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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2012.09586 | Saul Ramos-Sanchez | Alexander Baur, Moritz Kade, Hans Peter Nilles, Saul Ramos-Sanchez,
Patrick K.S. Vaudrevange | Siegel modular flavor group and CP from string theory | 18 pages, 1 figure, 1 table; v2: some statements in the conclusions
clarified, matches version published in PLB | null | 10.1016/j.physletb.2021.136176 | TUM-HEP 1307/20 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the potential modular symmetries of heterotic string theory. For a
toroidal compactification with Wilson line modulus, we obtain the Siegel
modular group $\mathrm{Sp}(4,\mathbb{Z})$ that includes the modular symmetries
$\mathrm{SL}(2,\mathbb{Z})_T$ and $\mathrm{SL}(2,\mathbb{Z})_U$ (of the
"geometric" moduli $T$ and $U$) as well as mirror symmetry. In addition, string
theory provides a candidate for a CP-like symmetry that enhances the Siegel
modular group to $\mathrm{GSp}(4,\mathbb{Z})$.
| [
{
"created": "Thu, 17 Dec 2020 13:54:07 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Feb 2021 02:38:52 GMT",
"version": "v2"
}
] | 2021-03-03 | [
[
"Baur",
"Alexander",
""
],
[
"Kade",
"Moritz",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Ramos-Sanchez",
"Saul",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] | We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group $\mathrm{Sp}(4,\mathbb{Z})$ that includes the modular symmetries $\mathrm{SL}(2,\mathbb{Z})_T$ and $\mathrm{SL}(2,\mathbb{Z})_U$ (of the "geometric" moduli $T$ and $U$) as well as mirror symmetry. In addition, string theory provides a candidate for a CP-like symmetry that enhances the Siegel modular group to $\mathrm{GSp}(4,\mathbb{Z})$. |
2007.00646 | Marcus Spradlin | Jorge Mago, Anders Schreiber, Marcus Spradlin, Anastasia Volovich | Symbol Alphabets from Plabic Graphs | 19 pages; v2: minor corrections and improvements | null | 10.1007/JHEP10(2020)128 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are
known to contain certain cluster variables of Gr(4,n) as well as certain
algebraic functions of cluster variables. In this paper we suggest an algorithm
for computing these symbol alphabets from plabic graphs by solving matrix
equations of the form C Z = 0 to associate functions on Gr(m,n) to
parameterizations of certain cells of Gr(k,n) indexed by plabic graphs. For m=4
and n=8 we show that this association precisely reproduces the 18 algebraic
symbol letters of the two-loop NMHV eight-point amplitude from four plabic
graphs.
| [
{
"created": "Wed, 1 Jul 2020 17:54:28 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Oct 2020 02:18:16 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Mago",
"Jorge",
""
],
[
"Schreiber",
"Anders",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] | Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are known to contain certain cluster variables of Gr(4,n) as well as certain algebraic functions of cluster variables. In this paper we suggest an algorithm for computing these symbol alphabets from plabic graphs by solving matrix equations of the form C Z = 0 to associate functions on Gr(m,n) to parameterizations of certain cells of Gr(k,n) indexed by plabic graphs. For m=4 and n=8 we show that this association precisely reproduces the 18 algebraic symbol letters of the two-loop NMHV eight-point amplitude from four plabic graphs. |
1808.04070 | Eric R. Sharpe | Z. Chen, W. Gu, H. Parsian, E. Sharpe | Two-dimensional supersymmetric gauge theories with exceptional gauge
groups | 90 pages, LaTeX | Adv. Theor. Math. Phys. 24 (2020) 67-123 | 10.4310/ATMP.2020.v24.n1.a3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric
two-dimensional gauge theories to make predictions for two-dimensional
supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and
E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb
loci and Coulomb branch relations (quantum cohomology). We also discuss the
relationship between weight lattice normalizations and theta angle
periodicities in the proposal, and explore different conventions for the
mirrors. Finally, we discuss the behavior of pure gauge theories with
exceptional gauge groups under RG flow, and describe evidence that any pure
supersymmetric two-dimensional gauge theory with connected and simply-connected
semisimple gauge group flows in the IR to a free theory of as many twisted
chiral superfields as the rank of the gauge group, extending previous results
for SU, SO, and Sp gauge theories.
| [
{
"created": "Mon, 13 Aug 2018 06:05:08 GMT",
"version": "v1"
}
] | 2020-05-26 | [
[
"Chen",
"Z.",
""
],
[
"Gu",
"W.",
""
],
[
"Parsian",
"H.",
""
],
[
"Sharpe",
"E.",
""
]
] | We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb loci and Coulomb branch relations (quantum cohomology). We also discuss the relationship between weight lattice normalizations and theta angle periodicities in the proposal, and explore different conventions for the mirrors. Finally, we discuss the behavior of pure gauge theories with exceptional gauge groups under RG flow, and describe evidence that any pure supersymmetric two-dimensional gauge theory with connected and simply-connected semisimple gauge group flows in the IR to a free theory of as many twisted chiral superfields as the rank of the gauge group, extending previous results for SU, SO, and Sp gauge theories. |
hep-th/0410118 | Mingxing Luo | Mingxing Luo and Congkao Wen | Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills
Theories | Minor changes, published version | Phys.Lett. B609 (2005) 86-94 | 10.1016/j.physletb.2005.01.041 | null | hep-th hep-ph | null | One-loop scattering amplitudes in N=4 super Yang-Mills (SYM) theories are
analyzed in the paradigm of maximal helicity violating Feynman diagrams. There
are very limited number of loop integrals to be evaluated. For a process with n
external particles, there are only [n/2]-1 generically independent integrals.
Furthermore, the relations between leading N_c amplitudes A_{n;1} and
sub-leading amplitudes A_{n;c} are found to be identical to those obtained from
conventional field theory calculations, which can be interpreted as an indirect
support for the paradigm.
| [
{
"created": "Mon, 11 Oct 2004 13:23:11 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2004 07:43:13 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Feb 2005 08:19:29 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Luo",
"Mingxing",
""
],
[
"Wen",
"Congkao",
""
]
] | One-loop scattering amplitudes in N=4 super Yang-Mills (SYM) theories are analyzed in the paradigm of maximal helicity violating Feynman diagrams. There are very limited number of loop integrals to be evaluated. For a process with n external particles, there are only [n/2]-1 generically independent integrals. Furthermore, the relations between leading N_c amplitudes A_{n;1} and sub-leading amplitudes A_{n;c} are found to be identical to those obtained from conventional field theory calculations, which can be interpreted as an indirect support for the paradigm. |
hep-th/0105102 | Dmitri Sorokin | Dmitri Sorokin | Introduction to the Superembedding Description of Superbranes | LaTeX2e file, 11 pages. Invited lecture given at the XXXVII Karpacz
Winter School "New Developments in Fundamental Interactions Theories"
(February 6-15, 2000, Karpacz, Poland). To be published in Proceedings | null | 10.1063/1.1419318 | DFPD 01/TH/17 | hep-th | null | Basics of the geometrical formulation of the dynamics of supersymmetric
objects are considered and its relation to conventional formulations of
superbranes is discussed. In particular, we demonstrate how the kappa-symmetry
of the Green-Schwarz formulation shows up from local worldvolume supersymmetry,
and briefly discuss applications of the superembedding approach.
| [
{
"created": "Fri, 11 May 2001 12:18:15 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Sorokin",
"Dmitri",
""
]
] | Basics of the geometrical formulation of the dynamics of supersymmetric objects are considered and its relation to conventional formulations of superbranes is discussed. In particular, we demonstrate how the kappa-symmetry of the Green-Schwarz formulation shows up from local worldvolume supersymmetry, and briefly discuss applications of the superembedding approach. |
hep-th/0206045 | Clifford V. Johnson | Dominic Brecher, Clifford V. Johnson, Kenneth J. Lovis, Robert C.
Myers | Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n
Gauge Theory | 39 pages, LateX | JHEP 0210:008,2002 | 10.1088/1126-6708/2002/10/008 | DCPT-02/37 | hep-th | null | A certain conformally invariant N=1 supersymmetric SU(n) gauge theory has a
description as an infra-red fixed point obtained by deforming the N=4
supersymmetric Yang-Mills theory by giving a mass to one of its N=1 chiral
multiplets. We study the Penrose limit of the supergravity dual of the large n
limit of this N=1 gauge theory. The limit gives a pp-wave with R-R five-form
flux and both R-R and NS-NS three-form flux. We discover that this new solution
preserves twenty supercharges and that, in the light-cone gauge, string theory
on this background is exactly solvable. Correspondingly, this latter is the
stringy dual of a particular large charge limit of the large n gauge theory. We
are able to identify which operators in the field theory survive the limit to
form the string's ground state and some of the spacetime excitations. The full
string model, which we exhibit, contains a family of non-trivial predictions
for the properties of the gauge theory operators which survive the limit.
| [
{
"created": "Thu, 6 Jun 2002 17:52:19 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Brecher",
"Dominic",
""
],
[
"Johnson",
"Clifford V.",
""
],
[
"Lovis",
"Kenneth J.",
""
],
[
"Myers",
"Robert C.",
""
]
] | A certain conformally invariant N=1 supersymmetric SU(n) gauge theory has a description as an infra-red fixed point obtained by deforming the N=4 supersymmetric Yang-Mills theory by giving a mass to one of its N=1 chiral multiplets. We study the Penrose limit of the supergravity dual of the large n limit of this N=1 gauge theory. The limit gives a pp-wave with R-R five-form flux and both R-R and NS-NS three-form flux. We discover that this new solution preserves twenty supercharges and that, in the light-cone gauge, string theory on this background is exactly solvable. Correspondingly, this latter is the stringy dual of a particular large charge limit of the large n gauge theory. We are able to identify which operators in the field theory survive the limit to form the string's ground state and some of the spacetime excitations. The full string model, which we exhibit, contains a family of non-trivial predictions for the properties of the gauge theory operators which survive the limit. |
1905.10042 | Fabricio Augusto Barone Rangel PhD | M.F.X.P. Medeiros, F.E. Barone, F.A. Barone | Effects of the fermionic vacuum polarization in QED | 5 figures, 14 pages | Eur. Phys. J. C (2018) 78:12 | 10.1140/epjc/s10052-017-5498-x | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some effects of vacuum polarization in QED due to the presence of field
sources are investigated. We focus on effects with no counter-part in Maxwell
electrodynamics. The the Uehling interaction energy between two stationary
point-like charges is calculated exactly in terms of Meijer-G functions.
Effects induced on a hydrogen atom by the vacuum polarization in the vicinity
of a Dirac string are considered. We also calculate the interaction between two
parallel Dirac strings and corrections to the energy levels of a quantum
particle constrained to move on a ring circumventing a solenoid.
| [
{
"created": "Fri, 24 May 2019 05:44:48 GMT",
"version": "v1"
}
] | 2019-05-27 | [
[
"Medeiros",
"M. F. X. P.",
""
],
[
"Barone",
"F. E.",
""
],
[
"Barone",
"F. A.",
""
]
] | Some effects of vacuum polarization in QED due to the presence of field sources are investigated. We focus on effects with no counter-part in Maxwell electrodynamics. The the Uehling interaction energy between two stationary point-like charges is calculated exactly in terms of Meijer-G functions. Effects induced on a hydrogen atom by the vacuum polarization in the vicinity of a Dirac string are considered. We also calculate the interaction between two parallel Dirac strings and corrections to the energy levels of a quantum particle constrained to move on a ring circumventing a solenoid. |
0711.0939 | Antonio Capolupo Dr | M.Blasone, A.Capolupo, S.Capozziello, G.Vitiello | Neutrino mixing, flavor states and dark energy | 5 pages. Presented at Roma International Conference on Astro-Particle
physics (RICAP'07), Roma, Italy, 20 - 22 June 2007 | Nucl.Instrum.Meth.A588:272-275,2008 | 10.1016/j.nima.2008.01.050 | null | hep-th | null | We shortly summarize the quantum field theory formalism for the neutrino
mixing and report on recent results showing that the vacuum condensate induced
by neutrino mixing can be interpreted as a dark energy component of the
Universe.
| [
{
"created": "Tue, 6 Nov 2007 18:11:34 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Blasone",
"M.",
""
],
[
"Capolupo",
"A.",
""
],
[
"Capozziello",
"S.",
""
],
[
"Vitiello",
"G.",
""
]
] | We shortly summarize the quantum field theory formalism for the neutrino mixing and report on recent results showing that the vacuum condensate induced by neutrino mixing can be interpreted as a dark energy component of the Universe. |
2211.05144 | David Berenstein | David Berenstein, Robinson Mancilla | Aspects of thermal one-point functions and response functions in AdS
Black holes | v2: references added, minor typos fixed | null | 10.1103/PhysRevD.107.126010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of analytically computing the one point functions for
scalar fields in planar AdS black holes of arbitrary dimension, which are
sourced by the Weyl squared tensor. We analyze the problem in terms of power
series expansions around the boundary using the method of Frobenius. We clarify
the pole structure of the final answer in terms of operator mixing, as argued
previously by Grinberg and Maldacena. We generalize the techniques to also
obtain analytic results for slowly modulated spatially varying sources to first
non-trivial order in the wave vector for arbitrary dimension. We also study the
first order corrections to the one point function of the global AdS black hole
at large mass, where we perturb in terms that correspond to the curvature of
the horizon.
