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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1110.6315 | Gottfried Curio | Gottfried Curio | Moduli restriction and Chiral Matter in Heterotic String
Compactifications | 37 pages; comments and references added | JHEP01(2012)015 | 10.1007/JHEP01(2012)015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric heterotic string models, built from a stable holomorphic
vector bundle $V$ on a Calabi-Yau threefold $X$, usually come with many vector
bundle moduli whose stabilisation is a difficult and complex task. It is
therefore of interest to look for bundle constructions which, from the outset,
have as few as possible bundle moduli. One way to reach such a set-up is to
start from a generic construction and to make discrete modifications of it
which are available only over a subset of the bundle moduli space. Turning on
such discrete 'twists' constrains the moduli to the corresponding subset of
their moduli space: the twisted bundle has less parametric freedom. We give an
example of a set-up where this idea can be considered concretely. Such
non-generic twists lead also to new contributions of chiral matter (which
greatly enhances the flexibility in model building); their computation
constitutes the main issue of this note.
| [
{
"created": "Fri, 28 Oct 2011 12:34:42 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2012 11:55:35 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Curio",
"Gottfried",
""
]
] | Supersymmetric heterotic string models, built from a stable holomorphic vector bundle $V$ on a Calabi-Yau threefold $X$, usually come with many vector bundle moduli whose stabilisation is a difficult and complex task. It is therefore of interest to look for bundle constructions which, from the outset, have as few as possible bundle moduli. One way to reach such a set-up is to start from a generic construction and to make discrete modifications of it which are available only over a subset of the bundle moduli space. Turning on such discrete 'twists' constrains the moduli to the corresponding subset of their moduli space: the twisted bundle has less parametric freedom. We give an example of a set-up where this idea can be considered concretely. Such non-generic twists lead also to new contributions of chiral matter (which greatly enhances the flexibility in model building); their computation constitutes the main issue of this note. |
1605.02608 | Anders Bengtsson | Anders K. H. Bengtsson | Quartic amplitudes for Minkowski higher spin | 23 pages, 1 figure. Updated talk given at the Intl. workshop on
Higher Sping Gauge Theory at the Inst. of Advanced Studies at Nanyang
Technological University in Singapore, November 4 - 6, 2015 | null | 10.1142/9789813144101_0018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of finding general quartic interaction terms between fields of
higher helicities on the light-front is discussed from the point of view of
calculating the corresponding amplitudes directly from the cubic vertices using
BCFW recursion. Amplitude based no-go results that has appeared in the
literature are reviewed and discussed and it is pointed out how they may
perhaps be circumvented.
| [
{
"created": "Mon, 9 May 2016 14:43:16 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Bengtsson",
"Anders K. H.",
""
]
] | The problem of finding general quartic interaction terms between fields of higher helicities on the light-front is discussed from the point of view of calculating the corresponding amplitudes directly from the cubic vertices using BCFW recursion. Amplitude based no-go results that has appeared in the literature are reviewed and discussed and it is pointed out how they may perhaps be circumvented. |
1609.03681 | Reiji Yoshioka | Hiroshi Itoyama, Takeshi Oota, Takao Suyama, Reiji Yoshioka | Cubic constraints for the resolvents of the ABJM matrix model and its
cousins | 23 pages; v2: a reference added | Int.J.Mod.Phys. A32 (2017) No. 11, 1750056 | 10.1142/S0217751X17500567 | OCU-PHYS 455 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A set of Schwinger-Dyson equations forming constraints for at most three
resolvent functions are considered for a class of Chern-Simons matter matrix
models with two nodes labelled by a non-vanishing number $n$. The two cases
$n=2$ and $n= -2$ label respectively the ABJM matrix model, which is the
hyperbolic lift of the affine $A_1^{(1)}$ quiver matrix model, and the lens
space matrix model. In the planar limit, we derive two cubic loop equations for
the two planar resolvents. One of these reduces to the quadratic one when $n =
\pm 2$.
| [
{
"created": "Tue, 13 Sep 2016 05:15:41 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2016 11:55:37 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Itoyama",
"Hiroshi",
""
],
[
"Oota",
"Takeshi",
""
],
[
"Suyama",
"Takao",
""
],
[
"Yoshioka",
"Reiji",
""
]
] | A set of Schwinger-Dyson equations forming constraints for at most three resolvent functions are considered for a class of Chern-Simons matter matrix models with two nodes labelled by a non-vanishing number $n$. The two cases $n=2$ and $n= -2$ label respectively the ABJM matrix model, which is the hyperbolic lift of the affine $A_1^{(1)}$ quiver matrix model, and the lens space matrix model. In the planar limit, we derive two cubic loop equations for the two planar resolvents. One of these reduces to the quadratic one when $n = \pm 2$. |
hep-th/9908171 | Stefano Kovacs | Stefano Kovacs (Universita` di Roma "Tor Vergata") | N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence | 228 pages, Ph.D. thesis, LaTeX2e, uses the feynmp, fencyhdr, graphicx
and AMS packages | null | null | ROM2F/99/19 | hep-th | null | This dissertation reviews various aspects of the N=4 supersymmetric
Yang--Mills theory in particular in relation with the AdS/CFT correspondence.
The first two chapters are introductory. The first one contains a description
of the general properties of rigid supersymmetric theories in four dimensions
both at the classical and at the quantum level. The second chapter is a review
of the main properties of the N=4 SYM theory under consideration. Original
results are reported in chapters 3, 4 and 5. A systematic re-analysis of the
perturbative properties of the theory is presented in the third chapter. Two-,
three- and four-point Green functions of elementary fields are computed using
the component formulation and/or the superfield approach and subtleties related
to the gauge-fixing are pointed out. In the fourth chapter, after an
introduction to instanton calculus in supersymmetric gauge theories, the
computation of the one-instanton contributions to Green functions of gauge
invariant composite operators in the semiclassical approximation is reported.
The calculations of four-, eight- and sixteen-point Green functions of
operators in the supercurrent multiplet are reviewed in detail. The final
chapter is devoted to the AdS/SCFT correspondence. Some general aspects are
discussed. Then the attention is focused on the relation between instantons in
N=4 SYM and D-instanton effects in type IIB string theory. The comparison
between instanton contributions to Green functions of composite operators in
the boundary field theory and D-instanton generated terms in the amplitudes
computed in type IIB string theory is performed and agreement between these two
sources of non-perturbative effects is shown.
| [
{
"created": "Thu, 26 Aug 1999 15:46:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kovacs",
"Stefano",
"",
"Universita` di Roma \"Tor Vergata\""
]
] | This dissertation reviews various aspects of the N=4 supersymmetric Yang--Mills theory in particular in relation with the AdS/CFT correspondence. The first two chapters are introductory. The first one contains a description of the general properties of rigid supersymmetric theories in four dimensions both at the classical and at the quantum level. The second chapter is a review of the main properties of the N=4 SYM theory under consideration. Original results are reported in chapters 3, 4 and 5. A systematic re-analysis of the perturbative properties of the theory is presented in the third chapter. Two-, three- and four-point Green functions of elementary fields are computed using the component formulation and/or the superfield approach and subtleties related to the gauge-fixing are pointed out. In the fourth chapter, after an introduction to instanton calculus in supersymmetric gauge theories, the computation of the one-instanton contributions to Green functions of gauge invariant composite operators in the semiclassical approximation is reported. The calculations of four-, eight- and sixteen-point Green functions of operators in the supercurrent multiplet are reviewed in detail. The final chapter is devoted to the AdS/SCFT correspondence. Some general aspects are discussed. Then the attention is focused on the relation between instantons in N=4 SYM and D-instanton effects in type IIB string theory. The comparison between instanton contributions to Green functions of composite operators in the boundary field theory and D-instanton generated terms in the amplitudes computed in type IIB string theory is performed and agreement between these two sources of non-perturbative effects is shown. |
1604.01030 | Denis Klevers | Denis Klevers and Washington Taylor | Three-Index Symmetric Matter Representations of SU(2) in F-Theory from
Non-Tate Form Weierstrass Models | 34 pages, 3 figures | null | 10.1007/JHEP06(2016)171 | CERN-TH-2016-063, MIT-CTP-4773 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an explicit construction of a class of F-theory models with matter in
the three-index symmetric (4) representation of SU(2). This matter is realized
at codimension two loci in the F-theory base where the divisor carrying the
gauge group is singular; the associated Weierstrass model does not have the
form associated with a generic SU(2) Tate model. For 6D theories, the matter is
localized at a triple point singularity of arithmetic genus g=3 in the curve
supporting the SU(2) group. This is the first explicit realization of matter in
F-theory in a representation corresponding to a genus contribution greater than
one. The construction is realized by "unHiggsing" a model with a U(1) gauge
factor under which there is matter with charge q=3. The resulting SU(2) models
can be further unHiggsed to realize non-Abelian G_2xSU(2) models with more
conventional matter content or SU(2)^3 models with trifundamental matter. The
U(1) models used as the basis for this construction do not seem to have a
Weierstrass realization in the general form found by Morrison-Park, suggesting
that a generalization of that form may be needed to incorporate models with
arbitrary matter representations and gauge groups localized on singular
divisors.
| [
{
"created": "Mon, 4 Apr 2016 20:00:02 GMT",
"version": "v1"
}
] | 2016-07-20 | [
[
"Klevers",
"Denis",
""
],
[
"Taylor",
"Washington",
""
]
] | We give an explicit construction of a class of F-theory models with matter in the three-index symmetric (4) representation of SU(2). This matter is realized at codimension two loci in the F-theory base where the divisor carrying the gauge group is singular; the associated Weierstrass model does not have the form associated with a generic SU(2) Tate model. For 6D theories, the matter is localized at a triple point singularity of arithmetic genus g=3 in the curve supporting the SU(2) group. This is the first explicit realization of matter in F-theory in a representation corresponding to a genus contribution greater than one. The construction is realized by "unHiggsing" a model with a U(1) gauge factor under which there is matter with charge q=3. The resulting SU(2) models can be further unHiggsed to realize non-Abelian G_2xSU(2) models with more conventional matter content or SU(2)^3 models with trifundamental matter. The U(1) models used as the basis for this construction do not seem to have a Weierstrass realization in the general form found by Morrison-Park, suggesting that a generalization of that form may be needed to incorporate models with arbitrary matter representations and gauge groups localized on singular divisors. |
hep-th/9204067 | Ken-ichiro Aoki | Kenichro Aoki and Eric D'Hoker | W--Gravity and Generalized Lax Equations for (super) Toda Theory | 9pp | Nucl.Phys. B387 (1992) 576-588 | 10.1016/0550-3213(92)90207-R | null | hep-th | null | We generalize the Lax pair and B\"acklund transformations for Toda and N=1
super Toda equations to the case of arbitrary worldsheet background geometry.
We use the fact that the Toda equations express constant curvature conditions,
which arise naturally from flatness conditions equivalent to the W--gravity
equations of motion.
| [
{
"created": "Wed, 22 Apr 1992 01:07:16 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Aoki",
"Kenichro",
""
],
[
"D'Hoker",
"Eric",
""
]
] | We generalize the Lax pair and B\"acklund transformations for Toda and N=1 super Toda equations to the case of arbitrary worldsheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W--gravity equations of motion. |
1910.01534 | Jacob Bourjaily | Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk,
Matt von Hippel, Matthias Wilhelm | Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted
Projective Space | 44 pages, 31 figures; detailed examples given in ancillary file.
Updated to reflect revisions for publication | JHEP 01 (2020) 078 | 10.1007/JHEP01(2020)078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been demonstrated that Feynman integrals relevant to a wide
range of perturbative quantum field theories involve periods of Calabi-Yaus of
arbitrarily large dimension. While the number of Calabi-Yau manifolds of
dimension three or higher is considerable (if not infinite), those relevant to
most known examples come from a very simple class: degree-$2k$ hypersurfaces in
$k$-dimensional weighted projective space $\mathbb{WP}^{1,\ldots,1,k}$. In this
work, we describe some of the basic properties of these spaces and identify
additional examples of Feynman integrals that give rise to hypersurfaces of
this type. Details of these examples at three and four loops are included as
ancillary files to this work.
| [
{
"created": "Thu, 3 Oct 2019 14:49:01 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2020 15:35:27 GMT",
"version": "v2"
}
] | 2022-08-24 | [
[
"Bourjaily",
"Jacob L.",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Vergu",
"Cristian",
""
],
[
"Volk",
"Matthias",
""
],
[
"von Hippel",
"Matt",
""
],
[
"Wilhelm",
"Matthias",
""
]
] | It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yaus of arbitrarily large dimension. While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-$2k$ hypersurfaces in $k$-dimensional weighted projective space $\mathbb{WP}^{1,\ldots,1,k}$. In this work, we describe some of the basic properties of these spaces and identify additional examples of Feynman integrals that give rise to hypersurfaces of this type. Details of these examples at three and four loops are included as ancillary files to this work. |
hep-th/0604127 | Leonardo Pati\~no | Donald Marolf, Leonardo Pati\~no | The non-zero energy of 2+1 Minkowski space | 16 pages, minor changes | Phys.Rev.D74:024009,2006 | 10.1103/PhysRevD.74.024009 | null | hep-th gr-qc | null | We compute the energy of 2+1 Minkowski space from a covariant action
principle. Using Ashtekar and Varadarajan's characterization of 2+1 asymptotic
flatness, we first show that the 2+1 Einstein-Hilbert action with
Gibbons-Hawking boundary term is both finite on-shell (apart from past and
future boundary terms) and stationary about solutions under arbitrary smooth
asymptotically flat variations of the metric. Thus, this action provides a
valid variational principle and no further boundary terms are required. We then
obtain the gravitational Hamiltonian by direct computation from this action.
The result agrees with the Hamiltonian of Ashtekar and Varadarajan up to an
overall addititve constant. This constant is such that 2+1 Minkowski space is
assigned the energy E = -1/4G, while the upper bound on the energy is set to
zero. Any variational principle with a boundary term built only from the
extrinsic and intrinsic curvatures of the boundary is shown to lead to the same
result. Interestingly, our result is not the flat-space limit of the
corresponding energy -1/8G of 2+1 anti-de Sitter space.
| [
{
"created": "Wed, 19 Apr 2006 03:16:48 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2006 23:33:25 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Marolf",
"Donald",
""
],
[
"Patiño",
"Leonardo",
""
]
] | We compute the energy of 2+1 Minkowski space from a covariant action principle. Using Ashtekar and Varadarajan's characterization of 2+1 asymptotic flatness, we first show that the 2+1 Einstein-Hilbert action with Gibbons-Hawking boundary term is both finite on-shell (apart from past and future boundary terms) and stationary about solutions under arbitrary smooth asymptotically flat variations of the metric. Thus, this action provides a valid variational principle and no further boundary terms are required. We then obtain the gravitational Hamiltonian by direct computation from this action. The result agrees with the Hamiltonian of Ashtekar and Varadarajan up to an overall addititve constant. This constant is such that 2+1 Minkowski space is assigned the energy E = -1/4G, while the upper bound on the energy is set to zero. Any variational principle with a boundary term built only from the extrinsic and intrinsic curvatures of the boundary is shown to lead to the same result. Interestingly, our result is not the flat-space limit of the corresponding energy -1/8G of 2+1 anti-de Sitter space. |
1804.09182 | Vincenzo Scopelliti | Sa\v{s}o Grozdanov, Koenraad Schalm, Vincenzo Scopelliti | Kinetic theory for classical and quantum many-body chaos | V2: 10 pages, 1 figure. References and clarifications added.
Published version | Phys. Rev. E 99, 012206 (2019) | 10.1103/PhysRevE.99.012206 | MIT-CTP/5004 | hep-th cond-mat.stat-mech hep-ph nlin.CD nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For perturbative scalar field theories, the late-time-limit of the
out-of-time-ordered correlation function that measures (quantum) chaos is shown
to be equal to a Boltzmann-type kinetic equation that measures the total gross
(instead of net) particle exchange between phase space cells, weighted by a
function of energy. This derivation gives a concrete form to numerous attempts
to derive chaotic many-body dynamics from ad hoc kinetic equations. A period of
exponential growth in the total gross exchange determines the Lyapunov exponent
of the chaotic system. Physically, the exponential growth is a front
propagating into an unstable state in phase space. As in conventional Boltzmann
transport, which follows from the dynamics of the net particle number density
exchange, the kernel of this kinetic integral equation is also set by the
2-to-2 scattering rate. This provides a mathematically precise statement of the
known fact that in dilute weakly coupled gases transport and scrambling (or
ergodicity) are controlled by the same physics.
| [
{
"created": "Tue, 24 Apr 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jan 2019 09:42:46 GMT",
"version": "v2"
}
] | 2019-01-10 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Schalm",
"Koenraad",
""
],
[
"Scopelliti",
"Vincenzo",
""
]
] | For perturbative scalar field theories, the late-time-limit of the out-of-time-ordered correlation function that measures (quantum) chaos is shown to be equal to a Boltzmann-type kinetic equation that measures the total gross (instead of net) particle exchange between phase space cells, weighted by a function of energy. This derivation gives a concrete form to numerous attempts to derive chaotic many-body dynamics from ad hoc kinetic equations. A period of exponential growth in the total gross exchange determines the Lyapunov exponent of the chaotic system. Physically, the exponential growth is a front propagating into an unstable state in phase space. As in conventional Boltzmann transport, which follows from the dynamics of the net particle number density exchange, the kernel of this kinetic integral equation is also set by the 2-to-2 scattering rate. This provides a mathematically precise statement of the known fact that in dilute weakly coupled gases transport and scrambling (or ergodicity) are controlled by the same physics. |
2309.04471 | Rod Aros Mr. | R. Aros, F. Bugini, D.E. D\'iaz, B. Z\'u\~niga | Multiplicative Anomaly matches Casimir Energy for GJMS Operators on
Spheres | No Fig. 25 Pages, discussion expanded and references added | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | An explicit formula to compute the multiplicative anomaly or defect of
$\zeta$-regularized products of linear factors is derived, by using a Feynman
parametrization, generalizing Shintani-Mizuno formulas. Firstly, this is
applied on $n$-spheres, reproducing known results in the literature. Then, this
framework is applied to a closed Einstein universe at finite temperature,
namely $S^1_{\beta}\times S^{n-1}$. In doing so, it is shown that the standard
Casimir energy for GJMS operators coincides with the accumulated multiplicative
anomaly for the shifted Laplacians that build them up. This equivalence between
Casimir energy and multiplicative anomaly, unnoticed so far to our knowledge,
brings about a new turn regarding the physical significance of the
multiplicative anomaly, putting both now on equal footing. An emergent improved
Casimir energy, that takes into account the multiplicative anomaly among the
building Laplacians, is also discussed.
| [
{
"created": "Fri, 8 Sep 2023 17:59:22 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2023 17:26:44 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Oct 2023 11:42:17 GMT",
"version": "v3"
},
{
"created": "Wed, 6 Dec 2023 17:45:26 GMT",
"version": "v4"
}
] | 2023-12-07 | [
[
"Aros",
"R.",
""
],
[
"Bugini",
"F.",
""
],
[
"Díaz",
"D. E.",
""
],
[
"Zúñiga",
"B.",
""
]
] | An explicit formula to compute the multiplicative anomaly or defect of $\zeta$-regularized products of linear factors is derived, by using a Feynman parametrization, generalizing Shintani-Mizuno formulas. Firstly, this is applied on $n$-spheres, reproducing known results in the literature. Then, this framework is applied to a closed Einstein universe at finite temperature, namely $S^1_{\beta}\times S^{n-1}$. In doing so, it is shown that the standard Casimir energy for GJMS operators coincides with the accumulated multiplicative anomaly for the shifted Laplacians that build them up. This equivalence between Casimir energy and multiplicative anomaly, unnoticed so far to our knowledge, brings about a new turn regarding the physical significance of the multiplicative anomaly, putting both now on equal footing. An emergent improved Casimir energy, that takes into account the multiplicative anomaly among the building Laplacians, is also discussed. |
1305.3049 | Diamandis George | C. Chiou-Lahanas, G. A. Diamandis and B. C. Georgalas | Universe Acceleration in Brane World Models | Comments and discussion added, references added, figures updated.
