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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2407.13550 | Timotej Lemut | Sa\v{s}o Grozdanov, Timotej Lemut, Jaka Pelai\v{c}, Alexander Soloviev | Analytic structure of diffusive correlation functions | 13 pages, 7 figures | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Diffusion is a dissipative transport phenomenon ubiquitously present in
nature. Its details can now be analysed with modern effective field theory
(EFT) techniques that use the closed-time-path (or Schwinger-Keldysh)
formalism. We discuss the structure of the diffusive effective action
appropriate for the analysis of stochastic or thermal loop effects, responsible
for the so-called long-time tails, to all orders. We also elucidate and prove a
number of properties of the EFT and use the theory to establish the analytic
structure of the $n$-loop contributions to diffusive retarded two-point
functions. Our analysis confirms a previously proposed result by Delacr\'{e}taz
that used microscopic conformal field theory arguments. Then, we analyse a
number of implications of these loop corrections to the dispersion relations of
the diffusive mode and new, gapped modes that appear when the EFT is treated as
exact. Finally, we discuss certain features of an all-loop model of diffusion
that only retains a special subset of $n$-loop `banana' diagrams.
| [
{
"created": "Thu, 18 Jul 2024 14:24:29 GMT",
"version": "v1"
}
] | 2024-07-19 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Lemut",
"Timotej",
""
],
[
"Pelaič",
"Jaka",
""
],
[
"Soloviev",
"Alexander",
""
]
] | Diffusion is a dissipative transport phenomenon ubiquitously present in nature. Its details can now be analysed with modern effective field theory (EFT) techniques that use the closed-time-path (or Schwinger-Keldysh) formalism. We discuss the structure of the diffusive effective action appropriate for the analysis of stochastic or thermal loop effects, responsible for the so-called long-time tails, to all orders. We also elucidate and prove a number of properties of the EFT and use the theory to establish the analytic structure of the $n$-loop contributions to diffusive retarded two-point functions. Our analysis confirms a previously proposed result by Delacr\'{e}taz that used microscopic conformal field theory arguments. Then, we analyse a number of implications of these loop corrections to the dispersion relations of the diffusive mode and new, gapped modes that appear when the EFT is treated as exact. Finally, we discuss certain features of an all-loop model of diffusion that only retains a special subset of $n$-loop `banana' diagrams. |
1510.03448 | Josh Nohle | Zvi Bern, Scott Davies, Josh Nohle | Double-Copy Constructions and Unitarity Cuts | 26 pages, 11 figures, ancillary file, RevTeX | Phys. Rev. D 93, 105015 (2016) | 10.1103/PhysRevD.93.105015 | UCLA/15/TEP/102, NORDITA-2015-110, CERN-PH-TH-2015-218 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The duality between color and kinematics enables the construction of
multiloop gravity integrands directly from corresponding gauge-theory
integrands. This has led to new nontrivial insights into the structure of
gravity theories, including the discovery of enhanced ultraviolet
cancellations. To continue to gain deeper understandings and probe these new
properties, it is crucial to further improve techniques for constructing
multiloop gravity integrands. In this paper, we show by example how one can
alleviate difficulties encountered at the multiloop level by relaxing the
color-kinematics duality conditions to hold manifestly only on unitarity cuts
instead of globally on loop integrands. As an example, we use a minimal ansatz
to construct an integrand for the two-loop four-point nonsupersymmetric pure
Yang-Mills amplitude in $D$ dimensions that is compatible with these relaxed
color-kinematics duality constraints. We then immediately obtain a
corresponding gravity integrand through the double-copy procedure. Comments on
ultraviolet divergences are also included.
| [
{
"created": "Mon, 12 Oct 2015 20:22:26 GMT",
"version": "v1"
}
] | 2016-05-18 | [
[
"Bern",
"Zvi",
""
],
[
"Davies",
"Scott",
""
],
[
"Nohle",
"Josh",
""
]
] | The duality between color and kinematics enables the construction of multiloop gravity integrands directly from corresponding gauge-theory integrands. This has led to new nontrivial insights into the structure of gravity theories, including the discovery of enhanced ultraviolet cancellations. To continue to gain deeper understandings and probe these new properties, it is crucial to further improve techniques for constructing multiloop gravity integrands. In this paper, we show by example how one can alleviate difficulties encountered at the multiloop level by relaxing the color-kinematics duality conditions to hold manifestly only on unitarity cuts instead of globally on loop integrands. As an example, we use a minimal ansatz to construct an integrand for the two-loop four-point nonsupersymmetric pure Yang-Mills amplitude in $D$ dimensions that is compatible with these relaxed color-kinematics duality constraints. We then immediately obtain a corresponding gravity integrand through the double-copy procedure. Comments on ultraviolet divergences are also included. |
2007.03660 | Saebyeok Jeong | Saebyeok Jeong and Nikita Nekrasov | Riemann-Hilbert correspondence and blown up surface defects | 94 pages; v2. references added, published version | JHEP12(2020)006 | 10.1007/JHEP12(2020)006 | null | hep-th math-ph math.CO math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relationship of two dimensional quantum field theory and isomonodromic
deformations of Fuchsian systems has a long history. Recently four-dimensional
$\mathcal{N}=2$ gauge theories joined the party in a multitude of roles. In
this paper we study the vacuum expectation values of intersecting half-BPS
surface defects in $SU(2)$ theory with $N_f=4$ fundamental hypermultiplets. We
show they form a horizontal section of a Fuchsian system on a sphere with $5$
regular singularities, calculate the monodromy, and define the associated
isomonodromic tau-function. Using the blowup formula in the presence of
half-BPS surface defects, initiated in the companion paper, we obtain the GIL
formula, establishing an unexpected relation of the topological string/free
fermion regime of supersymmetric gauge theory to classical integrability.
| [
{
"created": "Tue, 7 Jul 2020 17:50:05 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2020 16:21:19 GMT",
"version": "v2"
}
] | 2020-12-11 | [
[
"Jeong",
"Saebyeok",
""
],
[
"Nekrasov",
"Nikita",
""
]
] | The relationship of two dimensional quantum field theory and isomonodromic deformations of Fuchsian systems has a long history. Recently four-dimensional $\mathcal{N}=2$ gauge theories joined the party in a multitude of roles. In this paper we study the vacuum expectation values of intersecting half-BPS surface defects in $SU(2)$ theory with $N_f=4$ fundamental hypermultiplets. We show they form a horizontal section of a Fuchsian system on a sphere with $5$ regular singularities, calculate the monodromy, and define the associated isomonodromic tau-function. Using the blowup formula in the presence of half-BPS surface defects, initiated in the companion paper, we obtain the GIL formula, establishing an unexpected relation of the topological string/free fermion regime of supersymmetric gauge theory to classical integrability. |
hep-th/0310142 | Keitaro Takahashi | Keitaro Takahashi and Kazuhide Ichikawa | Cosmology and two-body problem of D-branes | 6 pages, 7 figures, reference added, accepted for publication in PRD | Phys.Rev. D69 (2004) 103506 | 10.1103/PhysRevD.69.103506 | UTAP-463/03 | hep-th hep-ph | null | In this paper, we investigate the dynamics and the evolution of the scale
factor of a probe Dp-brane which move in the background of source Dp-branes.
Action of the probe brane is described by the Born-Infeld action and the
interaction with the background R-R field. When the probe brane moves away from
the source branes, it expands by power law, whose index depends on the
dimension of the brane. If the energy density of the gauge field on the brane
is subdominant, the expansion is decelerating irrespective of the dimension of
the brane. On the other hand, when the probe brane is a Nambu-Goto brane, the
energy density of the gauge field can be dominant, in which case accelerating
expansion occurs for $p \leq 4$. The accelerating expansion stops when the
brane has expanded sufficiently so that the energy density of the gauge field
become subdominant.
| [
{
"created": "Wed, 15 Oct 2003 13:03:59 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 2004 12:47:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Takahashi",
"Keitaro",
""
],
[
"Ichikawa",
"Kazuhide",
""
]
] | In this paper, we investigate the dynamics and the evolution of the scale factor of a probe Dp-brane which move in the background of source Dp-branes. Action of the probe brane is described by the Born-Infeld action and the interaction with the background R-R field. When the probe brane moves away from the source branes, it expands by power law, whose index depends on the dimension of the brane. If the energy density of the gauge field on the brane is subdominant, the expansion is decelerating irrespective of the dimension of the brane. On the other hand, when the probe brane is a Nambu-Goto brane, the energy density of the gauge field can be dominant, in which case accelerating expansion occurs for $p \leq 4$. The accelerating expansion stops when the brane has expanded sufficiently so that the energy density of the gauge field become subdominant. |
hep-th/9403048 | Nemanja Kaloper | Nemanja Kaloper | Field Redefinitions in String Theory as a Solution Generating Technique | LaTeX file, 15 pages, U. of Alberta report Alberta Thy-8-94.
(Revisions consist of rewording the comment on the relationship of
semiclassical and exact 2d black holes, including 2 references and expanding
acknowledgement) | Phys.Lett.B336:11-17,1994 | 10.1016/0370-2693(94)00988-0 | null | hep-th gr-qc | null | The purpose of this work is to show that there exists an additional
invariance of the $\beta$-function equations of string theory on
$d+1$-dimensional targets with $d$ toroidal isometries. It corresponds to a
shift of the dilaton field and a scaling of the lapse function, and is
reminiscent of string field redefinitions. While it preserves the form of the
$\beta$-function equations, it changes the effective action and the solutions.
Thus it can be used as a solution generating technique. It is particularly
interesting to note that there are field redefinitions which map solutions with
non-zero string cosmological constant to those with zero cosmological constant.
Several simple examples involving two- and three-dimensional black holes and
black strings are provided to illustrate the role of such field redefinitions.
| [
{
"created": "Tue, 8 Mar 1994 05:48:36 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 1994 20:05:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kaloper",
"Nemanja",
""
]
] | The purpose of this work is to show that there exists an additional invariance of the $\beta$-function equations of string theory on $d+1$-dimensional targets with $d$ toroidal isometries. It corresponds to a shift of the dilaton field and a scaling of the lapse function, and is reminiscent of string field redefinitions. While it preserves the form of the $\beta$-function equations, it changes the effective action and the solutions. Thus it can be used as a solution generating technique. It is particularly interesting to note that there are field redefinitions which map solutions with non-zero string cosmological constant to those with zero cosmological constant. Several simple examples involving two- and three-dimensional black holes and black strings are provided to illustrate the role of such field redefinitions. |
hep-th/9109002 | Gary Horowitz | Gary T. Horowitz | Ashtekar's Approach to Quantum Gravity | 15 pages | In Strings and Symmetries 1991, World Scientific (1992) | null | null | hep-th | null | A review is given of work by Abhay Ashtekar and his colleagues Carlo Rovelli,
Lee Smolin, and others, which is directed at constructing a nonperturbative
quantum theory of general relativity.
| [
{
"created": "Tue, 3 Sep 1991 16:42:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Horowitz",
"Gary T.",
""
]
] | A review is given of work by Abhay Ashtekar and his colleagues Carlo Rovelli, Lee Smolin, and others, which is directed at constructing a nonperturbative quantum theory of general relativity. |
hep-th/0302048 | Peter Morgan | Peter Morgan | A geometry for the electroweak field | 3 pages, RevTeX | null | null | null | hep-th | null | The structure of the electroweak theory is suggested by classical geometrical
ideas. A nonlinear map is constructed, from a 12-dimensional linear space of
three Weyl spinors onto the 12-dimensional tangent bundle of the Stiefel
manifold of orthonormal tetrads associated with the Lorentz group -- except,
inevitably, for a set of measure zero. In the approach of this paper, the
electroweak field is more natural than the Dirac field. This may be just a
curiosity since it may not survive quantization, but it suggests a path to
bosonization of the electroweak field in (3+1) dimensions.
| [
{
"created": "Fri, 7 Feb 2003 17:23:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Morgan",
"Peter",
""
]
] | The structure of the electroweak theory is suggested by classical geometrical ideas. A nonlinear map is constructed, from a 12-dimensional linear space of three Weyl spinors onto the 12-dimensional tangent bundle of the Stiefel manifold of orthonormal tetrads associated with the Lorentz group -- except, inevitably, for a set of measure zero. In the approach of this paper, the electroweak field is more natural than the Dirac field. This may be just a curiosity since it may not survive quantization, but it suggests a path to bosonization of the electroweak field in (3+1) dimensions. |
1110.3258 | Andrei V. Frolov | Andrei V. Frolov | Critical Collapse and Solitons in Classical Conformal Field Theory | 9 pages, 8 figures; REVTeX 4 | null | null | SCG-2011-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fate of a localized wavepacket in a classical conformal field
theory with attractive interaction V(phi) = -lambda/4 phi^4. As potential is
unbounded from below, homogeneous field collapses to singularity in finite
time. However, finite size wavepacket can disperse before it collapses.
Competition between the two outcomes results in a critical behavior, much like
the one seen in gravitational collapse. We calculate the critical exponents,
and show that there are static regular soliton-like solutions in the theory.
| [
{
"created": "Fri, 14 Oct 2011 16:01:59 GMT",
"version": "v1"
}
] | 2011-10-17 | [
[
"Frolov",
"Andrei V.",
""
]
] | We study the fate of a localized wavepacket in a classical conformal field theory with attractive interaction V(phi) = -lambda/4 phi^4. As potential is unbounded from below, homogeneous field collapses to singularity in finite time. However, finite size wavepacket can disperse before it collapses. Competition between the two outcomes results in a critical behavior, much like the one seen in gravitational collapse. We calculate the critical exponents, and show that there are static regular soliton-like solutions in the theory. |
2110.14567 | Giovany Cruz | Riccardo Capovilla, Giovany Cruz and Efra\'in Rojas | Ostrogradsky-Hamilton approach to geodetic brane gravity | null | null | 10.1142/S0218271822500080 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the Ostrogradsky-Hamilton formalism for geodetic brane gravity,
described by the Regge-Teitelboim geometric model in higher codimension. We
treat this gravity theory as a second-order derivative theory, based on the
extrinsic geometric structure of the model. As opposed to previous treatments
of geodetic brane gravity, our Lagrangian is linearly dependent on second-order
time derivatives of the field variables, the embedding functions. The
difference resides in a boundary term in the action, usually discarded.
Certainly, this suggests applying an appropriate Ostrogradsky-Hamiltonian
approach to this type of theories. The price to pay for this choice is the
appearance of second class constraints. We determine the full set of phase
space constraints, as well as the gauge transformations they generate in the
reduced phase space. Additionally, we compute the algebra of constraints and
explain its physical content. In the same spirit, we deduce the counting of the
physical degrees of freedom. We comment briefly on the naive formal canonical
quantization emerging from our development.
| [
{
"created": "Wed, 27 Oct 2021 16:37:58 GMT",
"version": "v1"
}
] | 2022-03-14 | [
[
"Capovilla",
"Riccardo",
""
],
[
"Cruz",
"Giovany",
""
],
[
"Rojas",
"Efraín",
""
]
] | We develop the Ostrogradsky-Hamilton formalism for geodetic brane gravity, described by the Regge-Teitelboim geometric model in higher codimension. We treat this gravity theory as a second-order derivative theory, based on the extrinsic geometric structure of the model. As opposed to previous treatments of geodetic brane gravity, our Lagrangian is linearly dependent on second-order time derivatives of the field variables, the embedding functions. The difference resides in a boundary term in the action, usually discarded. Certainly, this suggests applying an appropriate Ostrogradsky-Hamiltonian approach to this type of theories. The price to pay for this choice is the appearance of second class constraints. We determine the full set of phase space constraints, as well as the gauge transformations they generate in the reduced phase space. Additionally, we compute the algebra of constraints and explain its physical content. In the same spirit, we deduce the counting of the physical degrees of freedom. We comment briefly on the naive formal canonical quantization emerging from our development. |
hep-th/0611240 | Hossein Yavartanoo | B. Chandrasekhar, H. Yavartanoo and S. Yun | Non-Supersymmetric Attractors in BI black holes | 15 pages, minor corrections, references added | Phys.Lett.B660:392-401,2008 | 10.1016/j.physletb.2008.01.005 | null | hep-th | null | We study attractor mechanism in extremal black holes of Einstein-Born-Infeld
theories in four dimensions. We look for solutions which are regular near the
horizon and show that they exist and enjoy the attractor behavior. The
attractor point is determined by extremization of the effective potential at
the horizon. This analysis includes the backreaction and supports the validity
of non-supersymmetric attractors in the presence of higher derivative
interactions in the gauge field part.
| [
{
"created": "Wed, 22 Nov 2006 16:19:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2007 14:16:19 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Nov 2007 00:19:56 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Chandrasekhar",
"B.",
""
],
[
"Yavartanoo",
"H.",
""
],
[
"Yun",
"S.",
""
]
] | We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor point is determined by extremization of the effective potential at the horizon. This analysis includes the backreaction and supports the validity of non-supersymmetric attractors in the presence of higher derivative interactions in the gauge field part. |
hep-th/9611081 | Dr. Jeremy Schiff | C. Devchand and Jeremy Schiff | Hidden Symmetries of the Principal Chiral Model Unveiled | 21 pages, Latex. A sentence and citation added | Commun.Math.Phys.190:675-695,1998 | 10.1007/s002200050256 | null | hep-th nlin.SI solv-int | null | By relating the two-dimensional U(N) Principal Chiral Model to a simple
linear system we obtain a free-field parametrisation of solutions. Obvious
symmetry transformations on the free-field data give symmetries of the model.
In this way all known `hidden symmetries' and B\"acklund transformations, as
well as a host of new symmetries, arise.
| [
{
"created": "Tue, 12 Nov 1996 07:46:18 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 1997 10:50:23 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Devchand",
"C.",
""
],
[
"Schiff",
"Jeremy",
""
]
] | By relating the two-dimensional U(N) Principal Chiral Model to a simple linear system we obtain a free-field parametrisation of solutions. Obvious symmetry transformations on the free-field data give symmetries of the model. In this way all known `hidden symmetries' and B\"acklund transformations, as well as a host of new symmetries, arise. |
2302.11013 | Netta Engelhardt | Lisa Yang and Netta Engelhardt | The Complexity of Learning (Pseudo)random Dynamics of Black Holes and
Other Chaotic Systems | 61+15 pages, 1 figure; v2: typos fixed, clarification added | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been recently proposed that the naive semiclassical prediction of
non-unitary black hole evaporation can be understood in the fundamental
description of the black hole as a consequence of ignorance of high-complexity
information. Validity of this conjecture implies that any algorithm which is
polynomially bounded in computational complexity cannot accurately reconstruct
the black hole dynamics. In this work, we prove that such bounded quantum
algorithms cannot accurately predict (pseudo)random unitary dynamics, even if
they are given access to an arbitrary set of polynomially complex observables
under this time evolution; this shows that "learning" a (pseudo)random unitary
is computationally hard. We use the common simplification of modeling black
holes and more generally chaotic systems via (pseudo)random dynamics. The
quantum algorithms that we consider are completely general, and their attempted
guess for the time evolution of black holes is likewise unconstrained: it need
not be a linear operator, and may be as general as an arbitrary (e.g.
decohering) quantum channel.
| [
{
"created": "Tue, 21 Feb 2023 21:26:25 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2023 16:11:09 GMT",
"version": "v2"
}
] | 2023-02-24 | [
[
"Yang",
"Lisa",
""
],
[
"Engelhardt",
"Netta",
""
]
] | It has been recently proposed that the naive semiclassical prediction of non-unitary black hole evaporation can be understood in the fundamental description of the black hole as a consequence of ignorance of high-complexity information. Validity of this conjecture implies that any algorithm which is polynomially bounded in computational complexity cannot accurately reconstruct the black hole dynamics. In this work, we prove that such bounded quantum algorithms cannot accurately predict (pseudo)random unitary dynamics, even if they are given access to an arbitrary set of polynomially complex observables under this time evolution; this shows that "learning" a (pseudo)random unitary is computationally hard. We use the common simplification of modeling black holes and more generally chaotic systems via (pseudo)random dynamics. The quantum algorithms that we consider are completely general, and their attempted guess for the time evolution of black holes is likewise unconstrained: it need not be a linear operator, and may be as general as an arbitrary (e.g. decohering) quantum channel. |
2305.08644 | Tanay Pathak | Tanay Pathak, Ramesh Sreekantan | Singularities of Feynman Integrals | Journal Version | The European Physical Journal Special Topics(2023) | 10.1140/epjs/s11734-023-01084-0 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this paper, we study the singularities of Feynman integrals using
homological techniques. We analyse the Feynman integrals by compactifying the
integration domain as well as the ambient space by embedding them in
higher-dimensional space. In this compactified space the singularities occur
due to the meeting of compactified propagators at non-general position. The
present analysis, which had been previously used only for the singularities of
second-type, is used to study other kinds of singularities viz threshold,
pseudo-threshold and anomalous threshold singularities. We study various
one-loop and two-loop examples and obtain their singularities. We also present
observations based on results obtained, that allow us to determine whether the
singularities lie on the physical sheet or not for some simple cases. Thus this
work at the frontier of our knowledge of Feynman integral calculus sheds
insight into the analytic structure.
