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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2209.02185 | Yasha Neiman | Yasha Neiman | New diagrammatic framework for higher-spin gravity | 5 pages + 15 pages of appendices, 1 figure + 31 diagrams; v2: PRL
version - expanded exposition and examples, corrected some combinatorics | null | 10.1103/PhysRevLett.130.171601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider minimal type-A higher-spin (HS) gravity in four dimensions, at
tree level. We propose new diagrammatic rules for this theory, involving both
Fronsdal fields and Didenko-Vasiliev (DV) particles - linearized versions of HS
gravity's "BPS black hole". The vertices include a standard minimal coupling
between particle and gauge field, the Sleight-Taronna cubic vertex for HS
fields, and a recently introduced vertex coupling two HS fields to a DV
particle. We show how these ingredients can be combined to reproduce all
n-point functions of the theory's holographic dual - the free O(N) vector
model. Our diagrammatic rules interpolate between the usual ones of field
theory and those of string theory. Our construction can be viewed as a bulk
realization of HS algebra.
| [
{
"created": "Tue, 6 Sep 2022 02:35:40 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Apr 2023 10:53:46 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Neiman",
"Yasha",
""
]
] | We consider minimal type-A higher-spin (HS) gravity in four dimensions, at tree level. We propose new diagrammatic rules for this theory, involving both Fronsdal fields and Didenko-Vasiliev (DV) particles - linearized versions of HS gravity's "BPS black hole". The vertices include a standard minimal coupling between particle and gauge field, the Sleight-Taronna cubic vertex for HS fields, and a recently introduced vertex coupling two HS fields to a DV particle. We show how these ingredients can be combined to reproduce all n-point functions of the theory's holographic dual - the free O(N) vector model. Our diagrammatic rules interpolate between the usual ones of field theory and those of string theory. Our construction can be viewed as a bulk realization of HS algebra. |
2211.14287 | Sabrina Pasterski | Yangrui Hu and Sabrina Pasterski | Celestial Conformal Colliders | null | null | 10.1007/JHEP02(2023)243 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We start by observing that the light-ray operators featured in the conformal
collider literature are celestial primaries. This allows us to rephrase the
corresponding 4D CFT correlators as probing a conformally soft matter sector of
the 2D celestial CFT (CCFT). To demonstrate the utility of this perspective we
show how the recent $w_{1+\infty}$ symmetry observed in CCFT suggests a natural
extension of the conformal collider operators.
| [
{
"created": "Fri, 25 Nov 2022 18:42:43 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Hu",
"Yangrui",
""
],
[
"Pasterski",
"Sabrina",
""
]
] | We start by observing that the light-ray operators featured in the conformal collider literature are celestial primaries. This allows us to rephrase the corresponding 4D CFT correlators as probing a conformally soft matter sector of the 2D celestial CFT (CCFT). To demonstrate the utility of this perspective we show how the recent $w_{1+\infty}$ symmetry observed in CCFT suggests a natural extension of the conformal collider operators. |
1512.00026 | Ashoke Sen | Ashoke Sen | Ultraviolet and Infrared Divergences in Superstring Theory | LaTex, 6 pages, article written for KIAS Newsletter 2015 | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Superstring theory is known to be free from ultraviolet divergences but
suffers from the usual infrared divergences that occur in quantum field
theories. After briefly reviewing the origin of ultraviolet finiteness of
superstring theory we describe recent progress towards the understanding of
infrared divergences in superstring theory.
| [
{
"created": "Mon, 30 Nov 2015 21:00:10 GMT",
"version": "v1"
}
] | 2015-12-02 | [
[
"Sen",
"Ashoke",
""
]
] | Superstring theory is known to be free from ultraviolet divergences but suffers from the usual infrared divergences that occur in quantum field theories. After briefly reviewing the origin of ultraviolet finiteness of superstring theory we describe recent progress towards the understanding of infrared divergences in superstring theory. |
0907.2244 | Olaf Lechtenfeld | Olaf Lechtenfeld, Kirill Polovnikov | A new class of solutions to the WDVV equation | 1+4 pages | Phys.Lett.A374:504-506,2010 | 10.1016/j.physleta.2009.11.052 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The known prepotential solutions F to the Witten-Dijkgraaf-Verlinde-Verlinde
(WDVV) equation are parametrized by a set {alpha} of covectors. This set may be
taken to be indecomposable, since F_{alpha oplus beta}=F_{alpha}+F_{beta}. We
couple mutually orthogonal covector sets by adding so-called radial terms to
the standard form of F. The resulting reducible covector set yields a new type
of irreducible solution to the WDVV equation.
| [
{
"created": "Tue, 14 Jul 2009 15:12:05 GMT",
"version": "v1"
}
] | 2010-01-06 | [
[
"Lechtenfeld",
"Olaf",
""
],
[
"Polovnikov",
"Kirill",
""
]
] | The known prepotential solutions F to the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation are parametrized by a set {alpha} of covectors. This set may be taken to be indecomposable, since F_{alpha oplus beta}=F_{alpha}+F_{beta}. We couple mutually orthogonal covector sets by adding so-called radial terms to the standard form of F. The resulting reducible covector set yields a new type of irreducible solution to the WDVV equation. |
1905.08669 | R Loll | R. Loll | Quantum Gravity from Causal Dynamical Triangulations: A Review | 64 pages, 28 figures | null | 10.1088/1361-6382/ab57c7 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This topical review gives a comprehensive overview and assessment of recent
results in Causal Dynamical Triangulations (CDT), a modern formulation of
lattice gravity, whose aim is to obtain a theory of quantum gravity
nonperturbatively from a scaling limit of the lattice-regularized theory. In
this manifestly diffeomorphism-invariant approach one has direct, computational
access to a Planckian spacetime regime, which is explored with the help of
invariant quantum observables. During the last few years, there have been
numerous new and important developments and insights concerning the theory's
phase structure, the roles of time, causality, diffeomorphisms and global
topology, the application of renormalization group methods and new observables.
We will focus on these new results, primarily in four spacetime dimensions, and
discuss some of their geometric and physical implications.
| [
{
"created": "Tue, 21 May 2019 14:33:23 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Loll",
"R.",
""
]
] | This topical review gives a comprehensive overview and assessment of recent results in Causal Dynamical Triangulations (CDT), a modern formulation of lattice gravity, whose aim is to obtain a theory of quantum gravity nonperturbatively from a scaling limit of the lattice-regularized theory. In this manifestly diffeomorphism-invariant approach one has direct, computational access to a Planckian spacetime regime, which is explored with the help of invariant quantum observables. During the last few years, there have been numerous new and important developments and insights concerning the theory's phase structure, the roles of time, causality, diffeomorphisms and global topology, the application of renormalization group methods and new observables. We will focus on these new results, primarily in four spacetime dimensions, and discuss some of their geometric and physical implications. |
hep-th/0202147 | Gungwon Kang | Gungwon Kang | On the Stability of Black Strings/Branes | three references added, 8 pages, 1 figure, based on a talk given at
the 11th Workshop on General Relativity and Gravitation held at Waseda
University in Japan during Jan. 9-12, 2002 | null | null | KEK-TH-803 | hep-th gr-qc | null | Some issues on the stability of black string or brane solutions are
summarized briefly. The stability of dS/AdS-Schwarzschild black strings has
been investigated. Interestingly, the AdS-Schwarzschild black strings turn out
to be stable as the horizon size becomes larger than the AdS scale. It is also
shown that BTZ black strings in four dimensions are stable regardless of the
horizon size. Such stable feature seems to be common for several known black
strings in dimensions lower than five. Some implications of our results on the
role of non-uniformity in stable black string configurations are also
discussed.
| [
{
"created": "Thu, 21 Feb 2002 17:02:39 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2002 01:35:58 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kang",
"Gungwon",
""
]
] | Some issues on the stability of black string or brane solutions are summarized briefly. The stability of dS/AdS-Schwarzschild black strings has been investigated. Interestingly, the AdS-Schwarzschild black strings turn out to be stable as the horizon size becomes larger than the AdS scale. It is also shown that BTZ black strings in four dimensions are stable regardless of the horizon size. Such stable feature seems to be common for several known black strings in dimensions lower than five. Some implications of our results on the role of non-uniformity in stable black string configurations are also discussed. |
1112.1097 | Rhys Davies | Volker Braun, Philip Candelas, Rhys Davies, Ron Donagi | The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard
Embedding | 37 pages including appendices | JHEP 1205 (2012) 127 | 10.1007/JHEP05(2012)127 | null | hep-th hep-ph math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct supersymmetric compactifications of E_8 \times E_8 heterotic
string theory which realise exactly the massless spectrum of the Minimal
Supersymmetric Standard Model (MSSM) at low energies. The starting point is the
standard embedding on a Calabi-Yau threefold which has Hodge numbers
(h^11,h^21) = (1,4) and fundamental group Z_12, which gives an E_6 grand
unified theory with three net chiral generations. The gauge symmetry is then
broken to that of the standard model by a combination of discrete Wilson lines
and continuous deformation of the gauge bundle. On eight distinct branches of
the moduli space, we find stable bundles with appropriate cohomology groups to
give exactly the massless spectrum of the MSSM.
| [
{
"created": "Mon, 5 Dec 2011 21:30:33 GMT",
"version": "v1"
}
] | 2012-06-08 | [
[
"Braun",
"Volker",
""
],
[
"Candelas",
"Philip",
""
],
[
"Davies",
"Rhys",
""
],
[
"Donagi",
"Ron",
""
]
] | We construct supersymmetric compactifications of E_8 \times E_8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard embedding on a Calabi-Yau threefold which has Hodge numbers (h^11,h^21) = (1,4) and fundamental group Z_12, which gives an E_6 grand unified theory with three net chiral generations. The gauge symmetry is then broken to that of the standard model by a combination of discrete Wilson lines and continuous deformation of the gauge bundle. On eight distinct branches of the moduli space, we find stable bundles with appropriate cohomology groups to give exactly the massless spectrum of the MSSM. |
hep-th/9809126 | Marco Matone | Alon E. Faraggi and Marco Matone | Equivalence Principle: Tunnelling, Quantized Spectra and Trajectories
from the Quantum HJ Equation | 1+10 pages, LaTeX. Typos corrected, to appear in Phys. Lett. B | Phys.Lett. B445 (1999) 357-365 | 10.1016/S0370-2693(98)01485-3 | UMN-TH-1721-98-TPI-MINN-98/18, DFPD97/TH/58 | hep-th gr-qc hep-ph math-ph math.MP nlin.SI quant-ph solv-int | null | A basic aspect of the recently proposed approach to quantum mechanics is that
no use of any axiomatic interpretation of the wave function is made. In
particular, the quantum potential turns out to be an intrinsic potential energy
of the particle, which, similarly to the relativistic rest energy, is never
vanishing. This is related to the tunnel effect, a consequence of the fact that
the conjugate momentum field is real even in the classically forbidden regions.
The quantum stationary Hamilton-Jacobi equation is defined only if the ratio
psi^D/psi of two real linearly independent solutions of the Schroedinger
equation, and therefore of the trivializing map, is a local homeomorphism of
the extended real line into itself, a consequence of the Moebius symmetry of
the Schwarzian derivative. In this respect we prove a basic theorem relating
the request of continuity at spatial infinity of psi^D/psi, a consequence of
the q - 1/q duality of the Schwarzian derivative, to the existence of L^2(R)
solutions of the corresponding Schroedinger equation. As a result, while in the
conventional approach one needs the Schroedinger equation with the L^2(R)
condition, consequence of the axiomatic interpretation of the wave function,
the equivalence principle by itself implies a dynamical equation that does not
need any assumption and reproduces both the tunnel effect and energy
quantization.
| [
{
"created": "Thu, 17 Sep 1998 15:59:32 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 1998 15:45:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Faraggi",
"Alon E.",
""
],
[
"Matone",
"Marco",
""
]
] | A basic aspect of the recently proposed approach to quantum mechanics is that no use of any axiomatic interpretation of the wave function is made. In particular, the quantum potential turns out to be an intrinsic potential energy of the particle, which, similarly to the relativistic rest energy, is never vanishing. This is related to the tunnel effect, a consequence of the fact that the conjugate momentum field is real even in the classically forbidden regions. The quantum stationary Hamilton-Jacobi equation is defined only if the ratio psi^D/psi of two real linearly independent solutions of the Schroedinger equation, and therefore of the trivializing map, is a local homeomorphism of the extended real line into itself, a consequence of the Moebius symmetry of the Schwarzian derivative. In this respect we prove a basic theorem relating the request of continuity at spatial infinity of psi^D/psi, a consequence of the q - 1/q duality of the Schwarzian derivative, to the existence of L^2(R) solutions of the corresponding Schroedinger equation. As a result, while in the conventional approach one needs the Schroedinger equation with the L^2(R) condition, consequence of the axiomatic interpretation of the wave function, the equivalence principle by itself implies a dynamical equation that does not need any assumption and reproduces both the tunnel effect and energy quantization. |
1612.06859 | Sebastian Franco | Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa | Quadrality for Supersymmetric Matrix Models | 46 pages, 18 figures | JHEP 1707:053,2017 | 10.1007/JHEP07(2017)053 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new duality for $\mathcal{N}=1$ supersymmetric gauged matrix
models. This $0d$ duality is an order 4 symmetry, namely an equivalence between
four different theories, hence we call it Quadrality. Our proposal is motivated
by mirror symmetry, but is not restricted to theories with a D-brane
realization and holds for general $\mathcal{N}=1$ matrix models. We present
various checks of the proposal, including the matching of: global symmetries,
anomalies, deformations and the chiral ring. We also consider quivers and the
corresponding quadrality networks. Finally, we initiate the study of matrix
models that arise on the worldvolume of D(-1)-branes probing toric Calabi-Yau
5-folds.
| [
{
"created": "Tue, 20 Dec 2016 21:00:00 GMT",
"version": "v1"
}
] | 2017-07-14 | [
[
"Franco",
"Sebastian",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Seong",
"Rak-Kyeong",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We introduce a new duality for $\mathcal{N}=1$ supersymmetric gauged matrix models. This $0d$ duality is an order 4 symmetry, namely an equivalence between four different theories, hence we call it Quadrality. Our proposal is motivated by mirror symmetry, but is not restricted to theories with a D-brane realization and holds for general $\mathcal{N}=1$ matrix models. We present various checks of the proposal, including the matching of: global symmetries, anomalies, deformations and the chiral ring. We also consider quivers and the corresponding quadrality networks. Finally, we initiate the study of matrix models that arise on the worldvolume of D(-1)-branes probing toric Calabi-Yau 5-folds. |
hep-th/0401096 | Noriaki Kitazawa | Noriaki Kitazawa | Supersymmetric Composite Models on Intersecting D-branes | 15 pages, 2 figures | Nucl.Phys. B699 (2004) 124-134 | 10.1016/j.nuclphysb.2004.08.011 | null | hep-th | null | We construct supersymmetric composite models of quarks and leptons from type
IIA T^6/(Z_2 x Z_2) orientifolds with intersecting D6-branes. In case of T^6 =
T^2 x T^2 x T^2 with no tilted T^2, a composite model of the supersymmetric
SU(5) grand unified theory with three generations is constructed. In case of
that one T^2 is tilted, a composite model with SU(3)_c x SU(2)_L x U(1)_Y gauge
symmetry with three generations is constructed. These models are not realistic,
but contain fewer additional exotic particles and U(1) gauge symmetries due to
the introduction of the compositeness of quarks and leptons. The masses of some
exotic particles are naturally generated through the Yukawa interactions among
"preons".
| [
{
"created": "Wed, 14 Jan 2004 09:49:37 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 2004 10:16:33 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Jan 2004 07:16:28 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Kitazawa",
"Noriaki",
""
]
] | We construct supersymmetric composite models of quarks and leptons from type IIA T^6/(Z_2 x Z_2) orientifolds with intersecting D6-branes. In case of T^6 = T^2 x T^2 x T^2 with no tilted T^2, a composite model of the supersymmetric SU(5) grand unified theory with three generations is constructed. In case of that one T^2 is tilted, a composite model with SU(3)_c x SU(2)_L x U(1)_Y gauge symmetry with three generations is constructed. These models are not realistic, but contain fewer additional exotic particles and U(1) gauge symmetries due to the introduction of the compositeness of quarks and leptons. The masses of some exotic particles are naturally generated through the Yukawa interactions among "preons". |
2004.06129 | Adiel Meyer | Roberto Bonezzi, Adiel Meyer and Ivo Sachs | A Worldline Theory for Supergravity | null | null | 10.1007/JHEP06(2020)103 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\cal{N}=4$ supersymmetric spinning particle admits several consistent
quantizations, related to the gauging of different subgroups of the $SO(4)$
$R$-symmetry on the worldline. We construct the background independent BRST
quantization for all of these choices which are shown to reproduce either the
massless NS-NS spectrum of the string, or Einstein theory with or without the
antisymmetric tensor field and/or dilaton corresponding to different
restrictions. Quantum consistency of the worldline implies equations of motion
for the background which, in addition to the admissible string backgrounds,
admit Einstein manifolds with or whithout a cosmological constant. The vertex
operators for the Kalb-Ramond, graviton and dilaton fields are obtained from
the linear variations of the BRST charge. They produce the physical states by
action on the diffeomorphism ghost states.
| [
{
"created": "Mon, 13 Apr 2020 18:00:24 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Bonezzi",
"Roberto",
""
],
[
"Meyer",
"Adiel",
""
],
[
"Sachs",
"Ivo",
""
]
] | The $\cal{N}=4$ supersymmetric spinning particle admits several consistent quantizations, related to the gauging of different subgroups of the $SO(4)$ $R$-symmetry on the worldline. We construct the background independent BRST quantization for all of these choices which are shown to reproduce either the massless NS-NS spectrum of the string, or Einstein theory with or without the antisymmetric tensor field and/or dilaton corresponding to different restrictions. Quantum consistency of the worldline implies equations of motion for the background which, in addition to the admissible string backgrounds, admit Einstein manifolds with or whithout a cosmological constant. The vertex operators for the Kalb-Ramond, graviton and dilaton fields are obtained from the linear variations of the BRST charge. They produce the physical states by action on the diffeomorphism ghost states. |
hep-th/9506058 | Tomoyasu Ichihara | Kenichiro Aoki and Tomoyasu Ichihara | 1+1 dimensional QCD with fundamental bosons and fermions | 20 pages, harvmac, 5 figures | Phys.Rev. D52 (1995) 6435-6444 | 10.1103/PhysRevD.52.6435 | TIT/HEP-263 | hep-th | null | We analyze the properties of mesons in 1+1 dimensional QCD with bosonic and
fermionic ``quarks'' in the large $\nc$ limit. We study the spectrum in detail
and show that it is impossible to obtain massless mesons including boson
constituents in this model. We quantitatively show how the QCD mass inequality
is realized in two dimensional QCD. We find that the mass inequality is close
to being an equality even when the quarks are light. Methods for obtaining the
properties of ``mesons'' formed from boson and/or fermion constituents are
formulated in an explicit manner convenient for further study. We also analyze
how the physical properties of the mesons such as confinement and asymptotic
freedom are realized.
| [
{
"created": "Fri, 9 Jun 1995 07:11:42 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Aoki",
"Kenichiro",
""
],
[
"Ichihara",
"Tomoyasu",
""
]
] | We analyze the properties of mesons in 1+1 dimensional QCD with bosonic and fermionic ``quarks'' in the large $\nc$ limit. We study the spectrum in detail and show that it is impossible to obtain massless mesons including boson constituents in this model. We quantitatively show how the QCD mass inequality is realized in two dimensional QCD. We find that the mass inequality is close to being an equality even when the quarks are light. Methods for obtaining the properties of ``mesons'' formed from boson and/or fermion constituents are formulated in an explicit manner convenient for further study. We also analyze how the physical properties of the mesons such as confinement and asymptotic freedom are realized. |
1711.08510 | Sergio Ulhoa | S. C. Ulhoa, A. F. Santos, Faqir C. Khanna | Non-relativistic Casimir effect at finite temperature | null | Int. J. Mod. Phys. A 32, 1750094 (2017) | 10.1142/S0217751X17500944 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Galilean covariance, formulated in 5-dimensions space, describes the
non-relativistic physics in a way similar to quantum field theory. Using a
non-relativistic approach the Stefan-Boltzmann law and the Casimir effect at
finite temperature for a particle with spin zero and $1/2$ are calculated. The
Thermo Field Dynamics is used to calculate the temperature effect.
| [
{
"created": "Wed, 22 Nov 2017 21:24:39 GMT",
"version": "v1"
}
] | 2017-11-27 | [
[
"Ulhoa",
"S. C.",
""
],
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] | The Galilean covariance, formulated in 5-dimensions space, describes the non-relativistic physics in a way similar to quantum field theory. Using a non-relativistic approach the Stefan-Boltzmann law and the Casimir effect at finite temperature for a particle with spin zero and $1/2$ are calculated. The Thermo Field Dynamics is used to calculate the temperature effect. |
1509.08475 | Shamik Banerjee | Shamik Banerjee, Arpan Bhattacharyya | RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS
Gravity | 30 pages, Latex, Three figures, Includes a short review of
arXiv:1508.01343 [hep-th], references added, more discussion on c-theorem in
the presence of non-minimal matter coupling | JHEP 1605 (2016) 126 | 10.1007/JHEP05(2016)126 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:1508.01343 [hep-th], one of the authors proposed that in AdS/CFT the
gravity dual of the boundary $c$-theorem is the second law of thermodynamics
satisfied by causal horizons in AdS and this was verified for Einstein gravity
in the bulk. In this paper we verify this for higher derivative theories. We
pick up theories for which an entropy expression satisfying the second law
exists and show that the entropy density evaluated on the causal horizon in a
RG flow geometry is a holographic c-function. We also prove that given a theory
of gravity described by a local covariant action in the bulk a sufficient
condition to ensure holographic c-theorem is that the second law of causal
horizon thermodynamics be satisfied by the theory. This allows us to explicitly
construct holographic c-function in a theory where there is curvature coupling
between gravity and matter and standard null energy condition cannot be defined
although second law is known to hold. Based on the duality between c-theorem
and the second law of causal horizon thermodynamics proposed in
arXiv:1508.01343 [hep-th] and the supporting calculations of this paper we
conjecture that every Unitary higher derivative theory of gravity in AdS
satisfies the second law of causal horizon thermodynamics. If this is not true
then c-theorem will be violated in a unitary Lorentz invariant field theory.
