id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2108.05397 | Marco Fazzi | Antonio Amariti, Marco Fazzi, Simone Rota and Alessia Segati | Conformal S-dualities from O-planes | 39 pages (1 landscape), 13 figures, 8 tables; v2: typos fixed; v3:
citations added, version published in JHEP | null | 10.1007/JHEP01(2022)116 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 4d SCFTs obtained by orientifold projections on necklace quivers
with fractional branes. The models obtained by this procedure are
$\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge
groups, bifundamental and tensorial matter. Remarkably, models that are not
dual in the unoriented case can have the same central charges and
superconformal index after the projection. The reason for this behavior rests
upon the ubiquitous presence of adjoint fields with R-charge one. We claim that
the presence of such fields is at the origin of the notion of inherited
S-duality on the models' conformal manifold.
| [
{
"created": "Wed, 11 Aug 2021 18:26:49 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2021 15:38:02 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jan 2022 17:15:07 GMT",
"version": "v3"
}
] | 2022-02-09 | [
[
"Amariti",
"Antonio",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Rota",
"Simone",
""
],
[
"Segati",
"Alessia",
""
]
] | We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes. The models obtained by this procedure are $\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge groups, bifundamental and tensorial matter. Remarkably, models that are not dual in the unoriented case can have the same central charges and superconformal index after the projection. The reason for this behavior rests upon the ubiquitous presence of adjoint fields with R-charge one. We claim that the presence of such fields is at the origin of the notion of inherited S-duality on the models' conformal manifold. |
hep-th/0211067 | A. Yu. Petrov | I.L. Buchbinder, E.A. Ivanov | Exact N=4 Supersymmetric Low-Energy Effective Action in N=4
Super-Yang-Mills Theory | LaTeX, 9 pages; Contribution to the Proceedings of the Third Sakharov
Conference in Physics (Moscow, Lebedev Physical Institute, June 24-29, 2002) | null | null | null | hep-th | null | We review a recent progress in constructing the low-energy effective action
of N=4 SYM theory. This theory is formulated in terms of N=2 harmonic
superfields corresponding to N=2 vector multiplet and hypermultiplet. Such a
formulation possesses the manifest N=2 supersymmetry and an extra hidden
on-shell supersymmetry. Exploring the hidden N=2 supersymmetry we proved that
the known non-holomorphic potentials of the form ln W ln \bar{W} can be
explicitly completed by the appropriate hypermultiplet-dependent terms to the
entire N=4 supersymmetric form. The non-logarithmic effective potentials do not
admit an N=4 completion and, hence, such potentials cannot occur in N=4
supersymmetric theory. As a result we obtain the exact N=4 supersymmetric
low-energy effective action in N=4 SYM theory.
| [
{
"created": "Fri, 8 Nov 2002 13:57:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
]
] | We review a recent progress in constructing the low-energy effective action of N=4 SYM theory. This theory is formulated in terms of N=2 harmonic superfields corresponding to N=2 vector multiplet and hypermultiplet. Such a formulation possesses the manifest N=2 supersymmetry and an extra hidden on-shell supersymmetry. Exploring the hidden N=2 supersymmetry we proved that the known non-holomorphic potentials of the form ln W ln \bar{W} can be explicitly completed by the appropriate hypermultiplet-dependent terms to the entire N=4 supersymmetric form. The non-logarithmic effective potentials do not admit an N=4 completion and, hence, such potentials cannot occur in N=4 supersymmetric theory. As a result we obtain the exact N=4 supersymmetric low-energy effective action in N=4 SYM theory. |
1806.03605 | Damiano Anselmi | Damiano Anselmi and Marco Piva | Quantum Gravity, Fakeons And Microcausality | 24 pages, 2 figures; v2: minor changes, JHEP | J. High Energy Phys. 11 (2018) 21 | 10.1007/JHEP11(2018)021 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the properties of fakeons in quantum gravity at one loop. The
theory is described by a graviton multiplet, which contains the fluctuation
$h_{\mu \nu }$ of the metric, a massive scalar $\phi $ and the spin-2 fakeon
$\chi _{\mu \nu }$. The fields $\phi $ and $\chi _{\mu \nu }$ are introduced
explicitly at the level of the Lagrangian by means of standard procedures. We
consider two options, where $\phi $ is quantized as a physical particle or a
fakeon, and compute the absorptive part of the self-energy of the graviton
multiplet. The width of $\chi _{\mu \nu }$, which is negative, shows that the
theory predicts the violation of causality at energies larger than the fakeon
mass. We address this issue and compare the results with those of the Stelle
theory, where $\chi _{\mu \nu }$ is a ghost instead of a fakeon.
| [
{
"created": "Sun, 10 Jun 2018 07:52:08 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2018 11:57:34 GMT",
"version": "v2"
}
] | 2018-11-08 | [
[
"Anselmi",
"Damiano",
""
],
[
"Piva",
"Marco",
""
]
] | We investigate the properties of fakeons in quantum gravity at one loop. The theory is described by a graviton multiplet, which contains the fluctuation $h_{\mu \nu }$ of the metric, a massive scalar $\phi $ and the spin-2 fakeon $\chi _{\mu \nu }$. The fields $\phi $ and $\chi _{\mu \nu }$ are introduced explicitly at the level of the Lagrangian by means of standard procedures. We consider two options, where $\phi $ is quantized as a physical particle or a fakeon, and compute the absorptive part of the self-energy of the graviton multiplet. The width of $\chi _{\mu \nu }$, which is negative, shows that the theory predicts the violation of causality at energies larger than the fakeon mass. We address this issue and compare the results with those of the Stelle theory, where $\chi _{\mu \nu }$ is a ghost instead of a fakeon. |
1606.07083 | Patrick Concha | P.K. Concha, N. Merino, E.K. Rodr\'iguez | Lovelock gravities from Born-Infeld gravity theory | v3, 15 pages, two references added, published version | Phys. Lett. B 765 (2017) 395-401 | 10.1016/j.physletb.2016.09.008 | UAI-PHY-16/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a Born-Infeld gravity theory based on generalizations of Maxwell
symmetries denoted as $\mathfrak{C}_{m}$. We analyze different configuration
limits allowing to recover diverse Lovelock gravity actions in six dimensions.
Further, the generalization to higher even dimensions is also considered.
| [
{
"created": "Wed, 22 Jun 2016 20:08:34 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2016 20:18:45 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Sep 2016 15:23:36 GMT",
"version": "v3"
}
] | 2017-01-26 | [
[
"Concha",
"P. K.",
""
],
[
"Merino",
"N.",
""
],
[
"Rodríguez",
"E. K.",
""
]
] | We present a Born-Infeld gravity theory based on generalizations of Maxwell symmetries denoted as $\mathfrak{C}_{m}$. We analyze different configuration limits allowing to recover diverse Lovelock gravity actions in six dimensions. Further, the generalization to higher even dimensions is also considered. |
2008.03239 | Leopoldo A. Pando Zayas | Leopoldo A. Pando Zayas and Yu Xin | Universal Logarithmic Behavior in Microstate Counting and the Dual
One-loop Entropy of AdS$_4$ Black Holes | 44 pages, 18 Figures, 5 Tables. V2: Minor corrections, references
added | Phys. Rev. D 103, 026003 (2021) | 10.1103/PhysRevD.103.026003 | LCTP-20-18 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically study the topologically twisted index of several
three-dimensional supersymmetric field theories on a genus $g$ Riemann surface
times a circle, $\Sigma_g\times S^1$. We show that for a large class of
theories with leading term of the order $N^{3/2}$, where $N$ is generically the
rank of the gauge group, there is a universal logarithmic correction of the
form $\frac{g-1}{2} \log N$. We explain how this logarithmic subleading
correction can be obtained as a one-loop effect on the dual supergravity theory
for magnetically charged, asymptotically AdS$_4\times M^7$ black holes for a
large class of Sasaki-Einstein manifolds, $M^7$. The matching of the
logarithmic correction relies on a generic cohomological property of $M^7$ and
it is independent of the black hole charges. We argue that our supergravity
results apply also to rotating, electrically charged asymptotically
AdS$_4\times M^7$ black holes. We present explicitly the quiver gauge theories
and the gravity side corresponding to $M^7=N^{0,1,0}, V^{5,2}$ and $Q^{1,1,1}$.
| [
{
"created": "Fri, 7 Aug 2020 15:57:30 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Dec 2020 14:43:47 GMT",
"version": "v2"
}
] | 2021-01-13 | [
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Xin",
"Yu",
""
]
] | We numerically study the topologically twisted index of several three-dimensional supersymmetric field theories on a genus $g$ Riemann surface times a circle, $\Sigma_g\times S^1$. We show that for a large class of theories with leading term of the order $N^{3/2}$, where $N$ is generically the rank of the gauge group, there is a universal logarithmic correction of the form $\frac{g-1}{2} \log N$. We explain how this logarithmic subleading correction can be obtained as a one-loop effect on the dual supergravity theory for magnetically charged, asymptotically AdS$_4\times M^7$ black holes for a large class of Sasaki-Einstein manifolds, $M^7$. The matching of the logarithmic correction relies on a generic cohomological property of $M^7$ and it is independent of the black hole charges. We argue that our supergravity results apply also to rotating, electrically charged asymptotically AdS$_4\times M^7$ black holes. We present explicitly the quiver gauge theories and the gravity side corresponding to $M^7=N^{0,1,0}, V^{5,2}$ and $Q^{1,1,1}$. |
hep-th/0509087 | Alexander A. Chernitskii | Alexander A. Chernitskii | Born-Infeld equations | 4 pages, Internet address for Encyclopedia of Nonlinear Science is
http://www.routledge-ny.com/ref/nonlinearsci/ | Encyclopedia of Nonlinear Science, ed. Alwyn Scott. New York and
London: Routledge, 2004, pp. 67-69 | null | null | hep-th | null | Electronic version of Entry in Encyclopedia of Nonlinear Science.
| [
{
"created": "Tue, 13 Sep 2005 04:00:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chernitskii",
"Alexander A.",
""
]
] | Electronic version of Entry in Encyclopedia of Nonlinear Science. |
hep-th/0312280 | Alexandr Yelnikov | Alexandr Yelnikov | Hamiltonian analysis of the noncommutative Chern-Simons theory | 11 pages, revtex4 | null | null | null | hep-th | null | In this paper the hamiltonian analysis of the pure Chern-Simons theory on the
noncommutative plane is performed. We use the techniques of geometric
quantization to show that the classical reduced phase space of the theory has
nontrivial topology and that quantization of the symplectic structure on this
space is possible only if the Chern-Simons coefficient is quantized. Also we
show that the physical Hilbert space of the theory is one dimensional and give
an explicit expression for the vacuum wavefunction. This vacuum state is found
to be related to the noncommutative Wess-Zumino-Witten action.
| [
{
"created": "Tue, 23 Dec 2003 20:32:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yelnikov",
"Alexandr",
""
]
] | In this paper the hamiltonian analysis of the pure Chern-Simons theory on the noncommutative plane is performed. We use the techniques of geometric quantization to show that the classical reduced phase space of the theory has nontrivial topology and that quantization of the symplectic structure on this space is possible only if the Chern-Simons coefficient is quantized. Also we show that the physical Hilbert space of the theory is one dimensional and give an explicit expression for the vacuum wavefunction. This vacuum state is found to be related to the noncommutative Wess-Zumino-Witten action. |
2303.13711 | Andr\'es Argando\~na | Andr\'es Argando\~na | Aspects of Holographic Entanglement Entropy in Cubic Curvature Gravity | 72 pages, 6 figures, MSc Thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | In this thesis we explore general aspects of the entanglement entropy (EE)
for Conformal Field Theories (CFTs) dual to Cubic Curvature Gravity. We derived
a covariant expression for the EE by using a scheme inherited from the bulk
renormalization method through extrinsic counterterms. We evaluate this
functional in different entangling regions to calculate CFT data. In
particular, we compute the $t_4$ coefficient of the 3-point function of the
stress-tensor correlator by considering a deformed entangling region. We
observe that there is a discrepancy between the outcomes attained through the
employment of the EE functional for minimal and non-minimal splittings. We find
that only the $t_4$ obtained from the non-minimal functional agrees with
previous results in the literature that were computed by splitting-independent
CFT methods for specific theories such as the massless graviton case.
| [
{
"created": "Thu, 23 Mar 2023 23:21:20 GMT",
"version": "v1"
}
] | 2023-03-27 | [
[
"Argandoña",
"Andrés",
""
]
] | In this thesis we explore general aspects of the entanglement entropy (EE) for Conformal Field Theories (CFTs) dual to Cubic Curvature Gravity. We derived a covariant expression for the EE by using a scheme inherited from the bulk renormalization method through extrinsic counterterms. We evaluate this functional in different entangling regions to calculate CFT data. In particular, we compute the $t_4$ coefficient of the 3-point function of the stress-tensor correlator by considering a deformed entangling region. We observe that there is a discrepancy between the outcomes attained through the employment of the EE functional for minimal and non-minimal splittings. We find that only the $t_4$ obtained from the non-minimal functional agrees with previous results in the literature that were computed by splitting-independent CFT methods for specific theories such as the massless graviton case. |
hep-th/0311004 | Arutyunov | G. Arutyunov, J. Russo, A.A. Tseytlin | Spinning strings in AdS_5 x S^5: new integrable system relations | Latex, 33 pages; v2: few minor misprints corrected | Phys.Rev.D69:086009,2004 | 10.1103/PhysRevD.69.086009 | AEI-2003-091 | hep-th | null | A general class of rotating closed string solutions in AdS_5 x S^5 is shown
to be described by a Neumann-Rosochatius one-dimensional integrable system. The
latter represents an oscillator on a sphere or a hyperboloid with an additional
``centrifugal'' potential. We expect that the reduction of the AdS_5 x S^5
sigma model to the Neumann-Rosochatius system should have further
generalizations and should be useful for uncovering new relations between
integrable structures on the two sides of the AdS/CFT duality. We find, in
particular, new circular rotating string solutions with two AdS_5 and three S^5
spins. As in other recently discussed examples, the leading large-spin
correction to the classical energy turns out to be proportional to the square
of the string tension or the 't Hooft coupling \lambda, suggesting that it can
be matched onto the one-loop anomalous dimensions of the corresponding ``long''
operators on the SYM side of the AdS/CFT duality.
| [
{
"created": "Sun, 2 Nov 2003 18:14:57 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Nov 2004 18:18:20 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Arutyunov",
"G.",
""
],
[
"Russo",
"J.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | A general class of rotating closed string solutions in AdS_5 x S^5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system. The latter represents an oscillator on a sphere or a hyperboloid with an additional ``centrifugal'' potential. We expect that the reduction of the AdS_5 x S^5 sigma model to the Neumann-Rosochatius system should have further generalizations and should be useful for uncovering new relations between integrable structures on the two sides of the AdS/CFT duality. We find, in particular, new circular rotating string solutions with two AdS_5 and three S^5 spins. As in other recently discussed examples, the leading large-spin correction to the classical energy turns out to be proportional to the square of the string tension or the 't Hooft coupling \lambda, suggesting that it can be matched onto the one-loop anomalous dimensions of the corresponding ``long'' operators on the SYM side of the AdS/CFT duality. |
0704.2960 | Atsushi Yamaguchi | N. Ishibashi and A. Yamaguchi | An Exact Bosonization Rule for c=1 Noncritical String Theory | 17 pages, to appear in JHEP | JHEP0708:097,2007 | 10.1088/1126-6708/2007/08/097 | UTHEP-544, KEK-TH-1144 | hep-th | null | We construct a string field theory for c=1 noncritical strings using the loop
variables as the string field. We show how one can express the nonrelativistic
free fermions which describes the theory, in terms of these string fields.
| [
{
"created": "Mon, 23 Apr 2007 09:48:35 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2007 15:32:32 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ishibashi",
"N.",
""
],
[
"Yamaguchi",
"A.",
""
]
] | We construct a string field theory for c=1 noncritical strings using the loop variables as the string field. We show how one can express the nonrelativistic free fermions which describes the theory, in terms of these string fields. |
0903.2493 | Christopher Pope | G.W. Gibbons, H. Lu and C.N. Pope | Einstein Metrics on Group Manifolds and Cosets | 23 pages | J.Geom.Phys.61:947-960,2011 | 10.1016/j.geomphys.2011.01.004 | DAMTP-2009-20, MIFP-09-09 | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that every compact simple group manifold G admits a
bi-invariant Einstein metric, invariant under G_L\times G_R. Less well known is
that every compact simple group manifold except SO(3) and SU(2) admits at least
one more homogeneous Einstein metric, invariant still under G_L but with some,
or all, of the right-acting symmetry broken. (SO(3) and SU(2) are exceptional
in admitting only the one, bi-invariant, Einstein metric.) In this paper, we
look for Einstein metrics on three relatively low dimensional examples, namely
G=SU(3), SO(5) and G_2. For G=SU(3), we find just the two already known
inequivalent Einstein metrics. For G=SO(5), we find four inequivalent Einstein
metrics, thus extending previous results where only two were known. For G=G_2
we find six inequivalent Einstein metrics, which extends the list beyond the
previously-known two examples. We also study some cosets G/H for the above
groups G. In particular, for SO(5)/U(1) we find, depending on the embedding of
the U(1), generically two, with exceptionally one or three, Einstein metrics.
We also find a pseudo-Riemannian Einstein metric of signature (2,6) on SU(3),
an Einstein metric of signature (5,6) on G_2/SU(2)_{diag}, and an Einstein
metric of signature (4,6) on G_2/U(2). Interestingly, there are no Lorentzian
Einstein metrics among our examples.
| [
{
"created": "Mon, 16 Mar 2009 15:45:45 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | It is well known that every compact simple group manifold G admits a bi-invariant Einstein metric, invariant under G_L\times G_R. Less well known is that every compact simple group manifold except SO(3) and SU(2) admits at least one more homogeneous Einstein metric, invariant still under G_L but with some, or all, of the right-acting symmetry broken. (SO(3) and SU(2) are exceptional in admitting only the one, bi-invariant, Einstein metric.) In this paper, we look for Einstein metrics on three relatively low dimensional examples, namely G=SU(3), SO(5) and G_2. For G=SU(3), we find just the two already known inequivalent Einstein metrics. For G=SO(5), we find four inequivalent Einstein metrics, thus extending previous results where only two were known. For G=G_2 we find six inequivalent Einstein metrics, which extends the list beyond the previously-known two examples. We also study some cosets G/H for the above groups G. In particular, for SO(5)/U(1) we find, depending on the embedding of the U(1), generically two, with exceptionally one or three, Einstein metrics. We also find a pseudo-Riemannian Einstein metric of signature (2,6) on SU(3), an Einstein metric of signature (5,6) on G_2/SU(2)_{diag}, and an Einstein metric of signature (4,6) on G_2/U(2). Interestingly, there are no Lorentzian Einstein metrics among our examples. |
1101.6062 | Vidas Regelskis | Niall MacKay and Vidas Regelskis | Reflection algebra, Yangian symmetry and bound-states in AdS/CFT | 31 page, 8 figures. Updated version | JHEP 1201 (2012) 134 | 10.1007/JHEP01(2012)134 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the `Heisenberg picture' of the reflection algebra by explicitly
constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends
on a boundary with non-trivial degrees of freedom and which preserves the full
bulk Lie symmetry algebra. We also consider the spectrum of bulk and boundary
states and some automorphisms of the underlying algebras.
| [
{
"created": "Mon, 31 Jan 2011 20:10:30 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2011 12:09:22 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jul 2011 17:16:05 GMT",
"version": "v3"
}
] | 2014-01-10 | [
[
"MacKay",
"Niall",
""
],
[
"Regelskis",
"Vidas",
""
]
] | We present the `Heisenberg picture' of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-trivial degrees of freedom and which preserves the full bulk Lie symmetry algebra. We also consider the spectrum of bulk and boundary states and some automorphisms of the underlying algebras. |
0807.2613 | Christopher Pope | G.W. Gibbons, C.N. Pope and E. Sezgin | The General Supersymmetric Solution of Topologically Massive
Supergravity | Minor corrections | Class.Quant.Grav.25:205005,2008 | 10.1088/0264-9381/25/20/205005 | MIFP-08-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the general fully non-linear solution of topologically massive
supergravity admitting a Killing spinor. It is of plane-wave type, with a null
Killing vector field. Conversely, we show that all solutions with a null
Killing vector are supersymmetric for one or the other choice of sign for the
Chern-Simons coupling constant \mu. If \mu does not take the critical value
\mu=\pm 1, these solutions are asymptotically regular on a Poincar\'e patch,
but do not admit a smooth global compactification with boundary S^1\times\R. In
the critical case, the solutions have a logarithmic singularity on the boundary
of the Poincar\'e patch. We derive a Nester-Witten identity, which allows us to
identify the associated charges, but we conclude that the presence of the
Chern-Simons term prevents us from making a statement about their positivity.
The Nester-Witten procedure is applied to the BTZ black hole.
| [
{
"created": "Wed, 16 Jul 2008 17:06:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Apr 2011 19:31:06 GMT",
"version": "v2"
}
] | 2011-04-18 | [
[
"Gibbons",
"G. W.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Sezgin",
"E.",
""
]
] | We find the general fully non-linear solution of topologically massive supergravity admitting a Killing spinor. It is of plane-wave type, with a null Killing vector field. Conversely, we show that all solutions with a null Killing vector are supersymmetric for one or the other choice of sign for the Chern-Simons coupling constant \mu. If \mu does not take the critical value \mu=\pm 1, these solutions are asymptotically regular on a Poincar\'e patch, but do not admit a smooth global compactification with boundary S^1\times\R. In the critical case, the solutions have a logarithmic singularity on the boundary of the Poincar\'e patch. We derive a Nester-Witten identity, which allows us to identify the associated charges, but we conclude that the presence of the Chern-Simons term prevents us from making a statement about their positivity. The Nester-Witten procedure is applied to the BTZ black hole. |
1001.2535 | Pierre Vanhove | Michael B. Green, Jorge G. Russo, Pierre Vanhove | Automorphic properties of low energy string amplitudes in various
dimensions | 80 pages. 1 figure. v2:Typos corrected, footnotes amended and small
clarifications. v3: minor corrections. Version to appear in Phys Rev D | Phys.Rev.D81:086008,2010 | 10.1103/PhysRevD.81.086008 | DAMTP-2010-1, IPHT-T-10/001, IHES/P/10/01, ICCUB-10-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper explores the moduli-dependent coefficients of higher derivative
interactions that appear in the low-energy expansion of the four-graviton
amplitude of maximally supersymmetric string theory compactified on a d-torus.
These automorphic functions are determined for terms up to order D^6R^4 and
various values of d by imposing a variety of consistency conditions. They
satisfy Laplace eigenvalue equations with or without source terms, whose
solutions are given in terms of Eisenstein series, or more general automorphic
functions, for certain parabolic subgroups of the relevant U-duality groups.
