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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1501.02490 | Neil Russell | Neil Russell | Finsler-like structures from Lorentz-breaking classical particles | 18 pages, latex. To appear in Physical Review D | Physical Review D 91, 045008 (2015) | 10.1103/PhysRevD.91.045008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A method is presented for deducing classical point-particle Lagrange
functions corresponding to a class of quartic dispersion relations. Applying
this to particles violating Lorentz symmetry in the minimal Standard-Model
Extension leads to a variety of novel lagrangians in flat spacetime. Morphisms
in these classical systems are studied that echo invariance under field
redefinitions in the quantized theory. The Lagrange functions found offer new
possibilities for understanding Lorentz-breaking effects by exploring parallels
with Finsler-like geometries.
| [
{
"created": "Sun, 11 Jan 2015 20:02:20 GMT",
"version": "v1"
}
] | 2015-09-25 | [
[
"Russell",
"Neil",
""
]
] | A method is presented for deducing classical point-particle Lagrange functions corresponding to a class of quartic dispersion relations. Applying this to particles violating Lorentz symmetry in the minimal Standard-Model Extension leads to a variety of novel lagrangians in flat spacetime. Morphisms in these classical systems are studied that echo invariance under field redefinitions in the quantized theory. The Lagrange functions found offer new possibilities for understanding Lorentz-breaking effects by exploring parallels with Finsler-like geometries. |
hep-th/9809002 | Yosef Verbin | Y. Verbin | Cosmic Strings in the Abelian Higgs Model with Conformal Coupling to
Gravity | 22 pages, 10 figures; to appear in Phys. Rev. D | Phys.Rev. D59 (1999) 105015 | 10.1103/PhysRevD.59.105015 | null | hep-th gr-qc | null | Cosmic string solutions of the abelian Higgs model with conformal coupling to
gravity are shown to exist. The main characteristics of the solutions are
presented and the differences with respect to the minimally coupled case are
studied. An important difference is the absence of Bogomolnyi cosmic string
solutions for conformal coupling. Several new features of the abelian Higgs
cosmic strings of both types are discussed. The most interesting is perhaps a
relation between the angular deficit and the central magnetic field which is
bounded by a critical value.
| [
{
"created": "Tue, 1 Sep 1998 14:55:45 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 1999 15:59:21 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Verbin",
"Y.",
""
]
] | Cosmic string solutions of the abelian Higgs model with conformal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and the differences with respect to the minimally coupled case are studied. An important difference is the absence of Bogomolnyi cosmic string solutions for conformal coupling. Several new features of the abelian Higgs cosmic strings of both types are discussed. The most interesting is perhaps a relation between the angular deficit and the central magnetic field which is bounded by a critical value. |
hep-th/0610326 | Pavel Mnev | Pavel Mnev (PDMI Ras) | Notes on simplicial BF theory | null | null | null | null | hep-th math.AT math.QA | null | In this work we discuss the construction of "simplicial BF theory", the field
theory with finite-dimensional space of fields, associated to a triangulated
manifold, that is in a sense equivalent to topological BF theory on the
manifold (with infinite-dimensional space of fields). This is done in framework
of simplicial program - program of constructing discrete topological field
theories. We also discuss the relation of these constructions to homotopy
algebra.
| [
{
"created": "Tue, 31 Oct 2006 20:05:30 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2006 23:25:59 GMT",
"version": "v2"
},
{
"created": "Thu, 10 May 2007 18:53:17 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Mnev",
"Pavel",
"",
"PDMI Ras"
]
] | In this work we discuss the construction of "simplicial BF theory", the field theory with finite-dimensional space of fields, associated to a triangulated manifold, that is in a sense equivalent to topological BF theory on the manifold (with infinite-dimensional space of fields). This is done in framework of simplicial program - program of constructing discrete topological field theories. We also discuss the relation of these constructions to homotopy algebra. |
hep-th/9303178 | null | T.H. Hansson (Stockholm) and I. Zahed (Stony Brook) | Two-Dimensional QCD at Infinite N and Finite T | Latex 5p (4 figs. on request), USITP-93-5 | Phys.Lett. B309 (1993) 385-388 | 10.1016/0370-2693(93)90949-I | null | hep-th | null | We analyze two-dimensional large $N_c$ QCD at finite temperature and show
explicitly that the free energy has the correct $N_c$ dependence.
| [
{
"created": "Wed, 31 Mar 1993 18:09:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Hansson",
"T. H.",
"",
"Stockholm"
],
[
"Zahed",
"I.",
"",
"Stony Brook"
]
] | We analyze two-dimensional large $N_c$ QCD at finite temperature and show explicitly that the free energy has the correct $N_c$ dependence. |
1507.01623 | Hagen Triendl | Jan Louis, Hagen Triendl and Marco Zagermann | N=4 Supersymmetric AdS5 Vacua and their Moduli Spaces | 29 pages; v2: published version | JHEP 1510 (2015) 083 | 10.1007/JHEP10(2015)083 | CERN-PH-TH/2015-121; ITP-UH-13/15; ZMP-HH/15-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify the N=4 supersymmetric AdS5 backgrounds that arise as solutions
of five-dimensional N=4 gauged supergravity. We express our results in terms of
the allowed embedding tensor components and identify the structure of the
associated gauge groups. We show that the moduli space of these AdS vacua is of
the form SU(1,m)/(U(1)x SU(m)) and discuss our results regarding
holographically dual N=2 SCFTs and their conformal manifolds.
| [
{
"created": "Mon, 6 Jul 2015 20:57:37 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 12:13:45 GMT",
"version": "v2"
}
] | 2015-11-05 | [
[
"Louis",
"Jan",
""
],
[
"Triendl",
"Hagen",
""
],
[
"Zagermann",
"Marco",
""
]
] | We classify the N=4 supersymmetric AdS5 backgrounds that arise as solutions of five-dimensional N=4 gauged supergravity. We express our results in terms of the allowed embedding tensor components and identify the structure of the associated gauge groups. We show that the moduli space of these AdS vacua is of the form SU(1,m)/(U(1)x SU(m)) and discuss our results regarding holographically dual N=2 SCFTs and their conformal manifolds. |
1707.08578 | Horatiu Stefan Nastase | Daniel W.F. Alves, Carlos Hoyos, Horatiu Nastase and Jacob
Sonnenschein | Knotted solutions, from electromagnetism to fluid dynamics | 36 pages, 3 figures | null | 10.1142/S0217751X17502001 | null | hep-th math-ph math.MP nlin.PS physics.flu-dyn physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Knotted solutions to electromagnetism and fluid dynamics are investigated,
based on relations we find between the two subjects. We can write fluid
dynamics in electromagnetism language, but only on an initial surface, or for
linear perturbations, and we use this map to find knotted fluid solutions, as
well as new electromagnetic solutions. We find that knotted solutions of
Maxwell electromagnetism are also solutions of more general nonlinear theories,
like Born-Infeld, and including ones which contain quantum corrections from
couplings with other modes, like Euler-Heisenberg and string theory DBI. Null
configurations in electromagnetism can be described as a null pressureless
fluid, and from this map we can find null fluid knotted solutions. A type of
nonrelativistic reduction of the relativistic fluid equations is described,
which allows us to find also solutions of the (nonrelativistic) Euler's
equations.
| [
{
"created": "Wed, 26 Jul 2017 18:00:04 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Alves",
"Daniel W. F.",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | Knotted solutions to electromagnetism and fluid dynamics are investigated, based on relations we find between the two subjects. We can write fluid dynamics in electromagnetism language, but only on an initial surface, or for linear perturbations, and we use this map to find knotted fluid solutions, as well as new electromagnetic solutions. We find that knotted solutions of Maxwell electromagnetism are also solutions of more general nonlinear theories, like Born-Infeld, and including ones which contain quantum corrections from couplings with other modes, like Euler-Heisenberg and string theory DBI. Null configurations in electromagnetism can be described as a null pressureless fluid, and from this map we can find null fluid knotted solutions. A type of nonrelativistic reduction of the relativistic fluid equations is described, which allows us to find also solutions of the (nonrelativistic) Euler's equations. |
1601.03109 | Daniel Blaschke | Daniel N. Blaschke | Aspects of perturbative quantum field theory on non-commutative spaces | 19 pages, 4 figures; invited talk presented at the "Workshop on
Noncommutative Field Theory and Gravity" in Corfu, Greece, 21-27 September
2015, to appear in the proceedings of the Corfu Summer Institute 2015 "School
and Workshops on Elementary Particle Physics and Gravity" | PoS CORFU2015:104, 2016 | 10.22323/1.263.0104 | LA-UR-16-20147 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution to the proceedings of the Corfu Summer Institute 2015, I
give an overview over quantum field theories on non-commutative Moyal space and
renormalization. In particular, I review the new features and challenges one
faces when constructing various scalar, fermionic and gauge field theories on
Moyal space, and especially how the UV/IR mixing problem was solved for certain
models. Finally, I outline more recent progress in constructing a
renormalizable gauge field model on non-commutative space, and how one might
attempt to prove renormalizability of such a model using a generalized
renormalization scheme adapted to the non-commutative (and hence non-local)
setting.
| [
{
"created": "Wed, 13 Jan 2016 01:06:46 GMT",
"version": "v1"
}
] | 2018-09-06 | [
[
"Blaschke",
"Daniel N.",
""
]
] | In this contribution to the proceedings of the Corfu Summer Institute 2015, I give an overview over quantum field theories on non-commutative Moyal space and renormalization. In particular, I review the new features and challenges one faces when constructing various scalar, fermionic and gauge field theories on Moyal space, and especially how the UV/IR mixing problem was solved for certain models. Finally, I outline more recent progress in constructing a renormalizable gauge field model on non-commutative space, and how one might attempt to prove renormalizability of such a model using a generalized renormalization scheme adapted to the non-commutative (and hence non-local) setting. |
hep-th/0501064 | Grigorii Pivovarov | G. B. Pivovarov | Zero Modes in Light-Front $\phi^4_{1+1}$ | 3 pp | null | null | null | hep-th | null | Within a scheme of light front quantization of $\phi^4_{1+1}$, it is
demonstrated that dynamics of zero modes implies phase transition, and that the
critical value of the coupling coincides with the one of the equal time
quantization.
| [
{
"created": "Mon, 10 Jan 2005 12:04:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pivovarov",
"G. B.",
""
]
] | Within a scheme of light front quantization of $\phi^4_{1+1}$, it is demonstrated that dynamics of zero modes implies phase transition, and that the critical value of the coupling coincides with the one of the equal time quantization. |
hep-th/0403135 | Silvio Paolo Sorella | R.F. Sobreiro, S.P. Sorella, D. Dudal, H. Verschelde | Gribov horizon in the presence of dynamical mass generation in Euclidean
Yang-Mills theories in the Landau gauge | 10 pages, final version to appear in Phys. Lett. B | Phys.Lett. B590 (2004) 265-272 | 10.1016/j.physletb.2004.03.084 | null | hep-th | null | The infrared behavior of the gluon and ghost propagators is analyzed in
Yang-Mills theories in the presence of dynamical mass generation in the Landau
gauge. By restricting the domain of integration in the path-integral to the
Gribov region $\Omega $, the gauge propagator is found to be suppressed in the
infrared, while the ghost propagator is enhanced.
| [
{
"created": "Fri, 12 Mar 2004 13:04:50 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 2004 13:47:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Dudal",
"D.",
""
],
[
"Verschelde",
"H.",
""
]
] | The infrared behavior of the gluon and ghost propagators is analyzed in Yang-Mills theories in the presence of dynamical mass generation in the Landau gauge. By restricting the domain of integration in the path-integral to the Gribov region $\Omega $, the gauge propagator is found to be suppressed in the infrared, while the ghost propagator is enhanced. |
2110.14603 | Marco Stefano Bianchi | Marco S. Bianchi | Three twist-two, two spins, two loops | null | null | 10.1103/PhysRevD.105.086007 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | I consider three-point functions of twist-two operators in N=4 SYM, two of
which endowed with spin. I supply perturbative data up to twelve units of spins
and second perturbative order at weak coupling.
| [
{
"created": "Wed, 27 Oct 2021 17:24:29 GMT",
"version": "v1"
}
] | 2023-06-13 | [
[
"Bianchi",
"Marco S.",
""
]
] | I consider three-point functions of twist-two operators in N=4 SYM, two of which endowed with spin. I supply perturbative data up to twelve units of spins and second perturbative order at weak coupling. |
hep-th/0104136 | Michael Gutperle | Michael Gutperle (Harvard) and Andrew Strominger (Harvard) | Fluxbranes in String Theory | 29 pages, harvmac(b), no figures | JHEP 0106:035,2001 | 10.1088/1126-6708/2001/06/035 | HUTP-01/A018 | hep-th | null | A flux p-brane in D dimensions has (p+1)-dimensional Poincare invariance and
a nonzero rank (D-p-1) field strength tangent to the transverse dimensions. We
find a family of such solutions in string theory and M-theory and investigate
their properties.
| [
{
"created": "Mon, 16 Apr 2001 19:28:44 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gutperle",
"Michael",
"",
"Harvard"
],
[
"Strominger",
"Andrew",
"",
"Harvard"
]
] | A flux p-brane in D dimensions has (p+1)-dimensional Poincare invariance and a nonzero rank (D-p-1) field strength tangent to the transverse dimensions. We find a family of such solutions in string theory and M-theory and investigate their properties. |
hep-th/9805011 | Chi-Sing Lam | C.S. Lam (McGill University) | Time-Ordered Products and Exponentials | 7 pages with 2 postscript figures composed in Latex. Contribution to
the Second Jagna International Workshop on Mathematical Methods of Quantum
Physics, January 4-8, 1998, at Jagna, Bohol, Philippines, in honour of Prof.
Hiroshi Ezawa on the occasion of his 65th birthday | null | null | null | hep-th | null | I discuss a formula decomposing the integral of time-ordered products of
operators into sums of products of integrals of time-ordered commutators. The
resulting factorization enables summation of an infinite series to be carried
out to yield an explicit formula for the time-ordered exponentials. The
Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained
previously are both special cases of this result.
| [
{
"created": "Sun, 3 May 1998 17:21:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lam",
"C. S.",
"",
"McGill University"
]
] | I discuss a formula decomposing the integral of time-ordered products of operators into sums of products of integrals of time-ordered commutators. The resulting factorization enables summation of an infinite series to be carried out to yield an explicit formula for the time-ordered exponentials. The Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained previously are both special cases of this result. |
hep-th/9707096 | Hongsu Kim | Hongsu Kim, Sung Ku Kim (Ewha Women's Univ., Korea) | Classical and Quantum Instantons in Yang-Mills Theory in the Background
of de Sitter Spacetime | 39 pages, Revtex | Nuovo Cim. B114 (1999) 207-233 | null | null | hep-th | null | Instantons and their quantisation in pure Yang-Mills theory formulated in the
background of de Sitter spacetime represented by spatially-closed ($k = 1$)
Friedmann-Robertson-Walker metric are discussed. As for the classical treatment
of the instanton physics, first, explicit instanton solutions are found and
next, quantities like Pontryagin index and the semiclassical approximation to
the inter-vacua tunnelling amplitude are evaluated. The Atiyah-Patodi-Singer
index theorem is checked as well by constructing explicitly the normalizable
fermion zero modes in this de Sitter spacetime instanton background. Finally,
following the kink quantisation scheme originally proposed by Dashen,
Hasslacher and Neveu, the quantisation of our instanton is performed. Of
particular interest is the estimate of the lowest quantum correction to the
inter-vacua tunnelling amplitude arising from the quantisation of the
instanton. It turns out that the inter-vacua tunnelling amplitude gets enhanced
upon quantising the instanton.
| [
{
"created": "Thu, 10 Jul 1997 10:43:15 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 1998 05:03:28 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kim",
"Hongsu",
"",
"Ewha Women's Univ., Korea"
],
[
"Kim",
"Sung Ku",
"",
"Ewha Women's Univ., Korea"
]
] | Instantons and their quantisation in pure Yang-Mills theory formulated in the background of de Sitter spacetime represented by spatially-closed ($k = 1$) Friedmann-Robertson-Walker metric are discussed. As for the classical treatment of the instanton physics, first, explicit instanton solutions are found and next, quantities like Pontryagin index and the semiclassical approximation to the inter-vacua tunnelling amplitude are evaluated. The Atiyah-Patodi-Singer index theorem is checked as well by constructing explicitly the normalizable fermion zero modes in this de Sitter spacetime instanton background. Finally, following the kink quantisation scheme originally proposed by Dashen, Hasslacher and Neveu, the quantisation of our instanton is performed. Of particular interest is the estimate of the lowest quantum correction to the inter-vacua tunnelling amplitude arising from the quantisation of the instanton. It turns out that the inter-vacua tunnelling amplitude gets enhanced upon quantising the instanton. |
1709.08532 | Mojtaba Taslimi Tehrani | Mojtaba Taslimi Tehrani | Self-consistency of Conformally Coupled ABJM Theory at the Quantum Level | null | JHEP 11/2017 (2017)153 | 10.1007/JHEP11(2017)153 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the $\mathcal{N}=6$ superconformal Chern-Simons matter field theory
(the ABJM theory) conformally coupled to a Lorentzian, curved background
spacetime. To support rigid supersymmetry, such backgrounds have to admit
twistor spinors. At the classical level, the symmetry of the theory can be
described by a conformal symmetry superalgebra. We show that the full
$\mathcal{N}=6$ superconformal algebra persists at the quantum level using the
BV-BRST method.
| [
{
"created": "Mon, 25 Sep 2017 15:00:12 GMT",
"version": "v1"
}
] | 2017-11-27 | [
[
"Tehrani",
"Mojtaba Taslimi",
""
]
] | We study the $\mathcal{N}=6$ superconformal Chern-Simons matter field theory (the ABJM theory) conformally coupled to a Lorentzian, curved background spacetime. To support rigid supersymmetry, such backgrounds have to admit twistor spinors. At the classical level, the symmetry of the theory can be described by a conformal symmetry superalgebra. We show that the full $\mathcal{N}=6$ superconformal algebra persists at the quantum level using the BV-BRST method. |
hep-th/0212128 | M. Tierz | Miguel Tierz | Soft matrix models and Chern-Simons partition functions | 13 pages, 3 figures | Mod.Phys.Lett. A19 (2004) 1365-1378 | 10.1142/S0217732304014100 | null | hep-th math-ph math.MP | null | We study the properties of matrix models with soft confining potentials.
Their precise mathematical characterization is that their weight function is
not determined by its moments. We mainly rely on simple considerations based on
orthogonal polynomials and the moment problem. In addition, some of these
models are equivalent, by a simple mapping, to matrix models that appear in
Chern-Simons theory. The models can be solved with q deformed orthogonal
polynomials (Stieltjes-Wigert polynomials), and the deformation parameter turns
out to be the usual $q$ parameter in Chern-Simons theory. In this way, we give
a matrix model computation of the Chern-Simons partition function on $S^{3}$
and show that there are infinitely many matrix models with this partition
function.
| [
{
"created": "Wed, 11 Dec 2002 14:55:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2004 22:39:59 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Tierz",
"Miguel",
""
]
] | We study the properties of matrix models with soft confining potentials. Their precise mathematical characterization is that their weight function is not determined by its moments. We mainly rely on simple considerations based on orthogonal polynomials and the moment problem. In addition, some of these models are equivalent, by a simple mapping, to matrix models that appear in Chern-Simons theory. The models can be solved with q deformed orthogonal polynomials (Stieltjes-Wigert polynomials), and the deformation parameter turns out to be the usual $q$ parameter in Chern-Simons theory. In this way, we give a matrix model computation of the Chern-Simons partition function on $S^{3}$ and show that there are infinitely many matrix models with this partition function. |
hep-th/9607172 | Binetruy | P. Binetruy and E.A. Dudas | Gaugino condensation and the anomalous $U(1)$ | 13 pages | Phys.Lett. B389 (1996) 503-509 | 10.1016/S0370-2693(96)01305-6 | LPTHE-ORSAY 96/60, Saclay T96/075 | hep-th | null | We study gaugino condensation in presence of an anomalous $U(1)$ gauge group
and find that global supersymmetry is dynamically broken. An example of
particular interest is provided by effective string models with 4-dimensional
Green-Schwarz anomaly cancellation mechanism. The structure of the hidden
sector is constrained by the anomaly cancellation conditions and the scale of
gaugino condensation is shifted compared with the usual case. We explicitly
compute the resulting soft supersymmetry breaking terms.
| [
{
"created": "Mon, 22 Jul 1996 17:49:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Binetruy",
"P.",
""
],
[
"Dudas",
"E. A.",
""
]
] | We study gaugino condensation in presence of an anomalous $U(1)$ gauge group and find that global supersymmetry is dynamically broken. An example of particular interest is provided by effective string models with 4-dimensional Green-Schwarz anomaly cancellation mechanism. The structure of the hidden sector is constrained by the anomaly cancellation conditions and the scale of gaugino condensation is shifted compared with the usual case. We explicitly compute the resulting soft supersymmetry breaking terms. |
hep-th/0106073 | Matthias Arnsdorf | Matthias Arnsdorf, Lee Smolin | The Maldacena Conjecture and Rehren Duality | 14 pages, 1 figure | null | null | null | hep-th | null | We analyse the implications of the fact that there are two claims for a dual
to \N=4 superconformal SU(N) Yang-Mills theory (SCYM), the Maldacena conjecture
and the theorem of Rehren. While the Maldacena dual is conjectured to be a
non-perturbative string theory for large string coupling $g_s$ and small $N$,
the Rehren dual is an ordinary quantum field theory on $AdS_5$ for all values
of the parameters. We argue that as a result, if we accept the Maldacena
conjecture, one of the following statements must be true: 1) SCYM does not
satisfy the axioms of algebraic quantum field theory for finite $N$ because its
observables do not obey the causal structure of conformal Minkowski space;. 2)
String theory on $AdS_5 \times S^5$ is not a quantum theory of gravity in 10
dimensions because it is dual to an ordinary quantum field theory on $AdS_5$
whose causal structure remains fixed for all values of its couplings; or 3)
there is no consistent quantisation of string theory on $AdS_5 \times S^5$ for
finite string scale $l_s$ and $g_s$.