| [
{
"created": "Mon, 15 May 2023 13:39:40 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Feb 2024 01:57:29 GMT",
"version": "v2"
}
] | 2024-02-06 | [
[
"Pathak",
"Tanay",
""
],
[
"Sreekantan",
"Ramesh",
""
]
] | In this paper, we study the singularities of Feynman integrals using homological techniques. We analyse the Feynman integrals by compactifying the integration domain as well as the ambient space by embedding them in higher-dimensional space. In this compactified space the singularities occur due to the meeting of compactified propagators at non-general position. The present analysis, which had been previously used only for the singularities of second-type, is used to study other kinds of singularities viz threshold, pseudo-threshold and anomalous threshold singularities. We study various one-loop and two-loop examples and obtain their singularities. We also present observations based on results obtained, that allow us to determine whether the singularities lie on the physical sheet or not for some simple cases. Thus this work at the frontier of our knowledge of Feynman integral calculus sheds insight into the analytic structure. |
hep-th/0310024 | Sylvain Ribault | Sylvain Ribault and Volker Schomerus | Branes in the 2D black hole | 37 pages, 8 figures, sign mistake in D2-brane spectrum corrected, see
equation (5.14) and footnote 8 | JHEP 0402 (2004) 019 | 10.1088/1126-6708/2004/02/019 | SPhT-T03/146, CPHT-RR 045.0803, KCL-MTH-03-15 | hep-th | null | We present a comprehensive analysis of branes in the Euclidean 2D black hole
(cigar). In particular, exact boundary states and annulus amplitudes are
provided for D0-branes which are localized at the tip of the cigar as well as
for two families of extended D1 and D2-branes. Our results are based on closely
related studies for the Euclidean AdS3 model and, as predicted by the
conjectured duality between the 2D black hole and the sine-Liouville model,
they share many features with branes in Liouville theory. New features arise
here due to the presence of closed string modes which are localized near the
tip of the cigar. The paper concludes with some remarks on possible
applications.
| [
{
"created": "Thu, 2 Oct 2003 17:21:23 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2004 12:26:03 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Feb 2005 18:36:09 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Ribault",
"Sylvain",
""
],
[
"Schomerus",
"Volker",
""
]
] | We present a comprehensive analysis of branes in the Euclidean 2D black hole (cigar). In particular, exact boundary states and annulus amplitudes are provided for D0-branes which are localized at the tip of the cigar as well as for two families of extended D1 and D2-branes. Our results are based on closely related studies for the Euclidean AdS3 model and, as predicted by the conjectured duality between the 2D black hole and the sine-Liouville model, they share many features with branes in Liouville theory. New features arise here due to the presence of closed string modes which are localized near the tip of the cigar. The paper concludes with some remarks on possible applications. |
hep-th/0111124 | Peter Forgacs | Peter Forgacs | A 2D integrable axion model and Target space duality | LateX, 21 pages, 1 figure. Improved version of a talk delivered at
the Johns Hopkins workshop `Non-perturbative QFT Methods and their
Applications', Budapest, 2000 | null | 10.1142/9789812799968_0021 | null | hep-th | null | A review is given on the recently proposed two dimensional axion model (O(3)
sigma-model with a dynamical Hopf-term) and the T-duality relating it to the
SU(2)xU(1) symmetric anisotropic sigma-model. Strong evidence is presented for
the correctness of the proposed S-matrix for both models comparing perturbative
and Thermodynamical Bethe Ansatz calculations for different types of free
energies. This also provides a very stringent test of the validity of T-duality
transformation at the quantum level. The quantum non-integrability of the O(3)
sigma-model with a non-dynamical Hopf-term, in contradistinction to the axion
model, is illustrated by calculating the 2-->3 particle production amplitude to
lowest order.
| [
{
"created": "Wed, 14 Nov 2001 11:19:42 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Forgacs",
"Peter",
""
]
] | A review is given on the recently proposed two dimensional axion model (O(3) sigma-model with a dynamical Hopf-term) and the T-duality relating it to the SU(2)xU(1) symmetric anisotropic sigma-model. Strong evidence is presented for the correctness of the proposed S-matrix for both models comparing perturbative and Thermodynamical Bethe Ansatz calculations for different types of free energies. This also provides a very stringent test of the validity of T-duality transformation at the quantum level. The quantum non-integrability of the O(3) sigma-model with a non-dynamical Hopf-term, in contradistinction to the axion model, is illustrated by calculating the 2-->3 particle production amplitude to lowest order. |
hep-th/0604043 | Arutyunov Gleb E | G. Arutyunov and S. Frolov | On AdS_5 x S^5 String S-matrix | 10 pages, version2: misprints are corrected | Phys.Lett.B639:378-382,2006 | 10.1016/j.physletb.2006.06.064 | AEI-2006-022, ITP-UU-06-15, SPIN-06-13 | hep-th | null | Recently two interesting conjectures about the string S-matrix on AdS_5 x S^5
have been made. First, assuming the existence of a Hopf algebra symmetry Janik
derived a functional equation for the dressing factor of the quantum string
Bethe ansatz. Second, Hernandez and Lopez proposed an explicit form of
1/\sqrt\lambda correction to the dressing factor. In this note we show that in
the strong coupling expansion Janik's equation is solved by the dressing factor
up to the order of its validity. This observation provides a strong evidence in
favor of a conjectured Hopf algebra symmetry for strings in AdS_5 x S^5 as well
as the perturbative string S-matrix.
| [
{
"created": "Thu, 6 Apr 2006 13:49:41 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 2006 14:01:53 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Arutyunov",
"G.",
""
],
[
"Frolov",
"S.",
""
]
] | Recently two interesting conjectures about the string S-matrix on AdS_5 x S^5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum string Bethe ansatz. Second, Hernandez and Lopez proposed an explicit form of 1/\sqrt\lambda correction to the dressing factor. In this note we show that in the strong coupling expansion Janik's equation is solved by the dressing factor up to the order of its validity. This observation provides a strong evidence in favor of a conjectured Hopf algebra symmetry for strings in AdS_5 x S^5 as well as the perturbative string S-matrix. |
2309.13413 | Adel Rezaei-Aghdam | A. Rezaei-Aghdam and A. Taghavi | Integrable sigma models with complex and generalized complex structures | 20 pages. Some corrections are added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Using the general method presented by Mohammedi \cite{NM} for the
integrability of a sigma model on a manifold, we investigate the conditions for
having an integrable deformation of the general sigma model on a manifold with
a complex structure. On a Lie group, these conditions are satisfied by using
the zeros of the Nijenhuis tensor. We then extend this formalism to a manifold,
especially a Lie group, with a generalized complex structure. We demonstrate
that, for the examples of integrable sigma models with generalized complex
structures on the Lie groups $\mathbf{A_{4,8}}$ and $\mathbf{A_{4,10}}$, under
special conditions, the perturbed terms of the actions are identical to the WZ
terms.
| [
{
"created": "Sat, 23 Sep 2023 15:55:08 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2024 13:13:47 GMT",
"version": "v2"
}
] | 2024-02-08 | [
[
"Rezaei-Aghdam",
"A.",
""
],
[
"Taghavi",
"A.",
""
]
] | Using the general method presented by Mohammedi \cite{NM} for the integrability of a sigma model on a manifold, we investigate the conditions for having an integrable deformation of the general sigma model on a manifold with a complex structure. On a Lie group, these conditions are satisfied by using the zeros of the Nijenhuis tensor. We then extend this formalism to a manifold, especially a Lie group, with a generalized complex structure. We demonstrate that, for the examples of integrable sigma models with generalized complex structures on the Lie groups $\mathbf{A_{4,8}}$ and $\mathbf{A_{4,10}}$, under special conditions, the perturbed terms of the actions are identical to the WZ terms. |
hep-th/0204202 | Michihiro Naka | Michihiro Naka | A Realization of N=1 ${\cal SW}(3/2,2)$ Algebras with Wolf Spaces | 7 pages, references added, published version | JHEP 0212 (2002) 059 | 10.1088/1126-6708/2002/12/059 | UT-Komaba/02-03 | hep-th | null | We find out that some unitary minimal models of the N=1 ${\cal SW}(3/2,2)$
superconformal algebra can be realized as the level one coset models based on
the Wolf spaces $SU(n)/(SU(n-2)\times SU(2))$. We obtain the expression of the
fermionic current with the conformal weight 5/2 in the algebra. Then, these
models are twisted to give the topological conformal field theories.
| [
{
"created": "Wed, 24 Apr 2002 10:54:48 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 2002 19:10:01 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Feb 2003 11:17:10 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Naka",
"Michihiro",
""
]
] | We find out that some unitary minimal models of the N=1 ${\cal SW}(3/2,2)$ superconformal algebra can be realized as the level one coset models based on the Wolf spaces $SU(n)/(SU(n-2)\times SU(2))$. We obtain the expression of the fermionic current with the conformal weight 5/2 in the algebra. Then, these models are twisted to give the topological conformal field theories. |
hep-th/0410081 | Martin Rocek | Martin Rocek and Neal Wadhwa | On Calabi-Yau supermanifolds II | 4 pages | null | null | YITP-SB-04-55 | hep-th | null | We study when Calabi-Yau supermanifolds M(1|2) with one complex bosonic
coordinate and two complex fermionic coordinates are super Ricci-flat, and find
that if the bosonic manifold is compact, it must have constant scalar
curvature.
| [
{
"created": "Thu, 7 Oct 2004 21:06:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rocek",
"Martin",
""
],
[
"Wadhwa",
"Neal",
""
]
] | We study when Calabi-Yau supermanifolds M(1|2) with one complex bosonic coordinate and two complex fermionic coordinates are super Ricci-flat, and find that if the bosonic manifold is compact, it must have constant scalar curvature. |
hep-th/9512095 | Dasmahapatra S. | Srinandan Dasmahapatra | On the combinatorics of row and corner transfer matrices of the
$A_{n-1}^{(1)}$ restricted face models | 36 pages, in LaTeX, uses epic.sty, eepic.sty macros (hopefully this
time the complete paper will go through!) | Int.J.Mod.Phys. A12 (1997) 3551-3586 | 10.1142/S0217751X97001845 | CMPS/95-114 | hep-th | null | We establish a weight-preserving bijection between the index sets of the
spectral data of row-to-row and corner transfer matrices for
$U_q\widehat{sl(n)}$ restricted interaction round a face (IRF) models. The
evaluation of momenta by adding Takahashi integers in the spin chain language
is shown to directly correspond to the computation of the energy of a path on
the weight lattice in the two-dimensional model. As a consequence we derive
fermionic forms of polynomial analogues of branching functions for the cosets
${(A^{(1)}_{n-1})_{\ell -1}\otimes (A^{(1)}_{n-1})_{1}} \over
(A^{(1)}_{n-1})_{\ell}$, and establish a bosonic-fermionic polynomial identity.
| [
{
"created": "Wed, 13 Dec 1995 17:17:26 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 1995 16:25:38 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Dasmahapatra",
"Srinandan",
""
]
] | We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for $U_q\widehat{sl(n)}$ restricted interaction round a face (IRF) models. The evaluation of momenta by adding Takahashi integers in the spin chain language is shown to directly correspond to the computation of the energy of a path on the weight lattice in the two-dimensional model. As a consequence we derive fermionic forms of polynomial analogues of branching functions for the cosets ${(A^{(1)}_{n-1})_{\ell -1}\otimes (A^{(1)}_{n-1})_{1}} \over (A^{(1)}_{n-1})_{\ell}$, and establish a bosonic-fermionic polynomial identity. |
1912.02663 | Xinan Zhou | Luis F. Alday, Xinan Zhou | Simplicity of AdS Supergravity at One Loop | 38 pages, 2 figures; v2: minor changes, published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the simplicity of $AdS_5\times S^5$ IIB supergravity at one
loop level, by studying non-planar holographic four-point correlators in Mellin
space. We develop a systematic algorithm for constructing one-loop Mellin
amplitudes from tree-level data, and obtain a simple closed form answer for the
$\langle
\mathcal{O}_2^{SG}\mathcal{O}_2^{SG}\mathcal{O}_p^{SG}\mathcal{O}_p^{SG}
\rangle$ correlators. The structure of this expression is remarkably simple,
containing only simultaneous poles in the Mellin variables. We also study the
flat space limit of the Mellin amplitudes, which reproduces precisely the IIB
supergravity one-loop amplitude in ten dimensions. Our results provide
nontrivial evidence for the persistence of the hidden conformal symmetry at one
loop.
| [
{
"created": "Thu, 5 Dec 2019 15:51:21 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Aug 2020 22:39:40 GMT",
"version": "v2"
}
] | 2020-09-01 | [
[
"Alday",
"Luis F.",
""
],
[
"Zhou",
"Xinan",
""
]
] | We demonstrate the simplicity of $AdS_5\times S^5$ IIB supergravity at one loop level, by studying non-planar holographic four-point correlators in Mellin space. We develop a systematic algorithm for constructing one-loop Mellin amplitudes from tree-level data, and obtain a simple closed form answer for the $\langle \mathcal{O}_2^{SG}\mathcal{O}_2^{SG}\mathcal{O}_p^{SG}\mathcal{O}_p^{SG} \rangle$ correlators. The structure of this expression is remarkably simple, containing only simultaneous poles in the Mellin variables. We also study the flat space limit of the Mellin amplitudes, which reproduces precisely the IIB supergravity one-loop amplitude in ten dimensions. Our results provide nontrivial evidence for the persistence of the hidden conformal symmetry at one loop. |
0707.3431 | Jens Anders Gesser | J. Ambjorn and J. A. Gesser | The nature of ZZ branes | 10 pages, footnote added | Phys.Lett.B659:718-722,2008 | 10.1016/j.physletb.2007.12.003 | null | hep-th | null | In minimal non-critical string theory we show that the principal (r,s) ZZ
brane can be viewed as the basic (1,1) ZZ boundary state tensored with the
(r,s) Cardy boundary state. In this sense there exists only one ZZ boundary
state, the basic (1,1) boundary state.
| [
{
"created": "Mon, 23 Jul 2007 18:26:18 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Dec 2007 19:49:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ambjorn",
"J.",
""
],
[
"Gesser",
"J. A.",
""
]
] | In minimal non-critical string theory we show that the principal (r,s) ZZ brane can be viewed as the basic (1,1) ZZ boundary state tensored with the (r,s) Cardy boundary state. In this sense there exists only one ZZ boundary state, the basic (1,1) boundary state. |
2307.08058 | Evangelos Filothodoros | Evangelos G. Filothodoros | Fermions coupled to Chern-Simons gauge field or imaginary chemical
potential and the Bloch theorem | null | null | null | null | hep-th | http://creativecommons.org/licenses/by-sa/4.0/ | I point out that the $U(N)$ Chern-Simons $3d$ theory coupled to fermions at
finite temperature and at a specific mean field approximation and the $3d$
Gross-Neveu model at finite temperature and imaginary chemical potential can
give us the same results for the thermodynamic values of the free-energy and
the saddle point equation for the thermal mass. I further argue that the
periodic structure of the imaginary chemical potential brings also Bloch's
theorem into the game. Namely, the vacuum structure of the fermionic system
with imaginary baryon density is a Bloch wave. I further emphasise that Bloch
waves correspond to fermionic (antisymmetric) or bosonic (symmetric)
quasi-particles depending on the point in the band one sits in.
| [
{
"created": "Sun, 16 Jul 2023 14:40:53 GMT",
"version": "v1"
}
] | 2023-07-18 | [
[
"Filothodoros",
"Evangelos G.",
""
]
] | I point out that the $U(N)$ Chern-Simons $3d$ theory coupled to fermions at finite temperature and at a specific mean field approximation and the $3d$ Gross-Neveu model at finite temperature and imaginary chemical potential can give us the same results for the thermodynamic values of the free-energy and the saddle point equation for the thermal mass. I further argue that the periodic structure of the imaginary chemical potential brings also Bloch's theorem into the game. Namely, the vacuum structure of the fermionic system with imaginary baryon density is a Bloch wave. I further emphasise that Bloch waves correspond to fermionic (antisymmetric) or bosonic (symmetric) quasi-particles depending on the point in the band one sits in. |
2209.00036 | Timofei Rusalev | D.S. Ageev, I.Ya. Aref'eva, A.I. Belokon, A.V. Ermakov, V.V.
Pushkarev, and T.A. Rusalev | Infrared Regularization and Finite Size Dynamics of Entanglement Entropy
in Schwarzschild Black Hole | v1: 55 pages, 19 figures; v2: 57 pages, 19 figures, references added,
Sec. 5 presentation improved; v3: 22 pages, 24 figures, title changed,
presentation improved, details added, references added, typos corrected,
style changed; v4: 22 pages, 24 figures, notations clarified; v5: 22 pages,
23 figures, one figure removed, some statements have been slightly corrected,
new links have been added | null | 10.1103/PhysRevD.108.046005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, infrared regularization of semi-infinite entangling regions
and island formation for regions of finite size in the eternal Schwarzschild
black hole are considered. We analyze whether the complementarity property and
pure state condition of entanglement entropy can be preserved in the given
approximation. We propose a special regularization that satisfies these two
properties. With regard to entangling regions of finite size, we derive two
fundamental types of them, which we call "mirror-symmetric" (MS) and
"asymmetric" (AS). For MS regions, we discover a discontinuous evolution of the
entanglement entropy of Hawking radiation due to finite lifetime of the island.
The entanglement entropy of matter for semi-infinite regions in two-sided
Schwarzschild black hole does not follow the Page curve. The lifetime of AS
regions is bounded from above due to the phenomenon that we call "Cauchy
surface breaking". Shortly before this breaking, the island configuration
becomes non-symmetric. For both types of finite regions, there is a critical
size, below which the island never dominates. For regions smaller than some
other critical size, the island does not emerge. Finally, we show that the
island prescription does not help to solve the information paradox for certain
finite regions.
| [
{
"created": "Wed, 31 Aug 2022 18:01:22 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2022 16:31:27 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Mar 2023 17:46:27 GMT",
"version": "v3"
},
{
"created": "Tue, 23 May 2023 11:24:09 GMT",
"version": "v4"
},
{
"created": "Fri, 8 Dec 2023 18:50:42 GMT",
"version": "v5"
}
] | 2023-12-11 | [
[
"Ageev",
"D. S.",
""
],
[
"Aref'eva",
"I. Ya.",
""
],
[
"Belokon",
"A. I.",
""
],
[
"Ermakov",
"A. V.",
""
],
[
"Pushkarev",
"V. V.",
""
],
[
"Rusalev",
"T. A.",
""
]
] | In this paper, infrared regularization of semi-infinite entangling regions and island formation for regions of finite size in the eternal Schwarzschild black hole are considered. We analyze whether the complementarity property and pure state condition of entanglement entropy can be preserved in the given approximation. We propose a special regularization that satisfies these two properties. With regard to entangling regions of finite size, we derive two fundamental types of them, which we call "mirror-symmetric" (MS) and "asymmetric" (AS). For MS regions, we discover a discontinuous evolution of the entanglement entropy of Hawking radiation due to finite lifetime of the island. The entanglement entropy of matter for semi-infinite regions in two-sided Schwarzschild black hole does not follow the Page curve. The lifetime of AS regions is bounded from above due to the phenomenon that we call "Cauchy surface breaking". Shortly before this breaking, the island configuration becomes non-symmetric. For both types of finite regions, there is a critical size, below which the island never dominates. For regions smaller than some other critical size, the island does not emerge. Finally, we show that the island prescription does not help to solve the information paradox for certain finite regions. |
2001.03097 | Sergei Aleshin | S.S.Aleshin, A.L.Kataev, K.V.Stepanyantz | The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various
renormalization prescriptions | 4 pages, submitted to the Proceedings of 19th Lomonosov Conference on
Elementary Particle Physics (Moscow State University, August 22-28, 2019) | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three-loop Adler $D$-function for ${\cal N}=1$ SQCD in the
$\overline{\mbox{DR}}$ scheme is calculated. It appears that the result does
not satisfy NSVZ-like equation which relates the $D$-function to the anomalous
dimension of the matter superfields. However this NSVZ-like equation can be
restored by a special tuning of the renormalization scheme. Also we demonstrate
that the $D$-function defined in terms of the bare coupling does not satisfy
the NSVZ-like equation in the case of using the regularization by dimensional
reduction. The scheme-dependence of the $D$-function written in the form of the
$\beta$-expansion is briefly discussed.
| [
{
"created": "Thu, 9 Jan 2020 16:52:36 GMT",
"version": "v1"
}
] | 2020-01-13 | [
[
"Aleshin",
"S. S.",
""
],
[
"Kataev",
"A. L.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | The three-loop Adler $D$-function for ${\cal N}=1$ SQCD in the $\overline{\mbox{DR}}$ scheme is calculated. It appears that the result does not satisfy NSVZ-like equation which relates the $D$-function to the anomalous dimension of the matter superfields. However this NSVZ-like equation can be restored by a special tuning of the renormalization scheme. Also we demonstrate that the $D$-function defined in terms of the bare coupling does not satisfy the NSVZ-like equation in the case of using the regularization by dimensional reduction. The scheme-dependence of the $D$-function written in the form of the $\beta$-expansion is briefly discussed. |
0710.3480 | Matthias Blau | Matthias Blau, Sebastian Weiss | Penrose Limits vs String Expansions | v2: 18 pages, streamlined version to appear in Class. Quantum Grav | Class.Quant.Grav.25:125014,2008 | 10.1088/0264-9381/25/12/125014 | null | hep-th gr-qc | null | We analyse the relation between two a priori quite different expansions of
the string equations of motion and constraints in a general curved background,
namely one based on the covariant Penrose-Fermi expansion of the metric
G_{\mu\nu} around a Penrose limit plane wave associated to a null geodesic
\gamma, and the other on the Riemann coordinate expansion in the exact metric
G_{\mu\nu} of the string embedding variables around the null geodesic \gamma.
Starting with the observation that there is a formal analogy between the exact
string equations in a plane wave and the first order string equations in a
general background, we show that this analogy becomes exact provided that one
chooses the background string configuration to be the null geodesic \gamma
itself. We then explore the higher-order correspondence between these two
expansions and find that for a general curved background they agree to all
orders provided that one works in Fermi coordinates and in the lightcone gauge.