| [
{
"created": "Mon, 28 Sep 2015 20:13:24 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 2015 03:23:27 GMT",
"version": "v2"
}
] | 2016-05-30 | [
[
"Banerjee",
"Shamik",
""
],
[
"Bhattacharyya",
"Arpan",
""
]
] | In arXiv:1508.01343 [hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary $c$-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the bulk. In this paper we verify this for higher derivative theories. We pick up theories for which an entropy expression satisfying the second law exists and show that the entropy density evaluated on the causal horizon in a RG flow geometry is a holographic c-function. We also prove that given a theory of gravity described by a local covariant action in the bulk a sufficient condition to ensure holographic c-theorem is that the second law of causal horizon thermodynamics be satisfied by the theory. This allows us to explicitly construct holographic c-function in a theory where there is curvature coupling between gravity and matter and standard null energy condition cannot be defined although second law is known to hold. Based on the duality between c-theorem and the second law of causal horizon thermodynamics proposed in arXiv:1508.01343 [hep-th] and the supporting calculations of this paper we conjecture that every Unitary higher derivative theory of gravity in AdS satisfies the second law of causal horizon thermodynamics. If this is not true then c-theorem will be violated in a unitary Lorentz invariant field theory. |
1002.1275 | Yu Tian | Yu Tian and Xiaoning Wu | Thermodynamics of Black Holes from Equipartition of Energy and
Holography | 13 pages, a discussion is added into section III in the new version,
which explicitly shows that our entropy formula agrees with Verlinde's
entropy variation formula in spherical cases. The abstract, introduction and
conluding remarks also have been revised. Some typing mistakes in old
versions have been corrected. v4: minor modifications, match the published
version. | Phys.Rev.D81:104013,2010 | 10.1103/PhysRevD.81.104013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A gravitational potential in the relativistic case is introduced as an
alternative to Wald's potential used by Verlinde, which reproduces the familiar
entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is
applied to the black hole case. Upon using the equipartition rule, the correct
form of the Komar mass (energy) can also be obtained, which leads to the
Einstein equations. It is explicitly shown that our entropy formula agrees with
Verlinde's entropy variation formula in spherical cases. The stationary
space-times, especially the Kerr-Newman black hole, are then discussed, where
it is shown that the equipartition rule involves the reduced mass, instead of
the ADM mass, on the horizon of the black hole.
| [
{
"created": "Fri, 5 Feb 2010 16:52:43 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2010 15:43:44 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Feb 2010 02:39:19 GMT",
"version": "v3"
},
{
"created": "Sun, 9 May 2010 07:05:15 GMT",
"version": "v4"
}
] | 2010-05-19 | [
[
"Tian",
"Yu",
""
],
[
"Wu",
"Xiaoning",
""
]
] | A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the black hole case. Upon using the equipartition rule, the correct form of the Komar mass (energy) can also be obtained, which leads to the Einstein equations. It is explicitly shown that our entropy formula agrees with Verlinde's entropy variation formula in spherical cases. The stationary space-times, especially the Kerr-Newman black hole, are then discussed, where it is shown that the equipartition rule involves the reduced mass, instead of the ADM mass, on the horizon of the black hole. |
1805.02625 | Koji Umemoto | Koji Umemoto, Yang Zhou | Entanglement of Purification for Multipartite States and its Holographic
Dual | 30 pages, 11 figures, v2:comments and references added, section 4 is
moved to appendix A, published version | JHEP 1810:152,2018 | 10.1007/JHEP10(2018)152 | YITP-18-41 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new information-theoretic measure of multipartite
quantum/classical correlations $\Delta_P$, by generalizing the entanglement of
purification to multipartite states. We provide proofs of its various
properties, focusing on several entropic inequalities, in generic quantum
systems. In particular, it turns out that the multipartite entanglement of
purification gives an upper bound on multipartite mutual information, which is
a generalization of quantum mutual information in the spirit of relative
entropy. After that, motivated by a tensor network description of the AdS/CFT
correspondence, we also define a holographic dual of multipartite entanglement
of purification $\Delta_W$, as a sum of minimal areas of codimension-2 surfaces
which divide the entanglement wedge into multi-pieces. We prove that this
geometrical quantity satisfies all properties we proved for the multipartite
entanglement of purification. These agreements strongly support the
$\Delta_{P}=\Delta_{W}$ conjecture. We also show that the multipartite
entanglement of purification gives an upper bound on multipartite squashed
entanglement, which is a promising measure of multipartite quantum
entanglement. We discuss potential saturation of multipartite squashed
entanglement onto multipartite mutual information in holographic CFTs and its
applications.
| [
{
"created": "Mon, 7 May 2018 17:16:57 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2018 10:39:44 GMT",
"version": "v2"
}
] | 2018-11-02 | [
[
"Umemoto",
"Koji",
""
],
[
"Zhou",
"Yang",
""
]
] | We introduce a new information-theoretic measure of multipartite quantum/classical correlations $\Delta_P$, by generalizing the entanglement of purification to multipartite states. We provide proofs of its various properties, focusing on several entropic inequalities, in generic quantum systems. In particular, it turns out that the multipartite entanglement of purification gives an upper bound on multipartite mutual information, which is a generalization of quantum mutual information in the spirit of relative entropy. After that, motivated by a tensor network description of the AdS/CFT correspondence, we also define a holographic dual of multipartite entanglement of purification $\Delta_W$, as a sum of minimal areas of codimension-2 surfaces which divide the entanglement wedge into multi-pieces. We prove that this geometrical quantity satisfies all properties we proved for the multipartite entanglement of purification. These agreements strongly support the $\Delta_{P}=\Delta_{W}$ conjecture. We also show that the multipartite entanglement of purification gives an upper bound on multipartite squashed entanglement, which is a promising measure of multipartite quantum entanglement. We discuss potential saturation of multipartite squashed entanglement onto multipartite mutual information in holographic CFTs and its applications. |
hep-th/0102185 | Christopher Pope | M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope | Hyper-Kahler Calabi Metrics, L^2 Harmonic Forms, Resolved M2-branes, and
AdS_4/CFT_3 Correspondence | 56 pages, Latex 3 times | Nucl.Phys.B617:151-197,2001 | 10.1016/S0550-3213(01)00449-7 | null | hep-th | null | We obtain a simple explicit expression for the hyper-Kahler Calabi metric on
the co-tangent bundle of CP^{n+1}, for all n, in which it is constructed as a
metric of cohomogeneity one with SU(n+2)/U(n) principal orbits. These results
enable us to obtain explicit expressions for an L^2-normalisable harmonic
4-form in D=8, and an L^2-normalisable harmonic 6-form in D=12. We use the
former in order to obtain an explicit resolved M2-brane solution, and we show
that this solution is invariant under all three of the supersymmetries
associated with the covariantly-constant spinors in the 8-dimensional Calabi
metric. We give some discussion of the corresponding dual N=3 three-dimensional
field theory. Various other topics are also addressed, including
superpotentials for the Calabi metrics and the metrics of exceptional G_2 and
Spin(7) holonomy in D=7 and D=8. We also present complex and quaternionic
conifold constructions, associated with the cone metrics whose resolutions are
provided by the Stenzel T^*S^{n+1} and Calabi T^*\CP^{n+1} metrics. In the
latter case we relate the construction to the hyper-Kahler quotient. We then
use the hyper-K\"ahler quotient to give a quaternionic rederivation of the
Calabi metrics.
| [
{
"created": "Tue, 27 Feb 2001 23:26:12 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We obtain a simple explicit expression for the hyper-Kahler Calabi metric on the co-tangent bundle of CP^{n+1}, for all n, in which it is constructed as a metric of cohomogeneity one with SU(n+2)/U(n) principal orbits. These results enable us to obtain explicit expressions for an L^2-normalisable harmonic 4-form in D=8, and an L^2-normalisable harmonic 6-form in D=12. We use the former in order to obtain an explicit resolved M2-brane solution, and we show that this solution is invariant under all three of the supersymmetries associated with the covariantly-constant spinors in the 8-dimensional Calabi metric. We give some discussion of the corresponding dual N=3 three-dimensional field theory. Various other topics are also addressed, including superpotentials for the Calabi metrics and the metrics of exceptional G_2 and Spin(7) holonomy in D=7 and D=8. We also present complex and quaternionic conifold constructions, associated with the cone metrics whose resolutions are provided by the Stenzel T^*S^{n+1} and Calabi T^*\CP^{n+1} metrics. In the latter case we relate the construction to the hyper-Kahler quotient. We then use the hyper-K\"ahler quotient to give a quaternionic rederivation of the Calabi metrics. |
hep-th/9707052 | Li Jiarong | Zheng Xiaoping and Li Jiarong | The Asymptotic Method Developed from Weak Turbulent Theory and the
Nonlinear Permeability and Damping Rate in QGP | 16pages | Phys.Lett. B409 (1997) 45-50 | 10.1016/S0370-2693(97)00849-6 | HZPP9703 | hep-th | null | With asymptotic method developed from weak turbulent theory, the kinetic
equations for QGP are expanded in fluctuation field potential $A^T_\mu $.
Considering the second-order and third-order currents, we derive the nonlinear
permeability tensor function from Yang-Mills field equation, and find that the
third-order current is more important in turbulent theory. The nonlinear
permeability formulae for longitudinal color oscillations show that the
non-Abelian effects are more important than the Abelian-like effects. To
compare with other works, we give the numerical result of the damping rate for
the modes with zero wave vector.
| [
{
"created": "Wed, 2 Jul 1997 22:25:56 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Xiaoping",
"Zheng",
""
],
[
"Jiarong",
"Li",
""
]
] | With asymptotic method developed from weak turbulent theory, the kinetic equations for QGP are expanded in fluctuation field potential $A^T_\mu $. Considering the second-order and third-order currents, we derive the nonlinear permeability tensor function from Yang-Mills field equation, and find that the third-order current is more important in turbulent theory. The nonlinear permeability formulae for longitudinal color oscillations show that the non-Abelian effects are more important than the Abelian-like effects. To compare with other works, we give the numerical result of the damping rate for the modes with zero wave vector. |
hep-th/9212088 | null | E.V. Shuryak and J.J.M. Verbaarschot | Random matrix theory and spectral sum rules for the Dirac operator in
QCD | 18 pages, SUNY-NTG-92/45 | Nucl.Phys.A560:306-320,1993 | 10.1016/0375-9474(93)90098-I | null | hep-th hep-lat | null | We construct a random matrix model that, in the large $N$ limit, reduces to
the low energy limit of the QCD partition function put forward by Leutwyler and
Smilga. This equivalence holds for an arbitrary number of flavors and any value
of the QCD vacuum angle. In this model, moments of the inverse squares of the
eigenvalues of the Dirac operator obey sum rules, which we conjecture to be
universal. In other words, the validity of the sum rules depends only on the
symmetries of the theory but not on its details. To illustrate this point we
show that the sum rules hold for an interacting liquid of instantons. The
physical interpretation is that the way the thermodynamic limit of the spectral
density near zero is approached is universal. However, its value, $i.e.$ the
chiral condensate, is not.
| [
{
"created": "Mon, 14 Dec 1992 17:06:17 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Shuryak",
"E. V.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We construct a random matrix model that, in the large $N$ limit, reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of the QCD vacuum angle. In this model, moments of the inverse squares of the eigenvalues of the Dirac operator obey sum rules, which we conjecture to be universal. In other words, the validity of the sum rules depends only on the symmetries of the theory but not on its details. To illustrate this point we show that the sum rules hold for an interacting liquid of instantons. The physical interpretation is that the way the thermodynamic limit of the spectral density near zero is approached is universal. However, its value, $i.e.$ the chiral condensate, is not. |
hep-th/9406159 | Steve Kelley | Valery A. Kholodnyi | On Transformations Preserving the Basis Conditions of a Spin Structure
Group in Four-Dimensional Super String Theory in Free Fermionic Formulation | 10 pages, MIU-THP-94/67 | J.Math.Phys.35:5630-5641,1994 | 10.1063/1.530768 | null | hep-th | null | Let $\Xi$ stand for a finite abelian spin structure group of four-dimensional
superstring theory in free fermionic formulation whose elements are
64-dimensional vectors (spin structure vectors) with rational entries belonging
to $\rbrack -1,\, 1\rbrack $ and the group operation is the $mod\, \, 2 $ entry
by entry summation $\oplus $ of these vectors. Let $B=\{b_i,\, i= 1,\cdots
,k+1\}$ be a set of spin structure vectors such that $b_i$ have only entries 0
and 1 for any $\, i= 1,\cdots ,k$, while $b_{k+1}$ is allowed to have any
rational entries belonging to $\rbrack -1,\, 1\rbrack $ with even $N_{k+1}$,
where $N_{k+1}$ stands for the least positive integer such that
$N_{k+1}b_{k+1}= 0\,mod\,2$. Let $B$ be a basis of $\Xi$, i.e., let $B$
generate $\Xi$, and let $\Lambda_{m, n}$ stand for the transformation of $B$
which replaces $b_n$ by $b_m\oplus b_n$ for any $m \ne k+1$, $n \ne 1$, $m \ne
n$. We prove that if $B$ satisfies the axioms for a basis of spin structure
group $\Xi$, then $B'=\Lambda_{m, n}B$ also satisfies the axioms. Since the
transformations $\Lambda_{m,n}$ for different $m$ and $n$ generate all
nondegenerate transformations of the basis $B$ that preserve the vector $b_1$
and a single vector $ b_{k+1} $ with general rational entries, we conclude that
the axioms are conditions for the whole group $\Xi$ and not just conditions for
a particular choice of its basis. Hence, these transformations generate the
discrete symmetry group of four-dimensional superstring models in free
fermionic formulation.
| [
{
"created": "Thu, 23 Jun 1994 14:37:01 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Kholodnyi",
"Valery A.",
""
]
] | Let $\Xi$ stand for a finite abelian spin structure group of four-dimensional superstring theory in free fermionic formulation whose elements are 64-dimensional vectors (spin structure vectors) with rational entries belonging to $\rbrack -1,\, 1\rbrack $ and the group operation is the $mod\, \, 2 $ entry by entry summation $\oplus $ of these vectors. Let $B=\{b_i,\, i= 1,\cdots ,k+1\}$ be a set of spin structure vectors such that $b_i$ have only entries 0 and 1 for any $\, i= 1,\cdots ,k$, while $b_{k+1}$ is allowed to have any rational entries belonging to $\rbrack -1,\, 1\rbrack $ with even $N_{k+1}$, where $N_{k+1}$ stands for the least positive integer such that $N_{k+1}b_{k+1}= 0\,mod\,2$. Let $B$ be a basis of $\Xi$, i.e., let $B$ generate $\Xi$, and let $\Lambda_{m, n}$ stand for the transformation of $B$ which replaces $b_n$ by $b_m\oplus b_n$ for any $m \ne k+1$, $n \ne 1$, $m \ne n$. We prove that if $B$ satisfies the axioms for a basis of spin structure group $\Xi$, then $B'=\Lambda_{m, n}B$ also satisfies the axioms. Since the transformations $\Lambda_{m,n}$ for different $m$ and $n$ generate all nondegenerate transformations of the basis $B$ that preserve the vector $b_1$ and a single vector $ b_{k+1} $ with general rational entries, we conclude that the axioms are conditions for the whole group $\Xi$ and not just conditions for a particular choice of its basis. Hence, these transformations generate the discrete symmetry group of four-dimensional superstring models in free fermionic formulation. |
1401.2096 | Dine Ousmane Samary | Dine Ousmane Samary | Closed equations of the two-point functions for tensorial group field
theory | 28 pages, 12 figures | Class. Quantum Grav. 31 (2014) 185005 | 10.1088/0264-9381/31/18/185005 | null | hep-th | http://creativecommons.org/licenses/publicdomain/ | In this paper we provide the closed equations that satisfy two-point
correlation functions of the rank 3 and 4 tensorial group field theory. The
formulation of the present problem extends the method used by Grosse and
Wulkenhaar in [arXiv 0909.1389] to the tensor case. Ward-Takahashi identities
and Schwinger-Dyson equations are combined to establish a nonlinear integral
equation for the two-point functions. In the 3D case the solution of this
equation is given perturbatively at second order of the coupling constant.
| [
{
"created": "Thu, 9 Jan 2014 17:46:39 GMT",
"version": "v1"
}
] | 2014-09-01 | [
[
"Samary",
"Dine Ousmane",
""
]
] | In this paper we provide the closed equations that satisfy two-point correlation functions of the rank 3 and 4 tensorial group field theory. The formulation of the present problem extends the method used by Grosse and Wulkenhaar in [arXiv 0909.1389] to the tensor case. Ward-Takahashi identities and Schwinger-Dyson equations are combined to establish a nonlinear integral equation for the two-point functions. In the 3D case the solution of this equation is given perturbatively at second order of the coupling constant. |
0801.0503 | Guendelman Eduardo I | E.I. Guendelman | Localized Axion Photon States in a Strong Magnetic Field | 9 pages, Latex, pacs:11.30.Fs, 14.80.Mz, 14.70.Bh. A small change in
text introduced | Phys.Lett.B662:227-230,2008 | 10.1016/j.physletb.2008.03.003 | null | hep-th | null | We consider the axion field and electromagnetic waves with rapid time
dependence, coupled to a strong time independent, asymptotically approaching a
constant at infinity "mean" magnetic field, which takes into account the back
reaction from the axion field and electromagnetic waves with rapid time
dependence in a time averaged way. The direction of the self consistent mean
field is orthogonal to the common direction of propagation of the axion and
electromagnetic waves with rapid time dependence and parallel to the
polarization of these electromagnetic waves. Then, there is an effective U(1)
symmetry mixing axions and photons. Using the natural complex variables that
this U(1) symmetry suggests we find localized planar soliton solutions. These
solutions appear to be stable since they produce a different magnetic flux than
the state with only a constant magnetic field, which we take as our "ground
state". The solitons also have non trivial U(1) charge defined before,
different from the uncharged vacuum.
| [
{
"created": "Thu, 3 Jan 2008 10:43:05 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2008 07:43:28 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Guendelman",
"E. I.",
""
]
] | We consider the axion field and electromagnetic waves with rapid time dependence, coupled to a strong time independent, asymptotically approaching a constant at infinity "mean" magnetic field, which takes into account the back reaction from the axion field and electromagnetic waves with rapid time dependence in a time averaged way. The direction of the self consistent mean field is orthogonal to the common direction of propagation of the axion and electromagnetic waves with rapid time dependence and parallel to the polarization of these electromagnetic waves. Then, there is an effective U(1) symmetry mixing axions and photons. Using the natural complex variables that this U(1) symmetry suggests we find localized planar soliton solutions. These solutions appear to be stable since they produce a different magnetic flux than the state with only a constant magnetic field, which we take as our "ground state". The solitons also have non trivial U(1) charge defined before, different from the uncharged vacuum. |
1705.10392 | Mitsutoshi Fujita | Sumit R. Das, Mitsutoshi Fujita, Bom Soo Kim | Holographic entanglement entropy of a $1+1$ dimensional $p$-wave
superconductor | 16 pages, 17 figures, v2: references added, section 3.1 added, JHEP
style | JHEP09(2017)016 | 10.1007/JHEP09(2017)016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the behavior of entanglement entropy of a subsystem $A$ in a fully
backreacted holographic model of a $1+1$ dimensional $p$ wave superconductor
across the phase transition. For a given temperature, the system goes to a
superconducting phase beyond a critical value of the charge density. The
entanglement entropy, considered as a function of the charge density at a given
temperature, has a cusp at the critical point. In addition, we find that there
are three different behaviors in the condensed phase, depending on the
subsystem size. For a subsystem size $l$ smaller than a critical size $l_{c1}$,
entanglement entropy continues to increase as a function of the charge density
as we cross the phase transition. When $l$ lies between $l_{c1}$ and another
critical size $l_{c2}$ the entanglement entropy displays a non-monotonic
behavior, while for $l > l_{c2}$ it decreases monotonically. At large charge
densities entanglement entropy appears to saturate. The non-monotonic behavior
leads to a novel phase diagram for this system.
| [
{
"created": "Mon, 29 May 2017 20:46:57 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2017 03:39:01 GMT",
"version": "v2"
}
] | 2017-09-12 | [
[
"Das",
"Sumit R.",
""
],
[
"Fujita",
"Mitsutoshi",
""
],
[
"Kim",
"Bom Soo",
""
]
] | We examine the behavior of entanglement entropy of a subsystem $A$ in a fully backreacted holographic model of a $1+1$ dimensional $p$ wave superconductor across the phase transition. For a given temperature, the system goes to a superconducting phase beyond a critical value of the charge density. The entanglement entropy, considered as a function of the charge density at a given temperature, has a cusp at the critical point. In addition, we find that there are three different behaviors in the condensed phase, depending on the subsystem size. For a subsystem size $l$ smaller than a critical size $l_{c1}$, entanglement entropy continues to increase as a function of the charge density as we cross the phase transition. When $l$ lies between $l_{c1}$ and another critical size $l_{c2}$ the entanglement entropy displays a non-monotonic behavior, while for $l > l_{c2}$ it decreases monotonically. At large charge densities entanglement entropy appears to saturate. The non-monotonic behavior leads to a novel phase diagram for this system. |
2106.12632 | Hong Lu | Shi-Fa Guo, H. Lu and Yi Pang | Degenerate Black Rings in $D=5$ Minimal Supergravity | Latex, 25 pages, typos corrected, reference added and the origin of
the Gibbs free-energy discontinuity explained. To appear in SCPMA | Sci. China-Phys. Mech. Astron. 64, 110411 (2021) | 10.1007/s11433-021-1761-8 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider both gauged and ungauged minimal supergravities in five
dimensions and analyse the charged rotating solutions with two equal angular
momenta $J$. When the electric charge $Q\sim J^{2/3}$ with some specific
coefficient, we find new extremal black objects emerge that are asymptotic to
either Minkowski or global AdS spacetimes and can be best described as
degenerate black rings. Their near-horizon geometry is locally AdS$_3\times
S^2$, where the periodic $U(1)$ fibre coordinate in $S^3$ untwists and
collapses to be the degenerate part of the AdS$_3$ horizon. It turns out that
there are two branches of extremal rotating black holes, starting as the
extremal RN black holes of the same mass, but opposite charges. With the
increasing of the angular momentum, they will join to become the same
degenerate black ring, where the Gibbs free energies however are not continuous
at the joining. For the same $Q(J)$ relation, we find that there is in addition
a rotating soliton whose mass is smaller than the degenerate black ring.