In evaluating the evidence for each of these conclusions we point out that
many of the tests of the Maldacena conjecture can be explained by a weaker form
of an $AdS/CFT$ correspondence.
| [
{
"created": "Fri, 8 Jun 2001 14:39:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Arnsdorf",
"Matthias",
""
],
[
"Smolin",
"Lee",
""
]
] | We analyse the implications of the fact that there are two claims for a dual to \N=4 superconformal SU(N) Yang-Mills theory (SCYM), the Maldacena conjecture and the theorem of Rehren. While the Maldacena dual is conjectured to be a non-perturbative string theory for large string coupling $g_s$ and small $N$, the Rehren dual is an ordinary quantum field theory on $AdS_5$ for all values of the parameters. We argue that as a result, if we accept the Maldacena conjecture, one of the following statements must be true: 1) SCYM does not satisfy the axioms of algebraic quantum field theory for finite $N$ because its observables do not obey the causal structure of conformal Minkowski space;. 2) String theory on $AdS_5 \times S^5$ is not a quantum theory of gravity in 10 dimensions because it is dual to an ordinary quantum field theory on $AdS_5$ whose causal structure remains fixed for all values of its couplings; or 3) there is no consistent quantisation of string theory on $AdS_5 \times S^5$ for finite string scale $l_s$ and $g_s$. In evaluating the evidence for each of these conclusions we point out that many of the tests of the Maldacena conjecture can be explained by a weaker form of an $AdS/CFT$ correspondence. |
hep-th/0412049 | M. Hossein Dehghani | M. H. Dehghani and N. Farhangkhah | Charged Rotating Dilaton Black Strings | 14 pages, no figure, references added, the version to appear in Phys.
Rev. D | Phys.Rev. D71 (2005) 044008 | 10.1103/PhysRevD.71.044008 | null | hep-th | null | In this paper we, first, present a class of charged rotating solutions in
four-dimensional Einstein-Maxwell-dilaton gravity with zero and Liouville-type
potentials. We find that these solutions can present a black hole/string with
two regular horizons, an extreme black hole or a naked singularity provided the
parameters of the solutions are chosen suitable. We also compute the conserved
and thermodynamic quantities, and show that they satisfy the first law of
thermodynamics. Second, we obtain the ($n+1$%)-dimensional rotating solutions
in Einstein-dilaton gravity with Liouville-type potential. We find that these
solutions can present black branes, naked singularities or spacetimes with
cosmological horizon if one chooses the parameters of the solutions correctly.
Again, we find that the thermodynamic quantities of these solutions satisfy the
first law of thermodynamics.
| [
{
"created": "Mon, 6 Dec 2004 12:45:56 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2005 04:56:55 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dehghani",
"M. H.",
""
],
[
"Farhangkhah",
"N.",
""
]
] | In this paper we, first, present a class of charged rotating solutions in four-dimensional Einstein-Maxwell-dilaton gravity with zero and Liouville-type potentials. We find that these solutions can present a black hole/string with two regular horizons, an extreme black hole or a naked singularity provided the parameters of the solutions are chosen suitable. We also compute the conserved and thermodynamic quantities, and show that they satisfy the first law of thermodynamics. Second, we obtain the ($n+1$%)-dimensional rotating solutions in Einstein-dilaton gravity with Liouville-type potential. We find that these solutions can present black branes, naked singularities or spacetimes with cosmological horizon if one chooses the parameters of the solutions correctly. Again, we find that the thermodynamic quantities of these solutions satisfy the first law of thermodynamics. |
1505.00472 | Willy Fischler | Tom Banks and Willy Fischler | CP Violation and Baryogenesis in the Presence of Black Holes | 11 pages, references added | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper[1] Kundu and one of the present authors showed that there
were transient but observable CP violating effects in the decay of classical
currents on the horizon of a black hole, if the Lagrangian of the Maxwell field
contained a CP violating angle {\theta}. In this paper we demonstrate that a
similar effect can be seen in the quantum mechanics of QED: a non-trivial Berry
phase in the QED wave function is produced by in-falling electric charges. We
also investigate whether CP violation, of this or any other type, might be used
to produce the baryon asymmetry of the universe, in models where primordial
black hole decay contributes to the matter content of the present universe.
This can happen both in a variety of hybrid inflation models, and in the
Holographic Space-time (HST) model of inflation[2].
| [
{
"created": "Sun, 3 May 2015 20:49:36 GMT",
"version": "v1"
},
{
"created": "Sat, 16 May 2015 13:43:22 GMT",
"version": "v2"
}
] | 2015-05-19 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] | In a recent paper[1] Kundu and one of the present authors showed that there were transient but observable CP violating effects in the decay of classical currents on the horizon of a black hole, if the Lagrangian of the Maxwell field contained a CP violating angle {\theta}. In this paper we demonstrate that a similar effect can be seen in the quantum mechanics of QED: a non-trivial Berry phase in the QED wave function is produced by in-falling electric charges. We also investigate whether CP violation, of this or any other type, might be used to produce the baryon asymmetry of the universe, in models where primordial black hole decay contributes to the matter content of the present universe. This can happen both in a variety of hybrid inflation models, and in the Holographic Space-time (HST) model of inflation[2]. |
1308.2706 | Aleksandr N. Pinzul | A. Mamiya and A. Pinzul | Heat kernel for flat generalized Laplacians with anisotropic scaling | 14 pages, 1 figure | null | 10.1063/1.4882157 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the closed analytic form of the solution of heat kernel equation
for the anisotropic generalizations of flat Laplacian. We consider a UV as well
as UV/IR interpolating generalizations. In all cases, the result can be
expressed in terms of Fox-Wright psi-functions. We perform different
consistency checks, analytically reproducing some of the previous numerical or
qualitative results, such as spectral dimension flow. Our study should be
considered as a first step towards the construction of a heat kernel for curved
Ho\v{r}ava-Lifshitz geometries, which is an essential ingredient in the
spectral action approach to the construction of the Ho\v{r}ava-Lifshitz
gravity.
| [
{
"created": "Mon, 12 Aug 2013 21:53:58 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Mamiya",
"A.",
""
],
[
"Pinzul",
"A.",
""
]
] | We calculate the closed analytic form of the solution of heat kernel equation for the anisotropic generalizations of flat Laplacian. We consider a UV as well as UV/IR interpolating generalizations. In all cases, the result can be expressed in terms of Fox-Wright psi-functions. We perform different consistency checks, analytically reproducing some of the previous numerical or qualitative results, such as spectral dimension flow. Our study should be considered as a first step towards the construction of a heat kernel for curved Ho\v{r}ava-Lifshitz geometries, which is an essential ingredient in the spectral action approach to the construction of the Ho\v{r}ava-Lifshitz gravity. |
1107.5308 | Gianluca Calcagni | Michele Arzano, Gianluca Calcagni, Daniele Oriti, Marco Scalisi | Fractional and noncommutative spacetimes | 15 pages. v2: typos corrected | Phys. Rev. D 84, 125002 (2011) | 10.1103/PhysRevD.84.125002 | AEI-2011-089 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a mapping between fractional and noncommutative spacetimes in
configuration space. Depending on the scale at which the relation is
considered, there arise two possibilities. For a fractional spacetime with
log-oscillatory measure, the effective measure near the fundamental scale
determining the log-period coincides with the non-rotation-invariant but
cyclicity-preserving measure of \kappa-Minkowski. At scales larger than the
log-period, the fractional measure is averaged and becomes a power-law with
real exponent. This can be also regarded as the cyclicity-inducing measure in a
noncommutative spacetime defined by a certain nonlinear algebra of the
coordinates, which interpolates between \kappa-Minkowski and canonical
spacetime. These results are based upon a braiding formula valid for any
nonlinear algebra which can be mapped onto the Heisenberg algebra.
| [
{
"created": "Tue, 26 Jul 2011 20:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2011 15:25:35 GMT",
"version": "v2"
}
] | 2011-12-05 | [
[
"Arzano",
"Michele",
""
],
[
"Calcagni",
"Gianluca",
""
],
[
"Oriti",
"Daniele",
""
],
[
"Scalisi",
"Marco",
""
]
] | We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For a fractional spacetime with log-oscillatory measure, the effective measure near the fundamental scale determining the log-period coincides with the non-rotation-invariant but cyclicity-preserving measure of \kappa-Minkowski. At scales larger than the log-period, the fractional measure is averaged and becomes a power-law with real exponent. This can be also regarded as the cyclicity-inducing measure in a noncommutative spacetime defined by a certain nonlinear algebra of the coordinates, which interpolates between \kappa-Minkowski and canonical spacetime. These results are based upon a braiding formula valid for any nonlinear algebra which can be mapped onto the Heisenberg algebra. |
1010.5509 | Keshav Dasgupta | Fang Chen, Keshav Dasgupta, Paul Franche, Radu Tatar | Toward the Gravity Dual of Heterotic Small Instantons | 47 pages, 3 eps figures, LaTex, JHEP3 file; v2: Another consistency
check added, typos corrected and a reference added; v3: Text expanded a bit,
minor typos corrected and a few references updated. Final version to appear
in Phys. Rev. D | Phys.Rev.D83:046006,2011 | 10.1103/PhysRevD.83.046006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The question of what happens when the heterotic SO(32) instanton becomes
small was answered sometime back by Witten. The heterotic theory develops an
enhanced Sp(2k) gauge symmetry for k small instantons, besides the allowed
SO(32) gauge symmetry. An interesting question now is to ask what happens when
we take the large k limit. In this paper we argue that in some special cases,
where Gauss' law allows the large k limit, the dynamics of the large k small
instantons can be captured by a dual gravitational description. For the cases
that we elaborate in this paper, the gravity duals are non-Kahler manifolds
although in general they could be non-geometric. These small instantons are
heterotic five-branes and the duality allows us to study the strongly coupled
field theories on these five-branes. We review and elaborate on some of the
recent observations pointing towards this duality, and argue that in certain
cases the gauge/gravity duality may be understood as small instanton
transitions under which the instantons smoothen out and consequently lose the
Sp(2k) gauge symmetry. This may explain how branes disappear on the dual side
and are replaced by fluxes. We analyse the torsion classes before and after the
transitions, and discuss briefly how the ADHM sigma model and related vector
bundles could be studied for these scenarios.
| [
{
"created": "Tue, 26 Oct 2010 20:10:21 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2010 20:11:48 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jan 2011 00:31:21 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Chen",
"Fang",
""
],
[
"Dasgupta",
"Keshav",
""
],
[
"Franche",
"Paul",
""
],
[
"Tatar",
"Radu",
""
]
] | The question of what happens when the heterotic SO(32) instanton becomes small was answered sometime back by Witten. The heterotic theory develops an enhanced Sp(2k) gauge symmetry for k small instantons, besides the allowed SO(32) gauge symmetry. An interesting question now is to ask what happens when we take the large k limit. In this paper we argue that in some special cases, where Gauss' law allows the large k limit, the dynamics of the large k small instantons can be captured by a dual gravitational description. For the cases that we elaborate in this paper, the gravity duals are non-Kahler manifolds although in general they could be non-geometric. These small instantons are heterotic five-branes and the duality allows us to study the strongly coupled field theories on these five-branes. We review and elaborate on some of the recent observations pointing towards this duality, and argue that in certain cases the gauge/gravity duality may be understood as small instanton transitions under which the instantons smoothen out and consequently lose the Sp(2k) gauge symmetry. This may explain how branes disappear on the dual side and are replaced by fluxes. We analyse the torsion classes before and after the transitions, and discuss briefly how the ADHM sigma model and related vector bundles could be studied for these scenarios. |
1204.0542 | Robert Wimmer | Henning Samtleben, Ergin Sezgin, Robert Wimmer, Linus Wulff | New superconformal models in six dimensions: Gauge group and
representation structure | 18 pages, 12pt | null | null | MIFPA-12-13, YITP-SB-12-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent progress in the construction and classification of
six-dimensional (1,0) superconformal models with non-abelian tensor fields.
Here we solve the generalized Jacobi identities which are required for
consistency of the non-abelian vector/tensor gauge system and we present a
large class of explicit examples.
| [
{
"created": "Mon, 2 Apr 2012 21:32:55 GMT",
"version": "v1"
}
] | 2012-04-04 | [
[
"Samtleben",
"Henning",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Wimmer",
"Robert",
""
],
[
"Wulff",
"Linus",
""
]
] | We review recent progress in the construction and classification of six-dimensional (1,0) superconformal models with non-abelian tensor fields. Here we solve the generalized Jacobi identities which are required for consistency of the non-abelian vector/tensor gauge system and we present a large class of explicit examples. |
hep-th/9910269 | Irina Aref'eva | I.Ya.Aref'eva | High Energy Scattering in the Brane-World and Black Hole Production | 11 pages, 7 figures | Part.Nucl. 31 (2000) 169-180 | null | SMI-25-99 | hep-th | null | Black hole production in the collision of ultra-relativistic particles in the
brane-world approach is considered. In particular, stability of the brane under
collision with ultra-relativistic particles is discussed. As a toy model we
consider the 3 dimensional version of the Randall and Sundrum solution and show
that stability of the brane depends on a choice of continuation of the solution
across the horizon. In the unstable case black holes can be produced in the
collision of a particle with the brane.
| [
{
"created": "Mon, 1 Nov 1999 23:50:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aref'eva",
"I. Ya.",
""
]
] | Black hole production in the collision of ultra-relativistic particles in the brane-world approach is considered. In particular, stability of the brane under collision with ultra-relativistic particles is discussed. As a toy model we consider the 3 dimensional version of the Randall and Sundrum solution and show that stability of the brane depends on a choice of continuation of the solution across the horizon. In the unstable case black holes can be produced in the collision of a particle with the brane. |
hep-th/9712173 | Sebastian Jaimungal | C. R. Gattringer, S. Jaimungal and G. W. Semenoff | Topology and Duality in Abelian Lattice Theories | 11 pages, LateX, 1 epsf figure; minor typos corrected and references
updated | Phys.Lett.B425:282-290,1998 | 10.1016/S0370-2693(98)00254-8 | null | hep-th hep-lat | null | We show how to obtain the dual of any lattice model with inhomogeneous local
interactions based on an arbitrary Abelian group in any dimension and on
lattices with arbitrary topology. It is shown that in general the dual theory
contains disorder loops on the generators of the cohomology group of a
particular dimension. An explicit construction for altering the statistical sum
to obtain a self-dual theory, when these obstructions exist, is also given. We
discuss some applications of these results, particularly the existence of
non-trivial self-dual 2-dimensional Z_N theories on the torus. In addition we
explicitly construct the n-point functions of plaquette variables for the U(1)
gauge theory on the 2-dimensional g-tori.
| [
{
"created": "Thu, 18 Dec 1997 01:10:55 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 1998 07:23:35 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gattringer",
"C. R.",
""
],
[
"Jaimungal",
"S.",
""
],
[
"Semenoff",
"G. W.",
""
]
] | We show how to obtain the dual of any lattice model with inhomogeneous local interactions based on an arbitrary Abelian group in any dimension and on lattices with arbitrary topology. It is shown that in general the dual theory contains disorder loops on the generators of the cohomology group of a particular dimension. An explicit construction for altering the statistical sum to obtain a self-dual theory, when these obstructions exist, is also given. We discuss some applications of these results, particularly the existence of non-trivial self-dual 2-dimensional Z_N theories on the torus. In addition we explicitly construct the n-point functions of plaquette variables for the U(1) gauge theory on the 2-dimensional g-tori. |
hep-th/0411140 | Cliff Burgess | C.P. Burgess | Towards a Natural Theory of Dark Energy: Supersymmetric Large Extra
Dimensions | 33 pages | AIP Conf.Proc.743:417-449,2005 | 10.1063/1.1848343 | null | hep-th | null | The first part of this article summarizes the evidence for Dark Energy and
Dark Matter, as well as the naturalness issues which plague current theories of
Dark Energy. The main point of this part is to argue why these naturalness
issues should provide the central theoretical guidance for the search for a
successful theory. The second part of the article describes the present status
of what I regard as being the best mechanism yet proposed for addressing this
issue: Six-dimensional Supergravity with submillimetre-sized Extra Dimensions
(Supersymmetric Large Extra Dimensions, or SLED for short). Besides summarizing
the SLED proposal itself, this section also describes the tests which this
model has passed, the main criticisms which have been raised, and the remaining
challenges which remain to be checked. The bottom line is that the proposal
survives the tests which have been completed to date, and predicts several
distinctive experimental signatures for cosmology, tests of gravity and for
accelerator-based particle physics.
| [
{
"created": "Mon, 15 Nov 2004 13:51:12 GMT",
"version": "v1"
}
] | 2009-07-10 | [
[
"Burgess",
"C. P.",
""
]
] | The first part of this article summarizes the evidence for Dark Energy and Dark Matter, as well as the naturalness issues which plague current theories of Dark Energy. The main point of this part is to argue why these naturalness issues should provide the central theoretical guidance for the search for a successful theory. The second part of the article describes the present status of what I regard as being the best mechanism yet proposed for addressing this issue: Six-dimensional Supergravity with submillimetre-sized Extra Dimensions (Supersymmetric Large Extra Dimensions, or SLED for short). Besides summarizing the SLED proposal itself, this section also describes the tests which this model has passed, the main criticisms which have been raised, and the remaining challenges which remain to be checked. The bottom line is that the proposal survives the tests which have been completed to date, and predicts several distinctive experimental signatures for cosmology, tests of gravity and for accelerator-based particle physics. |
1912.04283 | Marco Scalisi | Marco Scalisi | Inflation, Higher Spins and the Swampland | 12 pages, 2 figures. v2: minor clarifications and refs added. PLB
version | Physics Letters B 808 (2020) 135683 | 10.1016/j.physletb.2020.135683 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the implications on inflation of an infinite tower of higher-spin
states with masses falling exponentially at large field distances, as dictated
by the Swampland Distance Conjecture. We show that the Higuchi lower bound on
the mass of the tower automatically translates into an upper bound on the
inflaton excursion. Strikingly, the mere existence of all spins in the tower
forbids any scalar displacement whatsoever, at arbitrarily small Hubble scales,
and it turns out therefore incompatible with inflation. A certain field
excursion is allowed only if the tower has a cut-off in spin. Finally, we show
that this issue is circumvented in the case of a tower of string excitations
precisely because of the existence of such a cut-off, which decreases fast
enough in field space.
| [
{
"created": "Mon, 9 Dec 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 12:38:07 GMT",
"version": "v2"
}
] | 2020-08-17 | [
[
"Scalisi",
"Marco",
""
]
] | We study the implications on inflation of an infinite tower of higher-spin states with masses falling exponentially at large field distances, as dictated by the Swampland Distance Conjecture. We show that the Higuchi lower bound on the mass of the tower automatically translates into an upper bound on the inflaton excursion. Strikingly, the mere existence of all spins in the tower forbids any scalar displacement whatsoever, at arbitrarily small Hubble scales, and it turns out therefore incompatible with inflation. A certain field excursion is allowed only if the tower has a cut-off in spin. Finally, we show that this issue is circumvented in the case of a tower of string excitations precisely because of the existence of such a cut-off, which decreases fast enough in field space. |
1107.0973 | Lotte Hollands | Lotte Hollands, Christoph A. Keller, Jaewon Song | Towards a 4d/2d correspondence for Sicilian quivers | 39 pages, 11 figures | null | 10.1007/JHEP10(2011)100 | CALT-68-2843 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the 4d/2d AGT correspondence between four-dimensional instanton
counting and two-dimensional conformal blocks for generalized SU(2) quiver
gauge theories coming from punctured Gaiotto curves of arbitrary genus. We
propose a conformal block description that corresponds to the elementary SU(2)
trifundamental half-hypermultiplet, and check it against Sp(1)-SO(4) instanton
counting.
| [
{
"created": "Tue, 5 Jul 2011 20:00:04 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Hollands",
"Lotte",
""
],
[
"Keller",
"Christoph A.",
""
],
[
"Song",
"Jaewon",
""
]
] | We study the 4d/2d AGT correspondence between four-dimensional instanton counting and two-dimensional conformal blocks for generalized SU(2) quiver gauge theories coming from punctured Gaiotto curves of arbitrary genus. We propose a conformal block description that corresponds to the elementary SU(2) trifundamental half-hypermultiplet, and check it against Sp(1)-SO(4) instanton counting. |
hep-th/0207148 | Alessandro Torrielli | Alessandro Torrielli | Cutting rules and perturbative unitarity of noncommutative electric-type
field theories from string theory | 18 pages, no figures, version accepted for publication in Phys. Rev.