| [
{
"created": "Wed, 9 Nov 2022 19:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Feb 2023 17:27:39 GMT",
"version": "v2"
}
] | 2023-06-28 | [
[
"Berenstein",
"David",
""
],
[
"Mancilla",
"Robinson",
""
]
] | We revisit the problem of analytically computing the one point functions for scalar fields in planar AdS black holes of arbitrary dimension, which are sourced by the Weyl squared tensor. We analyze the problem in terms of power series expansions around the boundary using the method of Frobenius. We clarify the pole structure of the final answer in terms of operator mixing, as argued previously by Grinberg and Maldacena. We generalize the techniques to also obtain analytic results for slowly modulated spatially varying sources to first non-trivial order in the wave vector for arbitrary dimension. We also study the first order corrections to the one point function of the global AdS black hole at large mass, where we perturb in terms that correspond to the curvature of the horizon. |
1707.04197 | James T. Liu | James T. Liu, Leopoldo A. Pando Zayas, Vimal Rathee and Wenli Zhao | Toward Microstate Counting Beyond Large N in Localization and the Dual
One-loop Quantum Supergravity | 17 pages, 2 figures, discussion improved | JHEP01(2018)026 | 10.1007/JHEP01(2018)026 | MCTP-17-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The topologically twisted index for ABJM theory with gauge group $U(N)_k
\times U(N)_{-k}$ has recently been shown, in the large-$N$ limit, to reproduce
the Bekenstein-Hawking entropy of certain magnetically charged asymptotically
AdS$_4$ black holes. We numerically study the index beyond the large-$N$ limit
and provide evidence that it contains a subleading logarithmic term of the form
$-1/2\log N$. On the holographic side, this term naturally arises from a
one-loop computation. However, we find that the contribution coming from the
near horizon states does not reproduce the field theory answer. We give some
possible reasons for this apparent discrepancy.
| [
{
"created": "Thu, 13 Jul 2017 16:16:07 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2017 13:10:45 GMT",
"version": "v2"
}
] | 2018-01-10 | [
[
"Liu",
"James T.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Rathee",
"Vimal",
""
],
[
"Zhao",
"Wenli",
""
]
] | The topologically twisted index for ABJM theory with gauge group $U(N)_k \times U(N)_{-k}$ has recently been shown, in the large-$N$ limit, to reproduce the Bekenstein-Hawking entropy of certain magnetically charged asymptotically AdS$_4$ black holes. We numerically study the index beyond the large-$N$ limit and provide evidence that it contains a subleading logarithmic term of the form $-1/2\log N$. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. We give some possible reasons for this apparent discrepancy. |
hep-th/0304128 | Brian Wecht | Ken Intriligator and Brian Wecht | The Exact Superconformal R-Symmetry Maximizes a | 23 pages, 1 figure. v2: added comments. v3: added comments | Nucl.Phys.B667:183-200,2003 | 10.1016/S0550-3213(03)00459-0 | UCSD-PTH-03-02 | hep-th | null | An exact and general solution is presented for a previously open problem. We
show that the superconformal R-symmetry of any 4d SCFT is exactly and uniquely
determined by a maximization principle: it is the R-symmetry, among all
possibilities, which (locally) maximizes the combination of 't Hooft anomalies
a_{trial}(R) \equiv (9 Tr R^3-3 Tr R)/32. The maximal value of a_{trial} is
then, by a result of Anselmi et. al., the central charge \it{a} of the SCFT.
Our a_{trial} maximization principle almost immediately ensures that the
central charge \it{a} decreases upon any RG flow, since relevant deformations
force a_{trial} to be maximized over a subset of the previously possible
R-symmetries. Using a_{trial} maximization, we find the exact superconformal
R-symmetry (and thus the exact anomalous dimensions of all chiral operators) in
a variety of previously mysterious 4d N=1 SCFTs. As a check, we verify that our
exact results reproduce the perturbative anomalous dimensions in all
perturbatively accessible RG fixed points. Our result implies that N =1 SCFTs
are algebraic: the exact scaling dimensions of all chiral primary operators,
and the central charges \it{a} and \it{c}, are always algebraic numbers.
| [
{
"created": "Tue, 15 Apr 2003 02:16:13 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 2003 19:00:16 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jul 2003 21:00:13 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Intriligator",
"Ken",
""
],
[
"Wecht",
"Brian",
""
]
] | An exact and general solution is presented for a previously open problem. We show that the superconformal R-symmetry of any 4d SCFT is exactly and uniquely determined by a maximization principle: it is the R-symmetry, among all possibilities, which (locally) maximizes the combination of 't Hooft anomalies a_{trial}(R) \equiv (9 Tr R^3-3 Tr R)/32. The maximal value of a_{trial} is then, by a result of Anselmi et. al., the central charge \it{a} of the SCFT. Our a_{trial} maximization principle almost immediately ensures that the central charge \it{a} decreases upon any RG flow, since relevant deformations force a_{trial} to be maximized over a subset of the previously possible R-symmetries. Using a_{trial} maximization, we find the exact superconformal R-symmetry (and thus the exact anomalous dimensions of all chiral operators) in a variety of previously mysterious 4d N=1 SCFTs. As a check, we verify that our exact results reproduce the perturbative anomalous dimensions in all perturbatively accessible RG fixed points. Our result implies that N =1 SCFTs are algebraic: the exact scaling dimensions of all chiral primary operators, and the central charges \it{a} and \it{c}, are always algebraic numbers. |
hep-th/0310299 | Olaf Lechtenfeld | Evgeny Ivanov, Sergey Krivonos, Olaf Lechtenfeld | N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;\alpha) | 1+21 pages; v2: reference added, version to appear in Class. Quantum
Grav | Class.Quant.Grav. 21 (2004) 1031-1050 | 10.1088/0264-9381/21/4/021 | null | hep-th | null | Proceeding from nonlinear realizations of the most general N=4, d=1
superconformal symmetry associated with the supergroup D(2,1;\alpha), we
construct all known and two new off-shell N=4, d=1 supermultiplets as properly
constrained N=4 superfields. We find plenty of nonlinear interrelations between
the multiplets constructed and present a few examples of invariant superfield
actions for them. The superconformal transformation properties of these
multiplets are explicit within our method.
| [
{
"created": "Fri, 31 Oct 2003 17:39:59 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2003 16:08:56 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ivanov",
"Evgeny",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | Proceeding from nonlinear realizations of the most general N=4, d=1 superconformal symmetry associated with the supergroup D(2,1;\alpha), we construct all known and two new off-shell N=4, d=1 supermultiplets as properly constrained N=4 superfields. We find plenty of nonlinear interrelations between the multiplets constructed and present a few examples of invariant superfield actions for them. The superconformal transformation properties of these multiplets are explicit within our method. |
1910.03567 | Paulo Carvalho | P. R. S. Carvalho, M. I. Sena-Junior | Influence of exact Lorentz-violating mechanism on the critical exponents
for massive $q$-deformed $\lambda\phi^{4}$ scalar field theory | 13 pages, 14 figures | Int. J. Mod. Phys. D 28, 1950105 (2019) | 10.1142/S0218271819501050 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We probe the influence of Lorentz-violating mechanism, treated exactly, on
the radiative quantum corrections to critical exponents for massive
$q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. We attain that
task by employing three distinct and independent field-theoretic
renormalization group methods. Firstly we compute the critical exponents up to
the finite next-to-leading order for then generalizing the results for any loop
level. We show that the $q$-deformed critical exponents are insensible to the
Lorentz symmetry breaking mechanism thus agreeing with the universality
hypothesis.
| [
{
"created": "Tue, 8 Oct 2019 17:56:14 GMT",
"version": "v1"
}
] | 2019-10-09 | [
[
"Carvalho",
"P. R. S.",
""
],
[
"Sena-Junior",
"M. I.",
""
]
] | We probe the influence of Lorentz-violating mechanism, treated exactly, on the radiative quantum corrections to critical exponents for massive $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. We attain that task by employing three distinct and independent field-theoretic renormalization group methods. Firstly we compute the critical exponents up to the finite next-to-leading order for then generalizing the results for any loop level. We show that the $q$-deformed critical exponents are insensible to the Lorentz symmetry breaking mechanism thus agreeing with the universality hypothesis. |
hep-th/0410013 | Patrick Dorey | Patrick Dorey, Adam Millican-Slater, Roberto Tateo | Beyond the WKB approximation in PT-symmetric quantum mechanics | 29 pages, Latex, many figures. v2: sign typos fixed, and a reference
added | J.Phys. A38 (2005) 1305-1332 | 10.1088/0305-4470/38/6/010 | DCPT-04/31, SPhT-T04/050 | hep-th cond-mat.stat-mech math-ph math.MP quant-ph | null | The mergings of energy levels associated with the breaking of PT symmetry in
the model of Bender and Boettcher, and in its generalisation to incorporate a
centrifugal term, are analysed in detail. Even though conventional WKB
techniques fail, it is shown how the ODE/IM correspondence can be used to
obtain a systematic approximation scheme which captures all previously-observed
features. Nonperturbative effects turn out to play a crucial role, governing
the behaviour of almost all levels once the symmetry-breaking transition has
been passed. In addition, a novel treatment of the radial Schrodinger equation
is used to recover the values of local and non-local conserved charges in the
related integrable quantum field theories, without any need for resummation
even when the angular momentum is nonzero.
| [
{
"created": "Fri, 1 Oct 2004 15:18:13 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2004 13:53:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dorey",
"Patrick",
""
],
[
"Millican-Slater",
"Adam",
""
],
[
"Tateo",
"Roberto",
""
]
] | The mergings of energy levels associated with the breaking of PT symmetry in the model of Bender and Boettcher, and in its generalisation to incorporate a centrifugal term, are analysed in detail. Even though conventional WKB techniques fail, it is shown how the ODE/IM correspondence can be used to obtain a systematic approximation scheme which captures all previously-observed features. Nonperturbative effects turn out to play a crucial role, governing the behaviour of almost all levels once the symmetry-breaking transition has been passed. In addition, a novel treatment of the radial Schrodinger equation is used to recover the values of local and non-local conserved charges in the related integrable quantum field theories, without any need for resummation even when the angular momentum is nonzero. |
1806.09592 | Clay C\'ordova | Clay Cordova and Thomas T. Dumitrescu | Candidate Phases for SU(2) Adjoint QCD$_4$ with Two Flavors from
$\mathcal{N}=2$ Supersymmetric Yang-Mills Theory | 94 pages, 1 figure | SciPost Phys. 16, 139 (2024) | 10.21468/SciPostPhys.16.5.139 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl
fermion flavors, which has an $SU(2)_R$ chiral symmetry. The infrared behavior
of this theory is not firmly established. We explore candidate infrared phases
by embedding adjoint QCD into $\mathcal{N}=2$ supersymmetric Yang-Mills theory
deformed by a supersymmetry-breaking scalar mass M that preserves all global
symmetries and 't Hooft anomalies. This includes 't Hooft anomalies that are
only visible when the theory is placed on manifolds that do not admit a spin
structure. The consistency of this procedure is guaranteed by a nonabelian
spin-charge relation involving the $SU(2)_R$ symmetry that is familiar from
topologically twisted $\mathcal{N}=2$ theories. Since every vacuum on the
Coulomb branch of the $\mathcal{N}=2$ theory necessarily matches all 't Hooft
anomalies, we can generate candidate phases for adjoint QCD by deforming the
theories in these vacua while preserving all symmetries and 't Hooft anomalies.
One such deformation is the supersymmetry-breaking scalar mass M itself, which
can be reliably analyzed when M is small. In this regime it gives rise to an
exotic Coulomb phase without chiral symmetry breaking. By contrast, the theory
near the monopole and dyon points can be deformed to realize a candidate phase
with monopole-induced confinement and chiral symmetry breaking. The low-energy
theory consists of two copies of a $\mathbb{CP}^1$ sigma model, which we
analyze in detail. Certain topological couplings that are likely to be present
in this $\mathbb{CP}^1$ model turn the confining solitonic string of the model
into a topological insulator. We also examine the behavior of various candidate
phases under fermion mass deformations. We speculate on the possible large-M
behavior of the deformed $\mathcal{N}=2$ theory and conjecture that the
$\mathbb{CP}^1$ phase eventually becomes dominant.
| [
{
"created": "Mon, 25 Jun 2018 17:41:17 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Mar 2024 05:02:29 GMT",
"version": "v2"
}
] | 2024-05-29 | [
[
"Cordova",
"Clay",
""
],
[
"Dumitrescu",
"Thomas T.",
""
]
] | We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl fermion flavors, which has an $SU(2)_R$ chiral symmetry. The infrared behavior of this theory is not firmly established. We explore candidate infrared phases by embedding adjoint QCD into $\mathcal{N}=2$ supersymmetric Yang-Mills theory deformed by a supersymmetry-breaking scalar mass M that preserves all global symmetries and 't Hooft anomalies. This includes 't Hooft anomalies that are only visible when the theory is placed on manifolds that do not admit a spin structure. The consistency of this procedure is guaranteed by a nonabelian spin-charge relation involving the $SU(2)_R$ symmetry that is familiar from topologically twisted $\mathcal{N}=2$ theories. Since every vacuum on the Coulomb branch of the $\mathcal{N}=2$ theory necessarily matches all 't Hooft anomalies, we can generate candidate phases for adjoint QCD by deforming the theories in these vacua while preserving all symmetries and 't Hooft anomalies. One such deformation is the supersymmetry-breaking scalar mass M itself, which can be reliably analyzed when M is small. In this regime it gives rise to an exotic Coulomb phase without chiral symmetry breaking. By contrast, the theory near the monopole and dyon points can be deformed to realize a candidate phase with monopole-induced confinement and chiral symmetry breaking. The low-energy theory consists of two copies of a $\mathbb{CP}^1$ sigma model, which we analyze in detail. Certain topological couplings that are likely to be present in this $\mathbb{CP}^1$ model turn the confining solitonic string of the model into a topological insulator. We also examine the behavior of various candidate phases under fermion mass deformations. We speculate on the possible large-M behavior of the deformed $\mathcal{N}=2$ theory and conjecture that the $\mathbb{CP}^1$ phase eventually becomes dominant. |
0801.3358 | Mohammad R. Garousi | Mohammad R. Garousi, Hanif Golchin | On higher derivative corrections of tachyon action | 22 pages, 1 figure, latex file, V2: minor change in notation | Nucl.Phys.B800:547-564,2008 | 10.1016/j.nuclphysb.2008.03.005 | null | hep-th | null | We have examined the momentum expansion of the disk level S-matrix element of
two tachyons and two gauge fields to find, up to on-shell ambiguity, the
couplings of these fields in the world volume theory of N coincident non-BPS
D-branes to all order of $\alpha'$. Using the proposal that the action of
D-brane-anti-D-brane is given by the projection of the action of two non-BPS
D-branes with $(-1)^{F_L}$, we find the corresponding couplings in the world
volume theory of the brane-anti-brane system. Using these infinite tower of
couplings, we then calculate the massless pole of the scattering amplitude of
one RR field, two tachyons and one gauge field in the brane-anti-brane theory.