| [
{
"created": "Wed, 23 Jun 2021 19:04:03 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2021 13:06:38 GMT",
"version": "v2"
}
] | 2021-10-12 | [
[
"Guo",
"Shi-Fa",
""
],
[
"Lu",
"H.",
""
],
[
"Pang",
"Yi",
""
]
] | We consider both gauged and ungauged minimal supergravities in five dimensions and analyse the charged rotating solutions with two equal angular momenta $J$. When the electric charge $Q\sim J^{2/3}$ with some specific coefficient, we find new extremal black objects emerge that are asymptotic to either Minkowski or global AdS spacetimes and can be best described as degenerate black rings. Their near-horizon geometry is locally AdS$_3\times S^2$, where the periodic $U(1)$ fibre coordinate in $S^3$ untwists and collapses to be the degenerate part of the AdS$_3$ horizon. It turns out that there are two branches of extremal rotating black holes, starting as the extremal RN black holes of the same mass, but opposite charges. With the increasing of the angular momentum, they will join to become the same degenerate black ring, where the Gibbs free energies however are not continuous at the joining. For the same $Q(J)$ relation, we find that there is in addition a rotating soliton whose mass is smaller than the degenerate black ring. |
1102.0866 | Nele Vandersickel | N. Vandersickel, D. Dudal, S.P. Sorella | More evidence for a refined Gribov-Zwanziger action based on an
effective potential approach | Contribution for the workshop "The many faces of QCD", 1-5 Nov 2010,
Ghent, Belgium. 8 pages | PoS FacesQCD:044,2010 | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this proceeding is twofold. Firstly, we shall make the
refining of the Gribov-Zwanziger action more complete by taking into account
more condensates than considered so far. Secondly, we shall provide more
evidence for the refined Gribov-Zwanziger action based on an effective
potential approach.
| [
{
"created": "Fri, 4 Feb 2011 10:03:30 GMT",
"version": "v1"
}
] | 2011-09-06 | [
[
"Vandersickel",
"N.",
""
],
[
"Dudal",
"D.",
""
],
[
"Sorella",
"S. P.",
""
]
] | The purpose of this proceeding is twofold. Firstly, we shall make the refining of the Gribov-Zwanziger action more complete by taking into account more condensates than considered so far. Secondly, we shall provide more evidence for the refined Gribov-Zwanziger action based on an effective potential approach. |
1705.06675 | Antoine Van Proeyen | Bram Vanhecke and Antoine Van Proeyen | Covariant field equations in supergravity | 31 pages; v2: version to be published; extended introduction and
typos corrected | null | 10.1002/prop.201700071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Covariance is a useful property for handling supergravity theories. In this
paper, we prove a covariance property of supergravity field equations: under
reasonable conditions, field equations of supergravity are covariant modulo
other field equations. We prove that for any supergravity there exist such
covariant equations of motion, other than the regular equations of motion, that
are equivalent to the latter. The relations that we find between field
equations and their covariant form can be used to obtain multiplets of field
equations. In practice, the covariant field equations are easily found by
simply covariantizing the ordinary field equations.
| [
{
"created": "Thu, 18 May 2017 16:22:09 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Oct 2017 06:14:44 GMT",
"version": "v2"
}
] | 2018-02-14 | [
[
"Vanhecke",
"Bram",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | Covariance is a useful property for handling supergravity theories. In this paper, we prove a covariance property of supergravity field equations: under reasonable conditions, field equations of supergravity are covariant modulo other field equations. We prove that for any supergravity there exist such covariant equations of motion, other than the regular equations of motion, that are equivalent to the latter. The relations that we find between field equations and their covariant form can be used to obtain multiplets of field equations. In practice, the covariant field equations are easily found by simply covariantizing the ordinary field equations. |
hep-th/0306146 | R. A. W. Gregory | Ruth Gregory and Jeff Harvey | Spacetime decay of cones at strong coupling | 9 pages LaTeX (JHEP3), 2 figures, acknowledgements amended | Class.Quant.Grav. 20 (2003) L231-L238 | 10.1088/0264-9381/20/19/101 | DCPT-03/66, IPPP-03/33, EFI-03-28 | hep-th gr-qc | null | We study time dependent solutions in dilaton gravity which correspond to the
decay of conical spacetimes. In string theory this can be interpreted as a
strong coupling limit of the decay of a non-supersymmetric orbifold spacetime
with localized tachyons.
| [
{
"created": "Mon, 16 Jun 2003 14:01:53 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jun 2003 14:39:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gregory",
"Ruth",
""
],
[
"Harvey",
"Jeff",
""
]
] | We study time dependent solutions in dilaton gravity which correspond to the decay of conical spacetimes. In string theory this can be interpreted as a strong coupling limit of the decay of a non-supersymmetric orbifold spacetime with localized tachyons. |
1708.05606 | Yikun Jiang | Arpan Bhattacharyya, Ling-Yan Hung, Yikun Jiang | Null hypersurface quantization, electromagnetic duality and asymptotic
symmetries of Maxwell theory | 26 pages, typos corrected | JHEP 1803 (2018) 027 | 10.1007/JHEP03(2018)027 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider introducing careful regularization in the
quantization of Maxwell theory in the asymptotic null infinity. This allows
systematic discussions of the commutators in various boundary conditions, and
application of Dirac brackets accordingly in a controlled manner. This method
is most useful when we consider asymptotic charges that are not localized at
the boundary $u\to \pm \infty$ like large gauge transformations. We show that
our method reproduces the operator algebra in known cases, and it can be
applied to other space-time symmetry charges such as the BMS transformations.
We also obtain the asymptotic form of the U(1) charge following from the
electromagnetic duality in an explicitly EM symmetric Schwarz-Sen type action.
Using our regularization method, we demonstrate that the charge generates the
expected transformation of a helicity operator. Our method promises
applications in more generic theories.
| [
{
"created": "Fri, 18 Aug 2017 13:39:03 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jul 2018 18:41:17 GMT",
"version": "v2"
}
] | 2018-07-20 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Hung",
"Ling-Yan",
""
],
[
"Jiang",
"Yikun",
""
]
] | In this paper we consider introducing careful regularization in the quantization of Maxwell theory in the asymptotic null infinity. This allows systematic discussions of the commutators in various boundary conditions, and application of Dirac brackets accordingly in a controlled manner. This method is most useful when we consider asymptotic charges that are not localized at the boundary $u\to \pm \infty$ like large gauge transformations. We show that our method reproduces the operator algebra in known cases, and it can be applied to other space-time symmetry charges such as the BMS transformations. We also obtain the asymptotic form of the U(1) charge following from the electromagnetic duality in an explicitly EM symmetric Schwarz-Sen type action. Using our regularization method, we demonstrate that the charge generates the expected transformation of a helicity operator. Our method promises applications in more generic theories. |
1211.0019 | Daniel Park | Daniel S. Park and Jaewon Song | The Seiberg-Witten Kahler Potential as a Two-Sphere Partition Function | 12 pages + appendix; v2: minor corrections, reference added | null | 10.1007/JHEP01(2013)142 | UCSD-PTH-12-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently it has been shown that the two-sphere partition function of a gauged
linear sigma model of a Calabi-Yau manifold yields the exact quantum Kahler
potential of the Kahler moduli space of that manifold. Since four-dimensional
N=2 gauge theories can be engineered by non-compact Calabi-Yau threefolds, this
implies that it is possible to obtain exact gauge theory Kahler potentials from
two-sphere partition functions. In this paper, we demonstrate that the
Seiberg-Witten Kahler potential can indeed be obtained as a two-sphere
partition function. To be precise, we extract the quantum Kahler metric of 4D
N=2 SU(2) Super-Yang-Mills theory by taking the field theory limit of the
Kahler parameters of the O(-2,-2) bundle over P1 x P1. We expect this method of
computing the Kahler potential to generalize to other four-dimensional N=2
gauge theories that can be geometrically engineered by toric Calabi-Yau
threefolds.
| [
{
"created": "Wed, 31 Oct 2012 20:15:04 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Nov 2012 20:04:03 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Park",
"Daniel S.",
""
],
[
"Song",
"Jaewon",
""
]
] | Recently it has been shown that the two-sphere partition function of a gauged linear sigma model of a Calabi-Yau manifold yields the exact quantum Kahler potential of the Kahler moduli space of that manifold. Since four-dimensional N=2 gauge theories can be engineered by non-compact Calabi-Yau threefolds, this implies that it is possible to obtain exact gauge theory Kahler potentials from two-sphere partition functions. In this paper, we demonstrate that the Seiberg-Witten Kahler potential can indeed be obtained as a two-sphere partition function. To be precise, we extract the quantum Kahler metric of 4D N=2 SU(2) Super-Yang-Mills theory by taking the field theory limit of the Kahler parameters of the O(-2,-2) bundle over P1 x P1. We expect this method of computing the Kahler potential to generalize to other four-dimensional N=2 gauge theories that can be geometrically engineered by toric Calabi-Yau threefolds. |
2206.07924 | Xinan Zhou | Konstantinos C. Rigatos, Xinan Zhou | Yangian Symmetry in Holographic Correlators | 7 pages | null | 10.1103/PhysRevLett.129.101601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that an infinite class of Witten diagrams is invariant under a
Yangian symmetry. These diagrams are building blocks of holographic correlators
and are related by a web of differential recursion relations. We show that
Yangian invariance is equivalent to the consistency conditions of the recursion
relations.
| [
{
"created": "Thu, 16 Jun 2022 05:02:15 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Rigatos",
"Konstantinos C.",
""
],
[
"Zhou",
"Xinan",
""
]
] | We point out that an infinite class of Witten diagrams is invariant under a Yangian symmetry. These diagrams are building blocks of holographic correlators and are related by a web of differential recursion relations. We show that Yangian invariance is equivalent to the consistency conditions of the recursion relations. |
2012.09182 | Andrew Turner | Vijay Balasubramanian, Jonathan J. Heckman, Elliot Lipeles, and Andrew
P. Turner | Statistical coupling constants from hidden sector entanglement | 20 pages, 1 figure, LaTeX | Phys. Rev. D 103, 066024 (2021) | 10.1103/PhysRevD.103.066024 | null | hep-th hep-ex hep-ph | http://creativecommons.org/licenses/by/4.0/ | String theory predicts that the couplings of Nature descend from dynamical
fields. All known string-motivated particle physics models also come with a
wide range of possible extra sectors. It is common to posit that such moduli
are frozen to a background value, and that extra sectors can be nearly
completely decoupled. Performing a partial trace over all sectors other than
the visible sector generically puts the visible sector in a mixed state, with
coupling constants drawn from a quantum statistical ensemble. An observable
consequence of this entanglement between visible and extra sectors is that the
reported values of couplings will appear to have an irreducible variance.
Including this variance in fits to experimental data gives an important
additional parameter that can be used to distinguish this scenario from the
case where couplings are treated as fixed parameters. There is a consequent
interplay between energy range and precision of an experiment that allows an
extended reach for new physics.
| [
{
"created": "Wed, 16 Dec 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2020 18:53:21 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Mar 2021 15:58:33 GMT",
"version": "v3"
}
] | 2021-04-07 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Lipeles",
"Elliot",
""
],
[
"Turner",
"Andrew P.",
""
]
] | String theory predicts that the couplings of Nature descend from dynamical fields. All known string-motivated particle physics models also come with a wide range of possible extra sectors. It is common to posit that such moduli are frozen to a background value, and that extra sectors can be nearly completely decoupled. Performing a partial trace over all sectors other than the visible sector generically puts the visible sector in a mixed state, with coupling constants drawn from a quantum statistical ensemble. An observable consequence of this entanglement between visible and extra sectors is that the reported values of couplings will appear to have an irreducible variance. Including this variance in fits to experimental data gives an important additional parameter that can be used to distinguish this scenario from the case where couplings are treated as fixed parameters. There is a consequent interplay between energy range and precision of an experiment that allows an extended reach for new physics. |
1101.5156 | Florian Kuhnel | Yannis Burnier and Florian Kuhnel | Axion arising from warped extra-dimensional gauge fields | 4 pages, 2 figures; v2: minor changes to match published PRD version | Phys.Rev.D83:115002,2011 | 10.1103/PhysRevD.83.115002 | LMU-ASC 03/11 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a connection between two known solutions to the strong-CP problem:
the standard introduction of axions and the extra-dimensional one, relying on
topological arguments. Using an equivalent lower-dimensional set-up with a
warped extra-dimension but without adding any new fields, it is shown that an
additional light degree of freedom appears. Like an axion, it couples to the
topological charge density via Fermionic loop corrections. Its decay constant
is related to the geometry of the extra dimension and is suppressed by the
warping scale.
| [
{
"created": "Wed, 26 Jan 2011 21:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 28 May 2011 13:23:47 GMT",
"version": "v2"
}
] | 2011-06-13 | [
[
"Burnier",
"Yannis",
""
],
[
"Kuhnel",
"Florian",
""
]
] | We present a connection between two known solutions to the strong-CP problem: the standard introduction of axions and the extra-dimensional one, relying on topological arguments. Using an equivalent lower-dimensional set-up with a warped extra-dimension but without adding any new fields, it is shown that an additional light degree of freedom appears. Like an axion, it couples to the topological charge density via Fermionic loop corrections. Its decay constant is related to the geometry of the extra dimension and is suppressed by the warping scale. |
2205.01771 | \.Izzet Sakall{\i} | \.Izzet Sakall{\i} and Sara Kanzi | Topical Review: Greybody Factors and Quasinormal Modes for Black Holes
in Various Theories -- Fingerprints of Invisibles | Published in Turkish Journal of Physics. 69 pages. For original
article, please follow the link:
https://journals.tubitak.gov.tr/physics/issues/fiz-22-46-2/fiz-46-2-1-2203-15.pdf | Turk J Phys, 46, (2022), 51-103 | 10.55730/1300-0101.2691 | null | hep-th astro-ph.HE gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We give a pedagogical introduction to black holes (BHs) greybody factors
(GFs) and quasinormal modes (QNMs) and share the recent developments on those
subjects. In this study, our primary focus will be on the bosonic and fermionic
GFs and QNMs of various BH and brane geometries and reveal the fingerprints of
the invisibles with the radiation spectra to be obtained by the WKB
approximation and bounding the Bogoliubov coefficients (together with the
Miller-Good transformation) methods. (*Due to the notification of arXiv "The
Abstract field cannot be longer than 1,920 characters", the appeared Abstract
is shortened. For the full Abstract, please download the Article.)
| [
{
"created": "Tue, 3 May 2022 20:40:04 GMT",
"version": "v1"
}
] | 2022-05-24 | [
[
"Sakallı",
"İzzet",
""
],
[
"Kanzi",
"Sara",
""
]
] | We give a pedagogical introduction to black holes (BHs) greybody factors (GFs) and quasinormal modes (QNMs) and share the recent developments on those subjects. In this study, our primary focus will be on the bosonic and fermionic GFs and QNMs of various BH and brane geometries and reveal the fingerprints of the invisibles with the radiation spectra to be obtained by the WKB approximation and bounding the Bogoliubov coefficients (together with the Miller-Good transformation) methods. (*Due to the notification of arXiv "The Abstract field cannot be longer than 1,920 characters", the appeared Abstract is shortened. For the full Abstract, please download the Article.) |
0801.1542 | Robert Schabinger | Robert M. Schabinger (University of Washington, Seattle) | Scattering on the Moduli Space of N=4 Super Yang-Mills | 21 pages, 5 figures; in v2: fixed eq. (A.2); in v3: trivial typos
corrected in text | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory
away from the origin of the moduli space and demonstrate that the results are
extremely simple, in much the same way as in the conformally invariant theory.
Specifically, we consider the model where an SU(2) gauge group is spontaneously
broken down to U(1). The complete component Lagrange density of the model is
given in a form useful for perturbative calculations. We argue that the
scattering amplitudes with massive external states deserve further study.
Finally, our work shows that loop corrections can be readily computed in a
mass-regulated N=4 theory, which may be relevant in trying to connect
weak-coupling results with those at strong coupling, as discussed recently by
Alday and Maldacena.
| [
{
"created": "Thu, 10 Jan 2008 03:08:46 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Jan 2015 12:42:25 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Feb 2015 16:11:05 GMT",
"version": "v3"
}
] | 2015-02-23 | [
[
"Schabinger",
"Robert M.",
"",
"University of Washington, Seattle"
]
] | We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory away from the origin of the moduli space and demonstrate that the results are extremely simple, in much the same way as in the conformally invariant theory. Specifically, we consider the model where an SU(2) gauge group is spontaneously broken down to U(1). The complete component Lagrange density of the model is given in a form useful for perturbative calculations. We argue that the scattering amplitudes with massive external states deserve further study. Finally, our work shows that loop corrections can be readily computed in a mass-regulated N=4 theory, which may be relevant in trying to connect weak-coupling results with those at strong coupling, as discussed recently by Alday and Maldacena. |
hep-th/9611162 | Andrei Linde | Renata Kallosh | Bound States of Branes with Minimal Energy | 4 pages, latex. few misprints removed | Phys.Rev.D55:3241-3245,1997 | 10.1103/PhysRevD.55.3241 | SU-ITP-96-53 | hep-th gr-qc | null | It is pointed out that the energy of the bound states of D-branes and strings
is determined by the central charge of the space-time supersymmetry. The
universality which is seen at the black hole horizon appears also on the
D-brane side: the total energy of the bound states of a given number of branes
has a minimum when considered as a function of the independent parameters
(moduli). This provides a new evidence that the near-horizon space-time
geometry of the dilaton black holes can be represented by the bound states of
branes. The axion-dilaton dyonic black holes have the mass formula of the
non-threshold type bound state. Upon uplifting to higher dimensions they may
give information about such states.
| [
{
"created": "Thu, 21 Nov 1996 00:35:14 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Nov 1996 17:14:54 GMT",
"version": "v2"
}
] | 2010-01-06 | [
[
"Kallosh",
"Renata",
""
]
] | It is pointed out that the energy of the bound states of D-branes and strings is determined by the central charge of the space-time supersymmetry. The universality which is seen at the black hole horizon appears also on the D-brane side: the total energy of the bound states of a given number of branes has a minimum when considered as a function of the independent parameters (moduli). This provides a new evidence that the near-horizon space-time geometry of the dilaton black holes can be represented by the bound states of branes. The axion-dilaton dyonic black holes have the mass formula of the non-threshold type bound state. Upon uplifting to higher dimensions they may give information about such states. |
hep-th/9207087 | Marco Fabbrichesi | M. Fabbrichesi and R. Iengo | The Gravitational Field of String Matter When the Dilaton is Massive | 10 pages, preprint SISSA/ISAS 128-92-EP. (Latex File, figures not
included) | Phys.Lett. B292 (1992) 262-268 | 10.1016/0370-2693(92)91173-7 | null | hep-th | null | We study numerically the gravitational field of a star made of massive and
neutral string states for the case in which the dilaton is massive. The
solution exhibits very simple scaling properties in the dilaton mass. There is
no horizon and the singularity is surrounded by a halo (the physical size of
which is inversely proportional to the dilaton mass) where the scalar curvature
is very large and proportional to the square of the dilaton mass.
| [
{
"created": "Mon, 27 Jul 1992 13:51:19 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Fabbrichesi",
"M.",
""
],
[
"Iengo",
"R.",
""
]
] | We study numerically the gravitational field of a star made of massive and neutral string states for the case in which the dilaton is massive. The solution exhibits very simple scaling properties in the dilaton mass. There is no horizon and the singularity is surrounded by a halo (the physical size of which is inversely proportional to the dilaton mass) where the scalar curvature is very large and proportional to the square of the dilaton mass. |
hep-th/9110020 | null | Andrea Cappelli, Marcello Ciafaloni and Paolo Valtancoli | Classical Scattering in 2+1 Gravity with N Spinning Sources | 11 pages | Phys.Lett. B273 (1991) 431-437 | 10.1016/0370-2693(91)90294-Z | preprint Cern 6248/91 | hep-th | null | The classical dynamics of N spinning point sources in 2+1 Einstein-Cartan
gravity is considered. It corresponds to the ISO(2,1) Chern-Simons theory, in
which the torsion source is restricted to its intrinsic spin part. A class of
explicit solutions is found for the dreibein and the spin connection, which are
torsionless in the spinless limit. By using the residual local Poincare'
invariance of the solutions, we fix the gauge so that the metric is smooth
outside the particles and satisfies proper asymptotic conditions at space and
time infinity. We recover previous results for test bodies and find new ones
for the scattering of two dynamical particles in the massless limit.
| [
{
"created": "Mon, 7 Oct 1991 10:43:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cappelli",
"Andrea",
""
],
[
"Ciafaloni",
"Marcello",
""
],
[
"Valtancoli",
"Paolo",
""
]
] | The classical dynamics of N spinning point sources in 2+1 Einstein-Cartan gravity is considered. It corresponds to the ISO(2,1) Chern-Simons theory, in which the torsion source is restricted to its intrinsic spin part. A class of explicit solutions is found for the dreibein and the spin connection, which are torsionless in the spinless limit. By using the residual local Poincare' invariance of the solutions, we fix the gauge so that the metric is smooth outside the particles and satisfies proper asymptotic conditions at space and time infinity. We recover previous results for test bodies and find new ones for the scattering of two dynamical particles in the massless limit. |
1605.04712 | Thomas A. Ryttov | Claudio Pica, Thomas A. Ryttov and Francesco Sannino | Conformal Phase Diagram of Complete Asymptotically Free Theories | 28 pages, 5 figures | Phys. Rev. D 96, 074015 (2017) | 10.1103/PhysRevD.96.074015 | CP3-Origins-2016-025 DNRF90 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the ultraviolet and infrared fixed point structure of
gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and
scalar self coupling. Our investigations are performed using the two loop gauge
beta function, one loop Yukawa beta function and one loop scalar beta function.
