id
stringlengths 9
14
| submitter
stringlengths 1
50
⌀ | authors
stringlengths 5
666
| title
stringlengths 5
242
| comments
stringlengths 1
609
⌀ | journal-ref
stringlengths 9
243
⌀ | doi
stringlengths 12
113
⌀ | report-no
stringlengths 2
204
⌀ | categories
stringlengths 6
112
| license
stringclasses 9
values | orig_abstract
stringlengths 21
2.11k
| versions
listlengths 1
26
| update_date
stringlengths 10
10
| authors_parsed
listlengths 1
38
| abstract
stringlengths 18
2.11k
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2109.03897
|
Gerald V. Dunne
|
Gerald V. Dunne
|
Borel Summation and Analytic Continuation of the Heat Kernel on
Hyperbolic Space
|
14 pp, 13 figs; for Festschrift in honor of Peter Suranyi
|
Chapter 10, pages 167-189, in "Peter Suranyi Festschrift: A Life
in Quantum Field Theory", P. Argyres et al (Eds), (World Scientific, 2022)
|
10.1142/9789811262357_0010
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The heat kernel expansion on even-dimensional hyperbolic spaces is asymptotic
at both short and long times, with interestingly different Borel properties for
these short and long time expansions. Resummations in terms of incomplete gamma
functions provide accurate extrapolations and analytic continuations, relating
the heat kernel to the Schrodinger kernel, and the heat kernel on hyperbolic
space to the heat kernel on spheres. For the diagonal heat kernel there is also
a duality between short and long times which mixes the scalar and spinor heat
kernels.
|
[
{
"created": "Wed, 8 Sep 2021 19:40:38 GMT",
"version": "v1"
}
] |
2023-05-31
|
[
[
"Dunne",
"Gerald V.",
""
]
] |
The heat kernel expansion on even-dimensional hyperbolic spaces is asymptotic at both short and long times, with interestingly different Borel properties for these short and long time expansions. Resummations in terms of incomplete gamma functions provide accurate extrapolations and analytic continuations, relating the heat kernel to the Schrodinger kernel, and the heat kernel on hyperbolic space to the heat kernel on spheres. For the diagonal heat kernel there is also a duality between short and long times which mixes the scalar and spinor heat kernels.
|
hep-th/0210051
|
Debashis Gangopadhyay
|
R.Bhattacharyya, Debashis Gangopadhyay
|
Spacetime Dependent Lagrangians and the Vacuum Expectation Value of the
Higgs field
|
latex, 10 pages
| null | null | null |
hep-th
| null |
The spacetime dependent lagrangian formalism of references [1-2] is used to
obtain a classical solution of Yang-Mills theory. This is then used to obtain
an estimate of the vacuum expectation value of the Higgs field, viz.
$\phi_{a}=A/e$, where $A$ is a constant and $e$ is the Yang-Mills coupling
(related to the usual electric charge). The solution can also accommodate
non-commuting coordinates on the boundary of the theory which may be used to
construct D-brane actions.
PACS:11.15.-q ; 11.27+d ; 11.10.Ef
|
[
{
"created": "Sat, 5 Oct 2002 07:36:09 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bhattacharyya",
"R.",
""
],
[
"Gangopadhyay",
"Debashis",
""
]
] |
The spacetime dependent lagrangian formalism of references [1-2] is used to obtain a classical solution of Yang-Mills theory. This is then used to obtain an estimate of the vacuum expectation value of the Higgs field, viz. $\phi_{a}=A/e$, where $A$ is a constant and $e$ is the Yang-Mills coupling (related to the usual electric charge). The solution can also accommodate non-commuting coordinates on the boundary of the theory which may be used to construct D-brane actions. PACS:11.15.-q ; 11.27+d ; 11.10.Ef
|
hep-th/9810066
|
Charles B. Thorn
|
Charles B. Thorn
|
Bag Model for a Link in a Closed Gluonic Chain
|
10 pages, LaTeX
|
Phys. Rev. D 59, 116011 (1999)
|
10.1103/PhysRevD.59.116011
| null |
hep-th
| null |
The large $N_c$ limit of Yang-Mills gauge theory is the dynamics of a closed
gluonic chain, but this fact does not obviate the inherently strong coupling
nature of the dynamical problem. However, we suggest that a single link in such
a chain might be reasonably described in the quasi-perturbative language of
gluons and their interactions. To implement this idea, we use the MIT bag to
model the physics of a nearest neighbor bond.
|
[
{
"created": "Fri, 9 Oct 1998 21:15:36 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Thorn",
"Charles B.",
""
]
] |
The large $N_c$ limit of Yang-Mills gauge theory is the dynamics of a closed gluonic chain, but this fact does not obviate the inherently strong coupling nature of the dynamical problem. However, we suggest that a single link in such a chain might be reasonably described in the quasi-perturbative language of gluons and their interactions. To implement this idea, we use the MIT bag to model the physics of a nearest neighbor bond.
|
hep-th/0107219
|
Bob Delbourgo
|
Y. Hoshino
|
The Gauge Technique in QED_{2+1}
|
11 pages, Latex, no figures
| null | null | null |
hep-th hep-ph
| null |
The Gauge Technique has been applied to QED$_{2+1}$ in the quenched case with
infrared subtraction. The behaviour of the fermion propagator near the
threshold is then found to be \[ S(p)\to \frac{(\gamma \cdot
p+m)}{(p^{2}-m^{2})}(\frac{p^{2}-m^{2}}{% 2m^{2}})^{\zeta}\exp (-\frac{\eta
\varsigma}{2}), \] where $\varsigma =e^{2}/(4\pi m)$ and this is gauge
invariant except the exponential factor. We also find a spectral function in
the Landau and Yennie like gauge. The propagators $S(p)$ are expressed in terms
of $\Phi (z,1,\varsigma)$ explicitly .The vacuum expectation value $<
\overline{\psi}\psi >$ is gauge dependent . Thus dynamical mass generation does
not occur.
|
[
{
"created": "Wed, 25 Jul 2001 00:29:43 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2001 00:24:08 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jul 2001 07:56:13 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Jul 2001 02:18:21 GMT",
"version": "v4"
},
{
"created": "Fri, 3 Aug 2001 06:31:10 GMT",
"version": "v5"
},
{
"created": "Tue, 7 Aug 2001 00:40:53 GMT",
"version": "v6"
}
] |
2007-05-23
|
[
[
"Hoshino",
"Y.",
""
]
] |
The Gauge Technique has been applied to QED$_{2+1}$ in the quenched case with infrared subtraction. The behaviour of the fermion propagator near the threshold is then found to be \[ S(p)\to \frac{(\gamma \cdot p+m)}{(p^{2}-m^{2})}(\frac{p^{2}-m^{2}}{% 2m^{2}})^{\zeta}\exp (-\frac{\eta \varsigma}{2}), \] where $\varsigma =e^{2}/(4\pi m)$ and this is gauge invariant except the exponential factor. We also find a spectral function in the Landau and Yennie like gauge. The propagators $S(p)$ are expressed in terms of $\Phi (z,1,\varsigma)$ explicitly .The vacuum expectation value $< \overline{\psi}\psi >$ is gauge dependent . Thus dynamical mass generation does not occur.
|
hep-th/0612269
|
Keisuke Okamura
|
Yasuyuki Hatsuda and Keisuke Okamura
|
Emergent Classical Strings from Matrix Model
|
1+23 pages, 3 figures
|
JHEP 0703:077,2007
|
10.1088/1126-6708/2007/03/077
|
UT-06-24
|
hep-th
| null |
Generalizing the idea of hep-th/0509015 by Berenstein, Correa, and Vazquez,
we study many-magnon states in an SU(2) sector of a reduced matrix quantum
mechanics obtained from N=4 SU(N) super Yang-Mills on R x S^3. Generic Q-magnon
states are described as a chain of ``string-bits'' joining Q+1 eigenvalues of
background matrices which form a 1/2 BPS circular droplet in the large N limit.
We will concentrate on infinitely long states whose first and last eigenvalues
localize at the edge of the droplet. Each constituent string-bit has a complex
quasi-momentum in general, while the total quasi-momentum P of the state is
real. For given Q and P, the minimum energy of the chain of string-bits is
realized when the Q+1 eigenvalues are equally spaced on one and the same line
segment joining the two outmost eigenvalues localized on the edge with angular
difference P. Such configuration of bound string-bits precisely reproduces the
dispersion relation for dyonic giant magnons in classical string theory. We
also show the emergence of two-spin folded/circular strings in special infinite
spin limit as particular configurations of closed chains of string-bits.
|
[
{
"created": "Wed, 27 Dec 2006 09:44:46 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okamura",
"Keisuke",
""
]
] |
Generalizing the idea of hep-th/0509015 by Berenstein, Correa, and Vazquez, we study many-magnon states in an SU(2) sector of a reduced matrix quantum mechanics obtained from N=4 SU(N) super Yang-Mills on R x S^3. Generic Q-magnon states are described as a chain of ``string-bits'' joining Q+1 eigenvalues of background matrices which form a 1/2 BPS circular droplet in the large N limit. We will concentrate on infinitely long states whose first and last eigenvalues localize at the edge of the droplet. Each constituent string-bit has a complex quasi-momentum in general, while the total quasi-momentum P of the state is real. For given Q and P, the minimum energy of the chain of string-bits is realized when the Q+1 eigenvalues are equally spaced on one and the same line segment joining the two outmost eigenvalues localized on the edge with angular difference P. Such configuration of bound string-bits precisely reproduces the dispersion relation for dyonic giant magnons in classical string theory. We also show the emergence of two-spin folded/circular strings in special infinite spin limit as particular configurations of closed chains of string-bits.
|
2402.03730
|
Feng Qu
|
Feng Qu
|
Effective field theories on subspaces of the Bruhat-Tits tree
|
accepted version
| null |
10.1007/JHEP06(2024)175
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
On two subspaces of the Bruhat-Tits tree, effective actions are calculated.
The limits of these effective field theories are found to be the same conformal
field theory over p-adic numbers when subspaces are taken to the boundary of
the tree. Their relations to the p-adic version of AdS/CFT are also discussed.
|
[
{
"created": "Tue, 6 Feb 2024 05:56:51 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jun 2024 16:19:50 GMT",
"version": "v2"
}
] |
2024-07-02
|
[
[
"Qu",
"Feng",
""
]
] |
On two subspaces of the Bruhat-Tits tree, effective actions are calculated. The limits of these effective field theories are found to be the same conformal field theory over p-adic numbers when subspaces are taken to the boundary of the tree. Their relations to the p-adic version of AdS/CFT are also discussed.
|
2102.02847
|
Andrea Leonardo Guerrieri
|
Andrea Guerrieri, Joao Penedones, Pedro Vieira
|
Where is String Theory?
|
3 pages + appendices, 9 figures. v2 with improved data, 1 figure
added, 1 appendix added. The submission contains the Mathematica notebook
used for the fit analysis and a .txt file with the data
|
Phys. Rev. Lett. 127, 081601 (2021)
|
10.1103/PhysRevLett.127.081601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the S-matrix bootstrap to carve out the space of unitary, crossing
symmetric and supersymmetric graviton scattering amplitudes in ten dimensions.
We focus on the leading Wilson coefficient $\alpha$ controlling the leading
correction to maximal supergravity. The negative region $\alpha<0$ is excluded
by a simple dual argument based on linearized unitarity (the desert). A whole
semi-infinite region $\alpha \gtrsim 0.14$ is allowed by the primal bootstrap
(the garden). A finite intermediate region is excluded by non-perturbative
unitarity (the swamp). Remarkably, string theory seems to cover all (or at
least almost all) the garden from very large positive $\alpha$ -- at weak
coupling -- to the swamp boundary -- at strong coupling.
|
[
{
"created": "Thu, 4 Feb 2021 19:30:53 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2021 08:34:53 GMT",
"version": "v2"
}
] |
2021-08-25
|
[
[
"Guerrieri",
"Andrea",
""
],
[
"Penedones",
"Joao",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient $\alpha$ controlling the leading correction to maximal supergravity. The negative region $\alpha<0$ is excluded by a simple dual argument based on linearized unitarity (the desert). A whole semi-infinite region $\alpha \gtrsim 0.14$ is allowed by the primal bootstrap (the garden). A finite intermediate region is excluded by non-perturbative unitarity (the swamp). Remarkably, string theory seems to cover all (or at least almost all) the garden from very large positive $\alpha$ -- at weak coupling -- to the swamp boundary -- at strong coupling.
|
2302.12799
|
Marc Geiller
|
Laurent Freidel, Marc Geiller, Wolfgang Wieland
|
Corner symmetry and quantum geometry
|
29 pages. Revised version taking into account comments by the
referees. This is a preprint of a chapter to appear in the "Handbook of
Quantum Gravity", edited by Cosimo Bambi, Leonardo Modesto and Ilya Shapiro,
2023, Springer
|
Bambi, C., Modesto, L., Shapiro, I. (eds) Handbook of Quantum
Gravity. 2023, Springer
|
10.1007/978-981-19-3079-9_107-1
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
By virtue of the Noether theorems, the vast gauge redundancy of general
relativity provides us with a rich algebra of boundary charges that generate
physical symmetries. These charges are located at codimension-2 entangling
surfaces called corners. The presence of non-trivial corner symmetries
associated with any entangling cut provides stringent constraints on the
theory's mathematical structure and a guide through quantization. This report
reviews new and recent results for non-perturbative quantum gravity, which are
natural consequences of this structure. First, we establish that the corner
symmetry derived from the gauge principle encodes quantum entanglement across
internal boundaries. We also explain how the quantum representation of the
corner symmetry algebra provides us with a notion of quantum geometry. We then
focus our discussion on the first-order formulation of gravity and show how
many results obtained in the continuum connect naturally with previous results
in loop quantum gravity. In particular, we show that it is possible to get,
purely from quantization and without discretization, an area operator with
discrete spectrum, which is covariant under local Lorentz symmetry. We
emphasize that while loop gravity correctly captures some of the gravitational
quantum numbers, it does not capture all of them, which points towards
important directions for future developments. Finally, we discuss the
understanding of the gravitational dynamics along null surfaces as a
conservation of symmetry charges associated with a Carrollian fluid.
|
[
{
"created": "Fri, 24 Feb 2023 18:22:34 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Apr 2023 20:36:02 GMT",
"version": "v2"
}
] |
2024-03-26
|
[
[
"Freidel",
"Laurent",
""
],
[
"Geiller",
"Marc",
""
],
[
"Wieland",
"Wolfgang",
""
]
] |
By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides us with a rich algebra of boundary charges that generate physical symmetries. These charges are located at codimension-2 entangling surfaces called corners. The presence of non-trivial corner symmetries associated with any entangling cut provides stringent constraints on the theory's mathematical structure and a guide through quantization. This report reviews new and recent results for non-perturbative quantum gravity, which are natural consequences of this structure. First, we establish that the corner symmetry derived from the gauge principle encodes quantum entanglement across internal boundaries. We also explain how the quantum representation of the corner symmetry algebra provides us with a notion of quantum geometry. We then focus our discussion on the first-order formulation of gravity and show how many results obtained in the continuum connect naturally with previous results in loop quantum gravity. In particular, we show that it is possible to get, purely from quantization and without discretization, an area operator with discrete spectrum, which is covariant under local Lorentz symmetry. We emphasize that while loop gravity correctly captures some of the gravitational quantum numbers, it does not capture all of them, which points towards important directions for future developments. Finally, we discuss the understanding of the gravitational dynamics along null surfaces as a conservation of symmetry charges associated with a Carrollian fluid.
|
2110.13697
|
Jerzy Lukierski
|
Jerzy Lukierski, Mariusz Woronowicz
|
Spinorial Snyder and Yang Models From Superalgebras And Noncommutative
Quantum Superspaces
|
15 pages, LaTeX
| null |
10.1016/j.physletb.2021.136783
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The relativistic Lorentz-covariant quantum space-times obtained by Snyder can
be described by the coset generators of (anti) de-Sitter algebras. Similarly,
the Lorentz-covariant quantum phase spaces introduced by Yang, which contain
additionally quantum curved fourmomenta and quantum-deformed relativistic
Heisenberg algebra, can be defined by suitably chosen coset generators of
conformal algebras. We extend such algebraic construction to the respective
superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder
model) and indicate also how to obtain the quantum relativistic phase
superspaces (SUSY Yang model). In last Section we recall briefly other ways of
deriving quantum phase (super)spaces and we compare the spinorial Snyder type
models defining bosonic or fermionic quantum-deformed spinors.
|
[
{
"created": "Tue, 26 Oct 2021 13:32:31 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Lukierski",
"Jerzy",
""
],
[
"Woronowicz",
"Mariusz",
""
]
] |
The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relativistic Heisenberg algebra, can be defined by suitably chosen coset generators of conformal algebras. We extend such algebraic construction to the respective superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder model) and indicate also how to obtain the quantum relativistic phase superspaces (SUSY Yang model). In last Section we recall briefly other ways of deriving quantum phase (super)spaces and we compare the spinorial Snyder type models defining bosonic or fermionic quantum-deformed spinors.
|
1801.03759
|
Andrea Cappelli
|
Andrea Cappelli, Lorenzo Maffi
|
Bulk-Boundary Correspondence in the Quantum Hall Effect
|
41 pages, 5 figures; updated analysis of physical setting and
discussion of universality
| null |
10.1088/1751-8121/aad0ab
| null |
hep-th cond-mat.mes-hall cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a detailed microscopic study of edge excitations for n filled
Landau levels. We show that the higher-level wavefunctions possess a
non-trivial radial dependence that should be integrated over for properly
defining the edge conformal field theory. This analysis let us clarify the role
of the electron orbital spin s in the edge theory and to discuss its
universality, thus providing a further instance of the bulk-boundary
correspondence. We find that the values s_i for each level, i=1,...,n,
parameterize a Casimir effect or chemical potential shift that could be
experimentally observed. These results are generalized to fractional and
hierarchical fillings by exploiting the W-infinity symmetry of incompressible
Hall fluids.
|
[
{
"created": "Thu, 11 Jan 2018 13:55:34 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2018 22:36:42 GMT",
"version": "v2"
}
] |
2018-08-15
|
[
[
"Cappelli",
"Andrea",
""
],
[
"Maffi",
"Lorenzo",
""
]
] |
We present a detailed microscopic study of edge excitations for n filled Landau levels. We show that the higher-level wavefunctions possess a non-trivial radial dependence that should be integrated over for properly defining the edge conformal field theory. This analysis let us clarify the role of the electron orbital spin s in the edge theory and to discuss its universality, thus providing a further instance of the bulk-boundary correspondence. We find that the values s_i for each level, i=1,...,n, parameterize a Casimir effect or chemical potential shift that could be experimentally observed. These results are generalized to fractional and hierarchical fillings by exploiting the W-infinity symmetry of incompressible Hall fluids.
|
hep-th/9902096
|
Feng Sze-Shiang
|
Sze-Shiang Feng, Yi-Shi Duan
|
Generally Covariant Conservative Energy-Momentum for Gravitational
Anyons
|
12 pages, Latex, no figures
|
Class.Quant.Grav. 16 (1999) 3237-3244
|
10.1088/0264-9381/16/10/314
| null |
hep-th
| null |
We obtain a generally covariant conservation law of energy-momentum for
gravitational anyons by the general displacement transform. The energy-momentum
currents have also superpotentials and are therefore identically conserved. It
is shown that for Deser's solution and Clement's solution, the energy vanishes.
The reasonableness of the definition of energy-momentum may be confirmed by the
solution for pure Einstein gravity which is a limit of vanishing Chern-Simons
coulping of gravitational anyons.
|
[
{
"created": "Fri, 12 Feb 1999 13:59:54 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Feng",
"Sze-Shiang",
""
],
[
"Duan",
"Yi-Shi",
""
]
] |
We obtain a generally covariant conservation law of energy-momentum for gravitational anyons by the general displacement transform. The energy-momentum currents have also superpotentials and are therefore identically conserved. It is shown that for Deser's solution and Clement's solution, the energy vanishes. The reasonableness of the definition of energy-momentum may be confirmed by the solution for pure Einstein gravity which is a limit of vanishing Chern-Simons coulping of gravitational anyons.
|
1606.07420
|
Per Berglund
|
Per Berglund, Tristan Hubsch
|
On Calabi-Yau generalized complete intersections from Hirzebruch
varieties and novel K3-fibrations
|
32 pages, 2 figures
|
Adv. Theor. Math. Phys. 22 (2) (2018) 261-303
|
10.4310/ATMP.2018.v22.n2.a1
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the construction of Calabi-Yau varieties recently generalized to
where the defining equations may have negative degrees over some projective
space factors in the embedding space. Within such "generalized complete
intersection" Calabi-Yau ("gCICY") three-folds, we find several sequences of
distinct manifolds. These include both novel elliptic and K3-fibrations and
involve Hirzebruch surfaces and their higher dimensional analogues. En route,
we generalize the standard techniques of cohomology computation to these
generalized complete intersection Calabi-Yau varieties.
|
[
{
"created": "Thu, 23 Jun 2016 19:44:12 GMT",
"version": "v1"
}
] |
2020-01-07
|
[
[
"Berglund",
"Per",
""
],
[
"Hubsch",
"Tristan",
""
]
] |
We consider the construction of Calabi-Yau varieties recently generalized to where the defining equations may have negative degrees over some projective space factors in the embedding space. Within such "generalized complete intersection" Calabi-Yau ("gCICY") three-folds, we find several sequences of distinct manifolds. These include both novel elliptic and K3-fibrations and involve Hirzebruch surfaces and their higher dimensional analogues. En route, we generalize the standard techniques of cohomology computation to these generalized complete intersection Calabi-Yau varieties.
|
0807.3254
|
Urjit A. Yajnik
|
Brijesh Kumar and Urjit A. Yajnik
|
On stability of false vacuum in supersymmetric theories with cosmic
strings
|
17 pages 5 figures
|
Phys.Rev.D79:065001,2009
|
10.1103/PhysRevD.79.065001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the stability of supersymmetry breaking vacuum in the presence of
cosmic strings arising in the messenger sector. For certain ranges of the
couplings, the desired supersymmetry breaking vacua become unstable against
decay into phenomenologically unacceptable vacua. This sets constraints on the
range of allowed values of the coupling constants appearing in the models and
more generally on the chosen dynamics of gauge symmetry breaking.
|
[
{
"created": "Mon, 21 Jul 2008 13:22:59 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2009 12:23:18 GMT",
"version": "v2"
}
] |
2009-11-06
|
[
[
"Kumar",
"Brijesh",
""
],
[
"Yajnik",
"Urjit A.",
""
]
] |
We study the stability of supersymmetry breaking vacuum in the presence of cosmic strings arising in the messenger sector. For certain ranges of the couplings, the desired supersymmetry breaking vacua become unstable against decay into phenomenologically unacceptable vacua. This sets constraints on the range of allowed values of the coupling constants appearing in the models and more generally on the chosen dynamics of gauge symmetry breaking.
|
2301.09512
|
Sergii Kutnii
|
Sergii Kutnii
|
Dirac: a command-line $\gamma$-matrix calculator
|
This version is to be published in vol. 294 of Computer Physics
Comminucations
| null |
10.1016/j.cpc.2023.108901
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A software for simplification of Dirac matrix polynomials that arise in
particle physics problems is implemented.
|
[
{
"created": "Mon, 23 Jan 2023 16:04:17 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2023 14:47:28 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Sep 2023 14:06:31 GMT",
"version": "v3"
}
] |
2023-09-26
|
[
[
"Kutnii",
"Sergii",
""
]
] |
A software for simplification of Dirac matrix polynomials that arise in particle physics problems is implemented.
|
0908.4089
|
Mohamed Anber
|
Mohamed M. Anber, Lorenzo Sorbo
|
Naturally inflating on steep potentials through electromagnetic
dissipation
|
7 pages, some sections are extended, two appendices are added, few
references are added.
| null |
10.1103/PhysRevD.81.043534
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In models of natural inflation, the inflaton is an axion-like particle.