D | Phys.Rev. D67 (2003) 086010 | 10.1103/PhysRevD.67.086010 | DFPD 02/TH 18 | hep-th | null | We discuss the breakdown of perturbative unitarity of noncommutative quantum
field theories in electric-type background in the light of string theory. We
consider the analytic structure of string loop two-point functions using a
suitable off-shell continuation and then study the zero slope limit of Seiberg
and Witten. In this way we pick up how the unphysical tachyonic branch cut
appears in the noncommutative field theory. We briefly discuss discontinuities
and cutting rules for the full string theory amplitude and relate them to the
noncommutative field theoretical results, and also discuss the insight one
gains into the magnetic case too.
| [
{
"created": "Tue, 16 Jul 2002 07:29:49 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2002 10:30:41 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jul 2002 12:14:26 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Oct 2002 15:25:43 GMT",
"version": "v4"
},
{
"created": "Mon, 18 Nov 2002 14:46:15 GMT",
"version": "v5"
},
{
"created": "Mon, 13 Jan 2003 17:47:16 GMT",
"version": "v6"
},
{
"created": "Wed, 9 Apr 2003 16:19:34 GMT",
"version": "v7"
}
] | 2009-11-07 | [
[
"Torrielli",
"Alessandro",
""
]
] | We discuss the breakdown of perturbative unitarity of noncommutative quantum field theories in electric-type background in the light of string theory. We consider the analytic structure of string loop two-point functions using a suitable off-shell continuation and then study the zero slope limit of Seiberg and Witten. In this way we pick up how the unphysical tachyonic branch cut appears in the noncommutative field theory. We briefly discuss discontinuities and cutting rules for the full string theory amplitude and relate them to the noncommutative field theoretical results, and also discuss the insight one gains into the magnetic case too. |
hep-th/0602274 | Yoshinori Matsuo | Masafumi Fukuma, Hirotaka Irie and Yoshinori Matsuo | Notes on the algebraic curves in (p,q) minimal string theory | 61 pages, 1 figure, section 2.5 and Appendix B added, references
added, final version to appear in JHEP | JHEP0609:075,2006 | 10.1088/1126-6708/2006/09/075 | KUNS-2010 | hep-th | null | Loop amplitudes in (p,q) minimal string theory are studied in terms of the
continuum string field theory based on the free fermion realization of the KP
hierarchy. We derive the Schwinger-Dyson equations for FZZT disk amplitudes
directly from the W_{1+\infty} constraints in the string field formulation and
give explicitly the algebraic curves of disk amplitudes for general
backgrounds. We further give annulus amplitudes of FZZT-FZZT, FZZT-ZZ and ZZ-ZZ
branes, generalizing our previous D-instanton calculus from the minimal unitary
series (p,p+1) to general (p,q) series. We also give a detailed explanation on
the equivalence between the Douglas equation and the string field theory based
on the KP hierarchy under the W_{1+\infty} constraints.
| [
{
"created": "Mon, 27 Feb 2006 19:21:31 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2006 17:31:36 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Nov 2006 19:31:31 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Nov 2006 13:10:25 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Irie",
"Hirotaka",
""
],
[
"Matsuo",
"Yoshinori",
""
]
] | Loop amplitudes in (p,q) minimal string theory are studied in terms of the continuum string field theory based on the free fermion realization of the KP hierarchy. We derive the Schwinger-Dyson equations for FZZT disk amplitudes directly from the W_{1+\infty} constraints in the string field formulation and give explicitly the algebraic curves of disk amplitudes for general backgrounds. We further give annulus amplitudes of FZZT-FZZT, FZZT-ZZ and ZZ-ZZ branes, generalizing our previous D-instanton calculus from the minimal unitary series (p,p+1) to general (p,q) series. We also give a detailed explanation on the equivalence between the Douglas equation and the string field theory based on the KP hierarchy under the W_{1+\infty} constraints. |
1903.06189 | Pablo Pais | Stephen L. Adler and Pablo Pais | Chiral Anomaly Calculation in the Extended Coupled Rarita-Schwinger Mode | 18 pages, 2 figures | Phys. Rev. D 99, 095037 (2019) | 10.1103/PhysRevD.99.095037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We recalculate the chiral anomaly in the Abelian gauge model in which a
spin-$\frac{1}{2}$ field is directly coupled to a Rarita-Schwinger
spin-$\frac{3}{2}$ field, using the extended theory in which there is an exact
fermionic gauge invariance. Since the standard gauge fixing and ghost analysis
applies to this theory, the ghost contribution to the chiral anomaly is $-1$
times the standard chiral anomaly for spin-$\frac{1}{2}$. Calculation of the
fermion loop Feynman diagrams contributing to the coupled model anomaly gives a
result of $6$ times the standard anomaly, so the total anomaly is $5$ times the
standard anomaly. This agrees with the result obtained from the unextended
model taking the ghost contribution there as $0$, corresponding to a
non-propagating ghost arising from exponentiating the second class constraint
determinant, together with the fermion loop anomaly contribution in the
unextended model of $5$ times the standard anomaly.
| [
{
"created": "Thu, 14 Mar 2019 18:02:32 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2019 15:14:06 GMT",
"version": "v2"
}
] | 2019-06-05 | [
[
"Adler",
"Stephen L.",
""
],
[
"Pais",
"Pablo",
""
]
] | We recalculate the chiral anomaly in the Abelian gauge model in which a spin-$\frac{1}{2}$ field is directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field, using the extended theory in which there is an exact fermionic gauge invariance. Since the standard gauge fixing and ghost analysis applies to this theory, the ghost contribution to the chiral anomaly is $-1$ times the standard chiral anomaly for spin-$\frac{1}{2}$. Calculation of the fermion loop Feynman diagrams contributing to the coupled model anomaly gives a result of $6$ times the standard anomaly, so the total anomaly is $5$ times the standard anomaly. This agrees with the result obtained from the unextended model taking the ghost contribution there as $0$, corresponding to a non-propagating ghost arising from exponentiating the second class constraint determinant, together with the fermion loop anomaly contribution in the unextended model of $5$ times the standard anomaly. |
1502.02564 | A. Yu. Petrov | D. Bazeia, A. Lobao, L. Losano, R. Menezes, A. Yu. Petrov | Note on the Gauss-Bonnet braneworld scenario | 13 pages, to appear in PRD | Phys. Rev. D 92, 064010 (2015) | 10.1103/PhysRevD.92.064010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we deal with the presence of braneworld solutions in a
five-dimensional space-time with a single extra spatial dimension of infinite
extent. The braneworld scenario is built under the presence of a single real
scalar field, and we modify the gravity sector to include generic function of
the Gauss-Bonnet term. We study several specific models, and we construct exact
braneworld solutions, in particular for including the Gauss-Bonnet term at
first and second order power. As an interesting result, we show that the brane
tends to split for a specific modification in the gravity sector, in the
presence of non constant Gauss-Bonnet term.
| [
{
"created": "Mon, 9 Feb 2015 17:00:28 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 2015 11:48:29 GMT",
"version": "v2"
}
] | 2015-09-16 | [
[
"Bazeia",
"D.",
""
],
[
"Lobao",
"A.",
""
],
[
"Losano",
"L.",
""
],
[
"Menezes",
"R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | In this work we deal with the presence of braneworld solutions in a five-dimensional space-time with a single extra spatial dimension of infinite extent. The braneworld scenario is built under the presence of a single real scalar field, and we modify the gravity sector to include generic function of the Gauss-Bonnet term. We study several specific models, and we construct exact braneworld solutions, in particular for including the Gauss-Bonnet term at first and second order power. As an interesting result, we show that the brane tends to split for a specific modification in the gravity sector, in the presence of non constant Gauss-Bonnet term. |
1107.5788 | Vyacheslav P. Spiridonov | V. P. Spiridonov, G. S. Vartanov | Elliptic hypergeometry of supersymmetric dualities II. Orthogonal
groups, knots, and vortices | Latex, 58 pages; paper shortened, to appear in Commun. Math. Phys | Commun. Math. Phys. 325 (2014), 421-486 | 10.1007/s00220-013-1861-4 | AEI-2011-049 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Seiberg electric-magnetic dualities for 4d $\mathcal{N}=1$ SYM
theories with SO(N) gauge group. For all such known theories we construct
superconformal indices (SCIs) in terms of elliptic hypergeometric integrals.
Equalities of these indices for dual theories lead both to proven earlier
special function identities and new conjectural relations for integrals. In
particular, we describe a number of new elliptic beta integrals associated with
the s-confining theories with the spinor matter fields. Reductions of some
dualities from SP(2N) to SO(2N) or SO(2N+1) gauge groups are described.
Interrelation of SCIs and the Witten anomaly is briefly discussed. Possible
applications of the elliptic hypergeometric integrals to a two-parameter
deformation of 2d conformal field theory and related matrix models are
indicated. Connections of the reduced SCIs with the state integrals of the knot
theory, generalized AGT duality for (3+3)d theories, and a 2d vortex partition
function are described.
| [
{
"created": "Thu, 28 Jul 2011 18:48:33 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Aug 2011 16:01:40 GMT",
"version": "v2"
},
{
"created": "Mon, 27 May 2013 16:01:13 GMT",
"version": "v3"
},
{
"created": "Tue, 28 May 2013 10:27:19 GMT",
"version": "v4"
}
] | 2015-05-30 | [
[
"Spiridonov",
"V. P.",
""
],
[
"Vartanov",
"G. S.",
""
]
] | We consider Seiberg electric-magnetic dualities for 4d $\mathcal{N}=1$ SYM theories with SO(N) gauge group. For all such known theories we construct superconformal indices (SCIs) in terms of elliptic hypergeometric integrals. Equalities of these indices for dual theories lead both to proven earlier special function identities and new conjectural relations for integrals. In particular, we describe a number of new elliptic beta integrals associated with the s-confining theories with the spinor matter fields. Reductions of some dualities from SP(2N) to SO(2N) or SO(2N+1) gauge groups are described. Interrelation of SCIs and the Witten anomaly is briefly discussed. Possible applications of the elliptic hypergeometric integrals to a two-parameter deformation of 2d conformal field theory and related matrix models are indicated. Connections of the reduced SCIs with the state integrals of the knot theory, generalized AGT duality for (3+3)d theories, and a 2d vortex partition function are described. |
1112.6216 | Franz Himpsel | F. J. Himpsel | Quantum Electrodynamics with Anharmonic Waves | 22 pages, 7 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the second step of a program to use anharmonic plane waves as basis
set in non-perturbative quantum field theory. The general framework developed
previously is applied to quantum electrodynamics. To test the compatibility
with standard quantum electrodynamics, the Feynman rules are generalized to
anharmonic waves by expanding the field operators into anharmonic plane waves.
A sum rule for the Fourier coefficients of anharmonic waves ensures that the
generalized Feynman rules are equivalent to the standard rules after summing
over all harmonics. It is possible to construct diagrams for the generation of
harmonics. They are of O(alpha^2) for photons and of O(alpha) for electrons. To
tackle intrinsically non-perturbative phenomena it is proposed to insert
anharmonic field operators into the Dyson-Schwinger equations while retaining
only the lowest harmonics.
| [
{
"created": "Thu, 29 Dec 2011 02:08:49 GMT",
"version": "v1"
}
] | 2011-12-30 | [
[
"Himpsel",
"F. J.",
""
]
] | This is the second step of a program to use anharmonic plane waves as basis set in non-perturbative quantum field theory. The general framework developed previously is applied to quantum electrodynamics. To test the compatibility with standard quantum electrodynamics, the Feynman rules are generalized to anharmonic waves by expanding the field operators into anharmonic plane waves. A sum rule for the Fourier coefficients of anharmonic waves ensures that the generalized Feynman rules are equivalent to the standard rules after summing over all harmonics. It is possible to construct diagrams for the generation of harmonics. They are of O(alpha^2) for photons and of O(alpha) for electrons. To tackle intrinsically non-perturbative phenomena it is proposed to insert anharmonic field operators into the Dyson-Schwinger equations while retaining only the lowest harmonics. |
hep-th/0608174 | Daniel Cremades | Daniel Cremades, Ernesto Lozano-Tellechea | Holography, The Second Law and a C-Function in Higher Curvature Gravity | 28 pages. v4: Published version with minor changes | JHEP 0701:045,2007 | 10.1088/1126-6708/2007/01/045 | DAMTP-2006-66. WIS/12/06-AG-DPP | hep-th gr-qc | null | We analyze the Second Law of black hole mechanics and the generalization of
the holographic bound for general theories of gravity. We argue that both the
possibility of defining a holographic bound and the existence of a Second Law
seem to imply each other via the existence of a certain "c-function" (i.e. a
never-decreasing function along outgoing null geodesic flow). We are able to
define such a "c-function", that we call \tilde{C}, for general theories of
gravity. It has the nontrivial property of being well defined on general
spacelike surfaces, rather than just on a spatial cross-section of a black hole
horizon. We argue that \tilde{C} is a suitable generalization of the notion of
"area" in any extension of the holographic bound for general theories of
gravity. Such a function is provided by an algorithm which is similar (although
not identical) to that used by Iyer and Wald to define the entropy of a
dynamical black hole. In a class of higher curvature gravity theories that we
analyze in detail, we are able to prove the monotonicity of \tilde{C} if
several physical requirements are satisfied. Apart from the usual ones, these
include the cancellation of ghosts in the spectrum of the gravitational
Lagrangian. Finally, we point out that our \tilde{C}-function, when evaluated
on a black hole horizon, constitutes by itself an alternative candidate for
defining the entropy of a dynamical black hole.
| [
{
"created": "Thu, 24 Aug 2006 19:08:27 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2006 22:40:08 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Sep 2006 18:17:45 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Jan 2007 18:05:42 GMT",
"version": "v4"
}
] | 2010-10-27 | [
[
"Cremades",
"Daniel",
""
],
[
"Lozano-Tellechea",
"Ernesto",
""
]
] | We analyze the Second Law of black hole mechanics and the generalization of the holographic bound for general theories of gravity. We argue that both the possibility of defining a holographic bound and the existence of a Second Law seem to imply each other via the existence of a certain "c-function" (i.e. a never-decreasing function along outgoing null geodesic flow). We are able to define such a "c-function", that we call \tilde{C}, for general theories of gravity. It has the nontrivial property of being well defined on general spacelike surfaces, rather than just on a spatial cross-section of a black hole horizon. We argue that \tilde{C} is a suitable generalization of the notion of "area" in any extension of the holographic bound for general theories of gravity. Such a function is provided by an algorithm which is similar (although not identical) to that used by Iyer and Wald to define the entropy of a dynamical black hole. In a class of higher curvature gravity theories that we analyze in detail, we are able to prove the monotonicity of \tilde{C} if several physical requirements are satisfied. Apart from the usual ones, these include the cancellation of ghosts in the spectrum of the gravitational Lagrangian. Finally, we point out that our \tilde{C}-function, when evaluated on a black hole horizon, constitutes by itself an alternative candidate for defining the entropy of a dynamical black hole. |
hep-th/9708043 | null | S. Bronoff, G.Dvali, K. Farakos and C.P. Korthals Altes | Wilson line in high temperature particle physics | Talk given at Eotvos Conference in Science: Strong and Electroweak
Matter (SEWM 97), Eger, Hungary, 21-25 May 1997, 21 pages including figures,
revised version, LaTeX, uses epsfig and sprocl | null | null | null | hep-th | null | The physics of the Wilson line leads to new developments in high temperature
particle physics. The main tool is the effective action for a given fixed value
of the phase of the Wilson line. It furnishes a gauge invariant infrared cut
off, and yields for small values of the phases a systematic procedure for
obtaining a power series in the coupling g and glog(1/g). It breaks the
centergroup symmetry of the gauge group only at high temperature so leads to
domain walls disappearing at low temperatures. It shows long lived metastable
states in the standard model, SU(5), SO(10) and its SUSY partners, with
possibilities for CP violation and thermal inflation.
| [
{
"created": "Thu, 7 Aug 1997 17:05:32 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Aug 1997 17:16:27 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Bronoff",
"S.",
""
],
[
"Dvali",
"G.",
""
],
[
"Farakos",
"K.",
""
],
[
"Altes",
"C. P. Korthals",
""
]
] | The physics of the Wilson line leads to new developments in high temperature particle physics. The main tool is the effective action for a given fixed value of the phase of the Wilson line. It furnishes a gauge invariant infrared cut off, and yields for small values of the phases a systematic procedure for obtaining a power series in the coupling g and glog(1/g). It breaks the centergroup symmetry of the gauge group only at high temperature so leads to domain walls disappearing at low temperatures. It shows long lived metastable states in the standard model, SU(5), SO(10) and its SUSY partners, with possibilities for CP violation and thermal inflation. |
2106.16248 | Juven C. Wang | Juven Wang, Yi-Zhuang You | Gauge Enhanced Quantum Criticality Beyond the Standard Model | 65 pages. Primers:
https://www.youtube.com/results?search_query=ultra+unification+quantum+crticiality+deformation+standard+model.
Dedicate to Subir Sachdev (60), Xiao-Gang Wen (60), Edward Witten (70),
Shing-Tung Yau (72). v3: Add more figures, motivations, comments on proton
decay, non-perturbative effects on perturbatively irrelevant deformations.
Sequel: arXiv:2111.10369, arXiv:2112.14765 | Phys. Rev. D 106, 025013 (2022) | 10.1103/PhysRevD.106.025013 | null | hep-th cond-mat.str-el hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | Standard lore views our 4d quantum vacuum governed by one of the candidate
Standard Models (SMs), while lifting towards some Grand Unification-like
structure (GUT) at higher energy scales. In contrast, in our work, we introduce
an alternative view that the SM arises from various neighbor vacua competition
in a quantum phase diagram. In general, we regard the SM arising near the
gapless quantum criticality (either critical points or critical regions)
between the competing neighbor vacua. In particular, we demonstrate how the
$su(3)\times su(2)\times u(1)$ SM with 16n Weyl fermions arises near the
quantum criticality between the GUT competition of Georgi-Glashow (GG) $su(5)$
and Pati-Salam (PS) $su(4)\times su(2)\times su(2)$. We propose two enveloping
toy models. Model I is a conventional $so(10)$ GUT with a Spin(10) gauge group
plus GUT-Higgs potential inducing various Higgs transitions. Model II modifies
Model I plus a 4d discrete torsion Wess-Zumino-Witten-like term built from
GUT-Higgs field (that matches a nonperturbative global mixed gauge-gravity
anomaly captured by a 5d invertible topological field theory $w_2w_3$), which
manifests a Beyond-Landau-Ginzburg criticality between GG and PS models, with
extra Beyond-the-Standard-Model (BSM) excitations emerging near a quantum
critical region. If the internal symmetries were treated as global symmetries,
we show a gapless 4d deconfined quantum criticality with new BSM fractionalized
fragmentary excitations of Color-Flavor separation, and gauge enhancement
including a Dark Gauge force sector, altogether requiring a double fermionic
Spin structure named DSpin. If the internal symmetries are dynamically gauged,
we show a 4d boundary criticality such that only appropriately gauge enhanced
dynamical GUT gauge fields propagate into an extra-dimensional 5d bulk. The
phenomena may be regarded as SM deformation or morphogenesis.
| [
{
"created": "Wed, 30 Jun 2021 17:59:55 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Oct 2021 14:00:01 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Feb 2022 22:22:22 GMT",
"version": "v3"
}
] | 2022-07-22 | [
[
"Wang",
"Juven",
""
],
[
"You",
"Yi-Zhuang",
""
]
] | Standard lore views our 4d quantum vacuum governed by one of the candidate Standard Models (SMs), while lifting towards some Grand Unification-like structure (GUT) at higher energy scales. In contrast, in our work, we introduce an alternative view that the SM arises from various neighbor vacua competition in a quantum phase diagram. In general, we regard the SM arising near the gapless quantum criticality (either critical points or critical regions) between the competing neighbor vacua. In particular, we demonstrate how the $su(3)\times su(2)\times u(1)$ SM with 16n Weyl fermions arises near the quantum criticality between the GUT competition of Georgi-Glashow (GG) $su(5)$ and Pati-Salam (PS) $su(4)\times su(2)\times su(2)$. We propose two enveloping toy models. Model I is a conventional $so(10)$ GUT with a Spin(10) gauge group plus GUT-Higgs potential inducing various Higgs transitions. Model II modifies Model I plus a 4d discrete torsion Wess-Zumino-Witten-like term built from GUT-Higgs field (that matches a nonperturbative global mixed gauge-gravity anomaly captured by a 5d invertible topological field theory $w_2w_3$), which manifests a Beyond-Landau-Ginzburg criticality between GG and PS models, with extra Beyond-the-Standard-Model (BSM) excitations emerging near a quantum critical region. If the internal symmetries were treated as global symmetries, we show a gapless 4d deconfined quantum criticality with new BSM fractionalized fragmentary excitations of Color-Flavor separation, and gauge enhancement including a Dark Gauge force sector, altogether requiring a double fermionic Spin structure named DSpin. If the internal symmetries are dynamically gauged, we show a 4d boundary criticality such that only appropriately gauge enhanced dynamical GUT gauge fields propagate into an extra-dimensional 5d bulk. The phenomena may be regarded as SM deformation or morphogenesis. |
hep-th/9707148 | Keith Dienes | Julie D. Blum and Keith R. Dienes (Institute for Advanced Study,
Princeton) | Duality without Supersymmetry: The Case of the SO(16)xSO(16) String | 15 pages, LaTeX, 3 figures | Phys.Lett.B414:260-268,1997 | 10.1016/S0370-2693(97)01172-6 | IASSNS-HEP-97/67 (July 1997) | hep-th hep-ph | null | We extend strong/weak coupling duality to string theories without spacetime
supersymmetry, and focus on the case of the unique ten-dimensional,
nonsupersymmetric, tachyon-free $SO(16)\times SO(16)$ heterotic string. We
construct a tachyon-free heterotic string model that interpolates smoothly
between this string and the ten-dimensional supersymmetric $SO(32)$ heterotic
string, and we construct a dual for this interpolating model. We find that the
perturbative massless states of our dual theories precisely match within a
certain range of the interpolation. Further evidence for this proposed duality
comes from a calculation of the one-loop cosmological constant in both
theories, as well as the presence of a soliton in the dual theory. This is
therefore the first known duality relation between nonsupersymmetric
tachyon-free string theories. Using this duality, we then investigate the
perturbative and nonperturbative stability of the $SO(16)\times SO(16)$ string,
and present a conjecture concerning its ultimate fate.
| [
{
"created": "Wed, 16 Jul 1997 23:32:23 GMT",
"version": "v1"
}
] | 2009-08-18 | [
[
"Blum",
"Julie D.",
"",
"Institute for Advanced Study,\n Princeton"
],
[
"Dienes",
"Keith R.",
"",
"Institute for Advanced Study,\n Princeton"
]
] | We extend strong/weak coupling duality to string theories without spacetime supersymmetry, and focus on the case of the unique ten-dimensional, nonsupersymmetric, tachyon-free $SO(16)\times SO(16)$ heterotic string. We construct a tachyon-free heterotic string model that interpolates smoothly between this string and the ten-dimensional supersymmetric $SO(32)$ heterotic string, and we construct a dual for this interpolating model. We find that the perturbative massless states of our dual theories precisely match within a certain range of the interpolation. Further evidence for this proposed duality comes from a calculation of the one-loop cosmological constant in both theories, as well as the presence of a soliton in the dual theory. This is therefore the first known duality relation between nonsupersymmetric tachyon-free string theories. Using this duality, we then investigate the perturbative and nonperturbative stability of the $SO(16)\times SO(16)$ string, and present a conjecture concerning its ultimate fate. |
hep-th/0103178 | Pierre Mathieu | P. Desrosiers, L. Lapointe and P. Mathieu | Supersymmetric Calogero-Moser-Sutherland models and Jack
superpolynomials | Minor corrections in tables; 30 pages | Nucl.Phys. B606 (2001) 547-582 | 10.1016/S0550-3213(01)00208-5 | null | hep-th cond-mat math-ph math.MP math.QA nlin.SI | null | A new generalization of the Jack polynomials that incorporates fermionic
variables is presented. These Jack superpolynomials are constructed as those
eigenfunctions of the supersymmetric extension of the trigonometric
Calogero-Moser-Sutherland (CMS) model that decomposes triangularly in terms of
the symmetric monomial superfunctions. Many explicit examples are displayed.