The ultraviolet divergences of the corresponding supergravity field theory
limits are encoded in various logarithms, although the string theory
expressions are finite. This analysis includes intriguing representations of
SL(d) and SO(d,d) Eisenstein series in terms of toroidally compactified one and
two-loop string and supergravity amplitudes.
| [
{
"created": "Thu, 14 Jan 2010 19:28:50 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2010 18:45:56 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Apr 2010 19:40:12 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Green",
"Michael B.",
""
],
[
"Russo",
"Jorge G.",
""
],
[
"Vanhove",
"Pierre",
""
]
] | This paper explores the moduli-dependent coefficients of higher derivative interactions that appear in the low-energy expansion of the four-graviton amplitude of maximally supersymmetric string theory compactified on a d-torus. These automorphic functions are determined for terms up to order D^6R^4 and various values of d by imposing a variety of consistency conditions. They satisfy Laplace eigenvalue equations with or without source terms, whose solutions are given in terms of Eisenstein series, or more general automorphic functions, for certain parabolic subgroups of the relevant U-duality groups. The ultraviolet divergences of the corresponding supergravity field theory limits are encoded in various logarithms, although the string theory expressions are finite. This analysis includes intriguing representations of SL(d) and SO(d,d) Eisenstein series in terms of toroidally compactified one and two-loop string and supergravity amplitudes. |
2107.07918 | Loriano Bonora | Loriano Bonora | Perturbative and non-pertrubative trace anomalies | 30 pages, to be published in "Symmatry: Manifest and Hidden
Symmetries in Field and String Theories" | null | null | SISSA 17/2021/FISI | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the definition of trace anomalies for models of Dirac and Weyl
fermions coupled to a metric and a gauge potential. While in the
non-perturbative case the trace anomaly is the response of the effective action
to a Weyl transformation, the definition in a perturbative approach is more
involved. In the latter case we use a specific formula proposed by M.Duff, of
which we present a physical interpretation. The main body of the paper consists
in deriving trace anomalies with the above formula and comparing them with the
corresponding non-perturbative results. We show that they coincide and stress
the basic role of diffeomorphism invariance for the validity of the approach.
| [
{
"created": "Fri, 16 Jul 2021 14:16:21 GMT",
"version": "v1"
}
] | 2021-07-19 | [
[
"Bonora",
"Loriano",
""
]
] | We study the definition of trace anomalies for models of Dirac and Weyl fermions coupled to a metric and a gauge potential. While in the non-perturbative case the trace anomaly is the response of the effective action to a Weyl transformation, the definition in a perturbative approach is more involved. In the latter case we use a specific formula proposed by M.Duff, of which we present a physical interpretation. The main body of the paper consists in deriving trace anomalies with the above formula and comparing them with the corresponding non-perturbative results. We show that they coincide and stress the basic role of diffeomorphism invariance for the validity of the approach. |
hep-th/0311158 | Mohammad Reza Setare | A. A. Saharian and M. R. Setare | Casimir energy-momentum tensor for a brane in de Sitter spacetime | 10 pages, no figure | Phys.Lett. B584 (2004) 306-314 | 10.1016/j.physletb.2004.01.059 | null | hep-th | null | Vacuum expectation values of the energy-momentum tensor for a conformally
coupled scalar field is investigated in de Sitter (dS) spacetime in presence of
a curved brane on which the field obeys the Robin boundary condition with
coordinate dependent coefficients. To generate the corresponding vacuum
densities we use the conformal relation between dS and Rindler spacetimes and
the results previously obtained by one of the authors for the Rindler
counterpart. The resulting energy-momentum tensor is non-diagonal and induces
anisotropic vacuum stresses. The asymptotic behaviour of this tensor is
investigated near the dS horizon and the boundary.
| [
{
"created": "Tue, 18 Nov 2003 12:36:46 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Saharian",
"A. A.",
""
],
[
"Setare",
"M. R.",
""
]
] | Vacuum expectation values of the energy-momentum tensor for a conformally coupled scalar field is investigated in de Sitter (dS) spacetime in presence of a curved brane on which the field obeys the Robin boundary condition with coordinate dependent coefficients. To generate the corresponding vacuum densities we use the conformal relation between dS and Rindler spacetimes and the results previously obtained by one of the authors for the Rindler counterpart. The resulting energy-momentum tensor is non-diagonal and induces anisotropic vacuum stresses. The asymptotic behaviour of this tensor is investigated near the dS horizon and the boundary. |
hep-th/9205028 | Andy Strominger | Andrew Strominger | Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation | 16 pages and 2 figures | Phys.Rev.D46:4396-4401,1992 | 10.1103/PhysRevD.46.4396 | UCSBTH-92-18 | hep-th | null | Recently Callan, Giddings, Harvey and the author derived a set of one-loop
semiclassical equations describing black hole formation/evaporation in
two-dimensional dilaton gravity conformally coupled to $N$ scalar fields. These
equations were subsequently used to show that an incoming matter wave develops
a black hole type singularity at a critical value $\phi_{cr}$ of the dilaton
field. In this paper a modification to these equations arising from the
Fadeev-Popov determinant is considered and shown to have dramatic effects for
$N<24$, in which case $\phi_{cr}$ becomes complex. The $N<24$ equations are
solved along the leading edge of an incoming matter shock wave and found to be
non-singular. The shock wave arrives at future null infinity in a zero energy
state, gravitationally cloaked by negative energy Hawking radiation. Static
black hole solutions supported by a radiation bath are also studied. The
interior of the event horizon is found to be non-singular and asymptotic to
deSitter space for $N<24$, at least for sufficiently small mass. It is noted
that the one-loop approximation is {\it not} justified by a small parameter for
small $N$. However an alternate theory (with different matter content) is found
for which the same equations arise to leading order in an adjustable small
parameter.
| [
{
"created": "Wed, 13 May 1992 01:09:28 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Strominger",
"Andrew",
""
]
] | Recently Callan, Giddings, Harvey and the author derived a set of one-loop semiclassical equations describing black hole formation/evaporation in two-dimensional dilaton gravity conformally coupled to $N$ scalar fields. These equations were subsequently used to show that an incoming matter wave develops a black hole type singularity at a critical value $\phi_{cr}$ of the dilaton field. In this paper a modification to these equations arising from the Fadeev-Popov determinant is considered and shown to have dramatic effects for $N<24$, in which case $\phi_{cr}$ becomes complex. The $N<24$ equations are solved along the leading edge of an incoming matter shock wave and found to be non-singular. The shock wave arrives at future null infinity in a zero energy state, gravitationally cloaked by negative energy Hawking radiation. Static black hole solutions supported by a radiation bath are also studied. The interior of the event horizon is found to be non-singular and asymptotic to deSitter space for $N<24$, at least for sufficiently small mass. It is noted that the one-loop approximation is {\it not} justified by a small parameter for small $N$. However an alternate theory (with different matter content) is found for which the same equations arise to leading order in an adjustable small parameter. |
0807.0389 | Pierre Vanhove | Michael B. Green, Jorge G. Russo and Pierre Vanhove | Modular properties of two-loop maximal supergravity and connections with
string theory | 79 pages, 4 figures. Latex format. v2: Small corrections made,
version to appear in JHEP | null | 10.1088/1126-6708/2008/07/126 | DAMTP-2008-54, IPhT-T-08-100, UB-ECM-PF-08/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The low-momentum expansion of the two-loop four-graviton scattering amplitude
in eleven-dimensional supergravity compactified on a circle and a two-torus is
considered up to terms of order S^6R^4 (where S is a Mandelstam invariant and R
is the linearized Weyl curvature). In the case of the toroidal compactification
the coefficient of each term in the low energy expansion is generically a sum
of a number of SL(2,Z)-invariant functions of the complex structure of the
torus. Each such function satisfies a separate Poisson equation on moduli space
with particular source terms that are bilinear in coefficients of lower order
terms, consistent with qualitative arguments based on supersymmetry. Comparison
is made with the low-energy expansion of type II string theories in ten and
nine dimensions. Although the detailed behaviour of the string amplitude is not
generally expected to be reproduced by supergravity perturbation theory to all
orders, for the terms considered here we find agreement with direct results
from string perturbation theory. These results point to a fascinating pattern
of interrelated Poisson equations for the IIB coefficients at higher orders in
the momentum expansion which may have a significance beyond the particular
methods by which they were motivated.
| [
{
"created": "Wed, 2 Jul 2008 18:26:17 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 2008 14:46:42 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Green",
"Michael B.",
""
],
[
"Russo",
"Jorge G.",
""
],
[
"Vanhove",
"Pierre",
""
]
] | The low-momentum expansion of the two-loop four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a circle and a two-torus is considered up to terms of order S^6R^4 (where S is a Mandelstam invariant and R is the linearized Weyl curvature). In the case of the toroidal compactification the coefficient of each term in the low energy expansion is generically a sum of a number of SL(2,Z)-invariant functions of the complex structure of the torus. Each such function satisfies a separate Poisson equation on moduli space with particular source terms that are bilinear in coefficients of lower order terms, consistent with qualitative arguments based on supersymmetry. Comparison is made with the low-energy expansion of type II string theories in ten and nine dimensions. Although the detailed behaviour of the string amplitude is not generally expected to be reproduced by supergravity perturbation theory to all orders, for the terms considered here we find agreement with direct results from string perturbation theory. These results point to a fascinating pattern of interrelated Poisson equations for the IIB coefficients at higher orders in the momentum expansion which may have a significance beyond the particular methods by which they were motivated. |
0902.3904 | Seoktae Koh | Seoktae Koh | Vector Field and Inflation | 1+7pages, 3figures, To appear in the Proceedings of the CospA 2008,
Korea | null | 10.1142/S201019451100016X | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have investigated if the vector field can give rise to an accelerating
phase in the early universe. We consider a timelike vector field with a general
quadratic kinetic term in order to preserve an isotropic background spacetime.
The vector field potential is required to satisfy the three minimal conditions
for successful inflation: i) $\rho>0$, ii) $\rho+3P < 0$ and iii) the slow-roll
conditions. As an example, we consider the massive vector potential and small
field type potential as like in scalar driven inflation.
| [
{
"created": "Mon, 23 Feb 2009 13:14:52 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Koh",
"Seoktae",
""
]
] | We have investigated if the vector field can give rise to an accelerating phase in the early universe. We consider a timelike vector field with a general quadratic kinetic term in order to preserve an isotropic background spacetime. The vector field potential is required to satisfy the three minimal conditions for successful inflation: i) $\rho>0$, ii) $\rho+3P < 0$ and iii) the slow-roll conditions. As an example, we consider the massive vector potential and small field type potential as like in scalar driven inflation. |
1212.0702 | Sven Bjarke Gudnason | Minoru Eto and Sven Bjarke Gudnason | Knotted domain strings | 6 pages, 8 figures; V2: extended version with more details about the
host model, the numerics and the stability of the solutions | Phys.Lett.B727:260-264,2013 | 10.1016/j.physletb.2013.09.062 | YGHP-12-52 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct meta-stable knotted domain strings on the surface of a soliton
of the shape of a torus in 3+1 dimensions. We consider the simplest case of Z2
Wess-Zumino-type domain walls for which we can cover the torus with a domain
string accompanied with an anti-domain string. In this theory, all (p,q)-torus
knots can be realized as a linked pair of a(n) (un)knotted domain string and an
anti-domain string.
| [
{
"created": "Tue, 4 Dec 2012 12:53:42 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Oct 2013 14:42:20 GMT",
"version": "v2"
}
] | 2013-11-12 | [
[
"Eto",
"Minoru",
""
],
[
"Gudnason",
"Sven Bjarke",
""
]
] | We construct meta-stable knotted domain strings on the surface of a soliton of the shape of a torus in 3+1 dimensions. We consider the simplest case of Z2 Wess-Zumino-type domain walls for which we can cover the torus with a domain string accompanied with an anti-domain string. In this theory, all (p,q)-torus knots can be realized as a linked pair of a(n) (un)knotted domain string and an anti-domain string. |
1506.02313 | Vakhid Gani | Vakhid A. Gani, Vadim Lensky, Mariya A. Lizunova | Kink excitation spectra in the (1+1)-dimensional $\varphi^8$ model | 20 pages, 14 figures; V2: minor changes to match version published in
JHEP | JHEP 08 (2015) 147 | 10.1007/JHEP08(2015)147 | null | hep-th cond-mat.mtrl-sci math-ph math.MP nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study excitation spectra of BPS-saturated topological solutions -- the
kinks -- of the $\varphi^8$ scalar field model in $(1+1)$ dimensions, for three
different choices of the model parameters. We demonstrate that some of these
kinks have a vibrational mode, apart from the trivial zero (translational)
excitation. One of the considered kinks is shown to have three vibrational
modes. We perform a numerical calculation of the kink-kink scattering in one of
the considered variants of the $\varphi^8$ model, and find the critical
collision velocity $v_{\scriptsize \mbox{cr}}$ that separates the different
collision regimes: inelastic bounce of the kinks at $v_{\scriptsize
\mbox{in}}\ge v_{\scriptsize \mbox{cr}}$, and capture at $v_{\scriptsize
\mbox{in}}<v_{\scriptsize \mbox{cr}}$. We also observe escape windows at some
values of $v_{\scriptsize \mbox{in}}<v_{\scriptsize \mbox{cr}}$ where the kinks
escape to infinity after bouncing off each other two or more times. We analyse
the features of these windows and discuss their relation to the resonant energy
exchange between the translational and the vibrational excitations of the
colliding kinks.
| [
{
"created": "Sun, 7 Jun 2015 20:58:07 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 15:51:57 GMT",
"version": "v2"
}
] | 2016-02-18 | [
[
"Gani",
"Vakhid A.",
""
],
[
"Lensky",
"Vadim",
""
],
[
"Lizunova",
"Mariya A.",
""
]
] | We study excitation spectra of BPS-saturated topological solutions -- the kinks -- of the $\varphi^8$ scalar field model in $(1+1)$ dimensions, for three different choices of the model parameters. We demonstrate that some of these kinks have a vibrational mode, apart from the trivial zero (translational) excitation. One of the considered kinks is shown to have three vibrational modes. We perform a numerical calculation of the kink-kink scattering in one of the considered variants of the $\varphi^8$ model, and find the critical collision velocity $v_{\scriptsize \mbox{cr}}$ that separates the different collision regimes: inelastic bounce of the kinks at $v_{\scriptsize \mbox{in}}\ge v_{\scriptsize \mbox{cr}}$, and capture at $v_{\scriptsize \mbox{in}}<v_{\scriptsize \mbox{cr}}$. We also observe escape windows at some values of $v_{\scriptsize \mbox{in}}<v_{\scriptsize \mbox{cr}}$ where the kinks escape to infinity after bouncing off each other two or more times. We analyse the features of these windows and discuss their relation to the resonant energy exchange between the translational and the vibrational excitations of the colliding kinks. |
1803.06501 | Najib El Biaze M | N. El Biaze and R. Markazi | Implications of dilaton couplings on the axion potential | null | null | 10.1007/s10773-018-3898-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In particle physics and cosmology, the dilaton is an hypothetical scalar
field which can explain many physical phenomena. In this framework, we
investigate an extended lagrangian of QCD which involves dilatonic degrees of
freedom. Our approach is based on the relationship between the massive dilaton
and the nonperturbative effects of QCD. We derive a general axion potential
involving the dilaton properties and vacuum condensates.
| [
{
"created": "Sat, 17 Mar 2018 13:24:11 GMT",
"version": "v1"
}
] | 2018-10-17 | [
[
"Biaze",
"N. El",
""
],
[
"Markazi",
"R.",
""
]
] | In particle physics and cosmology, the dilaton is an hypothetical scalar field which can explain many physical phenomena. In this framework, we investigate an extended lagrangian of QCD which involves dilatonic degrees of freedom. Our approach is based on the relationship between the massive dilaton and the nonperturbative effects of QCD. We derive a general axion potential involving the dilaton properties and vacuum condensates. |
hep-th/0507142 | Micha{\l} Spali\'nski | Marek Pawlowski, Wlodzimierz Piechocki, Michal Spalinski | Winding Strings in Singular Spacetimes | null | Acta Phys.Polon. B38 (2007) 127-138 | null | null | hep-th | null | Evolution of winding strings in spacetimes with cycles whose proper lengths
depend on time is examined. It was established earlier that extended objects
wrapping the shrinking dimension in compactified Milne spacetime enjoy
classically nonsingular evolution. Extensions of this observation to other
spacetimes are discussed.
| [
{
"created": "Thu, 14 Jul 2005 15:08:58 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2005 12:20:41 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Pawlowski",
"Marek",
""
],
[
"Piechocki",
"Wlodzimierz",
""
],
[
"Spalinski",
"Michal",
""
]
] | Evolution of winding strings in spacetimes with cycles whose proper lengths depend on time is examined. It was established earlier that extended objects wrapping the shrinking dimension in compactified Milne spacetime enjoy classically nonsingular evolution. Extensions of this observation to other spacetimes are discussed. |
hep-th/9608123 | Ramon Rodriguez | R. Rodriguez, Y. Hosotani, J.E. Hetrick, and S. Iso | Aspects of Confinement and Chiral Dynamics in 2-d QED at Finite
Temperature | 4 pages, 2 ps files, uses sprocl.sty. To appear in Proceedings of
DPF96 (August, Minnesota) | null | null | UMN-TH-1507/96, NUC-MINN-96/14-T | hep-th | null | We evaluate the Polyakov loop and string tension at zero and finite
temperature in $QED_2.$ Using bozonization the problem is reduced to solving
the Schr\"odinger equation with a particular potential determined by the ground
state. In the presence of two sources of opposite charges the vacuum angle
parameter $\theta $ changes by $2\pi (q/e)$, independent of the number of
flavors. This, in turn, alters the chiral condensate. Particularly, in the one
flavor case through a simple computer algorithm, we explore the chiral dynamics
of a heavy fermion.
| [
{
"created": "Mon, 19 Aug 1996 13:52:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rodriguez",
"R.",
""
],
[
"Hosotani",
"Y.",
""
],
[
"Hetrick",
"J. E.",
""
],
[
"Iso",
"S.",
""
]
] | We evaluate the Polyakov loop and string tension at zero and finite temperature in $QED_2.$ Using bozonization the problem is reduced to solving the Schr\"odinger equation with a particular potential determined by the ground state. In the presence of two sources of opposite charges the vacuum angle parameter $\theta $ changes by $2\pi (q/e)$, independent of the number of flavors. This, in turn, alters the chiral condensate. Particularly, in the one flavor case through a simple computer algorithm, we explore the chiral dynamics of a heavy fermion. |
hep-th/0611236 | Mohammad M. Sheikh-Jabbari | N. Khosravi, H. R. Sepangi, M. M. Sheikh-Jabbari | Stabilization of Compactification Volume In a Noncommutative
Mini-Super-Phase-Space | 13 pages, 4 .eps figures; v2: References added | Phys.Lett.B647:219-224,2007 | 10.1016/j.physletb.2007.02.012 | IPM/P-2006/064 | hep-th astro-ph gr-qc | null | We consider a class of generalized FRW type metrics in the context of higher
dimensional Einstein gravity in which the extra dimensions are allowed to have
different scale factors. It is shown that noncommutativity between the momenta
conjugate to the internal space scale factors controls the power-law behavior
of the scale factors in the extra dimensions, taming it to an oscillatory
behavior. Hence noncommutativity among the internal momenta of the
mini-super-\emph{phase}-space can be used to explain stabilization of the
compactification volume of the internal space in a higher dimensional gravity
theory.
| [
{
"created": "Wed, 22 Nov 2006 12:37:50 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2006 09:41:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Khosravi",
"N.",
""
],
[
"Sepangi",
"H. R.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | We consider a class of generalized FRW type metrics in the context of higher dimensional Einstein gravity in which the extra dimensions are allowed to have different scale factors. It is shown that noncommutativity between the momenta conjugate to the internal space scale factors controls the power-law behavior of the scale factors in the extra dimensions, taming it to an oscillatory behavior. Hence noncommutativity among the internal momenta of the mini-super-\emph{phase}-space can be used to explain stabilization of the compactification volume of the internal space in a higher dimensional gravity theory. |
hep-th/0009022 | Zurab Kakushadze | Olindo Corradini and Zurab Kakushadze | Localized Gravity and Higher Curvature Terms | 11 pages, revtex; a minor misprint corrected (to appear in Phys.
Lett. B) | Phys.Lett. B494 (2000) 302-310 | 10.1016/S0370-2693(00)01196-5 | YITP-00-37 | hep-th gr-qc hep-ph | null | We consider localization of gravity in smooth domain wall solutions of
gravity coupled to a scalar field with a generic potential in the presence of
the Gauss-Bonnet term. We discuss conditions on the scalar potential such that
domain wall solutions are non-singular. We point out that the presence of the
Gauss-Bonnet term does not allow flat solutions with localized gravity that
violate the weak energy condition. We also point out that in the presence of
the Gauss-Bonnet term infinite tension flat domain walls violate positivity. In
fact, for flat solutions unitarity requires that on the solution the scalar
potential be bounded below.
| [
{
"created": "Mon, 4 Sep 2000 04:42:05 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Sep 2000 23:21:55 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Oct 2000 20:51:46 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Nov 2000 02:40:52 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Corradini",
"Olindo",
""
],
[
"Kakushadze",
"Zurab",
""
]
] | We consider localization of gravity in smooth domain wall solutions of gravity coupled to a scalar field with a generic potential in the presence of the Gauss-Bonnet term. We discuss conditions on the scalar potential such that domain wall solutions are non-singular. We point out that the presence of the Gauss-Bonnet term does not allow flat solutions with localized gravity that violate the weak energy condition. We also point out that in the presence of the Gauss-Bonnet term infinite tension flat domain walls violate positivity. In fact, for flat solutions unitarity requires that on the solution the scalar potential be bounded below. |
1904.00414 | Cesar Fosco | C. D. Fosco, M. L. Remaggi and M. C. Rodr\'iguez | Vacuum fluctuation effects due to an Abelian gauge field in 2+1
dimensions, in the presence of moving mirrors | 14 pages, no figures | null | 10.1016/j.physletb.2019.134838 | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Dynamical Casimir Effect (DCE) due to an Abelian gauge field in
2+1 dimensions, in the presence of semitransparent, zero-width mirrors, which
may move or deform in a time-dependent way. We obtain general expressions for
the probability of motion-induced pair creation, which we render in a more
explicit form, for some relevant states of motion.
| [
{
"created": "Sun, 31 Mar 2019 14:01:42 GMT",
"version": "v1"
}
] | 2019-10-02 | [
[
"Fosco",
"C. D.",
""
],
[
"Remaggi",
"M. L.",
""
],
[
"Rodríguez",
"M. C.",
""
]
] | We study the Dynamical Casimir Effect (DCE) due to an Abelian gauge field in 2+1 dimensions, in the presence of semitransparent, zero-width mirrors, which may move or deform in a time-dependent way. We obtain general expressions for the probability of motion-induced pair creation, which we render in a more explicit form, for some relevant states of motion. |
hep-th/0311261 | Larisa Laperashvili | L.Laperashvili and H.B.Nielsen | The Problem of Monopoles in the Standard and Family Replicated Models | 10 pages, 2 figures, talk given by L.Laperashvili at the Eleventh
Lomonosov Conference on Elementary Particle Physics, Moscow, 21-27 August,
2003 Elementary Particle | null | null | null | hep-th | null | The aim of the present talk is to show that monopoles cannot play any role in
the Standard Model (SM) and in its usual extensions up to the Planck scale:
$M_{Pl}=1.22\cdot 10^{19}$ GeV, because they have a huge charge and are
completely confined or screened. The possibility of the extension of the SM
with Family Replicated Gauge Group (FRGG) symmetry of the type
$(SMG)^N=[SU(3)_c]^N\times [SU(2)_L]^N\times [U(1)_Y]^N$ is briefly discussed.