We find that the massless pole of the field theory amplitude is exactly equal
to the massless pole of the disk level S-matrix element of one RR, two tachyons
and one gauge field to all order of $\alpha'$.
| [
{
"created": "Tue, 22 Jan 2008 13:21:32 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2008 14:31:58 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Garousi",
"Mohammad R.",
""
],
[
"Golchin",
"Hanif",
""
]
] | We have examined the momentum expansion of the disk level S-matrix element of two tachyons and two gauge fields to find, up to on-shell ambiguity, the couplings of these fields in the world volume theory of N coincident non-BPS D-branes to all order of $\alpha'$. Using the proposal that the action of D-brane-anti-D-brane is given by the projection of the action of two non-BPS D-branes with $(-1)^{F_L}$, we find the corresponding couplings in the world volume theory of the brane-anti-brane system. Using these infinite tower of couplings, we then calculate the massless pole of the scattering amplitude of one RR field, two tachyons and one gauge field in the brane-anti-brane theory. We find that the massless pole of the field theory amplitude is exactly equal to the massless pole of the disk level S-matrix element of one RR, two tachyons and one gauge field to all order of $\alpha'$. |
hep-th/9909158 | A. Demichev | Masud Chaichian and Kazuhiko Nishijima | An Essay on Color Confinement | LaTeX, 10 pages | null | null | HIP-1999-60/TH | hep-th | null | Color confinement is a consequence of an unbroken non-Abelian gauge symmetry
and the resulting asymptotic freedom inherent in quantum chromodynamics. A
qualitative sketch of its proof is presented.
| [
{
"created": "Wed, 22 Sep 1999 16:44:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chaichian",
"Masud",
""
],
[
"Nishijima",
"Kazuhiko",
""
]
] | Color confinement is a consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom inherent in quantum chromodynamics. A qualitative sketch of its proof is presented. |
0903.0627 | Julian Sonner | Julian Sonner | A Rotating Holographic Superconductor | 23 pages, 5 figures, version 2: references added | Phys.Rev.D80:084031,2009 | 10.1103/PhysRevD.80.084031 | MIT-CTP 4019 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we initiate the study of SSB in 3+1 dimensional rotating,
charged, asymptotically AdS black holes. The theory living on their boundary, R
x S^2, has the interpretation of a 2+1 dimensional rotating holographic
superconductor. We study the appearance of a marginal mode of the condensate as
the temperature is decreased. We find that the transition temperature depends
on the rotation. At temperatures just below T_c, the transition temperature at
zero rotation, there exists a critical value of the rotation, which destroys
the superconducting order. This behaviour is analogous to the emergence of a
critical applied magnetic field and we show that the superconductor in fact
produces the expected London field in the planar limit.
| [
{
"created": "Tue, 3 Mar 2009 21:27:04 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2009 15:43:51 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Sonner",
"Julian",
""
]
] | In this paper we initiate the study of SSB in 3+1 dimensional rotating, charged, asymptotically AdS black holes. The theory living on their boundary, R x S^2, has the interpretation of a 2+1 dimensional rotating holographic superconductor. We study the appearance of a marginal mode of the condensate as the temperature is decreased. We find that the transition temperature depends on the rotation. At temperatures just below T_c, the transition temperature at zero rotation, there exists a critical value of the rotation, which destroys the superconducting order. This behaviour is analogous to the emergence of a critical applied magnetic field and we show that the superconductor in fact produces the expected London field in the planar limit. |
1406.5467 | Jos\'e Weberszpil | Jos\'e Weberszpil and Jos\'e Abdalla Helay\"el-Neto | On the Zitterbewegung Transient Regime in a Coarse-Grained Space-Time | 11 pages, 1 figure. This paper has been published in J. Adv. Phys. 7
(2015) 1440 | J. Adv. Phys. 7 (2015) 1440 | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present contribution, by studying a fractional version of Dirac's
equation for the electron, we show that the phenomenon of Zitterbewegung in a
coarse-grained medium exhibits a transient oscillatory behavior, rather than a
purely oscillatory regime, as it occurs in the integer case, $\alpha=1$. Our
result suggests that, in such systems, the Zitterbewegung-type term related to
a trembling motion of a quasiparticle is tamed by its complex interactions with
other particles and the medium. This can justify the difficulties in the
observation of this interesting phenomenon. The possibility that the
Zitterbewegung be accompanied by a damping factor supports the viewpoint of
particle substructures in Quantum Mechanics.
| [
{
"created": "Fri, 20 Jun 2014 17:26:24 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2015 11:59:33 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Mar 2015 11:25:13 GMT",
"version": "v3"
}
] | 2016-02-22 | [
[
"Weberszpil",
"José",
""
],
[
"Helayël-Neto",
"José Abdalla",
""
]
] | In the present contribution, by studying a fractional version of Dirac's equation for the electron, we show that the phenomenon of Zitterbewegung in a coarse-grained medium exhibits a transient oscillatory behavior, rather than a purely oscillatory regime, as it occurs in the integer case, $\alpha=1$. Our result suggests that, in such systems, the Zitterbewegung-type term related to a trembling motion of a quasiparticle is tamed by its complex interactions with other particles and the medium. This can justify the difficulties in the observation of this interesting phenomenon. The possibility that the Zitterbewegung be accompanied by a damping factor supports the viewpoint of particle substructures in Quantum Mechanics. |
1009.5209 | Hiroaki Nakajima | Yoonbai Kim, O-Kab Kwon, Hiroaki Nakajima, D. D. Tolla | Interaction between M2-branes and Bulk Form Fields | 30 pages, version to appear in JHEP | JHEP 1011:069,2010 | 10.1007/JHEP11(2010)069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the interaction terms between the world-volume fields of
multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory
with U($N$)$\times$U($N$) gauge symmetry. A consistency check is made in the
simplest case of a single M2-brane, i.e, our construction matches the known
effective action of M2-brane coupled to antisymmetric 3-form field. We show
that when dimensionally reduced, our couplings coincide with the effective
action of D2-branes coupled to R-R 3- and 5-form fields in type IIA string
theory. We also comment on the relation between a coupling with a specific
6-form field configuration and the supersymmetry preserving mass deformation in
ABJM theory.
| [
{
"created": "Mon, 27 Sep 2010 10:02:38 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2010 08:04:40 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Nov 2010 11:59:06 GMT",
"version": "v3"
}
] | 2011-03-17 | [
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Tolla",
"D. D.",
""
]
] | We construct the interaction terms between the world-volume fields of multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory with U($N$)$\times$U($N$) gauge symmetry. A consistency check is made in the simplest case of a single M2-brane, i.e, our construction matches the known effective action of M2-brane coupled to antisymmetric 3-form field. We show that when dimensionally reduced, our couplings coincide with the effective action of D2-branes coupled to R-R 3- and 5-form fields in type IIA string theory. We also comment on the relation between a coupling with a specific 6-form field configuration and the supersymmetry preserving mass deformation in ABJM theory. |
1504.00106 | Davood Momeni Dr | Davood Momeni, Muhammad Raza, Ratbay Myrzakulov | Holographic Entanglement Entropy for noncommutative Anti-de Sitter space | 6 pages, Version accepted for publication in "Modern Physics Letters
A" | Mod.Phys.Lett. A31 (2016) no.12, 1650073 | 10.1142/S0217732316500735 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A metric is proposed to explore the noncommutative form of the Anti-de Sitter
space due to quantum effects. It has been proved that the non commutativity in
AdS space induces a single component gravitoelectric field. The holographic
Ryu-Takayanagi (RT) algorithm is then applied to compute the entanglement
entropy in dual $CFT_2$. This calculation can be exploited to compute UV-IR
cutoff dependent central charge of the certain noncommutative $CFT_2$. This non
commutative computation of the entanglement entropy can be interpreted in the
form of the surface/state correspondence. We have shown that non commutativity
increases the dimension of the effective Hilbert space of the dual CFT.
| [
{
"created": "Wed, 1 Apr 2015 05:27:32 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2016 04:12:00 GMT",
"version": "v2"
}
] | 2018-10-09 | [
[
"Momeni",
"Davood",
""
],
[
"Raza",
"Muhammad",
""
],
[
"Myrzakulov",
"Ratbay",
""
]
] | A metric is proposed to explore the noncommutative form of the Anti-de Sitter space due to quantum effects. It has been proved that the non commutativity in AdS space induces a single component gravitoelectric field. The holographic Ryu-Takayanagi (RT) algorithm is then applied to compute the entanglement entropy in dual $CFT_2$. This calculation can be exploited to compute UV-IR cutoff dependent central charge of the certain noncommutative $CFT_2$. This non commutative computation of the entanglement entropy can be interpreted in the form of the surface/state correspondence. We have shown that non commutativity increases the dimension of the effective Hilbert space of the dual CFT. |
1304.3289 | Shin-Ichiro Kumamoto | Ken-Ichi Aoki, Shin-Ichiro Kumamoto, Daisuke Sato | Uniqueness and Significance of Weak Solution of Non-perturbative
Renormalization Group Equation to Analyze Dynamical Chiral Symmetry Breaking | 7 pages, 18 figures, contribution to SCGT12 "KMI-GCOE Workshop on
Strong Coupling Gauge Theories in the LHC Perspective", 4-7 Dec. 2012, Nagoya
University | null | 10.1142/9789814566254_0049 | KANAZAWA-13-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose quite a new method of analyzing the dynamical chiral symmetry
breaking in gauge theories. Starting with the non-perturbative renormalization
group equation for the Wilsonian fermion potential, we define the weak solution
of it in order to mathematically authorize solutions with singularity. The weak
solution is obtained uniquely and it successfully predicts the physically
correct vacuum, chiral condensates, dynamical mass, through its
auto-convexizing power for the effective potential. Thus it works perfectly
even for the first order phase transition in the finite density QCD.
| [
{
"created": "Thu, 11 Apr 2013 13:30:17 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Aoki",
"Ken-Ichi",
""
],
[
"Kumamoto",
"Shin-Ichiro",
""
],
[
"Sato",
"Daisuke",
""
]
] | We propose quite a new method of analyzing the dynamical chiral symmetry breaking in gauge theories. Starting with the non-perturbative renormalization group equation for the Wilsonian fermion potential, we define the weak solution of it in order to mathematically authorize solutions with singularity. The weak solution is obtained uniquely and it successfully predicts the physically correct vacuum, chiral condensates, dynamical mass, through its auto-convexizing power for the effective potential. Thus it works perfectly even for the first order phase transition in the finite density QCD. |
hep-th/9309010 | Malte Henkel | Malte Henkel and Gunter Sch\"utz | Boundary-Induced Phase Transitions in Equilibrium and Non-Equilibrium
Systems | Latex 10pp, Geneva preprint UGVA-DPT 1993/07-826 | Physica A206, 187-195 (1994) | 10.1016/0378-4371(94)90124-4 | null | hep-th cond-mat hep-lat nlin.SI solv-int | null | Boundary conditions may change the phase diagram of non-equilibrium
statistical systems like the one-dimensional asymmetric simple exclusion
process with and without particle number conservation. Using the quantum
Hamiltonian approach, the model is mapped onto an XXZ quantum chain and solved
using the Bethe ansatz. This system is related to a two-dimensional vertex
model in thermal equilibrium. The phase transition caused by a point-like
boundary defect in the dynamics of the one-dimensional exclusion model is in
the same universality class as a continous (bulk) phase transition of the
two-dimensional vertex model caused by a line defect at its boundary.
(hep-th/yymmnnn)
| [
{
"created": "Wed, 1 Sep 1993 17:14:37 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Henkel",
"Malte",
""
],
[
"Schütz",
"Gunter",
""
]
] | Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle number conservation. Using the quantum Hamiltonian approach, the model is mapped onto an XXZ quantum chain and solved using the Bethe ansatz. This system is related to a two-dimensional vertex model in thermal equilibrium. The phase transition caused by a point-like boundary defect in the dynamics of the one-dimensional exclusion model is in the same universality class as a continous (bulk) phase transition of the two-dimensional vertex model caused by a line defect at its boundary. (hep-th/yymmnnn) |
hep-th/0410047 | Chen-Gang Zhou | Chengang Zhou | On Ricci flat Supermanifolds | 9 pages; typos corrected | JHEP0502:004,2005 | 10.1088/1126-6708/2005/02/004 | UK-04-22 | hep-th | null | We study the Ricci flatness condition on generic supermanifolds. It has been
found recently that when the fermionic complex dimension of the supermanifold
is one the vanishing of the super-Ricci curvature implies the bosonic
submanifold has vanishing scalar curvature. We prove that this phenomena is
only restricted to fermionic complex dimension one. Further we conjecture that
for complex fermionic dimension larger than one the Calabi-Yau theorem holds
for supermanifolds.
| [
{
"created": "Tue, 5 Oct 2004 18:55:41 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2004 17:49:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Zhou",
"Chengang",
""
]
] | We study the Ricci flatness condition on generic supermanifolds. It has been found recently that when the fermionic complex dimension of the supermanifold is one the vanishing of the super-Ricci curvature implies the bosonic submanifold has vanishing scalar curvature. We prove that this phenomena is only restricted to fermionic complex dimension one. Further we conjecture that for complex fermionic dimension larger than one the Calabi-Yau theorem holds for supermanifolds. |
hep-th/0104195 | Andrei Smilga | A.V. Smilga | Tenacious Domain Walls in Supersymmetric QCD | 14 pages, 5 figures. Some extra discussion and references added | Phys.Rev.D64:125008,2001 | 10.1103/PhysRevD.64.125008 | SUBATECH-01-07 | hep-th | null | We study the structure of the tenacious (existing for all values of masses of
the matter fields) BPS domain walls interpolating between different chirally
asymmetric vacua in supersymmetric QCD in the limit of large masses.