We provide the general conditions that the beta function coefficients must
abide for the theory to be completely asymptotically free while simultaneously
possessing an infrared stable fixed point. We also uncover special trajectories
in coupling space along which some couplings are both asymptotically safe and
infrared conformal.
| [
{
"created": "Mon, 16 May 2016 10:21:48 GMT",
"version": "v1"
}
] | 2017-10-18 | [
[
"Pica",
"Claudio",
""
],
[
"Ryttov",
"Thomas A.",
""
],
[
"Sannino",
"Francesco",
""
]
] | We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be completely asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal. |
1012.3512 | Kazuo Hosomichi | Naofumi Hama, Kazuo Hosomichi and Sungjay Lee | Notes on SUSY Gauge Theories on Three-Sphere | 1+13 pages, (v3) one section added to present an integral formula for
the partition function of general gauge theory. The version published in JHEP | JHEP 1103:127,2011 | 10.1007/JHEP03(2011)127 | DAMTP-2010-129, YITP-10-100 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the formula for partition functions of N=2 superconformal gauge
theories on S^3 obtained recently by Kapustin, Willett and Yaakov, to
incorporate matter fields with arbitrary R-charge assignments. We use the
result to check that the self-mirror property of N=4 SQED with two electron
hypermultiplets is preserved under a certain mass deformation which breaks the
supersymmetry to N=2.
| [
{
"created": "Thu, 16 Dec 2010 04:45:17 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Feb 2011 10:19:15 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Mar 2011 19:38:47 GMT",
"version": "v3"
}
] | 2011-04-04 | [
[
"Hama",
"Naofumi",
""
],
[
"Hosomichi",
"Kazuo",
""
],
[
"Lee",
"Sungjay",
""
]
] | We extend the formula for partition functions of N=2 superconformal gauge theories on S^3 obtained recently by Kapustin, Willett and Yaakov, to incorporate matter fields with arbitrary R-charge assignments. We use the result to check that the self-mirror property of N=4 SQED with two electron hypermultiplets is preserved under a certain mass deformation which breaks the supersymmetry to N=2. |
0911.2386 | Yui Noma | Yui Noma | Coadjoint Orbits and Wilson Loops in Five Dimensional Topological Gauge
Theories | 16 pages, no figure. Revised because the first half of this paper was
a "reinventing the wheel" | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discussed one-point functions of BPS Wilson loops in supersymmetric five
dimensional gauge theories defined on M_4\times S^1 by using path integral
expression of Wilson loops. We found that the Wilson loop gives interaction
terms between charged particles and certain gauge fields on the instanton
moduli space, and makes the non-charged particle charged under the gauge
fields.
| [
{
"created": "Thu, 12 Nov 2009 13:32:55 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2009 15:48:28 GMT",
"version": "v2"
}
] | 2009-11-16 | [
[
"Noma",
"Yui",
""
]
] | We discussed one-point functions of BPS Wilson loops in supersymmetric five dimensional gauge theories defined on M_4\times S^1 by using path integral expression of Wilson loops. We found that the Wilson loop gives interaction terms between charged particles and certain gauge fields on the instanton moduli space, and makes the non-charged particle charged under the gauge fields. |
hep-th/0209020 | Jorgen Rasmussen | G. Flynn, J. Rasmussen, M. Tahic, M.A. Walton | Higher-genus su(N) fusion multiplicities as polytope volumes | 21 pages, LaTeX | J.Phys.A35:10129-10148,2002 | 10.1088/0305-4470/35/47/312 | null | hep-th | null | We show how higher-genus su(N) fusion multiplicities may be computed as the
discretized volumes of certain polytopes. The method is illustrated by explicit
analyses of some su(3) and su(4) fusions, but applies to all higher-point and
higher-genus su(N) fusions. It is based on an extension of the realm of
Berenstein-Zelevinsky triangles by including so-called gluing and loop-gluing
diagrams. The identification of the loop-gluing diagrams is our main new
result, since they enable us to characterize higher-genus fusions in terms of
polytopes. Also, the genus-2 0-point su(3) fusion multiplicity is found to be a
simple binomial coefficient in the affine level.
| [
{
"created": "Mon, 2 Sep 2002 15:59:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Flynn",
"G.",
""
],
[
"Rasmussen",
"J.",
""
],
[
"Tahic",
"M.",
""
],
[
"Walton",
"M. A.",
""
]
] | We show how higher-genus su(N) fusion multiplicities may be computed as the discretized volumes of certain polytopes. The method is illustrated by explicit analyses of some su(3) and su(4) fusions, but applies to all higher-point and higher-genus su(N) fusions. It is based on an extension of the realm of Berenstein-Zelevinsky triangles by including so-called gluing and loop-gluing diagrams. The identification of the loop-gluing diagrams is our main new result, since they enable us to characterize higher-genus fusions in terms of polytopes. Also, the genus-2 0-point su(3) fusion multiplicity is found to be a simple binomial coefficient in the affine level. |
hep-th/0511172 | Takehisa Fujita | Tomoko Asaga and Takehisa Fujita | No Area Law in QCD | 4 pages, no figure | null | null | null | hep-th | null | Wilson's area law in QCD is critically examined. It is shown that the
expectation value of the Wilson loop integral $ \exp(\int iA_\mu dx^\mu) $ in
the strong coupling limit vanishes when we employ the conjugate Wilson action
which has a proper QED action in the continuum limit. The finite value of
Wilson loop with the Wilson action is due to the result of the artifact. The
fact that his area law is obtained even for QED simply indicates that the area
law is unphysical.
| [
{
"created": "Thu, 17 Nov 2005 06:07:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Asaga",
"Tomoko",
""
],
[
"Fujita",
"Takehisa",
""
]
] | Wilson's area law in QCD is critically examined. It is shown that the expectation value of the Wilson loop integral $ \exp(\int iA_\mu dx^\mu) $ in the strong coupling limit vanishes when we employ the conjugate Wilson action which has a proper QED action in the continuum limit. The finite value of Wilson loop with the Wilson action is due to the result of the artifact. The fact that his area law is obtained even for QED simply indicates that the area law is unphysical. |
1904.13250 | Jialun Ping | Jing Zhou, Jialun Ping | Knot and Gauge Theory | 3 pages. arXiv admin note: text overlap with arXiv:1904.09892 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been argued based on electric-magnetic duality that the Jones
polynomial of a knot in three dimensions can be computed by counting the
solutions of certain gauge theory equations in four-dimension. And the Euler
characteristic of Khovanov homology is the Jones polynomial which corresponds
to the partition function of twisted $N=4$ super Yang-Mills theory. Moreover,
Lee-Yang type phase transition is found in the topological twisted super
Yang-Mills theory.
| [
{
"created": "Mon, 29 Apr 2019 14:39:47 GMT",
"version": "v1"
}
] | 2019-05-01 | [
[
"Zhou",
"Jing",
""
],
[
"Ping",
"Jialun",
""
]
] | It has been argued based on electric-magnetic duality that the Jones polynomial of a knot in three dimensions can be computed by counting the solutions of certain gauge theory equations in four-dimension. And the Euler characteristic of Khovanov homology is the Jones polynomial which corresponds to the partition function of twisted $N=4$ super Yang-Mills theory. Moreover, Lee-Yang type phase transition is found in the topological twisted super Yang-Mills theory. |
hep-th/9808037 | Esko Keski-Vakkuri | Esko Keski-Vakkuri (Caltech) | Bulk and Boundary Dynamics in BTZ Black Holes | 22 pages, LaTeX file. v2: references added. v3: some typo corrections
and minor clarifications | Phys. Rev. D 59, 104001 (1999) | 10.1103/PhysRevD.59.104001 | CALT-68-2191 | hep-th | null | Recently, the AdS/CFT conjecture of Maldacena has been investigated in
Lorentzian signature by Balasubramanian et. al. We extend this investigation to
Lorentzian BTZ black hole spacetimes, and study the bulk and boundary behaviour
of massive scalar fields both in the non-extremal and extremal case. Using the
bulk-boundary correspondence, we also evaluate the two-point correlator of
operators coupling to the scalar field at the boundary of the spacetime, and
find that it satisfies thermal periodic boundary conditions relevant to the
Hawking temperature of the BTZ black hole.
| [
{
"created": "Thu, 6 Aug 1998 21:44:51 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 1998 00:07:03 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Sep 1998 16:00:36 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Keski-Vakkuri",
"Esko",
"",
"Caltech"
]
] | Recently, the AdS/CFT conjecture of Maldacena has been investigated in Lorentzian signature by Balasubramanian et. al. We extend this investigation to Lorentzian BTZ black hole spacetimes, and study the bulk and boundary behaviour of massive scalar fields both in the non-extremal and extremal case. Using the bulk-boundary correspondence, we also evaluate the two-point correlator of operators coupling to the scalar field at the boundary of the spacetime, and find that it satisfies thermal periodic boundary conditions relevant to the Hawking temperature of the BTZ black hole. |
1605.06346 | Gregory Korchemsky | Luis F. Alday, Gregory P. Korchemsky | Revisiting instanton corrections to the Konishi multiplet | 25 pages; v2: minor changes, typos corrected | null | 10.1007/JHEP12(2016)005 | IPhT-T16/036 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the calculation of instanton effects in correlation functions in
${\cal N}=4$ SYM involving the Konishi operator and operators of twist two.
Previous studies revealed that the scaling dimensions and the OPE coefficients
of these operators do not receive instanton corrections in the semiclassical
approximation. We go beyond this approximation and demonstrate that, while
operators belonging to the same ${\cal N}=4$ supermultiplet ought to have the
same conformal data, the evaluation of quantum instanton corrections for one
operator can be mapped into a semiclassical computation for another operator in
the same supermultiplet. This observation allows us to compute explicitly the
leading instanton correction to the scaling dimension of operators in the
Konishi supermultiplet as well as to their structure constants in the OPE of
two half-BPS scalar operators. We then use these results, together with
crossing symmetry, to determine instanton corrections to scaling dimensions of
twist-four operators with large spin.
| [
{
"created": "Fri, 20 May 2016 13:26:03 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2016 05:29:55 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Alday",
"Luis F.",
""
],
[
"Korchemsky",
"Gregory P.",
""
]
] | We revisit the calculation of instanton effects in correlation functions in ${\cal N}=4$ SYM involving the Konishi operator and operators of twist two. Previous studies revealed that the scaling dimensions and the OPE coefficients of these operators do not receive instanton corrections in the semiclassical approximation. We go beyond this approximation and demonstrate that, while operators belonging to the same ${\cal N}=4$ supermultiplet ought to have the same conformal data, the evaluation of quantum instanton corrections for one operator can be mapped into a semiclassical computation for another operator in the same supermultiplet. This observation allows us to compute explicitly the leading instanton correction to the scaling dimension of operators in the Konishi supermultiplet as well as to their structure constants in the OPE of two half-BPS scalar operators. We then use these results, together with crossing symmetry, to determine instanton corrections to scaling dimensions of twist-four operators with large spin. |
0907.5144 | Ahmad Sheykhi | Ahmad Sheykhi | Interacting agegraphic dark energy models in non-flat universe | 6 pages, references added | Phys.Lett.B680:113-117,2009 | 10.1016/j.physletb.2009.08.051 | null | hep-th | http://creativecommons.org/licenses/by/3.0/ | A so-called "agegraphic dark energy" was recently proposed to explain the
dark energy-dominated universe. In this Letter, we generalize the agegraphic
dark energy models to the universe with spatial curvature in the presence of
interaction between dark matter and dark energy. We show that these models can
accommodate $w_D = -1 $ crossing for the equation of state of dark energy. In
the limiting case of a flat universe, i.e. $k = 0$, all previous results of
agegraphic dark energy in flat universe are restored.
| [
{
"created": "Wed, 29 Jul 2009 14:33:39 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Aug 2009 03:53:05 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Aug 2009 05:23:24 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Sep 2009 05:42:06 GMT",
"version": "v4"
}
] | 2009-10-16 | [
[
"Sheykhi",
"Ahmad",
""
]
] | A so-called "agegraphic dark energy" was recently proposed to explain the dark energy-dominated universe. In this Letter, we generalize the agegraphic dark energy models to the universe with spatial curvature in the presence of interaction between dark matter and dark energy. We show that these models can accommodate $w_D = -1 $ crossing for the equation of state of dark energy. In the limiting case of a flat universe, i.e. $k = 0$, all previous results of agegraphic dark energy in flat universe are restored. |
0902.2289 | Sergey Slizovskiy | Antti J. Niemi and Sergey Slizovskiy | On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills
Theory | 4 pages | J. Phys. A: Math. Theor. 42 (2009) 322001 | 10.1088/1751-8113/42/32/322001 | UUITP-05/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Previously it has been shown that in spin-charge separated SU(2) Yang-Mills
theory Lorentz invariance can become broken by a one-cocycle that appears in
the Lorentz boosts. Here we study in detail the structure of this one-cocycle.
In particular we show that its non-triviality relates to the presence of a
(Dirac) magnetic monopole bundle. We also explicitely present the finite
version of the cocycle.
| [
{
"created": "Fri, 13 Feb 2009 10:10:16 GMT",
"version": "v1"
}
] | 2009-11-28 | [
[
"Niemi",
"Antti J.",
""
],
[
"Slizovskiy",
"Sergey",
""
]
] | Previously it has been shown that in spin-charge separated SU(2) Yang-Mills theory Lorentz invariance can become broken by a one-cocycle that appears in the Lorentz boosts. Here we study in detail the structure of this one-cocycle. In particular we show that its non-triviality relates to the presence of a (Dirac) magnetic monopole bundle. We also explicitely present the finite version of the cocycle. |
hep-th/0403102 | Xiao-Hui Wang | Hui Deng, Bo-Yu Hou, Kang-Jie Shi, Zhan-Ying Yang, Rui-Hong Yue | The manifest covariant soliton solutions on noncommutative orbifold
$T^{2}/Z_{6}$ and $T^{2}/Z_{3}$ | 33 pages, no figures | Rev.Math.Phys. 18 (2006) 255-284 | null | null | hep-th | null | In this paper, we construct a closed form of projectors on the integral
noncommutative orbifold $T^2/Z_6$ in terms of elliptic functions by $GHS$
construction. After that, we give a general solution of projectors on $%
T^{2}/Z_{6}$ and $T^{2}/Z_{3}$ with minimal trace and continuous reduced matrix
$M(k,q_{0})$.The projectors constructed by us possess symmetry and manifest
covariant forms under $Z_{6}$ rotation. Since projectors correspond to the
soliton solutions of field theory on the noncommutative orbifold, we thus
present a series of corresponding manifest covariant soliton solutions.
| [
{
"created": "Tue, 9 Mar 2004 14:38:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Deng",
"Hui",
""
],
[
"Hou",
"Bo-Yu",
""
],
[
"Shi",
"Kang-Jie",
""
],
[
"Yang",
"Zhan-Ying",
""
],
[
"Yue",
"Rui-Hong",
""
]
] | In this paper, we construct a closed form of projectors on the integral noncommutative orbifold $T^2/Z_6$ in terms of elliptic functions by $GHS$ construction. After that, we give a general solution of projectors on $% T^{2}/Z_{6}$ and $T^{2}/Z_{3}$ with minimal trace and continuous reduced matrix $M(k,q_{0})$.The projectors constructed by us possess symmetry and manifest covariant forms under $Z_{6}$ rotation. Since projectors correspond to the soliton solutions of field theory on the noncommutative orbifold, we thus present a series of corresponding manifest covariant soliton solutions. |
1404.5579 | Parikshit Dutta | Parikshit Dutta | Schwinger-Dyson approach to Liouville Field Theory | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss Liouville field theory in the framework of Schwinger-Dyson
approach and derive a functional equation for the three-point structure
constant. We argue the existence of a second Schwinger-Dyson equation on the
basis of the duality between the screening charge operators and obtain a second
functional equation for the structure constant. We discuss the utility of the
two functional equations to fix the structure constant uniquely.
| [
{
"created": "Tue, 22 Apr 2014 18:12:15 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jan 2015 09:02:34 GMT",
"version": "v2"
}
] | 2015-01-20 | [
[
"Dutta",
"Parikshit",
""
]
] | We discuss Liouville field theory in the framework of Schwinger-Dyson approach and derive a functional equation for the three-point structure constant. We argue the existence of a second Schwinger-Dyson equation on the basis of the duality between the screening charge operators and obtain a second functional equation for the structure constant. We discuss the utility of the two functional equations to fix the structure constant uniquely. |
1703.02948 | Yago Bea Besada | Maximilian Attems, Yago Bea, Jorge Casalderrey-Solana, David Mateos,
Miquel Triana and Miguel Zilhao | Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics | 11 pages, 6 figures. Matches published version in JHEP | JHEP 1706 (2017) 129 | 10.1007/JHEP06(2017)129 | ICCUB-17-007 | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to study the spinodal instability of a four-dimensional,
strongly-coupled gauge theory with a first-order thermal phase transition. We
place the theory on a cylinder in a set of homogeneous, unstable initial
states. The dual gravity configurations are black branes afflicted by a
Gregory-Laflamme instability. We numerically evolve Einstein's equations to
follow the instability until the system settles down to a stationary,
inhomogeneous black brane. The dual gauge theory states have constant
temperature but non-constant energy density. We show that the time evolution of
the instability and the final states are accurately described by second-order
hydrodynamics. In the static limit, the latter reduces to a single,
second-order, non-linear differential equation from which the inhomogeneous
final states can be derived.
| [
{
"created": "Wed, 8 Mar 2017 18:08:52 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jul 2017 15:28:02 GMT",
"version": "v2"
}
] | 2017-07-05 | [
[
"Attems",
"Maximilian",
""
],
[
"Bea",
"Yago",
""
],
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Mateos",
"David",
""
],
[
"Triana",
"Miquel",
""
],
[
"Zilhao",
"Miguel",
""
]
] | We use holography to study the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order thermal phase transition. We place the theory on a cylinder in a set of homogeneous, unstable initial states. The dual gravity configurations are black branes afflicted by a Gregory-Laflamme instability. We numerically evolve Einstein's equations to follow the instability until the system settles down to a stationary, inhomogeneous black brane. The dual gauge theory states have constant temperature but non-constant energy density. We show that the time evolution of the instability and the final states are accurately described by second-order hydrodynamics. In the static limit, the latter reduces to a single, second-order, non-linear differential equation from which the inhomogeneous final states can be derived. |
hep-th/0307010 | Fernando T. C. Brandt | F. T. Brandt, Ashok Das and J. Frenkel | Transport equation for the photon Wigner operator in non-commutative QED | 13 pages, twocolumn revtex4 style | Phys.Rev.D68:085010,2003 | 10.1103/PhysRevD.68.085010 | null | hep-th | null | We derive an exact quantum equation of motion for the photon Wigner operator
in non-commutative QED, which is gauge covariant. In the classical
approximation, this reduces to a simple transport equation which describes the
hard thermal effects in this theory. As an example of the effectiveness of this
method we show that, to leading order, this equation generates in a direct way
the Green amplitudes calculated perturbatively in quantum field theory at high
temperature.
| [
{
"created": "Tue, 1 Jul 2003 14:21:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | We derive an exact quantum equation of motion for the photon Wigner operator in non-commutative QED, which is gauge covariant. In the classical approximation, this reduces to a simple transport equation which describes the hard thermal effects in this theory. As an example of the effectiveness of this method we show that, to leading order, this equation generates in a direct way the Green amplitudes calculated perturbatively in quantum field theory at high temperature. |
1004.3137 | Klaus Sibold | Klaus Sibold and Gautier Solard | Conjugate variables in quantum field theory: the basic case | 22 pages | Phys.Rev.D80:124041,2009 | 10.1103/PhysRevD.80.124041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within standard quantum field theory of one scalar field we define operators
conjugate to the energy-momentum operators of the theory. They are singled out
by calculational simplicity in Fock space. In terms of the underlying scalar
field they are non-local. We establish their algebra where it turns out that
time and space operators do not commute. Their transformation properties with
respect to the conformal group are derived. Solving their eigenvalue problem
permits to reconstruct the Fock space in terms of the eigenstates. It is
indicated how Paulis theorem may be circumvented. As an application we form the
analogue of S-matrices which yields information on the structure of the
underlying spacetime. Similarly we define fields and look at their equations of
motion.
