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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2112.09632
|
Rui Sun
|
Weikun He, Tianjun Li, Rui Sun
|
The Complete Search for the Supersymmetric Pati-Salam Models from
Intersecting D6-Branes
|
references added. arXiv admin note: text overlap with
arXiv:1910.04530, arXiv:1912.11633, arXiv:2112.09630
| null |
10.1007/JHEP08(2022)044
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a systematic method to build all the possible three-family
${\cal N}=1$ supersymmetric Pati-Salam models from Type IIA orientifolds on
$\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ with intersecting D6-branes,
in which the $SU(4)_C\times SU(2)_L \times SU(2)_R $ gauge symmetry can be
broken down to the $SU(3)_C \times SU(2)_L \times U(1)_Y$ Standard Model gauge
symmetry by the D-brane splitting and supersymmetry preserving Higgs mechanism.
This is essentially achieved by solving all the common solutions for the RR
tadpole cancellation conditions, ${\cal N}=1$ supersymmetry conditions, and
three generation conditions with deterministic algorithm. We find that there
are $202752$ possible supersymmetric Pati-Salam models in total, and show that
there are only $33$ independent models with different gauge coupling relations
at string scale after modding out equivalent relations, such as T-dualities,
etc. In particular, there is one and only one independent model which has gauge
coupling unification. Furthermore, one can construct other types of
intersecting D-brane models utilizing such deterministic algorithm, and
therefore we suggest a brand new method for D-brane model building.
|
[
{
"created": "Fri, 17 Dec 2021 17:04:37 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Feb 2022 05:23:29 GMT",
"version": "v2"
}
] |
2022-08-09
|
[
[
"He",
"Weikun",
""
],
[
"Li",
"Tianjun",
""
],
[
"Sun",
"Rui",
""
]
] |
We construct a systematic method to build all the possible three-family ${\cal N}=1$ supersymmetric Pati-Salam models from Type IIA orientifolds on $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ with intersecting D6-branes, in which the $SU(4)_C\times SU(2)_L \times SU(2)_R $ gauge symmetry can be broken down to the $SU(3)_C \times SU(2)_L \times U(1)_Y$ Standard Model gauge symmetry by the D-brane splitting and supersymmetry preserving Higgs mechanism. This is essentially achieved by solving all the common solutions for the RR tadpole cancellation conditions, ${\cal N}=1$ supersymmetry conditions, and three generation conditions with deterministic algorithm. We find that there are $202752$ possible supersymmetric Pati-Salam models in total, and show that there are only $33$ independent models with different gauge coupling relations at string scale after modding out equivalent relations, such as T-dualities, etc. In particular, there is one and only one independent model which has gauge coupling unification. Furthermore, one can construct other types of intersecting D-brane models utilizing such deterministic algorithm, and therefore we suggest a brand new method for D-brane model building.
| 5.633107
| 4.811424
| 5.593886
| 4.826705
| 5.091429
| 4.882077
| 4.714829
| 4.764699
| 4.689118
| 6.390726
| 4.942757
| 5.08576
| 5.620271
| 5.347347
| 5.356016
| 5.460704
| 5.283499
| 5.248921
| 5.280443
| 5.490308
| 5.377254
|
hep-th/0307259
|
Michael J. W. Hall
|
Michael J.W. Hall, Kailash Kumar, and Marcel Reginatto
|
Bosonic field equations from an exact uncertainty principle
|
24 pages, extended version of part (B) of hep-th/0206235, to appear
in J. Phys. A
|
J.Phys.A36:9779-9794,2003
|
10.1088/0305-4470/36/37/313
| null |
hep-th gr-qc quant-ph
| null |
A Hamiltonian formalism is used to describe ensembles of fields in terms of
two canonically conjugate functionals (one being the field probability
density). The postulate that a classical ensemble is subject to nonclassical
fluctuations of the field momentum density, of a strength determined solely by
the field uncertainty, is shown to lead to a unique modification of the
ensemble Hamiltonian. The modified equations of motion are equivalent to the
quantum equations for a bosonic field, and thus this exact uncertainty
principle provides a new approach to deriving and interpreting the properties
of quantum ensembles. The examples of electromagnetic and gravitational fields
are discussed. In the latter case the exact uncertainty approach specifies a
unique operator ordering for the Wheeler-DeWitt and Ashtekar-Wheeler-DeWitt
equations.
|
[
{
"created": "Sat, 26 Jul 2003 00:32:06 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hall",
"Michael J. W.",
""
],
[
"Kumar",
"Kailash",
""
],
[
"Reginatto",
"Marcel",
""
]
] |
A Hamiltonian formalism is used to describe ensembles of fields in terms of two canonically conjugate functionals (one being the field probability density). The postulate that a classical ensemble is subject to nonclassical fluctuations of the field momentum density, of a strength determined solely by the field uncertainty, is shown to lead to a unique modification of the ensemble Hamiltonian. The modified equations of motion are equivalent to the quantum equations for a bosonic field, and thus this exact uncertainty principle provides a new approach to deriving and interpreting the properties of quantum ensembles. The examples of electromagnetic and gravitational fields are discussed. In the latter case the exact uncertainty approach specifies a unique operator ordering for the Wheeler-DeWitt and Ashtekar-Wheeler-DeWitt equations.
| 10.892606
| 11.921599
| 10.090992
| 9.623007
| 10.282065
| 11.376609
| 10.659309
| 10.272099
| 10.413504
| 11.788913
| 10.23639
| 10.146288
| 9.763624
| 9.543043
| 9.956674
| 9.915254
| 9.823108
| 10.075003
| 10.05572
| 9.725154
| 10.00291
|
hep-th/9410112
| null |
A.A. Btsenko, A.D. Odintsov and S. Zerbini
|
The Large Distance Limit of the Gravitational Effective Action in
Hyperbolic Backgrounds
|
16 pages, Latex, UTF 328
|
Class.Quant.Grav.12:1-16,1995; Erratum-ibid.12:2355,1995
|
10.1088/0264-9381/12/1/002
| null |
hep-th
| null |
The one-loop effective action for D-dimensional quantum gravity with negative
cosmological constant, is investigated in space-times with compact hyperbolic
spatial section. The explicit expansion of the effective action as a power
series of the curvature on hyperbolic background is derived, making use of
heat-kernel and zeta-regularization techniques. It is discussed, at one-loop
level, the Coleman-Weinberg type suppression of the cosmological constant,
proposed by Taylor and Veneziano.
|
[
{
"created": "Mon, 17 Oct 1994 08:33:03 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Btsenko",
"A. A.",
""
],
[
"Odintsov",
"A. D.",
""
],
[
"Zerbini",
"S.",
""
]
] |
The one-loop effective action for D-dimensional quantum gravity with negative cosmological constant, is investigated in space-times with compact hyperbolic spatial section. The explicit expansion of the effective action as a power series of the curvature on hyperbolic background is derived, making use of heat-kernel and zeta-regularization techniques. It is discussed, at one-loop level, the Coleman-Weinberg type suppression of the cosmological constant, proposed by Taylor and Veneziano.
| 9.192745
| 6.661239
| 8.503162
| 7.342139
| 7.622569
| 6.727326
| 7.164534
| 7.115632
| 6.779441
| 9.334164
| 6.985553
| 7.701305
| 8.290755
| 7.998007
| 7.903508
| 8.109154
| 8.271441
| 7.933723
| 8.28958
| 8.259056
| 8.135198
|
hep-th/9409158
|
Atish Dabholkar
|
Atish Dabholkar
|
Quantum Corrections to Black Hole Entropy in String Theory
|
15 pages, harvmac, replaced with version published in Phys. Letts. B
|
Phys.Lett. B347 (1995) 222-229
|
10.1016/0370-2693(95)00056-Q
|
CALT-68-1953
|
hep-th gr-qc
| null |
The one-loop contribution to the entropy of a black hole from field modes
near the horizon is computed in string theory. It is modular invariant and
ultraviolet finite. There is an infrared divergence that signifies an
instability near the event horizon of the black hole. It is due to the
exponential growth of the density of states and the associated Hagedorn
transition characteristic of string theory. It is argued that this divergence
is indicative of a tree level contribution, and the Bekenstein-Hawking-Gibbons
formula for the entropy should be understood in terms of string states stuck
near the horizon.
|
[
{
"created": "Tue, 27 Sep 1994 05:03:42 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 1994 21:37:09 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Apr 1995 21:45:50 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Dabholkar",
"Atish",
""
]
] |
The one-loop contribution to the entropy of a black hole from field modes near the horizon is computed in string theory. It is modular invariant and ultraviolet finite. There is an infrared divergence that signifies an instability near the event horizon of the black hole. It is due to the exponential growth of the density of states and the associated Hagedorn transition characteristic of string theory. It is argued that this divergence is indicative of a tree level contribution, and the Bekenstein-Hawking-Gibbons formula for the entropy should be understood in terms of string states stuck near the horizon.
| 10.028721
| 8.523485
| 9.126085
| 8.997235
| 9.138151
| 9.291008
| 9.385977
| 8.903023
| 9.149285
| 10.487934
| 8.746274
| 8.980825
| 9.805896
| 8.920163
| 8.954915
| 9.116305
| 8.99731
| 9.158768
| 9.052478
| 9.351819
| 9.108658
|
1912.13511
|
Thomas Strobl
|
Noriaki Ikeda and Thomas Strobl
|
BV and BFV for the H-twisted Poisson sigma model
|
53+1 pages. Version to be published in "Annales Henri Poincar\'e"
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the BFV and the BV extension of the Poisson sigma model (PSM)
twisted by a closed 3-form H. There exist superfield versions of these
functionals such as for the PSM and, more generally, for the AKSZ sigma models.
However, in contrast to those theories, here they depend on the Euler vector
field of the source manifold and contain terms mixing data from the source and
the target manifold.
Using an auxiliary connection $\nabla$ on the target manifold M, we obtain
alternative, purely geometrical expressions without the use of superfields,
which are new also for the ordinary PSM and promise straightforward adaptations
to other Lie algebroid based gauge theories: The BV functional, in particular,
is the sum of the classical action, the Hamiltonian lift of the (only
on-shell-nilpotent) BRST differential, and a term quadratic in the antifields
which is essentially the basic curvature and measures the compatibility of
$\nabla$ with the Lie algebroid structure on T*M. We finally construct a
Diff(M)-equivariant isomorphism between the two BV formulations.
|
[
{
"created": "Tue, 31 Dec 2019 18:57:55 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 2020 15:35:13 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Dec 2020 22:02:26 GMT",
"version": "v3"
}
] |
2020-12-11
|
[
[
"Ikeda",
"Noriaki",
""
],
[
"Strobl",
"Thomas",
""
]
] |
We present the BFV and the BV extension of the Poisson sigma model (PSM) twisted by a closed 3-form H. There exist superfield versions of these functionals such as for the PSM and, more generally, for the AKSZ sigma models. However, in contrast to those theories, here they depend on the Euler vector field of the source manifold and contain terms mixing data from the source and the target manifold. Using an auxiliary connection $\nabla$ on the target manifold M, we obtain alternative, purely geometrical expressions without the use of superfields, which are new also for the ordinary PSM and promise straightforward adaptations to other Lie algebroid based gauge theories: The BV functional, in particular, is the sum of the classical action, the Hamiltonian lift of the (only on-shell-nilpotent) BRST differential, and a term quadratic in the antifields which is essentially the basic curvature and measures the compatibility of $\nabla$ with the Lie algebroid structure on T*M. We finally construct a Diff(M)-equivariant isomorphism between the two BV formulations.
| 10.348227
| 12.237502
| 13.092045
| 10.871058
| 11.728907
| 11.681282
| 12.258273
| 11.689885
| 11.983398
| 14.064628
| 10.924088
| 10.860383
| 11.621813
| 10.765177
| 10.734831
| 10.520427
| 11.018577
| 10.746911
| 10.841741
| 11.210673
| 10.506541
|
1804.08276
|
Dan Radu Grigore
|
D. R. Grigore
|
Anomaly-Free Gauge Models: A Causal Approach
|
29 pages, Contribution to the conference "Quantum Fields and
Nonlinear Phenomena" 18-22 April 2018, Sinaia, Romania
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The gauge invariance of some massless Yang-Mills models can be proved for a
large class of groups using Polchinski flow equations approach. In this paper
we provide an alternative proof based on the causal approach. The proof is
purely algebraic and is based on the analysis of the anomalies. More precisely,
one can prove that the anomalies are verifying some consistency equations of
Wess-Zumino type. In the massless SU(2) Yang-Mills case, this is enough to
prove that they are absent. The same is true for QED.
|
[
{
"created": "Mon, 23 Apr 2018 08:21:53 GMT",
"version": "v1"
}
] |
2018-04-24
|
[
[
"Grigore",
"D. R.",
""
]
] |
The gauge invariance of some massless Yang-Mills models can be proved for a large class of groups using Polchinski flow equations approach. In this paper we provide an alternative proof based on the causal approach. The proof is purely algebraic and is based on the analysis of the anomalies. More precisely, one can prove that the anomalies are verifying some consistency equations of Wess-Zumino type. In the massless SU(2) Yang-Mills case, this is enough to prove that they are absent. The same is true for QED.
| 11.008142
| 10.762269
| 11.349097
| 10.637788
| 10.924143
| 11.342834
| 11.850461
| 10.567619
| 10.323128
| 10.848018
| 10.374231
| 10.286274
| 10.644189
| 9.909303
| 10.202775
| 10.157432
| 9.92744
| 10.391721
| 10.202756
| 10.473926
| 10.347121
|
1501.02804
|
Daniel Are\~An
|
Daniel Arean and Javier Tarrio
|
Bifundamental Superfluids from Holography
|
30 pages, 14 figures; v2: refs. added, plots and discussion improved,
typos corrected, published version
| null |
10.1007/JHEP04(2015)083
|
ICCUB-15-001, MPP-2015-2
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the holographic dual of a (2+1)-dimensional s-wave superfluid that
breaks an abelian U(1) x U(1) global symmetry group to the diagonal U(1)_V. The
model is inspired by Sen's tachyonic action, and the operator that condenses
transforms in the bifundamental representation of the symmetry group. We focus
on two configurations: the first one describes a marginal operator, and the
phase diagram at finite temperature contains a first or a second order phase
transition, depending on the parameters that determine the theory. In the
second model the operator is relevant and the finite temperature transitions
are always second order. In the latter case the conductivity for the current
associated to the broken symmetry shows quasiparticle excitations at low
temperatures, with mass given by the width of the superconducting gap. The
suppression of spectral weight at low frequencies is also observed in the
conductivity associated to the conserved symmetry, for which the DC value
decreases as the temperature is reduced.
|
[
{
"created": "Mon, 12 Jan 2015 21:00:12 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Mar 2015 16:41:17 GMT",
"version": "v2"
}
] |
2016-08-08
|
[
[
"Arean",
"Daniel",
""
],
[
"Tarrio",
"Javier",
""
]
] |
We study the holographic dual of a (2+1)-dimensional s-wave superfluid that breaks an abelian U(1) x U(1) global symmetry group to the diagonal U(1)_V. The model is inspired by Sen's tachyonic action, and the operator that condenses transforms in the bifundamental representation of the symmetry group. We focus on two configurations: the first one describes a marginal operator, and the phase diagram at finite temperature contains a first or a second order phase transition, depending on the parameters that determine the theory. In the second model the operator is relevant and the finite temperature transitions are always second order. In the latter case the conductivity for the current associated to the broken symmetry shows quasiparticle excitations at low temperatures, with mass given by the width of the superconducting gap. The suppression of spectral weight at low frequencies is also observed in the conductivity associated to the conserved symmetry, for which the DC value decreases as the temperature is reduced.
| 7.672547
| 7.846978
| 7.812713
| 7.070442
| 7.668486
| 7.370086
| 7.771202
| 7.393361
| 7.456898
| 8.407598
| 7.051868
| 7.098524
| 7.790047
| 7.314014
| 7.278687
| 7.172508
| 7.332032
| 7.2056
| 7.664161
| 7.820678
| 7.126362
|
2006.02899
|
Jonathan Harper
|
Jonathan Harper
|
Multipartite entanglement and topology in holography
|
28 pages, 20 figures. Minor overlap with arXiv:1906.05970 due to
review of key results in section 2. v2: references added, minor changes to
presentation. v3: Published version
| null |
10.1007/JHEP03(2021)116
|
BRX-TH-6664
|
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
Starting from the entanglement wedge of a multipartite mixed state we
describe a purification procedure which involves the gluing of several copies.
The resulting geometry has non-trivial topology and a single oriented boundary
for each original boundary region. In the purified geometry the original
multipartite entanglement wedge cross section is mapped to a minimal surface of
a particular non-trivial homology class. In contrast each original bipartite
entanglement wedge cross section is mapped to the minimal wormhole throat
around each boundary. Using the bit thread formalism we show how maximal flows
for the bipartite and multipartite entanglement wedge cross section can be
glued together to form maximal multiflows in the purified geometry. The
defining feature differentiating the flows is given by the existence of threads
which cross between different copies of the original entanglement wedge.
Together these demonstrate a possible connection between multipartite
entanglement and the topology of holographic spacetimes.
|
[
{
"created": "Tue, 2 Jun 2020 18:00:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 15:01:29 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 2021 20:23:20 GMT",
"version": "v3"
}
] |
2021-03-31
|
[
[
"Harper",
"Jonathan",
""
]
] |
Starting from the entanglement wedge of a multipartite mixed state we describe a purification procedure which involves the gluing of several copies. The resulting geometry has non-trivial topology and a single oriented boundary for each original boundary region. In the purified geometry the original multipartite entanglement wedge cross section is mapped to a minimal surface of a particular non-trivial homology class. In contrast each original bipartite entanglement wedge cross section is mapped to the minimal wormhole throat around each boundary. Using the bit thread formalism we show how maximal flows for the bipartite and multipartite entanglement wedge cross section can be glued together to form maximal multiflows in the purified geometry. The defining feature differentiating the flows is given by the existence of threads which cross between different copies of the original entanglement wedge. Together these demonstrate a possible connection between multipartite entanglement and the topology of holographic spacetimes.
| 10.297149
| 10.535871
| 12.752298
| 9.845047
| 9.700209
| 10.799022
| 10.167052
| 10.395645
| 9.587074
| 12.327224
| 9.668399
| 10.209428
| 10.504148
| 10.021474
| 10.216599
| 9.809735
| 10.562874
| 10.338614
| 9.923824
| 10.660832
| 10.017788
|
hep-th/0503148
|
Yasuaki Hikida
|
Yasuaki Hikida, Rashmi R. Nayak and Kamal L. Panigrahi
|
D-branes in a Big Bang/Big Crunch Universe: Nappi-Witten Gauged WZW
Model
|
50 pages, 2 figures, minor changes
|
JHEP 0505 (2005) 018
|
10.1088/1126-6708/2005/05/018
|
SNUST-050301, ROM2F/2005/04
|
hep-th
| null |
We study D-branes in the Nappi-Witten model, which is a gauged WZW model
based on (SL(2,R) x SU(2)) / (U(1) x U(1)). The model describes a four
dimensional space-time consisting of cosmological regions with big bang/big
crunch singularities and static regions with closed time-like curves. The aim
of this paper is to investigate by D-brane probes whether there are pathologies
associated with the cosmological singularities and the closed time-like curves.
We first classify D-branes in a group theoretical way, and then examine DBI
actions for effective theories on the D-branes. In particular, we show that
D-brane metric from the DBI action does not include singularities, and wave
functions on the D-branes are well behaved even in the presence of closed
time-like curves.
|
[
{
"created": "Sat, 19 Mar 2005 00:56:19 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2005 05:28:23 GMT",
"version": "v2"
},
{
"created": "Fri, 6 May 2005 15:35:39 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Hikida",
"Yasuaki",
""
],
[
"Nayak",
"Rashmi R.",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] |
We study D-branes in the Nappi-Witten model, which is a gauged WZW model based on (SL(2,R) x SU(2)) / (U(1) x U(1)). The model describes a four dimensional space-time consisting of cosmological regions with big bang/big crunch singularities and static regions with closed time-like curves. The aim of this paper is to investigate by D-brane probes whether there are pathologies associated with the cosmological singularities and the closed time-like curves. We first classify D-branes in a group theoretical way, and then examine DBI actions for effective theories on the D-branes. In particular, we show that D-brane metric from the DBI action does not include singularities, and wave functions on the D-branes are well behaved even in the presence of closed time-like curves.
| 5.136613
| 5.134231
| 5.830951
| 5.017284
| 5.108575
| 5.12804
| 5.098297
| 5.221458
| 4.981739
| 5.805825
| 4.97158
| 5.011559
| 5.205504
| 5.039249
| 5.021923
| 4.974302
| 4.889464
| 4.978341
| 4.894902
| 5.198596
| 4.843499
|
hep-th/0610186
|
Colin David Froggatt
|
J.L. Chkareuli, C.D. Froggatt, H.B. Nielsen
|
Deriving Gauge Symmetry and Spontaneous Lorentz Violation
|
Extended version
|
Nucl.Phys.B821:65-73,2009
|
10.1016/j.nuclphysb.2009.06.011
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a class of field theories with a four-vector field $A_{\mu}(x)$
in addition to other fields supplied with a global charge symmetry - theories
which have partial gauge symmetry in the sense of only imposing it on those
terms in the Lagrangian density which have derivatives as factors in them. We
suppose that spontaneous Lorentz invariance breaking occurs in such a theory
due to the four-vector field taking a non-zero vacuum expectation value. Under
some very mild assumptions, we show that this Lorentz violation is not
observable and the whole theory is practically gauge invariant. A very
important presupposition for this theorem is that an initial condition is
imposed on the no-derivative expressions corresponding to the early Universe
being essentially in a vacuum state. This condition then remains true forever
and can be interpreted as a gauge constraint. We formulate the conditions under
which the spontaneous Lorentz violation becomes observable. Spontaneously
broken Lorentz invariance could be seen by some primordially existing or
created "fossil" charges with the property of moving through the Universe with
a fixed velocity.
|
[
{
"created": "Mon, 16 Oct 2006 22:27:47 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2009 18:11:26 GMT",
"version": "v2"
}
] |
2009-08-11
|
[
[
"Chkareuli",
"J. L.",
""
],
[
"Froggatt",
"C. D.",
""
],
[
"Nielsen",
"H. B.",
""
]
] |
We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in the Lagrangian density which have derivatives as factors in them. We suppose that spontaneous Lorentz invariance breaking occurs in such a theory due to the four-vector field taking a non-zero vacuum expectation value. Under some very mild assumptions, we show that this Lorentz violation is not observable and the whole theory is practically gauge invariant. A very important presupposition for this theorem is that an initial condition is imposed on the no-derivative expressions corresponding to the early Universe being essentially in a vacuum state. This condition then remains true forever and can be interpreted as a gauge constraint. We formulate the conditions under which the spontaneous Lorentz violation becomes observable. Spontaneously broken Lorentz invariance could be seen by some primordially existing or created "fossil" charges with the property of moving through the Universe with a fixed velocity.
| 13.294544
| 14.502819
| 13.562788
| 13.211793
| 14.580532
| 14.687954
| 14.480532
| 13.54381
| 12.73533
| 14.747677
| 14.002318
| 12.937073
| 12.607823
| 12.86863
| 12.838321
| 13.095776
| 13.420645
| 13.196863
| 13.062336
| 12.527377
| 12.740347
|
2306.02862
|
Matteo Beccaria
|
Matteo Beccaria, Arkady A. Tseytlin
|
Comments on ABJM free energy on $S^{3}$ at large $N$ and perturbative
expansions in M-theory and string theory
|
24 pages. v3: comments added in Appendix B
| null |
10.1016/j.nuclphysb.2023.116286
|
Imperial-TP-AT-2023-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compare large $N$ expansion of the localization result for the free energy
$F$ in the 3d $\mathcal{N}=6$ superconformal $U(N)_k \times U(N)_{-k}$
Chern-Simons-matter theory to its AdS/CFT counterpart, i.e. to the perturbative
expansion of M-theory partition function on AdS$_{4}\times
S^{7}/\mathbb{Z}_{k}$ and to the weak string coupling expansion of type IIA
effective action on AdS$_{4}\times {\rm CP}^3$. We show that the general form
of the perturbative expansions of $F$ on the two sides of the AdS/CFT duality
is indeed the same. Moreover, the transcendentality properties of the
coefficients in the large $N$, large $k$ expansion of $F$ match those in the
corresponding M-theory or string theory expansions. To shed light on the
structure of the 1-loop M-theory partition function on AdS$_{4}\times
S^{7}/\mathbb{Z}_{k}$ we use the expression for the 1-loop 4-graviton
scattering amplitude in the 11d supergravity. We also use the known information
about the transcendental coefficients of the leading curvature invariants in
the low-energy effective action of type II string theory. Matching of the
remaining rational factors in the coefficients requires a precise information
about currently unknown RR field strength terms in the corresponding
superinvariants.
|
[
{
"created": "Mon, 5 Jun 2023 13:31:44 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jun 2023 08:04:29 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jul 2023 12:42:16 GMT",
"version": "v3"
}
] |
2023-08-09
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] |
We compare large $N$ expansion of the localization result for the free energy $F$ in the 3d $\mathcal{N}=6$ superconformal $U(N)_k \times U(N)_{-k}$ Chern-Simons-matter theory to its AdS/CFT counterpart, i.e. to the perturbative expansion of M-theory partition function on AdS$_{4}\times S^{7}/\mathbb{Z}_{k}$ and to the weak string coupling expansion of type IIA effective action on AdS$_{4}\times {\rm CP}^3$. We show that the general form of the perturbative expansions of $F$ on the two sides of the AdS/CFT duality is indeed the same. Moreover, the transcendentality properties of the coefficients in the large $N$, large $k$ expansion of $F$ match those in the corresponding M-theory or string theory expansions. To shed light on the structure of the 1-loop M-theory partition function on AdS$_{4}\times S^{7}/\mathbb{Z}_{k}$ we use the expression for the 1-loop 4-graviton scattering amplitude in the 11d supergravity. We also use the known information about the transcendental coefficients of the leading curvature invariants in the low-energy effective action of type II string theory. Matching of the remaining rational factors in the coefficients requires a precise information about currently unknown RR field strength terms in the corresponding superinvariants.
| 5.594801
| 4.986372
| 6.23812
| 5.025699
| 4.842731
| 4.984858
| 4.977493
| 4.860843
| 4.769442
| 6.71703
| 4.682922
| 4.870771
| 5.183092
| 4.794932
| 4.726136
| 4.754929
| 4.725298
| 4.81315
| 4.895945
| 5.281269
| 4.878953
|
hep-th/9611021
|
Shinji Hamamoto
|
Shinji Hamamoto (Toyama Univ.)
|
Gauge Theory of Massive Tensor Field II --- Covariant Expressions ---
|
14 pages, uses ptptex.sty for LaTeX
|
Prog.Theor.Phys. 97 (1997) 141-152
|
10.1143/PTP.97.141
|
TOYAMA-91
|
hep-th
| null |
Covariant forms are given to a gauge theory of massive tensor field. This is
accomplished by introducing another auxiliary field of scalar type to the
system composed of a symmetric tensor field and an auxiliary field of vector
type. The situation is compared to the case of the theory in which a tensor
field describes a scalar ghost as well as an ordinary massive tensor. In this
case only an auxiliary vector field is needed to give covariant expressions for
the gauge theory.
|
[
{
"created": "Tue, 5 Nov 1996 06:29:24 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hamamoto",
"Shinji",
"",
"Toyama Univ."