We show that the wall consists in this case of three layers: two outer layers
form a ``coat'' with the characteristic size determined by \Lambda_{SYM} and
there is also the core with width of order of inverse mass. The core always
carries a significant fraction of the total wall energy. This fraction depends
on $N_f$ and on the ``windings'' of the matter fields.
| [
{
"created": "Mon, 23 Apr 2001 15:40:50 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2001 12:42:54 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Smilga",
"A. V.",
""
]
] | We study the structure of the tenacious (existing for all values of masses of the matter fields) BPS domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD in the limit of large masses. We show that the wall consists in this case of three layers: two outer layers form a ``coat'' with the characteristic size determined by \Lambda_{SYM} and there is also the core with width of order of inverse mass. The core always carries a significant fraction of the total wall energy. This fraction depends on $N_f$ and on the ``windings'' of the matter fields. |
1405.7218 | Peter M. Lavrov | Igor A. Batalin, Peter M. Lavrov, Igor V. Tyutin | A systematic study of finite BRST-BFV transformations in
$Sp(2)$-extended generalized Hamiltonian formalism | 12 pages; published version. arXiv admin note: text overlap with
arXiv:1404.4154 | Int. J. Mod. Phys. A29 (2014) 1450128 | 10.1142/S0217751X14501280 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study systematically finite BRST-BFV transformations in $Sp(2)$-extended
generalized Hamiltonian formalism. We present explicitly their Jacobians and
the form of a solution to the compensation equation determining the functional
field dependence of finite Fermionic parameters, necessary to generate
arbitrary finite change of gauge-fixing functions in the path integral.
| [
{
"created": "Wed, 28 May 2014 12:40:43 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2014 01:23:15 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Nov 2014 12:48:29 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
],
[
"Tyutin",
"Igor V.",
""
]
] | We study systematically finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate arbitrary finite change of gauge-fixing functions in the path integral. |
2408.04219 | Michele Cirafici | Michele Cirafici | Fluctuation theorems, quantum channels and gravitational algebras | 18 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study nonequilibrium fluctuations in gravitational algebras
within de Sitter space. An essential aspect of this study is quantum
measurement theory, which allows us to access the dynamical fluctuations of
observables via a two-point measurement scheme. Using this formalism, we
establish specific fluctuation theorems. Additionally, we demonstrate that
quantum channels are represented by subfactors, using the relationship between
measurement theory and quantum channels. We also comment on implementing a
quantum channel using Jones' theory of subfactors.
| [
{
"created": "Thu, 8 Aug 2024 05:06:10 GMT",
"version": "v1"
}
] | 2024-08-09 | [
[
"Cirafici",
"Michele",
""
]
] | In this note we study nonequilibrium fluctuations in gravitational algebras within de Sitter space. An essential aspect of this study is quantum measurement theory, which allows us to access the dynamical fluctuations of observables via a two-point measurement scheme. Using this formalism, we establish specific fluctuation theorems. Additionally, we demonstrate that quantum channels are represented by subfactors, using the relationship between measurement theory and quantum channels. We also comment on implementing a quantum channel using Jones' theory of subfactors. |
hep-th/0209208 | Y. M. Cho | Y. M. Cho, M. L. Walker and D. G. Pak | Monopole Condensation and Dimensional Transmutation in SU(2) QCD | 13 pages, 2 figures | JHEP 05 (2004) 073 | 10.1088/1126-6708/2004/05/073 | null | hep-th | null | We resolve the controversy on the stability of the monopole condensation in
the one-loop effective action of SU(2) QCD by calculating the imaginary part of
the effective action with two different methods at one-loop order. Our result
confirms that the effective action for the magnetic background has no imaginary
part but the one for the electric background has a negative imaginary part.
This assures that the monopole condensation is indeed stable, but the electric
background becomes unstable due to the pair-annihilation of gluons.
| [
{
"created": "Wed, 25 Sep 2002 04:07:24 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Nov 2002 23:00:56 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jun 2004 05:55:20 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Sep 2004 02:49:43 GMT",
"version": "v4"
}
] | 2015-06-26 | [
[
"Cho",
"Y. M.",
""
],
[
"Walker",
"M. L.",
""
],
[
"Pak",
"D. G.",
""
]
] | We resolve the controversy on the stability of the monopole condensation in the one-loop effective action of SU(2) QCD by calculating the imaginary part of the effective action with two different methods at one-loop order. Our result confirms that the effective action for the magnetic background has no imaginary part but the one for the electric background has a negative imaginary part. This assures that the monopole condensation is indeed stable, but the electric background becomes unstable due to the pair-annihilation of gluons. |
1706.00412 | Harold Erbin | St\'ephane Dartois and Harold Erbin and Swapnamay Mondal | Conformality of $1/N$ corrections in SYK-like models | 31 pages; v2: fix incorrect assumption, results unchanged, published
version with few additional details | Phys. Rev. D 100, 125005 (2019) | 10.1103/PhysRevD.100.125005 | LPTENS/17/09 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana
fermions which displays a number of appealing features -- solvability in the
strong coupling regime, near-conformal invariance and maximal chaos -- which
make it a suitable model for black holes in the context of the AdS/CFT
holography. In this paper, we show for the colored SYK model and several of its
tensor model cousins that the next-to-leading order in the large $N$ expansion
preserves the conformal invariance of the $2$-point function in the strong
coupling regime, up to the contribution of the pseudo-Goldstone bosons due to
the explicit breaking of the symmetry and which are already seen in the leading
order $4$-point function. We also comment on the composite field approach for
computing correlation functions in colored tensor models.
| [
{
"created": "Thu, 1 Jun 2017 17:54:32 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2019 19:18:39 GMT",
"version": "v2"
}
] | 2019-12-17 | [
[
"Dartois",
"Stéphane",
""
],
[
"Erbin",
"Harold",
""
],
[
"Mondal",
"Swapnamay",
""
]
] | The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a suitable model for black holes in the context of the AdS/CFT holography. In this paper, we show for the colored SYK model and several of its tensor model cousins that the next-to-leading order in the large $N$ expansion preserves the conformal invariance of the $2$-point function in the strong coupling regime, up to the contribution of the pseudo-Goldstone bosons due to the explicit breaking of the symmetry and which are already seen in the leading order $4$-point function. We also comment on the composite field approach for computing correlation functions in colored tensor models. |
0809.2509 | Vitaly Velizhanin | V.N. Velizhanin (St. Petersburg, INP) | Three-loop renormalization of the N=1, N=2, N=4 supersymmetric
Yang-Mills theories | 6 pages | null | 10.1016/j.nuclphysb.2009.03.017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the renormalization constants of the N=1, N=2, N=4
supersymmetric Yang-Mills theories in an arbitrary covariant gauge in the
dimensional reduction scheme up to three loops. We have found, that the
beta-functions for N=1 and N=4 SYM theories are the same from the different
triple vertices. This means that the dimensional reduction scheme works
correctly in these models up to third order of perturbative theory.
| [
{
"created": "Mon, 15 Sep 2008 16:00:22 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Dec 2008 20:38:26 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Velizhanin",
"V. N.",
"",
"St. Petersburg, INP"
]
] | We calculate the renormalization constants of the N=1, N=2, N=4 supersymmetric Yang-Mills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the beta-functions for N=1 and N=4 SYM theories are the same from the different triple vertices. This means that the dimensional reduction scheme works correctly in these models up to third order of perturbative theory. |
2001.01461 | Tadakatsu Sakai | Yasuhiro Hayashi, Takahiro Ogino, Tadakatsu Sakai, Shigeki Sugimoto | Stringy excited baryons in holographic QCD | 31 pages, 1 pdf file, v2: version published in PTEP | Prog Theor Exp Phys (2020) | 10.1093/ptep/ptaa045 | YITP-20-02 | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze excited baryon states using a holographic dual of QCD that is
defined on the basis of an intersecting D4/D8-brane system. Studies of baryons
in this model have been made by regarding them as a topological soliton of a
gauge theory on a five-dimensional curved spacetime. However, this allows one
to obtain only a certain class of baryons. We attempt to present a framework
such that a whole set of excited baryons can be treated in a systematic way.
This is achieved by employing the original idea of Witten, which states that a
baryon is described by a system composed of $N_c$ open strings emanating from a
baryon vertex. We argue that this system can be formulated by an ADHM-type
matrix model of Hashimoto-Iizuka-Yi together with an infinite tower of the open
string massive modes. Using this setup, we work out the spectra of excited
baryons and compare them with the experimental data. In particular, we derive a
formula of the nucleon Regge trajectory assuming that the excited nucleons
lying the trajectory are characterized by the excitation of a single open
string attached on the baryon vertex.
| [
{
"created": "Mon, 6 Jan 2020 10:03:27 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 00:42:30 GMT",
"version": "v2"
}
] | 2020-06-09 | [
[
"Hayashi",
"Yasuhiro",
""
],
[
"Ogino",
"Takahiro",
""
],
[
"Sakai",
"Tadakatsu",
""
],
[
"Sugimoto",
"Shigeki",
""
]
] | We analyze excited baryon states using a holographic dual of QCD that is defined on the basis of an intersecting D4/D8-brane system. Studies of baryons in this model have been made by regarding them as a topological soliton of a gauge theory on a five-dimensional curved spacetime. However, this allows one to obtain only a certain class of baryons. We attempt to present a framework such that a whole set of excited baryons can be treated in a systematic way. This is achieved by employing the original idea of Witten, which states that a baryon is described by a system composed of $N_c$ open strings emanating from a baryon vertex. We argue that this system can be formulated by an ADHM-type matrix model of Hashimoto-Iizuka-Yi together with an infinite tower of the open string massive modes. Using this setup, we work out the spectra of excited baryons and compare them with the experimental data. In particular, we derive a formula of the nucleon Regge trajectory assuming that the excited nucleons lying the trajectory are characterized by the excitation of a single open string attached on the baryon vertex. |
hep-th/0701277 | Greg van Anders | Greg van Anders | General Lin-Maldacena solutions and PWMM Instantons from supergravity | 15 pages, 4 figures. Minor correction | JHEP 0703:028,2007 | 10.1088/1126-6708/2007/03/028 | null | hep-th | null | We use the Lin-Maldacena prescription to demonstrate how to find the
supergravity solutions dual to arbitrary vacua of the plane wave matrix model
and maximally supersymmetric Yang-Mills theory on RxS^2, by solving the
auxiliary electrostatics problem. We then apply the technique to study
instantons at strong coupling in the matrix model.
| [
{
"created": "Tue, 30 Jan 2007 20:20:49 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2007 21:13:26 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2007 19:50:55 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"van Anders",
"Greg",
""
]
] | We use the Lin-Maldacena prescription to demonstrate how to find the supergravity solutions dual to arbitrary vacua of the plane wave matrix model and maximally supersymmetric Yang-Mills theory on RxS^2, by solving the auxiliary electrostatics problem. We then apply the technique to study instantons at strong coupling in the matrix model. |
1310.2611 | Arash Arabi Ardehali | Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski | 1/N^2 corrections to the holographic Weyl anomaly | 23 pages, 2 figures. v2: minor corrections and references added | JHEP 2014 (1), 002 | 10.1007/JHEP01(2014)002 | MCTP-13-28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the O(1) contribution to holographic c-a for IIB supergravity on
AdS_5 x S^5/Z_n and on AdS_5 x T^{1,1}/Z_n. In both cases, we find agreement
with the dual field theory results, thus providing 1/N^2 checks of AdS/CFT with
reduced supersymmetry. Since the holographic computation involves a sum over
shortened multiplets in the KK tower, we provide some details on the S^5 and
T^{1,1} spectra in a form that is convenient when considering their Z_n
orbifolds. The computation for the even Z_n orbifolds of S^5 includes a sum
over the multiplets in the twisted sector that is essential for obtaining
agreement with the dual field theory.
| [
{
"created": "Wed, 9 Oct 2013 20:00:09 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 2013 15:18:10 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Ardehali",
"Arash Arabi",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] | We compute the O(1) contribution to holographic c-a for IIB supergravity on AdS_5 x S^5/Z_n and on AdS_5 x T^{1,1}/Z_n. In both cases, we find agreement with the dual field theory results, thus providing 1/N^2 checks of AdS/CFT with reduced supersymmetry. Since the holographic computation involves a sum over shortened multiplets in the KK tower, we provide some details on the S^5 and T^{1,1} spectra in a form that is convenient when considering their Z_n orbifolds. The computation for the even Z_n orbifolds of S^5 includes a sum over the multiplets in the twisted sector that is essential for obtaining agreement with the dual field theory. |
0805.1902 | Geoffrey Comp\`ere | Geoffrey Comp\`ere and Don Marolf | Setting the boundary free in AdS/CFT | 21 pages + 14 pages app, add comments on susy and EM duality, add ref | Class.Quant.Grav.25:195014,2008 | 10.1088/0264-9381/25/19/195014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a new class of boundary conditions for AdS_{d+1} under which the
boundary metric becomes a dynamical field. The key technical point is to show
that contributions from boundary counter-terms in the bulk gravitational action
render such fluctuations normalizable. In the context of AdS/CFT, the analogue
of Neumann boundary conditions for AdS promotes the CFT metric to a dynamical
field but adds no explicit gravitational dynamics; the gravitational dynamics
is just that induced by the conformal fields. Other AdS boundary conditions
couple the CFT to a gravity theory of choice. We use this correspondence to
briefly explore the coupled CFT + gravity theories and, in particular, for d=3
we show that coupling topologically massive gravity to a large N CFT preserves
the perturbative stability of the theory with negative (3-dimensional) Newton's
constant.
| [
{
"created": "Tue, 13 May 2008 18:47:24 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2008 15:55:30 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Compère",
"Geoffrey",
""
],
[
"Marolf",
"Don",
""
]
] | We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action render such fluctuations normalizable. In the context of AdS/CFT, the analogue of Neumann boundary conditions for AdS promotes the CFT metric to a dynamical field but adds no explicit gravitational dynamics; the gravitational dynamics is just that induced by the conformal fields. Other AdS boundary conditions couple the CFT to a gravity theory of choice. We use this correspondence to briefly explore the coupled CFT + gravity theories and, in particular, for d=3 we show that coupling topologically massive gravity to a large N CFT preserves the perturbative stability of the theory with negative (3-dimensional) Newton's constant. |
hep-th/9806009 | Sergei Ketov | Sergei V. Ketov (ITP, University of Hannover) | Analytic tools to brane technology in N=2 gauge theories with matter | 80 pages, LaTeX, 7 pictures, macros included | Fortsch.Phys. 47 (1999) 643-703 | 10.1002/(SICI)1521-3978(199906)47:6<643::AID-PROP643>3.0.CO;2-X | DESY 98--059 and ITP-UH-12/98 | hep-th | null | Exact solutions to the low-energy effective action (LEEA) of the
four-dimensional N=2 supersymmetric gauge field theories are known to be
obtained either by quantum field theory methods from S-duality in the
Seiberg-Witten approach, or by the Type-IIA superstring/M-Theory methods of
brane technology. After a brief review of the standard field-theoretical
results for the N=2 gauge (Seiberg-Witten) LEEA, we consider a
field-theoretical derivation of the exact hypermultiplet LEEA by using the N=2
harmonic superspace methods. We illustrate our techniques on a number of
explicit examples. Our main purpose, however, is to discuss the existing
analytical (calculational) support for the alternative methods of brane
technology. We summarize known exact solutions to the eleven-dimensional and
ten-dimensional type-IIA supergravities, which describe classical
configurations of intersecting BPS branes with eight supercharges relevant to
the non-perturbative N=2 gauge field theory with fundamental hypermultiplet
matter. The crucial role of M-Theory in providing a classical resolution of
singularities in the ten-dimensional (Type-IIA superstring) brane picture, as
well as the N=2 extended supersymmetry in four dimensions, are made manifest.
