id
stringlengths 9
14
| submitter
stringlengths 1
56
⌀ | authors
stringlengths 5
835
| title
stringlengths 5
209
| comments
stringlengths 2
590
⌀ | journal-ref
stringlengths 11
239
⌀ | doi
stringlengths 14
94
⌀ | report-no
stringlengths 4
104
⌀ | categories
stringclasses 610
values | license
stringclasses 9
values | orig_abstract
stringlengths 22
2.01k
| versions
listlengths 1
16
| update_date
stringdate 2007-05-23 00:00:00
2024-08-16 00:00:00
| authors_parsed
listlengths 1
32
| abstract
stringlengths 19
2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
| perplexity_s1-L-3.1-8B-base
float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
| perplexity_s9-L-3.1-8B-qkv
float64 3.06
549
| perplexity_s10-L-3.1-8B-qkv
float64 2.95
795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9906148
|
Zygmunt Lalak
|
John Ellis, Zygmunt Lalak, Stefan Pokorski and Steven Thomas
|
Supergravity and Supersymmetry Breaking in Four and Five Dimensions
|
17 pages, Latex
|
Nucl.Phys.B563:107-124,1999
|
10.1016/S0550-3213(99)00607-0
|
CERN-TH/99-185
|
hep-th hep-ph
| null |
We discuss supersymmetry breaking in the field-theoretical limit of the
strongly-coupled heterotic string compactified on a Calabi-Yau manifold, from
the different perspectives of four and five dimensions. The former applies to
light degrees of freedom below the threshold for five-dimensional Kaluza-Klein
excitations, whereas the five-dimensional perspective is also valid up to the
Calabi-Yau scale. We show how, in the latter case, two gauge sectors separated
in the fifth dimension are combined to form a consistent four-dimensional
supergravity. In the lowest order of the $\kappa^{2/3}$ expansion, we show how
a four-dimensional supergravity with gauge kinetic function $f_{1,2}=S$ is
reproduced, and we show how higher-order terms give rise to four-dimensional
operators that differ in the two gauge sectors. In the four-dimensional
approach, supersymmetry is seen to be broken when condensates form on one or
both walls, and the goldstino may have a non-zero dilatino component. As in the
five-dimensional approach, the Lagrangian is not a perfect square, and we have
not identified a vacuum with broken supersymmetry and zero vacuum energy. We
derive soft supersymmetry-breaking terms for non-standard perturbative
embeddings, that are relevant in more general situations such as type I/type
IIB orientifold models.
|
[
{
"created": "Fri, 18 Jun 1999 17:25:39 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ellis",
"John",
""
],
[
"Lalak",
"Zygmunt",
""
],
[
"Pokorski",
"Stefan",
""
],
[
"Thomas",
"Steven",
""
]
] |
We discuss supersymmetry breaking in the field-theoretical limit of the strongly-coupled heterotic string compactified on a Calabi-Yau manifold, from the different perspectives of four and five dimensions. The former applies to light degrees of freedom below the threshold for five-dimensional Kaluza-Klein excitations, whereas the five-dimensional perspective is also valid up to the Calabi-Yau scale. We show how, in the latter case, two gauge sectors separated in the fifth dimension are combined to form a consistent four-dimensional supergravity. In the lowest order of the $\kappa^{2/3}$ expansion, we show how a four-dimensional supergravity with gauge kinetic function $f_{1,2}=S$ is reproduced, and we show how higher-order terms give rise to four-dimensional operators that differ in the two gauge sectors. In the four-dimensional approach, supersymmetry is seen to be broken when condensates form on one or both walls, and the goldstino may have a non-zero dilatino component. As in the five-dimensional approach, the Lagrangian is not a perfect square, and we have not identified a vacuum with broken supersymmetry and zero vacuum energy. We derive soft supersymmetry-breaking terms for non-standard perturbative embeddings, that are relevant in more general situations such as type I/type IIB orientifold models.
| 8.867817
| 9.706027
| 9.884062
| 8.91451
| 9.851778
| 9.681822
| 9.780025
| 9.188409
| 8.925769
| 10.582609
| 9.23195
| 9.095915
| 8.923436
| 8.773347
| 8.817122
| 8.992463
| 8.889323
| 8.645387
| 8.848431
| 8.665109
| 8.683759
|
1606.03223
|
Chandrasekhar Bhamidipati
|
Chandrasekhar Bhamidipati and Pavan Kumar Yerra
|
Heat Engines for Dilatonic Born-Infeld Black Holes
|
v1:10 pages; v2: 24 pages, 35 figures, New results added, comparison
made with Brans-Dicke Born-Infeld theory. To appear in EPJC
| null |
10.1140/epjc/s10052-017-5076-2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of dilaton coupled Einstein gravity with a negative
cosmological constant and a Born-Infeld field, we study heat engines where
charged black hole is the working substance. Using the existence of a notion of
thermodynamic mass and volume (which depend on the dilaton coupling), the
mechanical work takes place via the pdV terms present in the first law of
extended gravitational thermodynamics. Efficiency is analyzed as a function of
dilaton and Born-Infeld couplings, and results are compared with analogous
computations in the related conformal solutions in the Brans-Dicke Born-Infeld
theory and black holes in Anti de Sitter space-time.
|
[
{
"created": "Fri, 10 Jun 2016 08:16:57 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2017 05:19:51 GMT",
"version": "v2"
}
] |
2017-08-02
|
[
[
"Bhamidipati",
"Chandrasekhar",
""
],
[
"Yerra",
"Pavan Kumar",
""
]
] |
In the context of dilaton coupled Einstein gravity with a negative cosmological constant and a Born-Infeld field, we study heat engines where charged black hole is the working substance. Using the existence of a notion of thermodynamic mass and volume (which depend on the dilaton coupling), the mechanical work takes place via the pdV terms present in the first law of extended gravitational thermodynamics. Efficiency is analyzed as a function of dilaton and Born-Infeld couplings, and results are compared with analogous computations in the related conformal solutions in the Brans-Dicke Born-Infeld theory and black holes in Anti de Sitter space-time.
| 12.412324
| 10.890754
| 11.032519
| 9.905516
| 12.583694
| 11.919724
| 12.762856
| 10.524907
| 10.562794
| 13.458079
| 11.211617
| 11.598349
| 11.515807
| 11.060481
| 11.8701
| 11.612653
| 11.818054
| 11.466058
| 11.599742
| 11.838099
| 11.67712
|
1705.07173
|
Matthew Buican
|
Matthew Buican and Takahiro Nishinaka
|
On Irregular Singularity Wave Functions and Superconformal Indices
|
34 pages, 2 figures
| null |
10.1007/JHEP09(2017)066
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize, in a manifestly Weyl-invariant way, our previous expressions
for irregular singularity wave functions in two-dimensional SU(2) q-deformed
Yang-Mills theory to SU(N). As an application, we give closed-form expressions
for the Schur indices of all (A_{N-1}, A_{N(n-1)-1}) Argyres-Douglas (AD)
superconformal field theories (SCFTs), thus completing the computation of these
quantities for the (A_N, A_M) SCFTs. With minimal effort, our wave functions
also give new Schur indices of various infinite sets of "Type IV" AD theories.
We explore the discrete symmetries of these indices and also show how highly
intricate renormalization group (RG) flows from isolated theories and conformal
manifolds in the ultraviolet to isolated theories and (products of) conformal
manifolds in the infrared are encoded in these indices. We compare our flows
with dimensionally reduced flows via a simple "monopole vev RG" formalism.
Finally, since our expressions are given in terms of concise Lie algebra data,
we speculate on extensions of our results that might be useful for probing the
existence of hypothetical SCFTs based on other Lie algebras. We conclude with a
discussion of some open problems.
|
[
{
"created": "Fri, 19 May 2017 20:28:37 GMT",
"version": "v1"
}
] |
2017-10-25
|
[
[
"Buican",
"Matthew",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] |
We generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N). As an application, we give closed-form expressions for the Schur indices of all (A_{N-1}, A_{N(n-1)-1}) Argyres-Douglas (AD) superconformal field theories (SCFTs), thus completing the computation of these quantities for the (A_N, A_M) SCFTs. With minimal effort, our wave functions also give new Schur indices of various infinite sets of "Type IV" AD theories. We explore the discrete symmetries of these indices and also show how highly intricate renormalization group (RG) flows from isolated theories and conformal manifolds in the ultraviolet to isolated theories and (products of) conformal manifolds in the infrared are encoded in these indices. We compare our flows with dimensionally reduced flows via a simple "monopole vev RG" formalism. Finally, since our expressions are given in terms of concise Lie algebra data, we speculate on extensions of our results that might be useful for probing the existence of hypothetical SCFTs based on other Lie algebras. We conclude with a discussion of some open problems.
| 9.553434
| 9.950041
| 11.048539
| 9.565736
| 9.874474
| 10.074965
| 9.594584
| 9.34604
| 9.225041
| 11.432166
| 9.548493
| 9.352507
| 9.361837
| 9.353748
| 9.288847
| 9.630941
| 9.239364
| 9.403309
| 9.141961
| 9.51083
| 9.234953
|
hep-th/9601137
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri
|
Group Theoretical Structure of $N=1$ and $N=2$ Two-Form Supegravity
|
Latex file, 15p
|
Int.J.Mod.Phys. A11 (1996) 4907-4920
|
10.1142/S0217751X96002248
|
NDA-FP-23
|
hep-th
| null |
We clarifies the group theoretical structure of $N=1$ and $N=2$ two-form
supergravity, which is classically equivalent to the Einstein supergravity.
$N=1$ and $N=2$ two-form supergravity theories can be formulated as gauge
theories. By introducing two Grassmann variables $\theta^A$ ($A=1,2$), we
construct the explicit representations of the generators $Q^i$ of the gauge
group, which makes to express any product of the generators as a linear
combination of the generators $Q^iQ^j=\sum_k f^{ij}_k Q^k$. By using the
expression and the tensor product representation, we explain how to construct
finite-dimensional representations of the gauge groups. Based on these
representations, we construct the Lagrangeans of $N=1$ and $N=2$ two-form
supergravity theories.
|
[
{
"created": "Thu, 25 Jan 1996 10:16:08 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Nojiri",
"Shin'ichi",
""
]
] |
We clarifies the group theoretical structure of $N=1$ and $N=2$ two-form supergravity, which is classically equivalent to the Einstein supergravity. $N=1$ and $N=2$ two-form supergravity theories can be formulated as gauge theories. By introducing two Grassmann variables $\theta^A$ ($A=1,2$), we construct the explicit representations of the generators $Q^i$ of the gauge group, which makes to express any product of the generators as a linear combination of the generators $Q^iQ^j=\sum_k f^{ij}_k Q^k$. By using the expression and the tensor product representation, we explain how to construct finite-dimensional representations of the gauge groups. Based on these representations, we construct the Lagrangeans of $N=1$ and $N=2$ two-form supergravity theories.
| 5.742841
| 5.41003
| 5.342697
| 5.386368
| 5.586396
| 5.841794
| 5.460235
| 5.465699
| 5.558325
| 5.839194
| 5.678098
| 5.519945
| 5.668759
| 5.384606
| 5.481883
| 5.411603
| 5.42224
| 5.381595
| 5.525456
| 5.625549
| 5.407299
|
1904.06295
|
Mihailo \v{C}ubrovi\'c
|
Mihailo \v{C}ubrovi\'c
|
The bound on chaos for closed strings in Anti-de Sitter black hole
backgrounds
|
31 pages, 6 figures; this version: added discussion on the relation
of the bulk Lyapunov exponent to field theory correlators; some minor
clarifications
|
JHEP 12 (2019) 150
|
10.1007/JHEP12(2019)150
| null |
hep-th gr-qc nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a systematic study of the maximum Lyapunov exponent values
$\lambda$ for the motion of classical closed strings in Anti-de Sitter black
hole geometries with spherical, planar and hyperbolic horizons. Analytical
estimates from the linearized variational equations together with numerical
integrations predict the bulk Lyapunov exponent value as $\lambda\approx 2\pi
Tn$, where $n$ is the winding number of the string. The celebrated bound on
chaos stating that $\lambda\leq 2\pi T$ is thus systematically modified for
winding strings in the bulk. Within gauge/string duality, such strings
apparently correspond to complicated operators which either do not move on
Regge trajectories, or move on subleading trajectories with an unusual slope.
Depending on the energy scale, the out-of-time-ordered correlation functions of
these operators may still obey the bound $2\pi T$, or they may violate it like
the bulk exponent. We do not know exactly why the bound on chaos can be
modified but the indication from the gauge/string dual viewpoint is that the
correlation functions of the dual gauge operators never factorize and thus the
original derivation of the bound on chaos does not apply.
|
[
{
"created": "Fri, 12 Apr 2019 16:08:36 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2019 15:47:46 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Oct 2019 22:46:19 GMT",
"version": "v3"
}
] |
2020-01-29
|
[
[
"Čubrović",
"Mihailo",
""
]
] |
We perform a systematic study of the maximum Lyapunov exponent values $\lambda$ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. Analytical estimates from the linearized variational equations together with numerical integrations predict the bulk Lyapunov exponent value as $\lambda\approx 2\pi Tn$, where $n$ is the winding number of the string. The celebrated bound on chaos stating that $\lambda\leq 2\pi T$ is thus systematically modified for winding strings in the bulk. Within gauge/string duality, such strings apparently correspond to complicated operators which either do not move on Regge trajectories, or move on subleading trajectories with an unusual slope. Depending on the energy scale, the out-of-time-ordered correlation functions of these operators may still obey the bound $2\pi T$, or they may violate it like the bulk exponent. We do not know exactly why the bound on chaos can be modified but the indication from the gauge/string dual viewpoint is that the correlation functions of the dual gauge operators never factorize and thus the original derivation of the bound on chaos does not apply.
| 11.193789
| 10.938284
| 11.127789
| 10.216965
| 11.750955
| 11.031001
| 10.884444
| 10.978553
| 10.3512
| 11.964249
| 9.917185
| 10.567642
| 10.725509
| 10.328271
| 10.794474
| 10.67005
| 10.582533
| 10.948903
| 10.549507
| 10.258162
| 10.379913
|
hep-th/9906149
|
Sergey Prokushkin
|
Sergey Prokushkin and Mikhail Vasiliev (Lebedev Physics Institute)
|
Currents of Arbitrary Spin in $AdS_3$
|
LaTeX, 11 pages, no figures; minor changes, version to appear in
Phys.Lett.B
|
Phys.Lett. B464 (1999) 53-61
|
10.1016/S0370-2693(99)01029-1
|
FIAN/TD/16--99
|
hep-th
| null |
We study conserved currents of any integer or half integer spin built from
massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved
currents in $AdS_3$ are shown to be exact in the class of infinite expansions
in higher derivatives of the matter fields with the coefficients containing
inverse powers of the cosmological constant. This property has no analog in the
flat space and may be related to the holography of the AdS spaces.
|
[
{
"created": "Fri, 18 Jun 1999 17:32:51 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Sep 1999 14:03:53 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Prokushkin",
"Sergey",
"",
"Lebedev Physics Institute"
],
[
"Vasiliev",
"Mikhail",
"",
"Lebedev Physics Institute"
]
] |
We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved currents in $AdS_3$ are shown to be exact in the class of infinite expansions in higher derivatives of the matter fields with the coefficients containing inverse powers of the cosmological constant. This property has no analog in the flat space and may be related to the holography of the AdS spaces.
| 9.03264
| 6.644174
| 9.180077
| 7.458735
| 6.970058
| 6.642328
| 6.623236
| 6.842041
| 7.279874
| 9.571916
| 7.43008
| 7.7257
| 8.579073
| 8.005373
| 7.370856
| 7.881073
| 8.09809
| 7.788847
| 7.832291
| 8.383886
| 7.97128
|
hep-th/0105263
|
Yosuke Imamura
|
Y. Imamura
|
1/4 BPS solutions in massive IIA supergravity
|
19 pages, PTPTeX, typos corrected, reference added
|
Prog.Theor.Phys. 106 (2001) 653-670
|
10.1143/PTP.106.653
|
UT-936
|
hep-th
| null |
We study four kinds of 1/4 BPS solutions in massive IIA supergravity
corresponding to D8-D0-F1, D8-D2, D8-D4 and D8-D6-NS5 systems. We show that
these solutions are reproduced without making nontrivial assumptions by using
supersymmetry conditions. D8-D2 and D8-D4 solutions are represented by harmonic
functions, as usual, while the other two are represented by solutions of
non-linear differential equations. Because these four solutions can be treated
in almost identical ways, we mainly focus on the D8-D6-NS5 systems. We first
discuss D6-NS5 solutions with uniform mass parameters. Then, we introduce
D8-branes as domain walls by connecting two solutions with different values of
the mass parameter. We also discuss boundary conditions and supersymmetry on
domain walls.
|
[
{
"created": "Sun, 27 May 2001 06:06:57 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jun 2001 14:02:24 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Sep 2001 12:15:52 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Imamura",
"Y.",
""
]
] |
We study four kinds of 1/4 BPS solutions in massive IIA supergravity corresponding to D8-D0-F1, D8-D2, D8-D4 and D8-D6-NS5 systems. We show that these solutions are reproduced without making nontrivial assumptions by using supersymmetry conditions. D8-D2 and D8-D4 solutions are represented by harmonic functions, as usual, while the other two are represented by solutions of non-linear differential equations. Because these four solutions can be treated in almost identical ways, we mainly focus on the D8-D6-NS5 systems. We first discuss D6-NS5 solutions with uniform mass parameters. Then, we introduce D8-branes as domain walls by connecting two solutions with different values of the mass parameter. We also discuss boundary conditions and supersymmetry on domain walls.
| 6.83796
| 6.904631
| 8.090508
| 6.863598
| 6.930307
| 6.517218
| 7.19396
| 7.268159
| 6.845183
| 7.936336
| 6.711164
| 6.757349
| 7.258247
| 6.731699
| 6.74438
| 6.598224
| 6.663467
| 6.718098
| 6.73884
| 7.184675
| 6.513958
|
2203.08867
|
Felipe Barbosa
|
F. A. da Silva Barbosa
|
Canonical analysis of Kalb-Ramond-Proca duality
|
The sections were rearranged and a new argument in the path integral
context was added. This preprint has not undergone peer review or any
post-submission improvements or corrections
|
Eur. Phys. J. Plus 137, 678 (2022)
|
10.1140/epjp/s13360-022-02856-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the canonical quantization of the free massive Kalb-Ramond
and Curtright-Freund Lagrangians leads to the same theory obtained from the
canonical quantization of the free Proca and Klein-Gordon Lagrangians. The
duality in the presence of interaction is explored in the context of the
Feynman rules and beyond. It is pointed out that the equivalence between
massive dual models without gauge symmetry is rooted in an ambiguity of
coordinate choices.
|
[
{
"created": "Wed, 16 Mar 2022 18:32:56 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2022 18:07:34 GMT",
"version": "v2"
}
] |
2022-06-14
|
[
[
"Barbosa",
"F. A. da Silva",
""
]
] |
It is shown that the canonical quantization of the free massive Kalb-Ramond and Curtright-Freund Lagrangians leads to the same theory obtained from the canonical quantization of the free Proca and Klein-Gordon Lagrangians. The duality in the presence of interaction is explored in the context of the Feynman rules and beyond. It is pointed out that the equivalence between massive dual models without gauge symmetry is rooted in an ambiguity of coordinate choices.
| 10.975049
| 9.905858
| 11.230274
| 9.636994
| 10.153535
| 10.06711
| 9.851506
| 10.731909
| 9.502206
| 12.166048
| 9.321616
| 9.871547
| 10.952903
| 10.09082
| 9.848981
| 9.983739
| 9.933042
| 9.601786
| 9.62147
| 10.639513
| 9.857924
|
hep-th/0312278
|
Vladimir Kassandrov
|
Vladimir V. Kassandrov
|
Nature of Time and particles-caustics: physical World in algebrodynamics
and in twistor theory
|
15 pages LaTeX. Talk presented at the Conference ``Physical
Interpretation of Relativity Theory'' (PIRT-03), Moscow, June 2003. Russian
version to appear in ``Hypercomplex numbers in Physics and Geometry'',
Moscow, 2003
|
Hypercomplex Num.Geom.Phys. 1 (2004) 89-105
| null | null |
hep-th gr-qc math-ph math.MP physics.class-ph
| null |
In the field theories with twistor structure particles can be identified with
(spacially bounded) caustics of null geodesic congruences defined by the
twistor field. As a realization, we consider the ``algebrodynamical'' approach
based on the field equations which originate from noncommutative analysis (over
the algebra of biquaternions) and lead to the complex eikonal field and to the
set of gauge fields associated with solutions of the eikonal equation.
Particle-like formations represented by singularities of these fields possess
``elementary'' electric charge and other realistic ``quantum numbers'' and
manifest self-consistent time evolution including transmutations. Related
concepts of generating ``World Function'' and of multivalued physical fields
are discussed. The picture of Lorentz invariant light-formed aether and of
matter born from light arises then quite naturally. The notion of the Time Flow
identified with the flow of primodial light (``pre-Light'') is introduced in
the context. Popularization and development of the paper math-ph/0311006.
|
[
{
"created": "Tue, 23 Dec 2003 16:30:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kassandrov",
"Vladimir V.",
""
]
] |
In the field theories with twistor structure particles can be identified with (spacially bounded) caustics of null geodesic congruences defined by the twistor field. As a realization, we consider the ``algebrodynamical'' approach based on the field equations which originate from noncommutative analysis (over the algebra of biquaternions) and lead to the complex eikonal field and to the set of gauge fields associated with solutions of the eikonal equation. Particle-like formations represented by singularities of these fields possess ``elementary'' electric charge and other realistic ``quantum numbers'' and manifest self-consistent time evolution including transmutations. Related concepts of generating ``World Function'' and of multivalued physical fields are discussed. The picture of Lorentz invariant light-formed aether and of matter born from light arises then quite naturally. The notion of the Time Flow identified with the flow of primodial light (``pre-Light'') is introduced in the context. Popularization and development of the paper math-ph/0311006.
| 22.047033
| 25.257608
| 23.257307
| 22.29389
| 23.55073
| 25.012533
| 24.713043
| 23.297514
| 23.356155
| 25.055847
| 23.804995
| 22.450211
| 22.66544
| 21.666138
| 22.333166
| 22.283272
| 22.495104
| 23.163691
| 22.763613
| 23.058905
| 22.714359
|
0806.3574
|
Ahmed Jellal
|
Ahmed Jellal, Rachi Houca
|
Periodic Structures with Rashba Interaction in Magnetic Field
|
24 pages, references added, misprints corrected. Version to appear in
JPA
|
J.Phys.A42:035205,2009
|
10.1088/1751-8113/42/3/035205
| null |
hep-th cond-mat.mes-hall math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the behaviour of a system of particles living on a periodic
crystal in the presence of a magnetic field B. This can be done by involving a
periodic potential U(x) and the Rashba interaction of coupling constant k_{so}.
By resorting the corresponding spectrum, we explicitly determine the band
structures and the Bloch spinors. These allow us to discuss the system
symmetries in terms of the polarizations where they are shown to be broken. The
dynamical spin will be studied by calculating different quantities. In the
limits: k_{so} and U(x)=0, we analyze again the system by deriving different
results. Considering the strong $B$ case, we obtain an interesting result that
is the conservation of the polarizations. Analyzing the critical point
\lambda_{k,\sigma}=\pm\sq{1\over 2}, we show that the Hilbert space associated
to the spectrum in z-direction has a zero mode energy similar to that of
massless Dirac fermions in graphene. Finally, we give the resulting energy
spectrum when B=0 and U(x) is arbitrary.
|
[
{
"created": "Sun, 22 Jun 2008 16:21:05 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Nov 2008 08:42:26 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Jellal",
"Ahmed",
""
],
[
"Houca",
"Rachi",
""
]
] |
We analyze the behaviour of a system of particles living on a periodic crystal in the presence of a magnetic field B. This can be done by involving a periodic potential U(x) and the Rashba interaction of coupling constant k_{so}. By resorting the corresponding spectrum, we explicitly determine the band structures and the Bloch spinors. These allow us to discuss the system symmetries in terms of the polarizations where they are shown to be broken. The dynamical spin will be studied by calculating different quantities. In the limits: k_{so} and U(x)=0, we analyze again the system by deriving different results. Considering the strong $B$ case, we obtain an interesting result that is the conservation of the polarizations. Analyzing the critical point \lambda_{k,\sigma}=\pm\sq{1\over 2}, we show that the Hilbert space associated to the spectrum in z-direction has a zero mode energy similar to that of massless Dirac fermions in graphene. Finally, we give the resulting energy spectrum when B=0 and U(x) is arbitrary.
| 17.680857
| 17.662239
| 18.299669
| 17.110235
| 18.152491
| 18.419165
| 18.09687
| 17.513384
| 17.174448
| 18.702394
| 17.118887
| 16.221334
| 17.243347
| 16.745703
| 16.268074
| 16.766497
| 17.334143
| 16.539206
| 16.921764
| 16.977854
| 16.688948
|
hep-th/0307056
|
Pietro Antonio Grassi
|
P. A. Grassi (YITP, Stony Brook), G. Policastro (DAMTP, Cambridge),
and P. van Nieuwenhuizen (YITP, Stony Brook)
|
The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
|
26 pages, harmvac; major additions and new results
|
Nucl.Phys. B676 (2004) 43-63
|
10.1016/j.nuclphysb.2003.10.008
|
YITP-SB-03-03, LPTENS 03/24, DAMTP-2003-64
|
hep-th
| null |
We present a new development in our approach to the covariant quantization of
superstrings in 10 dimensions which is based on a gauged WZNW model. To
incorporate worldsheet diffeomorphisms we need the quartet of ghosts
$(b_{zz},c^{z}, \b_{zz}, \g^{z})$ for topological gravity. The currents of this
combined system form an N=2 superconformal algebra. The model has vanishing
central charge and contains two anticommuting BRST charges, $Q_{S}=Q_{W} +
\oint \g^{z} b_{zz} + \oint \eta_{z}$ and $Q_{V} = \oint c^{z} \Big(T^{W}_{zz}
+ {1\over 2} T^{top}_{zz}\Big) + \g^{z} (B^{W}_{zz} + {1\over 2} B^{top}_{zz}
\Big)$, where $\eta_{z}$ is obtained by the usual fermionization of $\b_{zz},
\g^{z}$. Physical states form the cohomology of $Q_{S}+Q_{V}$, have nonnegative
grading, and are annihilated by $b_{0}$ and $\beta_{0}$. We no longer introduce
any ghosts by hand, and the formalism is completely Lorentz covariant.
|
[
{
"created": "Mon, 7 Jul 2003 17:08:59 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2003 09:00:18 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Aug 2003 19:27:44 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Grassi",
"P. A.",
"",
"YITP, Stony Brook"
],
[
"Policastro",
"G.",
"",
"DAMTP, Cambridge"
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony Brook"
]
] |
We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts $(b_{zz},c^{z}, \b_{zz}, \g^{z})$ for topological gravity. The currents of this combined system form an N=2 superconformal algebra. The model has vanishing central charge and contains two anticommuting BRST charges, $Q_{S}=Q_{W} + \oint \g^{z} b_{zz} + \oint \eta_{z}$ and $Q_{V} = \oint c^{z} \Big(T^{W}_{zz} + {1\over 2} T^{top}_{zz}\Big) + \g^{z} (B^{W}_{zz} + {1\over 2} B^{top}_{zz} \Big)$, where $\eta_{z}$ is obtained by the usual fermionization of $\b_{zz}, \g^{z}$. Physical states form the cohomology of $Q_{S}+Q_{V}$, have nonnegative grading, and are annihilated by $b_{0}$ and $\beta_{0}$. We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.
| 6.19676
| 6.885392
| 6.695784
| 6.290846
| 6.382806
| 6.205822
| 6.456944
| 6.563178
| 6.259526
| 7.204369
| 6.25301
| 6.138713
| 6.2891
| 6.004131
| 6.388525
| 6.309282
| 6.260872
| 6.140216
| 6.15296
| 6.487734
| 6.194237
|
0711.4469
|
Yi-Fu Cai
|
Hua-Hui Xiong, Taotao Qiu, Yi-Fu Cai, Xinmin Zhang
|
Cyclic Universe with Quintom matter in Loop Quantum Cosmology
|
11 pages, 2 figures
|
Mod.Phys.Lett.A24:1237-1246,2009
|
10.1142/S0217732309030667
| null |
hep-th astro-ph gr-qc
| null |
In this paper, we study the possibility of model building of cyclic universe
with Quintom matter in the framework of Loop Quantum Cosmology. After a general
demonstration, we provide two examples, one with double-fluid and another
double-scalar field, to show how such a scenario is obtained. Analytical and
numerical calculations are both presented in the paper.
|
[
{
"created": "Wed, 28 Nov 2007 10:59:10 GMT",
"version": "v1"
}
] |
2010-04-23
|
[
[
"Xiong",
"Hua-Hui",
""
],
[
"Qiu",
"Taotao",
""
],
[
"Cai",
"Yi-Fu",
""
],
[
"Zhang",
"Xinmin",
""
]
] |
In this paper, we study the possibility of model building of cyclic universe with Quintom matter in the framework of Loop Quantum Cosmology. After a general demonstration, we provide two examples, one with double-fluid and another double-scalar field, to show how such a scenario is obtained. Analytical and numerical calculations are both presented in the paper.
| 12.345658
| 11.8064
| 10.704349
| 9.276198
| 10.486934
| 9.339584
| 11.885784
| 9.884633
| 11.787705
| 10.589921
| 11.729342
| 11.007746
| 10.238408
| 10.157889
| 10.153349
| 10.062582
| 10.460322
| 9.813015
| 10.818966
| 10.188343
| 11.034789
|
hep-th/9112021
|
Kitazawa
|
Yoshihisa Kitazawa
|
Puncture Operator in c=1 Liouville Gravity
|
12 pages
| null | null | null |
hep-th
| null |
We identify the puncture operator in c=1 Liouville gravity as the discrete
state with spin J=1/2. The correlation functions involving this operator
satisfy the recursion relation which is characteristic in topological gravity.