| [
{
"created": "Mon, 19 Apr 2010 09:33:48 GMT",
"version": "v1"
}
] | 2010-04-23 | [
[
"Sibold",
"Klaus",
""
],
[
"Solard",
"Gautier",
""
]
] | Within standard quantum field theory of one scalar field we define operators conjugate to the energy-momentum operators of the theory. They are singled out by calculational simplicity in Fock space. In terms of the underlying scalar field they are non-local. We establish their algebra where it turns out that time and space operators do not commute. Their transformation properties with respect to the conformal group are derived. Solving their eigenvalue problem permits to reconstruct the Fock space in terms of the eigenstates. It is indicated how Paulis theorem may be circumvented. As an application we form the analogue of S-matrices which yields information on the structure of the underlying spacetime. Similarly we define fields and look at their equations of motion. |
hep-th/9205006 | Jeff Greensite | J. Greensite | Stabilized Quantum Gravity: Stochastic Interpretation and Numerical
Simulation | 22 pages, 3 figures (now included as a postscript file) | Nucl.Phys. B390 (1993) 439-462 | 10.1016/0550-3213(93)90463-Y | SFSU-TH-92/1 | hep-th hep-lat | null | Following the reasoning of Claudson and Halpern, it is shown that
"fifth-time" stabilized quantum gravity is equivalent to Langevin evolution
(i.e. stochastic quantization) between fixed non-singular, but otherwise
arbitrary, initial and final states. The simple restriction to a fixed final
state at $t_5 \rightarrow \infty$ is sufficient to stabilize the theory. This
equivalence fixes the integration measure, and suggests a particular
operator-ordering, for the fifth-time action of quantum gravity. Results of a
numerical simulation of stabilized, latticized Einstein-Cartan theory on some
small lattices are reported. In the range of cosmological constant $\l$
investigated, it is found that: 1) the system is always in the broken phase
$<det(e)> \ne 0$; and 2) the negative free energy is large, possibly singular,
in the vincinity of $\l = 0$. The second finding may be relevant to the
cosmological constant problem.
| [
{
"created": "Mon, 4 May 1992 19:49:37 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 1992 15:29:48 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Greensite",
"J.",
""
]
] | Following the reasoning of Claudson and Halpern, it is shown that "fifth-time" stabilized quantum gravity is equivalent to Langevin evolution (i.e. stochastic quantization) between fixed non-singular, but otherwise arbitrary, initial and final states. The simple restriction to a fixed final state at $t_5 \rightarrow \infty$ is sufficient to stabilize the theory. This equivalence fixes the integration measure, and suggests a particular operator-ordering, for the fifth-time action of quantum gravity. Results of a numerical simulation of stabilized, latticized Einstein-Cartan theory on some small lattices are reported. In the range of cosmological constant $\l$ investigated, it is found that: 1) the system is always in the broken phase $<det(e)> \ne 0$; and 2) the negative free energy is large, possibly singular, in the vincinity of $\l = 0$. The second finding may be relevant to the cosmological constant problem. |
1901.11480 | Wei-Ming Chen | Wei-Ming Chen, Yu-tin Huang, Toshifumi Noumi, Congkao Wen | Unitarity bounds on charged/neutral state mass ratio | 5+2 pages, 2+2 figures | Phys. Rev. D 100, 025016 (2019) | 10.1103/PhysRevD.100.025016 | null | hep-th gr-qc hep-ex hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter, we study the implications of unitary completion of quantum
gravity on the low energy spectrums, through an infinite set of unitarity
bounds on the forward-limit scattering amplitudes. In three dimensions, we find
that light states with charge-to-mass ratio $z$ greater than $1$ can only be
consistent if there exists other light states, preferably neutral. Applied to
the compactification of the Standard Model, where the low energy couplings are
dominated by the electron with $|z|\sim 10^{22}$, this provides a novel
understanding of the need for light neutrinos.
| [
{
"created": "Thu, 31 Jan 2019 17:15:31 GMT",
"version": "v1"
}
] | 2019-07-31 | [
[
"Chen",
"Wei-Ming",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Noumi",
"Toshifumi",
""
],
[
"Wen",
"Congkao",
""
]
] | In this letter, we study the implications of unitary completion of quantum gravity on the low energy spectrums, through an infinite set of unitarity bounds on the forward-limit scattering amplitudes. In three dimensions, we find that light states with charge-to-mass ratio $z$ greater than $1$ can only be consistent if there exists other light states, preferably neutral. Applied to the compactification of the Standard Model, where the low energy couplings are dominated by the electron with $|z|\sim 10^{22}$, this provides a novel understanding of the need for light neutrinos. |
hep-th/0009054 | Jean-Pierre Derendinger | Jean-Pierre Derendinger and Roger Sauser | A Five-brane Modulus in the Effective N=1 Supergravity of M-Theory | 34 pages, LaTeX | Nucl.Phys. B598 (2001) 87-114 | 10.1016/S0550-3213(00)00773-2 | NEIP-00-017 | hep-th | null | Five-branes lead in four dimensions to massless N=1 supermultiplets if
M-theory is compactified on S1/Z2 x (a Calabi-Yau threefold). One of them
describes the modulus associated with the position of the five-brane along the
circle S1. We derive the effective four-dimensional supergravity of this
multiplet and its coupling to bulk moduli and to Yang-Mills and charged matter
multiplets located on Z2 fixed planes. The dynamics of the five-brane modes is
obtained by reduction and supersymmetrization of the covariant five-brane
bosonic action. Our construction respects all symmetries of M-theory, including
the self-duality of the brane antisymmetric tensor. Corrections to gauge
couplings are strongly constrained by this self-duality property. The brane
contribution to the effective scalar potential is formally similar to a
renormalization of the dilaton. The vacuum structure is not modified.
Altogether, the impact of the five-brane modulus on the effective supergravity
is reminiscent of string one-loop corrections produced by standard
compactification moduli.
| [
{
"created": "Fri, 8 Sep 2000 09:52:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Derendinger",
"Jean-Pierre",
""
],
[
"Sauser",
"Roger",
""
]
] | Five-branes lead in four dimensions to massless N=1 supermultiplets if M-theory is compactified on S1/Z2 x (a Calabi-Yau threefold). One of them describes the modulus associated with the position of the five-brane along the circle S1. We derive the effective four-dimensional supergravity of this multiplet and its coupling to bulk moduli and to Yang-Mills and charged matter multiplets located on Z2 fixed planes. The dynamics of the five-brane modes is obtained by reduction and supersymmetrization of the covariant five-brane bosonic action. Our construction respects all symmetries of M-theory, including the self-duality of the brane antisymmetric tensor. Corrections to gauge couplings are strongly constrained by this self-duality property. The brane contribution to the effective scalar potential is formally similar to a renormalization of the dilaton. The vacuum structure is not modified. Altogether, the impact of the five-brane modulus on the effective supergravity is reminiscent of string one-loop corrections produced by standard compactification moduli. |
1701.00051 | Masafumi Shimojo | Masafumi Shimojo, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa
and Hikaru Sato | Supergravity on the noncommutative geometry | to be published in "Progress of Theoretical and Experimental Physics" | Prog Theor Exp Phys (2017) | 10.1093/ptep/ptx002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two years ago, we found the supersymmetric counterpart of the spectral triple
which specified noncommutative geometry. Based on the triple, we derived gauge
vector supermultiplets, Higgs supermultiplets of the minimum supersymmetric
standard model and its action. However, unlike the famous theories of Connes
and his co-workers, the action does not couple to gravity. In this paper, we
obtain the supersymmetric Dirac operator $\mathcal{D}_M^{(SG)}$ on the
Riemann-Cartan curved space replacing derivatives which appear in that of the
triple with the covariant derivatives of general coordinate transformation. We
apply the supersymmetric version of the spectral action principle and
investigate the heat kernel expansion on the square of the Dirac operator. As a
result, we obtain a new supergravity action which does not include the Ricci
curvature tensor.
| [
{
"created": "Sat, 31 Dec 2016 02:00:26 GMT",
"version": "v1"
}
] | 2019-12-06 | [
[
"Shimojo",
"Masafumi",
""
],
[
"Ishihara",
"Satoshi",
""
],
[
"Kataoka",
"Hironobu",
""
],
[
"Matsukawa",
"Atsuko",
""
],
[
"Sato",
"Hikaru",
""
]
] | Two years ago, we found the supersymmetric counterpart of the spectral triple which specified noncommutative geometry. Based on the triple, we derived gauge vector supermultiplets, Higgs supermultiplets of the minimum supersymmetric standard model and its action. However, unlike the famous theories of Connes and his co-workers, the action does not couple to gravity. In this paper, we obtain the supersymmetric Dirac operator $\mathcal{D}_M^{(SG)}$ on the Riemann-Cartan curved space replacing derivatives which appear in that of the triple with the covariant derivatives of general coordinate transformation. We apply the supersymmetric version of the spectral action principle and investigate the heat kernel expansion on the square of the Dirac operator. As a result, we obtain a new supergravity action which does not include the Ricci curvature tensor. |
2312.12497 | Coenraad Marinissen | Coenraad Marinissen, Alexander van Spaendonck and Marcel Vonk | Resurgence of large order relations | 41 pages and 3 appendices. v2: corrected typos and updated figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | One of the main applications of resurgence in physics is the decoding of
nonperturbative effects through large order relations. These relations connect
perturbative asymptotic expansions of observables to expansions around other
saddle points. Together, this data is unified in transseries that describe the
nonperturbative structure. It is known that large order relations themselves
also take the form of transseries. We study these large order transseries,
uncover an interesting underlying geometry that we call the `Borel cylinder',
and show that large order transseries in turn are resurgent -- that is: their
nonperturbative sectors `know about each other' through Borel residues that are
essentially equal to those of the original transseries. We show that with an
appropriate resummation prescription, large order relations are often exact:
they can be used to exactly compute perturbative coefficients -- not just their
large order growth. Finally, we argue that Stokes phenomenon plays an important
role for large order relations, for example if we want to extend the discrete
index of the perturbative coefficients to arbitrary complex values.
| [
{
"created": "Tue, 19 Dec 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2024 18:44:26 GMT",
"version": "v2"
}
] | 2024-03-13 | [
[
"Marinissen",
"Coenraad",
""
],
[
"van Spaendonck",
"Alexander",
""
],
[
"Vonk",
"Marcel",
""
]
] | One of the main applications of resurgence in physics is the decoding of nonperturbative effects through large order relations. These relations connect perturbative asymptotic expansions of observables to expansions around other saddle points. Together, this data is unified in transseries that describe the nonperturbative structure. It is known that large order relations themselves also take the form of transseries. We study these large order transseries, uncover an interesting underlying geometry that we call the `Borel cylinder', and show that large order transseries in turn are resurgent -- that is: their nonperturbative sectors `know about each other' through Borel residues that are essentially equal to those of the original transseries. We show that with an appropriate resummation prescription, large order relations are often exact: they can be used to exactly compute perturbative coefficients -- not just their large order growth. Finally, we argue that Stokes phenomenon plays an important role for large order relations, for example if we want to extend the discrete index of the perturbative coefficients to arbitrary complex values. |
hep-th/0305133 | Wolfgang Lerche | Ilka Brunner, Manfred Herbst, Wolfgang Lerche, Bernhard Scheuner | Landau-Ginzburg Realization of Open String TFT | Latex, 29p, 1 fig, refs added, various minor corrections, example
section dropped | JHEP0611:043,2006 | 10.1088/1126-6708/2006/11/043 | CERN-TH/2003-108 | hep-th | null | We investigate B-type topological Landau-Ginzburg theory with one variable,
with D2-brane boundary conditions. We find that the allowed brane
configurations are determined in terms of the possible factorizations of the
superpotential, and compute the corresponding open string chiral rings. These
are characterized by bosonic and fermionic generators that satisfy certain
relations. Moreover we show that the disk correlators, being continuous
functions of deformation parameters, satisfy the topological sewing
constraints, thereby proving consistency of the theory. In addition we show
that the open string LG model is, in its content, equivalent to a certain
triangulated category introduced by Kontsevich, and thus may be viewed as a
concrete physical realization of it.
| [
{
"created": "Thu, 15 May 2003 19:57:31 GMT",
"version": "v1"
},
{
"created": "Thu, 15 May 2003 20:37:47 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Jun 2003 21:48:05 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Brunner",
"Ilka",
""
],
[
"Herbst",
"Manfred",
""
],
[
"Lerche",
"Wolfgang",
""
],
[
"Scheuner",
"Bernhard",
""
]
] | We investigate B-type topological Landau-Ginzburg theory with one variable, with D2-brane boundary conditions. We find that the allowed brane configurations are determined in terms of the possible factorizations of the superpotential, and compute the corresponding open string chiral rings. These are characterized by bosonic and fermionic generators that satisfy certain relations. Moreover we show that the disk correlators, being continuous functions of deformation parameters, satisfy the topological sewing constraints, thereby proving consistency of the theory. In addition we show that the open string LG model is, in its content, equivalent to a certain triangulated category introduced by Kontsevich, and thus may be viewed as a concrete physical realization of it. |
hep-th/9206105 | Stephen P. Braham | Stephen P. Braham | Generalized embedding variables for geometrodynamics and spacetime
diffeomorphisms: Ultralocal coordinate conditions | 16 pages | J.Math.Phys. 34 (1993) 115-129 | 10.1063/1.530393 | UBCTP-92-016 | hep-th gr-qc | null | We investigate the embedding variable approach to geometrodynamics advocated
in work by Isham, Kucha\v{r} and Unruh for a general class of coordinate
conditions that mirror the Isham-Kucha\v{r} Gaussian condition but allow for
arbitrary algebraic complexity. We find that the same essential structure
present in the ultralocal Gaussian condition is repeated in the general case.
The resultant embedding--extended phase space contains a full representation of
the Lie algebra of the spacetime diffeomorphism group as well as a consistent
pure gravity sector.
| [
{
"created": "Fri, 26 Jun 1992 23:38:54 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Braham",
"Stephen P.",
""
]
] | We investigate the embedding variable approach to geometrodynamics advocated in work by Isham, Kucha\v{r} and Unruh for a general class of coordinate conditions that mirror the Isham-Kucha\v{r} Gaussian condition but allow for arbitrary algebraic complexity. We find that the same essential structure present in the ultralocal Gaussian condition is repeated in the general case. The resultant embedding--extended phase space contains a full representation of the Lie algebra of the spacetime diffeomorphism group as well as a consistent pure gravity sector. |
hep-th/0108230 | Gary Shiu | Jens Erler and Gary Shiu | On Type II Superstrings in Less Than Four Dimensions | 10 pages | Phys.Lett. B521 (2001) 114-118 | 10.1016/S0370-2693(01)01188-1 | UPR-951-T | hep-th hep-ph | null | We study gauge theories which are associated with classical vacua of
perturbative Type II string theory that allows for a conformal field theory
description. We show that even if we compactify seven spatial dimensions
(allowing for one macroscopic dimension to arise non-perturbatively) the
Standard Model cannot be obtained from the perturbative sector of Type II
superstrings. Therefore, the construction of the Standard Model (or extensions
thereof) from M theory must involve fields that are non-perturbative from the
Type II perspective. We also address the case of eight compact dimensions.
| [
{
"created": "Thu, 30 Aug 2001 23:51:29 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Erler",
"Jens",
""
],
[
"Shiu",
"Gary",
""
]
] | We study gauge theories which are associated with classical vacua of perturbative Type II string theory that allows for a conformal field theory description. We show that even if we compactify seven spatial dimensions (allowing for one macroscopic dimension to arise non-perturbatively) the Standard Model cannot be obtained from the perturbative sector of Type II superstrings. Therefore, the construction of the Standard Model (or extensions thereof) from M theory must involve fields that are non-perturbative from the Type II perspective. We also address the case of eight compact dimensions. |
2405.12233 | Brendon Matusch | Brendon Matusch | Anthropic Selection for a Low-Entropy Past | 6 pages, 0 figures | null | null | null | hep-th astro-ph.CO cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The definition of thermodynamic entropy is dependent on one's assignment of
physical microstates to observed macrostates. As a result, low entropy in the
distant past could be equivalently explained by selection of a particular
observer. In this paper, I make the case that because we observe a low-entropy
past everywhere even as we look further and further away, anthropic selection
over observers does not explain the non-equilibrium state of the observed
cosmos. Under a uniform prior over possible world states, the probability of a
non-equilibrium past, given our local observations, decreases to zero as the
size of the world tends toward infinity. This claim is not dependent on choice
of observer, unless the amount of information used to encode the observer's
coarse-graining perception function scales linearly with the size of the world.
As a result, for anthropic selection to choose a world like the one we live in,
the initial state of a universe with size $N$ must be low-information, having
Kolmogorov complexity that does not scale with $N$.
| [
{
"created": "Mon, 13 May 2024 20:10:05 GMT",
"version": "v1"
}
] | 2024-05-22 | [
[
"Matusch",
"Brendon",
""
]
] | The definition of thermodynamic entropy is dependent on one's assignment of physical microstates to observed macrostates. As a result, low entropy in the distant past could be equivalently explained by selection of a particular observer. In this paper, I make the case that because we observe a low-entropy past everywhere even as we look further and further away, anthropic selection over observers does not explain the non-equilibrium state of the observed cosmos. Under a uniform prior over possible world states, the probability of a non-equilibrium past, given our local observations, decreases to zero as the size of the world tends toward infinity. This claim is not dependent on choice of observer, unless the amount of information used to encode the observer's coarse-graining perception function scales linearly with the size of the world. As a result, for anthropic selection to choose a world like the one we live in, the initial state of a universe with size $N$ must be low-information, having Kolmogorov complexity that does not scale with $N$. |
1606.05274 | Andrei Mironov | G. Aminov, A. Mironov and A. Morozov | New non-linear equations and modular form expansion for double-elliptic
Seiberg-Witten prepotential | 25 pages | The European Physical Journal C, 76(8) (2016) 1-19 | 10.1140/epjc/s10052-016-4267-6 | FIAN/TD-14/16; IITP/TH-11/16; ITEP/TH-14/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Integrable N-particle systems have an important property that the associated
Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not
apply to the most interesting class of elliptic and double-elliptic systems.
Studying the commutativity conjecture for theta-functions on the families of
associated spectral curves, we derive some other non-linear equations for the
perturbative Seiberg-Witten prepotential, which turn out to have exactly the
double-elliptic system as their generic solution. In contrast with the WDVV
equations, the new equations acquire non-perturbative corrections which are
straightforwardly deducible from the commutativity conditions. We obtain such
corrections in the first non-trivial case of N=3 and describe the structure of
non-perturbative solutions as expansions in powers of the flat moduli with
coefficients that are (quasi)modular forms of the elliptic parameter.
| [
{
"created": "Thu, 16 Jun 2016 17:13:12 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jun 2016 12:15:18 GMT",
"version": "v2"
}
] | 2016-08-09 | [
[
"Aminov",
"G.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | Integrable N-particle systems have an important property that the associated Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not apply to the most interesting class of elliptic and double-elliptic systems. Studying the commutativity conjecture for theta-functions on the families of associated spectral curves, we derive some other non-linear equations for the perturbative Seiberg-Witten prepotential, which turn out to have exactly the double-elliptic system as their generic solution. In contrast with the WDVV equations, the new equations acquire non-perturbative corrections which are straightforwardly deducible from the commutativity conditions. We obtain such corrections in the first non-trivial case of N=3 and describe the structure of non-perturbative solutions as expansions in powers of the flat moduli with coefficients that are (quasi)modular forms of the elliptic parameter. |
1912.02791 | Christoph Roupec | Niccol\`o Cribiori, Renata Kallosh, Andrei Linde, Christoph Roupec | de Sitter Minima from M theory and String theory | 7 pages, 8 tables, v2: minor corrections and additions, v3:
clarifications, published version | Phys. Rev. D 101, 046018 (2020) | 10.1103/PhysRevD.101.046018 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study M-theory compactification on ${\mathbb{T}^7/ \mathbb{Z}_2^3}$ in the
presence of a seven-flux, metric fluxes and KK monopoles. The effective
four-dimensional supergravity has seven chiral multiplets whose couplings are
specified by the $G_2$-structure of the internal manifold. We supplement the
corresponding superpotential by a KKLT type non-perturbative exponential
contribution for all, or for some of the seven moduli, and find a discrete set
of supersymmetric Minkowski minima. We also study type IIA and type IIB string
theory compactified on ${\mathbb{T}^6/ \mathbb{Z}_2^2}$. In type IIA, we use a
six-flux, geometric fluxes and non-perturbative exponents. In type IIB theory,
we use F and H fluxes, and non-geometric Q and P fluxes, corresponding to
consistently gauged supergravity with certain embedding tensor components,
\emph{without non-perturbative exponents}. Also in these situations, we produce
discrete Minkowski minima. Finally, to construct dS vacua starting from these
Minkowski progenitors, we follow the procedure of mass production of dS vacua.
| [
{
"created": "Thu, 5 Dec 2019 18:34:00 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Dec 2019 17:07:35 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Mar 2020 10:24:40 GMT",
"version": "v3"
}
] | 2020-03-16 | [
[
"Cribiori",
"Niccolò",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Roupec",
"Christoph",
""
]
] | We study M-theory compactification on ${\mathbb{T}^7/ \mathbb{Z}_2^3}$ in the presence of a seven-flux, metric fluxes and KK monopoles. The effective four-dimensional supergravity has seven chiral multiplets whose couplings are specified by the $G_2$-structure of the internal manifold. We supplement the corresponding superpotential by a KKLT type non-perturbative exponential contribution for all, or for some of the seven moduli, and find a discrete set of supersymmetric Minkowski minima. We also study type IIA and type IIB string theory compactified on ${\mathbb{T}^6/ \mathbb{Z}_2^2}$. In type IIA, we use a six-flux, geometric fluxes and non-perturbative exponents. In type IIB theory, we use F and H fluxes, and non-geometric Q and P fluxes, corresponding to consistently gauged supergravity with certain embedding tensor components, \emph{without non-perturbative exponents}. Also in these situations, we produce discrete Minkowski minima. Finally, to construct dS vacua starting from these Minkowski progenitors, we follow the procedure of mass production of dS vacua. |
hep-th/9702042 | Bernard Knaepen | Marc Henneaux, Bernard Knaepen and Christiane Schomblond | BRST cohomology of the Chapline-Manton model | Latex file, no figures, 15 pages | Lett.Math.Phys. 42 (1997) 337-348 | 10.1023/B:MATH.0000009704.06617.54 | ULB-TH-97/02 | hep-th | null | We completely compute the local BRST cohomology $H(s|d)$ of the combined
Yang-Mills-2-form system coupled through the Yang-Mills Chern-Simons term
("Chapline-Manton model"). We consider the case of a simple gauge group and
explicitely include in the analysis the sources for the BRST variations of the
fields ("antifields"). We show that there is an antifield independent
representative in each cohomological class of $H(s|d)$ at ghost number 0 or 1.
Accordingly, any counterterm may be assumed to preserve the gauge symmetries.