The two approaches to a derivation of the exact N=2 gauge theory LEEA are thus
seen to be complementary to each other and mutually dependent.
| [
{
"created": "Mon, 1 Jun 1998 08:28:24 GMT",
"version": "v1"
}
] | 2016-04-13 | [
[
"Ketov",
"Sergei V.",
"",
"ITP, University of Hannover"
]
] | Exact solutions to the low-energy effective action (LEEA) of the four-dimensional N=2 supersymmetric gauge field theories are known to be obtained either by quantum field theory methods from S-duality in the Seiberg-Witten approach, or by the Type-IIA superstring/M-Theory methods of brane technology. After a brief review of the standard field-theoretical results for the N=2 gauge (Seiberg-Witten) LEEA, we consider a field-theoretical derivation of the exact hypermultiplet LEEA by using the N=2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven-dimensional and ten-dimensional type-IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non-perturbative N=2 gauge field theory with fundamental hypermultiplet matter. The crucial role of M-Theory in providing a classical resolution of singularities in the ten-dimensional (Type-IIA superstring) brane picture, as well as the N=2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N=2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent. |
2212.00050 | Stefano Antonini | Stefano Antonini, Petar Simidzija, Brian Swingle, Mark Van Raamsdonk,
Chris Waddell | Accelerating cosmology from $\Lambda <0$ gravitational effective field
theory | 26 pages + appendices. v2: corrected affiliations, added references | null | 10.1007/JHEP05(2023)203 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A large class of $\Lambda < 0$ cosmologies have big-bang / big crunch
spacetimes with time-symmetric backgrounds and asymptotically AdS Euclidean
continuations suggesting a possible holographic realization. We argue that
these models generically have time-dependent scalar fields, and these can lead
to realistic cosmologies at the level of the homogeneous background geometry,
with an accelerating phase prior to the turnaround and crunch. We first
demonstrate via explicit effective field theory examples that models with an
asymptotically AdS Euclidean continuation can also exhibit a period of
accelerated expansion without fine tuning. We then show that certain
significantly more tuned examples can give predictions arbitrarily close to a
$\Lambda$CDM model. Finally, we demonstrate via an explicit construction that
the potentials of interest can arise from a superpotential, thus suggesting
that these solutions may be compatible with an underlying supersymmetric
theory.
| [
{
"created": "Wed, 30 Nov 2022 19:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2023 19:47:49 GMT",
"version": "v2"
}
] | 2023-06-14 | [
[
"Antonini",
"Stefano",
""
],
[
"Simidzija",
"Petar",
""
],
[
"Swingle",
"Brian",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Waddell",
"Chris",
""
]
] | A large class of $\Lambda < 0$ cosmologies have big-bang / big crunch spacetimes with time-symmetric backgrounds and asymptotically AdS Euclidean continuations suggesting a possible holographic realization. We argue that these models generically have time-dependent scalar fields, and these can lead to realistic cosmologies at the level of the homogeneous background geometry, with an accelerating phase prior to the turnaround and crunch. We first demonstrate via explicit effective field theory examples that models with an asymptotically AdS Euclidean continuation can also exhibit a period of accelerated expansion without fine tuning. We then show that certain significantly more tuned examples can give predictions arbitrarily close to a $\Lambda$CDM model. Finally, we demonstrate via an explicit construction that the potentials of interest can arise from a superpotential, thus suggesting that these solutions may be compatible with an underlying supersymmetric theory. |
0912.2771 | Dmitri Gal'tsov | Dmitri V. Gal'tsov and Nikolai G. Scherbluk | Three-charge 2J black ring | 9 pages revtex 4 | Phys.Rev.D81:044028,2010 | 10.1103/PhysRevD.81.044028 | DTP-MSU/09-25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using recently proposed new solution generating technique, we construct the
charged version of Pomeranski-Senkov doubly rotating black ring in the $U(1)^3$
five-dimensional supergravity. For arbitrary values of charges the solution is
unbalanced, but the Dirac-Misner string is removed when two of the charges are
set to zero. In this particular case our solution can be uplifted to some
solution of six-dimensional vacuum gravity.
| [
{
"created": "Mon, 14 Dec 2009 22:53:20 GMT",
"version": "v1"
}
] | 2010-04-21 | [
[
"Gal'tsov",
"Dmitri V.",
""
],
[
"Scherbluk",
"Nikolai G.",
""
]
] | Using recently proposed new solution generating technique, we construct the charged version of Pomeranski-Senkov doubly rotating black ring in the $U(1)^3$ five-dimensional supergravity. For arbitrary values of charges the solution is unbalanced, but the Dirac-Misner string is removed when two of the charges are set to zero. In this particular case our solution can be uplifted to some solution of six-dimensional vacuum gravity. |
1111.0634 | John McGreevy | Koushik Balasubramanian and John McGreevy | String theory duals of Lifshitz-Chern-Simons gauge theories | 25+14 pages, 3 figures; v2: significant corrections regarding IR
geometry, resulting in new section 5; journal version | null | 10.1088/0264-9381/29/19/194007 | MIT-CTP/4299; NSF-KITP-11-224 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz
Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These
are nonrelativistic gauge theories in 2+1 dimensions in which parity and
time-reversal symmetries are explicitly broken by the presence of a
Chern-Simons term. We show that these field theories can be realized as
deformations of DLCQ N=4 super Yang-Mills theory. Using the holographic
dictionary, we identify the bulk fields that are dual to these deformations.
The geometries describing the groundstates of the non-Abelian LCS gauge
theories realized here exhibit a mass gap.
| [
{
"created": "Wed, 2 Nov 2011 20:00:30 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jul 2012 00:16:36 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Balasubramanian",
"Koushik",
""
],
[
"McGreevy",
"John",
""
]
] | We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These are nonrelativistic gauge theories in 2+1 dimensions in which parity and time-reversal symmetries are explicitly broken by the presence of a Chern-Simons term. We show that these field theories can be realized as deformations of DLCQ N=4 super Yang-Mills theory. Using the holographic dictionary, we identify the bulk fields that are dual to these deformations. The geometries describing the groundstates of the non-Abelian LCS gauge theories realized here exhibit a mass gap. |
0911.3402 | John McGreevy | Thomas Faulkner, Gary T. Horowitz, John McGreevy, Matthew M. Roberts,
David Vegh | Photoemission "experiments" on holographic superconductors | 14 pages, 13 figures; v2: typos corrected and some clarification
added | JHEP 1003:121,2010 | 10.1007/JHEP03(2010)121 | MIT-CTP/4088, NSF-KITP-09-150 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of a superconducting condensate on holographic Fermi
surfaces. With a suitable coupling between the fermion and the condensate,
there are stable quasiparticles with a gap. We find some similarities with the
phenomenology of the cuprates: in systems whose normal state is a non-Fermi
liquid with no stable quasiparticles, a stable quasiparticle peak appears in
the condensed phase.
| [
{
"created": "Wed, 18 Nov 2009 20:54:26 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Dec 2009 17:25:33 GMT",
"version": "v2"
}
] | 2010-04-08 | [
[
"Faulkner",
"Thomas",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"McGreevy",
"John",
""
],
[
"Roberts",
"Matthew M.",
""
],
[
"Vegh",
"David",
""
]
] | We study the effects of a superconducting condensate on holographic Fermi surfaces. With a suitable coupling between the fermion and the condensate, there are stable quasiparticles with a gap. We find some similarities with the phenomenology of the cuprates: in systems whose normal state is a non-Fermi liquid with no stable quasiparticles, a stable quasiparticle peak appears in the condensed phase. |
1402.2586 | George Papadopoulos | G. Papadopoulos | Seeking the balance: Patching double and exceptional field theories | substantial changes, section with example added, to appear in jhep,
24 pages | null | 10.1007/JHEP10(2014)089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the patching of double and exceptional field theories. In
double field theory the patching conditions imposed on the spacetime after
solving the strong section condition imply that the 3-form field strength $H$
is exact. A similar conclusion can be reached for the form field strengths of
exceptional field theories after some plausive assumptions are made on the
relation between the transition functions of the additional coordinates and the
patching data of the form field strengths. We illustrate the issues that arise,
and explore several alternative options which include the introduction of
C-folds and of the topological geometrisation condition.
| [
{
"created": "Tue, 11 Feb 2014 18:10:59 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 10:15:17 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Sep 2014 15:49:55 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Papadopoulos",
"G.",
""
]
] | We investigate the patching of double and exceptional field theories. In double field theory the patching conditions imposed on the spacetime after solving the strong section condition imply that the 3-form field strength $H$ is exact. A similar conclusion can be reached for the form field strengths of exceptional field theories after some plausive assumptions are made on the relation between the transition functions of the additional coordinates and the patching data of the form field strengths. We illustrate the issues that arise, and explore several alternative options which include the introduction of C-folds and of the topological geometrisation condition. |
1310.5740 | Nilay Kundu | Shamit Kachru, Nilay Kundu, Arpan Saha, Rickmoy Samanta and Sandip P.
Trivedi | Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes | 37 pages, 12 figures, The comment regarding the behavior of
C-function for general Bianchi Types appearing in IR or UV clarified, the
relation of Type IX with $AdS_2 \times S^3$ for $\lambda=1$ made more precise
and a comment regarding type V added in the conclusion | null | 10.1007/JHEP03(2014)074 | TIFR/TH/13-24 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct classes of smooth metrics which interpolate from Bianchi
attractor geometries of Types II, III, VI and IX in the IR to Lifshitz or
$AdS_2 \times S^3$ geometries in the UV. While we do not obtain these metrics
as solutions of Einstein gravity coupled to a simple matter field theory, we
show that the matter sector stress-energy required to support these geometries
(via the Einstein equations) does satisfy the weak, and therefore also the
null, energy condition. Since Lifshitz or $AdS_2 \times S^3$ geometries can in
turn be connected to $AdS_5$ spacetime, our results show that there is no
barrier, at least at the level of the energy conditions, for solutions to arise
connecting these Bianchi attractor geometries to $AdS_5$ spacetime. The
asymptotic $AdS_5$ spacetime has no non-normalizable metric deformation turned
on, which suggests that furthermore, the Bianchi attractor geometries can be
the IR geometries dual to field theories living in flat space, with the
breaking of symmetries being either spontaneous or due to sources for other
fields. Finally, we show that for a large class of flows which connect two
Bianchi attractors, a C-function can be defined which is monotonically
decreasing from the UV to the IR as long as the null energy condition is
satisfied. However, except for special examples of Bianchi attractors
(including AdS space), this function does not attain a finite and non-vanishing
constant value at the end points.
| [
{
"created": "Mon, 21 Oct 2013 22:04:29 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2014 15:16:21 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Kachru",
"Shamit",
""
],
[
"Kundu",
"Nilay",
""
],
[
"Saha",
"Arpan",
""
],
[
"Samanta",
"Rickmoy",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We construct classes of smooth metrics which interpolate from Bianchi attractor geometries of Types II, III, VI and IX in the IR to Lifshitz or $AdS_2 \times S^3$ geometries in the UV. While we do not obtain these metrics as solutions of Einstein gravity coupled to a simple matter field theory, we show that the matter sector stress-energy required to support these geometries (via the Einstein equations) does satisfy the weak, and therefore also the null, energy condition. Since Lifshitz or $AdS_2 \times S^3$ geometries can in turn be connected to $AdS_5$ spacetime, our results show that there is no barrier, at least at the level of the energy conditions, for solutions to arise connecting these Bianchi attractor geometries to $AdS_5$ spacetime. The asymptotic $AdS_5$ spacetime has no non-normalizable metric deformation turned on, which suggests that furthermore, the Bianchi attractor geometries can be the IR geometries dual to field theories living in flat space, with the breaking of symmetries being either spontaneous or due to sources for other fields. Finally, we show that for a large class of flows which connect two Bianchi attractors, a C-function can be defined which is monotonically decreasing from the UV to the IR as long as the null energy condition is satisfied. However, except for special examples of Bianchi attractors (including AdS space), this function does not attain a finite and non-vanishing constant value at the end points. |
0705.3540 | Sangmin Lee | Seok Kim, Sangmin Lee, Sungjay Lee, Jaemo Park | M2-brane Probe Dynamics and Toric Duality | 50 pages, 24 figures; v2. title changed, abstract and introduction
clarified. to appear in Nucl.Phys.B | Nucl.Phys.B797:340-370,2008 | 10.1016/j.nuclphysb.2008.01.012 | SNUST-070501 | hep-th | null | We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold
singularity in the context of the recently proposed M-theory crystal model of
AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the
charges of the matter fields are given by the intersection numbers between
loops and faces in the crystal. We argue that the probe theory captures certain
aspects of the CFT3 even though the true M2-brane CFT is unlikely to be a usual
gauge theory. In particular, the moduli space of vacua of the gauge theory
coincides precisely with the Calabi-Yau singularity. Toric duality, partial
resolution, and a possibility of new RG flows are also discussed.