We derive the recursion relation involving the puncture operator by the
operator product expansion. Multiple point correlation functions are determined
recursively from fewer point functions by this recursion relation.
|
[
{
"created": "Tue, 10 Dec 1991 13:42:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kitazawa",
"Yoshihisa",
""
]
] |
We identify the puncture operator in c=1 Liouville gravity as the discrete state with spin J=1/2. The correlation functions involving this operator satisfy the recursion relation which is characteristic in topological gravity. We derive the recursion relation involving the puncture operator by the operator product expansion. Multiple point correlation functions are determined recursively from fewer point functions by this recursion relation.
| 13.998567
| 10.958276
| 14.60482
| 11.609836
| 9.63613
| 10.480887
| 10.442999
| 12.494137
| 10.817295
| 16.514051
| 10.592072
| 11.631234
| 15.291277
| 12.421827
| 11.953773
| 11.30289
| 12.308325
| 12.505435
| 11.833031
| 13.999027
| 11.50846
|
2003.01729
|
Carlo Alberto Cremonini
|
C.A. Cremonini, P.A. Grassi, and S. Penati
|
Supersymmetric Wilson Loops via Integral Forms
|
52 pages, no figures, added 1 reference and a sentence in the
conclusions
| null |
10.1007/JHEP04(2020)161
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study supersymmetric Wilson loops from a geometrical perspective. To this
end, we propose a new formulation of these operators in terms of an integral
form associated to the immersion of the loop into a supermanifold. This
approach provides a unifying description of Wilson loops preserving different
sets of supercharges, and clarifies the flow between them. Moreover, it allows
to exploit the powerful techniques of super-differential calculus for
investigating their symmetries. As remarkable examples, we discuss
supersymmetry and kappa-symmetry invariance.
|
[
{
"created": "Tue, 3 Mar 2020 19:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 2020 10:30:43 GMT",
"version": "v2"
}
] |
2020-05-20
|
[
[
"Cremonini",
"C. A.",
""
],
[
"Grassi",
"P. A.",
""
],
[
"Penati",
"S.",
""
]
] |
We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the immersion of the loop into a supermanifold. This approach provides a unifying description of Wilson loops preserving different sets of supercharges, and clarifies the flow between them. Moreover, it allows to exploit the powerful techniques of super-differential calculus for investigating their symmetries. As remarkable examples, we discuss supersymmetry and kappa-symmetry invariance.
| 10.203564
| 9.335993
| 10.746946
| 8.930754
| 9.721115
| 9.678836
| 9.806719
| 8.827118
| 9.355255
| 13.666921
| 9.388732
| 9.830925
| 10.496157
| 10.032442
| 9.633982
| 9.710744
| 9.757083
| 9.928477
| 9.715812
| 10.399369
| 9.568086
|
hep-th/9603095
|
Fedele Lizzi
|
F. Lizzi, G. Mangano, G. Miele and G. Sparano
|
Constraints on Unified Gauge Theories from Noncommutative Geometry
|
18 pages, Plain LaTeX, no figures
|
Mod.Phys.Lett. A11 (1996) 2561-2572
|
10.1142/S0217732396002575
|
DSF-T-9/96
|
hep-th
| null |
The Connes and Lott reformulation of the strong and electroweak model
represents a promising application of noncommutative geometry. In this scheme
the Higgs field naturally appears in the theory as a particular `gauge boson',
connected to the discrete internal space, and its quartic potential, fixed by
the model, is not vanishing only when more than one fermion generation is
present. Moreover, the exact hypercharge assignments and relations among the
masses of particles have been obtained. This paper analyzes the possibility of
extensions of this model to larger unified gauge groups. Noncommutative
geometry imposes very stringent constraints on the possible theories, and
remarkably, the analysis seems to suggest that no larger gauge groups are
compatible with the noncommutative structure, unless one enlarges the fermionic
degrees of freedom, namely the number of particles.
|
[
{
"created": "Thu, 14 Mar 1996 14:07:46 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Lizzi",
"F.",
""
],
[
"Mangano",
"G.",
""
],
[
"Miele",
"G.",
""
],
[
"Sparano",
"G.",
""
]
] |
The Connes and Lott reformulation of the strong and electroweak model represents a promising application of noncommutative geometry. In this scheme the Higgs field naturally appears in the theory as a particular `gauge boson', connected to the discrete internal space, and its quartic potential, fixed by the model, is not vanishing only when more than one fermion generation is present. Moreover, the exact hypercharge assignments and relations among the masses of particles have been obtained. This paper analyzes the possibility of extensions of this model to larger unified gauge groups. Noncommutative geometry imposes very stringent constraints on the possible theories, and remarkably, the analysis seems to suggest that no larger gauge groups are compatible with the noncommutative structure, unless one enlarges the fermionic degrees of freedom, namely the number of particles.
| 12.245829
| 12.222731
| 11.499518
| 10.669462
| 11.374479
| 11.889389
| 12.247164
| 11.345829
| 11.452518
| 12.294508
| 10.713532
| 10.669536
| 11.285368
| 10.839559
| 11.087454
| 10.710082
| 10.748343
| 10.271322
| 11.183147
| 11.201707
| 10.961858
|
hep-th/0506180
|
Ben Craps
|
Ben Craps, Savdeep Sethi, Erik Verlinde
|
A Matrix Big Bang
|
25 pages, LaTeX; v2: discussion of singularity of Einstein frame
metric added, references added
|
JHEP0510:005,2005
|
10.1088/1126-6708/2005/10/005
|
ITFA-2005-21, EFI-05-04
|
hep-th astro-ph
| null |
The light-like linear dilaton background represents a particularly simple
time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten
dimensions. Its lift to M-theory, as well as its Einstein frame metric, are
singular in the sense that the geometry is geodesically incomplete and the
Riemann tensor diverges along a light-like subspace of codimension one. We
study this background as a model for a big bang type singularity in string
theory/M-theory. We construct the dual Matrix theory description in terms of a
(1+1)-d supersymmetric Yang-Mills theory on a time-dependent world-sheet given
by the Milne orbifold of (1+1)-d Minkowski space. Our model provides a
framework in which the physics of the singularity appears to be under control.
|
[
{
"created": "Tue, 21 Jun 2005 19:51:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jun 2005 08:42:42 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Craps",
"Ben",
""
],
[
"Sethi",
"Savdeep",
""
],
[
"Verlinde",
"Erik",
""
]
] |
The light-like linear dilaton background represents a particularly simple time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten dimensions. Its lift to M-theory, as well as its Einstein frame metric, are singular in the sense that the geometry is geodesically incomplete and the Riemann tensor diverges along a light-like subspace of codimension one. We study this background as a model for a big bang type singularity in string theory/M-theory. We construct the dual Matrix theory description in terms of a (1+1)-d supersymmetric Yang-Mills theory on a time-dependent world-sheet given by the Milne orbifold of (1+1)-d Minkowski space. Our model provides a framework in which the physics of the singularity appears to be under control.
| 6.035704
| 5.861446
| 7.800876
| 5.818197
| 6.497289
| 6.148332
| 5.972306
| 5.797111
| 5.938508
| 8.073711
| 5.862134
| 5.700745
| 6.497558
| 5.974393
| 5.821665
| 5.685934
| 5.937214
| 6.124943
| 5.744861
| 6.535595
| 5.883549
|
0804.3563
|
Bert Schroer
|
Bert Schroer
|
A note on Infraparticles and Unparticles
|
23 pages, Addition of many references and improvements of
formulations
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The observed astrophysical phenomenon of dark matter has generated new
interest in the problem of whether the principles underlying QFT are consistent
with invisibility/inertness of energy-momentum carrying "stuff" as e.g.
"unparticles". We show that the 2-dim. model which has been used to illustrate
the meaning of unparticles belongs to the class of former infraparticles models
and the latter are known to describe electrically charged particles in d=1+3
which despite their nonlocality are our best particle physics "candles". The
"invisibility" in this case refers to the infinite infrared photon cloud with
energies below the resolution and can be made arbitrarily small by increasing
the photon registering sensitivity. This is not quite the kind of invisibility
which the unparticle community attributes to their invisible "stuff" and which
would probably contradict the asymptotic completeness property. The main aim of
the present work is to show that knowledge about this part of QFT is still in
its infancy and express the hope that the work on unparticles may rekindle a
new interest in conceptually subtle old unsolved important problems.
|
[
{
"created": "Tue, 22 Apr 2008 19:35:38 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2008 18:59:25 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jul 2008 18:15:05 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Feb 2009 19:49:14 GMT",
"version": "v4"
},
{
"created": "Tue, 2 Jun 2009 17:56:47 GMT",
"version": "v5"
}
] |
2009-06-02
|
[
[
"Schroer",
"Bert",
""
]
] |
The observed astrophysical phenomenon of dark matter has generated new interest in the problem of whether the principles underlying QFT are consistent with invisibility/inertness of energy-momentum carrying "stuff" as e.g. "unparticles". We show that the 2-dim. model which has been used to illustrate the meaning of unparticles belongs to the class of former infraparticles models and the latter are known to describe electrically charged particles in d=1+3 which despite their nonlocality are our best particle physics "candles". The "invisibility" in this case refers to the infinite infrared photon cloud with energies below the resolution and can be made arbitrarily small by increasing the photon registering sensitivity. This is not quite the kind of invisibility which the unparticle community attributes to their invisible "stuff" and which would probably contradict the asymptotic completeness property. The main aim of the present work is to show that knowledge about this part of QFT is still in its infancy and express the hope that the work on unparticles may rekindle a new interest in conceptually subtle old unsolved important problems.
| 20.807875
| 21.972925
| 23.125866
| 21.991295
| 22.269674
| 22.623232
| 22.304644
| 22.267887
| 22.904528
| 24.051641
| 20.690657
| 21.28392
| 21.015169
| 21.13413
| 20.455109
| 20.709267
| 21.601875
| 20.898197
| 21.275221
| 20.50947
| 20.662207
|
hep-th/0604031
|
Diego Rodriguez-Gomez
|
Diego Rodriguez-Gomez (U. de Oviedo & U.Autonoma de Madrid)
|
Computing Wilson lines with dielectric branes
|
Final version to appear in Nucl.Phys.B. Cites added
|
Nucl.Phys.B752:316-326,2006
|
10.1016/j.nuclphysb.2006.06.037
| null |
hep-th
| null |
Wilson lines in N=4SYM can be computed in terms of branes carrying electric
flux, i.e. F-strings dissolved in their worldvolumes. It is then natural to
think that those configurations are the effective description of strings
expanding due to dielectric effect to D-branes. In this note we explicitly show
this for a class of such configurations, namely those dual to Wilson lines
either in the symmetric or in the antisymmetric tensor product of fundamentals.
|
[
{
"created": "Wed, 5 Apr 2006 13:29:42 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 2006 08:06:08 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2006 07:42:58 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Rodriguez-Gomez",
"Diego",
"",
"U. de Oviedo & U.Autonoma de Madrid"
]
] |
Wilson lines in N=4SYM can be computed in terms of branes carrying electric flux, i.e. F-strings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due to dielectric effect to D-branes. In this note we explicitly show this for a class of such configurations, namely those dual to Wilson lines either in the symmetric or in the antisymmetric tensor product of fundamentals.
| 15.083529
| 13.60598
| 15.878077
| 12.461003
| 14.050217
| 13.353439
| 13.961816
| 12.646732
| 12.40873
| 17.077484
| 12.729097
| 12.009099
| 13.706456
| 12.860167
| 12.373211
| 12.186508
| 12.477428
| 12.392016
| 12.473574
| 13.537971
| 12.359612
|
hep-th/9108015
| null |
F. David, H. Neuberger
|
A $U(N)$ Gauge Theory in Three Dimensions as an Ensemble of Surfaces
|
8p, Phys. Lett. B, to appear
|
Phys. Lett. B269 (1991) 134-138
|
10.1016/0370-2693(91)91464-7
| null |
hep-th
| null |
A particular $U(N)$ gauge theory defined on the three dimensional
dodecahedral lattice is shown to correspond to a model of oriented
self-avoiding surfaces. Using large $N$ reduction it is argued that the model
is partially soluble in the planar limit.
|
[
{
"created": "Fri, 23 Aug 1991 16:23:18 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"David",
"F.",
""
],
[
"Neuberger",
"H.",
""
]
] |
A particular $U(N)$ gauge theory defined on the three dimensional dodecahedral lattice is shown to correspond to a model of oriented self-avoiding surfaces. Using large $N$ reduction it is argued that the model is partially soluble in the planar limit.
| 11.402327
| 9.68776
| 10.546685
| 8.773968
| 10.137762
| 10.660685
| 8.810658
| 8.135538
| 9.729654
| 12.330969
| 10.076274
| 8.721498
| 10.292677
| 9.351273
| 9.447302
| 9.439872
| 9.597013
| 9.348226
| 9.180987
| 10.758801
| 9.115506
|
hep-th/0301221
|
Skenderis Kostas
|
Kostas Skenderis and Marika Taylor
|
An overview of branes in the plane wave background
|
8 pages, to appear in the proceedings of the Workshop on the Quantum
Structure of Spacetime and the Geometric Nature of Fundamental Interactions
held in Leuven from Sept 13th to Sept 19th, 2002
|
Class.Quant.Grav. 20 (2003) S567-S574
|
10.1088/0264-9381/20/12/325
|
ITFA-2003-04,ITP-UU-03/02, SPIN-03/02
|
hep-th
| null |
We give an overview of D-branes in the maximally supersymmetric plane wave
background of IIB supergravity. We start by reviewing the results of the probe
analysis. We then present the open string analysis and show how certain
spacetime symmetries are restored using worldsheet symmetries. We discuss the
construction of these branes as boundary states and summarize what is known
about the dual gauge theory description.
|
[
{
"created": "Mon, 27 Jan 2003 22:02:18 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
]
] |
We give an overview of D-branes in the maximally supersymmetric plane wave background of IIB supergravity. We start by reviewing the results of the probe analysis. We then present the open string analysis and show how certain spacetime symmetries are restored using worldsheet symmetries. We discuss the construction of these branes as boundary states and summarize what is known about the dual gauge theory description.
| 8.673769
| 7.18562
| 10.424378
| 7.537597
| 8.020986
| 7.871648
| 7.643973
| 7.415149
| 7.212531
| 10.821045
| 7.668508
| 7.621778
| 8.676068
| 7.486248
| 7.676368
| 7.346929
| 7.70149
| 7.778216
| 7.597356
| 8.346804
| 7.542853
|
hep-th/9405015
| null |
J. Navarro-Salas, M. Navarro and C. F. Talavera
|
Canonical Structure of 2D Black Holes
|
8 pages, 1 figure (uuencoded) included, plain Latex, a4, psfig.
FTUV/94-23, IFIC/94-21, Imperial-TP/93-93/32
|
Phys.Lett. B335 (1994) 334-338
|
10.1016/0370-2693(94)90360-3
| null |
hep-th
| null |
We determine the canonical structure of two-dimensional black-hole solutions
arising in $2D$ dilaton gravity. By choosing the Cauchy surface appropriately
we find that the canonically conjugate variable to the black hole mass is given
by the difference of local (Schwarzschild) time translations at right and left
spatial infinities. This can be regarded as a generalization of Birkhoff's
theorem.
|
[
{
"created": "Tue, 3 May 1994 14:05:00 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 1994 11:41:00 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Navarro-Salas",
"J.",
""
],
[
"Navarro",
"M.",
""
],
[
"Talavera",
"C. F.",
""
]
] |
We determine the canonical structure of two-dimensional black-hole solutions arising in $2D$ dilaton gravity. By choosing the Cauchy surface appropriately we find that the canonically conjugate variable to the black hole mass is given by the difference of local (Schwarzschild) time translations at right and left spatial infinities. This can be regarded as a generalization of Birkhoff's theorem.
| 9.30013
| 7.327825
| 7.988246
| 7.559997
| 7.651972
| 8.979911
| 7.398147
| 7.808389
| 7.165105
| 8.983924
| 7.965756
| 7.654569
| 8.444911
| 7.575344
| 7.726219
| 7.587954
| 7.370188
| 7.537613
| 7.7075
| 8.202913
| 7.574336
|
hep-th/0401168
|
Varghese Mathai
|
Varghese Mathai and Jonathan Rosenberg
|
T-duality for torus bundles via noncommutative topology
|
16 pages, Latex2e, 1 figure
|
Commun.Math.Phys.253:705-721,2004
|
10.1007/s00220-004-1159-7
| null |
hep-th math.OA
| null |
It is known that the T-dual of a circle bundle with H-flux (given by a
Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it
is also known that torus bundles with H-flux do not necessarily have a T-dual
which is a torus bundle. A big puzzle has been to explain these mysterious
"missing T-duals.'' Here we show that this problem is resolved using
noncommutative topology. It turns out that every principal 2-torus-bundle with
H-flux does indeed have a T-dual, but in the missing cases (which we
characterize), the T-dual is non-classical and is a bundle of noncommutative
tori. The duality comes with an isomorphism of twisted K-theories, just as in
the classical case. The isomorphism of twisted cohomology which one gets in the
classical case is replaced by an isomorphism of twisted cyclic homology.
|
[
{
"created": "Fri, 23 Jan 2004 04:45:08 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Mathai",
"Varghese",
""
],
[
"Rosenberg",
"Jonathan",
""
]
] |
It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do not necessarily have a T-dual which is a torus bundle. A big puzzle has been to explain these mysterious "missing T-duals.'' Here we show that this problem is resolved using noncommutative topology. It turns out that every principal 2-torus-bundle with H-flux does indeed have a T-dual, but in the missing cases (which we characterize), the T-dual is non-classical and is a bundle of noncommutative tori. The duality comes with an isomorphism of twisted K-theories, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced by an isomorphism of twisted cyclic homology.
| 5.537235
| 5.303071
| 6.518695
| 5.215639
| 5.368321
| 5.32686
| 5.799329
| 5.324109
| 5.137763
| 7.052391
| 5.306617
| 5.2275
| 5.755941
| 5.379498
| 5.612197
| 5.476746
| 5.447521
| 5.437734
| 5.457874
| 5.817388
| 5.431721
|
hep-th/0409194
|
Andrea Quadri
|
Ruggero Ferrari, Marco Picariello (Dip. di Fisica, Universita' di
Milano and INFN, sezione di Milano), Andrea Quadri (Max-Planck-Institut fuer
Physik, Munich)
|
Some Conjectures on the Limit of Infinite Higgs Mass
|
One reference added. Final version to appear in the journal
|
Phys.Lett. B611 (2005) 215-221
|
10.1016/j.physletb.2005.02.042
|
IFUM-803-FT and MPI-PhT/2004-91
|
hep-th hep-ph
| null |
We consider a possible field theory candidate for the electroweak SU(2) x
U(1) model where the limit of infinitely sharp Higgs potential is performed. We
show that it is possible to formulate such a limit as a Stueckelberg massive
non abelian gauge theory.
|
[
{
"created": "Mon, 20 Sep 2004 15:52:19 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2004 09:49:55 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Feb 2005 13:40:03 GMT",
"version": "v3"
}
] |
2007-06-22
|
[
[
"Ferrari",
"Ruggero",
"",
"Dip. di Fisica, Universita' di\n Milano and INFN, sezione di Milano"
],
[
"Picariello",
"Marco",
"",
"Dip. di Fisica, Universita' di\n Milano and INFN, sezione di Milano"
],
[
"Quadri",
"Andrea",
"",
"Max-Planck-Institut fuer\n Physik, Munich"
]
] |
We consider a possible field theory candidate for the electroweak SU(2) x U(1) model where the limit of infinitely sharp Higgs potential is performed. We show that it is possible to formulate such a limit as a Stueckelberg massive non abelian gauge theory.
| 10.672001
| 10.064698
| 10.050406
| 9.283688
| 10.584011
| 10.265515
| 9.663349
| 10.040156
| 9.636431
| 10.20798
| 9.104886
| 9.534473
| 9.898703
| 9.685104
| 9.590569
| 9.80505
| 9.84776
| 9.38021
| 10.14015
| 10.948882
| 9.361896
|
hep-th/9804121
|
Steven B. Giddings
|
Steven B. Giddings, Feike Hacquebord, and Herman Verlinde
|
High Energy Scattering and D-Pair Creation in Matrix String Theory
|
44 pages, harvmac; minor reference and equation corrections
|
Nucl.Phys. B537 (1999) 260-296
|
10.1016/S0550-3213(98)00662-2
|
UCSBTH-98-3
|
hep-th
| null |
In this paper we use the matrix string approach to begin a study of high
energy scattering processes in M-theory. In particular we exhibit an
instanton-type configuration in 1+1 super-Yang-Mills theory that can be
interpreted as a non-perturbative description of a string interaction. This
solution is used to describe high energy processes with non-zero longitudinal
momentum exchange, in which an arbitrary number of eigenvalues get transferred
between the two scattering states. We describe a direct correspondence between
these semi-classical SYM configurations and the Gross-Mende saddle points. We
also study in detail the pair production of D-particles via a one-loop
calculation which in the 1+1D gauge theory language is described by the
(perturbative) transition between states with different electric flux. Finally,
we discuss a possible connection between these calculations in which D-particle
production gives important corrections to the Gross-Mende process.
|
[
{
"created": "Sat, 18 Apr 1998 02:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 1998 00:48:10 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jul 1998 22:39:27 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Giddings",
"Steven B.",
""
],
[
"Hacquebord",
"Feike",
""
],
[
"Verlinde",
"Herman",
""
]
] |
In this paper we use the matrix string approach to begin a study of high energy scattering processes in M-theory. In particular we exhibit an instanton-type configuration in 1+1 super-Yang-Mills theory that can be interpreted as a non-perturbative description of a string interaction. This solution is used to describe high energy processes with non-zero longitudinal momentum exchange, in which an arbitrary number of eigenvalues get transferred between the two scattering states. We describe a direct correspondence between these semi-classical SYM configurations and the Gross-Mende saddle points. We also study in detail the pair production of D-particles via a one-loop calculation which in the 1+1D gauge theory language is described by the (perturbative) transition between states with different electric flux. Finally, we discuss a possible connection between these calculations in which D-particle production gives important corrections to the Gross-Mende process.
| 12.410117
| 11.401141
| 13.132727
| 11.236469
| 11.525374
| 11.783402
| 12.325624
| 11.71772
| 11.225966
| 14.060218
| 11.301744
| 11.347888
| 12.821285
| 11.564877
| 11.268244
| 11.241261
| 11.093202
| 11.648135
| 11.430833
| 12.245321
| 11.452818
|
1412.8584
|
Zvi Bern
|
Zvi Bern, Enrico Herrmann, Sean Litsey, James Stankowicz and Jaroslav
Trnka
|
Logarithmic Singularities and Maximally Supersymmetric Amplitudes
|
82 pages, 22 figure, JHEP3.cls. v2 updated references and minor
corrections
| null | null |
CALT-TH-2014-172, UCLA/14/TEP/109
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dual formulation of planar N = 4 super-Yang-Mills scattering amplitudes
makes manifest that the integrand has only logarithmic singularities and no
poles at infinity. Recently, Arkani-Hamed, Bourjaily, Cachazo and Trnka
conjectured the same singularity properties hold to all loop orders in the
nonplanar sector as well. Here we conjecture that to all loop orders these
constraints give us the key analytic information contained in dual conformal
symmetry. We also conjecture that to all loop orders, while N = 8 supergravity
has poles at infinity, at least at four points it has only logarithmic
singularities at finite locations. We provide nontrivial evidence for these
conjectures. For the three-loop four-point N = 4 super-Yang-Mills amplitude, we
explicitly construct a complete basis of diagram integrands that has only
logarithmic singularities and no poles at infinity. We then express the
complete amplitude in terms of the basis diagrams, with the coefficients
determined by unitarity. We also give examples at three loops showing how to
make the logarithmic singularity properties manifest via dlog forms. We give
additional evidence at four and five loops supporting the nonplanar logarithmic
singularity conjecture. Furthermore, we present a variety of examples
illustrating that these constraints are more restrictive than dual conformal
symmetry. Our investigations show that the singularity structures of planar and
nonplanar amplitudes in N = 4 super-Yang-Mills are strikingly similar. While it
is not clear how to extend either dual conformal symmetry or a dual formulation
to the nonplanar sector, these results suggest that related concepts might
exist and await discovery. Finally, we describe the singularity structure of N
= 8 supergravity at three loops and beyond.