It was shown that the Abelian monopoles (existing also in non-Abelian theories)
in FRGG model have $N^*$ times smaller magnetic charge than in the SM, where
$N^*=N(N+1)/2$. These monopoles can appear at the high energies in the
FRGG-model and give additional contributions to the beta-functions of the
renormalisation group equations for the running constants $\alpha_i(\mu)$,
where i=1,2,3 correspond to the U(1), SU(2) and SU(3) gauge groups of the SM.
| [
{
"created": "Thu, 27 Nov 2003 17:13:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Laperashvili",
"L.",
""
],
[
"Nielsen",
"H. B.",
""
]
] | The aim of the present talk is to show that monopoles cannot play any role in the Standard Model (SM) and in its usual extensions up to the Planck scale: $M_{Pl}=1.22\cdot 10^{19}$ GeV, because they have a huge charge and are completely confined or screened. The possibility of the extension of the SM with Family Replicated Gauge Group (FRGG) symmetry of the type $(SMG)^N=[SU(3)_c]^N\times [SU(2)_L]^N\times [U(1)_Y]^N$ is briefly discussed. It was shown that the Abelian monopoles (existing also in non-Abelian theories) in FRGG model have $N^*$ times smaller magnetic charge than in the SM, where $N^*=N(N+1)/2$. These monopoles can appear at the high energies in the FRGG-model and give additional contributions to the beta-functions of the renormalisation group equations for the running constants $\alpha_i(\mu)$, where i=1,2,3 correspond to the U(1), SU(2) and SU(3) gauge groups of the SM. |
hep-th/9406094 | Gary McCartor | Gary McCartor | Schwinger Model in the Light-Cone Representation | 13 pages (plain TeX, all macros included). SMUHEP/93-19 | Z.Phys. C64 (1994) 349-354 | 10.1007/BF01557409 | null | hep-th | null | I present a solution to the Schwinger model in the light-cone representation
which corrects an error in a previous work. I emphasize the details of the
mechanism by which the physical vacuum is different than the perturbative
vacuum. I suggest that the method of analyzing vacuum structure presented here
may be of use in more complicated theories such as QCD.
| [
{
"created": "Wed, 15 Jun 1994 01:00:49 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"McCartor",
"Gary",
""
]
] | I present a solution to the Schwinger model in the light-cone representation which corrects an error in a previous work. I emphasize the details of the mechanism by which the physical vacuum is different than the perturbative vacuum. I suggest that the method of analyzing vacuum structure presented here may be of use in more complicated theories such as QCD. |
1310.6353 | Kurt Hinterbichler | Kurt Hinterbichler, Janna Levin, Claire Zukowski | Kaluza-Klein Towers on General Manifolds | 66 pages | Phys. Rev. D 89, 086007 (2014) | 10.1103/PhysRevD.89.086007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A higher-dimensional universe with compactified extra dimensions admits a
four-dimensional description consisting of an infinite Kaluza-Klein tower of
fields. We revisit the problem of describing the free part of the complete
Kaluza-Klein tower of gauge fields, p-forms, gravity, and flux
compactifications. In contrast to previous studies, we work with a generic
internal manifold of any dimension, completely at the level of the action, in a
gauge invariant formulation, and without resorting to the equations of motion
or analysis of propagators. We demonstrate that the physical fields and
Stuckelberg fields are naturally described by ingredients of the Hodge
decomposition and its analog for symmetric tensors. The spectrum of states and
stability conditions, in terms of the eigenvalues of various Laplacians on the
internal manifold, is easily read from the action.
| [
{
"created": "Wed, 23 Oct 2013 20:00:00 GMT",
"version": "v1"
}
] | 2014-04-23 | [
[
"Hinterbichler",
"Kurt",
""
],
[
"Levin",
"Janna",
""
],
[
"Zukowski",
"Claire",
""
]
] | A higher-dimensional universe with compactified extra dimensions admits a four-dimensional description consisting of an infinite Kaluza-Klein tower of fields. We revisit the problem of describing the free part of the complete Kaluza-Klein tower of gauge fields, p-forms, gravity, and flux compactifications. In contrast to previous studies, we work with a generic internal manifold of any dimension, completely at the level of the action, in a gauge invariant formulation, and without resorting to the equations of motion or analysis of propagators. We demonstrate that the physical fields and Stuckelberg fields are naturally described by ingredients of the Hodge decomposition and its analog for symmetric tensors. The spectrum of states and stability conditions, in terms of the eigenvalues of various Laplacians on the internal manifold, is easily read from the action. |
hep-th/0201241 | Gary T. Horowitz | Gary T. Horowitz and Kengo Maeda | Inhomogeneous Near-extremal Black Branes | 27 pages, v2: reference added | Phys.Rev. D65 (2002) 104028 | 10.1103/PhysRevD.65.104028 | null | hep-th gr-qc | null | It has recently been shown that there exist stable inhomogeneous neutral
black strings in higher dimensional gravity. These solutions were motivated by
the fact that the corresponding homogeneous solutions are unstable. We show
that there exist new inhomogeneous black string and black p-brane solutions
even when the corresponding translationally invariant solutions are stable. In
particular, we show there exist inhomogeneous near-extremal black strings and
p-branes. Some of these solutions remain inhomogeneous even when the size of
the compact direction (at infinity) is very small.
| [
{
"created": "Tue, 29 Jan 2002 20:06:47 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2002 18:38:36 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Horowitz",
"Gary T.",
""
],
[
"Maeda",
"Kengo",
""
]
] | It has recently been shown that there exist stable inhomogeneous neutral black strings in higher dimensional gravity. These solutions were motivated by the fact that the corresponding homogeneous solutions are unstable. We show that there exist new inhomogeneous black string and black p-brane solutions even when the corresponding translationally invariant solutions are stable. In particular, we show there exist inhomogeneous near-extremal black strings and p-branes. Some of these solutions remain inhomogeneous even when the size of the compact direction (at infinity) is very small. |
0711.4101 | Zoltan Bajnok | Changrim Ahn, Zoltan Bajnok, Laszlo Palla, Francesco Ravanini | NLIE of Dirichlet sine-Gordon Model for Boundary Bound States | LaTeX, 21 pages with 10 eps figures | Nucl.Phys.B799:379-402,2008 | 10.1016/j.nuclphysb.2008.01.020 | null | hep-th | null | We investigate boundary bound states of sine-Gordon model on the finite-size
strip with Dirichlet boundary conditions. For the purpose we derive the
nonlinear integral equation (NLIE) for the boundary excited states from the
Bethe ansatz equation of the inhomogeneous XXZ spin 1/2 chain with boundary
imaginary roots discovered by Saleur and Skorik. Taking a large volume (IR)
limit we calculate boundary energies, boundary reflection factors and boundary
Luscher corrections and compare with the excited boundary states of the
Dirichlet sine-Gordon model first considered by Dorey and Mattsson. We also
consider the short distance limit and relate the IR scattering data with that
of the UV conformal field theory.
| [
{
"created": "Mon, 26 Nov 2007 20:44:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ahn",
"Changrim",
""
],
[
"Bajnok",
"Zoltan",
""
],
[
"Palla",
"Laszlo",
""
],
[
"Ravanini",
"Francesco",
""
]
] | We investigate boundary bound states of sine-Gordon model on the finite-size strip with Dirichlet boundary conditions. For the purpose we derive the nonlinear integral equation (NLIE) for the boundary excited states from the Bethe ansatz equation of the inhomogeneous XXZ spin 1/2 chain with boundary imaginary roots discovered by Saleur and Skorik. Taking a large volume (IR) limit we calculate boundary energies, boundary reflection factors and boundary Luscher corrections and compare with the excited boundary states of the Dirichlet sine-Gordon model first considered by Dorey and Mattsson. We also consider the short distance limit and relate the IR scattering data with that of the UV conformal field theory. |
1305.4815 | Igor Samsonov | I.L. Buchbinder, B.S. Merzlikin, I.B. Samsonov | Two-loop low-energy effective actions in N=2 and N=4 three-dimensional
SQED | 1+33 pages, v2: minor changes; v3: reference added | null | 10.1007/JHEP07(2013)012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2
and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons
term. We find exact expressions for propagators of chiral superfields
interacting with slowly-varying N=2 gauge superfield. Using these propagators
we compute two-loop effective actions in the N=2 and N=4 SQED as the
functionals of superfield strengths and their covariant spinor derivatives. The
obtained effective actions contain new terms having no four-dimensional
analogs. As an application, we find two-loop quantum corrections to the moduli
space metric in the N=2 SQED.
| [
{
"created": "Tue, 21 May 2013 13:39:09 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2013 08:46:02 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jul 2013 08:39:55 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Samsonov",
"I. B.",
""
]
] | We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N=2 gauge superfield. Using these propagators we compute two-loop effective actions in the N=2 and N=4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N=2 SQED. |
1311.5227 | Masashi Hamanaka | Masashi Hamanaka (Nagoya U) and Toshio Nakatsu (Setsunan U) | ADHM Construction of Noncommutative Instantons | 23pages, 3 figures, LaTeX; A composite version of proceedings of the
20th International Colloquium on Integrable Systems and Quantum Symmetries
(ISQS20), 17-23 June 2012, Prague, Czech Republic and the 10th International
Conference on Symmetries and Integrability of Difference Equations (SIDE10),
11-15 June 2012, Ningbo, China | null | null | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N)
instantons in noncommutative (NC) space and prove the one-to-one correspondence
between moduli spaces of the noncommutative instantons and the ADHM data,
together with an origin of the instanton number for U(1). We also give a
derivation of the ADHM construction from the viewpoint of the Nahm
transformation of instantons on four-tori. This article is a composite version
of [23] and [24].
| [
{
"created": "Wed, 20 Nov 2013 21:00:02 GMT",
"version": "v1"
}
] | 2013-11-22 | [
[
"Hamanaka",
"Masashi",
"",
"Nagoya U"
],
[
"Nakatsu",
"Toshio",
"",
"Setsunan U"
]
] | We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N) instantons in noncommutative (NC) space and prove the one-to-one correspondence between moduli spaces of the noncommutative instantons and the ADHM data, together with an origin of the instanton number for U(1). We also give a derivation of the ADHM construction from the viewpoint of the Nahm transformation of instantons on four-tori. This article is a composite version of [23] and [24]. |
1210.0015 | Piero Nicolini | Piero Nicolini and Euro Spallucci | Holographic screens in ultraviolet self-complete quantum gravity | 18 pages, 4 figures; v2 additional references; v3 shortened version
in press as invited contribution to "Black hole Physics'', special issue of
Advances of High Energy Physics edited by X. Zeng, C. Corda and D. Chen | Adv. High Energy Phys. 2014 (2014) 805684 | 10.1155/2014/805684 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the geometry and the thermodynamics of a holographic
screen in the framework of the ultraviolet self-complete quantum gravity. To
achieve this goal we construct a new static, neutral, non-rotating black hole
metric, whose outer (event) horizon coincides with the surface of the screen.
The space-time admits an extremal configuration corresponding to the minimal
holographic screen and having both mass and radius equalling the Planck units.
We identify this object as the space-time fundamental building block, whose
interior is physically unaccessible and cannot be probed even during the
Hawking evaporation terminal phase. In agreement with the holographic
principle, relevant processes take place on the screen surface. The area
quantization leads to a discrete mass spectrum. An analysis of the entropy
shows that the minimal holographic screen can store only one byte of
information while in the thermodynamic limit the area law is corrected by a
logarithmic term.
| [
{
"created": "Fri, 28 Sep 2012 20:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2012 15:01:53 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Mar 2014 10:28:08 GMT",
"version": "v3"
}
] | 2014-03-31 | [
[
"Nicolini",
"Piero",
""
],
[
"Spallucci",
"Euro",
""
]
] | In this paper we study the geometry and the thermodynamics of a holographic screen in the framework of the ultraviolet self-complete quantum gravity. To achieve this goal we construct a new static, neutral, non-rotating black hole metric, whose outer (event) horizon coincides with the surface of the screen. The space-time admits an extremal configuration corresponding to the minimal holographic screen and having both mass and radius equalling the Planck units. We identify this object as the space-time fundamental building block, whose interior is physically unaccessible and cannot be probed even during the Hawking evaporation terminal phase. In agreement with the holographic principle, relevant processes take place on the screen surface. The area quantization leads to a discrete mass spectrum. An analysis of the entropy shows that the minimal holographic screen can store only one byte of information while in the thermodynamic limit the area law is corrected by a logarithmic term. |
hep-th/0004078 | Pedro Castelo Ferreira | P. Castelo Ferreira, Ian I. Kogan and Bayram Tekin | Toroidal Compactification in String Theory from Chern-Simons Theory | 32+2 pages, 9 figures. Comments added and minor changes in section 3.
Content not altered | Nucl.Phys.B589:167-195,2000 | 10.1016/S0550-3213(00)00407-7 | OUTP-00-14P | hep-th | null | A detailed study of the charge spectrum of three dimensional Abelian
Topological Massive Gauge Theory (TMGT) is given. When this theory is defined
on a manifold with two disconnected boundaries there are induced chiral
Conformal Field Theories (CFT's) on the boundaries which can be interpreted as
the left and right sectors of closed strings. We show that Narain constraints
on toroidal compactification (integer, even, self-dual momentum lattice) have a
natural interpretation in purely three dimensional terms. This is an important
result which is necessary to construct toroidal compactification and heterotic
string from Topological Membrane (TM) approach to string theory. We also derive
the block structure of $c=1$ Rational Conformal Field Theory (RCFT) from the
three dimensional gauge theory.
| [
{
"created": "Tue, 11 Apr 2000 22:43:38 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jun 2000 18:02:17 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Ferreira",
"P. Castelo",
""
],
[
"Kogan",
"Ian I.",
""
],
[
"Tekin",
"Bayram",
""
]
] | A detailed study of the charge spectrum of three dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT's) on the boundaries which can be interpreted as the left and right sectors of closed strings. We show that Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely three dimensional terms. This is an important result which is necessary to construct toroidal compactification and heterotic string from Topological Membrane (TM) approach to string theory. We also derive the block structure of $c=1$ Rational Conformal Field Theory (RCFT) from the three dimensional gauge theory. |
hep-th/0105130 | Evaldo M. F. Curado | M. A. Rego-Monteiro and E. M. F. Curado (CBPF/Brazil) | Construction of a non-standard quantum field theory through a
generalized Heisenberg algebra | Latex, 16 pages | Int.J.Mod.Phys. A17 (2002) 661-674 | 10.1142/S0217751X0200959X | CBPF-NF-004/01 | hep-th | null | We construct a Heisenberg-like algebra for the one dimensional quantum free
Klein-Gordon equation defined on the interval of the real line of length $L$.
Using the realization of the ladder operators of this type Heisenberg algebra
in terms of physical operators we build a 3+1 dimensional free quantum field
theory based on this algebra. We introduce fields written in terms of the
ladder operators of this type Heisenberg algebra and a free quantum Hamiltonian
in terms of these fields. The mass spectrum of the physical excitations of this
quantum field theory are given by $\sqrt{n^2 \pi^2/L^2+m_q^2}$, where $n=
1,2,...$ denotes the level of the particle with mass $m_q$ in an infinite
square-well potential of width $L$.
| [
{
"created": "Mon, 14 May 2001 15:06:12 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Rego-Monteiro",
"M. A.",
"",
"CBPF/Brazil"
],
[
"Curado",
"E. M. F.",
"",
"CBPF/Brazil"
]
] | We construct a Heisenberg-like algebra for the one dimensional quantum free Klein-Gordon equation defined on the interval of the real line of length $L$. Using the realization of the ladder operators of this type Heisenberg algebra in terms of physical operators we build a 3+1 dimensional free quantum field theory based on this algebra. We introduce fields written in terms of the ladder operators of this type Heisenberg algebra and a free quantum Hamiltonian in terms of these fields. The mass spectrum of the physical excitations of this quantum field theory are given by $\sqrt{n^2 \pi^2/L^2+m_q^2}$, where $n= 1,2,...$ denotes the level of the particle with mass $m_q$ in an infinite square-well potential of width $L$. |
hep-th/0406035 | Emilio Torrente-Lujan | E. Torrente-Lujan, G. G. Volkov | Root systems from Toric Calabi-Yau Geometry. Towards new algebraic
structures and symmetries in physics? | 24 pages, 6 figures | null | null | CERN-PH-TH/2004-132,IFT-UAM/CSIC-04-06,UM-FT/04-67 | hep-th | null | The algebraic approach to the construction of the reflexive polyhedra that
yield Calabi-Yau spaces in three or more complex dimensions with K3 fibres
reveals graphs that include and generalize the Dynkin diagrams associated with
gauge symmetries. In this work we continue to study the structure of graphs
obtained from $CY_3$ reflexive polyhedra. We show how some particularly defined
integral matrices can be assigned to these diagrams. This family of matrices
and its associated graphs may be obtained by relaxing the restrictions on the
individual entries of the generalized Cartan matrices associated with the
Dynkin diagrams that characterize Cartan-Lie and affine Kac-Moody algebras.
These graphs keep however the affine structure, as it was in Kac-Moody Dynkin
diagrams. We presented a possible root structure for some simple cases. We
conjecture that these generalized graphs and associated link matrices may
characterize generalizations of these algebras.
| [
{
"created": "Thu, 3 Jun 2004 13:38:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Torrente-Lujan",
"E.",
""
],
[
"Volkov",
"G. G.",
""
]
] | The algebraic approach to the construction of the reflexive polyhedra that yield Calabi-Yau spaces in three or more complex dimensions with K3 fibres reveals graphs that include and generalize the Dynkin diagrams associated with gauge symmetries. In this work we continue to study the structure of graphs obtained from $CY_3$ reflexive polyhedra. We show how some particularly defined integral matrices can be assigned to these diagrams. This family of matrices and its associated graphs may be obtained by relaxing the restrictions on the individual entries of the generalized Cartan matrices associated with the Dynkin diagrams that characterize Cartan-Lie and affine Kac-Moody algebras. These graphs keep however the affine structure, as it was in Kac-Moody Dynkin diagrams. We presented a possible root structure for some simple cases. We conjecture that these generalized graphs and associated link matrices may characterize generalizations of these algebras. |
hep-th/0112118 | Laura Andrianopoli | Laura Andrianopoli | N=2 -> N=1 supergravity reduction in four dimensions | 6 pages, to appear in the proceedings of the RTN meeting ``The
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'', (Corfu`, September 2001) | Fortsch.Phys. 50 (2002) 808-814 | 10.1002/1521-3978(200209)50:8/9<808::AID-PROP808>3.0.CO;2-R | null | hep-th | null | We discuss the reduction of N=2 supergravity to N=1, by a consistent
truncation of the second gravitino multiplet.
| [
{
"created": "Thu, 13 Dec 2001 13:51:51 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2001 14:24:07 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Andrianopoli",
"Laura",
""
]
] | We discuss the reduction of N=2 supergravity to N=1, by a consistent truncation of the second gravitino multiplet. |
1404.4047 | Austin Joyce | Kurt Hinterbichler, Austin Joyce | Goldstones with Extended Shift Symmetries | 26 pages. v2: typos, references corrected | Int. J. Mod. Phys. D Vol. 23, No. 10 (2014) 1443001 | 10.1142/S0218271814430019 | null | hep-th cond-mat.other cond-mat.supr-con hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider scalar field theories invariant under extended shift symmetries
consisting of higher order polynomials in the spacetime coordinates. These
generalize ordinary shift symmetries and the linear shift symmetries of the
galileons. We find Wess-Zumino Lagrangians which transform up to total
derivatives under these symmetries, and which possess fewer derivatives per
field and lower order equations of motion than the strictly invariant terms. In
the non-relativistic context, where the extended shifts are purely spatial,
these theories may describe multi-critical Goldstone bosons. In the
relativistic case, where the shifts involve the full spacetime coordinate,
these theories generally propagate extra ghostly degrees of freedom.
| [
{
"created": "Tue, 15 Apr 2014 20:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2014 17:10:34 GMT",
"version": "v2"
}
] | 2014-10-16 | [
[
"Hinterbichler",
"Kurt",
""
],
[
"Joyce",
"Austin",
""
]
] | We consider scalar field theories invariant under extended shift symmetries consisting of higher order polynomials in the spacetime coordinates. These generalize ordinary shift symmetries and the linear shift symmetries of the galileons. We find Wess-Zumino Lagrangians which transform up to total derivatives under these symmetries, and which possess fewer derivatives per field and lower order equations of motion than the strictly invariant terms. In the non-relativistic context, where the extended shifts are purely spatial, these theories may describe multi-critical Goldstone bosons. In the relativistic case, where the shifts involve the full spacetime coordinate, these theories generally propagate extra ghostly degrees of freedom. |
1209.3994 | Kei-Ichi Kondo | Kei-Ichi Kondo, Kenta Suzuki, Hitoshi Fukamachi, Shogo Nishino and
Toru Shinohara | Physical unitarity for a massive Yang-Mills theory without the Higgs
field: (I) A perturbative treatment | 17 pages, 11 figures, references updated, a version published in
Phys.Rev.D. arXiv admin note: substantial text overlap with arXiv:1208.3521 | null | 10.1103/PhysRevD.87.025017 | CHIBA-EP-196 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a series of papers, we examine the physical unitarity in a massive
Yang-Mills theory without the Higgs field in which the color gauge symmetry is
not spontaneously broken and kept intact. For this purpose, we use a new
framework proposed in the previous paper Kondo [arXiv:1208.3521] based on a
nonperturbative construction of a non-Abelian field describing a massive
spin-one vector boson field, which enables us to perform the perturbative and
nonperturbative studies on the physical unitarity. In this paper, we present a
new perturbative treatment for the physical unitarity after giving the general
properties of the massive Yang-Mills theory. Then we reproduce the violation of
physical unitarity in a transparent way. This paper is a preliminary work to
the subsequent papers in which we present a nonperturbative framework to
propose a possible scenario of restoring the physical unitarity in the
Curci-Ferrari model.