Version to appear in Modern Physics Letters A. arXiv admin note: text overlap
with arXiv:0904.1484 | null | 10.1142/S0217732314500977 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the cosmology induced on a brane moving in the background of a
five-dimensional black hole, solution of the string effective action. The
evolution, determined by the Israel junction conditions is found to be
compatible with an accelerating universe with the present day acceleration
coming after a decelerating phase. The possible species of the energy-momentum
tensor, localized on the brane, for these solutions to be valid are discussed.
| [
{
"created": "Tue, 14 May 2013 08:01:52 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 20:31:26 GMT",
"version": "v2"
}
] | 2014-06-02 | [
[
"Chiou-Lahanas",
"C.",
""
],
[
"Diamandis",
"G. A.",
""
],
[
"Georgalas",
"B. C.",
""
]
] | We examine the cosmology induced on a brane moving in the background of a five-dimensional black hole, solution of the string effective action. The evolution, determined by the Israel junction conditions is found to be compatible with an accelerating universe with the present day acceleration coming after a decelerating phase. The possible species of the energy-momentum tensor, localized on the brane, for these solutions to be valid are discussed. |
hep-th/9811062 | Alexandre Tort | M. V. Cougo-Pinto, C. Farina, F. C. Santos. A. C. Santos | QED vacuum between an unusual pair of plates | Latex, 16 pages, no figures | J.Phys.A32:4463-4474,1999 | 10.1088/0305-4470/32/24/311 | IF/UFRJ/98/68 | hep-th | null | We consider the photon field between an unusual configuration of infinite
parallel plates: a perfectly conducting plate $(\epsilon\to\infty)$ and an
infinitely permeable one $\mu\to\infty)$. After quantizing the vector potential
in the Coulomb gauge, we obtain explicit expressions for the vacuum expectation
values of field operators of the form $<{\hat E}_i{\hat E}_j>_0$ and $<{\hat
B}_i{\hat B}_j>_0$. These field correlators allow us to reobtain the Casimir
effect for this set up and to discuss the light velocity shift caused by the
presence of plates (Scharnhorst effect \cite{Scharnhorst,Barton,BarScharn}) for
both scalar and spinor QED.
| [
{
"created": "Fri, 6 Nov 1998 19:23:26 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cougo-Pinto",
"M. V.",
""
],
[
"Farina",
"C.",
""
],
[
"Santos",
"F. C. Santos. A. C.",
""
]
] | We consider the photon field between an unusual configuration of infinite parallel plates: a perfectly conducting plate $(\epsilon\to\infty)$ and an infinitely permeable one $\mu\to\infty)$. After quantizing the vector potential in the Coulomb gauge, we obtain explicit expressions for the vacuum expectation values of field operators of the form $<{\hat E}_i{\hat E}_j>_0$ and $<{\hat B}_i{\hat B}_j>_0$. These field correlators allow us to reobtain the Casimir effect for this set up and to discuss the light velocity shift caused by the presence of plates (Scharnhorst effect \cite{Scharnhorst,Barton,BarScharn}) for both scalar and spinor QED. |
hep-th/9310007 | Roger Brooks | R. Brooks | The Cosmological Constant and Volume-Preserving Diffeomorphism
Invariants | 31 pgs, 3 figs (seperate file), Latex, CTP-2247 | Nucl.Phys. B423 (1994) 197-220 | 10.1016/0550-3213(94)90570-3 | null | hep-th | null | Observables in the quantum field theories of $(D-1)$-form fields, $\ca$, on
$D$-dimensional, compact and orientable manifolds, $M$, are computed.
Computations of the vacuum value of $T_{ab}$ find it to be the metric times a
function of the volume of spacetime, $\Omega(M)$. Part of this function of
$\Omega$ is a finite zero-mode contribution. The correlation functions of
another set of operators give intersection numbers on $M$. Furthermore, a
similar computation for products of Wilson area operators results in a function
of the volumes of the intersections of the submanifolds the operators are
defined on. In addition, scalar field couplings are introduced and potentials
are induced after integrating out the $\ca$ field. Lastly, the thermodynamics
of the pure theories is found to be analogous to the zero-point motion of a
scalar particle. The coupling of a Gaussian scalar field to the $\ca$ field is
found to manifest itself on the free energy at high temperatures and/or small
volumes.
| [
{
"created": "Fri, 1 Oct 1993 15:30:11 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 1993 14:54:07 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Nov 1993 14:18:57 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Brooks",
"R.",
""
]
] | Observables in the quantum field theories of $(D-1)$-form fields, $\ca$, on $D$-dimensional, compact and orientable manifolds, $M$, are computed. Computations of the vacuum value of $T_{ab}$ find it to be the metric times a function of the volume of spacetime, $\Omega(M)$. Part of this function of $\Omega$ is a finite zero-mode contribution. The correlation functions of another set of operators give intersection numbers on $M$. Furthermore, a similar computation for products of Wilson area operators results in a function of the volumes of the intersections of the submanifolds the operators are defined on. In addition, scalar field couplings are introduced and potentials are induced after integrating out the $\ca$ field. Lastly, the thermodynamics of the pure theories is found to be analogous to the zero-point motion of a scalar particle. The coupling of a Gaussian scalar field to the $\ca$ field is found to manifest itself on the free energy at high temperatures and/or small volumes. |
hep-th/0507172 | Dmitri Vassilevich | P. van Nieuwenhuizen, D. V. Vassilevich | Consistent boundary conditions for supergravity | 37 pages, v2: references added, v3: misprint corrected | Class.Quant.Grav. 22 (2005) 5029-5051 | 10.1088/0264-9381/22/23/008 | YITP-SB-05/14, LU-ITP 2005/018 | hep-th | null | We derive the complete orbit of boundary conditions for supergravity models
which is closed under the action of all local symmetries of these models, and
which eliminates spurious field equations on the boundary. We show that the
Gibbons-Hawking boundary conditions break local supersymmetry if one imposes
local boundary conditions on all fields. Nonlocal boundary conditions are not
ruled out. We extend our analysis to BRST symmetry and to the Hamiltonian
formulation of these models.
| [
{
"created": "Mon, 18 Jul 2005 17:00:23 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Sep 2005 13:44:39 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jan 2007 18:29:21 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | We derive the complete orbit of boundary conditions for supergravity models which is closed under the action of all local symmetries of these models, and which eliminates spurious field equations on the boundary. We show that the Gibbons-Hawking boundary conditions break local supersymmetry if one imposes local boundary conditions on all fields. Nonlocal boundary conditions are not ruled out. We extend our analysis to BRST symmetry and to the Hamiltonian formulation of these models. |
1912.12377 | Sergei Khlebnikov | Sergei Khlebnikov | A universal holographic prediction for quantum-critical dynamics | 5 pages, 2 figures; minor changes; references added | Phys. Rev. Lett. 125, 031602 (2020) | 10.1103/PhysRevLett.125.031602 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider decay of an initial density or current perturbation at finite
temperature $T$ near a quantum critical point with emergent Lorentz invariance.
We argue that decay of perturbations with wavenumbers $k \gg T$ (in natural
units) is a good testing ground for holography---existence of a dual
gravitational description---in experimentally accessible systems. The reason is
that, computed holographically, the decay rate at large $k$ depends only on the
leading correction to the metric near the boundary, and that is quite
universal. In the limit of zero detuning (when the temperature is the only
dimensionful parameter), the result is a scaling law for the decay rate, with
the exponent that depends only on the dimensionality. We show that this follows
from an analytical argument and is borne out by a numerical study of
quasinormal modes.
| [
{
"created": "Sat, 28 Dec 2019 00:52:25 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 2020 18:46:46 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 2020 17:53:04 GMT",
"version": "v3"
}
] | 2020-07-22 | [
[
"Khlebnikov",
"Sergei",
""
]
] | We consider decay of an initial density or current perturbation at finite temperature $T$ near a quantum critical point with emergent Lorentz invariance. We argue that decay of perturbations with wavenumbers $k \gg T$ (in natural units) is a good testing ground for holography---existence of a dual gravitational description---in experimentally accessible systems. The reason is that, computed holographically, the decay rate at large $k$ depends only on the leading correction to the metric near the boundary, and that is quite universal. In the limit of zero detuning (when the temperature is the only dimensionful parameter), the result is a scaling law for the decay rate, with the exponent that depends only on the dimensionality. We show that this follows from an analytical argument and is borne out by a numerical study of quasinormal modes. |
2408.06192 | Nishal Rai | Nishal Rai and Karl Landsteiner | Hydrodynamic Modes of Holographic Weyl Semimetals | 20 Pages, 12 Figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the quasinormal modes of a holographic model of a Weyl semimetal.
The model features quantum phase transition between a topological phase and a
trivial phase. We put particular emphasis on the hydrodynamic modes and show
that a hydrodynamic mode is present only in the topological Weyl semimetal
phase.
| [
{
"created": "Mon, 12 Aug 2024 14:41:50 GMT",
"version": "v1"
}
] | 2024-08-13 | [
[
"Rai",
"Nishal",
""
],
[
"Landsteiner",
"Karl",
""
]
] | We study the quasinormal modes of a holographic model of a Weyl semimetal. The model features quantum phase transition between a topological phase and a trivial phase. We put particular emphasis on the hydrodynamic modes and show that a hydrodynamic mode is present only in the topological Weyl semimetal phase. |
1812.06777 | Ding-Fang Zeng | Ding-fang Zeng | Exact Inner Metric and Microscopic State of AdS$_3$-Schwarzschld BHs | 12 pages, version to appear in Nucl.Phys.B | Nucl. Phys. B954 (2020) 115001 | 10.1016/j.nuclphysb.2020.115001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Through full solvability of 2+1 dimensional general relativity we derive out
exact dynamic inner metric of collapsing stars with inhomogeneous initial mass
distribution but joining with outside Anti-deSitt-Schwarzschild black holes
smoothly. We prove analytically by standard quantum mechanics that the
log-number of such solutions, or microscopic states of the system is
proportional to the perimeter of the outside black holes. Key formulas for
generalizing to 3+1D Schwarzschild black holes are also presented. Our result
provides a bulk space viewpoint to questions on what the microscopic degrees of
freedom are and who their carriers are in various holographic and/or asymptotic
symmetry methods to black hole entropies. It may also shed light for
singularity theorem and cosmic censorship related researches.
| [
{
"created": "Sat, 1 Dec 2018 12:17:10 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2019 14:03:01 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Apr 2020 15:16:59 GMT",
"version": "v3"
}
] | 2020-04-15 | [
[
"Zeng",
"Ding-fang",
""
]
] | Through full solvability of 2+1 dimensional general relativity we derive out exact dynamic inner metric of collapsing stars with inhomogeneous initial mass distribution but joining with outside Anti-deSitt-Schwarzschild black holes smoothly. We prove analytically by standard quantum mechanics that the log-number of such solutions, or microscopic states of the system is proportional to the perimeter of the outside black holes. Key formulas for generalizing to 3+1D Schwarzschild black holes are also presented. Our result provides a bulk space viewpoint to questions on what the microscopic degrees of freedom are and who their carriers are in various holographic and/or asymptotic symmetry methods to black hole entropies. It may also shed light for singularity theorem and cosmic censorship related researches. |
2406.14605 | Erez Y. Urbach | Ofer Aharony and Erez Y. Urbach | On type II string theory on $AdS_3\times S^3\times T^4$ and symmetric
orbifolds | 28 pages and an appendix (1 figure). v2: added references and minor
changes | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We discuss in detail the $1+1$-dimensional superconformal field theory dual
to type II string theory on $AdS_3\times S^3\times T^4$, emphasizing the string
theoretic aspects of this duality. For one unit of NS-NS 5-brane flux
($Q_5=1$), this string theory has been suggested to be dual to a
grand-canonical ensemble of $T^{4N}/S_N$ free symmetric orbifold CFTs. We show
how the string genus expansion emerges to all orders for the free orbifold
grand-canonical correlation functions. We also discuss how the strong coupling
limit of the NS-NS string theory arises (even at large $N$) in the free
orbifold description, and argue why this limit does not have a weakly coupled
R-R description. The dual CFT includes (for all values of $Q_5$) an extra $T^4$
factor that is decoupled from perturbative string theory. We discuss the
exactly marginal deformations that relate the different values of $Q_5$,
including the precise $J{\bar J}$ deformations mixing this extra $T^4$ with the
symmetric orbifold.
| [
{
"created": "Thu, 20 Jun 2024 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2024 08:50:31 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Aharony",
"Ofer",
""
],
[
"Urbach",
"Erez Y.",
""
]
] | We discuss in detail the $1+1$-dimensional superconformal field theory dual to type II string theory on $AdS_3\times S^3\times T^4$, emphasizing the string theoretic aspects of this duality. For one unit of NS-NS 5-brane flux ($Q_5=1$), this string theory has been suggested to be dual to a grand-canonical ensemble of $T^{4N}/S_N$ free symmetric orbifold CFTs. We show how the string genus expansion emerges to all orders for the free orbifold grand-canonical correlation functions. We also discuss how the strong coupling limit of the NS-NS string theory arises (even at large $N$) in the free orbifold description, and argue why this limit does not have a weakly coupled R-R description. The dual CFT includes (for all values of $Q_5$) an extra $T^4$ factor that is decoupled from perturbative string theory. We discuss the exactly marginal deformations that relate the different values of $Q_5$, including the precise $J{\bar J}$ deformations mixing this extra $T^4$ with the symmetric orbifold. |
hep-th/9502063 | null | L.A. Dickey | On tau-functions of Zakharov-Shabat and other matrix hierarchies of
integrable equations | 22 pages, LaTeX | null | null | null | hep-th | null | Matrix hierarchies are: multi-component KP, general Zakharov-Shabat (ZS) and
its special cases, e.g., AKNS. The ZS comprises all integrable systems having a
form of zero-curvature equations with rational dependence of matrices on a
spectral parameter. The notion of a $\tau$-function is introduced here in the
most general case along with formulas linking $\tau$-functions with wave Baker
functions. The method originally invented by Sato et al. for the KP hierarchy
is used. This method goes immediately from definitions and does not require any
assumption about the character of a solution, being the most general. Applied
to the matrix hierarchies, it involves considerable sophistication. The paper
is self-contained and does not expect any special prerequisite from a reader.
| [
{
"created": "Fri, 10 Feb 1995 18:03:00 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Feb 1995 19:25:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dickey",
"L. A.",
""
]
] | Matrix hierarchies are: multi-component KP, general Zakharov-Shabat (ZS) and its special cases, e.g., AKNS. The ZS comprises all integrable systems having a form of zero-curvature equations with rational dependence of matrices on a spectral parameter. The notion of a $\tau$-function is introduced here in the most general case along with formulas linking $\tau$-functions with wave Baker functions. The method originally invented by Sato et al. for the KP hierarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, it involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader. |
1012.4534 | Dagoberto Malag\'on-Morej\'on DMM | Merab Gogberashvili, Alfredo Herrera-Aguilar and Dagoberto
Malagon-Morejon | An anisotropic standing wave braneworld and associated Sturm-Liouville
problem | 17 pages, uses iopart, presented at GR19, Mexico City, Mexico, 5-9
July 2010 | Class. Quantum Grav. 29 (2012) 025007 | 10.1088/0264-9381/29/2/025007 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a consistent derivation of the recently proposed 5D anisotropic
standing wave braneworld generated by gravity coupled to a phantom-like scalar
field. We explicitly solve the corresponding junction conditions, a fact that
enables us to give a physical interpretation to the anisotropic energy-momentum
tensor components on the brane. So matter on the brane represents an
oscillating fluid which emits anisotropic waves into the bulk. We also analyze
the Sturm-Liouville problem associated to the correct localization condition of
the transverse to the brane metric and scalar fields. It is shown that this
condition restricts the physically meaningful space of solutions for the
localization of the fluctuations of the model.
| [
{
"created": "Tue, 21 Dec 2010 02:26:03 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2011 18:37:20 GMT",
"version": "v2"
}
] | 2012-02-01 | [
[
"Gogberashvili",
"Merab",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Malagon-Morejon",
"Dagoberto",
""
]
] | We present a consistent derivation of the recently proposed 5D anisotropic standing wave braneworld generated by gravity coupled to a phantom-like scalar field. We explicitly solve the corresponding junction conditions, a fact that enables us to give a physical interpretation to the anisotropic energy-momentum tensor components on the brane. So matter on the brane represents an oscillating fluid which emits anisotropic waves into the bulk. We also analyze the Sturm-Liouville problem associated to the correct localization condition of the transverse to the brane metric and scalar fields. It is shown that this condition restricts the physically meaningful space of solutions for the localization of the fluctuations of the model. |
1805.03606 | Romuald A. Janik | Romuald A. Janik | Towards holography for quantum mechanics | 13 pages; v2: references added; v3: discussion slightly extended,
updated to match published version | null | 10.1007/JHEP09(2018)045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a holographic description of the simplest quantum mechanical
system, a 1d free particle. The dual formulation uses a couple of
two-dimensional topological abelian BF theories with appropriate boundary
conditions, interactions and constraints. The aim of this construction is not
to use holography as a tool for quantum mechanics but rather to find the
simplest possible setup in order to explore holography.
| [
{
"created": "Wed, 9 May 2018 16:20:27 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2018 12:13:16 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jan 2019 08:37:23 GMT",
"version": "v3"
}
] | 2019-01-25 | [
[
"Janik",
"Romuald A.",
""
]
] | We derive a holographic description of the simplest quantum mechanical system, a 1d free particle. The dual formulation uses a couple of two-dimensional topological abelian BF theories with appropriate boundary conditions, interactions and constraints. The aim of this construction is not to use holography as a tool for quantum mechanics but rather to find the simplest possible setup in order to explore holography. |
0704.3810 | Michael Mattes Dr. | T.Beck, M.Mattes and M.Sorg | Positronium Groundstate in Relativistic Schroedinger Theory | 80 pages and 2 figures | null | null | null | hep-th | null | The usefulness of the Relativistic Schr\"odinger Theory (RST) is studied in
the field of atomic physics. As a concrete demonstration, the positronium
groundstate is considered in great detail; especially the groundstate energy
$E_0$ is worked out in the non-relativistic approximation and under neglection
of the magnetic interactions between the positron and the electron. The
corresponding RST prediction $(E_0\simeq -6,48 [eV])$ misses the analogous
conventional Schr\"odinger result $(E_0\simeq -6,80 [eV])$ but is closer to the
latter than the corresponding Hartree approximation $(-2,65 [eV])$. The missing
binding energy of $6,80-6,48=0,32 [eV]$ can be attributed to the approximative
use of an SO(3) symmetric interaction potential which in RST, however, is
actually only SO(2) invariant against rotations around the z-axis. It is
expected that, with the correct use of an anisotropic interaction potential due
to the SO(2) symmetry, the RST predictions will come even closer to the
conventional Schr\"odinger result, where however the mathematical structure of
RST relies on exotic (i.e. double-valued) wave functions and on the
corresponding unconventional interaction potentials (e.g. Struve-Neumann
potential).
| [
{
"created": "Sat, 28 Apr 2007 16:41:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Beck",
"T.",
""
],
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] | The usefulness of the Relativistic Schr\"odinger Theory (RST) is studied in the field of atomic physics. As a concrete demonstration, the positronium groundstate is considered in great detail; especially the groundstate energy $E_0$ is worked out in the non-relativistic approximation and under neglection of the magnetic interactions between the positron and the electron. The corresponding RST prediction $(E_0\simeq -6,48 [eV])$ misses the analogous conventional Schr\"odinger result $(E_0\simeq -6,80 [eV])$ but is closer to the latter than the corresponding Hartree approximation $(-2,65 [eV])$. The missing binding energy of $6,80-6,48=0,32 [eV]$ can be attributed to the approximative use of an SO(3) symmetric interaction potential which in RST, however, is actually only SO(2) invariant against rotations around the z-axis. It is expected that, with the correct use of an anisotropic interaction potential due to the SO(2) symmetry, the RST predictions will come even closer to the conventional Schr\"odinger result, where however the mathematical structure of RST relies on exotic (i.e. double-valued) wave functions and on the corresponding unconventional interaction potentials (e.g. Struve-Neumann potential). |
1510.04273 | Xi Dong | Xi Dong, Rong-Xin Miao | Generalized Gravitational Entropy from Total Derivative Action | 24 pages; v2: added references, Sec. 5.2 for corner entanglement, a
toy model in Sec. 5.3, and minor corrections; v3: added one reference,
published version | JHEP 1512:100, 2015 | 10.1007/JHEP12(2015)100 | SU-ITP-15/15 | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the generalized gravitational entropy from total derivative
terms in the gravitational action. Following the method of Lewkowycz and
Maldacena, we find that the generalized gravitational entropy from total
derivatives vanishes. We compare our results with the work of Astaneh,
Patrushev, and Solodukhin. We find that if total derivatives produced nonzero
entropy, the holographic and the field-theoretic universal terms of
entanglement entropy would not match. Furthermore, the second law of
thermodynamics could be violated if the entropy of total derivatives did not
vanish.
| [
{
"created": "Wed, 14 Oct 2015 20:14:16 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Nov 2015 20:15:50 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Dec 2015 17:51:16 GMT",
"version": "v3"
}
] | 2015-12-31 | [
[
"Dong",
"Xi",
""
],
[
"Miao",
"Rong-Xin",
""
]
] | We investigate the generalized gravitational entropy from total derivative terms in the gravitational action. Following the method of Lewkowycz and Maldacena, we find that the generalized gravitational entropy from total derivatives vanishes. We compare our results with the work of Astaneh, Patrushev, and Solodukhin. We find that if total derivatives produced nonzero entropy, the holographic and the field-theoretic universal terms of entanglement entropy would not match. Furthermore, the second law of thermodynamics could be violated if the entropy of total derivatives did not vanish. |
hep-th/0106107 | Kluson Josef | J. Kluson | Proposal for Background Independent Berkovits' Superstring Field Theory | 15 pages | JHEP 0107:039,2001 | 10.1088/1126-6708/2001/07/039 | null | hep-th | null | In this paper we would like to propose the background independent formulation
of Berkovits' superstring field theory. Then we will show that the solution of
equation of motion of this theory leads to the Berkovits' superstring field
theory formulated around particular CFT background.