|
[
{
"created": "Tue, 30 Dec 2014 08:54:13 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Feb 2016 06:02:06 GMT",
"version": "v2"
}
] |
2016-02-02
|
[
[
"Bern",
"Zvi",
""
],
[
"Herrmann",
"Enrico",
""
],
[
"Litsey",
"Sean",
""
],
[
"Stankowicz",
"James",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
The dual formulation of planar N = 4 super-Yang-Mills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently, Arkani-Hamed, Bourjaily, Cachazo and Trnka conjectured the same singularity properties hold to all loop orders in the nonplanar sector as well. Here we conjecture that to all loop orders these constraints give us the key analytic information contained in dual conformal symmetry. We also conjecture that to all loop orders, while N = 8 supergravity has poles at infinity, at least at four points it has only logarithmic singularities at finite locations. We provide nontrivial evidence for these conjectures. For the three-loop four-point N = 4 super-Yang-Mills amplitude, we explicitly construct a complete basis of diagram integrands that has only logarithmic singularities and no poles at infinity. We then express the complete amplitude in terms of the basis diagrams, with the coefficients determined by unitarity. We also give examples at three loops showing how to make the logarithmic singularity properties manifest via dlog forms. We give additional evidence at four and five loops supporting the nonplanar logarithmic singularity conjecture. Furthermore, we present a variety of examples illustrating that these constraints are more restrictive than dual conformal symmetry. Our investigations show that the singularity structures of planar and nonplanar amplitudes in N = 4 super-Yang-Mills are strikingly similar. While it is not clear how to extend either dual conformal symmetry or a dual formulation to the nonplanar sector, these results suggest that related concepts might exist and await discovery. Finally, we describe the singularity structure of N = 8 supergravity at three loops and beyond.
| 5.925292
| 6.153986
| 6.605467
| 5.803119
| 6.086786
| 6.436169
| 6.346886
| 6.20352
| 6.037241
| 6.459951
| 6.094792
| 5.828935
| 5.922864
| 5.593692
| 5.68027
| 5.694199
| 5.719365
| 5.823946
| 5.720061
| 5.74648
| 5.553893
|
hep-th/9804144
|
Pedro D. Fonseca
|
Pedro D. Fonseca (Rutgers University)
|
Non-Existence of Local Integrals of Motion in the Multi-Deformed Ising
Model
|
6 pages, latex, one reference added
|
Mod.Phys.Lett. A13 (1998) 1931-1935
|
10.1142/S0217732398002047
|
RU-98-16
|
hep-th cond-mat
| null |
We confirm the non-integrability of the multi-deformed Ising Model, an
already expected result. After deforming with the energy operator $\phi_{1,3}$
we use the Majorana free fermionic representation for the massive theory to
show that, besides the trivial one, no local integrals of motion can be built
in the theory arising from perturbing with both energy and spin operators.
|
[
{
"created": "Tue, 21 Apr 1998 22:36:44 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Apr 1998 23:58:11 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Fonseca",
"Pedro D.",
"",
"Rutgers University"
]
] |
We confirm the non-integrability of the multi-deformed Ising Model, an already expected result. After deforming with the energy operator $\phi_{1,3}$ we use the Majorana free fermionic representation for the massive theory to show that, besides the trivial one, no local integrals of motion can be built in the theory arising from perturbing with both energy and spin operators.
| 22.920004
| 17.948648
| 24.536177
| 17.196568
| 16.365236
| 20.343134
| 16.973202
| 17.131338
| 16.951424
| 25.031725
| 17.510231
| 18.276682
| 22.390123
| 19.314695
| 18.972916
| 18.696491
| 19.299181
| 18.111374
| 19.232941
| 21.81492
| 18.525377
|
hep-th/0306102
|
Cotrone Aldo Lorenzo
|
F. Bigazzi, A. L. Cotrone
|
On zero-point energy, stability and Hagedorn behavior of Type IIB
strings on pp-waves
|
Latex, 13 pages. v2: regularization/renormalization prescription
clarified, refs. added
|
JHEP 0308:052,2003
|
10.1088/1126-6708/2003/08/052
|
IC/2003/37, CPHT-RR-027-0603
|
hep-th
| null |
Type IIB strings on many pp-wave backgrounds, supported either by 5-form or
3-form fluxes, have negative light-cone zero-point energy. This raises the
question of their stability and poses possible problems in the definition of
their thermodynamic properties. After having pointed out the correct way of
calculating the zero-point energy, an issue not fully discussed in literature,
we show that these Type IIB strings are classically stable and have well
defined thermal properties, exhibiting a Hagedorn behavior.
|
[
{
"created": "Wed, 11 Jun 2003 14:23:37 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2003 11:39:58 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
]
] |
Type IIB strings on many pp-wave backgrounds, supported either by 5-form or 3-form fluxes, have negative light-cone zero-point energy. This raises the question of their stability and poses possible problems in the definition of their thermodynamic properties. After having pointed out the correct way of calculating the zero-point energy, an issue not fully discussed in literature, we show that these Type IIB strings are classically stable and have well defined thermal properties, exhibiting a Hagedorn behavior.
| 13.448627
| 10.974794
| 13.730048
| 10.720411
| 10.002602
| 10.491085
| 12.121822
| 11.012006
| 10.485191
| 14.744146
| 10.445461
| 11.221225
| 12.063986
| 10.836487
| 10.515042
| 11.237396
| 11.587804
| 10.820395
| 10.422714
| 12.07461
| 11.005623
|
2402.12172
|
Matteo Beccaria
|
Matteo Beccaria, Alejandro Cabo-Bizet
|
Large $N$ Schur index of $\mathcal N=4$ SYM from semiclassical D3 brane
|
31 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the refined Schur superconformal index of 4d $\mathcal N=4$
$U(N)$ SYM and the first term of its giant-graviton expansion, first predicted
in arXiv:2001.11667 using indirect superconformal algebra considerations and
analytic continuation of fugacities. This correction is the leading
non-perturbative correction to the index at large $N$ and we reproduce it from
the semiclassical partition function of quantum D3 brane wrapped on
$S^{1}\times S^{3}$ in a twisted modification of the $AdS_{5}\times S^{5}$
string background, depending on the index R-symmetry fugacity. Our calculation
does not exploit directly supersymmetry. It is based on the determination of
the partition function of the various bosonic and fermionic fluctuations on the
wrapped brane whose action is conformal with specific constant holonomies along
thermal cycle. We show how those partition functions may be obtained by
adapting the operator counting method of Cardy to the twisted background.
|
[
{
"created": "Mon, 19 Feb 2024 14:26:41 GMT",
"version": "v1"
}
] |
2024-02-20
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Cabo-Bizet",
"Alejandro",
""
]
] |
We consider the refined Schur superconformal index of 4d $\mathcal N=4$ $U(N)$ SYM and the first term of its giant-graviton expansion, first predicted in arXiv:2001.11667 using indirect superconformal algebra considerations and analytic continuation of fugacities. This correction is the leading non-perturbative correction to the index at large $N$ and we reproduce it from the semiclassical partition function of quantum D3 brane wrapped on $S^{1}\times S^{3}$ in a twisted modification of the $AdS_{5}\times S^{5}$ string background, depending on the index R-symmetry fugacity. Our calculation does not exploit directly supersymmetry. It is based on the determination of the partition function of the various bosonic and fermionic fluctuations on the wrapped brane whose action is conformal with specific constant holonomies along thermal cycle. We show how those partition functions may be obtained by adapting the operator counting method of Cardy to the twisted background.
| 12.034668
| 11.941046
| 14.561408
| 11.122911
| 11.88257
| 12.180717
| 10.908695
| 11.690989
| 11.152857
| 14.987535
| 11.277388
| 11.42407
| 12.055478
| 11.648279
| 11.617062
| 11.501416
| 11.645101
| 11.322344
| 11.409516
| 11.71872
| 11.385683
|
hep-th/9401129
|
Geoffrey Harris
|
V.S. Dotsenko, G. Harris, E. Marinari, E. Martinec, M. Picco and P.
Windey
|
The Phenomenology of Strings and Clusters in the 3-d Ising Model
|
20 pages followed by 15 uuencoded ps figures, latex, SU-HEP-4241-563,
PAR-LPTHE 93/59
| null | null | null |
hep-th cond-mat hep-lat
| null |
We examine the geometrical and topological properties of surfaces surrounding
clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation
temperature and Fortuin--Kasteleyn clusters at $T_c$, the number of surfaces of
genus $g$ and area $A$ behaves as $A^{x(g)}e^{-\mu(g)A}$, with $x$
approximately linear in $g$ and $\mu$ constant. We observe that cross--sections
of spin domain boundaries at $T_c$ decompose into a distribution $N(l)$ of
loops of length $l$ that scales as $l^{-\tau}$ with $\tau \sim 2.2$. We address
the prospects for a string--theoretic description of cluster boundaries. (To
appear in proceedings for the Cargese Workshop on "String Theory, Conformal
Models and Topological Field Theories", May 1993)
|
[
{
"created": "Wed, 26 Jan 1994 15:47:55 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Dotsenko",
"V. S.",
""
],
[
"Harris",
"G.",
""
],
[
"Marinari",
"E.",
""
],
[
"Martinec",
"E.",
""
],
[
"Picco",
"M.",
""
],
[
"Windey",
"P.",
""
]
] |
We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn clusters at $T_c$, the number of surfaces of genus $g$ and area $A$ behaves as $A^{x(g)}e^{-\mu(g)A}$, with $x$ approximately linear in $g$ and $\mu$ constant. We observe that cross--sections of spin domain boundaries at $T_c$ decompose into a distribution $N(l)$ of loops of length $l$ that scales as $l^{-\tau}$ with $\tau \sim 2.2$. We address the prospects for a string--theoretic description of cluster boundaries. (To appear in proceedings for the Cargese Workshop on "String Theory, Conformal Models and Topological Field Theories", May 1993)
| 7.09242
| 5.152098
| 7.845186
| 5.881948
| 5.400871
| 5.140216
| 5.024366
| 5.131612
| 5.709783
| 9.163964
| 6.020168
| 6.573683
| 7.203122
| 6.610333
| 6.850172
| 6.775935
| 6.401333
| 6.538557
| 6.725211
| 7.650342
| 6.633814
|
hep-th/0206136
|
Tetsuya Shiromizu
|
Gary W. Gibbons, Daisuke Ida and Tetsuya Shiromizu
|
Uniqueness of (dilatonic) charged black holes and black p-branes in
higher dimensions
|
6 pages
|
Phys.Rev.D66:044010,2002
|
10.1103/PhysRevD.66.044010
|
DAMTP-2002-74, TIT/HEP-480
|
hep-th
| null |
We prove the uniqueness of higher dimensional (dilatonic) charged black holes
in static and asymptotically flat spacetimes for arbitrary vector-dilaton
coupling constant. An application to the uniqueness of a wide class of black
p-branes is also given.
|
[
{
"created": "Mon, 17 Jun 2002 08:28:10 GMT",
"version": "v1"
}
] |
2009-10-07
|
[
[
"Gibbons",
"Gary W.",
""
],
[
"Ida",
"Daisuke",
""
],
[
"Shiromizu",
"Tetsuya",
""
]
] |
We prove the uniqueness of higher dimensional (dilatonic) charged black holes in static and asymptotically flat spacetimes for arbitrary vector-dilaton coupling constant. An application to the uniqueness of a wide class of black p-branes is also given.
| 11.738108
| 8.577136
| 9.85664
| 8.253386
| 8.978789
| 8.226525
| 9.412291
| 8.40988
| 8.714252
| 9.496386
| 9.035202
| 9.18045
| 9.512799
| 9.235041
| 9.029889
| 8.859209
| 9.294952
| 8.6428
| 9.61167
| 9.13938
| 9.674299
|
hep-th/0701171
|
Satish D. Joglekar
|
Asrarul Haque and Satish D. Joglekar
|
Causality in Non-Commutative Quantum Field Theories
|
18 pages, LaTeX; A few changes in sections 3.2,3.3 and 4
|
J.Phys.A41:215402,2008
|
10.1088/1751-8113/41/21/215402
| null |
hep-th
| null |
We study causality in non-commutative quantum field theory with a space-space
non-commutativity. We employ the S-operator approach of Bogoliubov-Shirkov(BS).
We generalize the BS criterion of causality to the noncommutative theory. The
criterion to test causality leads to a nonzero difference between T*-product
and T-product as a condition of causality violation for a spacelike separation.
We discuss two examples; one in a scalar theory and one in the Yukawa theory.
In particular, in the context of a non-commutative Yukawa theory, with the
interaction Lagrangian $\bar{\psi}(x)\star\psi(x)\star\phi(x)$, is observed to
be causality violating even in case of space-space noncommutativity for which
\theta^{0i}=0.
\
|
[
{
"created": "Thu, 18 Jan 2007 17:04:39 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2007 17:47:55 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Mar 2007 11:02:35 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Haque",
"Asrarul",
""
],
[
"Joglekar",
"Satish D.",
""
]
] |
We study causality in non-commutative quantum field theory with a space-space non-commutativity. We employ the S-operator approach of Bogoliubov-Shirkov(BS). We generalize the BS criterion of causality to the noncommutative theory. The criterion to test causality leads to a nonzero difference between T*-product and T-product as a condition of causality violation for a spacelike separation. We discuss two examples; one in a scalar theory and one in the Yukawa theory. In particular, in the context of a non-commutative Yukawa theory, with the interaction Lagrangian $\bar{\psi}(x)\star\psi(x)\star\phi(x)$, is observed to be causality violating even in case of space-space noncommutativity for which \theta^{0i}=0. \
| 8.884155
| 9.027136
| 9.739681
| 8.49815
| 9.005753
| 9.070486
| 9.155281
| 8.481487
| 8.534874
| 9.847871
| 8.328306
| 8.835415
| 8.858825
| 8.509011
| 8.490756
| 8.868525
| 8.720055
| 8.266768
| 8.354501
| 8.683699
| 8.462293
|
0801.0720
|
Marco Aurelio Cattacin Kneipp
|
Marco A. C. Kneipp
|
Hitchin's equations and integrability of BPS Z(N) strings in Yang-Mills
theories
|
13 pages. Some comments and references added; change of a convention
(Eq. (9)); version to appear in JHEP
|
JHEP 0811:049,2008
|
10.1088/1126-6708/2008/11/049
| null |
hep-th hep-lat nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that Z(N) string's BPS equations are equivalent to the Hitchin's
equations (or self-duality equation) and also to the zero curvature condition.
We construct a general form for BPS Z(N) string solutions for arbitrary simple
gauge groups with non-trivial center. Depending on the vacuum solutions
considered, the Z(N) string's BPS equations reduce to different two dimensional
integrable field equations. For a particular vacuum we obtain the equation of
affine Toda field theory.
|
[
{
"created": "Fri, 4 Jan 2008 19:25:49 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Nov 2008 01:45:11 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Kneipp",
"Marco A. C.",
""
]
] |
We show that Z(N) string's BPS equations are equivalent to the Hitchin's equations (or self-duality equation) and also to the zero curvature condition. We construct a general form for BPS Z(N) string solutions for arbitrary simple gauge groups with non-trivial center. Depending on the vacuum solutions considered, the Z(N) string's BPS equations reduce to different two dimensional integrable field equations. For a particular vacuum we obtain the equation of affine Toda field theory.
| 11.571357
| 9.655468
| 11.218096
| 9.518105
| 10.192265
| 9.739827
| 8.977192
| 10.388719
| 9.544478
| 12.499408
| 10.321071
| 10.169167
| 10.776813
| 10.151493
| 10.554262
| 10.267904
| 10.223372
| 10.235302
| 10.268617
| 10.701713
| 10.277789
|
1508.02869
|
Karol I. Wysokinski
|
Marek Rogatko and Karol I. Wysokinski
|
P-wave holographic superconductor/insulator phase transitions affected
by dark matter sector
|
25 pages, 3 figures, JHEP style (included), version accepted for
publication in JHEP
|
J. High Energy Physics 03(2016)215
|
10.1007/JHEP03(2016)215
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The holographic approach to building the p-wave superconductors results in
three different models: the Maxwell-vector, the SU(2) Yang-Mills and the
helical. In the probe limit approximation, we analytically examine the
properties of the first two models in the theory with {\it dark matter} sector.
It turns out that the effect of {\it dark matter} on the Maxwell-vector p-wave
model is the same as on the s-wave superconductor studied earlier. For the
non-Abelian model we study the phase transitions between p-wave holographic
insulator/superconductor and metal/superconductor.
Studies of marginally stable modes in the theory under consideration allow us
to determine features of p-wave holographic droplet in a constant magnetic
field. The dependence of the superconducting transition temperature on the
coupling constant $\alpha$ to the {\it dark matter} sector is affected by the
{\it dark matter} density $\rho_D$. For $\rho_D>\rho$ the transition
temperature is a decreasing function of $\alpha$. The critical chemical
potential $\mu_c$ for the quantum phase transition between insulator and metal
depends on the chemical potential of dark matter $\mu_D$ and for $\mu_D=0$ is a
decreasing function of $\alpha$.
|
[
{
"created": "Wed, 12 Aug 2015 10:23:26 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2016 11:48:13 GMT",
"version": "v2"
}
] |
2016-04-22
|
[
[
"Rogatko",
"Marek",
""
],
[
"Wysokinski",
"Karol I.",
""
]
] |
The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the first two models in the theory with {\it dark matter} sector. It turns out that the effect of {\it dark matter} on the Maxwell-vector p-wave model is the same as on the s-wave superconductor studied earlier. For the non-Abelian model we study the phase transitions between p-wave holographic insulator/superconductor and metal/superconductor. Studies of marginally stable modes in the theory under consideration allow us to determine features of p-wave holographic droplet in a constant magnetic field. The dependence of the superconducting transition temperature on the coupling constant $\alpha$ to the {\it dark matter} sector is affected by the {\it dark matter} density $\rho_D$. For $\rho_D>\rho$ the transition temperature is a decreasing function of $\alpha$. The critical chemical potential $\mu_c$ for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter $\mu_D$ and for $\mu_D=0$ is a decreasing function of $\alpha$.
| 7.135168
| 6.9849
| 7.553504
| 6.559964
| 7.192171
| 7.273482
| 6.525638
| 6.499753
| 6.673105
| 7.648868
| 6.549928
| 6.514033
| 6.878223
| 6.66092
| 6.861606
| 6.675102
| 6.862084
| 6.825415
| 6.834045
| 6.792578
| 6.86802
|
hep-th/9506092
|
Jisuke Kubo
|
Jisuke Kubo, Myriam Mondragon and George Zoupanos (Kanazawa
University)
|
Gauge-Yukawa Unification and The Top Quark Mass
|
7 pages
| null | null |
KANAZAWA-95-05
|
hep-th
| null |
The principles of finiteness and reduction of couplings can be applied to
achieve Gauge-Yukawa Unification. It is found that the observed top-bottom
hierarchy and the top quark mass naturally follow if there exists Gauge-Yukawa
Unification which is a simple functional relation among the gauge coupling and
the Yukawa couplings of the third generation in various susy unified gauge
models. We briefly outline the basic idea of these principles and present the
main results of the Gauge-Yukawa Unified models that have recently been studied
in detail.
|
[
{
"created": "Wed, 14 Jun 1995 06:26:03 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kubo",
"Jisuke",
"",
"Kanazawa\n University"
],
[
"Mondragon",
"Myriam",
"",
"Kanazawa\n University"
],
[
"Zoupanos",
"George",
"",
"Kanazawa\n University"
]
] |
The principles of finiteness and reduction of couplings can be applied to achieve Gauge-Yukawa Unification. It is found that the observed top-bottom hierarchy and the top quark mass naturally follow if there exists Gauge-Yukawa Unification which is a simple functional relation among the gauge coupling and the Yukawa couplings of the third generation in various susy unified gauge models. We briefly outline the basic idea of these principles and present the main results of the Gauge-Yukawa Unified models that have recently been studied in detail.
| 12.184594
| 12.033398
| 10.180398
| 10.24696
| 11.743552
| 11.846396
| 11.305209
| 11.726843
| 9.648087
| 10.788926
| 10.970802
| 10.898731
| 10.595061
| 10.770772
| 11.187156
| 10.976862
| 10.765492
| 11.048321
| 10.397386
| 10.901639
| 11.349544
|
2105.12201
|
Nicol\'as Vald\'es-Meller
|
Nicol\'as Vald\'es-Meller
|
Nonlocality in Quantum Gravity and the Breakdown of Effective Field
Theory
|
Essay received an Honorable Mention in the 2021 Gravity Research
Foundation Essays Competition. Comments are welcome
| null |
10.1142/S0218271821420165
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We argue that quantum gravity is nonlocal, first by recalling well-known
arguments that support this idea and then by focusing on a point not usually
emphasized: that making a conventional effective field theory (EFT) for quantum
gravity is particularly difficult, and perhaps impossible in principle. This
inability to realize an EFT comes down to the fact that gravity itself sets
length scales for a problem: when integrating out degrees of freedom above some
cutoff, the effective metric one uses will be different, which will itself
re-define the cutoff. We also point out that even if the previous problem is
fixed, naively applying EFT in gravity can lead to problems - we give a
particular example in the case of black holes.
|
[
{
"created": "Tue, 25 May 2021 20:22:08 GMT",
"version": "v1"
}
] |
2022-01-26
|
[
[
"Valdés-Meller",
"Nicolás",
""
]
] |
We argue that quantum gravity is nonlocal, first by recalling well-known arguments that support this idea and then by focusing on a point not usually emphasized: that making a conventional effective field theory (EFT) for quantum gravity is particularly difficult, and perhaps impossible in principle. This inability to realize an EFT comes down to the fact that gravity itself sets length scales for a problem: when integrating out degrees of freedom above some cutoff, the effective metric one uses will be different, which will itself re-define the cutoff. We also point out that even if the previous problem is fixed, naively applying EFT in gravity can lead to problems - we give a particular example in the case of black holes.
| 13.710935
| 14.524963
| 14.547823
| 14.003528
| 14.378082
| 15.223649
| 15.434072
| 14.950836
| 13.823951
| 16.657919
| 13.122586
| 13.650517
| 13.854712
| 13.678873
| 13.939334
| 13.518656
| 13.679253
| 13.381996
| 13.826506
| 13.999003
| 13.981978
|
hep-th/0501244
|
Brandon Carter
|
R.A. Battye, B. Carter, E. Chachoua, A. Moss
|
Rigidity and stability of cold dark solid universe model
|
6 pages latex, revised version extended to include 4 figures
|
Phys.Rev. D72 (2005) 023503
|
10.1103/PhysRevD.72.023503
| null |
hep-th
| null |
Observational evidence suggests that the large scale dynamics of the universe
is presently dominated by dark energy, meaning a non-luminous cosmological
constituent with a negative value of the pressure to density ratio $w=P/\rho$,
which would be unstable if purely fluid, but could be stable if effectively
solid with sufficient rigidity. It was suggested by Bucher and Spergel that
such a solid constituent might be constituted by an effectively cold (meaning
approximately static) distribution of cosmic strings with $w=-1/3$, or
membranes with the observationally more favoured value $w=-2/3$, but it was not
established whether the rigidity in such models actually would be sufficient
for stabilisation. The present article provides an explicit evaluation of the
rigidity to density ratio, which is shown to be given in both string and
membrane cases by $\mu/\rho=4/15$, and it is confirmed that this is indeed
sufficient for stabilisation.
|
[
{
"created": "Sat, 29 Jan 2005 17:37:45 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jul 2005 18:14:25 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Battye",
"R. A.",
""
],
[
"Carter",
"B.",
""
],
[
"Chachoua",
"E.",
""
],
[
"Moss",
"A.",
""
]
] |
Observational evidence suggests that the large scale dynamics of the universe is presently dominated by dark energy, meaning a non-luminous cosmological constituent with a negative value of the pressure to density ratio $w=P/\rho$, which would be unstable if purely fluid, but could be stable if effectively solid with sufficient rigidity. It was suggested by Bucher and Spergel that such a solid constituent might be constituted by an effectively cold (meaning approximately static) distribution of cosmic strings with $w=-1/3$, or membranes with the observationally more favoured value $w=-2/3$, but it was not established whether the rigidity in such models actually would be sufficient for stabilisation. The present article provides an explicit evaluation of the rigidity to density ratio, which is shown to be given in both string and membrane cases by $\mu/\rho=4/15$, and it is confirmed that this is indeed sufficient for stabilisation.
| 9.641929
| 11.176635
| 10.529578
| 10.202425
| 9.847734
| 11.222545
| 11.028201
| 9.978799
| 10.275812
| 9.54935
| 10.764333
| 9.9333
| 10.131895
| 9.817183
| 9.33899
| 9.627354
| 9.724578
| 9.374261
| 9.965214
| 9.74713
| 9.813252
|
2005.05246
|
Fotis Farakos
|
Fotis Farakos, George Tringas, Thomas Van Riet
|
No-scale and scale-separated flux vacua from IIA on G2 orientifolds
|
42 pages, v2, corrected few typos
| null |
10.1140/epjc/s10052-020-8247-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss flux compactifications of IIA string theory on G2 holonomy spaces
with O2/O6-planes to three dimensions and find two classes of solutions: 1)
No-scale Minkowski vacua from NSNS 3-form fluxes and RR 4-form fluxes. 2) By
adding Romans mass we find AdS$_3$ vacua for which the AdS scale can be
decoupled completely from the KK scale while the solution is at tunable weak
coupling and large volume. For the AdS$_3$ vacuum we only have a proper 3D
description (i.e. smeared orientifold description) of the solution like the 4D
analogue of IIA moduli stabilization from fluxes and O6-planes. This 3D
description reveals that moduli with non-compact moduli spaces can be
stabilized at the classical level. For both types of vacua we can have
supersymmetry or not.
|
[
{
"created": "Mon, 11 May 2020 16:38:06 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jun 2020 10:02:16 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Farakos",
"Fotis",
""
],
[
"Tringas",
"George",
""
],
[
"Van Riet",
"Thomas",
""
]
] |
We discuss flux compactifications of IIA string theory on G2 holonomy spaces with O2/O6-planes to three dimensions and find two classes of solutions: 1) No-scale Minkowski vacua from NSNS 3-form fluxes and RR 4-form fluxes. 2) By adding Romans mass we find AdS$_3$ vacua for which the AdS scale can be decoupled completely from the KK scale while the solution is at tunable weak coupling and large volume. For the AdS$_3$ vacuum we only have a proper 3D description (i.e. smeared orientifold description) of the solution like the 4D analogue of IIA moduli stabilization from fluxes and O6-planes. This 3D description reveals that moduli with non-compact moduli spaces can be stabilized at the classical level. For both types of vacua we can have supersymmetry or not.
| 10.309771
| 10.276988
| 12.842313
| 9.739351
| 11.154894
| 11.002823
| 10.299169
| 9.259015
| 9.520619
| 12.850135
| 9.77811
| 9.925684
| 10.985631
| 9.711527
| 10.575063
| 9.740431
| 10.453576
| 9.878816
| 10.170859
| 10.81953
| 9.80184
|
1406.1909
|
Rodrigo Bufalo
|
R. Bufalo, B.M. Pimentel, and D.E. Soto
|
The Epstein-Glaser causal approach to the Light-Front QED$_{4}$. II:
Vacuum Polarization tensor
|
28 pages, V2 matching the published version
|
Annals of Physics 351, 1062 (2014)
|
10.1016/j.aop.2014.10.005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we show how to construct the one-loop vacuum polarization for
light-front QED$_{4}$ in the framework of the perturbative causal theory.