| [
{
"created": "Thu, 24 May 2007 09:32:52 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2008 01:50:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kim",
"Seok",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Lee",
"Sungjay",
""
],
[
"Park",
"Jaemo",
""
]
] | We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold singularity in the context of the recently proposed M-theory crystal model of AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the charges of the matter fields are given by the intersection numbers between loops and faces in the crystal. We argue that the probe theory captures certain aspects of the CFT3 even though the true M2-brane CFT is unlikely to be a usual gauge theory. In particular, the moduli space of vacua of the gauge theory coincides precisely with the Calabi-Yau singularity. Toric duality, partial resolution, and a possibility of new RG flows are also discussed. |
1807.00808 | Hernando Quevedo | Daniel Flores-Alfonso and Hernando Quevedo | Chern Index of Taub-Bolt instantons in Einstein-Born-Infeld gravity | Prepared for the Proceedings of the XX-th Conference on Geometry,
Integrability, and Quantization | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Partition functions can be calculated by saddle point approximations whenever
regular solutions exist, as they dominate the path integral. We examine a
regular Taub-Bolt dyon of Einstein-Born-Infeld theory which has electric and
magnetic flux proportional to each other. Magnetic flux is found to be
essentially a winding number and the electric flux turns out to be indexed by
it.
| [
{
"created": "Sat, 30 Jun 2018 14:06:00 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Flores-Alfonso",
"Daniel",
""
],
[
"Quevedo",
"Hernando",
""
]
] | Partition functions can be calculated by saddle point approximations whenever regular solutions exist, as they dominate the path integral. We examine a regular Taub-Bolt dyon of Einstein-Born-Infeld theory which has electric and magnetic flux proportional to each other. Magnetic flux is found to be essentially a winding number and the electric flux turns out to be indexed by it. |
1510.05268 | Renann Jusinskas | Renann Lipinski Jusinskas | On the field-antifield (a)symmetry of the pure spinor superstring | 54 pages (including review section and two appendices). Comments
added in the Introduction. Published version | JHEP12(2015)136 | 10.1007/JHEP12(2015)136 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, the DDF-like approach to the pure spinor cohomology is extended
to the next ghost number level, the so called antifields. In a direct
(supersymmetric) parallel to the bosonic string, some properties of the ghost
number two cohomology are derived with the enlargement of the DDF algebra.
Also, the DDF conjugates of the b ghost zero mode emerge naturally from the
extended algebra and the physical state condition is discussed. Unlike the
bosonic string case, the cohomology analysis of the pure spinor b ghost is
restricted to BRST-closed states.
| [
{
"created": "Sun, 18 Oct 2015 15:52:22 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2015 15:11:54 GMT",
"version": "v2"
}
] | 2015-12-22 | [
[
"Jusinskas",
"Renann Lipinski",
""
]
] | In this work, the DDF-like approach to the pure spinor cohomology is extended to the next ghost number level, the so called antifields. In a direct (supersymmetric) parallel to the bosonic string, some properties of the ghost number two cohomology are derived with the enlargement of the DDF algebra. Also, the DDF conjugates of the b ghost zero mode emerge naturally from the extended algebra and the physical state condition is discussed. Unlike the bosonic string case, the cohomology analysis of the pure spinor b ghost is restricted to BRST-closed states. |
1307.2222 | Yu-tin Huang | Yu-tin Huang, Henrik Johansson, Sangmin Lee | On Three-Algebra and Bi-Fundamental Matter Amplitudes and Integrability
of Supergravity | 52 pages | null | 10.1007/JHEP11(2013)050 | MCTP-13-13 CERN-PH-TH/2013-098 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore tree-level amplitude relations for SU(N)xSU(M) bi-fundamental
matter theories. Embedding the group-theory structure in a Lie three-algebra,
we derive Kleiss-Kuijf-like relations for bi-fundamental matter theories in
general dimension. We investigate the three-algebra color-kinematics duality
for these theories. Unlike the Yang-Mills two-algebra case, the three-algebra
Bern-Carrasco-Johansson relations depend on the spacetime dimension and on the
detailed symmetry properties of the structure constants. We find the presence
of such relations in three and two dimensions, and absence in D>3.
Surprisingly, beyond six point, such relations are absent in the
Aharony-Bergman-Jafferis-Maldacena theory for general gauge group, while the
Bagger-Lambert-Gustavsson theory, and its supersymmetry truncations, obey the
color-kinematics duality like clockwork. At four and six points the relevant
partial amplitudes of the two theories are bijectively related, explaining
previous results in the literature. In D=2 the color-kinematics duality gives
results consistent with integrability of two-dimensional $\mathcal{N}=16$
supergravity: The four-point amplitude satisfies a Yang-Baxter equation; the
six- and eight-point amplitudes vanish for certain kinematics away from
factorization channels, as expected from integrability.
| [
{
"created": "Mon, 8 Jul 2013 19:50:46 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Huang",
"Yu-tin",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Lee",
"Sangmin",
""
]
] | We explore tree-level amplitude relations for SU(N)xSU(M) bi-fundamental matter theories. Embedding the group-theory structure in a Lie three-algebra, we derive Kleiss-Kuijf-like relations for bi-fundamental matter theories in general dimension. We investigate the three-algebra color-kinematics duality for these theories. Unlike the Yang-Mills two-algebra case, the three-algebra Bern-Carrasco-Johansson relations depend on the spacetime dimension and on the detailed symmetry properties of the structure constants. We find the presence of such relations in three and two dimensions, and absence in D>3. Surprisingly, beyond six point, such relations are absent in the Aharony-Bergman-Jafferis-Maldacena theory for general gauge group, while the Bagger-Lambert-Gustavsson theory, and its supersymmetry truncations, obey the color-kinematics duality like clockwork. At four and six points the relevant partial amplitudes of the two theories are bijectively related, explaining previous results in the literature. In D=2 the color-kinematics duality gives results consistent with integrability of two-dimensional $\mathcal{N}=16$ supergravity: The four-point amplitude satisfies a Yang-Baxter equation; the six- and eight-point amplitudes vanish for certain kinematics away from factorization channels, as expected from integrability. |
hep-th/9608051 | Ali Mostafazadeh | Ali Mostafazadeh | Adiabatic Geometrical Phase for Scalar Fields in a Curved Spacetime | Expanded Version | null | null | University of Alberta preprint THY 28-96 | hep-th gr-qc | null | A convenient framework is developed to generalize Berry's investigation of
the adiabatic geometrical phase for a classical relativistic charged scalar
field in a curved background spacetime which is minimally coupled to
electromagnetism and an arbitrary (non-electromagnetic) scalar potential. It
involves a two-component formulation of the corresponding Klein-Gordon
equation. A precise definition of the adiabatic approximation is offered and
conditions of its validity are discussed. It is shown that the adiabatic
geometric phase can be computed without making a particular choice for an inner
product on the space of solutions of the field equations. What is needed is
just an inner product on the Hilbert space of the square integrable functions
defined on the spatial hypersurfaces. The two-component formalism is applied in
the investigation of the adiabatic geometric phases for several specific
examples, namely, a rotating magnetic field in Minkowski space, a rotating
cosmic string, and an arbitrary spatially homogeneous cosmological background.
It is shown that the two-component formalism reproduces the known results for
the first two examples. It also leads to several interesting results for the
case of spatially homogeneous cosmological models. In particular, it is shown
that the adiabatic geometric phase angles vanish for Bianchi type I models. The
situation is completely different for Bianchi type IX models where a variety of
nontrivial non-Abelian adiabatic geometrical phases can occur. The analogy
between the adiabatic geometric phases induced by the Bianchi type IX
backgrounds and those associated with the well-known time-dependent nuclear
quadrupole Hamiltonians is also pointed out.
| [
{
"created": "Fri, 9 Aug 1996 01:24:56 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Sep 1996 22:19:42 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jun 1997 20:08:22 GMT",
"version": "v3"
}
] | 2009-09-25 | [
[
"Mostafazadeh",
"Ali",
""
]
] | A convenient framework is developed to generalize Berry's investigation of the adiabatic geometrical phase for a classical relativistic charged scalar field in a curved background spacetime which is minimally coupled to electromagnetism and an arbitrary (non-electromagnetic) scalar potential. It involves a two-component formulation of the corresponding Klein-Gordon equation. A precise definition of the adiabatic approximation is offered and conditions of its validity are discussed. It is shown that the adiabatic geometric phase can be computed without making a particular choice for an inner product on the space of solutions of the field equations. What is needed is just an inner product on the Hilbert space of the square integrable functions defined on the spatial hypersurfaces. The two-component formalism is applied in the investigation of the adiabatic geometric phases for several specific examples, namely, a rotating magnetic field in Minkowski space, a rotating cosmic string, and an arbitrary spatially homogeneous cosmological background. It is shown that the two-component formalism reproduces the known results for the first two examples. It also leads to several interesting results for the case of spatially homogeneous cosmological models. In particular, it is shown that the adiabatic geometric phase angles vanish for Bianchi type I models. The situation is completely different for Bianchi type IX models where a variety of nontrivial non-Abelian adiabatic geometrical phases can occur. The analogy between the adiabatic geometric phases induced by the Bianchi type IX backgrounds and those associated with the well-known time-dependent nuclear quadrupole Hamiltonians is also pointed out. |
2003.09546 | Pablo Bueno | Pablo Bueno and Horacio Casini | Reflected entropy, symmetries and free fermions | 27 pages, 6 figures; v2: small modifications in section 3.3 | JHEP 05 (2020) 103 | 10.1007/JHEP05(2020)103 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exploiting the split property of quantum field theories (QFTs), a notion of
von Neumann entropy associated to pairs of spatial subregions has been recently
proposed both in the holographic context -- where it has been argued to be
related to the entanglement wedge cross section -- and for general QFTs. We
argue that the definition of this "reflected entropy" can be canonically
generalized in a way which is particularly suitable for orbifold theories --
those obtained by restricting the full algebra of operators to those which are
neutral under a global symmetry group. This turns out to be given by the
full-theory reflected entropy minus an entropy associated to the expectation
value of the "twist" operator implementing the symmetry operation. Then we show
that the reflected entropy for Gaussian fermion systems can be simply written
in terms of correlation functions and we evaluate it numerically for two
intervals in the case of a two-dimensional Dirac field as a function of the
conformal cross-ratio. Finally, we explain how the aforementioned twist
operators can be constructed and we compute the corresponding expectation value
and reflected entropy numerically in the case of the $\mathbb{Z}_2$ bosonic
subalgebra of the Dirac field.
| [
{
"created": "Sat, 21 Mar 2020 01:20:59 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2023 21:42:20 GMT",
"version": "v2"
}
] | 2023-02-17 | [
[
"Bueno",
"Pablo",
""
],
[
"Casini",
"Horacio",
""
]
] | Exploiting the split property of quantum field theories (QFTs), a notion of von Neumann entropy associated to pairs of spatial subregions has been recently proposed both in the holographic context -- where it has been argued to be related to the entanglement wedge cross section -- and for general QFTs. We argue that the definition of this "reflected entropy" can be canonically generalized in a way which is particularly suitable for orbifold theories -- those obtained by restricting the full algebra of operators to those which are neutral under a global symmetry group. This turns out to be given by the full-theory reflected entropy minus an entropy associated to the expectation value of the "twist" operator implementing the symmetry operation. Then we show that the reflected entropy for Gaussian fermion systems can be simply written in terms of correlation functions and we evaluate it numerically for two intervals in the case of a two-dimensional Dirac field as a function of the conformal cross-ratio. Finally, we explain how the aforementioned twist operators can be constructed and we compute the corresponding expectation value and reflected entropy numerically in the case of the $\mathbb{Z}_2$ bosonic subalgebra of the Dirac field. |
2103.16420 | Vitaly Velizhanin | B.A. Kniehl and V.N. Velizhanin | Non-planar universal anomalous dimension of twist-two operators with
general Lorentz spin at four loops in N=4 SYM theory | 22 pages | null | 10.1016/j.nuclphysb.2021.115429 | DESY 21-043 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We compute the non-planar contribution to the universal anomalous dimension
of twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops
through Lorentz spin eighteen. Exploiting the results of this and our previous
calculations along with recent analytic results for the cusp anomalous
dimension and some expected analytic properties, we reconstruct a general
expression valid for arbitrary Lorentz spin. We study various properties of
this general result, such as its large-spin limit, its small-x limit, and
others. In particular, we present a prediction for the non-planar contribution
to the anomalous dimension of the single-magnon operator in the beta-deformed
version of the theory.
| [
{
"created": "Tue, 30 Mar 2021 15:20:37 GMT",
"version": "v1"
}
] | 2021-06-30 | [
[
"Kniehl",
"B. A.",
""
],
[
"Velizhanin",
"V. N.",
""
]
] | We compute the non-planar contribution to the universal anomalous dimension of twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin eighteen. Exploiting the results of this and our previous calculations along with recent analytic results for the cusp anomalous dimension and some expected analytic properties, we reconstruct a general expression valid for arbitrary Lorentz spin. We study various properties of this general result, such as its large-spin limit, its small-x limit, and others. In particular, we present a prediction for the non-planar contribution to the anomalous dimension of the single-magnon operator in the beta-deformed version of the theory. |
hep-th/0001029 | Cumrun Vafa | F.A. Cachazo and C. Vafa | Type I' and Real Algebraic Geometry | 71 pages and 16 figures | null | null | HUTP-99/A058 | hep-th | null | We revisit the duality between type I' and heterotic strings in 9 dimensions.