Unfortunately, axion potentials in UV-complete theories appear to be too steep
to drive inflation. We show that, even for a steep potential, natural inflation
can occur if the coupling between axion and gauge fields is taken into account.
Due to this coupling, quanta of the gauge field are produced by the rolling of
the axion. If the coupling is large enough, such a dissipative effect slows
down the axion, leading to inflation even for a steep potential. The spectrum
of perturbations is quasi-scale invariant, but in the simplest construction its
amplitude is larger than $10^{-5}$. We discuss a possible way out of this
problem.
|
[
{
"created": "Thu, 27 Aug 2009 20:07:19 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 05:32:46 GMT",
"version": "v2"
}
] |
2015-05-14
|
[
[
"Anber",
"Mohamed M.",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] |
In models of natural inflation, the inflaton is an axion-like particle. Unfortunately, axion potentials in UV-complete theories appear to be too steep to drive inflation. We show that, even for a steep potential, natural inflation can occur if the coupling between axion and gauge fields is taken into account. Due to this coupling, quanta of the gauge field are produced by the rolling of the axion. If the coupling is large enough, such a dissipative effect slows down the axion, leading to inflation even for a steep potential. The spectrum of perturbations is quasi-scale invariant, but in the simplest construction its amplitude is larger than $10^{-5}$. We discuss a possible way out of this problem.
|
hep-th/9903006
|
Stefan Groot Nibbelink
|
S. Groot Nibbelink and J.W. van Holten
|
Consistent sigma-models in N=1 supergravity
|
39 pages, LaTeX, no figures
|
Nucl.Phys.B588:57-89,2000
|
10.1016/S0550-3213(00)00505-8
|
NIKHEF/99-007
|
hep-th hep-ph
| null |
A consistent N=1 supersymmetric $\sigma$-model can be constructed, given a
K\"ahler manifold by adding chiral matter multiplets. Their scalar components
are covariant tensors on the underlying K\"ahler manifold. The K\"ahler
U(1)-charges can be adjusted such that the anomalies cancel, using the
holomorphic functions in which the K\"ahler potential transforms. The
arbitrariness of the U(1)-charges of matter multiplets is related to their
Weyl-weights in superconformal gravity, before it is reduced to supergravity.
The covariance of the K\"ahler potential forces the superpotential to be
covariant as well. This relates the cut-off, the Planck scale and the matter
charges to each other. A non-vanishing VEV of the covariant superpotential
breaks the K\"ahler U(1) spontaneously. If this VEV vanishes, the gravitino is
massless and depending on the above mentioned parameters there may be
additional internal symmetry breaking. The separation of the different
representations of chiral multiplets can be achieved by covariantizations of
derivatives and fermions. Using non-holomorphic transformations, the full
K\"ahler metric can be block-diagonalized and the necessary covariantizations
come out naturally. Various aspects are illustrated by applying them to
Grassmannian coset models. In particular a consistent model of coset
$SU(5)/SU(2)\times U(1) \times SU(3)$ with the field content of the standard
model is constructed. The phenomenology of this model is analyzed.
|
[
{
"created": "Sun, 28 Feb 1999 11:49:24 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Aug 1999 14:36:00 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Nibbelink",
"S. Groot",
""
],
[
"van Holten",
"J. W.",
""
]
] |
A consistent N=1 supersymmetric $\sigma$-model can be constructed, given a K\"ahler manifold by adding chiral matter multiplets. Their scalar components are covariant tensors on the underlying K\"ahler manifold. The K\"ahler U(1)-charges can be adjusted such that the anomalies cancel, using the holomorphic functions in which the K\"ahler potential transforms. The arbitrariness of the U(1)-charges of matter multiplets is related to their Weyl-weights in superconformal gravity, before it is reduced to supergravity. The covariance of the K\"ahler potential forces the superpotential to be covariant as well. This relates the cut-off, the Planck scale and the matter charges to each other. A non-vanishing VEV of the covariant superpotential breaks the K\"ahler U(1) spontaneously. If this VEV vanishes, the gravitino is massless and depending on the above mentioned parameters there may be additional internal symmetry breaking. The separation of the different representations of chiral multiplets can be achieved by covariantizations of derivatives and fermions. Using non-holomorphic transformations, the full K\"ahler metric can be block-diagonalized and the necessary covariantizations come out naturally. Various aspects are illustrated by applying them to Grassmannian coset models. In particular a consistent model of coset $SU(5)/SU(2)\times U(1) \times SU(3)$ with the field content of the standard model is constructed. The phenomenology of this model is analyzed.
|
1806.00485
|
Christian Friedrich Steinwachs
|
Michael S. Ruf, Christian F. Steinwachs
|
Renormalization of generalized vector field models in curved spacetime
|
24 pages, one figure, typos corrected, accepted for publication in
Phys. Rev. D
|
Phys. Rev. D 98, 025009 (2018)
|
10.1103/PhysRevD.98.025009
|
FR-PHENO-2018-005
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the one-loop divergences for different vector field models in
curved spacetime. We introduce a classification scheme based on their
degeneracy structure, which encompasses the well-known models of the
non-degenerate vector field, the Abelian gauge field and the Proca field. The
renormalization of the generalized Proca model, which has important
applications in cosmology, is more complicated. By extending standard
heat-kernel techniques, we derive a closed form expression for the one-loop
divergences of the generalized Proca model.
|
[
{
"created": "Fri, 1 Jun 2018 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2018 11:56:56 GMT",
"version": "v2"
}
] |
2018-07-18
|
[
[
"Ruf",
"Michael S.",
""
],
[
"Steinwachs",
"Christian F.",
""
]
] |
We calculate the one-loop divergences for different vector field models in curved spacetime. We introduce a classification scheme based on their degeneracy structure, which encompasses the well-known models of the non-degenerate vector field, the Abelian gauge field and the Proca field. The renormalization of the generalized Proca model, which has important applications in cosmology, is more complicated. By extending standard heat-kernel techniques, we derive a closed form expression for the one-loop divergences of the generalized Proca model.
|
1903.03081
|
Patrick Concha
|
Patrick Concha
|
$\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories
in three spacetime dimensions
|
V2, 16 pages, reference added, accepted version in Physics Letters B
|
Phys. Lett. B 792 (2019) 290-297
|
10.1016/j.physletb.2019.03.060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new class of three-dimensional $\mathcal{N}$-extended
supergravity theories based on the $\mathcal{N}$-extended Maxwell superalgebra
with central charges and $\mathfrak{so}(\mathcal{N})$ internal symmetry
generators. The presence of $\mathfrak{so}(\mathcal{N})$ generators is required
in order to define a non-degenerate invariant inner product. Such symmetry
allows us to construct an alternative supergravity action without cosmological
constant term. Interestingly, the new theories can be obtained as a flat limit
of a $\mathcal{N}$-extended AdS-Lorentz supergravity theories enlarged with
$\mathfrak{so}(\mathcal{N})$ gauge fields.
|
[
{
"created": "Thu, 7 Mar 2019 18:19:18 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 00:53:48 GMT",
"version": "v2"
}
] |
2019-04-10
|
[
[
"Concha",
"Patrick",
""
]
] |
We present a new class of three-dimensional $\mathcal{N}$-extended supergravity theories based on the $\mathcal{N}$-extended Maxwell superalgebra with central charges and $\mathfrak{so}(\mathcal{N})$ internal symmetry generators. The presence of $\mathfrak{so}(\mathcal{N})$ generators is required in order to define a non-degenerate invariant inner product. Such symmetry allows us to construct an alternative supergravity action without cosmological constant term. Interestingly, the new theories can be obtained as a flat limit of a $\mathcal{N}$-extended AdS-Lorentz supergravity theories enlarged with $\mathfrak{so}(\mathcal{N})$ gauge fields.
|
1605.01472
|
Peter Koroteev
|
P. Koroteev, M. Shifman, A. Yung
|
Studying Critical String Emerging from Non-Abelian Vortex in Four
Dimensions
|
15 pages, no figures, minor corrections
|
Phys.Lett. B759 (2016) 154-158
|
10.1016/j.physletb.2016.05.075
|
FTPI-MINN-16/18, UMN-TH-3528/16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently a special vortex string was found [5] in a class of soliton vortices
supported in four-dimensional Yang-Mills theories that under certain conditions
can become infinitely thin and can be interpreted as a critical ten-dimensional
string. The appropriate bulk Yang-Mills theory has the U(2) gauge group and the
Fayet-Iliopoulos term. It supports semilocal non-Abelian vortices with the
world-sheet theory for orientational and size moduli described by the weighted
CP(2,2) model. The full target space is R_4\times Y_6 where Y_6 is a
non-compact Calabi-Yau space.
We study the above vortex string from the standpoint of string theory,
focusing on the massless states in four dimensions. In the generic case all
massless modes are non-normalizable, hence, no massless gravitons or vector
fields are predicted in the physical spectrum. However, at the selfdual point
(at strong coupling) weighted CP(2,2) admits deformation of the complex
structure, resulting in a single massless hypermultiplet in the bulk. We
interpret it as a composite "baryon."
|
[
{
"created": "Thu, 5 May 2016 01:53:51 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2016 19:25:55 GMT",
"version": "v2"
}
] |
2016-06-14
|
[
[
"Koroteev",
"P.",
""
],
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
Recently a special vortex string was found [5] in a class of soliton vortices supported in four-dimensional Yang-Mills theories that under certain conditions can become infinitely thin and can be interpreted as a critical ten-dimensional string. The appropriate bulk Yang-Mills theory has the U(2) gauge group and the Fayet-Iliopoulos term. It supports semilocal non-Abelian vortices with the world-sheet theory for orientational and size moduli described by the weighted CP(2,2) model. The full target space is R_4\times Y_6 where Y_6 is a non-compact Calabi-Yau space. We study the above vortex string from the standpoint of string theory, focusing on the massless states in four dimensions. In the generic case all massless modes are non-normalizable, hence, no massless gravitons or vector fields are predicted in the physical spectrum. However, at the selfdual point (at strong coupling) weighted CP(2,2) admits deformation of the complex structure, resulting in a single massless hypermultiplet in the bulk. We interpret it as a composite "baryon."
|
hep-th/0507236
|
Paolo Amore Dr
|
Paolo Amore
|
Non perturbative series for the calculation of one loop integrals at
finite temperature
|
8 pages, 2 figures, proceedings of the 8-th International Conference
"Path Integrals. From Quantum Information to Cosmology"
| null | null | null |
hep-th
| null |
The calculation of one loop integrals at finite temperature requires the
evaluation of certain series, which converge very slowly or can even be
divergent. Here we review a new method, recently devised by the author, for
obtaining accelerated analytical expressions for these series. The fundamental
properties of the new series are studied and an application to a physical
example is considered. The relevance of the method to other physical problems
is also discussed.
|
[
{
"created": "Mon, 25 Jul 2005 15:21:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Amore",
"Paolo",
""
]
] |
The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining accelerated analytical expressions for these series. The fundamental properties of the new series are studied and an application to a physical example is considered. The relevance of the method to other physical problems is also discussed.
|
2401.00511
|
Christoph Uhlemann
|
Evan Deddo, Leopoldo A. Pando Zayas, Christoph F. Uhlemann
|
Binary AdS black holes coupled to a bath in Type IIB
|
28 pages, 10 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct Type IIB string theory setups which, via double holography,
realize two gravitational systems in separate AdS spaces which interact with
each other and with a non-gravitational bath. We employ top-down string theory
solutions with concrete field theory duals in the form of 4d $\mathcal N=4$ SYM
BCFTs and a first-principles notion of double holography. The setups are used
to realize pairs of `near' and `far' black holes from the perspective of the
bath, which exchange Hawking radiation with each other and radiate into the
bath. We identify three phases for the entropy in the bath characterized as no
island, partial island and full island, and discuss the entropy curves. The
setups differ from the black hole binaries observed in gravitational wave
experiments but may capture certain aspects.
|
[
{
"created": "Sun, 31 Dec 2023 14:35:58 GMT",
"version": "v1"
}
] |
2024-01-02
|
[
[
"Deddo",
"Evan",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
We construct Type IIB string theory setups which, via double holography, realize two gravitational systems in separate AdS spaces which interact with each other and with a non-gravitational bath. We employ top-down string theory solutions with concrete field theory duals in the form of 4d $\mathcal N=4$ SYM BCFTs and a first-principles notion of double holography. The setups are used to realize pairs of `near' and `far' black holes from the perspective of the bath, which exchange Hawking radiation with each other and radiate into the bath. We identify three phases for the entropy in the bath characterized as no island, partial island and full island, and discuss the entropy curves. The setups differ from the black hole binaries observed in gravitational wave experiments but may capture certain aspects.
|
hep-th/0106185
|
Luigi Del Debbio
|
Luigi Del Debbio, Haralambos Panagopoulos, Paolo Rossi, and Ettore
Vicari
|
k-string tensions in SU(N) gauge theories
|
version accepted for publication in Phys Rev D (Rap Comm)
|
Phys.Rev. D65 (2002) 021501
|
10.1103/PhysRevD.65.021501
| null |
hep-th hep-lat
| null |
In the context of four-dimensional SU(N) gauge theories, we study the
spectrum of the confining strings. We compute, for the SU(6) gauge theory
formulated on a lattice, the three independent string tensions sigma_k related
to sources with Z_N charge k=1,2,3, using Monte Carlo simulations. Our results,
whose uncertainty is approximately 2% for k=2 and 4% for k=3, are consistent
with the sine formula sigma_k/sigma = sin(k pi/N) / \sin(pi/N) for the ratio
between sigma_k and the standard string tension sigma, and show deviations from
the Casimir scaling.
The sine formula is known to emerge in supersymmetric SU(N) gauge theories
and in M-theory. We comment on an analogous behavior exhibited by
two-dimensional SU(N)xSU(N) chiral models.
|
[
{
"created": "Wed, 20 Jun 2001 13:25:24 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2001 12:40:40 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Nov 2001 17:32:28 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Del Debbio",
"Luigi",
""
],
[
"Panagopoulos",
"Haralambos",
""
],
[
"Rossi",
"Paolo",
""
],
[
"Vicari",
"Ettore",
""
]
] |
In the context of four-dimensional SU(N) gauge theories, we study the spectrum of the confining strings. We compute, for the SU(6) gauge theory formulated on a lattice, the three independent string tensions sigma_k related to sources with Z_N charge k=1,2,3, using Monte Carlo simulations. Our results, whose uncertainty is approximately 2% for k=2 and 4% for k=3, are consistent with the sine formula sigma_k/sigma = sin(k pi/N) / \sin(pi/N) for the ratio between sigma_k and the standard string tension sigma, and show deviations from the Casimir scaling. The sine formula is known to emerge in supersymmetric SU(N) gauge theories and in M-theory. We comment on an analogous behavior exhibited by two-dimensional SU(N)xSU(N) chiral models.
|
hep-th/9502099
|
Mirjam Cvetic
|
Mirjam Cvetic and Donam Youm
|
STATIC FOUR-DIMENSIONAL ABELIAN BLACK HOLES IN KALUZA-KLEIN THEORY
|
11 pages, 2 Postscript figures. uses RevTeX and psfig.sty (for figs)
paper and figs also at ftp://dept.physics.upenn.edu/pub/Cvetic/UPR-645-T
|
Phys.Rev.D52:2144-2149,1995
|
10.1103/PhysRevD.52.2144
|
UPR-645-T
|
hep-th gr-qc
| null |
Static, four-dimensional (4-d) black holes (BH's) in ($4+n$)-d Kaluza-Klein
(KK) theory with Abelian isometry and diagonal internal metric have at most one
electric ($Q$) and one magnetic ($P$) charges, which can either come from the
same $U(1)$-gauge field (corresponding to BH's in effective 5-d KK theory) or
from different ones (corresponding to BH's with $U(1)_M\times U(1)_E$ isometry
of an effective 6-d KK theory). In the latter case, explicit non-extreme
solutions have the global space-time of Schwarzschild BH's, finite temperature,
and non-zero entropy. In the extreme (supersymmetric) limit the singularity
becomes null, the temperature saturates the upper bound
$T_H=1/4\pi\sqrt{|QP|}$, and entropy is zero. A class of KK BH's with
constrained charge configurations, exhibiting a continuous electric-magnetic
duality, are generated by global $SO(n)$ transformations on the above classes
of the solutions.
|
[
{
"created": "Thu, 16 Feb 1995 02:12:09 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Youm",
"Donam",
""
]
] |
Static, four-dimensional (4-d) black holes (BH's) in ($4+n$)-d Kaluza-Klein (KK) theory with Abelian isometry and diagonal internal metric have at most one electric ($Q$) and one magnetic ($P$) charges, which can either come from the same $U(1)$-gauge field (corresponding to BH's in effective 5-d KK theory) or from different ones (corresponding to BH's with $U(1)_M\times U(1)_E$ isometry of an effective 6-d KK theory). In the latter case, explicit non-extreme solutions have the global space-time of Schwarzschild BH's, finite temperature, and non-zero entropy. In the extreme (supersymmetric) limit the singularity becomes null, the temperature saturates the upper bound $T_H=1/4\pi\sqrt{|QP|}$, and entropy is zero. A class of KK BH's with constrained charge configurations, exhibiting a continuous electric-magnetic duality, are generated by global $SO(n)$ transformations on the above classes of the solutions.
|
hep-th/9807075
|
Dr. BG Sidharth
|
B.G. Sidharth
|
A Note on the Mass of the Neutrino
|
5 pages, TeX
| null | null | null |
hep-th
| null |
In the light of the recent Super-Kamiokande experiments which demonstrate
neutrino oscillation, and therefore a non zero mass, it is pointed out how such
a mass has also been deduced theoretically.
|
[
{
"created": "Fri, 10 Jul 1998 11:33:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sidharth",
"B. G.",
""
]
] |
In the light of the recent Super-Kamiokande experiments which demonstrate neutrino oscillation, and therefore a non zero mass, it is pointed out how such a mass has also been deduced theoretically.
|
hep-th/0406193
|
Shin Nakamura
|
Shin Nakamura (NBI)
|
Recoiling D-branes
|
23 pages, 1 figure, LaTeX, v2: a reference added, minor change in
section 4.2, v3, v4: minor corrections, to appear in Nucl. Phys. B
|
Nucl.Phys. B709 (2005) 192-212
|
10.1016/j.nuclphysb.2004.10.065
| null |
hep-th
| null |
We propose a new method to describe a recoiling D-brane that is elastically
scattered by closed strings in the non-relativistic region. We utilize the
low-energy effective field theory on the worldvolume of the D-brane, and the
velocity of the D-brane is described by the time derivative of the expectation
values of the massless scalar fields on the worldvolume. The effects of the
closed strings are represented by a source term for the massless fields in this
method. The momentum conservation condition between the closed strings and the
D-brane is derived up to the relative sign of the momentum of the D-brane.
|
[
{
"created": "Tue, 22 Jun 2004 17:31:53 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2004 15:17:05 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Jul 2004 21:04:31 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Dec 2004 15:27:12 GMT",
"version": "v4"
}
] |
2010-04-05
|
[
[
"Nakamura",
"Shin",
"",
"NBI"
]
] |
We propose a new method to describe a recoiling D-brane that is elastically scattered by closed strings in the non-relativistic region. We utilize the low-energy effective field theory on the worldvolume of the D-brane, and the velocity of the D-brane is described by the time derivative of the expectation values of the massless scalar fields on the worldvolume. The effects of the closed strings are represented by a source term for the massless fields in this method. The momentum conservation condition between the closed strings and the D-brane is derived up to the relative sign of the momentum of the D-brane.
|
hep-th/0204017
|
T. Damour
|
Thibault Damour
|
String Cosmology and Chaos
|
21 pages, one eps figure, talk given at the Francqui Colloquium
"Strings and Gravity: Tying the Forces Together" (Brussels, October 2001)
|
Annales Henri Poincare 4 (2003) S291-S301
|
10.1007/s00023-003-0923-0
|
IHES/P/02/22
|
hep-th astro-ph gr-qc
| null |
We briefly review three aspects of string cosmology: (1) the ``stochastic''
approach to the pre-big bang scenario, (2) the presence of chaos in the generic
cosmological solutions of the tree-level low-energy effective actions coming
out of string theory, and (3) the remarkable link between the latter chaos and
the Weyl groups of some hyperbolic Kac-Moody algebras. Talk given at the
Francqui Colloquium ``Strings and Gravity: Tying the Forces Together''
(Brussels, October 2001).
|
[
{
"created": "Tue, 2 Apr 2002 10:34:52 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Damour",
"Thibault",
""
]
] |
We briefly review three aspects of string cosmology: (1) the ``stochastic'' approach to the pre-big bang scenario, (2) the presence of chaos in the generic cosmological solutions of the tree-level low-energy effective actions coming out of string theory, and (3) the remarkable link between the latter chaos and the Weyl groups of some hyperbolic Kac-Moody algebras. Talk given at the Francqui Colloquium ``Strings and Gravity: Tying the Forces Together'' (Brussels, October 2001).