| [
{
"created": "Wed, 13 Jun 2001 17:40:21 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Kluson",
"J.",
""
]
] | In this paper we would like to propose the background independent formulation of Berkovits' superstring field theory. Then we will show that the solution of equation of motion of this theory leads to the Berkovits' superstring field theory formulated around particular CFT background. |
hep-th/0601147 | S. Q. Wu | Wang Shuang, Wu Shuang-Qing, Xie Fei, and Dan Lin | The first laws of thermodynamics of the (2+1)-dimensional BTZ black
holes and Kerr-de Sitter spacetimes | 3 pages, no figure, revtex4, references added, to appear in CPL | Chin.Phys.Lett. 23 (2006) 1096-1098 | null | null | hep-th gr-qc | null | We investigate the first law of thermodynamics in the case of the
(2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes, in particular,
we focus on the integral mass formulas. It is found that by assuming the
cosmological constant as a variable state parameter, both the differential and
integral mass formulas of the first law of black hole thermodynamics in the
asymptotic flat spacetimes can be directly extended to those of rotating black
holes in anti-de Sitter and de Sitter backgrounds. It should be pointed that
these formulas come into existence in any dimensions also.
| [
{
"created": "Fri, 20 Jan 2006 09:21:58 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 03:30:49 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Feb 2006 14:12:01 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Shuang",
"Wang",
""
],
[
"Shuang-Qing",
"Wu",
""
],
[
"Fei",
"Xie",
""
],
[
"Lin",
"Dan",
""
]
] | We investigate the first law of thermodynamics in the case of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes, in particular, we focus on the integral mass formulas. It is found that by assuming the cosmological constant as a variable state parameter, both the differential and integral mass formulas of the first law of black hole thermodynamics in the asymptotic flat spacetimes can be directly extended to those of rotating black holes in anti-de Sitter and de Sitter backgrounds. It should be pointed that these formulas come into existence in any dimensions also. |
hep-th/0604074 | David A. Kosower | Z. Bern, M. Czakon, D. A. Kosower, R. Roiban, V. A. Smirnov | Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes | 4 pages, 3 figures | Phys.Rev.Lett.97:181601,2006 | 10.1103/PhysRevLett.97.181601 | UCLA/06/TEP/09, Saclay-SPhT-T06/032, WUE-ITP-2006-003 | hep-th | null | We confirm by explicit computation the conjectured all-orders iteration of
planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of
five-point two-loop amplitudes. We compute the required unitarity cuts of the
integrand and evaluate the resulting integrals numerically using a
Mellin--Barnes representation and the automated package of ref.~[1]. This
confirmation of the iteration relation provides further evidence suggesting
that N=4 gauge theory is solvable.
| [
{
"created": "Mon, 10 Apr 2006 17:07:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bern",
"Z.",
""
],
[
"Czakon",
"M.",
""
],
[
"Kosower",
"D. A.",
""
],
[
"Roiban",
"R.",
""
],
[
"Smirnov",
"V. A.",
""
]
] | We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the integrand and evaluate the resulting integrals numerically using a Mellin--Barnes representation and the automated package of ref.~[1]. This confirmation of the iteration relation provides further evidence suggesting that N=4 gauge theory is solvable. |
hep-th/0408179 | Fiorenzo Bastianelli | Peter van Nieuwenhuizen | Supersymmetry, supergravity, superspace and BRST symmetry in a simple
model | Contribution to ``Graphs and Patterns in Mathematics and Theoretical
Physics'', to appear in Proceedings of Symposia in Pure Mathematics, M.
Lyubich and L. Takhtajan editors | null | null | null | hep-th | null | We give an introduction to rigid supersymmetry, supergravity and superspace
by considering a quantum mechanical model. We analyze the constraints in
superspace in this simplified model, and compare the Hamiltonian and Lagrangian
BRST formalism.
| [
{
"created": "Mon, 23 Aug 2004 20:30:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"van Nieuwenhuizen",
"Peter",
""
]
] | We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST formalism. |
0904.1188 | Christoph A. Stephan | Christoph A. Stephan | The Inverse Seesaw Mechanism in Noncommutative Geometry | null | Phys.Rev.D80:065007,2009 | 10.1103/PhysRevD.80.065007 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this publication we will implement the inverse Seesaw mechanism into the
noncommutative framework on the basis of the AC-extension of the Standard
Model. The main difference to the classical AC model is the chiral nature of
the AC fermions with respect to a U(1) extension of the Standard Model gauge
group. It is this extension which allows us to couple the right-handed
neutrinos via a gauge invariant mass term to left-handed A-particles. The
natural scale of these gauge invariant masses is of the order of 10^17 GeV
while the Dirac masses of the neutrino and the AC-particles are generated
dynamically and are therefore much smaller (ca. 1 GeV to 10^6 GeV). From this
configuration a working inverse Seesaw mechanism for the neutrinos is obtained.
| [
{
"created": "Tue, 7 Apr 2009 18:12:36 GMT",
"version": "v1"
}
] | 2009-09-24 | [
[
"Stephan",
"Christoph A.",
""
]
] | In this publication we will implement the inverse Seesaw mechanism into the noncommutative framework on the basis of the AC-extension of the Standard Model. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1) extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos via a gauge invariant mass term to left-handed A-particles. The natural scale of these gauge invariant masses is of the order of 10^17 GeV while the Dirac masses of the neutrino and the AC-particles are generated dynamically and are therefore much smaller (ca. 1 GeV to 10^6 GeV). From this configuration a working inverse Seesaw mechanism for the neutrinos is obtained. |
2001.00020 | Raphaela Wutte | St\'ephane Detournay, Wout Merbis, Gim Seng Ng and Raphaela Wutte | Warped Flatland | 44 pages, 4 figures, 1 Mathematica file, added clarifications,
matches published version | null | 10.1007/JHEP11(2020)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study warped flat geometries in three-dimensional topologically massive
gravity. They are quotients of global warped flat spacetime, whose isometries
are given by the 2-dimensional centrally extended Poincar\'e algebra. The
latter can be obtained as a certain scaling limit of Warped AdS3 space with a
positive cosmological constant. We discuss the causal structure of the
resulting spacetimes using projection diagrams. We study their charges and
thermodynamics, together with asymptotic Killing vectors preserving a
consistent set of boundary conditions including them. The asymptotic symmetry
group is given by a Warped CFT algebra, with a vanishing current level. A
generalization of the derivation of the Warped Cardy formula applies in this
case, reproducing the entropy of the warped flat cosmological spacetimes.
| [
{
"created": "Tue, 31 Dec 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2020 12:32:54 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jan 2021 17:40:57 GMT",
"version": "v3"
}
] | 2021-01-05 | [
[
"Detournay",
"Stéphane",
""
],
[
"Merbis",
"Wout",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Wutte",
"Raphaela",
""
]
] | We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be obtained as a certain scaling limit of Warped AdS3 space with a positive cosmological constant. We discuss the causal structure of the resulting spacetimes using projection diagrams. We study their charges and thermodynamics, together with asymptotic Killing vectors preserving a consistent set of boundary conditions including them. The asymptotic symmetry group is given by a Warped CFT algebra, with a vanishing current level. A generalization of the derivation of the Warped Cardy formula applies in this case, reproducing the entropy of the warped flat cosmological spacetimes. |
1905.03785 | David Kubiznak | Alvaro Ballon Bordo, Finnian Gray, Robie A. Hennigar, David Kubiznak | Misner Gravitational Charges and Variable String Strengths | 9 pages, 1 figure v2: extended version -- added discussion on Noether
charges and charged NUTs | null | 10.1088/1361-6382/ab3d4d | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As shown recently (arXiv:1903.08668), consistent thermodynamics of the
Lorentzian Taub-NUT solutions with Misner strings present can be formulated
provided a new pair of conjugate quantities (related to the NUT parameter)
$\psi-N$ is introduced. In (arXiv:1903.08668) this pair was calculated from the
Euclidean action but no geometrical interpretation for the new quantities was
provided. In this paper we propose that the potential $\psi$ should be
identified with the surface gravity of the Misner string and the conjugate
Misner charge $N$ can be obtained by a Komar-type integration over the tubes
surrounding the string singularities. We show that similar tube contributions
also modify the Komar formula for the thermodynamic volume. To render the
integrals finite we employ the method of Killing co-potentials. By construction
the new charges then satisfy the Smarr relation. Equipped with these
geometrical notions, we generalize the first law for the (possibly charged)
Taub-NUT spacetimes to account for asymmetric distributions of Misner strings
and their potential variable strengths.
| [
{
"created": "Thu, 9 May 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 15:57:55 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Bordo",
"Alvaro Ballon",
""
],
[
"Gray",
"Finnian",
""
],
[
"Hennigar",
"Robie A.",
""
],
[
"Kubiznak",
"David",
""
]
] | As shown recently (arXiv:1903.08668), consistent thermodynamics of the Lorentzian Taub-NUT solutions with Misner strings present can be formulated provided a new pair of conjugate quantities (related to the NUT parameter) $\psi-N$ is introduced. In (arXiv:1903.08668) this pair was calculated from the Euclidean action but no geometrical interpretation for the new quantities was provided. In this paper we propose that the potential $\psi$ should be identified with the surface gravity of the Misner string and the conjugate Misner charge $N$ can be obtained by a Komar-type integration over the tubes surrounding the string singularities. We show that similar tube contributions also modify the Komar formula for the thermodynamic volume. To render the integrals finite we employ the method of Killing co-potentials. By construction the new charges then satisfy the Smarr relation. Equipped with these geometrical notions, we generalize the first law for the (possibly charged) Taub-NUT spacetimes to account for asymmetric distributions of Misner strings and their potential variable strengths. |
hep-th/9310202 | Elias Kiritsis | E. Kiritsis and C. Kounnas | String Propagation in Gravitational Wave Backgrounds | LateX file, 13pp., CERN-TH.7059/93 (Some typos coorected and a few
remarks added) | Phys.Lett. B320 (1994) 264-272; Addendum-ibid. B325 (1994) 536 | 10.1016/0370-2693(94)90655-6 | null | hep-th | null | The Conformal Field Theory of the current algebra of the centrally extended
2-d Euclidean group is analyzed. Its representations can be written in terms of
four free fields (without background charge) with signature ($-$+++). We
construct all irreducible representations of the current algebra with unitary
base out of the free fields and their orbifolds. This is used to investigate
the spectrum and scattering of strings moving in the background of a
gravitational wave. We find that all the dynamics happens in the transverse
space or the longitunal one but not both.
| [
{
"created": "Sun, 31 Oct 1993 20:43:30 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 1993 13:37:39 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Nov 1993 14:08:44 GMT",
"version": "v3"
}
] | 2009-10-22 | [
[
"Kiritsis",
"E.",
""
],
[
"Kounnas",
"C.",
""
]
] | The Conformal Field Theory of the current algebra of the centrally extended 2-d Euclidean group is analyzed. Its representations can be written in terms of four free fields (without background charge) with signature ($-$+++). We construct all irreducible representations of the current algebra with unitary base out of the free fields and their orbifolds. This is used to investigate the spectrum and scattering of strings moving in the background of a gravitational wave. We find that all the dynamics happens in the transverse space or the longitunal one but not both. |
hep-th/0107169 | Edi Halyo | Edi Halyo | De Sitter Entropy and Strings | 9 pages in phyzzx.tex, minor corrections and additions, one reference
added | null | null | null | hep-th | null | We show that the entropy of de Sitter space in any dimension can be
understood as the entropy of a highly excited string located near the horizon.
The string tension is renormalized to $T \sim \Lambda$ due to the large
gravitational redshift near the horizon. The de Sitter temperature is given by
the Hagedorn temperature of the string.
| [
{
"created": "Fri, 20 Jul 2001 06:40:23 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Aug 2001 15:46:41 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Halyo",
"Edi",
""
]
] | We show that the entropy of de Sitter space in any dimension can be understood as the entropy of a highly excited string located near the horizon. The string tension is renormalized to $T \sim \Lambda$ due to the large gravitational redshift near the horizon. The de Sitter temperature is given by the Hagedorn temperature of the string. |
1601.08113 | Andrea Marzolla | Eduardo Conde and Andrea Marzolla | Lorentz Constraints on Massive Three-Point Amplitudes | 31+10 pages, 0 figures. Relevant improvements of the results.
Appendix B added. Version accepted by journal | JHEP 1609 (2016) 041 | 10.1007/JHEP09(2016)041 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the helicity-spinor language we explore the non-perturbative
constraints that Lorentz symmetry imposes on three-point amplitudes where the
asymptotic states can be massive. As it is well known, in the case of only
massless states the three-point amplitude is fixed up to a coupling constant by
these constraints plus some physical requirements. We find that a similar
statement can be made when some of the particles have mass. We derive the
generic functional form of the three-point amplitude by virtue of Lorentz
symmetry, which displays several functional structures accompanied by arbitrary
constants. These constants can be related to the coupling constants of the
theory, but in an unambiguous fashion only in the case of one massive particle.
Constraints on these constants are obtained by imposing that in the UV limit
the massive amplitude matches the massless one. In particular, there is a
certain Lorentz frame, which corresponds to projecting all the massive momenta
along the same null momentum, where the three-point massive amplitude is fully
fixed, and has a universal form.
| [
{
"created": "Fri, 29 Jan 2016 14:06:05 GMT",
"version": "v1"
},
{
"created": "Tue, 24 May 2016 16:39:47 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jun 2016 12:14:45 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Dec 2016 16:53:38 GMT",
"version": "v4"
}
] | 2016-12-09 | [
[
"Conde",
"Eduardo",
""
],
[
"Marzolla",
"Andrea",
""
]
] | Using the helicity-spinor language we explore the non-perturbative constraints that Lorentz symmetry imposes on three-point amplitudes where the asymptotic states can be massive. As it is well known, in the case of only massless states the three-point amplitude is fixed up to a coupling constant by these constraints plus some physical requirements. We find that a similar statement can be made when some of the particles have mass. We derive the generic functional form of the three-point amplitude by virtue of Lorentz symmetry, which displays several functional structures accompanied by arbitrary constants. These constants can be related to the coupling constants of the theory, but in an unambiguous fashion only in the case of one massive particle. Constraints on these constants are obtained by imposing that in the UV limit the massive amplitude matches the massless one. In particular, there is a certain Lorentz frame, which corresponds to projecting all the massive momenta along the same null momentum, where the three-point massive amplitude is fully fixed, and has a universal form. |
2403.01996 | Arpita Mitra | Ki-Seok Kim, Arpita Mitra, Debangshu Mukherjee and Mitsuhiro Nishida | Global shift symmetry on ADM hypersurface: Towards emergent "gravity" | 12 pages, no figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Generalized symmetries and their spontaneous breakdown serve as the
fundamental concept to constrain the many-body entanglement structure, which
allows us to characterize quantum phases of matter and emergent collective
excitations. For example, emergent photons may be understood by spontaneous
1-form symmetry breaking, which results from a long-ranged entanglement
structure between UV microscopic degrees of freedom. In this study, we show
that emergent ``gravity" may also arise in a similar fashion, where ``" has
been used to emphasize that the symmetry-constrained gravitons show
unconventional properties compared to usual gravitons. As the electric 1-form
symmetry in Maxwell theory is realized as a global shift symmetry of the
spatial component of the U(1) gauge field, generated by the electric field, we
demonstrate that a constant shift of the ADM metric on the spatial hypersurface
can be viewed as a global symmetry, generated by the ADM canonical momentum.
Deriving a vector-type conserved charge from the variation of action, we
construct a shift symmetry operator. Considering a Wick rotation, we
demonstrate that a gravitational Wilson loop is charged under the action of
this shift symmetry operator, which thus confirms the existence of a
generalized global symmetry on the ADM hypersurface. Based on the Ward
identity, we show that the spontaneous breaking of this global shift symmetry
may give rise to a non-propagating massless symmetric gauge field at the
boundary of the hypersurface.
| [
{
"created": "Mon, 4 Mar 2024 12:48:02 GMT",
"version": "v1"
}
] | 2024-03-05 | [
[
"Kim",
"Ki-Seok",
""
],
[
"Mitra",
"Arpita",
""
],
[
"Mukherjee",
"Debangshu",
""
],
[
"Nishida",
"Mitsuhiro",
""
]
] | Generalized symmetries and their spontaneous breakdown serve as the fundamental concept to constrain the many-body entanglement structure, which allows us to characterize quantum phases of matter and emergent collective excitations. For example, emergent photons may be understood by spontaneous 1-form symmetry breaking, which results from a long-ranged entanglement structure between UV microscopic degrees of freedom. In this study, we show that emergent ``gravity" may also arise in a similar fashion, where ``" has been used to emphasize that the symmetry-constrained gravitons show unconventional properties compared to usual gravitons. As the electric 1-form symmetry in Maxwell theory is realized as a global shift symmetry of the spatial component of the U(1) gauge field, generated by the electric field, we demonstrate that a constant shift of the ADM metric on the spatial hypersurface can be viewed as a global symmetry, generated by the ADM canonical momentum. Deriving a vector-type conserved charge from the variation of action, we construct a shift symmetry operator. Considering a Wick rotation, we demonstrate that a gravitational Wilson loop is charged under the action of this shift symmetry operator, which thus confirms the existence of a generalized global symmetry on the ADM hypersurface. Based on the Ward identity, we show that the spontaneous breaking of this global shift symmetry may give rise to a non-propagating massless symmetric gauge field at the boundary of the hypersurface. |
1704.00261 | Xavier Calmet | Xavier Calmet and Basem Kamal El-Menoufi | Quantum Corrections to Schwarzschild Black Hole | 14 pages | null | 10.1140/epjc/s10052-017-4802-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using effective field theory techniques, we compute quantum corrections to
spherically symmetric solutions of Einstein's gravity and focus in particular
on the Schwarzschild black hole. Quantum modifications are covariantly encoded
in a non-local effective action. We work to quadratic order in curvatures
simultaneously taking local and non-local corrections into account. Looking for
solutions perturbatively close to that of classical general relativity, we find
that an eternal Schwarzschild black hole remains a solution and receives no
quantum corrections up to this order in the curvature expansion. In contrast,
the field of a massive star receives corrections which are fully determined by
the effective field theory.
| [
{
"created": "Sun, 2 Apr 2017 08:13:55 GMT",
"version": "v1"
}
] | 2017-05-24 | [
[
"Calmet",
"Xavier",
""
],
[
"El-Menoufi",
"Basem Kamal",
""
]
] | Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a non-local effective action. We work to quadratic order in curvatures simultaneously taking local and non-local corrections into account. Looking for solutions perturbatively close to that of classical general relativity, we find that an eternal Schwarzschild black hole remains a solution and receives no quantum corrections up to this order in the curvature expansion. In contrast, the field of a massive star receives corrections which are fully determined by the effective field theory. |
1804.11101 | Nicolas Delporte | Nicolas Delporte and Vincent Rivasseau | The Tensor Track V: Holographic Tensors | 21 pages, Summer school proceedings; v2: more complete author's
affiliation | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the fast developing subject of tensor models for the
NAdS$_2$/NCFT$_1$ holographic correspondence. We include a brief review of the
Sachdev-Ye-Kitaev (SYK) model and then focus on the associated quantum
mechanical tensor models (GW and CTKT). We examine their main features and how
they compare with SYK. To end, we discuss different extensions: the large $D$
limit of matrix-tensor models, the large $N$ expansion of
symmetric/antisymmetric tensors, the use of probes, the construction of a
bilocal action for tensors, some attempts to extend the above models to higher
dimensions and a proposal to break the tensor symmetry.
| [
{
"created": "Mon, 30 Apr 2018 09:48:21 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Sep 2018 22:01:07 GMT",
"version": "v2"
}
] | 2018-09-27 | [
[
"Delporte",
"Nicolas",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | We review the fast developing subject of tensor models for the NAdS$_2$/NCFT$_1$ holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) model and then focus on the associated quantum mechanical tensor models (GW and CTKT). We examine their main features and how they compare with SYK. To end, we discuss different extensions: the large $D$ limit of matrix-tensor models, the large $N$ expansion of symmetric/antisymmetric tensors, the use of probes, the construction of a bilocal action for tensors, some attempts to extend the above models to higher dimensions and a proposal to break the tensor symmetry. |
hep-th/9305172 | null | R.Floreanini and R. Percacci | Average Effective Potential for the Conformal Factor | 8 pages, plain TEX, SISSA 71/93-EP | Nucl.Phys. B436 (1995) 141-162 | 10.1016/0550-3213(95)00479-C | null | hep-th gr-qc | null | In a four dimensional theory of gravity with lagrangian quadratic in
curvature and torsion, we compute the effective action for metrics of the form
$g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard
field-theoretic methods we find that one loop quantum effects produce a
nontrivial effective potential for $\rho$. We explain this unexpected result by
showing how our regularization procedure differs from the one that is usually
adopted in Quantum Gravity. Using the method of the average effective
potential, we compute the scale dependence of the v.e.v. of the conformal
factor.
| [
{
"created": "Sat, 29 May 1993 09:22:17 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Floreanini",
"R.",
""
],
[
"Percacci",
"R.",
""
]
] | In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic methods we find that one loop quantum effects produce a nontrivial effective potential for $\rho$. We explain this unexpected result by showing how our regularization procedure differs from the one that is usually adopted in Quantum Gravity. Using the method of the average effective potential, we compute the scale dependence of the v.e.v. of the conformal factor. |
hep-th/0505136 | Norisuke Sakai | Norisuke Sakai and Yisong Yang | Moduli Space of BPS Walls in Supersymmetric Gauge Theories | 18 pages, a reference added, two typos corrected(v2), several typos
corrected, explanation of total moduli space added(v3) | Commun.Math.Phys. 267 (2006) 783-800 | 10.1007/s00220-006-0083-4 | TIT/HEP-537 | hep-th | null | Existence and uniqueness of the solution are proved for the `master equation'
derived from the BPS equation for the vector multiplet scalar in the U(1) gauge
theory with Nf charged matter hypermultiplets with eight supercharges. This
proof finally establishes the fact that the moduli space of the BPS domain wall
solution is CP^(N_f-1) for the gauge theory at finite gauge couplings.