| [
{
"created": "Tue, 18 Sep 2012 15:37:00 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2013 12:43:37 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Kondo",
"Kei-Ichi",
""
],
[
"Suzuki",
"Kenta",
""
],
[
"Fukamachi",
"Hitoshi",
""
],
[
"Nishino",
"Shogo",
""
],
[
"Shinohara",
"Toru",
""
]
] | In a series of papers, we examine the physical unitarity in a massive Yang-Mills theory without the Higgs field in which the color gauge symmetry is not spontaneously broken and kept intact. For this purpose, we use a new framework proposed in the previous paper Kondo [arXiv:1208.3521] based on a nonperturbative construction of a non-Abelian field describing a massive spin-one vector boson field, which enables us to perform the perturbative and nonperturbative studies on the physical unitarity. In this paper, we present a new perturbative treatment for the physical unitarity after giving the general properties of the massive Yang-Mills theory. Then we reproduce the violation of physical unitarity in a transparent way. This paper is a preliminary work to the subsequent papers in which we present a nonperturbative framework to propose a possible scenario of restoring the physical unitarity in the Curci-Ferrari model. |
hep-th/9212089 | Dieter L\"ust | L. Ibanez and D.Luest | A Comment on Duality Transformations and (Discrete) Gauge Symmetries in
Four-Dimensional Strings | 15 pages, CERN-TH.6737/92 | Phys.Lett.B302:38-46,1993 | 10.1016/0370-2693(93)90632-R | null | hep-th | null | We discuss the relationship between target space modular invariance and
discrete gauge symmetries in four-dimensional orbifold-like strings. First we
derive the modular transformation properties of various string vertex operators
of the massless string fields. Then we find that for supersymmetric
compactifications the action of the duality elements, leaving invariant the
multicritical points, corresponds to a combination of finite K\"ahler and gauge
transformations. However, those finite gauge transformations are not elements
of a remnant discrete gauge symmetry. We suggest that, at least in the case of
Gepner models corresponding to tensor products of identical minimal models, the
duality element leaving invariant the multicritical point corresponds to the
${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the
tensor product.
| [
{
"created": "Tue, 15 Dec 1992 13:36:29 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Ibanez",
"L.",
""
],
[
"Luest",
"D.",
""
]
] | We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite K\"ahler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the ${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the tensor product. |
0808.3435 | S. Q. Wu | Shuang-Qing Wu | Symmetry operators and separability of massive Klein-Gordon and Dirac
equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole
background | 24 pages, iopart.cls. Published version with references updated | Class.Quant.Grav.26:055001,2009; Erratum-ibid.26:189801,2009 | 10.1088/0264-9381/26/5/055001 10.1088/0264-9381/26/18/189801 | null | hep-th astro-ph.HE gr-qc hep-ph math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the Dirac equation is separable by variables in a
five-dimensional rotating Kerr-(anti-)de Sitter black hole with two independent
angular momenta. A first order symmetry operator that commutes with the Dirac
operator is constructed in terms of a rank-three Killing-Yano tensor whose
square is a second order symmetric Stackel-Killing tensor admitted by the
five-dimensional Kerr-(anti-)de Sitter spacetime. We highlight the construction
procedure of such a symmetry operator. In addition, the first law of black hole
thermodynamics has been extended to the case that the cosmological constant can
be viewed as a thermodynamical variable.
| [
{
"created": "Tue, 26 Aug 2008 03:03:03 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Aug 2008 10:57:52 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Sep 2008 02:05:09 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Oct 2008 07:24:49 GMT",
"version": "v4"
},
{
"created": "Thu, 12 Feb 2009 04:29:51 GMT",
"version": "v5"
}
] | 2009-09-28 | [
[
"Wu",
"Shuang-Qing",
""
]
] | It is shown that the Dirac equation is separable by variables in a five-dimensional rotating Kerr-(anti-)de Sitter black hole with two independent angular momenta. A first order symmetry operator that commutes with the Dirac operator is constructed in terms of a rank-three Killing-Yano tensor whose square is a second order symmetric Stackel-Killing tensor admitted by the five-dimensional Kerr-(anti-)de Sitter spacetime. We highlight the construction procedure of such a symmetry operator. In addition, the first law of black hole thermodynamics has been extended to the case that the cosmological constant can be viewed as a thermodynamical variable. |
1207.7083 | Simone Giombi | Simone Giombi and Vasily Pestun | Correlators of Wilson loops and local operators from multi-matrix models
and strings in AdS | 50 pages, 9 figures. v2: minor changes, references added | null | 10.1007/JHEP01(2013)101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study correlation functions of Wilson loops and local operators in a
subsector of N=4 SYM which preserves two supercharges. Localization arguments
allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills
theory. In turn, this can be reduced to computing correlators in certain
Gaussian multi-matrix models. We focus on the correlation function of a Wilson
loop and two local operators, and solve the corresponding three-matrix model
exactly in the planar limit. We compare the strong coupling behavior to string
theory in AdS_5xS^5, finding precise agreement. We pay particular attention to
the case in which the local operators have large R-charge J \sim sqrt{lambda}
at strong coupling.
| [
{
"created": "Mon, 30 Jul 2012 20:02:33 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2012 18:50:38 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Giombi",
"Simone",
""
],
[
"Pestun",
"Vasily",
""
]
] | We study correlation functions of Wilson loops and local operators in a subsector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In turn, this can be reduced to computing correlators in certain Gaussian multi-matrix models. We focus on the correlation function of a Wilson loop and two local operators, and solve the corresponding three-matrix model exactly in the planar limit. We compare the strong coupling behavior to string theory in AdS_5xS^5, finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J \sim sqrt{lambda} at strong coupling. |
1208.3322 | Maren Stein | Oscar J. C. Dias, Jorge E. Santos, Maren Stein | Kerr-AdS and its Near-horizon Geometry: Perturbations and the Kerr/CFT
Correspondence | 26 pages. 4 figures. v2: references added. matches published version | null | 10.1007/JHEP10(2012)182 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate linear perturbations of spin-s fields in the Kerr-AdS black
hole and in its near-horizon geometry (NHEK-AdS), using the Teukolsky master
equation and the Hertz potential. In the NHEK-AdS geometry we solve the
associated angular equation numerically and the radial equation exactly. Having
these explicit solutions at hand, we search for linear mode instabilities. We
do not find any (non-)axisymmetric instabilities with outgoing boundary
conditions. This is in agreement with a recent conjecture relating the
linearized stability properties of the full geometry with those of its
near-horizon geometry. Moreover, we find that the asymptotic behaviour of the
metric perturbations in NHEK-AdS violates the fall-off conditions imposed in
the formulation of the Kerr/CFT correspondence (the only exception being the
axisymmetric sector of perturbations).
| [
{
"created": "Thu, 16 Aug 2012 09:20:46 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Oct 2012 13:57:45 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Santos",
"Jorge E.",
""
],
[
"Stein",
"Maren",
""
]
] | We investigate linear perturbations of spin-s fields in the Kerr-AdS black hole and in its near-horizon geometry (NHEK-AdS), using the Teukolsky master equation and the Hertz potential. In the NHEK-AdS geometry we solve the associated angular equation numerically and the radial equation exactly. Having these explicit solutions at hand, we search for linear mode instabilities. We do not find any (non-)axisymmetric instabilities with outgoing boundary conditions. This is in agreement with a recent conjecture relating the linearized stability properties of the full geometry with those of its near-horizon geometry. Moreover, we find that the asymptotic behaviour of the metric perturbations in NHEK-AdS violates the fall-off conditions imposed in the formulation of the Kerr/CFT correspondence (the only exception being the axisymmetric sector of perturbations). |
1307.0428 | Kyung Kiu Kim | Kyung Kiu Kim, Nakwoo Kim, Yun-Long Zhang | Composite-particle hydrodynamics from dyonic black branes | 26 pages, No figure, references added, typos are corrected, notation
changed, paragraphs added | Journal of the Korean physical society 65 (2014) 973-986 | 10.3938/jkps.65.973 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct effective hydrodynamics for composite particles in (2+1)
dimensions carrying a magnetic flux by employing a holographic approach. The
hydrodynamics is obtained by perturbation of the dyonic black brane solutions
in the derivative expansion. We introduce a consistent way to avoid mixing of
different orders in the expansion. Thanks to this method, it is possible to
take the strong external magnetic field limit in the dual field theory. To
compare our result with those for a composite particle system, we study several
cases that correspond to special solutions of Einstein's equation and Maxwell's
equations.
| [
{
"created": "Mon, 1 Jul 2013 16:20:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2013 12:35:45 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Apr 2014 18:20:24 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Jul 2015 17:19:22 GMT",
"version": "v4"
}
] | 2015-07-23 | [
[
"Kim",
"Kyung Kiu",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Zhang",
"Yun-Long",
""
]
] | We construct effective hydrodynamics for composite particles in (2+1) dimensions carrying a magnetic flux by employing a holographic approach. The hydrodynamics is obtained by perturbation of the dyonic black brane solutions in the derivative expansion. We introduce a consistent way to avoid mixing of different orders in the expansion. Thanks to this method, it is possible to take the strong external magnetic field limit in the dual field theory. To compare our result with those for a composite particle system, we study several cases that correspond to special solutions of Einstein's equation and Maxwell's equations. |
hep-th/9304040 | Francois Gieres | Francois Gieres and Stefan Theisen | Classical $N=1$ and $N=2$ super W-algebras from a zero-curvature
condition | 18 pages, tex, LMU-TPW 93-07 | Int.J.Mod.Phys. A9 (1994) 383-398 | 10.1142/S0217751X94000182 | null | hep-th | null | Starting from superdifferential operators in an $N=1$ superfield formulation,
we present a systematic prescription for the derivation of classical $N=1$ and
$N=2$ super W-algebras by imposing a zero-curvature condition on the connection
of the corresponding first order system. We illustrate the procedure on the
first non-trivial example (beyond the $N=1$ superconformal algebra) and also
comment on the relation with the Gelfand-Dickey construction of $W$-algebras.
| [
{
"created": "Fri, 9 Apr 1993 18:51:18 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gieres",
"Francois",
""
],
[
"Theisen",
"Stefan",
""
]
] | Starting from superdifferential operators in an $N=1$ superfield formulation, we present a systematic prescription for the derivation of classical $N=1$ and $N=2$ super W-algebras by imposing a zero-curvature condition on the connection of the corresponding first order system. We illustrate the procedure on the first non-trivial example (beyond the $N=1$ superconformal algebra) and also comment on the relation with the Gelfand-Dickey construction of $W$-algebras. |
2105.14425 | Erich Cavalcanti PhD | Erich Cavalcanti | Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0 | 16 pages, 4 figures. (Missing information added) | null | 10.1103/PhysRevD.104.085019 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We propose an extension of the Schwinger parametric representation for
Feynman amplitudes in $D$ euclidean dimensions to a scenario where $d$
dimensions are compactified ($d<D$) through the introduction of periodic
boundary conditions in space. We obtain two valid representations, one useful
near the bulk (large compactification length) and another useful near the
dimensional reduction (small compactification length). Also, to illustrate, we
exhibit some Feynman amplitudes up to three loops in a compactified scalar
field theory.
| [
{
"created": "Sun, 30 May 2021 04:08:12 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2021 11:50:54 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Cavalcanti",
"Erich",
""
]
] | We propose an extension of the Schwinger parametric representation for Feynman amplitudes in $D$ euclidean dimensions to a scenario where $d$ dimensions are compactified ($d<D$) through the introduction of periodic boundary conditions in space. We obtain two valid representations, one useful near the bulk (large compactification length) and another useful near the dimensional reduction (small compactification length). Also, to illustrate, we exhibit some Feynman amplitudes up to three loops in a compactified scalar field theory. |
1807.05467 | Efrain J. Ferrer | E. J. Ferrer and V de la Incera | No Net Charge Separation in Hot QCD in a Magnetic Field | 17 pages | Phys. Rev. D 98, 074009 (2018) | 10.1103/PhysRevD.98.074009 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the realization of axion electrodynamics in QCD in the presence of a
background magnetic field at temperatures high enough for the occurrence of
topological charge transitions that are reflected in the presence of a
$\theta$-vacuum term in the action. We show that in this system, the Maxwell
equations contain two equal and opposite electric currents that are
proportional to the time derivative of the axion field $\theta$. One of these
currents comes directly from the Abelian chiral anomaly term in the action and
can be interpreted as a polarization current due to the magnetoelectricity of
the system with CP-broken symmetry. The other current is obtained from the
regular tadpole diagrams and can be understood as produced by the medium chiral
imbalance and the single spin projection of the quarks in the lowest Landau
level. Since the two currents cancel out, the net electric charge separation
along the magnetic field, a phenomenon known as the Chiral Magnetic Effect,
does not take place in hight-T QCD at least in equilibrium, in sharp contrast
with many claims in the literature. We discuss the similarities and differences
with Weyl semimetals in a magnetic field.
| [
{
"created": "Sat, 14 Jul 2018 23:59:15 GMT",
"version": "v1"
}
] | 2018-10-17 | [
[
"Ferrer",
"E. J.",
""
],
[
"de la Incera",
"V",
""
]
] | We study the realization of axion electrodynamics in QCD in the presence of a background magnetic field at temperatures high enough for the occurrence of topological charge transitions that are reflected in the presence of a $\theta$-vacuum term in the action. We show that in this system, the Maxwell equations contain two equal and opposite electric currents that are proportional to the time derivative of the axion field $\theta$. One of these currents comes directly from the Abelian chiral anomaly term in the action and can be interpreted as a polarization current due to the magnetoelectricity of the system with CP-broken symmetry. The other current is obtained from the regular tadpole diagrams and can be understood as produced by the medium chiral imbalance and the single spin projection of the quarks in the lowest Landau level. Since the two currents cancel out, the net electric charge separation along the magnetic field, a phenomenon known as the Chiral Magnetic Effect, does not take place in hight-T QCD at least in equilibrium, in sharp contrast with many claims in the literature. We discuss the similarities and differences with Weyl semimetals in a magnetic field. |
1108.1313 | Christof Wetterich | C. Wetterich | Lattice spinor gravity | 9 pages, minor corrections | null | 10.1016/j.physletb.2011.09.059 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a regularized lattice model for quantum gravity purely formulated
in terms of fermions. The lattice action exhibits local Lorentz symmetry, and
the continuum limit is invariant under general coordinate transformations. The
metric arises as a composite field. Our lattice model involves no signature for
space and time, describing simultaneously a Minkowski or euclidean theory. It
is invariant both under Lorentz transformations and euclidean rotations. The
difference between space and time arises from expectation values of composite
fields. Our formulation includes local gauge symmetries beyond the generalized
Lorentz symmetry. The lattice construction can be employed for formulating
models with local gauge symmetries purely in terms of fermions
| [
{
"created": "Fri, 5 Aug 2011 12:10:39 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2011 16:11:59 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Wetterich",
"C.",
""
]
] | We propose a regularized lattice model for quantum gravity purely formulated in terms of fermions. The lattice action exhibits local Lorentz symmetry, and the continuum limit is invariant under general coordinate transformations. The metric arises as a composite field. Our lattice model involves no signature for space and time, describing simultaneously a Minkowski or euclidean theory. It is invariant both under Lorentz transformations and euclidean rotations. The difference between space and time arises from expectation values of composite fields. Our formulation includes local gauge symmetries beyond the generalized Lorentz symmetry. The lattice construction can be employed for formulating models with local gauge symmetries purely in terms of fermions |
1307.4348 | Carl Bender | Carl M. Bender and Sarben Sarkar | Double-Scaling Limit of the O(N)-Symmetric Anharmonic Oscillator | ten pages, 4 figures | null | 10.1088/1751-8113/46/44/442001 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In an earlier paper it was argued that the conventional double-scaling limit
of an O(N)-symmetric quartic quantum field theory is inconsistent because the
critical coupling constant is negative and thus the integral representing the
partition function of the critical theory does not exist. In this earlier paper
it was shown that for an O(N)-symmetric quantum field theory in
zero-dimensional spacetime one can avoid this difficulty if one replaces the
original quartic theory by its PT-symmetric analog. In the current paper an
O(N)-symmetric quartic quantum field theory in one-dimensional spacetime [that
is, O(N)-symmetric quantum mechanics] is studied using the Schroedinger
equation. It is shown that the global PT-symmetric formulation of this
differential equation provides a consistent way to perform the double-scaling
limit of the O(N)-symmetric anharmonic oscillator. The physical nature of the
critical behavior is explained by studying the PT-symmetric quantum theory and
the corresponding and equivalent Hermitian quantum theory.
| [
{
"created": "Tue, 16 Jul 2013 17:11:04 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Bender",
"Carl M.",
""
],
[
"Sarkar",
"Sarben",
""
]
] | In an earlier paper it was argued that the conventional double-scaling limit of an O(N)-symmetric quartic quantum field theory is inconsistent because the critical coupling constant is negative and thus the integral representing the partition function of the critical theory does not exist. In this earlier paper it was shown that for an O(N)-symmetric quantum field theory in zero-dimensional spacetime one can avoid this difficulty if one replaces the original quartic theory by its PT-symmetric analog. In the current paper an O(N)-symmetric quartic quantum field theory in one-dimensional spacetime [that is, O(N)-symmetric quantum mechanics] is studied using the Schroedinger equation. It is shown that the global PT-symmetric formulation of this differential equation provides a consistent way to perform the double-scaling limit of the O(N)-symmetric anharmonic oscillator. The physical nature of the critical behavior is explained by studying the PT-symmetric quantum theory and the corresponding and equivalent Hermitian quantum theory. |
1505.04088 | Hrvoje Nikolic | H. Nikolic | Gravitational crystal inside the black hole | 7 pages, revised, new references, accepted for publication in Mod.
Phys. Lett. A | Mod. Phys. Lett. A 30 (2015) 1550201 | 10.1142/S0217732315502016 | null | hep-th cond-mat.other gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Crystals, as quantum objects typically much larger than their lattice
spacing, are a counterexample to a frequent prejudice that quantum effects
should not be pronounced at macroscopic distances. We propose that the Einstein
theory of gravity only describes a fluid phase and that a phase transition of
crystallization can occur under extreme conditions such as those inside the
black hole. Such a crystal phase with lattice spacing of the order of the
Planck length offers a natural mechanism for pronounced quantum-gravity effects
at distances much larger than the Planck length. A resolution of the black-hole
information paradox is proposed, according to which all information is stored
in a crystal-phase remnant with size and mass much above the Planck scale.
| [
{
"created": "Fri, 15 May 2015 15:07:24 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2015 10:04:13 GMT",
"version": "v2"
}
] | 2015-11-06 | [
[
"Nikolic",
"H.",
""
]
] | Crystals, as quantum objects typically much larger than their lattice spacing, are a counterexample to a frequent prejudice that quantum effects should not be pronounced at macroscopic distances. We propose that the Einstein theory of gravity only describes a fluid phase and that a phase transition of crystallization can occur under extreme conditions such as those inside the black hole. Such a crystal phase with lattice spacing of the order of the Planck length offers a natural mechanism for pronounced quantum-gravity effects at distances much larger than the Planck length. A resolution of the black-hole information paradox is proposed, according to which all information is stored in a crystal-phase remnant with size and mass much above the Planck scale. |
0709.3059 | D. S. Berman | David S. Berman and Laura C. Tadrowski | M-Theory Brane Deformations | 42 pages, latex, v2: references added | Nucl.Phys.B795:201-229,2008 | 10.1016/j.nuclphysb.2007.11.016 | QMUL-PH-2007-16 | hep-th | null | Using the techniques developed by Lunin and Maldacena we calaculate the
supergravity solutions of membranes and fivebranes in the presence of a
background C field. All the distinct possible C-field configurations are
explored. Decoupling limits for these branes are then described that preserve
the deformation leading to families of M-theory brane deformation duals. The
decoupled geometry is then explored using probe brane techniques and brane
thermodynamics.
| [
{
"created": "Wed, 19 Sep 2007 16:15:22 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2007 08:35:29 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Berman",
"David S.",
""
],
[
"Tadrowski",
"Laura C.",
""
]
] | Using the techniques developed by Lunin and Maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background C field. All the distinct possible C-field configurations are explored. Decoupling limits for these branes are then described that preserve the deformation leading to families of M-theory brane deformation duals. The decoupled geometry is then explored using probe brane techniques and brane thermodynamics. |
hep-th/9302020 | Petr Horava | Petr Horava | Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two
Dimensional Topological String Theory | EFI-92-70; 36 pages, no figures; requires PHYZZX | Nucl.Phys. B414 (1994) 485-516 | 10.1016/0550-3213(94)90438-3 | null | hep-th | null | This paper analyzes spacetime symmetries of topological string theory on a
two dimensional torus, and points out that the spacetime geometry of the model
is that of the Batalin-Vilkovisky formalism. Previously I found an infinite
symmetry algebra in the absolute BRST cohomology of the model. Here I find an
analog of the BV $\Delta$ operator, and show that it defines a natural
semirelative BRST cohomology. In the absolute cohomology, the ghost-number-zero
symmetries form the algebra of all infinitesimal spacetime diffeomorphisms,
extended at non-zero ghost numbers to the algebra of all odd-symplectic
diffeomorphisms on a spacetime supermanifold. In the semirelative cohomology,
the symmetries are reduced to $w_\infty$ at ghost number zero, and to a
topologically twisted N=2 $w_\infty$ superalgebra when all ghost numbers are
included. I discuss deformations of the model that break parts of the spacetime
symmetries while preserving the topological BRST symmetry on the worldsheet. In
the absolute cohomology of the deformed model, another topological $w_\infty$
superalgebra may emerge, while the semirelative cohomology leads to a bosonic
$w_\infty$ symmetry.
| [
{
"created": "Fri, 5 Feb 1993 22:57:20 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Horava",
"Petr",
""
]
] | This paper analyzes spacetime symmetries of topological string theory on a two dimensional torus, and points out that the spacetime geometry of the model is that of the Batalin-Vilkovisky formalism. Previously I found an infinite symmetry algebra in the absolute BRST cohomology of the model. Here I find an analog of the BV $\Delta$ operator, and show that it defines a natural semirelative BRST cohomology. In the absolute cohomology, the ghost-number-zero symmetries form the algebra of all infinitesimal spacetime diffeomorphisms, extended at non-zero ghost numbers to the algebra of all odd-symplectic diffeomorphisms on a spacetime supermanifold. In the semirelative cohomology, the symmetries are reduced to $w_\infty$ at ghost number zero, and to a topologically twisted N=2 $w_\infty$ superalgebra when all ghost numbers are included. I discuss deformations of the model that break parts of the spacetime symmetries while preserving the topological BRST symmetry on the worldsheet. In the absolute cohomology of the deformed model, another topological $w_\infty$ superalgebra may emerge, while the semirelative cohomology leads to a bosonic $w_\infty$ symmetry. |
1606.08674 | Dimitrios Tsimpis | Dimitrios Tsimpis | Generalized geometry lectures on type II backgrounds | 34 pages, 5 figures | null | null | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first part of these notes is a self-contained introduction to generalized
complex geometry. It is intended as a `user manual' for tools used in the study
of supersymmetric backgrounds of supergravity. In the second part we review
some past and recent results on the generalized complex structure of
supersymmetric type II vacua in various dimensions.
| [
{
"created": "Tue, 28 Jun 2016 12:33:24 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Tsimpis",
"Dimitrios",
""
]
] | The first part of these notes is a self-contained introduction to generalized complex geometry. It is intended as a `user manual' for tools used in the study of supersymmetric backgrounds of supergravity. In the second part we review some past and recent results on the generalized complex structure of supersymmetric type II vacua in various dimensions. |
0901.0782 | Yu-Xiao Liu | Yu-Xiao Liu, Zhen-Hua Zhao, Shao-Wen Wei, Yi-Shi Duan | Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes | 28 pages, 28 figures | JCAP 02 (2009) 003 | 10.1088/1475-7516/2009/02/003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An asymmetric thick domain wall solution with de Sitter ($dS$) expansion in
five dimensions can be constructed from a symmetric one by using a same scalar
(kink) with different potentials. In this paper, by presenting the
mass-independent potentials of Kaluza--Klein (KK) modes in the corresponding
Schr\"{o}dinger equations, we investigate the localization and mass spectra of
various bulk matter fields on the symmetric and asymmetric $dS$ thick branes.