]
] |
Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The situation is compared to the case of the theory in which a tensor field describes a scalar ghost as well as an ordinary massive tensor. In this case only an auxiliary vector field is needed to give covariant expressions for the gauge theory.
| 11.96568
| 11.255754
| 12.355382
| 11.466449
| 11.614721
| 13.025899
| 12.249394
| 10.363374
| 11.711774
| 12.188377
| 10.562035
| 10.599064
| 11.479256
| 10.830324
| 11.183875
| 10.494117
| 10.282499
| 11.042401
| 10.497741
| 11.002275
| 10.762873
|
2112.02782
|
Hideki Ishihara
|
Hideki Ishihara and Satsuki Matsuno
|
Inhomogeneous Generalization of Einstein's Static Universe with Sasakian
Space
|
13 pages, 1 figure
|
Prog Theor Exp Phys (2022)
|
10.1093/ptep/ptac013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct exact static inhomogeneous solutions to Einstein's equations
with counter flow of particle fluid and a positive cosmological constant by
using the Sasaki metrics on three-dimensional spaces. The solutions, which
admit an arbitrary function that denotes inhomogeneous number density of
particles, are a generalization of Einstein's static universe. On some examples
of explicit solutions, we discuss non-linear density contrast and deviation of
the metric functions.
|
[
{
"created": "Mon, 6 Dec 2021 04:36:28 GMT",
"version": "v1"
}
] |
2022-03-23
|
[
[
"Ishihara",
"Hideki",
""
],
[
"Matsuno",
"Satsuki",
""
]
] |
We construct exact static inhomogeneous solutions to Einstein's equations with counter flow of particle fluid and a positive cosmological constant by using the Sasaki metrics on three-dimensional spaces. The solutions, which admit an arbitrary function that denotes inhomogeneous number density of particles, are a generalization of Einstein's static universe. On some examples of explicit solutions, we discuss non-linear density contrast and deviation of the metric functions.
| 24.05596
| 27.788027
| 18.537138
| 17.750015
| 22.298727
| 22.100597
| 25.144308
| 19.376472
| 22.730835
| 20.416981
| 20.361242
| 22.536079
| 19.993923
| 19.426079
| 20.624527
| 21.132023
| 20.923378
| 18.919024
| 21.620857
| 20.153595
| 21.975163
|
2009.01529
|
Jian-Pin Wu
|
Peng Liu and Jian-Pin Wu
|
Mixed State Entanglement and Thermal Phase Transitions
|
24 pages, 13 figures, References added
|
Phys. Rev. D 104, 046017 (2021)
|
10.1103/PhysRevD.104.046017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relationship between mixed state entanglement and thermal phase
transitions. As a typical example, we compute the holographic entanglement
entropy (HEE), holographic mutual information (MI) and the holographic
entanglement of purification (EoP) over the superconductivity phase transition.
We find that HEE, MI and EoP can all diagnose the superconducting phase
transition. They are continuous at the critical point, but their first
derivative with respect to temperature is discontinuous. MI decreases with
increasing temperature and exhibits a convex behavior, while HEE increases with
increasing temperature and exhibits a concave behavior. However, EoP can
exhibit either the same or the opposite behavior as MI, depending on the size
of the specific configuration. These results show that EoP captures more
abundant information than HEE and MI.
We also provide a new algorithm to compute the EoP for general
configurations.
|
[
{
"created": "Thu, 3 Sep 2020 09:14:39 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2020 03:11:54 GMT",
"version": "v2"
}
] |
2021-08-25
|
[
[
"Liu",
"Peng",
""
],
[
"Wu",
"Jian-Pin",
""
]
] |
We study the relationship between mixed state entanglement and thermal phase transitions. As a typical example, we compute the holographic entanglement entropy (HEE), holographic mutual information (MI) and the holographic entanglement of purification (EoP) over the superconductivity phase transition. We find that HEE, MI and EoP can all diagnose the superconducting phase transition. They are continuous at the critical point, but their first derivative with respect to temperature is discontinuous. MI decreases with increasing temperature and exhibits a convex behavior, while HEE increases with increasing temperature and exhibits a concave behavior. However, EoP can exhibit either the same or the opposite behavior as MI, depending on the size of the specific configuration. These results show that EoP captures more abundant information than HEE and MI. We also provide a new algorithm to compute the EoP for general configurations.
| 5.103251
| 4.285775
| 5.927116
| 4.831465
| 4.262478
| 4.359223
| 4.429392
| 4.515112
| 4.769813
| 5.941102
| 4.501768
| 4.717709
| 5.295635
| 5.035038
| 4.808203
| 4.867454
| 4.86182
| 4.822948
| 4.889449
| 5.328393
| 4.784839
|
2205.09320
|
Kento Akamatsu
|
Kento Akamatsu, Takuya Hirose and Nobuhito Maru
|
Gauge Symmetry Breaking in Flux Compactification with Wilson-line Scalar
Condensate
|
34 pages, 5 figures, published version in PRD
| null |
10.1103/PhysRevD.106.035035
|
NITEP 137
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss the gauge symmetry breaking of six dimensional theories in flux
compactification with a magnetic flux background and a constant vacuum
expectation value (VEV) for the scalar fields, which are zero modes of extra
spatial components of the gauge field. Although the effective potential for the
scalar fields are known not to be generated classically and radiatively in a
magnetic flux background only, the one-loop effective potential is shown to be
generated by the effects of the non-zero constant VEV. As illustrations, we
calculate the one-loop effective potential in SU(2) and SU(3) Yang-Mills
theories. In both cases, we find that the potential minimum is located at
non-zero VEV and the gauge symmetry breaking takes place.
|
[
{
"created": "Thu, 19 May 2022 04:37:22 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2022 02:17:17 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Sep 2022 08:37:52 GMT",
"version": "v3"
}
] |
2022-09-14
|
[
[
"Akamatsu",
"Kento",
""
],
[
"Hirose",
"Takuya",
""
],
[
"Maru",
"Nobuhito",
""
]
] |
We discuss the gauge symmetry breaking of six dimensional theories in flux compactification with a magnetic flux background and a constant vacuum expectation value (VEV) for the scalar fields, which are zero modes of extra spatial components of the gauge field. Although the effective potential for the scalar fields are known not to be generated classically and radiatively in a magnetic flux background only, the one-loop effective potential is shown to be generated by the effects of the non-zero constant VEV. As illustrations, we calculate the one-loop effective potential in SU(2) and SU(3) Yang-Mills theories. In both cases, we find that the potential minimum is located at non-zero VEV and the gauge symmetry breaking takes place.
| 7.036051
| 6.450042
| 6.661386
| 6.647523
| 6.370707
| 6.539531
| 6.428884
| 6.711699
| 6.22811
| 6.572283
| 6.540637
| 6.710861
| 6.601675
| 6.608978
| 6.745533
| 6.729508
| 6.888944
| 6.730179
| 6.609031
| 6.648543
| 6.748747
|
1507.08793
|
Diego Rubiera-Garcia
|
R. Casana, E. da Hora, D. Rubiera-Garcia and C. dos Santos
|
Topological vortices in generalized Born-Infeld-Higgs electrodynamics
|
8 pages, 8 figures, to appear in EPJC
|
Eur. Phys. J. C 75 (2015) 8, 380
|
10.1140/epjc/s10052-015-3596-1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A consistent BPS formalism to study the existence of topological axially
symmetric vortices in generalized versions of the Born-Infeld-Higgs
electrodynamics is implemented. Such a generalization modifies the field
dynamics via introduction of three non-negative functions depending only in the
Higgs field, namely, $G(|\phi|)$, $w(|\phi|) $ and $V(|\phi|)$. A set of
first-order differential equations is attained when these functions satisfy a
constraint related to the Ampere law. Such a constraint allows to minimize the
system energy in such way that it becomes proportional to the magnetic flux.
Our results provides an enhancement of topological vortex solutions in
Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models such
that a generalized version of Maxwell-Higgs electrodynamics is recovered in a
certain limit of the theory.
|
[
{
"created": "Fri, 31 Jul 2015 08:07:23 GMT",
"version": "v1"
}
] |
2015-12-09
|
[
[
"Casana",
"R.",
""
],
[
"da Hora",
"E.",
""
],
[
"Rubiera-Garcia",
"D.",
""
],
[
"Santos",
"C. dos",
""
]
] |
A consistent BPS formalism to study the existence of topological axially symmetric vortices in generalized versions of the Born-Infeld-Higgs electrodynamics is implemented. Such a generalization modifies the field dynamics via introduction of three non-negative functions depending only in the Higgs field, namely, $G(|\phi|)$, $w(|\phi|) $ and $V(|\phi|)$. A set of first-order differential equations is attained when these functions satisfy a constraint related to the Ampere law. Such a constraint allows to minimize the system energy in such way that it becomes proportional to the magnetic flux. Our results provides an enhancement of topological vortex solutions in Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models such that a generalized version of Maxwell-Higgs electrodynamics is recovered in a certain limit of the theory.
| 10.185795
| 8.336477
| 9.77257
| 8.354985
| 8.334286
| 8.396008
| 8.259087
| 8.04639
| 7.881175
| 10.277595
| 8.531873
| 8.701356
| 9.144526
| 8.939914
| 8.783477
| 8.70323
| 8.598335
| 8.691852
| 8.918557
| 9.330008
| 8.819921
|
1303.7010
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
Abrikosov-Nielsen-Olesen string with Non-Abelian Moduli and "Spin-Orbit"
Interaction
|
5 pages, no figures; v.2 One reference added, one footnote added.
Final version to appear in Phys. Rev. Letters; v3. Corrections in
proofreading incorporated
| null |
10.1103/PhysRevLett.110.201602
|
FTPI-MINN-13/11, UMN-TH-3143/13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is generally believed that the spontaneous breaking of the Poincar\'e
group by flux tubes (strings) generate only two zero modes localized on the
string and associated with the spontaneous breaking of translational invariance
(the so-called Low-Manohar argument). Being perfectly true in many instances it
is nevertheless nonuniversal, and have to be amended in the case of order
parameters carrying spatial indices. We show that under certain circumstances
additional zero (or quasizero) modes can appear due to spin symmetry.
|
[
{
"created": "Thu, 28 Mar 2013 00:00:53 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2013 19:58:08 GMT",
"version": "v2"
},
{
"created": "Wed, 8 May 2013 16:56:01 GMT",
"version": "v3"
}
] |
2013-05-22
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
It is generally believed that the spontaneous breaking of the Poincar\'e group by flux tubes (strings) generate only two zero modes localized on the string and associated with the spontaneous breaking of translational invariance (the so-called Low-Manohar argument). Being perfectly true in many instances it is nevertheless nonuniversal, and have to be amended in the case of order parameters carrying spatial indices. We show that under certain circumstances additional zero (or quasizero) modes can appear due to spin symmetry.
| 17.923321
| 18.644491
| 17.17948
| 16.451839
| 18.483545
| 19.40465
| 18.091778
| 16.875496
| 16.136978
| 20.877165
| 15.287628
| 15.983179
| 16.61241
| 15.318301
| 16.200132
| 16.213856
| 15.730453
| 15.831472
| 16.056458
| 16.766518
| 15.771766
|
0912.5066
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri
|
Inverse problem - reconstruction of dark energy models
|
LaTeX 11 pages, references are added, to appear in Proceedings of
International Workshop on Dark Matter, Dark Energy and Matter-Antimatter
Asymmetry, National Tsing Hua University, Hsinchu, Taiwan, November 20-21,
2009
|
Mod.Phys.Lett.A25:859-873,2010
|
10.1142/S0217732310000022
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review how we can construct the gravity models which reproduces the
arbitrary development of the universe. We consider the reconstruction in the
Einstein gravity coupled with generalized perfect fluid, scalar-Einstein
gravity, scalar-Einstein-Gauss-Bonnet gravity, Einstein-$F(G)$-gravity, and
$F(R)$-gravity. Very explicit formulas are given to reconstruct the models,
which could be used when we find the detailed data of the development of the
universe by future observations. Especially we find the formulas using
e-foldings, which has a direct relation with observed redshift. As long as we
observe the time development of the Hubble rate $H$, there exists a variety of
models describing the arbitrary development of universe.
|
[
{
"created": "Tue, 29 Dec 2009 08:50:59 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jan 2010 12:09:32 GMT",
"version": "v2"
}
] |
2010-04-28
|
[
[
"Nojiri",
"Shin'ichi",
""
]
] |
We review how we can construct the gravity models which reproduces the arbitrary development of the universe. We consider the reconstruction in the Einstein gravity coupled with generalized perfect fluid, scalar-Einstein gravity, scalar-Einstein-Gauss-Bonnet gravity, Einstein-$F(G)$-gravity, and $F(R)$-gravity. Very explicit formulas are given to reconstruct the models, which could be used when we find the detailed data of the development of the universe by future observations. Especially we find the formulas using e-foldings, which has a direct relation with observed redshift. As long as we observe the time development of the Hubble rate $H$, there exists a variety of models describing the arbitrary development of universe.
| 13.441273
| 12.647033
| 11.983232
| 11.185681
| 12.445466
| 11.587083
| 12.78451
| 11.973594
| 11.710685
| 12.865768
| 12.153219
| 12.26872
| 11.576922
| 11.61226
| 11.586621
| 12.15065
| 11.949233
| 11.834201
| 12.241632
| 11.924937
| 11.984776
|
2205.13762
|
Ahmadullah Zahed
|
Debapriyo Chowdhury, Parthiv Haldar, Ahmadullah Zahed
|
Locality and Analyticity of the Crossing Symmetric Dispersion Relation
|
v2: 31 pages, 7 figures, the version to appear in JHEP
| null |
10.1007/JHEP10(2022)180
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper discusses the locality and analyticity of the crossing symmetric
dispersion relation (CSDR). Imposing locality constraints on the CSDR gives
rise to a local and fully crossing symmetric expansion of scattering
amplitudes, dubbed as Feynman block expansion. A general formula is provided
for the contact terms that emerge from the expansion. The analyticity domain of
the expansion is also derived analogously to the Lehmann-Martin ellipse. Our
observation of type-II super-string tree amplitude suggests that the Feynman
block expansion has a bigger analyticity domain and better convergence.
|
[
{
"created": "Fri, 27 May 2022 05:29:56 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2022 14:18:13 GMT",
"version": "v2"
}
] |
2022-10-31
|
[
[
"Chowdhury",
"Debapriyo",
""
],
[
"Haldar",
"Parthiv",
""
],
[
"Zahed",
"Ahmadullah",
""
]
] |
This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is provided for the contact terms that emerge from the expansion. The analyticity domain of the expansion is also derived analogously to the Lehmann-Martin ellipse. Our observation of type-II super-string tree amplitude suggests that the Feynman block expansion has a bigger analyticity domain and better convergence.
| 15.109465
| 13.473476
| 16.168997
| 13.109105
| 14.425283
| 13.884205
| 13.965803
| 13.834465
| 13.732068
| 19.413027
| 13.092407
| 13.820481
| 14.181519
| 13.580912
| 13.789019
| 12.997003
| 13.529332
| 13.409555
| 13.810289
| 14.294761
| 13.768681
|
1307.0195
|
Shibaji Roy
|
Parijat Dey and Shibaji Roy
|
Zero sound in strange metals with hyperscaling violation from holography
|
16 pages, no figures; v2: minor changes, references added; v3:
eq.(43) and the related text have been corrected, more refs added, version to
appear in Phys. Rev. D
| null |
10.1103/PhysRevD.88.046010
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hyperscaling violating `strange metal' phase of heavy fermion compounds can
be described holographically by probe D-branes in the background of a Lifshitz
space-time (dynamical exponent $z$ and spatial dimensions $d$) with
hyperscaling violation (corresponding exponent $\theta$). Without the
hyperscaling violation, strange metals are known to exhibit zero sound mode for
$z<2$ analogous to the Fermi liquids. In this paper, we study its fate in the
presence of hyperscaling violation and find that in this case the zero sound
mode exists for $z < 2(1+|\theta|/d)$, where the positivity of the specific
heat and the null energy condition of the background dictate that $\theta<0$
and $z\geq 1$. However, for $z \geq 2(1+|\theta|/d)$, there is no well-defined
quasiparticle for the zero sound. The systems behave like Fermi liquid for
$2|\theta|=dz$ and like Bose liquid for $2|\theta| = qdz$ (where $q$ is the
number of spatial dimensions along which D-branes are extended in the
background space), but in general they behave as a new kind of quantum liquid.
We also compute the AC conductivity of the systems and briefly comment on the
results.
|
[
{
"created": "Sun, 30 Jun 2013 10:18:50 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2013 15:11:38 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Aug 2013 15:35:15 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Dey",
"Parijat",
""
],
[
"Roy",
"Shibaji",
""
]
] |
Hyperscaling violating `strange metal' phase of heavy fermion compounds can be described holographically by probe D-branes in the background of a Lifshitz space-time (dynamical exponent $z$ and spatial dimensions $d$) with hyperscaling violation (corresponding exponent $\theta$). Without the hyperscaling violation, strange metals are known to exhibit zero sound mode for $z<2$ analogous to the Fermi liquids. In this paper, we study its fate in the presence of hyperscaling violation and find that in this case the zero sound mode exists for $z < 2(1+|\theta|/d)$, where the positivity of the specific heat and the null energy condition of the background dictate that $\theta<0$ and $z\geq 1$. However, for $z \geq 2(1+|\theta|/d)$, there is no well-defined quasiparticle for the zero sound. The systems behave like Fermi liquid for $2|\theta|=dz$ and like Bose liquid for $2|\theta| = qdz$ (where $q$ is the number of spatial dimensions along which D-branes are extended in the background space), but in general they behave as a new kind of quantum liquid. We also compute the AC conductivity of the systems and briefly comment on the results.
| 6.310124
| 6.879854
| 6.920912
| 6.075627
| 6.843186
| 6.813765
| 6.939194
| 6.407563
| 6.19546
| 7.525697
| 6.173517
| 6.094509
| 6.227283
| 6.02633
| 6.044864
| 6.08701
| 5.941705
| 6.186141
| 5.836545
| 6.261577
| 6.051488
|
2207.04960
|
Herbert Weigel
|
N. Graham, H. Weigel
|
Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$
|
18 pages, typos corrected to match journal version
|
Phys. Rev. D106 (2022) 076013
|
10.1103/PhysRevD.106.076013
| null |
hep-th cond-mat.supr-con hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider vortices in scalar electrodynamics and compute the leading
quantum correction to their energies for the BPS case of identical classical
masses of the Higgs and gauge fields. In particular, we focus on the winding
number $n$ dependence of these corrections, from which we can extract the
binding energies of configurations with larger $n$. For both dimensionalities,
$D=2+1$ and $D=3+1$, we find that quantum corrections are negative and scale
approximately linearly with $n$, so that combined vortices are favored over
isolated ones.
|
[
{
"created": "Mon, 11 Jul 2022 15:40:19 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Sep 2022 06:35:12 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Oct 2022 14:47:09 GMT",
"version": "v3"
}
] |
2022-10-27
|
[
[
"Graham",
"N.",
""
],
[
"Weigel",
"H.",
""
]
] |
We consider vortices in scalar electrodynamics and compute the leading quantum correction to their energies for the BPS case of identical classical masses of the Higgs and gauge fields. In particular, we focus on the winding number $n$ dependence of these corrections, from which we can extract the binding energies of configurations with larger $n$. For both dimensionalities, $D=2+1$ and $D=3+1$, we find that quantum corrections are negative and scale approximately linearly with $n$, so that combined vortices are favored over isolated ones.
| 8.757426
| 7.805117
| 8.424458
| 7.296193
| 7.690657
| 8.157879
| 8.045451
| 7.55903
| 7.273171
| 8.100602
| 7.445676
| 7.947998
| 7.945846
| 7.814408
| 7.88364
| 7.655185
| 7.927677
| 7.835553
| 7.759048
| 7.911289
| 8.131946
|
hep-th/9903134
|
Chanju Kim
|
Changrim Ahn, Chanju Kim, Chaiho Rim
|
Hidden Relation between Reflection Amplitudes and Thermodynamic Bethe
Ansatz
|
25 pages, 1 ps figure, LaTeX 2e
|
Nucl.Phys. B556 (1999) 505-529
|
10.1016/S0550-3213(99)00405-8
|
APCTP-1999007, KIAS-P99018
|
hep-th
| null |
In this paper we compute the scaling functions of the effective central
charges for various quantum integrable models in a deep ultraviolet region
$R\to 0$ using two independent methods. One is based on the ``reflection
amplitudes'' of the (super-)Liouville field theory where the scaling functions
are given by the conjugate momentum to the zero-modes. The conjugate momentum
is quantized for the sinh-Gordon, the Bullough-Dodd, and the super sinh-Gordon
models where the quantization conditions depend on the size $R$ of the system
and the reflection amplitudes. The other method is to solve the standard
thermodynamic Bethe ansatz (TBA) equations for the integrable models in a
perturbative series of $1/(const. - \ln R)$. The constant factor which is not
fixed in the lowest order computations can be identified {\it only when} we
compare the higher order corrections with the quantization conditions.
Numerical TBA analysis shows a perfect match for the scaling functions obtained
by the first method. Our results show that these two methods are complementary
to each other. While the reflection amplitudes are confirmed by the numerical
TBA analysis, the analytic structures of the TBA equations become clear only
when the reflection amplitudes are introduced.
|
[
{
"created": "Tue, 16 Mar 1999 04:43:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ahn",
"Changrim",
""
],
[
"Kim",
"Chanju",
""
],
[
"Rim",
"Chaiho",
""
]
] |
In this paper we compute the scaling functions of the effective central charges for various quantum integrable models in a deep ultraviolet region $R\to 0$ using two independent methods. One is based on the ``reflection amplitudes'' of the (super-)Liouville field theory where the scaling functions are given by the conjugate momentum to the zero-modes. The conjugate momentum is quantized for the sinh-Gordon, the Bullough-Dodd, and the super sinh-Gordon models where the quantization conditions depend on the size $R$ of the system and the reflection amplitudes. The other method is to solve the standard thermodynamic Bethe ansatz (TBA) equations for the integrable models in a perturbative series of $1/(const. - \ln R)$. The constant factor which is not fixed in the lowest order computations can be identified {\it only when} we compare the higher order corrections with the quantization conditions. Numerical TBA analysis shows a perfect match for the scaling functions obtained by the first method. Our results show that these two methods are complementary to each other. While the reflection amplitudes are confirmed by the numerical TBA analysis, the analytic structures of the TBA equations become clear only when the reflection amplitudes are introduced.
| 8.974866
| 9.263996
| 9.969213
| 8.40984
| 8.58967
| 8.872672
| 9.410001
| 8.790168
| 8.811808
| 10.970546
| 8.360147
| 8.782151
| 9.045287
| 8.576244
| 8.72306
| 8.785666
| 8.88634
| 8.567536
| 8.737303
| 8.893805
| 8.54775
|
1008.0087
|
Mairi Sakellariadou
|
Rhiannon Gwyn, Mairi Sakellariadou, Spyros Sypsas
|
Cosmic strings from pseudo-anomalous Fayet-Iliopoulos U(1) in D3/D7
brane inflation
|
10 pages; minor changes to match published version
|
JHEP 1010:075, 2010
|
10.1007/JHEP10(2010)075
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the consequences of recent developments on Fayet-Iliopoulos (FI)
terms for D-term inflationary models. There is currently no known way to couple
constant FI terms to supergravity consistently; only field-dependent FI terms
are allowed. These are natural in string theory and we argue that the FI term
in D3/D7 inflation turns out to be of this type, corresponding to a
pseudo-anomalous U(1). T he anomaly is canceled by the Green-Schwarz mechanism
in 4 dimensions. Inflation proceeds as usual, except that the scale is set by
the GS parameter. Cosmic strings resulting from a pseudo-anomalous U(1) have
potentially interesting characteristics. Originally expected to be global, they
turn out to be local in the string theory context and can support currents. We
outline the nature of these strings, discuss bounds on their formation, and
summarize resulting cosmological consequences.
|
[
{
"created": "Sat, 31 Jul 2010 12:15:21 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2011 18:13:06 GMT",
"version": "v2"
}
] |
2011-03-22
|
[
[
"Gwyn",
"Rhiannon",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Sypsas",
"Spyros",
""
]
] |
We examine the consequences of recent developments on Fayet-Iliopoulos (FI) terms for D-term inflationary models. There is currently no known way to couple constant FI terms to supergravity consistently; only field-dependent FI terms are allowed. These are natural in string theory and we argue that the FI term in D3/D7 inflation turns out to be of this type, corresponding to a pseudo-anomalous U(1). T he anomaly is canceled by the Green-Schwarz mechanism in 4 dimensions. Inflation proceeds as usual, except that the scale is set by the GS parameter. Cosmic strings resulting from a pseudo-anomalous U(1) have potentially interesting characteristics. Originally expected to be global, they turn out to be local in the string theory context and can support currents. We outline the nature of these strings, discuss bounds on their formation, and summarize resulting cosmological consequences.
| 10.679553
| 10.673859
| 10.487347
| 9.818383
| 10.32694
| 10.961463
| 10.423141
| 10.27783
| 10.50912
| 11.510447
| 10.673098
| 10.58284
| 10.165065
| 10.092043
| 10.131028
| 10.568023
| 10.017239
| 10.055196
| 10.114044
| 10.430246
| 10.385808
|
hep-th/9302142
| null |
Takayuki Hori and Masaru Kamata
|
Wave Functional of Quantum Black Holes in Two Dimensions
|
9 pages, LaTeX, TEP-10
| null | null | null |
hep-th
| null |
The wheeler-DeWitt method is applied to the quantization of the 1 + 1
dimensional dilaton gravity coupled with the conformal matter fields. Exact
solutions to the WD equations are found, which are interpreted as
right(left)-moving black holes.
|
[
{
"created": "Sun, 28 Feb 1993 16:25:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hori",
"Takayuki",
""
],
[
"Kamata",
"Masaru",
""
]
] |
The wheeler-DeWitt method is applied to the quantization of the 1 + 1 dimensional dilaton gravity coupled with the conformal matter fields. Exact solutions to the WD equations are found, which are interpreted as right(left)-moving black holes.
| 11.621463
| 8.176726
| 9.102918
| 8.274616
| 8.747399
| 7.616394
| 8.191781
| 9.030888
| 8.136456
| 9.713416
| 8.708167
| 9.640186
| 9.494373
| 9.038668
| 9.12748
| 9.099396
| 8.853506
| 9.103819
| 9.16789
| 8.799012
| 9.63314
|
1109.0532
|
Leo van Nierop
|
C.P. Burgess, Anshuman Maharana, L. van Nierop, A. A. Nizami and F.