Therefore the moduli space at finite gauge couplings is topologically the same
manifold as that at infinite gauge coupling, where the gauged linear sigma
model reduces to a nonlinear sigma model. The proof is extended to the U(Nc)
gauge theory with Nf hypermultiplets in the fundamental representation,
provided the moduli matrix of the domain wall solution is U(1)-factorizable.
Thus the dimension of the moduli space of U(Nc) gauge theory is bounded from
below by the dimension of the U(1)-factorizable part of the moduli space. We
also obtain sharp estimates of the asymptotic exponential decay which depend on
both the gauge coupling and the hypermultiplet mass differences.
| [
{
"created": "Mon, 16 May 2005 11:25:06 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2005 00:29:45 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Mar 2006 07:46:53 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Sakai",
"Norisuke",
""
],
[
"Yang",
"Yisong",
""
]
] | Existence and uniqueness of the solution are proved for the `master equation' derived from the BPS equation for the vector multiplet scalar in the U(1) gauge theory with Nf charged matter hypermultiplets with eight supercharges. This proof finally establishes the fact that the moduli space of the BPS domain wall solution is CP^(N_f-1) for the gauge theory at finite gauge couplings. Therefore the moduli space at finite gauge couplings is topologically the same manifold as that at infinite gauge coupling, where the gauged linear sigma model reduces to a nonlinear sigma model. The proof is extended to the U(Nc) gauge theory with Nf hypermultiplets in the fundamental representation, provided the moduli matrix of the domain wall solution is U(1)-factorizable. Thus the dimension of the moduli space of U(Nc) gauge theory is bounded from below by the dimension of the U(1)-factorizable part of the moduli space. We also obtain sharp estimates of the asymptotic exponential decay which depend on both the gauge coupling and the hypermultiplet mass differences. |
hep-th/0206056 | Stefano Ansoldi | Stefano Ansoldi, Eduardo I. Guendelman, Euro Spallucci | Real and Imaginary Mass Generation in the Presence of External Fields
and Axions | Extended content, some mistakes amended 21 pages, JHEP 3 class | JHEP 0309 (2003) 044 | 10.1088/1126-6708/2003/09/044 | null | hep-th | null | Small fluctuations around a constant electric or constant magnetic field F
are analyzed in a theory with pseudo scalar [phi] with a coupling g[phi]F~F. It
is found that a magnetic external field leads to mass generation for the small
perturbations, while an electric field suffers from a tachyonic mass generation
in the case in which the field strength is higher than a critical value
(related to the pseudo scalar mass). The vacuum energy can be exactly evaluated
and it is found that an imaginary part is present when the external electric
field exceeds its critical value.
| [
{
"created": "Fri, 7 Jun 2002 09:48:36 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2002 08:32:08 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Oct 2003 10:02:15 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Ansoldi",
"Stefano",
""
],
[
"Guendelman",
"Eduardo I.",
""
],
[
"Spallucci",
"Euro",
""
]
] | Small fluctuations around a constant electric or constant magnetic field F are analyzed in a theory with pseudo scalar [phi] with a coupling g[phi]F~F. It is found that a magnetic external field leads to mass generation for the small perturbations, while an electric field suffers from a tachyonic mass generation in the case in which the field strength is higher than a critical value (related to the pseudo scalar mass). The vacuum energy can be exactly evaluated and it is found that an imaginary part is present when the external electric field exceeds its critical value. |
0801.3955 | Eric R. Sharpe | Josh Guffin, Eric Sharpe | A-twisted heterotic Landau-Ginzburg models | 31 pages, LaTeX | J.Geom.Phys.59:1581-1596,2009 | 10.1016/j.geomphys.2009.07.013 | VPI-IPNAS-08-03, ILL-TH-08-2 | hep-th | null | In this paper, we apply the methods developed in recent work for constructing
A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In
particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial
spaces away from large-radius limits, where one expects to find correlation
function contributions akin to (2,2) curve corrections. Such heterotic theories
admit A- and B-model twists, and exhibit a duality that simultaneously
exchanges the twists and dualizes the gauge bundle. We explore how this duality
operates in heterotic Landau-Ginzburg models, as well as other properties of
these theories, using examples which RG flow to heterotic nonlinear sigma
models as checks on our methods.
| [
{
"created": "Fri, 25 Jan 2008 14:54:02 GMT",
"version": "v1"
}
] | 2009-11-05 | [
[
"Guffin",
"Josh",
""
],
[
"Sharpe",
"Eric",
""
]
] | In this paper, we apply the methods developed in recent work for constructing A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial spaces away from large-radius limits, where one expects to find correlation function contributions akin to (2,2) curve corrections. Such heterotic theories admit A- and B-model twists, and exhibit a duality that simultaneously exchanges the twists and dualizes the gauge bundle. We explore how this duality operates in heterotic Landau-Ginzburg models, as well as other properties of these theories, using examples which RG flow to heterotic nonlinear sigma models as checks on our methods. |
hep-th/0204261 | Miguel Sousa Costa | L. Cornalba (Amsterdam U.), M.S. Costa and C. Kounnas (ENS) | A Resolution of the Cosmological Singularity with Orientifolds | 1+20 pages, 3 figures; Analogy between orientifolds and de Sitter
space in Introduction corrected, refs added | Nucl.Phys. B637 (2002) 378-394 | 10.1016/S0550-3213(02)00446-7 | ITFA-2002-11, LPTENS-02-29 | hep-th | null | We propose a new cosmological scenario which resolves the conventional
initial singularity problem. The space-time geometry has an unconventional
time-like singularity on a lower dimensional hypersurface, with localized
energy density. The natural interpretation of this singularity in string theory
is that of negative tension branes, for example the orientifolds of type II
string theory. Space-time ends at the orientifolds, and it is divided in three
regions: a contracting region with a future cosmological horizon; an
intermediate region which ends at the orientifols; and an expanding region
separated from the intermediate region by a past cosmological horizon. We study
the geometry near the singularity of the proposed cosmological scenario in a
specific string model. Using D-brane probes we confirm the interpretation of
the brane singularity as an orientifold. The boundary conditions on the
orientifolds and the past/future transition amplitudes are well defined.
Assuming the trivial vacuum in the past, we derive a thermal spectrum in the
future.
| [
{
"created": "Tue, 30 Apr 2002 17:43:07 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2002 17:27:14 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cornalba",
"L.",
"",
"Amsterdam U."
],
[
"Costa",
"M. S.",
"",
"ENS"
],
[
"Kounnas",
"C.",
"",
"ENS"
]
] | We propose a new cosmological scenario which resolves the conventional initial singularity problem. The space-time geometry has an unconventional time-like singularity on a lower dimensional hypersurface, with localized energy density. The natural interpretation of this singularity in string theory is that of negative tension branes, for example the orientifolds of type II string theory. Space-time ends at the orientifolds, and it is divided in three regions: a contracting region with a future cosmological horizon; an intermediate region which ends at the orientifols; and an expanding region separated from the intermediate region by a past cosmological horizon. We study the geometry near the singularity of the proposed cosmological scenario in a specific string model. Using D-brane probes we confirm the interpretation of the brane singularity as an orientifold. The boundary conditions on the orientifolds and the past/future transition amplitudes are well defined. Assuming the trivial vacuum in the past, we derive a thermal spectrum in the future. |
1611.09409 | Chan Y. Park | Pietro Longhi, Chan Y. Park | ADE Spectral Networks and Decoupling Limits of Surface Defects | 50 pages with figures generated using
http://het-math2.physics.rutgers.edu/loom and
http://het-math2.physics.rutgers.edu/cproj ; v2: version published in JHEP | null | 10.1007/JHEP02(2017)011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study vacua and BPS spectra of canonical surface defects of class
$\mathcal{S}$ theories in different decoupling limits using ADE spectral
networks. In some regions of the IR moduli spaces of these 2d-4d systems, the
mixing between 2d and 4d BPS states is suppressed, and the spectrum of 2d-4d
BPS states becomes that of a 2d $\mathcal{N}=(2,2)$ theory. For some decoupling
limits, we identify the 2d theories describing the surface defects with
nonlinear sigma models and coset models that have been previously studied. We
also study certain cases where the decoupling limit of a surface defect
exhibits a set of vacua and a BPS spectrum that appear to be entirely new. A
detailed analysis of these spectra and their wall-crossing behavior is
performed.
| [
{
"created": "Mon, 28 Nov 2016 22:11:13 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2017 16:20:55 GMT",
"version": "v2"
}
] | 2017-02-15 | [
[
"Longhi",
"Pietro",
""
],
[
"Park",
"Chan Y.",
""
]
] | We study vacua and BPS spectra of canonical surface defects of class $\mathcal{S}$ theories in different decoupling limits using ADE spectral networks. In some regions of the IR moduli spaces of these 2d-4d systems, the mixing between 2d and 4d BPS states is suppressed, and the spectrum of 2d-4d BPS states becomes that of a 2d $\mathcal{N}=(2,2)$ theory. For some decoupling limits, we identify the 2d theories describing the surface defects with nonlinear sigma models and coset models that have been previously studied. We also study certain cases where the decoupling limit of a surface defect exhibits a set of vacua and a BPS spectrum that appear to be entirely new. A detailed analysis of these spectra and their wall-crossing behavior is performed. |
hep-th/0701040 | Mikhail Shifman | A. Gorsky, M. Shifman, A. Yung | Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian
Monopoles Emerge from Quark Condensation | 33 pages, 3 figures. V2 reference and a brief comment added; typos
corrected. V3 two comments added; final version accepted for publication to
PRD | Phys.Rev.D75:065032,2007 | 10.1103/PhysRevD.75.065032 | FTPI-MINN-06/39, UMN-TH-2530/06, ITEP-TH-72/06 | hep-th | null | We consider N =1 supersymmetric QCD with the gauge group U(N) and N_f=N quark
flavors. To get rid of flat directions we add a meson superfield. The theory
has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the
quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of
color charges (squarks) gives rise to confined monopoles. The very fact of
their existence in N =1 supersymmetric QCD without adjoint scalars was not
known previously. Our analysis is analytic and is based on the fact that the N
=1 theory under consideration can be obtained starting from N =2 SQCD in which
the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure
allowing us to track the status of these monopoles at various stages. Monopoles
are confined by BPS non-Abelian strings (flux tubes). Dynamics of string
orientational zero modes are described by supersymmetric CP(N-1) sigma model on
the string world sheet. If a dual of N =1 SQCD with the gauge group U(N) and
N_f=N quark flavors could be identified, in this dual theory our demonstration
would be equivalent to the proof of the non-Abelian dual Meissner effect.
| [
{
"created": "Fri, 5 Jan 2007 19:38:04 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2007 00:50:38 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Mar 2007 15:25:24 GMT",
"version": "v3"
}
] | 2010-05-27 | [
[
"Gorsky",
"A.",
""
],
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] | We consider N =1 supersymmetric QCD with the gauge group U(N) and N_f=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N =1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N =1 theory under consideration can be obtained starting from N =2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by BPS non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N =1 SQCD with the gauge group U(N) and N_f=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect. |
hep-th/9502144 | null | M. Cvetic, B. Ovrut and W. A. Sabra | Kahler Potentials For Orbifolds With Continuous Wilson Lines And The
Symmetries Of The String Action. | 12 pages, Tex-file | Phys.Lett.B351:173-178,1995 | 10.1016/0370-2693(95)00413-F | UPR-647-T. | hep-th | null | By employing the symmetries of the underlying conformal field theory, the
tree-level K\"ahler potentials for untwisted moduli of the heterotic string
compactifications on orbifolds with continuous Wilson lines are derived. These
symmetries act linearly on bosonic (toroidal and $E_8\times E_8$ gauge) string
coordinates as well as on the untwisted (toroidal and continuous Wilson lines)
moduli; they correspond to the scaling of toroidal moduli, the axionic shift of
toroidal moduli and the shift of the continuous Wilson line moduli. In turn
such symmetries provide sufficient constraints to determine the form of the
low-energy effective action associated with the untwisted moduli up to a
multiplicative factor.
| [
{
"created": "Fri, 24 Feb 1995 14:44:51 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Feb 1995 16:12:02 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Cvetic",
"M.",
""
],
[
"Ovrut",
"B.",
""
],
[
"Sabra",
"W. A.",
""
]
] | By employing the symmetries of the underlying conformal field theory, the tree-level K\"ahler potentials for untwisted moduli of the heterotic string compactifications on orbifolds with continuous Wilson lines are derived. These symmetries act linearly on bosonic (toroidal and $E_8\times E_8$ gauge) string coordinates as well as on the untwisted (toroidal and continuous Wilson lines) moduli; they correspond to the scaling of toroidal moduli, the axionic shift of toroidal moduli and the shift of the continuous Wilson line moduli. In turn such symmetries provide sufficient constraints to determine the form of the low-energy effective action associated with the untwisted moduli up to a multiplicative factor. |
hep-th/0210065 | Oscar J. C. Dias | Oscar J. C. Dias, Jose' P. S. Lemos | Pair of accelerated black holes in an anti-de Sitter background: the AdS
C-metric | 20 pages, 15 figures (RevTeX4). Published version: typo in fig. 5
corrected, references added | Phys.Rev. D67 (2003) 064001 | 10.1103/PhysRevD.67.064001 | null | hep-th gr-qc | null | The anti-de Sitter C-metric (AdS C-metric) is characterized by a quite
interesting new feature when compared with the C-metric in flat or de Sitter
backgrounds. Indeed, contrarily to what happens in these two last exact
solutions, the AdS C-metric only describes a pair of accelerated black holes if
the acceleration parameter satisfies A>1/L, where L is the cosmological length.
The two black holes cannot interact gravitationally and their acceleration is
totally provided by the pressure exerted by a strut that pushes the black holes
apart. Our analysis is based on the study of the causal structure, on the
description of the solution in the AdS 4-hyperboloid in a 5D Minkowski
embedding spacetime, and on the physics of the strut. We also analyze the cases
A=1/L and A<1/L that represent a single accelerated black hole in the AdS
background.
| [
{
"created": "Mon, 7 Oct 2002 18:53:49 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2002 19:04:52 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Mar 2003 14:11:01 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | The anti-de Sitter C-metric (AdS C-metric) is characterized by a quite interesting new feature when compared with the C-metric in flat or de Sitter backgrounds. Indeed, contrarily to what happens in these two last exact solutions, the AdS C-metric only describes a pair of accelerated black holes if the acceleration parameter satisfies A>1/L, where L is the cosmological length. The two black holes cannot interact gravitationally and their acceleration is totally provided by the pressure exerted by a strut that pushes the black holes apart. Our analysis is based on the study of the causal structure, on the description of the solution in the AdS 4-hyperboloid in a 5D Minkowski embedding spacetime, and on the physics of the strut. We also analyze the cases A=1/L and A<1/L that represent a single accelerated black hole in the AdS background. |
hep-th/9609092 | Conformal Field Theory Conference | Dimitri Polyakov | Kappa-Symmetry and Bogomol'ny Bound | 20 pages, TeX type | Nucl.Phys. B485 (1997) 128-144 | 10.1016/S0550-3213(96)00634-7 | LANDAU-96-TMP-4 | hep-th | null | The paper analyzes the problem fixing the local fermionic gauge symmetry in
the Green-Schwarz superstring theory,related to the covariant quantization of
this theory.The gauge-fixing procedure reveals the connection between GS and
NSR formalisms, conjectured earlier. The analysis relates the kappa-invariance
to the Bogomol'ny-type condition,well-known in connection with D-brane
theories. The BPS saturation condition appears to be a target space
superpartner of the kappa-invariance condition. Relation to RR charges of
p-brane solutions of the ten-dimensional supergravity is discussed.
| [
{
"created": "Wed, 11 Sep 1996 11:17:02 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Polyakov",
"Dimitri",
""
]
] | The paper analyzes the problem fixing the local fermionic gauge symmetry in the Green-Schwarz superstring theory,related to the covariant quantization of this theory.The gauge-fixing procedure reveals the connection between GS and NSR formalisms, conjectured earlier. The analysis relates the kappa-invariance to the Bogomol'ny-type condition,well-known in connection with D-brane theories. The BPS saturation condition appears to be a target space superpartner of the kappa-invariance condition. Relation to RR charges of p-brane solutions of the ten-dimensional supergravity is discussed. |
0804.3121 | Allen Stern | A. Stern | Particle-like solutions to classical noncommutative gauge theory | 21 pages | Phys.Rev.D78:065006,2008 | 10.1103/PhysRevD.78.065006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct perturbative static solutions to the classical field equations
of noncommutative U(1) gauge theory for the three cases: a) space-time
noncommutativity, b) space-space noncommutativity and c) both a) and b). The
solutions tend to the Coulumb solution at spatial infinity and are valid for
intermediate values of the radial coordinate $r$. They yield a self-charge in a
sphere of radius $r$ centered about the origin which increases with decreasing
$r$ for case a), and decreases with decreasing $r$ for case b). For case a)
this may mean that the exact solution screens an infinite charge at the origin,
while for case b) it is plausible that the charge density is well behaved at
the origin, as happens in Born-Infeld electrodynamics. For both cases a) and b)
the self-energy in the intermediate region grows faster as $r$ tends to the
origin than that of the Coulumb solution. It then appears that the divergence
of the classical self-energy is more severe in the noncommutative theory than
it is in the corresponding commutative theory. We compute the lowest order
effects of these solutions on the hydrogen atom spectrum and use them to put
experimental bounds on the space-time and space-space noncommutative scales. We
find that cases a) and b) have different experimental signatures.
| [
{
"created": "Sat, 19 Apr 2008 03:52:58 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Apr 2008 16:36:01 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Aug 2008 21:08:01 GMT",
"version": "v3"
}
] | 2009-02-20 | [
[
"Stern",
"A.",
""
]
] | We construct perturbative static solutions to the classical field equations of noncommutative U(1) gauge theory for the three cases: a) space-time noncommutativity, b) space-space noncommutativity and c) both a) and b). The solutions tend to the Coulumb solution at spatial infinity and are valid for intermediate values of the radial coordinate $r$. They yield a self-charge in a sphere of radius $r$ centered about the origin which increases with decreasing $r$ for case a), and decreases with decreasing $r$ for case b). For case a) this may mean that the exact solution screens an infinite charge at the origin, while for case b) it is plausible that the charge density is well behaved at the origin, as happens in Born-Infeld electrodynamics. For both cases a) and b) the self-energy in the intermediate region grows faster as $r$ tends to the origin than that of the Coulumb solution. It then appears that the divergence of the classical self-energy is more severe in the noncommutative theory than it is in the corresponding commutative theory. We compute the lowest order effects of these solutions on the hydrogen atom spectrum and use them to put experimental bounds on the space-time and space-space noncommutative scales. We find that cases a) and b) have different experimental signatures. |
hep-th/9209046 | David Lowe | A. Polyakov | Conformal Turbulence | PUPT-1341, phyzzx, 12 pages | null | null | null | hep-th | null | We describe conformal field theories, correlation functions of which satisfy
equations of the two-dimensional fluid mechanics. Prediction for the energy
spectrum is given, $E(k) \sim k^{-25/7}$.