Furthermore, various new results have been obtained for the supersymmetric
version of the CMS models: the Lax formulation, the construction of the Dunkl
operators and the explicit expressions for the conserved charges. The
reformulation of the models in terms of the exchange-operator formalism is a
crucial aspect of our analysis.
| [
{
"created": "Wed, 21 Mar 2001 19:02:11 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2003 18:09:50 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Desrosiers",
"P.",
""
],
[
"Lapointe",
"L.",
""
],
[
"Mathieu",
"P.",
""
]
] | A new generalization of the Jack polynomials that incorporates fermionic variables is presented. These Jack superpolynomials are constructed as those eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland (CMS) model that decomposes triangularly in terms of the symmetric monomial superfunctions. Many explicit examples are displayed. Furthermore, various new results have been obtained for the supersymmetric version of the CMS models: the Lax formulation, the construction of the Dunkl operators and the explicit expressions for the conserved charges. The reformulation of the models in terms of the exchange-operator formalism is a crucial aspect of our analysis. |
1007.4075 | Jan Rosseel | Eric A. Bergshoeff, Olaf Hohm, Jan Rosseel, Paul K. Townsend | On Maximal Massive 3D Supergravity | 33 pages | Class.Quant.Grav.27:235012,2010 | 10.1088/0264-9381/27/23/235012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct, at the linearized level, the three-dimensional (3D) N = 4
supersymmetric "general massive supergravity" and the maximally supersymmetric
N = 8 "new massive supergravity". We also construct the maximally
supersymmetric linearized N = 7 topologically massive supergravity, although we
expect N = 6 to be maximal at the non-linear level.
| [
{
"created": "Fri, 23 Jul 2010 09:02:35 GMT",
"version": "v1"
}
] | 2011-03-28 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Rosseel",
"Jan",
""
],
[
"Townsend",
"Paul K.",
""
]
] | We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric linearized N = 7 topologically massive supergravity, although we expect N = 6 to be maximal at the non-linear level. |
2103.05626 | Ronaldo Thibes | Vipul Kumar Pandey and Ronaldo Thibes | BFFT Nonlinear Constraints Abelianization of a Prototypical Second-Class
System | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the BFFT formalism to a prototypical second-class system, aiming to
convert its constraints from second- to first-class. The proposed system admits
a consistent initial set of second-class constraints and an open potential
function providing room for applications to mechanical models as well as field
theory such as the non-linear sigma model. The constraints can be arbitralily
non-linear, broadly generalizing previously known cases. We obtain a sufficient
condition for which a simple closed expression for the Abelian converted
constraints and modified involutive Hamiltonian can be achieved. As explicit
examples, we discuss a particle on a torus and a spontaneous Lorentz symmetry
breaking vector model, obtaining in both situations the full first-class
abelianized constraints in closed form and the corresponding involutive
Hamiltonian.
| [
{
"created": "Tue, 9 Mar 2021 18:53:57 GMT",
"version": "v1"
}
] | 2021-03-10 | [
[
"Pandey",
"Vipul Kumar",
""
],
[
"Thibes",
"Ronaldo",
""
]
] | We apply the BFFT formalism to a prototypical second-class system, aiming to convert its constraints from second- to first-class. The proposed system admits a consistent initial set of second-class constraints and an open potential function providing room for applications to mechanical models as well as field theory such as the non-linear sigma model. The constraints can be arbitralily non-linear, broadly generalizing previously known cases. We obtain a sufficient condition for which a simple closed expression for the Abelian converted constraints and modified involutive Hamiltonian can be achieved. As explicit examples, we discuss a particle on a torus and a spontaneous Lorentz symmetry breaking vector model, obtaining in both situations the full first-class abelianized constraints in closed form and the corresponding involutive Hamiltonian. |
hep-th/9904191 | Hirosi Ooguri | Nadav Drukker, David J. Gross, and Hirosi Ooguri | Wilson Loops and Minimal Surfaces | 51 pages, 7 figures | Phys.Rev.D60:125006,1999 | 10.1103/PhysRevD.60.125006 | UCB-PTH-99/11, LBNL-43079, NSF-ITP-99-22 | hep-th | null | The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge
theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface
in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge
theory expectations with computations of minimal surfaces. There is a
distinguished class of loops, which we call BPS loops, whose expectation values
are free from ultra-violet divergence. We formulate the loop equation for such
loops. To the extent that we have checked, the minimal surface in AdS_5 x S^5
gives a solution of the equation. We also discuss the zig-zag symmetry of the
loop operator. In the N=4 gauge theory, we expect the zig-zag symmetry to hold
when the loop does not couple the scalar fields in the supermultiplet. We will
show how this is realized for the minimal surface.
| [
{
"created": "Tue, 27 Apr 1999 19:24:34 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Drukker",
"Nadav",
""
],
[
"Gross",
"David J.",
""
],
[
"Ooguri",
"Hirosi",
""
]
] | The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which we call BPS loops, whose expectation values are free from ultra-violet divergence. We formulate the loop equation for such loops. To the extent that we have checked, the minimal surface in AdS_5 x S^5 gives a solution of the equation. We also discuss the zig-zag symmetry of the loop operator. In the N=4 gauge theory, we expect the zig-zag symmetry to hold when the loop does not couple the scalar fields in the supermultiplet. We will show how this is realized for the minimal surface. |
2408.01485 | Temple He | Temple He, Ana-Maria Raclariu, Kathryn M. Zurek | An Infrared On-Shell Action and its Implications for Soft Charge
Fluctuations in Asymptotically Flat Spacetimes | 38 pages | null | null | CALT-TH 2024-028 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the infrared on-shell action of Einstein gravity in asymptotically
flat spacetimes, obtaining an effective, gauge-invariant boundary action for
memory and shockwave spacetimes. We show that the phase space is in both cases
parameterized by the leading soft variables in asymptotically flat spacetimes,
thereby extending the equivalence between shockwave and soft commutators to
spacetimes with non-vanishing Bondi mass. We then demonstrate that our on-shell
action is equal to three quantities studied separately in the literature: $(i)$
the soft supertranslation charge; $(ii)$ the shockwave effective action, or
equivalently the modular Hamiltonian; and $(iii)$ the soft effective action.
Finally, we compute the quantum fluctuations in the soft supertranslation
charge and, assuming the supertranslation parameter may be promoted to an
operator, we obtain an area law, consistent with earlier results showing that
the modular Hamiltonian has such fluctuations.
| [
{
"created": "Fri, 2 Aug 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-08-06 | [
[
"He",
"Temple",
""
],
[
"Raclariu",
"Ana-Maria",
""
],
[
"Zurek",
"Kathryn M.",
""
]
] | We study the infrared on-shell action of Einstein gravity in asymptotically flat spacetimes, obtaining an effective, gauge-invariant boundary action for memory and shockwave spacetimes. We show that the phase space is in both cases parameterized by the leading soft variables in asymptotically flat spacetimes, thereby extending the equivalence between shockwave and soft commutators to spacetimes with non-vanishing Bondi mass. We then demonstrate that our on-shell action is equal to three quantities studied separately in the literature: $(i)$ the soft supertranslation charge; $(ii)$ the shockwave effective action, or equivalently the modular Hamiltonian; and $(iii)$ the soft effective action. Finally, we compute the quantum fluctuations in the soft supertranslation charge and, assuming the supertranslation parameter may be promoted to an operator, we obtain an area law, consistent with earlier results showing that the modular Hamiltonian has such fluctuations. |
1102.0074 | Yan-Gang Miao | Yan-Gang Miao, Zhao Xue, Shao-Jun Zhang | Quantum tunneling and spectroscopy of noncommutative inspired Kerr black
hole | 14 pages, no figures; v2: clarifications and references added; v3: 15
pages, clarifications and references added; v4: minor corrections, final
version to appear in Int. J. Mod. Phys. D | Int. J. Mod. Phys. D 21 (2012) 1250018 | 10.1142/S0218271812500186 | CAS-KITPC/ITP-279 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the thermodynamics of the noncommutative inspired Kerr black hole
by means of a reformulated Hamilton-Jacobi method and a dimensional reduction
technique. In order to investigate the effect of the angular momentum of the
tunneling particle, we calculate the wave function to the first order of the
WKB ansatz. Then, using a density matrix technique we derive the radiation
spectrum from which the radiation temperature can be read out. Our results show
that the radiation of this noncommutative inspired black hole corresponds to a
modified temperature which involves the effect of noncommutativity. However,
the angular momentum of the tunneling particle has no influence on the
radiation temperature. Moreover, we analyze the entropy spectrum and verify
that its quantization is modified neither by the noncommutativity of spacetime
nor by the quantum correction of wave functions.
| [
{
"created": "Tue, 1 Feb 2011 04:10:44 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2011 14:14:44 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Oct 2011 12:22:05 GMT",
"version": "v3"
},
{
"created": "Sat, 28 Jan 2012 08:18:57 GMT",
"version": "v4"
}
] | 2012-03-02 | [
[
"Miao",
"Yan-Gang",
""
],
[
"Xue",
"Zhao",
""
],
[
"Zhang",
"Shao-Jun",
""
]
] | We discuss the thermodynamics of the noncommutative inspired Kerr black hole by means of a reformulated Hamilton-Jacobi method and a dimensional reduction technique. In order to investigate the effect of the angular momentum of the tunneling particle, we calculate the wave function to the first order of the WKB ansatz. Then, using a density matrix technique we derive the radiation spectrum from which the radiation temperature can be read out. Our results show that the radiation of this noncommutative inspired black hole corresponds to a modified temperature which involves the effect of noncommutativity. However, the angular momentum of the tunneling particle has no influence on the radiation temperature. Moreover, we analyze the entropy spectrum and verify that its quantization is modified neither by the noncommutativity of spacetime nor by the quantum correction of wave functions. |
hep-th/0703204 | Cesar Fosco | C. D. Fosco, A. P. C. Malbouisson and I. Roditi | A new path integral representation for the thermal partition function | 16 pages, no figures | null | null | null | hep-th | null | The boundary conditions corresponding to the Matsubara formalism for the $T >
0$ partition function may be introduced as {\em constraints} in the path
integral for the vacuum amplitude. We implement those constraints with
time-independent Lagrange multipliers and, by integrating out the original
fields, we obtain an alternative representation for the partition function, in
terms of the Lagrange multipliers as dynamical fields. The resulting functional
integral has the appealing property of involving only $d$-dimensional, {\em
time independent} fields, and looks like a nonlocal version of the classical
partition function. We develop this formalism within the context of the scalar
and Dirac fields.
| [
{
"created": "Fri, 23 Mar 2007 01:28:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fosco",
"C. D.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Roditi",
"I.",
""
]
] | The boundary conditions corresponding to the Matsubara formalism for the $T > 0$ partition function may be introduced as {\em constraints} in the path integral for the vacuum amplitude. We implement those constraints with time-independent Lagrange multipliers and, by integrating out the original fields, we obtain an alternative representation for the partition function, in terms of the Lagrange multipliers as dynamical fields. The resulting functional integral has the appealing property of involving only $d$-dimensional, {\em time independent} fields, and looks like a nonlocal version of the classical partition function. We develop this formalism within the context of the scalar and Dirac fields. |
1001.0222 | Shoichi Ichinose | Shoichi Ichinose | Casimir Energy of the Universe and New Regularization of Higher
Dimensional Quantum Field Theories | 13 paes, 8 figures, proceedings of 1st Mediterranean Conf. on CQG | J.Phys.Conf.Ser.222:012048,2010 | 10.1088/1742-6596/222/1/012048 | US-10-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Casimir energy is calculated for the 5D electromagnetism and 5D scalar theory
in the {\it warped} geometry. It is compared with the flat case. A new
regularization, called {\it sphere lattice regularization}, is taken. In the
integration over the 5D space, we introduce two boundary curves (IR-surface and
UV-surface) based on the {\it minimal area principle}. It is a {\it direct}
realization of the geometrical approach to the {\it renormalization group}. The
regularized configuration is {\it closed-string like}. We do {\it not} take the
KK-expansion approach. Instead, the position/momentum propagator is exploited,
combined with the {\it heat-kernel method}. All expressions are closed-form
(not KK-expanded form). The {\it generalized} P/M propagators are introduced.
We numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp
parameter) and $T$(extra space IR parameter) dependence of the Casimir energy.
We present two {\it new ideas} in order to define the 5D QFT: 1) the summation
(integral) region over the 5D space is {\it restricted} by two minimal surfaces
(IR-surface, UV-surface) ; or 2) we introduce a {\it weight function} and
require the dominant contribution, in the summation, is given by the {\it
minimal surface}. Based on these, 5D Casimir energy is {\it finitely} obtained
after the {\it proper renormalization procedure.} The {\it warp parameter}
$\om$ suffers from the {\it renormalization effect}. The IR parameter $T$ does
not. We examine the meaning of the weight function and finally reach a {\it new
definition} of the Casimir energy where {\it the 4D momenta(or coordinates) are
quantized} with the extra coordinate as the Euclidean time (inverse
temperature). We examine the cosmological constant problem and present an
answer at the end. Dirac's large number naturally appears.
| [
{
"created": "Fri, 1 Jan 2010 10:35:18 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Ichinose",
"Shoichi",
""
]
] | Casimir energy is calculated for the 5D electromagnetism and 5D scalar theory in the {\it warped} geometry. It is compared with the flat case. A new regularization, called {\it sphere lattice regularization}, is taken. In the integration over the 5D space, we introduce two boundary curves (IR-surface and UV-surface) based on the {\it minimal area principle}. It is a {\it direct} realization of the geometrical approach to the {\it renormalization group}. The regularized configuration is {\it closed-string like}. We do {\it not} take the KK-expansion approach. Instead, the position/momentum propagator is exploited, combined with the {\it heat-kernel method}. All expressions are closed-form (not KK-expanded form). The {\it generalized} P/M propagators are introduced. We numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(extra space IR parameter) dependence of the Casimir energy. We present two {\it new ideas} in order to define the 5D QFT: 1) the summation (integral) region over the 5D space is {\it restricted} by two minimal surfaces (IR-surface, UV-surface) ; or 2) we introduce a {\it weight function} and require the dominant contribution, in the summation, is given by the {\it minimal surface}. Based on these, 5D Casimir energy is {\it finitely} obtained after the {\it proper renormalization procedure.} The {\it warp parameter} $\om$ suffers from the {\it renormalization effect}. The IR parameter $T$ does not. We examine the meaning of the weight function and finally reach a {\it new definition} of the Casimir energy where {\it the 4D momenta(or coordinates) are quantized} with the extra coordinate as the Euclidean time (inverse temperature). We examine the cosmological constant problem and present an answer at the end. Dirac's large number naturally appears. |
1303.4534 | Moritz McGarrie | Moritz McGarrie | 5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications | 21pages, no figures | JHEP 1304 (2013) 161 | 10.1007/JHEP04(2013)161 | DESY 13-048 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate 5D maximally supersymmetric Yang-Mills in 4D Superspace, for a
manifold with boundaries. We emphasise certain features and conventions
necessary to allow for supersymmetric model building applications. Finally we
apply the holographic interpretation of a slice of AdS and show how to generate
Dirac soft masses between external source fields, as well as kinetic mixing, as
a boundary effective action.
| [
{
"created": "Tue, 19 Mar 2013 10:12:57 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2013 10:53:53 GMT",
"version": "v2"
}
] | 2013-07-16 | [
[
"McGarrie",
"Moritz",
""
]
] | We reformulate 5D maximally supersymmetric Yang-Mills in 4D Superspace, for a manifold with boundaries. We emphasise certain features and conventions necessary to allow for supersymmetric model building applications. Finally we apply the holographic interpretation of a slice of AdS and show how to generate Dirac soft masses between external source fields, as well as kinetic mixing, as a boundary effective action. |
hep-th/9112073 | Toshiya Kawai | Toshiya Kawai, Taku Uchino and Sun-Kil Yang | Higher-Rank Supersymmetry and Topological Field Theory | 10 pages | Prog.Theor.Phys.Suppl.110:1-8,1992 | 10.1143/PTPS.110.1 | null | hep-th | null | The $N=2$ minimal superconformal model can be twisted yielding an example of
topological conformal field theory. In this article we investigate a Lie
theoretic extension of this process.
| [
{
"created": "Wed, 25 Dec 1991 06:52:17 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kawai",
"Toshiya",
""
],
[
"Uchino",
"Taku",
""
],
[
"Yang",
"Sun-Kil",
""
]
] | The $N=2$ minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this process. |
1904.10200 | Marika Taylor | Joan Garcia i Tormo and Marika Taylor | One point functions for black hole microstates | 74 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute one point functions of chiral primary operators in the D1-D5
orbifold CFT, in classes of states corresponding to microstates of two and
three charge black holes. Black hole microstates describable by supergravity
solutions correspond to coherent superpositions of states in the orbifold
theory and we develop methods for approximating one point functions in such
superpositions in the large N limit. We show that microstates built from long
strings (large twist operators) have one point functions that are suppressed by
powers of N. Accordingly, even when these microstates admit supergravity
descriptions, the characteristic scales in these solutions are comparable to
higher derivative corrections to supergravity.
| [
{
"created": "Tue, 23 Apr 2019 08:38:52 GMT",
"version": "v1"
}
] | 2019-04-24 | [
[
"Tormo",
"Joan Garcia i",
""
],
[
"Taylor",
"Marika",
""
]
] | We compute one point functions of chiral primary operators in the D1-D5 orbifold CFT, in classes of states corresponding to microstates of two and three charge black holes. Black hole microstates describable by supergravity solutions correspond to coherent superpositions of states in the orbifold theory and we develop methods for approximating one point functions in such superpositions in the large N limit. We show that microstates built from long strings (large twist operators) have one point functions that are suppressed by powers of N. Accordingly, even when these microstates admit supergravity descriptions, the characteristic scales in these solutions are comparable to higher derivative corrections to supergravity. |
0905.1968 | Martijn Wijnholt | Tony Pantev and Martijn Wijnholt | Hitchin's Equations and M-Theory Phenomenology | 48p, 8 figs, LaTeX | J.Geom.Phys.61:1223-1247,2011 | 10.1016/j.geomphys.2011.02.014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Phenomenological compactifications of M-theory involve 7-manifolds with G_2
holonomy and various singularities. Here we study local geometries with such
singularities, by thinking of them as compactifications of 7d supersymmetric
Yang-Mills theory on a three-manifold Q_3. We give a general discussion of
compactifications of 7d Yang-Mills theory in terms of Higgs bundles on Q_3. We
show they can be constructed using spectral covers, which are Lagrangian branes
with a flat connection in the cotangent bundle T^*Q_3. We explain the
dictionary with ALE fibrations over Q_3 and conjecture that these
configurations have G_2 holonomy. We further develop tools to study the low
energy effective theory of such a model. We show that the naive massless
spectrum is corrected by instanton effects. Taking the instanton effects into
account, we find that the massless spectrum and many of the interactions can be
computed with Morse theoretic methods.
| [
{
"created": "Wed, 13 May 2009 19:39:42 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Pantev",
"Tony",
""
],
[
"Wijnholt",
"Martijn",
""
]
] | Phenomenological compactifications of M-theory involve 7-manifolds with G_2 holonomy and various singularities. Here we study local geometries with such singularities, by thinking of them as compactifications of 7d supersymmetric Yang-Mills theory on a three-manifold Q_3. We give a general discussion of compactifications of 7d Yang-Mills theory in terms of Higgs bundles on Q_3. We show they can be constructed using spectral covers, which are Lagrangian branes with a flat connection in the cotangent bundle T^*Q_3. We explain the dictionary with ALE fibrations over Q_3 and conjecture that these configurations have G_2 holonomy. We further develop tools to study the low energy effective theory of such a model. We show that the naive massless spectrum is corrected by instanton effects. Taking the instanton effects into account, we find that the massless spectrum and many of the interactions can be computed with Morse theoretic methods. |
hep-th/0411257 | Steven Gubser | Steven S. Gubser | The Gregory-Laflamme instability for the D2-D0 bound state | 19 pages, Latex2e. v2: two refs added. v3: clearer exposition in
section 4 | JHEP0502:040,2005 | 10.1088/1126-6708/2005/02/040 | PUPT-2144 | hep-th | null | The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is
sufficiently non-extremal. If there are no D0-branes, the requisite
non-extremality is finite. When most of the extremal mass comes from D0-branes,
the requisite non-extremality is very small. The location of the threshhold for
the instability is determined using a local thermodynamic analysis which is
then checked against a numerical analysis of the linearized equations of
motion. The thermodynamic analysis reveals an instability of non-commutative
field theory at finite temperature, which may occur only at very long
wavelengths as the decoupling limit is approached.
| [
{
"created": "Mon, 29 Nov 2004 01:47:50 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2004 17:59:40 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Feb 2005 19:18:47 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Gubser",
"Steven S.",
""
]
] | The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no D0-branes, the requisite non-extremality is finite. When most of the extremal mass comes from D0-branes, the requisite non-extremality is very small. The location of the threshhold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached. |
hep-th/0012153 | Laurent Hoffmann | L. Hoffmann, L. Mesref, W. Ruehl | Conformal partial wave analysis of AdS amplitudes for dilaton-axion
four-point functions | 27 pages, 1 graph, 12 figures, Corrections in eqns. (1.10), (1.11) | Nucl.Phys. B608 (2001) 177-202 | 10.1016/S0550-3213(01)00256-5 | null | hep-th | null | Operator product expansions are applied to dilaton-axion four-point
functions. In the expansions of the bilocal fields $\tilde{\Phi}\tilde{\Phi}$,
$\tilde{C}\tilde{C}$ and $\tilde{\Phi}\tilde{C}$, the conformal fields which
are symmetric traceless tensors of rank $l$ and have dimensions $\delta=2+l$ or
$8+l+\eta(l)$ and $\eta(l)=\mathcal{O}(N^{-2})$ are identified. The
unidentified fields have dimension $\delta=\lambda+l+\eta(l)$ with $\lambda\geq
10$. The anomalous dimensions $\eta(l)$ are calculated at order
$\mathcal{O}(N^{-2})$ for both $2^{-{1/2}}(-\tilde{\Phi}\tilde{\Phi} +
\tilde{C}\tilde{C})$ and $2^{-{1/2}}(\tilde{\Phi}\tilde{C} +
\tilde{C}\tilde{\Phi})$ and are found to be the same, proving $U(1)_Y$
symmetry. The relevant coupling constants are given at order $\mathcal{O}(1)$.
| [
{
"created": "Mon, 18 Dec 2000 14:49:22 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2001 12:25:48 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jan 2001 09:40:31 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hoffmann",
"L.",
""
],
[
"Mesref",
"L.",
""
],
[
"Ruehl",
"W.",
""
]
] | Operator product expansions are applied to dilaton-axion four-point functions. In the expansions of the bilocal fields $\tilde{\Phi}\tilde{\Phi}$, $\tilde{C}\tilde{C}$ and $\tilde{\Phi}\tilde{C}$, the conformal fields which are symmetric traceless tensors of rank $l$ and have dimensions $\delta=2+l$ or $8+l+\eta(l)$ and $\eta(l)=\mathcal{O}(N^{-2})$ are identified. The unidentified fields have dimension $\delta=\lambda+l+\eta(l)$ with $\lambda\geq 10$. The anomalous dimensions $\eta(l)$ are calculated at order $\mathcal{O}(N^{-2})$ for both $2^{-{1/2}}(-\tilde{\Phi}\tilde{\Phi} + \tilde{C}\tilde{C})$ and $2^{-{1/2}}(\tilde{\Phi}\tilde{C} + \tilde{C}\tilde{\Phi})$ and are found to be the same, proving $U(1)_Y$ symmetry. The relevant coupling constants are given at order $\mathcal{O}(1)$. |
2302.11863 | Jose Alejandro Rosabal Rodriguez | J. A. Rosabal | JT Gravity on a Finite Lorentzian Strip: Time dependent Quantum Gravity
Amplitudes | One more revision requested by SciPost Journal editor in charge,
references added, 23 pages, one figure | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We formulate JT quantum gravity on a finite Lorentzian strip. Due to the
spatial boundaries of the strip, it is possible to define left and right proper
times. With respect to these times we compute non-perturbatively the quantum
gravity (QG) time dependent transition amplitude. Lagrangian and Hamiltonian
formulations are presented. Special attention is paid to the four corner terms
(Hayward terms) in the action that are needed in order to have a well defined
variational problem. From a detailed analysis of the gravity boundary condition
on the spatial boundary, we find that while the lapse and the shift functions
are independent Lagrange multipliers on the bulk, on the spatial boundary,
these two are related. This fact leads to an algebraic equation of motion for a
particular degree of freedom that is conveniently introduced on the spatial
boundaries whose solution can be plugged back into the action allowing to fully
determine the time dependent transition amplitude. The final result suggests
that time evolution is non-unitary for most of the boundary conditions.