Quevedo
|
On Brane Back-Reaction and de Sitter Solutions in Higher-Dimensional
Supergravity
|
23 pages plus appendices
|
JHEP 1204 (2012) 018
|
10.1007/JHEP04(2012)018
|
DAMTP-2011-66
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the problem of finding lower-dimensional de Sitter solutions to
the classical field equations of higher-dimensional supergravity necessarily
requires understanding the back-reaction of whatever localized objects source
the bulk fields. However, we also find that most of the details of the
back-reacted solutions are not important for determining the lower-dimensional
curvature. We find, in particular, a classically exact expression that, for a
broad class of geometries, directly relates the curvature of the
lower-dimensional geometry to asymptotic properties of various bulk fields near
the sources. Specializing to codimension-two sources, we find that the
contribution involving the asymptotic behaviour of the warp factor (which has a
definite sign for most supergravities and so is usually used to infer a
preference for anti-de Sitter geometries) is precisely canceled by the
contribution of the sources themselves (that are left out in earlier
treatments). We identify which combination of bulk fields survives this
cancelation, and so controls the sign of the lower-dimensional geometry, for
several supergravities in 6, 10 and 11 dimensions. Our results show precisely
why explicit 4D de Sitter solutions to 6D supergravity evade general no-go
theorems. As an application we show that all classical compactifications of
Type IIB supergravity (and F-theory) to 8 dimensions are 8D-flat if they
involve only the metric and the axio-dilaton sourced by codimension-two
sources, extending earlier results to include warped solutions and more general
source properties.
|
[
{
"created": "Fri, 2 Sep 2011 19:56:16 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Burgess",
"C. P.",
""
],
[
"Maharana",
"Anshuman",
""
],
[
"van Nierop",
"L.",
""
],
[
"Nizami",
"A. A.",
""
],
[
"Quevedo",
"F.",
""
]
] |
We argue that the problem of finding lower-dimensional de Sitter solutions to the classical field equations of higher-dimensional supergravity necessarily requires understanding the back-reaction of whatever localized objects source the bulk fields. However, we also find that most of the details of the back-reacted solutions are not important for determining the lower-dimensional curvature. We find, in particular, a classically exact expression that, for a broad class of geometries, directly relates the curvature of the lower-dimensional geometry to asymptotic properties of various bulk fields near the sources. Specializing to codimension-two sources, we find that the contribution involving the asymptotic behaviour of the warp factor (which has a definite sign for most supergravities and so is usually used to infer a preference for anti-de Sitter geometries) is precisely canceled by the contribution of the sources themselves (that are left out in earlier treatments). We identify which combination of bulk fields survives this cancelation, and so controls the sign of the lower-dimensional geometry, for several supergravities in 6, 10 and 11 dimensions. Our results show precisely why explicit 4D de Sitter solutions to 6D supergravity evade general no-go theorems. As an application we show that all classical compactifications of Type IIB supergravity (and F-theory) to 8 dimensions are 8D-flat if they involve only the metric and the axio-dilaton sourced by codimension-two sources, extending earlier results to include warped solutions and more general source properties.
| 9.899463
| 10.409144
| 10.821107
| 10.280585
| 10.833715
| 9.860102
| 10.503388
| 10.095997
| 9.863609
| 12.213993
| 9.684961
| 10.027487
| 10.08276
| 9.718997
| 9.648541
| 9.691448
| 9.535374
| 9.856942
| 9.777301
| 10.148603
| 9.372952
|
hep-th/9302028
|
Adrian Ocneanu
|
Adrian Ocneanu
|
A note on simplicial dimension shifting
|
3 pages
| null | null | null |
hep-th math.QA
| null |
We discuss a simplicial dimension shift which associates to each n-manifold
an n-1-manifold. As a corollary we show that an invariant which was recently
proposed by Ooguri and by Crane and Yetter for the construction of
4-dimensional quantum field theories out of 3-dimensional theories is trivial.
|
[
{
"created": "Mon, 8 Feb 1993 23:44:12 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Ocneanu",
"Adrian",
""
]
] |
We discuss a simplicial dimension shift which associates to each n-manifold an n-1-manifold. As a corollary we show that an invariant which was recently proposed by Ooguri and by Crane and Yetter for the construction of 4-dimensional quantum field theories out of 3-dimensional theories is trivial.
| 11.722731
| 10.188868
| 12.562263
| 10.358478
| 11.871699
| 11.107817
| 10.739728
| 10.975129
| 9.545164
| 13.624703
| 10.067696
| 10.12999
| 11.236927
| 10.191504
| 9.895817
| 10.101814
| 10.327008
| 10.046495
| 10.376769
| 11.703732
| 9.673
|
hep-th/0010136
|
Klaus Kirsten
|
Peter Gilkey, Klaus Kirsten and JeongHyeong Park
|
Heat trace asymptotics of a time dependent process
|
14 pages, AMS-TEX
|
J.Phys.A34:1153-1168,2001
|
10.1088/0305-4470/34/6/307
| null |
hep-th
| null |
We study the heat trace asymptotics defined by a time dependent family of
operators of Laplace type which naturally appears for time dependent metrics.
|
[
{
"created": "Tue, 17 Oct 2000 13:09:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gilkey",
"Peter",
""
],
[
"Kirsten",
"Klaus",
""
],
[
"Park",
"JeongHyeong",
""
]
] |
We study the heat trace asymptotics defined by a time dependent family of operators of Laplace type which naturally appears for time dependent metrics.
| 20.941759
| 14.45798
| 18.926895
| 18.180006
| 16.077362
| 19.097551
| 17.431488
| 17.566996
| 18.101225
| 26.495197
| 15.13284
| 19.137051
| 23.983213
| 21.135521
| 20.115801
| 19.485758
| 21.072254
| 20.454493
| 22.164284
| 22.328529
| 18.947344
|
2212.06086
|
Tristan H\"ubsch
|
Per Berglund, Tristan H\"ubsch and Djordje Minic
|
On de Sitter Spacetime and String Theory
|
118 pages, 4 figures; amended and updated references (supersedes
erroneous v.2)
|
Int. J. Mod. Phys. D 32 (09) 2330002 (2023)
|
10.1142/S0218271823300021
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review various aspects of de Sitter spacetime in string theory: its status
as an effective field theory spacetime solution, its relation to the vacuum
energy problem in string theory, its (global) holographic definition in terms
of two entangled and non-canonical conformal field theories, as well as a
realization of a realistic de Sitter universe endowed with the observed visible
matter and the necessary dark sector in order to reproduce the realistic
cosmological structure. In particular, based on the new insight regarding the
cosmological constant problem in string theory, we argue that in a doubled,
T-duality-symmetric, phase-space-like and non-commutative generalized-geometric
formulation, string theory can naturally lead to a small and positive
cosmological constant that is radiatively stable and technically natural. Such
a formulation is fundamentally based on a quantum spacetime, but in an
effective spacetime description of this general formulation of string theory,
the curvature of the dual spacetime is the cosmological constant of the
observed spacetime, while the size of the dual spacetime is the gravitational
constant of the same observed spacetime. Also, the three scales associated with
intrinsic non-commutativity of string theory, the cosmological constant scale
and the Planck scale, as well as the Higgs scale, can be arranged to satisfy
various seesaw-like formulae. Along the way, we show that these new features of
string theory can be implemented in a particular deformation of
cosmic-string-like models.
|
[
{
"created": "Mon, 12 Dec 2022 18:00:53 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 17:53:47 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Feb 2023 01:47:52 GMT",
"version": "v3"
}
] |
2023-08-30
|
[
[
"Berglund",
"Per",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Minic",
"Djordje",
""
]
] |
We review various aspects of de Sitter spacetime in string theory: its status as an effective field theory spacetime solution, its relation to the vacuum energy problem in string theory, its (global) holographic definition in terms of two entangled and non-canonical conformal field theories, as well as a realization of a realistic de Sitter universe endowed with the observed visible matter and the necessary dark sector in order to reproduce the realistic cosmological structure. In particular, based on the new insight regarding the cosmological constant problem in string theory, we argue that in a doubled, T-duality-symmetric, phase-space-like and non-commutative generalized-geometric formulation, string theory can naturally lead to a small and positive cosmological constant that is radiatively stable and technically natural. Such a formulation is fundamentally based on a quantum spacetime, but in an effective spacetime description of this general formulation of string theory, the curvature of the dual spacetime is the cosmological constant of the observed spacetime, while the size of the dual spacetime is the gravitational constant of the same observed spacetime. Also, the three scales associated with intrinsic non-commutativity of string theory, the cosmological constant scale and the Planck scale, as well as the Higgs scale, can be arranged to satisfy various seesaw-like formulae. Along the way, we show that these new features of string theory can be implemented in a particular deformation of cosmic-string-like models.
| 10.726777
| 11.330111
| 11.098937
| 10.753916
| 10.645816
| 11.43522
| 11.514015
| 10.475996
| 11.050487
| 12.235571
| 10.762149
| 10.727698
| 10.804938
| 10.687724
| 10.506775
| 10.70023
| 10.794695
| 10.739621
| 10.991829
| 11.330629
| 10.286624
|
hep-th/9801144
|
Dr Mario Trigiante
|
M. Trigiante
|
Dualities in Supergravity and Solvable Lie Algebras
|
PhD thesis, 142 pages, 1 Textype, 14 eps-figures
| null | null | null |
hep-th
| null |
The purpose of the present thesis is to give a self-contained review of the
solvable Lie algebra approach to supergravity problems related with S, T and U
dualities. After recalling the general features of dualities in both
Superstring theory and Supergravity, we introduce the solvable Lie algebra
formalism as an alternative description of the scalar manifold in a broad class
of supergravity theories. It is emphasized how this mathematical technique on
one hand allows to achieve a geometrical intrinsic characterization of
Ramond-Ramond, Neveu-Schwarz and Peccei-Quinn scalars, once the supergravity
theory is interpreted as the low energy limit of a suitably compactified
superstring theory, on the other hand provides a convenient framework in which
to deal with several non-perturbative problems. Using solvable Lie algebras for
instance we find a general mechanism for spontaneous N=2 to N=1 local
supersymmetry breaking. Moreover solvable Lie algebras are used to define a
general method for studying systematically BPS saturated Black Hole solutions
in supergravity.
|
[
{
"created": "Wed, 21 Jan 1998 21:10:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Trigiante",
"M.",
""
]
] |
The purpose of the present thesis is to give a self-contained review of the solvable Lie algebra approach to supergravity problems related with S, T and U dualities. After recalling the general features of dualities in both Superstring theory and Supergravity, we introduce the solvable Lie algebra formalism as an alternative description of the scalar manifold in a broad class of supergravity theories. It is emphasized how this mathematical technique on one hand allows to achieve a geometrical intrinsic characterization of Ramond-Ramond, Neveu-Schwarz and Peccei-Quinn scalars, once the supergravity theory is interpreted as the low energy limit of a suitably compactified superstring theory, on the other hand provides a convenient framework in which to deal with several non-perturbative problems. Using solvable Lie algebras for instance we find a general mechanism for spontaneous N=2 to N=1 local supersymmetry breaking. Moreover solvable Lie algebras are used to define a general method for studying systematically BPS saturated Black Hole solutions in supergravity.
| 7.800766
| 8.389482
| 8.504634
| 7.251612
| 7.666559
| 8.284255
| 7.767244
| 7.653169
| 7.435749
| 8.563087
| 7.804302
| 7.417218
| 8.032778
| 7.412831
| 7.493037
| 7.572172
| 7.561991
| 7.654658
| 7.531319
| 7.83665
| 7.745072
|
hep-th/9908170
|
Martin Bojowald
|
Martin Bojowald
|
Abelian BF-Theory and Spherically Symmetric Electromagnetism
|
21 pages, LaTeX2e, v2: minor corrections in some formulas and a new
reference
|
J.Math.Phys.41:4313-4329,2000
|
10.1063/1.533344
|
PITHA 99/27
|
hep-th gr-qc
| null |
Three different methods to quantize the spherically symmetric sector of
electromagnetism are presented: First, it is shown that this sector is
equivalent to Abelian BF-theory in four spacetime dimensions with suitable
boundary conditions. This theory, in turn, is quantized by both a reduced phase
space quantization and a spin network quantization. Finally, the outcome is
compared with the results obtained in the recently proposed general quantum
symmetry reduction scheme. In the magnetically uncharged sector, where all
three approaches apply, they all lead to the same quantum theory.
|
[
{
"created": "Thu, 26 Aug 1999 14:35:24 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2000 10:24:51 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Bojowald",
"Martin",
""
]
] |
Three different methods to quantize the spherically symmetric sector of electromagnetism are presented: First, it is shown that this sector is equivalent to Abelian BF-theory in four spacetime dimensions with suitable boundary conditions. This theory, in turn, is quantized by both a reduced phase space quantization and a spin network quantization. Finally, the outcome is compared with the results obtained in the recently proposed general quantum symmetry reduction scheme. In the magnetically uncharged sector, where all three approaches apply, they all lead to the same quantum theory.
| 9.269528
| 8.531559
| 7.601362
| 7.638649
| 8.523693
| 8.12733
| 7.949554
| 7.588412
| 8.017297
| 7.562239
| 8.232847
| 8.361987
| 7.593124
| 7.743343
| 8.224424
| 8.271699
| 8.527246
| 7.527878
| 7.990058
| 7.758839
| 8.24028
|
hep-th/9909126
|
Dirk Kreimer
|
Alain Connes and Dirk Kreimer
|
Renormalization in quantum field theory and the Riemann-Hilbert problem
|
8 pages, plain LaTeX
|
JHEP 9909 (1999) 024
|
10.1088/1126-6708/1999/09/024
|
IHES/M/99/75
|
hep-th hep-ph math-ph math.MP math.QA
| null |
We show that renormalization in quantum field theory is a special instance of
a general mathematical procedure of multiplicative extraction of finite values
based on the Riemann-Hilbert problem. Given a loop $\gamma(z), | z |=1$ of
elements of a complex Lie group G the general procedure is given by evaluation
of $ \gamma_{+}(z)$ at z=0 after performing the Birkhoff decomposition $
\gamma(z)=\gamma_{-}(z)^{-1} \gamma_{+}(z)$ where $ \gamma_{\pm}(z) \in G$ are
loops holomorphic in the inner and outer domains of the Riemann sphere (with
$\gamma_{-}(\infty)=1$). We show that, using dimensional regularization, the
bare data in quantum field theory delivers a loop (where z is now the deviation
from 4 of the complex dimension) of elements of the decorated Butcher group
(obtained using the Milnor-Moore theorem from the Kreimer Hopf algebra of
renormalization) and that the above general procedure delivers the renormalized
physical theory in the minimal substraction scheme.
|
[
{
"created": "Fri, 17 Sep 1999 20:05:43 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Sep 1999 10:10:15 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Sep 1999 11:22:09 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Connes",
"Alain",
""
],
[
"Kreimer",
"Dirk",
""
]
] |
We show that renormalization in quantum field theory is a special instance of a general mathematical procedure of multiplicative extraction of finite values based on the Riemann-Hilbert problem. Given a loop $\gamma(z), | z |=1$ of elements of a complex Lie group G the general procedure is given by evaluation of $ \gamma_{+}(z)$ at z=0 after performing the Birkhoff decomposition $ \gamma(z)=\gamma_{-}(z)^{-1} \gamma_{+}(z)$ where $ \gamma_{\pm}(z) \in G$ are loops holomorphic in the inner and outer domains of the Riemann sphere (with $\gamma_{-}(\infty)=1$). We show that, using dimensional regularization, the bare data in quantum field theory delivers a loop (where z is now the deviation from 4 of the complex dimension) of elements of the decorated Butcher group (obtained using the Milnor-Moore theorem from the Kreimer Hopf algebra of renormalization) and that the above general procedure delivers the renormalized physical theory in the minimal substraction scheme.
| 8.134986
| 10.522859
| 9.496279
| 8.444335
| 9.46702
| 9.41378
| 9.347
| 8.780807
| 8.971267
| 10.519181
| 8.578871
| 8.511192
| 8.907567
| 8.05203
| 8.276584
| 8.568255
| 8.447907
| 8.545903
| 8.372005
| 8.603086
| 8.320693
|
hep-th/0003028
|
Vitor Emanuel Rodino Lemes
|
D.G.G. Sasaki S.P.Sorella V.E.R.Lemes
|
Vector supersymmetry of Chern-Simons theory at finite temperature
|
Accepted in the Brazilian Journal of Physics. No figures
|
Braz.J.Phys. 30 (2000) 419-422
| null | null |
hep-th
| null |
The existence of the vector supersymmetry is analysed within the context of
the finite temperature Chern-Simons theory.
|
[
{
"created": "Fri, 3 Mar 2000 15:20:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lemes",
"D. G. G. Sasaki S. P. Sorella V. E. R.",
""
]
] |
The existence of the vector supersymmetry is analysed within the context of the finite temperature Chern-Simons theory.
| 17.479736
| 13.71441
| 14.253364
| 13.791616
| 11.812185
| 10.119894
| 12.180694
| 11.423417
| 11.500639
| 17.613605
| 10.963599
| 14.432953
| 17.242237
| 14.48157
| 14.119132
| 14.776019
| 14.562207
| 14.598485
| 14.437858
| 16.474094
| 14.10183
|
1309.4629
|
Yoshiki Sato
|
Yoshiki Sato and Kentaroh Yoshida
|
Universal aspects of holographic Schwinger effect in general backgrounds
|
17 pages, v2:accepted version
| null |
10.1007/JHEP12(2013)051
|
KUNS-2464
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider universal aspects of a holographic Schwinger effect in general
backgrounds with an external homogeneous electric field. The argument is based
on the potential analysis developed in our previous work. Under some
conditions, there always exists a critical electric field, above which the
potential barrier vanishes and the system becomes unstable catastrophically.
The critical value agrees with the one obtained from the Dirac-Born-Infeld
action. For general confining backgrounds, we show that the Schwinger effect
does not occur when the electric field is weaker than the confining string
tension.
|
[
{
"created": "Wed, 18 Sep 2013 12:47:57 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2014 06:46:19 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Sato",
"Yoshiki",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We consider universal aspects of a holographic Schwinger effect in general backgrounds with an external homogeneous electric field. The argument is based on the potential analysis developed in our previous work. Under some conditions, there always exists a critical electric field, above which the potential barrier vanishes and the system becomes unstable catastrophically. The critical value agrees with the one obtained from the Dirac-Born-Infeld action. For general confining backgrounds, we show that the Schwinger effect does not occur when the electric field is weaker than the confining string tension.
| 7.787904
| 5.481128
| 7.796731
| 6.35422
| 6.406797
| 5.61833
| 5.818812
| 5.948942
| 6.004716
| 8.158784
| 6.012677
| 6.528325
| 7.067152
| 6.578852
| 6.533113
| 6.354181
| 6.43545
| 6.730393
| 6.694343
| 7.468013
| 6.513443
|
2011.09897
|
Zoltan Bajnok
|
Michael C. Abbott, Zolt\'an Bajnok, J\'anos Balog, \'Arp\'ad
Heged\H{u}s
|
From perturbative to non-perturbative in the O(4) sigma model
|
5 pages, 3 figures. v2 adds some references, one more term d_3, v3:
some explanations are clarified, document is restructured, 11 pages now
| null |
10.1016/j.physletb.2021.136369
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the resurgent trans-series for the free energy of the
two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability,
we obtain very high-order perturbative data, from which we can explore
non-perturbative sectors. We are able to determine exactly the leading
real-valued exponentially small terms, which we check against the direct
numerical solution of the exact integral equation, and find complete agreement.
|
[
{
"created": "Thu, 19 Nov 2020 15:32:56 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 15:16:08 GMT",
"version": "v2"
},
{
"created": "Sun, 16 May 2021 09:05:06 GMT",
"version": "v3"
}
] |
2021-06-02
|
[
[
"Abbott",
"Michael C.",
""
],
[
"Bajnok",
"Zoltán",
""
],
[
"Balog",
"János",
""
],
[
"Hegedűs",
"Árpád",
""
]
] |
We study the resurgent trans-series for the free energy of the two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability, we obtain very high-order perturbative data, from which we can explore non-perturbative sectors. We are able to determine exactly the leading real-valued exponentially small terms, which we check against the direct numerical solution of the exact integral equation, and find complete agreement.
| 8.614141
| 7.561416
| 8.942647
| 7.819461
| 7.841085
| 7.777194
| 7.742551
| 7.868468
| 7.979282
| 10.361488
| 7.840571
| 7.627452
| 8.463901
| 7.899153
| 7.560646
| 7.485061
| 7.521351
| 7.79677
| 8.097847
| 8.756322
| 7.897408
|
1406.3584
|
Ho-Ung Yee
|
Ho-Ung Yee
|
Chiral Magnetic and Vortical Effects in Higher Dimensions at Weak
Coupling
|
43 pages, 5 figures
|
Phys. Rev. D 90, 065021 (2014)
|
10.1103/PhysRevD.90.065021
|
RBRC-1072
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chiral Magnetic Effect and Chiral Vortical Effect are parity odd transport
phenomena originating from chiral anomaly, and have generalizations to all even
dimensional space-time higher than four dimensions. We attempt to compute the
associated P-odd retarded response functions in the weak coupling limit of
chiral fermion theory in all even dimensions, using the diagrammatic technique
of real-time perturbation theory. We also clarify the necessary Kubo formula
relating the computed P-odd retarded correlation functions and the associated
anomalous transport coefficients. We speculate on the 8-fold classification of
topological phases.
|
[
{
"created": "Fri, 13 Jun 2014 16:28:06 GMT",
"version": "v1"
}
] |
2014-09-24
|
[
[
"Yee",
"Ho-Ung",
""
]
] |
Chiral Magnetic Effect and Chiral Vortical Effect are parity odd transport phenomena originating from chiral anomaly, and have generalizations to all even dimensional space-time higher than four dimensions. We attempt to compute the associated P-odd retarded response functions in the weak coupling limit of chiral fermion theory in all even dimensions, using the diagrammatic technique of real-time perturbation theory. We also clarify the necessary Kubo formula relating the computed P-odd retarded correlation functions and the associated anomalous transport coefficients. We speculate on the 8-fold classification of topological phases.
| 13.328629
| 12.53927
| 13.286049
| 11.40532
| 12.404911
| 12.486808
| 13.918549
| 12.021902
| 11.658512
| 13.537041
| 12.043615
| 11.843013
| 12.364617
| 11.869271
| 11.787303
| 11.81675
| 12.078848
| 11.834006
| 11.899175
| 12.573758
| 11.819875
|
1412.6087
|
Douglas Stanford
|
Stephen H. Shenker and Douglas Stanford
|
Stringy effects in scrambling
|
31 pages plus appendix, 9 figures v2: typos, references, added
comments, v3: references
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [1] we gave a precise holographic calculation of chaos at the scrambling
time scale. We studied the influence of a small perturbation, long in the past,
on a two-sided correlation function in the thermofield double state. A similar
analysis applies to squared commutators and other out-of-time-order one-sided
correlators [2-4]. The essential bulk physics is a high energy scattering
problem near the horizon of an AdS black hole. The above papers used Einstein
gravity to study this problem; in the present paper we consider stringy and
Planckian corrections. Elastic stringy corrections play an important role,
effectively weakening and smearing out the development of chaos. We discuss
their signature in the boundary field theory, commenting on the extension to
weak coupling. Inelastic effects, although important for the evolution of the
state, leave a parametrically small imprint on the correlators that we study.