Usually, in the canonical approach, it is considered for the fermionic
propagator the so-called instantaneous term, but it is known in literature that
this term is controversial because it can be omitted by computational reasons;
for instance, by compensation or vanishing by dimensional regularization. In
this work we propose a solution to this paradox. First, in the perturbative
causal theory, it is shown that the fermionic propagator does not have
instantaneous terms, and with this propagator we calculate the one-loop vacuum
polarization, from the calculation it follows the same result as obtained by
the standard approach, but without reclaiming any extra assumptions. Moreover,
since the perturbative causal theory is defined in the distributional
framework, we can also show the reason behind we obtaining the same result
whether we consider or not the instantaneous fermionic propagator term.
|
[
{
"created": "Sat, 7 Jun 2014 17:30:57 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2014 15:28:39 GMT",
"version": "v2"
}
] |
2014-11-27
|
[
[
"Bufalo",
"R.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Soto",
"D. E.",
""
]
] |
In this work we show how to construct the one-loop vacuum polarization for light-front QED$_{4}$ in the framework of the perturbative causal theory. Usually, in the canonical approach, it is considered for the fermionic propagator the so-called instantaneous term, but it is known in literature that this term is controversial because it can be omitted by computational reasons; for instance, by compensation or vanishing by dimensional regularization. In this work we propose a solution to this paradox. First, in the perturbative causal theory, it is shown that the fermionic propagator does not have instantaneous terms, and with this propagator we calculate the one-loop vacuum polarization, from the calculation it follows the same result as obtained by the standard approach, but without reclaiming any extra assumptions. Moreover, since the perturbative causal theory is defined in the distributional framework, we can also show the reason behind we obtaining the same result whether we consider or not the instantaneous fermionic propagator term.
| 11.042053
| 10.659831
| 10.590683
| 10.637463
| 11.356934
| 11.998816
| 11.441479
| 10.348441
| 10.255877
| 11.547813
| 11.18234
| 10.451999
| 10.370809
| 10.225058
| 10.550838
| 10.634669
| 10.304866
| 10.516994
| 10.496973
| 10.602481
| 10.566304
|
hep-th/0112262
|
Ming-Hsien Tu
|
Ming-Hsien Tu, Niann-Chern Lee and Yu-Tung Chen
|
Conformal Covariantization of Moyal-Lax Operators
|
13 pages, Revtex, no figures, v.2: typos corrected, references added
and conclusion modified
|
J.Phys.A35:4375,2002
|
10.1088/0305-4470/35/19/317
| null |
hep-th
| null |
A covariant approach to the conformal property associated with Moyal-Lax
operators is given. By identifying the conformal covariance with the second
Gelfand-Dickey flow, we covariantize Moyal-Lax operators to construct the
primary fields of one-parameter deformation of classical $W$-algebras.
|
[
{
"created": "Mon, 31 Dec 2001 15:33:40 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jan 2002 09:00:05 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Tu",
"Ming-Hsien",
""
],
[
"Lee",
"Niann-Chern",
""
],
[
"Chen",
"Yu-Tung",
""
]
] |
A covariant approach to the conformal property associated with Moyal-Lax operators is given. By identifying the conformal covariance with the second Gelfand-Dickey flow, we covariantize Moyal-Lax operators to construct the primary fields of one-parameter deformation of classical $W$-algebras.
| 17.04216
| 11.647502
| 22.994118
| 12.798969
| 14.670071
| 13.151421
| 13.0812
| 12.705215
| 12.191543
| 20.17469
| 12.138665
| 13.447956
| 16.808563
| 13.487792
| 13.162123
| 13.699427
| 13.850175
| 13.787326
| 13.765746
| 15.832986
| 13.142471
|
hep-th/9712159
|
Washington Taylor
|
Washington Taylor and Mark Van Raamsdonk (Princeton)
|
Angular momentum and long-range gravitational interactions in Matrix
theory
|
18 pages LaTeX; v2: sign error fixed, references added, minor textual
clarification
|
Nucl.Phys.B532:227-244,1998
|
10.1016/S0550-3213(98)00469-6
|
PUPT-1750
|
hep-th
| null |
We consider subleading terms in the one-loop Matrix theory potential between
a classical membrane state and a supergraviton. Nontrivial terms arise at order
v/r^8 and v^3/r^8 which are proportional to the angular momentum of the
membrane state. The effective potential for a graviton moving in a boosted
Kerr-type metric is computed and shown to agree precisely with the Matrix
theory calculation at leading order in the long-distance expansion for each
power of the graviton velocity. This result generalizes to arbitrary order; we
show that terms in the membrane-graviton potential corresponding to nth moments
of the membrane stress-energy tensor are reproduced correctly to all orders in
the long-distance expansion by terms of the form F^4 X^n in the one-loop Matrix
theory calculation.
|
[
{
"created": "Tue, 16 Dec 1997 18:01:00 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 1998 15:57:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Taylor",
"Washington",
"",
"Princeton"
],
[
"Van Raamsdonk",
"Mark",
"",
"Princeton"
]
] |
We consider subleading terms in the one-loop Matrix theory potential between a classical membrane state and a supergraviton. Nontrivial terms arise at order v/r^8 and v^3/r^8 which are proportional to the angular momentum of the membrane state. The effective potential for a graviton moving in a boosted Kerr-type metric is computed and shown to agree precisely with the Matrix theory calculation at leading order in the long-distance expansion for each power of the graviton velocity. This result generalizes to arbitrary order; we show that terms in the membrane-graviton potential corresponding to nth moments of the membrane stress-energy tensor are reproduced correctly to all orders in the long-distance expansion by terms of the form F^4 X^n in the one-loop Matrix theory calculation.
| 11.618283
| 11.076566
| 13.135351
| 10.315005
| 11.639435
| 11.342538
| 11.100805
| 11.199326
| 10.68091
| 13.634097
| 10.770471
| 11.339466
| 11.892271
| 11.332471
| 11.45775
| 10.979032
| 11.498477
| 11.203948
| 10.724113
| 11.078541
| 10.968208
|
hep-th/0702092
|
Aaron Bergman
|
Aaron Bergman
|
Stability Conditions and Branes at Singularities
|
22 pages, uses utarticle.cls, dcpic.sty, v2: published version
|
JHEP 0810:073,2008
|
10.1088/1126-6708/2008/10/073
|
MIFP-07-05
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I use Bridgeland's definition of a stability condition on a triangulated
category to investigate the stability of D-branes on Calabi-Yau cones given by
the canonical line bundle over a del Pezzo surface. In this context, I prove
the existence of the decay of a D3-brane into a set of fractional branes. This
is an important aspect of the derivation of quiver gauge theories from branes
at singularities via the technique of equivalences of categories. Some
important technical aspects of this equivalence are discussed. I also prove
that the representations corresponding to skyscraper sheaves supported off the
zero section are simple.
|
[
{
"created": "Mon, 12 Feb 2007 20:44:33 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Feb 2009 00:39:20 GMT",
"version": "v2"
}
] |
2009-02-24
|
[
[
"Bergman",
"Aaron",
""
]
] |
I use Bridgeland's definition of a stability condition on a triangulated category to investigate the stability of D-branes on Calabi-Yau cones given by the canonical line bundle over a del Pezzo surface. In this context, I prove the existence of the decay of a D3-brane into a set of fractional branes. This is an important aspect of the derivation of quiver gauge theories from branes at singularities via the technique of equivalences of categories. Some important technical aspects of this equivalence are discussed. I also prove that the representations corresponding to skyscraper sheaves supported off the zero section are simple.
| 10.339324
| 8.553117
| 10.82653
| 8.373013
| 8.904148
| 9.095551
| 9.198454
| 8.85776
| 8.284961
| 10.575067
| 8.859866
| 8.718378
| 9.978786
| 8.989484
| 8.878686
| 9.245975
| 8.806683
| 8.804666
| 8.968314
| 9.349256
| 8.666538
|
hep-th/9910104
|
Ying Jiang
|
Ying Jiang, Yishi Duan
|
The branch process of the cosmic strings
|
8 pages, 10 figures
|
J.Math.Phys. 41 (2000) 2616
|
10.1063/1.533262
| null |
hep-th
| null |
In the light of $\phi$-mapping method and the topological tensor current
theory, the topological structure and the topological quantization of
topological defects are obtained under the condition that Jacobian
$J(\phi/v)\neq0$. When $J(\phi/v)=0$, it is shown that there exists the crucial
case of branch process. Based on the implicit function theorem and the Taylor
expansion, the generation, annihilation and bifurcation of the linear defects
are detailed in the neighborhoods of the limit points and bifurcation points of
$\phi$-mapping, respectively.
|
[
{
"created": "Thu, 14 Oct 1999 03:48:35 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Jiang",
"Ying",
""
],
[
"Duan",
"Yishi",
""
]
] |
In the light of $\phi$-mapping method and the topological tensor current theory, the topological structure and the topological quantization of topological defects are obtained under the condition that Jacobian $J(\phi/v)\neq0$. When $J(\phi/v)=0$, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the generation, annihilation and bifurcation of the linear defects are detailed in the neighborhoods of the limit points and bifurcation points of $\phi$-mapping, respectively.
| 13.983131
| 6.485446
| 13.157353
| 7.865287
| 8.548513
| 6.562943
| 6.81586
| 6.628464
| 8.625752
| 13.989824
| 8.756086
| 10.467875
| 12.038897
| 11.030318
| 10.760171
| 10.130994
| 10.37393
| 10.218197
| 11.26712
| 12.102032
| 11.449244
|
2005.06877
|
Andrei Parnachev
|
Andrei Parnachev
|
Near Lightcone Thermal Conformal Correlators and Holography
|
6 pages, 1 figure; v2: minor changes, references added
| null |
10.1088/1751-8121/abec16
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Heavy-heavy-light-light (HHLL) correlators of pairwise identical scalars in
CFTs with a large central charge in any number of dimensions admit a double
scaling limit where the ratio of the heavy conformal dimension to the central
charge becomes large as the separation between the light operators becomes
null. In this limit the stress tensor sector of a generic HHLL correlator
receives contributions from the multi stress tensor operators with any number
of stress tensors, as long as their twist is not increased by index
contractions. We show how one can compute this leading twist stress tensor
sector when the conformal dimension of the light operators is large and the
stress tensor sector approximates the thermal CFT correlator. In this regime
the value of the correlator is related to the length of the spacelike geodesic
which approaches the boundary of the dual asymptotically AdS spacetime at the
points of light operator insertions. We provide a detailed description of the
infinite volume limit. In two spacetime dimensions the HHLL Virasoro vacuum
block is reproduced, while in four spacetime dimensions the result is written
in terms of elliptic integrals.
|
[
{
"created": "Thu, 14 May 2020 11:31:53 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2020 14:04:53 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Parnachev",
"Andrei",
""
]
] |
Heavy-heavy-light-light (HHLL) correlators of pairwise identical scalars in CFTs with a large central charge in any number of dimensions admit a double scaling limit where the ratio of the heavy conformal dimension to the central charge becomes large as the separation between the light operators becomes null. In this limit the stress tensor sector of a generic HHLL correlator receives contributions from the multi stress tensor operators with any number of stress tensors, as long as their twist is not increased by index contractions. We show how one can compute this leading twist stress tensor sector when the conformal dimension of the light operators is large and the stress tensor sector approximates the thermal CFT correlator. In this regime the value of the correlator is related to the length of the spacelike geodesic which approaches the boundary of the dual asymptotically AdS spacetime at the points of light operator insertions. We provide a detailed description of the infinite volume limit. In two spacetime dimensions the HHLL Virasoro vacuum block is reproduced, while in four spacetime dimensions the result is written in terms of elliptic integrals.
| 9.782728
| 8.737937
| 11.825763
| 8.481469
| 9.25052
| 9.357525
| 8.976605
| 8.642028
| 8.877328
| 11.806217
| 8.465186
| 8.752239
| 10.580635
| 9.275911
| 9.155306
| 8.639224
| 9.297633
| 8.682142
| 9.515847
| 10.409026
| 8.780635
|
hep-th/0307214
|
Anatoly Shabad
|
A.E.Shabad
|
Interaction of Electromagnetic Radiation with Supercritical Magnetic
Field
|
21 pages, 1 figure; Latex needs ws-p8-50x6-00.cls. Extended version
of the talk, given in the Workshop on Strong Magnetic Fields and Neutron
Stars Havana, April 6-13, 2003 Abstract reworded to better reflect the
contents, a miswriting corrected in Eq.(48) of Appendix, a statement
concerning Cherenkov effect made more precise, other minor amendments
| null | null | null |
hep-th astro-ph
| null |
It is pointed, that effects of refraction of electromagnetic radiation in the
medium, formed by the magnetized vacuum, become essential already for
relatively soft photons, not hard enough to create an electron-positron pair,
including those belonging to soft gamma-, X-ray, optic and radio- range, if the
magnetic field B exceeds the critical value of Bcr=m^2/e=4.4 10^13 Gauss. Three
leading terms in the asymptotic expansion of the one-loop polarization operator
in a constant magnetic field are found for B>>Bcr, and the corresponding
refraction index is shown to depend only on the propagation direction of the
photon relative to the external field. It is established, that the refraction
index for one of polarization modes unlimitedly grows with the field, while the
other is saturated at a moderate level. The photon capture effect is extended
to soft photons. The results may be essential in studying reflection,
refraction and splitting of X-rays, light and radio waves by magnetic fields of
magnetars, as well as in considering emission of such waves by charged
particles .
|
[
{
"created": "Tue, 22 Jul 2003 14:19:01 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jan 2004 15:16:05 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Shabad",
"A. E.",
""
]
] |
It is pointed, that effects of refraction of electromagnetic radiation in the medium, formed by the magnetized vacuum, become essential already for relatively soft photons, not hard enough to create an electron-positron pair, including those belonging to soft gamma-, X-ray, optic and radio- range, if the magnetic field B exceeds the critical value of Bcr=m^2/e=4.4 10^13 Gauss. Three leading terms in the asymptotic expansion of the one-loop polarization operator in a constant magnetic field are found for B>>Bcr, and the corresponding refraction index is shown to depend only on the propagation direction of the photon relative to the external field. It is established, that the refraction index for one of polarization modes unlimitedly grows with the field, while the other is saturated at a moderate level. The photon capture effect is extended to soft photons. The results may be essential in studying reflection, refraction and splitting of X-rays, light and radio waves by magnetic fields of magnetars, as well as in considering emission of such waves by charged particles .
| 13.017955
| 13.559344
| 11.33936
| 11.398744
| 12.780691
| 12.855942
| 12.751791
| 11.528908
| 11.03655
| 11.335492
| 12.150856
| 11.639565
| 11.274992
| 10.977399
| 11.272009
| 11.212881
| 11.326159
| 11.335463
| 10.884885
| 10.906792
| 11.190223
|
2402.10262
|
Elliott Gesteau
|
Elliott Gesteau and Leonardo Santilli
|
Explicit large $N$ von Neumann algebras from matrix models
|
83 pages + appendices, 23 figures
| null | null | null |
hep-th math-ph math.MP math.OA quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a large family of quantum mechanical systems that give rise to
an emergent type III$_1$ von Neumann algebra in the large $N$ limit. Their
partition functions are matrix integrals that appear in the study of various
gauge theories. We calculate the real-time, finite temperature correlation
functions in these systems and show that they are described by an emergent type
III$_1$ von Neumann algebra at large $N$. The spectral density underlying this
algebra is computed in closed form in terms of the eigenvalue density of a
discrete matrix model. Furthermore, we explain how to systematically promote
these theories to systems with a Hagedorn transition, and show that a type
III$_1$ algebra only emerges above the Hagedorn temperature. Finally, we
empirically observe in examples a correspondence between the space of states of
the quantum mechanics and Calabi--Yau manifolds.
|
[
{
"created": "Thu, 15 Feb 2024 19:00:00 GMT",
"version": "v1"
}
] |
2024-02-19
|
[
[
"Gesteau",
"Elliott",
""
],
[
"Santilli",
"Leonardo",
""
]
] |
We construct a large family of quantum mechanical systems that give rise to an emergent type III$_1$ von Neumann algebra in the large $N$ limit. Their partition functions are matrix integrals that appear in the study of various gauge theories. We calculate the real-time, finite temperature correlation functions in these systems and show that they are described by an emergent type III$_1$ von Neumann algebra at large $N$. The spectral density underlying this algebra is computed in closed form in terms of the eigenvalue density of a discrete matrix model. Furthermore, we explain how to systematically promote these theories to systems with a Hagedorn transition, and show that a type III$_1$ algebra only emerges above the Hagedorn temperature. Finally, we empirically observe in examples a correspondence between the space of states of the quantum mechanics and Calabi--Yau manifolds.
| 7.299584
| 6.960763
| 8.11836
| 6.923635
| 6.718368
| 6.555307
| 6.841539
| 6.7277
| 6.709451
| 8.665453
| 6.597424
| 6.74815
| 7.55846
| 6.811382
| 6.994825
| 6.881893
| 6.773468
| 6.658891
| 6.74614
| 7.668918
| 6.731246
|
2401.05814
|
Ashis Saha
|
Ashis Saha and Sunandan Gangopadhyay
|
Quantum chaos in the presence of non-conformality
|
v1: 28 pages, 12 figures; v2: Some text along with some new equations
have added, v3: matches with the version to appear in Phys. Rev. D
|
Physical Review D 110, 026025 (2024)
|
10.1103/PhysRevD.110.026025
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The behaviour of a chaotic system and its effect on existing quantum
correlation has been holographically studied in presence of non-conformality.
Keeping in mind the gauge/gravity duality framework, the non-conformality in
the dual field theory has been introduced by considering a Liouville type
dilaton potential for the gravitational theory. The resulting black brane
solution is associated with a parameter $\eta$ which represents the deviation
from conformality. The parameters of chaos, namely, the Lyapunov exponent and
butterfly velocity are computed by following the well-known shock wave
analysis. The obtained results reveal that presence of non-conformality leads
to suppression of the chaotic nature of a system. Further, for a particular
value of the non-conformal parameter $\eta$, the system achieves Lyapunov
stability resulting from the vanishing of both the Lyapunov exponent and as
well as butterfly velocity. Interestingly, this particular value of $\eta$
matches with the previously given upper bound of $\eta$ known as Gubser bound
in the literature. The effects of chaos and non-conformality on the existing
correlation of a thermofield doublet state have been quantified by
holographically computing the thermo mutual information in both the presence
and absence of the shock wave. Furthermore, the entanglement velocity is also
computed and the effect of non-conformality on it has been observed. Finally,
the obtained results for the Lyapunov exponent and the butterfly velocity have
also been computed from the pole-skipping analysis. The results from the two
approaches agree with each other.
|
[
{
"created": "Thu, 11 Jan 2024 10:29:23 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2024 12:11:11 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jul 2024 04:35:49 GMT",
"version": "v3"
}
] |
2024-07-29
|
[
[
"Saha",
"Ashis",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
The behaviour of a chaotic system and its effect on existing quantum correlation has been holographically studied in presence of non-conformality. Keeping in mind the gauge/gravity duality framework, the non-conformality in the dual field theory has been introduced by considering a Liouville type dilaton potential for the gravitational theory. The resulting black brane solution is associated with a parameter $\eta$ which represents the deviation from conformality. The parameters of chaos, namely, the Lyapunov exponent and butterfly velocity are computed by following the well-known shock wave analysis. The obtained results reveal that presence of non-conformality leads to suppression of the chaotic nature of a system. Further, for a particular value of the non-conformal parameter $\eta$, the system achieves Lyapunov stability resulting from the vanishing of both the Lyapunov exponent and as well as butterfly velocity. Interestingly, this particular value of $\eta$ matches with the previously given upper bound of $\eta$ known as Gubser bound in the literature. The effects of chaos and non-conformality on the existing correlation of a thermofield doublet state have been quantified by holographically computing the thermo mutual information in both the presence and absence of the shock wave. Furthermore, the entanglement velocity is also computed and the effect of non-conformality on it has been observed. Finally, the obtained results for the Lyapunov exponent and the butterfly velocity have also been computed from the pole-skipping analysis. The results from the two approaches agree with each other.
| 7.029478
| 6.538416
| 7.821648
| 6.380373
| 6.775796
| 6.620541
| 6.511952
| 6.560281
| 6.431817
| 8.344543
| 6.665538
| 6.683965
| 6.887617
| 6.482591
| 6.627482
| 6.680411
| 6.5561
| 6.444266
| 6.608751
| 7.008697
| 6.621286
|
1301.3123
|
Mikhail A. Vasiliev
|
O.A.Gelfond and M.A.Vasiliev
|
Operator algebra of free conformal currents via twistors
|
51 pages, V2: typos and coefficients corrected; acknowledgement,
clarifications and a new section on the derivation of butterfly formulae for
current OPE from multiparticle algebra are added. Derivation of space-time
current operator algebra is simplified. V3: Discussion of independent
three-point functions for 4d conserved currents of different spins is added
in Section 9.2
| null |
10.1016/j.nuclphysb.2013.09.001
|
FIAN/TD/03-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Operator algebra of (not necessarily free) higher-spin conformal conserved
currents in generalized matrix spaces, that include 3d Minkowski space-time as
a particular case, is shown to be determined by an associative algebra $M$ of
functions on the twistor space. For free conserved currents, $M$ is the
universal enveloping algebra of the higher-spin algebra. Proposed construction
greatly simplifies computation and analysis of correlators of conserved
currents. Generating function for $n$-point functions of 3d (super)currents of
all spins, built from $N$ free constituent massless scalars and spinors, is
obtained in a concise form of certain determinant. Our results agree with and
extend earlier bulk computations in the HS $AdS_4/CFT_3$ framework. Generating
function for $n$-point functions of 4d conformal currents is also presented.
|
[
{
"created": "Mon, 14 Jan 2013 20:47:09 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2013 19:49:39 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Sep 2013 22:07:14 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Gelfond",
"O. A.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
Operator algebra of (not necessarily free) higher-spin conformal conserved currents in generalized matrix spaces, that include 3d Minkowski space-time as a particular case, is shown to be determined by an associative algebra $M$ of functions on the twistor space. For free conserved currents, $M$ is the universal enveloping algebra of the higher-spin algebra. Proposed construction greatly simplifies computation and analysis of correlators of conserved currents. Generating function for $n$-point functions of 3d (super)currents of all spins, built from $N$ free constituent massless scalars and spinors, is obtained in a concise form of certain determinant. Our results agree with and extend earlier bulk computations in the HS $AdS_4/CFT_3$ framework. Generating function for $n$-point functions of 4d conformal currents is also presented.
| 10.776057
| 9.526935
| 10.67422
| 8.953679
| 9.992957
| 9.535876
| 9.491804
| 9.710399
| 9.057648
| 12.504949
| 8.905197
| 9.569885
| 10.075257
| 9.385041
| 9.199277
| 9.319007
| 9.380366
| 9.407034
| 9.361116
| 9.780459
| 9.148609
|
hep-th/9602087
|
:
|
M. Gasperini, J. Maharana and G. Veneziano
|
Graceful exit in quantum string cosmology
|
16 pages, LATEX. A complete collection of papers and references on
the pre-big-bang scenario in string cosmology is available at
http://www.to.infn.it/teorici/gasperini/
|
Nucl.Phys. B472 (1996) 349-360
|
10.1016/0550-3213(96)00201-5
|
CERN-TH/96-32
|
hep-th astro-ph gr-qc
| null |
We write an O(d,d)-covariant Wheeler-De Witt equation in the
($d^2+1$)-dimensional minisuperspace of low-energy cosmological string
backgrounds. We discuss explicit examples of transitions between two
duality-related cosmological phases, and we find a finite quantum transition
probability even when the two phases are classically separated by a curvature
singularity. This quantum approach is completely free from operator ordering
ambiguities as a consequence of the duality symmetries of the string effective
action.
|
[
{
"created": "Fri, 16 Feb 1996 12:06:35 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Gasperini",
"M.",
""
],
[
"Maharana",
"J.",
""
],
[
"Veneziano",
"G.",
""
]
] |
We write an O(d,d)-covariant Wheeler-De Witt equation in the ($d^2+1$)-dimensional minisuperspace of low-energy cosmological string backgrounds. We discuss explicit examples of transitions between two duality-related cosmological phases, and we find a finite quantum transition probability even when the two phases are classically separated by a curvature singularity. This quantum approach is completely free from operator ordering ambiguities as a consequence of the duality symmetries of the string effective action.
| 10.510633
| 10.316492
| 10.640641
| 9.156815
| 8.500077
| 9.232776
| 9.979751
| 8.971187
| 9.815911
| 11.049243
| 8.442595
| 8.823872
| 9.916889
| 9.415853
| 9.244014
| 9.292082
| 8.846601
| 9.604911
| 9.296669
| 9.902043
| 8.913853
|
hep-th/0208019
|
Lev Kofman
|
Gary Felder, Lev Kofman (CITA), Alexei Starobinsky (Landau ITP)
|
Caustics in Tachyon Matter and Other Born-Infeld Scalars
|
21 pages, 5 figures
|
JHEP 0209 (2002) 026
|
10.1088/1126-6708/2002/09/026
|
CITA-02-22
|
hep-th astro-ph gr-qc hep-ph
| null |
We consider scalar Born-Infeld type theories with arbitrary potentials V(T)
of a scalar field T. We find that for models with runaway potentials V(T) the
generic inhomogeneous solutions after a short transient stage can be very well
approximated by the solutions of a Hamilton-Jacobi equation that describes free
streaming wave front propagation. The analytic solution for this wave
propagation shows the formation of caustics with multi-valued regions beyond
them. We verified that these caustics appear in numerical solutions of the
original scalar BI non-linear equations. Our results include the scalar BI
model with an exponential potential, which was recently proposed as an
effective action for the string theory tachyon in the approximation where
high-order spacetime derivatives of T are truncated. Since the actual string
tachyon dynamics contain derivatives of all orders, the tachyon BI model with
an exponential potential becomes inadequate when the caustics develop because
high order spatial derivatives of T become divergent. BI type tachyon theory
with a potential decreasing at large T could have interesting cosmological
applications because the tachyon field rolling towards its ground state at
infinity acts as pressureless dark matter. We find that inhomogeneous
cosmological tachyon fluctuations rapidly grow and develop multiple caustics.
Any considerations of the role of the tachyon field in cosmology will have to
involve finding a way to predict the behavior of the field at and beyond these
caustics.
|
[
{
"created": "Mon, 5 Aug 2002 18:30:32 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2002 00:28:36 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Felder",
"Gary",
"",
"CITA"
],
[
"Kofman",
"Lev",
"",
"CITA"
],
[
"Starobinsky",
"Alexei",
"",
"Landau ITP"
]
] |
We consider scalar Born-Infeld type theories with arbitrary potentials V(T) of a scalar field T. We find that for models with runaway potentials V(T) the generic inhomogeneous solutions after a short transient stage can be very well approximated by the solutions of a Hamilton-Jacobi equation that describes free streaming wave front propagation. The analytic solution for this wave propagation shows the formation of caustics with multi-valued regions beyond them. We verified that these caustics appear in numerical solutions of the original scalar BI non-linear equations. Our results include the scalar BI model with an exponential potential, which was recently proposed as an effective action for the string theory tachyon in the approximation where high-order spacetime derivatives of T are truncated. Since the actual string tachyon dynamics contain derivatives of all orders, the tachyon BI model with an exponential potential becomes inadequate when the caustics develop because high order spatial derivatives of T become divergent. BI type tachyon theory with a potential decreasing at large T could have interesting cosmological applications because the tachyon field rolling towards its ground state at infinity acts as pressureless dark matter. We find that inhomogeneous cosmological tachyon fluctuations rapidly grow and develop multiple caustics. Any considerations of the role of the tachyon field in cosmology will have to involve finding a way to predict the behavior of the field at and beyond these caustics.
| 10.497603
| 11.85054
| 11.162764
| 10.646027
| 10.565523
| 11.135115
| 11.285855
| 10.795856
| 11.167933
| 11.494233
| 10.754285
| 10.583838
| 10.335374
| 10.552378
| 10.24878
| 10.361778
| 10.429311
| 10.464293
| 11.028414
| 10.729291
| 10.721093
|
hep-th/9805181
|
Karim Benakli
|
Karim Benakli (Texas A&M)
|
Scales and Cosmological Applications of M Theory
|
19 pages, latex, uses sprocl.sty
|
Phys.Lett.B447:51-58,1999
|
10.1016/S0370-2693(98)01558-5
| null |
hep-th hep-ph
| null |
I review recent results in three topics of the M-world: (i) Scales. (ii) New
dark matter candidates. (iii) Cosmological solutions from p-branes. The three
topics are discussed in the framework of Ho\v{r}ava-Witten compactifications.