Requiring moreover the conformal gauge restricts one to the usual class of
(Brinkmann) backgrounds admitting simultaneously the lightcone and the
conformal gauge, without further restrictions.
| [
{
"created": "Thu, 18 Oct 2007 11:08:12 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 2008 08:46:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Blau",
"Matthias",
""
],
[
"Weiss",
"Sebastian",
""
]
] | We analyse the relation between two a priori quite different expansions of the string equations of motion and constraints in a general curved background, namely one based on the covariant Penrose-Fermi expansion of the metric G_{\mu\nu} around a Penrose limit plane wave associated to a null geodesic \gamma, and the other on the Riemann coordinate expansion in the exact metric G_{\mu\nu} of the string embedding variables around the null geodesic \gamma. Starting with the observation that there is a formal analogy between the exact string equations in a plane wave and the first order string equations in a general background, we show that this analogy becomes exact provided that one chooses the background string configuration to be the null geodesic \gamma itself. We then explore the higher-order correspondence between these two expansions and find that for a general curved background they agree to all orders provided that one works in Fermi coordinates and in the lightcone gauge. Requiring moreover the conformal gauge restricts one to the usual class of (Brinkmann) backgrounds admitting simultaneously the lightcone and the conformal gauge, without further restrictions. |
hep-th/0111155 | Cumrun Vafa | Atish Dabholkar and Cumrun Vafa | tt* Geometry and Closed String Tachyon Potential | 10 pages | JHEP 0202 (2002) 008 | 10.1088/1126-6708/2002/02/008 | HUTP-01/A057, TIFR/TH/01-45 | hep-th | null | We propose a closed string tachyon action including kinetic and potential
terms for non-supersymmetric orbifolds. The action is given in terms of
solutions to $tt^*$ equations which captures the geometry of vacua of the
corresponding N=2 worldsheet theory. In certain cases the solutions are well
studied. In case of tachyons of ${\bf C}/Z_n$, solutions to affine toda
equations determine the action. We study the particular case of ${\bf C}/Z_3\to
{\bf C}$ in detail and find that the Tachyon action is determined in terms of a
solution to Painleve III equation.
| [
{
"created": "Fri, 16 Nov 2001 19:24:33 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dabholkar",
"Atish",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We propose a closed string tachyon action including kinetic and potential terms for non-supersymmetric orbifolds. The action is given in terms of solutions to $tt^*$ equations which captures the geometry of vacua of the corresponding N=2 worldsheet theory. In certain cases the solutions are well studied. In case of tachyons of ${\bf C}/Z_n$, solutions to affine toda equations determine the action. We study the particular case of ${\bf C}/Z_3\to {\bf C}$ in detail and find that the Tachyon action is determined in terms of a solution to Painleve III equation. |
1908.02768 | Florent Baume | Florent Baume, Michael Fuchs and Craig Lawrie | Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$
R-symmetry | 42 pages, ancillary Mathematica notebook listing all block
coefficients; minor corrections, published version | null | 10.1007/JHEP11(2019)164 | IFT-UAM/CSIC-19-112 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For SCFTs with an $SU(2)$ R-symmetry, we determine the superconformal blocks
that contribute to the four-point correlation function of a priori distinct
half-BPS superconformal primaries as an expansion in terms of the relevant
bosonic conformal blocks. This is achieved by using the superconformal Casimir
equation and the superconformal Ward identity to fix the coefficients of the
bosonic blocks uniquely in a dimension-independent way. In addition we find
that many of the resulting coefficients are related through a web of linear
transformations of the conformal data.
| [
{
"created": "Wed, 7 Aug 2019 18:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2020 14:00:24 GMT",
"version": "v2"
}
] | 2020-02-05 | [
[
"Baume",
"Florent",
""
],
[
"Fuchs",
"Michael",
""
],
[
"Lawrie",
"Craig",
""
]
] | For SCFTs with an $SU(2)$ R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Casimir equation and the superconformal Ward identity to fix the coefficients of the bosonic blocks uniquely in a dimension-independent way. In addition we find that many of the resulting coefficients are related through a web of linear transformations of the conformal data. |
2302.14318 | Onkar Parrikar | Onkar Parrikar and Vivek Singh | Canonical Purification and the Quantum Extremal Shock | 26 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the canonical purification (with respect to one of the parties) of
pure, bi-partite states obtained by turning on sources in the Euclidean path
integral. In holographic conformal field theories, the Lorentzian bulk dual of
the canonical purification consists of the corresponding entanglement wedge
glued to its CPT image at the quantum extremal surface. However, the mismatch
in the classical expansions at the QES due to quantum corrections needs to be
supported by a shock in the bulk matter stress tensor in order for the bulk to
satisfy Einstein's equations. Working perturbatively to first order in
double-trace sources around the thermofield double state, we demonstrate that
the state of the bulk matter in the dual to the canonically purified boundary
CFT state precisely has this quantum extremal shock in the bulk stress tensor.
We interpret our results as the emergence of gravitational physics from the CFT
entanglement structure in a context where bulk quantum corrections are
important.
| [
{
"created": "Tue, 28 Feb 2023 05:20:24 GMT",
"version": "v1"
}
] | 2023-03-01 | [
[
"Parrikar",
"Onkar",
""
],
[
"Singh",
"Vivek",
""
]
] | We study the canonical purification (with respect to one of the parties) of pure, bi-partite states obtained by turning on sources in the Euclidean path integral. In holographic conformal field theories, the Lorentzian bulk dual of the canonical purification consists of the corresponding entanglement wedge glued to its CPT image at the quantum extremal surface. However, the mismatch in the classical expansions at the QES due to quantum corrections needs to be supported by a shock in the bulk matter stress tensor in order for the bulk to satisfy Einstein's equations. Working perturbatively to first order in double-trace sources around the thermofield double state, we demonstrate that the state of the bulk matter in the dual to the canonically purified boundary CFT state precisely has this quantum extremal shock in the bulk stress tensor. We interpret our results as the emergence of gravitational physics from the CFT entanglement structure in a context where bulk quantum corrections are important. |
1709.04166 | Kazumi Okuyama | Kazumi Okuyama | Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM | 22 pages; v2: added reference; v3: version to appear in JHEP | null | 10.1007/JHEP12(2017)125 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We will argue that the 1/2 BPS Wilson loops in the anti-symmetric
representations in the $\mathcal{N}=4$ super Yang-Mills (SYM) theory exhibit a
phase transition at some critical value of the 't Hooft coupling of order
$N^2$. In the matrix model computation of Wilson loop expectation values, this
phase transition corresponds to the transition between the one-cut phase and
the two-cut phase. It turns out that the one-cut phase is smoothly connected to
the small 't Hooft coupling regime and the $1/N$ corrections of Wilson loops in
this phase can be systematically computed from the topological recursion in the
Gaussian matrix model.
| [
{
"created": "Wed, 13 Sep 2017 07:24:15 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2017 02:30:05 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Dec 2017 10:01:48 GMT",
"version": "v3"
}
] | 2018-01-17 | [
[
"Okuyama",
"Kazumi",
""
]
] | We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the $\mathcal{N}=4$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the 't Hooft coupling of order $N^2$. In the matrix model computation of Wilson loop expectation values, this phase transition corresponds to the transition between the one-cut phase and the two-cut phase. It turns out that the one-cut phase is smoothly connected to the small 't Hooft coupling regime and the $1/N$ corrections of Wilson loops in this phase can be systematically computed from the topological recursion in the Gaussian matrix model. |
0909.3065 | Inyong Cho | Inyong Cho and Gungwon Kang | Four dimensional string solutions in Ho\v{r}ava-Lifshitz gravity | 15 pages, references added, minor corrections made | JHEP 1007:034,2010 | 10.1007/JHEP07(2010)034 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate string-like solutions in four dimensions based on
Ho\v{r}ava-Lifshitz gravity. For a restricted class of solutions where the
Cotton tensor vanishes, we find that the string-like solutions in Einstein
gravity including the BTZ black strings are solutions in Ho\v{r}ava-Lifshitz
gravity as well. The geometry is warped in the same way as in Einstein gravity,
but the "conformal" lapse function is not constrained in Ho\v{r}ava-Lifshitz
gravity. It turns out that if $\lambda \ne 1$, there exist no other solutions.
For the value of model parameter with which Einstein gravity recovers in IR
limit (i.e., $\lambda=1$), there exists an additional solution of which the
conformal lapse function is determined. Interestingly, this solution admits a
uniform BTZ black string along the string direction, which is distinguished
from the warped BTZ black string in Einstein gravity. Therefore, it is a good
candidate for the test of the theory.
| [
{
"created": "Wed, 16 Sep 2009 17:13:21 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Oct 2009 16:09:07 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Cho",
"Inyong",
""
],
[
"Kang",
"Gungwon",
""
]
] | We investigate string-like solutions in four dimensions based on Ho\v{r}ava-Lifshitz gravity. For a restricted class of solutions where the Cotton tensor vanishes, we find that the string-like solutions in Einstein gravity including the BTZ black strings are solutions in Ho\v{r}ava-Lifshitz gravity as well. The geometry is warped in the same way as in Einstein gravity, but the "conformal" lapse function is not constrained in Ho\v{r}ava-Lifshitz gravity. It turns out that if $\lambda \ne 1$, there exist no other solutions. For the value of model parameter with which Einstein gravity recovers in IR limit (i.e., $\lambda=1$), there exists an additional solution of which the conformal lapse function is determined. Interestingly, this solution admits a uniform BTZ black string along the string direction, which is distinguished from the warped BTZ black string in Einstein gravity. Therefore, it is a good candidate for the test of the theory. |
2208.14827 | Niloofar Vardian | Niloofar Vardian | Entanglement Renormalization of the class of Continuous Matrix Product
States | 6 pages, 1 figure | null | 10.1103/PhysRevD.108.094029 | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Continuous tensor network gives a variational ansatz for the ground state of
the quantum field theories (QFTs). The notable examples are the continuous
matrix product state (cMPS) and the continuous multiscale entanglement
renormalization ansatz (cMERA). While cMPS is just adapted to the
non-relativistic QFTs, only the Gaussian cMERA is well-understood which we can
not use to approximate the ground state of the interacting relativistic QFTs.
But instead, cMERA also corresponds to a real-space renormalization group flow
in the context of the wave functions. In this letter, we investigate the
backward Gaussian cMERA renormalization group flow of the class of cMPS by
putting the standard cMPS at the IR scale. At the UV scale, for the bosonic
systems in the thermodynamic limit, we achieve the variational class of states
that has been proposed recently as the relativistic cMPS (RCMPS) is adapted to
the relativistic QFTs without requiring to introduce of any additional IR or UV
cut-off. We also extend the RCMPS to fermionic systems and theories on a finite
circle.
| [
{
"created": "Wed, 31 Aug 2022 12:56:15 GMT",
"version": "v1"
}
] | 2023-11-23 | [
[
"Vardian",
"Niloofar",
""
]
] | Continuous tensor network gives a variational ansatz for the ground state of the quantum field theories (QFTs). The notable examples are the continuous matrix product state (cMPS) and the continuous multiscale entanglement renormalization ansatz (cMERA). While cMPS is just adapted to the non-relativistic QFTs, only the Gaussian cMERA is well-understood which we can not use to approximate the ground state of the interacting relativistic QFTs. But instead, cMERA also corresponds to a real-space renormalization group flow in the context of the wave functions. In this letter, we investigate the backward Gaussian cMERA renormalization group flow of the class of cMPS by putting the standard cMPS at the IR scale. At the UV scale, for the bosonic systems in the thermodynamic limit, we achieve the variational class of states that has been proposed recently as the relativistic cMPS (RCMPS) is adapted to the relativistic QFTs without requiring to introduce of any additional IR or UV cut-off. We also extend the RCMPS to fermionic systems and theories on a finite circle. |
2009.02893 | Yasha Neiman | Adrian David and Yasha Neiman | Bulk interactions and boundary dual of higher-spin-charged particles | 48 pages, 2 figures; v2: JHEP version - expanded discussion and
references; v3: amended incorrect statements about gauge dependence, in light
of arXiv:2207.07507 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider higher-spin gravity in (Euclidean) AdS_4, dual to a free vector
model on the 3d boundary. In the bulk theory, we study the linearized version
of the Didenko-Vasiliev black hole solution: a particle that couples to the
gauge fields of all spins through a BPS-like pattern of charges. We study the
interaction between two such particles at leading order. The sum over spins
cancels the UV divergences that occur when the two particles are brought close
together, for (almost) any value of the relative velocity. This is a
higher-spin enhancement of supergravity's famous feature, the cancellation of
the electric and gravitational forces between two BPS particles at rest. In the
holographic context, we point out that these "Didenko-Vasiliev particles" are
just the bulk duals of bilocal operators in the boundary theory. For this
identification, we use the Penrose transform between bulk fields and twistor
functions, together with its holographic dual that relates twistor functions to
boundary sources. In the resulting picture, the interaction between two
Didenko-Vasiliev particles is just a geodesic Witten diagram that calculates
the correlator of two boundary bilocals. We speculate on implications for a
possible reformulation of the bulk theory, and for its non-locality issues.
| [
{
"created": "Mon, 7 Sep 2020 05:36:53 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 2021 04:49:23 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jul 2022 07:02:16 GMT",
"version": "v3"
}
] | 2022-07-26 | [
[
"David",
"Adrian",
""
],
[
"Neiman",
"Yasha",
""
]
] | We consider higher-spin gravity in (Euclidean) AdS_4, dual to a free vector model on the 3d boundary. In the bulk theory, we study the linearized version of the Didenko-Vasiliev black hole solution: a particle that couples to the gauge fields of all spins through a BPS-like pattern of charges. We study the interaction between two such particles at leading order. The sum over spins cancels the UV divergences that occur when the two particles are brought close together, for (almost) any value of the relative velocity. This is a higher-spin enhancement of supergravity's famous feature, the cancellation of the electric and gravitational forces between two BPS particles at rest. In the holographic context, we point out that these "Didenko-Vasiliev particles" are just the bulk duals of bilocal operators in the boundary theory. For this identification, we use the Penrose transform between bulk fields and twistor functions, together with its holographic dual that relates twistor functions to boundary sources. In the resulting picture, the interaction between two Didenko-Vasiliev particles is just a geodesic Witten diagram that calculates the correlator of two boundary bilocals. We speculate on implications for a possible reformulation of the bulk theory, and for its non-locality issues. |
hep-th/0311154 | Radu Roiban | Alex Buchel, Radu Roiban | Inflation in warped geometries | 17 pages, Latex | Phys.Lett. B590 (2004) 284-294 | 10.1016/j.physletb.2004.03.082 | NSF-KITP-03-102 | hep-th | null | We argue that brane anti-brane inflation in string theory de-Sitter vacua of
Kachru-Kallosh-Linde-Trivedi (KKLT) is captured by the dynamics of a D3-brane
probe in the local KKLT model constructed in hep-th/0203041. This provides a
framework to study in a controllable way corrections to the inflationary slow
roll parameter \eta due to conformal symmetry breaking in a warped geometry
throat. We compute the leading correction to \eta for the inflation in the
Klebanov-Tseytlin throat geometry. We find that in certain regime this
correction tends to decrease \eta. Computations in a different regime suggest
however that it is unlikely that \eta << 1 can be achieved with the D3-brane
throat inflation.
| [
{
"created": "Tue, 18 Nov 2003 17:56:31 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Buchel",
"Alex",
""
],
[
"Roiban",
"Radu",
""
]
] | We argue that brane anti-brane inflation in string theory de-Sitter vacua of Kachru-Kallosh-Linde-Trivedi (KKLT) is captured by the dynamics of a D3-brane probe in the local KKLT model constructed in hep-th/0203041. This provides a framework to study in a controllable way corrections to the inflationary slow roll parameter \eta due to conformal symmetry breaking in a warped geometry throat. We compute the leading correction to \eta for the inflation in the Klebanov-Tseytlin throat geometry. We find that in certain regime this correction tends to decrease \eta. Computations in a different regime suggest however that it is unlikely that \eta << 1 can be achieved with the D3-brane throat inflation. |
1702.01749 | Seung-Joo Lee | Seung-Joo Lee, Piljin Yi | D-Particles on Orientifolds and Rational Invariants | 38 pages | null | 10.1007/JHEP07(2017)046 | KIAS-P17009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the D0 bound state problems, of the M/IIA duality, with the
Orientifolds. The cases of O4 and O8 have been studied recently, from the
perspective of five-dimensional theories, while the case of O0 has been much
neglected. The computation we perform for D0-O0 states boils down to the Witten
indices for $\mathcal N=16$ $O(m)$ and $Sp(n)$ quantum mechanics, where we
adapt and extend previous analysis by the authors. The twisted partition
function $\Omega$, obtained via localization, proves to be rational, and we
establish a precise relation between $\Omega$ and the integral Witten index
$\mathcal I$, by identifying continuum contributions sector by sector. The
resulting Witten index shows surprisingly large numbers of threshold bound
states but in a manner consistent with M-theory. We close with an exploration
on how the ubiquitous rational invariants of the wall-crossing physics would
generalize to theories with Orientifolds.
| [
{
"created": "Mon, 6 Feb 2017 19:00:01 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Lee",
"Seung-Joo",
""
],
[
"Yi",
"Piljin",
""
]
] | We revisit the D0 bound state problems, of the M/IIA duality, with the Orientifolds. The cases of O4 and O8 have been studied recently, from the perspective of five-dimensional theories, while the case of O0 has been much neglected. The computation we perform for D0-O0 states boils down to the Witten indices for $\mathcal N=16$ $O(m)$ and $Sp(n)$ quantum mechanics, where we adapt and extend previous analysis by the authors. The twisted partition function $\Omega$, obtained via localization, proves to be rational, and we establish a precise relation between $\Omega$ and the integral Witten index $\mathcal I$, by identifying continuum contributions sector by sector. The resulting Witten index shows surprisingly large numbers of threshold bound states but in a manner consistent with M-theory. We close with an exploration on how the ubiquitous rational invariants of the wall-crossing physics would generalize to theories with Orientifolds. |
hep-th/0403062 | Patrick Meade | Csaba Csaki, Patrick Meade, John Terning | A Mixed Phase of SUSY Gauge Theories from a-Maximization | 18 pages, 3 figures | JHEP 0404:040,2004 | 10.1088/1126-6708/2004/04/040 | null | hep-th hep-ph | null | We study N=1 supersymmetric SU(N) gauge theories with an antisymmetric tensor
and F flavors using the recent proposal of a-maximization by Intriligator and
Wecht. This theory had previously been studied using the method of
"deconfinement", but such an analysis was not conclusive since anomalous
dimensions in the non-perturbative regime could not be calculated. Using
a-maximization we show that for a large range of F the theory is at an
interacting superconformal fixed point. However, we also find evidence that for
a range of F the theory in the IR splits into a free "magnetic" gauge sector
and an interacting superconformal sector.
| [
{
"created": "Fri, 5 Mar 2004 20:57:12 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Csaki",
"Csaba",
""
],
[
"Meade",
"Patrick",
""
],
[
"Terning",
"John",
""
]
] | We study N=1 supersymmetric SU(N) gauge theories with an antisymmetric tensor and F flavors using the recent proposal of a-maximization by Intriligator and Wecht. This theory had previously been studied using the method of "deconfinement", but such an analysis was not conclusive since anomalous dimensions in the non-perturbative regime could not be calculated. Using a-maximization we show that for a large range of F the theory is at an interacting superconformal fixed point. However, we also find evidence that for a range of F the theory in the IR splits into a free "magnetic" gauge sector and an interacting superconformal sector. |
0712.2025 | Alex Buchel | Paolo Benincasa, Alex Buchel, Michal P. Heller and Romuald A. Janik | On the supergravity description of boost invariant conformal plasma at
strong coupling | 26 pages, no figures; v2: references added | Phys.Rev.D77:046006,2008 | 10.1103/PhysRevD.77.046006 | UWO-TH-07/18 | hep-th | null | We study string theory duals of the expanding boost invariant conformal gauge
theory plasmas at strong coupling. The dual supergravity background is
constructed as an asymptotic late-time expansion, corresponding to
equilibration of the gauge theory plasma. The absence of curvature
singularities in the first few orders of the late-time expansion of the dual
gravitational background unambiguously determines the equilibrium equation of
the state, and the shear viscosity of the gauge theory plasma. While the
absence of the leading pole singularities in the gravitational curvature
invariants at the third order in late-time expansion determines the relaxation
time of the plasma, the subleading logarithmic singularity can not be canceled
within a supergravity approximation. Thus, a supergravity approximation to a
dual description of the strongly coupled boost invariant expanding plasma is
inconsistent. Nevertheless we find that the relaxation time determined from
cancellation of pole singularities is quite robust.
| [
{
"created": "Wed, 12 Dec 2007 19:49:46 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Dec 2007 10:18:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Benincasa",
"Paolo",
""
],
[
"Buchel",
"Alex",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Janik",
"Romuald A.",
""
]
] | We study string theory duals of the expanding boost invariant conformal gauge theory plasmas at strong coupling. The dual supergravity background is constructed as an asymptotic late-time expansion, corresponding to equilibration of the gauge theory plasma. The absence of curvature singularities in the first few orders of the late-time expansion of the dual gravitational background unambiguously determines the equilibrium equation of the state, and the shear viscosity of the gauge theory plasma. While the absence of the leading pole singularities in the gravitational curvature invariants at the third order in late-time expansion determines the relaxation time of the plasma, the subleading logarithmic singularity can not be canceled within a supergravity approximation. Thus, a supergravity approximation to a dual description of the strongly coupled boost invariant expanding plasma is inconsistent. Nevertheless we find that the relaxation time determined from cancellation of pole singularities is quite robust. |
hep-th/9210069 | Jouko Mickelsson | Jouko Mickelsson | Hilbert space cocycles as representations of $(3+1)-$ D current algebras | This is an AMSTEX file, 10 pages. It was written using | Lett.Math.Phys.28:97-106,1993 | 10.1007/BF00750302 | null | hep-th | null | It is proposed that instead of normal representations one should look at
cocycles of group extensions valued in certain groups of unitary operators
acting in a Hilbert space (e.g the Fock space of chiral fermions), when dealing
with groups associated to current algebras in gauge theories in $3+1$
space-time dimensions. The appropriate cocycle is evaluated in the case of the
group of smooth maps from the physical three-space to a compact Lie group. The
cocyclic representation of a component $X$ of the current is obtained through
two regularizations, 1) a conjugation by a background potential dependent
unitary operator $h_A,$ 2) by a subtraction $-h_A^{-1}\Cal L_X h_A,$ where
$\Cal L_X$ is a derivative along a gauge orbit. It is only the total operator
$h_A^{-1} Xh_A-h_A^{-1}\Cal L_X h_A$ which is quantizable in the Fock space
using the usual normal ordering subtraction.