We resolve a puzzle about the validity of type I' perturbation theory and show
that there are regions in moduli which are not within the reach of type I'
perturbation theory. We find however, that all regions of moduli are described
by a special class of real elliptic $K3$'s in the limit where the $K3$ shrinks
to a one dimensional interval. We find a precise map between the geometry of
dilaton and branes of type I' on the one hand and the geometry of real elliptic
$K3$ on the other. We also argue more generally that strong coupling limits of
string compactifications generically do not have a weakly coupled dual in terms
of any known theory (as is exemplified by the strong coupling limit of
heterotic strings in 9 dimensions for certain range of parameters).
| [
{
"created": "Fri, 7 Jan 2000 15:57:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cachazo",
"F. A.",
""
],
[
"Vafa",
"C.",
""
]
] | We revisit the duality between type I' and heterotic strings in 9 dimensions. We resolve a puzzle about the validity of type I' perturbation theory and show that there are regions in moduli which are not within the reach of type I' perturbation theory. We find however, that all regions of moduli are described by a special class of real elliptic $K3$'s in the limit where the $K3$ shrinks to a one dimensional interval. We find a precise map between the geometry of dilaton and branes of type I' on the one hand and the geometry of real elliptic $K3$ on the other. We also argue more generally that strong coupling limits of string compactifications generically do not have a weakly coupled dual in terms of any known theory (as is exemplified by the strong coupling limit of heterotic strings in 9 dimensions for certain range of parameters). |
1001.3148 | James Halverson | Mirjam Cveti\v{c}, James Halverson, Paul Langacker, Robert Richter | The Weinberg Operator and a Lower String Scale in Orientifold
Compactifications | 27 pages | JHEP 1010:094,2010 | 10.1007/JHEP10(2010)094 | UPR-1215-T, ROM2F/2010/01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the interplay between the string scale and phenomenological
scales in orientifold compactifications. Specifically, we discuss in generality
the tension that often arises in accounting for neutrino masses, Yukawa
couplings, and a mu-term of the correct order and show that it often constrains
the string scale M_s. The discussion focuses on two scenarios where, (1) the
observed order of the neutrino masses are accounted for by a D-instanton
induced "stringy" Weinberg operator, or (2) effectively via the type I seesaw
mechanism with an instanton induced Majorana mass term. In both scenarios, the
string scale might be further constrained if the suppression factor of a single
D-instanton must account for two of the phenomenological scales. For the sake
of concreteness, we present phenomenologically viable quivers which exhibit
these effects and perform a systematic analysis of four-stack and five-stack
quivers which give rise to the exact MSSM spectrum and account for the order of
the neutrino masses via the stringy Weinberg operator.
| [
{
"created": "Tue, 19 Jan 2010 20:40:07 GMT",
"version": "v1"
}
] | 2010-12-01 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Halverson",
"James",
""
],
[
"Langacker",
"Paul",
""
],
[
"Richter",
"Robert",
""
]
] | We investigate the interplay between the string scale and phenomenological scales in orientifold compactifications. Specifically, we discuss in generality the tension that often arises in accounting for neutrino masses, Yukawa couplings, and a mu-term of the correct order and show that it often constrains the string scale M_s. The discussion focuses on two scenarios where, (1) the observed order of the neutrino masses are accounted for by a D-instanton induced "stringy" Weinberg operator, or (2) effectively via the type I seesaw mechanism with an instanton induced Majorana mass term. In both scenarios, the string scale might be further constrained if the suppression factor of a single D-instanton must account for two of the phenomenological scales. For the sake of concreteness, we present phenomenologically viable quivers which exhibit these effects and perform a systematic analysis of four-stack and five-stack quivers which give rise to the exact MSSM spectrum and account for the order of the neutrino masses via the stringy Weinberg operator. |
hep-th/0411072 | Nicholas Warner | Iosif Bena, Chih-Wei Wang and Nicholas P. Warner | Black Rings with Varying Charge Density | 19 pages, 1 figure, harvmac; v2. figure changed, references added | JHEP 0603 (2006) 015 | 10.1088/1126-6708/2006/03/015 | UCLA/04/TEP/45 | hep-th | null | We find the general five-dimensional, supersymmetric black ring solutions in
M-theory based upon a circular ring, but with arbitrary, fluctuating charge
distributions around the ring. The solutions have three arbitrary charge
distribution functions, but their asymptotic charges and angular momenta only
depend upon the total charges on the ring. The arbitrary density fluctuations
thus represent "hair." By varying the charge distributions one can continuously
change the entropy of these black rings; to our knowledge this is the first
solution in which the entropy depends on classical moduli. We also show that
there is a family of solutions, with two arbitrary functions, for which the
horizon remains rotationally invariant, and yet the complete solution breaks
rotational symmetry. If the horizon area is set to zero then one obtains
families of supertube solutions. We find that our general solutions are
governed by three harmonic functions that may be thought of as classical
excitations of a string. The horizon area provides a natural Lorentz metric on
these excitations, and the constancy of the rotational invariance of the
horizon imposes a set of Virasoro constraints.
| [
{
"created": "Fri, 5 Nov 2004 19:50:49 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jun 2005 22:30:03 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bena",
"Iosif",
""
],
[
"Wang",
"Chih-Wei",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We find the general five-dimensional, supersymmetric black ring solutions in M-theory based upon a circular ring, but with arbitrary, fluctuating charge distributions around the ring. The solutions have three arbitrary charge distribution functions, but their asymptotic charges and angular momenta only depend upon the total charges on the ring. The arbitrary density fluctuations thus represent "hair." By varying the charge distributions one can continuously change the entropy of these black rings; to our knowledge this is the first solution in which the entropy depends on classical moduli. We also show that there is a family of solutions, with two arbitrary functions, for which the horizon remains rotationally invariant, and yet the complete solution breaks rotational symmetry. If the horizon area is set to zero then one obtains families of supertube solutions. We find that our general solutions are governed by three harmonic functions that may be thought of as classical excitations of a string. The horizon area provides a natural Lorentz metric on these excitations, and the constancy of the rotational invariance of the horizon imposes a set of Virasoro constraints. |
2109.00912 | Norihiro Tanahashi | Eugeny Babichev, Keisuke Izumi, Norihiro Tanahashi, Masahide Yamaguchi | Invertibility conditions for field transformations with derivatives:
toward extensions of disformal transformation with higher derivatives | 38 pages. v2: typos corrected, published version | null | 10.1093/ptep/ptab151 | null | hep-th astro-ph.CO gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a field transformation from fields $\psi_a$ to other fields
$\phi_i$ that involves derivatives, $\phi_i = \bar \phi_i(\psi_a,
\partial_\alpha \psi_a, \ldots ;x^\mu)$, and derive conditions for this
transformation to be invertible, primarily focusing on the simplest case that
the transformation maps between a pair of two fields and involves up to their
first derivatives. General field transformation of this type changes number of
degrees of freedom, hence for the transformation to be invertible, it must
satisfy certain degeneracy conditions so that additional degrees of freedom do
not appear. Our derivation of necessary and sufficient conditions for
invertible transformation is based on the method of characteristics, which is
used to count the number of independent solutions of a given differential
equation. As applications of the invertibility conditions, we show some
non-trivial examples of the invertible field transformations with derivatives,
and also give a rigorous proof that a simple extension of the disformal
transformation involving a second derivative of the scalar field is not
invertible.
| [
{
"created": "Thu, 2 Sep 2021 13:12:57 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jan 2022 08:59:28 GMT",
"version": "v2"
}
] | 2022-01-25 | [
[
"Babichev",
"Eugeny",
""
],
[
"Izumi",
"Keisuke",
""
],
[
"Tanahashi",
"Norihiro",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] | We discuss a field transformation from fields $\psi_a$ to other fields $\phi_i$ that involves derivatives, $\phi_i = \bar \phi_i(\psi_a, \partial_\alpha \psi_a, \ldots ;x^\mu)$, and derive conditions for this transformation to be invertible, primarily focusing on the simplest case that the transformation maps between a pair of two fields and involves up to their first derivatives. General field transformation of this type changes number of degrees of freedom, hence for the transformation to be invertible, it must satisfy certain degeneracy conditions so that additional degrees of freedom do not appear. Our derivation of necessary and sufficient conditions for invertible transformation is based on the method of characteristics, which is used to count the number of independent solutions of a given differential equation. As applications of the invertibility conditions, we show some non-trivial examples of the invertible field transformations with derivatives, and also give a rigorous proof that a simple extension of the disformal transformation involving a second derivative of the scalar field is not invertible. |
hep-th/0302078 | Pietro Antonio Grassi | J. de Boer (Amsterdam Univ.), P. A. Grassi (YITP, Stony Brook) and P.
van Nieuwenhuizen (YITP, Stony Brook) | Non-commutative superspace from string theory | LaTex, 12 pages | Phys.Lett. B574 (2003) 98-104 | 10.1016/j.physletb.2003.08.071 | YITP-SB-02-74, ITFA-2003-09 | hep-th | null | Turning on background fields in string theory sometimes has an alternative
interpretation as a deformation of the target space geometry. A particularly
well-known case is the NS-NS two form B, which gives rise to space-time
non-commutativity. In this note we point out that this phenomenon extends to
ten-dimensional superspace when employing a covariant quantization of the
superstring, generalizing an observation by Ooguri and Vafa in four dimensions.
In particular, we will find that RR field strengths give rise to a non-zero
$\{\theta,\theta\}$ anti-commutator, just as in four dimensions, whereas the
gravitino yields a non-zero value for $[x,\theta]$.
| [
{
"created": "Tue, 11 Feb 2003 20:10:18 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"de Boer",
"J.",
"",
"Amsterdam Univ."
],
[
"Grassi",
"P. A.",
"",
"YITP, Stony Brook"
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony Brook"
]
] | Turning on background fields in string theory sometimes has an alternative interpretation as a deformation of the target space geometry. A particularly well-known case is the NS-NS two form B, which gives rise to space-time non-commutativity. In this note we point out that this phenomenon extends to ten-dimensional superspace when employing a covariant quantization of the superstring, generalizing an observation by Ooguri and Vafa in four dimensions. In particular, we will find that RR field strengths give rise to a non-zero $\{\theta,\theta\}$ anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for $[x,\theta]$. |
1712.01764 | Marcus Khuri | Aghil Alaee, Marcus Khuri, Hari Kunduri | Bounding Horizon Area by Angular Momentum, Charge, and Cosmological
Constant in 5-Dimensional Minimal Supergravity | 39 pages, final version | Ann. Henri Poincare, 20 (2019), no. 2, 481-525 | 10.1007/s00023-018-0749-4 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a class of area-angular momentum-charge inequalities satisfied
by stable marginally outer trapped surfaces in 5-dimensional minimal
supergravity which admit a $U(1)^2$ symmetry. A novel feature is the fact that
such surfaces can have the nontrivial topologies $S^1 \times S^2$ and $L(p,q)$.
In addition to two angular momenta, they may be characterized by `dipole
charge' as well as electric charge. We show that the unique geometries which
saturate the inequalities are the horizon geometries corresponding to extreme
black hole solutions. Analogous inequalities which also include contributions
from a positive cosmological constant are also presented.
| [
{
"created": "Tue, 5 Dec 2017 17:07:59 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2021 05:33:34 GMT",
"version": "v2"
}
] | 2021-01-27 | [
[
"Alaee",
"Aghil",
""
],
[
"Khuri",
"Marcus",
""
],
[
"Kunduri",
"Hari",
""
]
] | We establish a class of area-angular momentum-charge inequalities satisfied by stable marginally outer trapped surfaces in 5-dimensional minimal supergravity which admit a $U(1)^2$ symmetry. A novel feature is the fact that such surfaces can have the nontrivial topologies $S^1 \times S^2$ and $L(p,q)$. In addition to two angular momenta, they may be characterized by `dipole charge' as well as electric charge. We show that the unique geometries which saturate the inequalities are the horizon geometries corresponding to extreme black hole solutions. Analogous inequalities which also include contributions from a positive cosmological constant are also presented. |
1408.5367 | Latham Boyle | Shane Farnsworth and Latham Boyle | Rethinking Connes' approach to the standard model of particle physics
via non-commutative geometry | v2: 5 pages, no figures, minor changes matching NJP published version | New J. Phys. 17, 023021 (2015) | 10.1088/1367-2630/17/2/023021 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Connes' non-commutative geometry (NCG) is a generalization of Riemannian
geometry that is particularly apt for expressing the standard model of particle
physics coupled to Einstein gravity. In a previous paper, we suggested a
reformulation of this framework that is: (i) simpler and more unified in its
axioms, and (ii) allows the Lagrangian for the standard model of particle
physics (coupled to Einstein gravity) to be specified in a way that is tighter
and more explanatory than the traditional algorithm based on effective field
theory. Here we explain how this same reformulation yields a new perspective on
the symmetries of a given NCG. Applying this perspective to the NCG
traditionally used to describe the standard model we find, instead, an
extension of the standard model by an extra $U(1)_{B-L}$ gauge symmetry, and a
single extra complex scalar field $\sigma$, which is a singlet under
$SU(3)_{C}\times SU(2)_{L}\times U(1)_{Y}$, but has $B-L=2$. This field has
cosmological implications, and offers a new solution to the discrepancy between
the observed Higgs mass and the NCG prediction.
| [
{
"created": "Fri, 22 Aug 2014 17:41:37 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 2015 04:44:47 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Farnsworth",
"Shane",
""
],
[
"Boyle",
"Latham",
""
]
] | Connes' non-commutative geometry (NCG) is a generalization of Riemannian geometry that is particularly apt for expressing the standard model of particle physics coupled to Einstein gravity. In a previous paper, we suggested a reformulation of this framework that is: (i) simpler and more unified in its axioms, and (ii) allows the Lagrangian for the standard model of particle physics (coupled to Einstein gravity) to be specified in a way that is tighter and more explanatory than the traditional algorithm based on effective field theory. Here we explain how this same reformulation yields a new perspective on the symmetries of a given NCG. Applying this perspective to the NCG traditionally used to describe the standard model we find, instead, an extension of the standard model by an extra $U(1)_{B-L}$ gauge symmetry, and a single extra complex scalar field $\sigma$, which is a singlet under $SU(3)_{C}\times SU(2)_{L}\times U(1)_{Y}$, but has $B-L=2$. This field has cosmological implications, and offers a new solution to the discrepancy between the observed Higgs mass and the NCG prediction. |
1005.4849 | Michael P. Fry | M.P. Fry | Nonperturbative results for the mass dependence of the QED fermion
determinant | This is an extended version of the author's paper in
Phys.Rev.D81(2010)107701 | Phys.Rev.D81:107701,2010 | 10.1103/PhysRevD.81.107701 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fermion determinant in four-dimensional quantum electrodynamics in the
presence of O(2)XO(3) symmetric background gauge fields with a nonvanishing
global chiral anomaly is considered. It is shown that the leading mass
singularity of the determinant's nonperturbative part is fixed by the anomaly.