Part (iii) includes comments on cosmological solutions in M-theory describing
nucleation of universes through instanton effects and expansions toward
asymptotically flat or anti-de-Sitter spaces.
|
[
{
"created": "Tue, 26 May 1998 23:33:23 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Benakli",
"Karim",
"",
"Texas A&M"
]
] |
I review recent results in three topics of the M-world: (i) Scales. (ii) New dark matter candidates. (iii) Cosmological solutions from p-branes. The three topics are discussed in the framework of Ho\v{r}ava-Witten compactifications. Part (iii) includes comments on cosmological solutions in M-theory describing nucleation of universes through instanton effects and expansions toward asymptotically flat or anti-de-Sitter spaces.
| 14.54382
| 11.951983
| 14.302939
| 13.267076
| 13.102147
| 12.485761
| 12.865674
| 12.472223
| 12.376624
| 14.679132
| 11.798316
| 12.153078
| 13.903503
| 12.181425
| 11.872183
| 11.816868
| 11.671544
| 12.554392
| 12.137074
| 13.090809
| 11.507738
|
hep-th/9311012
|
Arkady Tseytlin
|
C. Klimcik and A.A.Tseytlin
|
Duality invariant class of exact string backgrounds
|
11 pages, harvmac, CERN-TH.7069/93
|
Phys.Lett.B323:305-310,1994
|
10.1016/0370-2693(94)91224-6
| null |
hep-th
| null |
We consider a class of $2+D$ - dimensional string backgrounds with a target
space metric having a covariantly constant null Killing vector and flat
`transverse' part. The corresponding sigma models are invariant under $D$
abelian isometries and are transformed by $O(D,D)$ duality into models
belonging to the same class. The leading-order solutions of the conformal
invariance equations (metric, antisymmetric tensor and dilaton), as well as the
action of $O(D,D)$ duality transformations on them, are exact, i.e. are not
modified by $\a'$-corrections. This makes a discussion of different space-time
representations of the same string solution (related by $O(D,D|Z)$ duality
subgroup) rather explicit. We show that the $O(D,D)$ duality may connect curved
$2+D$-dimensional backgrounds with solutions having flat metric but, in
general, non-trivial antisymmetric tensor and dilaton. We discuss several
particular examples including the $2+D=4$ - dimensional background that was
recently interpreted in terms of a WZW model.
|
[
{
"created": "Tue, 2 Nov 1993 03:15:25 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Klimcik",
"C.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries and are transformed by $O(D,D)$ duality into models belonging to the same class. The leading-order solutions of the conformal invariance equations (metric, antisymmetric tensor and dilaton), as well as the action of $O(D,D)$ duality transformations on them, are exact, i.e. are not modified by $\a'$-corrections. This makes a discussion of different space-time representations of the same string solution (related by $O(D,D|Z)$ duality subgroup) rather explicit. We show that the $O(D,D)$ duality may connect curved $2+D$-dimensional backgrounds with solutions having flat metric but, in general, non-trivial antisymmetric tensor and dilaton. We discuss several particular examples including the $2+D=4$ - dimensional background that was recently interpreted in terms of a WZW model.
| 7.730202
| 7.335571
| 8.808905
| 6.996696
| 7.378901
| 7.490395
| 7.499632
| 7.240588
| 6.930811
| 8.9757
| 6.733208
| 7.353691
| 7.553826
| 7.144504
| 7.202191
| 7.185705
| 7.459584
| 7.158343
| 7.410598
| 7.919695
| 7.124514
|
1509.00543
|
Andrew Strominger
|
Andrew Strominger
|
Magnetic Corrections to the Soft Photon Theorem
|
12 pages
|
Phys. Rev. Lett. 116, 031602 (2016)
|
10.1103/PhysRevLett.116.031602
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The soft photon theorem, in its standard form, requires corrections when the
asymptotic particle states carry magnetic charges. These corrections are
deduced using electromagnetic duality and the resulting soft formula
conjectured to be exact for all abelian gauge theories. Recent work has shown
that the standard soft theorem implies an infinity of conserved electric
charges. The associated symmetries are identified as `large' electric gauge
transformations. Here the magnetic corrections to the soft theorem are shown to
imply a second infinity of conserved magnetic charges. The associated
symmetries are identified as `large' magnetic gauge transformations. The large
magnetic symmetries are naturally subsumed in a complexification of the
electric ones.
|
[
{
"created": "Wed, 2 Sep 2015 02:03:16 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Strominger",
"Andrew",
""
]
] |
The soft photon theorem, in its standard form, requires corrections when the asymptotic particle states carry magnetic charges. These corrections are deduced using electromagnetic duality and the resulting soft formula conjectured to be exact for all abelian gauge theories. Recent work has shown that the standard soft theorem implies an infinity of conserved electric charges. The associated symmetries are identified as `large' electric gauge transformations. Here the magnetic corrections to the soft theorem are shown to imply a second infinity of conserved magnetic charges. The associated symmetries are identified as `large' magnetic gauge transformations. The large magnetic symmetries are naturally subsumed in a complexification of the electric ones.
| 7.95257
| 7.406646
| 7.792189
| 7.053835
| 7.598894
| 7.327214
| 6.865202
| 7.017741
| 7.090033
| 8.23112
| 7.441275
| 7.321136
| 7.528095
| 7.1854
| 7.223462
| 7.031521
| 7.339237
| 7.013805
| 7.332433
| 7.483609
| 7.139034
|
2305.08071
|
Chon Man Sou
|
Sirui Ning, Chon Man Sou, Yi Wang
|
On the Decoherence of Primordial Gravitons
|
42 pages, 3 figures, 1 table, references added, typos corrected
|
JHEP 06 (2023) 101
|
10.1007/JHEP06(2023)101
| null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that the primordial scalar curvature and tensor
perturbations, $\zeta$ and $\gamma_{ij}$, are conserved on super-horizon scales
in minimal inflation models. However, their wave functional has a rapidly
oscillating phase which is slow-roll unsuppressed, as can be seen either from
boundary (total-derivative) terms of cosmological perturbations, or the WKB
approximation of the Wheeler-DeWitt equation. Such an oscillatory phase
involves gravitational non-linearity between scalar and tensor perturbations.
By tracing out unobserved modes, the oscillatory phase causes faster
decoherence of primordial gravitons compared to those by bulk interactions. Our
results put a stronger lower bound of decoherence effect to the recent
proposals probing squeezed primordial gravitons.
|
[
{
"created": "Sun, 14 May 2023 05:03:21 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2023 03:06:57 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jul 2023 09:51:55 GMT",
"version": "v3"
}
] |
2023-07-04
|
[
[
"Ning",
"Sirui",
""
],
[
"Sou",
"Chon Man",
""
],
[
"Wang",
"Yi",
""
]
] |
It is well-known that the primordial scalar curvature and tensor perturbations, $\zeta$ and $\gamma_{ij}$, are conserved on super-horizon scales in minimal inflation models. However, their wave functional has a rapidly oscillating phase which is slow-roll unsuppressed, as can be seen either from boundary (total-derivative) terms of cosmological perturbations, or the WKB approximation of the Wheeler-DeWitt equation. Such an oscillatory phase involves gravitational non-linearity between scalar and tensor perturbations. By tracing out unobserved modes, the oscillatory phase causes faster decoherence of primordial gravitons compared to those by bulk interactions. Our results put a stronger lower bound of decoherence effect to the recent proposals probing squeezed primordial gravitons.
| 12.335611
| 12.483614
| 12.871309
| 11.212181
| 12.221241
| 12.355989
| 13.284532
| 11.242139
| 11.410793
| 12.776386
| 11.585557
| 11.760013
| 11.709591
| 11.263839
| 12.111295
| 11.430237
| 11.609868
| 11.519605
| 11.717424
| 11.709186
| 11.632485
|
hep-th/0507047
|
Machiko Hatsuda
|
Machiko Hatsuda
|
Sugawara form for AdS superstring
|
16 pages, references added, version to appear in Nucl. Phys. B
|
Nucl.Phys. B730 (2005) 364-376
|
10.1016/j.nuclphysb.2005.10.001
| null |
hep-th
| null |
We show that the stress-energy tensor for a superstring in the AdS5xS5
background is written in a supersymmetric generalized "Sugawara" form. It is
the "supertrace" of the square of the right-invariant current which is the
Noether current satisfying the flatness condition. The Wess-Zumino term is
taken into account through the supersymmetric gauge connection in the
right-invariant currents, therefore the obtained stress-energy tensor is kappa
invariant. The integrability of the AdS superstring provides an infinite number
of the conserved "local" currents which are supertraces of the n-th power of
the right-invariant current. For even n the "local" current reduces to terms
proportional to the Virasoro constraint and the kappa symmetry constraint,
while for odd n it reduces to a term proportional to the kappa symmetry
constraint .
|
[
{
"created": "Wed, 6 Jul 2005 04:35:33 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2005 23:11:05 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Oct 2005 00:52:13 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Hatsuda",
"Machiko",
""
]
] |
We show that the stress-energy tensor for a superstring in the AdS5xS5 background is written in a supersymmetric generalized "Sugawara" form. It is the "supertrace" of the square of the right-invariant current which is the Noether current satisfying the flatness condition. The Wess-Zumino term is taken into account through the supersymmetric gauge connection in the right-invariant currents, therefore the obtained stress-energy tensor is kappa invariant. The integrability of the AdS superstring provides an infinite number of the conserved "local" currents which are supertraces of the n-th power of the right-invariant current. For even n the "local" current reduces to terms proportional to the Virasoro constraint and the kappa symmetry constraint, while for odd n it reduces to a term proportional to the kappa symmetry constraint .
| 8.481138
| 8.836514
| 9.572377
| 7.834044
| 8.967366
| 8.677022
| 8.68049
| 7.925038
| 7.694706
| 10.242723
| 7.87661
| 8.456192
| 8.505482
| 8.337811
| 8.054493
| 8.371243
| 8.08062
| 8.366885
| 8.166076
| 8.781433
| 8.180971
|
2102.05046
|
Luca Delacr\'etaz
|
Gabriel Cuomo, Luca V. Delacretaz and Umang Mehta
|
Large Charge Sector of 3d Parity-Violating CFTs
|
44 pages, 2 figures
| null |
10.1007/JHEP05(2021)115
|
EFI-21-1
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Certain CFTs with a global $U(1)$ symmetry become superfluids when coupled to
a chemical potential. When this happens, a Goldstone effective field theory
controls the spectrum and correlators of the lightest large charge operators.
We show that in 3d, this EFT contains a single parity-violating 1-derivative
term with quantized coefficient. This term forces the superfluid ground state
to have vortices on the sphere, leading to a spectrum of large charge operators
that is remarkably richer than in parity-invariant CFTs. We test our
predictions in a weakly coupled Chern-Simons matter theory.
|
[
{
"created": "Tue, 9 Feb 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 16 May 2021 22:21:03 GMT",
"version": "v2"
}
] |
2021-06-02
|
[
[
"Cuomo",
"Gabriel",
""
],
[
"Delacretaz",
"Luca V.",
""
],
[
"Mehta",
"Umang",
""
]
] |
Certain CFTs with a global $U(1)$ symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the lightest large charge operators. We show that in 3d, this EFT contains a single parity-violating 1-derivative term with quantized coefficient. This term forces the superfluid ground state to have vortices on the sphere, leading to a spectrum of large charge operators that is remarkably richer than in parity-invariant CFTs. We test our predictions in a weakly coupled Chern-Simons matter theory.
| 10.399419
| 9.313986
| 10.637506
| 8.91223
| 9.829678
| 9.632877
| 9.519917
| 9.100224
| 8.747577
| 10.094546
| 8.532788
| 8.914518
| 9.472445
| 8.953259
| 8.943242
| 8.67405
| 8.888374
| 8.632262
| 8.83296
| 9.65325
| 9.165936
|
1901.03010
|
Evgeniy Kurianovych
|
Michael Kreshchuk, Evgeniy Kurianovych, Mikhail Shifman
|
On Grassmannian Heterotic Sigma Model
|
21 pages, 6 figures
|
Phys. Rev. D 99, 125005 (2019)
|
10.1103/PhysRevD.99.125005
|
FTPI-MINN-18/24, UMN-TH-3809/8
|
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the non-minimal supersymmetric heterotically deformed
$\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space
$\mathcal{G}_{M,N}$. To develop the appropriate superfield formalism, we begin
with a simplified model with flat target space, find its beta function up to
two loops, and prove a non-renormalization theorem. Then we generalize the
results to the full model with the Grassmannian target space. Using the
geometric formulation, we calculate the beta functions and discuss the 't Hooft
and Veneziano limits.
|
[
{
"created": "Thu, 10 Jan 2019 03:52:37 GMT",
"version": "v1"
}
] |
2019-06-19
|
[
[
"Kreshchuk",
"Michael",
""
],
[
"Kurianovych",
"Evgeniy",
""
],
[
"Shifman",
"Mikhail",
""
]
] |
We study the non-minimal supersymmetric heterotically deformed $\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space $\mathcal{G}_{M,N}$. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a non-renormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the 't Hooft and Veneziano limits.
| 7.298042
| 6.817822
| 8.4238
| 7.273784
| 7.531443
| 7.375657
| 7.265658
| 6.861218
| 6.864923
| 8.923356
| 7.006379
| 7.035444
| 7.457828
| 6.956962
| 6.845263
| 7.153471
| 7.007304
| 7.025483
| 7.272329
| 7.602856
| 6.892231
|
2309.15629
|
Amit Giveon
|
Amit Giveon
|
2pf in single-trace $T\bar T$ holography
|
6 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The 2pf in single-trace $T\bar T$ holography was computed and analyzed for
operators in the $w=0$ sector in~\cite{Asrat:2017tzd}. Here we present its
immediate generalization to non-zero winding $w$. For long strings, the result
is identical to the one obtained within the TsT/$T\bar T$ approach
in~\cite{Cui:2023jrb} (up to a factor of the reflection coefficient).
|
[
{
"created": "Wed, 27 Sep 2023 13:01:55 GMT",
"version": "v1"
}
] |
2023-09-28
|
[
[
"Giveon",
"Amit",
""
]
] |
The 2pf in single-trace $T\bar T$ holography was computed and analyzed for operators in the $w=0$ sector in~\cite{Asrat:2017tzd}. Here we present its immediate generalization to non-zero winding $w$. For long strings, the result is identical to the one obtained within the TsT/$T\bar T$ approach in~\cite{Cui:2023jrb} (up to a factor of the reflection coefficient).
| 14.817038
| 16.186268
| 17.808895
| 14.744042
| 13.478912
| 14.694066
| 13.175863
| 14.891401
| 14.650109
| 17.833584
| 13.691207
| 13.455265
| 15.067749
| 13.379256
| 13.173152
| 13.06483
| 14.178926
| 13.493913
| 13.736132
| 15.040203
| 12.659994
|
1306.4027
|
Guilherme Fran\c{c}a
|
G. S. Franca, J. F. Gomes, A. H. Zimerman
|
The algebraic structure behind the derivative nonlinear Schroedinger
equation
|
references added
|
J. Phys. A: Math. Theor. 46 (2013) 305201
|
10.1088/1751-8113/46/30/305201
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schr\"
odinger equation (DNLSE) amongst others interesting and important nonlinear
integrable equations. In this paper, a general higher grading affine algebraic
construction of integrable hierarchies is proposed and the KN hierarchy is
established in terms of a $\hat{s\ell}_2$ Kac-Moody algebra and principal
gradation. In this form, our spectral problem is linear in the spectral
parameter. The positive and negative flows are derived, showing that some
interesting physical models arise from the same algebraic structure. For
instance, the DNLSE is obtained as the second positive, while the Mikhailov
model as the first negative flows, respectively. The equivalence between the
latter and the massive Thirring model is explicitly demonstrated also. The
algebraic dressing method is employed to construct soliton solutions in a
systematic manner for all members of the hierarchy. Finally, the equivalence of
the spectral problem introduced in this paper with the usual one, which is
quadratic in the spectral parameter, is achieved by setting a particular
automorphism of the affine algebra, which maps the homogeneous into principal
gradation.
|
[
{
"created": "Mon, 17 Jun 2013 21:39:15 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 2013 15:35:32 GMT",
"version": "v2"
}
] |
2013-08-02
|
[
[
"Franca",
"G. S.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schr\" odinger equation (DNLSE) amongst others interesting and important nonlinear integrable equations. In this paper, a general higher grading affine algebraic construction of integrable hierarchies is proposed and the KN hierarchy is established in terms of a $\hat{s\ell}_2$ Kac-Moody algebra and principal gradation. In this form, our spectral problem is linear in the spectral parameter. The positive and negative flows are derived, showing that some interesting physical models arise from the same algebraic structure. For instance, the DNLSE is obtained as the second positive, while the Mikhailov model as the first negative flows, respectively. The equivalence between the latter and the massive Thirring model is explicitly demonstrated also. The algebraic dressing method is employed to construct soliton solutions in a systematic manner for all members of the hierarchy. Finally, the equivalence of the spectral problem introduced in this paper with the usual one, which is quadratic in the spectral parameter, is achieved by setting a particular automorphism of the affine algebra, which maps the homogeneous into principal gradation.
| 10.686957
| 8.686691
| 11.838237
| 9.659519
| 10.435253
| 10.74982
| 9.983917
| 9.700658
| 9.8427
| 11.030576
| 9.744398
| 9.448325
| 10.328032
| 9.514699
| 10.012764
| 9.291376
| 9.480164
| 9.864054
| 9.488394
| 9.924144
| 9.06138
|
2309.00602
|
Yuki Yokokura
|
Yuki Yokokura
|
Black Hole from Entropy Maximization
|
22 pages, 5 figures. Rewrote the story and physical view as a new
work (in particular, changed title, abstract, Sec.1, and Sec.7 completely,
and made a new formulation in Sec.2); modified many places; and added new
footnotes, appendixes, and references
| null | null |
RIKEN-iTHEMS-Report-23
|
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One quantum characterization of a black hole motivated by (local) holography
and thermodynamics is that it maximizes thermodynamic entropy for a given
surface area. In the context of quantum gravity, this could be more fundamental
than the classical characterization by a horizon. As a step, we explore this
possibility by solving the 4D semi-classical Einstein equation with many matter
fields, and find a picture of a black hole. For spherical static highly-excited
configurations, we apply local typicality and estimate the entropy including
self-gravity to derive its upper bound. The saturation condition uniquely
determines the entropy-maximized configuration: self-gravitating quanta
condensate into a radially-uniform dense configuration with no horizon, where
the self-gravity and a large quantum pressure induced by the curvatures are
balanced and no singularity appears. The interior metric is a self-consistent
and non-perturbative solution for Planck's constant. The maximum entropy, given
by the volume integral of the entropy density, agrees with the
Bekenstein-Hawking formula through self-gravity, deriving the Bousso bound for
thermodynamic entropy. Finally, 10 future prospects are discussed, leading to
the speculative view that the configuration represents semi-classically a
quantum-gravitational condensate with holographic bulk dynamics.
|
[
{
"created": "Fri, 1 Sep 2023 17:44:24 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Oct 2023 07:24:33 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jan 2024 17:02:40 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Aug 2024 02:57:52 GMT",
"version": "v4"
}
] |
2024-08-05
|
[
[
"Yokokura",
"Yuki",
""
]
] |
One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the classical characterization by a horizon. As a step, we explore this possibility by solving the 4D semi-classical Einstein equation with many matter fields, and find a picture of a black hole. For spherical static highly-excited configurations, we apply local typicality and estimate the entropy including self-gravity to derive its upper bound. The saturation condition uniquely determines the entropy-maximized configuration: self-gravitating quanta condensate into a radially-uniform dense configuration with no horizon, where the self-gravity and a large quantum pressure induced by the curvatures are balanced and no singularity appears. The interior metric is a self-consistent and non-perturbative solution for Planck's constant. The maximum entropy, given by the volume integral of the entropy density, agrees with the Bekenstein-Hawking formula through self-gravity, deriving the Bousso bound for thermodynamic entropy. Finally, 10 future prospects are discussed, leading to the speculative view that the configuration represents semi-classically a quantum-gravitational condensate with holographic bulk dynamics.
| 16.914484
| 19.605131
| 17.41354
| 16.110437
| 19.429251
| 18.852362
| 19.57033
| 18.44692
| 17.124935
| 19.278097
| 17.642681
| 16.897381
| 16.949383
| 16.770256
| 17.432735
| 17.502058
| 17.968948
| 16.675106
| 16.611204
| 17.240746
| 16.901918
|
hep-th/9805072
|
Henrik Gustafsson
|
H. Gustafsson, S.E. Hjelmeland and U. Lindstrom
|
Some New Non-Abelian 2D Dualities
|
16 pages, Latex
|
Phys.Scripta60:305-311,1999
|
10.1238/Physica.Regular.060a00305
|
USITP-98-04, OSLO-TP 2-98
|
hep-th
| null |
Starting from certain 3D non-abelian dual systems, we discuss a number of
related dual systems in 2D, some of which are obtained by dimensional
reduction. The dualities relate massive scalar and vector fields, and may be
relevant for string theory in the context of massive type IIA supergravity.
Supersymmetric extensions of the models are also presented.
|
[
{
"created": "Tue, 12 May 1998 16:47:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gustafsson",
"H.",
""
],
[
"Hjelmeland",
"S. E.",
""
],
[
"Lindstrom",
"U.",
""
]
] |
Starting from certain 3D non-abelian dual systems, we discuss a number of related dual systems in 2D, some of which are obtained by dimensional reduction. The dualities relate massive scalar and vector fields, and may be relevant for string theory in the context of massive type IIA supergravity. Supersymmetric extensions of the models are also presented.
| 10.760174
| 9.343457
| 9.543889
| 8.70645
| 9.172831
| 9.169345
| 8.989295
| 8.400541
| 8.258224
| 9.998045
| 8.59833
| 8.797332
| 9.509778
| 8.794849
| 9.536216
| 9.148728
| 8.933075
| 9.156475
| 9.081121
| 9.719431
| 8.83808
|
2107.05012
|
Azizollah Azizi
|
Azizollah Azizi, Amir A. Khodahami
|
An approach to the quasi-equilibrium state of a self-gravitating system
|
10 pages
|
Phys. Lett. B, 2022
|
10.1016/j.physletb.2022.137334
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We propose an approach to find out when a self-gravitating system is in a
quasi-equilibrium state. This approach is based on a comparison between two
quantities identifying behavior of the system: a measure of interactions
intensity and the area. Gravitational scattering cross section of the system,
defined by using the two-particle scattering cross section formula, is
considered as the measure of interactions intensity here. A quasi-equilibrium
state of such system is considered as a state when there is a balance between
these two quantities. As a result, we obtain an equation which relates density
and temperature for such a system in the non-relativistic classical limit. This
equation is consistent with the TOV equation as expected.
|
[
{
"created": "Sun, 11 Jul 2021 10:34:45 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2022 09:00:49 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jul 2022 10:24:22 GMT",
"version": "v3"
}
] |
2022-07-26
|
[
[
"Azizi",
"Azizollah",
""
],
[
"Khodahami",
"Amir A.",
""
]
] |
We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. A quasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected.
| 9.940327
| 10.877313
| 9.74105
| 9.723725
| 11.372217
| 10.911827
| 10.210961
| 9.764282
| 9.553098
| 11.342237
| 9.714704
| 9.954483
| 9.253827
| 9.348307
| 9.512188
| 9.595316
| 9.839638
| 9.535788
| 9.807871
| 9.572473
| 9.517565
|
1211.0109
|
Ram Brustein
|
Ram Brustein, A.J.M. Medved
|
Graviton multi-point functions at the AdS boundary
|
29 pages, 10 figures
| null |
10.1103/PhysRevD.87.024005
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The gauge-gravity duality can be used to relate connected multi-point
graviton functions to connected multi-point correlation functions of the stress
tensor of a strongly coupled fluid. Here, we show how to construct the
connected graviton functions for a particular kinematic regime that is ideal
for discriminating between different gravitational theories; in particular,
between Einstein theory and its leading-order string theory correction. Our
analysis begins with the one-particle irreducible graviton amplitudes in an
anti-de Sitter black brane background. We show how these can be used to
calculate the connected graviton functions and demonstrate that the two types
of amplitudes agree in some cases. It is then asserted on physical grounds that
this agreement persists in all cases for both Einstein gravity and its
leading-order correction. This outcome implies that the corresponding
field-theory correlation functions can be read directly off from the bulk
Lagrangian, just as can be done for the ratio of the shear viscosity to the
entropy density.
|
[
{
"created": "Thu, 1 Nov 2012 07:04:06 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
The gauge-gravity duality can be used to relate connected multi-point graviton functions to connected multi-point correlation functions of the stress tensor of a strongly coupled fluid. Here, we show how to construct the connected graviton functions for a particular kinematic regime that is ideal for discriminating between different gravitational theories; in particular, between Einstein theory and its leading-order string theory correction. Our analysis begins with the one-particle irreducible graviton amplitudes in an anti-de Sitter black brane background. We show how these can be used to calculate the connected graviton functions and demonstrate that the two types of amplitudes agree in some cases. It is then asserted on physical grounds that this agreement persists in all cases for both Einstein gravity and its leading-order correction. This outcome implies that the corresponding field-theory correlation functions can be read directly off from the bulk Lagrangian, just as can be done for the ratio of the shear viscosity to the entropy density.
| 8.189686
| 8.935776
| 9.118917
| 8.038668
| 8.984093
| 9.21896
| 8.566891
| 8.587692
| 8.233116
| 9.974673
| 8.16787
| 7.949397
| 8.332678
| 8.064225
| 7.968271
| 7.797262
| 7.981266
| 7.930347
| 7.932038
| 8.19912
| 8.082667
|
2111.04761
|
Shailesh Lal
|
Yang-Hui He, Shailesh Lal, M. Zaid Zaz
|
The World in a Grain of Sand: Condensing the String Vacuum Degeneracy
|
12 pages, 15 figures, 3 tables
| null | null | null |
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a novel approach toward the vacuum degeneracy problem of the
string landscape, by finding an efficient measure of similarity amongst
compactification scenarios. Using a class of some one million Calabi-Yau
manifolds as concrete examples, the paradigm of few-shot machine-learning and
Siamese Neural Networks represents them as points in R(3) where the similarity
score between two manifolds is the Euclidean distance between their R(3)
representatives. Using these methods, we can compress the search space for
exceedingly rare manifolds to within one percent of the original data by
training on only a few hundred data points. We also demonstrate how these
methods may be applied to characterize `typicality' for vacuum representatives.
|
[
{
"created": "Mon, 8 Nov 2021 19:00:14 GMT",
"version": "v1"
}
] |
2022-01-02
|
[
[
"He",
"Yang-Hui",
""
],
[
"Lal",
"Shailesh",
""
],
[
"Zaz",
"M. Zaid",
""
]
] |
We propose a novel approach toward the vacuum degeneracy problem of the string landscape, by finding an efficient measure of similarity amongst compactification scenarios. Using a class of some one million Calabi-Yau manifolds as concrete examples, the paradigm of few-shot machine-learning and Siamese Neural Networks represents them as points in R(3) where the similarity score between two manifolds is the Euclidean distance between their R(3) representatives. Using these methods, we can compress the search space for exceedingly rare manifolds to within one percent of the original data by training on only a few hundred data points. We also demonstrate how these methods may be applied to characterize `typicality' for vacuum representatives.
| 16.327265
| 19.55559
| 17.072844
| 15.263685
| 18.383617
| 18.438593
| 16.603188
| 17.786757
| 17.050127
| 17.829185
| 16.247183
| 16.348003
| 15.870571
| 15.362633
| 16.202179
| 16.873175
| 15.717688
| 16.120884
| 15.490512
| 16.160452
| 16.051857
|
hep-th/0001216
|
Peter West
|
P. West
|
Automorphisms, Non-linear Realizations and Branes
|
17 pages, plain tex, corrected some typos and two references added
|
JHEP0002:024,2000
|
10.1088/1126-6708/2000/02/024
|
KCL-MTH-00-4
|
hep-th
| null |
The theory of non-linear realizations is used to derive the dynamics of the
branes of M theory. A crucial step in this procedure is to use the enlarged
automorphism group of the supersymmetry algebra recently introduced. The field
strengths of the worldvolume gauge fields arise as some of the Goldstone fields
associated with this automorphism group. The relationship to the superembedding
approach is given.
|
[
{
"created": "Mon, 31 Jan 2000 15:26:13 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2001 12:07:55 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"West",
"P.",
""
]
] |
The theory of non-linear realizations is used to derive the dynamics of the branes of M theory. A crucial step in this procedure is to use the enlarged automorphism group of the supersymmetry algebra recently introduced. The field strengths of the worldvolume gauge fields arise as some of the Goldstone fields associated with this automorphism group. The relationship to the superembedding approach is given.
| 11.162489
| 8.428395
| 11.642879
| 8.284646
| 8.694076
| 8.401863
| 8.671229
| 8.336905
| 8.816094
| 10.451874
| 9.06653
| 8.975816
| 11.17033
| 9.336443
| 9.261062
| 8.69905
| 9.131602
| 9.04432
| 9.550715
| 10.96155
| 9.349752
|
0809.3226
|
Johan Engquist
|
Johan Engquist
|
Anyons, Deformed Oscillator Algebras and Projectors
|
22 pages, 3 figures; v2: minor clarifications, references added,
published in Nuclear Physics B
|
Nucl.Phys.B816:356-375,2009
|
10.1016/j.nuclphysb.2009.02.001
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate an algebraic approach to the many-anyon problem based on deformed
oscillator algebras. The formalism utilizes a generalization of the deformed
Heisenberg algebras underlying the operator solution of the Calogero problem.