Interestingly enough, unitary could be recovered when spatial $\text{AdS}_2$
boundary conditions are imposed. Other wave functions for other topologies
obtained from the strip by gluing its spatial boundaries are also presented.
Remarkably these do not exhibit any non-unitary evolution behavior.
| [
{
"created": "Thu, 23 Feb 2023 09:04:36 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2023 16:26:06 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Oct 2023 12:33:18 GMT",
"version": "v3"
},
{
"created": "Wed, 6 Mar 2024 17:36:20 GMT",
"version": "v4"
}
] | 2024-03-07 | [
[
"Rosabal",
"J. A.",
""
]
] | We formulate JT quantum gravity on a finite Lorentzian strip. Due to the spatial boundaries of the strip, it is possible to define left and right proper times. With respect to these times we compute non-perturbatively the quantum gravity (QG) time dependent transition amplitude. Lagrangian and Hamiltonian formulations are presented. Special attention is paid to the four corner terms (Hayward terms) in the action that are needed in order to have a well defined variational problem. From a detailed analysis of the gravity boundary condition on the spatial boundary, we find that while the lapse and the shift functions are independent Lagrange multipliers on the bulk, on the spatial boundary, these two are related. This fact leads to an algebraic equation of motion for a particular degree of freedom that is conveniently introduced on the spatial boundaries whose solution can be plugged back into the action allowing to fully determine the time dependent transition amplitude. The final result suggests that time evolution is non-unitary for most of the boundary conditions. Interestingly enough, unitary could be recovered when spatial $\text{AdS}_2$ boundary conditions are imposed. Other wave functions for other topologies obtained from the strip by gluing its spatial boundaries are also presented. Remarkably these do not exhibit any non-unitary evolution behavior. |
1110.1657 | Gerald V. Dunne | Cesim K. Dumlu and Gerald V. Dunne | Complex Worldline Instantons and Quantum Interference in Vacuum Pair
Production | 17 pages, 9 figures | Phys. Rev. D 84, 125023 (2011) | 10.1103/PhysRevD.84.125023 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe in detail a physical situation in which instantons are
necessarily complex, not just Wick rotations of classical solutions to
Euclidean spacetime. These complex instantons arise in the semiclassical
evaluation of vacuum pair production rates, based on Feynman's worldline path
integral formulation. Even though the path integral is a sum over all real
closed trajectories in spacetime, the semiclassical description of
non-perturbative pair production is dominated by closed classical trajectories
that are generically complex. These closed trajectories contain segments
associated with nonperturbative instanton suppression factors as well as
segments producing phase factors that incorporate quantum interference effects.
For a class of time-dependent electric fields we implement this procedure and
demonstrate excellent quantitative agreement with alternative methods.
| [
{
"created": "Fri, 7 Oct 2011 21:12:09 GMT",
"version": "v1"
}
] | 2012-05-15 | [
[
"Dumlu",
"Cesim K.",
""
],
[
"Dunne",
"Gerald V.",
""
]
] | We describe in detail a physical situation in which instantons are necessarily complex, not just Wick rotations of classical solutions to Euclidean spacetime. These complex instantons arise in the semiclassical evaluation of vacuum pair production rates, based on Feynman's worldline path integral formulation. Even though the path integral is a sum over all real closed trajectories in spacetime, the semiclassical description of non-perturbative pair production is dominated by closed classical trajectories that are generically complex. These closed trajectories contain segments associated with nonperturbative instanton suppression factors as well as segments producing phase factors that incorporate quantum interference effects. For a class of time-dependent electric fields we implement this procedure and demonstrate excellent quantitative agreement with alternative methods. |
hep-th/9710163 | Konstadinos Sfetsos | Konstadinos Sfetsos | Canonical equivalence of non-isometric sigma models and Poisson-Lie
T-duality | 19 pages, latex. Minor grammatical typos corrected. Version to appear
in Nucl. Phys. B | Nucl.Phys. B517 (1998) 549-566 | 10.1016/S0550-3213(97)00823-7 | CERN-TH/97-285 | hep-th | null | We prove that a transformation, conjectured in our previous work, between
phase-space variables in $\s$-models related by Poisson-Lie T-duality is indeed
a canonical one. We do so by explicitly demonstrating the invariance of the
classical Poisson brackets. This is the first example of a class of $\s$-models
with no isometries related by canonical transformations. In addition we discuss
generating functionals of canonical transformations in generally non-isometric,
bosonic and supersymmetric $\s$-models and derive the complete set of
conditions that determine them. We apply this general formalism to find the
generating functional for Poisson-Lie T-duality. We also comment on the
relevance of this work to D-brane physics and to quantum aspects of T-duality.
| [
{
"created": "Tue, 21 Oct 1997 11:39:47 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Dec 1997 19:39:43 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Sfetsos",
"Konstadinos",
""
]
] | We prove that a transformation, conjectured in our previous work, between phase-space variables in $\s$-models related by Poisson-Lie T-duality is indeed a canonical one. We do so by explicitly demonstrating the invariance of the classical Poisson brackets. This is the first example of a class of $\s$-models with no isometries related by canonical transformations. In addition we discuss generating functionals of canonical transformations in generally non-isometric, bosonic and supersymmetric $\s$-models and derive the complete set of conditions that determine them. We apply this general formalism to find the generating functional for Poisson-Lie T-duality. We also comment on the relevance of this work to D-brane physics and to quantum aspects of T-duality. |
hep-th/0601207 | Chen-Gang Zhou | Chen-gang Zhou | Loop Corrected D-branes Stability Conditions | 14 pages | null | null | UK-06-01 | hep-th | null | In type-II string theory compactifications on Calabi-Yau manifolds,
topological string theory partition functions give a class of exact F-terms in
the four-dimensional effective action. We point out that in the background of
constant self-dual field strength, these terms deform the central charges for
D-branes wrapping Calabi-Yau manifold to include string loop corrections. We
study the corresponding loop corrected D-brane stability conditions, which for
B-type branes at the large volume limit implies loop corrected
Hermitian-Yang-Mills equation, and for A-type branes imply loop corrected
special Lagrangian submanifold condition.
| [
{
"created": "Fri, 27 Jan 2006 20:16:20 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jan 2006 20:51:27 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Zhou",
"Chen-gang",
""
]
] | In type-II string theory compactifications on Calabi-Yau manifolds, topological string theory partition functions give a class of exact F-terms in the four-dimensional effective action. We point out that in the background of constant self-dual field strength, these terms deform the central charges for D-branes wrapping Calabi-Yau manifold to include string loop corrections. We study the corresponding loop corrected D-brane stability conditions, which for B-type branes at the large volume limit implies loop corrected Hermitian-Yang-Mills equation, and for A-type branes imply loop corrected special Lagrangian submanifold condition. |
hep-th/9408096 | Shogo Tanimura | Shogo Tanimura | Topology and quantization of abelian sigma model in (1+1) dimensions | Latex 13 pages, Nagoya University DPNU-94-35, Contributed to Yamada
Conference (XXth International Colloquium on Group Theoretical Methods in
Physics; July 1994 at Toyonaka in Japan) | Phys.Lett. B340 (1994) 57-62 | 10.1016/0370-2693(94)91297-1 | null | hep-th | null | It is known that there exist an infinite number of inequivalent quantizations
on a topologically nontrivial manifold even if it is a finite-dimensional
manifold. In this paper we consider the abelian sigma model in (1+1) dimensions
to explore a system having infinite degrees of freedom. The model has a field
variable $ \phi : S^1 \to S^1 $. An algebra of the quantum field is defined
respecting the topological aspect of this model. A central extension of the
algebra is also introduced. It is shown that there exist an infinite number of
unitary inequivalent representations, which are characterized by a central
extension and a continuous parameter $ \alpha $ $ ( 0 \le \alpha < 1 ) $. When
the central extension exists, the winding operator and the zero-mode momentum
obey a nontrivial commutator.
| [
{
"created": "Wed, 17 Aug 1994 09:24:36 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Tanimura",
"Shogo",
""
]
] | It is known that there exist an infinite number of inequivalent quantizations on a topologically nontrivial manifold even if it is a finite-dimensional manifold. In this paper we consider the abelian sigma model in (1+1) dimensions to explore a system having infinite degrees of freedom. The model has a field variable $ \phi : S^1 \to S^1 $. An algebra of the quantum field is defined respecting the topological aspect of this model. A central extension of the algebra is also introduced. It is shown that there exist an infinite number of unitary inequivalent representations, which are characterized by a central extension and a continuous parameter $ \alpha $ $ ( 0 \le \alpha < 1 ) $. When the central extension exists, the winding operator and the zero-mode momentum obey a nontrivial commutator. |
1904.06603 | Eric D'Hoker | Eric D'Hoker and M.B. Green | Absence of irreducible multiple zeta-values in melon modular graph
functions | 8 pages, various clarifications added in version 2 | null | null | DAMTP-2019-16 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The expansion of a modular graph function on a torus of modulus $\tau$ near
the cusp is given by a Laurent polynomial in $y= \pi \Im (\tau)$ with
coefficients that are rational multiples of single-valued multiple zeta-values,
apart from the leading term whose coefficient is rational and exponentially
suppressed terms. We prove that the coefficients of the non-leading terms in
the Laurent polynomial of the modular graph function $D_N(\tau)$ associated
with a melon graph is free of irreducible multiple zeta-values and can be
written as a polynomial in odd zeta-values with rational coefficients for
arbitrary $N \geq 0$. The proof proceeds by expressing a generating function
for $D_N(\tau)$ in terms of an integral over the Virasoro-Shapiro closed-string
tree amplitude.
| [
{
"created": "Sat, 13 Apr 2019 23:35:29 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 17:54:37 GMT",
"version": "v2"
}
] | 2020-02-06 | [
[
"D'Hoker",
"Eric",
""
],
[
"Green",
"M. B.",
""
]
] | The expansion of a modular graph function on a torus of modulus $\tau$ near the cusp is given by a Laurent polynomial in $y= \pi \Im (\tau)$ with coefficients that are rational multiples of single-valued multiple zeta-values, apart from the leading term whose coefficient is rational and exponentially suppressed terms. We prove that the coefficients of the non-leading terms in the Laurent polynomial of the modular graph function $D_N(\tau)$ associated with a melon graph is free of irreducible multiple zeta-values and can be written as a polynomial in odd zeta-values with rational coefficients for arbitrary $N \geq 0$. The proof proceeds by expressing a generating function for $D_N(\tau)$ in terms of an integral over the Virasoro-Shapiro closed-string tree amplitude. |
hep-th/0505173 | Luka Sustersic | Marijan Ribaric and Luka Sustersic | Perturbative S-matrices with non-provisional regularization | null | null | null | null | hep-th | null | Computing a perturbative S-matrix through Feynman series in quantum field
theory, the regularization used does not affect the final result. We propose a
new approach to construction of the perturbative S-matrices, so that they will
depend on parameters of a realistic regularization--realistic in the sense of
Pauli and Villars [Rev. Mod. Phys. 21, 434 (1949)]. We expect that these
additional parameters may provide some new information about the physics of
quantum scattering. There are such perturbative S-matrices also in the presence
of non-renormalizable interaction terms with no counterterms.
| [
{
"created": "Thu, 19 May 2005 11:19:28 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Aug 2005 06:51:04 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ribaric",
"Marijan",
""
],
[
"Sustersic",
"Luka",
""
]
] | Computing a perturbative S-matrix through Feynman series in quantum field theory, the regularization used does not affect the final result. We propose a new approach to construction of the perturbative S-matrices, so that they will depend on parameters of a realistic regularization--realistic in the sense of Pauli and Villars [Rev. Mod. Phys. 21, 434 (1949)]. We expect that these additional parameters may provide some new information about the physics of quantum scattering. There are such perturbative S-matrices also in the presence of non-renormalizable interaction terms with no counterterms. |
hep-th/0501154 | Zachary Guralnik | Zachary Guralnik, Stefano Kovacs, Bogdan Kulik | AdS/CFT Duality and the Higgs Branch of ${\cal N}=2$ SYM | 8 pages. Talk given by Z.G. at 37th International Symposium
Ahrenshoop on the Theory of Elementary Particles | Fortsch.Phys. 53 (2005) 480-485 | 10.1002/prop.200510207 | null | hep-th | null | We construct the AdS description of the Higgs branch of the finite {\cal N}=2
Sp(N) gauge theory with one antisymmetric hypermultiplet and four fundamental
hypermultiplets. Holography, combined with the non-renormalization of the
metric on the Higgs branch, leads to novel constraints on unknown terms in the
non-abelian Dirac-Born-Infeld action. These terms include non-minimal couplings
of D-branes to bulk supergravity fields.
| [
{
"created": "Wed, 19 Jan 2005 20:22:16 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Guralnik",
"Zachary",
""
],
[
"Kovacs",
"Stefano",
""
],
[
"Kulik",
"Bogdan",
""
]
] | We construct the AdS description of the Higgs branch of the finite {\cal N}=2 Sp(N) gauge theory with one antisymmetric hypermultiplet and four fundamental hypermultiplets. Holography, combined with the non-renormalization of the metric on the Higgs branch, leads to novel constraints on unknown terms in the non-abelian Dirac-Born-Infeld action. These terms include non-minimal couplings of D-branes to bulk supergravity fields. |
1908.07177 | Hiroyuki Hata | Hiroyuki Hata | Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory | 21 pages, no figures | null | null | KUNS-2769 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous paper [arXiv:1901.01681], we presented an analytic construction
of multi-brane solutions in cubic open string field theory (CSFT) for any
integer brane number. Our $(N+1)$-brane solution is given in the pure-gauge
form $\Psi=U Q_\textrm{B}U^{-1}$ in terms of a unitary string field $U$ which
is specified by $[N/2]$ independent real parameters $\alpha_k$. We saw that,
for various sample values of $N$ $(=2, 3, 4, 5,\cdots)$, $\alpha_k$ can be
consistently determined by two requirements: The energy density from the action
should reproduce that of $(N+1)$-branes, and the EOM of the solution against
the solution itself should hold. In this paper, we complete our construction by
determining $\alpha_k$ satisfying the two requirements for a generic $N$. We
find that each $\alpha_k$ is given in a closed form by using the Bernoulli
numbers. We also present some supplementary results on our solution; the energy
density of the solutions determined from its gravitational coupling, and the
unitary string field $U$ as an exponential function.
| [
{
"created": "Tue, 20 Aug 2019 06:05:24 GMT",
"version": "v1"
}
] | 2019-08-21 | [
[
"Hata",
"Hiroyuki",
""
]
] | In a previous paper [arXiv:1901.01681], we presented an analytic construction of multi-brane solutions in cubic open string field theory (CSFT) for any integer brane number. Our $(N+1)$-brane solution is given in the pure-gauge form $\Psi=U Q_\textrm{B}U^{-1}$ in terms of a unitary string field $U$ which is specified by $[N/2]$ independent real parameters $\alpha_k$. We saw that, for various sample values of $N$ $(=2, 3, 4, 5,\cdots)$, $\alpha_k$ can be consistently determined by two requirements: The energy density from the action should reproduce that of $(N+1)$-branes, and the EOM of the solution against the solution itself should hold. In this paper, we complete our construction by determining $\alpha_k$ satisfying the two requirements for a generic $N$. We find that each $\alpha_k$ is given in a closed form by using the Bernoulli numbers. We also present some supplementary results on our solution; the energy density of the solutions determined from its gravitational coupling, and the unitary string field $U$ as an exponential function. |
hep-th/9404147 | null | Hiromichi Nakazato, Mikio Namiki, Saverio Pascazio | Exponential behavior of a quantum system in a macroscopic medium | 8 pages, report BA-TH/94-170 | Phys.Rev.Lett. 73 (1994) 1063-1066 | 10.1103/PhysRevLett.73.1063 | null | hep-th | null | An exponential behavior at all times is derived for a solvable dynamical
model in the weak-coupling, macroscopic limit. Some implications for the
quantum measurement problem are discussed, in particular in connection with
dissipation.
| [
{
"created": "Sat, 23 Apr 1994 11:17:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Nakazato",
"Hiromichi",
""
],
[
"Namiki",
"Mikio",
""
],
[
"Pascazio",
"Saverio",
""
]
] | An exponential behavior at all times is derived for a solvable dynamical model in the weak-coupling, macroscopic limit. Some implications for the quantum measurement problem are discussed, in particular in connection with dissipation. |
1010.4645 | Alexander Tarakanov N | A. N. Tarakanov | Generalized Dynamics of the Mass Point with Internal Degrees of Freedom | Talk presented at 15-th International Conference and School
"Foundation & Advances in Nonlinear Science", September 20-23, 2010 (Minsk,
Belarus) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An equation of motion of the mass point with internal degrees of freedom in
scalar potential $U$ depending on relative coordinates and time, velocity and
accelerations is obtained both for non-relativistic and relativistic case. In
non-relativistic case a generalization of the energy conservation law follows,
if $\partial U / \partial t = 0$ fulfilled. A concept of work is generalized to
relativistic case, leading to corresponding integral of motion, if $\partial U
/ \partial \tau = 0$ fulfilled, where $\tau$ is proper time of the point. In
neglecting an internal degrees of freedom and absence of interaction this
integral of motion gives standard Special Relativity.
| [
{
"created": "Fri, 22 Oct 2010 08:57:59 GMT",
"version": "v1"
}
] | 2010-10-25 | [
[
"Tarakanov",
"A. N.",
""
]
] | An equation of motion of the mass point with internal degrees of freedom in scalar potential $U$ depending on relative coordinates and time, velocity and accelerations is obtained both for non-relativistic and relativistic case. In non-relativistic case a generalization of the energy conservation law follows, if $\partial U / \partial t = 0$ fulfilled. A concept of work is generalized to relativistic case, leading to corresponding integral of motion, if $\partial U / \partial \tau = 0$ fulfilled, where $\tau$ is proper time of the point. In neglecting an internal degrees of freedom and absence of interaction this integral of motion gives standard Special Relativity. |
hep-th/9602039 | Sekretariat Phil. weg16 | Christof Wetterich | Systematic Resummed Perturbation Theory | 11 pages, LaTeX | Mod.Phys.Lett. A11 (1996) 2573-2584 | 10.1142/S0217732396002587 | HD-THEP-96-2 | hep-th | null | A systematic loop expansion is formulated in terms of full propagators and
vertices. It is based on an expansion of the general solution of an exact
non-perturbative flow equation.
| [
{
"created": "Thu, 8 Feb 1996 12:10:34 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Wetterich",
"Christof",
""
]
] | A systematic loop expansion is formulated in terms of full propagators and vertices. It is based on an expansion of the general solution of an exact non-perturbative flow equation. |
1307.3985 | Gian Paolo Vacca | J. Bartels and G. P. Vacca | Generalized Bootstrap Equations and possible implications for the NLO
Odderon | 20 pages, latex, 11 figures, Comments added, To appear on EPJC | null | 10.1140/epjc/s10052-013-2602-8 | DESY-13-126 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate and discuss generalized bootstrap equations in nonabelian gauge
theories. They are shown to hold in the leading logarithmic approximation.