Similarly, there is no new candidate anomaly beside those already considered in
the literature, even when one takes the antifields into account. We then
characterize explicitly all the non-trivial solutions of the Wess-Zumino
consistency conditions. In particular, we provide a cohomological
interpretation of the Green-Schwarz anomaly cancellation mechanism.
| [
{
"created": "Wed, 5 Feb 1997 12:38:52 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Henneaux",
"Marc",
""
],
[
"Knaepen",
"Bernard",
""
],
[
"Schomblond",
"Christiane",
""
]
] | We completely compute the local BRST cohomology $H(s|d)$ of the combined Yang-Mills-2-form system coupled through the Yang-Mills Chern-Simons term ("Chapline-Manton model"). We consider the case of a simple gauge group and explicitely include in the analysis the sources for the BRST variations of the fields ("antifields"). We show that there is an antifield independent representative in each cohomological class of $H(s|d)$ at ghost number 0 or 1. Accordingly, any counterterm may be assumed to preserve the gauge symmetries. Similarly, there is no new candidate anomaly beside those already considered in the literature, even when one takes the antifields into account. We then characterize explicitly all the non-trivial solutions of the Wess-Zumino consistency conditions. In particular, we provide a cohomological interpretation of the Green-Schwarz anomaly cancellation mechanism. |
hep-th/0605065 | Stefano Bolognesi | Stefano Bolognesi | Baryons and Skyrmions in QCD with Quarks in Higher Representations | 23 pages, 13 figures. v2: minor changes. v3: corrected a mistake and
some typos. v4: modifyed the part about the stability of the Skyrmion | Phys.Rev.D75:065030,2007 | 10.1103/PhysRevD.75.065030 | null | hep-th | null | We study the baryonic sector of QCD with quarks in the two index symmetric or
antisymmetric representation. The minimal gauge invariant state that carries
baryon number cannot be identified with the Skyrmion of the low energy chiral
effective Lagrangian. Mass, statistics and baryon number do not match. We
carefully investigate the properties of the minimal baryon in the large N limit
and we find that it is unstable under formation of bound states with higher
baryonic number. These states match exactly with the properties of the Skyrmion
of the effective Lagrangian.
| [
{
"created": "Fri, 5 May 2006 17:19:15 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 2006 14:59:03 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jul 2006 17:36:04 GMT",
"version": "v3"
},
{
"created": "Sat, 9 Dec 2006 02:51:04 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Bolognesi",
"Stefano",
""
]
] | We study the baryonic sector of QCD with quarks in the two index symmetric or antisymmetric representation. The minimal gauge invariant state that carries baryon number cannot be identified with the Skyrmion of the low energy chiral effective Lagrangian. Mass, statistics and baryon number do not match. We carefully investigate the properties of the minimal baryon in the large N limit and we find that it is unstable under formation of bound states with higher baryonic number. These states match exactly with the properties of the Skyrmion of the effective Lagrangian. |
hep-th/0205307 | J. M. Speight | N.S. Manton and J.M. Speight | Asymptotic Interactions of Critically Coupled Vortices | 23 pages, 1 figure; some references and a discussion of asymptotic
curvature properties added | Commun.Math.Phys. 236 (2003) 535-555 | 10.1007/s00220-003-0842-4 | DAMTP-2002-62, Leeds Pure Mathematics 2002/9 | hep-th math.DG | null | At critical coupling, the interactions of Ginzburg-Landau vortices are
determined by the metric on the moduli space of static solutions. The
asymptotic form of the metric for two well separated vortices is shown here to
be expressible in terms of a Bessel function. A straightforward extension gives
the metric for N vortices. The asymptotic metric is also shown to follow from a
physical model, where each vortex is treated as a point-like particle carrying
a scalar charge and a magnetic dipole moment of the same magnitude. The
geodesic motion of two well separated vortices is investigated, and the
asymptotic dependence of the scattering angle on the impact parameter is
determined. Formulae for the asymptotic Ricci and scalar curvatures of the
N-vortex moduli space are also obtained.
| [
{
"created": "Thu, 30 May 2002 14:58:35 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 2003 12:18:52 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Manton",
"N. S.",
""
],
[
"Speight",
"J. M.",
""
]
] | At critical coupling, the interactions of Ginzburg-Landau vortices are determined by the metric on the moduli space of static solutions. The asymptotic form of the metric for two well separated vortices is shown here to be expressible in terms of a Bessel function. A straightforward extension gives the metric for N vortices. The asymptotic metric is also shown to follow from a physical model, where each vortex is treated as a point-like particle carrying a scalar charge and a magnetic dipole moment of the same magnitude. The geodesic motion of two well separated vortices is investigated, and the asymptotic dependence of the scattering angle on the impact parameter is determined. Formulae for the asymptotic Ricci and scalar curvatures of the N-vortex moduli space are also obtained. |
hep-th/9210152 | Jiri Chyla | Ladislav Hlavaty | Quantum Braided Groups | 10 pages, LATeX, In any related matters please contact
HLAVATY@FJFI.CVUT.CS | J.Math.Phys. 35 (1994) 2560-2569 | 10.1063/1.530523 | PRA-HEP-92/18 | hep-th | null | A new type of algebras that represent a generalization of both quantum groups
and braided groups is defined. These algebras are given by a pair of solutions
of the Yang--Baxter equation that satisfy some additional conditions. Several
examples are presented.
| [
{
"created": "Thu, 29 Oct 1992 13:27:47 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Hlavaty",
"Ladislav",
""
]
] | A new type of algebras that represent a generalization of both quantum groups and braided groups is defined. These algebras are given by a pair of solutions of the Yang--Baxter equation that satisfy some additional conditions. Several examples are presented. |
0911.4241 | S. Mignemi | M. Coraddu, S. Mignemi | The nonrelativistic limit of the Magueijo-Smolin model of deformed
special relativity | 10 pages, plain TeX. Discussion of generalized Dirac equation and CPT
violation added | Europhys.Lett.91:51002,2010 | 10.1209/0295-5075/91/51002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the nonrelativistic limit of the motion of a classical particle in a
model of deformed special relativity and of the corresponding generalized
Klein-Gordon and Dirac equations, and show that they reproduce nonrelativistic
classical and quantum mechanics, respectively, although the rest mass of a
particle no longer coincides with its inertial mass. This fact clarifies the
meaning of the different definitions of velocity of a particle available in DSR
literature. Moreover, the rest mass of particles and antiparticles differ,
breaking the CPT invariance. This effect is close to observational limits and
future experiments may give indications on its effective existence.
| [
{
"created": "Sun, 22 Nov 2009 09:51:18 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 2010 10:06:09 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Coraddu",
"M.",
""
],
[
"Mignemi",
"S.",
""
]
] | We study the nonrelativistic limit of the motion of a classical particle in a model of deformed special relativity and of the corresponding generalized Klein-Gordon and Dirac equations, and show that they reproduce nonrelativistic classical and quantum mechanics, respectively, although the rest mass of a particle no longer coincides with its inertial mass. This fact clarifies the meaning of the different definitions of velocity of a particle available in DSR literature. Moreover, the rest mass of particles and antiparticles differ, breaking the CPT invariance. This effect is close to observational limits and future experiments may give indications on its effective existence. |
hep-th/0009241 | Henri Verschelde | H. Verschelde and J. De Pessemier | Study of the O(N) linear sigma model at finite temperature using the
2PPI expansion | 17 pages, 8 figures | Eur.Phys.J.C22:771-779,2002 | 10.1007/s100520100795 | null | hep-th | null | We show that a new expansion which sums seagull and bubble graphs to all
orders, can be applied to the O(N) linear sigma model at finite temperature. We
prove that this expansion can be renormalised with the usual counterterms in a
mass independent scheme and that Goldstone's theorem is satisfied at each
order. At the one loop order of this expansion, the Hartree result for the
effective potential (daisy and superdaisy graphs) is recovered. We show that at
one loop 2PPI order, the self energy of the sigma meson can be calculated
exactly and that diagrams are summed beyond the Hartree approximation.
| [
{
"created": "Fri, 29 Sep 2000 12:36:32 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Verschelde",
"H.",
""
],
[
"De Pessemier",
"J.",
""
]
] | We show that a new expansion which sums seagull and bubble graphs to all orders, can be applied to the O(N) linear sigma model at finite temperature. We prove that this expansion can be renormalised with the usual counterterms in a mass independent scheme and that Goldstone's theorem is satisfied at each order. At the one loop order of this expansion, the Hartree result for the effective potential (daisy and superdaisy graphs) is recovered. We show that at one loop 2PPI order, the self energy of the sigma meson can be calculated exactly and that diagrams are summed beyond the Hartree approximation. |
hep-th/9309051 | Albrecht | Andreas Albrecht | Following a "Collapsing" Wavefunction | 30 pages, plain LaTex, 3 figures in a separate uuencoded file | Phys.Rev.D48:3768-3778,1993 | 10.1103/PhysRevD.48.3768 | Imperial/TP/92-93/03 and Fermilab-Pub-92/318-A | hep-th gr-qc | null | I study the quantum mechanics of a spin interacting with an ``apparatus''.
Although the evolution of the whole system is unitary, the spin evolution is
not. The system is chosen so that the spin exhibits loss of quantum coherence,
or ``wavefunction collapse'', of the sort usually associated with a quantum
measurement. The system is analyzed from the point of view of the spin density
matrix (or ``Schmidt paths''), and also using the consistent histories
approach. These two points of view are contrasted with each other. Connections
between the results and the form of the Hamiltonian are discussed in detail.
| [
{
"created": "Thu, 9 Sep 1993 10:16:34 GMT",
"version": "v1"
}
] | 2010-04-08 | [
[
"Albrecht",
"Andreas",
""
]
] | I study the quantum mechanics of a spin interacting with an ``apparatus''. Although the evolution of the whole system is unitary, the spin evolution is not. The system is chosen so that the spin exhibits loss of quantum coherence, or ``wavefunction collapse'', of the sort usually associated with a quantum measurement. The system is analyzed from the point of view of the spin density matrix (or ``Schmidt paths''), and also using the consistent histories approach. These two points of view are contrasted with each other. Connections between the results and the form of the Hamiltonian are discussed in detail. |
hep-th/9307069 | null | M.C. Nemes and Saulo C.S. Silva | On the Necessity of Rational Velocities: a Gedankenexperiment | 4 pages IFUSP/P-1058 | null | null | null | hep-th | null | In the present contribution we propose a gedankenexperiment in which the
restriction of rational values on the velocities emerges as a necessary
condition from Classical Electromagnetism and Quantum Mechanics. This
restriction is shown to be intimately connected to Dirac's electric charge
quantization condition.
| [
{
"created": "Fri, 9 Jul 1993 14:42:15 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 1993 17:06:50 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Nemes",
"M. C.",
""
],
[
"Silva",
"Saulo C. S.",
""
]
] | In the present contribution we propose a gedankenexperiment in which the restriction of rational values on the velocities emerges as a necessary condition from Classical Electromagnetism and Quantum Mechanics. This restriction is shown to be intimately connected to Dirac's electric charge quantization condition. |
2001.06022 | Richard Nally | Shamit Kachru, Richard Nally, and Wenzhe Yang | Supersymmetric Flux Compactifications and Calabi-Yau Modularity | v2: References added; examples added and removed. 20 pages +
appendices, 7 tables | null | null | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Flux compactification of IIB string theory associates special points in
Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In
this paper, we propose that supersymmetric flux vacua are modular. That is, to
a supersymmetric flux vacuum arising in a variety defined over $\mathbb{Q}$, we
associate a two-dimensional Galois representation that we conjecture to be
modular. We provide numerical evidence for our conjecture by examining flux
vacua arising on the octic hypersurface in $\mathbb{P}^{4}(1,1,2,2,2)$.
| [
{
"created": "Thu, 16 Jan 2020 19:00:39 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 2020 01:25:41 GMT",
"version": "v2"
}
] | 2020-03-31 | [
[
"Kachru",
"Shamit",
""
],
[
"Nally",
"Richard",
""
],
[
"Yang",
"Wenzhe",
""
]
] | Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a supersymmetric flux vacuum arising in a variety defined over $\mathbb{Q}$, we associate a two-dimensional Galois representation that we conjecture to be modular. We provide numerical evidence for our conjecture by examining flux vacua arising on the octic hypersurface in $\mathbb{P}^{4}(1,1,2,2,2)$. |
hep-th/0006118 | Peter Horvathy | P. A. Horv\'athy, A. J. Macfarlane, and J.-W. van Holten | Monopole supersymmetries and the Biedenharn operator | 10 pages. Plain TeX, no figures. Submitted to the Phys. Lett. B | Phys.Lett. B486 (2000) 346-352 | 10.1016/S0370-2693(00)00777-2 | null | hep-th math-ph math.MP | null | The hidden supersymmetry of the monopole found by De Jonghe et al. is
generalized to a spin $\2$ particle in the combined field of a Dirac monopole
plus a $\lambda^2/r^2$ potential [considered before by D'Hoker and Vinet], and
related to the operator introduced by Biedenharn a long time ago in solving the
Dirac-Coulomb problem. Explicit solutions are obtained by diagonalizing the
Biedenharn operator
| [
{
"created": "Fri, 16 Jun 2000 13:00:30 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Horváthy",
"P. A.",
""
],
[
"Macfarlane",
"A. J.",
""
],
[
"van Holten",
"J. -W.",
""
]
] | The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin $\2$ particle in the combined field of a Dirac monopole plus a $\lambda^2/r^2$ potential [considered before by D'Hoker and Vinet], and related to the operator introduced by Biedenharn a long time ago in solving the Dirac-Coulomb problem. Explicit solutions are obtained by diagonalizing the Biedenharn operator |
hep-th/0205316 | Alexander Maloney | Alexander Maloney, Eva Silverstein, Andrew Strominger | de Sitter Space in Non-Critical String Theory | 23 pages, 2 figures. To appear in the Hawking Festschrift. References
added and typos corrected | null | null | SLAC-PUB-9228, HUTP-02/A019 | hep-th | null | Supercritical string theories in D>10 dimensions with no moduli are
described, generalizing the asymmetric orientifold construction of one of the
authors. By taking the number of dimensions to be large and turning on fluxes,
dilaton potentials are generated with nontrivial minima at arbitrarily small
cosmological constant and D-dimensional string coupling, separated by a barrier
from a flat-space linear dilaton region, but possibly suffering from strong
coupling problems. The general issue of the decay of a de Sitter vacuum to flat
space is discussed. For relatively small barriers, such decays are described by
gravitational instantons. It is shown that for a sufficiently large potential
barrier, the bubble wall crosses the horizon. At the same time the instanton
decay time exceeds the Poincare recurrence time. It is argued that the
inclusion of such instantons is neither physically meaningful nor consistent
with basic principles such as causality. This raises the possibility that such
de Sitter vacua are effectively stable. In the case of the supercritical flux
models, decays to the linear dilaton region can be forbidden by such large
barriers, but decays to lower flux vacua including AdS minima nevertheless
proceed consistently with this criterion. These models provide concrete
examples in which cosmological constant reduction by flux relaxation can be
explored.
| [
{
"created": "Thu, 30 May 2002 23:30:31 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2002 22:19:31 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Maloney",
"Alexander",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Strominger",
"Andrew",
""
]
] | Supercritical string theories in D>10 dimensions with no moduli are described, generalizing the asymmetric orientifold construction of one of the authors. By taking the number of dimensions to be large and turning on fluxes, dilaton potentials are generated with nontrivial minima at arbitrarily small cosmological constant and D-dimensional string coupling, separated by a barrier from a flat-space linear dilaton region, but possibly suffering from strong coupling problems. The general issue of the decay of a de Sitter vacuum to flat space is discussed. For relatively small barriers, such decays are described by gravitational instantons. It is shown that for a sufficiently large potential barrier, the bubble wall crosses the horizon. At the same time the instanton decay time exceeds the Poincare recurrence time. It is argued that the inclusion of such instantons is neither physically meaningful nor consistent with basic principles such as causality. This raises the possibility that such de Sitter vacua are effectively stable. In the case of the supercritical flux models, decays to the linear dilaton region can be forbidden by such large barriers, but decays to lower flux vacua including AdS minima nevertheless proceed consistently with this criterion. These models provide concrete examples in which cosmological constant reduction by flux relaxation can be explored. |
1107.5746 | Dmitri Gal'tsov | Mustapha Azreg-A\"inou, G\'erard Cl\'ement and Dmitri V. Gal'tsov | All extremal instantons in Einstein-Maxwell-dilaton-axion theory | 59 pages, revtex4 | Phys. Rev. D 84 (2011) 104042 | 10.1103/PhysRevD.84.104042 | LAPTH-027/11, DTP-MSU/11-12 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct explicitly all extremal instanton solutions to $\mathcal{N}=4,\,
D=4$ supergravity truncated to one vector field (Einstein-Maxwell-dilaton-axion
(EMDA) theory). These correspond to null geodesics of the target space of the
sigma-model $G/H=Sp(4,\mathbb{R})/GL(2,\mathbb{R})$ obtained by
compactification of four-dimensional Euclidean EMDA on a circle. They satisfy a
no-force condition in terms of the asymptotic charges and part of them
(corresponding to nilpotent orbits of the $Sp(4,\mathbb{R})$ U-duality) are
presumably supersymmetric. The space of finite action solutions is found to be
unexpectedly large and includes, besides the Euclidean versions of known
Lorentzian solutions, a number of new asymptotically locally flat (ALF)
instantons endowed with electric, magnetic, dilaton and axion charges. We also
describe new classes of charged asymptotically locally Euclidean (ALE)
instantons as well as some exceptional solutions. Our classification scheme is
based on the algebraic classification of matrix generators according to their
rank, according to the nature of the charge vectors and according to the number
of independent harmonic functions with unequal charges. Besides the nilpotent
orbits of $G$, we find solutions which satisfy the asymptotic no-force
condition, but are not supersymmetric. The renormalized on-shell action for
instantons is calculated using the method of matched background subtraction.
| [
{
"created": "Thu, 28 Jul 2011 15:49:57 GMT",
"version": "v1"
}
] | 2017-09-07 | [
[
"Azreg-Aïnou",
"Mustapha",
""
],
[
"Clément",
"Gérard",
""
],
[
"Gal'tsov",
"Dmitri V.",
""
]
] | We construct explicitly all extremal instanton solutions to $\mathcal{N}=4,\, D=4$ supergravity truncated to one vector field (Einstein-Maxwell-dilaton-axion (EMDA) theory). These correspond to null geodesics of the target space of the sigma-model $G/H=Sp(4,\mathbb{R})/GL(2,\mathbb{R})$ obtained by compactification of four-dimensional Euclidean EMDA on a circle. They satisfy a no-force condition in terms of the asymptotic charges and part of them (corresponding to nilpotent orbits of the $Sp(4,\mathbb{R})$ U-duality) are presumably supersymmetric. The space of finite action solutions is found to be unexpectedly large and includes, besides the Euclidean versions of known Lorentzian solutions, a number of new asymptotically locally flat (ALF) instantons endowed with electric, magnetic, dilaton and axion charges. We also describe new classes of charged asymptotically locally Euclidean (ALE) instantons as well as some exceptional solutions. Our classification scheme is based on the algebraic classification of matrix generators according to their rank, according to the nature of the charge vectors and according to the number of independent harmonic functions with unequal charges. Besides the nilpotent orbits of $G$, we find solutions which satisfy the asymptotic no-force condition, but are not supersymmetric. The renormalized on-shell action for instantons is calculated using the method of matched background subtraction. |
2005.14205 | Niko Jokela | Carlos Hoyos, Niko Jokela, Matti Jarvinen, Javier G. Subils, Javier
Tarrio, Aleksi Vuorinen | Transport in strongly coupled quark matter | 10 pages, 4 figures; v2: revised version, accepted in PRL | Phys. Rev. Lett. 125, 241601 (2020) | 10.1103/PhysRevLett.125.241601 | HIP-2020-9/TH, ICCUB-20-010 | hep-th astro-ph.HE hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the possible presence of deconfined quark matter in neutron
stars and their mergers and the important role of transport phenomena in these
systems, we perform the first-ever systematic study of different viscosities
and conductivities of dense quark matter using the gauge/gravity duality.
Utilizing the V-QCD model, we arrive at results that are in qualitative
disagreement with the predictions of perturbation theory, which highlights the
differing transport properties of the system at weak and strong coupling and
calls for caution in the use of the perturbative results in neutron-star
applications.
| [
{
"created": "Thu, 28 May 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 2020 08:04:38 GMT",
"version": "v2"
}
] | 2021-01-04 | [
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Subils",
"Javier G.",
""
],
[
"Tarrio",
"Javier",
""
],
[
"Vuorinen",
"Aleksi",
""
]
] | Motivated by the possible presence of deconfined quark matter in neutron stars and their mergers and the important role of transport phenomena in these systems, we perform the first-ever systematic study of different viscosities and conductivities of dense quark matter using the gauge/gravity duality. Utilizing the V-QCD model, we arrive at results that are in qualitative disagreement with the predictions of perturbation theory, which highlights the differing transport properties of the system at weak and strong coupling and calls for caution in the use of the perturbative results in neutron-star applications. |
1403.1857 | Anna Pachol | Marija Dimitrijevic, Larisa Jonke, Anna Pachol | Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible
Solutions | null | SIGMA 10 (2014), 063, 22 pages | 10.3842/SIGMA.2014.063 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We review the application of twist deformation formalism and the construction
of noncommutative gauge theory on $\kappa$-Minkowski space-time. We compare two
different types of twists: the Abelian and the Jordanian one. In each case we
provide the twisted differential calculus and consider ${U}(1)$ gauge theory.