| [
{
"created": "Tue, 13 Oct 1992 13:24:31 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Mickelsson",
"Jouko",
""
]
] | It is proposed that instead of normal representations one should look at cocycles of group extensions valued in certain groups of unitary operators acting in a Hilbert space (e.g the Fock space of chiral fermions), when dealing with groups associated to current algebras in gauge theories in $3+1$ space-time dimensions. The appropriate cocycle is evaluated in the case of the group of smooth maps from the physical three-space to a compact Lie group. The cocyclic representation of a component $X$ of the current is obtained through two regularizations, 1) a conjugation by a background potential dependent unitary operator $h_A,$ 2) by a subtraction $-h_A^{-1}\Cal L_X h_A,$ where $\Cal L_X$ is a derivative along a gauge orbit. It is only the total operator $h_A^{-1} Xh_A-h_A^{-1}\Cal L_X h_A$ which is quantizable in the Fock space using the usual normal ordering subtraction. |
1202.4103 | Nikolay Gromov | Nikolay Gromov, Pedro Vieira | Quantum Integrability for Three-Point Functions | 4 pages, 3 figures | Phys. Rev. Lett. 111, 211601 (2013) | 10.1103/PhysRevLett.111.211601 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum corrections to three-point functions of scalar single trace operators
in planar N=4 Super-Yang-Mills theory are studied using integrability. At one
loop, we find new algebraic structures that not only govern all two loop
corrections to the mixing of the operators but also automatically incorporate
all one loop diagrams correcting the tree level Wick contractions. Speculations
about possible extensions of our construction to all loop orders are given. We
also match our results with the strong coupling predictions in the classical
(Frolov-Tseytlin) limit.
| [
{
"created": "Sat, 18 Feb 2012 20:48:38 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2012 17:17:30 GMT",
"version": "v2"
}
] | 2013-11-27 | [
[
"Gromov",
"Nikolay",
""
],
[
"Vieira",
"Pedro",
""
]
] | Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit. |
1101.4294 | Joseph Ben Geloun | Joseph Ben Geloun and Valentin Bonzom | Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point
function | 24 pages, 3 figures, typos corrected | Int.J.Theor.Phys.50:2819-2841,2011 | 10.1007/s10773-011-0782-2 | pi-qg-208, ICMPA-MPA/002/2011 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Boulatov-Ooguri tensor model generates a sum over spacetime topologies
for the $D$-dimensional BF theory. We study here the quantum corrections to the
propagator of the theory. In particular, we find that the radiative corrections
at the second order in the coupling constant yield a mass renormalization. They
also exhibit a divergence which cannot be balanced with a counter-term in the
initial action, and which usually corresponds to the wave-function
renormalization.
| [
{
"created": "Sat, 22 Jan 2011 15:18:39 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2011 14:29:59 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Bonzom",
"Valentin",
""
]
] | The Boulatov-Ooguri tensor model generates a sum over spacetime topologies for the $D$-dimensional BF theory. We study here the quantum corrections to the propagator of the theory. In particular, we find that the radiative corrections at the second order in the coupling constant yield a mass renormalization. They also exhibit a divergence which cannot be balanced with a counter-term in the initial action, and which usually corresponds to the wave-function renormalization. |
hep-th/9606039 | Oren Bergman | Oren Bergman | Evidence for String Substructure | Latex file, 21 pages, 11 postscript figures | null | null | UFIFT-HEP-96-13 | hep-th | null | We argue that the behavior of string theory at high temperature and high
longitudinal boosts, combined with the emergence of p-branes as necessary
ingredients in various string dualities, point to a possible reformulation of
strings, as well as p-branes, as composites of bits. We review the string-bit
models, and suggest generalizations to incorporate p-branes.
| [
{
"created": "Fri, 7 Jun 1996 15:41:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bergman",
"Oren",
""
]
] | We argue that the behavior of string theory at high temperature and high longitudinal boosts, combined with the emergence of p-branes as necessary ingredients in various string dualities, point to a possible reformulation of strings, as well as p-branes, as composites of bits. We review the string-bit models, and suggest generalizations to incorporate p-branes. |
hep-th/0610146 | Haji Ahmedov | H. Ahmedov | Casimir Effect in Hyperbolic Polygons | Latex, 16 | J.Phys.A40:10611-10624,2007 | 10.1088/1751-8113/40/34/016 | null | hep-th | null | We derive a trace formula for the spectra of quantum mechanical systems in
hyperbolic polygons which are the fundamental domains of discrete isometry
groups acting in the two dimensional hyperboloid. Using this trace formula and
the point splitting regularization method we calculate the Casimir energy for a
scalar fields in such domains. The dependence of the vacuum energy on the
number of vertexes is established.
| [
{
"created": "Thu, 12 Oct 2006 16:38:11 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2006 10:34:58 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2006 13:14:10 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Ahmedov",
"H.",
""
]
] | We derive a trace formula for the spectra of quantum mechanical systems in hyperbolic polygons which are the fundamental domains of discrete isometry groups acting in the two dimensional hyperboloid. Using this trace formula and the point splitting regularization method we calculate the Casimir energy for a scalar fields in such domains. The dependence of the vacuum energy on the number of vertexes is established. |
hep-th/0103219 | Johanna Erdmenger | Johanna Erdmenger (MIT) | A Field-theoretical Interpretation of the Holographic Renormalization
Group | 24 pages, LaTeX, no figures; references added, typos corrected,
paragraph added to section 6 | Phys.Rev. D64 (2001) 085012 | 10.1103/PhysRevD.64.085012 | MIT-CTP-3102 | hep-th | null | A quantum-field theoretical interpretation is given to the holographic RG
equation by relating it to a field-theoretical local RG equation which
determines how Weyl invariance is broken in a quantized field theory. Using
this approach we determine the relation between the holographic C theorem and
the C theorem in two-dimensional quantum field theory which relies on the
Zamolodchikov metric. Similarly we discuss how in four dimensions the
holographic C function is related to a conjectured field-theoretical C
function. The scheme dependence of the holographic RG due to the possible
presence of finite local counterterms is discussed in detail, as well as its
implications for the holographic C function. We also discuss issues special to
the situation when mass deformations are present. Furthermore we suggest that
the holographic RG equation may also be obtained from a bulk diffeomorphism
which reduces to a Weyl transformation on the boundary.
| [
{
"created": "Mon, 26 Mar 2001 23:11:11 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2001 19:33:45 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Erdmenger",
"Johanna",
"",
"MIT"
]
] | A quantum-field theoretical interpretation is given to the holographic RG equation by relating it to a field-theoretical local RG equation which determines how Weyl invariance is broken in a quantized field theory. Using this approach we determine the relation between the holographic C theorem and the C theorem in two-dimensional quantum field theory which relies on the Zamolodchikov metric. Similarly we discuss how in four dimensions the holographic C function is related to a conjectured field-theoretical C function. The scheme dependence of the holographic RG due to the possible presence of finite local counterterms is discussed in detail, as well as its implications for the holographic C function. We also discuss issues special to the situation when mass deformations are present. Furthermore we suggest that the holographic RG equation may also be obtained from a bulk diffeomorphism which reduces to a Weyl transformation on the boundary. |
2011.05035 | Ilya Kochergin | E. T. Akhmedov, A. A. Artemev, I. V. Kochergin | On interacting quantum fields in various charts of anti de Sitter
space-time | 30 pages, 3 figures, minor simplifications | Phys. Rev. D 103, 045009 (2021) | 10.1103/PhysRevD.103.045009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The goal of the present note is to understand whether it is possible to
define interacting quantum field theory in global anti de Sitter space-time
with Lorentzian signature, in its covering space-time (whose time coordinate is
not periodic) and in its Poincare patch. We show that in global anti de Sitter
space-time there are certain problems to define quantum field theory properly.
This is due to an additional UV singularity of the Feynman propagator which is
sitting on the light-cone emanating from the antipodal point of the source.
There is no such singularity in flat space-time. At the same time quantum field
theory in Poincare region of the AdS space-time can be well defined and is
related to the one in Euclidean AdS via the analytical continuation. In
principle one can also define and analytically continue quantum field theory in
the covering anti de Sitter space-time. However, to do that one has to use an
unusual $i\epsilon$-prescription in the Feynman propagator, which cannot be
used in loop calculations in non-stationary situations.
| [
{
"created": "Tue, 10 Nov 2020 10:56:17 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2021 20:00:40 GMT",
"version": "v2"
}
] | 2021-02-17 | [
[
"Akhmedov",
"E. T.",
""
],
[
"Artemev",
"A. A.",
""
],
[
"Kochergin",
"I. V.",
""
]
] | The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in its covering space-time (whose time coordinate is not periodic) and in its Poincare patch. We show that in global anti de Sitter space-time there are certain problems to define quantum field theory properly. This is due to an additional UV singularity of the Feynman propagator which is sitting on the light-cone emanating from the antipodal point of the source. There is no such singularity in flat space-time. At the same time quantum field theory in Poincare region of the AdS space-time can be well defined and is related to the one in Euclidean AdS via the analytical continuation. In principle one can also define and analytically continue quantum field theory in the covering anti de Sitter space-time. However, to do that one has to use an unusual $i\epsilon$-prescription in the Feynman propagator, which cannot be used in loop calculations in non-stationary situations. |
1302.2902 | Evgeny A. Ivanov | Evgeny A. Ivanov and Andrei V. Smilga | Quasicomplex N=2, d=1 Supersymmetric Sigma Models | null | SIGMA 9 (2013), 069, 17 pages | 10.3842/SIGMA.2013.069 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We derive and discuss a new type of N=2 supersymmetric quantum mechanical
sigma models which appear when the superfield action of the (1,2,1) multiplets
is modified by adding an imaginary antisymmetric tensor to the target space
metric, thus completing the latter to a non-symmetric Hermitian metric. These
models are not equivalent to the standard de Rham sigma models, but are related
to them through a certain special similarity transformation of the
supercharges. On the other hand, they can be obtained by a Hamiltonian
reduction from the complex supersymmetric N=2 sigma models built on the
multiplets (2,2,0) and describing the Dolbeault complex on the manifolds with
proper isometries. We study in detail the extremal two-dimensional case, when
the target space metric is defined solely by the antisymmetric tensor, and show
that the corresponding quantum systems reveal a hidden N=4 supersymmetry.
| [
{
"created": "Tue, 12 Feb 2013 20:26:12 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2013 05:41:39 GMT",
"version": "v2"
}
] | 2013-11-19 | [
[
"Ivanov",
"Evgeny A.",
""
],
[
"Smilga",
"Andrei V.",
""
]
] | We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non-symmetric Hermitian metric. These models are not equivalent to the standard de Rham sigma models, but are related to them through a certain special similarity transformation of the supercharges. On the other hand, they can be obtained by a Hamiltonian reduction from the complex supersymmetric N=2 sigma models built on the multiplets (2,2,0) and describing the Dolbeault complex on the manifolds with proper isometries. We study in detail the extremal two-dimensional case, when the target space metric is defined solely by the antisymmetric tensor, and show that the corresponding quantum systems reveal a hidden N=4 supersymmetry. |
hep-th/9406204 | Jean-Bruno Erismann | A. Jadczyk | Topics in Quantum Dynamics | 31 pages, latex, 2 fig | null | null | CPT-94/P.3022 | hep-th | null | The paper consists of two parts. In the first part Schroedinger's equation
for a charged quantum particle in a Galilei-Newton curved space-time is derived
in a fully geometrical way. Gravitational and electromagnetic fields are coded
into space metric and space-time connection. The fundamental geometrical object
is a quantum connection in a Hermitian line bundle over the 7-dimensional jet
space of 3-velocities. The secondary object is the bundle of Hilbert spaces
over absolute time. Time appears as a superselection quantity while Shroedinger
equation is interpreted as parallel transport in this bundle. In the second
part the problem of measurement in quantum theory is discussed as a part of a
more general problem of coupling between quantum and classical systems. The
standard framework of quantum theory is extended so as to allow for dynamical
central observables within dissipative dynamics. It is shown that within this
approach one obtains not only Liouville equation that describes statistical
ensembles, but also a piecewise-deterministic random process describing
sequences of "events" that can be monitored by a continuous observation of the
single, coupled classical system. It also describes "quantum jumps" or "wave
packet reductions" that accompany these events. Two example are worked out in
some details. The last one deals with the problem oof "how to determine the
wave function ?".
| [
{
"created": "Thu, 30 Jun 1994 09:14:56 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Jadczyk",
"A.",
""
]
] | The paper consists of two parts. In the first part Schroedinger's equation for a charged quantum particle in a Galilei-Newton curved space-time is derived in a fully geometrical way. Gravitational and electromagnetic fields are coded into space metric and space-time connection. The fundamental geometrical object is a quantum connection in a Hermitian line bundle over the 7-dimensional jet space of 3-velocities. The secondary object is the bundle of Hilbert spaces over absolute time. Time appears as a superselection quantity while Shroedinger equation is interpreted as parallel transport in this bundle. In the second part the problem of measurement in quantum theory is discussed as a part of a more general problem of coupling between quantum and classical systems. The standard framework of quantum theory is extended so as to allow for dynamical central observables within dissipative dynamics. It is shown that within this approach one obtains not only Liouville equation that describes statistical ensembles, but also a piecewise-deterministic random process describing sequences of "events" that can be monitored by a continuous observation of the single, coupled classical system. It also describes "quantum jumps" or "wave packet reductions" that accompany these events. Two example are worked out in some details. The last one deals with the problem oof "how to determine the wave function ?". |
2311.07960 | Babak Haghighat BH | Babak Haghighat, Yihua Liu, Nicolai Reshetikhin | Flat Connections from Irregular Conformal Blocks | 30 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this work we study Liouville conformal blocks with degenerate primaries
and one operator in an irregular representation of the Virasoro algebra. Using
an algebraic approach, we derive modified BPZ equations satisfied by such
blocks and subsequently construct corresponding integral representations based
on integration over non-compact Lefschetz cycles. The integral representations
are then used to derive novel types of flat connections on the irregular
conformal block bundle.
| [
{
"created": "Tue, 14 Nov 2023 07:26:05 GMT",
"version": "v1"
}
] | 2023-11-15 | [
[
"Haghighat",
"Babak",
""
],
[
"Liu",
"Yihua",
""
],
[
"Reshetikhin",
"Nicolai",
""
]
] | In this work we study Liouville conformal blocks with degenerate primaries and one operator in an irregular representation of the Virasoro algebra. Using an algebraic approach, we derive modified BPZ equations satisfied by such blocks and subsequently construct corresponding integral representations based on integration over non-compact Lefschetz cycles. The integral representations are then used to derive novel types of flat connections on the irregular conformal block bundle. |
hep-th/9806019 | Chi-Wei Herbert Lee | C.-W. H. Lee and S. G. Rajeev | Integrability of Supersymmetric Quantum Matrix Models in the Large-N
Limit | 11 pages, LaTeX2e; minor changes, citations added | Phys.Lett. B436 (1998) 91-96 | 10.1016/S0370-2693(98)00834-X | null | hep-th cond-mat.str-el nlin.SI solv-int | null | Many physical systems like supersymmetric Yang-Mills theories are formulated
as quantum matrix models. We discuss how to apply the Beth ansatz to exactly
solve some supersymmetric quantum matrix models in the large-N limit. Toy
models are constructed out of the one-dimensional Hubbard and t-J models as
illustrations.
| [
{
"created": "Tue, 2 Jun 1998 18:13:01 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 1998 20:17:16 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lee",
"C. -W. H.",
""
],
[
"Rajeev",
"S. G.",
""
]
] | Many physical systems like supersymmetric Yang-Mills theories are formulated as quantum matrix models. We discuss how to apply the Beth ansatz to exactly solve some supersymmetric quantum matrix models in the large-N limit. Toy models are constructed out of the one-dimensional Hubbard and t-J models as illustrations. |
hep-th/9512031 | Mirjam Cvetic | Mirjam Cvetic (University of Pennsylvania), Arkady A. Tseytlin
(Imperial College) | Solitonic Strings and BPS Saturated Dyonic Black Holes | 27 Pages, uses RevTeX (solution for the axion field corrected,
erratum to appear in Phys. Rev. D) | Phys.Rev.D53:5619-5633,1996; Erratum-ibid.D55:3907,1997 | 10.1103/PhysRevD.53.5619 10.1103/PhysRevD.55.3907 | IASSNS-HEP-95/102, Imperial/TP/95-96/14 | hep-th | null | We consider a six-dimensional solitonic string solution described by a
conformal chiral null model with non-trivial $N=4$ superconformal transverse
part. It can be interpreted as a five-dimensional dyonic solitonic string wound
around a compact fifth dimension. The conformal model is regular with the
short-distance (`throat') region equivalent to a WZW theory. At distances
larger than the compactification scale the solitonic string reduces to a dyonic
static spherically-symmetric black hole of toroidally compactified heterotic
string. The new four-dimensional solution is parameterised by five charges,
saturates the Bogomol'nyi bound and has nontrivial dilaton-axion field and
moduli fields of two-torus. When acted by combined T- and S-duality
transformations it serves as a generating solution for all the static
spherically-symmetric BPS-saturated configurations of the low-energy heterotic
string theory compactified on six-torus. Solutions with regular horizons have
the global space-time structure of extreme Reissner-Nordstrom black holes with
the non-zero thermodynamic entropy which depends only on conserved (quantised)
charge vectors. The independence of the thermodynamic entropy on moduli and
axion-dilaton couplings strongly suggests that it should have a microscopic
interpretation as counting degeneracy of underlying string configurations. This
interpretation is supported by arguments based on the corresponding
six-dimensional conformal field theory. The expression for the level of the WZW
theory describing the throat region implies a renormalisation of the string
tension by a product of magnetic charges, thus relating the entropy and the
number of oscillations of the solitonic string in compact directions.
| [
{
"created": "Wed, 6 Dec 1995 05:45:23 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 1996 01:56:11 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Nov 1996 00:55:15 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Cvetic",
"Mirjam",
"",
"University of Pennsylvania"
],
[
"Tseytlin",
"Arkady A.",
"",
"Imperial College"
]
] | We consider a six-dimensional solitonic string solution described by a conformal chiral null model with non-trivial $N=4$ superconformal transverse part. It can be interpreted as a five-dimensional dyonic solitonic string wound around a compact fifth dimension. The conformal model is regular with the short-distance (`throat') region equivalent to a WZW theory. At distances larger than the compactification scale the solitonic string reduces to a dyonic static spherically-symmetric black hole of toroidally compactified heterotic string. The new four-dimensional solution is parameterised by five charges, saturates the Bogomol'nyi bound and has nontrivial dilaton-axion field and moduli fields of two-torus. When acted by combined T- and S-duality transformations it serves as a generating solution for all the static spherically-symmetric BPS-saturated configurations of the low-energy heterotic string theory compactified on six-torus. Solutions with regular horizons have the global space-time structure of extreme Reissner-Nordstrom black holes with the non-zero thermodynamic entropy which depends only on conserved (quantised) charge vectors. The independence of the thermodynamic entropy on moduli and axion-dilaton couplings strongly suggests that it should have a microscopic interpretation as counting degeneracy of underlying string configurations. This interpretation is supported by arguments based on the corresponding six-dimensional conformal field theory. The expression for the level of the WZW theory describing the throat region implies a renormalisation of the string tension by a product of magnetic charges, thus relating the entropy and the number of oscillations of the solitonic string in compact directions. |
1406.0504 | Don N. Page | Don N. Page | Spacetime Average Density (SAD) Cosmological Measures | 20 pages, LateX. At the advice of the JCAP editor, I greatly
shortened the list of references by more than a factor of 3 (see Version 1
for the expanded list) and shortened the Introduction | null | 10.1088/1475-7516/2014/11/038 | Alberta-Thy-10-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The measure problem of cosmology is how to obtain normalized probabilities of
observations from the quantum state of the universe. This is particularly a
problem when eternal inflation leads to a universe of unbounded size so that
there are apparently infinitely many realizations or occurrences of
observations of each of many different kinds or types, making the ratios
ambiguous. There is also the danger of domination by Boltzmann Brains. Here two
new Spacetime Average Density (SAD) measures are proposed, Maximal Average
Density (MAD) and Biased Average Density (BAD), for getting a finite number of
observation occurrences by using properties of the Spacetime Average Density
(SAD) of observation occurrences to restrict to finite regions of spacetimes
that have a preferred beginning or bounce hypersurface. These measures avoid
Boltzmann brain domination and appear to give results consistent with other
observations that are problematic for other widely used measures, such as the
observation of a positive cosmological constant.
| [
{
"created": "Mon, 2 Jun 2014 20:00:08 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2014 23:44:11 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Page",
"Don N.",
""
]
] | The measure problem of cosmology is how to obtain normalized probabilities of observations from the quantum state of the universe. This is particularly a problem when eternal inflation leads to a universe of unbounded size so that there are apparently infinitely many realizations or occurrences of observations of each of many different kinds or types, making the ratios ambiguous. There is also the danger of domination by Boltzmann Brains. Here two new Spacetime Average Density (SAD) measures are proposed, Maximal Average Density (MAD) and Biased Average Density (BAD), for getting a finite number of observation occurrences by using properties of the Spacetime Average Density (SAD) of observation occurrences to restrict to finite regions of spacetimes that have a preferred beginning or bounce hypersurface. These measures avoid Boltzmann brain domination and appear to give results consistent with other observations that are problematic for other widely used measures, such as the observation of a positive cosmological constant. |
2310.11847 | Jon Chkareuli | J.L. Chkareuli | On gravity unification in SL(2N,C) gauge theories | 26 pages, published version, to appear in Phys Rev D. arXiv admin
note: text overlap with arXiv:2208.01478 | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The local $SL(2N,C)$ symmetry is shown to provide, when appropriately
constrained, a viable framework for a consistent unification of the known
elementary forces, including gravity. Such a covariant constraint implies that
an actual gauge field multiplet in the $SL(2N,C)$ theory is ultimately
determined by the associated tetrad fields which not only specify the geometric
features of spacetime but also govern which local internal symmetries are
permissible within it. As a consequence, upon the covariant removal of all
"redundant" gauge field components, the entire theory only exhibits the
effective $SL(2,C)\times SU(N)$ symmetry, comprising $SL(2,C)$ gauge gravity on
one hand and $SU(N)$ grand unified theory on the other. Given that all states
involved in the $SL(2N,C)$ theories are additionally classified according to
their spin values, many potential $SU(N)$ GUTs, including the conventional
$SU(5)$ theory, appear to be irrelevant for standard spin $1/2$ quarks and
leptons. Meanwhile, applying the $SL(2N,C)$ symmetry to the model of composite
quarks and leptons with constituent chiral preons in its fundamental
representations reveals, under certain natural conditions, that among all
accompanying $SU(N)_{L}\times SU(N)_{R}$ chiral symmetries of preons and their
composites only the $SU(8)_{L}\times SU(8)_{R}$ meets the anomaly matching
condition ensuring masslessness of these composites at large distances. This,
in turn, identifies $SL(16,C)$ with the effective $SL(2,C)\times SU(8)$
symmetry, accommodating all three families of composite quarks and leptons, as
the most likely candidate for hyperunification of the existing elementary
forces.