| [
{
"created": "Mon, 14 Sep 1992 16:36:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Polyakov",
"A.",
""
]
] | We describe conformal field theories, correlation functions of which satisfy equations of the two-dimensional fluid mechanics. Prediction for the energy spectrum is given, $E(k) \sim k^{-25/7}$. |
hep-th/0307052 | Christopher Pope | G.W. Gibbons and C.N. Pope | Consistent S^2 Pauli Reduction of Six-dimensional Chiral Gauged
Einstein-Maxwell Supergravity | 20 pages, Latex. Discussion of compactification scale modified,
references added | Nucl.Phys.B697:225-242,2004 | 10.1016/j.nuclphysb.2004.07.016 | DAMTP-2003-62, MIFP-03-14 | hep-th | null | Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to
admit a (Minkowski)_4\times S^2 vacuum solution with four-dimensional N=1
supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2)
Yang-Mills vector multiplet, and a scalar multiplet. In this paper it is shown
that, remarkably, the six-dimensional theory admits a fully consistent
dimensional reduction on the 2-sphere, implying that all solutions of the
four-dimensional N=1 supergravity can be lifted back to solutions in six
dimensions. This provides a striking realisation of the idea, first proposed by
Pauli, of obtaining a theory that includes Yang-Mills fields by dimensional
reduction on a coset space. We address the cosmological constant problem within
this model, and find that if the Kaluza-Klein mass scale is taken to be 10^{-3}
eV (as has recently been suggested) then four-dimensional gauge-coupling
constants for bulk fields must be of the order of 10^{-31}. We also suggest a
link between a modification of the model with 3-branes, and a five-dimensional
model based on an S^1/Z_2 orbifold.
| [
{
"created": "Fri, 4 Jul 2003 13:19:40 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jul 2003 07:08:03 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Apr 2004 12:12:51 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Gibbons",
"G. W.",
""
],
[
"Pope",
"C. N.",
""
]
] | Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to admit a (Minkowski)_4\times S^2 vacuum solution with four-dimensional N=1 supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2) Yang-Mills vector multiplet, and a scalar multiplet. In this paper it is shown that, remarkably, the six-dimensional theory admits a fully consistent dimensional reduction on the 2-sphere, implying that all solutions of the four-dimensional N=1 supergravity can be lifted back to solutions in six dimensions. This provides a striking realisation of the idea, first proposed by Pauli, of obtaining a theory that includes Yang-Mills fields by dimensional reduction on a coset space. We address the cosmological constant problem within this model, and find that if the Kaluza-Klein mass scale is taken to be 10^{-3} eV (as has recently been suggested) then four-dimensional gauge-coupling constants for bulk fields must be of the order of 10^{-31}. We also suggest a link between a modification of the model with 3-branes, and a five-dimensional model based on an S^1/Z_2 orbifold. |
2004.05950 | Laurent Baulieu | Laurent Baulieu | Unimodular Gauge in Perturbative Gravity and Supergravity | A section has been added that computes the the spin connection in the
unimodular gauge for a better understanding of gravitational couplings of
spinors in this gauge | null | 10.1016/j.physletb.2020.135591 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper explains the Unimodular gauge fixing of gravity and supergravity
in the framework of a perturbative BRST construction. The unphysical sector
contains additional BRST-exact quartets to suppress possible ambiguities and
impose both the Unimodular gauge fixing condition on the metric and a gauge
condition for the reparametrization symmetry of the unimodular part of the
metric. The Unimodular gauge choice of the metric must be completed by a
$\gamma$-Traceless gauge condition for the Rarita--Schwinger field in the case
of supergravity. This gives an interesting new class of gauges for gravity and
supergravity.
| [
{
"created": "Mon, 13 Apr 2020 14:05:49 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Apr 2020 09:42:51 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jun 2020 14:14:28 GMT",
"version": "v3"
}
] | 2020-07-08 | [
[
"Baulieu",
"Laurent",
""
]
] | This paper explains the Unimodular gauge fixing of gravity and supergravity in the framework of a perturbative BRST construction. The unphysical sector contains additional BRST-exact quartets to suppress possible ambiguities and impose both the Unimodular gauge fixing condition on the metric and a gauge condition for the reparametrization symmetry of the unimodular part of the metric. The Unimodular gauge choice of the metric must be completed by a $\gamma$-Traceless gauge condition for the Rarita--Schwinger field in the case of supergravity. This gives an interesting new class of gauges for gravity and supergravity. |
hep-th/0311054 | Juan Crisostomo | Juan Crisostomo and Rodrigo Olea | Hamiltonian Treatment of the Gravitational Collapse of Thin Shells | 20 pages,1 figure, CECS style. Accepted for publication in Physical
Review D | Phys.Rev. D69 (2004) 104023 | 10.1103/PhysRevD.69.104023 | GACG-PHY-12/03, CECS-PHY-03/12 | hep-th | null | A Hamiltonian treatment of the gravitational collapse of thin shells is
presented. The direct integration of the canonical constraints reproduces the
standard shell dynamics for a number of known cases. The formalism is applied
in detail to three dimensional spacetime and the properties of the
(2+1)-dimensional charged black hole collapse are further elucidated. The
procedure is also extended to deal with rotating solutions in three dimensions.
The general form of the equations providing the shell dynamics implies the
stability of black holes, as they cannot be converted into naked singularities
by any shell collapse process.
| [
{
"created": "Thu, 6 Nov 2003 23:26:01 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Mar 2004 01:28:43 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Crisostomo",
"Juan",
""
],
[
"Olea",
"Rodrigo",
""
]
] | A Hamiltonian treatment of the gravitational collapse of thin shells is presented. The direct integration of the canonical constraints reproduces the standard shell dynamics for a number of known cases. The formalism is applied in detail to three dimensional spacetime and the properties of the (2+1)-dimensional charged black hole collapse are further elucidated. The procedure is also extended to deal with rotating solutions in three dimensions. The general form of the equations providing the shell dynamics implies the stability of black holes, as they cannot be converted into naked singularities by any shell collapse process. |
2405.19165 | Minsung Kho | Minsung Kho, Rak-Kyeong Seong | Hilbert Series of Bipartite Field Theories | 77 pages, 24 figures, 23 tables; v2: minor corrections | null | null | UNIST-MTH-24-RS-03 | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the algebraic structure of the mesonic moduli spaces of bipartite
field theories by computing the Hilbert series. Bipartite field theories form a
large family of 4d N=1 supersymmetric gauge theories that are defined by
bipartite graphs on Riemann surfaces with boundaries. By calculating the
Hilbert series, we are able to identify the generators and defining generator
relations of the mesonic moduli spaces of these theories. Moreover, we show
that certain bipartite field theories exhibit enhanced global symmetries which
can be identified through the computation of the corresponding refined Hilbert
series. As part of our study, we introduce two one-parameter families of
bipartite field theories defined on cylinders whose mesonic moduli spaces are
all complete intersection toric Calabi-Yau 3-folds.
| [
{
"created": "Wed, 29 May 2024 15:09:34 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Jun 2024 12:49:37 GMT",
"version": "v2"
}
] | 2024-06-11 | [
[
"Kho",
"Minsung",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | We study the algebraic structure of the mesonic moduli spaces of bipartite field theories by computing the Hilbert series. Bipartite field theories form a large family of 4d N=1 supersymmetric gauge theories that are defined by bipartite graphs on Riemann surfaces with boundaries. By calculating the Hilbert series, we are able to identify the generators and defining generator relations of the mesonic moduli spaces of these theories. Moreover, we show that certain bipartite field theories exhibit enhanced global symmetries which can be identified through the computation of the corresponding refined Hilbert series. As part of our study, we introduce two one-parameter families of bipartite field theories defined on cylinders whose mesonic moduli spaces are all complete intersection toric Calabi-Yau 3-folds. |
2008.07946 | Simon F. Ross | Seamus Fallows and Simon F. Ross | Making near-extremal wormholes traversable | 18 pages. V2: minor changes; v3, v4: minor edits in response to
referee comments | null | 10.1007/JHEP12(2020)044 | DCPT-20/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a traversable wormhole from a charged AdS black hole by adding a
coupling between the two boundary theories. We investigate how the effect of
this deformation behaves in the extremal limit of the black hole. The black
holes have finite entropy but an infinitely long throat in the extremal limit.
We argue that it is still possible to make the throat traversable even in the
extremal limit, but this requires either tuning the field for which we add a
boundary coupling close to an instability threshold or scaling the strength of
the coupling inversely with the temperature. In the latter case we show that
the amount of information that can be sent through the wormhole scales with the
entropy.
| [
{
"created": "Tue, 18 Aug 2020 14:22:19 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2020 15:02:18 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Oct 2020 12:43:29 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Oct 2020 09:31:58 GMT",
"version": "v4"
}
] | 2020-12-30 | [
[
"Fallows",
"Seamus",
""
],
[
"Ross",
"Simon F.",
""
]
] | We construct a traversable wormhole from a charged AdS black hole by adding a coupling between the two boundary theories. We investigate how the effect of this deformation behaves in the extremal limit of the black hole. The black holes have finite entropy but an infinitely long throat in the extremal limit. We argue that it is still possible to make the throat traversable even in the extremal limit, but this requires either tuning the field for which we add a boundary coupling close to an instability threshold or scaling the strength of the coupling inversely with the temperature. In the latter case we show that the amount of information that can be sent through the wormhole scales with the entropy. |
1605.03314 | Sunil Mukhi | Harsha R. Hampapura and Sunil Mukhi | Two-dimensional RCFT's without Kac-Moody symmetry | 18 pages | null | 10.1007/JHEP07(2016)138 | YITP-16-61 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the method of modular-invariant differential equations, we classify a
family of Rational Conformal Field Theories with two and three characters
having no Kac-Moody algebra. In addition to unitary and non-unitary minimal
models, we find "dual" theories whose characters obey bilinear relations with
those of the minimal models to give the Moonshine Module. In some ways this
relation is analogous to cosets of meromorphic CFT's. The theory dual in this
sense to the Ising model has central charge 47/2 and is related to the Baby
Monster Module.
| [
{
"created": "Wed, 11 May 2016 07:53:47 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Hampapura",
"Harsha R.",
""
],
[
"Mukhi",
"Sunil",
""
]
] | Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find "dual" theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT's. The theory dual in this sense to the Ising model has central charge 47/2 and is related to the Baby Monster Module. |
hep-th/0208231 | Radu Roiban | David J. Gross, Andrei Mikhailov, Radu Roiban | A Calculation of the plane wave string Hamiltonian from N=4
super-Yang-Mills theory | 38 pages, Latex; v2: Comparison with string theory changed in light
of corrections to string theory results in hep-th/0206073 v3; state-operator
map modified; Physical interpretation and conclusions unchanged | JHEP 0305 (2003) 025 | 10.1088/1126-6708/2003/05/025 | null | hep-th | null | Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong
form of the AdS/CFT correspondence, that string theory in a particular plane
wave background is dual to a certain subset of operators in the N=4
super-Yang-Mills theory. Even though this is a priori a strong/weak coupling
duality, the matrix elements of the string theory Hamiltonian, when expressed
in gauge theory variables, are analytic in the 't Hooft coupling constant. This
allows one to conjecture that, like the masses of excited string states, these
can be recovered using perturbation theory in Yang-Mills theory.
In this paper we identify the difference between the generator of scale
transformations and a particular U(1) R-symmetry generator as the operator dual
to the string theory Hamiltonian for nonvanishing string coupling. We compute
its matrix elements and find that they agree with the string theory prediction
provided that the state-operator map is modified for nonvanishing string
coupling. We construct this map explicitly and calculate the anomalous
dimensions of the new operators. We identify the component arising from the
modification of the state-operator map with the contribution of the string
theory contact terms to the masses of string states.
| [
{
"created": "Fri, 30 Aug 2002 18:13:46 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2002 02:20:11 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gross",
"David J.",
""
],
[
"Mikhailov",
"Andrei",
""
],
[
"Roiban",
"Radu",
""
]
] | Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong form of the AdS/CFT correspondence, that string theory in a particular plane wave background is dual to a certain subset of operators in the N=4 super-Yang-Mills theory. Even though this is a priori a strong/weak coupling duality, the matrix elements of the string theory Hamiltonian, when expressed in gauge theory variables, are analytic in the 't Hooft coupling constant. This allows one to conjecture that, like the masses of excited string states, these can be recovered using perturbation theory in Yang-Mills theory. In this paper we identify the difference between the generator of scale transformations and a particular U(1) R-symmetry generator as the operator dual to the string theory Hamiltonian for nonvanishing string coupling. We compute its matrix elements and find that they agree with the string theory prediction provided that the state-operator map is modified for nonvanishing string coupling. We construct this map explicitly and calculate the anomalous dimensions of the new operators. We identify the component arising from the modification of the state-operator map with the contribution of the string theory contact terms to the masses of string states. |
hep-th/0001125 | Vassilevich | W. Kummer, D.V. Vassilevich | Open strings, Born--Infeld action and the heat kernel | 9 pages, an important note is added at the end of the paper | null | null | TUW-00-04 | hep-th | null | In the derivation of the Born-Infeld action for the case with a nontrivial
boundary of the string world sheet the appearance of a new term changes the
conformal anomaly. This may have many consequences, especially also in the
study of generalized interacting brane systems.
| [
{
"created": "Thu, 20 Jan 2000 11:55:09 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jan 2000 12:12:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kummer",
"W.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | In the derivation of the Born-Infeld action for the case with a nontrivial boundary of the string world sheet the appearance of a new term changes the conformal anomaly. This may have many consequences, especially also in the study of generalized interacting brane systems. |
hep-th/9906144 | Klaus Kirsten | T.P. Branson, P.B. Gilkey, K. Kirsten and D.V. Vassilevich | Heat kernel asymptotics with mixed boundary conditions | 26 pages, LaTeX | Nucl.Phys. B563 (1999) 603-626 | 10.1016/S0550-3213(99)00590-8 | null | hep-th | null | We calculate the coefficient $a_5$ of the heat kernel asymptotics for an
operator of Laplace type with mixed boundary conditions on a general compact
manifold.
| [
{
"created": "Fri, 18 Jun 1999 13:48:45 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Branson",
"T. P.",
""
],
[
"Gilkey",
"P. B.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | We calculate the coefficient $a_5$ of the heat kernel asymptotics for an operator of Laplace type with mixed boundary conditions on a general compact manifold. |
2211.13262 | Juan Pedraza | Jan de Boer, Viktor Jahnke, Keun-Young Kim and Juan F. Pedraza | Worldsheet traversable wormholes | 34 pages, multiple figures. v2: minor additions and references
updated. Matches JHEP version | null | 10.1007/JHEP05(2023)141 | IFT-UAM/CSIC-22-138 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct worldsheet traversable wormholes by considering the effects of a
double-trace deformation, $\delta\mathcal{L}\sim
h\partial\phi_L\partial\phi_R$, coupling the endpoints of an open string in AdS
space. The operator deforming the theory is irrelevant and makes the boundaries
bend inward toward the IR. This effect, reminiscent of two-dimensional dilaton
gravities, renders the teleportation protocol more efficient and facilitates
the transfer of information between the members of the dual Bell pair. We
compare our results with those obtained with the standard double-trace
deformation, $\delta\mathcal{L}\sim h\phi_L\phi_R$, introduced by Gao, Jafferis
and Wall.
| [
{
"created": "Wed, 23 Nov 2022 19:18:38 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2023 16:29:14 GMT",
"version": "v2"
}
] | 2023-05-19 | [
[
"de Boer",
"Jan",
""
],
[
"Jahnke",
"Viktor",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | We construct worldsheet traversable wormholes by considering the effects of a double-trace deformation, $\delta\mathcal{L}\sim h\partial\phi_L\partial\phi_R$, coupling the endpoints of an open string in AdS space. The operator deforming the theory is irrelevant and makes the boundaries bend inward toward the IR. This effect, reminiscent of two-dimensional dilaton gravities, renders the teleportation protocol more efficient and facilitates the transfer of information between the members of the dual Bell pair. We compare our results with those obtained with the standard double-trace deformation, $\delta\mathcal{L}\sim h\phi_L\phi_R$, introduced by Gao, Jafferis and Wall. |
2406.16686 | Alexandra Anokhina | A.Anokhina, M.Satleikin, A.Sedova, and A.Shukakidze | Quantum and classical symmetries | null | null | null | ITEP-TH-17/24, IITP-TH-14/24 | hep-th physics.ed-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a somewhat non-standard view on a set of curious, paradoxical from
the standpoint of simple classical physics and everyday experience phenomena.
There are the quantisation (discrete set of values) of the observables (e.g.,
energy, momentum, angular momentum); forbidden simultaneous measurements of the
observables in the most cases (e.g., of a coordinate and momentum, of angular
momentum projections on difference axis); counter-intuitive relations on the
simultaneously measurable quantities (e.g., the famous expression for the
square momentum $l(l+1)$ with the maximal projection $l$). These and other
paradoxes are traditionally related to "purely quantum" phenomenon, i.e.,
having no analogue in the "classical world" ones. However, there are deep
analogies between classical and "quantum" worlds, as soon as the quantum
technique is applied to the classical phenomenon. We follow these analogies
with the examples of relatively simple and well known models of classical
physics, such as a simplified model of light transition through the media, a
system of electric charges close to each other and far from the observer; the
specific of motion in the Coulomb/Newtonian field. This text can be considered
as a mini-course addressed to higher school and undergraduate students who are
interested in basics of quantum mechanics, but are not yet ready for systematic
study of standard courses. The text may be also useful to those who supervise
such students.
| [
{
"created": "Mon, 24 Jun 2024 14:45:42 GMT",
"version": "v1"
}
] | 2024-06-25 | [
[
"Anokhina",
"A.",
""
],
[
"Satleikin",
"M.",
""
],
[
"Sedova",
"A.",
""
],
[
"Shukakidze",
"A.",
""
]
] | We suggest a somewhat non-standard view on a set of curious, paradoxical from the standpoint of simple classical physics and everyday experience phenomena. There are the quantisation (discrete set of values) of the observables (e.g., energy, momentum, angular momentum); forbidden simultaneous measurements of the observables in the most cases (e.g., of a coordinate and momentum, of angular momentum projections on difference axis); counter-intuitive relations on the simultaneously measurable quantities (e.g., the famous expression for the square momentum $l(l+1)$ with the maximal projection $l$). These and other paradoxes are traditionally related to "purely quantum" phenomenon, i.e., having no analogue in the "classical world" ones. However, there are deep analogies between classical and "quantum" worlds, as soon as the quantum technique is applied to the classical phenomenon. We follow these analogies with the examples of relatively simple and well known models of classical physics, such as a simplified model of light transition through the media, a system of electric charges close to each other and far from the observer; the specific of motion in the Coulomb/Newtonian field. This text can be considered as a mini-course addressed to higher school and undergraduate students who are interested in basics of quantum mechanics, but are not yet ready for systematic study of standard courses. The text may be also useful to those who supervise such students. |
1707.00465 | Seyed Kamran Moayedi | Seyed Kamran Moayedi, Mansoureh Shafabakhsh, and Farkhondeh Fathi | Analytical Calculation of Stored Electrostatic Energy per Unit Length
for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework
of Born-Infeld Electrostatics | 14 pages, 2 figures | Advances in High Energy Physics Volume 2015, Article ID 180185, 7
pages | 10.1155/2015/180185 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | More than 80 years ago, Born-Infeld electrodynamics was proposed in order to
remove the point charge singularity in Maxwell electrodynamics. In this work,
after a brief introduction to Lagrangian formulation of Abelian Born-Infeld
model in the presence of an external source, we obtain the explicit forms of
Gauss's law and the energy density of an electrostatic field for Born-Infeld
electrostatics. The electric field and the stored electrostatic energy per unit
length for an infinite charged line and an infinitely long cylinder in
Born-Infeld electrostatics are calculated. Numerical estimations in this paper
show that the nonlinear corrections to Maxwell electrodynamics are considerable
only for strong electric fields. We present an action functional for Abelian
Born-Infeld model with an auxiliary scalar field in the presence of an external
source. This action functional is a generalization of the action functional
which was presented by Tseytlin in his studies on low energy dynamics of
$D$-branes (Nucl. Phys. \textbf{B469}, 51 (1996); Int. J. Mod. Phys. A
\textbf{19}, 3427 (2004)). Finally, we derive the symmetric energy-momentum
tensor for Abelian Born-Infeld model with an auxiliary scalar field.
| [
{
"created": "Mon, 3 Jul 2017 09:53:53 GMT",
"version": "v1"
}
] | 2017-07-04 | [
[
"Moayedi",
"Seyed Kamran",
""
],
[
"Shafabakhsh",
"Mansoureh",
""
],
[
"Fathi",
"Farkhondeh",
""
]
] | More than 80 years ago, Born-Infeld electrodynamics was proposed in order to remove the point charge singularity in Maxwell electrodynamics. In this work, after a brief introduction to Lagrangian formulation of Abelian Born-Infeld model in the presence of an external source, we obtain the explicit forms of Gauss's law and the energy density of an electrostatic field for Born-Infeld electrostatics. The electric field and the stored electrostatic energy per unit length for an infinite charged line and an infinitely long cylinder in Born-Infeld electrostatics are calculated. Numerical estimations in this paper show that the nonlinear corrections to Maxwell electrodynamics are considerable only for strong electric fields. We present an action functional for Abelian Born-Infeld model with an auxiliary scalar field in the presence of an external source. This action functional is a generalization of the action functional which was presented by Tseytlin in his studies on low energy dynamics of $D$-branes (Nucl. Phys. \textbf{B469}, 51 (1996); Int. J. Mod. Phys. A \textbf{19}, 3427 (2004)). Finally, we derive the symmetric energy-momentum tensor for Abelian Born-Infeld model with an auxiliary scalar field. |
hep-th/0305258 | Yong-Shi Wu | Yong-Shi Wu | Quantum Field Theories on a Noncommutative Euclidean Space: Overview of
New Physics | Format:LaTex2e. 10 pages, 1 figure. Invited talk at the International
Conference on Theoretical Physics, Paris, UNESCO; July 2002. To appear in the
Proceedings. v2. Typos corrected | null | null | null | hep-th | null | In this talk I briefly review recent developments in quantum field theories
on a noncommutative Euclidean space, with Heisenberg-like commutation relations
between coordinates. I will be concentrated on new physics learned from this
simplest class of non-local field theories, which has applications to both
string theory and condensed matter systems, and possibly to particle
phenomenology.