We briefly discuss ways to diagnose these small corrections, and we propose
another correlator where inelastic effects are order one.
|
[
{
"created": "Thu, 18 Dec 2014 20:57:51 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 2015 18:51:29 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Mar 2015 13:46:26 GMT",
"version": "v3"
}
] |
2015-03-23
|
[
[
"Shenker",
"Stephen H.",
""
],
[
"Stanford",
"Douglas",
""
]
] |
In [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. A similar analysis applies to squared commutators and other out-of-time-order one-sided correlators [2-4]. The essential bulk physics is a high energy scattering problem near the horizon of an AdS black hole. The above papers used Einstein gravity to study this problem; in the present paper we consider stringy and Planckian corrections. Elastic stringy corrections play an important role, effectively weakening and smearing out the development of chaos. We discuss their signature in the boundary field theory, commenting on the extension to weak coupling. Inelastic effects, although important for the evolution of the state, leave a parametrically small imprint on the correlators that we study. We briefly discuss ways to diagnose these small corrections, and we propose another correlator where inelastic effects are order one.
| 13.226603
| 13.452301
| 14.767947
| 12.910406
| 14.106302
| 13.962807
| 13.100585
| 12.083185
| 12.27792
| 16.157331
| 13.634728
| 13.493918
| 13.865029
| 12.896769
| 13.206331
| 13.125734
| 13.134524
| 13.101466
| 12.650119
| 13.671084
| 12.54663
|
hep-th/9612089
|
Ivashchuk Vladimir Dmitrievich
|
V.D. Ivashchuk and V.N. Melnikov
|
Intersecting p-brane Solutions in Multidimensional Gravity and M-theory
|
9 pages, LaTex, subm. to Gravitation and Cosmology
|
Grav.Cosmol.2:297-305,1996
| null |
RGS-VNIIMS-004/96
|
hep-th gr-qc
| null |
Multidimensional gravitational model on the manifold $M = M_0 \times
\prod_{i=1}^{n} M_i$, where $M_i$ are Einstein spaces ($i \geq 1$), is
considered. The action contains $m = 2^n -1$ dilatonic scalar fields $\phi^I$
and $m$ (antisymmetric) forms $A^I$. When all fields and scale factors of the
metric depend (essentially) on the point of $M_0$ and any $A^I$ is
"proportional" to the volume form of submanifold $M_{i_1} \times ... \times
M_{i_k}$, $1 \leq i_1 < ... < i_k \leq n$, the sigma-model representation is
obtained. A family of "Majumdar-Papapetrou type" solutions are obtained, when
all $M_{\nu}$ are Ricci-flat. A special class of solutions (related to the
solution of some Diophantus equation on dimensions of $M_{\nu}$) is singled
out. Some examples of intersecting p-branes (e.g. solution with seven Euclidean
2-branes for D = 11 supergravity) are considered.}
|
[
{
"created": "Sat, 7 Dec 1996 09:36:00 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
]
] |
Multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where $M_i$ are Einstein spaces ($i \geq 1$), is considered. The action contains $m = 2^n -1$ dilatonic scalar fields $\phi^I$ and $m$ (antisymmetric) forms $A^I$. When all fields and scale factors of the metric depend (essentially) on the point of $M_0$ and any $A^I$ is "proportional" to the volume form of submanifold $M_{i_1} \times ... \times M_{i_k}$, $1 \leq i_1 < ... < i_k \leq n$, the sigma-model representation is obtained. A family of "Majumdar-Papapetrou type" solutions are obtained, when all $M_{\nu}$ are Ricci-flat. A special class of solutions (related to the solution of some Diophantus equation on dimensions of $M_{\nu}$) is singled out. Some examples of intersecting p-branes (e.g. solution with seven Euclidean 2-branes for D = 11 supergravity) are considered.}
| 6.634453
| 5.458337
| 5.50158
| 5.170699
| 5.927746
| 5.666171
| 6.009554
| 5.225076
| 5.594568
| 6.36256
| 5.788283
| 5.962198
| 5.978416
| 5.69193
| 6.157966
| 6.07769
| 6.244506
| 5.799176
| 5.945862
| 6.040503
| 6.189269
|
hep-th/0405055
|
Zarembo
|
Martin Lubcke and Konstantin Zarembo
|
Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
|
10 pages
|
JHEP 0405 (2004) 049
|
10.1088/1126-6708/2004/05/049
|
ITEP-TH-23/04, UUITP-12/04
|
hep-th
| null |
The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills
theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one
loop, the dimensions of large operators can be computed with the help of Bethe
ansatz and can be directly compared to the string energies. We study
finite-size corrections for Bethe states which should describe quantum
corrections to energies of extended semiclassical strings.
|
[
{
"created": "Fri, 7 May 2004 11:32:56 GMT",
"version": "v1"
},
{
"created": "Sat, 8 May 2004 11:54:15 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Lubcke",
"Martin",
""
],
[
"Zarembo",
"Konstantin",
""
]
] |
The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and can be directly compared to the string energies. We study finite-size corrections for Bethe states which should describe quantum corrections to energies of extended semiclassical strings.
| 7.266705
| 5.83945
| 9.043615
| 6.340422
| 6.299774
| 5.827919
| 6.720359
| 6.179087
| 5.857873
| 8.093696
| 6.372016
| 6.319779
| 8.212071
| 6.54045
| 6.246119
| 6.438882
| 6.173177
| 6.571739
| 6.60468
| 8.040123
| 6.261425
|
2404.18589
|
Yasha Neiman
|
Yasha Neiman
|
Higher-spin self-dual General Relativity: 6d and 4d pictures, covariant
vs. lightcone
|
26 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the higher-spin extension of self-dual General Relativity (GR) with
cosmological constant, proposed by Krasnov, Skvortsov and Tran. We show that
this theory is actually a gauge-fixing of a 6d diffeomorphism-invariant Abelian
theory, living on (4d spacetime)x(2d spinor space) modulo a finite group. On
the other hand, we point out that the theory respects the 4d geometry of a
self-dual GR solution, with no backreaction from the higher-spin fields. We
also present a lightcone ansatz that reduces the covariant fields to one scalar
field for each helicity. The field equations governing these scalars have only
cubic vertices. We compare our lightcone ansatz to Metsaev's lightcone
formalism. We conclude with a new perspective on the lightcone formalism in
(A)dS spacetime: not merely a complication of its Minkowski-space cousin, it
has a built-in Lorentz covariance, and is closely related to Vasiliev's concept
of unfolding.
|
[
{
"created": "Mon, 29 Apr 2024 10:59:41 GMT",
"version": "v1"
}
] |
2024-04-30
|
[
[
"Neiman",
"Yasha",
""
]
] |
We study the higher-spin extension of self-dual General Relativity (GR) with cosmological constant, proposed by Krasnov, Skvortsov and Tran. We show that this theory is actually a gauge-fixing of a 6d diffeomorphism-invariant Abelian theory, living on (4d spacetime)x(2d spinor space) modulo a finite group. On the other hand, we point out that the theory respects the 4d geometry of a self-dual GR solution, with no backreaction from the higher-spin fields. We also present a lightcone ansatz that reduces the covariant fields to one scalar field for each helicity. The field equations governing these scalars have only cubic vertices. We compare our lightcone ansatz to Metsaev's lightcone formalism. We conclude with a new perspective on the lightcone formalism in (A)dS spacetime: not merely a complication of its Minkowski-space cousin, it has a built-in Lorentz covariance, and is closely related to Vasiliev's concept of unfolding.
| 10.606888
| 11.199811
| 10.92835
| 10.541447
| 11.043167
| 10.680144
| 11.618637
| 10.232235
| 10.890697
| 11.958532
| 11.146312
| 10.519571
| 10.595911
| 10.336859
| 10.408255
| 10.140798
| 10.080503
| 10.28945
| 10.408785
| 11.020221
| 10.361311
|
1001.0858
|
Claudio Dappiaggi
|
Claudio Dappiaggi, Nicola Pinamonti, Martin Porrmann
|
Local causal structures, Hadamard states and the principle of local
covariance in quantum field theory
|
42 pages, xy package is used, typos corrected, clarifications added
|
Commun.Math.Phys.304:459-498,2011
|
10.1007/s00220-011-1235-8
|
Desy 10-001, ESI 2203, ZMP-HH/09-33
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the framework of the algebraic formulation, we discuss and analyse some
new features of the local structure of a real scalar quantum field theory in a
strongly causal spacetime. In particular we use the properties of the
exponential map to set up a local version of a bulk-to-boundary correspondence.
The bulk is a suitable subset of a geodesic neighbourhood of any but fixed
point p of the underlying background, while the boundary is a part of the
future light cone having p as its own tip. In this regime, we provide a novel
notion for the extended *-algebra of Wick polynomials on the said cone and, on
the one hand, we prove that it contains the information of the bulk counterpart
via an injective *-homomorphism while, on the other hand, we associate to it a
distinguished state whose pull-back in the bulk is of Hadamard form. The main
advantage of this point of view arises if one uses the universal properties of
the exponential map and of the light cone in order to show that, for any two
given backgrounds M and M' and for any two subsets of geodesic neighbourhoods
of two arbitrary points, it is possible to engineer the above procedure such
that the boundary extended algebras are related via a restriction homomorphism.
This allows for the pull-back of boundary states in both spacetimes and, thus,
to set up a machinery which permits the comparison of expectation values of
local field observables in M and M'.
|
[
{
"created": "Wed, 6 Jan 2010 11:07:03 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2011 15:56:55 GMT",
"version": "v2"
}
] |
2011-05-09
|
[
[
"Dappiaggi",
"Claudio",
""
],
[
"Pinamonti",
"Nicola",
""
],
[
"Porrmann",
"Martin",
""
]
] |
In the framework of the algebraic formulation, we discuss and analyse some new features of the local structure of a real scalar quantum field theory in a strongly causal spacetime. In particular we use the properties of the exponential map to set up a local version of a bulk-to-boundary correspondence. The bulk is a suitable subset of a geodesic neighbourhood of any but fixed point p of the underlying background, while the boundary is a part of the future light cone having p as its own tip. In this regime, we provide a novel notion for the extended *-algebra of Wick polynomials on the said cone and, on the one hand, we prove that it contains the information of the bulk counterpart via an injective *-homomorphism while, on the other hand, we associate to it a distinguished state whose pull-back in the bulk is of Hadamard form. The main advantage of this point of view arises if one uses the universal properties of the exponential map and of the light cone in order to show that, for any two given backgrounds M and M' and for any two subsets of geodesic neighbourhoods of two arbitrary points, it is possible to engineer the above procedure such that the boundary extended algebras are related via a restriction homomorphism. This allows for the pull-back of boundary states in both spacetimes and, thus, to set up a machinery which permits the comparison of expectation values of local field observables in M and M'.
| 10.374278
| 11.061283
| 10.490442
| 10.895608
| 11.434647
| 10.753448
| 10.648037
| 10.470795
| 10.80576
| 11.246396
| 11.093282
| 10.206931
| 9.65209
| 10.07269
| 10.223579
| 10.093492
| 10.090058
| 10.152364
| 10.226398
| 10.261296
| 10.065051
|
0707.2717
|
Bernard de Wit
|
Mathijs de Vroome and Bernard de Wit
|
Lagrangians with electric and magnetic charges of N=2 supersymmetric
gauge theories
|
34 pages, LaTex
|
JHEP 0708:064,2007
|
10.1088/1126-6708/2007/08/064
|
ITP-UU-07/35; SPIN-07/24
|
hep-th
| null |
General Lagrangians are constructed for N=2 supersymmetric gauge theories in
four space-time dimensions involving gauge groups with (non-abelian) electric
and magnetic charges. The charges induce a scalar potential, which, when the
charges are regarded as spurionic quantities, is invariant under
electric/magnetic duality. The resulting theories are especially relevant for
supergravity, but details of the extension to local supersymmetry will be
discussed elsewhere. The results include the coupling to hypermultiplets.
Without the latter, it is demonstrated how an off-shell representation can be
constructed based on vector and tensor supermultiplets.
|
[
{
"created": "Wed, 18 Jul 2007 12:53:22 GMT",
"version": "v1"
}
] |
2009-04-30
|
[
[
"de Vroome",
"Mathijs",
""
],
[
"de Wit",
"Bernard",
""
]
] |
General Lagrangians are constructed for N=2 supersymmetric gauge theories in four space-time dimensions involving gauge groups with (non-abelian) electric and magnetic charges. The charges induce a scalar potential, which, when the charges are regarded as spurionic quantities, is invariant under electric/magnetic duality. The resulting theories are especially relevant for supergravity, but details of the extension to local supersymmetry will be discussed elsewhere. The results include the coupling to hypermultiplets. Without the latter, it is demonstrated how an off-shell representation can be constructed based on vector and tensor supermultiplets.
| 11.529045
| 9.463441
| 11.221783
| 9.59006
| 9.671681
| 9.551103
| 9.287369
| 9.390041
| 8.961659
| 12.168171
| 9.936739
| 9.754992
| 9.899569
| 9.84271
| 9.750464
| 9.907795
| 9.86477
| 9.906333
| 9.523601
| 10.47447
| 9.958088
|
1004.2552
|
Yun Soo Myung
|
Yun Soo Myung
|
Massive graviton propagation of the deformed Ho\v{r}ava-Lifshitz gravity
without projectability condition
|
21 pages, no figure, version to appear in PLB
|
Phys.Lett.B690:526-533,2010
|
10.1016/j.physletb.2010.06.001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study graviton propagations of scalar, vector, and tensor modes in the
deformed Ho\v{r}ava-Lifshitz gravity ($\lambda R$-model) without projectability
condition. The quadratic Lagrangian is invariant under diffeomorphism only for
$\lambda=1$ case, which contradicts to the fact that $\lambda$ is irrelevant to
a consistent Hamiltonian approach to the $\lambda R$ model. In this case, as
far as scalar propagations are concerned, there is no essential difference
between deformed Ho\v{r}ava-Lifshitz gravity ($\lambda R$-model) and general
relativity. This implies that there are two degrees of freedom for a massless
graviton without Ho\v{r}ava scalar, and five degrees of freedom appear for a
massive graviton when introducing Lorentz-violating and Fierz-Pauli mass terms.
Finally, it is shown that for $\lambda=1$, the vDVZ discontinuity is absent in
the massless limit of Lorentz-violating mass terms by considering external
source terms.
|
[
{
"created": "Thu, 15 Apr 2010 05:16:50 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2010 23:23:24 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Myung",
"Yun Soo",
""
]
] |
We study graviton propagations of scalar, vector, and tensor modes in the deformed Ho\v{r}ava-Lifshitz gravity ($\lambda R$-model) without projectability condition. The quadratic Lagrangian is invariant under diffeomorphism only for $\lambda=1$ case, which contradicts to the fact that $\lambda$ is irrelevant to a consistent Hamiltonian approach to the $\lambda R$ model. In this case, as far as scalar propagations are concerned, there is no essential difference between deformed Ho\v{r}ava-Lifshitz gravity ($\lambda R$-model) and general relativity. This implies that there are two degrees of freedom for a massless graviton without Ho\v{r}ava scalar, and five degrees of freedom appear for a massive graviton when introducing Lorentz-violating and Fierz-Pauli mass terms. Finally, it is shown that for $\lambda=1$, the vDVZ discontinuity is absent in the massless limit of Lorentz-violating mass terms by considering external source terms.
| 6.690495
| 6.524881
| 6.547182
| 6.505672
| 6.779574
| 6.825241
| 6.504791
| 6.118048
| 6.395148
| 7.175273
| 6.517426
| 6.227544
| 6.462589
| 6.353946
| 6.503975
| 6.391594
| 6.212841
| 6.342447
| 6.40628
| 6.52368
| 6.303889
|
hep-th/0601120
|
Hiroaki Kohyama
|
H. Kohyama and A. Niegawa
|
Quantum Field Theories in Nonextensive Tsallis Statistics
|
16 pages, no figures
|
Prog.Theor.Phys.115:73-88,2006
|
10.1143/PTP.115.73
| null |
hep-th cond-mat.stat-mech hep-ph
| null |
Within the framework of Tsallis statistics with q ~ 1, we construct a
perturbation theory for treating relativistic quantum field systems. We find
that there appear initial correlations, which do not exist in the
Boltzmann-Gibbs statistics. Applying this framework to a quark-gluon plasma, we
find that the so-called thermal masses of quarks and gluons are smaller than in
the case of Boltzmann-Gibbs statistics.
|
[
{
"created": "Wed, 18 Jan 2006 08:49:31 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kohyama",
"H.",
""
],
[
"Niegawa",
"A.",
""
]
] |
Within the framework of Tsallis statistics with q ~ 1, we construct a perturbation theory for treating relativistic quantum field systems. We find that there appear initial correlations, which do not exist in the Boltzmann-Gibbs statistics. Applying this framework to a quark-gluon plasma, we find that the so-called thermal masses of quarks and gluons are smaller than in the case of Boltzmann-Gibbs statistics.
| 7.709748
| 7.237718
| 6.547
| 6.198863
| 6.5362
| 7.070737
| 7.92867
| 6.956023
| 7.268021
| 6.333821
| 7.200768
| 6.763295
| 6.33908
| 6.298117
| 6.495317
| 6.730489
| 6.415051
| 6.759004
| 6.445222
| 6.666621
| 6.720562
|
1511.05143
|
William East
|
William E. East, Matthew Kleban, Andrei Linde, and Leonardo Senatore
|
Beginning inflation in an inhomogeneous universe
|
14 pages, 6 figures; version accepted by JCAP
|
JCAP09(2016)010
|
10.1088/1475-7516/2016/09/010
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using numerical solutions of the full Einstein field equations coupled to a
scalar inflaton field in 3+1 dimensions, we study the conditions under which a
universe that is initially expanding, highly inhomogeneous and dominated by
gradient energy can transition to an inflationary period. If the initial scalar
field variations are contained within a sufficiently flat region of the
inflaton potential, and the universe is spatially flat or open on average,
inflation will occur following the dilution of the gradient and kinetic energy
due to expansion. This is the case even when the scale of the inhomogeneities
is comparable to the initial Hubble length, and overdense regions collapse and
form black holes, because underdense regions continue expanding, allowing
inflation to eventually begin. This establishes that inflation can arise from
highly inhomogeneous initial conditions and solve the horizon and flatness
problems, at least as long as the variations in the scalar field do not include
values that exceed the inflationary plateau.
|
[
{
"created": "Mon, 16 Nov 2015 21:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2016 19:42:01 GMT",
"version": "v2"
}
] |
2016-09-07
|
[
[
"East",
"William E.",
""
],
[
"Kleban",
"Matthew",
""
],
[
"Linde",
"Andrei",
""
],
[
"Senatore",
"Leonardo",
""
]
] |
Using numerical solutions of the full Einstein field equations coupled to a scalar inflaton field in 3+1 dimensions, we study the conditions under which a universe that is initially expanding, highly inhomogeneous and dominated by gradient energy can transition to an inflationary period. If the initial scalar field variations are contained within a sufficiently flat region of the inflaton potential, and the universe is spatially flat or open on average, inflation will occur following the dilution of the gradient and kinetic energy due to expansion. This is the case even when the scale of the inhomogeneities is comparable to the initial Hubble length, and overdense regions collapse and form black holes, because underdense regions continue expanding, allowing inflation to eventually begin. This establishes that inflation can arise from highly inhomogeneous initial conditions and solve the horizon and flatness problems, at least as long as the variations in the scalar field do not include values that exceed the inflationary plateau.
| 7.345429
| 8.079145
| 6.680202
| 7.248831
| 7.26222
| 8.247492
| 8.315168
| 7.422441
| 7.380714
| 7.45968
| 8.006197
| 7.447894
| 7.259085
| 7.163432
| 6.793968
| 7.065085
| 6.993566
| 7.04478
| 7.068778
| 7.15947
| 7.202983
|
0905.1838
|
Tao Zhu
|
Tao Zhu, Ji-Rong Ren, and Ming-Fan Li
|
Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling
Method
|
25 pages, no figure, and comments are welcome; v2:27 pages, more
references added and typoes corrected, accepted for publication in JCAP
|
JCAP 0908:010,2009
|
10.1088/1475-7516/2009/08/010
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the thermodynamic quantities of
Friedmann-Robertson-Walker (FRW) universe by using the tunneling formalism
beyond semiclassical approximation developed by \emph{Banerjee} and
\emph{Majhi}\cite{beyond0}. For this we first calculate the corrected
Hawking-like temperature on apparent horizon by considering both scalar
particle and fermion tunneling. With this corrected Hawking-like temperature,
the explicit expressions of the corrected entropy of apparent horizon for
various gravity theories including Einstein gravity, Gauss-Bonnet gravity,
Lovelock gravity, $f(R)$ gravity and scalar-tensor gravity, are computed. Our
results show that the corrected entropy formula for different gravity theories
can be written into a general expression (\ref{entropy-final}) of a same form.
It is also shown that this expression is also valid for black holes. This might
imply that the expression for the corrected entropy derived from tunneling
method is independent of gravity theory, spacetime and dimension of the
spacetime. Moreover, it is concluded that the basic thermodynamical property
that the corrected entropy on apparent horizon is a state function is satisfied
by the FRW universe.
|
[
{
"created": "Tue, 12 May 2009 13:15:06 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2009 11:39:34 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Aug 2009 05:53:03 GMT",
"version": "v3"
}
] |
2009-08-14
|
[
[
"Zhu",
"Tao",
""
],
[
"Ren",
"Ji-Rong",
""
],
[
"Li",
"Ming-Fan",
""
]
] |
In this paper, we study the thermodynamic quantities of Friedmann-Robertson-Walker (FRW) universe by using the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. For this we first calculate the corrected Hawking-like temperature on apparent horizon by considering both scalar particle and fermion tunneling. With this corrected Hawking-like temperature, the explicit expressions of the corrected entropy of apparent horizon for various gravity theories including Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, $f(R)$ gravity and scalar-tensor gravity, are computed. Our results show that the corrected entropy formula for different gravity theories can be written into a general expression (\ref{entropy-final}) of a same form. It is also shown that this expression is also valid for black holes. This might imply that the expression for the corrected entropy derived from tunneling method is independent of gravity theory, spacetime and dimension of the spacetime. Moreover, it is concluded that the basic thermodynamical property that the corrected entropy on apparent horizon is a state function is satisfied by the FRW universe.
| 6.928538
| 6.963489
| 6.998211
| 6.230538
| 7.424353
| 7.171268
| 7.29222
| 6.438082
| 6.41379
| 7.098376
| 6.101802
| 6.725426
| 6.700174
| 6.50209
| 6.498112
| 6.74477
| 6.477282
| 6.311394
| 6.505999
| 6.569096
| 6.426885
|
hep-th/0612019
|
Nikita A. Nekrasov
|
Andrei Marshakov, Nikita Nekrasov
|
Extended Seiberg-Witten Theory and Integrable Hierarchy
|
49 pages
|
JHEP 0701:104,2007
|
10.1088/1126-6708/2007/01/104
|
FIAN/TD-10/06, ITEP-TH-57-05, IHES-P/06/43
|
hep-th math-ph math.MP nlin.SI
| null |
The prepotential of the effective N=2 super-Yang-Mills theory perturbed in
the ultraviolet by the descendents of the single-trace chiral operators is
shown to be a particular tau-function of the quasiclassical Toda hierarchy. In
the case of noncommutative U(1) theory (or U(N) theory with 2N-2 fundamental
hypermultiplets at the appropriate locus of the moduli space of vacua) or a
theory on a single fractional D3 brane at the ADE singularity the hierarchy is
the dispersionless Toda chain. We present its explicit solutions. Our results
generalize the limit shape analysis of Logan-Schepp and Vershik-Kerov, support
the prior work hep-th/0302191 which established the equivalence of these N=2
theories with the topological A string on CP^1 and clarify the origin of the
Eguchi-Yang matrix integral. In the higher rank case we find an appropriate
variant of the quasiclassical tau-function, show how the Seiberg-Witten curve
is deformed by Toda flows, and fix the contact term ambiguity.
|
[
{
"created": "Sun, 3 Dec 2006 00:33:37 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2006 06:10:07 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Marshakov",
"Andrei",
""
],
[
"Nekrasov",
"Nikita",
""
]
] |
The prepotential of the effective N=2 super-Yang-Mills theory perturbed in the ultraviolet by the descendents of the single-trace chiral operators is shown to be a particular tau-function of the quasiclassical Toda hierarchy. In the case of noncommutative U(1) theory (or U(N) theory with 2N-2 fundamental hypermultiplets at the appropriate locus of the moduli space of vacua) or a theory on a single fractional D3 brane at the ADE singularity the hierarchy is the dispersionless Toda chain. We present its explicit solutions. Our results generalize the limit shape analysis of Logan-Schepp and Vershik-Kerov, support the prior work hep-th/0302191 which established the equivalence of these N=2 theories with the topological A string on CP^1 and clarify the origin of the Eguchi-Yang matrix integral. In the higher rank case we find an appropriate variant of the quasiclassical tau-function, show how the Seiberg-Witten curve is deformed by Toda flows, and fix the contact term ambiguity.
| 10.483067
| 11.426104
| 14.447368
| 10.379829
| 12.220073
| 10.739185
| 10.363653
| 11.180855
| 10.482807
| 15.04286
| 10.472148
| 10.627398
| 11.472115
| 10.247979
| 10.305973
| 10.221481
| 10.635465
| 10.160122
| 10.127526
| 11.840901
| 10.364033
|
hep-th/0409272
|
Oleksandr Pavlyk
|
M. Gunaydin and O. Pavlyk
|
Minimal Unitary Realizations of Exceptional U-duality Groups and Their
Subgroups as Quasiconformal Groups
|
28 pages. Latex commands removed from the abstract for the arXiv. No
changes in the manuscript
|
JHEP 0501:019,2005
|
10.1088/1126-6708/2005/01/019
| null |
hep-th
| null |
We study the minimal unitary representations of noncompact exceptional groups
that arise as U-duality groups in extended supergravity theories. First we give
the unitary realizations of the exceptional group E_{8(-24)} in SU*(8) as well
as SU(6,2) covariant bases. E_{8(-24)} has E_7 X SU(2) as its maximal compact
subgroup and is the U-duality group of the exceptional supergravity theory in
d=3. For the corresponding U-duality group E_{8(8)} of the maximal supergravity
theory the minimal realization was given in hep-th/0109005. The minimal unitary
realizations of all the lower rank noncompact exceptional groups can be
obtained by truncation of those of E_{8(-24)} and E_{8(8)}. By further
truncation one can obtain the minimal unitary realizations of all the groups of
the "Magic Triangle". We give explicitly the minimal unitary realizations of
the exceptional subgroups of E_{8(-24)} as well as other physically interesting
subgroups. These minimal unitary realizations correspond, in general, to the
quantization of their geometric actions as quasi-conformal groups as defined in
hep-th/0008063.
|
[
{
"created": "Sun, 26 Sep 2004 18:54:17 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Sep 2004 17:45:18 GMT",
"version": "v2"
}
] |
2011-02-09
|
[
[
"Gunaydin",
"M.",
""
],
[
"Pavlyk",
"O.",
""
]
] |
We study the minimal unitary representations of noncompact exceptional groups that arise as U-duality groups in extended supergravity theories. First we give the unitary realizations of the exceptional group E_{8(-24)} in SU*(8) as well as SU(6,2) covariant bases. E_{8(-24)} has E_7 X SU(2) as its maximal compact subgroup and is the U-duality group of the exceptional supergravity theory in d=3. For the corresponding U-duality group E_{8(8)} of the maximal supergravity theory the minimal realization was given in hep-th/0109005. The minimal unitary realizations of all the lower rank noncompact exceptional groups can be obtained by truncation of those of E_{8(-24)} and E_{8(8)}. By further truncation one can obtain the minimal unitary realizations of all the groups of the "Magic Triangle". We give explicitly the minimal unitary realizations of the exceptional subgroups of E_{8(-24)} as well as other physically interesting subgroups. These minimal unitary realizations correspond, in general, to the quantization of their geometric actions as quasi-conformal groups as defined in hep-th/0008063.
| 5.498977
| 5.9003
| 6.3287
| 5.692131
| 5.797042
| 5.884335
| 5.801746
| 5.671152
| 5.622287
| 7.588607
| 5.521598
| 5.671872
| 5.873986
| 5.650621
| 5.710515
| 5.518918
| 5.670632
| 5.573585
| 5.844429
| 5.948732
| 5.501922
|
1106.1795
|
Adel Rezaei-Aghdam
|
B. Mojaveri and A. Rezaei-Aghdam
|
4+1 dimensional homogeneous anisotropic string cosmological models
|
31, 1 table; section 5 is added
|
Inter. Jour. Mod. Phys. A. vol. 27, No. 7 (2012) 1250032
|
10.1142/S0217751X12500327
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present exact solutions of string cosmological models characterized by
five dimensional metrics (with four-dimensional real Lie groups as isometry
groups), space independent dilaton and vanishing torsion. As an example we
consider VII 0 \oplus R model and show that it is equivalent to the (4
+1)-dimensional cosmological model coupled to perfect fluid with negative
deceleration parameters (accelerating universe).
|
[
{
"created": "Thu, 9 Jun 2011 12:59:43 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2012 07:08:49 GMT",
"version": "v2"
}
] |
2012-03-27
|
[
[
"Mojaveri",
"B.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
We present exact solutions of string cosmological models characterized by five dimensional metrics (with four-dimensional real Lie groups as isometry groups), space independent dilaton and vanishing torsion. As an example we consider VII 0 \oplus R model and show that it is equivalent to the (4 +1)-dimensional cosmological model coupled to perfect fluid with negative deceleration parameters (accelerating universe).
| 20.381094
| 15.801467
| 19.920963
| 16.073959
| 16.623716
| 17.929548
| 17.972355
| 15.895761
| 16.298777
| 17.914139
| 15.300807
| 17.203728
| 17.743816
| 16.87171
| 17.194401
| 17.508841
| 16.635487
| 16.158546
| 16.704508
| 17.047882
| 16.562637
|
1304.7798
|
Edward Witten
|
Ron Donagi and Edward Witten
|
Supermoduli Space Is Not Projected
|
57 pp
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that for genus greater than or equal to 5, the moduli space of super
Riemann surfaces is not projected (and in particular is not split): it cannot
be holomorphically projected to its underlying reduced manifold. Physically,
this means that certain approaches to superstring perturbation theory that are
very powerful in low orders have no close analog in higher orders.