| [
{
"created": "Wed, 18 Oct 2023 09:53:55 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2024 17:37:52 GMT",
"version": "v2"
}
] | 2024-04-19 | [
[
"Chkareuli",
"J. L.",
""
]
] | The local $SL(2N,C)$ symmetry is shown to provide, when appropriately constrained, a viable framework for a consistent unification of the known elementary forces, including gravity. Such a covariant constraint implies that an actual gauge field multiplet in the $SL(2N,C)$ theory is ultimately determined by the associated tetrad fields which not only specify the geometric features of spacetime but also govern which local internal symmetries are permissible within it. As a consequence, upon the covariant removal of all "redundant" gauge field components, the entire theory only exhibits the effective $SL(2,C)\times SU(N)$ symmetry, comprising $SL(2,C)$ gauge gravity on one hand and $SU(N)$ grand unified theory on the other. Given that all states involved in the $SL(2N,C)$ theories are additionally classified according to their spin values, many potential $SU(N)$ GUTs, including the conventional $SU(5)$ theory, appear to be irrelevant for standard spin $1/2$ quarks and leptons. Meanwhile, applying the $SL(2N,C)$ symmetry to the model of composite quarks and leptons with constituent chiral preons in its fundamental representations reveals, under certain natural conditions, that among all accompanying $SU(N)_{L}\times SU(N)_{R}$ chiral symmetries of preons and their composites only the $SU(8)_{L}\times SU(8)_{R}$ meets the anomaly matching condition ensuring masslessness of these composites at large distances. This, in turn, identifies $SL(16,C)$ with the effective $SL(2,C)\times SU(8)$ symmetry, accommodating all three families of composite quarks and leptons, as the most likely candidate for hyperunification of the existing elementary forces. |
hep-th/0010292 | Bernard de Wit | Bernard de Wit | M-theory duality and BPS-extended supergravity | 10 pages, LaTeX, Proceedings Strings 2000 | Int.J.Mod.Phys. A16 (2001) 1002 | 10.1142/S0217751X01004074 | ITP-UU-00/28; SPIN-00/26 | hep-th | null | We discuss toroidal compactifications of maximal supergravity coupled to an
extended configuration of BPS states which transform consistently under the
U-duality group. Under certain conditions this leads to theories that live in
more than eleven spacetime dimensions, with maximal supersymmetry but only
partial Lorentz invariance. We demonstrate certain features of this
construction for the case of nine-dimensional N=2 supergravity.
| [
{
"created": "Tue, 31 Oct 2000 17:44:53 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"de Wit",
"Bernard",
""
]
] | We discuss toroidal compactifications of maximal supergravity coupled to an extended configuration of BPS states which transform consistently under the U-duality group. Under certain conditions this leads to theories that live in more than eleven spacetime dimensions, with maximal supersymmetry but only partial Lorentz invariance. We demonstrate certain features of this construction for the case of nine-dimensional N=2 supergravity. |
hep-th/9606118 | Tomas Ortin Miguel | Eric Bergshoeff, Mees de Roo, Tomas Ortin | The Eleven-Dimensional Five-Brane | LaTeX file, 13pages | Phys.Lett. B386 (1996) 85-90 | 10.1016/0370-2693(96)00913-6 | UG--6/96, CERN--TH/96--152 | hep-th | null | We consider the action, in arbitrary curved background, of the
eleven-dimensional five-brane to second order in the curvature of the
worldvolume tensor field. We show that this action gives upon double
dimensional reduction the action of the Dirichlet four-brane up to the same
order. We use this result as a starting point to discuss the structure of the
action including terms of higher order in the worldvolume curvature.
| [
{
"created": "Wed, 19 Jun 1996 15:21:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bergshoeff",
"Eric",
""
],
[
"de Roo",
"Mees",
""
],
[
"Ortin",
"Tomas",
""
]
] | We consider the action, in arbitrary curved background, of the eleven-dimensional five-brane to second order in the curvature of the worldvolume tensor field. We show that this action gives upon double dimensional reduction the action of the Dirichlet four-brane up to the same order. We use this result as a starting point to discuss the structure of the action including terms of higher order in the worldvolume curvature. |
1312.1686 | Aram Saharian | S. Bellucci, E. R. Bezerra de Mello, A. A. Saharian | Finite temperature fermionic condensate and currents in topologically
nontrivial spaces | 31 pages, 7 figures | Phys. Rev. D 89, 085002 (2014) | 10.1103/PhysRevD.89.085002 | null | hep-th cond-mat.mes-hall gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the finite temperature fermionic condensate and the
expectation values of the charge and current densities for a massive fermion
field in a spacetime background with an arbitrary number of toroidally
compactified spatial dimensions in the presence of a non-vanishing chemical
potential. Periodicity conditions along compact dimensions are taken with
arbitrary phases and the presence of a constant gauge field is assumed. The
latter gives rise to Aharonov-Bohm-like effects on the expectation values. They
are periodic functions of magnetic fluxes enclosed by compact dimensions with
the period equal to the flux quantum. The current density has nonzero
components along compact dimensions only. Both low- and high-temperature
asymptotics of the expectation values are studied. In particular, it has been
shown that at high temperatures the current density is exponentially
suppressed. This behavior is in sharp contrast with the corresponding
asymptotic in the case of a scalar field, where the current density linearly
grows with the temperature. The features for the models in odd dimensional
spacetimes are discussed. Applications are given to cylindrical and toroidal
nanotubes described within the framework of effective Dirac theory for the
electronic subsystem.
| [
{
"created": "Thu, 5 Dec 2013 13:21:57 GMT",
"version": "v1"
}
] | 2014-04-23 | [
[
"Bellucci",
"S.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] | We investigate the finite temperature fermionic condensate and the expectation values of the charge and current densities for a massive fermion field in a spacetime background with an arbitrary number of toroidally compactified spatial dimensions in the presence of a non-vanishing chemical potential. Periodicity conditions along compact dimensions are taken with arbitrary phases and the presence of a constant gauge field is assumed. The latter gives rise to Aharonov-Bohm-like effects on the expectation values. They are periodic functions of magnetic fluxes enclosed by compact dimensions with the period equal to the flux quantum. The current density has nonzero components along compact dimensions only. Both low- and high-temperature asymptotics of the expectation values are studied. In particular, it has been shown that at high temperatures the current density is exponentially suppressed. This behavior is in sharp contrast with the corresponding asymptotic in the case of a scalar field, where the current density linearly grows with the temperature. The features for the models in odd dimensional spacetimes are discussed. Applications are given to cylindrical and toroidal nanotubes described within the framework of effective Dirac theory for the electronic subsystem. |
2204.10249 | Walker Melton | Eduardo Casali, Walker Melton, Andrew Strominger | Celestial Amplitudes as AdS-Witten Diagrams | 16 pages, 3 figures. Version to appear in the Journal of High Energy
Physics | null | 10.1007/JHEP11(2022)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Both celestial and momentum space amplitudes in four dimensions are beset by
divergences resulting from spacetime translation and sometimes scale
invariance. In this paper we consider a (linearized) marginal deformation of
the celestial CFT for Yang-Mills theory which preserves 2D conformal invariance
but breaks both spacetime translation and scale invariance and involves a
chirally coupled massive scalar. The resulting celestial amplitudes are
completely finite (apart from the usual soft and collinear divergences) and
take the canonical CFT form. Moreover, we show they can be simply rewritten in
terms of AdS$_3$-Witten contact diagrams which evaluate to the well-known
$D$-functions, thereby forging a direct connection between flat and AdS
holography.
| [
{
"created": "Thu, 21 Apr 2022 16:33:23 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 20:30:21 GMT",
"version": "v2"
}
] | 2022-12-14 | [
[
"Casali",
"Eduardo",
""
],
[
"Melton",
"Walker",
""
],
[
"Strominger",
"Andrew",
""
]
] | Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT for Yang-Mills theory which preserves 2D conformal invariance but breaks both spacetime translation and scale invariance and involves a chirally coupled massive scalar. The resulting celestial amplitudes are completely finite (apart from the usual soft and collinear divergences) and take the canonical CFT form. Moreover, we show they can be simply rewritten in terms of AdS$_3$-Witten contact diagrams which evaluate to the well-known $D$-functions, thereby forging a direct connection between flat and AdS holography. |
1004.1284 | Alexander Zhidenko | R. A. Konoplya, A. Zhidenko | Passage of radiation through wormholes of arbitrary shape | 10 pages, 11 figures, the automatic procedure for calculations of the
6th order WKB quasinormal modes and reflection/transmission coefficients can
be found on https://goo.gl/nykYGL | Phys.Rev.D81:124036,2010 | 10.1103/PhysRevD.81.124036 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quasinormal modes and scattering properties via calculation of the
$S$-matrix for scalar and electromagnetic fields propagating in the background
of spherically and axially symmetric, traversable Lorentzian wormholes of a
generic shape. Such wormholes are described by the Morris-Thorne ansatz and its
axially symmetric generalization. The properties of quasinormal ringing and
scattering are shown to be determined by the behavior of the wormhole's shape
function $b(r)$ and shift factor $\Phi(r)$ near the throat. In particular,
wormholes with the shape function $b(r)$, such that $b'(r) \approx 1$, have
very long-lived quasinormal modes in the spectrum. We have proved that the
axially symmetric traversable Lorentzian wormholes, unlike black holes and
other compact rotating objects, do not allow for superradiance. As a by product
we have shown that the 6th order WKB formula used for scattering problems of
black or wormholes provides high accuracy and thus can be used for quite
accurate calculations of the Hawking radiation processes around various black
holes.
| [
{
"created": "Thu, 8 Apr 2010 08:51:53 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Apr 2010 15:21:50 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Apr 2010 18:54:59 GMT",
"version": "v3"
},
{
"created": "Fri, 11 Jun 2010 20:02:32 GMT",
"version": "v4"
},
{
"created": "Sun, 1 Apr 2018 20:11:54 GMT",
"version": "v5"
}
] | 2018-04-03 | [
[
"Konoplya",
"R. A.",
""
],
[
"Zhidenko",
"A.",
""
]
] | We study quasinormal modes and scattering properties via calculation of the $S$-matrix for scalar and electromagnetic fields propagating in the background of spherically and axially symmetric, traversable Lorentzian wormholes of a generic shape. Such wormholes are described by the Morris-Thorne ansatz and its axially symmetric generalization. The properties of quasinormal ringing and scattering are shown to be determined by the behavior of the wormhole's shape function $b(r)$ and shift factor $\Phi(r)$ near the throat. In particular, wormholes with the shape function $b(r)$, such that $b'(r) \approx 1$, have very long-lived quasinormal modes in the spectrum. We have proved that the axially symmetric traversable Lorentzian wormholes, unlike black holes and other compact rotating objects, do not allow for superradiance. As a by product we have shown that the 6th order WKB formula used for scattering problems of black or wormholes provides high accuracy and thus can be used for quite accurate calculations of the Hawking radiation processes around various black holes. |
hep-th/0212309 | Artur Sergyeyev | Artur Sergyeyev | On Parasupersymmetries in Relativistic Coulomb Problem for the Modified
Stueckelberg Equation | 5 pages, LaTeX, no figures (updated version with corrected misprints
and slightly improved English, compared to the original publication) | SymmetryNonlin.Math.Phys.2:331-335,1997 | null | null | hep-th | null | This paper presents a first example of parasupersymmetric relativistic
quantum-mechanical model with non-oscillator-like interaction: the Coulomb
problem for the modified Stueckelberg equation, describing a relativistic
massive spin-1 particle in the electromagnetic field of a point charge.
| [
{
"created": "Thu, 26 Dec 2002 13:17:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sergyeyev",
"Artur",
""
]
] | This paper presents a first example of parasupersymmetric relativistic quantum-mechanical model with non-oscillator-like interaction: the Coulomb problem for the modified Stueckelberg equation, describing a relativistic massive spin-1 particle in the electromagnetic field of a point charge. |
0805.0036 | Changhyun Ahn | Changhyun Ahn | More on Meta-Stable Brane Configurations by Dualizing the Multiple Gauge
Groups | 44 pp, 6 figures; the acknowledgements corrected and to appear in
IJMPA | Int.J.Mod.Phys.A25:861-902,2010 | 10.1142/S0217751X10047907 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reexamine the N=1 supersymmetric gauge theories with product gauge groups
by adding the mass terms and the quartic terms for the flavors: two gauge group
theory with fundamentals, bifundamentals and adjoints, three gauge group theory
with fundamentals and bifundamentals, and their orientifold 4-plane
generalizations. By moving the branes appropriately, we obtain the
corresponding dual gauge theories. By analyzing the dual superpotentials, we
present the type IIA nonsupersymmetric meta-stable brane configurations.
| [
{
"created": "Thu, 1 May 2008 01:16:32 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Oct 2009 12:29:32 GMT",
"version": "v2"
}
] | 2010-03-02 | [
[
"Ahn",
"Changhyun",
""
]
] | We reexamine the N=1 supersymmetric gauge theories with product gauge groups by adding the mass terms and the quartic terms for the flavors: two gauge group theory with fundamentals, bifundamentals and adjoints, three gauge group theory with fundamentals and bifundamentals, and their orientifold 4-plane generalizations. By moving the branes appropriately, we obtain the corresponding dual gauge theories. By analyzing the dual superpotentials, we present the type IIA nonsupersymmetric meta-stable brane configurations. |
1109.3097 | Harold Steinacker | Daniel N. Blaschke, Harold Steinacker | On the 1-loop effective action for the IKKT model and non-commutative
branes | 38 pages | JHEP 1110:120,2011 | 10.1007/JHEP10(2011)120 | UWThPh-2011-29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the one-loop effective action of the IKKT or IIB model on a
4-dimensional non-commutative brane background. The trace-U(1) sector is
governed by non-commutativity, and leads - assuming no SUSY breaking - to a
higher-derivative effective action. In contrast, the non-Abelian sector at low
energies reduces to SU(n) N=4 Super-Yang-Mills on the brane, with a global
SO(9,1) symmetry broken spontaneously by the background. In the Coulomb branch,
we recover the leading contribution to the Dirac-Born-Infeld (DBI) action,
exhibiting a S^5 \times AdS^5 bulk geometry around a stack of branes. SUSY may
be broken by compact extra dimensions M^4 x K, leading to an induced
gravitational action on M^4 due to the trace-U(1) sector. The one-loop
effective action is UV finite on such backgrounds, and the UV/IR mixing is
non-pathological.
| [
{
"created": "Wed, 14 Sep 2011 14:42:04 GMT",
"version": "v1"
}
] | 2011-11-04 | [
[
"Blaschke",
"Daniel N.",
""
],
[
"Steinacker",
"Harold",
""
]
] | We study the one-loop effective action of the IKKT or IIB model on a 4-dimensional non-commutative brane background. The trace-U(1) sector is governed by non-commutativity, and leads - assuming no SUSY breaking - to a higher-derivative effective action. In contrast, the non-Abelian sector at low energies reduces to SU(n) N=4 Super-Yang-Mills on the brane, with a global SO(9,1) symmetry broken spontaneously by the background. In the Coulomb branch, we recover the leading contribution to the Dirac-Born-Infeld (DBI) action, exhibiting a S^5 \times AdS^5 bulk geometry around a stack of branes. SUSY may be broken by compact extra dimensions M^4 x K, leading to an induced gravitational action on M^4 due to the trace-U(1) sector. The one-loop effective action is UV finite on such backgrounds, and the UV/IR mixing is non-pathological. |
0803.0698 | Mikhail Shifman | M. Shifman, A. Yung | Large-N Solution of the Heterotic N=(0,2) Two-Dimensional CP(N-1) Model | 23 pages, 6 figures/v.2: 2 expressions corrected, minor textual
changes, 1 reference added | Phys.Rev.D77:125017,2008; Erratum-ibid.D81:089906,2010 | 10.1103/PhysRevD.77.125017 10.1103/PhysRevD.81.089906 | FTPI-MINN-08/07, UMN-TH-2638/08, ITEP-TH-10/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue explorations of non-Abelian strings, focusing on the solution of
a heterotic deformation of the CP(N-1) model with an extra right-handed fermion
field and N=(0,2) supersymmetry. This model emerges as a low-energy theory on
the worldsheet of the BPS-saturated flux tubes (strings) in N=2 supersymmetric
QCD deformed by a superpotential of a special type breaking N=2 supersymmetry
down to N=1. Using large-N expansion we solve this model to the leading order
in 1/N. Our solution exhibits spontaneous supersymmetry breaking for all values
of the deformation parameter. We identify the Goldstino field. The discrete
Z_{2N} symmetry is shown to be spontaneously broken down to Z_2; therefore, the
worldsheet model has N strictly degenerate vacua (with nonvanishing vacuum
energy). Thus, the heterotic CP(N-1) model is in the deconfinement phase. We
can compare this dynamical pattern, on the one hand, with the N=(2,2) CP(N-1)
model which has N degenerate vacua with unbroken supersymmetry, and, on the
other hand, with nonsupersymmetric CP(N-1) model with split quasivacua and the
Coulomb/confining phase. We determine the mass spectrum of the heterotic
CP(N-1) model in the large-N limit.
| [
{
"created": "Wed, 5 Mar 2008 16:26:44 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 2010 20:50:21 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] | We continue explorations of non-Abelian strings, focusing on the solution of a heterotic deformation of the CP(N-1) model with an extra right-handed fermion field and N=(0,2) supersymmetry. This model emerges as a low-energy theory on the worldsheet of the BPS-saturated flux tubes (strings) in N=2 supersymmetric QCD deformed by a superpotential of a special type breaking N=2 supersymmetry down to N=1. Using large-N expansion we solve this model to the leading order in 1/N. Our solution exhibits spontaneous supersymmetry breaking for all values of the deformation parameter. We identify the Goldstino field. The discrete Z_{2N} symmetry is shown to be spontaneously broken down to Z_2; therefore, the worldsheet model has N strictly degenerate vacua (with nonvanishing vacuum energy). Thus, the heterotic CP(N-1) model is in the deconfinement phase. We can compare this dynamical pattern, on the one hand, with the N=(2,2) CP(N-1) model which has N degenerate vacua with unbroken supersymmetry, and, on the other hand, with nonsupersymmetric CP(N-1) model with split quasivacua and the Coulomb/confining phase. We determine the mass spectrum of the heterotic CP(N-1) model in the large-N limit. |
1110.2688 | Kiril Hristov | Kiril Hristov, Chiara Toldo and Stefan Vandoren | On BPS bounds in D=4 N=2 gauged supergravity | 23 pages; v2 typos corrected, published version; v3 typos in Eqs.