| [
{
"created": "Thu, 29 May 2003 23:03:33 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jun 2003 05:11:11 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jun 2003 20:56:33 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Wu",
"Yong-Shi",
""
]
] | In this talk I briefly review recent developments in quantum field theories on a noncommutative Euclidean space, with Heisenberg-like commutation relations between coordinates. I will be concentrated on new physics learned from this simplest class of non-local field theories, which has applications to both string theory and condensed matter systems, and possibly to particle phenomenology. |
2003.07501 | Jie Jiang | Jie Jiang and Yunjiao Gao | Investigating the gedanken experiment to destroy the event horizon of a
regular black hole | 6 pages, 3 figures. This paper has been accepted by PRD | Phys. Rev. D 101, 084005 (2020) | 10.1103/PhysRevD.101.084005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Li and Bambi proposed a hypothesis that the event horizon of a
regular black hole can be destroyed because these objects have no gravitational
singularity and therefore they are not protected by the weak cosmic censorship
conjecture (WCCC). In this paper, to test their hypothesis, we perform the new
version of the gedanken experiments proposed by Sorce and Wald to overcharge a
near extremal static electrically regular black hole. After introducing the
stability condition of the spacetime and the null energy condition of matter
fields, we derive the first-order and second-order perturbation inequalities of
the perturbation matter fields based on the Iyer-Wald formalism. As a result,
we find that these regular black holes cannot be destroyed under the
second-order approximation after these two perturbation inequalities are taken
into account, even though they are not protected by the WCCC. Our results
indicate that there might be some deeper mechanisms to protect the event
horizon of the black holes.
| [
{
"created": "Tue, 17 Mar 2020 02:37:53 GMT",
"version": "v1"
}
] | 2020-04-07 | [
[
"Jiang",
"Jie",
""
],
[
"Gao",
"Yunjiao",
""
]
] | Recently, Li and Bambi proposed a hypothesis that the event horizon of a regular black hole can be destroyed because these objects have no gravitational singularity and therefore they are not protected by the weak cosmic censorship conjecture (WCCC). In this paper, to test their hypothesis, we perform the new version of the gedanken experiments proposed by Sorce and Wald to overcharge a near extremal static electrically regular black hole. After introducing the stability condition of the spacetime and the null energy condition of matter fields, we derive the first-order and second-order perturbation inequalities of the perturbation matter fields based on the Iyer-Wald formalism. As a result, we find that these regular black holes cannot be destroyed under the second-order approximation after these two perturbation inequalities are taken into account, even though they are not protected by the WCCC. Our results indicate that there might be some deeper mechanisms to protect the event horizon of the black holes. |
1203.2642 | Juan Manuel Romero | Juan M. Romero, Eric Escobar, Etelberto Vazquez | Very special relativity as particle in a gauge field and two-time
physics | 12 pages; non figures; new material; references added; accepted for
publication in Modern Physics Letters A | Modern Physics Letters A Vol. 28, No. 5 (2013) 1350004 | 10.1142/S0217732313500041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The action for a $(3+1)$-dimensional particle in very special relativity is
studied. It is proved that massless particles only travel in effective
$(2+1)$-dimensional space-time. It is remarkable that this action can be
written as an action for a relativistic particle in a background gauge field
and it is shown that this field causes the dimensional reduction. A new
symmetry for this system is found. Furthermore, a general action with restored
Lorentz symmetry is proposed for this system. It is shown that this new action
contains very special relativity and two-time physics.
| [
{
"created": "Mon, 12 Mar 2012 20:41:57 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2012 23:02:53 GMT",
"version": "v2"
}
] | 2013-01-25 | [
[
"Romero",
"Juan M.",
""
],
[
"Escobar",
"Eric",
""
],
[
"Vazquez",
"Etelberto",
""
]
] | The action for a $(3+1)$-dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective $(2+1)$-dimensional space-time. It is remarkable that this action can be written as an action for a relativistic particle in a background gauge field and it is shown that this field causes the dimensional reduction. A new symmetry for this system is found. Furthermore, a general action with restored Lorentz symmetry is proposed for this system. It is shown that this new action contains very special relativity and two-time physics. |
hep-th/9905071 | Shibusa Yuuichirou | Yuuichirou Shibusa | 11-dimensional curved backgrounds for supermembrane in superspace | 15 pages | null | null | null | hep-th | null | We compute part of the superfield in terms of the component fields of
11-dimensional on-shell supergravity by using `Gauge completion' in 2nd-order
formalism. The result is the same as was derived recently in 1.5-order
formalism by B. de Wit, K. Peeters and J. Plefka. We use 2nd-order formalism
because in order to hold $\kappa $-invariance generally 2nd-order formalism is
more hopeful and simpler than 1.5-order formalism.
| [
{
"created": "Tue, 11 May 1999 13:24:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shibusa",
"Yuuichirou",
""
]
] | We compute part of the superfield in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion' in 2nd-order formalism. The result is the same as was derived recently in 1.5-order formalism by B. de Wit, K. Peeters and J. Plefka. We use 2nd-order formalism because in order to hold $\kappa $-invariance generally 2nd-order formalism is more hopeful and simpler than 1.5-order formalism. |
1103.6145 | Dimo Arnaudov | D. Arnaudov, R.C. Rashkov and T. Vetsov | Three- and four-point correlators of operators dual to folded string
solutions in AdS_5 x S^5 | 19 pages, no figures, minor changes | Int.J.Mod.Phys.A26:3403-3420,2011 | 10.1142/S0217751X11053869 | TUW-11-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently there has been progress on the calculation of n-point correlation
functions with two "heavy" (with large quantum numbers) states at strong
coupling. We extend these findings by computing three-point functions
corresponding to a folded three-spin semiclassical string with one angular
momentum in AdS and two equal spins in the sphere. We recover previous results
as limiting cases. Also, following a recent paper by Buchbinder and Tseytlin,
we provide relevant four-point functions and consider some of their limits.
| [
{
"created": "Thu, 31 Mar 2011 11:29:04 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2011 20:44:47 GMT",
"version": "v2"
}
] | 2011-08-11 | [
[
"Arnaudov",
"D.",
""
],
[
"Rashkov",
"R. C.",
""
],
[
"Vetsov",
"T.",
""
]
] | Recently there has been progress on the calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling. We extend these findings by computing three-point functions corresponding to a folded three-spin semiclassical string with one angular momentum in AdS and two equal spins in the sphere. We recover previous results as limiting cases. Also, following a recent paper by Buchbinder and Tseytlin, we provide relevant four-point functions and consider some of their limits. |
2108.08308 | Kotaro Tamaoka | Kanato Goto, Yuya Kusuki, Kotaro Tamaoka, and Tomonori Ugajin | Product of Random States and Spatial (Half-)Wormholes | 32 pages, 3 figures | null | 10.1007/JHEP10(2021)205 | RIKEN-iTHEMS-Report-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how coarse-graining procedure of an underlying UV-complete quantum
gravity gives rise to a connected geometry. It has been shown, quantum
entanglement plays a key role in the emergence of such a geometric structure,
namely a smooth Einstein-Rosen bridge. In this paper, we explore the
possibility of the emergence of similar geometric structure from classical
correlation, in the AdS/CFT setup. To this end, we consider a setup where we
have two decoupled CFT Hilbert spaces, then choose a random typical state in
one of the Hilbert spaces and the same state in the other. The total state in
the fine-grained picture is of course a tensor product state, but averaging
over the states sharing the same random coefficients creates a geometric
connection for simple probes. Then, the apparent spatial wormhole causes a
factorization puzzle. We argue that there is a spatial analog of
half-wormholes, which resolves the puzzle in the similar way as the spacetime
half-wormholes.
| [
{
"created": "Wed, 18 Aug 2021 18:00:00 GMT",
"version": "v1"
}
] | 2021-11-10 | [
[
"Goto",
"Kanato",
""
],
[
"Kusuki",
"Yuya",
""
],
[
"Tamaoka",
"Kotaro",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total state in the fine-grained picture is of course a tensor product state, but averaging over the states sharing the same random coefficients creates a geometric connection for simple probes. Then, the apparent spatial wormhole causes a factorization puzzle. We argue that there is a spatial analog of half-wormholes, which resolves the puzzle in the similar way as the spacetime half-wormholes. |
hep-th/9603041 | Juan P. Garrahan | Juan P. Garrahan, Martin Kruczenski, and Daniel R. Bes | Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates | LaTeX file, 26 pages, PostScript figures at end of file | Phys.Rev. D53 (1996) 7176-7186 | 10.1103/PhysRevD.53.7176 | Tandar preprint TAN-FNT-95/013 | hep-th | null | The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of
collective coordinates is considered in the Lagrangian formalism. The motion of
a particle in a Riemannian manifold is studied in the case when the classical
solutions break a non-abelian global invariance of the action. Collective
coordinates are introduced, and the resulting gauge theory is quantized in the
BRST antifield formalism. The partition function is computed perturbatively to
two-loops, and it is shown that the results are independent of gauge-fixing
parameters.
| [
{
"created": "Thu, 7 Mar 1996 17:48:29 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Garrahan",
"Juan P.",
""
],
[
"Kruczenski",
"Martin",
""
],
[
"Bes",
"Daniel R.",
""
]
] | The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of collective coordinates is considered in the Lagrangian formalism. The motion of a particle in a Riemannian manifold is studied in the case when the classical solutions break a non-abelian global invariance of the action. Collective coordinates are introduced, and the resulting gauge theory is quantized in the BRST antifield formalism. The partition function is computed perturbatively to two-loops, and it is shown that the results are independent of gauge-fixing parameters. |
hep-th/0401219 | Dorothea Bahns | Dorothea Bahns | The ultraviolet-finite Hamiltonian approach on the noncommutative
Minkowski space | Written version of a talk presented at the 36th International
Symposium Ahrenshoop on the Theory of Elementary Particles, 26-30 August
2003, Wernsdorf, Germany. To appear in a special issue of "Fortschritte der
Physik" | Fortsch.Phys. 52 (2004) 458-463 | 10.1002/prop.200310130 | null | hep-th | null | This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and G.
Piacitelli on field theory on the noncommutative Minkowski space. The limit of
coinciding points is modified compared to ordinary field theory in a suitable
way which allows for the definition of so-called regularized field monomials as
interaction terms. Employing these in the Hamiltonian formalism results in an
ultraviolet finite S-matrix.
| [
{
"created": "Wed, 28 Jan 2004 11:23:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bahns",
"Dorothea",
""
]
] | This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and G. Piacitelli on field theory on the noncommutative Minkowski space. The limit of coinciding points is modified compared to ordinary field theory in a suitable way which allows for the definition of so-called regularized field monomials as interaction terms. Employing these in the Hamiltonian formalism results in an ultraviolet finite S-matrix. |
2203.04981 | Nicholas Warner | Iosif Bena, Emil J. Martinec, Samir D. Mathur and Nicholas P. Warner | Snowmass White Paper: Micro- and Macro-Structure of Black Holes | 11 pages + References | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The black-hole information paradox provides a stringent test of would-be
theories of quantum gravity. String theory has made significant progress toward
a resolution of this paradox, and has led to the fuzzball and microstate
geometry programs. The central thesis of these programs is that only string
theory has sufficiently many degrees of freedom to resolve black-hole
microstructure, and that horizons and singularities are artifacts of attempting
to describe gravity using a theory that has too few degrees of freedom to
resolve the physics. Fuzzballs and microstate geometries recast black holes
within string theory as horizonless and singularity-free objects that not only
resolve the paradox but provide new insight into the underlying microstructure.
We give an overview of this approach, summarize its current status and describe
future prospects and insights that are now within reach.
| [
{
"created": "Wed, 9 Mar 2022 19:00:01 GMT",
"version": "v1"
}
] | 2022-03-11 | [
[
"Bena",
"Iosif",
""
],
[
"Martinec",
"Emil J.",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | The black-hole information paradox provides a stringent test of would-be theories of quantum gravity. String theory has made significant progress toward a resolution of this paradox, and has led to the fuzzball and microstate geometry programs. The central thesis of these programs is that only string theory has sufficiently many degrees of freedom to resolve black-hole microstructure, and that horizons and singularities are artifacts of attempting to describe gravity using a theory that has too few degrees of freedom to resolve the physics. Fuzzballs and microstate geometries recast black holes within string theory as horizonless and singularity-free objects that not only resolve the paradox but provide new insight into the underlying microstructure. We give an overview of this approach, summarize its current status and describe future prospects and insights that are now within reach. |
hep-th/0602033 | S. Q. Wu | Shuang-Qing Wu, Qing-Quan Jiang | Remarks on Hawking radiation as tunneling from the BTZ black holes | 12pages, no figure, use JHEP3.cls. Version better than published one
in JHEP | JHEP 0603 (2006) 079 | 10.1088/1126-6708/2006/03/079 | null | hep-th gr-qc | null | Hawking radiation viewed as a semiclassical tunneling process from the event
horizon of the (2 + 1)-dimensional rotating BTZ black hole is carefully
reexamined by taking into account not only the energy conservation but also the
conservation of angular momentum when the effect of the emitted particle's
self-gravitation is incorporated. In contrast to previous analysis of this
issue in the literature, our result obtained here fits well to the
Kraus-Parikh-Wilczek's universal conclusion without any modification to the
Bekenstein-Hawking area-entropy formulae of the BTZ black hole.
| [
{
"created": "Fri, 3 Feb 2006 09:15:14 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2006 09:19:49 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 2006 10:50:14 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Feb 2006 02:09:48 GMT",
"version": "v4"
},
{
"created": "Sat, 25 Mar 2006 01:12:30 GMT",
"version": "v5"
}
] | 2009-11-11 | [
[
"Wu",
"Shuang-Qing",
""
],
[
"Jiang",
"Qing-Quan",
""
]
] | Hawking radiation viewed as a semiclassical tunneling process from the event horizon of the (2 + 1)-dimensional rotating BTZ black hole is carefully reexamined by taking into account not only the energy conservation but also the conservation of angular momentum when the effect of the emitted particle's self-gravitation is incorporated. In contrast to previous analysis of this issue in the literature, our result obtained here fits well to the Kraus-Parikh-Wilczek's universal conclusion without any modification to the Bekenstein-Hawking area-entropy formulae of the BTZ black hole. |
hep-th/9912064 | Konstantin G. Zloshchastiev | Konstantin G. Zloshchastiev | Zero-brane approach to quantization of biscalar field theory about
topological kink-bell solution | some references were added | Europhys.Lett. 49 (2000) 20-26 | 10.1209/epl/i2000-00114-3 | null | hep-th gr-qc | null | We study the properties of the topologically nontrivial doublet solution
arisen in the biscalar theory with a fourth-power potential introducing an
example of the spontaneous breaking of symmetry. We rule out the zero-brane
(non-minimal point particle) action for this doublet as a particle with
curvature. When quantizing it as the theory with higher derivatives, we
calculate the quantum corrections to the mass of the doublet which could not be
obtained by means of the perturbation theory.
| [
{
"created": "Wed, 8 Dec 1999 08:59:35 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 1999 16:40:57 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zloshchastiev",
"Konstantin G.",
""
]
] | We study the properties of the topologically nontrivial doublet solution arisen in the biscalar theory with a fourth-power potential introducing an example of the spontaneous breaking of symmetry. We rule out the zero-brane (non-minimal point particle) action for this doublet as a particle with curvature. When quantizing it as the theory with higher derivatives, we calculate the quantum corrections to the mass of the doublet which could not be obtained by means of the perturbation theory. |
1410.2486 | Rudra Prakash Malik | N. Srinivas, A. Shukla, R. P. Malik | N = 2 Supersymmetric Harmonic Oscillator: Basic Brackets Without
Canonical Conjugate Momenta | LaTeX file, 12 pages, journal reference is given | Int. J. Mod. Phys. A 30: 1550166 [p01--p12], 2015 | 10.1142/S0217751X15501663 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We exploit the ideas of spin-statistics theorem, normal-ordering and the key
concepts behind the symmetry principles to derive the canonical
(anti)commutators for the case of a one (0 + 1)-dimensional (1D) N = 2
supersymmetric (SUSY) harmonic oscillator (HO) without taking the help of the
mathematical definition of canonical conjugate momenta with respect to the
bosonic and fermionic variables of this toy model for the Hodge theory (where
the continuous and discrete symmetries of the theory provide the physical
realizations of the de Rham cohomological operators of differential geometry).
In our present endeavor, it is the full set of continuous symmetries and their
corresponding generators that lead to the derivation of basic (anti)commutators
amongst the creation and annihilation operators that appear in the normal mode
expansions of the dynamical fermionic and bosonic variables of our present N =
2 SUSY theory of a HO. These basic brackets are in complete agreement with such
kind of brackets that are derived from the standard canonical method of
quantization scheme.
| [
{
"created": "Thu, 9 Oct 2014 14:34:02 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Aug 2015 07:15:49 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Sep 2015 05:56:17 GMT",
"version": "v3"
}
] | 2015-09-11 | [
[
"Srinivas",
"N.",
""
],
[
"Shukla",
"A.",
""
],
[
"Malik",
"R. P.",
""
]
] | We exploit the ideas of spin-statistics theorem, normal-ordering and the key concepts behind the symmetry principles to derive the canonical (anti)commutators for the case of a one (0 + 1)-dimensional (1D) N = 2 supersymmetric (SUSY) harmonic oscillator (HO) without taking the help of the mathematical definition of canonical conjugate momenta with respect to the bosonic and fermionic variables of this toy model for the Hodge theory (where the continuous and discrete symmetries of the theory provide the physical realizations of the de Rham cohomological operators of differential geometry). In our present endeavor, it is the full set of continuous symmetries and their corresponding generators that lead to the derivation of basic (anti)commutators amongst the creation and annihilation operators that appear in the normal mode expansions of the dynamical fermionic and bosonic variables of our present N = 2 SUSY theory of a HO. These basic brackets are in complete agreement with such kind of brackets that are derived from the standard canonical method of quantization scheme. |
hep-th/9808163 | Carmen Molina-Paris | Bryce DeWitt and Carmen Molina-Paris | Quantum Gravity Without Ghosts | This is a paper submitted to the Gravity Research Foundation Essay
Competition of 1998 that received Honorable Mention | Mod.Phys.Lett. A13 (1998) 2475-2478 | 10.1142/S0217732398002631 | LAUR# 98-1014 | hep-th gr-qc | null | An outline is given of a recently discovered technique for building a quantum
effective action that is completely independent of gauge-fixing choices and
ghost determinants. One makes maximum use of the geometry and fibre-bundle
structure of the space of field histories and introduces a set of nonlocal
composite fields: the geodesic normal fields based on Vilkovisky's connection
on the space of histories. The closed-time-path formalism of Schwinger, Bakshi,
Mahantappa {\it et al} can be adapted for these fields, and a set of
gauge-fixing-independent dynamical equations for their expectation values
(starting from given initial conditions) can be computed. An obvious
application for such equations is to the study of the formation and radiative
decay of black holes, and to other back-reaction problems.
| [
{
"created": "Thu, 27 Aug 1998 00:57:21 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"DeWitt",
"Bryce",
""
],
[
"Molina-Paris",
"Carmen",
""
]
] | An outline is given of a recently discovered technique for building a quantum effective action that is completely independent of gauge-fixing choices and ghost determinants. One makes maximum use of the geometry and fibre-bundle structure of the space of field histories and introduces a set of nonlocal composite fields: the geodesic normal fields based on Vilkovisky's connection on the space of histories. The closed-time-path formalism of Schwinger, Bakshi, Mahantappa {\it et al} can be adapted for these fields, and a set of gauge-fixing-independent dynamical equations for their expectation values (starting from given initial conditions) can be computed. An obvious application for such equations is to the study of the formation and radiative decay of black holes, and to other back-reaction problems. |
hep-th/0003051 | Emery Sokatchev | Sergio Ferrara and Emery Sokatchev | Conformal primaries of OSp(8/4,R) and BPS states in AdS4 | refrences added | JHEP 0005 (2000) 038 | 10.1088/1126-6708/2000/05/038 | null | hep-th | null | We derive short UIR's of the OSp(8/4,R) superalgebra of 3d N=8 superconformal
field theories by the requirement that the highest weight states are
annihilated by a subset of the super-Poincare odd generators. We then find a
superfield realization of these BPS saturated UIR's as "composite operators" of
the two basic ultrashort "supersingleton" multiplets. These representations are
the AdS4 analogue of BPS states preserving different fractions of supersymmetry
and are therefore suitable to classify perturbative and non-perturbative
excitations of M-theory compactifications.