Different methods of obtaining a gauge invariant action and related
problems are thoroughly discussed.
| [
{
"created": "Fri, 7 Mar 2014 19:56:11 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jun 2014 08:51:15 GMT",
"version": "v2"
}
] | 2014-06-17 | [
[
"Dimitrijevic",
"Marija",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Pachol",
"Anna",
""
]
] | We review the application of twist deformation formalism and the construction of noncommutative gauge theory on $\kappa$-Minkowski space-time. We compare two different types of twists: the Abelian and the Jordanian one. In each case we provide the twisted differential calculus and consider ${U}(1)$ gauge theory. Different methods of obtaining a gauge invariant action and related problems are thoroughly discussed. |
1404.6300 | Washington Taylor | Gabriella Martini and Washington Taylor | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over
semi-toric base surfaces | 38 pages, 17 figures; v2: references added, minor typos corrected;
v3: additional constraints rule out 4 inconsistent bases, minor cosmetic
improvements; v4:minor clarifications, typo corrected | null | null | MIT-CTP-4448 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We carry out a systematic study of a class of 6D F-theory models and
associated Calabi-Yau threefolds that are constructed using base surfaces with
a generalization of toric structure. In particular, we determine all smooth
surfaces with a structure invariant under a single C^* action (sometimes called
"T-varieties" in the mathematical literature) that can act as bases for an
elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404
distinct bases, which include as a subset the previously studied set of
strictly toric bases. Calabi-Yau threefolds constructed in this fashion include
examples with previously unknown Hodge numbers. There are also bases over which
the generic elliptic fibration has a Mordell-Weil group of sections with
nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D
supergravity model; this type of structure does not arise for generic elliptic
fibrations in the purely toric context.
| [
{
"created": "Fri, 25 Apr 2014 01:17:16 GMT",
"version": "v1"
},
{
"created": "Sat, 17 May 2014 13:03:08 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jan 2015 16:45:03 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Apr 2015 11:38:37 GMT",
"version": "v4"
}
] | 2015-04-21 | [
[
"Martini",
"Gabriella",
""
],
[
"Taylor",
"Washington",
""
]
] | We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C^* action (sometimes called "T-varieties" in the mathematical literature) that can act as bases for an elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404 distinct bases, which include as a subset the previously studied set of strictly toric bases. Calabi-Yau threefolds constructed in this fashion include examples with previously unknown Hodge numbers. There are also bases over which the generic elliptic fibration has a Mordell-Weil group of sections with nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D supergravity model; this type of structure does not arise for generic elliptic fibrations in the purely toric context. |
1512.07832 | Hasan El Moumni | M. Chabab, H. EL Moumni, K. Masmar | Thermodynamics of Charged AdS Black Holes in Extended Phases Space via
M2-branes Background | 19 pages, 12 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by a recent work on asymptotically Ad$S_4$ black holes in M-theory,
we investigate both thermodynamics and thermodynamical geometry of
Raissner-Nordstrom-AdS black holes from M2-branes. More precisely, we study AdS
black holes in $AdS_{4}\times S^{7}$, with the number of M2-branes interpreted
as a thermodynamical variable. In this context, we calculate various
thermodynamical quantities including the chemical potential, and examine their
phase transitions along with the corresponding stability behaviors. In
addition, we also evaluate the thermodynamical curvatures of the Weinhold,
Ruppeiner and Quevedo metrics for M2-branes geometry to study the stability of
such black object. We show that the singularities of these scalar curvature's
metrics reproduce similar stability results obtained by the phase transition
program via the heat capacities in different ensembles either when the number
of the M2 branes or the charge are held fixed. Also, we note that all results
derived in [1] are recovered in the limit of the vanishing charge.
| [
{
"created": "Thu, 24 Dec 2015 15:03:09 GMT",
"version": "v1"
}
] | 2015-12-25 | [
[
"Chabab",
"M.",
""
],
[
"Moumni",
"H. EL",
""
],
[
"Masmar",
"K.",
""
]
] | Motivated by a recent work on asymptotically Ad$S_4$ black holes in M-theory, we investigate both thermodynamics and thermodynamical geometry of Raissner-Nordstrom-AdS black holes from M2-branes. More precisely, we study AdS black holes in $AdS_{4}\times S^{7}$, with the number of M2-branes interpreted as a thermodynamical variable. In this context, we calculate various thermodynamical quantities including the chemical potential, and examine their phase transitions along with the corresponding stability behaviors. In addition, we also evaluate the thermodynamical curvatures of the Weinhold, Ruppeiner and Quevedo metrics for M2-branes geometry to study the stability of such black object. We show that the singularities of these scalar curvature's metrics reproduce similar stability results obtained by the phase transition program via the heat capacities in different ensembles either when the number of the M2 branes or the charge are held fixed. Also, we note that all results derived in [1] are recovered in the limit of the vanishing charge. |
1405.5538 | Grant Remmen | Grant N. Remmen and Sean M. Carroll | How Many $e$-Folds Should We Expect from High-Scale Inflation? | 13 pages, 4 figures. PRD version | Phys. Rev. D 90, 063517 (2014) | 10.1103/PhysRevD.90.063517 | CALT-2014-138 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the issue of how many $e$-folds we would naturally expect if
inflation occurred at an energy scale of order $10^{16}$ GeV. We use the
canonical measure on trajectories in classical phase space, specialized to the
case of flat universes with a single scalar field. While there is no exact
analytic expression for the measure, we are able to derive conditions that
determine its behavior. For a quadratic potential $V(\phi)=m^{2}\phi^{2}/2$
with $m=2\times10^{13}$ GeV and cutoff at $M_{{\rm Pl}}=2.4\times10^{18}$ GeV,
we find an expectation value of $2\times10^{10}$ $e$-folds on the set of
Friedmann-Robertson-Walker trajectories. For cosine inflation
$V(\phi)=\Lambda^{4}[1-\cos(\phi/f)]$ with $f=1.5\times10^{19}$ GeV, we find
that the expected total number of $e$-folds is 50, which would just satisfy the
observed requirements of our own Universe; if $f$ is larger, more than 50
$e$-folds are generically attained. We conclude that one should expect a large
amount of inflation in large-field models and more limited inflation in
small-field (hilltop) scenarios.
| [
{
"created": "Wed, 21 May 2014 20:00:15 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2014 00:21:47 GMT",
"version": "v2"
}
] | 2014-10-02 | [
[
"Remmen",
"Grant N.",
""
],
[
"Carroll",
"Sean M.",
""
]
] | We address the issue of how many $e$-folds we would naturally expect if inflation occurred at an energy scale of order $10^{16}$ GeV. We use the canonical measure on trajectories in classical phase space, specialized to the case of flat universes with a single scalar field. While there is no exact analytic expression for the measure, we are able to derive conditions that determine its behavior. For a quadratic potential $V(\phi)=m^{2}\phi^{2}/2$ with $m=2\times10^{13}$ GeV and cutoff at $M_{{\rm Pl}}=2.4\times10^{18}$ GeV, we find an expectation value of $2\times10^{10}$ $e$-folds on the set of Friedmann-Robertson-Walker trajectories. For cosine inflation $V(\phi)=\Lambda^{4}[1-\cos(\phi/f)]$ with $f=1.5\times10^{19}$ GeV, we find that the expected total number of $e$-folds is 50, which would just satisfy the observed requirements of our own Universe; if $f$ is larger, more than 50 $e$-folds are generically attained. We conclude that one should expect a large amount of inflation in large-field models and more limited inflation in small-field (hilltop) scenarios. |
hep-th/0509098 | Shane Magee | Conor Houghton, Shane Magee | A zero-mode quantization of the Skyrmion | 8 pages, typos corrected, version to appear in Phys. Lett. B | Phys.Lett.B632:593-596,2006 | 10.1016/j.physletb.2005.10.093 | TCDMATH 05-08 | hep-th | null | In the semi-classical approach to the Skyrme model, nuclei are approximated
by quantum mechanical states on a finite-dimensional space of field
configurations; in zero-mode quantization this space is generated by rotations
and isorotations. Here, simulated annealing is used to find the axially
symmetric Skyrme configuration which extremizes the zero-mode quantized energy
for the nucleon.
| [
{
"created": "Tue, 13 Sep 2005 18:52:35 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2005 11:11:28 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Houghton",
"Conor",
""
],
[
"Magee",
"Shane",
""
]
] | In the semi-classical approach to the Skyrme model, nuclei are approximated by quantum mechanical states on a finite-dimensional space of field configurations; in zero-mode quantization this space is generated by rotations and isorotations. Here, simulated annealing is used to find the axially symmetric Skyrme configuration which extremizes the zero-mode quantized energy for the nucleon. |
1709.05347 | Petr Kravchuk | Petr Kravchuk | Casimir recursion relations for general conformal blocks | 84 pages | null | 10.1007/JHEP02(2018)011 | CALT-TH 2017-050 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the structure of series expansions of general spinning conformal
blocks. We find that the terms in these expansions are naturally expressed by
means of special functions related to matrix elements of Spin(d)
representations in Gelfand-Tsetlin basis, of which the Gegenbauer polynomials
are a special case. We study the properties of these functions and explain how
they can be computed in practice. We show how the Casimir equation in
Dolan-Osborn coordinates leads to a simple one-step recursion relation for the
coefficients of the series expansion of general spinning conformal block. The
form of this recursion relation is determined by 6j symbols of Spin(d-1). In
particular, it can be written down in closed form in d=3, d=4, for seed blocks
in general dimensions, or in any other situation when the required 6j symbols
can be computed. We work out several explicit examples and briefly discuss how
our recursion relation can be used for efficient numerical computation of
general conformal blocks.
| [
{
"created": "Fri, 15 Sep 2017 18:00:03 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Kravchuk",
"Petr",
""
]
] | We study the structure of series expansions of general spinning conformal blocks. We find that the terms in these expansions are naturally expressed by means of special functions related to matrix elements of Spin(d) representations in Gelfand-Tsetlin basis, of which the Gegenbauer polynomials are a special case. We study the properties of these functions and explain how they can be computed in practice. We show how the Casimir equation in Dolan-Osborn coordinates leads to a simple one-step recursion relation for the coefficients of the series expansion of general spinning conformal block. The form of this recursion relation is determined by 6j symbols of Spin(d-1). In particular, it can be written down in closed form in d=3, d=4, for seed blocks in general dimensions, or in any other situation when the required 6j symbols can be computed. We work out several explicit examples and briefly discuss how our recursion relation can be used for efficient numerical computation of general conformal blocks. |
1807.08032 | Nikol\'as Cruz-Camacho | Nikol\'as Cruz-Camacho, Mauricio Martinez | Out-of-equilibrium Gubser flow attractors | 3 pages, 1 figure, proceedings from XXVIIth International Conference
on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2018) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the non-equilibrium attractors of systems undergoing Gubser flow
within kinetic theory by means of nonlinear dynamical systems. We obtain the
attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient
fluid (DNMR) theories. These attractors are non-planar and the basin of
attraction is three dimensional. We compare the asymptotic attractors of each
hydrodynamic model with the one obtained from the exact Gubser solution of the
Boltzmann equation within the relaxation time approximation. Anisotropic
hydrodynamics matches, up to high numerical accuracy, the attractor of the
exact theory while the other hydrodynamic theories fail to do so. Thus,
anisotropic hydrodynamics is an effective theory for far-from-equilibrium
fluids, which consists of the dissipative (nonperturbative) contributions at
any order in the gradient expansion.
| [
{
"created": "Fri, 20 Jul 2018 21:14:17 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jul 2018 00:12:07 GMT",
"version": "v2"
}
] | 2018-07-27 | [
[
"Cruz-Camacho",
"Nikolás",
""
],
[
"Martinez",
"Mauricio",
""
]
] | We discuss the non-equilibrium attractors of systems undergoing Gubser flow within kinetic theory by means of nonlinear dynamical systems. We obtain the attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient fluid (DNMR) theories. These attractors are non-planar and the basin of attraction is three dimensional. We compare the asymptotic attractors of each hydrodynamic model with the one obtained from the exact Gubser solution of the Boltzmann equation within the relaxation time approximation. Anisotropic hydrodynamics matches, up to high numerical accuracy, the attractor of the exact theory while the other hydrodynamic theories fail to do so. Thus, anisotropic hydrodynamics is an effective theory for far-from-equilibrium fluids, which consists of the dissipative (nonperturbative) contributions at any order in the gradient expansion. |
1407.6956 | Mario Trigiante | P. Fr\'e, A.S. Sorin and M. Trigiante | The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$
inflaton potentials | 101 pages, LaTeX source | null | 10.1002/prop.201500001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we address the general problem of including inflationary models
exhibiting Starobinsky-like potentials into (symmetric) $\mathcal{N}=2$
supergravities. This is done by gauging suitable abelian isometries of the
hypermultiplet sector and then truncating the resulting theory to a single
scalar field. By using the characteristic properties of the global symmetry
groups of the $\mathcal{N}=2$ supergravities we are able to make a general
statement on the possible $\alpha$-attractor models which can obtained upon
truncation. We find that in symmetric $\mathcal{N}=2$ models group theoretical
constraints restrict the allowed values of the parameter $\alpha$ to be
$\alpha=1,\,\frac{2}{3},\, \frac{1}{3}$. This confirms and generalizes results
recently obtained in the literature. Our analysis heavily relies on the
mathematical structure of symmetric $\mathcal{N}=2$ supergravities, in
particular on the so called $c$-map connection between Quaternionic K\"ahler
manifolds starting from Special K\"ahler ones. A general statement on the
possible consistent truncations of the gauged models, leading to
Starobinsky-like potentials, requires the essential help of Tits Satake
universality classes. The paper is mathematically self-contained and aims at
presenting the involved mathematical structures to a public not only of
physicists but also of mathematicians. To this end the main mathematical
structures and the general gauging procedure of $\mathcal{N}=2$ supergravities
is reviewed in some detail.
| [
{
"created": "Fri, 25 Jul 2014 16:14:52 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Fré",
"P.",
""
],
[
"Sorin",
"A. S.",
""
],
[
"Trigiante",
"M.",
""
]
] | In this paper we address the general problem of including inflationary models exhibiting Starobinsky-like potentials into (symmetric) $\mathcal{N}=2$ supergravities. This is done by gauging suitable abelian isometries of the hypermultiplet sector and then truncating the resulting theory to a single scalar field. By using the characteristic properties of the global symmetry groups of the $\mathcal{N}=2$ supergravities we are able to make a general statement on the possible $\alpha$-attractor models which can obtained upon truncation. We find that in symmetric $\mathcal{N}=2$ models group theoretical constraints restrict the allowed values of the parameter $\alpha$ to be $\alpha=1,\,\frac{2}{3},\, \frac{1}{3}$. This confirms and generalizes results recently obtained in the literature. Our analysis heavily relies on the mathematical structure of symmetric $\mathcal{N}=2$ supergravities, in particular on the so called $c$-map connection between Quaternionic K\"ahler manifolds starting from Special K\"ahler ones. A general statement on the possible consistent truncations of the gauged models, leading to Starobinsky-like potentials, requires the essential help of Tits Satake universality classes. The paper is mathematically self-contained and aims at presenting the involved mathematical structures to a public not only of physicists but also of mathematicians. To this end the main mathematical structures and the general gauging procedure of $\mathcal{N}=2$ supergravities is reviewed in some detail. |
hep-th/9902129 | Eugene Shuster | Eugene Shuster | Killing spinors and Supersymmetry on AdS | LaTeX 2e, 19 pages, no figures | Nucl.Phys. B554 (1999) 198-214 | 10.1016/S0550-3213(99)00310-7 | MIT-CTP-2828 | hep-th | null | In this paper we construct several supersymmetric theories, including SU(N)
gauge theory, on AdS_5 background. We discuss the proper definition of the
Killing equation for the symplectic Majorana spinors required in AdS_5
supersymmetric theories. We find that the symplectic Killing spinor equation
involves a matrix M in the USp(2N) indices whose role was not recognized
previously. Using the correct Killing spinors we explicitly confirm that the
particle masses in the constructed theories agree with the predictions of the
AdS/CFT correspondence. Finally, we establish correct O(d-1,2) isometry
transformations required to keep the Lagrangian invariant on AdS_d.
| [
{
"created": "Fri, 19 Feb 1999 01:01:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Shuster",
"Eugene",
""
]
] | In this paper we construct several supersymmetric theories, including SU(N) gauge theory, on AdS_5 background. We discuss the proper definition of the Killing equation for the symplectic Majorana spinors required in AdS_5 supersymmetric theories. We find that the symplectic Killing spinor equation involves a matrix M in the USp(2N) indices whose role was not recognized previously. Using the correct Killing spinors we explicitly confirm that the particle masses in the constructed theories agree with the predictions of the AdS/CFT correspondence. Finally, we establish correct O(d-1,2) isometry transformations required to keep the Lagrangian invariant on AdS_d. |
1409.8238 | Satoshi Ohya | Satoshi Ohya | Supersymmetry and non-Abelian geometric phase for a free particle on a
circle with point-like interactions | 9 pages, talk given at the XXIInd International Conference on
Integrable Systems and Quantum Symmetries (ISQS-22), Prague, Czech Republic,
23-29 June 2014 | J.Phys.Conf.Ser.563:012021,2014 | 10.1088/1742-6596/563/1/012021 | DI14-013 | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Though not so widely appreciated in the literature, supersymmetric quantum
mechanics provides an ideal playground for studying non-Abelian geometric
phase, because supersymmetry always guarantees degeneracies in energy levels.
In this paper we first present a simple supersymmetric model for a free
particle on a circle with point-like interactions that exhibits $\mathscr{N} =
2$ supersymmetry and doubly degenerate energy levels. We then show that Berry's
connection in this model is given by the Wu-Yang-like magnetic monopole in
SU(2) Yang-Mills gauge theory. This article is largely based on our recent work
[arXiv:1406.4857].
| [
{
"created": "Mon, 29 Sep 2014 19:10:06 GMT",
"version": "v1"
}
] | 2014-12-01 | [
[
"Ohya",
"Satoshi",
""
]
] | Though not so widely appreciated in the literature, supersymmetric quantum mechanics provides an ideal playground for studying non-Abelian geometric phase, because supersymmetry always guarantees degeneracies in energy levels. In this paper we first present a simple supersymmetric model for a free particle on a circle with point-like interactions that exhibits $\mathscr{N} = 2$ supersymmetry and doubly degenerate energy levels. We then show that Berry's connection in this model is given by the Wu-Yang-like magnetic monopole in SU(2) Yang-Mills gauge theory. This article is largely based on our recent work [arXiv:1406.4857]. |
hep-th/9811022 | Bandos Igor | Igor Bandos and Jerzy Lukierski | Tensorial Central Charges and New Superparticle Models with Fundamental
Spinor Coordinates | 14 pages, latex, no figures, misprints corrected | Mod.Phys.Lett.A14:1257-1272,1999 | 10.1142/S0217732399001358 | ITP-UWr-921-98, TUW-98-23 | hep-th | null | We consider firstly simple D=4 superalgebra with six real tensorial central
charges $Z_{\mu\nu}$, and discuss its possible realizations in massive and
massless cases. Massless case is dynamically realized by generalized
Ferber-Shirafuji (FS) model with fundamental bosonic spinor coordinates. The
Lorentz invariance is not broken due to the realization of central charges
generators in terms of bosonic spinors. The model contains four fermionic
coordinates and possesses three kappa-symmetries thus providing the BPS
configuration preserving 3/4 of the target space supersymmetries. We show that
the physical degrees of freedom (8 real bosonic and 1 real Grassmann variable)
of our model can be described by OSp(8|1) supertwistor. The relation with
recent superparticle model by Rudychev and Sezgin is pointed out. Finally we
propose a higher dimensional generalization of our model with one real
fundamental bosonic spinor. D=10 model describes massless superparticle with
composite tensorial central charges and in D=11 we obtain 0-superbrane model
with nonvanishing mass which is generated dynamically.
| [
{
"created": "Mon, 2 Nov 1998 19:33:19 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 1999 16:57:56 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Bandos",
"Igor",
""
],
[
"Lukierski",
"Jerzy",
""
]
] | We consider firstly simple D=4 superalgebra with six real tensorial central charges $Z_{\mu\nu}$, and discuss its possible realizations in massive and massless cases. Massless case is dynamically realized by generalized Ferber-Shirafuji (FS) model with fundamental bosonic spinor coordinates. The Lorentz invariance is not broken due to the realization of central charges generators in terms of bosonic spinors. The model contains four fermionic coordinates and possesses three kappa-symmetries thus providing the BPS configuration preserving 3/4 of the target space supersymmetries. We show that the physical degrees of freedom (8 real bosonic and 1 real Grassmann variable) of our model can be described by OSp(8|1) supertwistor. The relation with recent superparticle model by Rudychev and Sezgin is pointed out. Finally we propose a higher dimensional generalization of our model with one real fundamental bosonic spinor. D=10 model describes massless superparticle with composite tensorial central charges and in D=11 we obtain 0-superbrane model with nonvanishing mass which is generated dynamically. |
2308.00739 | Takato Mori Dr. | Takato Mori, Beni Yoshida | Exploring causality in braneworld/cutoff holography via holographic
scattering | 41 pages, 16 figures (v1); a minor correction, published version in
JHEP (v2) | JHEP10(2023)104 | 10.1007/JHEP10(2023)104 | YITP-23-94 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holography with branes and/or cutoff surfaces presents a promising approach
to studying quantum gravity beyond asymptotically anti-de Sitter spacetimes.
However, this generalized holography is known to face several inconsistencies,
including potential violations of causality and fundamental entropic
inequalities. In this work, we address these challenges by investigating the
bulk scattering process and its holographic realization. Specifically, we
propose that the information on a brane/cutoff surface $Q$ propagates according
to the induced light cones originating from a fictitious asymptotic boundary
behind $Q$, rather than the conventional ones originating from a point on $Q$.