(3.6) and (3.31) corrected | JHEP12 (2011) 014 | 10.1007/JHEP12(2011)014 | ITP--UU--11/37; SPIN--11/28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the BPS bounds in minimal gauged supergravity in four spacetime
dimensions. We concentrate on asymptotically anti-de Sitter (AdS) spacetimes,
and find that there exist two disconnected BPS ground states of the theory,
depending on the presence of magnetic charge. Each of these ground states comes
with a different superalgebra and a different BPS bound, which we derive. As a
byproduct, we also demonstrate how the supersymmetry algebra has a built-in
holographic renormalization method to define finite conserved charges.
| [
{
"created": "Wed, 12 Oct 2011 16:08:44 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 18:29:58 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2011 13:36:44 GMT",
"version": "v3"
}
] | 2015-05-30 | [
[
"Hristov",
"Kiril",
""
],
[
"Toldo",
"Chiara",
""
],
[
"Vandoren",
"Stefan",
""
]
] | We determine the BPS bounds in minimal gauged supergravity in four spacetime dimensions. We concentrate on asymptotically anti-de Sitter (AdS) spacetimes, and find that there exist two disconnected BPS ground states of the theory, depending on the presence of magnetic charge. Each of these ground states comes with a different superalgebra and a different BPS bound, which we derive. As a byproduct, we also demonstrate how the supersymmetry algebra has a built-in holographic renormalization method to define finite conserved charges. |
1410.3297 | Thomas Mertens | David Dudal, Thomas G. Mertens | The melting of charmonium in a magnetic field from an effective AdS/QCD
model | 22 pages, v2: matches published version | Phys. Rev. D 91, 086002 (2015) | 10.1103/PhysRevD.91.086002 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the influence of a background magnetic field on the melting of the
J/psi vector meson by introducing a Born-Infeld modification of the soft-wall
model. Out of the three polarizations of the massive vector meson, we find that
the longitudinal one (parallel to the applied magnetic field) melts only at an
even higher temperature than the deconfinement temperature, whereas the two
transverse polarizations melt at a lower temperature than in the absence of a
magnetic field. We also conduct a preliminary investigation of the effect of
the magnetic field on the heavy quark diffusion coefficient, showing an
increased diffusion constant for the longitudinal polarization with respect to
the transverse polarizations.
| [
{
"created": "Mon, 13 Oct 2014 13:13:57 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2015 08:04:58 GMT",
"version": "v2"
}
] | 2015-04-21 | [
[
"Dudal",
"David",
""
],
[
"Mertens",
"Thomas G.",
""
]
] | We study the influence of a background magnetic field on the melting of the J/psi vector meson by introducing a Born-Infeld modification of the soft-wall model. Out of the three polarizations of the massive vector meson, we find that the longitudinal one (parallel to the applied magnetic field) melts only at an even higher temperature than the deconfinement temperature, whereas the two transverse polarizations melt at a lower temperature than in the absence of a magnetic field. We also conduct a preliminary investigation of the effect of the magnetic field on the heavy quark diffusion coefficient, showing an increased diffusion constant for the longitudinal polarization with respect to the transverse polarizations. |
0904.0509 | Peter Koroteev | Ivan Gordeli, Peter Koroteev | Comments on Holography with Broken Lorentz Invariance | 10 pages, published in PRD | Phys.Rev.D80:126001,2009 | 10.1103/PhysRevD.80.126001 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently a family of solutions of Einstein equations in backgrounds with
broken Lorentz invariance was found ArXiv:0712.1136. We show that the
gravitational solution recently obtained by Kachru, Liu and Mulligan in
ArXiv:0808.1725 is a part of the former solution which was derived earlier in
the framework of extra dimensional theories. We show how the energy-momentum
and Einstein tensors are related and establish a correspondence between
parameters which govern Lorentz invariance violation. Then we demonstrate that
scaling behavior of two point correlation functions of local operators in
scalar field theory is reproduced correctly for two cases with critical values
of scaling parameters. Therefore, we complete the dictionary of "tree-level"
duality for all known solutions of the bulk theory. In the end we speculate on
relations between RG flow of a boundary theory and asymptotic behavior of
gravitational solutions in the bulk.
| [
{
"created": "Fri, 3 Apr 2009 19:53:02 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2009 18:46:35 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2009 15:24:07 GMT",
"version": "v3"
}
] | 2009-12-17 | [
[
"Gordeli",
"Ivan",
""
],
[
"Koroteev",
"Peter",
""
]
] | Recently a family of solutions of Einstein equations in backgrounds with broken Lorentz invariance was found ArXiv:0712.1136. We show that the gravitational solution recently obtained by Kachru, Liu and Mulligan in ArXiv:0808.1725 is a part of the former solution which was derived earlier in the framework of extra dimensional theories. We show how the energy-momentum and Einstein tensors are related and establish a correspondence between parameters which govern Lorentz invariance violation. Then we demonstrate that scaling behavior of two point correlation functions of local operators in scalar field theory is reproduced correctly for two cases with critical values of scaling parameters. Therefore, we complete the dictionary of "tree-level" duality for all known solutions of the bulk theory. In the end we speculate on relations between RG flow of a boundary theory and asymptotic behavior of gravitational solutions in the bulk. |
2211.09549 | Sanhita Parihar | Suvankar Dutta, Taniya Mandal and Sanhita Parihar | TsT vs. LCR and Gravity Dual of Non-relativistic Fluid | 40 pages, 1 figure, 13 tables | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We discuss two different approaches to synthesise holographic
non-relativistic fluid from its relativistic counterpart. In the first approach
we obtain the non-relativistic fluid by light-cone reduction of a relativistic
conformal fluid. In the second approach we consider the bulk dual of the
relativistic fluid, uplift the solution to 10 dimensions and perform TsT
transformations on the bulk solution to change the asymptotic structure.
Reducing the TsT transformed geometry over $S^5$ we find an effective 5
dimensional locally boosted solution. We then use the bulk-boundary dictionary
to compute the non-relativistic constitutive relations. We show that the
non-relativistic fluids obtained by these two methods are equivalent up to
second order in derivative expansion. Our results also provide explicit
expressions for different constitutive relations and transports of holographic
$U(1)$ charged non-relativistic fluids (both parity odd and even) up to second
order in derivative expansion.
| [
{
"created": "Thu, 17 Nov 2022 14:12:18 GMT",
"version": "v1"
}
] | 2022-11-18 | [
[
"Dutta",
"Suvankar",
""
],
[
"Mandal",
"Taniya",
""
],
[
"Parihar",
"Sanhita",
""
]
] | We discuss two different approaches to synthesise holographic non-relativistic fluid from its relativistic counterpart. In the first approach we obtain the non-relativistic fluid by light-cone reduction of a relativistic conformal fluid. In the second approach we consider the bulk dual of the relativistic fluid, uplift the solution to 10 dimensions and perform TsT transformations on the bulk solution to change the asymptotic structure. Reducing the TsT transformed geometry over $S^5$ we find an effective 5 dimensional locally boosted solution. We then use the bulk-boundary dictionary to compute the non-relativistic constitutive relations. We show that the non-relativistic fluids obtained by these two methods are equivalent up to second order in derivative expansion. Our results also provide explicit expressions for different constitutive relations and transports of holographic $U(1)$ charged non-relativistic fluids (both parity odd and even) up to second order in derivative expansion. |
1509.07587 | Alessandro Torrielli | Ben Hoare, Antonio Pittelli and Alessandro Torrielli | The S-matrix algebra of the AdS2 X S2 superstring | 27 pages, no figures; Version to appear in Phys. Rev. D | Phys. Rev. D 93, 066006 (2016) | 10.1103/PhysRevD.93.066006 | HU-EP-42, DMUS-MP-15/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we find the Yangian algebra responsible for the integrability
of the AdS2 X S2 X T^6 superstring in the planar limit. We demonstrate the
symmetry of the corresponding exact S-matrix in the massive sector, including
the presence of the secret symmetry. We give two alternative presentations of
the Hopf algebra, along with related discussions on the issue of evaluation
representations. We study the classical r-matrix, and re-discover the need for
a secret symmetry also in this context. Finally, taking the simplifying
zero-coupling limit of the S-matrix as a generating R-matrix for the Algebraic
Bethe Ansatz, we obtain an effective model of free fermions on a periodic
spin-chain. This limit should provide hints to the one-loop anomalous dimension
of the mysterious superconformal quantum mechanics dual to the superstring
theory in this geometry.
| [
{
"created": "Fri, 25 Sep 2015 05:22:31 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2016 11:43:14 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Hoare",
"Ben",
""
],
[
"Pittelli",
"Antonio",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | In this paper we find the Yangian algebra responsible for the integrability of the AdS2 X S2 X T^6 superstring in the planar limit. We demonstrate the symmetry of the corresponding exact S-matrix in the massive sector, including the presence of the secret symmetry. We give two alternative presentations of the Hopf algebra, along with related discussions on the issue of evaluation representations. We study the classical r-matrix, and re-discover the need for a secret symmetry also in this context. Finally, taking the simplifying zero-coupling limit of the S-matrix as a generating R-matrix for the Algebraic Bethe Ansatz, we obtain an effective model of free fermions on a periodic spin-chain. This limit should provide hints to the one-loop anomalous dimension of the mysterious superconformal quantum mechanics dual to the superstring theory in this geometry. |
1904.09292 | Udit Narayan Chowdhury | Udit Narayan Chowdhury | Holographic Description of Noncommutative Schwinger Effect | Published at Advances in High Energy Physics, Hindawi | Advances in High Energy Physics, vol. 2021, Article ID 6648322 | 10.1155/2021/6648322 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the phenomenon of spontaneous pair production in presence of an
external electric field for noncommutative Yang Mills theories. Using
Maldacena's holographic conjecture the threshold electric field for pair
production is computed from the quark-antiquark potential for noncommutative
theories. As an effect of noncommutativity, the threshold electric field is
seen to be smaller than its commutative counterpart. We also estimate the
correction to the pair production rate of quark-antiquark pairs to the first
order of the noncommutative deformation parameter. Our result bears resemblance
with an earlier work (based on field theoretic methods).
| [
{
"created": "Fri, 19 Apr 2019 01:55:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2019 09:06:59 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 2020 06:36:05 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Apr 2021 10:40:33 GMT",
"version": "v4"
},
{
"created": "Tue, 27 Apr 2021 08:06:29 GMT",
"version": "v5"
}
] | 2021-04-28 | [
[
"Chowdhury",
"Udit Narayan",
""
]
] | We consider the phenomenon of spontaneous pair production in presence of an external electric field for noncommutative Yang Mills theories. Using Maldacena's holographic conjecture the threshold electric field for pair production is computed from the quark-antiquark potential for noncommutative theories. As an effect of noncommutativity, the threshold electric field is seen to be smaller than its commutative counterpart. We also estimate the correction to the pair production rate of quark-antiquark pairs to the first order of the noncommutative deformation parameter. Our result bears resemblance with an earlier work (based on field theoretic methods). |
hep-th/9412216 | null | S.Naftulin | Quantum reparametrizations in the two-dimensional gravity: a look from
2+$epsilon$ dimensions | 16 pages,LATEX file. This paper removed because it is identical to
hep-th/9501011 | null | null | ISC-94-1 | hep-th | null | We discuss the structure of one-loop counterterms for the two-dimensional
theory of gravitation in the covariant scheme and study the effect of quantum
reparametrizations.Some of them are shown to be equivalent to the introduction
of 2+$epsilon$-dimensional terms into the initially 2-dimensional theory. We
also argue that the beta-function for the Einstein constant has a non-trivial
ultraviolet stable point beyond two dimensions.
| [
{
"created": "Mon, 26 Dec 1994 12:44:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Naftulin",
"S.",
""
]
] | We discuss the structure of one-loop counterterms for the two-dimensional theory of gravitation in the covariant scheme and study the effect of quantum reparametrizations.Some of them are shown to be equivalent to the introduction of 2+$epsilon$-dimensional terms into the initially 2-dimensional theory. We also argue that the beta-function for the Einstein constant has a non-trivial ultraviolet stable point beyond two dimensions. |
hep-th/9809134 | Hyun Seok Yang | Hyun Seok Yang and Bum-Hoon Lee | Anyonic physical observables and spin phase transition | 14 pages, added references, a few improvements | Phys.Rev.D59:105007,1999 | 10.1103/PhysRevD.59.105007 | SOGANG-HEP 244/98, SNUTP 98-107 | hep-th cond-mat | null | The quantization of charged matter system coupled to Chern-Simons gauge
fields is analyzed in a covariant gauge fixing, and gauge invariant physical
anyon operators satisfying fractional statistics are constructed in a symmetric
phase, based on Dirac's recipe performed on QED. This method provides us a
definite way of identifying physical spectrums free from gauge ambiguity and
constructing physical anyon operators under a covariant gauge fixing. We then
analyze the statistical spin phase transition in a symmetry-broken phase and
show that the Higgs mechanism transmutes an anyon satisfying fractional
statistics into a canonical boson, a spin 0 Higgs boson or a topologically
massive photon.
| [
{
"created": "Thu, 17 Sep 1998 18:30:03 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Sep 1998 12:00:26 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Yang",
"Hyun Seok",
""
],
[
"Lee",
"Bum-Hoon",
""
]
] | The quantization of charged matter system coupled to Chern-Simons gauge fields is analyzed in a covariant gauge fixing, and gauge invariant physical anyon operators satisfying fractional statistics are constructed in a symmetric phase, based on Dirac's recipe performed on QED. This method provides us a definite way of identifying physical spectrums free from gauge ambiguity and constructing physical anyon operators under a covariant gauge fixing. We then analyze the statistical spin phase transition in a symmetry-broken phase and show that the Higgs mechanism transmutes an anyon satisfying fractional statistics into a canonical boson, a spin 0 Higgs boson or a topologically massive photon. |
hep-th/0508167 | Fabio Zwirner | Giovanni Villadoro and Fabio Zwirner (Univ. and INFN, Rome) | de-Sitter vacua via consistent D-terms | 4 pages, 1 figure, v3: published version | Phys.Rev.Lett.95:231602,2005 | 10.1103/PhysRevLett.95.231602 | ROMA-1413/05 | hep-th hep-ph | null | We introduce a new mechanism for producing locally stable de-Sitter or
Minkowski vacua, with spontaneously broken N=1 supersymmetry and no massless
scalars, applicable to superstring and M-theory compactifications with fluxes.
We illustrate the mechanism with a simple N=1 supergravity model that provides
parametric control on the sign and the size of the vacuum energy. The crucial
ingredient is a gauged U(1) that involves both an axionic shift and an
R-symmetry, and severely constrains the F- and D-term contributions to the
potential.
| [
{
"created": "Tue, 23 Aug 2005 13:18:32 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2005 11:34:01 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Dec 2005 16:19:54 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Villadoro",
"Giovanni",
"",
"Univ. and INFN, Rome"
],
[
"Zwirner",
"Fabio",
"",
"Univ. and INFN, Rome"
]
] | We introduce a new mechanism for producing locally stable de-Sitter or Minkowski vacua, with spontaneously broken N=1 supersymmetry and no massless scalars, applicable to superstring and M-theory compactifications with fluxes. We illustrate the mechanism with a simple N=1 supergravity model that provides parametric control on the sign and the size of the vacuum energy. The crucial ingredient is a gauged U(1) that involves both an axionic shift and an R-symmetry, and severely constrains the F- and D-term contributions to the potential. |
1711.10854 | Rasmus Jaksland | Rasmus Jaksland | A Review of the Holographic Relation between Linearized Gravity and the
First Law of Entanglement Entropy | 101 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis reviews the conjectured holographic relation between entanglement
and gravity due to Mark van Raamsdonk and collaborators. It is accounted how
the linearized Einstein equations both with and without matter in a
d+1-dimensional AdS background can be derived from the first law of
entanglement entropy in a d-dimensional CFT. This derivation builds on the
Ryu-Takayanagi formula that relates entanglement entropy for CFT subsystems to
extremal surfaces in the AdS bulk. The relation between gravity and
entanglement is also corroborated by a qualitative investigation of the duality
between the thermofield double state and the maximally extended
AdS/Schwarzschild black hole using the Bekenstein-Hawking formula. Furthermore,
this qualitative argument is generalized to generic CFT states with a classical
spacetime dual using the Ryu-Takayanagi. The thesis also reviews the most
relevant prerequisites for this holographic relation between gravity and
entanglement: Anti-de Sitter spacetime, entanglement and entanglement entropy,
gauge/gravity duality, the Ryu-Takayanagi formula, and linearized gravity.
| [
{
"created": "Wed, 29 Nov 2017 13:57:24 GMT",
"version": "v1"
}
] | 2017-11-30 | [
[
"Jaksland",
"Rasmus",
""
]
] | This thesis reviews the conjectured holographic relation between entanglement and gravity due to Mark van Raamsdonk and collaborators. It is accounted how the linearized Einstein equations both with and without matter in a d+1-dimensional AdS background can be derived from the first law of entanglement entropy in a d-dimensional CFT. This derivation builds on the Ryu-Takayanagi formula that relates entanglement entropy for CFT subsystems to extremal surfaces in the AdS bulk. The relation between gravity and entanglement is also corroborated by a qualitative investigation of the duality between the thermofield double state and the maximally extended AdS/Schwarzschild black hole using the Bekenstein-Hawking formula. Furthermore, this qualitative argument is generalized to generic CFT states with a classical spacetime dual using the Ryu-Takayanagi. The thesis also reviews the most relevant prerequisites for this holographic relation between gravity and entanglement: Anti-de Sitter spacetime, entanglement and entanglement entropy, gauge/gravity duality, the Ryu-Takayanagi formula, and linearized gravity. |
1009.4662 | Balazs Pozsgay | B. Pozsgay | Mean values of local operators in highly excited Bethe states | 32 pages, v2: minor changes, v3: minor corrections | J.Stat.Mech.1101:P01011,2011 | 10.1088/1742-5468/2011/01/P01011 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider expectation values of local operators in (continuum) integrable
models in a situation when the mean value is calculated in a single Bethe state
with a large number of particles. We develop a form factor expansion for the
thermodynamic limit of the mean value, which applies whenever the distribution
of Bethe roots is given by smooth density functions. We present three
applications of our general result: i) In the framework of integrable Quantum
Field Theory (IQFT) we present a derivation of the LeClair-Mussardo formula for
finite temperature one-point functions. We also extend the results to boundary
operators in Boundary Field Theories. ii) We establish the LeClair-Mussardo
formula for the non-relativistic 1D Bose gas in the framework of Algebraic
Bethe Ansatz (ABA). This way we obtain an alternative derivation of the results
of Kormos et. al. for the (temperature dependent) local correlations using only
the concepts of ABA. iii) In IQFT we consider the long-time limit of one-point
functions after a certain type of global quench. It is shown that our general
results imply the integral series found by Fioretti and Mussardo. We also
discuss the generalized Eigenstate Thermalization hypothesis in the context of
quantum quenches in integrable models. It is shown that a single mean value
always takes the form of a thermodynamic average in a Generalized Gibbs
Ensemble, although the relation to the conserved charges is rather indirect.
| [
{
"created": "Thu, 23 Sep 2010 17:25:43 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 2010 09:15:00 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Dec 2010 13:15:06 GMT",
"version": "v3"
},
{
"created": "Wed, 8 Dec 2010 07:50:55 GMT",
"version": "v4"
}
] | 2011-01-20 | [
[
"Pozsgay",
"B.",
""
]
] | We consider expectation values of local operators in (continuum) integrable models in a situation when the mean value is calculated in a single Bethe state with a large number of particles. We develop a form factor expansion for the thermodynamic limit of the mean value, which applies whenever the distribution of Bethe roots is given by smooth density functions. We present three applications of our general result: i) In the framework of integrable Quantum Field Theory (IQFT) we present a derivation of the LeClair-Mussardo formula for finite temperature one-point functions. We also extend the results to boundary operators in Boundary Field Theories. ii) We establish the LeClair-Mussardo formula for the non-relativistic 1D Bose gas in the framework of Algebraic Bethe Ansatz (ABA). This way we obtain an alternative derivation of the results of Kormos et. al. for the (temperature dependent) local correlations using only the concepts of ABA. iii) In IQFT we consider the long-time limit of one-point functions after a certain type of global quench. It is shown that our general results imply the integral series found by Fioretti and Mussardo. We also discuss the generalized Eigenstate Thermalization hypothesis in the context of quantum quenches in integrable models. It is shown that a single mean value always takes the form of a thermodynamic average in a Generalized Gibbs Ensemble, although the relation to the conserved charges is rather indirect. |
hep-th/9312026 | Juergen Fuchs | J\"urgen Fuchs | The Quantum Symmetry of Rational Field Theories | 16 pages (A4) in LaTeX | Theor.Math.Phys. 98 (1994) 266-276; Teor.Mat.Fiz. 98 (1994)
388-403 | 10.1007/BF01102203 | NIKHEF-H/93-28 | hep-th | null | The quantum symmetry of a rational quantum field theory is a finite-
dimensional multi-matrix algebra. Its representation category, which determines
the fusion rules and braid group representations of superselection sectors, is
a braided monoidal C^*-category. Various properties of such algebraic
structures are described, and some ideas concerning the classification
programme are outlined. (Invited talk given at the III. International
Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta,
Ukraine, June 1993. To appear in Teor.Mat.Fiz.)
| [
{
"created": "Fri, 3 Dec 1993 14:28:36 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Fuchs",
"Jürgen",
""
]
] | The quantum symmetry of a rational quantum field theory is a finite- dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided monoidal C^*-category. Various properties of such algebraic structures are described, and some ideas concerning the classification programme are outlined. (Invited talk given at the III. International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June 1993. To appear in Teor.Mat.Fiz.) |
hep-th/0005051 | Swapna Mahapatra | Swapna Mahapatra and Harvendra Singh | Supersymmetric configurations in Euclidean Freedman-Schwarz model | 13 pages, LateX | Phys.Lett. B486 (2000) 322-328 | 10.1016/S0370-2693(00)00774-7 | SINP/TNP/00-12, UUPHY/00/01 | hep-th | null | We study Euclidean D=4, N=4 gauged $SU(2) \times SU(1,1)$ supergravity theory
which has been obtained from dimensional reduction of N=1, D=10 supergravity on
$S^3 \times AdS_3$. We obtain supersymmetric configurations like domain wall,
electro-vac type of solutions with geometries $E^2 \times S^2$, $E^2 \times
AdS_2$ and axio-vac type $E^1 \times S^3$ solution in this Euclidean
Freedman-Schwarz (EFS) model. We also show that the Euclidean gravitational
instantons with nontrivial (anti)self-dual U(1) gauge fields are stable vacua
preserving one fourth of the original supersymmetry.
| [
{
"created": "Fri, 5 May 2000 12:29:07 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Mahapatra",
"Swapna",
""
],
[
"Singh",
"Harvendra",
""
]
] | We study Euclidean D=4, N=4 gauged $SU(2) \times SU(1,1)$ supergravity theory which has been obtained from dimensional reduction of N=1, D=10 supergravity on $S^3 \times AdS_3$. We obtain supersymmetric configurations like domain wall, electro-vac type of solutions with geometries $E^2 \times S^2$, $E^2 \times AdS_2$ and axio-vac type $E^1 \times S^3$ solution in this Euclidean Freedman-Schwarz (EFS) model. We also show that the Euclidean gravitational instantons with nontrivial (anti)self-dual U(1) gauge fields are stable vacua preserving one fourth of the original supersymmetry. |
1912.00001 | Andrea Legramandi | Andrea Legramandi and Alessandro Tomasiello | Breaking supersymmetry with pure spinors | 30 pages, references added | null | 10.1007/JHEP11(2020)098 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For several classes of BPS vacua, we find a procedure to modify the PDEs that
imply preserved supersymmetry and the equations of motion so that they still
imply the latter but not the former. In each case we trace back this
supersymmetry-breaking deformation to a distinct modification of the pure
spinor equations that provide a geometrical interpretation of supersymmetry. We
give some concrete examples: first we generalize the Imamura class of Mink6
solutions by removing a symmetry requirement, and then derive some local and
global solutions both before and after breaking supersymmetry.
| [
{
"created": "Wed, 27 Nov 2019 18:52:53 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 2021 18:12:10 GMT",
"version": "v2"
}
] | 2021-02-25 | [
[
"Legramandi",
"Andrea",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of Mink6 solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry. |
1802.00803 | Raul Pereira | Alessandro Georgoudis, Vasco Gon\c{c}alves, Erik Panzer and Raul
Pereira | Five-loop massless propagator integrals | 16 pages + references; results included in ancillary files | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a method to obtain $\epsilon$-expansions of massless two-point
integrals in position space, based on the constraints implied by symmetries of
the asymptotic expansion of conformal four-point integrals. Together with
parametric integration, we are able to fix the expansions of 170 genuine
five-loop master integrals. In particular, we computed the expansions of all
planar master integrals up to transcendental weight 9.