| [
{
"created": "Tue, 7 Mar 2000 18:50:41 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Mar 2000 16:52:15 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Apr 2000 18:23:11 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Ferrara",
"Sergio",
""
],
[
"Sokatchev",
"Emery",
""
]
] | We derive short UIR's of the OSp(8/4,R) superalgebra of 3d N=8 superconformal field theories by the requirement that the highest weight states are annihilated by a subset of the super-Poincare odd generators. We then find a superfield realization of these BPS saturated UIR's as "composite operators" of the two basic ultrashort "supersingleton" multiplets. These representations are the AdS4 analogue of BPS states preserving different fractions of supersymmetry and are therefore suitable to classify perturbative and non-perturbative excitations of M-theory compactifications. |
1603.01092 | Pietro Antonio Grassi | L. Castellani, R. Catenacci and P.A. Grassi | Integral representations in supermanifolds: super Hodge duals, PCOs and
Liouville forms | A section of the present paper was already presented in a previous
preprint arXiv:1511.05105. This is the complete, extended version of that
work. 21 pages. No figures. Names of authors corrected in the metadata. Minor
corrections, version accepted for publication Lett. Math. Phys | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present few types of integral transforms and integral representations that
are very useful for extending to supergeometry many familiar concepts of
differential geometry. Among them we discuss the construction of the super
Hodge dual, the integral representation of picture changing operators of string
theories and the construction of the super-Liouville form of a symplectic
supermanifold.
| [
{
"created": "Thu, 3 Mar 2016 13:26:32 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Mar 2016 10:29:02 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Sep 2016 09:15:35 GMT",
"version": "v3"
}
] | 2016-09-08 | [
[
"Castellani",
"L.",
""
],
[
"Catenacci",
"R.",
""
],
[
"Grassi",
"P. A.",
""
]
] | We present few types of integral transforms and integral representations that are very useful for extending to supergeometry many familiar concepts of differential geometry. Among them we discuss the construction of the super Hodge dual, the integral representation of picture changing operators of string theories and the construction of the super-Liouville form of a symplectic supermanifold. |
2003.02918 | Dmitry Ageev | Dmitry S. Ageev | Sharp disentanglement in holographic charged local quench | 22 pages, 8 figures; v3: 24 pages, 9 figures | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a charged falling particle in an AdS space as a holographic model
of local charged quench generalizing model of arXiv:1302.5703. The quench is
followed by evolving currents and inhomogeneous distribution of chemical
potential. We derive the analytical formula describing the evolution of the
entanglement entropy. At some characteristic time after the quench, we find
that the entanglement shows a sharp dip. This effect is universal and
independent of the dimension of the system. At finite temperature
generalization of this model, we find that multiple dips and ramps appear.
| [
{
"created": "Thu, 5 Mar 2020 20:55:56 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2020 17:15:54 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2020 17:50:09 GMT",
"version": "v3"
}
] | 2020-07-02 | [
[
"Ageev",
"Dmitry S.",
""
]
] | We propose a charged falling particle in an AdS space as a holographic model of local charged quench generalizing model of arXiv:1302.5703. The quench is followed by evolving currents and inhomogeneous distribution of chemical potential. We derive the analytical formula describing the evolution of the entanglement entropy. At some characteristic time after the quench, we find that the entanglement shows a sharp dip. This effect is universal and independent of the dimension of the system. At finite temperature generalization of this model, we find that multiple dips and ramps appear. |
1212.2922 | Yasha Neiman | Yasha Neiman | On-shell actions with lightlike boundary data | 39 pages, 3 figures; v2: fixed minor errors, added refs. to
subsequent work on the imaginary part of the GR action | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that finite-region observables in quantum gravity are best
approached in terms of boundary data on null hypersurfaces. This has
far-reaching effects on the basic notions of classical and quantum mechanics,
such as Hamiltonians and canonical conjugates. Such radical properties are not
unexpected in finite-region quantum gravity. We are thus motivated to
reformulate field theory in terms of null boundary data. As a starting point,
we consider the on-shell action functional for classical field theory in finite
null-bounded regions. Closed-form results are obtained for free scalars and for
Maxwell fields. The action of classical gravity is also discussed, to the
extent possible without solving the field equations. These action functionals
exhibit non-locality and, in special cases, a "holographic" reduction of the
degrees of freedom. Also, they cannot be used to define global charges. Whereas
for ordinary field theory these are just artifacts of a restrictive formalism,
in quantum gravity they are expected to be genuine features. This further
supports a connection between quantum gravity and null-boundary observables. In
our treatment of the GR action, we identify a universal imaginary term that
reproduces the Bekenstein entropy formula.
| [
{
"created": "Wed, 12 Dec 2012 18:35:57 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Sep 2013 17:52:30 GMT",
"version": "v2"
}
] | 2013-09-23 | [
[
"Neiman",
"Yasha",
""
]
] | We argue that finite-region observables in quantum gravity are best approached in terms of boundary data on null hypersurfaces. This has far-reaching effects on the basic notions of classical and quantum mechanics, such as Hamiltonians and canonical conjugates. Such radical properties are not unexpected in finite-region quantum gravity. We are thus motivated to reformulate field theory in terms of null boundary data. As a starting point, we consider the on-shell action functional for classical field theory in finite null-bounded regions. Closed-form results are obtained for free scalars and for Maxwell fields. The action of classical gravity is also discussed, to the extent possible without solving the field equations. These action functionals exhibit non-locality and, in special cases, a "holographic" reduction of the degrees of freedom. Also, they cannot be used to define global charges. Whereas for ordinary field theory these are just artifacts of a restrictive formalism, in quantum gravity they are expected to be genuine features. This further supports a connection between quantum gravity and null-boundary observables. In our treatment of the GR action, we identify a universal imaginary term that reproduces the Bekenstein entropy formula. |
hep-th/9309096 | null | M. Matone | Quantum Riemann surfaces, 2D gravity and the geometrical origin of
minimal models | DFPD/93/TH/62. Remarks on the d=1 barrier and references added | Mod.Phys.Lett. A9 (1994) 2871-2878 | 10.1142/S0217732394002719 | null | hep-th | null | Based on a recent paper by Takhtajan, we propose a formulation of 2D quantum
gravity whose basic object is the Liouville action on the Riemann sphere
$\Sigma_{0,m+n}$ with both parabolic and elliptic points. The identification of
the classical limit of the conformal Ward identity with the Fuchsian projective
connection on $\Sigma_{0,m+n}$ implies a relation between conformal weights and
ramification indices. This formulation works for arbitrary $d$ and admits a
standard representation only for $d\le 1$. Furthermore, it turns out that the
integerness of the ramification number constrains $d=1-24/(n^2-1)$ that for
$n=2m+1$ coincides with the unitary minimal series of CFT.
| [
{
"created": "Fri, 17 Sep 1993 17:24:18 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Sep 1993 16:34:46 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Feb 1994 14:59:15 GMT",
"version": "v3"
}
] | 2009-10-22 | [
[
"Matone",
"M.",
""
]
] | Based on a recent paper by Takhtajan, we propose a formulation of 2D quantum gravity whose basic object is the Liouville action on the Riemann sphere $\Sigma_{0,m+n}$ with both parabolic and elliptic points. The identification of the classical limit of the conformal Ward identity with the Fuchsian projective connection on $\Sigma_{0,m+n}$ implies a relation between conformal weights and ramification indices. This formulation works for arbitrary $d$ and admits a standard representation only for $d\le 1$. Furthermore, it turns out that the integerness of the ramification number constrains $d=1-24/(n^2-1)$ that for $n=2m+1$ coincides with the unitary minimal series of CFT. |
hep-th/0512181 | Alessandro Fabbri | S. Farese | Regularity of the stress-energy tensor for extremal Reissner-Nordstrom
black holes | 10 pages, 1 figure; Talk given at QG05, Cala Gonone (Italy),
September 2005 | J.Phys.Conf.Ser. 33 (2006) 451-456 | 10.1088/1742-6596/33/1/058 | null | hep-th gr-qc | null | We calculate the expectation values of the stress-energy tensor for both a
massless minimally-coupled and dilaton-coupled 2D field propagating on an
extremal Reissner-Nordstrom black hole, showing its regularity on the horizon
in contrast with previous claims in the literature.
| [
{
"created": "Thu, 15 Dec 2005 13:46:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Farese",
"S.",
""
]
] | We calculate the expectation values of the stress-energy tensor for both a massless minimally-coupled and dilaton-coupled 2D field propagating on an extremal Reissner-Nordstrom black hole, showing its regularity on the horizon in contrast with previous claims in the literature. |
0708.0069 | Sachindeo Vaidya | A. P. Balachandran, A. Pinzul, B. A. Qureshi and S. Vaidya | Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane | 17 pages, LaTeX, 1 figure | Phys.Rev.D76:105025,2007 | 10.1103/PhysRevD.76.105025 | SU-4252-859, IISc/CHEP/11/07 | hep-th gr-qc hep-ph math-ph math.MP math.QA | null | Recent work [hep-th/0504183,hep-th/0508002] indicates an approach to the
formulation of diffeomorphism invariant quantum field theories (qft's) on the
Groenewold-Moyal (GM) plane. In this approach to the qft's, statistics gets
twisted and the S-matrix in the non-gauge qft's becomes independent of the
noncommutativity parameter theta^{\mu\nu}. Here we show that the noncommutative
algebra has a commutative spacetime algebra as a substructure: the Poincare,
diffeomorphism and gauge groups are based on this algebra in the twisted
approach as is known already from the earlier work of [hep-th/0510059]. It is
natural to base covariant derivatives for gauge and gravity fields as well on
this algebra. Such an approach will in particular introduce no additional gauge
fields as compared to the commutative case and also enable us to treat any
gauge group (and not just U(N)). Then classical gravity and gauge sectors are
the same as those for \theta^{\mu \nu}=0, but their interactions with matter
fields are sensitive to theta^{\mu \nu}. We construct quantum noncommutative
gauge theories (for arbitrary gauge groups) by requiring consistency of twisted
statistics and gauge invariance. In a subsequent paper (whose results are
summarized here), the locality and Lorentz invariance properties of the
S-matrices of these theories will be analyzed, and new non-trivial effects
coming from noncommutativity will be elaborated.
This paper contains further developments of [hep-th/0608138] and a new
formulation based on its approach.
| [
{
"created": "Wed, 1 Aug 2007 05:22:55 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 04:15:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Balachandran",
"A. P.",
""
],
[
"Pinzul",
"A.",
""
],
[
"Qureshi",
"B. A.",
""
],
[
"Vaidya",
"S.",
""
]
] | Recent work [hep-th/0504183,hep-th/0508002] indicates an approach to the formulation of diffeomorphism invariant quantum field theories (qft's) on the Groenewold-Moyal (GM) plane. In this approach to the qft's, statistics gets twisted and the S-matrix in the non-gauge qft's becomes independent of the noncommutativity parameter theta^{\mu\nu}. Here we show that the noncommutative algebra has a commutative spacetime algebra as a substructure: the Poincare, diffeomorphism and gauge groups are based on this algebra in the twisted approach as is known already from the earlier work of [hep-th/0510059]. It is natural to base covariant derivatives for gauge and gravity fields as well on this algebra. Such an approach will in particular introduce no additional gauge fields as compared to the commutative case and also enable us to treat any gauge group (and not just U(N)). Then classical gravity and gauge sectors are the same as those for \theta^{\mu \nu}=0, but their interactions with matter fields are sensitive to theta^{\mu \nu}. We construct quantum noncommutative gauge theories (for arbitrary gauge groups) by requiring consistency of twisted statistics and gauge invariance. In a subsequent paper (whose results are summarized here), the locality and Lorentz invariance properties of the S-matrices of these theories will be analyzed, and new non-trivial effects coming from noncommutativity will be elaborated. This paper contains further developments of [hep-th/0608138] and a new formulation based on its approach. |
hep-th/0012085 | Rudra Prakash Malik | R. P. Malik (Bose National Centre, Calcutta) | New topological field theories in two dimensions | 18 pages, LaTeX, no figures, version to appear in J. Phys. A: Math
Gen | J.Phys.A34:4167-4182,2001 | 10.1088/0305-4470/34/19/314 | null | hep-th | null | It is shown that two$(1 + 1)$-dimensional (2D) free Abelian- and
self-interacting non-Abelian gauge theories (without any interaction with
matter fields) belong to a new class of topological field theories. These new
theories capture together some of the key features of Witten- and Schwarz type
of topological field theories because they are endowed with symmetries that are
reminiscent of the Schwarz type theories but their Lagrangian density has the
appearance of the Witten type theories. The topological invariants for these
theories are computed on a 2D compact manifold and their recursion relations
are obtained. These new theories are shown to provide a class of tractable
field theoretical models for the Hodge theory in two dimensions of flat
(Minkowski) spacetime where there are no propagating degrees of freedom
associated with the 2D gauge boson.
| [
{
"created": "Mon, 11 Dec 2000 07:31:57 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jan 2001 16:14:22 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Apr 2001 06:20:20 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre, Calcutta"
]
] | It is shown that two$(1 + 1)$-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (without any interaction with matter fields) belong to a new class of topological field theories. These new theories capture together some of the key features of Witten- and Schwarz type of topological field theories because they are endowed with symmetries that are reminiscent of the Schwarz type theories but their Lagrangian density has the appearance of the Witten type theories. The topological invariants for these theories are computed on a 2D compact manifold and their recursion relations are obtained. These new theories are shown to provide a class of tractable field theoretical models for the Hodge theory in two dimensions of flat (Minkowski) spacetime where there are no propagating degrees of freedom associated with the 2D gauge boson. |
hep-th/9508053 | Senarath P. de Alwis | S.P. de Alwis | Remarks on supersymmetric effective actions and supersymmetry breaking | 18 pages, Latex, Two references added, some minor changes and some
additional discussion in concluding section, cover letter removed! | null | null | COLO-HEP-363 | hep-th | null | We discuss some issues related to the definition of different effective
actions, in connection with the work on supersymmetric theories by Seiberg and
collaborators. We also comment on the possibility of extending this work to
broken supersymmetric theories.
| [
{
"created": "Sat, 12 Aug 1995 02:48:54 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 1995 20:23:07 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Nov 1995 20:12:59 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"de Alwis",
"S. P.",
""
]
] | We discuss some issues related to the definition of different effective actions, in connection with the work on supersymmetric theories by Seiberg and collaborators. We also comment on the possibility of extending this work to broken supersymmetric theories. |
0708.2123 | Wen-Yu Wen | Wen-Yu Wen | Multi-quark potential from AdS/QCD | 15 pages, 5 figures, REVTex4 | Int.J.Mod.Phys.A23:4533-4543,2008 | 10.1142/S0217751X08041475 | null | hep-th hep-ph | null | Heavy multi-quark potential in the SU(N) color group using hard-wall AdS/QCD
at both zero and finite temperature is studied. A Cornell-like potential is
obtained for baryons and other exotic configurations and compared with those in
the quenched lattice calculation in N=3 case. At the end we also discuss
possible improvements in the UV region of potential.
| [
{
"created": "Thu, 16 Aug 2007 06:12:40 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2007 09:01:48 GMT",
"version": "v2"
},
{
"created": "Wed, 14 May 2008 03:57:41 GMT",
"version": "v3"
}
] | 2008-12-18 | [
[
"Wen",
"Wen-Yu",
""
]
] | Heavy multi-quark potential in the SU(N) color group using hard-wall AdS/QCD at both zero and finite temperature is studied. A Cornell-like potential is obtained for baryons and other exotic configurations and compared with those in the quenched lattice calculation in N=3 case. At the end we also discuss possible improvements in the UV region of potential. |
hep-th/0701251 | Paulo A. Faria da Veiga | Petrus H.R. dos Anjos, Paulo A. Faria da Veiga | The low-lying energy-momentum spectrum for the four-Fermi model on a
lattice | 4 pages, no figures | null | null | null | hep-th | null | We obtain the low-lying energy-momentum spectrum for the imaginary-time
lattice four-Fermi or Gross-Neveu model in $d+1$ space-time dimensions
($d=1,2,3$) and with $N$-component fermions. Let $\kappa>0$ be the hopping
parameter, $\lambda>0$ the four-fermion coupling and $M>0$ denote the fermion
mass; and take $s\times s$ spin matrices, $s=2,4$. We work in the $\kappa\ll 1$
regime. Our analysis of the one- and the two-particle spectrum is based on
spectral representation for suitable two- and four-fermion correlations. The
one-particle energy-momentum spectrum is obtained rigorously and is manifested
by $sN/2$ isolated and identical dispersion curves, and the mass of particles
has asymptotic value $-\ln\kappa$. The existence of two-particle bound states
above or below the two-particle band depends on whether Gaussian domination
does hold or does not, respectively. Two-particle bound states emerge from
solutions to a lattice Bethe-Salpeter equation, in a ladder approximation.
Within this approximation, the $sN(sN/2-1)/4$ identical bound states have
${\cal O}(\kappa^0)$ binding energies at zero system momentum and their masses
are all equal, with value $\approx -2\ln\kappa$. Our results can be validated
to the complete model as the Bethe-Salpeter kernel exhibits good decay
properties.
| [
{
"created": "Fri, 26 Jan 2007 21:43:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Anjos",
"Petrus H. R. dos",
""
],
[
"da Veiga",
"Paulo A. Faria",
""
]
] | We obtain the low-lying energy-momentum spectrum for the imaginary-time lattice four-Fermi or Gross-Neveu model in $d+1$ space-time dimensions ($d=1,2,3$) and with $N$-component fermions. Let $\kappa>0$ be the hopping parameter, $\lambda>0$ the four-fermion coupling and $M>0$ denote the fermion mass; and take $s\times s$ spin matrices, $s=2,4$. We work in the $\kappa\ll 1$ regime. Our analysis of the one- and the two-particle spectrum is based on spectral representation for suitable two- and four-fermion correlations. The one-particle energy-momentum spectrum is obtained rigorously and is manifested by $sN/2$ isolated and identical dispersion curves, and the mass of particles has asymptotic value $-\ln\kappa$. The existence of two-particle bound states above or below the two-particle band depends on whether Gaussian domination does hold or does not, respectively. Two-particle bound states emerge from solutions to a lattice Bethe-Salpeter equation, in a ladder approximation. Within this approximation, the $sN(sN/2-1)/4$ identical bound states have ${\cal O}(\kappa^0)$ binding energies at zero system momentum and their masses are all equal, with value $\approx -2\ln\kappa$. Our results can be validated to the complete model as the Bethe-Salpeter kernel exhibits good decay properties. |
hep-th/0010003 | Emil Akhmedov | Emil T. Akhmedov, Philip DeBoer and Gordon W. Semenoff | Running couplings and triviality of field theories on non-commutative
spaces | Latex, 9p, Minor changes, references and clarifications are added | Phys.Rev. D64 (2001) 065005 | 10.1103/PhysRevD.64.065005 | null | hep-th | null | We examine the issue of renormalizability of asymptotically free field
theories on non-commutative spaces. As an example, we solve the non-commutative
O(N) invariant Gross-Neveu model at large N. On commutative space this is a
renormalizable model with non-trivial interactions. On the noncommutative
space, if we take the translation invariant ground state, we find that the
model is non-renormalizable. Removing the ultraviolet cutoff yields a trivial
non-interacting theory.
| [
{
"created": "Sun, 1 Oct 2000 02:26:55 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2000 21:21:58 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Akhmedov",
"Emil T.",
""
],
[
"DeBoer",
"Philip",
""
],
[
"Semenoff",
"Gordon W.",
""
]
] | We examine the issue of renormalizability of asymptotically free field theories on non-commutative spaces. As an example, we solve the non-commutative O(N) invariant Gross-Neveu model at large N. On commutative space this is a renormalizable model with non-trivial interactions. On the noncommutative space, if we take the translation invariant ground state, we find that the model is non-renormalizable. Removing the ultraviolet cutoff yields a trivial non-interacting theory. |
0909.4737 | Hisham Sati | Hisham Sati | On the geometry of the supermultiplet in M-theory | 28 pages, exposition improved, minor changes, references added | Int. J. Geom. Meth. Mod. Phys. 8 (2011) 1-33 | 10.1142/S0219887811005774 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The massless supermultiplet of eleven-dimensional supergravity can be
generated from the decomposition of certain representation of the exceptional
Lie group F4 into those of its maximal compact subgroup Spin(9). In an earlier
paper, a dynamical Kaluza-Klein origin of this observation is proposed with
internal space the Cayley plane, OP2, and topological aspects are explored. In
this paper we consider the geometric aspects and characterize the corresponding
forms which contribute to the action as well as cohomology classes, including
torsion, which contribute to the partition function. This involves
constructions with bilinear forms. The compatibility with various string
theories are discussed, including reduction to loop bundles in ten dimensions.