|
1512.01334
|
Etsuko Itou
|
Etsuko Itou, Keitaro Nagata, Yoshiyuki Nakagawa, Atsushi Nakamura, and
V.I. Zakharov
|
Entanglement in Four-Dimensional SU(3) Gauge Theory
|
5 pages, 2figures
| null |
10.1093/ptep/ptw050
|
KEK-CP-337
|
hep-th cond-mat.stat-mech hep-lat nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the quantum entanglement entropy for the four-dimensional
Euclidean SU(3) gauge theory. We present the first non-perturbative calculation
of the entropic $c$-function ($C(l)$) of SU(3) gauge theory in lattice Monte
Carlo simulation using the replica method. For $0 \leqslant l \leqslant
0.7$~fm, where $l$ is the length of the subspace, the entropic $c$-function is
almost constant, indicating conformally invariant dynamics. The value of the
constant agrees with that perturbatively obtained from free gluons, with 20 %
discrepancy. When $l$ is close to the Hadronic scale, the entropic $c$-function
decreases smoothly, and it is consistent with zero within error bars at $l
\gtrsim 0.9$ fm.
|
[
{
"created": "Fri, 4 Dec 2015 07:57:34 GMT",
"version": "v1"
}
] |
2016-06-21
|
[
[
"Itou",
"Etsuko",
""
],
[
"Nagata",
"Keitaro",
""
],
[
"Nakagawa",
"Yoshiyuki",
""
],
[
"Nakamura",
"Atsushi",
""
],
[
"Zakharov",
"V. I.",
""
]
] |
We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic $c$-function ($C(l)$) of SU(3) gauge theory in lattice Monte Carlo simulation using the replica method. For $0 \leqslant l \leqslant 0.7$~fm, where $l$ is the length of the subspace, the entropic $c$-function is almost constant, indicating conformally invariant dynamics. The value of the constant agrees with that perturbatively obtained from free gluons, with 20 % discrepancy. When $l$ is close to the Hadronic scale, the entropic $c$-function decreases smoothly, and it is consistent with zero within error bars at $l \gtrsim 0.9$ fm.
|
hep-th/0610187
|
Itzhak Bars
|
Itzhak Bars
|
The Standard Model as a 2T-physics Theory
|
6 pages, to appear in the proceedings of "SUSY06, the 14th
International Conference on Supersymmetry and the Unification of Fundamental
Interactions"
|
AIPConf.Proc.903:550-555,2007
|
10.1063/1.2735245
|
USC-06/HEP-B3
|
hep-th
| null |
New developments in 2T-physics, that connect 2T-physics field theory directly
to the real world, are reported in this talk. An action is proposed in field
theory in 4+2 dimensions which correctly reproduces the Standard Model (SM) in
3+1 dimensions (and no junk). Everything that is known to work in the SM still
works in the emergent 3+1 theory, but some of the problems of the SM get
resolved. The resolution is due to new restrictions on interactions inherited
from 4+2 dimensions that lead to some interesting physics and new points of
view not discussed before in 3+1 dimensions. In particular the strong CP
violation problem is resolved without an axion, and the electro-weak symmetry
breakdown that generates masses requires the participation of the dilaton, thus
relating the electro-weak phase transition to other phase transitions (such as
evolution of the universe, vacuum selection in string theory, etc.) that also
require the participation of the dilaton. The underlying principle of
2T-physics is the local symmetry Sp(2,R) under which position and momentum
become indistinguishable at any instant. This principle inevitably leads to
deep consequences, one of which is the two-time structure of spacetime in which
ordinary 1-time spacetime is embedded. The proposed action for the Standard
Model in 4+2 dimensions follows from new gauge symmetries in field theory
related to the fundamental principles of Sp(2,R). These gauge symmetries thin
out the degrees of freedom from 4+2 to 3+1 dimensions without any Kaluza-Klein
modes.
|
[
{
"created": "Tue, 17 Oct 2006 05:01:22 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bars",
"Itzhak",
""
]
] |
New developments in 2T-physics, that connect 2T-physics field theory directly to the real world, are reported in this talk. An action is proposed in field theory in 4+2 dimensions which correctly reproduces the Standard Model (SM) in 3+1 dimensions (and no junk). Everything that is known to work in the SM still works in the emergent 3+1 theory, but some of the problems of the SM get resolved. The resolution is due to new restrictions on interactions inherited from 4+2 dimensions that lead to some interesting physics and new points of view not discussed before in 3+1 dimensions. In particular the strong CP violation problem is resolved without an axion, and the electro-weak symmetry breakdown that generates masses requires the participation of the dilaton, thus relating the electro-weak phase transition to other phase transitions (such as evolution of the universe, vacuum selection in string theory, etc.) that also require the participation of the dilaton. The underlying principle of 2T-physics is the local symmetry Sp(2,R) under which position and momentum become indistinguishable at any instant. This principle inevitably leads to deep consequences, one of which is the two-time structure of spacetime in which ordinary 1-time spacetime is embedded. The proposed action for the Standard Model in 4+2 dimensions follows from new gauge symmetries in field theory related to the fundamental principles of Sp(2,R). These gauge symmetries thin out the degrees of freedom from 4+2 to 3+1 dimensions without any Kaluza-Klein modes.
|
1211.5296
|
Axel Kleinschmidt
|
Philipp Fleig and Axel Kleinschmidt
|
Perturbative terms of Kac-Moody-Eisenstein series
|
11 pages. Contribution to the Proceedings of the conference "QQQ:
Algebra-Geometry-Information", Tallinn 2012
| null | null |
AEI-2012-195
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Supersymmetric theories of gravity can exhibit surprising hidden symmetries
when considered on manifolds that include a torus. When the torus is of large
dimension these symmetries can become infinite-dimensional and of Kac-Moody
type. When taking quantum effects into account the symmetries become discrete
and invariant functions under these symmetries should play an important role in
quantum gravity. The new results here concern surprising simplifications in the
constant terms of very particular Eisenstein series on the these Kac-Moody
groups. These are exactly the cases that are expected to arise in string
theory.
|
[
{
"created": "Thu, 22 Nov 2012 14:32:31 GMT",
"version": "v1"
}
] |
2012-11-26
|
[
[
"Fleig",
"Philipp",
""
],
[
"Kleinschmidt",
"Axel",
""
]
] |
Supersymmetric theories of gravity can exhibit surprising hidden symmetries when considered on manifolds that include a torus. When the torus is of large dimension these symmetries can become infinite-dimensional and of Kac-Moody type. When taking quantum effects into account the symmetries become discrete and invariant functions under these symmetries should play an important role in quantum gravity. The new results here concern surprising simplifications in the constant terms of very particular Eisenstein series on the these Kac-Moody groups. These are exactly the cases that are expected to arise in string theory.
|
hep-th/0312200
|
El Hassan Saidi
|
Mohamed Bennai and El Hassan Saidi
|
Toric Varieties with NC Toric Actions: NC Type IIA Geometry
|
25 pages, no figures
|
Nucl.Phys.B677:587-613,2004
|
10.1016/j.nuclphysb.2003.11.014
|
Lab/UFR-HEP0307/GNPHE0308
|
hep-th
| null |
Extending the usual $\mathbf{C}^{\ast r}$ actions of toric manifolds by
allowing asymmetries between the various $\mathbf{C}^{\ast}$ factors, we build
a class of non commutative (NC) toric varieties $\mathcal{V}%_{d+1}^{(nc)}$. We
construct NC complex $d$ dimension Calabi-Yau manifolds embedded in
$\mathcal{V}_{d+1}^{(nc)}$ by using the algebraic geometry method. Realizations
of NC $\mathbf{C}^{\ast r}$ toric group are given in presence and absence of
quantum symmetries and for both cases of discrete or continuous spectrums. We
also derive the constraint eqs for NC Calabi-Yau backgrounds
$\mathcal{M}_{d}^{nc}$ embedded in $\mathcal{V}_{d+1}^{nc}$ and work out their
solutions. The latters depend on the Calabi-Yau condition $%
\sum_{i}q_{i}^{a}=0$, $q_{i}^{a}$ being the charges of $\mathbf{C}^{\ast r}$% ;
but also on the toric data ${q_{i}^{a},\nu_{i}^{A};p_{I}^{\alpha},\nu
_{iA}^{\ast}} $ of the polygons associated to $\mathcal{V}%_{d+1}$. Moreover,
we study fractional $D$ branes at singularities and show that, due to the
complete reducibility property of $\mathbf{C}^{\ast r}$ group representations,
there is an infinite number of fractional $D$ branes. We also give the
generalized Berenstein and Leigh quiver diagrams for discrete and continuous
$\mathbf{C}^{\ast r}$ representation spectrums. An illustrating example is
presented.
|
[
{
"created": "Wed, 17 Dec 2003 10:10:08 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Bennai",
"Mohamed",
""
],
[
"Saidi",
"El Hassan",
""
]
] |
Extending the usual $\mathbf{C}^{\ast r}$ actions of toric manifolds by allowing asymmetries between the various $\mathbf{C}^{\ast}$ factors, we build a class of non commutative (NC) toric varieties $\mathcal{V}%_{d+1}^{(nc)}$. We construct NC complex $d$ dimension Calabi-Yau manifolds embedded in $\mathcal{V}_{d+1}^{(nc)}$ by using the algebraic geometry method. Realizations of NC $\mathbf{C}^{\ast r}$ toric group are given in presence and absence of quantum symmetries and for both cases of discrete or continuous spectrums. We also derive the constraint eqs for NC Calabi-Yau backgrounds $\mathcal{M}_{d}^{nc}$ embedded in $\mathcal{V}_{d+1}^{nc}$ and work out their solutions. The latters depend on the Calabi-Yau condition $% \sum_{i}q_{i}^{a}=0$, $q_{i}^{a}$ being the charges of $\mathbf{C}^{\ast r}$% ; but also on the toric data ${q_{i}^{a},\nu_{i}^{A};p_{I}^{\alpha},\nu _{iA}^{\ast}} $ of the polygons associated to $\mathcal{V}%_{d+1}$. Moreover, we study fractional $D$ branes at singularities and show that, due to the complete reducibility property of $\mathbf{C}^{\ast r}$ group representations, there is an infinite number of fractional $D$ branes. We also give the generalized Berenstein and Leigh quiver diagrams for discrete and continuous $\mathbf{C}^{\ast r}$ representation spectrums. An illustrating example is presented.
|
1410.3993
|
Kazuharu Bamba
|
Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov and Diego
S\'aez-G\'omez
|
Inflationary universe from perfect fluid and $F(R)$ gravity and its
comparison with observational data
|
15 pages, 3 figures, version accepted for publication in Physical
Review D
|
Physical Review D 90, 124061 (2014)
|
10.1103/PhysRevD.90.124061
|
OCHA-PP-328
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the descriptions for the observables of inflationary models,
in particular, the spectral index of curvature perturbations, the
tensor-to-scalar ratio, and the running of the spectral index, in the framework
of perfect fluid models and $F(R)$ gravity theories through the reconstruction
methods. Furthermore, the perfect fluid and $F(R)$ gravity descriptions of
inflation are compared with the recent cosmological observations such as the
Planck satellite and BICEP2 experiment. It is demonstrated with explicit
examples that perfect fluid may lead to the inflationary universe consistent
with the Planck data. It is also shown that several $F(R)$ gravity models,
especially, a power-law model gives the best fit values compatible with the
spectral index and tensor-to-scalar ratio within the allowed ranges suggested
by the Planck and BICEP2 results.
|
[
{
"created": "Wed, 15 Oct 2014 10:01:19 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Nov 2014 02:17:47 GMT",
"version": "v2"
}
] |
2014-12-30
|
[
[
"Bamba",
"Kazuharu",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Sáez-Gómez",
"Diego",
""
]
] |
We investigate the descriptions for the observables of inflationary models, in particular, the spectral index of curvature perturbations, the tensor-to-scalar ratio, and the running of the spectral index, in the framework of perfect fluid models and $F(R)$ gravity theories through the reconstruction methods. Furthermore, the perfect fluid and $F(R)$ gravity descriptions of inflation are compared with the recent cosmological observations such as the Planck satellite and BICEP2 experiment. It is demonstrated with explicit examples that perfect fluid may lead to the inflationary universe consistent with the Planck data. It is also shown that several $F(R)$ gravity models, especially, a power-law model gives the best fit values compatible with the spectral index and tensor-to-scalar ratio within the allowed ranges suggested by the Planck and BICEP2 results.
|
hep-th/0107057
|
Matteo Bertolini
|
M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda, R. Marotta
|
N=2 Gauge theories on systems of fractional D3/D7 branes
|
latex, 22 pages. Typos fixed, appendix expanded, some points
clarified and references added
|
Nucl.Phys. B621 (2002) 157-178
|
10.1016/S0550-3213(01)00568-5
|
NORDITA-2001/15 HE, DFTT 20/2001
|
hep-th
| null |
We study a bound state of fractional D3/D7-branes in the ten-dimensional
space R^{1,5}*R^{4}/Z_2 using the boundary state formalism. We construct the
boundary actions for this system and show that higher order terms in the
twisted fields are needed in order to satisfy the zero-force condition. We then
find the classical background associated to the bound state and show that the
gauge theory living on a probe fractional D3-brane correctly reproduces the
perturbative behavior of a four-dimensional N=2 supersymmetric gauge theory
with fundamental matter.
|
[
{
"created": "Fri, 6 Jul 2001 18:54:38 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2001 14:05:55 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bertolini",
"M.",
""
],
[
"Di Vecchia",
"P.",
""
],
[
"Frau",
"M.",
""
],
[
"Lerda",
"A.",
""
],
[
"Marotta",
"R.",
""
]
] |
We study a bound state of fractional D3/D7-branes in the ten-dimensional space R^{1,5}*R^{4}/Z_2 using the boundary state formalism. We construct the boundary actions for this system and show that higher order terms in the twisted fields are needed in order to satisfy the zero-force condition. We then find the classical background associated to the bound state and show that the gauge theory living on a probe fractional D3-brane correctly reproduces the perturbative behavior of a four-dimensional N=2 supersymmetric gauge theory with fundamental matter.
|
1712.07786
|
Chris Halcrow
|
C. J. Halcrow, N. S. Manton and J. I. Rawlinson
|
Quantized Skyrmions from SU(4) Weight Diagrams
|
31 pages, 5 figures
|
Phys. Rev. C 97, 034307 (2018)
|
10.1103/PhysRevC.97.034307
|
DAMTP-2017-43
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from solutions of the lightly-bound Skyrme model, we construct many
new Skyrmion solutions of the standard Skyrme model with tetrahedral or
octahedral symmetry. These solutions are closely related to weight diagrams of
the group SU(4), which enables us to systematically derive some geometric and
energetic properties of the Skyrmions, up to baryon number 85. We discuss the
rigid body quantization of these Skyrmions, and compare the results with
properties of a selection of observed nuclei.
|
[
{
"created": "Thu, 21 Dec 2017 04:08:55 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Halcrow",
"C. J.",
""
],
[
"Manton",
"N. S.",
""
],
[
"Rawlinson",
"J. I.",
""
]
] |
Starting from solutions of the lightly-bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid body quantization of these Skyrmions, and compare the results with properties of a selection of observed nuclei.
|
hep-th/9911071
|
Marty Stock
|
R. Jackiw
|
What good are quantum field theory infinities?
|
13 pages, 1 figure using BoxedEPSF, amsmath macros; contribution to
Mathematical Physics 2000, Imperial College Press, London, UK; email to
jackiw@ralph2.mit.edu
| null | null |
MIT-CTP No. 2918
|
hep-th physics.hist-ph
| null |
A lesson for the new millennium from quantum field theory: Not all
field-theoretic infinities are bad. Some give rise to finite, symmetry-breaking
effects, whose consequences are observed in Nature.
|
[
{
"created": "Wed, 10 Nov 1999 22:19:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jackiw",
"R.",
""
]
] |
A lesson for the new millennium from quantum field theory: Not all field-theoretic infinities are bad. Some give rise to finite, symmetry-breaking effects, whose consequences are observed in Nature.
|
hep-th/9902157
|
Alexios P. Polychronakos
|
Alexios P. Polychronakos
|
Generalized statistics in one dimension
|
Les Houches 1998 Lectures; 54 pages, LaTeX
| null | null |
UUITP-1/99
|
hep-th cond-mat nlin.SI quant-ph solv-int
| null |
An exposition of the different definitions and approaches to quantum
statistics is given, with emphasis in one-dimensional situations. Permutation
statistics, scattering statistics and exclusion statistics are analyzed. The
Calogero model, matrix model and spin chain models constitute specific
realizations.
|
[
{
"created": "Tue, 23 Feb 1999 07:53:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Polychronakos",
"Alexios P.",
""
]
] |
An exposition of the different definitions and approaches to quantum statistics is given, with emphasis in one-dimensional situations. Permutation statistics, scattering statistics and exclusion statistics are analyzed. The Calogero model, matrix model and spin chain models constitute specific realizations.
|
2010.01444
|
Shinobu Hikami
|
S. Hikami and E. Brezin
|
Punctures and p-spin curves from matrix models II
|
27 pages
| null |
10.1007/s10955-021-02776-4
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report here an extension of a previous work in which we have shown that
matrix models provide a tool to compute the intersection numbers of p-spin
curves. We discuss further an extension to half-integer p, and in more details
for p=1/2 and p=3/2. In those new cases one finds contributions from the Ramond
sector, which were not present for positive integer p.The existence of Virasoro
constraints, in particular a string equation, is considered also for
half-integral spins. The contribution of the boundary of a Riemann surface, is
investigated through a logarithmic matrix model The supersymmetric random
matrices provide extensions to mixed positive and negative p punctures.
|
[
{
"created": "Sat, 3 Oct 2020 23:43:12 GMT",
"version": "v1"
}
] |
2021-06-02
|
[
[
"Hikami",
"S.",
""
],
[
"Brezin",
"E.",
""
]
] |
We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an extension to half-integer p, and in more details for p=1/2 and p=3/2. In those new cases one finds contributions from the Ramond sector, which were not present for positive integer p.The existence of Virasoro constraints, in particular a string equation, is considered also for half-integral spins. The contribution of the boundary of a Riemann surface, is investigated through a logarithmic matrix model The supersymmetric random matrices provide extensions to mixed positive and negative p punctures.
|
hep-th/0409288
|
Richard Szabo
|
L. Griguolo, D. Seminara and R.J. Szabo
|
Double Scaling String Theory of QCD in Two Dimensions
|
7 pages; Based on invited talk given by R.J.S. at ``Recent
Developments in String/M-Theory and Field Theory'', 37th International
Symposium Ahrenshoop on the Theory of Elementary Particles,
Berlin-Schmoeckwitz, Germany, August 23--27 2004; to be published in
Fortschritte der Physik
|
Fortsch.Phys. 53 (2005) 615-620
|
10.1002/prop.200410228
|
HWM-04-18, EMPG-04-08
|
hep-th math.AG
| null |
We describe a novel double scaling limit of large N Yang-Mills theory on a
two-dimensional torus and its relation to the geometry of the principal moduli
spaces of holomorphic differentials.
|
[
{
"created": "Tue, 28 Sep 2004 12:12:30 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Griguolo",
"L.",
""
],
[
"Seminara",
"D.",
""
],
[
"Szabo",
"R. J.",
""
]
] |
We describe a novel double scaling limit of large N Yang-Mills theory on a two-dimensional torus and its relation to the geometry of the principal moduli spaces of holomorphic differentials.
|
2205.14187
|
Karapet Mkrtchyan
|
Karapet Mkrtchyan, Mantas Svazas
|
Solutions in Nonlinear Electrodynamics and their double copy regular
black holes
|
18+ appendices and references
| null |
10.1007/JHEP09(2022)012
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study solutions in non-linear electrodynamics (NED) and establish several
general results. We show, that the $SO(2)$ electric-magnetic duality symmetry
is restrictive enough to allow for reconstruction of the NED Lagrangian from
the spherically-symmetric electrostatic (Coulomb-like) solution -- although
there are infinitely many different NED theories admitting a given solution,
there exists a unique $SO(2)$ invariant one among them. We introduce a general
algorithm for constructing new $SO(2)$ invariant NED theories in the
conventional approach, where only a few examples are available. We also show
how to derive the Lagrangian of the $SO(2)$ invariant theory admitting a given
electrostatic solution. We further show on a simple example that some NED
theories may require sources (particles) of finite (non-zero) size. Such a
non-zero size source not only regularizes the infinite energy of the point
charge but also satisfies the condition of regularity, that the electric field
is zero at the origin. The latter condition was identified earlier as necessary
and sufficient for the NED solution to generate a regular black hole via
so-called double copy construction and is also satisfied by solitons. We
propose a large class of solitonic NED solutions that give rise to regular
black holes via double copy construction and contain solutions of Maxwell and
Born-Infeld as different limits. This class of NED solutions acquires two new
properties in the limit where the corresponding regular black hole's
asymptotics becomes Minkowski: it gives rise to regular higher-spin black holes
via generalization of double copy -- ``higher-copy'' construction, and for very
short distances changes the sign of the force becoming repulsive/attractive for
opposite/similar signs of charges.
|
[
{
"created": "Fri, 27 May 2022 18:33:40 GMT",
"version": "v1"
}
] |
2022-09-21
|
[
[
"Mkrtchyan",
"Karapet",
""
],
[
"Svazas",
"Mantas",
""
]
] |
We study solutions in non-linear electrodynamics (NED) and establish several general results. We show, that the $SO(2)$ electric-magnetic duality symmetry is restrictive enough to allow for reconstruction of the NED Lagrangian from the spherically-symmetric electrostatic (Coulomb-like) solution -- although there are infinitely many different NED theories admitting a given solution, there exists a unique $SO(2)$ invariant one among them. We introduce a general algorithm for constructing new $SO(2)$ invariant NED theories in the conventional approach, where only a few examples are available. We also show how to derive the Lagrangian of the $SO(2)$ invariant theory admitting a given electrostatic solution. We further show on a simple example that some NED theories may require sources (particles) of finite (non-zero) size. Such a non-zero size source not only regularizes the infinite energy of the point charge but also satisfies the condition of regularity, that the electric field is zero at the origin. The latter condition was identified earlier as necessary and sufficient for the NED solution to generate a regular black hole via so-called double copy construction and is also satisfied by solitons. We propose a large class of solitonic NED solutions that give rise to regular black holes via double copy construction and contain solutions of Maxwell and Born-Infeld as different limits. This class of NED solutions acquires two new properties in the limit where the corresponding regular black hole's asymptotics becomes Minkowski: it gives rise to regular higher-spin black holes via generalization of double copy -- ``higher-copy'' construction, and for very short distances changes the sign of the force becoming repulsive/attractive for opposite/similar signs of charges.
|
0903.2872
|
Satchidananda Naik
|
Satchidananda Naik
|
Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory
in Twistor Space
|
18 pages, latex file
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
A Closed string field theory action is formulated for $\mathcal N$ =8
self-dual supergravity which is off-shell and Lorentz covariant. The bosonic
truncation in the quantum field theory limit gives the Plebanski type of action
in the super space.