Since their validity is related to the self-consistency of the Steinmann
relations for inelastic production amplitudes they can be expected to be valid
also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of
these generalized bootstrap equations allows to find the NLO Odderon solution
with intercept exactly at one, a result which is valid also for the planar
limit of QCD.
| [
{
"created": "Mon, 15 Jul 2013 15:11:22 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2013 14:27:50 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Bartels",
"J.",
""
],
[
"Vacca",
"G. P.",
""
]
] | We formulate and discuss generalized bootstrap equations in nonabelian gauge theories. They are shown to hold in the leading logarithmic approximation. Since their validity is related to the self-consistency of the Steinmann relations for inelastic production amplitudes they can be expected to be valid also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of these generalized bootstrap equations allows to find the NLO Odderon solution with intercept exactly at one, a result which is valid also for the planar limit of QCD. |
2306.17232 | Can Onur Akyuz | Can Onur Akyuz, Garrett Goon, Riccardo Penco | The Schwinger-Keldysh Coset Construction | 38 pages, 1 figure, 1 table; v2: matches published version | null | null | null | hep-th cond-mat.other cond-mat.stat-mech cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | The coset construction is a tool for systematically building low energy
effective actions for Nambu-Goldstone modes. This technique is typically used
to compute time-ordered correlators appropriate for $S$-matrix computations for
systems in their ground state. In this paper, we extend this technique to the
Schwinger-Keldysh formalism, which enables one to calculate a wider variety of
correlators and applies also to systems in a mixed state. We focus our
attention on internal symmetries and demonstrate that, after identifying the
appropriate symmetry breaking pattern, Schwinger-Keldysh effective actions for
Nambu-Goldstone modes can be constructed using the standard rules of the coset
construction. Particular emphasis is placed on the thermal state and ensuring
that correlators satisfy the KMS relation. We also discuss explicitly the power
counting scheme underlying our effective actions. We comment on the
similarities and differences between our approach and others that have
previously appeared in the literature. In particular, our prescription does not
require the introduction of additional ``diffusive'' symmetries and retains the
full non-linear structure generated by the coset construction. We conclude with
a series of explicit examples, including a computation of the
finite-temperature two-point functions of conserved spin currents in
non-relativistic paramagnets, antiferromagnets, and ferromagnets. Along the
way, we also clarify the discrete symmetries that set antiferromagnets apart
from ferromagnets, and point out that the dynamical KMS symmetry must be
implemented in different ways in these two systems.
| [
{
"created": "Thu, 29 Jun 2023 18:01:08 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 2024 19:09:00 GMT",
"version": "v2"
}
] | 2024-06-04 | [
[
"Akyuz",
"Can Onur",
""
],
[
"Goon",
"Garrett",
""
],
[
"Penco",
"Riccardo",
""
]
] | The coset construction is a tool for systematically building low energy effective actions for Nambu-Goldstone modes. This technique is typically used to compute time-ordered correlators appropriate for $S$-matrix computations for systems in their ground state. In this paper, we extend this technique to the Schwinger-Keldysh formalism, which enables one to calculate a wider variety of correlators and applies also to systems in a mixed state. We focus our attention on internal symmetries and demonstrate that, after identifying the appropriate symmetry breaking pattern, Schwinger-Keldysh effective actions for Nambu-Goldstone modes can be constructed using the standard rules of the coset construction. Particular emphasis is placed on the thermal state and ensuring that correlators satisfy the KMS relation. We also discuss explicitly the power counting scheme underlying our effective actions. We comment on the similarities and differences between our approach and others that have previously appeared in the literature. In particular, our prescription does not require the introduction of additional ``diffusive'' symmetries and retains the full non-linear structure generated by the coset construction. We conclude with a series of explicit examples, including a computation of the finite-temperature two-point functions of conserved spin currents in non-relativistic paramagnets, antiferromagnets, and ferromagnets. Along the way, we also clarify the discrete symmetries that set antiferromagnets apart from ferromagnets, and point out that the dynamical KMS symmetry must be implemented in different ways in these two systems. |
2002.02083 | Roberto Emparan | Roberto Emparan, Marija Toma\v{s}evi\'c | Strong cosmic censorship in the BTZ black hole | 9 pages. v2: minor changes. Matches published version | JHEP 06 (2020) 038 | 10.1007/JHEP06(2020)038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently it has been shown that quantum fields can be regular on the inner,
Cauchy horizon of a rotating BTZ black hole, which appears to indicate a
failure of strong cosmic censorship. We argue that, instead, what these results
imply is that the inner horizon remains non-singular when leading-order
backreaction of the quantum fields is computed, but, after next-order
backreaction is accounted for, it will become singular. Then, strong cosmic
censorship will be enforced in the BTZ black hole. We support our claims using
a four-dimensional holographic dual of the system, which connects the
instability of the inner horizon of the BTZ black hole to that of Kerr-type
black holes.
| [
{
"created": "Thu, 6 Feb 2020 03:20:23 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 20:56:13 GMT",
"version": "v2"
}
] | 2022-03-07 | [
[
"Emparan",
"Roberto",
""
],
[
"Tomašević",
"Marija",
""
]
] | Recently it has been shown that quantum fields can be regular on the inner, Cauchy horizon of a rotating BTZ black hole, which appears to indicate a failure of strong cosmic censorship. We argue that, instead, what these results imply is that the inner horizon remains non-singular when leading-order backreaction of the quantum fields is computed, but, after next-order backreaction is accounted for, it will become singular. Then, strong cosmic censorship will be enforced in the BTZ black hole. We support our claims using a four-dimensional holographic dual of the system, which connects the instability of the inner horizon of the BTZ black hole to that of Kerr-type black holes. |
hep-th/9304022 | null | Mihai Visinescu (Department of Theoretical Physics, Institute of
Atomic Physics, P.O.Box MG-6, Magurele,Bucharest,Romania) | The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons | 12 pages, PLAIN-TEX | Z.Phys. C60 (1993) 337-342 | 10.1007/BF01474631 | null | hep-th gr-qc | null | A class of generalized Taub-NUT gravitational instantons is reported in five
- dimensional Einstein gravity coupled to a non-linear sigma model. The
geodesic dynamics of a spinless particle of unit mass on these static
gravitational instantons is studied. This is accomplished by finding a
generalized Runge-Lenz vector. Unlike the Kepler problem, or, the dynamics of a
spinless particle on the familiar Taub-NUT gravitational instantons, the orbits
are not conic sections.
| [
{
"created": "Wed, 7 Apr 1993 08:22:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Visinescu",
"Mihai",
"",
"Department of Theoretical Physics, Institute of\n Atomic Physics, P.O.Box MG-6, Magurele,Bucharest,Romania"
]
] | A class of generalized Taub-NUT gravitational instantons is reported in five - dimensional Einstein gravity coupled to a non-linear sigma model. The geodesic dynamics of a spinless particle of unit mass on these static gravitational instantons is studied. This is accomplished by finding a generalized Runge-Lenz vector. Unlike the Kepler problem, or, the dynamics of a spinless particle on the familiar Taub-NUT gravitational instantons, the orbits are not conic sections. |
2203.00700 | Andrew Svesko | Andrew Svesko, Evita Verheijden, Erik P. Verlinde, and Manus R. Visser | Quasi-local energy and microcanonical entropy in two-dimensional nearly
de Sitter gravity | 48 pages + 4 appendices, 13 figures; minor comments added v2, JHEP
version | null | 10.1007/JHEP08(2022)075 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the semi-classical thermodynamics of two-dimensional de Sitter space
($\text{dS}_{2}$) in Jackiw-Teitelboim (JT) gravity coupled to conformal
matter. We extend the quasi-local formalism of Brown and York to
$\text{dS}_{2}$, where a timelike boundary is introduced in the static patch to
uniquely define conserved charges, including quasi-local energy. The boundary
divides the static patch into two systems, a cosmological system and a black
hole system, the former being unstable under thermal fluctuations while the
latter is stable. A semi-classical quasi-local first law is derived, where the
Gibbons--Hawking entropy is replaced by the generalized entropy. In the
microcanonical ensemble the generalized entropy is stationary. Further, we show
the on-shell Euclidean microcanonical action of a causal diamond in
semi-classical JT gravity equals minus the generalized entropy of the diamond,
hence extremization of the entropy follows from minimizing the action. Thus, we
provide a first principles derivation of the island rule for $U(1)$ symmetric
$\text{dS}_{2}$ backgrounds, without invoking the replica trick. We discuss the
implications of our findings for static patch de Sitter holography.
| [
{
"created": "Tue, 1 Mar 2022 19:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2022 12:19:50 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jul 2022 09:29:54 GMT",
"version": "v3"
}
] | 2022-08-24 | [
[
"Svesko",
"Andrew",
""
],
[
"Verheijden",
"Evita",
""
],
[
"Verlinde",
"Erik P.",
""
],
[
"Visser",
"Manus R.",
""
]
] | We study the semi-classical thermodynamics of two-dimensional de Sitter space ($\text{dS}_{2}$) in Jackiw-Teitelboim (JT) gravity coupled to conformal matter. We extend the quasi-local formalism of Brown and York to $\text{dS}_{2}$, where a timelike boundary is introduced in the static patch to uniquely define conserved charges, including quasi-local energy. The boundary divides the static patch into two systems, a cosmological system and a black hole system, the former being unstable under thermal fluctuations while the latter is stable. A semi-classical quasi-local first law is derived, where the Gibbons--Hawking entropy is replaced by the generalized entropy. In the microcanonical ensemble the generalized entropy is stationary. Further, we show the on-shell Euclidean microcanonical action of a causal diamond in semi-classical JT gravity equals minus the generalized entropy of the diamond, hence extremization of the entropy follows from minimizing the action. Thus, we provide a first principles derivation of the island rule for $U(1)$ symmetric $\text{dS}_{2}$ backgrounds, without invoking the replica trick. We discuss the implications of our findings for static patch de Sitter holography. |
2303.08534 | Keith R. Dienes | Steven Abel, Keith R. Dienes, Luca A. Nutricati | On the Running of Gauge Couplings in String Theory | 37 pages, LaTeX, 5 figures | null | 10.1103/PhysRevD.107.126019 | CERN-TH-2023-044, IPPP/23/16 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we conduct a general, model-independent analysis of the running
of gauge couplings within closed string theories. Unlike previous discussions
in the literature, our calculations fully respect the underlying modular
invariance of the string and include the contributions from the infinite towers
of string states which are ultimately responsible for many of the properties
for which string theory is famous, including an enhanced degree of finiteness
and UV/IR mixing. In order to perform our calculations, we adopt a formalism
that was recently developed for calculations of the Higgs mass within such
theories, and demonstrate that this formalism can also be applied to
calculations of gauge couplings. In general, this formalism gives rise to an
``on-shell'' effective field theory (EFT) description in which the final
results are expressed in terms of supertraces over the physical string states,
and in which these quantities exhibit an EFT-like ``running'' as a function of
an effective spacetime mass scale. We find, however, that the calculation of
the gauge couplings differs in one deep way from that of the Higgs mass: while
the latter results depend on purely on-shell supertraces, the former results
have a different modular structure which causes them to depend on off-shell
supertraces as well. In some regions of parameter space, our results
demonstrate how certain expected field-theoretic behaviors can emerge from the
highly UV/IR-mixed environment. In other situations, by contrast, our results
give rise to a number of intrinsically stringy behaviors that transcend what
might be expected within an effective field theory approach.
| [
{
"created": "Wed, 15 Mar 2023 11:27:01 GMT",
"version": "v1"
}
] | 2023-07-05 | [
[
"Abel",
"Steven",
""
],
[
"Dienes",
"Keith R.",
""
],
[
"Nutricati",
"Luca A.",
""
]
] | In this paper we conduct a general, model-independent analysis of the running of gauge couplings within closed string theories. Unlike previous discussions in the literature, our calculations fully respect the underlying modular invariance of the string and include the contributions from the infinite towers of string states which are ultimately responsible for many of the properties for which string theory is famous, including an enhanced degree of finiteness and UV/IR mixing. In order to perform our calculations, we adopt a formalism that was recently developed for calculations of the Higgs mass within such theories, and demonstrate that this formalism can also be applied to calculations of gauge couplings. In general, this formalism gives rise to an ``on-shell'' effective field theory (EFT) description in which the final results are expressed in terms of supertraces over the physical string states, and in which these quantities exhibit an EFT-like ``running'' as a function of an effective spacetime mass scale. We find, however, that the calculation of the gauge couplings differs in one deep way from that of the Higgs mass: while the latter results depend on purely on-shell supertraces, the former results have a different modular structure which causes them to depend on off-shell supertraces as well. In some regions of parameter space, our results demonstrate how certain expected field-theoretic behaviors can emerge from the highly UV/IR-mixed environment. In other situations, by contrast, our results give rise to a number of intrinsically stringy behaviors that transcend what might be expected within an effective field theory approach. |
2312.02286 | Dimitrios Toulikas | Iosif Bena, Anthony Houppe, Dimitrios Toulikas, Nicholas P. Warner | Maze Topiary in Supergravity | 45 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the supergravity solutions for 1/4-BPS intersecting systems of
M2 and M5 branes are completely characterized by a single ``maze'' function
that satisfies a non-linear ``maze'' equation similar to the Monge-Amp\`ere
equation. We also show that the near-brane limit of certain intersections are
$AdS_3 \times S^3 \times S^3$ solutions warped over a Riemann surface,
$\Sigma$. There is an extensive literature on these subjects and we construct
mappings between various approaches and use brane probes to elucidate the
relationships between the M2-M5 and AdS systems. We also use dualities to map
our results onto other systems of intersecting branes. This work is motivated
by the recent realization that adding momentum to M2-M5 intersections gives a
supermaze that can reproduce the black-hole entropy without ever developing an
event horizon. We take a step in this direction by adding a certain type of
momentum charges that blackens the M2-M5 intersecting branes. The near-brane
limit of these solutions is a BTZ$^{extremal} \times S^3 \times S^3 \times
\Sigma$ geometry in which the BTZ momentum is a function of the Riemann surface
coordinates.
| [
{
"created": "Mon, 4 Dec 2023 19:04:31 GMT",
"version": "v1"
}
] | 2023-12-06 | [
[
"Bena",
"Iosif",
""
],
[
"Houppe",
"Anthony",
""
],
[
"Toulikas",
"Dimitrios",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We show that the supergravity solutions for 1/4-BPS intersecting systems of M2 and M5 branes are completely characterized by a single ``maze'' function that satisfies a non-linear ``maze'' equation similar to the Monge-Amp\`ere equation. We also show that the near-brane limit of certain intersections are $AdS_3 \times S^3 \times S^3$ solutions warped over a Riemann surface, $\Sigma$. There is an extensive literature on these subjects and we construct mappings between various approaches and use brane probes to elucidate the relationships between the M2-M5 and AdS systems. We also use dualities to map our results onto other systems of intersecting branes. This work is motivated by the recent realization that adding momentum to M2-M5 intersections gives a supermaze that can reproduce the black-hole entropy without ever developing an event horizon. We take a step in this direction by adding a certain type of momentum charges that blackens the M2-M5 intersecting branes. The near-brane limit of these solutions is a BTZ$^{extremal} \times S^3 \times S^3 \times \Sigma$ geometry in which the BTZ momentum is a function of the Riemann surface coordinates. |
1110.5325 | Gonzalo Torroba | Sarah Harrison, Shamit Kachru, Gonzalo Torroba | A maximally supersymmetric Kondo model | 46 pages, 2 figures. Minor typos corrected | null | 10.1088/0264-9381/29/19/194005 | SU-ITP-11/49; SLAC-PUB-14648 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the maximally supersymmetric Kondo model obtained by adding a
fermionic impurity to N=4 supersymmetric Yang-Mills theory. While the original
Kondo problem describes a defect interacting with a free Fermi liquid of
itinerant electrons, here the ambient theory is an interacting CFT, and this
introduces qualitatively new features into the system. The model arises in
string theory by considering the intersection of a stack of M D5-branes with a
stack of N D3-branes, at a point in the D3 worldvolume. We analyze the theory
holographically, and propose a dictionary between the Kondo problem and
antisymmetric Wilson loops in N=4 SYM. We perform an explicit calculation of
the D5 fluctuations in the D3 geometry and determine the spectrum of defect
operators. This establishes the stability of the Kondo fixed point together
with its basic thermodynamic properties. Known supergravity solutions for
Wilson loops allow us to go beyond the probe approximation: the D5s disappear
and are replaced by three-form flux piercing a new topologically non-trivial
three-sphere in the corrected geometry. This describes the Kondo model in terms
of a geometric transition. A dual matrix model reflects the basic properties of
the corrected gravity solution in its eigenvalue distribution.
| [
{
"created": "Mon, 24 Oct 2011 20:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2012 19:42:36 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Harrison",
"Sarah",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Torroba",
"Gonzalo",
""
]
] | We study the maximally supersymmetric Kondo model obtained by adding a fermionic impurity to N=4 supersymmetric Yang-Mills theory. While the original Kondo problem describes a defect interacting with a free Fermi liquid of itinerant electrons, here the ambient theory is an interacting CFT, and this introduces qualitatively new features into the system. The model arises in string theory by considering the intersection of a stack of M D5-branes with a stack of N D3-branes, at a point in the D3 worldvolume. We analyze the theory holographically, and propose a dictionary between the Kondo problem and antisymmetric Wilson loops in N=4 SYM. We perform an explicit calculation of the D5 fluctuations in the D3 geometry and determine the spectrum of defect operators. This establishes the stability of the Kondo fixed point together with its basic thermodynamic properties. Known supergravity solutions for Wilson loops allow us to go beyond the probe approximation: the D5s disappear and are replaced by three-form flux piercing a new topologically non-trivial three-sphere in the corrected geometry. This describes the Kondo model in terms of a geometric transition. A dual matrix model reflects the basic properties of the corrected gravity solution in its eigenvalue distribution. |
1608.05128 | Keshav Dasgupta | Keshav Dasgupta, Veronica Errasti Diez, P. Ramadevi, Radu Tatar | Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions,
and the Surface Operators | 153 pages, 15 pdf figures, LaTex. v2: Minor corrections to section
2.2; v3: Some typos corrected, references updated and a new section added.
Final version to appear in Physical Review D | Phys. Rev. D 95, 026010 (2017) | 10.1103/PhysRevD.95.026010 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Witten introduced a type IIB brane construction with certain
boundary conditions to study knot invariants and Khovanov homology. The
essential ingredients used in his work are the topologically twisted N = 4
Yang-Mills theory, localization equations and surface operators. In this paper
we extend his construction in two possible ways. On one hand we show that a
slight modification of Witten's brane construction could lead, using certain
well defined duality transformations, to the model used by Ooguri-Vafa to study
knot invariants using gravity duals. On the other hand, we argue that both
these constructions, of Witten and of Ooguri-Vafa, lead to two different
seven-dimensional manifolds in M-theory from where the topological theories may
appear from certain twisting of the G-flux action. The non-abelian nature of
the topological action may also be studied if we take the wrapped M2-brane
states in the theory. We discuss explicit constructions of the
seven-dimensional manifolds in M-theory, and show that both the localization
equations and surface operators appear naturally from the Hamiltonian formalism
of the theories. Knots and link invariants are then constructed using M2-brane
states in both the models.
| [
{
"created": "Wed, 17 Aug 2016 23:32:05 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Aug 2016 02:05:31 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2016 06:35:35 GMT",
"version": "v3"
}
] | 2017-01-18 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Diez",
"Veronica Errasti",
""
],
[
"Ramadevi",
"P.",
""
],
[
"Tatar",
"Radu",
""
]
] | Recently Witten introduced a type IIB brane construction with certain boundary conditions to study knot invariants and Khovanov homology. The essential ingredients used in his work are the topologically twisted N = 4 Yang-Mills theory, localization equations and surface operators. In this paper we extend his construction in two possible ways. On one hand we show that a slight modification of Witten's brane construction could lead, using certain well defined duality transformations, to the model used by Ooguri-Vafa to study knot invariants using gravity duals. On the other hand, we argue that both these constructions, of Witten and of Ooguri-Vafa, lead to two different seven-dimensional manifolds in M-theory from where the topological theories may appear from certain twisting of the G-flux action. The non-abelian nature of the topological action may also be studied if we take the wrapped M2-brane states in the theory. We discuss explicit constructions of the seven-dimensional manifolds in M-theory, and show that both the localization equations and surface operators appear naturally from the Hamiltonian formalism of the theories. Knots and link invariants are then constructed using M2-brane states in both the models. |
1810.12674 | Michal Pazderka | Klaus Bering and Michal Pazderka | 6D dual superconformal algebra | 26 pages, LaTeX. v2, v3, v4, v5, v6: Minor corrections, references
added, section VIII added; v7: published version | J. Phys. A: Math. Theor. 53 (2020) 275402 | 10.1088/1751-8121/ab8ff6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct and study the 6D dual superconformal algebra. Our construction
is inspired by the dual superconformal symmetry of massless 4D $\mathcal{N}=4$
SYM and extends the previous construction of the enhanced dual conformal
algebra for 6D $\mathcal{N}=(1,1)$ SYM to the full 6D dual superconformal
algebra for chiral theories. We formulate constraints in 6D spinor helicity
formalism and find all generators of the 6D dual superconformal algebra. Next
we check that they agree with the dual superconformal generators of known 3D
and 4D theories. We show that it is possible to significantly simplify the form
of generators and compactly write the dual superconformal algebra using
superindices. Finally, we work out some examples of algebra invariants.
| [
{
"created": "Tue, 30 Oct 2018 11:34:37 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2018 17:13:19 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Dec 2018 12:48:14 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Feb 2019 13:46:22 GMT",
"version": "v4"
},
{
"created": "Thu, 14 Mar 2019 06:41:21 GMT",
"version": "v5"
},
{
"created": "Fri, 29 Nov 2019 10:18:24 GMT",
"version": "v6"
},
{
"created": "Mon, 22 Jun 2020 12:56:36 GMT",
"version": "v7"
}
] | 2020-06-23 | [
[
"Bering",
"Klaus",
""
],
[
"Pazderka",
"Michal",
""
]
] | We construct and study the 6D dual superconformal algebra. Our construction is inspired by the dual superconformal symmetry of massless 4D $\mathcal{N}=4$ SYM and extends the previous construction of the enhanced dual conformal algebra for 6D $\mathcal{N}=(1,1)$ SYM to the full 6D dual superconformal algebra for chiral theories. We formulate constraints in 6D spinor helicity formalism and find all generators of the 6D dual superconformal algebra. Next we check that they agree with the dual superconformal generators of known 3D and 4D theories. We show that it is possible to significantly simplify the form of generators and compactly write the dual superconformal algebra using superindices. Finally, we work out some examples of algebra invariants. |
hep-th/9905058 | Sheng Li | Sheng Li | The Topological Structure of Nieh-Yan Form and Chiral Anomaly in Spaces
with Torsion | Revtex, 12 pages | J.Phys.A32:7153-7162,1999 | 10.1088/0305-4470/32/41/309 | null | hep-th | null | The topological structure of the Nieh-Yan form in 4-dimensional manifold is
given by making use of the decomposition of spin connection. The case of the
generalized Nieh-Yan form on $2^d$-dimensional manifold is discussed with an
example of 8-dimensional case studied in detail. The chiral anomaly with
nonvanishing torsion is studied also. The further contributions from torsional
part to chiral anomaly are found coming from the zeroes of some fields under
pure gauge condition.