It is shown that the spectrum of scalar KK modes on the symmetric $dS$ brane
contains only one bound mode (the massless mode). However, for the asymmetric
$dS$ brane with a large asymmetric factor $a$, there are two bound scalar KK
modes: a zero mode and a massive mode. For spin 1 vectors, the spectra of KK
modes on both $dS$ branes consist of a bound massless mode and a set of
continuous ones, i.e., the asymmetric factor does not change the number of the
bound vector KK modes. For spin 1/2 fermions with the scalar-fermion coupling
$\eta\bar\Psi \sin(\phi/\phi_0)\cos^{-\delta}(\phi/\phi_0)\Psi$, there exist
some discrete bound KK modes and a series of continuous ones. The asymmetric
factor $a$ reduces the number of the bound fermion KK modes.
| [
{
"created": "Wed, 7 Jan 2009 09:10:30 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 2009 13:59:30 GMT",
"version": "v2"
}
] | 2009-02-03 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhao",
"Zhen-Hua",
""
],
[
"Wei",
"Shao-Wen",
""
],
[
"Duan",
"Yi-Shi",
""
]
] | An asymmetric thick domain wall solution with de Sitter ($dS$) expansion in five dimensions can be constructed from a symmetric one by using a same scalar (kink) with different potentials. In this paper, by presenting the mass-independent potentials of Kaluza--Klein (KK) modes in the corresponding Schr\"{o}dinger equations, we investigate the localization and mass spectra of various bulk matter fields on the symmetric and asymmetric $dS$ thick branes. It is shown that the spectrum of scalar KK modes on the symmetric $dS$ brane contains only one bound mode (the massless mode). However, for the asymmetric $dS$ brane with a large asymmetric factor $a$, there are two bound scalar KK modes: a zero mode and a massive mode. For spin 1 vectors, the spectra of KK modes on both $dS$ branes consist of a bound massless mode and a set of continuous ones, i.e., the asymmetric factor does not change the number of the bound vector KK modes. For spin 1/2 fermions with the scalar-fermion coupling $\eta\bar\Psi \sin(\phi/\phi_0)\cos^{-\delta}(\phi/\phi_0)\Psi$, there exist some discrete bound KK modes and a series of continuous ones. The asymmetric factor $a$ reduces the number of the bound fermion KK modes. |
1508.05091 | Mart\'in Dionisio Arteaga Tupia | Mart\'in D. Arteaga Tupia | The three point function in Liouville and $\mathcal{N}=1$ Super
Liouville Theory | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this dissertation we present some basic features about Liouville and
$\mathcal{N}=1$ Super Liouville Theory, and focus in the computation of their
three point functions. Additionally, we include an introduction to Conformal
Field Theories (CFT) and Supersymmetry, which are the basic tools of the
present research.
| [
{
"created": "Thu, 20 Aug 2015 17:28:09 GMT",
"version": "v1"
}
] | 2015-08-24 | [
[
"Tupia",
"Martín D. Arteaga",
""
]
] | In this dissertation we present some basic features about Liouville and $\mathcal{N}=1$ Super Liouville Theory, and focus in the computation of their three point functions. Additionally, we include an introduction to Conformal Field Theories (CFT) and Supersymmetry, which are the basic tools of the present research. |
0810.3472 | Ashoke Sen | Nabamita Banerjee, Dileep P. Jatkar, Ashoke Sen | Asymptotic Expansion of the N=4 Dyon Degeneracy | LaTeX file, 2 figures, 28 pages; v2: added discussion on fermionic
and bosonic zero modes of the AdS_2/Z_N solution, added references, rewrote
footnote 4 | JHEP 0905:121,2009 | 10.1088/1126-6708/2009/05/121 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various aspects of power suppressed as well as exponentially
suppressed corrections in the asymptotic expansion of the degeneracy of quarter
BPS dyons in N=4 supersymmetric string theories. In particular we explicitly
calculate the power suppressed corrections up to second order and the first
exponentially suppressed corrections. We also propose a macroscopic origin of
the exponentially suppressed corrections using the quantum entropy function
formalism. This suggests a universal pattern of exponentially suppressed
corrections to all four dimensional extremal black hole entropies in string
theory.
| [
{
"created": "Mon, 20 Oct 2008 07:00:47 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2008 16:44:36 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Jatkar",
"Dileep P.",
""
],
[
"Sen",
"Ashoke",
""
]
] | We study various aspects of power suppressed as well as exponentially suppressed corrections in the asymptotic expansion of the degeneracy of quarter BPS dyons in N=4 supersymmetric string theories. In particular we explicitly calculate the power suppressed corrections up to second order and the first exponentially suppressed corrections. We also propose a macroscopic origin of the exponentially suppressed corrections using the quantum entropy function formalism. This suggests a universal pattern of exponentially suppressed corrections to all four dimensional extremal black hole entropies in string theory. |
1012.2905 | David Ridout | David Ridout | Fusion in Fractional Level sl^(2)-Theories with k=-1/2 | 33 pages, 8 figures; v2 - added a ref and deleted a paragraph from
the conclusions | Nucl.Phys.B848:216-250,2011 | 10.1016/j.nuclphysb.2011.02.015 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fusion rules of conformal field theories admitting an sl^(2)-symmetry at
level k=-1/2 are studied. It is shown that the fusion closes on the set of
irreducible highest weight modules and their images under spectral flow, but
not when "highest weight" is replaced with "relaxed highest weight". The fusion
of the relaxed modules, necessary for a well-defined u^(1)-coset, gives two
families of indecomposable modules on which the Virasoro zero-mode acts
non-diagonalisably. This confirms the logarithmic nature of the associated
theories. The structures of the indecomposable modules are completely
determined as staggered modules and it is shown that there are no logarithmic
couplings (beta-invariants). The relation to the fusion ring of the c=-2
triplet model and the implications for the beta gamma ghost system are briefly
discussed.
| [
{
"created": "Tue, 14 Dec 2010 00:07:48 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2011 22:59:07 GMT",
"version": "v2"
}
] | 2011-04-04 | [
[
"Ridout",
"David",
""
]
] | The fusion rules of conformal field theories admitting an sl^(2)-symmetry at level k=-1/2 are studied. It is shown that the fusion closes on the set of irreducible highest weight modules and their images under spectral flow, but not when "highest weight" is replaced with "relaxed highest weight". The fusion of the relaxed modules, necessary for a well-defined u^(1)-coset, gives two families of indecomposable modules on which the Virasoro zero-mode acts non-diagonalisably. This confirms the logarithmic nature of the associated theories. The structures of the indecomposable modules are completely determined as staggered modules and it is shown that there are no logarithmic couplings (beta-invariants). The relation to the fusion ring of the c=-2 triplet model and the implications for the beta gamma ghost system are briefly discussed. |
1802.05362 | Zachary Guralnik | Gerald Guralnik, Zachary Guralnik and Cengiz Pehlevan | Holography, Fractals and the Weyl Anomaly | 24 pages, 2 figures, factor of two error corrected, minor edits | null | null | Brown-HET-1726 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the large source asymptotics of the generating functional in quantum
field theory using the holographic renormalization group, and draw comparisons
with the asymptotics of the Hopf characteristic function in fractal geometry.
Based on the asymptotic behavior, we find a correspondence relating the Weyl
anomaly and the fractal dimension of the Euclidean path integral measure. We
are led to propose an equivalence between the logarithmic ultraviolet
divergence of the Shannon entropy of this measure and the integrated Weyl
anomaly, reminiscent of a known relation between logarithmic divergences of
entanglement entropy and a central charge. It follows that the information
dimension associated with the Euclidean path integral measure satisfies a
c-theorem.
| [
{
"created": "Wed, 14 Feb 2018 23:50:57 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2018 03:05:52 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Oct 2018 17:12:04 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Mar 2019 16:59:18 GMT",
"version": "v4"
}
] | 2019-03-08 | [
[
"Guralnik",
"Gerald",
""
],
[
"Guralnik",
"Zachary",
""
],
[
"Pehlevan",
"Cengiz",
""
]
] | We study the large source asymptotics of the generating functional in quantum field theory using the holographic renormalization group, and draw comparisons with the asymptotics of the Hopf characteristic function in fractal geometry. Based on the asymptotic behavior, we find a correspondence relating the Weyl anomaly and the fractal dimension of the Euclidean path integral measure. We are led to propose an equivalence between the logarithmic ultraviolet divergence of the Shannon entropy of this measure and the integrated Weyl anomaly, reminiscent of a known relation between logarithmic divergences of entanglement entropy and a central charge. It follows that the information dimension associated with the Euclidean path integral measure satisfies a c-theorem. |
2312.02148 | Andrzej Pokraka | Rishabh Bhardwaj, Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez | A double copy from twisted (co)homology at genus one | 45+23 pages, 16 Figures. Updated to match version in JHEP. Text
streamlined to focus on double copy result -- progress towards understanding
Riemann-Wirtinger integrals in terms of eMPLs has been moved to appendix E | null | 10.1007/JHEP07(2024)040 | UUITP--37/23 | hep-th math-ph math.AG math.AT math.MP | http://creativecommons.org/licenses/by/4.0/ | We study the twisted (co)homology of a family of genus-one integrals -- the
so called Riemann-Wirtinger integrals. These integrals are closely related to
one-loop string amplitudes in chiral splitting where one leaves the
loop-momentum, modulus and all but one puncture un-integrated. While not actual
one-loop string integrals, they share many properties and are simple enough
that the associated twisted (co)homologies have been completely characterized
[Goto2022,arXiv:2206.03177]. Using intersection numbers -- an inner product on
the vector space of allowed differential forms -- we derive the Gauss-Manin
connection for two bases of the twisted cohomology providing an independent
check of [Mano&Watanabe2012]. We also use the intersection index -- an inner
product on the vector space of allowed contours -- to derive a double-copy
formula for the closed-string analogues of Riemann-Wirtinger integrals
(one-dimensional integrals over the torus). Similar to the celebrated KLT
formula between open- and closed-string tree-level amplitudes, these
intersection indices form a genus-one KLT-like kernel defining bilinears in
meromorphic Riemann-Wirtinger integrals that are equal to their complex
counterparts.
| [
{
"created": "Mon, 4 Dec 2023 18:59:21 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2024 17:42:44 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Bhardwaj",
"Rishabh",
""
],
[
"Pokraka",
"Andrzej",
""
],
[
"Ren",
"Lecheng",
""
],
[
"Rodriguez",
"Carlos",
""
]
] | We study the twisted (co)homology of a family of genus-one integrals -- the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes in chiral splitting where one leaves the loop-momentum, modulus and all but one puncture un-integrated. While not actual one-loop string integrals, they share many properties and are simple enough that the associated twisted (co)homologies have been completely characterized [Goto2022,arXiv:2206.03177]. Using intersection numbers -- an inner product on the vector space of allowed differential forms -- we derive the Gauss-Manin connection for two bases of the twisted cohomology providing an independent check of [Mano&Watanabe2012]. We also use the intersection index -- an inner product on the vector space of allowed contours -- to derive a double-copy formula for the closed-string analogues of Riemann-Wirtinger integrals (one-dimensional integrals over the torus). Similar to the celebrated KLT formula between open- and closed-string tree-level amplitudes, these intersection indices form a genus-one KLT-like kernel defining bilinears in meromorphic Riemann-Wirtinger integrals that are equal to their complex counterparts. |
2404.15148 | Ana Climent | Ana Climent, Roberto Emparan and Robie A. Hennigar | Chemical Potential and Charge in Quantum Black Holes | 30 pages + appendices, 11 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study systems in $2+1$ dimensions consisting of defects that source an
electric charge, or a magnetic flux, of a $U(1)$ field, and we use holography
to compute their effects on quantum conformal fields. We can also hide the
defects inside the horizon of a black hole, where they continue to affect the
quantum fields outside. By extending the solutions to braneworld holography, we
find the non-linear backreaction of the quantum fields on the defect and black
hole backgrounds. This gives quantum charged point particles and black holes.
The charged quantum black holes markedly differ from classically charged BTZ
black holes, since the quantum-induced electromagnetic field in $2+1$
dimensions has a better asymptotic behavior than its classical counterpart. The
construction also gives a new class of (near-)extremal charged quantum black
holes with AdS$_2$ throats.
| [
{
"created": "Tue, 23 Apr 2024 15:52:47 GMT",
"version": "v1"
}
] | 2024-04-24 | [
[
"Climent",
"Ana",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Hennigar",
"Robie A.",
""
]
] | We study systems in $2+1$ dimensions consisting of defects that source an electric charge, or a magnetic flux, of a $U(1)$ field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects inside the horizon of a black hole, where they continue to affect the quantum fields outside. By extending the solutions to braneworld holography, we find the non-linear backreaction of the quantum fields on the defect and black hole backgrounds. This gives quantum charged point particles and black holes. The charged quantum black holes markedly differ from classically charged BTZ black holes, since the quantum-induced electromagnetic field in $2+1$ dimensions has a better asymptotic behavior than its classical counterpart. The construction also gives a new class of (near-)extremal charged quantum black holes with AdS$_2$ throats. |
hep-th/0702147 | Takao Suyama | Takao Suyama | Non-trivial Tachyon Profiles in Low Energy Effective Theory | 20 pages, minor change | JHEP 0705:057,2007 | 10.1088/1126-6708/2007/05/057 | KUNS-2062 | hep-th | null | We study classical solutions of a low energy effective theory of a string
theory with tachyons. With a certain ansatz, we obtain all possible solutions
which are weakly coupled and weakly curved. We find, in addition to the
interpolating solutions studied in our previous paper, black hole solutions and
solutions including the geometry of a capped cylinder. Some possible
implications of the solutions to closed string tachyon condensation are
discussed.
| [
{
"created": "Mon, 19 Feb 2007 04:55:53 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Apr 2007 05:35:49 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Suyama",
"Takao",
""
]
] | We study classical solutions of a low energy effective theory of a string theory with tachyons. With a certain ansatz, we obtain all possible solutions which are weakly coupled and weakly curved. We find, in addition to the interpolating solutions studied in our previous paper, black hole solutions and solutions including the geometry of a capped cylinder. Some possible implications of the solutions to closed string tachyon condensation are discussed. |
1309.3362 | Alexander Krikun | A. Gorsky, P. N. Kopnin, A. Krikun | Baryon as dyonic instanton-II. Baryon mass versus chiral condensate | 24 pages, 2 figures, 2 tables. v.2: references added | Phys. Rev. D 89, 026012 (2014) | 10.1103/PhysRevD.89.026012 | ITEP-TH 26/13 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the description of baryon as the dyonic instanton in holographic
QCD. The solution generalizes the Skyrmion taking into account the infinite
tower of vector and axial mesons as well as the chiral condensate. We construct
the solution with unit baryon charge and study the dependence of its mass on
the chiral condensate. The elegant explanation of the Ioffe's formula has been
found and we speculate on the relation between physical scales of the chiral
and conformal symmetry breaking.
| [
{
"created": "Fri, 13 Sep 2013 04:45:12 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2013 10:31:19 GMT",
"version": "v2"
}
] | 2014-02-05 | [
[
"Gorsky",
"A.",
""
],
[
"Kopnin",
"P. N.",
""
],
[
"Krikun",
"A.",
""
]
] | We discuss the description of baryon as the dyonic instanton in holographic QCD. The solution generalizes the Skyrmion taking into account the infinite tower of vector and axial mesons as well as the chiral condensate. We construct the solution with unit baryon charge and study the dependence of its mass on the chiral condensate. The elegant explanation of the Ioffe's formula has been found and we speculate on the relation between physical scales of the chiral and conformal symmetry breaking. |
2312.06242 | Maxim Bezuglov | M.A. Bezuglov and A.I. Onishchenko | Expansion of hypergeometric functions in terms of polylogarithms with
nontrivial variable change | 27 pages, 1 table, references added, minor typos corrected | Theor.Math.Phys. 219 (2024) 3, 871-896 | 10.1134/S0040577924060011 | null | hep-th hep-ph math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Hypergeometric functions of one and many variables play an important role in
various branches of modern physics and mathematics. Often we have
hypergeometric functions with indices linear dependent on a small parameter
with respect to which one needs to perform Laurent expansions. Moreover such
expansions are desirable to be expressed in terms of well known functions which
can be evaluated with arbitrary precision. To solve this problem we use the
differential equation method and the reduction of corresponding differential
systems to canonical basis. Specifically we will be interested in the
generalized hypergeometric functions of one variable together with Appell and
Lauricella functions and their expansions in terms of Goncharov polylogarithms.
Particular attention will be given to the case of rational indices of
considered hypergeometric functions when the reduction to canonical basis
involves nontrivial variable change. The article comes with a Mathematica
package Diogenes, which provides algorithmic implementation of the required
steps.
| [
{
"created": "Mon, 11 Dec 2023 09:29:05 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Mar 2024 16:17:18 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jul 2024 22:34:25 GMT",
"version": "v3"
}
] | 2024-07-25 | [
[
"Bezuglov",
"M. A.",
""
],
[
"Onishchenko",
"A. I.",
""
]
] | Hypergeometric functions of one and many variables play an important role in various branches of modern physics and mathematics. Often we have hypergeometric functions with indices linear dependent on a small parameter with respect to which one needs to perform Laurent expansions. Moreover such expansions are desirable to be expressed in terms of well known functions which can be evaluated with arbitrary precision. To solve this problem we use the differential equation method and the reduction of corresponding differential systems to canonical basis. Specifically we will be interested in the generalized hypergeometric functions of one variable together with Appell and Lauricella functions and their expansions in terms of Goncharov polylogarithms. Particular attention will be given to the case of rational indices of considered hypergeometric functions when the reduction to canonical basis involves nontrivial variable change. The article comes with a Mathematica package Diogenes, which provides algorithmic implementation of the required steps. |
1705.00452 | Shri Krishna Dr. | R. Kumar and S. Krishna | Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory | LaTeX file, 22 pages, no figures, version to appear in Eur. Phys. J.
C (2017) | Eur. Phys. J. C 77: 387, 2017 | 10.1140/epjc/s10052-017-4954-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the complete sets of the off-shell nilpotent (i.e. s^2_{(a)b} = 0)
and absolutely anticommuting (i.e. s_b s_{ab} + s_{ab} s_b = 0)
Becchi-Rouet-Stora-Tyutin (BRST) (s_b) and anti-BRST (s_{ab}) symmetries for
the (3+1)-dimensional (4D) gauge-invariant massive 2-form theory within the
framework of augmented superfield approach to BRST formalism. In this
formalism, we obtain the coupled (but equivalent) Lagrangian densities which
respect both BRST and anti-BRST symmetries on the constrained hypersurface
defined by the Curci-Ferrari type conditions. The absolute anticommutativity
property of the (anti-)BRST transformations (and corresponding generators) is
ensured by the existence of the Curci-Ferrari type conditions which emerge very
naturally in this formalism. Furthermore, the gauge-invariant restriction plays
a decisive role in deriving the proper (anti-)BRST transformations for the
St{\"u}ckelberg-like vector field.
| [
{
"created": "Mon, 1 May 2017 09:21:58 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 2017 08:17:12 GMT",
"version": "v2"
}
] | 2017-06-20 | [
[
"Kumar",
"R.",
""
],
[
"Krishna",
"S.",
""
]
] | We discuss the complete sets of the off-shell nilpotent (i.e. s^2_{(a)b} = 0) and absolutely anticommuting (i.e. s_b s_{ab} + s_{ab} s_b = 0) Becchi-Rouet-Stora-Tyutin (BRST) (s_b) and anti-BRST (s_{ab}) symmetries for the (3+1)-dimensional (4D) gauge-invariant massive 2-form theory within the framework of augmented superfield approach to BRST formalism. In this formalism, we obtain the coupled (but equivalent) Lagrangian densities which respect both BRST and anti-BRST symmetries on the constrained hypersurface defined by the Curci-Ferrari type conditions. The absolute anticommutativity property of the (anti-)BRST transformations (and corresponding generators) is ensured by the existence of the Curci-Ferrari type conditions which emerge very naturally in this formalism. Furthermore, the gauge-invariant restriction plays a decisive role in deriving the proper (anti-)BRST transformations for the St{\"u}ckelberg-like vector field. |
2008.05139 | Adrita Chakraborty | Adrita Chakraborty and Kamal L. Panigrahi | Neumann-Rosochatius system for (m,n) string in $AdS_3 \times S^3$ with
mixed flux | 25 pages, better presented, abstract modified, some typos corrected,
added references, version to appear in EPJC | null | 10.1140/epjc/s10052-021-09067-y | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | $SL(2,\mathbb{Z})$ invariant action for probe $(m,n)$ string in $AdS_3\times
S^3\times T^4$ with mixed three-form fluxes can be described by an integrable
deformation of an one-dimensional Neumann-Rosochatius (NR) system. We present
the deformed features of the integrable model and study general class of
rotating and pulsating solutions by solving the integrable equations of motion.