| [
{
"created": "Fri, 25 Sep 2009 16:25:05 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Nov 2011 00:11:36 GMT",
"version": "v2"
}
] | 2011-11-08 | [
[
"Sati",
"Hisham",
""
]
] | The massless supermultiplet of eleven-dimensional supergravity can be generated from the decomposition of certain representation of the exceptional Lie group F4 into those of its maximal compact subgroup Spin(9). In an earlier paper, a dynamical Kaluza-Klein origin of this observation is proposed with internal space the Cayley plane, OP2, and topological aspects are explored. In this paper we consider the geometric aspects and characterize the corresponding forms which contribute to the action as well as cohomology classes, including torsion, which contribute to the partition function. This involves constructions with bilinear forms. The compatibility with various string theories are discussed, including reduction to loop bundles in ten dimensions. |
2106.15644 | Hrishikesh Patel | Salman Sajad Wani, Arshid Shabir, Junaid Ul Hassan, S. Kannan,
Hrishikesh Patel, C. Sudheesh, Mir Faizal | Construction of Quantum Target Space from World-Sheet States using
Quantum State Tomography | 13 pages, 4 figures, 1 appendix | Annals Phys. 441 (2022) 168867 | 10.1016/j.aop.2022.168867 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we will construct the quantum states of target space
coordinates from world-sheet states, using quantum state tomography. To perform
quantum state tomography of an open string, we will construct suitable
quadrature operators. We do this by first defining the quadrature operators in
world-sheet, and then using them to construct the quantum target space
quadrature operators for an open string. We will connect the quantum target
space to classical geometry using coherent string states. We will be using a
novel construction based on a string displacement operator to construct these
coherent states. The coherent states of the world-sheet will also be used to
construct the coherent states in target space.
| [
{
"created": "Tue, 29 Jun 2021 18:00:38 GMT",
"version": "v1"
}
] | 2022-05-05 | [
[
"Wani",
"Salman Sajad",
""
],
[
"Shabir",
"Arshid",
""
],
[
"Hassan",
"Junaid Ul",
""
],
[
"Kannan",
"S.",
""
],
[
"Patel",
"Hrishikesh",
""
],
[
"Sudheesh",
"C.",
""
],
[
"Faizal",
"Mir",
""
]
] | In this paper, we will construct the quantum states of target space coordinates from world-sheet states, using quantum state tomography. To perform quantum state tomography of an open string, we will construct suitable quadrature operators. We do this by first defining the quadrature operators in world-sheet, and then using them to construct the quantum target space quadrature operators for an open string. We will connect the quantum target space to classical geometry using coherent string states. We will be using a novel construction based on a string displacement operator to construct these coherent states. The coherent states of the world-sheet will also be used to construct the coherent states in target space. |
hep-th/9309088 | Costas Daskaloyannis | Dennis Bonatsos, C. Daskaloyannis and K. Kokkotas | Deformed oscillator algebras for two dimensional quantum superintegrable
systems | 22 pages, THES-TP 10/93, hep-the/yymmnnn | Phys. Rev. A 50 (1994) 3700 | 10.1103/PhysRevA.50.3700 | null | hep-th | null | Quantum superintegrable systems in two dimensions are obtained from their
classical counterparts, the quantum integrals of motion being obtained from the
corresponding classical integrals by a symmetrization procedure. For each
quantum superintegrable systema deformed oscillator algebra, characterized by a
structure function specific for each system, is constructed, the generators of
the algebra being functions of the quantum integrals of motion. The energy
eigenvalues corresponding to a state with finite dimensional degeneracy can
then be obtained in an economical way from solving a system of two equations
satisfied by the structure function, the results being in agreement to the ones
obtained from the solution of the relevant Schrodinger equation. The method
shows how quantum algebraic techniques can simplify the study of quantum
superintegrable systems, especially in two dimensions.
| [
{
"created": "Thu, 16 Sep 1993 06:24:36 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bonatsos",
"Dennis",
""
],
[
"Daskaloyannis",
"C.",
""
],
[
"Kokkotas",
"K.",
""
]
] | Quantum superintegrable systems in two dimensions are obtained from their classical counterparts, the quantum integrals of motion being obtained from the corresponding classical integrals by a symmetrization procedure. For each quantum superintegrable systema deformed oscillator algebra, characterized by a structure function specific for each system, is constructed, the generators of the algebra being functions of the quantum integrals of motion. The energy eigenvalues corresponding to a state with finite dimensional degeneracy can then be obtained in an economical way from solving a system of two equations satisfied by the structure function, the results being in agreement to the ones obtained from the solution of the relevant Schrodinger equation. The method shows how quantum algebraic techniques can simplify the study of quantum superintegrable systems, especially in two dimensions. |
hep-th/9512129 | Thomas Mohaupt | Gabriel Lopes Cardoso, Gottfried Curio, Dieter Lust, Thomas Mohaupt
and Soo-Jong Rey | BPS Spectra and Non--Perturbative Couplings in N=2,4 Supersymmetric
String Theories | 44 pages, LaTeX. Minor changes, version that will appear in Nucl.
Phys. B | Nucl.Phys.B464:18-58,1996 | 10.1016/0550-3213(96)00069-7 | HUB-EP-95/33, CERN-TH/95-341, SNUTP-95/095 | hep-th | null | We study the BPS spectrum in $D=4, N=4$ heterotic string compactifications,
with some emphasis on intermediate $N=4$ BPS states. These intermediate states,
which can become short in $N=2$ compactifications, are crucial for establishing
an $S-T$ exchange symmetry in $N=2$ compactifications. We discuss the
implications of a possible $S-T$ exchange symmetry for the $N=2$ BPS spectrum.
Then we present the exact result for the 1-loop corrections to gravitational
couplings in one of the heterotic $N=2$ models recently discussed by Harvey and
Moore. We conjecture this model to have an $S-T$ exchange symmetry. This
exchange symmetry can then be used to evaluate non-perturbative corrections to
gravitational couplings in some of the non-perturbative regions (chambers) in
this particular model and also in other heterotic models.
| [
{
"created": "Mon, 18 Dec 1995 13:24:22 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 1995 13:22:52 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Feb 1996 10:27:23 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Curio",
"Gottfried",
""
],
[
"Lust",
"Dieter",
""
],
[
"Mohaupt",
"Thomas",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We study the BPS spectrum in $D=4, N=4$ heterotic string compactifications, with some emphasis on intermediate $N=4$ BPS states. These intermediate states, which can become short in $N=2$ compactifications, are crucial for establishing an $S-T$ exchange symmetry in $N=2$ compactifications. We discuss the implications of a possible $S-T$ exchange symmetry for the $N=2$ BPS spectrum. Then we present the exact result for the 1-loop corrections to gravitational couplings in one of the heterotic $N=2$ models recently discussed by Harvey and Moore. We conjecture this model to have an $S-T$ exchange symmetry. This exchange symmetry can then be used to evaluate non-perturbative corrections to gravitational couplings in some of the non-perturbative regions (chambers) in this particular model and also in other heterotic models. |
2101.08092 | Chunshan Lin | Chunshan Lin | An effective field theory of holographic dark energy | 18 pages, no figure; v2: minor revision, results unchanged; v3:
published version, a few remarks added, a few typos corrected | JCAP07(2021)003 | 10.1088/1475-7516/2021/07/003 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | A general covariant local field theory of the holographic dark energy model
is presented. It turns out the low energy effective theory of the holographic
dark energy is the massive gravity theory whose graviton has 3 polarisations,
including one scalar mode and two tensor modes. The Compton wavelength is the
size of the future event horizon of the universe. The UV-IR correspondence in
the holographic dark energy model stems from the scalar graviton's strong
coupling at the energy scale that marks the breaking down of the effective
field theory.
| [
{
"created": "Wed, 20 Jan 2021 12:17:30 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2021 11:35:51 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Jul 2021 16:47:13 GMT",
"version": "v3"
}
] | 2021-07-06 | [
[
"Lin",
"Chunshan",
""
]
] | A general covariant local field theory of the holographic dark energy model is presented. It turns out the low energy effective theory of the holographic dark energy is the massive gravity theory whose graviton has 3 polarisations, including one scalar mode and two tensor modes. The Compton wavelength is the size of the future event horizon of the universe. The UV-IR correspondence in the holographic dark energy model stems from the scalar graviton's strong coupling at the energy scale that marks the breaking down of the effective field theory. |
0811.1063 | Yuri Gusev | Yuri V. Gusev | Heat kernel expansion in the covariant perturbation theory | LaTeX, 33 pages | Nucl.Phys.B807:566,2009 | 10.1016/j.nuclphysb.2008.08.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Working within the framework of the covariant perturbation theory, we obtain
the coincidence limit of the heat kernel of an elliptic second order
differential operator that is applicable to a large class of quantum field
theories. The basis of tensor invariants of the curvatures of a gravity and
gauge field background, to the second order, is derived, and the form factors
acting on them are obtained in two integral representations. The results are
verified by the functional trace operation, by the short proper time
(Schwinger-DeWitt) expansions, as well as by the computation of the Green
function for the two-dimensional scalar field model.
| [
{
"created": "Thu, 6 Nov 2008 23:28:47 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Gusev",
"Yuri V.",
""
]
] | Working within the framework of the covariant perturbation theory, we obtain the coincidence limit of the heat kernel of an elliptic second order differential operator that is applicable to a large class of quantum field theories. The basis of tensor invariants of the curvatures of a gravity and gauge field background, to the second order, is derived, and the form factors acting on them are obtained in two integral representations. The results are verified by the functional trace operation, by the short proper time (Schwinger-DeWitt) expansions, as well as by the computation of the Green function for the two-dimensional scalar field model. |
hep-th/9504119 | Boos Herman | H. E. Boos | Modified tetrahedron equation and related 3D integrable models,II | 17 pages,LaTeX file | Int.J.Mod.Phys. A11 (1996) 313 | 10.1142/S0217751X96000158 | IHEP 95-06,MPI-Ph/95-15 | hep-th | null | This work is a continuation of paper (hep-th/9407146) where the Boltzmann
weights for the N-state integrable spin model on the cubic lattice has been
obtained only numerically. In this paper we present the analytical formulae for
this model in a particular case. Here the Boltzmann weights depend on six free
parameters including the elliptic modulus. The obtained solution allows to
construct a two-parametric family of the commuting two-layer transfer matrices.
Presented model is expected to be simpler for a further investigation in
comparison with a more general model mentioned above.
| [
{
"created": "Mon, 24 Apr 1995 17:47:22 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Boos",
"H. E.",
""
]
] | This work is a continuation of paper (hep-th/9407146) where the Boltzmann weights for the N-state integrable spin model on the cubic lattice has been obtained only numerically. In this paper we present the analytical formulae for this model in a particular case. Here the Boltzmann weights depend on six free parameters including the elliptic modulus. The obtained solution allows to construct a two-parametric family of the commuting two-layer transfer matrices. Presented model is expected to be simpler for a further investigation in comparison with a more general model mentioned above. |
hep-th/9605092 | Vadim Vereschagin | V.L.Vereschagin | Nonlinear Quasiclassics and Painlev\'e Equations | 5 pp., Latex | null | null | null | hep-th | null | Problem of asymptotic description for global solutions to the six Painleve
equations was investigated. Elliptic anzatzes and appropriate modulation
equations were written out.
| [
{
"created": "Tue, 14 May 1996 03:38:46 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 1996 00:09:36 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Vereschagin",
"V. L.",
""
]
] | Problem of asymptotic description for global solutions to the six Painleve equations was investigated. Elliptic anzatzes and appropriate modulation equations were written out. |
1105.4390 | Tatsuma Nishioka | Tatsuma Nishioka, Yuji Tachikawa, Masahito Yamazaki | 3d Partition Function as Overlap of Wavefunctions | 24 pages, 13 figures | JHEP 1108:003,2011 | 10.1007/JHEP08(2011)003 | PUPT-2376 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the partition function on S^3 of 3d N=4 theories which arise as
the low-energy limit of 4d N=4 super Yang-Mills theory on a segment or on a
junction, and propose its 1d interpretation. We show that the partition
function can be written as an overlap of wavefunctions determined by the
boundary conditions. We also comment on the connection of our results with the
4d superconformal index and the 2d q-deformed Yang-Mills theory.
| [
{
"created": "Mon, 23 May 2011 02:39:18 GMT",
"version": "v1"
}
] | 2011-08-16 | [
[
"Nishioka",
"Tatsuma",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | We compute the partition function on S^3 of 3d N=4 theories which arise as the low-energy limit of 4d N=4 super Yang-Mills theory on a segment or on a junction, and propose its 1d interpretation. We show that the partition function can be written as an overlap of wavefunctions determined by the boundary conditions. We also comment on the connection of our results with the 4d superconformal index and the 2d q-deformed Yang-Mills theory. |
hep-th/0503032 | Marc Wattenberg | Zdzislaw Burda, Bengt Petersson and Marc Wattenberg | Semiclassical Geometry of 4D Reduced Supersymmetric Yang-Mills Integrals | 14 pages, 5 figures, corrected version v3 | JHEP 0503 (2005) 058 | 10.1088/1126-6708/2005/03/058 | null | hep-th | null | We investigate semiclassical properties of space-time geometry of the low
energy limit of reduced four dimensional supersymmetric Yang-Mills integrals
using Monte-Carlo simulations. The limit is obtained by an one-loop
approximation of the original Yang-Mills integrals leading to an effective
model of branched polymers. We numerically determine the behaviour of the
gyration radius, the two-point correlation function and the Polyakov-line
operator in the effective model and discuss the results in the context of the
large-distance behaviour of the original matrix model.
| [
{
"created": "Thu, 3 Mar 2005 22:58:13 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 17:23:58 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Burda",
"Zdzislaw",
""
],
[
"Petersson",
"Bengt",
""
],
[
"Wattenberg",
"Marc",
""
]
] | We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte-Carlo simulations. The limit is obtained by an one-loop approximation of the original Yang-Mills integrals leading to an effective model of branched polymers. We numerically determine the behaviour of the gyration radius, the two-point correlation function and the Polyakov-line operator in the effective model and discuss the results in the context of the large-distance behaviour of the original matrix model. |
hep-th/9705077 | Carlos Naon | D. G. Barci and C. M. Na\'on | Vacuum properties of a Non-Local Thirring-Like Model | 25 pages, latex, no figures | Int.J.Mod.Phys. A13 (1998) 1169-1190 | 10.1142/S0217751X98000536 | La Plata-Th 97/07 | hep-th cond-mat | null | We use path-integral methods to analyze the vacuum properties of a recently
proposed extension of the Thirring model in which the interaction between
fermionic currents is non-local. We calculate the exact ground state wave
functional of the model for any bilocal potential, and also study its
long-distance behavior. We show that the ground state wave functional has a
general factored Jastrow form. We also find that it posess an interesting
symmetry involving the interchange of density-density and current-current
interactions.
| [
{
"created": "Mon, 12 May 1997 22:52:46 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Barci",
"D. G.",
""
],
[
"Naón",
"C. M.",
""
]
] | We use path-integral methods to analyze the vacuum properties of a recently proposed extension of the Thirring model in which the interaction between fermionic currents is non-local. We calculate the exact ground state wave functional of the model for any bilocal potential, and also study its long-distance behavior. We show that the ground state wave functional has a general factored Jastrow form. We also find that it posess an interesting symmetry involving the interchange of density-density and current-current interactions. |
2405.03758 | David Berenstein | David Berenstein, Simon Catterall, P.N. Thomas Lloyd | Staggered bosons and Kahler-Dirac bosons | 8 pages, Proceedings of the Corfu Summer Institute 2023, Workshop on
Noncommutative and Generalized Geometry in String theory, Gauge theory and
Related Physical Models | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a novel way to think about bosonic lattice theories in
Hamiltonian form where each lattice site has only a half boson degree of
freedom. The construction requires a non-trivial Poisson bracket between
neighboring sites and leads to gapless theories with non-invertible symmetries.
We also describe a bosonic version of Kahler-Dirac fermions, dubbed
Kahler-Dirac bosons that can be performed on any triangulation of a manifold.
This also leads to a straightforward implementation of supersymmetry on the
lattice and one immediately deduces the Dirac equation of the corresponding
Kahler-Dirac fermions.
| [
{
"created": "Mon, 6 May 2024 18:00:26 GMT",
"version": "v1"
}
] | 2024-05-08 | [
[
"Berenstein",
"David",
""
],
[
"Catterall",
"Simon",
""
],
[
"Lloyd",
"P. N. Thomas",
""
]
] | We describe a novel way to think about bosonic lattice theories in Hamiltonian form where each lattice site has only a half boson degree of freedom. The construction requires a non-trivial Poisson bracket between neighboring sites and leads to gapless theories with non-invertible symmetries. We also describe a bosonic version of Kahler-Dirac fermions, dubbed Kahler-Dirac bosons that can be performed on any triangulation of a manifold. This also leads to a straightforward implementation of supersymmetry on the lattice and one immediately deduces the Dirac equation of the corresponding Kahler-Dirac fermions. |
hep-th/0607105 | Nobuyoshi Ohta | Kazuyuki Furuuchi and Nobuyoshi Ohta | On the No-ghost Theorem in String Theory | 5 pages, v2: a note added and a ref. added, v3: minor refinement of
wording, published version | Prog.Theor.Phys. 116 (2006) 601-604 | 10.1143/PTP.116.601 | KU-TP 004 | hep-th | null | We give a simple proof of the no-ghost theorem in the critical bosonic string
theory by using a similarity transformation.
| [
{
"created": "Mon, 17 Jul 2006 12:44:46 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jul 2006 12:13:06 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Sep 2006 12:05:09 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Furuuchi",
"Kazuyuki",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We give a simple proof of the no-ghost theorem in the critical bosonic string theory by using a similarity transformation. |
hep-th/9511149 | Miguel Vazquez-Mozo | M.A.R. Osorio (Oviedo U.) and M.A. Vazquez-Mozo (IAS, Princeton) | Quantum Corrections in Two-Dimensional Non-Supersymmetric Heterotic
Strings | Minor changes. The discussion on the infrared divergences has been
expanded and typos have been corrected. Final version to be published in
Nucl. Phys. B. 40 pages. LaTeX, epsf. 4 Postscript figures in uuencoded file | Nucl.Phys. B470 (1996) 136-175 | 10.1016/0550-3213(96)00137-X | IASSNS-HEP-95/96, FTUOV-95/10 | hep-th | null | We study quantum corrections for a family of 24 non-supersymmetric heterotic
strings in two dimensions. We compute their genus two cosmological constant
using the hyperelliptic formalism and the genus one two-point functions for the
massless states. From here we get the mass corrections to the states in the
massless sector and discuss the role of the infrared divergences that appear in
the computation. We also study some tree-level aspects of these theories and
find that they are classified not only by the corresponding Niemeier lattice
but also by their {\it hidden} right-moving gauge symmetry.
| [
{
"created": "Wed, 22 Nov 1995 01:30:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 1996 00:06:11 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Osorio",
"M. A. R.",
"",
"Oviedo U."
],
[
"Vazquez-Mozo",
"M. A.",
"",
"IAS, Princeton"
]
] | We study quantum corrections for a family of 24 non-supersymmetric heterotic strings in two dimensions. We compute their genus two cosmological constant using the hyperelliptic formalism and the genus one two-point functions for the massless states. From here we get the mass corrections to the states in the massless sector and discuss the role of the infrared divergences that appear in the computation. We also study some tree-level aspects of these theories and find that they are classified not only by the corresponding Niemeier lattice but also by their {\it hidden} right-moving gauge symmetry. |
hep-th/9511132 | Evan Reidell | E. Abdalla (CERN, ICTP) and F. M. de Carvalho Filho (MIT) | Three-dimensional quantum electrodynamics as an effective interaction | 10 pages in Plain TeX | null | null | MIT-CTP-2488, IC/95/350 | hep-th | null | We obtain a Quantum Electrodynamics in 2+1 dimensions by applying a
Kaluza--Klein type method of dimensional reduction to Quantum Electrodynamics
in 3+1 dimensions rendering the model more realistic to application in
solid-state systems, invariant under translations in one direction. We show
that the model obtained leads to an effective action exhibiting an interesting
phase structure and that the generated Chern--Simons term survives only in the
broken phase.
| [
{
"created": "Fri, 17 Nov 1995 21:00:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abdalla",
"E.",
"",
"CERN, ICTP"
],
[
"Filho",
"F. M. de Carvalho",
"",
"MIT"
]
] | We obtain a Quantum Electrodynamics in 2+1 dimensions by applying a Kaluza--Klein type method of dimensional reduction to Quantum Electrodynamics in 3+1 dimensions rendering the model more realistic to application in solid-state systems, invariant under translations in one direction. We show that the model obtained leads to an effective action exhibiting an interesting phase structure and that the generated Chern--Simons term survives only in the broken phase. |
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