| [
{
"created": "Fri, 2 Feb 2018 18:54:51 GMT",
"version": "v1"
}
] | 2018-02-05 | [
[
"Georgoudis",
"Alessandro",
""
],
[
"Gonçalves",
"Vasco",
""
],
[
"Panzer",
"Erik",
""
],
[
"Pereira",
"Raul",
""
]
] | We develop a method to obtain $\epsilon$-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9. |
2103.14864 | Sarben Sarkar | Carl M Bender, Alexander Felski, S P Klevansky and Sarben Sarkar | $\PT$ Symmetry and Renormalisation in Quantum Field Theory | null | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum systems governed by non-Hermitian Hamiltonians with $\PT$ symmetry
are special in having real energy eigenvalues bounded below and unitary time
evolution. We argue that $\PT$ symmetry may also be important and present at
the level of Hermitian quantum field theories because of the process of
renormalisation. In some quantum field theories renormalisation leads to
$\PT$-symmetric effective Lagrangians. We show how $\PT$ symmetry may allow
interpretations that evade ghosts and instabilities present in an
interpretation of the theory within a Hermitian framework. From the study of
examples $\PT$-symmetric interpretation is naturally built into a path integral
formulation of quantum field theory; there is no requirement to calculate
explicitly the $\PT$ norm that occurs in Hamiltonian quantum theory. We discuss
examples where $\PT$-symmetric field theories emerge from Hermitian field
theories due to effects of renormalization. We also consider the effects of
renormalization on field theories that are non-Hermitian but $\PT$-symmetric
from the start.
| [
{
"created": "Sat, 27 Mar 2021 09:46:36 GMT",
"version": "v1"
}
] | 2021-03-30 | [
[
"Bender",
"Carl M",
""
],
[
"Felski",
"Alexander",
""
],
[
"Klevansky",
"S P",
""
],
[
"Sarkar",
"Sarben",
""
]
] | Quantum systems governed by non-Hermitian Hamiltonians with $\PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We argue that $\PT$ symmetry may also be important and present at the level of Hermitian quantum field theories because of the process of renormalisation. In some quantum field theories renormalisation leads to $\PT$-symmetric effective Lagrangians. We show how $\PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework. From the study of examples $\PT$-symmetric interpretation is naturally built into a path integral formulation of quantum field theory; there is no requirement to calculate explicitly the $\PT$ norm that occurs in Hamiltonian quantum theory. We discuss examples where $\PT$-symmetric field theories emerge from Hermitian field theories due to effects of renormalization. We also consider the effects of renormalization on field theories that are non-Hermitian but $\PT$-symmetric from the start. |
2006.09508 | Benjamin Koch | Benjamin Koch and Cristobal Laporte | A technique for natural gauge boson masses | 20 pages, 3 figures, Accepted for publication in PRD | Phys. Rev. D 103, 045011 (2021) | 10.1103/PhysRevD.103.045011 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, a novel mechanism for spontaneous symmetry breaking is
presented. This mechanism avoids quadratic divergencies and is thus capable of
addressing the hierarchy problem in gauge theories. Using the scale-dependent
effective action $\Gamma_{k}$ minimally coupled to a gravitational sector,
variational parameter setting is applied. This provides a mass and vacuum
expectation value as a function of the constants arising in the low scale
expansion of Newtons' and cosmological couplings. A comparison with
experimental data, such as the Higgs mass, allows putting restrictions on these
constants. With this generic approach one can compare with explicit candidates
for an effective field theory of gravity. As an example, we use the asymptotic
safety scenario, where we find restrictions on the matter content of the
theory.
| [
{
"created": "Tue, 16 Jun 2020 20:41:32 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 2021 15:46:02 GMT",
"version": "v2"
}
] | 2021-02-24 | [
[
"Koch",
"Benjamin",
""
],
[
"Laporte",
"Cristobal",
""
]
] | In this work, a novel mechanism for spontaneous symmetry breaking is presented. This mechanism avoids quadratic divergencies and is thus capable of addressing the hierarchy problem in gauge theories. Using the scale-dependent effective action $\Gamma_{k}$ minimally coupled to a gravitational sector, variational parameter setting is applied. This provides a mass and vacuum expectation value as a function of the constants arising in the low scale expansion of Newtons' and cosmological couplings. A comparison with experimental data, such as the Higgs mass, allows putting restrictions on these constants. With this generic approach one can compare with explicit candidates for an effective field theory of gravity. As an example, we use the asymptotic safety scenario, where we find restrictions on the matter content of the theory. |
hep-th/9901071 | Heinrich Saller | Heinrich Saller (Max-Planck-Institut f\"ur Physik und Astrophysik,
Werner-Heisenberg-Institut f\"ur Physik, M\"unchen, Germany) | Representations of Spacetime as Unitary Operation Classes or Against the
Monoculture of Particle Fields | 29 pages, latex, macros included | Int.J.Theor.Phys. 38 (1999) 1697-1733 | null | MPI-PTh/99-3 | hep-th | null | Spacetime is modelled as a homogeneous manifold given by the classes of
unitary $\U(2)$ operations in the general complex operations $\GL(\C^2)$. The
residual representations of this noncompact symmetric space of rank two are
characterized by two continuous real invariants, one invariant interpreted as a
particle mass for a positive unitary subgroup and the second one for an
indefinite unitary subgroup related to nonparticle interpretable interaction
ranges. Fields represent nonlinear spacetime $\GL(\C^2)/\U(2)$ by their
quantization and include necessarily nonparticle contributions in the timelike
part of their flat space Feynman propagator.
| [
{
"created": "Mon, 18 Jan 1999 10:37:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saller",
"Heinrich",
"",
"Max-Planck-Institut für Physik und Astrophysik,\n Werner-Heisenberg-Institut für Physik, München, Germany"
]
] | Spacetime is modelled as a homogeneous manifold given by the classes of unitary $\U(2)$ operations in the general complex operations $\GL(\C^2)$. The residual representations of this noncompact symmetric space of rank two are characterized by two continuous real invariants, one invariant interpreted as a particle mass for a positive unitary subgroup and the second one for an indefinite unitary subgroup related to nonparticle interpretable interaction ranges. Fields represent nonlinear spacetime $\GL(\C^2)/\U(2)$ by their quantization and include necessarily nonparticle contributions in the timelike part of their flat space Feynman propagator. |
hep-th/0212273 | Axel Winterhalder | Michael Forger and Axel Winterhalder | From Dynamical to Numerical R-Matrices: A Case Study for the Calogero
Models | 52 pages, Latex | Nucl.Phys. B667 (2003) 435-483 | 10.1016/S0550-3213(03)00536-4 | IME-USP RT-MAP-0202 | hep-th | null | Within the class of integrable Calogero models associated with (semi-)simple
Lie algebras and with symmetric pairs of Lie algebras identified in a previous
paper, we analyze whether and to what extent it is possible to find a gauge
transformation that takes the traditional Lax pair with its dynamical R-matrix
to a new Lax pair with a numerical R-matrix.
| [
{
"created": "Fri, 20 Dec 2002 22:14:16 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Forger",
"Michael",
""
],
[
"Winterhalder",
"Axel",
""
]
] | Within the class of integrable Calogero models associated with (semi-)simple Lie algebras and with symmetric pairs of Lie algebras identified in a previous paper, we analyze whether and to what extent it is possible to find a gauge transformation that takes the traditional Lax pair with its dynamical R-matrix to a new Lax pair with a numerical R-matrix. |
1804.11160 | Adam Bednorz | Adam Bednorz | Local bosonization of massive fermions in three spatial dimensions with
rotation invariance | 11 pages, 10 figures | Phys. Rev. D 98, 036012 (2018) | 10.1103/PhysRevD.98.036012 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | In relativistic quantum field theory particles of half-integer spin must obey
Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike
separation in contrast to commuting physical observables. We show that
Fermi-Dirac spin $1/2$ operators can be emergent in a fully commuting field
theory forming directed strings and loops of spin 0 and 1 constituents,
reproducing massive Dirac dynamics with background fields. Such underlying
description may violate relativistic invariance but there are no manifest
interactions at a distance and rotation symmetry remains preserved. We show
that under some constraints on the model there exists a well-defined ground
state -- Fermi sea that it is stable -- fermions cannot convert to bosons.
| [
{
"created": "Mon, 30 Apr 2018 12:42:18 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Aug 2018 21:04:46 GMT",
"version": "v2"
}
] | 2018-08-21 | [
[
"Bednorz",
"Adam",
""
]
] | In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac spin $1/2$ operators can be emergent in a fully commuting field theory forming directed strings and loops of spin 0 and 1 constituents, reproducing massive Dirac dynamics with background fields. Such underlying description may violate relativistic invariance but there are no manifest interactions at a distance and rotation symmetry remains preserved. We show that under some constraints on the model there exists a well-defined ground state -- Fermi sea that it is stable -- fermions cannot convert to bosons. |
hep-th/0003090 | Uwe Trittmann | Uwe Trittmann | Testing SDLCQ in 2+1 dimensions | 7 pp, uses sprocl.sty. To appear in the proceedings of the CSSM
Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, Adelaide, SA,
Dec. 13--21,1999 | Proc. Workshop on Light-Cone QCD and Nonperturbative Hadron
Physics, Adelaide, Australia, Dec. 13-22, 1999, eds. A.W. Schreiber, A.G.
Williams (World Scientific, Singapore, 2000), pp. 119-125. | null | null | hep-th | null | The SDLCQ regularization is known to explicitly preserve supersymmetry in 1+1
dimensions. To test this property in higher dimensions, we consider
supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one
of the compact directions to be light-like and another to be space-like. This
theory is totally finite, and thus we can solve for bound state wave functions
and masses numerically without renormalizing. We present the masses as
functions of the longitudinal and transverse resolutions and show that the
masses converge rapidly in both resolutions. We study the behavior of the
spectrum as a function of the coupling and find that at strong coupling there
is a stable, well-defined spectrum which we present. We discuss also the
massless spectrum and find several unphysical states that decouple at large
transverse resolution.
| [
{
"created": "Mon, 13 Mar 2000 01:34:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Trittmann",
"Uwe",
""
]
] | The SDLCQ regularization is known to explicitly preserve supersymmetry in 1+1 dimensions. To test this property in higher dimensions, we consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact directions to be light-like and another to be space-like. This theory is totally finite, and thus we can solve for bound state wave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We study the behavior of the spectrum as a function of the coupling and find that at strong coupling there is a stable, well-defined spectrum which we present. We discuss also the massless spectrum and find several unphysical states that decouple at large transverse resolution. |
1409.3368 | Xu Wei | Wei Xu | Exact black hole formation in three dimensions | 11 pages | Physics Letters B 738 (2014) 472-476 | 10.1016/j.physletb.2014.10.026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider three dimensional Einstein gravity non-minimally coupled to a
real scalar field with a self-interacting scalar potential and present the
exact black hole formation in three dimensions. Firstly we obtain an exact
time-dependent spherically symmetric solution describing the gravitational
collapse to a scalar black hole at the infinite time, i.e. in the static limit.
The solution can only be asymptotically AdS because of the No-Go theorem in
three dimensions which is resulted from the existence of a smooth black hole
horizon. Then we analyze their geometric properties and properties of the time
evolution. We also get the exact time-dependent solution in the minimal
coupling model after taking a conformal transformation.
| [
{
"created": "Thu, 11 Sep 2014 09:37:45 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2014 15:01:00 GMT",
"version": "v2"
}
] | 2014-10-23 | [
[
"Xu",
"Wei",
""
]
] | We consider three dimensional Einstein gravity non-minimally coupled to a real scalar field with a self-interacting scalar potential and present the exact black hole formation in three dimensions. Firstly we obtain an exact time-dependent spherically symmetric solution describing the gravitational collapse to a scalar black hole at the infinite time, i.e. in the static limit. The solution can only be asymptotically AdS because of the No-Go theorem in three dimensions which is resulted from the existence of a smooth black hole horizon. Then we analyze their geometric properties and properties of the time evolution. We also get the exact time-dependent solution in the minimal coupling model after taking a conformal transformation. |
hep-th/0012021 | Schroer | Bert Schroer (CBPF Rio de Janeiro) | Braided Structure in 4-dimensional conformal Quantum Field Theory | Dedicated to Gerhard Mack and Robert Schrader on the occasion of
their 60th birthday, submitted to Phys. Lett. B, 10 pages, improvements of
the formulation, shortening of the text, addition of a formula, removal of
typos | Phys.Lett. B506 (2001) 337-343 | 10.1016/S0370-2693(01)00331-8 | null | hep-th hep-ph math-ph math.MP | null | Higher dimensional conformal QFT possesses an interesting braided structure
which, different from the d=1+1 models, is restricted to the timelike region
and therefore easily escapes euclidean action methods. It lies behind the
spectrum of anomalous dimensions which may be viewed as a kind of substitute
for a missing particle interpretation in the presence of interactions.
| [
{
"created": "Mon, 4 Dec 2000 23:44:06 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 2001 20:15:54 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Schroer",
"Bert",
"",
"CBPF Rio de Janeiro"
]
] | Higher dimensional conformal QFT possesses an interesting braided structure which, different from the d=1+1 models, is restricted to the timelike region and therefore easily escapes euclidean action methods. It lies behind the spectrum of anomalous dimensions which may be viewed as a kind of substitute for a missing particle interpretation in the presence of interactions. |
1103.1312 | Diego Chialva | Diego Chialva, Anupam Mazumdar | Eliminating infrared divergences in an inflationary cosmology | 18 pages plus bibliography; improved presentation of the new
redefined perturbation theory centred on locality; improved discussion and
comparison with other approaches in the literature based for example on
redefinition of the background or the gauge transformations, showing in a
clearer way the differences between such approaches and ours | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the infrared divergences arising from gravitational loops in the
standard cosmological perturbation theory. We provide a simple solution to the
problem at all orders of cosmological perturbation theory by redefining the
perturbation theory in terms of a local observer. We propose to reformulate the
standard perturbations in the in-in formalism, and obtain an infrared safe
perturbation theory. Our results do not depend on any infrared cutoffs or
similar parameters. We then present an explicit example of graviton one-loop
corrections, and briefly discuss non-gaussianities.
| [
{
"created": "Mon, 7 Mar 2011 16:11:31 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2011 19:52:18 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Sep 2011 09:46:53 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Mar 2012 18:19:47 GMT",
"version": "v4"
}
] | 2012-03-23 | [
[
"Chialva",
"Diego",
""
],
[
"Mazumdar",
"Anupam",
""
]
] | We study the infrared divergences arising from gravitational loops in the standard cosmological perturbation theory. We provide a simple solution to the problem at all orders of cosmological perturbation theory by redefining the perturbation theory in terms of a local observer. We propose to reformulate the standard perturbations in the in-in formalism, and obtain an infrared safe perturbation theory. Our results do not depend on any infrared cutoffs or similar parameters. We then present an explicit example of graviton one-loop corrections, and briefly discuss non-gaussianities. |
1512.08950 | Yan Peng | Yan Peng, Qiyuan Pan, Yunqi Liu | A general holographic insulator/superconductor model away from the probe
limit | 18 pages, 8 figures. arXiv admin note: text overlap with
arXiv:1507.07399 | Nuclear Physics B 915 (2017) | 10.1016/j.nuclphysb.2016.12.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate holographic phase transitions affected by dark matter sector
in the AdS soliton background away from the probe limit. When neglecting
backreaction, the scalar charge q can be scaled unity without loss of
generality. While considering backreaction in this work, we obtain much more
richer physics by choosing various scalar charge q. Firstly, we observe
unstable retrograde condensation appears due to the dark matter sector and also
derive stable conditions. For stable solutions, we find that the larger
coupling parameter $\alpha$ makes the gap of condensation shallower and the
critical chemical potential keeps as a constant with a large scalar charge q,
which is similar to cases in the probe limit. In contrast, the dark matter
sector could affect the critical chemical potential and the order of phase
transitions for very small charge q. We also arrive at the same conclusion from
the holographic topological entanglement entropy approach. Moreover, we state
that the entanglement entropy approach is especially powerful in studying the
effects of the dark matter sector in this general insulator/superconductor
system.
| [
{
"created": "Wed, 30 Dec 2015 14:26:16 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2016 08:43:08 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Jun 2016 08:28:45 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Dec 2016 16:13:24 GMT",
"version": "v4"
}
] | 2017-04-26 | [
[
"Peng",
"Yan",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Liu",
"Yunqi",
""
]
] | We investigate holographic phase transitions affected by dark matter sector in the AdS soliton background away from the probe limit. When neglecting backreaction, the scalar charge q can be scaled unity without loss of generality. While considering backreaction in this work, we obtain much more richer physics by choosing various scalar charge q. Firstly, we observe unstable retrograde condensation appears due to the dark matter sector and also derive stable conditions. For stable solutions, we find that the larger coupling parameter $\alpha$ makes the gap of condensation shallower and the critical chemical potential keeps as a constant with a large scalar charge q, which is similar to cases in the probe limit. In contrast, the dark matter sector could affect the critical chemical potential and the order of phase transitions for very small charge q. We also arrive at the same conclusion from the holographic topological entanglement entropy approach. Moreover, we state that the entanglement entropy approach is especially powerful in studying the effects of the dark matter sector in this general insulator/superconductor system. |
hep-th/9402063 | Flad | Michel Dubois-Violette | A bigraded version of the Weil algebra and of the Weil homomorphism for
Donaldson invariants | 19 pages | J.Geom.Phys. 19 (1996) 18-30 | 10.1016/0393-0440(95)00019-4 | LPTHE-ORSAY 94/09 | hep-th alg-geom math.AG | null | We describe a bigraded generalization of the Weil algebra, of its basis and
of the characteristic homomorphism which besides ordinary characteristic
classes also maps on Donaldson invariants.
| [
{
"created": "Thu, 10 Feb 1994 12:33:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Dubois-Violette",
"Michel",
""
]
] | We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson invariants. |
1206.0120 | Brett McInnes | Brett McInnes | Universality of the Holographic Angular Momentum Cutoff | 26 pages, 7 figures, version to appear in Nuclear Physics B | Nucl.Phys. B864 (2012) 722-744 | 10.1016/j.nuclphysb.2012.07.013 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/CFT dual description of a peripheral heavy ion collision involves an
asymptotically AdS rotating black hole. The explicitly known black holes of
this kind, with planar event horizon topology [the "KMV$_0$" spacetimes], have
been shown to be unstable when string-theoretic effects are taken into account.
It has been argued that this implies a "holographic" angular momentum cutoff
for peripheral collisions at very high energies. However, the KMV$_0$ black
hole corresponds to a specific velocity distribution in the aftermath of a
peripheral collision, and this distribution is not realistic at all points of
the interaction zone. It could therefore be argued that the angular momentum
cutoff is an artefact of this particular choice of bulk geometry. We
demonstrate that, on the contrary, a Quark-Gluon Plasma with any physically
reasonable internal velocity distribution corresponds to a black hole which is
still unstable, in the same way as the KMV$_0$ spacetime. The angular momentum
cutoff is therefore a universal prediction of the holographic description of
these collisions.
| [
{
"created": "Fri, 1 Jun 2012 08:13:38 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2012 06:22:52 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"McInnes",
"Brett",
""
]
] | The AdS/CFT dual description of a peripheral heavy ion collision involves an asymptotically AdS rotating black hole. The explicitly known black holes of this kind, with planar event horizon topology [the "KMV$_0$" spacetimes], have been shown to be unstable when string-theoretic effects are taken into account. It has been argued that this implies a "holographic" angular momentum cutoff for peripheral collisions at very high energies. However, the KMV$_0$ black hole corresponds to a specific velocity distribution in the aftermath of a peripheral collision, and this distribution is not realistic at all points of the interaction zone. It could therefore be argued that the angular momentum cutoff is an artefact of this particular choice of bulk geometry. We demonstrate that, on the contrary, a Quark-Gluon Plasma with any physically reasonable internal velocity distribution corresponds to a black hole which is still unstable, in the same way as the KMV$_0$ spacetime. The angular momentum cutoff is therefore a universal prediction of the holographic description of these collisions. |
1011.0942 | Michael Mattes Dr. | M. Mattes and M. Sorg | Spherically Symmetric Approximation (and beyond) in Relativistic
Schroedinger Theory | 150 pages, 10 figures and 4 tables | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The energy eigenvalue problem of non-relativistic positronium is considered
within the framework of Relativistic Schroedinger Theory (RST), and the results
are compared to those of the conventional quantum theory. For the range of
princi- pal quantum numbers n = 2;3;::: ;30, the RST predictions for the
non-relativistic positronium energies deviate now from the corresponding
predictions of the conven- tional quantum theory at an average of (roughly) 3%.