|
[
{
"created": "Mon, 16 Mar 2009 23:05:04 GMT",
"version": "v1"
}
] |
2009-03-18
|
[
[
"Naik",
"Satchidananda",
""
]
] |
A Closed string field theory action is formulated for $\mathcal N$ =8 self-dual supergravity which is off-shell and Lorentz covariant. The bosonic truncation in the quantum field theory limit gives the Plebanski type of action in the super space.
|
hep-th/9303075
|
Robert Lacaze
|
T. Bhattacharya, R. Lacaze and A. Morel
|
The free energy of the Potts model: from the continuous to the
first-order transition region
|
11 pages, plain tex with 3 Postscript figures included Postscript
file available by anonymous ftp://amoco.saclay.cea.fr/pubs.spht/93-022.ps
|
Europhys.Lett.23:547,1993
|
10.1209/0295-5075/23/8/002
|
SPht-93/022
|
hep-th cond-mat hep-lat
| null |
We present a large $q$ expansion of the 2d $q$-states Potts model free
energies up to order 9 in $1/\sqrt{q}$. Its analysis leads us to an ansatz
which, in the first-order region, incorporates properties inferred from the
known critical regime at $q=4$, and predicts, for $q>4$, the $n^{\rm th}$
energy cumulant scales as the power $(3 n /2-2)$ of the correlation length. The
parameter-free energy distributions reproduce accurately, without reference to
any interface effect, the numerical data obtained in a simulation for $q=10$
with lattices of linear dimensions up to L=50. The pure phase specific heats
are predicted to be much larger, at $q\leq10$, than the values extracted from
current finite size scaling analysis of extrema. Implications for safe
numerical determinations of interface tensions are discussed.
|
[
{
"created": "Fri, 12 Mar 1993 08:52:10 GMT",
"version": "v1"
}
] |
2010-12-17
|
[
[
"Bhattacharya",
"T.",
""
],
[
"Lacaze",
"R.",
""
],
[
"Morel",
"A.",
""
]
] |
We present a large $q$ expansion of the 2d $q$-states Potts model free energies up to order 9 in $1/\sqrt{q}$. Its analysis leads us to an ansatz which, in the first-order region, incorporates properties inferred from the known critical regime at $q=4$, and predicts, for $q>4$, the $n^{\rm th}$ energy cumulant scales as the power $(3 n /2-2)$ of the correlation length. The parameter-free energy distributions reproduce accurately, without reference to any interface effect, the numerical data obtained in a simulation for $q=10$ with lattices of linear dimensions up to L=50. The pure phase specific heats are predicted to be much larger, at $q\leq10$, than the values extracted from current finite size scaling analysis of extrema. Implications for safe numerical determinations of interface tensions are discussed.
|
hep-th/0008060
|
Jussi Kalkkinen
|
Roberto Iengo and Jussi Kalkkinen
|
Decay Modes of Highly Excited String States and Kerr Black Holes
|
18 pages, LaTeX, uses jhep class V2: Section 5 improved, references
and an appendix added
|
JHEP 0011:025,2000
|
10.1088/1126-6708/2000/11/025
|
SISSA 79/2000/EP
|
hep-th
| null |
We consider four-graviton scattering in Type II string theory on one-loop
level in the large centre of mass energy M^2 limit. We extract from it an
explicit integral expression for the full string theory corrections to the
imaginary part of the mass-shift and the lifetime of a massive state with the
highest allowed spin J=2M^2+2. We find a decay rate that is up to log M
corrections of order 1 in string units, times g_s^2. We also find that the
dominant decay mode corresponds to the emission of light particles, whereas the
decay into two massive or two massless states is exponentially suppressed. We
discuss the relation of our results to quantum gravity aspects of a Kerr Black
Hole.
|
[
{
"created": "Mon, 7 Aug 2000 12:29:16 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2000 15:11:03 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Iengo",
"Roberto",
""
],
[
"Kalkkinen",
"Jussi",
""
]
] |
We consider four-graviton scattering in Type II string theory on one-loop level in the large centre of mass energy M^2 limit. We extract from it an explicit integral expression for the full string theory corrections to the imaginary part of the mass-shift and the lifetime of a massive state with the highest allowed spin J=2M^2+2. We find a decay rate that is up to log M corrections of order 1 in string units, times g_s^2. We also find that the dominant decay mode corresponds to the emission of light particles, whereas the decay into two massive or two massless states is exponentially suppressed. We discuss the relation of our results to quantum gravity aspects of a Kerr Black Hole.
|
hep-th/9706173
|
Savvidis
|
G. Koutsoumbas, G. K. Savvidy and K. G. Savvidy
|
Phase structure of four-dimensional gonihedric spin system
|
14 pages, Latex, 10 figures
|
Phys.Lett. B410 (1997) 241-249
|
10.1016/S0370-2693(97)00978-7
|
DEMO-HEP 97/05 July 97
|
hep-th
| null |
We perform Monte Carlo simulations of a gauge invariant spin system which
describes random surfaces with gonihedric action in four dimensions. The
Hamiltonian is a mixture of one-plaquette and additional two- and
three-plaquette interaction terms with specially adjusted coupling constants.
For the system with the large self-intersection coupling constant $k$ we
observe the second-order phase transition at temperature $\beta_{c}\simeq
1.75$. The string tension is generated by quantum fluctuations as it was
expected theoretically. This result suggests the existence of a noncritical
string in four dimensions. For smaller values of $k$ the system undergoes the
first order phase transition and for $k$ close to zero exhibits a smooth
crossover.
|
[
{
"created": "Wed, 25 Jun 1997 17:28:41 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Koutsoumbas",
"G.",
""
],
[
"Savvidy",
"G. K.",
""
],
[
"Savvidy",
"K. G.",
""
]
] |
We perform Monte Carlo simulations of a gauge invariant spin system which describes random surfaces with gonihedric action in four dimensions. The Hamiltonian is a mixture of one-plaquette and additional two- and three-plaquette interaction terms with specially adjusted coupling constants. For the system with the large self-intersection coupling constant $k$ we observe the second-order phase transition at temperature $\beta_{c}\simeq 1.75$. The string tension is generated by quantum fluctuations as it was expected theoretically. This result suggests the existence of a noncritical string in four dimensions. For smaller values of $k$ the system undergoes the first order phase transition and for $k$ close to zero exhibits a smooth crossover.
|
1601.04624
|
Napat Poovuttikul
|
Piyabut Burikham, Napat Poovuttikul
|
Shear viscosity in holography and effective theory of transport without
translational symmetry
|
revtex, 1+25 pages, 4 figures, references added, typo corrected,
clarify interpretation in section III.C
|
Phys. Rev. D 94, 106001 (2016)
|
10.1103/PhysRevD.94.106001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the shear viscosity in an effective hydrodynamic theory and
holographic model where the translational symmetry is broken by massless scalar
fields. We identify the shear viscosity, $\eta$, from the coefficient of the
shear tensor in the modified constitutive relation, constructed from
thermodynamic quantities, fluid velocity and the scalar fields, which break the
translational symmetry explicitly. Our construction of constitutive relation is
inspired by those derived from the fluid/gravity correspondence in the weakly
disordered limit $m/T \ll 1$. We show that the shear viscosity from the
constitutive relation deviates from the one obtained from the usual expression,
$\eta^\star = -\lim_{\omega\to 0}(1/\omega) \text{Im}
G^{R}_{T^{xy}T^{xy}}(\omega,k=0)$, even at the leading order in disorder
strength. In a simple holographic model with broken translational symmetry, we
show that both $\eta/s$ and ${\eta}^\star/s$ violate the bound of
viscosity-entropy ratio for arbitrary disorder strength.
|
[
{
"created": "Mon, 18 Jan 2016 17:53:25 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2016 18:15:54 GMT",
"version": "v2"
}
] |
2016-11-09
|
[
[
"Burikham",
"Piyabut",
""
],
[
"Poovuttikul",
"Napat",
""
]
] |
We study the shear viscosity in an effective hydrodynamic theory and holographic model where the translational symmetry is broken by massless scalar fields. We identify the shear viscosity, $\eta$, from the coefficient of the shear tensor in the modified constitutive relation, constructed from thermodynamic quantities, fluid velocity and the scalar fields, which break the translational symmetry explicitly. Our construction of constitutive relation is inspired by those derived from the fluid/gravity correspondence in the weakly disordered limit $m/T \ll 1$. We show that the shear viscosity from the constitutive relation deviates from the one obtained from the usual expression, $\eta^\star = -\lim_{\omega\to 0}(1/\omega) \text{Im} G^{R}_{T^{xy}T^{xy}}(\omega,k=0)$, even at the leading order in disorder strength. In a simple holographic model with broken translational symmetry, we show that both $\eta/s$ and ${\eta}^\star/s$ violate the bound of viscosity-entropy ratio for arbitrary disorder strength.
|
1803.05634
|
Urs Schreiber
|
Domenico Fiorenza, Hisham Sati, Urs Schreiber
|
Higher T-duality of super M-branes
|
51 pages, 2 figures, v2 has some typos fixed
|
Adv. in Math. and Theor. Phys., Vol. 24, No. 3 (2020), pp. 621-708
|
10.4310/ATMP.2020.v24.n3.a3
| null |
hep-th math-ph math.AT math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a higher generalization of super L-infinity-algebraic T-duality
of super WZW-terms for super p-branes. In particular, we demonstrate spherical
T-duality of super M5-branes propagating on exceptional-geometric 11d super
spacetime.
|
[
{
"created": "Thu, 15 Mar 2018 08:37:35 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 07:26:25 GMT",
"version": "v2"
}
] |
2020-08-21
|
[
[
"Fiorenza",
"Domenico",
""
],
[
"Sati",
"Hisham",
""
],
[
"Schreiber",
"Urs",
""
]
] |
We establish a higher generalization of super L-infinity-algebraic T-duality of super WZW-terms for super p-branes. In particular, we demonstrate spherical T-duality of super M5-branes propagating on exceptional-geometric 11d super spacetime.
|
hep-th/9512127
|
Donam Youm
|
Mirjam Cvetic and Donam Youm
|
General Static Spherically Symmetric Black Holes of Heterotic String on
a Six Torus
|
21 pages, uses RevTeX, the revised version to appear in Nuclear
Physics B (explicit O(6,22) and SL(2,R) transformations are imposed on the
generating solution, and the discussions on previously known solutions as
special cases of the generating solutions are added.)
|
Nucl.Phys.B472:249-267,1996
|
10.1016/0550-3213(96)00219-2
|
IASSNS-HEP-95/107,PUPT-1582
|
hep-th gr-qc
| null |
We present the most general static, spherically symmetric solutions of
heterotic string compactified on a six-torus that conforms to the conjectured
``no-hair theorem'', by performing a subset of O(8,24) transformations, i.e.,
symmetry transformations of the effective three-dimensional action for
stationary solutions, on the Schwarzschild solution. The explicit form of the
generating solution is determined by six $SO(1,1)\subset O(8,24)$ boosts, with
the zero Taub-NUT charge constraint imposing one constraint among two boost
parameters. The non-nontrivial scalar fields are the axion-dilaton field and
the moduli of the two-torus. The general solution, parameterized by {\it
unconstrained} 28 magnetic and 28 electric charges and the ADM mass compatible
with the Bogomol'nyi bound, is obtained by imposing on the generating solution
$[SO(6)\times SO(22)]/[SO(4)\times SO(20)] \subset O(6,22)$ (T-duality)
transformation and $SO(2)\subset SL(2,R)$ (S-duality) transformation, which do
not affect the four-dimensional space-time. Depending on the range of boost
parameters, the non-extreme solutions have the space-time of either
Schwarzschild or Reissner-Nordstr\" om black hole, while extreme ones have
either null (or naked) singularity, or the space-time of extreme
Reissner-Nordstr\" om black hole.
|
[
{
"created": "Mon, 18 Dec 1995 06:41:35 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 1996 21:13:20 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Youm",
"Donam",
""
]
] |
We present the most general static, spherically symmetric solutions of heterotic string compactified on a six-torus that conforms to the conjectured ``no-hair theorem'', by performing a subset of O(8,24) transformations, i.e., symmetry transformations of the effective three-dimensional action for stationary solutions, on the Schwarzschild solution. The explicit form of the generating solution is determined by six $SO(1,1)\subset O(8,24)$ boosts, with the zero Taub-NUT charge constraint imposing one constraint among two boost parameters. The non-nontrivial scalar fields are the axion-dilaton field and the moduli of the two-torus. The general solution, parameterized by {\it unconstrained} 28 magnetic and 28 electric charges and the ADM mass compatible with the Bogomol'nyi bound, is obtained by imposing on the generating solution $[SO(6)\times SO(22)]/[SO(4)\times SO(20)] \subset O(6,22)$ (T-duality) transformation and $SO(2)\subset SL(2,R)$ (S-duality) transformation, which do not affect the four-dimensional space-time. Depending on the range of boost parameters, the non-extreme solutions have the space-time of either Schwarzschild or Reissner-Nordstr\" om black hole, while extreme ones have either null (or naked) singularity, or the space-time of extreme Reissner-Nordstr\" om black hole.
|
0704.3220
|
Peter Horvathy
|
P. A. Horvathy
|
Lectures on (abelian) Chern-Simons vortices
|
51 pages, 9 figures. Lectures delivered at NIKHEF (Amsterdam), July
2006
| null | null | null |
hep-th
| null |
Various aspects including the construction and the symmetries of Abelian
Chern-Simons vortices are reviewed. Extended version of the Lectures delivered
at NIKHEF (Amsterdam), July 2006. Typos corrected, some refernces added.
|
[
{
"created": "Tue, 24 Apr 2007 15:43:22 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2007 13:41:18 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Horvathy",
"P. A.",
""
]
] |
Various aspects including the construction and the symmetries of Abelian Chern-Simons vortices are reviewed. Extended version of the Lectures delivered at NIKHEF (Amsterdam), July 2006. Typos corrected, some refernces added.
|
1408.4567
|
Jay Armas
|
Jay Armas
|
Uniqueness of Black Holes with Bubbles in Minimal Supergravity
|
v2: 16pp, 4figures, presentation improved, minor clarifications,
refs. added, to be published in Class. Quantum Grav
|
Class.Quant.Grav. 32 (2015) 4, 045001
|
10.1088/0264-9381/32/4/045001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalise uniqueness theorems for non-extremal black holes with three
mutually independent Killing vector fields in five-dimensional minimal
supergravity in order to account for the existence of non-trivial 2-cycles in
the domain of outer communication. The black hole space-times we consider may
contain multiple disconnected horizons and be asymptotically flat or
asymptotically Kaluza-Klein. We show that in order to uniquely specify the
black hole space-time, besides providing its domain structure and a set of
asymptotic and local charges, it is necessary to measure the magnetic fluxes
that support the 2-cycles as well as fluxes in the two semi-infinite rotation
planes of the domain diagram.
|
[
{
"created": "Wed, 20 Aug 2014 09:08:53 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2014 15:28:39 GMT",
"version": "v2"
}
] |
2015-05-22
|
[
[
"Armas",
"Jay",
""
]
] |
We generalise uniqueness theorems for non-extremal black holes with three mutually independent Killing vector fields in five-dimensional minimal supergravity in order to account for the existence of non-trivial 2-cycles in the domain of outer communication. The black hole space-times we consider may contain multiple disconnected horizons and be asymptotically flat or asymptotically Kaluza-Klein. We show that in order to uniquely specify the black hole space-time, besides providing its domain structure and a set of asymptotic and local charges, it is necessary to measure the magnetic fluxes that support the 2-cycles as well as fluxes in the two semi-infinite rotation planes of the domain diagram.
|
1908.07989
|
Dmitri Vassilevich
|
J. Mateos Guilarte, Dmitri Vassilevich
|
Fractional Fermion Number and Hall Conductivity of Domain Walls
|
9 pages
|
Phys. Lett. B 797 (2019) 134935
|
10.1016/j.physletb.2019.134935
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter the fractional fermion number of thick domain walls is
computed. The analysis is achieved by developing the heat kernel expansion of
the spectral eta functon of the Dirac Hamiltonian governing the fermionic
fluctuations around the domain wall. A formula is derived showing that a non
null fermion number is always accompanied by a Hall conductivity induced on the
wall. In the limit of thin and impenetrable walls the chiral bag boundary
conditions arise, and the Hall conductivity is computed for this case as well.
|
[
{
"created": "Wed, 21 Aug 2019 17:07:46 GMT",
"version": "v1"
}
] |
2019-09-16
|
[
[
"Guilarte",
"J. Mateos",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] |
In this letter the fractional fermion number of thick domain walls is computed. The analysis is achieved by developing the heat kernel expansion of the spectral eta functon of the Dirac Hamiltonian governing the fermionic fluctuations around the domain wall. A formula is derived showing that a non null fermion number is always accompanied by a Hall conductivity induced on the wall. In the limit of thin and impenetrable walls the chiral bag boundary conditions arise, and the Hall conductivity is computed for this case as well.
|
1502.03087
|
Keith R. Dienes
|
Steven Abel, Keith R. Dienes, Eirini Mavroudi
|
Towards a Non-Supersymmetric String Phenomenology
|
66 pages + 4 appendices, LaTeX, 9 figures, 11 tables
|
Phys. Rev. D 91, 126014 (2015)
|
10.1103/PhysRevD.91.126014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Over the past three decades, considerable effort has been devoted to studying
the rich and diverse phenomenologies of heterotic strings exhibiting spacetime
supersymmetry. Unfortunately, during this same period, there has been
relatively little work studying the phenomenologies associated with their
non-supersymmetric counterparts. The primary reason for this relative lack of
attention is the fact that strings without spacetime supersymmetry are
generally unstable, exhibiting large one-loop dilaton tadpoles. In this paper,
we demonstrate that this hurdle can be overcome in a class of tachyon-free
four-dimensional string models realized through coordinate-dependent
compactifications. Moreover, as we shall see, it is possible to construct
models in this class whose low-lying states resemble the Standard Model (or
even potential unified extensions thereof) --- all without any light
superpartners, and indeed without supersymmetry at any energy scale. The
existence of such models thus opens the door to general studies of
non-supersymmetric string phenomenology, and in this paper we proceed to
discuss a variety of theoretical and phenomenological issues associated with
such non-supersymmetric strings. On the theoretical side, we discuss the
finiteness properties of such strings, the general characteristics of their
mass spectra, the magnitude and behavior of their one-loop cosmological
constants, and their interpolation properties. By contrast, on the
phenomenological side, the properties we discuss are more model-specific and
include their construction techniques, their natural energy scales, their
particle and charge assignments, and the magnitudes of their associated Yukawa
couplings and scalar masses.
|
[
{
"created": "Tue, 10 Feb 2015 20:55:48 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2015 18:04:00 GMT",
"version": "v2"
}
] |
2015-07-01
|
[
[
"Abel",
"Steven",
""
],
[
"Dienes",
"Keith R.",
""
],
[
"Mavroudi",
"Eirini",
""
]
] |
Over the past three decades, considerable effort has been devoted to studying the rich and diverse phenomenologies of heterotic strings exhibiting spacetime supersymmetry. Unfortunately, during this same period, there has been relatively little work studying the phenomenologies associated with their non-supersymmetric counterparts. The primary reason for this relative lack of attention is the fact that strings without spacetime supersymmetry are generally unstable, exhibiting large one-loop dilaton tadpoles. In this paper, we demonstrate that this hurdle can be overcome in a class of tachyon-free four-dimensional string models realized through coordinate-dependent compactifications. Moreover, as we shall see, it is possible to construct models in this class whose low-lying states resemble the Standard Model (or even potential unified extensions thereof) --- all without any light superpartners, and indeed without supersymmetry at any energy scale. The existence of such models thus opens the door to general studies of non-supersymmetric string phenomenology, and in this paper we proceed to discuss a variety of theoretical and phenomenological issues associated with such non-supersymmetric strings. On the theoretical side, we discuss the finiteness properties of such strings, the general characteristics of their mass spectra, the magnitude and behavior of their one-loop cosmological constants, and their interpolation properties. By contrast, on the phenomenological side, the properties we discuss are more model-specific and include their construction techniques, their natural energy scales, their particle and charge assignments, and the magnitudes of their associated Yukawa couplings and scalar masses.
|
hep-th/9204030
|
Ignatios Antoniadis
|
I. Antoniadis, E. Gava and K.S. Narain
|
Moduli Corrections to Gauge and Gravitational Couplings in four
dimensional Superstrings
|
19 pages
|
Nucl.Phys. B383 (1992) 93-109
|
10.1016/0550-3213(92)90672-X
| null |
hep-th
| null |
We study one-loop, moduli-dependent corrections to gauge and gravitational
couplings in supersymmetric vacua of the heterotic string. By exploiting their
relation to the integrability condition for the associated CP-odd couplings, we
derive general expressions for them, both for $(2,2)$ and $(2,0)$ models, in
terms of tree level four-point functions in the internal $N=2$ superconformal
theory. The $(2,2)$ case, in particular symmetric orbifolds, is discussed in
detail.
|
[
{
"created": "Mon, 13 Apr 1992 09:35:52 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 1992 08:07:16 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Antoniadis",
"I.",
""
],
[
"Gava",
"E.",
""
],
[
"Narain",
"K. S.",
""
]
] |
We study one-loop, moduli-dependent corrections to gauge and gravitational couplings in supersymmetric vacua of the heterotic string. By exploiting their relation to the integrability condition for the associated CP-odd couplings, we derive general expressions for them, both for $(2,2)$ and $(2,0)$ models, in terms of tree level four-point functions in the internal $N=2$ superconformal theory. The $(2,2)$ case, in particular symmetric orbifolds, is discussed in detail.
|
2211.07029
|
Vladimir Narovlansky
|
Igor R. Klebanov, Vladimir Narovlansky, Zimo Sun, Grigory Tarnopolsky
|
Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$
Minimal Model
|
24 pages, 2 figures; v3: additional symmetry constraints pointed out,
references added
| null |
10.1007/JHEP02(2023)066
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A pair of the 2D non-unitary minimal models $M(2,5)$ is known to be
equivalent to a variant of the $M(3,10)$ minimal model. We discuss the RG flow
from this model to another non-unitary minimal model, $M(3,8)$. This provides
new evidence for its previously proposed Ginzburg-Landau description, which is
a $\mathbb{Z}_2$ symmetric theory of two scalar fields with cubic interactions.