Mathematically, it means that the moduli space of super Riemann surfaces cannot
be constructed in an elementary way starting with the moduli space of ordinary
Riemann surfaces. It has a life of its own.
|
[
{
"created": "Mon, 29 Apr 2013 20:48:46 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 2023 19:20:10 GMT",
"version": "v2"
}
] |
2023-07-21
|
[
[
"Donagi",
"Ron",
""
],
[
"Witten",
"Edward",
""
]
] |
We prove that for genus greater than or equal to 5, the moduli space of super Riemann surfaces is not projected (and in particular is not split): it cannot be holomorphically projected to its underlying reduced manifold. Physically, this means that certain approaches to superstring perturbation theory that are very powerful in low orders have no close analog in higher orders. Mathematically, it means that the moduli space of super Riemann surfaces cannot be constructed in an elementary way starting with the moduli space of ordinary Riemann surfaces. It has a life of its own.
| 6.963797
| 7.175872
| 8.43705
| 7.80062
| 7.63732
| 8.604371
| 7.698866
| 7.410201
| 7.515187
| 8.668161
| 7.096168
| 7.26952
| 7.977603
| 7.290888
| 7.072968
| 7.1286
| 7.072456
| 7.346317
| 7.10475
| 7.827845
| 7.068858
|
1204.6627
|
Yang Zhou
|
Yoshinori Matsuo, Sang-Jin Sin, Yang Zhou
|
Holographic RG Flow and Sound Modes of sQGP
|
18 pages, 4 figures
|
JHEP 1207:050,2012
|
10.1007/JHEP07(2012)050
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the hydrodynamics of strongly interacting quark gluon plasma in
finite temperature and density using the holographic duality of charged black
hole in anti DeSitter space. We calculate the transport coefficients at
arbitrary energy scale by considering the holographic screen at finite radial
position. We first calculate the flow of sound velocity in this method and
check the consistence with previous result. Then we calculate diffusion
constant of charge and find that Einstein relation between susceptibility,
conductivity and diffusion constant will hold at arbitrary slice.
|
[
{
"created": "Mon, 30 Apr 2012 13:29:53 GMT",
"version": "v1"
}
] |
2012-07-11
|
[
[
"Matsuo",
"Yoshinori",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Zhou",
"Yang",
""
]
] |
We consider the hydrodynamics of strongly interacting quark gluon plasma in finite temperature and density using the holographic duality of charged black hole in anti DeSitter space. We calculate the transport coefficients at arbitrary energy scale by considering the holographic screen at finite radial position. We first calculate the flow of sound velocity in this method and check the consistence with previous result. Then we calculate diffusion constant of charge and find that Einstein relation between susceptibility, conductivity and diffusion constant will hold at arbitrary slice.
| 14.029268
| 12.874105
| 15.068102
| 12.731787
| 13.355675
| 12.682104
| 13.079634
| 13.39105
| 13.302451
| 16.505861
| 12.671862
| 12.541208
| 14.582685
| 13.189481
| 12.604175
| 12.153391
| 12.320412
| 13.165242
| 13.138383
| 14.520168
| 13.130428
|
0912.2950
|
Senarath P. de Alwis
|
S.P. de Alwis
|
Classical and Quantum SUSY Breaking Effects in IIB Local Models
|
Added comments and reference. Typos corrected. Version to be
published in JHEP. 16 pages
|
JHEP 1003:078,2010
|
10.1007/JHEP03(2010)078
|
COLO-HEP-549
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the calculation of soft supersymmetry breaking terms in type IIB
string theoretic models in the Large Volume Scenario (LVS). The suppression of
FCNC gives a lower bound on the size of the compactification volume. This leads
to soft terms which are strongly suppressed relative to the gravitino mass so
that the dominant contribution to the gaugino masses comes from the Weyl
anomaly. The other soft terms are essentially generated by the renormalization
group running from the string scale to the TeV scale.
|
[
{
"created": "Tue, 15 Dec 2009 16:54:48 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Mar 2010 20:01:33 GMT",
"version": "v2"
}
] |
2010-04-21
|
[
[
"de Alwis",
"S. P.",
""
]
] |
We discuss the calculation of soft supersymmetry breaking terms in type IIB string theoretic models in the Large Volume Scenario (LVS). The suppression of FCNC gives a lower bound on the size of the compactification volume. This leads to soft terms which are strongly suppressed relative to the gravitino mass so that the dominant contribution to the gaugino masses comes from the Weyl anomaly. The other soft terms are essentially generated by the renormalization group running from the string scale to the TeV scale.
| 6.350301
| 6.190469
| 5.871618
| 5.532962
| 6.205142
| 6.507811
| 6.327759
| 6.049621
| 6.170673
| 5.709801
| 5.808413
| 6.166424
| 5.880311
| 5.953679
| 5.943623
| 6.08925
| 5.978926
| 6.070947
| 5.937503
| 5.83638
| 6.039674
|
hep-th/0011057
|
Radu Tatar
|
Radu Tatar
|
T-duality and Actions for Non-Commutative D-Branes
|
Latex, 11 pages
|
Phys.Lett. B523 (2001) 185-190
|
10.1016/S0370-2693(01)01302-8
|
HU-EP-00/51
|
hep-th
| null |
We show how the T-duality is realized for D-branes with noncommutative
world-volume coordinates. We discuss D-branes wrapped on tori and the result is
that the recently found noncommutative actions form a consistent collection due
to the T-duality mapping between noncommutative D-branes and rotated
commutative D-branes on deformed tori.
|
[
{
"created": "Wed, 8 Nov 2000 21:06:39 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Tatar",
"Radu",
""
]
] |
We show how the T-duality is realized for D-branes with noncommutative world-volume coordinates. We discuss D-branes wrapped on tori and the result is that the recently found noncommutative actions form a consistent collection due to the T-duality mapping between noncommutative D-branes and rotated commutative D-branes on deformed tori.
| 9.932251
| 9.174158
| 9.950971
| 8.728831
| 9.207622
| 9.446482
| 9.380471
| 9.466485
| 9.943791
| 9.728305
| 9.115783
| 9.28803
| 10.18393
| 9.004676
| 8.959007
| 9.357261
| 9.250666
| 8.743246
| 9.297574
| 10.15528
| 8.956926
|
1806.07647
|
Miguel Vazquez-Mozo
|
Juan L. Ma\~nes, Eugenio Megias, Manuel Valle, Miguel A. Vazquez-Mozo
|
Non-Abelian Anomalous (Super)Fluids in Thermal Equilibrium from
Differential Geometry
|
46 pages, LaTeX. v2: new subsection 5.3 included, discussion
expanded, typos removed, and references added. It matches the version
published in Journal of High Energy Physics
|
JHEP 1811 (2018) 076
|
10.1007/JHEP11(2018)076
| null |
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply differential geometry methods to the computation of the
anomaly-induced hydrodynamic equilibrium partition function. Implementing the
imaginary-time prescription on the Chern-Simons effective action on a
stationary background, we obtain general closed expressions for both the
invariant and anomalous part of the partition function. This is applied to the
Wess-Zumino-Witten action for Goldstone modes, giving the equilibrium partition
function of superfluids. In all cases, we also study the anomaly-induced gauge
currents and energy-momentum tensor, providing explicit expressions for them.
|
[
{
"created": "Wed, 20 Jun 2018 10:05:27 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2018 13:31:25 GMT",
"version": "v2"
}
] |
2018-11-14
|
[
[
"Mañes",
"Juan L.",
""
],
[
"Megias",
"Eugenio",
""
],
[
"Valle",
"Manuel",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] |
We apply differential geometry methods to the computation of the anomaly-induced hydrodynamic equilibrium partition function. Implementing the imaginary-time prescription on the Chern-Simons effective action on a stationary background, we obtain general closed expressions for both the invariant and anomalous part of the partition function. This is applied to the Wess-Zumino-Witten action for Goldstone modes, giving the equilibrium partition function of superfluids. In all cases, we also study the anomaly-induced gauge currents and energy-momentum tensor, providing explicit expressions for them.
| 13.78515
| 12.29973
| 14.972466
| 11.503407
| 12.555442
| 12.684877
| 11.465848
| 11.31414
| 11.770097
| 15.077888
| 11.622788
| 11.623609
| 13.452763
| 11.913795
| 12.595808
| 12.341021
| 12.325253
| 11.936613
| 12.379517
| 13.903581
| 11.654535
|
2208.04662
|
Saskia Demulder
|
Saskia Demulder, Thomas Raml
|
Poisson-Lie T-duality defects and target space fusion
|
33 pages, 1 figure
| null |
10.1007/JHEP11(2022)165
|
MPP-2022-100
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Topological defects have long been known to encode symmetries and dualities
between physical systems. In the context of string theory, defects have been
intensively studied at the level of the worldsheet. Although marked by a number
of pioneering milestones, the target space picture of defects is much less
understood. In this paper, we show, at the level of the target space, that
Poisson-Lie T-duality can be encoded as a topological defect. With this result
at hand, we can postulate the kernel capturing the Fourier-Mukai transform
associated to the action of Poisson-Lie T-duality on the RR-sector. Topological
defects have the remarkable property that they can be fused together or,
alternatively, with worldsheet boundary conditions. We study how fusion of the
proposed generalised T-duality topological defect consistently leads to the
known duality transformations for boundary conditions. Finally, taking a step
back from generalised T-duality, we tackle the general problem of understanding
the effect of fusion at the level of the target space. We propose to use the
framework of Dirac geometry and formulate the fusion of topological defects and
D-branes in this language.
|
[
{
"created": "Tue, 9 Aug 2022 11:07:03 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2022 11:28:46 GMT",
"version": "v2"
}
] |
2022-12-14
|
[
[
"Demulder",
"Saskia",
""
],
[
"Raml",
"Thomas",
""
]
] |
Topological defects have long been known to encode symmetries and dualities between physical systems. In the context of string theory, defects have been intensively studied at the level of the worldsheet. Although marked by a number of pioneering milestones, the target space picture of defects is much less understood. In this paper, we show, at the level of the target space, that Poisson-Lie T-duality can be encoded as a topological defect. With this result at hand, we can postulate the kernel capturing the Fourier-Mukai transform associated to the action of Poisson-Lie T-duality on the RR-sector. Topological defects have the remarkable property that they can be fused together or, alternatively, with worldsheet boundary conditions. We study how fusion of the proposed generalised T-duality topological defect consistently leads to the known duality transformations for boundary conditions. Finally, taking a step back from generalised T-duality, we tackle the general problem of understanding the effect of fusion at the level of the target space. We propose to use the framework of Dirac geometry and formulate the fusion of topological defects and D-branes in this language.
| 8.976184
| 9.322674
| 10.344522
| 9.229061
| 9.288772
| 9.719234
| 9.281888
| 9.006155
| 8.663559
| 10.906189
| 8.665538
| 8.678527
| 9.486184
| 8.855453
| 8.725159
| 8.804567
| 8.736185
| 8.647358
| 8.931275
| 9.51519
| 8.738672
|
1805.07506
|
Teng Fei
|
Teng Fei, Bin Guo, and Duong H. Phong
|
A Geometric Construction of Solutions to 11D Supergravity
|
30 pages, comments welcome!
|
Communications in Mathematical Physics 369(2), 811-836 (2019)
|
10.1007/s00220-019-03322-w
| null |
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Necessary and sufficient conditions are provided for a class of warped
product manifolds with non-vanishing flux to be supersymmetric solutions of 11D
supergravity. Many noncompact, but complete solutions can be obtained in this
manner, including the multi-membrane solution initially found by Duff and
Stelle. In a different direction, an explicit 5-parameter moduli space of
solutions to 11D supergravity is also constructed which can be viewed as
nonsupersymmetric deformations of the Duff-Stelle solution.
|
[
{
"created": "Sat, 19 May 2018 03:34:42 GMT",
"version": "v1"
}
] |
2020-11-10
|
[
[
"Fei",
"Teng",
""
],
[
"Guo",
"Bin",
""
],
[
"Phong",
"Duong H.",
""
]
] |
Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many noncompact, but complete solutions can be obtained in this manner, including the multi-membrane solution initially found by Duff and Stelle. In a different direction, an explicit 5-parameter moduli space of solutions to 11D supergravity is also constructed which can be viewed as nonsupersymmetric deformations of the Duff-Stelle solution.
| 8.326159
| 7.516405
| 8.724292
| 7.412997
| 7.85216
| 7.35806
| 7.381344
| 7.691113
| 7.452231
| 9.553452
| 6.982355
| 6.829619
| 7.306452
| 7.045318
| 7.467354
| 7.062058
| 7.331263
| 7.070833
| 7.054682
| 7.4992
| 7.164212
|
0808.3919
|
Elcio Abdalla
|
Elcio Abdalla and Antonio Lima Santos
|
Integrable models: from dynamical solutions to string theory
|
24 pages, to appear in Brazilian Journal of Physics
| null |
10.1007/s13538-012-0077-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the status of integrable models from the point of view of their
dynamics and integrability conditions. Some integrable models are discussed in
detail. We comment on the use it is made of them in string theory. We also
discuss the Bethe Ansatz solution of the SO(6) symmetric Hamiltonian with SO(6)
boundary.
This work is especially prepared for the seventieth anniversaries of
Andr\'{e} Swieca (in memoriam) and Roland K\"{o}berle.
|
[
{
"created": "Thu, 28 Aug 2008 14:17:59 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 2008 16:51:37 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Abdalla",
"Elcio",
""
],
[
"Santos",
"Antonio Lima",
""
]
] |
We review the status of integrable models from the point of view of their dynamics and integrability conditions. Some integrable models are discussed in detail. We comment on the use it is made of them in string theory. We also discuss the Bethe Ansatz solution of the SO(6) symmetric Hamiltonian with SO(6) boundary. This work is especially prepared for the seventieth anniversaries of Andr\'{e} Swieca (in memoriam) and Roland K\"{o}berle.
| 12.283668
| 10.986197
| 12.809687
| 10.02732
| 11.629563
| 12.403852
| 12.822747
| 11.137718
| 10.990406
| 14.511616
| 9.718994
| 10.543143
| 11.727365
| 10.965447
| 11.011621
| 11.355366
| 10.828886
| 10.32805
| 10.549278
| 11.640167
| 10.460545
|
1402.3342
|
Maximiliano Isi
|
Maximiliano Isi, Jonas Mureika and Piero Nicolini
|
Self-Completeness in Alternative Theories of Gravity
|
6 pages. Contribution to the Proceedings of the Karl Schwarzschild
Meeting (Frankfurt, July 22-26, 2013)
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been shown via an equivalence of gravitational radius and
Compton wavelength in four dimensions that the trans-Planckian regime of
gravity may by semi-classical, and that this point is defined by a minimum
horizon radius commensurate with the Planck mass. We extend the formalism to
gravity in the context of Randall-Sundrum and the generalized uncertainty
principle.
|
[
{
"created": "Fri, 14 Feb 2014 01:21:37 GMT",
"version": "v1"
}
] |
2014-02-17
|
[
[
"Isi",
"Maximiliano",
""
],
[
"Mureika",
"Jonas",
""
],
[
"Nicolini",
"Piero",
""
]
] |
It has recently been shown via an equivalence of gravitational radius and Compton wavelength in four dimensions that the trans-Planckian regime of gravity may by semi-classical, and that this point is defined by a minimum horizon radius commensurate with the Planck mass. We extend the formalism to gravity in the context of Randall-Sundrum and the generalized uncertainty principle.
| 18.843126
| 16.21981
| 16.758587
| 15.977148
| 15.688138
| 14.720396
| 17.623419
| 15.130549
| 15.327263
| 18.143909
| 15.981658
| 15.831544
| 15.473931
| 15.446574
| 16.179808
| 16.204071
| 15.973895
| 15.321629
| 15.456306
| 16.580706
| 15.305169
|
1604.00324
|
Arnab Rudra
|
Michael B. Green, Arnab Rudra
|
Type I/heterotic duality and M-theory amplitudes
|
Typos corrected. Subsection 8.2 added. Section 8 modified. Version to
appear in JHEP
| null |
10.1007/JHEP12(2016)060
|
DAMTP-2016-22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper investigates relationships between low-energy four-particle
scattering amplitudes with external gauge particles and gravitons in the E_8 X
E_8 and SO(32) heterotic string theories and the type I and type IA superstring
theories by considering a variety of tree level and one-loop Feynman diagrams
describing such amplitudes in eleven-dimensional supergravity in a
Horava--Witten background compactified on a circle. This accounts for a number
of perturbative and non-perturbative aspects of low order higher derivative
terms in the low-energy expansion of string theory amplitudes, which are
expected to be protected by half maximal supersymmetry from receiving
corrections beyond one or two loops. It also suggests the manner in which type
I/heterotic duality may be realised for certain higher derivative interactions
that are not so obviously protected. For example, our considerations suggest
that R**4 interactions (where R is the Riemann curvature) might receive no
perturbative corrections beyond one loop by virtue of a conspiracy involving
contributions from (non-BPS) Z2 D-instantons in the type I and heterotic SO(32)
theories.
|
[
{
"created": "Fri, 1 Apr 2016 16:49:36 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2016 17:36:57 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Nov 2016 23:58:16 GMT",
"version": "v3"
}
] |
2017-02-01
|
[
[
"Green",
"Michael B.",
""
],
[
"Rudra",
"Arnab",
""
]
] |
This paper investigates relationships between low-energy four-particle scattering amplitudes with external gauge particles and gravitons in the E_8 X E_8 and SO(32) heterotic string theories and the type I and type IA superstring theories by considering a variety of tree level and one-loop Feynman diagrams describing such amplitudes in eleven-dimensional supergravity in a Horava--Witten background compactified on a circle. This accounts for a number of perturbative and non-perturbative aspects of low order higher derivative terms in the low-energy expansion of string theory amplitudes, which are expected to be protected by half maximal supersymmetry from receiving corrections beyond one or two loops. It also suggests the manner in which type I/heterotic duality may be realised for certain higher derivative interactions that are not so obviously protected. For example, our considerations suggest that R**4 interactions (where R is the Riemann curvature) might receive no perturbative corrections beyond one loop by virtue of a conspiracy involving contributions from (non-BPS) Z2 D-instantons in the type I and heterotic SO(32) theories.
| 9.56687
| 9.262673
| 10.4045
| 8.897079
| 9.237863
| 9.273693
| 10.250772
| 9.048725
| 9.343829
| 12.328296
| 8.529413
| 8.661481
| 10.484926
| 9.172185
| 9.076766
| 9.266387
| 9.125572
| 9.274268
| 8.993126
| 10.384409
| 9.138483
|
2206.11982
|
Dongmin Gang
|
Sunjin Choi, Dongmin Gang, Hee-Cheol Kim
|
Infrared phases of 3D Class R theories
|
71 pages, 7 figures
| null |
10.1007/JHEP11(2022)151
|
KIAS-P22046
|
hep-th math.GT
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We study the IR phases of 3D class R theories associated with closed
non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by
performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional
slopes. In 3D-3D correspondence, the `exceptional' Dehn filling corresponds to
the gauging of an $SU(2)$ flavor symmetry in a superconformal field theory
associated with a 1-cusped 3-manifold with `small' Chern-Simons levels. With
several explicit examples, we analyze various interesting non-perturbative IR
phenomena (such as spontaneous SUSY breaking, generation of mass gap and
supersymmetry enhancement) from the `exceptional' gaugings. Interestingly,
distinguished features of the IR phases can be captured by simple topological
properties of non-hyperbolic 3-manifolds. We also find that 3D class R theories
associated with certain classes of atoroidal non-hyperbolic 3-manifolds always
exhibit supersymmetry enhancement at low energy and actually flow to 3D rank-0
$\mathcal{N}=4$ SCFTs with trivial vacuum moduli space.
|
[
{
"created": "Thu, 23 Jun 2022 21:13:28 GMT",
"version": "v1"
}
] |
2022-12-14
|
[
[
"Choi",
"Sunjin",
""
],
[
"Gang",
"Dongmin",
""
],
[
"Kim",
"Hee-Cheol",
""
]
] |
We study the IR phases of 3D class R theories associated with closed non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional slopes. In 3D-3D correspondence, the `exceptional' Dehn filling corresponds to the gauging of an $SU(2)$ flavor symmetry in a superconformal field theory associated with a 1-cusped 3-manifold with `small' Chern-Simons levels. With several explicit examples, we analyze various interesting non-perturbative IR phenomena (such as spontaneous SUSY breaking, generation of mass gap and supersymmetry enhancement) from the `exceptional' gaugings. Interestingly, distinguished features of the IR phases can be captured by simple topological properties of non-hyperbolic 3-manifolds. We also find that 3D class R theories associated with certain classes of atoroidal non-hyperbolic 3-manifolds always exhibit supersymmetry enhancement at low energy and actually flow to 3D rank-0 $\mathcal{N}=4$ SCFTs with trivial vacuum moduli space.
| 5.592651
| 5.759552
| 6.269559
| 5.15923
| 5.74008
| 5.735172
| 5.807845
| 5.263902
| 5.338863
| 6.760208
| 5.226636
| 5.299953
| 5.824877
| 5.421916
| 5.374916
| 5.322205
| 5.294591
| 5.380756
| 5.377201
| 5.925739
| 5.262188
|
hep-th/0601067
|
Raffaele Marotta
|
Paolo Di Vecchia, Antonella Liccardo, Raffaele Marotta, Franco
Pezzella and Igor Pesando
|
Boundary State for Magnetized D9 Branes and One-Loop Calculation
|
12 pages,in honor of Adriano Di Giacomo on his 70th birthday,
contribution to the Festschrift
| null | null |
NORDITA-2005-89, DSF-01/2006, DFTT-02/2006
|
hep-th
| null |
We construct the boundary state describing magnetized D9 branes in R^{3,1} x
T^6 and we use it to compute the annulus and Moebius amplitudes. We derive from
them, by using open/closed string duality, the number of Landau levels on the
torus T^d.
|
[
{
"created": "Wed, 11 Jan 2006 11:21:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Di Vecchia",
"Paolo",
""
],
[
"Liccardo",
"Antonella",
""
],
[
"Marotta",
"Raffaele",
""
],
[
"Pezzella",
"Franco",
""
],
[
"Pesando",
"Igor",
""
]
] |
We construct the boundary state describing magnetized D9 branes in R^{3,1} x T^6 and we use it to compute the annulus and Moebius amplitudes. We derive from them, by using open/closed string duality, the number of Landau levels on the torus T^d.
| 10.689992
| 7.911479
| 10.549188
| 7.641369
| 8.265773
| 7.765214
| 8.763784
| 7.838659
| 7.333857
| 11.982753
| 7.546775
| 8.407313
| 9.951868
| 8.864054
| 8.518517
| 8.981968
| 8.281859
| 8.462741
| 8.645288
| 9.217608
| 8.886783
|
hep-th/9812038
| null |
E.T.Akhmedov (ITEP)
|
D-instantons probing D3-branes and the AdS/CFT correspondence
|
8pp., Latex. Minor changes, misprints are corrected
|
Phys.Rev.D59:101901,1999
|
10.1103/PhysRevD.59.101901
|
ITEP-TH-69/98
|
hep-th
| null |
D-instantons are considered as a probe of coinciding $N$ D3-branes. They can
feel an external metric via the commutator terms in their effective action. We
show that when the D-instantons are separated from the D3-branes, the metric
which is probed at the one loop level, {\it exactly} coincides with that of the
BPS R-R 3-brane. Interesting connection of this result to the possible
explanation of the AdS/CFT correspondence within IKKT M-atrix theory is
discussed.
|
[
{
"created": "Fri, 4 Dec 1998 09:30:22 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 1999 09:40:52 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Feb 1999 09:04:15 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Akhmedov",
"E. T.",
"",
"ITEP"
]
] |
D-instantons are considered as a probe of coinciding $N$ D3-branes. They can feel an external metric via the commutator terms in their effective action. We show that when the D-instantons are separated from the D3-branes, the metric which is probed at the one loop level, {\it exactly} coincides with that of the BPS R-R 3-brane. Interesting connection of this result to the possible explanation of the AdS/CFT correspondence within IKKT M-atrix theory is discussed.
| 13.448655
| 10.95995
| 13.896532
| 11.451266
| 10.846888
| 10.983715
| 11.214922
| 10.886237
| 10.559175
| 15.570543
| 10.721073
| 10.486732
| 12.193405
| 11.216424
| 10.681934
| 10.76168
| 10.610133
| 10.717535
| 10.872018
| 11.795014
| 11.60575
|
hep-th/9503201
|
Jae-suk Park
|
Seungjoon Hyun, Jaemo Park and Jae-Suk Park
|
Topological QCD
|
31 pages, use harvmac, the version to appear in Nucl. Phys. B
|
Nucl.Phys. B453 (1995) 199-224
|
10.1016/0550-3213(95)00404-G
|
YUMS-95-08, CALT-68-1985 and SWAT/67
|
hep-th alg-geom math.AG
| null |
We study the twisted $N=2$ supersymmetric Yang-Mills theory coupled with the
hypermultiplets (TQCD). We suggest that the family of TQCD can be served as a
powerful tool for studying the quantum field theoretic properties of the
underlying physical theories.
|
[
{
"created": "Tue, 28 Mar 1995 18:01:42 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 1995 23:20:36 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jul 1995 08:56:21 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Hyun",
"Seungjoon",
""
],
[
"Park",
"Jaemo",
""
],
[
"Park",
"Jae-Suk",
""
]
] |
We study the twisted $N=2$ supersymmetric Yang-Mills theory coupled with the hypermultiplets (TQCD). We suggest that the family of TQCD can be served as a powerful tool for studying the quantum field theoretic properties of the underlying physical theories.
| 12.677331
| 11.341613
| 12.928322
| 10.377024
| 12.702843
| 11.876237
| 10.832429
| 11.397771
| 10.218005
| 12.506355
| 10.368127
| 11.429713
| 11.957718
| 11.038413
| 10.974507
| 11.286342
| 11.498021
| 11.5458
| 11.798912
| 12.266423
| 10.764973
|
1105.2298
|
Carlos A. R. Herdeiro
|
Carlos Herdeiro, Marco O. P. Sampaio and Carmen Rebelo
|
Radiation from a D-dimensional collision of shock waves: first order
perturbation theory
|
27 pages, 11 figures; v2 some corrections, including D dependent
factor in epsilon; matches version accepted in JHEP
|
JHEP 1107:121,2011
|
10.1007/JHEP07(2011)121
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spacetime obtained by superimposing two equal Aichelburg-Sexl
shock waves in D dimensions traveling, head-on, in opposite directions.