Additionally, we establish the validity of the connected wedge theorem for
generalized holography with induced light cones. We also demonstrate that
entropic inequalities remain valid within the induced causal diamonds. While
the induced light cone seemingly permits superluminal signaling, we argue that
this causality violation can be an artifact of state preparation for radially
propagating excitations, rather than local operator excitations on $Q$.
| [
{
"created": "Tue, 1 Aug 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Oct 2023 15:24:58 GMT",
"version": "v2"
}
] | 2023-10-23 | [
[
"Mori",
"Takato",
""
],
[
"Yoshida",
"Beni",
""
]
] | Holography with branes and/or cutoff surfaces presents a promising approach to studying quantum gravity beyond asymptotically anti-de Sitter spacetimes. However, this generalized holography is known to face several inconsistencies, including potential violations of causality and fundamental entropic inequalities. In this work, we address these challenges by investigating the bulk scattering process and its holographic realization. Specifically, we propose that the information on a brane/cutoff surface $Q$ propagates according to the induced light cones originating from a fictitious asymptotic boundary behind $Q$, rather than the conventional ones originating from a point on $Q$. Additionally, we establish the validity of the connected wedge theorem for generalized holography with induced light cones. We also demonstrate that entropic inequalities remain valid within the induced causal diamonds. While the induced light cone seemingly permits superluminal signaling, we argue that this causality violation can be an artifact of state preparation for radially propagating excitations, rather than local operator excitations on $Q$. |
hep-th/0609012 | Nathan Berkovits | Nathan Berkovits and Nikita Nekrasov | Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism | 23 pages harvmac, added acknowledgement | JHEP0612:029,2006 | 10.1088/1126-6708/2006/12/029 | IFT-P.030/2006, IHES-P/06/41, ITEP-TH-39/06 | hep-th | null | Using the non-minimal version of the pure spinor formalism, manifestly
super-Poincare covariant superstring scattering amplitudes can be computed as
in topological string theory without the need of picture-changing operators.
The only subtlety comes from regularizing the functional integral over the pure
spinor ghosts. In this paper, it is shown how to regularize this functional
integral in a BRST-invariant manner, allowing the computation of arbitrary
multiloop amplitudes. The regularization method simplifies for scattering
amplitudes which contribute to ten-dimensional F-terms, i.e. terms in the
ten-dimensional superspace action which do not involve integration over the
maximum number of $\theta$'s.
| [
{
"created": "Fri, 1 Sep 2006 19:51:01 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Sep 2006 17:43:58 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Berkovits",
"Nathan",
""
],
[
"Nekrasov",
"Nikita",
""
]
] | Using the non-minimal version of the pure spinor formalism, manifestly super-Poincare covariant superstring scattering amplitudes can be computed as in topological string theory without the need of picture-changing operators. The only subtlety comes from regularizing the functional integral over the pure spinor ghosts. In this paper, it is shown how to regularize this functional integral in a BRST-invariant manner, allowing the computation of arbitrary multiloop amplitudes. The regularization method simplifies for scattering amplitudes which contribute to ten-dimensional F-terms, i.e. terms in the ten-dimensional superspace action which do not involve integration over the maximum number of $\theta$'s. |
1508.07412 | Kohji Yajima | Kohji Yajima, Tsutomu Kobayashi | Suppressing the primordial tensor amplitude without changing the scalar
sector in quadratic curvature gravity | 7 pages, 3 figures; v2: published version | Phys. Rev. D 92, 103503 (2015) | 10.1103/PhysRevD.92.103503 | RUP-15-17 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the question of how one can modify the inflationary tensor
spectrum without changing at all the successful predictions on the curvature
perturbation. We show that this is indeed possible, and determine the two
quadratic curvature corrections that are free from instabilities and affect
only the tensor sector at the level of linear cosmological perturbations. Both
of the two corrections can reduce the tensor amplitude, though one of them
generates large non-Gaussianity of the curvature perturbation. It turns out
that the other one corresponds to so-called Lorentz-violating Weyl gravity. In
this latter case one can obtain as small as 65% of the standard tensor
amplitude. Utilizing this effect we demonstrate that even power-law inflation
can be within the 2$\sigma$ contour of the Planck results.
| [
{
"created": "Sat, 29 Aug 2015 06:42:01 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2015 05:39:20 GMT",
"version": "v2"
}
] | 2015-11-11 | [
[
"Yajima",
"Kohji",
""
],
[
"Kobayashi",
"Tsutomu",
""
]
] | We address the question of how one can modify the inflationary tensor spectrum without changing at all the successful predictions on the curvature perturbation. We show that this is indeed possible, and determine the two quadratic curvature corrections that are free from instabilities and affect only the tensor sector at the level of linear cosmological perturbations. Both of the two corrections can reduce the tensor amplitude, though one of them generates large non-Gaussianity of the curvature perturbation. It turns out that the other one corresponds to so-called Lorentz-violating Weyl gravity. In this latter case one can obtain as small as 65% of the standard tensor amplitude. Utilizing this effect we demonstrate that even power-law inflation can be within the 2$\sigma$ contour of the Planck results. |
1712.07354 | Leszek Hadasz | Pawe{\l} Ciosmak, Leszek Hadasz, Zbigniew Jask\'olski, Masahide
Manabe, Piotr Su{\l}kowski | From CFT to Ramond super-quantum curves | 72 pages | null | 10.1007/JHEP05(2018)133 | CALT-2017-070 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As we have shown in the previous work, using the formalism of matrix and
eigenvalue models, to a given classical algebraic curve one can associate an
infinite family of quantum curves, which are in one-to-one correspondence with
singular vectors of a certain (e.g. Virasoro or super-Virasoro) underlying
algebra. In this paper we reformulate this problem in the language of conformal
field theory. Such a reformulation has several advantages: it leads to the
identification of quantum curves more efficiently, it proves in full generality
that they indeed have the structure of singular vectors, it enables
identification of corresponding eigenvalue models. Moreover, this approach can
be easily generalized to other underlying algebras. To illustrate these
statements we apply the conformal field theory formalism to the case of the
Ramond version of the super-Virasoro algebra. We derive two classes of
corresponding Ramond super-eigenvalue models, construct Ramond super-quantum
curves that have the structure of relevant singular vectors, and identify
underlying Ramond super-spectral curves. We also analyze Ramond multi-Penner
models and show that they lead to supersymmetric generalizations of BPZ
equations.
| [
{
"created": "Wed, 20 Dec 2017 07:56:01 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Ciosmak",
"Paweł",
""
],
[
"Hadasz",
"Leszek",
""
],
[
"Jaskólski",
"Zbigniew",
""
],
[
"Manabe",
"Masahide",
""
],
[
"Sułkowski",
"Piotr",
""
]
] | As we have shown in the previous work, using the formalism of matrix and eigenvalue models, to a given classical algebraic curve one can associate an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a certain (e.g. Virasoro or super-Virasoro) underlying algebra. In this paper we reformulate this problem in the language of conformal field theory. Such a reformulation has several advantages: it leads to the identification of quantum curves more efficiently, it proves in full generality that they indeed have the structure of singular vectors, it enables identification of corresponding eigenvalue models. Moreover, this approach can be easily generalized to other underlying algebras. To illustrate these statements we apply the conformal field theory formalism to the case of the Ramond version of the super-Virasoro algebra. We derive two classes of corresponding Ramond super-eigenvalue models, construct Ramond super-quantum curves that have the structure of relevant singular vectors, and identify underlying Ramond super-spectral curves. We also analyze Ramond multi-Penner models and show that they lead to supersymmetric generalizations of BPZ equations. |
1608.05908 | Dmitri Sorokin | Igor Bandos, Markus Heller, Sergei M. Kuzenko, Luca Martucci and
Dmitri Sorokin | The Goldstino Brane, the Constrained Superfields and Matter in N=1
Supergravity | Dedicated to the memory of Mario Tonin, 47 pages; v2,v3: comments and
references added, typos corrected | null | 10.1007/JHEP11(2016)109 | DFPD-2016/TH/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that different (brane and constrained superfield) descriptions for
the Volkov-Akulov goldstino coupled to N=1, D=4 supergravity with matter
produce similar wide classes of models with spontaneously broken local
supersymmetry and discuss the relation between the different formulations. As
with the formulations with irreducible constrained superfields, the geometric
goldstino brane approach has the advantage of being manifestly off-shell
supersymmetric without the need to introduce auxiliary fields. It provides an
explicit solution of the nilpotent superfield constraints and avoids issues
with non-Gaussian integration of auxiliary fields. We describe general
couplings of the supersymmetry breaking sector, including the goldstino and
other non-supersymmetric matter, to supergravity and matter supermultiplets.
Among various examples, we discuss a goldstino brane contribution to the
gravitino mass term and the supersymmetrization of the anti-D3-brane
contribution to the effective theory of type IIB warped flux compactifications.
| [
{
"created": "Sun, 21 Aug 2016 09:02:30 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2016 12:54:10 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Nov 2016 13:39:49 GMT",
"version": "v3"
}
] | 2016-12-21 | [
[
"Bandos",
"Igor",
""
],
[
"Heller",
"Markus",
""
],
[
"Kuzenko",
"Sergei M.",
""
],
[
"Martucci",
"Luca",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | We show that different (brane and constrained superfield) descriptions for the Volkov-Akulov goldstino coupled to N=1, D=4 supergravity with matter produce similar wide classes of models with spontaneously broken local supersymmetry and discuss the relation between the different formulations. As with the formulations with irreducible constrained superfields, the geometric goldstino brane approach has the advantage of being manifestly off-shell supersymmetric without the need to introduce auxiliary fields. It provides an explicit solution of the nilpotent superfield constraints and avoids issues with non-Gaussian integration of auxiliary fields. We describe general couplings of the supersymmetry breaking sector, including the goldstino and other non-supersymmetric matter, to supergravity and matter supermultiplets. Among various examples, we discuss a goldstino brane contribution to the gravitino mass term and the supersymmetrization of the anti-D3-brane contribution to the effective theory of type IIB warped flux compactifications. |
1412.2568 | Sheikh Shajidul Haque | Arpan Bhattacharyya, S. Shajidul Haque, Alvaro Veliz-Osorio | Renormalized Entanglement Entropy for BPS Black Branes | 6 pages, 4 figures; v2: Typos fixed, citation and clarifying text
added, version accepted in Physical Review D | Phys. Rev. D 91, 045026 (2015) | 10.1103/PhysRevD.91.045026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the renormalized entanglement entropy (REE) for BPS black
solutions in ${\cal N}=2$, 4d gauged supergravity. We find that this quantity
decreases monotonically with the size of the entangling region until it reaches
a critical point, then increases and approaches the entropy density of the
brane. This behavior can be understood as a consequence of the REE being driven
by two competing factors, namely entanglement and the mixedness of the black
brane. In the UV entanglement dominates, whereas in the IR the mixedness takes
over.
| [
{
"created": "Mon, 8 Dec 2014 14:05:36 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jan 2015 17:50:05 GMT",
"version": "v2"
}
] | 2015-02-24 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Haque",
"S. Shajidul",
""
],
[
"Veliz-Osorio",
"Alvaro",
""
]
] | We compute the renormalized entanglement entropy (REE) for BPS black solutions in ${\cal N}=2$, 4d gauged supergravity. We find that this quantity decreases monotonically with the size of the entangling region until it reaches a critical point, then increases and approaches the entropy density of the brane. This behavior can be understood as a consequence of the REE being driven by two competing factors, namely entanglement and the mixedness of the black brane. In the UV entanglement dominates, whereas in the IR the mixedness takes over. |
2407.07555 | Sergei Parkhomenko | Sergej Parkhomenko | Conformal bootstrap and Mirror symmetry of states in Gepner models | 18 pages, 0 figures. arXiv admin note: text overlap with
arXiv:2208.11612 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two explicit constructions of states in the orbifolds of a
product of Minimal $N=(2,2)$ models which are based on twisting by spectral
flow, mutual locality and operator algebra requirement. It is shown that these
two constructions lead to the Berglund-Hubsh-Krawitz dual orbifold groups which
define mirror pairs of isomorphic models. Then we generalize our construction
for the orbifolds of Gepner models of superstring compactification and
explicitly build IIA/IIB mirror map of the space of states of the superstrings
using light-cone gauge.
| [
{
"created": "Wed, 10 Jul 2024 11:29:27 GMT",
"version": "v1"
}
] | 2024-07-11 | [
[
"Parkhomenko",
"Sergej",
""
]
] | We consider two explicit constructions of states in the orbifolds of a product of Minimal $N=(2,2)$ models which are based on twisting by spectral flow, mutual locality and operator algebra requirement. It is shown that these two constructions lead to the Berglund-Hubsh-Krawitz dual orbifold groups which define mirror pairs of isomorphic models. Then we generalize our construction for the orbifolds of Gepner models of superstring compactification and explicitly build IIA/IIB mirror map of the space of states of the superstrings using light-cone gauge. |
2107.03744 | Tingfei Li | Bo Feng, Tingfei Li, Xiaodi Li | Analytic Tadpole Coefficients of One-loop Integrals | 37 pages, 2 figures | null | 10.1007/JHEP09(2021)081 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | One remaining problem of unitarity cut method for one-loop integral reduction
is that tadpole coefficients can not be straightforward obtained through this
way. In this paper, we reconsider the problem by applying differential
operators over an auxiliary vector $R$. Using differential operators, we
establish the corresponding differential equations for tadpole coefficients at
the first step. Then using the tensor structure of tadpole coefficients, we
transform the differential equations to the recurrence relations for
undetermined tensor coefficients. These recurrence relations can be solved
easily by iteration, and we can obtain analytic expressions of tadpole
coefficients for arbitrary one-loop integrals.
| [
{
"created": "Thu, 8 Jul 2021 10:43:05 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 2021 13:25:07 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Jul 2021 13:16:34 GMT",
"version": "v3"
},
{
"created": "Sat, 18 Sep 2021 01:57:03 GMT",
"version": "v4"
}
] | 2021-09-29 | [
[
"Feng",
"Bo",
""
],
[
"Li",
"Tingfei",
""
],
[
"Li",
"Xiaodi",
""
]
] | One remaining problem of unitarity cut method for one-loop integral reduction is that tadpole coefficients can not be straightforward obtained through this way. In this paper, we reconsider the problem by applying differential operators over an auxiliary vector $R$. Using differential operators, we establish the corresponding differential equations for tadpole coefficients at the first step. Then using the tensor structure of tadpole coefficients, we transform the differential equations to the recurrence relations for undetermined tensor coefficients. These recurrence relations can be solved easily by iteration, and we can obtain analytic expressions of tadpole coefficients for arbitrary one-loop integrals. |
1304.4319 | Takahiro Terada | Sergei V. Ketov, Takahiro Terada | New Actions for Modified Gravity and Supergravity | 15 pages, minor revision for version 2 (published version) | JHEP07(2013)127 | 10.1007/JHEP07(2013)127 | IPMU13-0076; ITP-UH -05/13; UT-13-11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the f(R) gravity action by including a generic dependence upon the
Weyl tensor, and further generalize it to supergravity by using the
super-curvature (R) and super-Weyl (W) chiral superfields in N=1 chiral curved
superspace. We argue that our (super)gravitational actions are the meaningful
extensions of the phenomenological f(R) gravity and its locally supersymmetric
generalization towards their UV completion and their embedding into superstring
theories. The proposed actions can be used for study of cosmological
perturbations and gravitational instabilities due to a nonvanishing Weyl tensor
in gravity and supergravity.
| [
{
"created": "Tue, 16 Apr 2013 03:30:17 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2013 09:52:50 GMT",
"version": "v2"
}
] | 2013-07-24 | [
[
"Ketov",
"Sergei V.",
""
],
[
"Terada",
"Takahiro",
""
]
] | We extend the f(R) gravity action by including a generic dependence upon the Weyl tensor, and further generalize it to supergravity by using the super-curvature (R) and super-Weyl (W) chiral superfields in N=1 chiral curved superspace. We argue that our (super)gravitational actions are the meaningful extensions of the phenomenological f(R) gravity and its locally supersymmetric generalization towards their UV completion and their embedding into superstring theories. The proposed actions can be used for study of cosmological perturbations and gravitational instabilities due to a nonvanishing Weyl tensor in gravity and supergravity. |
2112.01485 | Andrea Grigoletto | Andrea Grigoletto | Anomalies of fermionic CFTs via cobordism and bootstrap | 44 pages, 18 figures | null | null | null | hep-th cond-mat.str-el math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study constraints on the space of $d=2$ fermionic CFTs as a function of
non-perturbative anomalies exhibited under a fermionic discrete symmetry group
$G^f$, focusing our attention also on cases where $G^f$ is non-abelian or
presents a non-trivial twist of the $\mathbb{Z}^f_2$ subgroup. For the cases we
selected, among our results we find that modular bootstrap consistency bounds
predict the presence of relevant/marginal operators only for some groups and
anomalies. From this point of view, the appearance in the analysis of several
kinks around irrelevant operators with $\Delta>2$ means that for fermionic
systems with increasingly larger symmetry groups modular bootstrap is able to
give less constraining bounds than its bosonic counterpart. Within our analysis
we show how the anomaly constraints on fermionic CFTs can be effectively
recovered from the structure of the abelian subgroups of $G^f$. Finally, we
extend the previous surgery description of bordism invariants that describe
$3d$ abelian spin-TQFTs, in order to include the case of theories with
$\mathrm{Spin}\text{-}\mathbb{Z}^f_{2^{l+1}}$ structures.
| [
{
"created": "Thu, 2 Dec 2021 18:35:11 GMT",
"version": "v1"
}
] | 2021-12-03 | [
[
"Grigoletto",
"Andrea",
""
]
] | We study constraints on the space of $d=2$ fermionic CFTs as a function of non-perturbative anomalies exhibited under a fermionic discrete symmetry group $G^f$, focusing our attention also on cases where $G^f$ is non-abelian or presents a non-trivial twist of the $\mathbb{Z}^f_2$ subgroup. For the cases we selected, among our results we find that modular bootstrap consistency bounds predict the presence of relevant/marginal operators only for some groups and anomalies. From this point of view, the appearance in the analysis of several kinks around irrelevant operators with $\Delta>2$ means that for fermionic systems with increasingly larger symmetry groups modular bootstrap is able to give less constraining bounds than its bosonic counterpart. Within our analysis we show how the anomaly constraints on fermionic CFTs can be effectively recovered from the structure of the abelian subgroups of $G^f$. Finally, we extend the previous surgery description of bordism invariants that describe $3d$ abelian spin-TQFTs, in order to include the case of theories with $\mathrm{Spin}\text{-}\mathbb{Z}^f_{2^{l+1}}$ structures. |
2106.05993 | Carlos Andres Cardona Giraldo | Carlos Cardona, Cynthia Keeler, William Munizzi | Four-point correlation modular bootstrap for OPE densities | 25 pages, 2 figures. Version match published version | null | 10.1007/JHEP10(2021)194 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we apply the lightcone bootstrap to a four-point function of
scalars in two-dimensional conformal field theory. We include the entire
Virasoro symmetry and consider non-rational theories with a gap in the spectrum
from the vacuum and no conserved currents. For those theories, we compute the
large dimension limit (h/c>>1) of the OPE spectral decomposition of the
Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral
decomposition beyond h/c>>1. Finally, we estimate the corrections to the OPE
spectral densities from the inclusion of the lightest operator in the spectrum.
| [
{
"created": "Thu, 10 Jun 2021 18:18:27 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2021 17:21:07 GMT",
"version": "v2"
}
] | 2021-11-10 | [
[
"Cardona",
"Carlos",
""
],
[
"Keeler",
"Cynthia",
""
],
[
"Munizzi",
"William",
""
]
] | In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c>>1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c>>1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum. |
1608.04394 | Sera Cremonini | Sera Cremonini, Hai-Shan Liu, Hong Lu, C.N. Pope | DC Conductivities from Non-Relativistic Scaling Geometries with Momentum
Dissipation | 32 pages, 3 figures. Figures and references added. Discussion
modified | null | 10.1007/JHEP04(2017)009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a gravitational theory with two Maxwell fields, a dilatonic
scalar and spatially dependent axions. Black brane solutions to this theory are
Lifshitz-like and violate hyperscaling. Working with electrically charged
solutions, we calculate analytically the holographic DC conductivities when
both gauge fields are allowed to fluctuate. We discuss some of the subtleties
associated with relating the horizon to the boundary data, focusing on the role
of Lifshitz asymptotics and the presence of multiple gauge fields. The axionic
scalars lead to momentum dissipation in the dual holographic theory. Finally,
we examine the behavior of the DC conductivities as a function of temperature,
and comment on the cases in which one can obtain a linear resistivity.
| [
{
"created": "Mon, 15 Aug 2016 20:01:08 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2016 03:00:13 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Cremonini",
"Sera",
""
],
[
"Liu",
"Hai-Shan",
""
],
[
"Lu",
"Hong",
""
],
[
"Pope",
"C. N.",
""
]
] | We consider a gravitational theory with two Maxwell fields, a dilatonic scalar and spatially dependent axions. Black brane solutions to this theory are Lifshitz-like and violate hyperscaling. Working with electrically charged solutions, we calculate analytically the holographic DC conductivities when both gauge fields are allowed to fluctuate. We discuss some of the subtleties associated with relating the horizon to the boundary data, focusing on the role of Lifshitz asymptotics and the presence of multiple gauge fields. The axionic scalars lead to momentum dissipation in the dual holographic theory. Finally, we examine the behavior of the DC conductivities as a function of temperature, and comment on the cases in which one can obtain a linear resistivity. |
hep-th/9806245 | Zhang Wei | Yi-hong Gao and Wei Zhang | Evaporation of Schwarzschild Black Hole in the Large N Matrix Theory | 6 pages, no figure; minor changes, reference added | null | null | null | hep-th | null | By using the D0-brane cluster picture, we consider the Hawking radiation of
Schwarszchild black hole (SBH) in large N Matrix model. We get the correct
formula for the the Hawing evaporation rate. Our results give some evidence on
the Lorentz invariance of the physics of Matrix model.
| [
{
"created": "Tue, 30 Jun 1998 11:16:33 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jul 1998 01:36:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gao",
"Yi-hong",
""
],
[
"Zhang",
"Wei",
""
]
] | By using the D0-brane cluster picture, we consider the Hawking radiation of Schwarszchild black hole (SBH) in large N Matrix model. We get the correct formula for the the Hawing evaporation rate. Our results give some evidence on the Lorentz invariance of the physics of Matrix model. |
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