We also point out that $M(3,8)$ is equivalent to the $(2,8)$ superconformal
minimal model with the diagonal modular invariant. Using the 5-loop results for
theories of scalar fields with cubic interactions, we exhibit the $6-\epsilon$
expansions of the dimensions of various operators. Their extrapolations are in
quite good agreement with the exact results in 2D. We also use them to
approximate the scaling dimensions in $d=3,4,5$ for the theories in the
$M(3,8)$ universality class.
|
[
{
"created": "Sun, 13 Nov 2022 22:14:33 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2022 21:49:23 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jan 2023 19:03:47 GMT",
"version": "v3"
}
] |
2023-02-22
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Narovlansky",
"Vladimir",
""
],
[
"Sun",
"Zimo",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] |
A pair of the 2D non-unitary minimal models $M(2,5)$ is known to be equivalent to a variant of the $M(3,10)$ minimal model. We discuss the RG flow from this model to another non-unitary minimal model, $M(3,8)$. This provides new evidence for its previously proposed Ginzburg-Landau description, which is a $\mathbb{Z}_2$ symmetric theory of two scalar fields with cubic interactions. We also point out that $M(3,8)$ is equivalent to the $(2,8)$ superconformal minimal model with the diagonal modular invariant. Using the 5-loop results for theories of scalar fields with cubic interactions, we exhibit the $6-\epsilon$ expansions of the dimensions of various operators. Their extrapolations are in quite good agreement with the exact results in 2D. We also use them to approximate the scaling dimensions in $d=3,4,5$ for the theories in the $M(3,8)$ universality class.
|
hep-th/9311090
|
Jadczyk
|
Ph. Blanchard and A. Jadczyk
|
From Quantum Probabilities to Classical Facts
|
17 pages (the revised version: puts a different weight on "meaning of
the wave function")
| null | null | null |
hep-th
| null |
Model interactions between classical and quantum systems are briefly
reviewed. These include: general measurement - like couplings, Stern-Gerlach
experiment, model of a counter, quantum Zeno effect, piecewise deterministic
Markov processes and meaning of the wave function.
|
[
{
"created": "Tue, 16 Nov 1993 19:28:54 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 1993 08:12:44 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Blanchard",
"Ph.",
""
],
[
"Jadczyk",
"A.",
""
]
] |
Model interactions between classical and quantum systems are briefly reviewed. These include: general measurement - like couplings, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, piecewise deterministic Markov processes and meaning of the wave function.
|
2407.16391
|
Amin Faraji Astaneh
|
Amin Faraji Astaneh
|
Holographic Action Principle for $T\bar{T}$-deformation
|
14 pages, Refs added
| null | null | null |
hep-th cond-mat.stat-mech gr-qc math.DG
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We explore the action principle for the holographic $T\bar{T}$-deformation.
We develop a scheme in which one can holographically reproduce the action of
the Liouville theory deformed by $T\bar{T}$-insertion. This scheme necessitates
considering the bending energy of the finite cut-off surface. Following our
proposal, one observes a perfect match between the actions of deformed theory
on the field theory and gravity sides.
|
[
{
"created": "Tue, 23 Jul 2024 11:25:26 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2024 05:15:19 GMT",
"version": "v2"
}
] |
2024-07-30
|
[
[
"Astaneh",
"Amin Faraji",
""
]
] |
We explore the action principle for the holographic $T\bar{T}$-deformation. We develop a scheme in which one can holographically reproduce the action of the Liouville theory deformed by $T\bar{T}$-insertion. This scheme necessitates considering the bending energy of the finite cut-off surface. Following our proposal, one observes a perfect match between the actions of deformed theory on the field theory and gravity sides.
|
hep-th/0305190
|
Y. B. Bergner
|
Y. Bergner, Luis M. A. Bettencourt
|
Dressing Up the Kink
|
13 pages, latex, 3 eps figures; revised with yet additional
references, minor rewording
|
Phys.Rev. D69 (2004) 045002
|
10.1103/PhysRevD.69.045002
|
MIT-CTP-3374, LAUR-03-3581
|
hep-th
| null |
Many quantum field theoretical models possess non-trivial solutions which are
stable for topological reasons. We construct a self-consistent example for a
self-interacting scalar field--the quantum (or dressed) kink--using a two
particle irreducible effective action in the Hartree approximation. This new
solution includes quantum fluctuations determined self-consistently and
nonperturbatively at the 1-loop resummed level and allowed to backreact on the
classical mean-field profile. This dressed kink is static under the familiar
Hartree equations for the time evolution of quantum fields. Because the quantum
fluctuation spectrum is lower lying in the presence of the defect, the quantum
kink has a lower rest energy than its classical counterpart. However its energy
is higher than well-known strict 1-loop results, where backreaction and
fluctuation self-interactions are omitted. We also show that the quantum kink
exists at finite temperature and that its profile broadens as temperature is
increased until it eventually disappears.
|
[
{
"created": "Wed, 21 May 2003 18:52:19 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2003 16:03:11 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jul 2003 23:54:01 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bergner",
"Y.",
""
],
[
"Bettencourt",
"Luis M. A.",
""
]
] |
Many quantum field theoretical models possess non-trivial solutions which are stable for topological reasons. We construct a self-consistent example for a self-interacting scalar field--the quantum (or dressed) kink--using a two particle irreducible effective action in the Hartree approximation. This new solution includes quantum fluctuations determined self-consistently and nonperturbatively at the 1-loop resummed level and allowed to backreact on the classical mean-field profile. This dressed kink is static under the familiar Hartree equations for the time evolution of quantum fields. Because the quantum fluctuation spectrum is lower lying in the presence of the defect, the quantum kink has a lower rest energy than its classical counterpart. However its energy is higher than well-known strict 1-loop results, where backreaction and fluctuation self-interactions are omitted. We also show that the quantum kink exists at finite temperature and that its profile broadens as temperature is increased until it eventually disappears.
|
hep-th/0301154
|
Stephen Pinsky
|
Stephen Pinsky
|
DLCQ On a Twisted Torus
|
8 pages
|
Phys.Lett. B557 (2003) 273-277
|
10.1016/S0370-2693(03)00204-1
| null |
hep-th
| null |
Recently it has been demonstrated by Dienes and Mafi, that the physics of
toroidal compactified models of extra dimensions can depend on the shape angle
of the torus. Toroidal compactification has also recently been used as a
regulator for numerical solutions of supersymmetric fields theories in 2+1
dimensions. The question is; does the shape angle of the torus also affect the
physics in this situation? Clearly a numerical solution should be independent
of the shape of the space we compactify on. We show that within the context of
standard DLCQ, that toroidal compactification is only allowed for a specific
set of shape angles and for that set of shape angles the numerical solutions
are unchanged.
|
[
{
"created": "Tue, 21 Jan 2003 19:19:37 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Pinsky",
"Stephen",
""
]
] |
Recently it has been demonstrated by Dienes and Mafi, that the physics of toroidal compactified models of extra dimensions can depend on the shape angle of the torus. Toroidal compactification has also recently been used as a regulator for numerical solutions of supersymmetric fields theories in 2+1 dimensions. The question is; does the shape angle of the torus also affect the physics in this situation? Clearly a numerical solution should be independent of the shape of the space we compactify on. We show that within the context of standard DLCQ, that toroidal compactification is only allowed for a specific set of shape angles and for that set of shape angles the numerical solutions are unchanged.
|
1212.4124
|
Yasuaki Hikida
|
Yasuaki Hikida
|
Conical defects and N=2 higher spin holography
|
32 pages, minor changes, appendix B added, to appear in JHEP
| null |
10.1007/JHEP08(2013)127
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study conical geometry with the maximal number of fermionic symmetry in
the higher spin supergravity described by sl(N+1|N) + sl(N+1|N) Chern-Simons
gauge theory. It was proposed that a three dimensional N=2 higher spin
supergravity is holographically dual to the N=(2,2) CP^N Kazama-Suzuki model.
Based one the duality, we find a map between conical geometries and primary
states in the dual CFT. In particular, we construct geometric solutions
corresponding to primary states in the RR-sector. The proposal is checked by
the comparison of a few charges and by the relation between null vectors and
higher spin symmetry.
|
[
{
"created": "Mon, 17 Dec 2012 20:14:52 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2012 12:38:02 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jan 2013 03:37:37 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Jul 2013 07:12:33 GMT",
"version": "v4"
}
] |
2015-06-12
|
[
[
"Hikida",
"Yasuaki",
""
]
] |
We study conical geometry with the maximal number of fermionic symmetry in the higher spin supergravity described by sl(N+1|N) + sl(N+1|N) Chern-Simons gauge theory. It was proposed that a three dimensional N=2 higher spin supergravity is holographically dual to the N=(2,2) CP^N Kazama-Suzuki model. Based one the duality, we find a map between conical geometries and primary states in the dual CFT. In particular, we construct geometric solutions corresponding to primary states in the RR-sector. The proposal is checked by the comparison of a few charges and by the relation between null vectors and higher spin symmetry.
|
2112.14237
|
Guillem P\'erez-Nadal
|
David Blanco, Tom\'as Ferreira Chase, Juan Laurnagaray, Guillem
P\'erez-Nadal
|
R\'enyi entropies of the massless Dirac field on the torus
|
11 pages, 8 figures
|
Phys. Rev. D 105 (2022) 4, 045014
|
10.1103/PhysRevD.105.045014
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the R\'enyi entropies of the massless Dirac field on the Euclidean
torus (the Lorentzian cylinder at non-zero temperature) for arbitrary spatial
regions. We do it by the resolvent method, i.e., we express the entropies in
terms of the resolvent of a certain operator and then use the explicit form of
that resolvent, which was obtained recently. Our results are different in
appearance from those already existing in the literature (obtained via the
replica trick), but they agree perfectly, as we show numerically for
non-integer order and analytically for integer order. We also compute the
R\'enyi mutual information, and find that, for appropriate choices of the
parameters, it is non-positive and non-monotonic. This behavior is expected,
but it cannot be seen with the simplest known R\'enyi entropies in quantum
field theory because they are proportional to the entanglement entropy.
|
[
{
"created": "Tue, 28 Dec 2021 17:50:30 GMT",
"version": "v1"
}
] |
2022-02-24
|
[
[
"Blanco",
"David",
""
],
[
"Chase",
"Tomás Ferreira",
""
],
[
"Laurnagaray",
"Juan",
""
],
[
"Pérez-Nadal",
"Guillem",
""
]
] |
We compute the R\'enyi entropies of the massless Dirac field on the Euclidean torus (the Lorentzian cylinder at non-zero temperature) for arbitrary spatial regions. We do it by the resolvent method, i.e., we express the entropies in terms of the resolvent of a certain operator and then use the explicit form of that resolvent, which was obtained recently. Our results are different in appearance from those already existing in the literature (obtained via the replica trick), but they agree perfectly, as we show numerically for non-integer order and analytically for integer order. We also compute the R\'enyi mutual information, and find that, for appropriate choices of the parameters, it is non-positive and non-monotonic. This behavior is expected, but it cannot be seen with the simplest known R\'enyi entropies in quantum field theory because they are proportional to the entanglement entropy.
|
hep-th/0210203
|
Hugo Compean
|
H. Garcia-Compean, O. Obregon, C. Ramirez, M. Sabido
|
Noncommutative Topological Theories of Gravity
|
17+1 pages, LaTeX, no figures, some clarifications, comments and
references added, style improved
|
Phys.Rev. D68 (2003) 045010
|
10.1103/PhysRevD.68.045010
|
CINVESTAV-FIS 02/77
|
hep-th
| null |
The possibility of noncommutative topological gravity arising in the same
manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to
construct such a theory based on a SL(2,C) complex connection, from which the
Euler characteristic and the signature invariant are obtained. This gives us a
way towards the description of noncommutative gravitational instantons as well
as noncommutative local gravitational anomalies.
|
[
{
"created": "Mon, 21 Oct 2002 21:45:54 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2002 20:11:01 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Garcia-Compean",
"H.",
""
],
[
"Obregon",
"O.",
""
],
[
"Ramirez",
"C.",
""
],
[
"Sabido",
"M.",
""
]
] |
The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained. This gives us a way towards the description of noncommutative gravitational instantons as well as noncommutative local gravitational anomalies.
|
2207.14813
|
Juven C. Wang
|
Juven Wang
|
CT or P Problem and Symmetric Gapped Fermion Solution
|
28 pages. Two classes of solutions, without or with the mirror
fermion sector. A companion to arXiv:2212.14036. Related models:
arXiv:1307.7480, arXiv:1807.05998, arXiv:2202.12355. v3: More misprints
corrected. New refinement and clarification upon the Physical Review D
version
|
Phys. Rev. D 106, 125007 (2022)
|
10.1103/PhysRevD.106.125007
| null |
hep-th cond-mat.str-el hep-lat hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
An analogous "Strong CP problem" is identified in a toy model in
2-dimensional spacetime: a general 1+1d abelian U(1) anomaly-free chiral
fermion and chiral gauge theory with a generic theta instanton term
$\frac{\theta}{2 \pi} \int F$. The theta term alone violates the
charge-conjugation-time-reversal CT and the parity P discrete symmetries. The
analogous puzzle here is the CT or P problem in 1+1d: Why can the
$\bar{\theta}$ angle (including the effect of $\theta$ and the complex phase of
a mass matrix) be zero or small for a natural reason? We show that this CT or P
problem can be solved by a Symmetric Mass Generation mechanism (SMG, namely
generating a mass or energy gap while preserving an anomaly-free symmetry).
This 1+1d toy model mimics several features of the 3+1d Standard Model: chiral
matter content, confinement, and Anderson-Higgs-induced mass by Yukawa-Higgs
term. One solution replaces some chiral fermion's Higgs-induced mean-field mass
with SMG-induced non-mean-field mass. Another solution enriches this toy model
by introducing several new physics beyond the Standard Model: a
parity-reflection PR discrete symmetry maps between the chiral and mirror
fermions as fermion doubling localized on two domain walls at high energy, and
SMG dynamically generates mass to the mirror fermion while still preserving the
anomaly-free chiral symmetry at an intermediate energy scale, much before the
Higgs mechanism generates mass to the chiral fermion at lower energy. Without
loss of generality, an arguably simplest 1+1d U(1) symmetric anomaly-free
chiral fermion/gauge theory (e.g., Weyl fermions with $3_L$-$4_L$-$5_R$-$0_R$
U(1) charges) is demonstrated. As an analogy to the superfluid-insulator or
order-disorder quantum phase transition, in contrast to the Peccei-Quinn
solution sitting in the (quasi-long-range-order) superfluid phase, our solution
is in the SMG insulator disordered phase.
|
[
{
"created": "Fri, 29 Jul 2022 17:59:20 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2022 17:59:31 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Jan 2023 02:02:02 GMT",
"version": "v3"
}
] |
2023-01-18
|
[
[
"Wang",
"Juven",
""
]
] |
An analogous "Strong CP problem" is identified in a toy model in 2-dimensional spacetime: a general 1+1d abelian U(1) anomaly-free chiral fermion and chiral gauge theory with a generic theta instanton term $\frac{\theta}{2 \pi} \int F$. The theta term alone violates the charge-conjugation-time-reversal CT and the parity P discrete symmetries. The analogous puzzle here is the CT or P problem in 1+1d: Why can the $\bar{\theta}$ angle (including the effect of $\theta$ and the complex phase of a mass matrix) be zero or small for a natural reason? We show that this CT or P problem can be solved by a Symmetric Mass Generation mechanism (SMG, namely generating a mass or energy gap while preserving an anomaly-free symmetry). This 1+1d toy model mimics several features of the 3+1d Standard Model: chiral matter content, confinement, and Anderson-Higgs-induced mass by Yukawa-Higgs term. One solution replaces some chiral fermion's Higgs-induced mean-field mass with SMG-induced non-mean-field mass. Another solution enriches this toy model by introducing several new physics beyond the Standard Model: a parity-reflection PR discrete symmetry maps between the chiral and mirror fermions as fermion doubling localized on two domain walls at high energy, and SMG dynamically generates mass to the mirror fermion while still preserving the anomaly-free chiral symmetry at an intermediate energy scale, much before the Higgs mechanism generates mass to the chiral fermion at lower energy. Without loss of generality, an arguably simplest 1+1d U(1) symmetric anomaly-free chiral fermion/gauge theory (e.g., Weyl fermions with $3_L$-$4_L$-$5_R$-$0_R$ U(1) charges) is demonstrated. As an analogy to the superfluid-insulator or order-disorder quantum phase transition, in contrast to the Peccei-Quinn solution sitting in the (quasi-long-range-order) superfluid phase, our solution is in the SMG insulator disordered phase.
|
hep-th/0107128
|
Fabio Zwirner
|
Jonathan Bagger, Ferruccio Feruglio and Fabio Zwirner
|
Generalized symmetry breaking on orbifolds
|
4 pages, 1 figure. Published version
|
Phys.Rev.Lett.88:101601,2002
|
10.1103/PhysRevLett.88.101601
|
DFPD-01/TH/31, ROME1-1318-01
|
hep-th hep-ph
| null |
We reconsider the phenomenon of mass generation via coordinate-dependent
compatifications of higher-dimensional theories on orbifolds. For definiteness,
we study a generic five-dimensional (5D) theory compactified on S^1/Z_2. We
show that the presence of fixed points, where the fields or their derivatives
may be discontinuous, permits new realizations of the Scherk-Schwarz mechanism
where, for example, the mass terms are localized at the orbifold fixed points.
Our technique can be used to describe the explicit breaking of global flavor
symmetries and supersymmetries by brane-localized mass terms. It can also be
applied to the spontaneous breaking of local symmetries, such as gauge
symmetries or supergravities.
|
[
{
"created": "Mon, 16 Jul 2001 22:39:45 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Dec 2001 03:12:27 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Feb 2002 21:33:35 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Bagger",
"Jonathan",
""
],
[
"Feruglio",
"Ferruccio",
""
],
[
"Zwirner",
"Fabio",
""
]
] |
We reconsider the phenomenon of mass generation via coordinate-dependent compatifications of higher-dimensional theories on orbifolds. For definiteness, we study a generic five-dimensional (5D) theory compactified on S^1/Z_2. We show that the presence of fixed points, where the fields or their derivatives may be discontinuous, permits new realizations of the Scherk-Schwarz mechanism where, for example, the mass terms are localized at the orbifold fixed points. Our technique can be used to describe the explicit breaking of global flavor symmetries and supersymmetries by brane-localized mass terms. It can also be applied to the spontaneous breaking of local symmetries, such as gauge symmetries or supergravities.
|
2106.01094
|
Bernardo Araneda
|
Bernardo Araneda
|
Double field theory, twistors, and integrability in 4-manifolds
|
62 pages, 2 figures
| null | null | null |
hep-th gr-qc math.DG
|
http://creativecommons.org/licenses/by/4.0/
|
The search for a geometrical understanding of dualities in string theory, in
particular T-duality, has led to the development of modern T-duality covariant
frameworks such as Double Field Theory, whose mathematical structure can be
understood in terms of generalized geometry and, more recently, para-Hermitian
geometry. In this work we apply techniques associated to this doubled geometry
to four-dimensional manifolds, and we show that they are particularly
well-suited to the analysis of integrability in special spacetimes, especially
in connection with Penrose's twistor theory and its applications to general
relativity. This shows a close relationship between some of the geometrical
structures in the para-Hermitian approach to double field theory and those in
algebraically special solutions to the Einstein equations. Particular results
include the classification of four-dimensional, possibly complex-valued,
(para-)Hermitian structures in different signatures, the Lie and Courant
algebroid structures of special spacetimes, and the analysis of deformations of
(para-)complex structures. We also discuss a notion of "weighted algebroids" in
relation to a natural gauge freedom in the framework. Finally, we analyse the
connection with two- and three-dimensional (real and complex) twistor spaces,
and how the former can be understood in terms of the latter, in particular in
terms of twistor families.
|
[
{
"created": "Wed, 2 Jun 2021 11:55:23 GMT",
"version": "v1"
}
] |
2021-06-03
|
[
[
"Araneda",
"Bernardo",
""
]
] |
The search for a geometrical understanding of dualities in string theory, in particular T-duality, has led to the development of modern T-duality covariant frameworks such as Double Field Theory, whose mathematical structure can be understood in terms of generalized geometry and, more recently, para-Hermitian geometry. In this work we apply techniques associated to this doubled geometry to four-dimensional manifolds, and we show that they are particularly well-suited to the analysis of integrability in special spacetimes, especially in connection with Penrose's twistor theory and its applications to general relativity. This shows a close relationship between some of the geometrical structures in the para-Hermitian approach to double field theory and those in algebraically special solutions to the Einstein equations. Particular results include the classification of four-dimensional, possibly complex-valued, (para-)Hermitian structures in different signatures, the Lie and Courant algebroid structures of special spacetimes, and the analysis of deformations of (para-)complex structures. We also discuss a notion of "weighted algebroids" in relation to a natural gauge freedom in the framework. Finally, we analyse the connection with two- and three-dimensional (real and complex) twistor spaces, and how the former can be understood in terms of the latter, in particular in terms of twistor families.
|
1412.4793
|
Cumrun Vafa
|
Sergio Cecotti, Andrew Neitzke and Cumrun Vafa
|
Twistorial Topological Strings and a tt* Geometry for N=2 Theories in 4d
|
100 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define twistorial topological strings by considering tt* geometry of the
4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega
background, which leads to quantization of the associated hyperKahler
geometries. We show that in one limit it reduces to the refined topological
string amplitude. In another limit it is a solution to a quantum
Riemann-Hilbert problem involving quantum Kontsevich-Soibelman operators. In a
further limit it encodes the hyperKahler integrable systems studied by GMN. In
the context of AGT conjecture, this perspective leads to a twistorial extension
of Toda. The 2d index of the half-Omega theory leads to the recently introduced
index for N=2 theories in 4d. The twistorial topological string can
alternatively be viewed, using the work of Nekrasov-Witten, as studying the
vacuum geometry of 4d N=2 supersymmetric theories on T^2x I where I is an
interval with specific boundary conditions at the two ends.
|
[
{
"created": "Mon, 15 Dec 2014 21:02:14 GMT",
"version": "v1"
}
] |
2014-12-17
|
[
[
"Cecotti",
"Sergio",
""
],
[
"Neitzke",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantization of the associated hyperKahler geometries. We show that in one limit it reduces to the refined topological string amplitude. In another limit it is a solution to a quantum Riemann-Hilbert problem involving quantum Kontsevich-Soibelman operators. In a further limit it encodes the hyperKahler integrable systems studied by GMN. In the context of AGT conjecture, this perspective leads to a twistorial extension of Toda. The 2d index of the half-Omega theory leads to the recently introduced index for N=2 theories in 4d. The twistorial topological string can alternatively be viewed, using the work of Nekrasov-Witten, as studying the vacuum geometry of 4d N=2 supersymmetric theories on T^2x I where I is an interval with specific boundary conditions at the two ends.