These results suggest that the deviations will be further diminished in the
higher orders of approximation.
| [
{
"created": "Wed, 3 Nov 2010 17:11:21 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 2010 11:21:04 GMT",
"version": "v2"
}
] | 2010-11-08 | [
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] | The energy eigenvalue problem of non-relativistic positronium is considered within the framework of Relativistic Schroedinger Theory (RST), and the results are compared to those of the conventional quantum theory. For the range of princi- pal quantum numbers n = 2;3;::: ;30, the RST predictions for the non-relativistic positronium energies deviate now from the corresponding predictions of the conven- tional quantum theory at an average of (roughly) 3%. These results suggest that the deviations will be further diminished in the higher orders of approximation. |
1905.11302 | Fezzeh Naderi | F. Naderi, A. Rezaei-Aghdam | New five-dimensional Bianchi type magnetically charged hairy topological
black hole solutions in string theory | null | Eur. Phys. J. C 79 (2019) 995 | 10.1140/epjc/s10052-019-7516-7 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct black hole solutions to the leading order of string effective
action in five dimensions with the source given by dilaton and magnetically
charged antisymmetric gauge $B$-field. Presence of the considered $B$-field
leads to the unusual asymptotic behavior of solutions which are neither
asymptotically flat nor asymptotically (A)dS. We consider the three-dimensional
space part to correspond to the Bianchi classes and so the horizons of these
topological black hole solutions are modeled by seven homogeneous Thurston
geometries of $E^3$, $S^3$, $H^3$, $H^2 \times E^1$, $\widetilde{{SL_2R}}$,
nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature,
entropy, dilaton charge, and magnetic potential, we show that the first law of
black hole thermodynamics is satisfied by these quantities and the dilaton hair
is of the secondary type. Furthermore, for Bianchi type $V$, the $T$-dual black
hole solution is obtained which carries no charge associated with $B$-field and
possesses a dilaton hair of secondary kind. Also, the entropy turns to be
invariant under the $T$-duality.
| [
{
"created": "Mon, 27 May 2019 15:39:02 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2019 15:58:42 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Nov 2019 06:34:47 GMT",
"version": "v3"
}
] | 2019-12-11 | [
[
"Naderi",
"F.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] | We construct black hole solutions to the leading order of string effective action in five dimensions with the source given by dilaton and magnetically charged antisymmetric gauge $B$-field. Presence of the considered $B$-field leads to the unusual asymptotic behavior of solutions which are neither asymptotically flat nor asymptotically (A)dS. We consider the three-dimensional space part to correspond to the Bianchi classes and so the horizons of these topological black hole solutions are modeled by seven homogeneous Thurston geometries of $E^3$, $S^3$, $H^3$, $H^2 \times E^1$, $\widetilde{{SL_2R}}$, nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature, entropy, dilaton charge, and magnetic potential, we show that the first law of black hole thermodynamics is satisfied by these quantities and the dilaton hair is of the secondary type. Furthermore, for Bianchi type $V$, the $T$-dual black hole solution is obtained which carries no charge associated with $B$-field and possesses a dilaton hair of secondary kind. Also, the entropy turns to be invariant under the $T$-duality. |
hep-th/0209157 | Thomas Quella | Thomas Quella | On the hierarchy of symmetry breaking D-branes in group manifolds | 34 pages | JHEP 0212 (2002) 009 | 10.1088/1126-6708/2002/12/009 | AEI-2002-072 | hep-th | null | We construct the boundary WZNW functional for symmetry breaking D-branes on a
group manifold which are localized along a product of a number of twisted
conjugacy classes and which preserve an action of an arbitrary continuous
subgroup. These branes provide a geometric interpretation for the algebraic
formulation of constructing D-branes developed recently in hep-th/0203161. We
apply our results to obtain new symmetry breaking and non-factorizing D-branes
in the background SL(2,R) x SU(2).
| [
{
"created": "Thu, 19 Sep 2002 16:14:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Quella",
"Thomas",
""
]
] | We construct the boundary WZNW functional for symmetry breaking D-branes on a group manifold which are localized along a product of a number of twisted conjugacy classes and which preserve an action of an arbitrary continuous subgroup. These branes provide a geometric interpretation for the algebraic formulation of constructing D-branes developed recently in hep-th/0203161. We apply our results to obtain new symmetry breaking and non-factorizing D-branes in the background SL(2,R) x SU(2). |
hep-th/9703091 | Jens Schnittger | Jens Schnittger | Quantum Group Generators in Conformal Field Theory | 21 pages, LaTeX | Nucl.Phys.Proc.Suppl. 56B (1997) 344-354 | 10.1016/S0920-5632(97)00345-9 | Imperial/TP/96-97/36 | hep-th math.QA q-alg | null | These are notes of a seminar given at the 30th International Symposium on the
Theory of Elementary Particles, Berlin-Buckow, August 1996. The material is
derived from collaborations with E. Cremmer and J.-L. Gervais, and C. Klimcik,
and is partially new. Within the general framework of Poisson-Lie symmetry, we
discuss two approaches to the problem of constructing moment maps, or
q-deformed Noether charges, that generate the quantum group symmetry which
appears in many conformal field theories. Concretely, we consider the case of
$U_q(sl(2))$ and the operator algebra that describes Liouville theory and other
models built from integer powers of screenings in the Coulomb gas picture.
| [
{
"created": "Wed, 12 Mar 1997 18:01:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Schnittger",
"Jens",
""
]
] | These are notes of a seminar given at the 30th International Symposium on the Theory of Elementary Particles, Berlin-Buckow, August 1996. The material is derived from collaborations with E. Cremmer and J.-L. Gervais, and C. Klimcik, and is partially new. Within the general framework of Poisson-Lie symmetry, we discuss two approaches to the problem of constructing moment maps, or q-deformed Noether charges, that generate the quantum group symmetry which appears in many conformal field theories. Concretely, we consider the case of $U_q(sl(2))$ and the operator algebra that describes Liouville theory and other models built from integer powers of screenings in the Coulomb gas picture. |
1110.4494 | Joao G. Rosa | Joao G. Rosa and Sam R. Dolan | Massive vector fields on the Schwarzschild spacetime: quasinormal modes
and bound states | 15 pages, 8 figures; minor corrections, to be published in Phys. Rev.
D | null | 10.1103/PhysRevD.85.044043 | Edinburgh 2011/30 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the propagation of a massive vector or Proca field on the
Schwarzschild spacetime. The field equations are reduced to a one-dimensional
wave equation for the odd-parity part of the field and two coupled equations
for the even-parity part of the field. We use numerical techniques based on
solving (scalar or matrix-valued) three-term recurrence relations to compute
the spectra of both quasi-normal modes and quasi-bound states, which have no
massless analogue, complemented in the latter case by a forward-integration
method. We study the radial equations analytically in both the near-horizon and
far-field regions and use a matching procedure to compute the associated
spectra in the small-mass limit. Finally, we comment on extending our results
to the Kerr geometry and its phenomenological relevance for hidden photons
arising e.g. in string theory compactifications.
| [
{
"created": "Thu, 20 Oct 2011 11:05:32 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2012 11:55:32 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Rosa",
"Joao G.",
""
],
[
"Dolan",
"Sam R.",
""
]
] | We study the propagation of a massive vector or Proca field on the Schwarzschild spacetime. The field equations are reduced to a one-dimensional wave equation for the odd-parity part of the field and two coupled equations for the even-parity part of the field. We use numerical techniques based on solving (scalar or matrix-valued) three-term recurrence relations to compute the spectra of both quasi-normal modes and quasi-bound states, which have no massless analogue, complemented in the latter case by a forward-integration method. We study the radial equations analytically in both the near-horizon and far-field regions and use a matching procedure to compute the associated spectra in the small-mass limit. Finally, we comment on extending our results to the Kerr geometry and its phenomenological relevance for hidden photons arising e.g. in string theory compactifications. |
1608.05843 | Massimo Giovannini | Massimo Giovannini | Glauber theory and the quantum coherence of curvature inhomogeneities | 35 pages | null | 10.1088/1361-6382/aa52d9 | CERN-TH-2016-181 | hep-th astro-ph.CO gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The curvature inhomogeneities are systematically scrutinized in the framework
of the Glauber approach. The amplified quantum fluctuations of the scalar and
tensor modes of the geometry are shown to be first-order coherent while the
interference of the corresponding intensities is larger than in the case of
Bose-Einstein correlations. After showing that the degree of second-order
coherence does not suffice to characterize unambiguously the curvature
inhomogeneities, we argue that direct analyses of the degrees of third and
fourth-order coherence are necessary to discriminate between different
correlated states and to infer more reliably the statistical properties of the
large-scale fluctuations. We speculate that the moments of the multiplicity
distributions of the relic phonons might be observationally accessible thanks
to new generations of instruments able to count the single photons of the
Cosmic Microwave Background in the THz region.
| [
{
"created": "Sat, 20 Aug 2016 15:40:12 GMT",
"version": "v1"
}
] | 2017-01-25 | [
[
"Giovannini",
"Massimo",
""
]
] | The curvature inhomogeneities are systematically scrutinized in the framework of the Glauber approach. The amplified quantum fluctuations of the scalar and tensor modes of the geometry are shown to be first-order coherent while the interference of the corresponding intensities is larger than in the case of Bose-Einstein correlations. After showing that the degree of second-order coherence does not suffice to characterize unambiguously the curvature inhomogeneities, we argue that direct analyses of the degrees of third and fourth-order coherence are necessary to discriminate between different correlated states and to infer more reliably the statistical properties of the large-scale fluctuations. We speculate that the moments of the multiplicity distributions of the relic phonons might be observationally accessible thanks to new generations of instruments able to count the single photons of the Cosmic Microwave Background in the THz region. |
0705.4216 | Antoine Van Proeyen | Jan De Rydt, Jan Rosseel, Torsten T. Schmidt, Antoine Van Proeyen and
Marco Zagermann | Symplectic structure of N=1 supergravity with anomalies and Chern-Simons
terms | 27 pages; v2: typos corrected; version to be published in
Class.Quantum Grav | Class.Quant.Grav.24:5201-5220,2007 | 10.1088/0264-9381/24/20/017 | MPP-2007-61, KUL-TF-07/11 | hep-th hep-ph | null | The general actions of matter-coupled N=1 supergravity have Peccei-Quinn
terms that may violate gauge and supersymmetry invariance. In addition, N=1
supergravity with vector multiplets may also contain generalized Chern-Simons
terms. These have often been neglected in the literature despite their
importance for gauge and supersymmetry invariance. We clarify the interplay of
Peccei-Quinn terms, generalized Chern-Simons terms and quantum anomalies in the
context of N=1 supergravity and exhibit conditions that have to be satisfied
for their mutual consistency. This extension of the previously known N=1
matter-coupled supergravity actions follows naturally from the embedding of the
gauge group into the group of symplectic duality transformations. Our results
regarding this extension provide the supersymmetric framework for studies of
string compactifications with axionic shift symmetries, generalized
Chern-Simons terms and quantum anomalies.
| [
{
"created": "Tue, 29 May 2007 13:25:18 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Sep 2007 10:23:43 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"De Rydt",
"Jan",
""
],
[
"Rosseel",
"Jan",
""
],
[
"Schmidt",
"Torsten T.",
""
],
[
"Van Proeyen",
"Antoine",
""
],
[
"Zagermann",
"Marco",
""
]
] | The general actions of matter-coupled N=1 supergravity have Peccei-Quinn terms that may violate gauge and supersymmetry invariance. In addition, N=1 supergravity with vector multiplets may also contain generalized Chern-Simons terms. These have often been neglected in the literature despite their importance for gauge and supersymmetry invariance. We clarify the interplay of Peccei-Quinn terms, generalized Chern-Simons terms and quantum anomalies in the context of N=1 supergravity and exhibit conditions that have to be satisfied for their mutual consistency. This extension of the previously known N=1 matter-coupled supergravity actions follows naturally from the embedding of the gauge group into the group of symplectic duality transformations. Our results regarding this extension provide the supersymmetric framework for studies of string compactifications with axionic shift symmetries, generalized Chern-Simons terms and quantum anomalies. |
2312.01580 | Yong Zhang | Jin Dong, Yao-Qi Zhang and Yong Zhang | One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators
from the Worldsheet | 6+6 pages, three figures. v2: minimal cosmetic changes, matches the
published version in PRD | null | 10.1103/PhysRevD.109.L101905 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a novel approach for deriving one-loop Bern-Carrasco-Johansson
(BCJ) numerators and reveal the worldsheet origin of the one-loop double copy.
Our work shows that expanding Cachazo-He-Yuan half-integrands into generalized
Parke-Taylor factors intrinsically generates BCJ numerators on quadratic
propagators satisfying Jacobi identities. We validate our methodology by
successfully reproducing one-loop BCJ numerators for Non-Linear Sigma Model as
well as those of pure Yang-Mills theory in four dimensions with all-plus or
single-minus helicities.
| [
{
"created": "Mon, 4 Dec 2023 02:33:18 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2024 23:47:31 GMT",
"version": "v2"
}
] | 2024-07-29 | [
[
"Dong",
"Jin",
""
],
[
"Zhang",
"Yao-Qi",
""
],
[
"Zhang",
"Yong",
""
]
] | We introduce a novel approach for deriving one-loop Bern-Carrasco-Johansson (BCJ) numerators and reveal the worldsheet origin of the one-loop double copy. Our work shows that expanding Cachazo-He-Yuan half-integrands into generalized Parke-Taylor factors intrinsically generates BCJ numerators on quadratic propagators satisfying Jacobi identities. We validate our methodology by successfully reproducing one-loop BCJ numerators for Non-Linear Sigma Model as well as those of pure Yang-Mills theory in four dimensions with all-plus or single-minus helicities. |
hep-th/0609172 | Ralf Hofmann | Francesco Giacosa and Ralf Hofmann | Potential for inert adjoint scalar field in SU(2) Yang-Mills
thermodynamics | 9 pages, 1 figure v4: a number of small editions to the text, matches
published version | Prog.Theor.Phys.118:759-767,2007 | 10.1143/PTP.118.759 | HD-THEP-06-24 | hep-th | null | A scalar adjoint field is introduced as a spatial average over (anti)calorons
in a thermalized SU(2) Yang-Mills theory. This field is associated with the
thermal ground state in the deconfining phase and acts as a background for
gauge fields of trivial topology. Without invoking detailed microscopic
information we study the properties of the corresponding potential, and we
discuss its thermodynamical implications. We also investigate the gluon
condensate at finite temperature relating it to the adjoint scalar field.
| [
{
"created": "Mon, 25 Sep 2006 13:25:47 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2006 08:21:06 GMT",
"version": "v2"
},
{
"created": "Fri, 4 May 2007 15:29:57 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Aug 2007 12:26:17 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Giacosa",
"Francesco",
""
],
[
"Hofmann",
"Ralf",
""
]
] | A scalar adjoint field is introduced as a spatial average over (anti)calorons in a thermalized SU(2) Yang-Mills theory. This field is associated with the thermal ground state in the deconfining phase and acts as a background for gauge fields of trivial topology. Without invoking detailed microscopic information we study the properties of the corresponding potential, and we discuss its thermodynamical implications. We also investigate the gluon condensate at finite temperature relating it to the adjoint scalar field. |
hep-th/9311049 | David R. Morrison | David R. Morrison | Where is the large radius limit? | 5 pages with 2 figures, LaTeX and epsf.tex (Talk presented at the
STRINGS'93 conference, May 24--29, 1993, Berkeley | Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World
Scientific, Singapore, 1995, pp. 311-315 | null | IASSNS-HEP-93/68 | hep-th alg-geom math.AG | null | By properly accounting for the invariance of a Calabi-Yau sigma-model under
shifts of the $B$-field by integral amounts (analagous to the $\theta$-angle in
QCD), we show that the moduli spaces of such sigma-models can often be enlarged
to include ``large radius limit'' points. In the simplest cases, there are
holomorphic coordinates on the enlarged moduli space which vanish at the limit
point, and which appear as multipliers in front of instanton contributions to
Yukawa couplings. (Those instanton contributions are therefore suppressed at
the limit point.) In more complicated cases, the instanton contributions are
still suppressed but the enlarged space is singular at the limit point. This
singularity may have interesting effects on the effective four-dimensional
theory, when the Calabi-Yau is used to compactify the heterotic string.
| [
{
"created": "Tue, 9 Nov 1993 01:45:24 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Morrison",
"David R.",
""
]
] | By properly accounting for the invariance of a Calabi-Yau sigma-model under shifts of the $B$-field by integral amounts (analagous to the $\theta$-angle in QCD), we show that the moduli spaces of such sigma-models can often be enlarged to include ``large radius limit'' points. In the simplest cases, there are holomorphic coordinates on the enlarged moduli space which vanish at the limit point, and which appear as multipliers in front of instanton contributions to Yukawa couplings. (Those instanton contributions are therefore suppressed at the limit point.) In more complicated cases, the instanton contributions are still suppressed but the enlarged space is singular at the limit point. This singularity may have interesting effects on the effective four-dimensional theory, when the Calabi-Yau is used to compactify the heterotic string. |
hep-th/0610081 | Benjamin C. Harms | B. Harms and O. Micu | Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect | 9 pages, RevTeX4, references added, small changes in the text | J.Phys.A40:10337-10348,2007 | 10.1088/1751-8113/40/33/024 | null | hep-th | null | We study a system of electrons moving on a noncommutative plane in the
presence of an external magnetic field which is perpendicular to this plane.
For generality we assume that the coordinates and the momenta are both
noncommutative. We make a transformation from the noncommutative coordinates to
a set of commuting coordinates and then we write the Hamiltonian for this
system. The energy spectrum and the expectation value of the current can then
be calculated and the Hall conductivity can be extracted. We use the same
method to calculate the phase shift for the Aharonov-Bohm effect. Precession
measurements could allow strong upper limits to be imposed on the
noncommutativity coordinate and momentum parameters $\Theta$ and $\Xi$.
| [
{
"created": "Fri, 6 Oct 2006 23:24:52 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2006 00:03:15 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Jan 2007 16:41:09 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Harms",
"B.",
""
],
[
"Micu",
"O.",
""
]
] | We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We make a transformation from the noncommutative coordinates to a set of commuting coordinates and then we write the Hamiltonian for this system. The energy spectrum and the expectation value of the current can then be calculated and the Hall conductivity can be extracted. We use the same method to calculate the phase shift for the Aharonov-Bohm effect. Precession measurements could allow strong upper limits to be imposed on the noncommutativity coordinate and momentum parameters $\Theta$ and $\Xi$. |
hep-th/9711146 | Max Niedermaier | M.R. Niedermaier | Form Factors, Thermal States and Modular Structures | 40 pages, Latex. Simplification of the algebra and update | Nucl.Phys. B519 (1998) 517-550 | 10.1016/S0550-3213(98)00130-8 | null | hep-th nlin.SI solv-int | null | Form factor sequences of an integrable QFT can be defined axiomatically as
solutions of a system of recursive functional equations, known as ``form factor
equations''. We show that their solution can be replaced with the study of the
representation theory of a novel algebra F(S). It is associated with a given
two-particle S-matrix and has the following features: (i) It contains a double
TTS algebra as a subalgebra. (ii) Form factors arise as thermal vector states
over F(S) of temperature 1/2\pi. The thermal ground states are in
correspondence to the local operators of the QFT. (iii) The underlying `finite
temperature structure' is indirectly related to the ``Unruh effect'' in Rindler
spacetime. In F(S) it is manifest through modular structures (j,\delta) in the
sense of algebraic QFT, which can be implemented explicitly in terms of the TTS
generators.
| [
{
"created": "Wed, 19 Nov 1997 09:31:18 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Dec 1997 10:39:57 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Sep 1998 17:14:55 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Niedermaier",
"M. R.",
""
]
] | Form factor sequences of an integrable QFT can be defined axiomatically as solutions of a system of recursive functional equations, known as ``form factor equations''. We show that their solution can be replaced with the study of the representation theory of a novel algebra F(S). It is associated with a given two-particle S-matrix and has the following features: (i) It contains a double TTS algebra as a subalgebra. (ii) Form factors arise as thermal vector states over F(S) of temperature 1/2\pi. The thermal ground states are in correspondence to the local operators of the QFT. (iii) The underlying `finite temperature structure' is indirectly related to the ``Unruh effect'' in Rindler spacetime. In F(S) it is manifest through modular structures (j,\delta) in the sense of algebraic QFT, which can be implemented explicitly in terms of the TTS generators. |
1611.02702 | Nico Salzetta | Yasunori Nomura, Nico Salzetta, Fabio Sanches, Sean J. Weinberg | Toward a Holographic Theory for General Spacetimes | 54 pages, 14 figures; version to appear in Phys. Rev. D | Phys. Rev. D 95, 086002 (2017) | 10.1103/PhysRevD.95.086002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a holographic theory of general spacetimes that does not rely on the
existence of asymptotic regions. This theory is to be formulated in a
holographic space. When a semiclassical description is applicable, the
holographic space is assumed to be a holographic screen: a codimension-1
surface that is capable of encoding states of the gravitational spacetime. Our
analysis is guided by conjectured relationships between gravitational spacetime
and quantum entanglement in the holographic description. To understand basic
features of this picture, we catalog predictions for the holographic
entanglement structure of cosmological spacetimes. We find that qualitative
features of holographic entanglement entropies for such spacetimes differ from
those in AdS/CFT but that the former reduce to the latter in the appropriate
limit. The Hilbert space of the theory is analyzed, and two plausible
structures are found: a direct sum and "spacetime equals entanglement"
structure. The former preserves a naive relationship between linear operators
and observable quantities, while the latter respects a more direct connection
between holographic entanglement and spacetime. We also discuss the issue of
selecting a state in quantum gravity, in particular how the state of the
multiverse may be selected in the landscape.
| [
{
"created": "Tue, 8 Nov 2016 21:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2017 19:45:07 GMT",
"version": "v2"
}
] | 2017-04-12 | [
[
"Nomura",
"Yasunori",
""
],
[
"Salzetta",
"Nico",
""
],
[
"Sanches",
"Fabio",
""
],
[
"Weinberg",
"Sean J.",
""
]
] | We study a holographic theory of general spacetimes that does not rely on the existence of asymptotic regions. This theory is to be formulated in a holographic space. When a semiclassical description is applicable, the holographic space is assumed to be a holographic screen: a codimension-1 surface that is capable of encoding states of the gravitational spacetime. Our analysis is guided by conjectured relationships between gravitational spacetime and quantum entanglement in the holographic description. To understand basic features of this picture, we catalog predictions for the holographic entanglement structure of cosmological spacetimes. We find that qualitative features of holographic entanglement entropies for such spacetimes differ from those in AdS/CFT but that the former reduce to the latter in the appropriate limit. The Hilbert space of the theory is analyzed, and two plausible structures are found: a direct sum and "spacetime equals entanglement" structure. The former preserves a naive relationship between linear operators and observable quantities, while the latter respects a more direct connection between holographic entanglement and spacetime. We also discuss the issue of selecting a state in quantum gravity, in particular how the state of the multiverse may be selected in the landscape. |
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