We define a many-body Hamiltonian and an angular momentum operator which are
relevant for a linearized analysis in the statistical parameter nu. There
exists a unique ground state and, in spite of the presence of defect lines, the
anyonic weight lattices are completely connected by the application of the
oscillators of the algebra. This is achieved by supplementing the oscillator
algebra with a certain projector algebra.
|
[
{
"created": "Thu, 18 Sep 2008 18:55:31 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2009 10:18:12 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Engquist",
"Johan",
""
]
] |
We initiate an algebraic approach to the many-anyon problem based on deformed oscillator algebras. The formalism utilizes a generalization of the deformed Heisenberg algebras underlying the operator solution of the Calogero problem. We define a many-body Hamiltonian and an angular momentum operator which are relevant for a linearized analysis in the statistical parameter nu. There exists a unique ground state and, in spite of the presence of defect lines, the anyonic weight lattices are completely connected by the application of the oscillators of the algebra. This is achieved by supplementing the oscillator algebra with a certain projector algebra.
| 10.106449
| 11.488959
| 14.53723
| 11.045566
| 12.553635
| 12.489506
| 11.173806
| 10.682487
| 12.381665
| 15.784801
| 11.31595
| 11.275205
| 12.462281
| 11.402
| 11.265203
| 11.142279
| 11.022095
| 11.123516
| 10.998464
| 11.640615
| 10.958712
|
hep-th/9905136
|
I. P. Costa e Silva
|
A.P. Balachandran, E. Batista, I.P. Costa e Silva, P.
Teotonio-Sobrinho
|
Quantum Topology Change in (2 + 1)d
|
LaTeX file, 33 pages, 10 postscript figures, some typos corrected,
references updated, and other minor changes
|
Int.J.Mod.Phys. A15 (2000) 1629-1660
|
10.1142/S0217751X00000732
|
SU-4240-698
|
hep-th gr-qc math.QA
| null |
The topology of orientable (2 + 1)d spacetimes can be captured by certain
lumps of non-trivial topology called topological geons. They are the
topological analogues of conventional solitons. We give a description of
topological geons where the degrees of freedom related to topology are
separated from the complete theory that contains metric (dynamical) degrees of
freedom. The formalism also allows us to investigate processes of quantum
topology change. They correspond to creation and annihilation of quantum geons.
Selection rules for such processes are derived.
|
[
{
"created": "Tue, 18 May 1999 19:08:54 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 1999 19:36:14 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Aug 1999 15:06:38 GMT",
"version": "v3"
},
{
"created": "Tue, 26 Oct 1999 16:28:00 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Balachandran",
"A. P.",
""
],
[
"Batista",
"E.",
""
],
[
"Silva",
"I. P. Costa e",
""
],
[
"Teotonio-Sobrinho",
"P.",
""
]
] |
The topology of orientable (2 + 1)d spacetimes can be captured by certain lumps of non-trivial topology called topological geons. They are the topological analogues of conventional solitons. We give a description of topological geons where the degrees of freedom related to topology are separated from the complete theory that contains metric (dynamical) degrees of freedom. The formalism also allows us to investigate processes of quantum topology change. They correspond to creation and annihilation of quantum geons. Selection rules for such processes are derived.
| 12.325455
| 10.76586
| 12.015509
| 10.942642
| 11.811911
| 11.396951
| 11.44234
| 11.038976
| 12.491141
| 11.755592
| 11.707458
| 12.096505
| 11.510498
| 11.795241
| 11.669856
| 11.652374
| 11.757181
| 11.679971
| 11.776168
| 11.551475
| 11.581448
|
2407.07942
|
Nemanja Kaloper
|
Guido D'Amico, Nemanja Kaloper
|
Reviving QFT in $2+1$ de Sitter Spacetime
|
30 pages, 7 png figures
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a conformally coupled scalar QFT on $2+1$ dimensional static
Einstein universe $R \times S^2$, and write down the free theory Hilbert space.
We explain that this theory is secretly a QFT in $2+1$ de Sitter space because
all the quantum observables experience {\it quantum revivals}, which naturally
restricts the timelike $R$ to the appropriate de Sitter time range. Our
construction circumvents the causal obstruction to formulating QFT in de Sitter
due to event horizons. There aren't any in static Einstein. The `unitary gauge'
description of the theory is realized by the zonal harmonics $P_\ell(\hat n
\cdot \hat n')$. We verify that interactions with conformally invariant
external sources are mediated only by these modes. Hence these modes comprise
the complete basis of the "bulk" theory. When the theory is cut off in the UV
the basis dimension scales as the Bekenstein-Hawking formula.
|
[
{
"created": "Wed, 10 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-07-15
|
[
[
"D'Amico",
"Guido",
""
],
[
"Kaloper",
"Nemanja",
""
]
] |
We consider a conformally coupled scalar QFT on $2+1$ dimensional static Einstein universe $R \times S^2$, and write down the free theory Hilbert space. We explain that this theory is secretly a QFT in $2+1$ de Sitter space because all the quantum observables experience {\it quantum revivals}, which naturally restricts the timelike $R$ to the appropriate de Sitter time range. Our construction circumvents the causal obstruction to formulating QFT in de Sitter due to event horizons. There aren't any in static Einstein. The `unitary gauge' description of the theory is realized by the zonal harmonics $P_\ell(\hat n \cdot \hat n')$. We verify that interactions with conformally invariant external sources are mediated only by these modes. Hence these modes comprise the complete basis of the "bulk" theory. When the theory is cut off in the UV the basis dimension scales as the Bekenstein-Hawking formula.
| 15.676981
| 17.162769
| 17.19766
| 15.122175
| 17.909075
| 16.762604
| 15.654474
| 15.289943
| 15.158283
| 18.294025
| 15.432465
| 14.628951
| 15.463202
| 15.175561
| 15.302646
| 15.194821
| 15.233295
| 14.621028
| 14.298721
| 15.092582
| 14.454589
|
1312.5374
|
Hong Lu
|
Xing-Hui Feng, H. Lu and Qiang Wen
|
Scalar Hairy Black Holes in General Dimensions
|
Latex, 21 pages, references and new comments added, typos corrected.
To appear in PRD
|
Phys. Rev. D 89, 044014 (2014)
|
10.1103/PhysRevD.89.044014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain a class of asymptotic flat or (A)dS hairy black holes in
D-dimensional Einstein gravity coupled to a scalar with certain scalar
potential. For a given mass, the theory admits both the
Schwarzschild-Tangherlini and the hairy black holes with different temperature
and entropy, but satisfying the same first law of thermodynamics. For some
appropriate choice of parameters, the scalar potential can be expressed in
terms of a super-potential and it can arise in gauged supergravities. In this
case, the solutions develop a naked curvature singularity and become the
spherical domain walls. Uplifting the solutions to D=11 or 10, we obtain
solutions that can be viewed as spherical M-branes or D3-branes. We also add
electric charges to these hairy black holes. All these solutions contain no
scalar charges in that the first law of thermodynamics are unmodified. We also
try to construct new AdS black holes carrying scalar charges, with some
moderate success in that the charges are pre-fixed in the theory instead of
being some continuous integration constants.
|
[
{
"created": "Wed, 18 Dec 2013 23:41:02 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2014 01:18:04 GMT",
"version": "v2"
}
] |
2014-03-27
|
[
[
"Feng",
"Xing-Hui",
""
],
[
"Lu",
"H.",
""
],
[
"Wen",
"Qiang",
""
]
] |
We obtain a class of asymptotic flat or (A)dS hairy black holes in D-dimensional Einstein gravity coupled to a scalar with certain scalar potential. For a given mass, the theory admits both the Schwarzschild-Tangherlini and the hairy black holes with different temperature and entropy, but satisfying the same first law of thermodynamics. For some appropriate choice of parameters, the scalar potential can be expressed in terms of a super-potential and it can arise in gauged supergravities. In this case, the solutions develop a naked curvature singularity and become the spherical domain walls. Uplifting the solutions to D=11 or 10, we obtain solutions that can be viewed as spherical M-branes or D3-branes. We also add electric charges to these hairy black holes. All these solutions contain no scalar charges in that the first law of thermodynamics are unmodified. We also try to construct new AdS black holes carrying scalar charges, with some moderate success in that the charges are pre-fixed in the theory instead of being some continuous integration constants.
| 10.655803
| 11.122879
| 11.733429
| 9.96374
| 9.73417
| 9.962448
| 10.348323
| 10.560406
| 10.292117
| 11.589828
| 9.667989
| 10.149499
| 10.704021
| 10.109042
| 9.969762
| 10.16983
| 9.896763
| 10.395408
| 10.407063
| 10.095511
| 10.012337
|
1802.10381
|
Pallab Basu
|
Pallab Basu, Kasi Jaswin, Anosh Joseph
|
Complex Langevin Dynamics in Large $N$ Unitary Matrix Models
|
32 pages, 28 figures, 2 appendices. Version accepted for publication
|
Phys. Rev. D 98, 034501 (2018)
|
10.1103/PhysRevD.98.034501
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using complex Langevin dynamics we examine the phase structure of complex
unitary matrix models and compare the numerical results with analytic results
found at large $N$. The actions we consider are manifestly complex, and thus
the dominant contribution to the path integral comes from the space of
complexified gauge field configuration. For this reason, the eigenvalues of
unitary matrix lie off the unit circle and venture out in the complex plane.
One example of a complex unitary matrix model, with Polyakov line as the
unitary matrix, is an effective description of a QCD at finite density and
temperature with $N$ number of colors and $N_f$ number of quark flavors defined
on the manifold $S^1 \times S^3$. A distinct feature of this model, the
occurrence of a series of Gross-Witten-Wadia transitions, as a function of the
quark chemical potential, is reproduced using complex Langevin simulations. We
simulate several other observables including Polyakov lines and quark number
density, for large $N$ and $N_f$ and found excellent match with the analytic
results.
|
[
{
"created": "Wed, 28 Feb 2018 12:11:32 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Mar 2018 08:53:30 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Mar 2018 14:32:00 GMT",
"version": "v3"
},
{
"created": "Wed, 25 Jul 2018 10:57:46 GMT",
"version": "v4"
}
] |
2018-08-15
|
[
[
"Basu",
"Pallab",
""
],
[
"Jaswin",
"Kasi",
""
],
[
"Joseph",
"Anosh",
""
]
] |
Using complex Langevin dynamics we examine the phase structure of complex unitary matrix models and compare the numerical results with analytic results found at large $N$. The actions we consider are manifestly complex, and thus the dominant contribution to the path integral comes from the space of complexified gauge field configuration. For this reason, the eigenvalues of unitary matrix lie off the unit circle and venture out in the complex plane. One example of a complex unitary matrix model, with Polyakov line as the unitary matrix, is an effective description of a QCD at finite density and temperature with $N$ number of colors and $N_f$ number of quark flavors defined on the manifold $S^1 \times S^3$. A distinct feature of this model, the occurrence of a series of Gross-Witten-Wadia transitions, as a function of the quark chemical potential, is reproduced using complex Langevin simulations. We simulate several other observables including Polyakov lines and quark number density, for large $N$ and $N_f$ and found excellent match with the analytic results.
| 8.538211
| 8.430648
| 9.700221
| 8.393288
| 8.960603
| 8.191669
| 8.726377
| 8.633693
| 8.160406
| 10.058802
| 8.54519
| 8.468554
| 8.561684
| 8.312524
| 8.328698
| 8.456107
| 8.359101
| 8.496576
| 8.341786
| 8.819613
| 8.458274
|
1711.07826
|
Andrea Brini
|
Andrea Brini
|
On the Gopakumar-Ooguri-Vafa correspondence for Clifford-Klein
3-manifolds
|
Write-up of a talk at the AMS Von Neumann symposium 2016, meant as a
short survey, with a more physical slant, of arXiv:1506.06887 and Section 4.2
of arXiv:1711.05958 to which the reader is referred for the original material
and more details. 18 pages
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gopakumar, Ooguri and Vafa famously proposed the existence of a
correspondence between a topological gauge theory on one hand ($U(N)$
Chern-Simons theory on the three-sphere) and a topological string theory on the
other (the topological A-model on the resolved conifold). On the physics side,
this duality provides a concrete instance of the large $N$ gauge/string
correspondence where exact computations can be performed in detail;
mathematically, it puts forward a triangle of striking relations between
quantum invariants (Reshetikhin-Turaev-Witten) of knots and 3-manifolds,
curve-counting invariants (Gromov-Witten/Donaldson-Thomas) of local Calabi-Yau
3-folds, and the Eynard-Orantin recursion for a specific class of spectral
curves. I quickly survey recent results on the most general frame of validity
of this correspondence and discuss some of its implications.
|
[
{
"created": "Mon, 20 Nov 2017 13:30:58 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Brini",
"Andrea",
""
]
] |
Gopakumar, Ooguri and Vafa famously proposed the existence of a correspondence between a topological gauge theory on one hand ($U(N)$ Chern-Simons theory on the three-sphere) and a topological string theory on the other (the topological A-model on the resolved conifold). On the physics side, this duality provides a concrete instance of the large $N$ gauge/string correspondence where exact computations can be performed in detail; mathematically, it puts forward a triangle of striking relations between quantum invariants (Reshetikhin-Turaev-Witten) of knots and 3-manifolds, curve-counting invariants (Gromov-Witten/Donaldson-Thomas) of local Calabi-Yau 3-folds, and the Eynard-Orantin recursion for a specific class of spectral curves. I quickly survey recent results on the most general frame of validity of this correspondence and discuss some of its implications.
| 6.076178
| 5.995762
| 6.842597
| 5.798441
| 6.287558
| 6.439122
| 6.172606
| 6.326272
| 6.247293
| 7.829876
| 5.987449
| 5.63427
| 5.945578
| 5.633698
| 5.762954
| 5.625774
| 5.741426
| 5.511744
| 5.791075
| 5.961682
| 5.758477
|
1604.06205
|
Keun-young Kim
|
Keun-Young Kim, Kyung Kiu Kim, and Miok Park
|
Ward Identity and Homes' Law in a Holographic Superconductor with
Momentum Relaxation
|
31 pages, 14 figures, v2: minor changes, typos corrected, references
added
| null |
10.1007/JHEP10(2016)041
| null |
hep-th cond-mat.str-el cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three properties of a holographic superconductor related to
conductivities, where momentum relaxation plays an important role. First, we
find that there are constraints between electric, thermoelectric and thermal
conductivities. The constraints are analytically derived by the Ward identities
regarding diffeomorphism from field theory perspective. We confirm them by
numerically computing all two-point functions from holographic perspective.
Second, we investigate Homes' law and Uemura's law for various high-temperature
and conventional superconductors. They are empirical and (material independent)
universal relations between the superfluid density at zero temperature, the
transition temperature, and the electric DC conductivity right above the
transition temperature. In our model, it turns out that the Homes' law does not
hold but the Uemura's law holds at small momentum relaxation related to
coherent metal regime. Third, we explicitly show that the DC electric
conductivity is finite for a neutral scalar instability while it is infinite
for a complex scalar instability. This shows that the neutral scalar
instability has nothing to do with superconductivity as expected.
|
[
{
"created": "Thu, 21 Apr 2016 07:47:09 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 09:08:59 GMT",
"version": "v2"
}
] |
2016-11-03
|
[
[
"Kim",
"Keun-Young",
""
],
[
"Kim",
"Kyung Kiu",
""
],
[
"Park",
"Miok",
""
]
] |
We study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role. First, we find that there are constraints between electric, thermoelectric and thermal conductivities. The constraints are analytically derived by the Ward identities regarding diffeomorphism from field theory perspective. We confirm them by numerically computing all two-point functions from holographic perspective. Second, we investigate Homes' law and Uemura's law for various high-temperature and conventional superconductors. They are empirical and (material independent) universal relations between the superfluid density at zero temperature, the transition temperature, and the electric DC conductivity right above the transition temperature. In our model, it turns out that the Homes' law does not hold but the Uemura's law holds at small momentum relaxation related to coherent metal regime. Third, we explicitly show that the DC electric conductivity is finite for a neutral scalar instability while it is infinite for a complex scalar instability. This shows that the neutral scalar instability has nothing to do with superconductivity as expected.
| 10.046619
| 10.442369
| 11.049778
| 9.696167
| 9.881659
| 10.051634
| 9.799579
| 9.487828
| 9.648632
| 11.976857
| 9.258861
| 9.411045
| 10.19357
| 9.417555
| 9.365794
| 9.474776
| 9.511025
| 9.281306
| 9.816249
| 10.335423
| 9.091685
|
1111.5278
|
George Siopsis
|
Savan Kharel and George Siopsis
|
Gauge theory one-loop amplitudes and the BCFW recursion relations
|
PRD version: 15 pages, 7 figures, improved discussion
| null |
10.1103/PhysRevD.86.025004
|
UTHET-11-1002
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate gauge theory one-loop amplitudes with the aid of the complex
shift used in the Britto-Cachazo-Feng-Witten (BCFW) recursion relations of tree
amplitudes. We apply the shift to the integrand and show that the contribution
from the limit of infinite shift vanishes after integrating over the loop
momentum, by a judicious choice of basis for polarization vectors. This enables
us to write the one-loop amplitude in terms of on-shell tree and lower point
one-loop amplitudes. Some of the tree amplitudes are forward amplitudes. We
show that their potential singularities do not contribute and the BCFW
recursion relations can be applied in such a way as to avoid these
singularities altogether. We calculate in detail $n$-point one-loop amplitudes
for $n=2,3,4$, and outline the generalization of our method to $n>4$.
|
[
{
"created": "Tue, 22 Nov 2011 18:37:28 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jul 2012 12:51:58 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Kharel",
"Savan",
""
],
[
"Siopsis",
"George",
""
]
] |
We calculate gauge theory one-loop amplitudes with the aid of the complex shift used in the Britto-Cachazo-Feng-Witten (BCFW) recursion relations of tree amplitudes. We apply the shift to the integrand and show that the contribution from the limit of infinite shift vanishes after integrating over the loop momentum, by a judicious choice of basis for polarization vectors. This enables us to write the one-loop amplitude in terms of on-shell tree and lower point one-loop amplitudes. Some of the tree amplitudes are forward amplitudes. We show that their potential singularities do not contribute and the BCFW recursion relations can be applied in such a way as to avoid these singularities altogether. We calculate in detail $n$-point one-loop amplitudes for $n=2,3,4$, and outline the generalization of our method to $n>4$.
| 6.440852
| 6.231909
| 6.414353
| 6.240005
| 6.375402
| 6.885681
| 6.23329
| 6.407814
| 6.302033
| 6.544691
| 6.127993
| 6.395975
| 6.17162
| 6.138239
| 6.270863
| 6.341347
| 6.166857
| 6.263445
| 6.281088
| 6.214446
| 6.159358
|
0912.0737
|
Amir-Kian Kashani-Poor
|
Michele Cirafici, Amir-Kian Kashani-Poor, Richard J. Szabo
|
Crystal melting on toric surfaces
|
30 pages; v2: references added
| null |
10.1016/j.geomphys.2011.06.014
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relationship between the statistical mechanics of crystal
melting and instanton counting in N=4 supersymmetric U(1) gauge theory on toric
surfaces. We argue that, in contrast to their six-dimensional cousins, the two
problems are related but not identical. We develop a vertex formalism for the
crystal partition function, which calculates a generating function for the
dimension 0 and 1 subschemes of the toric surface, and describe the
modifications required to obtain the corresponding gauge theory partition
function.
|
[
{
"created": "Fri, 4 Dec 2009 13:56:20 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 2009 10:39:20 GMT",
"version": "v2"
}
] |
2015-05-14
|
[
[
"Cirafici",
"Michele",
""
],
[
"Kashani-Poor",
"Amir-Kian",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We study the relationship between the statistical mechanics of crystal melting and instanton counting in N=4 supersymmetric U(1) gauge theory on toric surfaces. We argue that, in contrast to their six-dimensional cousins, the two problems are related but not identical. We develop a vertex formalism for the crystal partition function, which calculates a generating function for the dimension 0 and 1 subschemes of the toric surface, and describe the modifications required to obtain the corresponding gauge theory partition function.
| 10.656642
| 10.816929
| 12.898848
| 9.465375
| 9.638786
| 10.054193
| 9.74398
| 9.431742
| 8.942894
| 14.691419
| 8.912724
| 9.436388
| 11.46719
| 9.422352
| 9.382238
| 9.278669
| 9.269126
| 9.365483
| 9.298496
| 11.433872
| 9.530937
|
hep-th/9902026
|
Marina Huerta
|
Marina Huerta (Instituto Balseiro, Bariloche, Argentina)
|
U(1)xSU(m)_1 Theory and c=m W_{1+\infty} Minimal Models in the
Hierarchical Quantum Hall Effect
|
LaTeX with Tcilatex Macro (included), 16 pages, no figures
|
Int.J.Mod.Phys. A15 (2000) 915
|
10.1142/S0217751X00000458
| null |
hep-th cond-mat
| null |
Two classes of Conformal Field Theories have been proposed to describe the
Hierarchical Quantum Hall Effect:the multi-component bosonic theory,
characterized by the symmetry U(1)xSU(m)_1 and the W_{1+\infty} minimal models
with central charge c=m. In spite of having the same spectrum of edge
excitations, they manifest differences in the degeneracy of the states and in
the quantum statistics, which call for a more detailed comparison between them.