Considering the collision in a boosted frame, one shock becomes stronger than
the other, and a perturbative framework to compute the metric in the future of
the collision is setup. The geometry is given, in first order perturbation
theory, as an integral solution, in terms of initial data on the null surface
where the strong shock has support. We then extract the radiation emitted in
the collision by using a D-dimensional generalisation of the Landau-Lifschitz
pseudo-tensor and compute the percentage of the initial centre of mass energy
epsilon emitted as gravitational waves. In D=4 we find epsilon=25.0%, in
agreement with the result of D'Eath and Payne. As D increases, this percentage
increases monotonically, reaching 40.0% in D=10. Our result is always within
the bound obtained from apparent horizons by Penrose, in D=4, yielding 29.3%,
and Eardley and Giddings, in D> 4, which also increases monotonically with
dimension, reaching 41.2% in D=10. We also present the wave forms and provide a
physical interpretation for the observed peaks, in terms of the null generators
of the shocks.
|
[
{
"created": "Wed, 11 May 2011 20:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2011 13:30:05 GMT",
"version": "v2"
}
] |
2011-08-01
|
[
[
"Herdeiro",
"Carlos",
""
],
[
"Sampaio",
"Marco O. P.",
""
],
[
"Rebelo",
"Carmen",
""
]
] |
We study the spacetime obtained by superimposing two equal Aichelburg-Sexl shock waves in D dimensions traveling, head-on, in opposite directions. Considering the collision in a boosted frame, one shock becomes stronger than the other, and a perturbative framework to compute the metric in the future of the collision is setup. The geometry is given, in first order perturbation theory, as an integral solution, in terms of initial data on the null surface where the strong shock has support. We then extract the radiation emitted in the collision by using a D-dimensional generalisation of the Landau-Lifschitz pseudo-tensor and compute the percentage of the initial centre of mass energy epsilon emitted as gravitational waves. In D=4 we find epsilon=25.0%, in agreement with the result of D'Eath and Payne. As D increases, this percentage increases monotonically, reaching 40.0% in D=10. Our result is always within the bound obtained from apparent horizons by Penrose, in D=4, yielding 29.3%, and Eardley and Giddings, in D> 4, which also increases monotonically with dimension, reaching 41.2% in D=10. We also present the wave forms and provide a physical interpretation for the observed peaks, in terms of the null generators of the shocks.
| 8.282367
| 9.94876
| 8.686707
| 8.85233
| 9.188592
| 9.389953
| 9.988256
| 8.423001
| 9.094893
| 8.509398
| 9.218202
| 8.389811
| 8.535433
| 8.330913
| 8.307412
| 8.496031
| 8.73272
| 8.27772
| 8.518856
| 8.318498
| 8.355458
|
hep-th/9503109
| null |
G. Grignani, G. Semenoff, P. Sodano
|
Polyakov Loops in 2D QCD
|
12 pages, latex, no figures.
| null | null |
DFUPG 99/95
|
hep-th
| null |
We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle.
We show that the effective action for the Polyakov Loop operator is a one
dimensional gauged SU(N) principle chiral model with variables in the loop
space and loop algebra of the gauge group. We find that the quantum states can
be characterized by a discrete $\theta$-angle which appears with a particular
1-dimensional topological term in the effective action. We present an explicit
computation of the partition function and obtain the spectrum of the model,
together with its dependence on the discrete theta angle. We also present
explicit formulae for 2-point correlators of Polyakov loop operators and an
algorithm for computing all N-point correlators.
|
[
{
"created": "Thu, 16 Mar 1995 15:49:25 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Grignani",
"G.",
""
],
[
"Semenoff",
"G.",
""
],
[
"Sodano",
"P.",
""
]
] |
We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle. We show that the effective action for the Polyakov Loop operator is a one dimensional gauged SU(N) principle chiral model with variables in the loop space and loop algebra of the gauge group. We find that the quantum states can be characterized by a discrete $\theta$-angle which appears with a particular 1-dimensional topological term in the effective action. We present an explicit computation of the partition function and obtain the spectrum of the model, together with its dependence on the discrete theta angle. We also present explicit formulae for 2-point correlators of Polyakov loop operators and an algorithm for computing all N-point correlators.
| 10.381084
| 9.874612
| 9.975595
| 9.331491
| 9.975305
| 9.612036
| 9.474121
| 11.119573
| 9.302953
| 12.12303
| 9.685059
| 9.838071
| 10.296885
| 9.911869
| 10.33612
| 9.641071
| 9.944244
| 9.888777
| 9.767927
| 10.267428
| 9.861342
|
hep-th/0308008
|
Gabriele Travaglini
|
Jonathan Levell, Gabriele Travaglini
|
Effective actions, Wilson lines and the IR/UV mixing in noncommutative
supersymmetric gauge theories
|
23 pages, 8 figures. v2: new section and references added, effective
action expressed only in terms of open Wilson lines operators
|
JHEP 0403 (2004) 021
|
10.1088/1126-6708/2004/03/021
| null |
hep-th
| null |
We study IR/UV mixing effects in noncommutative supersymmetric Yang-Mills
theories with gauge group U(N) using background field perturbation theory. We
compute three- and four-point functions of background fields, and show that the
IR/UV mixed contributions to these correlators can be reproduced from an
explicitly gauge-invariant effective action, which is expressed in terms of
open Wilson lines.
|
[
{
"created": "Fri, 1 Aug 2003 15:10:19 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2004 12:49:49 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Levell",
"Jonathan",
""
],
[
"Travaglini",
"Gabriele",
""
]
] |
We study IR/UV mixing effects in noncommutative supersymmetric Yang-Mills theories with gauge group U(N) using background field perturbation theory. We compute three- and four-point functions of background fields, and show that the IR/UV mixed contributions to these correlators can be reproduced from an explicitly gauge-invariant effective action, which is expressed in terms of open Wilson lines.
| 6.658041
| 6.085429
| 6.752211
| 5.3722
| 5.641475
| 5.594451
| 5.586538
| 5.497651
| 5.689334
| 8.367256
| 5.825338
| 5.86302
| 7.379895
| 6.149416
| 5.664312
| 5.893123
| 5.934963
| 6.120492
| 6.274736
| 6.722985
| 5.865495
|
hep-th/0401236
|
Kluson Josef
|
J. Kluson
|
Bosonic D-brane Effective Action in Linear Dilaton Background
|
16 pages, Typos corrected
|
JHEP 0402:024,2004
|
10.1088/1126-6708/2004/02/024
| null |
hep-th
| null |
In this paper we will study tachyon effective action for Dp-brane in bosonic
string theory in the linear dilaton background. We obtain the tachyon effective
Lagrangian from boundary state coeficient of Dp-brane in the linear dilaton
background and compare it with tachyon effective Lagrangians that were proposed
in previous papers.
|
[
{
"created": "Fri, 30 Jan 2004 11:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Jan 2004 17:44:39 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 2004 12:43:05 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we will study tachyon effective action for Dp-brane in bosonic string theory in the linear dilaton background. We obtain the tachyon effective Lagrangian from boundary state coeficient of Dp-brane in the linear dilaton background and compare it with tachyon effective Lagrangians that were proposed in previous papers.
| 6.750661
| 6.101565
| 7.265206
| 5.735118
| 5.661262
| 5.740793
| 5.858521
| 5.721932
| 5.904411
| 7.115534
| 5.811151
| 5.80141
| 6.170671
| 5.875861
| 5.934388
| 5.752992
| 5.848307
| 5.732316
| 5.869774
| 6.188274
| 5.92862
|
1503.08664
|
Michael Brown
|
Michael Brown, Ian Whittingham
|
Two-particle irreducible effective actions versus resummation: analytic
properties and self-consistency
|
Version accepted for publication in Nuclear Physics B. 31 pages, 16
figures. Uses feynmf
|
Nuclear Physics B 900C (2015) 477-500
|
10.1016/j.nuclphysb.2015.09.021
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Approximations based on two-particle irreducible (2PI) effective actions
(also known as $\Phi$-derivable, Cornwall-Jackiw-Tomboulis or Luttinger-Ward
functionals depending on context) have been widely used in condensed matter and
non-equilibrium quantum/statistical field theory because this formalism gives a
robust, self-consistent, non-perturbative and systematically improvable
approach which avoids problems with secular time evolution. The strengths of
2PI approximations are often described in terms of a selective resummation of
Feynman diagrams to infinite order. However, the Feynman diagram series is
asymptotic and summation is at best a dangerous procedure. Here we show that,
at least in the context of a toy model where exact results are available, the
true strength of 2PI approximations derives from their self-consistency rather
than any resummation. This self-consistency allows truncated 2PI approximations
to capture the branch points of physical amplitudes where adjustments of
coupling constants can trigger an instability of the vacuum. This, in effect,
turns Dyson's argument for the failure of perturbation theory on its head. As a
result we find that 2PI approximations perform better than Pad\'e approximation
and are competitive with Borel-Pad\'e resummation. Finally, we introduce a
hybrid 2PI-Pad\'e method.
|
[
{
"created": "Mon, 30 Mar 2015 13:23:56 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jul 2015 06:17:57 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2015 05:47:03 GMT",
"version": "v3"
}
] |
2015-10-27
|
[
[
"Brown",
"Michael",
""
],
[
"Whittingham",
"Ian",
""
]
] |
Approximations based on two-particle irreducible (2PI) effective actions (also known as $\Phi$-derivable, Cornwall-Jackiw-Tomboulis or Luttinger-Ward functionals depending on context) have been widely used in condensed matter and non-equilibrium quantum/statistical field theory because this formalism gives a robust, self-consistent, non-perturbative and systematically improvable approach which avoids problems with secular time evolution. The strengths of 2PI approximations are often described in terms of a selective resummation of Feynman diagrams to infinite order. However, the Feynman diagram series is asymptotic and summation is at best a dangerous procedure. Here we show that, at least in the context of a toy model where exact results are available, the true strength of 2PI approximations derives from their self-consistency rather than any resummation. This self-consistency allows truncated 2PI approximations to capture the branch points of physical amplitudes where adjustments of coupling constants can trigger an instability of the vacuum. This, in effect, turns Dyson's argument for the failure of perturbation theory on its head. As a result we find that 2PI approximations perform better than Pad\'e approximation and are competitive with Borel-Pad\'e resummation. Finally, we introduce a hybrid 2PI-Pad\'e method.
| 5.713518
| 6.861127
| 6.362334
| 6.222094
| 6.891284
| 6.921495
| 7.039976
| 6.493839
| 6.093083
| 6.47294
| 6.372519
| 6.098502
| 6.059383
| 6.003374
| 6.017383
| 5.998874
| 5.926016
| 6.033854
| 5.971293
| 6.012693
| 6.120595
|
0709.1520
|
Yu-Xiao Liu
|
Li Zhao, Yu-Xiao Liu, Yi-Shi Duan
|
Fermions in gravity and gauge backgrounds on a brane world
|
11 pages, no figures, final version
|
Mod.Phys.Lett.A23:1129-1139,2008
|
10.1142/S0217732308025796
| null |
hep-th
| null |
We solve the fermionic zero modes in gravity and gauge backgrounds on a brane
involving a warped geometry, and study the localization of spin 1/2 fermionic
field on the brane world. The result is that there exist massless spin 1/2
fermions which can be localized on the bulk with the exponentially decreasing
warp factor if including U(1) gauge background. Two special cases of gauge
backgrounds on the extra dimensional manifold are discussed.
|
[
{
"created": "Tue, 11 Sep 2007 02:32:20 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2007 03:38:19 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Sep 2007 13:52:36 GMT",
"version": "v3"
},
{
"created": "Mon, 26 May 2008 12:32:25 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Zhao",
"Li",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Duan",
"Yi-Shi",
""
]
] |
We solve the fermionic zero modes in gravity and gauge backgrounds on a brane involving a warped geometry, and study the localization of spin 1/2 fermionic field on the brane world. The result is that there exist massless spin 1/2 fermions which can be localized on the bulk with the exponentially decreasing warp factor if including U(1) gauge background. Two special cases of gauge backgrounds on the extra dimensional manifold are discussed.
| 12.911149
| 9.68904
| 12.384027
| 10.415602
| 10.905001
| 11.080417
| 11.208102
| 11.043043
| 9.906104
| 13.421076
| 10.380639
| 11.58313
| 12.116852
| 11.384708
| 11.654274
| 12.044931
| 11.015312
| 11.627466
| 11.28124
| 12.211761
| 11.563585
|
2305.02845
|
Chen Ma
|
Jin Chen, Chen Ma, Chushun Tian
|
A string-theoretical analog of non-maximal chaos in some
Sachdev-Ye-Kitaev-like models
|
39 pages, 2 figures
| null | null | null |
hep-th cond-mat.str-el nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Very recently two of the present authors have studied the chaos exponent of
some Sachdev-Ye-Kitaev (SYK)-like models for arbitrary interaction strength
[1]. These models carry supersymmetric (SUSY) or SUSY-like structures. Namely,
bosons and Majorana fermions are both present and each of them interacts with
$(q-1)$ particles, but the model is not necessarily supersymmetric. It was
found that the chaos exponents in different models, no matter whether they
carry SUSY(-like) structures or not, all follow a universal single-parameter
scaling law for large $q$, and by tuning that parameter continuously a flow
from maximally chaotic to completely regular motion results. Here we report a
string-theoretical analog of this chaotic phenomenon. Specifically, we consider
closed string scattering near the two-sided AdS black hole, whose amplitude
grows exponentially in the Schwarzschild time, with a rate determined by the
Regge spin of the Pomeron exchanged during string scattering. We calculate the
Pomeron Regge spin for strings of different types, including the bosonic
string, the type II superstring and the heterotic superstring. We find that the
Pomeron Regge spin also displays a single-parameter scaling behavior
independent of string types, with the parameter depending on the string length
and the length scale characterizing the spacetime curvature; moreover, the
scaling function has the same limiting behaviors as that for the chaos exponent
of SYK-like models. Remarkably, the flow from maximally chaotic to completely
regular motion in SYK-like models corresponds to the flow of the Pomeron Regge
spin from $2$ to $1$.
|
[
{
"created": "Thu, 4 May 2023 14:03:48 GMT",
"version": "v1"
}
] |
2023-05-05
|
[
[
"Chen",
"Jin",
""
],
[
"Ma",
"Chen",
""
],
[
"Tian",
"Chushun",
""
]
] |
Very recently two of the present authors have studied the chaos exponent of some Sachdev-Ye-Kitaev (SYK)-like models for arbitrary interaction strength [1]. These models carry supersymmetric (SUSY) or SUSY-like structures. Namely, bosons and Majorana fermions are both present and each of them interacts with $(q-1)$ particles, but the model is not necessarily supersymmetric. It was found that the chaos exponents in different models, no matter whether they carry SUSY(-like) structures or not, all follow a universal single-parameter scaling law for large $q$, and by tuning that parameter continuously a flow from maximally chaotic to completely regular motion results. Here we report a string-theoretical analog of this chaotic phenomenon. Specifically, we consider closed string scattering near the two-sided AdS black hole, whose amplitude grows exponentially in the Schwarzschild time, with a rate determined by the Regge spin of the Pomeron exchanged during string scattering. We calculate the Pomeron Regge spin for strings of different types, including the bosonic string, the type II superstring and the heterotic superstring. We find that the Pomeron Regge spin also displays a single-parameter scaling behavior independent of string types, with the parameter depending on the string length and the length scale characterizing the spacetime curvature; moreover, the scaling function has the same limiting behaviors as that for the chaos exponent of SYK-like models. Remarkably, the flow from maximally chaotic to completely regular motion in SYK-like models corresponds to the flow of the Pomeron Regge spin from $2$ to $1$.
| 8.936068
| 9.327308
| 10.144827
| 8.603485
| 9.179958
| 9.659367
| 8.748569
| 8.913785
| 8.763083
| 10.631751
| 8.308878
| 8.343113
| 8.855594
| 8.523118
| 8.533286
| 8.670008
| 8.481202
| 8.573311
| 8.516679
| 8.927854
| 8.433587
|
2201.00322
|
Fuzhong Yang
|
Xuan Li and Yuan-Chun Jing and Fu-Zhong Yang
|
Superpotentials of D-branes in Calabi-Yau Manifolds with Several Moduli
by Mirror Symmetry and Blown-up
| null | null |
10.1007/JHEP02(2022)203
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study B-brane superpotentials depending on several closed- and open-
moduli on Calabi-Yau hypersurfaces and complete intersections. By blowing up
the ambient space along a curve wrapped by B-branes in a Calabi-Yau manifold,
we obtain a blow-up new manifold and the period integral satisfying the
GKZ-system. Via mirror symmetry to A-model, we calculate the superpotentials
and extract Ooguri-Vafa invariants for concrete examples of several open-closed
moduli in Calabi-Yau manifolds.
|
[
{
"created": "Sun, 2 Jan 2022 09:06:35 GMT",
"version": "v1"
}
] |
2022-03-14
|
[
[
"Li",
"Xuan",
""
],
[
"Jing",
"Yuan-Chun",
""
],
[
"Yang",
"Fu-Zhong",
""
]
] |
We study B-brane superpotentials depending on several closed- and open- moduli on Calabi-Yau hypersurfaces and complete intersections. By blowing up the ambient space along a curve wrapped by B-branes in a Calabi-Yau manifold, we obtain a blow-up new manifold and the period integral satisfying the GKZ-system. Via mirror symmetry to A-model, we calculate the superpotentials and extract Ooguri-Vafa invariants for concrete examples of several open-closed moduli in Calabi-Yau manifolds.
| 11.127829
| 10.956964
| 15.670498
| 11.104258
| 12.26602
| 11.187169
| 11.707416
| 10.487769
| 10.027685
| 14.264681
| 9.766104
| 10.837027
| 12.537189
| 10.354618
| 10.576777
| 10.487939
| 10.534979
| 10.684404
| 10.209787
| 11.559037
| 10.45374
|
0708.0609
|
Christopher Herzog
|
C. P. Herzog, A. Vuorinen
|
Spinning Dragging Strings
|
25 pages, 4 figures; v2 refs added; v3 to appear in JHEP, clarifying
comments
|
JHEP0710:087,2007
|
10.1088/1126-6708/2007/10/087
| null |
hep-th
| null |
We use the AdS/CFT correspondence to compute the drag force experienced by a
heavy quark moving through a maximally supersymmetric SU(N) super Yang-Mills
plasma at nonzero temperature and R-charge chemical potential and at large 't
Hooft coupling. We resolve a discrepancy in the literature between two earlier
studies of such quarks. In addition, we consider small fluctuations of the
spinning strings dual to these probe quarks and find no evidence of
instabilities. We make some comments about suitable D7-brane boundary
conditions for the dual strings.
|
[
{
"created": "Mon, 6 Aug 2007 18:49:40 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 04:05:06 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Oct 2007 15:48:13 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Herzog",
"C. P.",
""
],
[
"Vuorinen",
"A.",
""
]
] |
We use the AdS/CFT correspondence to compute the drag force experienced by a heavy quark moving through a maximally supersymmetric SU(N) super Yang-Mills plasma at nonzero temperature and R-charge chemical potential and at large 't Hooft coupling. We resolve a discrepancy in the literature between two earlier studies of such quarks. In addition, we consider small fluctuations of the spinning strings dual to these probe quarks and find no evidence of instabilities. We make some comments about suitable D7-brane boundary conditions for the dual strings.
| 8.510703
| 7.70637
| 9.386736
| 7.306477
| 7.509437
| 7.645921
| 7.51291
| 7.293348
| 7.307396
| 10.090567
| 6.893388
| 7.289145
| 8.230412
| 7.569648
| 7.412441
| 7.426065
| 7.256685
| 7.158141
| 7.392362
| 8.164877
| 7.58532
|
hep-th/0002010
|
Vincent G. J. Rodgers
|
C. Curto, S.J. Gates, V. G. J. Rodgers
|
Superspace Geometrical Realization of the N-Extended Super Virasoro
Algebra and its Dual
|
17 pages Latex Typos in TeX file has been corrected
|
Phys.Lett.B480:337-347,2000
|
10.1016/S0370-2693(00)00400-7
|
UMD-EPP 00-049
|
hep-th
| null |
We derive properties of N-extended GR super Virasoro algebras. These include
adding central extensions, identification of all primary fields and the action
of the adjoint representation on its dual. The final result suggest
identification with the spectrum of fields in supergravity theories and
superstring/M-theory constructed from NSR N-extended supersymmetric ${\cal
{GR}}$ Virasoro algebras.
|
[
{
"created": "Tue, 1 Feb 2000 20:04:00 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Sep 2002 21:53:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Curto",
"C.",
""
],
[
"Gates",
"S. J.",
""
],
[
"Rodgers",
"V. G. J.",
""
]
] |
We derive properties of N-extended GR super Virasoro algebras. These include adding central extensions, identification of all primary fields and the action of the adjoint representation on its dual. The final result suggest identification with the spectrum of fields in supergravity theories and superstring/M-theory constructed from NSR N-extended supersymmetric ${\cal {GR}}$ Virasoro algebras.
| 21.325411
| 23.393372
| 25.794823
| 23.025068
| 24.686468
| 25.2805
| 22.402651
| 24.055223
| 21.670111
| 27.247906
| 21.34189
| 20.572115
| 22.641939
| 20.599787
| 20.380573
| 20.402227
| 20.243437
| 19.667774
| 21.889193
| 22.779537
| 20.520573
|
2302.08742
|
Mojtaba Shahbazi
|
Shahrokh Parvizi and Mojtaba Shahbazi
|
Analogue gravity and the island prescription
|
15 pages, 5 figures
| null |
10.1140/epjc/s10052-023-11874-4
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Analogue gravity succeeded to simulate Hawking radiation and test it in
laboratories. In this setting, the black hole is simulated by an area in a
fluid, say water, where no sound wave can escape the event horizon and phonon
oscillations are detected as Hawking radiation. This means that the analogue
simulations can provide an alternative description, and consequently, a new
insight to the high energy physics problems. Now it would be interesting to see
what information loss means and how island prescription is interpreted in water
experiment. In this paper we show that the analogue of information loss is the
loss of momentum per unit mass of the fluid over the horizon and maintaining
the momentum loss leads to the island prescription.
|
[
{
"created": "Fri, 17 Feb 2023 07:44:14 GMT",
"version": "v1"
}
] |
2023-08-10
|
[
[
"Parvizi",
"Shahrokh",
""
],
[
"Shahbazi",
"Mojtaba",
""
]
] |
Analogue gravity succeeded to simulate Hawking radiation and test it in laboratories. In this setting, the black hole is simulated by an area in a fluid, say water, where no sound wave can escape the event horizon and phonon oscillations are detected as Hawking radiation. This means that the analogue simulations can provide an alternative description, and consequently, a new insight to the high energy physics problems. Now it would be interesting to see what information loss means and how island prescription is interpreted in water experiment. In this paper we show that the analogue of information loss is the loss of momentum per unit mass of the fluid over the horizon and maintaining the momentum loss leads to the island prescription.
| 18.724167
| 20.779205
| 18.759113
| 18.554529
| 18.973921
| 21.195055
| 18.263004
| 19.079222
| 18.934277
| 17.237831
| 17.633812
| 16.928305
| 18.086765
| 17.042477
| 17.104883
| 17.027605
| 17.315599
| 17.985086
| 17.536598
| 17.881598
| 16.599485
|
hep-th/9712086
|
Michael B. Green
|
Constantin P. Bachas, Michael B. Green and Adam Schwimmer
|
(8,0) Quantum mechanics and symmetry enhancement in type I' superstrings
|
30 pages LaTeX, Five figures. Two references added as well as some
Comments in section4. v4: Missing backslashes added to four reference
citations!
|
JHEP 9801:006,1998
|
10.1088/1126-6708/1998/01/006
|
CPTH/S570.1297; DAMTP/97-50; WIS/97-34
|
hep-th
| null |
The low-energy supersymmetric quantum mechanics describing D-particles in the
background of D8-branes and orientifold planes is analyzed in detail, including
a careful discussion of Gauss' law and normal ordering of operators. This
elucidates the mechanism that binds D-particles to an orientifold plane, in
accordance with the predictions of heterotic/type I duality. The ocurrence of
enhanced symmetries associated with massless bound states of a D-particle with
one orientifold plane is illustrated by the enhancement of $SO(14) \times U(1)$
to $E_8$ and $SO(12)\times U(1)$ to $E_7$ at strong type I' coupling.