For the rotating string, the explicit solutions can be expressed in terms of
elliptic functions. We make use of the integrals of motion to find out the
scaling relation among conserved charges for the particular case of constant
radii solutions. Then we study the closed $(m,n)$ string pulsating in
$R_t\times S^3$. We find the string profile and calculate the total energy of
such pulsating string in terms of oscillation number $(\cal{N})$ and angular
momentum $(\cal{J})$.
| [
{
"created": "Wed, 12 Aug 2020 07:14:22 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2020 06:28:37 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Mar 2021 15:32:49 GMT",
"version": "v3"
}
] | 2021-04-21 | [
[
"Chakraborty",
"Adrita",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | $SL(2,\mathbb{Z})$ invariant action for probe $(m,n)$ string in $AdS_3\times S^3\times T^4$ with mixed three-form fluxes can be described by an integrable deformation of an one-dimensional Neumann-Rosochatius (NR) system. We present the deformed features of the integrable model and study general class of rotating and pulsating solutions by solving the integrable equations of motion. For the rotating string, the explicit solutions can be expressed in terms of elliptic functions. We make use of the integrals of motion to find out the scaling relation among conserved charges for the particular case of constant radii solutions. Then we study the closed $(m,n)$ string pulsating in $R_t\times S^3$. We find the string profile and calculate the total energy of such pulsating string in terms of oscillation number $(\cal{N})$ and angular momentum $(\cal{J})$. |
hep-th/9911101 | Andrew Chamblin | M. Banados, A. Chamblin and G.W. Gibbons | Branes, AdS gravitons and Virasoro symmetry | 4 pages REVTeX | Phys.Rev.D61:081901,2000 | 10.1103/PhysRevD.61.081901 | DAMTP-1999-164, LPTENS.99/47, CTP preprint # 2925 | hep-th | null | We consider travelling waves propagating on the anti-de Sitter (AdS)
background. It is pointed out that for any dimension d, this space of solutions
has a Virasoro symmetry with a non-zero central charge. This result is a
natural generalization to higher dimensions of the three-dimensional
Brown-Henneaux symmetry.
| [
{
"created": "Mon, 15 Nov 1999 22:49:28 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Banados",
"M.",
""
],
[
"Chamblin",
"A.",
""
],
[
"Gibbons",
"G. W.",
""
]
] | We consider travelling waves propagating on the anti-de Sitter (AdS) background. It is pointed out that for any dimension d, this space of solutions has a Virasoro symmetry with a non-zero central charge. This result is a natural generalization to higher dimensions of the three-dimensional Brown-Henneaux symmetry. |
1912.09388 | Poulami Nandi | Arjun Bagchi, Rudranil Basu, Aditya Mehra, and Poulami Nandi | Field Theories on Null Manifolds | 35 pages, v2: accepted version for publication | null | 10.1007/JHEP02(2020)141 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We argue that generic field theories defined on null manifolds should have an
emergent BMS or conformal Carrollian structure. We then focus on a simple
interacting conformal Carrollian theory, viz. Carrollian scalar
electrodynamics. We look at weak (on-shell) and strong invariance (off-shell)
of its equations of motion under conformal Carrollian symmetries. Helmholtz
conditions are necessary and sufficient conditions for a set of equations to
arise from a Lagrangian. We investigate whether the equations of motion of
Carrollian scalar electrodynamics satisfy these conditions. Then we proposed an
action for the electric sector of the theory. This action is the first example
for an interacting conformal Carrollian Field Theory. The proposed action
respects the finite and infinite conformal Carrollian symmetries in d = 4. We
calculate conserved charges corresponding to these finite and infinite
symmetries and then rewrite the conserved charges in terms of the canonical
variables. We finally compute the Poisson brackets for these charges and
confirm that infinite Carrollian conformal algebra is satisfied at the level of
charges.
| [
{
"created": "Thu, 19 Dec 2019 17:06:02 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2020 14:25:29 GMT",
"version": "v2"
}
] | 2020-03-18 | [
[
"Bagchi",
"Arjun",
""
],
[
"Basu",
"Rudranil",
""
],
[
"Mehra",
"Aditya",
""
],
[
"Nandi",
"Poulami",
""
]
] | We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look at weak (on-shell) and strong invariance (off-shell) of its equations of motion under conformal Carrollian symmetries. Helmholtz conditions are necessary and sufficient conditions for a set of equations to arise from a Lagrangian. We investigate whether the equations of motion of Carrollian scalar electrodynamics satisfy these conditions. Then we proposed an action for the electric sector of the theory. This action is the first example for an interacting conformal Carrollian Field Theory. The proposed action respects the finite and infinite conformal Carrollian symmetries in d = 4. We calculate conserved charges corresponding to these finite and infinite symmetries and then rewrite the conserved charges in terms of the canonical variables. We finally compute the Poisson brackets for these charges and confirm that infinite Carrollian conformal algebra is satisfied at the level of charges. |
2306.11212 | Hasan El Moumni | Md Sabir Ali, Hasan El Moumni, Jamal Khalloufi and Karima Masmar | Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT
Sides | 70 pages and 47 figures, a section about CFT has been added and the
title improved | Annals Phys. 465 (2024) 169679 | 10.1016/j.aop.2024.169679 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The thermodynamic criticality of the AdS black holes serves as an important
structure during the thermal phase transition. This paper discusses about the
critical points and their topology during thermal phase transitions of the
Born-Infeld AdS black holes. We make such investigations using two different
topological approaches, namely, using Duan's topological current $\phi$-mapping
theory, and the off-shell free energy. Within Duan's formalism, we observe that
for a given value of the Born-Infeld parameter $b$, there exists an associated
electric charge parameter $Q$, which is highly sensitive to the topological
phase transitions. This way we examine the connections of the first-order phase
transition and the topological nature of the critical points. We find that the
topological nature has a possible breakdown in certain parametric ranges. In
effect, we determine the unconventional and the conventional phase critical
points as the creation (topologically vortex) and annihilation (topologically
anti-vortex) points (pairs). As the second approach, we call the off-shell free
energy to determine the topological classes: of which one corresponds to the
AdS-Schwarzschild black hole phases, while the other provides a possible
topological phase transition. Here we also reveal a novel phase transition
between two unstable phases, namely, the unstable small black hole and the
intermediate black holes. For a certain parametric values of the Born-Infeld
parameter and the pressure, we also study the different topological
descriptions that inevitably correspond to the AdS-Reissner-Nordstr$\Ddot{o}$m
black hole phases. As a consistency check of the critical points during the
topological phase transitions, we study the vortex/anti-vortex annihilation
thermodynamics from local as well as global thermodynamic viewpoint.
| [
{
"created": "Tue, 20 Jun 2023 00:36:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2023 00:10:11 GMT",
"version": "v2"
},
{
"created": "Sun, 12 May 2024 10:23:41 GMT",
"version": "v3"
}
] | 2024-05-14 | [
[
"Ali",
"Md Sabir",
""
],
[
"Moumni",
"Hasan El",
""
],
[
"Khalloufi",
"Jamal",
""
],
[
"Masmar",
"Karima",
""
]
] | The thermodynamic criticality of the AdS black holes serves as an important structure during the thermal phase transition. This paper discusses about the critical points and their topology during thermal phase transitions of the Born-Infeld AdS black holes. We make such investigations using two different topological approaches, namely, using Duan's topological current $\phi$-mapping theory, and the off-shell free energy. Within Duan's formalism, we observe that for a given value of the Born-Infeld parameter $b$, there exists an associated electric charge parameter $Q$, which is highly sensitive to the topological phase transitions. This way we examine the connections of the first-order phase transition and the topological nature of the critical points. We find that the topological nature has a possible breakdown in certain parametric ranges. In effect, we determine the unconventional and the conventional phase critical points as the creation (topologically vortex) and annihilation (topologically anti-vortex) points (pairs). As the second approach, we call the off-shell free energy to determine the topological classes: of which one corresponds to the AdS-Schwarzschild black hole phases, while the other provides a possible topological phase transition. Here we also reveal a novel phase transition between two unstable phases, namely, the unstable small black hole and the intermediate black holes. For a certain parametric values of the Born-Infeld parameter and the pressure, we also study the different topological descriptions that inevitably correspond to the AdS-Reissner-Nordstr$\Ddot{o}$m black hole phases. As a consistency check of the critical points during the topological phase transitions, we study the vortex/anti-vortex annihilation thermodynamics from local as well as global thermodynamic viewpoint. |
2212.12987 | Tatsuki Nakajima | Tatsuki Nakajima, Tadakatsu Sakai, Ryo Yokokura | BCF anomaly and higher-group structure in the low energy effective
theories of mesons | 35 pages | null | 10.1007/JHEP01(2023)175 | KEK-TH-2489 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the BCF anomaly of massless QCD-like theories, first obtained by
Anber and Poppitz, from the viewpoint of the low energy effective theories. We
assume that the QCD-like theories exhibit spontaneous chiral symmetry breaking
due to a quark bilinear condensate. Using the 't Hooft anomaly matching
condition for the BCF anomaly, we find that the low energy effective action is
composed of a chiral Lagrangian and a Wess-Zumino-Witten term together with an
interaction term of the $\eta^\prime$ meson with the background gauge field for
a discrete one-form symmetry. It is shown that the low energy effective action
cancels the quantum inconsistencies associated with $\eta^\prime$ due to an
ambiguity of how to uplift the action to a five-dimensional spacetime with a
boundary. The $\eta^\prime$ term plays a substantial role in exploring the
emergent higher-group structure at low energies.
| [
{
"created": "Mon, 26 Dec 2022 02:12:21 GMT",
"version": "v1"
}
] | 2023-02-15 | [
[
"Nakajima",
"Tatsuki",
""
],
[
"Sakai",
"Tadakatsu",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We discuss the BCF anomaly of massless QCD-like theories, first obtained by Anber and Poppitz, from the viewpoint of the low energy effective theories. We assume that the QCD-like theories exhibit spontaneous chiral symmetry breaking due to a quark bilinear condensate. Using the 't Hooft anomaly matching condition for the BCF anomaly, we find that the low energy effective action is composed of a chiral Lagrangian and a Wess-Zumino-Witten term together with an interaction term of the $\eta^\prime$ meson with the background gauge field for a discrete one-form symmetry. It is shown that the low energy effective action cancels the quantum inconsistencies associated with $\eta^\prime$ due to an ambiguity of how to uplift the action to a five-dimensional spacetime with a boundary. The $\eta^\prime$ term plays a substantial role in exploring the emergent higher-group structure at low energies. |
hep-th/9304028 | Ez | Pavel M. Bleher | Energy--Level Statistics of Model Quantum Systems: Universality and
Scaling in a Lattice--Point Problem | 48 pages, IASSNS-HEP 93/14 | null | 10.1007/BF02186812 | null | hep-th | null | We investigate the statistics of the number $N(R,S)$ of lattice points, $n\in
\Z^2$, in a ``random'' annular domain $\Pi(R,w)=\,(R+w)A\,\setminus RA$, where
$R,w >0$. Here $A$ is a fixed convex set with smooth boundary and $w$ is chosen
so that the area of $\Pi (R,w)$ is $S$. The randomness comes from $R$ being
taken as random ( with a smooth denisity ) in some interval $[c_1T,c_2T]$,
$c_2>c_1>0$. We find that in the limit $T\to\infty $ the variance and
distribution of $\De N=N(R;S)-S$ depends strongly on how $S$ grows with $T$.
There is a saturation regime $S/T\to\infty$, as $T\to\infty$ in which the
fluctuations in $\Delta N$ coming from the two boundaries of $\Pi $, are
independent. Then there is a scaling regime, $S/T\to z$, $0<z<\infty $ in which
the distribution depends on $z$ in an almost periodic way going to a Gaussian
as $z\to\ 0$. The variance in this limit approaches $z$ for ``generic'' $A$ but
can be larger for ``degenerate'' cases. The former behavior is what one would
expect from the Poisson limit of a distribution for annuli of finite area.
| [
{
"created": "Wed, 7 Apr 1993 20:15:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bleher",
"Pavel M.",
""
]
] | We investigate the statistics of the number $N(R,S)$ of lattice points, $n\in \Z^2$, in a ``random'' annular domain $\Pi(R,w)=\,(R+w)A\,\setminus RA$, where $R,w >0$. Here $A$ is a fixed convex set with smooth boundary and $w$ is chosen so that the area of $\Pi (R,w)$ is $S$. The randomness comes from $R$ being taken as random ( with a smooth denisity ) in some interval $[c_1T,c_2T]$, $c_2>c_1>0$. We find that in the limit $T\to\infty $ the variance and distribution of $\De N=N(R;S)-S$ depends strongly on how $S$ grows with $T$. There is a saturation regime $S/T\to\infty$, as $T\to\infty$ in which the fluctuations in $\Delta N$ coming from the two boundaries of $\Pi $, are independent. Then there is a scaling regime, $S/T\to z$, $0<z<\infty $ in which the distribution depends on $z$ in an almost periodic way going to a Gaussian as $z\to\ 0$. The variance in this limit approaches $z$ for ``generic'' $A$ but can be larger for ``degenerate'' cases. The former behavior is what one would expect from the Poisson limit of a distribution for annuli of finite area. |
1801.08097 | Ashok Das | Ashok Das, Atri Deshamukhya, Pushpa Kalauni and S. Panda | Bogoliubov transformation and the thermal operator representation in the
real time formalism | 9 pages, version to be published in Physical Review D | Phys. Rev. D 97, 045015 (2018) | 10.1103/PhysRevD.97.045015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been shown earlier \cite{brandt,brandt1} that, in the mixed space,
there is an unexpected simple relation between any finite temperature graph and
its zero temperature counterpart through a multiplicative scalar operator
(termed thermal operator) which carries the entire temperature dependence. This
was shown to hold only in the imaginary time formalism and the closed time path
($\sigma=0$) of the real time formalism (as well as for its conjugate
$\sigma=1$). We study the origin of this operator from the more fundamental
Bogoliubov transformation which acts, in the momentum space, on the doubled
space of fields in the real time formalisms \cite{takahashi,umezawa,pushpa}. We
show how the ($2\times 2$) Bogoliubov transformation matrix naturally leads to
the scalar thermal operator for $\sigma=0,1$ while it fails for any other value
$0<\sigma<1$. This analysis also suggests that a generalized scalar thermal
operator description, in the mixed space, is possible even for $0<\sigma<1$. We
also show the existence of a scalar thermal operator relation in the momentum
space.
| [
{
"created": "Wed, 24 Jan 2018 17:48:52 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2018 16:31:32 GMT",
"version": "v2"
}
] | 2018-02-28 | [
[
"Das",
"Ashok",
""
],
[
"Deshamukhya",
"Atri",
""
],
[
"Kalauni",
"Pushpa",
""
],
[
"Panda",
"S.",
""
]
] | It has been shown earlier \cite{brandt,brandt1} that, in the mixed space, there is an unexpected simple relation between any finite temperature graph and its zero temperature counterpart through a multiplicative scalar operator (termed thermal operator) which carries the entire temperature dependence. This was shown to hold only in the imaginary time formalism and the closed time path ($\sigma=0$) of the real time formalism (as well as for its conjugate $\sigma=1$). We study the origin of this operator from the more fundamental Bogoliubov transformation which acts, in the momentum space, on the doubled space of fields in the real time formalisms \cite{takahashi,umezawa,pushpa}. We show how the ($2\times 2$) Bogoliubov transformation matrix naturally leads to the scalar thermal operator for $\sigma=0,1$ while it fails for any other value $0<\sigma<1$. This analysis also suggests that a generalized scalar thermal operator description, in the mixed space, is possible even for $0<\sigma<1$. We also show the existence of a scalar thermal operator relation in the momentum space. |
hep-th/0304176 | Khusnutdinov | Nail R. Khusnutdinov | Semiclassical wormholes | 28 pages, 4 figures, revtex4 | Phys.Rev. D67 (2003) 124020 | 10.1103/PhysRevD.67.124020 | null | hep-th gr-qc | null | Smooth-throat wormholes are treated on as possessing quantum fluctuation
energy with scalar massive field as its source. Heat kernel coefficients of the
Laplace operator are calculated in background of the arbitrary-profile throat
wormhole with the help of the zeta-function approach. Two specific profile are
considered. Some arguments are given that the wormholes may exist. It serves as
a solution of semiclassical Einstein equations in the range of specific values
of length and certain radius of wormhole's throat and constant of non-minimal
connection.
| [
{
"created": "Mon, 21 Apr 2003 14:59:44 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Khusnutdinov",
"Nail R.",
""
]
] | Smooth-throat wormholes are treated on as possessing quantum fluctuation energy with scalar massive field as its source. Heat kernel coefficients of the Laplace operator are calculated in background of the arbitrary-profile throat wormhole with the help of the zeta-function approach. Two specific profile are considered. Some arguments are given that the wormholes may exist. It serves as a solution of semiclassical Einstein equations in the range of specific values of length and certain radius of wormhole's throat and constant of non-minimal connection. |
hep-th/9301006 | Kresimir Demeterfi | K. Demeterfi and I. R. Klebanov | Light-cone approach to random surfaces embedded in two dimensions | 15 pages, PHYZZX, PUPT-1370 4 figures available as a postscript file
from kresimir@puhep1.princeton.edu | null | null | null | hep-th | null | We review the recently proposed \lc\ quantization of the matrix model which
is expected to have a critical point describing 2-d quantum gravity coupled to
$c=2$ matter. In the $N\to\infty$ limit, we derive a linear Schroedinger
equation for the free string spectrum. Numerical study of this equation
suggests that the spectrum is tachyonic, and that the string tension diverges
at the critical point.
| [
{
"created": "Tue, 5 Jan 1993 18:19:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Demeterfi",
"K.",
""
],
[
"Klebanov",
"I. R.",
""
]
] | We review the recently proposed \lc\ quantization of the matrix model which is expected to have a critical point describing 2-d quantum gravity coupled to $c=2$ matter. In the $N\to\infty$ limit, we derive a linear Schroedinger equation for the free string spectrum. Numerical study of this equation suggests that the spectrum is tachyonic, and that the string tension diverges at the critical point. |
hep-th/9808014 | Jose M. Figueroa-O'Farrill | BS Acharya, JM Figueroa-O'Farrill, CM Hull and B Spence | Branes at conical singularities and holography | 38 pages (published version) | Adv.Theor.Math.Phys.2:1249-1286,1999 | null | QMW-PH-98-32 | hep-th | null | For supergavrity solutions which are the product of an anti-de Sitter space
with an Einstein space X, we study the relation between the amount of
supersymmetry preserved and the geometry of X. Depending on the dimension and
the amount of supersymmetry, the following geometries for X are possible, in
addition to the maximally supersymmetric spherical geometry: Einstein-Sasaki in
dimension 2k+1, 3-Sasaki in dimension 4k+3, 7-dimensional manifolds of weak G_2
holonomy and 6-dimensional nearly Kaehler manifolds. Many new examples of such
manifolds are presented which are not homogeneous and have escaped earlier
classification efforts. String or M theory in these vacua are conjectured to be
dual to superconformal field theories. The brane solutions interpolating
between these anti-de Sitter near-horizon geometries and the product of
Minkowski space with a cone over X lead to an interpretation of the dual
superconformal field theory as the world-volume theory for branes at a conical
singularity (cone branes). We propose a description of those field theories
whose associated cones are obtained by (hyper-)Kaehler quotients.
| [
{
"created": "Tue, 4 Aug 1998 19:29:28 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 1998 17:42:52 GMT",
"version": "v2"
},
{
"created": "Fri, 14 May 1999 14:29:46 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Acharya",
"BS",
""
],
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"Hull",
"CM",
""
],
[
"Spence",
"B",
""
]
] | For supergavrity solutions which are the product of an anti-de Sitter space with an Einstein space X, we study the relation between the amount of supersymmetry preserved and the geometry of X. Depending on the dimension and the amount of supersymmetry, the following geometries for X are possible, in addition to the maximally supersymmetric spherical geometry: Einstein-Sasaki in dimension 2k+1, 3-Sasaki in dimension 4k+3, 7-dimensional manifolds of weak G_2 holonomy and 6-dimensional nearly Kaehler manifolds. Many new examples of such manifolds are presented which are not homogeneous and have escaped earlier classification efforts. String or M theory in these vacua are conjectured to be dual to superconformal field theories. The brane solutions interpolating between these anti-de Sitter near-horizon geometries and the product of Minkowski space with a cone over X lead to an interpretation of the dual superconformal field theory as the world-volume theory for branes at a conical singularity (cone branes). We propose a description of those field theories whose associated cones are obtained by (hyper-)Kaehler quotients. |
1306.1540 | Mehmet Ozkan | Mehmet Ozkan and Yi Pang | All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity | 28 pages, v3: Typos Corrected, Version appeared in JHEP | JHEP 1308: 042,2013 | 10.1007/JHEP08(2013)042 | MIFPA-13-18 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct supersymmetric completions of various curvature squared terms in
five dimensional supergravity with eight supercharges. Adopting the dilaton
Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar
squared as well as all vector multiplets coupled curvature squared invariants.