Here, we describe their detailed relation for the general case, c=m and extend
the methods previously published for c < 4. Specifically, we obtain the
reduction in the number of degrees of freedom from the multi-component Abelian
theory to the minimal models by decomposing the characters of the U(1)xSU(m)_1
representations into those of the c=m W_{1+\infty} minimal models. Furthermore,
we find the Hamiltonian whose renormalization group flow interpolates between
the two models, having the W_{1+\infty} minimal models as infra-red fixed
point.
|
[
{
"created": "Tue, 2 Feb 1999 20:56:17 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Huerta",
"Marina",
"",
"Instituto Balseiro, Bariloche, Argentina"
]
] |
Two classes of Conformal Field Theories have been proposed to describe the Hierarchical Quantum Hall Effect:the multi-component bosonic theory, characterized by the symmetry U(1)xSU(m)_1 and the W_{1+\infty} minimal models with central charge c=m. In spite of having the same spectrum of edge excitations, they manifest differences in the degeneracy of the states and in the quantum statistics, which call for a more detailed comparison between them. Here, we describe their detailed relation for the general case, c=m and extend the methods previously published for c < 4. Specifically, we obtain the reduction in the number of degrees of freedom from the multi-component Abelian theory to the minimal models by decomposing the characters of the U(1)xSU(m)_1 representations into those of the c=m W_{1+\infty} minimal models. Furthermore, we find the Hamiltonian whose renormalization group flow interpolates between the two models, having the W_{1+\infty} minimal models as infra-red fixed point.
| 8.544532
| 9.315773
| 9.545052
| 8.479661
| 9.484649
| 8.783734
| 8.891814
| 8.416798
| 7.988301
| 10.530723
| 8.059928
| 8.526875
| 9.007283
| 8.080059
| 8.318254
| 8.331188
| 8.196184
| 8.515432
| 8.264056
| 9.071248
| 8.294552
|
hep-th/9505037
|
Koikawa Takao
|
Masaru Kamata and Takao Koikawa
|
The electrically charged BTZ black hole with self(anti-self) dual
Maxwell field
|
7 pages, no figs
|
Phys.Lett. B353 (1995) 196-200
|
10.1016/0370-2693(95)00583-7
|
IC/95/61, OTUMA-HEP-9502
|
hep-th
| null |
The Einstein-Maxwell equations with a negative cosmological constant in 2+1
spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by
assuming a self(anti-self)dual equation. The solution describes an electrically
charged extreme black hole with an angular momentum.
|
[
{
"created": "Sat, 6 May 1995 10:33:38 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kamata",
"Masaru",
""
],
[
"Koikawa",
"Takao",
""
]
] |
The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically charged extreme black hole with an angular momentum.
| 8.944408
| 6.94631
| 6.626209
| 6.04611
| 6.712509
| 7.443104
| 6.773287
| 6.919583
| 6.849988
| 7.012451
| 6.674176
| 7.314215
| 7.009719
| 6.883477
| 6.812308
| 7.021474
| 7.302102
| 6.828411
| 7.377254
| 7.035264
| 7.196209
|
2304.08292
|
Jakob Salzer
|
Jakob Salzer
|
An Embedding Space Approach to Carrollian CFT Correlators for Flat Space
Holography
|
45 pages; v2 appendix expanded, agrees with published version
|
JHEP 10 (2023) 084
| null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-sa/4.0/
|
Carrollian conformal field theories (carrollian CFTs) are natural field
theories on null infinity of an asymptotically flat spacetime or, in general,
geometries with conformal carrollian structure. Using a basis transformation,
gravitational S-matrix elements can be brought into the form of correlators of
a carrollian CFT. Therefore, it has been suggested that carrollian CFTs could
provide a co-dimension one dual description to gravity in asymptotically flat
spacetimes. In this work, we construct an embedding space formalism for
three-dimensional carrollian CFTs and use it to determine two- and three-point
correlators. These correlators are fixed by the global subgroup ISO(3,1) of the
carrollian conformal symmetries, i.e., the Bondi--van der Burg--Metzner--Sachs
symmetries (BMS). The correlators coincide with well-known two- and three-point
scattering amplitudes in Minkowski space written with respect to a basis of
asymptotic position states.
|
[
{
"created": "Mon, 17 Apr 2023 14:07:28 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2023 09:48:20 GMT",
"version": "v2"
}
] |
2023-11-13
|
[
[
"Salzer",
"Jakob",
""
]
] |
Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, in general, geometries with conformal carrollian structure. Using a basis transformation, gravitational S-matrix elements can be brought into the form of correlators of a carrollian CFT. Therefore, it has been suggested that carrollian CFTs could provide a co-dimension one dual description to gravity in asymptotically flat spacetimes. In this work, we construct an embedding space formalism for three-dimensional carrollian CFTs and use it to determine two- and three-point correlators. These correlators are fixed by the global subgroup ISO(3,1) of the carrollian conformal symmetries, i.e., the Bondi--van der Burg--Metzner--Sachs symmetries (BMS). The correlators coincide with well-known two- and three-point scattering amplitudes in Minkowski space written with respect to a basis of asymptotic position states.
| 6.789568
| 6.230435
| 6.900642
| 5.451422
| 5.815698
| 5.867987
| 6.244315
| 5.774623
| 5.651462
| 6.586509
| 5.828141
| 5.944656
| 6.198799
| 5.815671
| 5.863214
| 5.863518
| 5.907013
| 5.883868
| 6.104394
| 6.421048
| 6.161256
|
hep-th/9809161
|
Lee Smolin
|
Stuart Kauffman and Lee Smolin
|
Combinatorial dynamics in quantum gravity
|
LaTeX, 23 pages, 2 figures
|
Lect.Notes Phys. 541 (2000) 101-129
| null | null |
hep-th cond-mat.stat-mech gr-qc
| null |
We describe the application of methods from the study of discrete dynanmical
systems to the problem of the continuum limit of evolving spin networks. These
have been found to describe the small scale structure of quantum general
relativity and extensions of them have been conjectured to give background
independent formulations of string theory. We explain why the the usual
equilibrium critical phenomena may not be relevant for the problem of the
continuum limit of such theories and why, instead, the continuum limits of such
theories are likely to be governed by non-equilibrium critical phenomena such
as directed percolation. The fact that such non-equilibrium critical phenomena
can be self-organized implies the possibility that the classical limit of
quantum theories of gravity may exist without fine tuning of parameters.
|
[
{
"created": "Tue, 22 Sep 1998 00:17:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kauffman",
"Stuart",
""
],
[
"Smolin",
"Lee",
""
]
] |
We describe the application of methods from the study of discrete dynanmical systems to the problem of the continuum limit of evolving spin networks. These have been found to describe the small scale structure of quantum general relativity and extensions of them have been conjectured to give background independent formulations of string theory. We explain why the the usual equilibrium critical phenomena may not be relevant for the problem of the continuum limit of such theories and why, instead, the continuum limits of such theories are likely to be governed by non-equilibrium critical phenomena such as directed percolation. The fact that such non-equilibrium critical phenomena can be self-organized implies the possibility that the classical limit of quantum theories of gravity may exist without fine tuning of parameters.
| 9.302882
| 9.608529
| 9.458709
| 8.889823
| 9.082739
| 9.496517
| 9.568252
| 9.192294
| 9.224413
| 9.484206
| 8.807504
| 8.966975
| 8.773256
| 8.770011
| 9.075052
| 9.131004
| 9.134592
| 8.868819
| 8.762612
| 8.91333
| 8.811263
|
hep-th/0310189
|
Youichi Isozumi
|
Youichi Isozumi, Keisuke Ohashi, and Norisuke Sakai
|
Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
|
26 pages, 15 figures, Typos are corrected
|
JHEP 0311 (2003) 060
|
10.1088/1126-6708/2003/11/060
|
TIT/HEP-510
|
hep-th hep-ph
| null |
A series of exact BPS solutions are found for single and double domain walls
in N=2 supersymmetric (SUSY) QED for finite gauge coupling constants. Vector
fields are found to be massive, although it is localized on the wall. Massless
modes can be assembled into a chiral scalar multiplet of the preserved N=1
SUSY, after an appropriate gauge choice. The low-energy effective Lagrangian
for the massless fields is obtained for the finite gauge coupling. The
inter-wall force is found to be much stronger than the known infinite coupling
case. The previously proposed expansion in inverse powers of the gauge coupling
has pathological oscillations, and does not converge to the correct finite
coupling result.
|
[
{
"created": "Mon, 20 Oct 2003 16:40:12 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Nov 2003 03:32:26 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Isozumi",
"Youichi",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
A series of exact BPS solutions are found for single and double domain walls in N=2 supersymmetric (SUSY) QED for finite gauge coupling constants. Vector fields are found to be massive, although it is localized on the wall. Massless modes can be assembled into a chiral scalar multiplet of the preserved N=1 SUSY, after an appropriate gauge choice. The low-energy effective Lagrangian for the massless fields is obtained for the finite gauge coupling. The inter-wall force is found to be much stronger than the known infinite coupling case. The previously proposed expansion in inverse powers of the gauge coupling has pathological oscillations, and does not converge to the correct finite coupling result.
| 11.480452
| 9.966076
| 10.566279
| 9.416205
| 9.81884
| 10.251087
| 10.160229
| 9.870595
| 10.06192
| 11.040942
| 10.191339
| 10.142829
| 10.364964
| 9.975657
| 10.067863
| 9.788941
| 10.045433
| 9.87574
| 10.020184
| 10.286632
| 9.942953
|
0902.1716
|
Jianxin Lu
|
J. X. Lu, Bo Ning, Ran Wei and Shan-Shan Xu
|
Interaction between two non-threshold bound states
|
32 pages, no figures, minor change and one reference added
|
Phys.Rev.D79:126002,2009
|
10.1103/PhysRevD.79.126002
|
USTC-ICTS-09-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general non-threshold BPS (F, D$_p$) (or (D$_{p - 2}$, D$_p$)) bound state
can be described by a boundary state with a quantized world-volume electric (or
magnetic) flux and is characterized by a pair of integers $(m, n)$. With this,
we calculate explicitly the interaction amplitude between two such
non-threshold bound states with a separation $Y$ when each of the states is
characterized by a pair of integers ($m_i, n_i$) with $i = 1, 2$. With this
result, one can show that the non-degenerate (i.e., $m_i n_i \neq 0$)
interaction is in general attractive for the case of (D$_{p - 2}$, D$_p$) but
this is true and for certain only at large separation for the case of (F,
D$_p$). In either case, this interaction vanishes only if $m_1/ n_1 = m_2/ n_2$
and $n_1 n_2 > 0$. We also study the analytic structure of the corresponding
amplitude and calculate in particular the rate of pair production of open
strings in the case of (F, D$_p$).
|
[
{
"created": "Tue, 10 Feb 2009 18:12:32 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 19:34:34 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Mar 2009 08:54:16 GMT",
"version": "v3"
}
] |
2009-06-30
|
[
[
"Lu",
"J. X.",
""
],
[
"Ning",
"Bo",
""
],
[
"Wei",
"Ran",
""
],
[
"Xu",
"Shan-Shan",
""
]
] |
A general non-threshold BPS (F, D$_p$) (or (D$_{p - 2}$, D$_p$)) bound state can be described by a boundary state with a quantized world-volume electric (or magnetic) flux and is characterized by a pair of integers $(m, n)$. With this, we calculate explicitly the interaction amplitude between two such non-threshold bound states with a separation $Y$ when each of the states is characterized by a pair of integers ($m_i, n_i$) with $i = 1, 2$. With this result, one can show that the non-degenerate (i.e., $m_i n_i \neq 0$) interaction is in general attractive for the case of (D$_{p - 2}$, D$_p$) but this is true and for certain only at large separation for the case of (F, D$_p$). In either case, this interaction vanishes only if $m_1/ n_1 = m_2/ n_2$ and $n_1 n_2 > 0$. We also study the analytic structure of the corresponding amplitude and calculate in particular the rate of pair production of open strings in the case of (F, D$_p$).
| 6.17145
| 5.624649
| 6.618236
| 5.682113
| 5.561738
| 5.67342
| 5.479704
| 5.476111
| 5.494799
| 7.077505
| 5.452281
| 5.576025
| 6.277013
| 5.707204
| 5.640192
| 5.664918
| 5.670993
| 5.741651
| 5.590827
| 5.932041
| 5.625633
|
hep-th/9402116
|
Fis. Teorica. Valladolid.
|
A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander
|
Cayley-Klein Lie Algebras and their Quantum Universal Enveloping
Algebras
|
7 pages, AMS-TEX file, UVA/93-102
|
Non-Associative Algebras and its Applications. Mathematics and its
Applications, vol. 303. Ed: S. Gonzalez, (Springer: Dordrecht), 1994, pp.
17-23
|
10.1007/978-94-011-0990-1_4
| null |
hep-th
| null |
The N-dimensional Cayley-Klein scheme allows the simultaneous description of
$3^N$ geometries (symmetric orthogonal homogeneous spaces) by means of a set of
Lie algebras depending on $N$ real parameters. We present here a quantum
deformation of the Lie algebras generating the groups of motion of the two and
three dimensional Cayley-Klein geometries. This deformation (Hopf algebra
structure) is presented in a compact form by using a formalism developed for
the case of (quasi) free Lie algebras. Their quasitriangularity (i.e., the most
usual way to study the associativity of their dual objects, the quantum groups)
is also discussed.
|
[
{
"created": "Sun, 20 Feb 1994 22:52:00 GMT",
"version": "v1"
}
] |
2019-07-19
|
[
[
"Ballesteros",
"A.",
""
],
[
"Herranz",
"F. J.",
""
],
[
"del Olmo",
"M. A.",
""
],
[
"Santander",
"M.",
""
]
] |
The N-dimensional Cayley-Klein scheme allows the simultaneous description of $3^N$ geometries (symmetric orthogonal homogeneous spaces) by means of a set of Lie algebras depending on $N$ real parameters. We present here a quantum deformation of the Lie algebras generating the groups of motion of the two and three dimensional Cayley-Klein geometries. This deformation (Hopf algebra structure) is presented in a compact form by using a formalism developed for the case of (quasi) free Lie algebras. Their quasitriangularity (i.e., the most usual way to study the associativity of their dual objects, the quantum groups) is also discussed.
| 11.020613
| 11.529351
| 12.386038
| 10.884887
| 13.224276
| 13.04755
| 12.931589
| 11.671384
| 11.369498
| 13.824471
| 10.533884
| 11.186755
| 10.989964
| 10.903142
| 11.314127
| 11.34621
| 11.276761
| 10.921041
| 10.488574
| 11.014212
| 10.445239
|
hep-th/0208205
|
Stephen C. Davis
|
Stephen C. Davis
|
Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
|
4 pages
|
Phys.Rev. D67 (2003) 024030
|
10.1103/PhysRevD.67.024030
|
LPT-ORSAY-02-77
|
hep-th
| null |
In spacetimes of dimension greater than four it is natural to consider higher
order (in R) corrections to the Einstein equations. In this letter generalized
Israel junction conditions for a membrane in such a theory are derived. This is
achieved by generalising the Gibbons-Hawking boundary term. The junction
conditions are applied to simple brane world models, and are compared to the
many contradictory results in the literature.
|
[
{
"created": "Wed, 28 Aug 2002 13:31:14 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 2002 16:42:46 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Dec 2002 14:28:13 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Davis",
"Stephen C.",
""
]
] |
In spacetimes of dimension greater than four it is natural to consider higher order (in R) corrections to the Einstein equations. In this letter generalized Israel junction conditions for a membrane in such a theory are derived. This is achieved by generalising the Gibbons-Hawking boundary term. The junction conditions are applied to simple brane world models, and are compared to the many contradictory results in the literature.
| 9.574349
| 8.838812
| 9.636029
| 9.299278
| 8.582859
| 8.239687
| 7.80443
| 8.0453
| 8.716472
| 9.510982
| 8.396955
| 8.756426
| 8.946057
| 8.550961
| 8.634916
| 8.644243
| 8.642044
| 8.710632
| 8.667228
| 8.660979
| 8.493724
|
1605.08092
|
Eduardo Garc\'ia-Valdecasas Tenreiro
|
Eduardo Garc\'ia-Valdecasas, Angel Uranga
|
On the 3-form formulation of axion potentials from D-brane instantons
|
17 pages. Minor changes
|
J. High Energ. Phys. (2017) 2017: 87
|
10.1007/JHEP02(2017)087
|
IFT-UAM/CSIC-16-049
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The study of axion models and quantum corrections to their potential has
experienced great progress by phrasing the axion potential in terms of a 3-form
field eating up the 2-form field dual to the axion. Such reformulation of the
axion potential has been described for axion monodromy models, and for axion
potentials from non-perturbative gauge dynamics. In this paper we propose a
3-form description of the axion potentials from non-gauge D-brane instantons.
Interestingly, the required 3-form field does not arise in the underlying
geometry, but rather shows up in the KK compactification in the generalized
geometry obtained when the backreaction of the D-brane instanton is taken into
account.
|
[
{
"created": "Wed, 25 May 2016 22:08:29 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2016 09:53:40 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jan 2017 10:24:44 GMT",
"version": "v3"
}
] |
2017-02-23
|
[
[
"García-Valdecasas",
"Eduardo",
""
],
[
"Uranga",
"Angel",
""
]
] |
The study of axion models and quantum corrections to their potential has experienced great progress by phrasing the axion potential in terms of a 3-form field eating up the 2-form field dual to the axion. Such reformulation of the axion potential has been described for axion monodromy models, and for axion potentials from non-perturbative gauge dynamics. In this paper we propose a 3-form description of the axion potentials from non-gauge D-brane instantons. Interestingly, the required 3-form field does not arise in the underlying geometry, but rather shows up in the KK compactification in the generalized geometry obtained when the backreaction of the D-brane instanton is taken into account.
| 8.413115
| 8.989881
| 9.366705
| 8.442608
| 9.001694
| 8.953199
| 9.129313
| 8.378541
| 8.989018
| 9.540295
| 8.447293
| 8.256974
| 8.581826
| 8.117297
| 8.065473
| 7.957498
| 8.5124
| 8.295865
| 8.350352
| 8.520566
| 8.031407
|
1905.00847
|
Praloy Das
|
Praloy Das and Subir Ghosh
|
Note on Morita Inequality for Planar Noncommutative Inverted Oscillator
|
9 pages, 4 figures, Comments are welcome
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A recent conjecture of Morita predicts a lower bound in temperature $T$ of a
chaotic system, $T\geq (\hbar/2\pi)\Lambda$, $\Lambda$ being the Lyapunov
exponent, which was demonstrated for a one dimensional inverse harmonic
oscillator. In the present work we discuss the robustness of this demonstration
in an extended version of the above model, where the inverse harmonic
oscillator lives a in two dimensional noncommutative space. We show that,
without noncommutativity, Morita's conjecture survives in an essentially
unchanged way in two dimensions. However, if noncommutativity is switched on,
the noncommutativity induced correction terms conspire to produce, in classical
framework, a purely oscillating non-chaotic system without any exponential
growth so that Lyapunov exponent is not defined. On the other hand, following
Morita's analysis, we show that quantum mechanically an effective temperature
with noncommutative corrections is generated. Thus Morita's conjecture is not
applicable in the noncommutative plane. A dimensionless parameter $\sigma
=m\alpha\theta^2$, (where $m, \alpha, \theta$ are the particle mass, coupling
strength with inverse oscillator and the noncommutative parameter respectively)
plays a crucial role in our analysis.
|
[
{
"created": "Thu, 2 May 2019 16:47:23 GMT",
"version": "v1"
}
] |
2019-05-03
|
[
[
"Das",
"Praloy",
""
],
[
"Ghosh",
"Subir",
""
]
] |
A recent conjecture of Morita predicts a lower bound in temperature $T$ of a chaotic system, $T\geq (\hbar/2\pi)\Lambda$, $\Lambda$ being the Lyapunov exponent, which was demonstrated for a one dimensional inverse harmonic oscillator. In the present work we discuss the robustness of this demonstration in an extended version of the above model, where the inverse harmonic oscillator lives a in two dimensional noncommutative space. We show that, without noncommutativity, Morita's conjecture survives in an essentially unchanged way in two dimensions. However, if noncommutativity is switched on, the noncommutativity induced correction terms conspire to produce, in classical framework, a purely oscillating non-chaotic system without any exponential growth so that Lyapunov exponent is not defined. On the other hand, following Morita's analysis, we show that quantum mechanically an effective temperature with noncommutative corrections is generated. Thus Morita's conjecture is not applicable in the noncommutative plane. A dimensionless parameter $\sigma =m\alpha\theta^2$, (where $m, \alpha, \theta$ are the particle mass, coupling strength with inverse oscillator and the noncommutative parameter respectively) plays a crucial role in our analysis.
| 8.730906
| 9.158401
| 8.807185
| 8.108802
| 9.542479
| 8.838243
| 9.331276
| 8.372496
| 8.076858
| 9.451715
| 8.89027
| 8.46401
| 8.373715
| 8.206414
| 8.092706
| 8.239887
| 8.556664
| 8.240123
| 8.483621
| 8.613064
| 8.26963
|
1308.4798
|
Tsutomu Kobayashi
|
Tsutomu Kobayashi, Norihiro Tanahashi, Masahide Yamaguchi
|
Multi-field G-inflation
|
12 pages; v2: version accepted for publication in PRD
|
Phys. Rev. D 88, 083504 (2013)
|
10.1103/PhysRevD.88.083504
|
RUP-13-7, IPMU13-0158
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a multi-field extension of (generalized) G-inflation, based on
covariant multi-galileons and their generalization preserving second-order
field equations. We compute the quadratic action for cosmological
perturbations. By comparing the formulas for cosmological perturbations, it is
highlighted that multi-field DBI galileon inflation is not included in the
multi-field version of generalized G-inflation. Our result indicates that the
generalized covariant multi-galileon theory is not the most general
multi-scalar-tensor theory with second-order field equations.
|
[
{
"created": "Thu, 22 Aug 2013 09:09:27 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 2013 07:33:29 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Kobayashi",
"Tsutomu",
""
],
[
"Tanahashi",
"Norihiro",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] |
We propose a multi-field extension of (generalized) G-inflation, based on covariant multi-galileons and their generalization preserving second-order field equations. We compute the quadratic action for cosmological perturbations. By comparing the formulas for cosmological perturbations, it is highlighted that multi-field DBI galileon inflation is not included in the multi-field version of generalized G-inflation. Our result indicates that the generalized covariant multi-galileon theory is not the most general multi-scalar-tensor theory with second-order field equations.
| 7.675221
| 7.835183
| 8.412027
| 6.897391
| 7.053333
| 7.218014
| 8.141685
| 6.777905
| 7.362498
| 8.31917
| 7.633859
| 7.403213
| 7.71966
| 7.28655
| 7.458897
| 7.362152
| 7.750253
| 7.340982
| 7.594011
| 7.793523
| 7.532284
|
hep-th/0312222
|
Amihay Hanany
|
Sebastian Franco, Amihay Hanany and Yang-Hui He
|
A Trio of Dualities: Walls, Trees and Cascades
|
10 pages, 13 figures, Submitted to "Fortschritte der Physik" as part
of the proceedings of the "36th International Symposium Ahrenshoop on the
Theory of Elementary Particles," Berlin, August 26-30, 2003, and based on
talks given by A. Hanany in Berlin and The University of Pennsylvannia,
Philadelphia
|
Fortsch.Phys. 52 (2004) 540-547
|
10.1002/prop.200310142
|
MIT-CTP-3456, UPR-1060-T
|
hep-th
| null |
We study the RG flow of N=1 world-volume gauge theories of D3-brane probes on
certain singular Calabi-Yau threefolds. Taking the gauge theories out of
conformality by introducing fractional branes, we compute the NSVZ
beta-function and follow the subsequent RG flow in the cascading manner of
Klebanov-Strassler. We study the duality trees that blossom from various
Seiberg dualities and encode possible cascades. We observe the appearance of
duality walls, a finite limit energy scale in the UV beyond which the
dualization cascade cannot proceed. Diophantine equations of the Markov type
characterize the dual phases of these theories. We discuss how the
classification of Markov equations for different geometries into families
relates the RG flows of the corresponding gauge theories.
|
[
{
"created": "Thu, 18 Dec 2003 06:31:36 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Dec 2003 23:43:47 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Franco",
"Sebastian",
""
],
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
]
] |
We study the RG flow of N=1 world-volume gauge theories of D3-brane probes on certain singular Calabi-Yau threefolds. Taking the gauge theories out of conformality by introducing fractional branes, we compute the NSVZ beta-function and follow the subsequent RG flow in the cascading manner of Klebanov-Strassler. We study the duality trees that blossom from various Seiberg dualities and encode possible cascades. We observe the appearance of duality walls, a finite limit energy scale in the UV beyond which the dualization cascade cannot proceed. Diophantine equations of the Markov type characterize the dual phases of these theories. We discuss how the classification of Markov equations for different geometries into families relates the RG flows of the corresponding gauge theories.
| 14.222006
| 12.701174
| 17.277735
| 13.390882
| 13.441401
| 13.094324
| 12.975612
| 13.486691
| 13.108105
| 18.104713
| 12.954385
| 13.654954
| 15.245577
| 13.673245
| 13.581187
| 13.704882
| 13.372281
| 13.260975
| 13.654029
| 14.920622
| 13.31288
|
1012.4353
|
John Ellis
|
John Ellis and Nick E. Mavromatos
|
On the Interpretation of Gravitational Corrections to Gauge Couplings
|
4 pages
| null |
10.1016/j.physletb.2012.04.005
|
CERN-PH-TH/2010-302, KCL-PH-TH/2010-35
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Several recent papers discuss gravitational corrections to gauge couplings
that depend quadratically on the energy. In the framework of the
background-field approach, these correspond in general to adding to the
effective action terms quadratic in the field strength but with higher-order
space-time derivatives. We observe that such terms can be removed by
appropriate local field redefinitions, and do not contribute to physical
scattering-matrix elements. We illustrate this observation in the context of
open string theory, where the effective action includes, among other terms, the
well-known Born-Infeld form of non-linear electrodynamics. We conclude that the
quadratically energy-dependent gravitational corrections are \emph{not}
physical in the sense of contributing to the running of a physically-measurable
gauge coupling, or of unifying couplings as in string theory.
|
[
{
"created": "Mon, 20 Dec 2010 15:20:18 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Ellis",
"John",
""
],
[
"Mavromatos",
"Nick E.",
""
]
] |
Several recent papers discuss gravitational corrections to gauge couplings that depend quadratically on the energy. In the framework of the background-field approach, these correspond in general to adding to the effective action terms quadratic in the field strength but with higher-order space-time derivatives. We observe that such terms can be removed by appropriate local field redefinitions, and do not contribute to physical scattering-matrix elements. We illustrate this observation in the context of open string theory, where the effective action includes, among other terms, the well-known Born-Infeld form of non-linear electrodynamics. We conclude that the quadratically energy-dependent gravitational corrections are \emph{not} physical in the sense of contributing to the running of a physically-measurable gauge coupling, or of unifying couplings as in string theory.
| 9.579413
| 8.872035
| 9.372453
| 8.798594
| 9.855706
| 9.444035
| 9.55977
| 9.139372
| 8.728254
| 10.039192
| 8.793335
| 9.460184
| 9.158009
| 8.995541
| 9.261591
| 9.745894
| 9.100564
| 9.385772
| 9.203759
| 9.157799
| 9.5631
|
1309.3179
|
Leila Shahkarami
|
Leila Shahkarami and Siamak S. Gousheh
|
Exact Solutions of a Fermion-Soliton System in Two Dimensions
|
13 pages, 9 figures. arXiv admin note: text overlap with
arXiv:1210.7233 by other authors
|
JHEP06(2011)116
|
10.1007/JHEP06(2011)116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a coupled system of a Dirac particle and a pseudoscalar field
in the form of a soliton in (1+1) dimensions and find some of its exact
solutions numerically.