|
hep-th/9507015
|
P. K. Ghosh
|
Pijush K. Ghosh and Sanjay K. Ghosh
|
Topological and Nontopological Solitons in a Gauged O(3) Sigma Model
with Chern-Simons term
|
Few minor changes have been made. To appear in Phys. Lett. B
|
Phys.Lett. B366 (1996) 199-204
|
10.1016/0370-2693(95)01365-2
|
IP/BBSR/95-67
|
hep-th
| null |
The $O(3)$ nonlinear sigma model with its $U(1)$ subgroup gauged, where the
gauge field dynamics is solely governed by a Chern-Simons term, admits both
topological as well as nontopological self-dual soliton solutions for a
specific choice of the potential. It turns out that the topological solitons
are infinitely degenerate in any given sector.
|
[
{
"created": "Tue, 4 Jul 1995 03:43:41 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 1995 04:32:52 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ghosh",
"Pijush K.",
""
],
[
"Ghosh",
"Sanjay K.",
""
]
] |
The $O(3)$ nonlinear sigma model with its $U(1)$ subgroup gauged, where the gauge field dynamics is solely governed by a Chern-Simons term, admits both topological as well as nontopological self-dual soliton solutions for a specific choice of the potential. It turns out that the topological solitons are infinitely degenerate in any given sector.
|
hep-th/9501003
|
Robert Marnelius
|
Robert Marnelius, Ulrich Quaade
|
BRST quantization of gauge theories like SL(2,R) on inner product spaces
|
20 pages,latexfile
|
J.Math.Phys. 36 (1995) 3289-3307
|
10.1063/1.531031
|
ITP-G\"oteborg 94-39
|
hep-th
| null |
Some general formulas are derived for the solutions of a BRST quantization on
inner product spaces of finite dimensional bosonic gauge theories invariant
under arbitrary Lie groups. A detailed analysis is then performed of SL(2,R)
invariant models and some possible geometries of the Lagrange multipliers are
derived together with explicit results for a class of SL(2,R) models. Gauge
models invariant under a nonunimodular gauge group are also studied in some
detail.
|
[
{
"created": "Tue, 3 Jan 1995 12:11:53 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Marnelius",
"Robert",
""
],
[
"Quaade",
"Ulrich",
""
]
] |
Some general formulas are derived for the solutions of a BRST quantization on inner product spaces of finite dimensional bosonic gauge theories invariant under arbitrary Lie groups. A detailed analysis is then performed of SL(2,R) invariant models and some possible geometries of the Lagrange multipliers are derived together with explicit results for a class of SL(2,R) models. Gauge models invariant under a nonunimodular gauge group are also studied in some detail.
|
1612.08624
|
Arnab Kundu
|
Arnab Kundu, Nilay Kundu
|
Fundamental Flavours, Fields and Fixed Points: A Brief Account
|
32 pages, 6 figures, references added, published version
|
JHEP 1703 (2017) 071
|
10.1007/JHEP03(2017)071
|
YITP-16-146
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we report on a preliminary study, {\it via} Holography, of
infrared fixed points in a putative strongly coupled SU$(N_c)$ gauge theory,
with $N_f$ fundamental matter, in the presence of additional fields in the
fundamental sector, e.g. density or a magnetic field. In an inherently {\it
effective} or a {\it bottom up} approach, we work with a simple system:
Einstein-gravity with a negative cosmological constant, coupled to a
Dirac-Born-Infeld (DBI) matter. We obtain a class of exact solutions, dual to
candidate grounds states in the infrared (IR), with a scaling ansatz for
various fields. These solutions are of two kinds: AdS$_m \times {\mathbb
R}^n$--type, and AdS$_m \times$EAdS$_n$--type, where $m$ and $n$ are suitable
integers. Both these classes of solutions are {\it non-perturbative} in
back-reaction. The AdS$_m \times$EAdS$_n$--type contains examples of Bianchi
type-V solutions. We also construct explicit numerical flows from an AdS$_5$
ultraviolet to both an AdS$_2$ and an AdS$_3$ IR.
|
[
{
"created": "Tue, 27 Dec 2016 13:14:50 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2017 13:03:36 GMT",
"version": "v2"
}
] |
2017-10-18
|
[
[
"Kundu",
"Arnab",
""
],
[
"Kundu",
"Nilay",
""
]
] |
In this article we report on a preliminary study, {\it via} Holography, of infrared fixed points in a putative strongly coupled SU$(N_c)$ gauge theory, with $N_f$ fundamental matter, in the presence of additional fields in the fundamental sector, e.g. density or a magnetic field. In an inherently {\it effective} or a {\it bottom up} approach, we work with a simple system: Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld (DBI) matter. We obtain a class of exact solutions, dual to candidate grounds states in the infrared (IR), with a scaling ansatz for various fields. These solutions are of two kinds: AdS$_m \times {\mathbb R}^n$--type, and AdS$_m \times$EAdS$_n$--type, where $m$ and $n$ are suitable integers. Both these classes of solutions are {\it non-perturbative} in back-reaction. The AdS$_m \times$EAdS$_n$--type contains examples of Bianchi type-V solutions. We also construct explicit numerical flows from an AdS$_5$ ultraviolet to both an AdS$_2$ and an AdS$_3$ IR.
|
0707.3135
|
Edward Shuryak
|
Shu Lin and Edward Shuryak
|
Stress Tensor of Static Dipoles in strongly coupled $\cal{N}$=4 Gauge
Theory
| null |
Phys.Rev.D76:085014,2007
|
10.1103/PhysRevD.76.085014
| null |
hep-th
| null |
In the context of the AdS/CFT correspondence we calculate the induced stress
tensor of static dipoles (electric-electric and electric-magnetic) in a
strongly coupled ${\cal N}=4$ SYM gauge theory, by solving the linearized
Einstein equation with Maldecena string as a source. Analytic expressions are
given for the far-field and a near-field close to one charge, and compared to
what one has in weak coupling. The result can be compared to lattice results
for QCD-like theories in a deconfined but strongly coupled regime.
|
[
{
"created": "Fri, 20 Jul 2007 19:38:08 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 01:10:21 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lin",
"Shu",
""
],
[
"Shuryak",
"Edward",
""
]
] |
In the context of the AdS/CFT correspondence we calculate the induced stress tensor of static dipoles (electric-electric and electric-magnetic) in a strongly coupled ${\cal N}=4$ SYM gauge theory, by solving the linearized Einstein equation with Maldecena string as a source. Analytic expressions are given for the far-field and a near-field close to one charge, and compared to what one has in weak coupling. The result can be compared to lattice results for QCD-like theories in a deconfined but strongly coupled regime.
|
1803.11533
|
Thomas Schaefer
|
Alireza Behtash, Gerald V. Dunne, Thomas Schaefer, Tin Sulejmanpasic,
Mithat Unsal
|
Critical Points at Infinity, Non-Gaussian Saddles, and Bions
|
31 pages, v2: fixed hyperlinks to references, minor edits
| null |
10.1007/JHEP06(2018)068
|
NSF-ITP-18-007
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been argued that many non-perturbative phenomena in quantum mechanics
(QM) and quantum field theory (QFT) are determined by complex field
configurations, and that these contributions should be understood in terms of
of Picard-Lefschetz theory. In this work we compute the contribution from
non-BPS multi-instanton configurations, such as instanton-anti-instanton
$[{I}\bar{I}]$ pairs, and argue that these contributions should be interpreted
as exact critical points at infinity. The Lefschetz thimbles associated with
such critical points have a specific structure arising from the presence of
non-Gaussian, quasi-zero mode (QZM), directions. When fermion degrees of
freedom are present, as in supersymmetric theories, the effective bosonic
potential can be written as the sum of a classical and a quantum potential. We
show that in this case the semi-classical contribution of the critical point at
infinity vanishes, but there is a non-trivial contribution that arises from its
associated non-Gaussian QZM-thimble. This approach resolves several puzzles in
the literature concerning the semi-classical contribution of correlated
$[{I}\bar{I}]$ pairs. It has the surprising consequence that the configurations
that dominate the expansion of observables, and the critical points that define
the Lefschetz thimble decomposition need not be the same, a feature not present
in the traditional Picard-Lefschetz approach.
|
[
{
"created": "Fri, 30 Mar 2018 16:40:18 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 15:04:51 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Behtash",
"Alireza",
""
],
[
"Dunne",
"Gerald V.",
""
],
[
"Schaefer",
"Thomas",
""
],
[
"Sulejmanpasic",
"Tin",
""
],
[
"Unsal",
"Mithat",
""
]
] |
It has been argued that many non-perturbative phenomena in quantum mechanics (QM) and quantum field theory (QFT) are determined by complex field configurations, and that these contributions should be understood in terms of of Picard-Lefschetz theory. In this work we compute the contribution from non-BPS multi-instanton configurations, such as instanton-anti-instanton $[{I}\bar{I}]$ pairs, and argue that these contributions should be interpreted as exact critical points at infinity. The Lefschetz thimbles associated with such critical points have a specific structure arising from the presence of non-Gaussian, quasi-zero mode (QZM), directions. When fermion degrees of freedom are present, as in supersymmetric theories, the effective bosonic potential can be written as the sum of a classical and a quantum potential. We show that in this case the semi-classical contribution of the critical point at infinity vanishes, but there is a non-trivial contribution that arises from its associated non-Gaussian QZM-thimble. This approach resolves several puzzles in the literature concerning the semi-classical contribution of correlated $[{I}\bar{I}]$ pairs. It has the surprising consequence that the configurations that dominate the expansion of observables, and the critical points that define the Lefschetz thimble decomposition need not be the same, a feature not present in the traditional Picard-Lefschetz approach.
|
1410.6197
|
Yuri Obukhov
|
Yuri N. Obukhov, Alexander J. Silenko, and Oleg V. Teryaev
|
Spin-torsion coupling and gravitational moments of Dirac fermions:
theory and experimental bounds
|
13 pages, no figures, Revtex
|
Phys. Rev. D 90 (2014) 124068
|
10.1103/PhysRevD.90.124068
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the quantum dynamics of the Dirac fermion particle in a gauge
gravitational field. The minimal as well as the Pauli-type nonminimal coupling
of a fermion with external fields is studied, bringing into consideration the
notions of the translational and the Lorentz gravitational moments. The
anomalous gravitomagnetic and gravitoelectric moments are ruled out on the
basis of the covariance arguments. We derive the general Foldy-Wouthuysen
transformation for an arbitrary configuration of the gauge gravitational field
without assuming it weak. Making use of the Foldy-Wouthuysen Hamiltonian for
the Dirac particle coupled to magnetic field in a noninertial reference system,
we analyze the recent experimental data and obtain bounds on the spacetime
torsion.
|
[
{
"created": "Wed, 22 Oct 2014 21:33:17 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 21:50:10 GMT",
"version": "v2"
}
] |
2015-02-02
|
[
[
"Obukhov",
"Yuri N.",
""
],
[
"Silenko",
"Alexander J.",
""
],
[
"Teryaev",
"Oleg V.",
""
]
] |
We discuss the quantum dynamics of the Dirac fermion particle in a gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external fields is studied, bringing into consideration the notions of the translational and the Lorentz gravitational moments. The anomalous gravitomagnetic and gravitoelectric moments are ruled out on the basis of the covariance arguments. We derive the general Foldy-Wouthuysen transformation for an arbitrary configuration of the gauge gravitational field without assuming it weak. Making use of the Foldy-Wouthuysen Hamiltonian for the Dirac particle coupled to magnetic field in a noninertial reference system, we analyze the recent experimental data and obtain bounds on the spacetime torsion.
|
0909.0302
|
Ahmad Sheykhi
|
A. Sheykhi, A. Bagheri and M.M. Yazdanpanah
|
Interacting agegraphic quintessence dark energy in non-flat universe
|
12 pages, 12 figures
|
JCAP 1009:017,2010
|
10.1088/1475-7516/2010/09/017
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
We suggest a correspondence between interacting agegraphic dark energy models
and the quintessence scalar field in a non-flat universe. We demonstrate that
the agegraphic evolution of the universe can be described completely by a
single quintessence scalar field. Then, we reconstruct the potential of the
interacting agegraphic quintessence dark energy as well as the dynamics of the
scalar field according to the evolution of the agegraphic dark energy.
|
[
{
"created": "Wed, 2 Sep 2009 01:21:17 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2010 08:57:59 GMT",
"version": "v2"
}
] |
2010-11-04
|
[
[
"Sheykhi",
"A.",
""
],
[
"Bagheri",
"A.",
""
],
[
"Yazdanpanah",
"M. M.",
""
]
] |
We suggest a correspondence between interacting agegraphic dark energy models and the quintessence scalar field in a non-flat universe. We demonstrate that the agegraphic evolution of the universe can be described completely by a single quintessence scalar field. Then, we reconstruct the potential of the interacting agegraphic quintessence dark energy as well as the dynamics of the scalar field according to the evolution of the agegraphic dark energy.
|
hep-th/0608228
|
Andrei Mironov
|
A.Alexandrov, A.Mironov and A.Morozov
|
Instantons and Merons in Matrix Models
|
54 pages
|
Physica D235:126-167,2007
|
10.1016/j.physd.2007.04.018
| null |
hep-th
| null |
Various branches of matrix model partition function can be represented as
intertwined products of universal elementary constituents: Gaussian partition
functions Z_G and Kontsevich tau-functions Z_K. In physical terms, this
decomposition is the matrix-model version of multi-instanton and multi-meron
configurations in Yang-Mills theories. Technically, decomposition formulas are
related to representation theory of algebras of Krichever-Novikov type on
families of spectral curves with additional Seiberg-Witten structure.
Representations of these algebras are encoded in terms of "the global partition
functions". They interpolate between Z_G and Z_K associated with different
singularities on spectral Riemann surfaces. This construction is nothing but
M-theory-like unification of various matrix models with explicit and
representative realization of dualities.
|
[
{
"created": "Thu, 31 Aug 2006 15:31:40 GMT",
"version": "v1"
}
] |
2009-05-01
|
[
[
"Alexandrov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
Various branches of matrix model partition function can be represented as intertwined products of universal elementary constituents: Gaussian partition functions Z_G and Kontsevich tau-functions Z_K. In physical terms, this decomposition is the matrix-model version of multi-instanton and multi-meron configurations in Yang-Mills theories. Technically, decomposition formulas are related to representation theory of algebras of Krichever-Novikov type on families of spectral curves with additional Seiberg-Witten structure. Representations of these algebras are encoded in terms of "the global partition functions". They interpolate between Z_G and Z_K associated with different singularities on spectral Riemann surfaces. This construction is nothing but M-theory-like unification of various matrix models with explicit and representative realization of dualities.
|
1405.7549
|
Alexander Reshetnyak
|
Pavel Yu. Moshin and Alexander A. Reshetnyak
|
Finite BRST-antiBRST Transformations in Generalized Hamiltonian
Formalism
|
23 pages, published version, no figures, 1 table, presentation
improved, references [17], [27] updated, ref. [40] and comments added. arXiv
admin note: text overlap with arXiv:1405.0790
|
International Journal 1 of Modern Physics A 29 (2014) 1450159
|
10.1142/S0217751X14501590
| null |
hep-th hep-lat math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the notion of finite BRST-antiBRST transformations for
constrained dynamical systems in the generalized Hamiltonian formalism, both
global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of
anticommuting Grassmann parameters and find explicit Jacobians corresponding to
these changes of variables in the path integral. It turns out that the finite
transformations are quadratic in their parameters. Exactly as in the case of
finite field-dependent BRST-antiBRST transformations for the Yang--Mills vacuum
functional in the Lagrangian formalism examined in our previous paper
[arXiv:1405.0790[hep-th]], special field-dependent BRST-antiBRST
transformations with functionally-dependent parameters $\lambda_{a}=\int
dt\(s_{a}\Lambda) $, generated by a finite even-valued function $\Lambda(t)$
and by the anticommuting generators $s_{a}$ of BRST-antiBRST transformations,
amount to a precise change of the gauge-fixing function for arbitrary
constrained dynamical systems. This proves the independence of the vacuum
functional under such transformations. We derive a new form of the Ward
identities, depending on the parameters $\lambda_{a}$, and study the problem of
gauge-dependence. We present the form of transformation parameters which
generates a change of the gauge in the Hamiltonian path integral, evaluate it
explicitly for connecting two arbitrary $R_{\xi}$-like gauges in the
Yang--Mills theory and establish, after integration over momenta, a coincidence
with the Lagrangian path integral [arXiv:1405.0790[hep-th]], which justifies
the unitarity of the $S$-matrix in the Lagrangian approach.
|
[
{
"created": "Thu, 29 May 2014 13:19:20 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2014 13:03:55 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Oct 2014 11:59:34 GMT",
"version": "v3"
}
] |
2014-10-16
|
[
[
"Moshin",
"Pavel Yu.",
""
],
[
"Reshetnyak",
"Alexander A.",
""
]
] |
We introduce the notion of finite BRST-antiBRST transformations for constrained dynamical systems in the generalized Hamiltonian formalism, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of variables in the path integral. It turns out that the finite transformations are quadratic in their parameters. Exactly as in the case of finite field-dependent BRST-antiBRST transformations for the Yang--Mills vacuum functional in the Lagrangian formalism examined in our previous paper [arXiv:1405.0790[hep-th]], special field-dependent BRST-antiBRST transformations with functionally-dependent parameters $\lambda_{a}=\int dt\(s_{a}\Lambda) $, generated by a finite even-valued function $\Lambda(t)$ and by the anticommuting generators $s_{a}$ of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing function for arbitrary constrained dynamical systems. This proves the independence of the vacuum functional under such transformations. We derive a new form of the Ward identities, depending on the parameters $\lambda_{a}$, and study the problem of gauge-dependence. We present the form of transformation parameters which generates a change of the gauge in the Hamiltonian path integral, evaluate it explicitly for connecting two arbitrary $R_{\xi}$-like gauges in the Yang--Mills theory and establish, after integration over momenta, a coincidence with the Lagrangian path integral [arXiv:1405.0790[hep-th]], which justifies the unitarity of the $S$-matrix in the Lagrangian approach.
|
1808.05961
|
Stefan Leichenauer
|
Stefan Leichenauer
|
QNEC-Preserving IR Regulators for the Entropy
|
4 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent work by Ishibashi, Maeda, and Mefford shows that the validity of the
QNEC is sensitive to the IR regulator that one uses to define the entropy and
its variations. In this note we discuss two general options that preserve both
the QNEC and a physically-sensible notion of entropy density. We illustrate the
application of each through an example. An important guiding principle is that
an IR regulator should have a physical interpretation.
|
[
{
"created": "Fri, 17 Aug 2018 18:00:05 GMT",
"version": "v1"
}
] |
2018-08-21
|
[
[
"Leichenauer",
"Stefan",
""
]
] |
Recent work by Ishibashi, Maeda, and Mefford shows that the validity of the QNEC is sensitive to the IR regulator that one uses to define the entropy and its variations. In this note we discuss two general options that preserve both the QNEC and a physically-sensible notion of entropy density. We illustrate the application of each through an example. An important guiding principle is that an IR regulator should have a physical interpretation.
|
hep-th/0506155
|
Dmitry Vasiliev
|
D.Vasiliev
|
Determinant Formulas for Matrix Model Free Energy
|
5 pages, submitted to JETP Letters, references added, minor
corrections
|
Journal of Experimental and Theoretical Physics Letters, Volume
82, Issue 3, Aug 2005, Pages 101 - 104
|
10.1134/1.2086123
|
ITEP/TH-44/05
|
hep-th
| null |
The paper contains a new non-perturbative representation for subleading
contribution to the free energy of multicut solution for hermitian matrix
model. This representation is a generalisation of the formula, proposed by
Klemm, Marino and Theisen for two cut solution, which was obtained by comparing
the cubic matrix model with the topological B-model on the local Calabi-Yau
geometry $\hat {II}$ and was checked perturbatively. In this paper we give a
direct proof of their formula and generalise it to the general multicut
solution.
|
[
{
"created": "Sat, 18 Jun 2005 19:28:55 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2005 23:19:45 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Vasiliev",
"D.",
""
]
] |
The paper contains a new non-perturbative representation for subleading contribution to the free energy of multicut solution for hermitian matrix model. This representation is a generalisation of the formula, proposed by Klemm, Marino and Theisen for two cut solution, which was obtained by comparing the cubic matrix model with the topological B-model on the local Calabi-Yau geometry $\hat {II}$ and was checked perturbatively. In this paper we give a direct proof of their formula and generalise it to the general multicut solution.
|
0906.2469
|
Olaf Lechtenfeld
|
Sergey Krivonos, Olaf Lechtenfeld
|
SU(2) reduction in N=4 supersymmetric mechanics
|
1+3 pages
| null |
10.1103/PhysRevD.80.045019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform an su(2) Hamiltonian reduction of the general su(2)-invariant
action for a self-coupled (4,4,0) supermultiplet. As a result, we elegantly
recover the N=4 supersymmetric mechanics with spin degrees of freedom which was
recently constructed in arXiv:0812.4276. This observation underscores the
exceptional role played by the ``root'' supermultiplet in N=4 supersymmetric
mechanics.
|
[
{
"created": "Mon, 15 Jun 2009 19:45:28 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Krivonos",
"Sergey",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] |
We perform an su(2) Hamiltonian reduction of the general su(2)-invariant action for a self-coupled (4,4,0) supermultiplet. As a result, we elegantly recover the N=4 supersymmetric mechanics with spin degrees of freedom which was recently constructed in arXiv:0812.4276. This observation underscores the exceptional role played by the ``root'' supermultiplet in N=4 supersymmetric mechanics.
|
1812.09447
|
Arnab Kundu
|
Arnab Kundu
|
Effective Thermal Physics in Holography: A Brief Review
|
Invited review article for Special Issue of Advances in High Energy
Physics. 60 pages, multiple figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that a Rindler observer measures a non-trivial energy flux,
resulting in a thermal description in an otherwise Minkowski vacuum. For
systems consisting of large number of degrees of freedom, it is natural to
isolate a small subset of them, and engineer a steady state configuration in
which these degrees of freedom act as Rindler observers. In Holography, this
idea has been explored in various contexts, specifically in exploring the
strongly coupled dynamics of a fundamental matter sector, in the background of
adjoint matters. In this article, we briefly review some features of this
physics, ranging from the basic description of such configurations in terms of
strings and branes, to observable effects of this effective thermal
description.
|
[
{
"created": "Sat, 22 Dec 2018 04:23:06 GMT",
"version": "v1"
}
] |
2018-12-27
|
[
[
"Kundu",
"Arnab",
""
]
] |
It is well-known that a Rindler observer measures a non-trivial energy flux, resulting in a thermal description in an otherwise Minkowski vacuum. For systems consisting of large number of degrees of freedom, it is natural to isolate a small subset of them, and engineer a steady state configuration in which these degrees of freedom act as Rindler observers. In Holography, this idea has been explored in various contexts, specifically in exploring the strongly coupled dynamics of a fundamental matter sector, in the background of adjoint matters. In this article, we briefly review some features of this physics, ranging from the basic description of such configurations in terms of strings and branes, to observable effects of this effective thermal description.