| [
{
"created": "Sun, 9 May 1999 11:18:09 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 1999 11:00:46 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Oct 1999 03:06:33 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Li",
"Sheng",
""
]
] | The topological structure of the Nieh-Yan form in 4-dimensional manifold is given by making use of the decomposition of spin connection. The case of the generalized Nieh-Yan form on $2^d$-dimensional manifold is discussed with an example of 8-dimensional case studied in detail. The chiral anomaly with nonvanishing torsion is studied also. The further contributions from torsional part to chiral anomaly are found coming from the zeroes of some fields under pure gauge condition. |
hep-th/0310300 | Burkhard Kleihaus | B. Kleihaus, J. Kunz and K. Myklevoll | Platonic Sphalerons | 10 pages, including 2 figures, LaTex format | Phys.Lett. B582 (2004) 187-195 | 10.1016/j.physletb.2003.12.036 | null | hep-th hep-ph | null | We construct sphaleron solutions in Weinberg-Salam theory, which possess only
discrete symmetries. Related to rational maps of degree N, these sphalerons
carry baryon number Q_B=N/2. The energy density of these sphalerons reflects
their discrete symmetries. We present an N=3 sphaleron with tetrahedral energy
density, an N=4 sphaleron with cubic energy density, and an N=5 sphaleron with
octahedral energy density.
| [
{
"created": "Fri, 31 Oct 2003 17:42:53 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kleihaus",
"B.",
""
],
[
"Kunz",
"J.",
""
],
[
"Myklevoll",
"K.",
""
]
] | We construct sphaleron solutions in Weinberg-Salam theory, which possess only discrete symmetries. Related to rational maps of degree N, these sphalerons carry baryon number Q_B=N/2. The energy density of these sphalerons reflects their discrete symmetries. We present an N=3 sphaleron with tetrahedral energy density, an N=4 sphaleron with cubic energy density, and an N=5 sphaleron with octahedral energy density. |
2002.10807 | Shan Hu | Shan Hu | S-duality and loop operators in canonical formalism | 48 pages, published version | Phys. Rev. D 103, 045010 (2021) | 10.1103/PhysRevD.103.045010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gauge invariant 't Hooft operator in canonical formalism for
Yang-Mills theory as well as the $\mathcal{N} =4 $ super-Yang-Mills theory with
the gauge group $ U(N) $. It is shown that the spectrum of the 't Hooft
operator labeled by the arbitrary irreducible representation of the gauge group
is the same as the spectrum of the Wilson operator labeled by the same
representation. So it is possible to construct a unitary operator $ S $ making
the two kinds of loop operators transformed into each other. S-duality
transformation could be realized by the operator $ S $. We compute the
supersymmetry variations of the loop operators with the fermionic couplings
turned off. The result is consistent with the expectation that the action of $
S $ should make supercharges transform with a $ U(1)_{Y} $ phase.
| [
{
"created": "Tue, 25 Feb 2020 11:52:39 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 2020 13:20:31 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Feb 2021 08:49:07 GMT",
"version": "v3"
}
] | 2021-02-17 | [
[
"Hu",
"Shan",
""
]
] | We study the gauge invariant 't Hooft operator in canonical formalism for Yang-Mills theory as well as the $\mathcal{N} =4 $ super-Yang-Mills theory with the gauge group $ U(N) $. It is shown that the spectrum of the 't Hooft operator labeled by the arbitrary irreducible representation of the gauge group is the same as the spectrum of the Wilson operator labeled by the same representation. So it is possible to construct a unitary operator $ S $ making the two kinds of loop operators transformed into each other. S-duality transformation could be realized by the operator $ S $. We compute the supersymmetry variations of the loop operators with the fermionic couplings turned off. The result is consistent with the expectation that the action of $ S $ should make supercharges transform with a $ U(1)_{Y} $ phase. |
2211.00877 | Yoshiharu Kawamura | Yoshiharu Kawamura, Eiji Kodaira, Kentaro Kojima, Toshifumi Yamashita | On representation matrices of boundary conditions in $SU(n)$ gauge
theories compactified on two-dimensional orbifolds | 58 pages, major parts of derivations are moved into the appendices | null | 10.1007/JHEP04(2023)113 | null | hep-th hep-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We study the existence of diagonal representatives in each equivalence class
of representation matrices of boundary conditions in $SU(n)$ or $U(n)$ gauge
theories compactified on the orbifolds $T^2/{\mathbb Z}_N$ ($N = 2, 3, 4, 6$).
We suppose that the theory has a global $G' = U(n)$ symmetry. Using
constraints, unitary transformations and gauge transformations, we examine
whether the representation matrices can simultaneously become diagonal or not.
We show that at least one diagonal representative necessarily exists in each
equivalence class on $T^2/{\mathbb Z}_2$ and $T^2/{\mathbb Z}_3$, but the
representation matrices on $T^2/{\mathbb Z}_4$ and $T^2/{\mathbb Z}_6$ can
contain not only diagonal matrices but also non-diagonal $2 \times 2$ ones and
non-diagonal $3 \times 3$ and $2 \times 2$ ones, respectively, as members of
block-diagonal submatrices. These non-diagonal matrices have discrete
parameters, which means that the rank-reducing symmetry breaking can be caused
by the discrete Wilson line phases.
| [
{
"created": "Wed, 2 Nov 2022 04:54:36 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Apr 2023 05:42:01 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Kawamura",
"Yoshiharu",
""
],
[
"Kodaira",
"Eiji",
""
],
[
"Kojima",
"Kentaro",
""
],
[
"Yamashita",
"Toshifumi",
""
]
] | We study the existence of diagonal representatives in each equivalence class of representation matrices of boundary conditions in $SU(n)$ or $U(n)$ gauge theories compactified on the orbifolds $T^2/{\mathbb Z}_N$ ($N = 2, 3, 4, 6$). We suppose that the theory has a global $G' = U(n)$ symmetry. Using constraints, unitary transformations and gauge transformations, we examine whether the representation matrices can simultaneously become diagonal or not. We show that at least one diagonal representative necessarily exists in each equivalence class on $T^2/{\mathbb Z}_2$ and $T^2/{\mathbb Z}_3$, but the representation matrices on $T^2/{\mathbb Z}_4$ and $T^2/{\mathbb Z}_6$ can contain not only diagonal matrices but also non-diagonal $2 \times 2$ ones and non-diagonal $3 \times 3$ and $2 \times 2$ ones, respectively, as members of block-diagonal submatrices. These non-diagonal matrices have discrete parameters, which means that the rank-reducing symmetry breaking can be caused by the discrete Wilson line phases. |
1603.06218 | Michael Thies | Michael Thies | Solving the ${\rm U(2)}_L \times {\rm U(2)}_R$ symmetric
Nambu--Jona-Lasinio model in 1+1 dimensions | 15 pages, no figure; v2: Typos corrected, Eqs. (48)-(50) corrected, 1
figure added, 1 reference added, 16 pages; v3: minor changes, references
added, v4: typos in Eqs. 16,73,111 corrected, computations and results
unchanged | null | null | null | hep-th cond-mat.supr-con hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A less well known variant of the Nambu--Jona-Lasinio model with Nc colors and
U(2)L X U(2)R chiral symmetry is studied in 1+1 dimensions. Using
semi-classical methods appropriate for the large Nc limit, we determine the
vacuum manifold, the meson spectrum, massless and massive multi-fermion bound
states and the phase diagram as a function of temperature, chemical potential
and isospin chemical potential. An important tool to understand soliton
dynamics is the generalization of the time-dependent Hartree-Fock approach to
two flavors along the lines recently developed by Takahashi in the context of
unconventional fermionic superfluids and superconductors.
| [
{
"created": "Sun, 20 Mar 2016 14:22:35 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2016 09:01:32 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Aug 2016 07:33:03 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Feb 2021 16:12:37 GMT",
"version": "v4"
}
] | 2021-02-16 | [
[
"Thies",
"Michael",
""
]
] | A less well known variant of the Nambu--Jona-Lasinio model with Nc colors and U(2)L X U(2)R chiral symmetry is studied in 1+1 dimensions. Using semi-classical methods appropriate for the large Nc limit, we determine the vacuum manifold, the meson spectrum, massless and massive multi-fermion bound states and the phase diagram as a function of temperature, chemical potential and isospin chemical potential. An important tool to understand soliton dynamics is the generalization of the time-dependent Hartree-Fock approach to two flavors along the lines recently developed by Takahashi in the context of unconventional fermionic superfluids and superconductors. |
1507.01911 | Lev Spodyneiko | Alexander Belavin, Lev Spodyneiko | N = 2 superconformal algebra in NSR string and Gepner approach to
space-time supersymmetry in ten dimensions | 20 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fermionic NSR string possesses a hidden N = 2 superconformal algebra on
the world-sheet. In this work, we show how to use an isomorphism of this
algebra, the so-called spectral flow, for construction of a subspace of
physical states of the string, on which space-time supersymmetry acts. This
construction is an alternative to the GSO-projection in string theory.
| [
{
"created": "Tue, 7 Jul 2015 18:32:29 GMT",
"version": "v1"
}
] | 2015-07-08 | [
[
"Belavin",
"Alexander",
""
],
[
"Spodyneiko",
"Lev",
""
]
] | The fermionic NSR string possesses a hidden N = 2 superconformal algebra on the world-sheet. In this work, we show how to use an isomorphism of this algebra, the so-called spectral flow, for construction of a subspace of physical states of the string, on which space-time supersymmetry acts. This construction is an alternative to the GSO-projection in string theory. |
hep-th/9409065 | Ovsienko | C.Duval and V.Ovsienko | Space of second order linear differential operators as a module over the
Lie algebra of vector fields | 20 pages, CPT-preprint Marseille | null | null | null | hep-th | null | The space of linear differential operators on a smooth manifold $M$ has a
natural one-parameter family of $Diff(M)$ (and $Vect(M)$)-module structures,
defined by their action on the space of tensor-densities. It is shown that, in
the case of second order differential operators, the $Vect(M)$-module
structures are equivalent for any degree of tensor-densities except for three
critical values: $\{0,{1\over 2},1\}$. Second order analogue of the Lie
derivative appears as an intertwining operator between the spaces of second
order differential operators on tensor-densities.
| [
{
"created": "Mon, 12 Sep 1994 16:27:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Duval",
"C.",
""
],
[
"Ovsienko",
"V.",
""
]
] | The space of linear differential operators on a smooth manifold $M$ has a natural one-parameter family of $Diff(M)$ (and $Vect(M)$)-module structures, defined by their action on the space of tensor-densities. It is shown that, in the case of second order differential operators, the $Vect(M)$-module structures are equivalent for any degree of tensor-densities except for three critical values: $\{0,{1\over 2},1\}$. Second order analogue of the Lie derivative appears as an intertwining operator between the spaces of second order differential operators on tensor-densities. |
0902.2204 | Yu Nakayama | Yu Nakayama, Makoto Sakaguchi and Kentaroh Yoshida | Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra | 25 pages, v2: reference added | JHEP 0904:096,2009 | 10.1088/1126-6708/2009/04/096 | UCB-PTH-09/06, OIQP-09-02, NSF-KITP-09-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study non-relativistic limits of the N=6 Chern-Simons-Matter theory that
arises as a low-energy limit of the M2-brane gauge theory with background flux.
The model admits several different non-relativistic limits and we find that the
maximal supersymmetry we construct has 14 components of supercharges, which is
a novel example of non-relativistic superconformal algebra in (1+2) dimension.
We also investigate the other limits that realize less supersymmetries.
| [
{
"created": "Thu, 12 Feb 2009 19:58:06 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Feb 2009 01:48:57 GMT",
"version": "v2"
}
] | 2009-05-01 | [
[
"Nakayama",
"Yu",
""
],
[
"Sakaguchi",
"Makoto",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We study non-relativistic limits of the N=6 Chern-Simons-Matter theory that arises as a low-energy limit of the M2-brane gauge theory with background flux. The model admits several different non-relativistic limits and we find that the maximal supersymmetry we construct has 14 components of supercharges, which is a novel example of non-relativistic superconformal algebra in (1+2) dimension. We also investigate the other limits that realize less supersymmetries. |
1504.07744 | Khadijeh Jafarzade | Kh. Jafarzade, J. Sadeghi | The Thermodynamic Efficiency in Static and Dynamic Black Holes | null | null | 10.1007/s10773-017-3501-9 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We note that, in extended phase space the cosmological constant is a
thermodynamic variable. In this paper, this cosmological constant lead us to
consider a black hole as a heat engine. So, here we take advantage from
holographic heat engine and study two kind of different black holes. We first
investigate a static black hole (Dyonic BH) and consider the necessary
condition to have high efficiency. Also we continue our investigation for
dynamic black hole (rotating charged black hole) and study the effect of
rotating parameter on the thermodynamic efficiency of holographic heat engine.
We show that the rotating parameter has a more effective role than electric
charge in thermodynamic efficiency.
| [
{
"created": "Wed, 29 Apr 2015 07:34:25 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2015 12:01:36 GMT",
"version": "v2"
},
{
"created": "Sun, 31 May 2015 11:51:38 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Jun 2015 05:11:39 GMT",
"version": "v4"
},
{
"created": "Sun, 28 Feb 2016 07:09:34 GMT",
"version": "v5"
},
{
"created": "Mon, 30 Oct 2017 12:30:42 GMT",
"version": "v6"
}
] | 2017-10-31 | [
[
"Jafarzade",
"Kh.",
""
],
[
"Sadeghi",
"J.",
""
]
] | We note that, in extended phase space the cosmological constant is a thermodynamic variable. In this paper, this cosmological constant lead us to consider a black hole as a heat engine. So, here we take advantage from holographic heat engine and study two kind of different black holes. We first investigate a static black hole (Dyonic BH) and consider the necessary condition to have high efficiency. Also we continue our investigation for dynamic black hole (rotating charged black hole) and study the effect of rotating parameter on the thermodynamic efficiency of holographic heat engine. We show that the rotating parameter has a more effective role than electric charge in thermodynamic efficiency. |
hep-th/0008141 | Ehud Schreiber | Y. Kinar, A. Loewy, E. Schreiber, J. Sonnenschein, S. Yankielowicz | Supergravity and Worldvolume Physics in the Dual Description of $\N=1^*$
Theory | latex, 1+24 pages. v2: references added, some remarks added. v3:
final version | JHEP 0103:013,2001 | 10.1088/1126-6708/2001/03/013 | TAUP-2633-00 | hep-th | null | We look at the string theory dual of the $\N=1^*$ theory, involving
5--branes, which was recently proposed by Polchinski and Strassler
\cite{PolStr}. We argue that SUGRA alone is not enough in order to obtain the
correct screening and confinement behaviour of the various massive field theory
vacua, but that appropriate worldvolume phenomena of the 5--branes must be
included. We therefore work within the SUGRA approximation, also taking into
account the brane dynamics, and classify all the SUGRA configurations. In this
level of analysis, we find multiple valid configurations for every given
vacuum. We discuss some possible resolutions of this perplexing result. We also
consider the spectrum of asymptotic states, and discuss the global symmetries
of the SUGRA solution of the $\N=1^*$ theory and of the $\N=0^*$ theory
obtained from it by explicit supersymmetry breaking.
| [
{
"created": "Thu, 17 Aug 2000 16:32:38 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2000 14:52:25 GMT",
"version": "v2"
},
{
"created": "Wed, 2 May 2001 15:21:30 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Kinar",
"Y.",
""
],
[
"Loewy",
"A.",
""
],
[
"Schreiber",
"E.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Yankielowicz",
"S.",
""
]
] | We look at the string theory dual of the $\N=1^*$ theory, involving 5--branes, which was recently proposed by Polchinski and Strassler \cite{PolStr}. We argue that SUGRA alone is not enough in order to obtain the correct screening and confinement behaviour of the various massive field theory vacua, but that appropriate worldvolume phenomena of the 5--branes must be included. We therefore work within the SUGRA approximation, also taking into account the brane dynamics, and classify all the SUGRA configurations. In this level of analysis, we find multiple valid configurations for every given vacuum. We discuss some possible resolutions of this perplexing result. We also consider the spectrum of asymptotic states, and discuss the global symmetries of the SUGRA solution of the $\N=1^*$ theory and of the $\N=0^*$ theory obtained from it by explicit supersymmetry breaking. |
2203.03644 | Ling Lin | Mirjam Cvetic, Markus Dierigl, Ling Lin, Hao Y. Zhang | One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from
Junctions | 47 pages + appendices, 8 figures, long table in Appendix C | null | 10.1103/PhysRevD.106.026007 | CERN-TH-2022-032, LMU-ASC 10/22, UPR-1316-T | hep-th | http://creativecommons.org/licenses/by/4.0/ | String and 5-brane junctions are shown to succinctly classify all known 8d
${\cal N}$=1 string vacua. This requires an extension of the description for
ordinary $[p,q]$-7-branes to consistently include O7$^+$-planes, which then
naturally encodes the dynamics of $\mathfrak{sp}_n$ gauge algebras, including
their higher-form center symmetries. Central to this analysis are loop
junctions, i.e., strings/5-branes which encircle stacks of 7-branes and
O7$^+$'s. Loop junctions further signal the appearance of affine symmetries of
emergent 9d descriptions at the 8d moduli space's boundaries. Such limits
reproduce all 9d string vacua, including the two disconnected rank (1,1) moduli
components.
| [
{
"created": "Mon, 7 Mar 2022 19:00:00 GMT",
"version": "v1"
}
] | 2022-07-25 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Dierigl",
"Markus",
""
],
[
"Lin",
"Ling",
""
],
[
"Zhang",
"Hao Y.",
""
]
] | String and 5-brane junctions are shown to succinctly classify all known 8d ${\cal N}$=1 string vacua. This requires an extension of the description for ordinary $[p,q]$-7-branes to consistently include O7$^+$-planes, which then naturally encodes the dynamics of $\mathfrak{sp}_n$ gauge algebras, including their higher-form center symmetries. Central to this analysis are loop junctions, i.e., strings/5-branes which encircle stacks of 7-branes and O7$^+$'s. Loop junctions further signal the appearance of affine symmetries of emergent 9d descriptions at the 8d moduli space's boundaries. Such limits reproduce all 9d string vacua, including the two disconnected rank (1,1) moduli components. |
1012.0323 | Christoph Adam | C. Adam, J.M. Queiruga, J. Sanchez-Guillen | A simple supersymmetric extension of K field theories | latex, 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the investigation of supersymmetric extensions of field theories
with a non-standard kinetic term (K field theories) resumed recently.
Concretely, for K field theories which allow for kink or compacton solutions in
1+1 dimensions, i.e., for domain walls in a higher-dimensional context, we find
a simple supersymmetric extension such that the boson field still has the kink
solution, and the field equation for the fermion in the kink background is
linear and is solved by the first spatial derivative of the kink, as is the
case in the corresponding standard supersymmetric theories. This supersymmetric
extension, nevertheless, is peculiar in several aspects. The bosonic part of
the supersymmetric Lagrangian is not equal to the original bosonic K field
Lagrangian, but the bosonic field equations coincide. Further, the field
equation for the bosonic field is produced by the variation of the auxiliary
field and vice versa. This observation may be of some independent interest.
Finally, the presence of kink solutions does not lead to a central extension in
the SUSY algebra, in contrast to the standard case.
| [
{
"created": "Wed, 1 Dec 2010 21:10:05 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Adam",
"C.",
""
],
[
"Queiruga",
"J. M.",
""
],
[
"Sanchez-Guillen",
"J.",
""
]
] | We continue the investigation of supersymmetric extensions of field theories with a non-standard kinetic term (K field theories) resumed recently. Concretely, for K field theories which allow for kink or compacton solutions in 1+1 dimensions, i.e., for domain walls in a higher-dimensional context, we find a simple supersymmetric extension such that the boson field still has the kink solution, and the field equation for the fermion in the kink background is linear and is solved by the first spatial derivative of the kink, as is the case in the corresponding standard supersymmetric theories. This supersymmetric extension, nevertheless, is peculiar in several aspects. The bosonic part of the supersymmetric Lagrangian is not equal to the original bosonic K field Lagrangian, but the bosonic field equations coincide. Further, the field equation for the bosonic field is produced by the variation of the auxiliary field and vice versa. This observation may be of some independent interest. Finally, the presence of kink solutions does not lead to a central extension in the SUSY algebra, in contrast to the standard case. |
hep-th/9602078 | David Adams | David H. Adams | Perturbative expansion in gauge theories on compact manifolds | 47 pages, latex. Typo's in the Feynman diagrams corrected, 5
references added, some clarifying comments added (mainly in the introduction) | null | null | TCD-05-96 | hep-th gr-qc | null | A geometric formal method for perturbatively expanding functional integrals
arising in quantum gauge theories is described when the spacetime is a compact
riemannian manifold without boundary. This involves a refined version of the
Faddeev-Popov procedure using the covariant background field gauge-fixing
condition with background gauge field chosen to be a general critical point for
the action functional (i.e. a classical solution). The refinement takes into
account the gauge-fixing ambiguities coming from gauge transformations which
leave the critical point unchanged, resulting in the absence of infrared
divergences when the critical point is isolated modulo gauge transformations.
The procedure can be carried out using only the subgroup of gauge
transformations which are topologically trivial, possibly avoiding the usual
problems which arise due to gauge-fixing ambiguities. For Chern-Simons gauge
theory the method enables the partition function to be perturbatively expanded
for a number of simple spacetime manifolds such as $S^3$ and lens spaces, and
the expansions are shown to be formally independent of the metric used in the
gauge-fixing.
| [
{
"created": "Wed, 14 Feb 1996 23:46:31 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 1996 00:00:10 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Adams",
"David H.",
""
]
] | A geometric formal method for perturbatively expanding functional integrals arising in quantum gauge theories is described when the spacetime is a compact riemannian manifold without boundary. This involves a refined version of the Faddeev-Popov procedure using the covariant background field gauge-fixing condition with background gauge field chosen to be a general critical point for the action functional (i.e. a classical solution). The refinement takes into account the gauge-fixing ambiguities coming from gauge transformations which leave the critical point unchanged, resulting in the absence of infrared divergences when the critical point is isolated modulo gauge transformations. The procedure can be carried out using only the subgroup of gauge transformations which are topologically trivial, possibly avoiding the usual problems which arise due to gauge-fixing ambiguities. For Chern-Simons gauge theory the method enables the partition function to be perturbatively expanded for a number of simple spacetime manifolds such as $S^3$ and lens spaces, and the expansions are shown to be formally independent of the metric used in the gauge-fixing. |
hep-th/0612104 | Massimo Giovannini | Massimo Giovannini | Gravitating multidefects from higher dimensions | 27 pages, 5 included figures | Phys.Rev.D75:064023,2007 | 10.1103/PhysRevD.75.064023 | CERN-PH-TH/2006-253 | hep-th gr-qc hep-ph | null | Warped configurations admitting pairs of gravitating defects are analyzed.