Enhancement to higher-rank groups involves both orientifold planes. For
example, the enhanced $E_8 \times E_8 \times SU(2)$ symmetry at the self-dual
radius of the heterotic string is seen as the result of two D8-branes
coinciding midway between the orientifold planes, while the enhanced $SU(18)$
symmetry results from the coincidence of all sixteen D8-branes and $SO(34)$
when they also coincide with an orientifold plane. As a separate by-product,
the s-rule of brane-engineered gauge theories is derived by relating it through
a chain of dualities to the Pauli exclusion principle.
|
[
{
"created": "Mon, 8 Dec 1997 20:27:06 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 1998 14:14:34 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Feb 1998 20:24:26 GMT",
"version": "v3"
},
{
"created": "Mon, 2 Mar 1998 18:56:42 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Bachas",
"Constantin P.",
""
],
[
"Green",
"Michael B.",
""
],
[
"Schwimmer",
"Adam",
""
]
] |
The low-energy supersymmetric quantum mechanics describing D-particles in the background of D8-branes and orientifold planes is analyzed in detail, including a careful discussion of Gauss' law and normal ordering of operators. This elucidates the mechanism that binds D-particles to an orientifold plane, in accordance with the predictions of heterotic/type I duality. The ocurrence of enhanced symmetries associated with massless bound states of a D-particle with one orientifold plane is illustrated by the enhancement of $SO(14) \times U(1)$ to $E_8$ and $SO(12)\times U(1)$ to $E_7$ at strong type I' coupling. Enhancement to higher-rank groups involves both orientifold planes. For example, the enhanced $E_8 \times E_8 \times SU(2)$ symmetry at the self-dual radius of the heterotic string is seen as the result of two D8-branes coinciding midway between the orientifold planes, while the enhanced $SU(18)$ symmetry results from the coincidence of all sixteen D8-branes and $SO(34)$ when they also coincide with an orientifold plane. As a separate by-product, the s-rule of brane-engineered gauge theories is derived by relating it through a chain of dualities to the Pauli exclusion principle.
| 7.34539
| 7.79514
| 8.525016
| 7.172088
| 7.602664
| 7.704147
| 7.826656
| 7.259331
| 7.454212
| 8.244972
| 7.475538
| 7.264647
| 7.390961
| 7.243252
| 7.106387
| 7.228661
| 7.30946
| 7.183058
| 7.246759
| 7.594616
| 7.009473
|
2203.01956
|
Gregory Loges
|
Gregory J. Loges, Gary Shiu, Nidhi Sudhir
|
Complex Saddles and Euclidean Wormholes in the Lorentzian Path Integral
|
21 pages, 5 figures. v2: citations added, typos corrected, figures
updated
| null |
10.1007/JHEP08(2022)064
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study complex saddles of the Lorentzian path integral for 4D axion gravity
and its dual description in terms of a 3-form flux, which include the
Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed
using the Lorentzian path integral and with the help of Picard-Lefschetz
theory. The number and nature of saddles is shown to qualitatively change in
the presence of a bilocal operator that could arise, for example, as a result
of considering higher-topology transitions. We also analyze the stability of
the Giddings-Strominger wormhole in the 3-form picture, where we find that it
represents a perturbatively stable Euclidean saddle of the gravitational path
integral. This calls into question the ultimate fate of such solutions in an
ultraviolet-complete theory of quantum gravity.
|
[
{
"created": "Thu, 3 Mar 2022 19:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2022 01:13:58 GMT",
"version": "v2"
}
] |
2022-08-24
|
[
[
"Loges",
"Gregory J.",
""
],
[
"Shiu",
"Gary",
""
],
[
"Sudhir",
"Nidhi",
""
]
] |
We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms of a 3-form flux, which include the Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed using the Lorentzian path integral and with the help of Picard-Lefschetz theory. The number and nature of saddles is shown to qualitatively change in the presence of a bilocal operator that could arise, for example, as a result of considering higher-topology transitions. We also analyze the stability of the Giddings-Strominger wormhole in the 3-form picture, where we find that it represents a perturbatively stable Euclidean saddle of the gravitational path integral. This calls into question the ultimate fate of such solutions in an ultraviolet-complete theory of quantum gravity.
| 8.36918
| 7.915659
| 7.909311
| 7.356775
| 8.107002
| 7.736532
| 7.665499
| 7.327434
| 8.003037
| 8.760542
| 7.556348
| 7.424962
| 8.197951
| 7.78661
| 7.948593
| 7.474035
| 7.795788
| 7.73226
| 7.886887
| 8.071115
| 7.52076
|
hep-th/9808136
|
Marco Cavagli\`a
|
Marco Cavaglia
|
Two-Dimensional Dilaton Gravity
|
Talk given at the Conference Particles, Fields and Gravitation, Lodz,
Poland, Apr. 15-19, 1998; 7 pages, LaTeX, uses aipproc.sty
|
AIP Conf.Proc.453:442-448,1998
|
10.1063/1.57109
| null |
hep-th gr-qc
| null |
I briefly summarize recent results on classical and quantum dilaton gravity
in 1+1 dimensions.
|
[
{
"created": "Fri, 21 Aug 1998 09:58:58 GMT",
"version": "v1"
}
] |
2010-12-13
|
[
[
"Cavaglia",
"Marco",
""
]
] |
I briefly summarize recent results on classical and quantum dilaton gravity in 1+1 dimensions.
| 16.002102
| 7.212651
| 6.898027
| 6.745469
| 6.460199
| 6.822384
| 6.613076
| 6.909219
| 7.543359
| 8.442517
| 6.78401
| 7.852291
| 8.409794
| 7.807549
| 7.42921
| 7.617509
| 8.133727
| 7.444354
| 8.464906
| 8.189116
| 8.122481
|
1706.00197
|
Ilmar Gahramanov
|
Ilmar Gahramanov and Edvard T. Musaev
|
Integrability properties of Motzkin polynomials
|
v2. the part on the renormalization group flow has been removed since
it was incorrect
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a Hamiltonian system which has its origin in a generalization of
exact renormalization group flow of matrix scalar field theory and describes a
non-linear generalization of the shock-wave equation that is known to be
integrable. Analyzing conserved currents of the system the letter shows, that
these follow a nice pattern governed by coefficients of Motzkin polynomials,
where each integral of motion corresponds to a path on a unit lattice.
|
[
{
"created": "Thu, 1 Jun 2017 08:17:54 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2017 12:41:34 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Gahramanov",
"Ilmar",
""
],
[
"Musaev",
"Edvard T.",
""
]
] |
We consider a Hamiltonian system which has its origin in a generalization of exact renormalization group flow of matrix scalar field theory and describes a non-linear generalization of the shock-wave equation that is known to be integrable. Analyzing conserved currents of the system the letter shows, that these follow a nice pattern governed by coefficients of Motzkin polynomials, where each integral of motion corresponds to a path on a unit lattice.
| 20.57342
| 20.970297
| 20.993885
| 19.014574
| 21.557501
| 19.84507
| 19.870806
| 23.026024
| 19.357634
| 21.517637
| 19.126474
| 19.912863
| 21.418081
| 20.828337
| 20.998539
| 20.227989
| 20.727015
| 21.151636
| 21.203434
| 21.926397
| 19.92684
|
hep-th/0504046
|
Gerald V. Dunne
|
Gerald V. Dunne and Vishesh Khemani
|
2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge
|
22 pages, 8 figures, revtex4; v2 - references and comments added
|
J.Phys. A38 (2005) 7577-7594
|
10.1088/0305-4470/38/34/011
| null |
hep-th
| null |
Semiclassical instanton solutions in the 3D SU(2) Georgi-Glashow model are
transformed into the Weyl gauge. This illustrates the tunneling interpretation
of these instantons and provides a smooth regularization of the singular
unitary gauge. The 3D Georgi-Glashow model has both instanton and sphaleron
solutions, in contrast to 3D Yang-Mills theory which has neither, and 4D
Yang-Mills theory which has instantons but no sphaleron, and 4D electroweak
theory which has a sphaleron but no instantons. We also discuss the spectral
flow picture of fundamental fermions in a Georgi-Glashow instanton background.
|
[
{
"created": "Tue, 5 Apr 2005 20:23:31 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 20:09:59 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Dunne",
"Gerald V.",
""
],
[
"Khemani",
"Vishesh",
""
]
] |
Semiclassical instanton solutions in the 3D SU(2) Georgi-Glashow model are transformed into the Weyl gauge. This illustrates the tunneling interpretation of these instantons and provides a smooth regularization of the singular unitary gauge. The 3D Georgi-Glashow model has both instanton and sphaleron solutions, in contrast to 3D Yang-Mills theory which has neither, and 4D Yang-Mills theory which has instantons but no sphaleron, and 4D electroweak theory which has a sphaleron but no instantons. We also discuss the spectral flow picture of fundamental fermions in a Georgi-Glashow instanton background.
| 5.727354
| 5.359112
| 5.790714
| 5.353344
| 5.821111
| 5.650281
| 6.045887
| 5.469612
| 5.617984
| 5.853149
| 5.210793
| 5.186887
| 5.405927
| 5.186275
| 5.399363
| 5.211251
| 5.283605
| 5.26764
| 5.159406
| 5.216243
| 5.341568
|
1412.6826
|
Nouman Muteeb Muhammad
|
Alejandro Cabo-Bizet, Edi Gava, V. I. Giraldo-Rivera, M. Nouman
Muteeb, K.S. Narain
|
Partition Function of $N=2$ Gauge Theories on a Squashed $S^4$ with
$SU(2)\times U(1)$ Isometry
|
version to appear in Nuclear Physics B
| null |
10.1016/j.nuclphysb.2015.07.029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $N=2$ supersymmetric gauge theories on a large family of squashed
4-spheres preserving $SU(2)\times U(1)\subset SO(4)$ isometry and determine the
conditions under which this background is supersymmetric. We then compute the
partition function of the theories by using localization technique. The results
indicate that for $N=2$ SUSY, including both vector-multiplets and
hypermultiplets, the partition function is independent of the arbitrary
squashing functions as well as of the other supergravity background fields.
|
[
{
"created": "Sun, 21 Dec 2014 19:48:03 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Dec 2014 18:41:44 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Aug 2015 14:08:11 GMT",
"version": "v3"
}
] |
2015-12-09
|
[
[
"Cabo-Bizet",
"Alejandro",
""
],
[
"Gava",
"Edi",
""
],
[
"Giraldo-Rivera",
"V. I.",
""
],
[
"Muteeb",
"M. Nouman",
""
],
[
"Narain",
"K. S.",
""
]
] |
We study $N=2$ supersymmetric gauge theories on a large family of squashed 4-spheres preserving $SU(2)\times U(1)\subset SO(4)$ isometry and determine the conditions under which this background is supersymmetric. We then compute the partition function of the theories by using localization technique. The results indicate that for $N=2$ SUSY, including both vector-multiplets and hypermultiplets, the partition function is independent of the arbitrary squashing functions as well as of the other supergravity background fields.
| 7.056032
| 6.107428
| 7.391752
| 6.070091
| 6.433031
| 6.656276
| 6.464727
| 6.617575
| 5.928313
| 8.205785
| 6.292975
| 6.348116
| 7.115513
| 6.396404
| 6.570818
| 6.227891
| 6.533482
| 6.572634
| 6.290051
| 7.169086
| 6.094983
|
1203.6343
|
Nakwoo Kim
|
Hyojoong Kim, Nakwoo Kim, Jung Hun Lee
|
One-loop corrections to holographic Wilson loop in AdS4xCP3
|
14pages, 1 fig. v3. Major revision. Due to an error in previous
version, the calculation is largely re-done
| null |
10.3938/jkps.61.713
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is
reduced to ordinary matrix integrals via localization technique. It is easy to
check that the vacuum expectation value of 1/2 BPS Wilson loops at leading
order in planar limit agrees with the regularized classical string action, via
AdS/CFT. Then the subleading terms in principle can be calculated by treating
the string theory semi-classically. In this article we calculate the one-loop
determinant for fluctuation modes of holographic Wilson loop in the dual
geometry AdS4xCP3. The fermionic normal mode frequencies are expressed in terms
of the hypergeometric function, and we compute the one-loop effective action
numerically. The discrepancy with localization formula is due to the zero mode
normalization constant, which is yet to be determined.
|
[
{
"created": "Wed, 28 Mar 2012 19:18:30 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2012 22:03:35 GMT",
"version": "v2"
},
{
"created": "Sun, 13 May 2012 01:37:23 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Kim",
"Hyojoong",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Jung Hun",
""
]
] |
The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is reduced to ordinary matrix integrals via localization technique. It is easy to check that the vacuum expectation value of 1/2 BPS Wilson loops at leading order in planar limit agrees with the regularized classical string action, via AdS/CFT. Then the subleading terms in principle can be calculated by treating the string theory semi-classically. In this article we calculate the one-loop determinant for fluctuation modes of holographic Wilson loop in the dual geometry AdS4xCP3. The fermionic normal mode frequencies are expressed in terms of the hypergeometric function, and we compute the one-loop effective action numerically. The discrepancy with localization formula is due to the zero mode normalization constant, which is yet to be determined.
| 9.740578
| 7.977789
| 11.051622
| 8.068557
| 8.082139
| 8.425755
| 7.974423
| 8.496987
| 8.729495
| 12.139574
| 8.261787
| 8.6216
| 9.704064
| 8.744886
| 8.472796
| 8.710067
| 8.527122
| 8.429733
| 8.698289
| 9.966746
| 8.48807
|
hep-th/0310263
|
N. E. J. Bjerrum-Bohr
|
N. E. J. Bjerrum-Bohr
|
Quantum gravity at a large number of dimensions
|
18 pages, 23 figures (75 files), format RevTex4, typos corrected,
references added
|
Nucl.Phys. B684 (2004) 209-234
|
10.1016/j.nuclphysb.2004.02.012
| null |
hep-th gr-qc hep-ph
| null |
We consider the large-$D$ limit of Einstein gravity. It is observed that a
consistent leading large-$D$ graph limit exists, and that it is built up by a
subclass of planar diagrams. The graphs in the effective field theory extension
of Einstein gravity are investigated in the same context, and it is seen that
an effective field theory extension of the basic Einstein-Hilbert theory will
not upset the latter leading large-$D$ graph limit, {\it i.e.}, the same
subclass of planar diagrams will dominate at large-$D$ in the effective field
theory. The effective field theory description of large-$D$ quantum gravity
limit will be renormalizable, and the resulting theory will thus be completely
well defined up to the Planck scale at $\sim 10^{19}$ GeV. The $(\frac1D)$
expansion in gravity is compared to the successful $(\frac1N)$ expansion in
gauge theory (the planar diagram limit), and dissimilarities and parallels of
the two expansions are discussed. We consider the expansion of the effective
field theory terms and we make some remarks on explicit calculations of
$n$-point functions.
|
[
{
"created": "Tue, 28 Oct 2003 20:20:40 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2003 14:53:21 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
]
] |
We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of Einstein gravity are investigated in the same context, and it is seen that an effective field theory extension of the basic Einstein-Hilbert theory will not upset the latter leading large-$D$ graph limit, {\it i.e.}, the same subclass of planar diagrams will dominate at large-$D$ in the effective field theory. The effective field theory description of large-$D$ quantum gravity limit will be renormalizable, and the resulting theory will thus be completely well defined up to the Planck scale at $\sim 10^{19}$ GeV. The $(\frac1D)$ expansion in gravity is compared to the successful $(\frac1N)$ expansion in gauge theory (the planar diagram limit), and dissimilarities and parallels of the two expansions are discussed. We consider the expansion of the effective field theory terms and we make some remarks on explicit calculations of $n$-point functions.
| 10.094892
| 10.173909
| 10.218501
| 9.603803
| 10.142529
| 9.876663
| 9.914929
| 10.08545
| 9.878356
| 10.587275
| 9.948824
| 9.572635
| 9.861296
| 9.816323
| 9.556474
| 9.952083
| 9.774652
| 9.543587
| 9.709083
| 9.843237
| 9.631336
|
hep-th/9909146
|
Yuji Sugawara
|
Yuji Sugawara
|
Topological String on AdS_3 x N
|
24 pages, typos corrected, the final version to be published in Nucl.
Phys. B
|
Nucl.Phys. B576 (2000) 265-284
|
10.1016/S0550-3213(00)00075-4
|
UT-859
|
hep-th
| null |
We study the topologically twisted string theory on the general back-ground
$AdS_3\times {\cal N}$ which is compatible with the world-sheet N=2
superconformal symmetry and is extensively discussed in the recent works
(hep-th/9904024, hep-th/9904040). After summarizing the algebraic structure of
the world-sheet topological theory, we show that the space-time (boundary)
conformal theory should be also topological. We directly construct the
space-time topological conformal algebra (twisted N=2 superconformal algebra)
from the degrees of freedom in the world-sheet topological theory. Firstly, we
work on the world-sheet of the string propagating near boundary, in which we
can safely make use of the Wakimoto free field representation. Secondly, we
present a more rigid formulation of space-time topological conformal algebra
which is still valid far from the boundary along the line of (hep-th/9903219).
We also discuss about the relation between this space-time topological theory
and the twisted version of the space-time N=2 superconformal field theory given
in (hep-th/9904024, hep-th/9904040).
|
[
{
"created": "Tue, 21 Sep 1999 13:24:19 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Sep 1999 07:16:31 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Feb 2000 05:43:06 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Sugawara",
"Yuji",
""
]
] |
We study the topologically twisted string theory on the general back-ground $AdS_3\times {\cal N}$ which is compatible with the world-sheet N=2 superconformal symmetry and is extensively discussed in the recent works (hep-th/9904024, hep-th/9904040). After summarizing the algebraic structure of the world-sheet topological theory, we show that the space-time (boundary) conformal theory should be also topological. We directly construct the space-time topological conformal algebra (twisted N=2 superconformal algebra) from the degrees of freedom in the world-sheet topological theory. Firstly, we work on the world-sheet of the string propagating near boundary, in which we can safely make use of the Wakimoto free field representation. Secondly, we present a more rigid formulation of space-time topological conformal algebra which is still valid far from the boundary along the line of (hep-th/9903219). We also discuss about the relation between this space-time topological theory and the twisted version of the space-time N=2 superconformal field theory given in (hep-th/9904024, hep-th/9904040).
| 6.940073
| 6.639752
| 7.965157
| 6.649704
| 7.219026
| 7.302021
| 7.037287
| 6.725668
| 6.786143
| 7.767675
| 6.456799
| 6.529221
| 7.161457
| 6.687576
| 6.82753
| 6.687562
| 6.913627
| 6.753742
| 6.731178
| 7.120182
| 6.470119
|
1707.01739
|
Gregory Gabadadze
|
Gregory Gabadadze
|
A Scale-up of Lambda_3
|
21 pages; v2: comments on certain boundary terms, as well as one on a
parameter space, are added; v3 references and minor comments added, typos in
two formulas corrected
|
Phys. Rev. D 96, 084018 (2017)
|
10.1103/PhysRevD.96.084018
|
NYU-TH-05/18/17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Pure massive gravity is strongly coupled at a certain low scale, known as
Lambda_3. I show that the theory can be embedded into another one, with new
light degrees of freedom, to increase the strong scale to a significantly
larger value. Certain universal aspects of the proposed mechanism are
discussed, notably that the coupling of the longitudinal mode to a
stress-tensor is suppressed, thus making the linear theory consistent with the
fifth-force exclusion. An example of the embedding theory studied in detail is
5D AdS massive gravity, with a large cosmological constant. In this example the
4D strong scale can be increased by 19 orders of magnitude. Holographic duality
then suggests that the strong scale of the 4D massive gravity can be increased
by coupling it to a 4D non-local CFT, endowed with a UV cutoff; however, the 5D
classical gravity picture appears to be more tractable.
|
[
{
"created": "Thu, 6 Jul 2017 12:03:01 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jul 2017 16:35:49 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Aug 2017 16:28:10 GMT",
"version": "v3"
}
] |
2017-10-11
|
[
[
"Gabadadze",
"Gregory",
""
]
] |
Pure massive gravity is strongly coupled at a certain low scale, known as Lambda_3. I show that the theory can be embedded into another one, with new light degrees of freedom, to increase the strong scale to a significantly larger value. Certain universal aspects of the proposed mechanism are discussed, notably that the coupling of the longitudinal mode to a stress-tensor is suppressed, thus making the linear theory consistent with the fifth-force exclusion. An example of the embedding theory studied in detail is 5D AdS massive gravity, with a large cosmological constant. In this example the 4D strong scale can be increased by 19 orders of magnitude. Holographic duality then suggests that the strong scale of the 4D massive gravity can be increased by coupling it to a 4D non-local CFT, endowed with a UV cutoff; however, the 5D classical gravity picture appears to be more tractable.
| 13.35993
| 12.934972
| 13.952289
| 12.828753
| 13.886718
| 13.447735
| 13.582074
| 13.269182
| 12.925049
| 13.076962
| 12.556879
| 12.626748
| 13.126076
| 12.942542
| 12.513965
| 12.574027
| 12.592713
| 12.451577
| 12.638313
| 13.110121
| 12.460721
|
1605.04888
|
Fedor Levkovich-Maslyuk
|
Andrea Cavagli\`a, Nikolay Gromov, Fedor Levkovich-Maslyuk
|
On the Exact Interpolating Function in ABJ Theory
|
13 pages, 1 figure
| null |
10.1007/JHEP12(2016)086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the recent indications of integrability in the planar ABJ model, we
conjecture an exact expression for the interpolating function
h(\lambda_1,\lambda_2) in this theory. Our conjecture is based on the
observation that the integrability structure of the ABJM theory given by its
Quantum Spectral Curve is very rigid and does not allow for a simple consistent
modification. Under this assumption, we revised the previous comparison of
localization results and exact all loop integrability calculations done for the
ABJM theory by one of the authors and Grigory Sizov, fixing
h(\lambda_1,\lambda_2). We checked our conjecture against various weak coupling
expansions, at strong coupling and also demonstrated its invariance under the
Seiberg-like duality. This match also gives further support to the
integrability of the model. If our conjecture is correct, it extends all the
available integrability results in the ABJM model to the ABJ model.
|
[
{
"created": "Mon, 16 May 2016 19:50:22 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Cavaglià",
"Andrea",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Levkovich-Maslyuk",
"Fedor",
""
]
] |
Based on the recent indications of integrability in the planar ABJ model, we conjecture an exact expression for the interpolating function h(\lambda_1,\lambda_2) in this theory. Our conjecture is based on the observation that the integrability structure of the ABJM theory given by its Quantum Spectral Curve is very rigid and does not allow for a simple consistent modification. Under this assumption, we revised the previous comparison of localization results and exact all loop integrability calculations done for the ABJM theory by one of the authors and Grigory Sizov, fixing h(\lambda_1,\lambda_2). We checked our conjecture against various weak coupling expansions, at strong coupling and also demonstrated its invariance under the Seiberg-like duality. This match also gives further support to the integrability of the model. If our conjecture is correct, it extends all the available integrability results in the ABJM model to the ABJ model.
| 7.744659
| 7.896165
| 9.134672
| 7.641147
| 7.979684
| 7.787339
| 7.859706
| 7.616999
| 7.630665
| 9.581599
| 7.595391
| 7.504941
| 8.22266
| 7.442347
| 7.186631
| 7.426268
| 7.355598
| 7.287251
| 7.644156
| 8.260804
| 7.437202
|
hep-th/9410099
|
Rainer Dick
|
Rainer Dick
|
Half-Differentials and Fermion Propagators
|
22 pages, Latex, IASSNS-HEP-94/83
|
Rev.Math.Phys. 7 (1995) 689-708
|
10.1142/S0129055X9500027X
| null |
hep-th
| null |
From a geometric point of view, massless spinors in $3+1$ dimensions are
composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$,
where the weights are defined with respect to diffeomorphisms of a sphere in
momentum space. The Weyl equation thus appears as a consequence of the
transformation behavior of local sections of half--canonical bundles under a
change of charts. As a consequence, it is possible to impose covariant
constraints on spinors of negative (positive) helicity in terms of
(anti--)holomorphy conditions. Furthermore, the identification with
half--differentials is employed to determine possible extensions of fermion
propagators compatible with Lorentz covariance. This paper includes in
particular the full derivation of the primary correlators needed in order to
determine the fermion correlators.
|
[
{
"created": "Thu, 13 Oct 1994 23:58:46 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Dick",
"Rainer",
""
]
] |
From a geometric point of view, massless spinors in $3+1$ dimensions are composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$, where the weights are defined with respect to diffeomorphisms of a sphere in momentum space. The Weyl equation thus appears as a consequence of the transformation behavior of local sections of half--canonical bundles under a change of charts. As a consequence, it is possible to impose covariant constraints on spinors of negative (positive) helicity in terms of (anti--)holomorphy conditions. Furthermore, the identification with half--differentials is employed to determine possible extensions of fermion propagators compatible with Lorentz covariance. This paper includes in particular the full derivation of the primary correlators needed in order to determine the fermion correlators.
| 10.300137
| 11.802497
| 10.371246
| 10.166689
| 10.408123
| 11.660336
| 10.674357
| 10.487416
| 10.942909
| 10.70123
| 10.556248
| 9.395623
| 9.734035
| 9.262828
| 9.722763
| 9.624095
| 9.783809
| 9.960292
| 9.580525
| 9.802988
| 9.708427
|
2202.06885
|
Antonio Amariti
|
Antonio Amariti and Simone Rota
|
3d $\mathcal{N}=2$ SO/USp adjoint SQCD: s-confinement and exact
identites
|
39 pages, 5 figures
| null |
10.1016/j.nuclphysb.2022.116068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study 3d $\mathcal{N}=2$ SQCD with symplectic and orthogonal gauge groups
and adjoint matter. For $USp(2n)$ with two fundamentals and $SO(N)$ with one
vector these models have been recently shown to s-confine. Here we corroborate
the validity of this proposal by relating it to the confinement of $USp(2n)$
with four fundamentals and an antisymmetric tensor, using exact mathematical
results coming from the analysis of the partition function on the squashed
three-sphere. Our analysis allows us to conjecture new s-confining theories for
a higher number of fundamentals and vectors, in presence of linear monopole
superpotentials. We then prove the new dualities through a chain of adjoint
deconfinements and s-confining dualities.
|
[
{
"created": "Mon, 14 Feb 2022 17:19:43 GMT",
"version": "v1"
}
] |
2023-01-25
|
[
[
"Amariti",
"Antonio",
""
],
[
"Rota",
"Simone",
""
]
] |
We study 3d $\mathcal{N}=2$ SQCD with symplectic and orthogonal gauge groups and adjoint matter. For $USp(2n)$ with two fundamentals and $SO(N)$ with one vector these models have been recently shown to s-confine. Here we corroborate the validity of this proposal by relating it to the confinement of $USp(2n)$ with four fundamentals and an antisymmetric tensor, using exact mathematical results coming from the analysis of the partition function on the squashed three-sphere. Our analysis allows us to conjecture new s-confining theories for a higher number of fundamentals and vectors, in presence of linear monopole superpotentials. We then prove the new dualities through a chain of adjoint deconfinements and s-confining dualities.
| 8.177487
| 8.416483
| 10.053403
| 7.411854
| 8.01749
| 8.293059
| 7.689051
| 7.692314
| 7.833743
| 10.824635
| 7.369476
| 7.713207
| 8.529729
| 7.803133
| 7.979424
| 8.042697
| 7.805301
| 8.090288
| 7.934656
| 8.384239
| 7.729804
|
2103.00811
|
Min-Seok Seo
|
Min-Seok Seo
|
Dilaton stabilization in KKLT revisited
|
18 pages
|
Nucl. Phys. B 968 (2021) 115452
|
10.1016/j.nuclphysb.2021.115452
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the condition for the dilaton stabilization in Type IIB flux
compactifications consistent with the KKLT scenario. Since the
Gukov-Vafa-Witten superpotential depends linearly on the dilaton, the dilaton
mass squared is given by a sum of the gravitino mass squared and additional
terms determined by the complex structure moduli stabilization. If the dilaton
mass is not much enhanced from the gravitino mass, the mass mixing with the
K\"ahler modulus in the presence of the non-perturbative effect generates the
saddle point at the supersymmetric field values, hence the potential becomes
unstable. When the complex structure moduli other than the conifold modulus are
neglected, the saddle point problem arises over the controllable parameter
space. We also point out that the dilaton stabilization condition is equivalent
to the condition on the NS 3-form fluxes, $|H_{(1,2)}| > | H_{(0,3)}|$.
|
[
{
"created": "Mon, 1 Mar 2021 07:20:14 GMT",
"version": "v1"
},
{
"created": "Thu, 27 May 2021 00:06:18 GMT",
"version": "v2"
}
] |
2021-05-28
|
[
[
"Seo",
"Min-Seok",
""
]
] |
We study the condition for the dilaton stabilization in Type IIB flux compactifications consistent with the KKLT scenario. Since the Gukov-Vafa-Witten superpotential depends linearly on the dilaton, the dilaton mass squared is given by a sum of the gravitino mass squared and additional terms determined by the complex structure moduli stabilization. If the dilaton mass is not much enhanced from the gravitino mass, the mass mixing with the K\"ahler modulus in the presence of the non-perturbative effect generates the saddle point at the supersymmetric field values, hence the potential becomes unstable. When the complex structure moduli other than the conifold modulus are neglected, the saddle point problem arises over the controllable parameter space. We also point out that the dilaton stabilization condition is equivalent to the condition on the NS 3-form fluxes, $|H_{(1,2)}| > | H_{(0,3)}|$.
| 7.494479
| 7.696706
| 7.73023
| 7.087453
| 7.982293
| 7.963668
| 7.531313
| 7.697606
| 7.055394
| 7.806182
| 7.261075
| 7.281548
| 7.087141
| 6.960767
| 6.997476
| 7.20235
| 7.058322
| 7.251827
| 6.954307
| 6.900704
| 6.994411
|
hep-th/0408064
|
Ashoke Sen
|
Ashoke Sen
|
Symmetries, Conserved Charges and (Black) Holes in Two Dimensional
String Theory
|
LaTeX file, 60 pages
|
JHEP 0412:053,2004
|
10.1088/1126-6708/2004/12/053
| null |
hep-th
| null |
Two dimensional string theory is known to have an infinite dimensional
symmetry, both in the continuum formalism as well as in the matrix model
formalism. We develop a systematic procedure for computing the conserved
charges associated with these symmetries for any configuration of D-branes in
the continuum description. We express these conserved charges in terms of the
boundary state associated with the D-brane, and also in terms of the asymptotic
field configurations produced by this D-brane. Comparison of the conserved
charges computed in the continuum description with those computed in the matrix
model description facilitates identification of the states between these two
formalisms. Using this we put constraints on the continuum description of the
hole states in the matrix model, and matrix model description of the black
holes solutions of the continuum theory. We also discuss possible
generalization of the construction of the conserved charges to the case of
D-branes in critical string theory.
|
[
{
"created": "Mon, 9 Aug 2004 06:53:00 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
Two dimensional string theory is known to have an infinite dimensional symmetry, both in the continuum formalism as well as in the matrix model formalism. We develop a systematic procedure for computing the conserved charges associated with these symmetries for any configuration of D-branes in the continuum description. We express these conserved charges in terms of the boundary state associated with the D-brane, and also in terms of the asymptotic field configurations produced by this D-brane. Comparison of the conserved charges computed in the continuum description with those computed in the matrix model description facilitates identification of the states between these two formalisms. Using this we put constraints on the continuum description of the hole states in the matrix model, and matrix model description of the black holes solutions of the continuum theory. We also discuss possible generalization of the construction of the conserved charges to the case of D-branes in critical string theory.
| 6.780151
| 6.608948
| 7.25309
| 6.014533
| 6.304086
| 6.515661
| 6.538649
| 6.209617
| 6.292874
| 7.590849
| 6.051726
| 6.206151
| 6.642193
| 6.366489
| 6.200492
| 6.413182
| 6.25476
| 6.295838
| 6.184888
| 6.580455
| 6.308938
|
hep-th/9411139
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov
|
More about the $j=0$ relativistic oscillator
|
5pp. LateX file. Talk at VIII Reuni\'on Anual de DPC, Socied\'ad
Mexicana de F\'{\i}sica, June 1994
|
Rev.Mex.Fis.42:172-178,1996
| null |
Preprint EFUAZ FT-94-04-REV (Zacatecas University, M\'exico)
|
hep-th
| null |
I start from the Bargmann-Wigner equations and introduce an interaction in
the form which is similar to a $j=1/2$ case [M. Moshinsky & A. Szczepaniak,
{\it J. Phys. A}{\bf 22} (1989) L817]. By means of the expansion of the wave
function in the complete set of $\gamma$- matrices one can obtain the equations
for a system which could be named as the $j=0$ Kemmer-Dirac oscillator.