Since the minimal off-shell supersymmetric Riemann tensor squared and
Gauss-Bonnet combination in the dilaton Weyl multiplet have been obtained
before, both the minimal off-shell and the vector multiplets coupled curvature
squared invariants in the dilation Weyl multiplet are complete. We also
constructed an off-shell Ricci scalar squared invariant utilizing the standard
Weyl multiplet. The supersymmetric Ricci scalar squared in the standard Weyl
multiplet is coupled to n number of vector multiplets by construction, and it
deforms the very special geometry. We found that in the supersymmetric AdS_5
vacuum, the very special geometry defined on the moduli space is modified in a
simple way. Finally, we study the magnetic string and electric black hole
solutions in the presence of supersymmetric Ricci scalar squared.
| [
{
"created": "Thu, 6 Jun 2013 20:05:11 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2013 05:03:36 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Aug 2013 18:47:59 GMT",
"version": "v3"
}
] | 2013-08-15 | [
[
"Ozkan",
"Mehmet",
""
],
[
"Pang",
"Yi",
""
]
] | We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as well as all vector multiplets coupled curvature squared invariants. Since the minimal off-shell supersymmetric Riemann tensor squared and Gauss-Bonnet combination in the dilaton Weyl multiplet have been obtained before, both the minimal off-shell and the vector multiplets coupled curvature squared invariants in the dilation Weyl multiplet are complete. We also constructed an off-shell Ricci scalar squared invariant utilizing the standard Weyl multiplet. The supersymmetric Ricci scalar squared in the standard Weyl multiplet is coupled to n number of vector multiplets by construction, and it deforms the very special geometry. We found that in the supersymmetric AdS_5 vacuum, the very special geometry defined on the moduli space is modified in a simple way. Finally, we study the magnetic string and electric black hole solutions in the presence of supersymmetric Ricci scalar squared. |
hep-th/9712011 | Mina Aganagic | Mina Aganagic, Martin Gremm | Exact solutions for some N=2 supersymmetric SO(N) gauge theories with
vectors and spinors | 11 pages, no figures | Nucl.Phys. B524 (1998) 207-223 | 10.1016/S0550-3213(98)00221-1 | CALT-68-2147 | hep-th | null | We find exact solutions for N=2 supersymmetric SO(N), N=7,9,10,11,12 gauge
theories with matter in the fundamental and spinor representation. These
theories, with specific numbers of vectors and spinors, arise naturally in the
compactification of type IIA string theory on suitably chosen Calabi-Yau
threefolds. Exact solutions are obtained by using mirror symmetry to find the
corresponding type IIB compactification. We propose generalizations of these
results to cases with arbitrary numbers of massive vectors and spinors.
| [
{
"created": "Sun, 30 Nov 1997 22:26:11 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Aganagic",
"Mina",
""
],
[
"Gremm",
"Martin",
""
]
] | We find exact solutions for N=2 supersymmetric SO(N), N=7,9,10,11,12 gauge theories with matter in the fundamental and spinor representation. These theories, with specific numbers of vectors and spinors, arise naturally in the compactification of type IIA string theory on suitably chosen Calabi-Yau threefolds. Exact solutions are obtained by using mirror symmetry to find the corresponding type IIB compactification. We propose generalizations of these results to cases with arbitrary numbers of massive vectors and spinors. |
2304.03934 | Ioana Coman | Miranda C.N. Cheng, Ioana Coman, Davide Passaro, Gabriele Sgroi | Quantum Modular $\widehat Z{}^G$-Invariants | null | SIGMA 20 (2024), 018, 52 pages | 10.3842/SIGMA.2024.018 | null | hep-th math-ph math.MP math.NT | http://creativecommons.org/licenses/by-sa/4.0/ | We study the quantum modular properties of $\widehat Z{}^G$-invariants of
closed three-manifolds. Higher depth quantum modular forms are expected to play
a central role for general three-manifolds and gauge groups $G$. In particular,
we conjecture that for plumbed three-manifolds whose plumbing graphs have $n$
junction nodes with definite signature and for rank $r$ gauge group $G$, that
$\widehat Z{}^G$ is related to a quantum modular form of depth $nr$. We prove
this for $G={\rm SU}(3)$ and for an infinite class of three-manifolds (weakly
negative Seifert with three exceptional fibers). We also investigate the
relation between the quantum modularity of $\widehat Z{}^G$-invariants of the
same three-manifold with different gauge group $G$. We conjecture a recursive
relation among the iterated Eichler integrals relevant for $\widehat Z{}^G$
with $G={\rm SU}(2)$ and ${\rm SU}(3)$, for negative Seifert manifolds with
three exceptional fibers. This is reminiscent of the recursive structure among
mock modular forms playing the role of Vafa-Witten invariants for ${\rm
SU}(N)$. We prove the conjecture when the three-manifold is moreover an
integral homological sphere.
| [
{
"created": "Sat, 8 Apr 2023 06:46:15 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Mar 2024 09:51:13 GMT",
"version": "v2"
}
] | 2024-03-12 | [
[
"Cheng",
"Miranda C. N.",
""
],
[
"Coman",
"Ioana",
""
],
[
"Passaro",
"Davide",
""
],
[
"Sgroi",
"Gabriele",
""
]
] | We study the quantum modular properties of $\widehat Z{}^G$-invariants of closed three-manifolds. Higher depth quantum modular forms are expected to play a central role for general three-manifolds and gauge groups $G$. In particular, we conjecture that for plumbed three-manifolds whose plumbing graphs have $n$ junction nodes with definite signature and for rank $r$ gauge group $G$, that $\widehat Z{}^G$ is related to a quantum modular form of depth $nr$. We prove this for $G={\rm SU}(3)$ and for an infinite class of three-manifolds (weakly negative Seifert with three exceptional fibers). We also investigate the relation between the quantum modularity of $\widehat Z{}^G$-invariants of the same three-manifold with different gauge group $G$. We conjecture a recursive relation among the iterated Eichler integrals relevant for $\widehat Z{}^G$ with $G={\rm SU}(2)$ and ${\rm SU}(3)$, for negative Seifert manifolds with three exceptional fibers. This is reminiscent of the recursive structure among mock modular forms playing the role of Vafa-Witten invariants for ${\rm SU}(N)$. We prove the conjecture when the three-manifold is moreover an integral homological sphere. |
1801.03466 | Laurel Stephenson Haskins | Michael Dine, Laurel Stephenson Haskins, Lorenzo Ubaldi, and Di Xu | Some Remarks on Anthropic Approaches to the Strong CP Problem | 18 pages, 2 figures | null | 10.1007/JHEP05(2018)171 | SCIPP 18/01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The peculiar value of $\theta$ is a challenge to the notion of an anthropic
landscape. We briefly review the possibility that a suitable axion might arise
from an anthropic requirement of dark matter. We then consider an alternative
suggestion of Kaloper and Terning that $\theta$ might be correlated with the
cosmological constant. We note that in a landscape one expects that $\theta$ is
determined by the expectation value of one or more axions. We discuss how a
discretuum of values of $\theta$ might arise with an energy distribution
dominated by QCD, and find the requirements to be quite stringent. Given such a
discretuum, we find limited circumstances where small $\theta$ might be
selected by anthropic requirements on the cosmological constant.
| [
{
"created": "Wed, 10 Jan 2018 17:28:21 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2018 17:28:56 GMT",
"version": "v2"
},
{
"created": "Thu, 17 May 2018 11:16:57 GMT",
"version": "v3"
}
] | 2018-07-04 | [
[
"Dine",
"Michael",
""
],
[
"Haskins",
"Laurel Stephenson",
""
],
[
"Ubaldi",
"Lorenzo",
""
],
[
"Xu",
"Di",
""
]
] | The peculiar value of $\theta$ is a challenge to the notion of an anthropic landscape. We briefly review the possibility that a suitable axion might arise from an anthropic requirement of dark matter. We then consider an alternative suggestion of Kaloper and Terning that $\theta$ might be correlated with the cosmological constant. We note that in a landscape one expects that $\theta$ is determined by the expectation value of one or more axions. We discuss how a discretuum of values of $\theta$ might arise with an energy distribution dominated by QCD, and find the requirements to be quite stringent. Given such a discretuum, we find limited circumstances where small $\theta$ might be selected by anthropic requirements on the cosmological constant. |
hep-th/9606135 | null | Mary K. Gaillard, Vidyut Jain and Kamran Saririan | Supergravity Coupled to Chiral and Yang-Mills Matter at One Loop | 14 pages | Phys.Lett. B387 (1996) 520-528 | 10.1016/0370-2693(96)01084-2 | LBL-37697, UCB-PTH-95/31, ITP-SB-95-38 | hep-th hep-ph | null | We present the full result for the divergent one-loop contribution to the
effective boson Lagrangian for supergravity coupled to chiral and Yang-Mills
supermultiplets. We also consider the specific case of dilaton couplings in
effective supergravity Lagrangians from superstrings, for which the one-loop
result is considerably simplified.
| [
{
"created": "Thu, 20 Jun 1996 22:55:26 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gaillard",
"Mary K.",
""
],
[
"Jain",
"Vidyut",
""
],
[
"Saririan",
"Kamran",
""
]
] | We present the full result for the divergent one-loop contribution to the effective boson Lagrangian for supergravity coupled to chiral and Yang-Mills supermultiplets. We also consider the specific case of dilaton couplings in effective supergravity Lagrangians from superstrings, for which the one-loop result is considerably simplified. |
1604.04292 | Ling Lin | Ling Lin and Timo Weigand | G4-Flux and Standard Model Vacua in F-theory | 39 pages; v2: typos corrected, appendix on explicit flux
configurations added | null | 10.1016/j.nuclphysb.2016.09.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the geometry of gauge fluxes in four-dimensional F-theory vacua with
gauge group SU(3)xSU(2)xU(1)xU(1) and its implications for phenomenology. The
models are defined by a previously introduced class of elliptic fibrations
whose fibre is given as a cubic hypersurface in ${\rm Bl}_2{\mathbb P}^2$, with
the non-abelian gauge group factors SU(3)xSU(2) engineered torically via the
top construction. To describe gauge fluxes on these fibrations we provide a
classification of the primary vertical middle cohomology group in a fashion
valid for any choice of base space. Using the ideal theoretic technique of
primary decomposition we compute the cohomology classes of the matter surfaces
associated with states charged under the non-abelian gauge group. These
expressions allow us to interpret the cancellation of the pure and mixed
non-abelian anomalies geometrically as a result of the general form of the
matter surfaces, without reference to a specific type of gauge flux. Explicit
results for the chiral indices of all matter states are obtained in terms of
intersection numbers of the base and can be directly applied to any choice of
base consistent with the fibration. As a demonstration we scan for globally
consistent F-theory vacua on $\mathbb P^3$, ${\rm Bl}_1\mathbb P^3$ and ${\rm
Bl}_2 \mathbb{P}^3$, and find a globally consistent flux configuration with the
chiral Standard Model spectrum plus an extra triplet pair, which may be lifted
by a recombination process.
| [
{
"created": "Thu, 14 Apr 2016 20:05:08 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2016 13:04:23 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Lin",
"Ling",
""
],
[
"Weigand",
"Timo",
""
]
] | We study the geometry of gauge fluxes in four-dimensional F-theory vacua with gauge group SU(3)xSU(2)xU(1)xU(1) and its implications for phenomenology. The models are defined by a previously introduced class of elliptic fibrations whose fibre is given as a cubic hypersurface in ${\rm Bl}_2{\mathbb P}^2$, with the non-abelian gauge group factors SU(3)xSU(2) engineered torically via the top construction. To describe gauge fluxes on these fibrations we provide a classification of the primary vertical middle cohomology group in a fashion valid for any choice of base space. Using the ideal theoretic technique of primary decomposition we compute the cohomology classes of the matter surfaces associated with states charged under the non-abelian gauge group. These expressions allow us to interpret the cancellation of the pure and mixed non-abelian anomalies geometrically as a result of the general form of the matter surfaces, without reference to a specific type of gauge flux. Explicit results for the chiral indices of all matter states are obtained in terms of intersection numbers of the base and can be directly applied to any choice of base consistent with the fibration. As a demonstration we scan for globally consistent F-theory vacua on $\mathbb P^3$, ${\rm Bl}_1\mathbb P^3$ and ${\rm Bl}_2 \mathbb{P}^3$, and find a globally consistent flux configuration with the chiral Standard Model spectrum plus an extra triplet pair, which may be lifted by a recombination process. |
2304.10217 | Sanjaye Ramgoolam | Adrian Padellaro, Rajath Radhakrishnan, Sanjaye Ramgoolam | Row-Column duality and combinatorial topological strings | 52 pages + Appendices ; 5 Figures | null | null | QMUL-PH-23-07 | hep-th math-ph math.CO math.GR math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Integrality properties of partial sums over irreducible representations,
along columns of character tables of finite groups, were recently derived using
combinatorial topological string theories (CTST). These CTST were based on
Dijkgraaf-Witten theories of flat $G$-bundles for finite groups $G$ in two
dimensions, denoted $G$-TQFTs. We define analogous combinatorial topological
strings related to two dimensional TQFTs based on fusion coefficients of finite
groups. These TQFTs are denoted as $R(G)$-TQFTs and allow analogous integrality
results to be derived for partial row sums of characters over conjugacy classes
along fixed rows. This relation between the $G$-TQFTs and $R(G)$-TQFTs defines
a row-column duality for character tables, which provides a physical framework
for exploring the mathematical analogies between rows and columns of character
tables. These constructive proofs of integrality are complemented with the
proof of similar and complementary results using the more traditional Galois
theoretic framework for integrality properties of character tables. The partial
row and column sums are used to define generalised partitions of the integer
row and column sums, which are of interest in combinatorial representation
theory.
| [
{
"created": "Thu, 20 Apr 2023 11:22:29 GMT",
"version": "v1"
}
] | 2023-04-21 | [
[
"Padellaro",
"Adrian",
""
],
[
"Radhakrishnan",
"Rajath",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological string theories (CTST). These CTST were based on Dijkgraaf-Witten theories of flat $G$-bundles for finite groups $G$ in two dimensions, denoted $G$-TQFTs. We define analogous combinatorial topological strings related to two dimensional TQFTs based on fusion coefficients of finite groups. These TQFTs are denoted as $R(G)$-TQFTs and allow analogous integrality results to be derived for partial row sums of characters over conjugacy classes along fixed rows. This relation between the $G$-TQFTs and $R(G)$-TQFTs defines a row-column duality for character tables, which provides a physical framework for exploring the mathematical analogies between rows and columns of character tables. These constructive proofs of integrality are complemented with the proof of similar and complementary results using the more traditional Galois theoretic framework for integrality properties of character tables. The partial row and column sums are used to define generalised partitions of the integer row and column sums, which are of interest in combinatorial representation theory. |
hep-th/9409005 | null | Minos Axenides and Arne L. Larsen | Charged Cosmic String Nucleation in de Sitter Space | 12 pages Latex + 3 figures (not included), Nordita 94/38 P | Int.J.Mod.Phys.D4:723-734,1995 | 10.1142/S021827189500048X | null | hep-th | null | We investigate the quantum nucleation of pairs of charged circular cosmic
strings in de Sitter space. By including self-gravity we obtain the classical
potential energy barrier and compute the quantum mechanical tunneling
probability in the semiclassical approximation. We also discuss the classical
evolution of charged circular strings after their nucleation.
| [
{
"created": "Thu, 1 Sep 1994 13:46:40 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Axenides",
"Minos",
""
],
[
"Larsen",
"Arne L.",
""
]
] | We investigate the quantum nucleation of pairs of charged circular cosmic strings in de Sitter space. By including self-gravity we obtain the classical potential energy barrier and compute the quantum mechanical tunneling probability in the semiclassical approximation. We also discuss the classical evolution of charged circular strings after their nucleation. |
1511.03525 | Nico Wintergerst | Gia Dvali, Cesar Gomez and Nico Wintergerst | St\"uckelberg Formulation of Holography | null | Phys. Rev. D 94, 084051 (2016) | 10.1103/PhysRevD.94.084051 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest that holography can be formulated in terms of the information
capacity of the St\"uckelberg degrees of freedom that maintain gauge invariance
of the theory in the presence of an information boundary. These St\"uckelbergs
act as qubits that account for a certain fraction of quantum information. Their
information capacity is measured by the ratio of the inverse St\"uckelberg
energy gap to the size of the system. Systems with the smallest gap are
maximally holographic. For massless gauge systems this information measure is
universally equal to the inverse coupling evaluated at the systems' length
scale. In this language it becomes very transparent why the St\"uckelberg
information capacity of black holes saturates the Bekenstein bound and accounts
for the entire information of the system. The physical reason is that the
strength of quantum interaction is bounded from below by the gravitational
coupling, which scales as area. Observing the striking similarity between the
scalings of the energy gap of the boundary St\"uckelberg modes and the
Bogoliubov modes of critical many-body systems, we establish a connection
between holography and quantum criticality through the correspondence between
these modes.
| [
{
"created": "Wed, 11 Nov 2015 15:03:08 GMT",
"version": "v1"
}
] | 2016-11-02 | [
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Wintergerst",
"Nico",
""
]
] | We suggest that holography can be formulated in terms of the information capacity of the St\"uckelberg degrees of freedom that maintain gauge invariance of the theory in the presence of an information boundary. These St\"uckelbergs act as qubits that account for a certain fraction of quantum information. Their information capacity is measured by the ratio of the inverse St\"uckelberg energy gap to the size of the system. Systems with the smallest gap are maximally holographic. For massless gauge systems this information measure is universally equal to the inverse coupling evaluated at the systems' length scale. In this language it becomes very transparent why the St\"uckelberg information capacity of black holes saturates the Bekenstein bound and accounts for the entire information of the system. The physical reason is that the strength of quantum interaction is bounded from below by the gravitational coupling, which scales as area. Observing the striking similarity between the scalings of the energy gap of the boundary St\"uckelberg modes and the Bogoliubov modes of critical many-body systems, we establish a connection between holography and quantum criticality through the correspondence between these modes. |
hep-th/9505177 | Makoto Sakaguchi | Makoto SAKAGUCHI (Osaka Univ.) | Four-Dimensional N=2(4) Superstring Backgrounds and The Real Heavens | 21 pages, plain tex | Int.J.Mod.Phys. A11 (1996) 1279-1298 | 10.1142/S0217751X96000572 | OU-HET 213 | hep-th | null | We study N=2(4) superstring backgrounds which are four-dimensional
non-\Kahlerian with non-trivial dilaton and torsion fields. In particular we
consider the case that the backgrounds possess at least one $U(1)$ isometry and
are characterized by the continual Toda equation and the Laplace equation. We
obtain a string background associated with a non-trivial solution of the
continual Toda equation, which is mapped, under the T-duality transformation,
to the hyper-\Kahler Taub-NUT instanton background. It is shown that the
integrable property of the non-\Kahlerian spaces have the direct origin in the
real heavens: real, self-dual, euclidean, Einstein spaces. The Laplace equation
and the continual Toda equation imposed on quasi-\Kahler geometry for
consistent string propagation are related to the self-duality conditions of the
real heavens with ``translational'' and ``rotational''Killing symmetry
respectively.
| [
{
"created": "Tue, 30 May 1995 12:41:37 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"SAKAGUCHI",
"Makoto",
"",
"Osaka Univ."
]
] | We study N=2(4) superstring backgrounds which are four-dimensional non-\Kahlerian with non-trivial dilaton and torsion fields. In particular we consider the case that the backgrounds possess at least one $U(1)$ isometry and are characterized by the continual Toda equation and the Laplace equation. We obtain a string background associated with a non-trivial solution of the continual Toda equation, which is mapped, under the T-duality transformation, to the hyper-\Kahler Taub-NUT instanton background. It is shown that the integrable property of the non-\Kahlerian spaces have the direct origin in the real heavens: real, self-dual, euclidean, Einstein spaces. The Laplace equation and the continual Toda equation imposed on quasi-\Kahler geometry for consistent string propagation are related to the self-duality conditions of the real heavens with ``translational'' and ``rotational''Killing symmetry respectively. |
2005.03125 | David Ho | David L.-J. Ho, Arttu Rajantie | The Electroweak Sphaleron in a strong magnetic field | 8 pages, 5 figures; corrected numerical error in Higgs self coupling,
added references and minor corrections | Phys. Rev. D 102, 053002 (2020) | 10.1103/PhysRevD.102.053002 | IMPERIAL-TP-2020-DH-01 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In an external magnetic field, the energy of the electroweak
sphaleron---representing the energy barrier to baryon and lepton number
violation---decreases but remains nonzero until the upper Ambjorn-Olesen
critical field strength set by the Higgs mass and the electric charge, where it
vanishes. We demonstrate this by numerically computing the sphaleron
configuration in the presence of an external magnetic field, over the full
range of field strengths until the energy barrier vanishes. We discuss the
implications for baryogenesis in the early universe, and the possibility of
observing of baryon and lepton number violation in heavy-ion collisions.
| [
{
"created": "Wed, 6 May 2020 20:46:04 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 10:30:02 GMT",
"version": "v2"
}
] | 2020-09-16 | [
[
"Ho",
"David L. -J.",
""
],
[
"Rajantie",
"Arttu",
""
]
] | In an external magnetic field, the energy of the electroweak sphaleron---representing the energy barrier to baryon and lepton number violation---decreases but remains nonzero until the upper Ambjorn-Olesen critical field strength set by the Higgs mass and the electric charge, where it vanishes. We demonstrate this by numerically computing the sphaleron configuration in the presence of an external magnetic field, over the full range of field strengths until the energy barrier vanishes. We discuss the implications for baryogenesis in the early universe, and the possibility of observing of baryon and lepton number violation in heavy-ion collisions. |
1307.3773 | Carlos Hoyos Badajoz | Sophia K. Domokos, Carlos Hoyos and Jacob Sonnenschein | Stability conditions for spatially modulated phases | 28 pages, 6 figures, references added | null | 10.1007/JHEP11(2013)172 | TAUP-2970/13, WIS/08/13-JUL-DPPA | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a novel set of stability conditions for vacua with broken
Lorentz symmetry. The first class of conditions require that the energy be
minimized under small geometric deformations, which translates into requiring
the positivity of a "stiffness" four-tensor. The second class of conditions
requires that stress forces be restoring under small deformations. We then
apply these conditions to examples of recently-discovered spatially modulated
(or "striped") phases in holographic models of superconductors and high-density
QCD. For backreacted solutions we find that the pressure condition is
equivalent to thermodynamic stability. For probe solutions, however, these
conditions are in conflict with the minimization of the free energy. This
suggests that either the solutions are unstable or the definition of the free
energy in the probe approximation must be revised for these solutions.
| [
{
"created": "Sun, 14 Jul 2013 20:02:23 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Aug 2013 15:25:17 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Domokos",
"Sophia K.",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | We introduce a novel set of stability conditions for vacua with broken Lorentz symmetry. The first class of conditions require that the energy be minimized under small geometric deformations, which translates into requiring the positivity of a "stiffness" four-tensor. The second class of conditions requires that stress forces be restoring under small deformations. We then apply these conditions to examples of recently-discovered spatially modulated (or "striped") phases in holographic models of superconductors and high-density QCD. For backreacted solutions we find that the pressure condition is equivalent to thermodynamic stability. For probe solutions, however, these conditions are in conflict with the minimization of the free energy. This suggests that either the solutions are unstable or the definition of the free energy in the probe approximation must be revised for these solutions. |
0904.1035 | Mikhail Shifman | M. Shifman, A. Yung | Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD | 55 pages, 6 figures | Phys.Rev.D79:125012,2009 | 10.1103/PhysRevD.79.125012 | FTPI-MINN-09/13, UMN-TH-2741/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In N=2 supersymmetric QCD with the U(N) gauge group and N_f>N we study the
crossover transition from the weak coupling regime at large \xi to strong
coupling at small \xi where \xi is the Fayet--Iliopoulos parameter. We find
that at strong coupling a dual non-Abelian weakly coupled N=2 theory exists
which describes low-energy physics at small \xi. The dual gauge group is
U(N_f-N) and the dual theory has N_f flavors of light dyons, to be compared
with N_f quarks in the original U(N) theory. Both, the original and dual
theories are Higgsed and share the same global symmetry SU(N) x SU(N_f-N) x
U(1), albeit the physical meaning of the SU(N) and SU(N_f-N) factors is
different in the large- and small-\xi regimes. Both regimes support non-Abelian
semilocal strings.