|
0911.1197
|
Michael Maziashvili
|
Data Mania and Michael Maziashvili
|
Corrections to the black body radiation due to minimum-length deformed
quantum mechanics
|
8 pages, Paper has been substantially revised - version to appear in
Phys. Lett. B
|
Physics Letters B 705 (2011) 521
|
10.1016/j.physletb.2011.10.049
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Planck spectrum of black body radiation is usually derived by considering of
quantized free electromagnetic field at a finite temperature. The
minimum-length deformed quantization affects field theory both at the first and
second quantization levels. Performing an exact calculation to the first order
in deformation parameter, both of the corrections turn out to be of the same
order. Nevertheless, the correction at the second quantization level has some
qualitative difference, that may be interesting for future study to
differentiate between these two sorts of corrections. In itself the correction
to the black body radiation seems to be innocuous in light of the big-bang
nucleosynthesis whenever the minimum length is less or equal to $10^{-19}$cm.
|
[
{
"created": "Fri, 6 Nov 2009 08:00:20 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Oct 2011 12:00:14 GMT",
"version": "v2"
}
] |
2011-11-09
|
[
[
"Mania",
"Data",
""
],
[
"Maziashvili",
"Michael",
""
]
] |
Planck spectrum of black body radiation is usually derived by considering of quantized free electromagnetic field at a finite temperature. The minimum-length deformed quantization affects field theory both at the first and second quantization levels. Performing an exact calculation to the first order in deformation parameter, both of the corrections turn out to be of the same order. Nevertheless, the correction at the second quantization level has some qualitative difference, that may be interesting for future study to differentiate between these two sorts of corrections. In itself the correction to the black body radiation seems to be innocuous in light of the big-bang nucleosynthesis whenever the minimum length is less or equal to $10^{-19}$cm.
|
hep-th/9805097
|
Finn Larsen
|
Mirjam Cvetic and Finn Larsen
|
Near Horizon Geometry of Rotating Black Holes in Five Dimensions
|
18 pages, latex
|
Nucl.Phys.B531:239-255,1998
|
10.1016/S0550-3213(98)00604-X
|
UPR/803-T
|
hep-th
| null |
We interpret the general rotating black holes in five dimensions as rotating
black strings in six dimensions. In the near horizon limit the geometry is
locally AdS_3 x S_3, as in the nonrotating case. However, the global structure
couples the AdS_3 and the S_3, giving angular velocity to the S_3. The
asymptotic geometry is exploited to count the microstates and recover the
precise value of the Bekenstein- Hawking entropy, with rotation taken properly
into account. We discuss the perturbation spectrum of the rotating black hole,
and its relation to the underlying conformal field theory.
|
[
{
"created": "Mon, 18 May 1998 23:35:50 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Larsen",
"Finn",
""
]
] |
We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS_3 x S_3, as in the nonrotating case. However, the global structure couples the AdS_3 and the S_3, giving angular velocity to the S_3. The asymptotic geometry is exploited to count the microstates and recover the precise value of the Bekenstein- Hawking entropy, with rotation taken properly into account. We discuss the perturbation spectrum of the rotating black hole, and its relation to the underlying conformal field theory.
|
1205.5815
|
Charles B. Thorn
|
Charles B. Thorn
|
Determinants for the Lightcone Worldsheet
|
36 pages, 5 figures, references and relevant comments added
| null |
10.1103/PhysRevD.86.066010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The evaluation of the determinant of the Laplacian defined on two dimensional
regions of various shapes is an essential ingredient in calculating the
scattering amplitudes of strings. In lightcone parameterization the regions are
rectangular in shape with several slits of different length and location cut
parallel to the $\tau$ axis of the rectangle. This paper offers a compendium of
applications of the methods of Kac and McKean and Singer to the calculation of
such worldsheet determinants. Particular attention is paid to the effect of
corners on the determinants. The effect of corners joining edges with like
boundary conditions is implicit in Kac's results. We discuss the generalization
to a corner joining a Dirichlet edge to a Neumann edge, and apply it to a
scattering amplitude involving D-branes.
|
[
{
"created": "Fri, 25 May 2012 20:22:11 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2012 21:08:29 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Thorn",
"Charles B.",
""
]
] |
The evaluation of the determinant of the Laplacian defined on two dimensional regions of various shapes is an essential ingredient in calculating the scattering amplitudes of strings. In lightcone parameterization the regions are rectangular in shape with several slits of different length and location cut parallel to the $\tau$ axis of the rectangle. This paper offers a compendium of applications of the methods of Kac and McKean and Singer to the calculation of such worldsheet determinants. Particular attention is paid to the effect of corners on the determinants. The effect of corners joining edges with like boundary conditions is implicit in Kac's results. We discuss the generalization to a corner joining a Dirichlet edge to a Neumann edge, and apply it to a scattering amplitude involving D-branes.
|
hep-th/9310086
|
Denjoe O'Connor
|
Denjoe O'Connor and C. R. Stephens
|
Effective Critical Exponents for Dimensional Ccrossover and Quantum
Systems from an Environmentally Friendly Renormalization Group
|
10 pages of Plain Tex, Postscript figures available upon request from
denjoe@stp.dias.ie, preprint numbers THU-93/18, DIAS-STP-93-18
|
Phys.Rev.Lett.72:506-509,1994
|
10.1103/PhysRevLett.72.506
| null |
hep-th
| null |
Series for the Wilson functions of an ``environmentally friendly''
renormalization group are computed to two loops, for an $O(N)$ vector model, in
terms of the ``floating coupling'', and resummed by the Pad\'e method to yield
crossover exponents for finite size and quantum systems. The resulting
effective exponents obey all scaling laws, including hyperscaling in terms of
an effective dimensionality, ${d\ef}=4-\gl$, which represents the crossover in
the leading irrelevant operator, and are in excellent agreement with known
results.
|
[
{
"created": "Thu, 14 Oct 1993 21:00:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"O'Connor",
"Denjoe",
""
],
[
"Stephens",
"C. R.",
""
]
] |
Series for the Wilson functions of an ``environmentally friendly'' renormalization group are computed to two loops, for an $O(N)$ vector model, in terms of the ``floating coupling'', and resummed by the Pad\'e method to yield crossover exponents for finite size and quantum systems. The resulting effective exponents obey all scaling laws, including hyperscaling in terms of an effective dimensionality, ${d\ef}=4-\gl$, which represents the crossover in the leading irrelevant operator, and are in excellent agreement with known results.
|
hep-th/0407132
|
Juan F. Garcia-Cascales
|
Juan F. G. Cascales, Angel M. Uranga
|
Branes on Generalized Calibrated Submanifolds
|
40 pages, 3 figures, references added
|
JHEP 0411:083,2004
|
10.1088/1126-6708/2004/11/083
|
FTUAM-04/13, IFT-UAM/CSIC-04-33
|
hep-th
| null |
We extend previous results on generalized calibrations to describe
supersymmetric branes in supergravity backgrounds with diverse fields turned
on, and provide several new classes of examples. As an important application,
we show that supersymmetric D-branes in compactifications with field strength
fluxes, and on SU(3)-structure spaces, wrap generalized calibrated
submanifolds, defined by simple conditions in terms of the underlying globally
defined, but non-closed, 2- and 3-forms. We provide examples where the
geometric moduli of D-branes (for instance D7-branes in 3-form flux
configurations) are lifted by the generalized calibration condition. In
addition, we describe supersymmetric D6-branes on generalized calibrated
3-submanifolds of half-flat manifolds, which provide the mirror of B-type
D-branes in IIB CY compactifications with 3-form fluxes. Supersymmetric sets of
such D-branes carrying no homology charges are mirror to supersymmetric sets of
D-branes which are homologically non-trivial, but trivial in K-theory. As an
additional application, we describe models with chiral gauge sectors, realized
in terms of generalized calibrated brane box configurations of NS- and
D5-branes, which are supersymmetric but carry no charges, so that no
orientifold planes are required in the compactification.
|
[
{
"created": "Thu, 15 Jul 2004 13:11:12 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 2004 14:38:10 GMT",
"version": "v2"
}
] |
2009-10-09
|
[
[
"Cascales",
"Juan F. G.",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
We extend previous results on generalized calibrations to describe supersymmetric branes in supergravity backgrounds with diverse fields turned on, and provide several new classes of examples. As an important application, we show that supersymmetric D-branes in compactifications with field strength fluxes, and on SU(3)-structure spaces, wrap generalized calibrated submanifolds, defined by simple conditions in terms of the underlying globally defined, but non-closed, 2- and 3-forms. We provide examples where the geometric moduli of D-branes (for instance D7-branes in 3-form flux configurations) are lifted by the generalized calibration condition. In addition, we describe supersymmetric D6-branes on generalized calibrated 3-submanifolds of half-flat manifolds, which provide the mirror of B-type D-branes in IIB CY compactifications with 3-form fluxes. Supersymmetric sets of such D-branes carrying no homology charges are mirror to supersymmetric sets of D-branes which are homologically non-trivial, but trivial in K-theory. As an additional application, we describe models with chiral gauge sectors, realized in terms of generalized calibrated brane box configurations of NS- and D5-branes, which are supersymmetric but carry no charges, so that no orientifold planes are required in the compactification.
|
hep-th/0409225
|
Eiji Ogasa
|
Eiji Ogasa
|
'Topological parallel world' constructed by modification of space-time
along observables
|
6pages
| null | null | null |
hep-th
| null |
We introduce a new concept, `(topological) (vacuum) parallel world, ' which
is a new tool to research submanifolds. Roughly speaking, `Observables in
(T)QFT' is equal to `a (topological) modification of space-time.' In other
words, we give a new interpretation of observables. We give some examples
associated with the Alexander polynomial, the Jones polynomial.
|
[
{
"created": "Wed, 22 Sep 2004 18:56:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ogasa",
"Eiji",
""
]
] |
We introduce a new concept, `(topological) (vacuum) parallel world, ' which is a new tool to research submanifolds. Roughly speaking, `Observables in (T)QFT' is equal to `a (topological) modification of space-time.' In other words, we give a new interpretation of observables. We give some examples associated with the Alexander polynomial, the Jones polynomial.
|
0906.0554
|
A. Yu. Petrov
|
C. Furtado, T. Mariz, J. R. Nascimento, A. Yu. Petrov, A. F. Santos
|
The G\"{o}del solution in the modified gravity
|
8 pages, version published in Phys. Rev. D
|
Phys.Rev.D79:124039,2009
|
10.1103/PhysRevD.79.124039
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the modified gravity whose action represents itself as a sum of
the usual Einstein-Hilbert action and the gravitational Chern-Simons term and
show that the G\"{o}del metric solves the modified equations of motion, thus
proving that the closed timelike curves whose presence is characteristic for
the G\"{o}del solution are not forbidden in the case of the Chern-Simons
modified gravity as well.
|
[
{
"created": "Tue, 2 Jun 2009 18:31:22 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2009 18:22:57 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 2009 15:26:25 GMT",
"version": "v3"
}
] |
2009-07-09
|
[
[
"Furtado",
"C.",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Santos",
"A. F.",
""
]
] |
We consider the modified gravity whose action represents itself as a sum of the usual Einstein-Hilbert action and the gravitational Chern-Simons term and show that the G\"{o}del metric solves the modified equations of motion, thus proving that the closed timelike curves whose presence is characteristic for the G\"{o}del solution are not forbidden in the case of the Chern-Simons modified gravity as well.
|
hep-th/0103184
|
Stavros Mouslopoulos
|
Stavros Mouslopoulos (Oxford University)
|
Bulk Fermions in Multi-Brane Worlds
|
32 pages, 2 figures
|
JHEP 0105:038,2001
|
10.1088/1126-6708/2001/05/038
| null |
hep-th hep-ph
| null |
We study bulk fermion fields in various multi-brane models with localized
gravity. The chiral zero mode that these models support can be identified as a
right-handed sterile neutrino. In this case small neutrino Dirac masses can
naturally appear due to a localization of the bulk fermion zero mode
wavefunction, in an analogous way to graviton, without invoking the see-saw
mechanism. The conditions and the options for localization are discussed in
detail. It is shown that, considering a well motivated five dimensional mass
term, the localization behaviour of this mode can resemble the graviton's at
least in a region of the parameter space. As a result, the ''+-+'', ''++''
models can support, in addition to the ultralight graviton KK state, an
ultralight localized and strongly coupled bulk fermion KK mode. We find that
there are severe constraints on the parameter space of ''+-+'' and ''++''
models if the neutrino properties resulting from this light fermion state are
to be reasonable. Furthermore, in the case that also the Bigravity scenario is
realized the above special KK mode can induce too large mixing between the
neutrino and the KK tower sterile modes restricting even more the allowed
parameter space.
|
[
{
"created": "Thu, 22 Mar 2001 20:01:19 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Apr 2001 20:38:15 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Mouslopoulos",
"Stavros",
"",
"Oxford University"
]
] |
We study bulk fermion fields in various multi-brane models with localized gravity. The chiral zero mode that these models support can be identified as a right-handed sterile neutrino. In this case small neutrino Dirac masses can naturally appear due to a localization of the bulk fermion zero mode wavefunction, in an analogous way to graviton, without invoking the see-saw mechanism. The conditions and the options for localization are discussed in detail. It is shown that, considering a well motivated five dimensional mass term, the localization behaviour of this mode can resemble the graviton's at least in a region of the parameter space. As a result, the ''+-+'', ''++'' models can support, in addition to the ultralight graviton KK state, an ultralight localized and strongly coupled bulk fermion KK mode. We find that there are severe constraints on the parameter space of ''+-+'' and ''++'' models if the neutrino properties resulting from this light fermion state are to be reasonable. Furthermore, in the case that also the Bigravity scenario is realized the above special KK mode can induce too large mixing between the neutrino and the KK tower sterile modes restricting even more the allowed parameter space.
|
hep-th/9607014
|
Li You-Quan
|
Huan-xiong Yang and You-Quan Li
|
Prolongation Approach to B\"{a}cklund Transformation of
Zhiber-Mikhailov-Shabat Equation
|
Revtex, no figures, to appear in J. Math. Phys. (1996)
|
J.Math.Phys. 37 (1996) 3491-3497
|
10.1063/1.531576
| null |
hep-th
| null |
The prolongation structure of Zhiber-Mikhailov-Shabat (ZMS) equation is
studied by using Wahlquist-Estabrook's method. The Lax-pair for ZMS equation
and Riccati equations for pseudopotentials are formulated respectively from
linear and nonlinear realizations of the prolongation structure. Based on
nonlinear realization of the prolongation structure, an auto-B$\ddot{a}$cklund
transformation of ZMS equation is obtained.
|
[
{
"created": "Tue, 2 Jul 1996 12:27:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Yang",
"Huan-xiong",
""
],
[
"Li",
"You-Quan",
""
]
] |
The prolongation structure of Zhiber-Mikhailov-Shabat (ZMS) equation is studied by using Wahlquist-Estabrook's method. The Lax-pair for ZMS equation and Riccati equations for pseudopotentials are formulated respectively from linear and nonlinear realizations of the prolongation structure. Based on nonlinear realization of the prolongation structure, an auto-B$\ddot{a}$cklund transformation of ZMS equation is obtained.
|
1006.0337
|
Naresh Dadhich
|
Naresh Dadhich
|
On Lovelock vacuum solution
|
5 pages, some changes overall, to appear in the volume dedicated to
the memory of Professor PC Vaidya
|
Math.Today 26:37,2011
| null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the asymptotic large $r$ limit of all Lovelock vacuum and
electrovac solutions with $\Lambda$ is always the Einstein solution in $d \geq
2n+1$ dimensions. It is completely free of the order $n$ of the Lovelock
polynomial indicating universal asymptotic behaviour.
|
[
{
"created": "Wed, 2 Jun 2010 10:00:36 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2010 11:38:01 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Aug 2010 12:47:13 GMT",
"version": "v3"
},
{
"created": "Sat, 18 Dec 2010 09:02:34 GMT",
"version": "v4"
}
] |
2011-04-22
|
[
[
"Dadhich",
"Naresh",
""
]
] |
We show that the asymptotic large $r$ limit of all Lovelock vacuum and electrovac solutions with $\Lambda$ is always the Einstein solution in $d \geq 2n+1$ dimensions. It is completely free of the order $n$ of the Lovelock polynomial indicating universal asymptotic behaviour.
|
2308.04135
|
Emmanouil Raptakis
|
Nowar E. Koning, Sergei M. Kuzenko and Emmanouil S. N. Raptakis
|
Embedding formalism for ${\mathcal N}$-extended AdS superspace in four
dimensions
|
49 pages; v2: published version
|
JHEP 11 (2023) 063
|
10.1007/JHEP11(2023)063
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The supertwistor and bi-supertwistor formulations for ${\mathcal N}$-extended
anti-de Sitter (AdS) superspace in four dimensions, ${\rm AdS}^{4|4\mathcal
N}$, were derived two years ago in arXiv:2108.03907. In the present paper, we
introduce a novel realisation of the ${\mathcal N}$-extended AdS supergroup
$\mathsf{OSp}(\mathcal{N}|4;\mathbb{R})$ and apply it to develop a coset
construction for ${\rm AdS}^{4|4\mathcal N}$ and the corresponding differential
geometry. This realisation naturally leads to an atlas on ${\rm
AdS}^{4|4\mathcal N}$ (that is a generalisation of the stereographic projection
for a sphere) that consists of two charts with chiral transition functions for
${\mathcal N}>0$. A manifestly $\mathsf{OSp}(\mathcal{N}|4;\mathbb{R})$
invariant model for a superparticle in ${\rm AdS}^{4|4\mathcal N}$ is proposed.
Additionally, by employing a conformal superspace approach, we describe the
most general conformally flat $\mathcal N$-extended supergeometry. This
construction is then specialised to the case of ${\rm AdS}^{4|4\mathcal N}$.
|
[
{
"created": "Tue, 8 Aug 2023 08:48:14 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2023 07:21:36 GMT",
"version": "v2"
}
] |
2023-11-15
|
[
[
"Koning",
"Nowar E.",
""
],
[
"Kuzenko",
"Sergei M.",
""
],
[
"Raptakis",
"Emmanouil S. N.",
""
]
] |
The supertwistor and bi-supertwistor formulations for ${\mathcal N}$-extended anti-de Sitter (AdS) superspace in four dimensions, ${\rm AdS}^{4|4\mathcal N}$, were derived two years ago in arXiv:2108.03907. In the present paper, we introduce a novel realisation of the ${\mathcal N}$-extended AdS supergroup $\mathsf{OSp}(\mathcal{N}|4;\mathbb{R})$ and apply it to develop a coset construction for ${\rm AdS}^{4|4\mathcal N}$ and the corresponding differential geometry. This realisation naturally leads to an atlas on ${\rm AdS}^{4|4\mathcal N}$ (that is a generalisation of the stereographic projection for a sphere) that consists of two charts with chiral transition functions for ${\mathcal N}>0$. A manifestly $\mathsf{OSp}(\mathcal{N}|4;\mathbb{R})$ invariant model for a superparticle in ${\rm AdS}^{4|4\mathcal N}$ is proposed. Additionally, by employing a conformal superspace approach, we describe the most general conformally flat $\mathcal N$-extended supergeometry. This construction is then specialised to the case of ${\rm AdS}^{4|4\mathcal N}$.
|
hep-th/0701258
|
Miao Li
|
Miao Li, Wei Song and Yushu Song
|
Quantizing Strings in de Sitter Space
|
13 pages. Version published in JHEP
|
JHEP 0704:042,2007
|
10.1088/1126-6708/2007/04/042
|
USTC-ICTS-07-01
|
hep-th
| null |
We quantize a string in the de Sitter background, and we find that the mass
spectrum is modified by a term which is quadratic in oscillating numbers, and
also proportional to the square of the Hubble constant.
|
[
{
"created": "Mon, 29 Jan 2007 08:50:41 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2007 04:17:00 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Li",
"Miao",
""
],
[
"Song",
"Wei",
""
],
[
"Song",
"Yushu",
""
]
] |
We quantize a string in the de Sitter background, and we find that the mass spectrum is modified by a term which is quadratic in oscillating numbers, and also proportional to the square of the Hubble constant.
|
2110.02104
|
Kenichi Konishi
|
Stefano Bolognesi, Kenichi Konishi, Andrea Luzio
|
Anomalies and phases of strongly-coupled chiral gauge theories: recent
developments
|
64 pages
| null |
10.1142/S0217751X22300149
| null |
hep-th hep-lat hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
After many years of investigations, our understanding of the dynamics of
strongly-coupled chiral gauge theories is still quite unsatisfactory today.
Conventional wisdom about strongly-coupled gauge theories, successfully applied
to QCD, is not always as useful in chiral gauge theories. Recently some new
ideas and techniques have been developed, which involve concepts of generalized
symmetries, of gauging a discrete center symmetry, and of generalizing the 't
Hooft anomaly matching constraints to include certain mixed symmetries. This
new development has been applied to chiral gauge theories, leading to many
interesting, sometimes quite unexpected, results. For instance, in the context
of generalized Bars-Yankielowicz and generalized Georgi-Glashow models, these
new types of anomalies give a rather clear indication in favor of the dynamical
Higgs phase, against confining, flavor symmetric vacua.
Another closely related topics is strong anomaly and the effective low-energy
action representing it. It turns out that they have significant implications on
the phase of chiral gauge theories, giving indications consistent with the
findings based on the generalized anomalies.