After devising a general method for the construction of multidefects, specific
examples are presented in the case of higher-dimensional Einstein-Hilbert
gravity. The obtained profiles describe diverse physical situations such as
(topological) kink-antikink systems, pairs of non-topological solitons and
bound configurations of a kink and of a non-topological soliton. In all the
mentioned cases the geometry is always well behaved (all relevant curvature
invariants are regular) and tends to five-dimensional anti-de Sitter space-time
for large asymptotic values of the bulk coordinate. Particular classes of
solutions can be generalized to the framework where the gravity part of the
action includes, as a correction, the Euler-Gauss-Bonnet combination. After
scrutinizing the structure of the zero modes, the obtained results are compared
with conventional gravitating configurations containing a single topological
defect.
| [
{
"created": "Tue, 12 Dec 2006 14:22:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Giovannini",
"Massimo",
""
]
] | Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The obtained profiles describe diverse physical situations such as (topological) kink-antikink systems, pairs of non-topological solitons and bound configurations of a kink and of a non-topological soliton. In all the mentioned cases the geometry is always well behaved (all relevant curvature invariants are regular) and tends to five-dimensional anti-de Sitter space-time for large asymptotic values of the bulk coordinate. Particular classes of solutions can be generalized to the framework where the gravity part of the action includes, as a correction, the Euler-Gauss-Bonnet combination. After scrutinizing the structure of the zero modes, the obtained results are compared with conventional gravitating configurations containing a single topological defect. |
hep-th/9404055 | Dae Yup Song | Dae Yup Song | Large-$N$ nonlinear $\sigma$ models on $R^2\times S^1$ | 12 pages(LaTex) | Phys.Rev. D49 (1994) 6794-6798 | 10.1103/PhysRevD.49.6794 | SCNU-TH-9 | hep-th | null | The large-$N$ nonlinear $O(N)$, $CP^{N-1}$ $\sigma$ models are studied on
$R^2 \times S^1$. The $N$-components scalar fields of the models are supposed
to acquire a phase $e^{i2\pi\delta}$ $(0\leq \delta <1)$, along the circulation
of the circle, $S^1$. We evaluate the effective potentials to the leading order
of the $1/N$ expansion. It is shown that, on $R^2\times S^1$ the $O(N)$ model
has rich phase structure while the phase of $CP^{N-1}$ model is just that of
the model at finite temperature.
| [
{
"created": "Sun, 10 Apr 1994 21:59:48 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Song",
"Dae Yup",
""
]
] | The large-$N$ nonlinear $O(N)$, $CP^{N-1}$ $\sigma$ models are studied on $R^2 \times S^1$. The $N$-components scalar fields of the models are supposed to acquire a phase $e^{i2\pi\delta}$ $(0\leq \delta <1)$, along the circulation of the circle, $S^1$. We evaluate the effective potentials to the leading order of the $1/N$ expansion. It is shown that, on $R^2\times S^1$ the $O(N)$ model has rich phase structure while the phase of $CP^{N-1}$ model is just that of the model at finite temperature. |
hep-th/9609010 | My Account | L.F. Urrutia (Universidad Autonoma Metropolitana-I, Universidad
Nacional Autonoma de Mexico), N. Morales (Universidad Autonoma
Metropolitana-I) | An extension of the Cayley-Hamilton theorem to the case of supermatrices | 14 pages, plain TEX | Letters in Mathematical Physics, 32 (1994) 211-219 | 10.1007/BF00750663 | null | hep-th | null | Starting from the expression for the superdeterminant of $ (xI-M)$, where $M$
is an arbitrary supermatrix , we propose a definition for the corresponding
characteristic polynomial and we prove that each supermatrix satisfies its
characteristic equation. Depending upon the factorization properties of the
basic polynomials whose ratio defines the above mentioned superdeterminant we
are able to construct polynomials of lower degree which are also shown to be
annihilated by the supermatrix.
| [
{
"created": "Fri, 30 Aug 1996 19:22:19 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Urrutia",
"L. F.",
"",
"Universidad Autonoma Metropolitana-I, Universidad\n Nacional Autonoma de Mexico"
],
[
"Morales",
"N.",
"",
"Universidad Autonoma\n Metropolitana-I"
]
] | Starting from the expression for the superdeterminant of $ (xI-M)$, where $M$ is an arbitrary supermatrix , we propose a definition for the corresponding characteristic polynomial and we prove that each supermatrix satisfies its characteristic equation. Depending upon the factorization properties of the basic polynomials whose ratio defines the above mentioned superdeterminant we are able to construct polynomials of lower degree which are also shown to be annihilated by the supermatrix. |
2105.10507 | Benjamin Lillard | Patrick Draper, Isabel Garcia Garcia, and Benjamin Lillard | de Sitter Decays to Infinity | 52 pages, 16 figures, including three appendices. v2: Updated to
match published manuscript, references added | null | 10.1007/JHEP12(2021)154 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bubbles of nothing are a class of vacuum decay processes present in some
theories with compactified extra dimensions. We investigate the existence and
properties of bubbles of nothing in models where the scalar pseudomoduli
controlling the size of the extra dimensions are stabilized at positive vacuum
energy, which is a necessary feature of any realistic model. We map the
construction of bubbles of nothing to a four-dimensional Coleman-De Luccia
problem and establish necessary conditions on the asymptotic behavior of the
scalar potential for the existence of suitable solutions. We perform detailed
analyses in the context of five-dimensional theories with metastable
$\text{dS}_4 \times S^1$ vacua, using analytic approximations and numerical
methods to calculate the decay rate. We find that bubbles of nothing sometimes
exist in potentials with no ordinary Coleman-De Luccia decay process, and that
in the examples we study, when both processes exist, the bubble of nothing
decay rate is typically faster. Our methods can be generalized to other
stabilizing potentials and internal manifolds.
| [
{
"created": "Fri, 21 May 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2022 03:47:32 GMT",
"version": "v2"
}
] | 2022-03-11 | [
[
"Draper",
"Patrick",
""
],
[
"Garcia",
"Isabel Garcia",
""
],
[
"Lillard",
"Benjamin",
""
]
] | Bubbles of nothing are a class of vacuum decay processes present in some theories with compactified extra dimensions. We investigate the existence and properties of bubbles of nothing in models where the scalar pseudomoduli controlling the size of the extra dimensions are stabilized at positive vacuum energy, which is a necessary feature of any realistic model. We map the construction of bubbles of nothing to a four-dimensional Coleman-De Luccia problem and establish necessary conditions on the asymptotic behavior of the scalar potential for the existence of suitable solutions. We perform detailed analyses in the context of five-dimensional theories with metastable $\text{dS}_4 \times S^1$ vacua, using analytic approximations and numerical methods to calculate the decay rate. We find that bubbles of nothing sometimes exist in potentials with no ordinary Coleman-De Luccia decay process, and that in the examples we study, when both processes exist, the bubble of nothing decay rate is typically faster. Our methods can be generalized to other stabilizing potentials and internal manifolds. |
1601.05703 | Parinya Karndumri | Parinya Karndumri | Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D
gauged supergravity | 29 pages, no figures, typos corrected and more details and comments
added | Phys. Rev. D 94, 045006 (2016) | 10.1103/PhysRevD.94.045006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various supersymmetric RG flows of $N=3$ Chern-Simons-Matter theory
in three dimensions by using four-dimensional $N=3$ gauged supergravity coupled
to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. The $AdS_4$
critical point preserving the full $SO(3)\times SU(3)$ provides a gravity dual
of $N=3$ superconformal field theory with flavor symmetry $SU(3)$. We study the
scalar potential and identify a new supersymmetric $AdS_4$ critical point
preserving the full $N=3$ supersymmetry and unbroken $SO(3)\times U(1)$
symmetry. An analytic RG flow solution interpolating between $SO(3)\times
SU(3)$ and $SO(3)\times U(1)$ critical points is explicitly given. We then
investigate possible RG flows from these $AdS_4$ critical points to
non-conformal field theories in the IR. All of the singularities appearing in
the IR turn out to be physically acceptable. Furthermore, we look for
supersymmetric solutions of the form $AdS_2\times \Sigma_2$ with $\Sigma_2$
being a two-sphere or a two-dimensional hyperbolic space and find a number of
$AdS_2$ geometries preserving four supercharges with $SO(2)\times SO(2)\times
SO(2)$ and $SO(2)\times SO(2)$ symmetries.
| [
{
"created": "Thu, 21 Jan 2016 16:41:22 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2016 15:31:10 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jun 2016 13:22:09 GMT",
"version": "v3"
},
{
"created": "Sat, 30 Jul 2016 15:57:16 GMT",
"version": "v4"
}
] | 2016-08-17 | [
[
"Karndumri",
"Parinya",
""
]
] | We study various supersymmetric RG flows of $N=3$ Chern-Simons-Matter theory in three dimensions by using four-dimensional $N=3$ gauged supergravity coupled to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. The $AdS_4$ critical point preserving the full $SO(3)\times SU(3)$ provides a gravity dual of $N=3$ superconformal field theory with flavor symmetry $SU(3)$. We study the scalar potential and identify a new supersymmetric $AdS_4$ critical point preserving the full $N=3$ supersymmetry and unbroken $SO(3)\times U(1)$ symmetry. An analytic RG flow solution interpolating between $SO(3)\times SU(3)$ and $SO(3)\times U(1)$ critical points is explicitly given. We then investigate possible RG flows from these $AdS_4$ critical points to non-conformal field theories in the IR. All of the singularities appearing in the IR turn out to be physically acceptable. Furthermore, we look for supersymmetric solutions of the form $AdS_2\times \Sigma_2$ with $\Sigma_2$ being a two-sphere or a two-dimensional hyperbolic space and find a number of $AdS_2$ geometries preserving four supercharges with $SO(2)\times SO(2)\times SO(2)$ and $SO(2)\times SO(2)$ symmetries. |
1307.8377 | Jeong-Hyuck Park | Kanghoon Lee and Jeong-Hyuck Park | Covariant action for a string in doubled yet gauged spacetime | 1+29 pages; v2) Refs added. minor changes. To appear in Nuclear
Physics B | Nuclear Physics B 880 (2014) 134-154 | 10.1016/j.nuclphysb.2014.01.003 | DAMTP-2014-4 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The section condition in double field theory has been shown to imply that a
physical point should be one-to-one identified with a gauge orbit in the
doubled coordinate space. Here we show the converse is also true, and continue
to explore the idea of `spacetime being doubled yet gauged'. Introducing an
appropriate gauge connection, we construct a string action, with an arbitrary
generalized metric, which is completely covariant with respect to the
coordinate gauge symmetry, generalized diffeomorphisms, world-sheet
diffeomorphisms, world-sheet Weyl symmetry and O(D,D) T-duality. A topological
term previously proposed in the literature naturally arises and a self-duality
condition follows from the equations of motion. Further, the action may couple
to a T-dual background where the Riemannian metric becomes everywhere singular.
| [
{
"created": "Wed, 31 Jul 2013 16:23:43 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2014 10:55:02 GMT",
"version": "v2"
}
] | 2014-01-22 | [
[
"Lee",
"Kanghoon",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | The section condition in double field theory has been shown to imply that a physical point should be one-to-one identified with a gauge orbit in the doubled coordinate space. Here we show the converse is also true, and continue to explore the idea of `spacetime being doubled yet gauged'. Introducing an appropriate gauge connection, we construct a string action, with an arbitrary generalized metric, which is completely covariant with respect to the coordinate gauge symmetry, generalized diffeomorphisms, world-sheet diffeomorphisms, world-sheet Weyl symmetry and O(D,D) T-duality. A topological term previously proposed in the literature naturally arises and a self-duality condition follows from the equations of motion. Further, the action may couple to a T-dual background where the Riemannian metric becomes everywhere singular. |
2007.14096 | Guilherme Franzmann | Heliudson Bernardo, Robert Brandenberger and Guilherme Franzmann | Solution of the Size and Horizon Problems from Classical String Geometry | 7 pages, 2 figures | null | 10.1007/JHEP10(2020)155 | null | hep-th astro-ph.CO gr-qc hep-ex | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper we developed a string cosmology background from classical
string geometry. Here, we show that this background yields a solution to the
size and horizon problems of Standard Big Bang cosmology while remaining
compatible with the Transplanckian Censorship Conjecture. We also take a first
look at the evolution of cosmological perturbations in this model.
| [
{
"created": "Tue, 28 Jul 2020 10:01:21 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Bernardo",
"Heliudson",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Franzmann",
"Guilherme",
""
]
] | In a recent paper we developed a string cosmology background from classical string geometry. Here, we show that this background yields a solution to the size and horizon problems of Standard Big Bang cosmology while remaining compatible with the Transplanckian Censorship Conjecture. We also take a first look at the evolution of cosmological perturbations in this model. |
hep-th/9903003 | Skenderis Kostas | Kostas Skenderis | Field theory limit of branes and gauged supergravities | 4 pages. Talk delivered at the 32nd International Symposium
Ahrenshoop in Buckow, Germany, to appear in the proceedings | Fortsch.Phys.48:205-208,2000 | 10.1002/(SICI)1521-3978(20001)48:1/3<205::AID-PROP205>3.0.CO;2-F | SPIN-1999/02 | hep-th | null | We discuss the field theory limit of Dp-branes. In this limit, the black
Dp-brane solution approaches a solution which is conformal to adS_{p+2} \times
S^{8-p}. We argue that the frame in which the conformal factor is equal to one,
the dual frame, is a `holographic' frame. The radial coordinate of adS_{p+2}
provides a UV/IR connection as in the case of the D3 brane. The gravitational
description involves gauged supergravities, typically with non-compact gauge
groups. The near-horizon Dp-brane solution becomes a domain-wall solution of
the latter.
| [
{
"created": "Sat, 27 Feb 1999 10:53:19 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Skenderis",
"Kostas",
""
]
] | We discuss the field theory limit of Dp-branes. In this limit, the black Dp-brane solution approaches a solution which is conformal to adS_{p+2} \times S^{8-p}. We argue that the frame in which the conformal factor is equal to one, the dual frame, is a `holographic' frame. The radial coordinate of adS_{p+2} provides a UV/IR connection as in the case of the D3 brane. The gravitational description involves gauged supergravities, typically with non-compact gauge groups. The near-horizon Dp-brane solution becomes a domain-wall solution of the latter. |
1102.4880 | Volker Braun | Volker Braun | The 24-Cell and Calabi-Yau Threefolds with Hodge Numbers (1,1) | 22 pages, 3 figures, 3 tables | null | 10.1007/JHEP05(2012)101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Calabi-Yau threefolds with h^11(X)=h^21(X)=1 are constructed as free
quotients of a hypersurface in the ambient toric variety defined by the
24-cell. Their fundamental groups are SL(2,3), a semidirect product of Z_3 and
Z_8, and Z_3 x Q_8.
| [
{
"created": "Wed, 23 Feb 2011 23:47:12 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Braun",
"Volker",
""
]
] | Calabi-Yau threefolds with h^11(X)=h^21(X)=1 are constructed as free quotients of a hypersurface in the ambient toric variety defined by the 24-cell. Their fundamental groups are SL(2,3), a semidirect product of Z_3 and Z_8, and Z_3 x Q_8. |
hep-th/0403273 | Douglas A. Singleton | Douglas Singleton | Gravitational trapping potential with arbitrary extra dimensions | 7 pages revtex. No figures. References added some discussions changed | Phys.Rev. D70 (2004) 065013 | 10.1103/PhysRevD.70.065013 | null | hep-th | null | We extend a recently discovered, non-singular 6 dimensional brane, solution
to D=4+n dimensions. As with the previous 6D solution the present solution
provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2.
There is an important distinction between 2 extra dimensions and $n$ extra
dimensions that makes this more than a trivial extension. In contrast to
gravity in n >2 dimensions, gravity in n=2 dimensions is conformally flat. The
stress-energy tensor required by this solution has reasonable physically
properties, and for n=2 and n=3 can be made to asymptotically go to zero as one
moves away from the brane.
| [
{
"created": "Sun, 28 Mar 2004 11:29:15 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2004 21:08:03 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Singleton",
"Douglas",
""
]
] | We extend a recently discovered, non-singular 6 dimensional brane, solution to D=4+n dimensions. As with the previous 6D solution the present solution provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2. There is an important distinction between 2 extra dimensions and $n$ extra dimensions that makes this more than a trivial extension. In contrast to gravity in n >2 dimensions, gravity in n=2 dimensions is conformally flat. The stress-energy tensor required by this solution has reasonable physically properties, and for n=2 and n=3 can be made to asymptotically go to zero as one moves away from the brane. |
2302.10951 | Sebastian Franco | Sebasti\'an Franco, Rak-Kyeong Seong | Twin Theories, Polytope Mutations and Quivers for GTPs | 51 pages, 42 figures. v2: typos corrected, references added | JHEP 2307:034,2023 | 10.1007/JHEP07(2023)034 | UNIST-MTH-23-RS-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a unified perspective on two sets of objects that usually arise in
the study of bipartite field theories. Each of the sets consists of a polytope,
or equivalently a toric Calabi-Yau, and a quiver theory. We refer to the two
sets of objects as original and twin. In the simplest cases, the two sides of
the correspondence are connected by the graph operation known as untwisting.
The democratic treatment that we advocate raises new questions regarding the
connections between these objects, some of which we explore.
With this motivation in mind, we establish a correspondence between the
mutations of the original polytope and the twin quiver. This leads us to
propose that non-toric twin quivers are naturally associated to generalized
toric polygons (GTPs) and we explore various aspects of this idea. Supporting
evidence includes global symmetries, the ability of twin quivers to encode the
generalized $s$-rule, and the connection between the mutations of polytopes and
of configurations of webs of 5-branes suspended from 7-branes. We introduce
three methods for constructing twin quivers for GTPs. We also investigate the
connection between twin quivers obtained using different toric phases. Twin
quivers provide a powerful new perspective on GTPs. The ideas presented in this
paper may represent a step towards the generalization of brane tilings to GTPs.
| [
{
"created": "Tue, 21 Feb 2023 19:10:46 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2023 21:23:35 GMT",
"version": "v2"
}
] | 2023-07-07 | [
[
"Franco",
"Sebastián",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | We propose a unified perspective on two sets of objects that usually arise in the study of bipartite field theories. Each of the sets consists of a polytope, or equivalently a toric Calabi-Yau, and a quiver theory. We refer to the two sets of objects as original and twin. In the simplest cases, the two sides of the correspondence are connected by the graph operation known as untwisting. The democratic treatment that we advocate raises new questions regarding the connections between these objects, some of which we explore. With this motivation in mind, we establish a correspondence between the mutations of the original polytope and the twin quiver. This leads us to propose that non-toric twin quivers are naturally associated to generalized toric polygons (GTPs) and we explore various aspects of this idea. Supporting evidence includes global symmetries, the ability of twin quivers to encode the generalized $s$-rule, and the connection between the mutations of polytopes and of configurations of webs of 5-branes suspended from 7-branes. We introduce three methods for constructing twin quivers for GTPs. We also investigate the connection between twin quivers obtained using different toric phases. Twin quivers provide a powerful new perspective on GTPs. The ideas presented in this paper may represent a step towards the generalization of brane tilings to GTPs. |
1304.3382 | Eduardo da Hora | R. Casana, M. M. Ferreira Jr., E. da Hora, C. dos Santos | Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs
scenario | 6 pages, 4 figures. To be published in Physics Letters B | Phys. Lett. B 722 (2013) 193-197 | 10.1016/j.physletb.2013.04.023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have found analytical self-dual solutions within the generalized
Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such
solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield
(BPS) equations and usual finite energy boundary conditions. Moreover, the new
solutions are classified in two different types according to their capability
of recovering (or not) the usual 't Hooft--Polyakov monopole. Finally, we
compare the profiles of the solutions we found with the standard ones, from
which we comment about the main features exhibited by the new configurations.
| [
{
"created": "Thu, 11 Apr 2013 17:39:42 GMT",
"version": "v1"
}
] | 2013-04-25 | [
[
"Casana",
"R.",
""
],
[
"Ferreira",
"M. M.",
"Jr."
],
[
"da Hora",
"E.",
""
],
[
"Santos",
"C. dos",
""
]
] | We have found analytical self-dual solutions within the generalized Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield (BPS) equations and usual finite energy boundary conditions. Moreover, the new solutions are classified in two different types according to their capability of recovering (or not) the usual 't Hooft--Polyakov monopole. Finally, we compare the profiles of the solutions we found with the standard ones, from which we comment about the main features exhibited by the new configurations. |
2205.05081 | Pablo Basteiro | Pablo Basteiro, Felix Dusel, Johanna Erdmenger, Dietmar Herdt, Haye
Hinrichsen, Ren\'e Meyer, Manuel Schrauth | Breitenlohner-Freedman bound on hyperbolic tilings | 11 pages, 9 figures, improved discussion and analysis, corrected
typos | null | 10.1103/PhysRevLett.130.091604 | null | hep-th cond-mat.other gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish how the Breitenlohner-Freedman (BF) bound is realized on tilings
of two-dimensional Euclidean Anti-de Sitter space. For the continuum, the BF
bound states that on Anti-de Sitter spaces, fluctuation modes remain stable for
small negative mass-squared $m^2$. This follows from a real and positive total
energy of the gravitational system. For finite cutoff $\varepsilon$, we solve
the Klein-Gordon equation numerically on regular hyperbolic tilings. When
$\varepsilon\to0$, we find that the continuum BF bound is approached in a
manner independent of the tiling. We confirm these results via simulations of a
hyperbolic electric circuit. Moreover, we propose a novel circuit including
active elements that allows to further scan values of $m^2$ above the BF bound.
| [
{
"created": "Tue, 10 May 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2022 16:03:36 GMT",
"version": "v2"
}
] | 2023-03-15 | [
[
"Basteiro",
"Pablo",
""
],
[
"Dusel",
"Felix",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Herdt",
"Dietmar",
""
],
[
"Hinrichsen",
"Haye",
""
],
[
"Meyer",
"René",
""
],
[
"Schrauth",
"Manuel",
""
]
] | We establish how the Breitenlohner-Freedman (BF) bound is realized on tilings of two-dimensional Euclidean Anti-de Sitter space. For the continuum, the BF bound states that on Anti-de Sitter spaces, fluctuation modes remain stable for small negative mass-squared $m^2$. This follows from a real and positive total energy of the gravitational system. For finite cutoff $\varepsilon$, we solve the Klein-Gordon equation numerically on regular hyperbolic tilings. When $\varepsilon\to0$, we find that the continuum BF bound is approached in a manner independent of the tiling. We confirm these results via simulations of a hyperbolic electric circuit. Moreover, we propose a novel circuit including active elements that allows to further scan values of $m^2$ above the BF bound. |
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