In each of these two regimes particles that are in the adjoint
representations with respect to one of the factor groups exist in two
varieties: elementary fields and composite states bound by strings. These
varieties interchange upon transition from one regime to the other. We
conjecture that the composite stringy states can be related to Seiberg's M
fields. The bulk duality that we observed translates into a two-dimensional
duality on the world sheet of the non-Abelian strings. At large \xi the
internal dynamics of the semilocal non-Abelian strings is described by the
sigma model of N orientational and (N_f-N) size moduli, while at small \xi the
roles of orientational and size moduli interchange. The BPS spectra of two dual
sigma models (describing confined monopoles/dyons of the bulk theory) coincide.
It would be interesting to trace parallels between the non-Abelian duality we
found and string theory constructions.
| [
{
"created": "Mon, 6 Apr 2009 23:44:47 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] | In N=2 supersymmetric QCD with the U(N) gauge group and N_f>N we study the crossover transition from the weak coupling regime at large \xi to strong coupling at small \xi where \xi is the Fayet--Iliopoulos parameter. We find that at strong coupling a dual non-Abelian weakly coupled N=2 theory exists which describes low-energy physics at small \xi. The dual gauge group is U(N_f-N) and the dual theory has N_f flavors of light dyons, to be compared with N_f quarks in the original U(N) theory. Both, the original and dual theories are Higgsed and share the same global symmetry SU(N) x SU(N_f-N) x U(1), albeit the physical meaning of the SU(N) and SU(N_f-N) factors is different in the large- and small-\xi regimes. Both regimes support non-Abelian semilocal strings. In each of these two regimes particles that are in the adjoint representations with respect to one of the factor groups exist in two varieties: elementary fields and composite states bound by strings. These varieties interchange upon transition from one regime to the other. We conjecture that the composite stringy states can be related to Seiberg's M fields. The bulk duality that we observed translates into a two-dimensional duality on the world sheet of the non-Abelian strings. At large \xi the internal dynamics of the semilocal non-Abelian strings is described by the sigma model of N orientational and (N_f-N) size moduli, while at small \xi the roles of orientational and size moduli interchange. The BPS spectra of two dual sigma models (describing confined monopoles/dyons of the bulk theory) coincide. It would be interesting to trace parallels between the non-Abelian duality we found and string theory constructions. |
hep-th/0101050 | Davide Fabbri | Davide Fabbri and Pietro Fr\`e | Shadow multiplets and superHiggs mechanism | 10 pages, latex. To appear in the proceedings of the RTN conference
``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'' (Berlin, October 2000) | Fortsch.Phys. 49 (2001) 475-483 | 10.1002/1521-3978(200105)49:4/6<475::AID-PROP475>3.3.CO;2-Y | KUL-TH/2001/1 | hep-th | null | We discuss a general feature of Freund Rubin compactifications that was
previously overlooked. It consist in a curious pairing, which we call a shadow
relation, of completely different (in terms of spin and mass) fields of the
dimensionally reduced theory. Particularly interesting is the case where the
compactification preserves a certain amount of supersymmetry, giving rise to a
shadowing phenomenon between whole supermultiplets of fields. In particular,
there are strong suggestions about the consistency of a massive truncation of
11D supergravity to the massless modes of the graviton supermultiplet plus the
massive modes of its shadow partner. This fact has important consequences in
the ${\cal N}=2$ and ${\cal N}=3$ cases, which seem to realize respectively a
Higgs or a superHiggs phenomenon. In other words, we are led to reinterpret the
dimensionally reduced theory as a spontaneously broken phase of some higher
(super)symmetric theory.
| [
{
"created": "Tue, 9 Jan 2001 10:11:14 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Fabbri",
"Davide",
""
],
[
"Frè",
"Pietro",
""
]
] | We discuss a general feature of Freund Rubin compactifications that was previously overlooked. It consist in a curious pairing, which we call a shadow relation, of completely different (in terms of spin and mass) fields of the dimensionally reduced theory. Particularly interesting is the case where the compactification preserves a certain amount of supersymmetry, giving rise to a shadowing phenomenon between whole supermultiplets of fields. In particular, there are strong suggestions about the consistency of a massive truncation of 11D supergravity to the massless modes of the graviton supermultiplet plus the massive modes of its shadow partner. This fact has important consequences in the ${\cal N}=2$ and ${\cal N}=3$ cases, which seem to realize respectively a Higgs or a superHiggs phenomenon. In other words, we are led to reinterpret the dimensionally reduced theory as a spontaneously broken phase of some higher (super)symmetric theory. |
1207.5489 | Sever Amit | Nikolay Gromov and Amit Sever | Analytic Solution of Bremsstrahlung TBA | 50 pages, 5 figures. v2: references added, JHEP version | null | 10.1007/JHEP11(2012)075 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the quark--anti-quark potential on the three sphere or the
generalized cusp anomalous dimension in planar N=4 SYM. We concentrate on the
vacuum potential in the near BPS limit with $L$ units of R-charge.
Equivalently, we study the anomalous dimension of a super-Wilson loop with L
local fields inserted at a cusp. The system is described by a recently proposed
infinite set of non-linear integral equations of the Thermodynamic Bethe Ansatz
(TBA) type. That system of TBA equations is very similar to the one of the
spectral problem but simplifies a bit in the near BPS limit. Using techniques
based on the Y-system of functional equations we first reduced the infinite
system of TBA equations to a Finite set of Nonlinear Integral Equations
(FiNLIE). Then we solve the FiNLIE system analytically, obtaining a simple
analytic result for the potential! Surprisingly, we find that the system has
equivalent descriptions in terms of an effective Baxter equation and in terms
of a matrix model. At L=0, our result matches the one obtained before using
localization techniques. At all other L's, the result is new. Having a new
parameter, L, allows us to take the large L classical limit. We use the matrix
model description to solve the classical limit and match the result with a
string theory computation. Moreover, we find that the classical string
algebraic curve matches the algebraic curve arising from the matrix model.
| [
{
"created": "Mon, 23 Jul 2012 19:12:52 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Nov 2012 22:00:58 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Gromov",
"Nikolay",
""
],
[
"Sever",
"Amit",
""
]
] | We consider the quark--anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N=4 SYM. We concentrate on the vacuum potential in the near BPS limit with $L$ units of R-charge. Equivalently, we study the anomalous dimension of a super-Wilson loop with L local fields inserted at a cusp. The system is described by a recently proposed infinite set of non-linear integral equations of the Thermodynamic Bethe Ansatz (TBA) type. That system of TBA equations is very similar to the one of the spectral problem but simplifies a bit in the near BPS limit. Using techniques based on the Y-system of functional equations we first reduced the infinite system of TBA equations to a Finite set of Nonlinear Integral Equations (FiNLIE). Then we solve the FiNLIE system analytically, obtaining a simple analytic result for the potential! Surprisingly, we find that the system has equivalent descriptions in terms of an effective Baxter equation and in terms of a matrix model. At L=0, our result matches the one obtained before using localization techniques. At all other L's, the result is new. Having a new parameter, L, allows us to take the large L classical limit. We use the matrix model description to solve the classical limit and match the result with a string theory computation. Moreover, we find that the classical string algebraic curve matches the algebraic curve arising from the matrix model. |
hep-th/9906033 | Dimitar Mladenov | A.M. Khvedelidze and D.M. Mladenov | Euler-Calogero-Moser system from SU(2) Yang-Mills theory | Revtex, 14 pages, no figures. Abstract changed, strata analysis have
been included, typos corrected, references added | Phys.Rev. D62 (2000) 125016 | 10.1103/PhysRevD.62.125016 | null | hep-th | null | The relation between SU(2) Yang-Mills mechanics, originated from the
4-dimensional SU(2) Yang-Mills theory under the supposition of spatial
homogeneity of the gauge fields, and the Euler-Calogero-Moser model is
discussed in the framework of Hamiltonian reduction. Two kinds of reductions of
the degrees of freedom are considered: due to the gauge invariance and due to
the discrete symmetry. In the former case, it is shown that after elimination
of the gauge degrees of freedom from the SU(2) Yang-Mills mechanics the
resulting unconstrained system represents the ID_3 Euler-Calogero-Moser model
with an external fourth-order potential. Whereas in the latter, the IA_6
Euler-Calogero-Moser model embedded in an external potential is derived whose
projection onto the invariant submanifold through the discrete symmetry
coincides again with the SU(2) Yang-Mills mechanics. Based on this connection,
the equations of motion of the SU(2) Yang-Mills mechanics in the limit of the
zero coupling constant are presented in the Lax form.
| [
{
"created": "Fri, 4 Jun 1999 12:06:48 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jun 1999 17:03:51 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Mar 2000 03:56:42 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Khvedelidze",
"A. M.",
""
],
[
"Mladenov",
"D. M.",
""
]
] | The relation between SU(2) Yang-Mills mechanics, originated from the 4-dimensional SU(2) Yang-Mills theory under the supposition of spatial homogeneity of the gauge fields, and the Euler-Calogero-Moser model is discussed in the framework of Hamiltonian reduction. Two kinds of reductions of the degrees of freedom are considered: due to the gauge invariance and due to the discrete symmetry. In the former case, it is shown that after elimination of the gauge degrees of freedom from the SU(2) Yang-Mills mechanics the resulting unconstrained system represents the ID_3 Euler-Calogero-Moser model with an external fourth-order potential. Whereas in the latter, the IA_6 Euler-Calogero-Moser model embedded in an external potential is derived whose projection onto the invariant submanifold through the discrete symmetry coincides again with the SU(2) Yang-Mills mechanics. Based on this connection, the equations of motion of the SU(2) Yang-Mills mechanics in the limit of the zero coupling constant are presented in the Lax form. |
0706.1015 | Charalampos Bogdanos | C. Bogdanos, A. Dimitriadis and K. Tamvakis | Synergistic Gravity and the Role of Resonances in GRS-Inspired
Braneworlds | 18 pages, 3 figures, added 1 figure, revised version as published in
Class. Quant. Grav | Class.Quant.Grav.25:045008,2008 | 10.1088/0264-9381/25/4/045008 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 5D braneworld models of quasi-localized gravity in which 4D
gravity is reproduced at intermediate scales while the extra dimension opens up
at both the very short and the very long distances, where the geometry is flat.
Our main interest is the interplay between the zero mode of these models,
whenever a normalizable zero mode exists, and the effects of zero energy
graviton resonant modes coming from the contributions of massive KK modes. We
first consider a compactified version of the GRS model and find that
quasi-localized gravity is characterized by a scale for which both the
resonance and the zero mode have significant contribution to 4D gravity. Above
this scale, gravity is primarily mediated by the zero mode, while the resonance
gives only minor corrections. Next, we consider an asymmetric version of the
standard non-compact GRS model, characterized by different cosmological
constants on each AdS side. We show that a resonance is present but the
asymmetry, through the form of the localizing potential, can weaken it,
resulting in a shorter lifetime and, thus, in a shorter distance scale for 4D
gravity. As a third model exhibiting quasi-localization, we consider a version
of the GRS model in which the central positive tension brane has been replaced
by a configuration of a scalar field propagating in the bulk.
| [
{
"created": "Thu, 7 Jun 2007 14:54:10 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Mar 2009 23:19:05 GMT",
"version": "v2"
}
] | 2009-03-17 | [
[
"Bogdanos",
"C.",
""
],
[
"Dimitriadis",
"A.",
""
],
[
"Tamvakis",
"K.",
""
]
] | We consider 5D braneworld models of quasi-localized gravity in which 4D gravity is reproduced at intermediate scales while the extra dimension opens up at both the very short and the very long distances, where the geometry is flat. Our main interest is the interplay between the zero mode of these models, whenever a normalizable zero mode exists, and the effects of zero energy graviton resonant modes coming from the contributions of massive KK modes. We first consider a compactified version of the GRS model and find that quasi-localized gravity is characterized by a scale for which both the resonance and the zero mode have significant contribution to 4D gravity. Above this scale, gravity is primarily mediated by the zero mode, while the resonance gives only minor corrections. Next, we consider an asymmetric version of the standard non-compact GRS model, characterized by different cosmological constants on each AdS side. We show that a resonance is present but the asymmetry, through the form of the localizing potential, can weaken it, resulting in a shorter lifetime and, thus, in a shorter distance scale for 4D gravity. As a third model exhibiting quasi-localization, we consider a version of the GRS model in which the central positive tension brane has been replaced by a configuration of a scalar field propagating in the bulk. |
1406.1443 | Brenda Penante | Andreas Brandhuber, Brenda Penante, Gabriele Travaglini, Congkao Wen | The last of the simple remainders | 31 pages, LaTeX | null | 10.1007/JHEP08(2014)100 | QMUL-PH-14-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the n-point two-loop form factors of the half-BPS operators
Tr(phi_{AB}^n) in N=4 super Yang-Mills for arbitrary n >2 using generalised
unitarity and symbols. These form factors are minimal in the sense that the
n^{th} power of the scalar field in the operator requires the presence of at
least n on-shell legs. Infrared divergences are shown to exponentiate as for
amplitudes, reproducing the known cusp and collinear anomalous dimensions at
two loops. We define appropriate infrared-finite remainder functions and
compute them analytically for all n. The results obtained by using the known
expressions of the integral functions involve complicated combinations of
Goncharov multiple polylogarithms, but we show that much simpler expressions
can in fact be derived using the symbol of transcendental functions. For n=3 we
find a very compact remainder function expressed in terms of classical
polylogarithms only. For arbitrary n>3 we are able to write all the remainder
functions in terms of a single compact building block, expressed as a sum of
classical polylogarithms augmented by two multiple polylogarithms. The
decomposition of the symbol into specific components is crucial in order to
single out a natural combination of multiple polylogarithms. Finally, we
analyse in detail the behaviour of these minimal form factors in collinear and
soft limits, which deviates from the usual behaviour of amplitudes and
non-minimal form factors.
| [
{
"created": "Thu, 5 Jun 2014 16:53:57 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Penante",
"Brenda",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Wen",
"Congkao",
""
]
] | We compute the n-point two-loop form factors of the half-BPS operators Tr(phi_{AB}^n) in N=4 super Yang-Mills for arbitrary n >2 using generalised unitarity and symbols. These form factors are minimal in the sense that the n^{th} power of the scalar field in the operator requires the presence of at least n on-shell legs. Infrared divergences are shown to exponentiate as for amplitudes, reproducing the known cusp and collinear anomalous dimensions at two loops. We define appropriate infrared-finite remainder functions and compute them analytically for all n. The results obtained by using the known expressions of the integral functions involve complicated combinations of Goncharov multiple polylogarithms, but we show that much simpler expressions can in fact be derived using the symbol of transcendental functions. For n=3 we find a very compact remainder function expressed in terms of classical polylogarithms only. For arbitrary n>3 we are able to write all the remainder functions in terms of a single compact building block, expressed as a sum of classical polylogarithms augmented by two multiple polylogarithms. The decomposition of the symbol into specific components is crucial in order to single out a natural combination of multiple polylogarithms. Finally, we analyse in detail the behaviour of these minimal form factors in collinear and soft limits, which deviates from the usual behaviour of amplitudes and non-minimal form factors. |
0711.4863 | S. Weinzierl | Christian Bogner and Stefan Weinzierl | Periods and Feynman integrals | 22 pages, appendix added, version to be published | J.Math.Phys.50:042302,2009 | 10.1063/1.3106041 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider multi-loop integrals in dimensional regularisation and the
corresponding Laurent series. We study the integral in the Euclidean region and
where all ratios of invariants and masses have rational values. We prove that
in this case all coefficients of the Laurent series are periods.
| [
{
"created": "Fri, 30 Nov 2007 13:26:30 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2009 07:45:18 GMT",
"version": "v2"
}
] | 2009-11-19 | [
[
"Bogner",
"Christian",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | We consider multi-loop integrals in dimensional regularisation and the corresponding Laurent series. We study the integral in the Euclidean region and where all ratios of invariants and masses have rational values. We prove that in this case all coefficients of the Laurent series are periods. |
2407.11884 | Shailesh Dhasmana | Thomas Basile and Shailesh Dhasmana | Partially-massless higher spin algebras in four dimensions | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a realisation of partially-massless higher spin algebras in four
dimensions in terms of bosonic and fermionic oscillators, using Howe duality
between $sp(4,\mathbb R) \cong so(2,3)$ and $osp(1|2(\ell-1), \mathbb R)$. More
precisely, we show that the centraliser of $osp(1|2(\ell-1),\mathbb R)$ in the
Weyl--Clifford algebra generated by $4$ bosonic and $8(\ell-1)$ fermionic
symbols, modulo $osp(1|2(\ell-1),\mathbb R)$ generators, is isomorphic to the
higher spin algebra of the type-A$_\ell$ theory whose spectrum contains
partially-massless fields of all spins and depths $t=1,3,\dots,2\ell-1$. We
also discuss the possible existence of a deformation of this algebra, which
would encode interaction for the type-A$_\ell$ theory.
| [
{
"created": "Tue, 16 Jul 2024 16:12:39 GMT",
"version": "v1"
}
] | 2024-07-17 | [
[
"Basile",
"Thomas",
""
],
[
"Dhasmana",
"Shailesh",
""
]
] | We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between $sp(4,\mathbb R) \cong so(2,3)$ and $osp(1|2(\ell-1), \mathbb R)$. More precisely, we show that the centraliser of $osp(1|2(\ell-1),\mathbb R)$ in the Weyl--Clifford algebra generated by $4$ bosonic and $8(\ell-1)$ fermionic symbols, modulo $osp(1|2(\ell-1),\mathbb R)$ generators, is isomorphic to the higher spin algebra of the type-A$_\ell$ theory whose spectrum contains partially-massless fields of all spins and depths $t=1,3,\dots,2\ell-1$. We also discuss the possible existence of a deformation of this algebra, which would encode interaction for the type-A$_\ell$ theory. |
hep-th/9407077 | null | Yu.F. Smirnov and M.R. Kibler | Some Aspects of $q$-Boson Calculus | 14 pages, Tex, LYCEN 9242 | null | null | null | hep-th | null | The content of this work is concerned with Jordan-Schwinger calculus using
$q$-deformed bosons.
| [
{
"created": "Thu, 14 Jul 1994 12:07:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Smirnov",
"Yu. F.",
""
],
[
"Kibler",
"M. R.",
""
]
] | The content of this work is concerned with Jordan-Schwinger calculus using $q$-deformed bosons. |
2404.08394 | Mart\'i Berenguer Mim\'o | Mart\'i Berenguer, Anshuman Dey, Javier Mas, Juan Santos-Su\'arez and
Alfonso V. Ramallo | Floquet SYK wormholes | 22 pages + appendices | null | null | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-equilibrium dynamics of two coupled SYK models, conjectured
to be holographically dual to an eternal traversable wormhole in AdS$_2$. We
consider different periodic drivings of the parameters of the system. We
analyze the energy flows in the wormhole and black hole phases of the model as
a function of the driving frequency. Our numerical results show a series of
resonant frequencies in which the energy absorption and heating are enhanced
significantly and the transmission coefficients drop, signalling a closure of
the wormhole. These frequencies correspond to part of the conformal tower of
states and to the boundary graviton of the dual gravitational theory.
Furthermore, we provide evidence supporting the existence of a hot wormhole
phase between the black hole and wormhole phases. When driving the strength of
the separate SYK terms we find that the transmission can be enhanced by
suitably tuning the driving.
| [
{
"created": "Fri, 12 Apr 2024 10:58:09 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 2024 07:50:10 GMT",
"version": "v2"
}
] | 2024-06-10 | [
[
"Berenguer",
"Martí",
""
],
[
"Dey",
"Anshuman",
""
],
[
"Mas",
"Javier",
""
],
[
"Santos-Suárez",
"Juan",
""
],
[
"Ramallo",
"Alfonso V.",
""
]
] | We study the non-equilibrium dynamics of two coupled SYK models, conjectured to be holographically dual to an eternal traversable wormhole in AdS$_2$. We consider different periodic drivings of the parameters of the system. We analyze the energy flows in the wormhole and black hole phases of the model as a function of the driving frequency. Our numerical results show a series of resonant frequencies in which the energy absorption and heating are enhanced significantly and the transmission coefficients drop, signalling a closure of the wormhole. These frequencies correspond to part of the conformal tower of states and to the boundary graviton of the dual gravitational theory. Furthermore, we provide evidence supporting the existence of a hot wormhole phase between the black hole and wormhole phases. When driving the strength of the separate SYK terms we find that the transmission can be enhanced by suitably tuning the driving. |
hep-th/9807174 | George Siopsis | George Siopsis | Black Holes, Newtonian Scattering and Conformal Field Theory | 10 pages, sprocl, presented at the Arnowitt Fest, Texas A&M
University, April 1998. To appear in the Festschrift Volume "Relativity,
Particle Physics, and Cosmology," published by World Scientific | null | null | null | hep-th | null | We discuss non-relativistic scattering by a Newtonian potential. We show that
the gray-body factors associated with scattering by a black hole exhibit the
same functional dependence as scattering amplitudes in the Newtonian limit,
which should be the weak-field limit of any quantum theory of gravity. This
behavior arises independently of the presence of supersymmetry. The connection
to two-dimensional conformal field theory is also discussed.
| [
{
"created": "Wed, 22 Jul 1998 18:15:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Siopsis",
"George",
""
]
] | We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which should be the weak-field limit of any quantum theory of gravity. This behavior arises independently of the presence of supersymmetry. The connection to two-dimensional conformal field theory is also discussed. |
1211.4916 | Muneto Nitta | Muneto Nitta | Matryoshka Skyrmions | 14 pages, 3+1 figures, v2: references added, published version | Nucl.Phys.B872:62-71,2013 | 10.1016/j.nuclphysb.2013.03.003 | null | hep-th cond-mat.other hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a stable Skyrmion in 3+1 dimensions as a sine-Gordon kink inside
a domain wall within a domain wall in an O(4) sigma model with hierarchical
mass terms without the Skyrme term. We also find that higher dimensional
Skyrmions can stably exist with a help of non-Abelian domain walls in an O(N)
model with hierarchical mass terms without a Skyrme term, which leads a
matryoshka structure of Skyrmions.
| [
{
"created": "Wed, 21 Nov 2012 02:25:04 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2013 16:49:20 GMT",
"version": "v2"
}
] | 2013-03-29 | [
[
"Nitta",
"Muneto",
""
]
] | We construct a stable Skyrmion in 3+1 dimensions as a sine-Gordon kink inside a domain wall within a domain wall in an O(4) sigma model with hierarchical mass terms without the Skyrme term. We also find that higher dimensional Skyrmions can stably exist with a help of non-Abelian domain walls in an O(N) model with hierarchical mass terms without a Skyrme term, which leads a matryoshka structure of Skyrmions. |
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