Some striking analogies and contrasts between the massless QCD and chiral
gauge theories seem to emerge from these discussions. The aim of this work is
to review these developments.
|
[
{
"created": "Tue, 5 Oct 2021 15:06:18 GMT",
"version": "v1"
}
] |
2023-03-22
|
[
[
"Bolognesi",
"Stefano",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Luzio",
"Andrea",
""
]
] |
After many years of investigations, our understanding of the dynamics of strongly-coupled chiral gauge theories is still quite unsatisfactory today. Conventional wisdom about strongly-coupled gauge theories, successfully applied to QCD, is not always as useful in chiral gauge theories. Recently some new ideas and techniques have been developed, which involve concepts of generalized symmetries, of gauging a discrete center symmetry, and of generalizing the 't Hooft anomaly matching constraints to include certain mixed symmetries. This new development has been applied to chiral gauge theories, leading to many interesting, sometimes quite unexpected, results. For instance, in the context of generalized Bars-Yankielowicz and generalized Georgi-Glashow models, these new types of anomalies give a rather clear indication in favor of the dynamical Higgs phase, against confining, flavor symmetric vacua. Another closely related topics is strong anomaly and the effective low-energy action representing it. It turns out that they have significant implications on the phase of chiral gauge theories, giving indications consistent with the findings based on the generalized anomalies. Some striking analogies and contrasts between the massless QCD and chiral gauge theories seem to emerge from these discussions. The aim of this work is to review these developments.
|
hep-th/0407199
|
Edward Corrigan
|
E. Corrigan and C. Zambon
|
Aspects of sine-Gordon solitons, defects and gates
|
8 pages
|
J.Phys. A37 (2004) L471
|
10.1088/0305-4470/37/37/L03
| null |
hep-th nlin.SI
| null |
It was recently noted how the classical sine-Gordon theory can support
discontinuities, or `defects', and yet maintain integrability by preserving
sufficiently many conservation laws. Since soliton number is not preserved by a
defect, a possible application to the construction of logical gates is
suggested.
|
[
{
"created": "Thu, 22 Jul 2004 17:33:47 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Corrigan",
"E.",
""
],
[
"Zambon",
"C.",
""
]
] |
It was recently noted how the classical sine-Gordon theory can support discontinuities, or `defects', and yet maintain integrability by preserving sufficiently many conservation laws. Since soliton number is not preserved by a defect, a possible application to the construction of logical gates is suggested.
|
1209.6107
|
Isao Kishimoto
|
Shoko Inatomi, Isao Kishimoto, Tomohiko Takahashi
|
On Nontrivial Solutions around a Marginal Solution in Cubic Superstring
Field Theory
|
23 pages; v2:minor corrections
| null |
10.1007/JHEP12(2012)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct tachyon vacuum and half-brane solutions, using an extension of
KBc algebra, in the theory around a type of identity-based marginal solutions
in modified cubic superstring field theory. With explicit computations, we find
that their vacuum energies are the same as those of corresponding solutions
around the original theory. It implies that the vacuum energy for the
identity-based marginal solution vanishes although straightforward computation
of it is subtle. We also evaluate the gauge invariant overlaps for those
nontrivial solutions. The values for them are deformed according to the
marginal solution in the same way as the case of bosonic string field theory.
|
[
{
"created": "Thu, 27 Sep 2012 01:47:14 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2012 09:46:12 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Inatomi",
"Shoko",
""
],
[
"Kishimoto",
"Isao",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] |
We construct tachyon vacuum and half-brane solutions, using an extension of KBc algebra, in the theory around a type of identity-based marginal solutions in modified cubic superstring field theory. With explicit computations, we find that their vacuum energies are the same as those of corresponding solutions around the original theory. It implies that the vacuum energy for the identity-based marginal solution vanishes although straightforward computation of it is subtle. We also evaluate the gauge invariant overlaps for those nontrivial solutions. The values for them are deformed according to the marginal solution in the same way as the case of bosonic string field theory.
|
hep-th/9512038
|
Semen Konstein
|
S.E.Konstein and M.A.Vasiliev (P.N.Lebedev Physical Institute)
|
Supertraces on the Algebras of Observables of the Rational Calogero
Model with Harmonic Potential
|
22 pages, LATEX
|
J.Math.Phys. 37 (1996) 2872-2891
|
10.1063/1.531544
|
FIAN/TD/14--95
|
hep-th
| null |
We define a complete set of supertraces on the algebra $SH_N(\nu)$, the
algebra of observables of the $N$-body rational Calogero model with harmonic
interaction. This result extends the previously known results for the simplest
cases of $N=1$ and $N=2$ to arbitrary $N$. It is shown that $SH_N(\nu)$ admits
$q(N)$ independent supertraces where $q(N)$ is a number of partitions of $N$
into a sum of odd positive integers, so that $q(N)>1$ for $N\ge 3$. Some
consequences of the existence of several independent supertraces of $SH_N (\nu
)$ are discussed such as the existence of ideals in associated $W_{\infty}$ -
type Lie superalgebras.
|
[
{
"created": "Wed, 6 Dec 1995 16:43:13 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Konstein",
"S. E.",
"",
"P.N.Lebedev Physical Institute"
],
[
"Vasiliev",
"M. A.",
"",
"P.N.Lebedev Physical Institute"
]
] |
We define a complete set of supertraces on the algebra $SH_N(\nu)$, the algebra of observables of the $N$-body rational Calogero model with harmonic interaction. This result extends the previously known results for the simplest cases of $N=1$ and $N=2$ to arbitrary $N$. It is shown that $SH_N(\nu)$ admits $q(N)$ independent supertraces where $q(N)$ is a number of partitions of $N$ into a sum of odd positive integers, so that $q(N)>1$ for $N\ge 3$. Some consequences of the existence of several independent supertraces of $SH_N (\nu )$ are discussed such as the existence of ideals in associated $W_{\infty}$ - type Lie superalgebras.
|
hep-th/0411252
|
Falk Bruckmann
|
Falk Bruckmann
|
On the zero of the fermion zero mode
|
6 pages, 3 figures in 5 parts
|
Phys.Rev. D71 (2005) 101701
|
10.1103/PhysRevD.71.101701
| null |
hep-th hep-lat hep-ph
| null |
We argue that the fermionic zero mode in non-trivial gauge field backgrounds
must have a zero. We demonstrate this explicitly for calorons where its
location is related to a constituent monopole. Furthermore a topological
reasoning for the existence of the zero is given which therefore will be
present for any non-trivial configuration. We propose the use of this property
in particular for lattice simulations in order to uncover the topological
content of a configuration.
|
[
{
"created": "Sat, 27 Nov 2004 12:23:34 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bruckmann",
"Falk",
""
]
] |
We argue that the fermionic zero mode in non-trivial gauge field backgrounds must have a zero. We demonstrate this explicitly for calorons where its location is related to a constituent monopole. Furthermore a topological reasoning for the existence of the zero is given which therefore will be present for any non-trivial configuration. We propose the use of this property in particular for lattice simulations in order to uncover the topological content of a configuration.
|
2011.04678
|
Julien Barrat
|
Julien Barrat, Pedro Liendo, Jan Plefka
|
Two-Point Correlator of Chiral Primary Operators with a Wilson Line
Defect in $\mathcal{N}=4$ SYM
|
48 pages, 5 figures, 3 tables
| null |
10.1007/JHEP05(2021)195
|
HU-EP-20/33-RTG, DESY 20-191
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the two-point function of the stress-tensor multiplet of
$\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we
focus on the single-trace operator of conformal dimension two that sits in the
$20'$ irrep of the $\mathfrak{so}(6)_\text{R}$ R-symmetry, and add a
Maldacena-Wilson line to the configuration which makes the two-point function
non-trivial. We use a combination of perturbation theory and defect CFT
techniques to obtain results up to next-to-leading order in the coupling
constant. Being a defect CFT correlator, there exist two (super)conformal block
expansions which capture defect and bulk data respectively. We present a
closed-form formula for the defect CFT data, which allows to write an efficient
Taylor series for the correlator in the limit when one of the operators is
close to the line. The bulk channel is technically harder and closed-form
formulae are particularly challenging to obtain, nevertheless we use our
analysis to check against well-known data of $\mathcal{N}=4$ SYM. In
particular, we recover the correct anomalous dimensions of a famous tower of
twist-two operators (which includes the Konishi multiplet), and successfully
compare the one-point function of the stress-tensor multiplet with results
obtained using matrix-model techniques.
|
[
{
"created": "Mon, 9 Nov 2020 19:00:32 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Dec 2020 10:21:18 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Mar 2021 17:18:54 GMT",
"version": "v3"
}
] |
2023-01-11
|
[
[
"Barrat",
"Julien",
""
],
[
"Liendo",
"Pedro",
""
],
[
"Plefka",
"Jan",
""
]
] |
We study the two-point function of the stress-tensor multiplet of $\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we focus on the single-trace operator of conformal dimension two that sits in the $20'$ irrep of the $\mathfrak{so}(6)_\text{R}$ R-symmetry, and add a Maldacena-Wilson line to the configuration which makes the two-point function non-trivial. We use a combination of perturbation theory and defect CFT techniques to obtain results up to next-to-leading order in the coupling constant. Being a defect CFT correlator, there exist two (super)conformal block expansions which capture defect and bulk data respectively. We present a closed-form formula for the defect CFT data, which allows to write an efficient Taylor series for the correlator in the limit when one of the operators is close to the line. The bulk channel is technically harder and closed-form formulae are particularly challenging to obtain, nevertheless we use our analysis to check against well-known data of $\mathcal{N}=4$ SYM. In particular, we recover the correct anomalous dimensions of a famous tower of twist-two operators (which includes the Konishi multiplet), and successfully compare the one-point function of the stress-tensor multiplet with results obtained using matrix-model techniques.
|
1705.02353
|
Christian Saemann
|
Christian Saemann and Lennart Schmidt
|
The Non-Abelian Self-Dual String and the (2,0)-Theory
|
v3: 1+42 pages, presentation improved, typos fixed, published version
|
Lett. Math. Phys. 110 (2020) 1001-1042
|
10.1007/s11005-019-01250-3
|
EMPG-17-05
|
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the relevant higher gauge group for the non-abelian
generalization of the self-dual string equation is the string 2-group. We then
derive the corresponding equations of motion and discuss their properties. The
underlying geometric picture is a string structure, i.e. a categorified
principal bundle with connection whose structure 2-group is the string 2-group.
We readily write down the explicit elementary solution to our equations, which
is the categorified analogue of the 't Hooft-Polyakov monopole. Our solution
passes all the relevant consistency checks; in particular, it is globally
defined on $\mathbb{R}^4$ and approaches the abelian self-dual string of charge
one at infinity. We note that our equations also arise as the BPS equations in
a recently proposed six-dimensional superconformal field theory and we show
that with our choice of higher gauge structure, the action of this theory can
be reduced to four-dimensional supersymmetric Yang-Mills theory.
|
[
{
"created": "Fri, 5 May 2017 18:16:48 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2017 08:21:50 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Apr 2020 14:16:57 GMT",
"version": "v3"
}
] |
2020-04-10
|
[
[
"Saemann",
"Christian",
""
],
[
"Schmidt",
"Lennart",
""
]
] |
We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying geometric picture is a string structure, i.e. a categorified principal bundle with connection whose structure 2-group is the string 2-group. We readily write down the explicit elementary solution to our equations, which is the categorified analogue of the 't Hooft-Polyakov monopole. Our solution passes all the relevant consistency checks; in particular, it is globally defined on $\mathbb{R}^4$ and approaches the abelian self-dual string of charge one at infinity. We note that our equations also arise as the BPS equations in a recently proposed six-dimensional superconformal field theory and we show that with our choice of higher gauge structure, the action of this theory can be reduced to four-dimensional supersymmetric Yang-Mills theory.
|
hep-th/9805124
|
Stephan Duerr
|
Stephan D\"urr
|
Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder
with Broken Chiral Symmetry
|
Latex, 29 pages, uses epsfig, error in discussion corrected
|
Annals Phys. 273 (1999) 1-36
|
10.1006/aphy.1998.5894
|
UW-PT-98-06
|
hep-th hep-lat hep-ph
| null |
We consider the N_f-flavour Schwinger Model on a thermal cylinder of
circumference $\beta=1/T$ and of finite spatial length $L$. On the boundaries
$x^1=0$ and $x^1=L$ the fields are subject to an element of a one-dimensional
class of bag-inspired boundary conditions which depend on a real parameter
$\theta$ and break the axial flavour symmetry. For the cases $N_f=1$ and
$N_f=2$ all integrals can be performed analytically. While general theorems do
not allow for a nonzero critical temperature, the model is found to exhibit a
quasi-phase-structure: For finite $L$ the condensate - seen as a function of
$\log(T)$ - stays almost constant up to a certain temperature (which depends on
$L$), where it shows a sharp crossover to a value which is exponentially close
to zero. In the limit $L \to \infty$ the known behaviour for the one-flavour
Schwinger model is reproduced. In case of two flavours direct pictorial
evidence is given that the theory undergoes a phase-transition at $T_c=0$. The
latter is confirmed - as predicted by Smilga and Verbaarschot - to be of second
order but for the critical exponent $\delta$ the numerical value is found to be
2 which is at variance with their bosonization-rule based prediction
$\delta=3$.
|
[
{
"created": "Tue, 19 May 1998 22:25:18 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 1998 08:03:22 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Dürr",
"Stephan",
""
]
] |
We consider the N_f-flavour Schwinger Model on a thermal cylinder of circumference $\beta=1/T$ and of finite spatial length $L$. On the boundaries $x^1=0$ and $x^1=L$ the fields are subject to an element of a one-dimensional class of bag-inspired boundary conditions which depend on a real parameter $\theta$ and break the axial flavour symmetry. For the cases $N_f=1$ and $N_f=2$ all integrals can be performed analytically. While general theorems do not allow for a nonzero critical temperature, the model is found to exhibit a quasi-phase-structure: For finite $L$ the condensate - seen as a function of $\log(T)$ - stays almost constant up to a certain temperature (which depends on $L$), where it shows a sharp crossover to a value which is exponentially close to zero. In the limit $L \to \infty$ the known behaviour for the one-flavour Schwinger model is reproduced. In case of two flavours direct pictorial evidence is given that the theory undergoes a phase-transition at $T_c=0$. The latter is confirmed - as predicted by Smilga and Verbaarschot - to be of second order but for the critical exponent $\delta$ the numerical value is found to be 2 which is at variance with their bosonization-rule based prediction $\delta=3$.
|
hep-th/0201074
|
Romanenko
|
N.M. Chepilko (Ukr. Inst. of Phys.), A.V. Romanenko (Kiev Taras
Shevtchenko University)
|
Quantum mechanics on Riemannian manifold in Schwinger's quantization
approach IV
|
11 pages, Springer-Verlag Journal Style, no figures
|
Eur.Phys.J.C22:601-611,2001
|
10.1007/s100520100807
| null |
hep-th
| null |
In this paper we extend Schwinger's quantization approach to the case of a
supermanifold considered as a coset space of the Poincare group by the Lorentz
group. In terms of coordinates parametrizing a supermanifold, quantum mechanics
for a superparticle is constructed. As in models related to the usual
Riemannian manifold, the key role in analyzes is played by Killing vectors. The
main feature of quantum theory on the supermanifold consists of the fact that
the spatial coordinates are not commute with each other and therefore are
represented on wave functions by integral operators.
|
[
{
"created": "Fri, 11 Jan 2002 13:55:03 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Chepilko",
"N. M.",
"",
"Ukr. Inst. of Phys."
],
[
"Romanenko",
"A. V.",
"",
"Kiev Taras\n Shevtchenko University"
]
] |
In this paper we extend Schwinger's quantization approach to the case of a supermanifold considered as a coset space of the Poincare group by the Lorentz group. In terms of coordinates parametrizing a supermanifold, quantum mechanics for a superparticle is constructed. As in models related to the usual Riemannian manifold, the key role in analyzes is played by Killing vectors. The main feature of quantum theory on the supermanifold consists of the fact that the spatial coordinates are not commute with each other and therefore are represented on wave functions by integral operators.
|
0712.0445
|
F. Saueressig
|
Pedro F. Machado and Frank Saueressig
|
On the renormalization group flow of f(R)-gravity
|
55 pages, 7 figures, typos corrected, references added, version to
appear in Phys. Rev. D
|
Phys.Rev.D77:124045,2008
|
10.1103/PhysRevD.77.124045
| null |
hep-th
| null |
We use the functional renormalization group equation for quantum gravity to
construct a non-perturbative flow equation for modified gravity theories of the
form $S = \int d^dx \sqrt{g} f(R)$. Based on this equation we show that certain
gravitational interactions monomials can be consistently decoupled from the
renormalization group (RG) flow and reproduce recent results on the asymptotic
safety conjecture. The non-perturbative RG flow of non-local extensions of the
Einstein-Hilbert truncation including $\int d^dx \sqrt{g} \ln(R)$ and $\int
d^dx \sqrt{g} R^{-n}$ interactions is investigated in detail. The inclusion of
such interactions resolves the infrared singularities plaguing the RG
trajectories with positive cosmological constant in previous truncations. In
particular, in some $R^{-n}$-truncations all physical trajectories emanate from
a Non-Gaussian (UV) fixed point and are well-defined on all RG scales. The RG
flow of the $\ln(R)$-truncation contains an infrared attractor which drives a
positive cosmological constant to zero dynamically.
|
[
{
"created": "Tue, 4 Dec 2007 09:04:08 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Apr 2008 16:56:35 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Machado",
"Pedro F.",
""
],
[
"Saueressig",
"Frank",
""
]
] |
We use the functional renormalization group equation for quantum gravity to construct a non-perturbative flow equation for modified gravity theories of the form $S = \int d^dx \sqrt{g} f(R)$. Based on this equation we show that certain gravitational interactions monomials can be consistently decoupled from the renormalization group (RG) flow and reproduce recent results on the asymptotic safety conjecture. The non-perturbative RG flow of non-local extensions of the Einstein-Hilbert truncation including $\int d^dx \sqrt{g} \ln(R)$ and $\int d^dx \sqrt{g} R^{-n}$ interactions is investigated in detail. The inclusion of such interactions resolves the infrared singularities plaguing the RG trajectories with positive cosmological constant in previous truncations. In particular, in some $R^{-n}$-truncations all physical trajectories emanate from a Non-Gaussian (UV) fixed point and are well-defined on all RG scales. The RG flow of the $\ln(R)$-truncation contains an infrared attractor which drives a positive cosmological constant to zero dynamically.
|
2101.07272
|
Alessandro Mininno
|
Federico Carta, Alessandro Mininno, Nicole Righi, Alexander Westphal
|
Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts
|
v2, JHEP accepted, added references, 1+44 pages, 5 figures, 3
appendices
| null |
10.1007/JHEP05(2021)271
|
DESY-21-007, IFT-UAM/CSIC-21-3
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a combined mechanism to realize both winding inflation and de
Sitter uplifts. We realize the necessary structure of competing terms in the
scalar potential not via tuning the vacuum expectation values of the complex
structure moduli, but by a hierarchy of the Gopakumar-Vafa invariants of the
underlying Calabi-Yau threefold. To show that Calabi-Yau threefolds with the
prescribed hierarchy actually exist, we explicitly create a database of all the
genus $0$ Gopakumar-Vafa invariants up to total degree $10$ for all the
complete intersection Calabi-Yau's up to Picard number $9$. As a side product,
we also identify all the redundancies present in the CICY list, up to Picard
number $13$. Both databases can be accessed at this link:
https://www.desy.de/~westphal/GV_CICY_webpage/GVInvariants.html .
|
[
{
"created": "Mon, 18 Jan 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 2021 08:46:10 GMT",
"version": "v2"
}
] |
2021-06-16
|
[
[
"Carta",
"Federico",
""
],
[
"Mininno",
"Alessandro",
""
],
[
"Righi",
"Nicole",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We propose a combined mechanism to realize both winding inflation and de Sitter uplifts. We realize the necessary structure of competing terms in the scalar potential not via tuning the vacuum expectation values of the complex structure moduli, but by a hierarchy of the Gopakumar-Vafa invariants of the underlying Calabi-Yau threefold. To show that Calabi-Yau threefolds with the prescribed hierarchy actually exist, we explicitly create a database of all the genus $0$ Gopakumar-Vafa invariants up to total degree $10$ for all the complete intersection Calabi-Yau's up to Picard number $9$. As a side product, we also identify all the redundancies present in the CICY list, up to Picard number $13$. Both databases can be accessed at this link: https://www.desy.de/~westphal/GV_CICY_webpage/GVInvariants.html .
|
1910.00261
|
Chethan Gowdigere
|
Palash Dubey and Chethan N. Gowdigere
|
On the Gravitini Zero Modes riding on top of Multiple Black Holes
|
22 pages
|
Phys. Rev. D 103, 126011 (2021)
|
10.1103/PhysRevD.103.126011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gravitini zero modes in four dimensional $\mathcal{N} = 2$ pure
supergravity theory. The gravitini zero modes we study are solutions to the
Rarita-Schwinger equations of motion in the background of the purely bosonic
Majumdar-Papapetrou background. We start with a very generic ansatz for the
gravitini that involves $32$ ansatz functions and reduce the Rarita-Schwinger
equations to a set of linear coupled partial differential equations on
$\mathbf{R}^3$: the kind familiar from electromagnetism with divergences, curls
etc. We first show how the gravitini zero modes due to broken supersymmetries
arise in this set-up and how they solve the equations on $\mathbf{R}^3$. Then
we go on and obtain other solutions to these equations: the `extra' fermion
zero modes. If we count the fermion zero mode due to broken supersymmetries as
one spinor worth of solutions, we have obtained three other spinors worth of
solutions.
|
[
{
"created": "Tue, 1 Oct 2019 08:56:32 GMT",
"version": "v1"
}
] |
2021-06-16
|
[
[
"Dubey",
"Palash",
""
],
[
"Gowdigere",
"Chethan N.",
""
]
] |
We study gravitini zero modes in four dimensional $\mathcal{N} = 2$ pure supergravity theory. The gravitini zero modes we study are solutions to the Rarita-Schwinger equations of motion in the background of the purely bosonic Majumdar-Papapetrou background. We start with a very generic ansatz for the gravitini that involves $32$ ansatz functions and reduce the Rarita-Schwinger equations to a set of linear coupled partial differential equations on $\mathbf{R}^3$: the kind familiar from electromagnetism with divergences, curls etc. We first show how the gravitini zero modes due to broken supersymmetries arise in this set-up and how they solve the equations on $\mathbf{R}^3$. Then we go on and obtain other solutions to these equations: the `extra' fermion zero modes. If we count the fermion zero mode due to broken supersymmetries as one spinor worth of solutions, we have obtained three other spinors worth of solutions.
|
hep-th/9410244
|
A. Garret Lisi
|
A. Garrett Lisi
|
A Solution of the Maxwell-Dirac Equations in 3+1 Dimensions
|
12 pages, revtex, 2 figures
|
J.Phys.A28:5385-5392,1995
|
10.1088/0305-4470/28/18/026
| null |
hep-th
| null |
We investigate a class of localized, stationary, particular numerical
solutions to the Maxwell-Dirac system of classical nonlinear field equations.
The solutions are discrete energy eigenstates bound predominantly by the
self-produced electric field.
|
[
{
"created": "Tue, 1 Nov 1994 07:23:47 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 1994 18:08:34 GMT",
"version": "v2"
}
] |
2010-12-02
|
[
[
"Lisi",
"A. Garrett",
""
]
] |
We investigate a class of localized, stationary, particular numerical solutions to the Maxwell-Dirac system of classical nonlinear field equations. The solutions are discrete energy eigenstates bound predominantly by the self-produced electric field.
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.