We solve the coupled set of equations self-consistently and
non-perturbatively by the use of a numerical method and obtain the bound states
of the fermion and the shape of the soliton. That is the shape of the static
soliton in this problem is not prescribed and is determined by the equations
themselves. This work goes beyond the perturbation theory in which the back
reaction of the fermion on soliton is its first order correction. We compare
our results to those of an exactly solvable model in which the soliton is
prescribed. We show that, as expected, the total energy of our system is lower
than the prescribed one. We also compute non-perturbatively the vacuum
polarization of the fermion induced by the presence of the soliton and display
the results. Moreover, we compute the soliton mass as a function of the boson
and fermion masses and find that the results are consistent with Skyrme's
phenomenological conjecture. Finally, we show that for fixed values of the
parameters, the shape of the soliton obtained from our exact solutions depends
slightly on the fermionic state to which it is coupled. However, the exact
shape of the soliton is always very close to the isolated kink.
|
[
{
"created": "Thu, 12 Sep 2013 14:56:58 GMT",
"version": "v1"
}
] |
2013-09-13
|
[
[
"Shahkarami",
"Leila",
""
],
[
"Gousheh",
"Siamak S.",
""
]
] |
We investigate a coupled system of a Dirac particle and a pseudoscalar field in the form of a soliton in (1+1) dimensions and find some of its exact solutions numerically. We solve the coupled set of equations self-consistently and non-perturbatively by the use of a numerical method and obtain the bound states of the fermion and the shape of the soliton. That is the shape of the static soliton in this problem is not prescribed and is determined by the equations themselves. This work goes beyond the perturbation theory in which the back reaction of the fermion on soliton is its first order correction. We compare our results to those of an exactly solvable model in which the soliton is prescribed. We show that, as expected, the total energy of our system is lower than the prescribed one. We also compute non-perturbatively the vacuum polarization of the fermion induced by the presence of the soliton and display the results. Moreover, we compute the soliton mass as a function of the boson and fermion masses and find that the results are consistent with Skyrme's phenomenological conjecture. Finally, we show that for fixed values of the parameters, the shape of the soliton obtained from our exact solutions depends slightly on the fermionic state to which it is coupled. However, the exact shape of the soliton is always very close to the isolated kink.
| 6.812444
| 6.717107
| 7.022629
| 6.536286
| 6.662613
| 6.574614
| 6.955895
| 7.022202
| 6.516871
| 7.184367
| 6.543577
| 6.787176
| 6.944678
| 6.674937
| 6.603144
| 6.636584
| 6.656023
| 6.547552
| 6.581466
| 6.762423
| 6.591264
|
2002.09813
|
Shengmao Zhu
|
Shengmao Zhu
|
Integrality structures in topological strings and quantum $2$-functions
| null | null | null | null |
hep-th math-ph math.MP math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we first prove the integrality of open string BPS numbers
for a class of toric Calabi-Yau manifolds named generalized conifolds, by
applying the method introduced in our previous work \cite{LZ} to the explicit
disk counting formula obtained in \cite{PS}. Then, motivated by the integrality
structures in open topological string theory, we introduce a mathematical
notion of ``quantum 2-function'' which can be viewed as the quantization of the
notion of ``2-function'' introduced in \cite{SVW1}. Finally, we provide a basic
example of quantum 2-function and discuss the quantization of 2-functions.
|
[
{
"created": "Sun, 23 Feb 2020 03:07:50 GMT",
"version": "v1"
}
] |
2020-02-25
|
[
[
"Zhu",
"Shengmao",
""
]
] |
In this article, we first prove the integrality of open string BPS numbers for a class of toric Calabi-Yau manifolds named generalized conifolds, by applying the method introduced in our previous work \cite{LZ} to the explicit disk counting formula obtained in \cite{PS}. Then, motivated by the integrality structures in open topological string theory, we introduce a mathematical notion of ``quantum 2-function'' which can be viewed as the quantization of the notion of ``2-function'' introduced in \cite{SVW1}. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions.
| 7.321187
| 7.19915
| 8.211949
| 6.867613
| 7.675852
| 7.973047
| 7.455631
| 7.651449
| 7.737803
| 8.087982
| 7.255349
| 6.951508
| 7.100908
| 6.930753
| 6.603178
| 6.839328
| 6.882303
| 6.824472
| 6.897164
| 7.164587
| 6.935738
|
hep-th/0409056
|
Fotini Markopoulou Kalamara
|
Olaf Dreyer, Fotini Markopoulou and Lee Smolin
|
Symmetry and entropy of black hole horizons
|
17 pages, 1 figure, some criticisms of the result are answered
|
Nucl.Phys. B744 (2006) 1-13
|
10.1016/j.nuclphysb.2006.02.045
| null |
hep-th gr-qc
| null |
We argue, using methods taken from the theory of noiseless subsystems in
quantum information theory, that the quantum states associated with a
Schwarzchild black hole live in the restricted subspace of the Hilbert space of
horizon boundary states in which all punctures are equal. Consequently, one
value of the Immirzi parameter matches both the Hawking value for the entropy
and the quasi normal mode spectrum of the Schwarzchild black hole. The method
of noiseless subsystems thus allows us to understand, in this example and more
generally, how symmetries, which take physical states to physical states, can
emerge from a diffeomorphism invariant formulation of quantum gravity.
|
[
{
"created": "Sun, 5 Sep 2004 20:40:13 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Nov 2004 22:56:48 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Aug 2005 18:26:19 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Dreyer",
"Olaf",
""
],
[
"Markopoulou",
"Fotini",
""
],
[
"Smolin",
"Lee",
""
]
] |
We argue, using methods taken from the theory of noiseless subsystems in quantum information theory, that the quantum states associated with a Schwarzchild black hole live in the restricted subspace of the Hilbert space of horizon boundary states in which all punctures are equal. Consequently, one value of the Immirzi parameter matches both the Hawking value for the entropy and the quasi normal mode spectrum of the Schwarzchild black hole. The method of noiseless subsystems thus allows us to understand, in this example and more generally, how symmetries, which take physical states to physical states, can emerge from a diffeomorphism invariant formulation of quantum gravity.
| 11.555769
| 13.984897
| 11.931295
| 11.862546
| 12.304461
| 11.301356
| 15.550321
| 11.831897
| 11.770403
| 12.505762
| 12.290675
| 11.632536
| 11.387686
| 11.280383
| 11.462317
| 10.861525
| 11.529392
| 11.211432
| 11.459105
| 11.238624
| 11.036952
|
0901.4250
|
Wieland Staessens
|
Alexander Sevrin, Wieland Staessens, Alexander Wijns
|
N=2 world-sheet approach to D-branes on generalized Kaehler geometries:
II. Dualities
|
7 pages, contribution to the proceedings of the Fourth Workshop of
the RTN project 'Constituents, Fundamental Forces and Symmetries of the
Universe', Varna, September 11 - 17, 2008; some typos corrected
|
Fortschr.Phys.57:691-697,2009
|
10.1002/prop.200900028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the general formalism reviewed in 0810.5355 [hep-th] we present
several examples of possible D3-brane configurations on four-dimensional
generalized Kaehler geometries. We will discuss T-duality transformations in N
= 2 boundary superspace and apply the duality transformations to the
constructed D3-branes. The duality transformations lead to a systematic method
to construct coisotropic branes, even on target spaces that are not
hyper-Kaehler.
|
[
{
"created": "Tue, 27 Jan 2009 13:43:19 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jun 2009 09:52:05 GMT",
"version": "v2"
}
] |
2009-06-02
|
[
[
"Sevrin",
"Alexander",
""
],
[
"Staessens",
"Wieland",
""
],
[
"Wijns",
"Alexander",
""
]
] |
Following the general formalism reviewed in 0810.5355 [hep-th] we present several examples of possible D3-brane configurations on four-dimensional generalized Kaehler geometries. We will discuss T-duality transformations in N = 2 boundary superspace and apply the duality transformations to the constructed D3-branes. The duality transformations lead to a systematic method to construct coisotropic branes, even on target spaces that are not hyper-Kaehler.
| 15.899517
| 11.830466
| 13.343981
| 12.042387
| 11.658281
| 12.104104
| 13.488789
| 11.662313
| 11.793299
| 15.842377
| 11.610336
| 12.13837
| 13.690238
| 12.468838
| 12.71982
| 12.657767
| 13.30397
| 12.692969
| 12.949391
| 13.991282
| 12.89441
|
hep-th/0311220
|
Yukiko Konishi
|
Yukiko Konishi and Kazuhiro Sakai
|
Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting
|
22 pages, 2 figures; (v2) typos corrected
|
Nucl.Phys. B682 (2004) 465-483
|
10.1016/j.nuclphysb.2004.01.021
|
UT/03-36
|
hep-th
| null |
We study the asymptotic form of the Gopakumar-Vafa invariants at all genera
for Calabi-Yau toric threefolds which have the structure of fibration of the
A_n singularity over P^1. We claim that the asymptotic form is the inverse
Laplace transform of the corresponding instanton amplitude in the prepotential
of N=2 SU(n+1) gauge theory coupled to external graviphoton fields, which is
given by the logarithm of the Nekrasov's partition function.
|
[
{
"created": "Sun, 23 Nov 2003 07:04:59 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 2003 11:19:12 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Konishi",
"Yukiko",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] |
We study the asymptotic form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1. We claim that the asymptotic form is the inverse Laplace transform of the corresponding instanton amplitude in the prepotential of N=2 SU(n+1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov's partition function.
| 7.457009
| 6.281832
| 8.704789
| 6.427615
| 6.465282
| 6.681322
| 6.780527
| 6.371334
| 6.092384
| 8.991934
| 6.415051
| 6.744879
| 7.364228
| 6.523794
| 6.491724
| 6.668412
| 6.550578
| 6.494992
| 6.691765
| 7.294719
| 6.542319
|
hep-th/9705141
|
Sumathi Rao
|
Ranjan K. Ghosh and Sumathi Rao
|
Exactly Solvable Models in Arbitrary Dimensions
|
12 pages, Latex, no figures
|
Phys.Lett. A238 (1998) 213-218
|
10.1016/S0375-9601(97)00826-8
|
MRI-PHY/P9704009
|
hep-th cond-mat nlin.SI solv-int
| null |
We construct a new class of quasi-exactly solvable many-body Hamiltonians in
arbitrary dimensions, whose ground states can have any correlations we choose.
Some of the known correlations in one dimension and some recent novel
correlations in two and higher dimensions are reproduced as special cases. As
specific interesting examples, we also write down some new models in two and
higher dimensions with novel correlations.
|
[
{
"created": "Tue, 20 May 1997 08:24:23 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Ghosh",
"Ranjan K.",
""
],
[
"Rao",
"Sumathi",
""
]
] |
We construct a new class of quasi-exactly solvable many-body Hamiltonians in arbitrary dimensions, whose ground states can have any correlations we choose. Some of the known correlations in one dimension and some recent novel correlations in two and higher dimensions are reproduced as special cases. As specific interesting examples, we also write down some new models in two and higher dimensions with novel correlations.
| 10.888578
| 12.688865
| 13.092235
| 10.279411
| 10.997821
| 10.405279
| 10.941998
| 11.165639
| 11.068432
| 12.767875
| 10.437697
| 10.179132
| 11.594659
| 10.680073
| 10.329662
| 10.390439
| 10.965776
| 10.972806
| 10.574053
| 11.951832
| 10.516338
|
hep-th/9911159
|
Gino Novalis Janampa Ananos
|
G.N.J.A\~na\~nos, N.F.Svaiter (CBPF)
|
The Composite Operator (CJT) Formalism in the
$(\lambda\phi^4+\eta\phi^{6})_{D=3}$ Model at Finite Temperature
|
15 pages, 2 eps figures, uses epsf.sty
|
Mod.Phys.Lett. A15 (2000) 2235-2244
|
10.1142/S0217732300002826
| null |
hep-th
| null |
We discuss three-dimensional $ \lambda\phi^4+\eta\phi^6 $ theory in the
context of the 1/N expansion at finite temperature. We use the method of the
composite operator (CJT) for summing a large sets of Feynman graphs. We analyse
the behavior of the thermal square mass and the thermal coupling constant in
the low and high temperature limit. The existent of the tricritical point at
some temperature is found using this non-pertubative method.
|
[
{
"created": "Fri, 19 Nov 1999 21:10:53 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Añaños",
"G. N. J.",
"",
"CBPF"
],
[
"Svaiter",
"N. F.",
"",
"CBPF"
]
] |
We discuss three-dimensional $ \lambda\phi^4+\eta\phi^6 $ theory in the context of the 1/N expansion at finite temperature. We use the method of the composite operator (CJT) for summing a large sets of Feynman graphs. We analyse the behavior of the thermal square mass and the thermal coupling constant in the low and high temperature limit. The existent of the tricritical point at some temperature is found using this non-pertubative method.
| 11.390352
| 9.297658
| 10.362974
| 9.01886
| 9.080992
| 8.958389
| 9.162234
| 9.858033
| 9.315213
| 10.887873
| 9.902828
| 10.461826
| 10.613298
| 10.454825
| 10.895104
| 10.616482
| 10.394831
| 10.714503
| 10.156017
| 10.506886
| 10.405528
|
1603.07307
|
Andreas Stergiou
|
Hugh Osborn, Andreas Stergiou
|
$C_T$ for Non-unitary CFTs in Higher Dimensions
|
19 pages. v2: References added, discussion expanded, typos fixed. v3:
Note added including a derivation of eq. (2.13). v4: Minor clarifications,
version to appear in JHEP
| null |
10.1007/JHEP06(2016)079
|
DAMTP 2016/25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The coefficient $C_T$ of the conformal energy-momentum tensor two-point
function is determined for the non-unitary scalar CFTs with four- and
six-derivative kinetic terms. The results match those expected from large-$N$
calculations for the CFTs arising from the $O(N)$ non-linear sigma and
Gross-Neveu models in specific even dimensions. $C_T$ is also calculated for
the CFT arising from $(n-1)$-form gauge fields with derivatives in $2n+2$
dimensions. Results for $(n-1)$-form theory extended to general dimensions as a
non-gauge-invariant CFT are also obtained; the resulting $C_T$ differs from
that for the gauge-invariant theory. The construction of conformal primaries by
subtracting descendants of lower-dimension primaries is also discussed. For
free theories this also leads to an alternative construction of the
energy-momentum tensor, which can be quite involved for higher-derivative
theories.
|
[
{
"created": "Wed, 23 Mar 2016 19:12:13 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2016 13:59:05 GMT",
"version": "v2"
},
{
"created": "Wed, 4 May 2016 16:51:07 GMT",
"version": "v3"
},
{
"created": "Tue, 14 Jun 2016 15:49:39 GMT",
"version": "v4"
}
] |
2016-06-29
|
[
[
"Osborn",
"Hugh",
""
],
[
"Stergiou",
"Andreas",
""
]
] |
The coefficient $C_T$ of the conformal energy-momentum tensor two-point function is determined for the non-unitary scalar CFTs with four- and six-derivative kinetic terms. The results match those expected from large-$N$ calculations for the CFTs arising from the $O(N)$ non-linear sigma and Gross-Neveu models in specific even dimensions. $C_T$ is also calculated for the CFT arising from $(n-1)$-form gauge fields with derivatives in $2n+2$ dimensions. Results for $(n-1)$-form theory extended to general dimensions as a non-gauge-invariant CFT are also obtained; the resulting $C_T$ differs from that for the gauge-invariant theory. The construction of conformal primaries by subtracting descendants of lower-dimension primaries is also discussed. For free theories this also leads to an alternative construction of the energy-momentum tensor, which can be quite involved for higher-derivative theories.
| 7.347054
| 7.149249
| 8.558692
| 6.982709
| 6.874696
| 7.206161
| 6.852228
| 7.430992
| 6.670347
| 7.941098
| 6.536635
| 6.819086
| 7.712447
| 6.810711
| 6.750188
| 6.59296
| 6.834267
| 6.928123
| 6.842836
| 7.635335
| 6.730796
|
2106.04581
|
Valentin Reys
|
Nikolay Bobev, Anthony M. Charles, Kiril Hristov, Valentin Reys
|
Higher-Derivative Supergravity, AdS$_4$ Holography, and Black Holes
|
98 pages; v2: clarifications and details added, accepted for
publication in JHEP
| null |
10.1007/JHEP08(2021)173
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use conformal supergravity techniques to study four-derivative corrections
in four-dimensional gauged supergravity. We show that the four-derivative
Lagrangian for the propagating degrees of freedom of the $\mathcal{N}=2$
gravity multiplet is determined by two real dimensionless constants. We
demonstrate that all solutions of the two-derivative equations of motion in the
supergravity theory also solve the four-derivative equations of motion. These
results are then applied to explicitly calculate the regularized on-shell
action for any asymptotically locally AdS$_4$ solution of the two-derivative
equations of motion. The four-derivative terms in the supergravity Lagrangian
modify the entropy and other thermodynamic observables for the black hole
solutions of the theory. We calculate these corrections explicitly and
demonstrate that the quantum statistical relation holds for general stationary
black holes in the presence of the four-derivative corrections. Employing an
embedding of this supergravity model in M-theory we show how to use
supersymmetric localization results in the holographically dual
three-dimensional SCFT to determine the unknown coefficients in the
four-derivative supergravity action. This in turn leads to new detailed results
for the first subleading $N^{\frac{1}{2}}$ correction to the large $N$
partition function of a class of three-dimensional SCFTs on compact Euclidean
manifolds. In addition, we calculate explicitly the first subleading correction
to the Bekenstein-Hawking entropy of asymptotically AdS$_4$ black holes in
M-theory. We also discuss how to add matter multiplets to the supergravity
theory in the presence of four-derivative terms and to generalize some of these
results to six- and higher-derivative supergravity.
|
[
{
"created": "Tue, 8 Jun 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2021 09:04:41 GMT",
"version": "v2"
}
] |
2023-02-22
|
[
[
"Bobev",
"Nikolay",
""
],
[
"Charles",
"Anthony M.",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Reys",
"Valentin",
""
]
] |
We use conformal supergravity techniques to study four-derivative corrections in four-dimensional gauged supergravity. We show that the four-derivative Lagrangian for the propagating degrees of freedom of the $\mathcal{N}=2$ gravity multiplet is determined by two real dimensionless constants. We demonstrate that all solutions of the two-derivative equations of motion in the supergravity theory also solve the four-derivative equations of motion. These results are then applied to explicitly calculate the regularized on-shell action for any asymptotically locally AdS$_4$ solution of the two-derivative equations of motion. The four-derivative terms in the supergravity Lagrangian modify the entropy and other thermodynamic observables for the black hole solutions of the theory. We calculate these corrections explicitly and demonstrate that the quantum statistical relation holds for general stationary black holes in the presence of the four-derivative corrections. Employing an embedding of this supergravity model in M-theory we show how to use supersymmetric localization results in the holographically dual three-dimensional SCFT to determine the unknown coefficients in the four-derivative supergravity action. This in turn leads to new detailed results for the first subleading $N^{\frac{1}{2}}$ correction to the large $N$ partition function of a class of three-dimensional SCFTs on compact Euclidean manifolds. In addition, we calculate explicitly the first subleading correction to the Bekenstein-Hawking entropy of asymptotically AdS$_4$ black holes in M-theory. We also discuss how to add matter multiplets to the supergravity theory in the presence of four-derivative terms and to generalize some of these results to six- and higher-derivative supergravity.
| 4.905012
| 4.740036
| 5.405727
| 4.716063
| 4.786347
| 4.963904
| 4.967112
| 4.659546
| 4.910266
| 5.783451
| 4.777565
| 4.745048
| 5.03293
| 4.842107
| 4.886273
| 4.789001
| 4.926998
| 4.79385
| 4.749906
| 4.961986
| 4.829233
|
hep-th/0506048
|
Sciarrino Antonino
|
L. A. Forte, A. Sciarrino
|
Standard and Non-standard Extensions of Lie algebras
|
Revised version. Inaccurate statements corrected. Expanded version
with added references
|
J.Math.Phys. 47 (2006) 013513
|
10.1063/1.2162128
|
DSF-12/05
|
hep-th
| null |
We study the problem of quadruple extensions of simple Lie algebras. We find
that, adding a new simple root $\alpha_{+4}$, it is not possible to have an
extended Kac-Moody algebra described by a Dynkin-Kac diagram with simple links
and no loops between the dots, while it is possible if $\alpha_{+4}$ is a
Borcherds imaginary simple root. We also comment on the root lattices of these
new algebras. The folding procedure is applied to the simply-laced triple
extended Lie algebras, obtaining all the non-simply laced ones. Non- standard
extension procedures for a class of Lie algebras are proposed. It is shown that
the 2-extensions of $E_{8}$, with a dot simply linked to the Dynkin-Kac diagram
of $E_{9}$, are rank 10 subalgebras of $E_{10}$. Finally the simple root
systems of a set of rank 11 subalgebras of $E_{11}$, containing as sub-algebra
$E_{10}$, are explicitly written.
|
[
{
"created": "Mon, 6 Jun 2005 13:16:10 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2005 08:55:42 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Oct 2005 15:39:08 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Forte",
"L. A.",
""
],
[
"Sciarrino",
"A.",
""
]
] |
We study the problem of quadruple extensions of simple Lie algebras. We find that, adding a new simple root $\alpha_{+4}$, it is not possible to have an extended Kac-Moody algebra described by a Dynkin-Kac diagram with simple links and no loops between the dots, while it is possible if $\alpha_{+4}$ is a Borcherds imaginary simple root. We also comment on the root lattices of these new algebras. The folding procedure is applied to the simply-laced triple extended Lie algebras, obtaining all the non-simply laced ones. Non- standard extension procedures for a class of Lie algebras are proposed. It is shown that the 2-extensions of $E_{8}$, with a dot simply linked to the Dynkin-Kac diagram of $E_{9}$, are rank 10 subalgebras of $E_{10}$. Finally the simple root systems of a set of rank 11 subalgebras of $E_{11}$, containing as sub-algebra $E_{10}$, are explicitly written.
| 7.966144
| 8.341697
| 7.81145
| 7.691011
| 8.499777
| 8.481579
| 8.284019
| 8.280108
| 7.748531
| 8.469954
| 7.901385
| 7.993099
| 7.750789
| 7.499498
| 7.426968
| 7.758939
| 7.522574
| 7.488208
| 7.430751
| 8.138699
| 7.387175
|
hep-th/9710078
|
Boris Pioline
|
B.Pioline and E.Kiritsis
|
U-duality and D-brane Combinatorics
|
17 pages, LaTeX2e, intro. shortened and minor typos corrected, final
version
|
Phys.Lett. B418 (1998) 61-69
|
10.1016/S0370-2693(97)01398-1
|
CERN-TH/97-272, CPTH-S563.1097
|
hep-th
| null |
We investigate D-brane instanton contributions to R^4 couplings in any
toroidal compactification of type II theories. Starting from the 11D
supergravity one-loop four-graviton amplitude computed by Green, Gutperle and
Vanhove, we derive the non-perturbative O(e^{-1/\lambda}) corrections to R^4
couplings by a sequence of T-dualities, and interpret them as precise
configurations of bound states of D-branes wrapping cycles of the
compactification torus. Dp-branes explicitely appear as fluxes on
D(p+2)-branes, and as gauge instantons on D(p+4)-branes. Specific rules for
weighting these contributions are obtained, which should carry over to more
general situations. Furthermore, it is shown that U-duality in D<=6 relates
these D-brane configurations to O(e^{-1/\lambda^2}) instantons for which a
geometric interpretation is still lacking.
|
[
{
"created": "Wed, 8 Oct 1997 22:17:40 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 1997 07:44:32 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Pioline",
"B.",
""
],
[
"Kiritsis",
"E.",
""
]
] |
We investigate D-brane instanton contributions to R^4 couplings in any toroidal compactification of type II theories. Starting from the 11D supergravity one-loop four-graviton amplitude computed by Green, Gutperle and Vanhove, we derive the non-perturbative O(e^{-1/\lambda}) corrections to R^4 couplings by a sequence of T-dualities, and interpret them as precise configurations of bound states of D-branes wrapping cycles of the compactification torus. Dp-branes explicitely appear as fluxes on D(p+2)-branes, and as gauge instantons on D(p+4)-branes. Specific rules for weighting these contributions are obtained, which should carry over to more general situations. Furthermore, it is shown that U-duality in D<=6 relates these D-brane configurations to O(e^{-1/\lambda^2}) instantons for which a geometric interpretation is still lacking.
| 6.850726
| 6.35433
| 9.514221
| 6.285617
| 6.816659
| 6.379583
| 6.688173
| 6.709921
| 6.526123
| 9.540772
| 6.387486
| 6.644255
| 7.320596
| 6.49974
| 6.74413
| 6.565886
| 6.388841
| 6.523167
| 6.511466
| 7.576596
| 6.565865
|
1010.2424
|
Konstadinos Siampos
|
Konstadinos Siampos
|
String theory applications in gravitational problems and gauge theories
|
Ph.D. Thesis [in Greek]. Advisor: Professor Konstadinos Sfetsos. 126
pages. 35 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this dissertation, we review the study of quark and monopole bound-state
potentials within the gauge/gravity correspondence. Their behaviors often
differ from what is expected on general physical grounds and field-theory
considerations. We identify the configurations of physical interest by
examining the stability of the string (brane) solutions dual to the flux tubes
between the bound states. In particular, we formulate and prove several general
statements concerning the perturbative stability of such string (brane)
solutions, relevant for these configurations in a general class of backgrounds.
We apply the results to N = 4 SYM and N = 1 at finite temperature and at
generic points of the Coulomb branch. In all cases, the problematic regions are
found to be unstable and hence physically irrelevant.
|
[
{
"created": "Tue, 12 Oct 2010 15:37:21 GMT",
"version": "v1"
}
] |
2010-10-13
|
[
[
"Siampos",
"Konstadinos",
""
]
] |
In this dissertation, we review the study of quark and monopole bound-state potentials within the gauge/gravity correspondence. Their behaviors often differ from what is expected on general physical grounds and field-theory considerations. We identify the configurations of physical interest by examining the stability of the string (brane) solutions dual to the flux tubes between the bound states. In particular, we formulate and prove several general statements concerning the perturbative stability of such string (brane) solutions, relevant for these configurations in a general class of backgrounds. We apply the results to N = 4 SYM and N = 1 at finite temperature and at generic points of the Coulomb branch. In all cases, the problematic regions are found to be unstable and hence physically irrelevant.
| 12.20809
| 12.731356
| 12.393494
| 12.388391
| 13.337717
| 12.484617
| 12.017843
| 11.841977
| 11.547932
| 13.529232
| 11.730982
| 11.928438
| 12.271113
| 12.068025
| 12.048024
| 12.130747
| 12.195955
| 12.028389
| 11.897864
| 11.686294
| 12.019657
|
0905.1446
|
Sho Tanaka
|
Sho Tanaka
|
Holographic Relation in Yang's Quantized Space-Time Algebra and
Area-Entropy Relation in $D_0$ Brane Gas System
|
16 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the preceding paper, we derived a kind of kinematical holographic relation
(KHR) in the Lorentz-covariant Yang's quantized space-time algebra (YSTA). It
essentially reflects the fundamental nature of the noncommutative geometry of
YSTA and its representation, that is, a definite kinematical reduction of
spatial degrees of freedom in comparison with the ordinary lattice space. On
the basis of the relation and its extension to various spatial dimensions, we
derive a new area-entropy relation in a simple $D_0$ brane gas system subject
to YSTA, following the idea of M-theory. Furthermore, we make clear its inner
relation with the Bekenstein-Hawking area-entropy relation in connection with
Schwarzschild black hole.
|
[
{
"created": "Sun, 10 May 2009 04:13:43 GMT",
"version": "v1"
}
] |
2009-05-12
|
[
[
"Tanaka",
"Sho",
""
]
] |
In the preceding paper, we derived a kind of kinematical holographic relation (KHR) in the Lorentz-covariant Yang's quantized space-time algebra (YSTA). It essentially reflects the fundamental nature of the noncommutative geometry of YSTA and its representation, that is, a definite kinematical reduction of spatial degrees of freedom in comparison with the ordinary lattice space. On the basis of the relation and its extension to various spatial dimensions, we derive a new area-entropy relation in a simple $D_0$ brane gas system subject to YSTA, following the idea of M-theory. Furthermore, we make clear its inner relation with the Bekenstein-Hawking area-entropy relation in connection with Schwarzschild black hole.
| 14.071012
| 11.669917
| 14.758919
| 11.726616
| 12.173261
| 13.197446
| 12.150777
| 10.994859
| 10.850703
| 14.653445
| 11.849771
| 12.79603
| 13.770518
| 12.677945
| 12.66233
| 12.548724
| 12.922922
| 12.752107
| 12.863346
| 13.34534
| 12.57055
|
0708.4285
|
Takeshi Kobayashi
|
Takeshi Kobayashi, Shinji Mukohyama, and Shunichiro Kinoshita
|
Constraints on Wrapped DBI Inflation in a Warped Throat
|
20 pages, REVTeX4, v2: published in JCAP
|
JCAP 0801:028,2008
|
10.1088/1475-7516/2008/01/028
|
UTAP-585, RESCEU-84/07
|
hep-th astro-ph gr-qc hep-ph
| null |
We derive constraints on the tensor to scalar ratio and on the background
charge of the warped throat for DBI inflation driven by D5- and D7-branes
wrapped over cycles of the throat. It is shown that the background charge well
beyond the known maximal value is required in most cases for DBI inflation to
generate cosmological observables compatible with the WMAP3 data. Most of the
results derived in this paper are insensitive to the details of the inflaton
potential, and could be applied to generic warped throats.
|
[
{
"created": "Fri, 31 Aug 2007 07:35:19 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2008 02:04:58 GMT",
"version": "v2"
}
] |
2009-11-18
|
[
[
"Kobayashi",
"Takeshi",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Kinoshita",
"Shunichiro",
""
]
] |
We derive constraints on the tensor to scalar ratio and on the background charge of the warped throat for DBI inflation driven by D5- and D7-branes wrapped over cycles of the throat. It is shown that the background charge well beyond the known maximal value is required in most cases for DBI inflation to generate cosmological observables compatible with the WMAP3 data. Most of the results derived in this paper are insensitive to the details of the inflaton potential, and could be applied to generic warped throats.
| 10.334732
| 10.839026
| 11.779369
| 10.65672
| 9.032777
| 9.507353
| 10.29364
| 8.936867
| 10.030483
| 12.738472
| 9.501467
| 9.080875
| 9.869013
| 9.595787
| 9.539439
| 9.269694
| 9.078897
| 9.07003
| 9.630249
| 10.381414
| 9.259105
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.