The equations for the components $\phi_1$ and $\phi_2$ are different from the
ones obtained by Y. Nedjadi & R. Barrett for the $j=0$ Duffin-Kemmer-Petiau
oscillator [{\it J. Phys. A} {\bf 27} (1994) 4301]. This fact leads to the
dissimilar energy spectrum of the $j=0$ relativistic oscillator.
|
[
{
"created": "Thu, 17 Nov 1994 21:05:49 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Dvoeglazov",
"Valeri V.",
""
]
] |
I start from the Bargmann-Wigner equations and introduce an interaction in the form which is similar to a $j=1/2$ case [M. Moshinsky & A. Szczepaniak, {\it J. Phys. A}{\bf 22} (1989) L817]. By means of the expansion of the wave function in the complete set of $\gamma$- matrices one can obtain the equations for a system which could be named as the $j=0$ Kemmer-Dirac oscillator. The equations for the components $\phi_1$ and $\phi_2$ are different from the ones obtained by Y. Nedjadi & R. Barrett for the $j=0$ Duffin-Kemmer-Petiau oscillator [{\it J. Phys. A} {\bf 27} (1994) 4301]. This fact leads to the dissimilar energy spectrum of the $j=0$ relativistic oscillator.
| 6.335123
| 7.705138
| 7.021887
| 6.228855
| 6.984439
| 7.330775
| 7.187772
| 6.890845
| 6.580404
| 7.769987
| 6.258587
| 5.921279
| 6.07494
| 5.966656
| 6.292347
| 6.052196
| 6.153008
| 6.027269
| 5.973876
| 6.175675
| 5.928505
|
1305.4582
|
R Loll
|
S. Jordan, R. Loll
|
Causal Dynamical Triangulations without Preferred Foliation
|
12 pages, 8 figures
| null |
10.1016/j.physletb.2013.06.007
| null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a generalized version of the Causal Dynamical Triangulations
(CDT) formulation of quantum gravity, in which the regularized, triangulated
path integral histories retain their causal properties, but do not have a
preferred proper-time foliation. An extensive numerical study of the associated
nonperturbative path integral in 2+1 dimensions shows that it can nevertheless
reproduce the emergence of an extended de Sitter universe on large scales, a
key feature of CDT quantum gravity. This suggests that the preferred foliation
normally used in CDT is not a crucial (albeit convenient) part of its
background structure.
|
[
{
"created": "Mon, 20 May 2013 17:26:43 GMT",
"version": "v1"
}
] |
2013-08-28
|
[
[
"Jordan",
"S.",
""
],
[
"Loll",
"R.",
""
]
] |
We introduce a generalized version of the Causal Dynamical Triangulations (CDT) formulation of quantum gravity, in which the regularized, triangulated path integral histories retain their causal properties, but do not have a preferred proper-time foliation. An extensive numerical study of the associated nonperturbative path integral in 2+1 dimensions shows that it can nevertheless reproduce the emergence of an extended de Sitter universe on large scales, a key feature of CDT quantum gravity. This suggests that the preferred foliation normally used in CDT is not a crucial (albeit convenient) part of its background structure.
| 7.139863
| 9.261196
| 8.067791
| 7.885952
| 8.193732
| 7.572919
| 8.794645
| 8.249731
| 7.678808
| 8.388478
| 7.731277
| 7.225359
| 7.488067
| 7.214335
| 7.570096
| 7.16869
| 7.357516
| 7.035707
| 7.101217
| 7.272388
| 6.937032
|
2103.17121
|
Suvendu Giri
|
Souvik Banerjee, Ulf Danielsson, Suvendu Giri
|
Curing with hemlock: escaping the swampland using instabilities from
string theory
|
This essay received an Honorable Mention in the 2021 Essay
Competition of the Gravity Research Foundation
|
International Journal of Modern Physics D 2021 30:14
|
10.1142/S0218271821420293
|
UUITP-15/21
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this essay we will take a wonderful ride on a dark bubble with strings
attached, which carries our universe out of the swampland and makes it
realizable in the landscape of string theory. To find the way to the landscape,
we make use of apparently hostile corners of the swampland and their
instabilities.
|
[
{
"created": "Wed, 31 Mar 2021 14:44:58 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 2021 10:29:33 GMT",
"version": "v2"
}
] |
2022-01-11
|
[
[
"Banerjee",
"Souvik",
""
],
[
"Danielsson",
"Ulf",
""
],
[
"Giri",
"Suvendu",
""
]
] |
In this essay we will take a wonderful ride on a dark bubble with strings attached, which carries our universe out of the swampland and makes it realizable in the landscape of string theory. To find the way to the landscape, we make use of apparently hostile corners of the swampland and their instabilities.
| 24.97978
| 19.227362
| 20.567898
| 18.095974
| 19.290516
| 18.440281
| 19.115095
| 17.464031
| 20.218346
| 21.32299
| 18.406792
| 19.956808
| 19.142317
| 19.347654
| 18.673344
| 18.699041
| 19.012587
| 18.573875
| 19.164318
| 19.542627
| 19.621326
|
hep-th/0210252
|
Sohrab Rahvar
|
M.R. Setare and R. Mansouri
|
Holographic Thermodynamic on the Brane in Topological
Reissner-Nordstr\"om de Sitter Space
|
8 pages
|
Int.J.Mod.Phys. A18 (2003) 4443-4450
|
10.1142/S0217751X0301512X
| null |
hep-th
| null |
We consider the brane universe in the bulk background of the topological
Reissner-Nordstr\"om de Sitter black holes. We show that the thermodynamic
quantities (including entropy) of the dual CFT take usual special forms
expressed in terms of Hubble parameter and its time derivative at the moment,
when the brane crosses the black hole horizon or the cosmological horizon. We
obtain the generalized Cardy-Verlinde formula for the CFT with an charge and
cosmological constant, for any values of the curvature parameter $k$ in the
Friedmann equations.
|
[
{
"created": "Sat, 26 Oct 2002 14:26:32 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Setare",
"M. R.",
""
],
[
"Mansouri",
"R.",
""
]
] |
We consider the brane universe in the bulk background of the topological Reissner-Nordstr\"om de Sitter black holes. We show that the thermodynamic quantities (including entropy) of the dual CFT take usual special forms expressed in terms of Hubble parameter and its time derivative at the moment, when the brane crosses the black hole horizon or the cosmological horizon. We obtain the generalized Cardy-Verlinde formula for the CFT with an charge and cosmological constant, for any values of the curvature parameter $k$ in the Friedmann equations.
| 9.875135
| 7.473615
| 8.837444
| 7.864406
| 7.532429
| 7.709599
| 7.836693
| 7.725459
| 7.916759
| 9.653359
| 7.941151
| 8.46353
| 8.834866
| 8.378976
| 8.520692
| 8.427849
| 8.430399
| 8.239865
| 8.438277
| 8.877986
| 8.564947
|
2407.19980
|
Luke Detraux
|
Luke A. Detraux, Alonzo R. Diaz Avalos, Alon E. Faraggi, and Benjamin
Percival
|
Vacuum Energy of Non-Supersymmetric $\mathbf{\tilde{S}}$ Heterotic
String Models
|
24 pages, 3 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the free fermionic formulation of the heterotic-string in four
dimensions to study the vacuum structure and energy of non-supersymmetric
tachyon free models that correspond to compactifications of tachyonic vacua of
the ten dimensional heterotic-string. We explore the class of heterotic
$SO(10)$ non-supersymmetric models constructed from the $\tilde{S}$-model in
the Free Fermionic Formalism, and investigate the dependence of the potential
on the geometric moduli. This paper will explore a sample of $ 10^{9}$ string
vacua to find the frequency of viable models, classifying these vacua by the
following fertility criteria: tachyon presence; number of spinorial
$\boldsymbol{16/\overline{16}}$ representations; vectorial $\boldsymbol{10}$
states; Top Quark Mass Coupling compatibility. Of these we find those that
mimic supersymmetric models with equal number of bosons and fermions at the
massless level - $a_{00} = 0$. Tachyon free models occur with a frequency of
$5.309\times10^{-3}$. Furthermore, models that fulfil the rest of the
phenomenological fertility conditions and the additional condition on $a_{00}$
occur with probability $4.0 \times 10^{-9}$ We analyse the partition functions
and study the moduli dependence of such models, finding that almost all fertile
models have finite, positive potential at the Free Fermionic Point, with $2$
out of $84$ of the fertile cores having negative, finite potential. We
demonstratate that the Free Fermionic Point is not necessarily a minimum in the
potential. This work provides further evidence that supersymmetry may not be a
necessary ingredient of phenomenological models, recreating many of the
desirable features of such models without employing supersymmetry.
|
[
{
"created": "Mon, 29 Jul 2024 13:12:11 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Aug 2024 17:41:35 GMT",
"version": "v2"
}
] |
2024-08-08
|
[
[
"Detraux",
"Luke A.",
""
],
[
"Avalos",
"Alonzo R. Diaz",
""
],
[
"Faraggi",
"Alon E.",
""
],
[
"Percival",
"Benjamin",
""
]
] |
We use the free fermionic formulation of the heterotic-string in four dimensions to study the vacuum structure and energy of non-supersymmetric tachyon free models that correspond to compactifications of tachyonic vacua of the ten dimensional heterotic-string. We explore the class of heterotic $SO(10)$ non-supersymmetric models constructed from the $\tilde{S}$-model in the Free Fermionic Formalism, and investigate the dependence of the potential on the geometric moduli. This paper will explore a sample of $ 10^{9}$ string vacua to find the frequency of viable models, classifying these vacua by the following fertility criteria: tachyon presence; number of spinorial $\boldsymbol{16/\overline{16}}$ representations; vectorial $\boldsymbol{10}$ states; Top Quark Mass Coupling compatibility. Of these we find those that mimic supersymmetric models with equal number of bosons and fermions at the massless level - $a_{00} = 0$. Tachyon free models occur with a frequency of $5.309\times10^{-3}$. Furthermore, models that fulfil the rest of the phenomenological fertility conditions and the additional condition on $a_{00}$ occur with probability $4.0 \times 10^{-9}$ We analyse the partition functions and study the moduli dependence of such models, finding that almost all fertile models have finite, positive potential at the Free Fermionic Point, with $2$ out of $84$ of the fertile cores having negative, finite potential. We demonstratate that the Free Fermionic Point is not necessarily a minimum in the potential. This work provides further evidence that supersymmetry may not be a necessary ingredient of phenomenological models, recreating many of the desirable features of such models without employing supersymmetry.
| 11.774322
| 10.59729
| 12.116907
| 11.034304
| 11.147085
| 11.629305
| 11.308202
| 11.017226
| 10.685607
| 12.076548
| 10.932913
| 11.098291
| 11.443235
| 11.127314
| 11.504602
| 11.174109
| 11.336344
| 11.174916
| 11.262142
| 11.571294
| 11.156602
|
hep-th/0608020
|
Qing-hai Wang
|
Gerald V. Dunne and Qing-hai Wang
|
Multidimensional Worldline Instantons
|
22 pages, 13 figures
|
Phys.Rev.D74:065015,2006
|
10.1103/PhysRevD.74.065015
| null |
hep-th
| null |
We extend the worldline instanton technique to compute the vacuum pair
production rate for spatially inhomogeneous electric background fields, with
the spatial inhomogeneity being genuinely two or three dimensional, both for
the magnitude and direction of the electric field. Other techniques, such as
WKB, have not been applied to such higher dimensional problems. Our method
exploits the instanton dominance of the worldline path integral expression for
the effective action.
|
[
{
"created": "Wed, 2 Aug 2006 20:33:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dunne",
"Gerald V.",
""
],
[
"Wang",
"Qing-hai",
""
]
] |
We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude and direction of the electric field. Other techniques, such as WKB, have not been applied to such higher dimensional problems. Our method exploits the instanton dominance of the worldline path integral expression for the effective action.
| 11.266367
| 11.292133
| 12.366519
| 10.030562
| 10.837285
| 10.086707
| 11.340866
| 10.218738
| 10.172483
| 11.984276
| 10.569754
| 10.982438
| 10.876645
| 10.399788
| 10.838659
| 10.811833
| 11.207574
| 10.536982
| 10.625043
| 10.730384
| 10.380212
|
0705.2234
|
Justin F. Vazquez-Poritz
|
James T. Liu, H. Lu, C.N. Pope, Justin F. Vazquez-Poritz
|
New supersymmetric solutions of N=2, D=5 gauged supergravity with
hyperscalars
|
Latex 3 times, 42 pages
|
JHEP 0710:093,2007
|
10.1088/1126-6708/2007/10/093
|
MCTP-07-13, MIFP-07-14
|
hep-th
| null |
We construct new supersymmetric solutions, including AdS bubbles, in an N=2
truncation of five-dimensional N=8 gauged supergravity. This particular
truncation is given by N=2 gauged supergravity coupled to two vector multiples
and three incomplete hypermultiplets, and was originally investigated in the
context of obtaining regular AdS bubble geometries with multiple active
R-charges. We focus on cohomogeneity-one solutions corresponding to objects
with two equal angular momenta and up to three independent R-charges.
Curiously, we find a new set of zero and negative mass solitons asymptotic to
AdS_5/Z_k, for k \ge 3, which are everywhere regular without closed timelike
curves.
|
[
{
"created": "Wed, 16 May 2007 17:31:12 GMT",
"version": "v1"
}
] |
2009-10-07
|
[
[
"Liu",
"James T.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Vazquez-Poritz",
"Justin F.",
""
]
] |
We construct new supersymmetric solutions, including AdS bubbles, in an N=2 truncation of five-dimensional N=8 gauged supergravity. This particular truncation is given by N=2 gauged supergravity coupled to two vector multiples and three incomplete hypermultiplets, and was originally investigated in the context of obtaining regular AdS bubble geometries with multiple active R-charges. We focus on cohomogeneity-one solutions corresponding to objects with two equal angular momenta and up to three independent R-charges. Curiously, we find a new set of zero and negative mass solitons asymptotic to AdS_5/Z_k, for k \ge 3, which are everywhere regular without closed timelike curves.
| 10.488236
| 9.919084
| 12.097575
| 9.470129
| 9.771276
| 10.339314
| 10.361625
| 9.950873
| 9.395434
| 12.993223
| 9.808283
| 10.190547
| 10.649181
| 9.953573
| 10.358835
| 9.961574
| 9.812642
| 10.219995
| 10.167796
| 10.315831
| 9.939489
|
1307.4464
|
P.A.G. Pisani
|
H. Falomir, S.A. Franchino Vi\~nas, P.A.G. Pisani, F. Vega
|
Boundaries in the Moyal plane
|
19 pages, 6 figures. Replaced by published version
|
JHEP 1312 (2013) 024
|
10.1007/JHEP12(2013)024
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the oscillations of a scalar field on a noncommutative disc
implementing the boundary as the limit case of an interaction with an
appropriately chosen confining background. The space of quantum fluctuations of
the field is finite dimensional and displays the rotational and parity symmetry
of the disc. We perform a numerical evaluation of the (finite) Casimir energy
and obtain similar results as for the fuzzy sphere and torus.
|
[
{
"created": "Wed, 17 Jul 2013 01:38:41 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Dec 2013 22:45:33 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Falomir",
"H.",
""
],
[
"Viñas",
"S. A. Franchino",
""
],
[
"Pisani",
"P. A. G.",
""
],
[
"Vega",
"F.",
""
]
] |
We study the oscillations of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. The space of quantum fluctuations of the field is finite dimensional and displays the rotational and parity symmetry of the disc. We perform a numerical evaluation of the (finite) Casimir energy and obtain similar results as for the fuzzy sphere and torus.
| 14.215964
| 14.132206
| 16.613407
| 12.921117
| 14.417895
| 13.173494
| 14.296967
| 14.246765
| 13.583181
| 15.721856
| 13.803106
| 12.863018
| 13.693457
| 13.278851
| 13.324712
| 13.666796
| 13.943828
| 12.851136
| 12.533881
| 14.408695
| 13.505049
|
hep-th/0103169
|
Oleg Lunin
|
Oleg Lunin, Samir D. Mathur
|
Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
|
39 pages, Latex, typos corrected
|
Commun.Math.Phys. 227 (2002) 385-419
|
10.1007/s002200200638
|
OHSTPY-HEP-T-01-005
|
hep-th
| null |
The D1-D5 system is believed to have an `orbifold point' in its moduli space
where its low energy theory is a N=4 supersymmetric sigma model with target
space M^N/S^N, where M is T^4 or K3. We study correlation functions of chiral
operators in CFTs arising from such a theory. We construct a basic class of
chiral operators from twist fields of the symmetric group and the generators of
the superconformal algebra. We find explicitly the 3-point functions for these
chiral fields at large N; these expressions are `universal' in that they are
independent of the choice of M. We observe that the result is a significantly
simpler expression than the corresponding expression for the bosonic theory
based on the same orbifold target space.
|
[
{
"created": "Tue, 20 Mar 2001 22:54:17 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2001 19:06:51 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Lunin",
"Oleg",
""
],
[
"Mathur",
"Samir D.",
""
]
] |
The D1-D5 system is believed to have an `orbifold point' in its moduli space where its low energy theory is a N=4 supersymmetric sigma model with target space M^N/S^N, where M is T^4 or K3. We study correlation functions of chiral operators in CFTs arising from such a theory. We construct a basic class of chiral operators from twist fields of the symmetric group and the generators of the superconformal algebra. We find explicitly the 3-point functions for these chiral fields at large N; these expressions are `universal' in that they are independent of the choice of M. We observe that the result is a significantly simpler expression than the corresponding expression for the bosonic theory based on the same orbifold target space.
| 8.35083
| 7.651837
| 9.307608
| 7.590163
| 7.755972
| 7.636189
| 8.199609
| 7.381954
| 7.429474
| 9.765731
| 7.269083
| 7.408856
| 8.259065
| 7.717059
| 7.919627
| 7.662835
| 7.638269
| 7.506302
| 7.521376
| 8.099134
| 7.511976
|
hep-th/0207052
|
Pedro J. Silva
|
Garnik G. Alexanian, A.P. Balachandran and Pedro J. Silva
|
Obstruction to D-brane topology change
|
19 pages, LaTeX, 1 figure, typos corrected and references added
| null | null |
SUGP-02/7-1, SU-4252-765
|
hep-th gr-qc
| null |
A study of the relation between topology change, energy and Lie algebra
representations for fuzzy geometry in connection to $M$-theory is presented. We
encounter two different types of topology change, related to the different
features of the Lie algebra representations appearing in the matrix models of
$M$-theory. From these studies, we propose a new method of obtaining
non-commutative solutions for the non-Abelian $D$-brane action found by Myers.
This mechanism excludes one of the two topology changing processes previously
found in other non-commutative solutions of many matrix-based models in
$M$-theory i.e. in M(atrix) theory, Matrix string theory and non-Abelian
$D$-brane physics.
|
[
{
"created": "Fri, 5 Jul 2002 21:09:52 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Dec 2002 09:24:53 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alexanian",
"Garnik G.",
""
],
[
"Balachandran",
"A. P.",
""
],
[
"Silva",
"Pedro J.",
""
]
] |
A study of the relation between topology change, energy and Lie algebra representations for fuzzy geometry in connection to $M$-theory is presented. We encounter two different types of topology change, related to the different features of the Lie algebra representations appearing in the matrix models of $M$-theory. From these studies, we propose a new method of obtaining non-commutative solutions for the non-Abelian $D$-brane action found by Myers. This mechanism excludes one of the two topology changing processes previously found in other non-commutative solutions of many matrix-based models in $M$-theory i.e. in M(atrix) theory, Matrix string theory and non-Abelian $D$-brane physics.
| 11.254712
| 11.850269
| 12.042824
| 10.907299
| 11.048176
| 11.682093
| 10.662136
| 10.884306
| 10.756908
| 13.510482
| 10.889076
| 10.640028
| 11.242249
| 10.953555
| 10.415965
| 10.500912
| 10.559913
| 10.733715
| 10.887605
| 11.334844
| 10.45146
|
hep-th/9410157
|
Hanany Amihay
|
Amihay Hanany and Yaron Oz
|
c=1 discrete states correlators via W$_{1+\infty}$ constraints
|
10 pages, WIS-94/45/Oct-PH
|
Phys.Lett.B347:255-259,1995
|
10.1016/0370-2693(95)00067-U
| null |
hep-th
| null |
The discrete states of $c=1$ string theory at the self-dual radius are
associated with modes of $W_{1+\infty}$ currents and their genus zero
correlators are computed. An analogy to a recent suggestion based on the
integrable structure of the theory is found. An iterative method for deriving
the dependence of the currents on the full space of couplings is presented and
applied. The dilaton equation of the theory is derived.
|
[
{
"created": "Fri, 21 Oct 1994 10:53:30 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Hanany",
"Amihay",
""
],
[
"Oz",
"Yaron",
""
]
] |
The discrete states of $c=1$ string theory at the self-dual radius are associated with modes of $W_{1+\infty}$ currents and their genus zero correlators are computed. An analogy to a recent suggestion based on the integrable structure of the theory is found. An iterative method for deriving the dependence of the currents on the full space of couplings is presented and applied. The dilaton equation of the theory is derived.
| 14.717669
| 11.956047
| 12.866156
| 11.51382
| 10.283537
| 10.336743
| 11.002328
| 12.067351
| 11.015285
| 17.538328
| 11.424744
| 11.710886
| 14.323769
| 11.742035
| 11.385104
| 11.174286
| 11.536824
| 11.549079
| 11.46708
| 14.678418
| 11.572527
|
hep-th/9506048
|
Joe Polchinski
|
S. Chaudhuri and J. Polchinski
|
Moduli Space of CHL Strings
|
Minor typos corrected; 13 pages, LaTeX
|
Phys.Rev.D52:7168-7173,1995
|
10.1103/PhysRevD.52.7168
|
NSF-ITP-95-50
|
hep-th
| null |
We discuss an orbifold of the toroidally compactified heterotic string which
gives a global reduction of the dimension of the moduli space while preserving
the supersymmetry. This construction yields the moduli space of the first of a
series of reduced rank theories with maximal supersymmetry discovered recently
by Chaudhuri, Hockney, and Lykken. Such moduli spaces contain non-simply-laced
enhanced symmetry points in any spacetime dimension D<10. Precisely in D=4 the
set of allowed gauge groups is invariant under electric-magnetic duality,
providing further evidence for S-duality of the D=4 heterotic string.
|
[
{
"created": "Thu, 8 Jun 1995 01:56:59 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Aug 1995 21:52:24 GMT",
"version": "v2"
}
] |
2009-10-09
|
[
[
"Chaudhuri",
"S.",
""
],
[
"Polchinski",
"J.",
""
]
] |
We discuss an orbifold of the toroidally compactified heterotic string which gives a global reduction of the dimension of the moduli space while preserving the supersymmetry. This construction yields the moduli space of the first of a series of reduced rank theories with maximal supersymmetry discovered recently by Chaudhuri, Hockney, and Lykken. Such moduli spaces contain non-simply-laced enhanced symmetry points in any spacetime dimension D<10. Precisely in D=4 the set of allowed gauge groups is invariant under electric-magnetic duality, providing further evidence for S-duality of the D=4 heterotic string.
| 8.874066
| 9.000114
| 10.849694
| 8.338382
| 9.507634
| 8.771739
| 9.578516
| 8.595585
| 9.128706
| 12.020124
| 8.694639
| 8.327278
| 9.079048
| 8.327383
| 8.273959
| 8.400234
| 8.142246
| 8.421029
| 8.353216
| 8.901762
| 8.358174
|
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