It is also shown that for a large class of such fields there is at least one
value of the fermion mass at which the determinant's nonperturbative part
reduces to its noninteracting value.
| [
{
"created": "Wed, 26 May 2010 15:42:17 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Fry",
"M. P.",
""
]
] | The fermion determinant in four-dimensional quantum electrodynamics in the presence of O(2)XO(3) symmetric background gauge fields with a nonvanishing global chiral anomaly is considered. It is shown that the leading mass singularity of the determinant's nonperturbative part is fixed by the anomaly. It is also shown that for a large class of such fields there is at least one value of the fermion mass at which the determinant's nonperturbative part reduces to its noninteracting value. |
2302.12263 | Grant Remmen | Clifford Cheung, Grant N. Remmen | Stringy Dynamics from an Amplitudes Bootstrap | 7 pages, 1 figure | Phys. Rev. D 108, 026011 (2023) | 10.1103/PhysRevD.108.026011 | CALT-TH 2023-006 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe an analytic procedure whereby scattering amplitudes are
bootstrapped directly from an input mass spectrum and a handful of physical
constraints: crossing symmetry, boundedness at high energies, and finiteness of
exchanged spins. For an integer spectrum, this procedure gives a first
principles derivation of a new infinite parameter generalization of the
Veneziano amplitude that is unitary while exhibiting dual resonance and
consistent high-energy behavior. Lifting to a $q$-deformed integer spectrum, we
derive the Coon amplitude and its analogous generalizations. Finally, we apply
this logic to derive an infinite class of deformed Virasoro-Shapiro amplitudes.
| [
{
"created": "Thu, 23 Feb 2023 19:00:00 GMT",
"version": "v1"
}
] | 2023-08-08 | [
[
"Cheung",
"Clifford",
""
],
[
"Remmen",
"Grant N.",
""
]
] | We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins. For an integer spectrum, this procedure gives a first principles derivation of a new infinite parameter generalization of the Veneziano amplitude that is unitary while exhibiting dual resonance and consistent high-energy behavior. Lifting to a $q$-deformed integer spectrum, we derive the Coon amplitude and its analogous generalizations. Finally, we apply this logic to derive an infinite class of deformed Virasoro-Shapiro amplitudes. |
hep-th/0503095 | Tomas Andrade | T. Andrade, M. Banados, R. Benguria, A. Gomberoff | The 2+1 charged black hole in topologically massive Electrodynamics | 4 pages, no figures, LaTex, added references | Phys.Rev.Lett. 95 (2005) 021102 | 10.1103/PhysRevLett.95.021102 | null | hep-th gr-qc | null | The 2+1 black hole coupled to a Maxwell field can be charged in two different
ways. On the one hand, it can support a Coulomb field whose potential grows
logarithmically in the radial coordinate. On the other, due to the existence of
a non-contractible cycle, it also supports a topological charge whose value is
given by the corresponding Abelian holonomy. Only the Coulomb charge, however,
is given by a constant flux integral with an associated continuity equation.
The topological charge does not gravitate and is somehow decoupled from the
black hole. This situation changes abruptly if one turns on the Chern-Simons
term for the Maxwell field. First, the flux integral at infinity becomes equal
to the topological charge. Second, demanding regularity of the black hole
horizon, it is found that the Coulomb charge (whose associated potential now
decays by a power law) must vanish identically. Hence, in 2+1 topologically
massive electrodynamics coupled to gravity, the black hole can only support
holonomies for the Maxwell field. This means that the charged black hole, as
the uncharged one, is constructed from the vacuum by means of spacetime
identifications.
| [
{
"created": "Thu, 10 Mar 2005 19:19:41 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2005 15:47:23 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Andrade",
"T.",
""
],
[
"Banados",
"M.",
""
],
[
"Benguria",
"R.",
""
],
[
"Gomberoff",
"A.",
""
]
] | The 2+1 black hole coupled to a Maxwell field can be charged in two different ways. On the one hand, it can support a Coulomb field whose potential grows logarithmically in the radial coordinate. On the other, due to the existence of a non-contractible cycle, it also supports a topological charge whose value is given by the corresponding Abelian holonomy. Only the Coulomb charge, however, is given by a constant flux integral with an associated continuity equation. The topological charge does not gravitate and is somehow decoupled from the black hole. This situation changes abruptly if one turns on the Chern-Simons term for the Maxwell field. First, the flux integral at infinity becomes equal to the topological charge. Second, demanding regularity of the black hole horizon, it is found that the Coulomb charge (whose associated potential now decays by a power law) must vanish identically. Hence, in 2+1 topologically massive electrodynamics coupled to gravity, the black hole can only support holonomies for the Maxwell field. This means that the charged black hole, as the uncharged one, is constructed from the vacuum by means of spacetime identifications. |
hep-th/0702185 | Boris Kosyakov | Boris Kosyakov | Is classical reality completely deterministic? | Replace the paper with a revised version | Found.Phys.38:76-88,2008 | 10.1007/s10701-007-9185-x | null | hep-th physics.class-ph quant-ph | null | The concept of determinism for a classical system is interpreted as the
requirement that the solution to the Cauchy problem for the equations of motion
governing this system be unique. This requirement is generally assumed to hold
for all autonomous classical systems. We give counterexamples of this view. Our
analysis of classical electrodynamics in a world with one temporal and one
spatial dimension shows that the solution to the Cauchy problem with the
initial conditions of a particular type is not unique. Therefore, random
behavior of closed classical systems is indeed possible. This finding provides
a qualitative explanation of how classical strings can split. We propose a
modified path integral formulation of classical mechanics to include
indeterministic systems.
| [
{
"created": "Thu, 22 Feb 2007 17:19:35 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Mar 2007 10:31:11 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Mar 2007 05:22:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kosyakov",
"Boris",
""
]
] | The concept of determinism for a classical system is interpreted as the requirement that the solution to the Cauchy problem for the equations of motion governing this system be unique. This requirement is generally assumed to hold for all autonomous classical systems. We give counterexamples of this view. Our analysis of classical electrodynamics in a world with one temporal and one spatial dimension shows that the solution to the Cauchy problem with the initial conditions of a particular type is not unique. Therefore, random behavior of closed classical systems is indeed possible. This finding provides a qualitative explanation of how classical strings can split. We propose a modified path integral formulation of classical mechanics to include indeterministic systems. |
2009.02157 | Gianmassimo Tasinato | Gianmassimo Tasinato | Symmetries for scalarless scalar theories | 27 pages. References added, to appear in PRD | Phys. Rev. D 102, 084009 (2020) | 10.1103/PhysRevD.102.084009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider theories containing scalar fields interacting with vector or with
tensor degrees of freedom, equipped with symmetries that prevent the
propagation of linearized scalar excitations around solutions of the equations
of motion. We first study the implications of such symmetries for building
vector theories that break Abelian gauge invariance without necessarily
exciting longitudinal scalar fluctuations in flat space. We then examine
scalar-tensor theories in curved space, and relate the symmetries we consider
with a non-linear realization of broken space-time symmetries acting on scalar
modes. We determine sufficient conditions on the space-time geometry to avoid
the propagation of scalar fluctuations. We analyze linearized perturbations
around spherically symmetric black holes, proving the absence of scalar
excitations, and pointing out modifications in the dynamics of spin-2
fluctuations with respect to Einstein gravity. We then study consequences of
this set-up for the dark energy problem, determining scalar constraints on
cosmological configurations that can lead to self-accelerating universes whose
expansion is insensitive to the value of the bare cosmological constant.
| [
{
"created": "Fri, 4 Sep 2020 12:43:43 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Sep 2020 07:04:24 GMT",
"version": "v2"
}
] | 2020-10-14 | [
[
"Tasinato",
"Gianmassimo",
""
]
] | We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We first study the implications of such symmetries for building vector theories that break Abelian gauge invariance without necessarily exciting longitudinal scalar fluctuations in flat space. We then examine scalar-tensor theories in curved space, and relate the symmetries we consider with a non-linear realization of broken space-time symmetries acting on scalar modes. We determine sufficient conditions on the space-time geometry to avoid the propagation of scalar fluctuations. We analyze linearized perturbations around spherically symmetric black holes, proving the absence of scalar excitations, and pointing out modifications in the dynamics of spin-2 fluctuations with respect to Einstein gravity. We then study consequences of this set-up for the dark energy problem, determining scalar constraints on cosmological configurations that can lead to self-accelerating universes whose expansion is insensitive to the value of the bare cosmological constant. |
2111.11028 | Hui-Huang Chen | Hui-Huang Chen | Charged R\'enyi negativity of massless free bosons | 25 pages, 5 figures, published version | null | 10.1007/JHEP02(2022)117 | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | In this paper, we consider the computation of charged moments of the reduced
density matrix of two disjoint intervals in the $1+1$ dimensional free
compactified boson conformal field theory (CFT) by studying the four-point
function of the fluxed twist fields. We obtained the exact scaling function of
this four-point function and discussed its decompactification limit. This
scaling function was used to obtain the charged moments of the partial
transpose which we refer as charged R\'enyi negativity. These charged moments
and the charged moments of the partial transpose are essential for the problem
of symmetry decomposition of the corresponding entanglement measures. We test
our analytic formula against exact numerical computation in the complex
harmonic chain, finding perfect agreements.
| [
{
"created": "Mon, 22 Nov 2021 07:29:36 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Nov 2021 04:37:54 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Jan 2022 12:31:35 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Feb 2022 12:53:18 GMT",
"version": "v4"
}
] | 2022-02-22 | [
[
"Chen",
"Hui-Huang",
""
]
] | In this paper, we consider the computation of charged moments of the reduced density matrix of two disjoint intervals in the $1+1$ dimensional free compactified boson conformal field theory (CFT) by studying the four-point function of the fluxed twist fields. We obtained the exact scaling function of this four-point function and discussed its decompactification limit. This scaling function was used to obtain the charged moments of the partial transpose which we refer as charged R\'enyi negativity. These charged moments and the charged moments of the partial transpose are essential for the problem of symmetry decomposition of the corresponding entanglement measures. We test our analytic formula against exact numerical computation in the complex harmonic chain, finding perfect agreements. |
hep-th/0304149 | Yoshiharu Kawamura | Yoshiharu Kawamura | Cubic Matrix, Generalized Spin Algebra and Uncertainty Relation | Latex, 13pages | Prog.Theor.Phys. 110 (2003) 579-587 | 10.1143/PTP.110.579 | null | hep-th | null | We propose a generalization of spin algebra using three-index objects. There
is a possibility that a triple commutation relation among three-index objects
implies a kind of uncertainty relation among their expectation values.
| [
{
"created": "Thu, 17 Apr 2003 05:24:23 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2004 07:01:49 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kawamura",
"Yoshiharu",
""
]
] | We propose a generalization of spin algebra using three-index objects. There is a possibility that a triple commutation relation among three-index objects implies a kind of uncertainty relation among their expectation values. |
hep-th/9303001 | null | Arne L. Larsen and Valery P. Frolov | Propagation of perturbations along strings | 18 pages, LaTeX, Nordita-93/17 P | Nucl.Phys. B414 (1994) 129-146 | 10.1016/0550-3213(94)90425-1 | null | hep-th | null | A covariant formalism for physical perturbations propagating along a string
in an arbitrary curved spacetime is developed. In the case of a stationary
string in a static background the propagation of the perturbations is described
by a wave-equation with a potential consisting of 2 terms: The first term
describing the time-dilation and the second is connected with the curvature of
space. As applications of the developed approach the propagation of
perturbations along a stationary string in Rindler, de Sitter, Schwarzschild
and Reissner-Nordstrom spacetimes are investigated.
| [
{
"created": "Mon, 1 Mar 1993 10:30:37 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Larsen",
"Arne L.",
""
],
[
"Frolov",
"Valery P.",
""
]
] | A covariant formalism for physical perturbations propagating along a string in an arbitrary curved spacetime is developed. In the case of a stationary string in a static background the propagation of the perturbations is described by a wave-equation with a potential consisting of 2 terms: The first term describing the time-dilation and the second is connected with the curvature of space. As applications of the developed approach the propagation of perturbations along a stationary string in Rindler, de Sitter, Schwarzschild and Reissner-Nordstrom spacetimes are investigated. |
hep-th/9312189 | Debashis Ghoshal | Debashis Ghoshal and Sunil Mukhi | Topological Landau-Ginzburg Model of Two-Dimensional String Theory | 22 pages, harvmac, Mehta Research Institute and Tata Institute
Preprint MRI-PHY/13/93, TIFR/TH/93-62 | Nucl.Phys.B425:173-190,1994 | 10.1016/0550-3213(94)90177-5 | null | hep-th | null | We study a topological Landau-Ginzburg model with superpotential W(X)=X^{-1}.
This is argued to be equivalent to c=1 string theory compactified at the
self-dual radius. We compute the tree-level correlation function of N tachyons
in this theory and show their agreement with matrix-model results. We also
discuss the nature of contact terms, the perturbed superpotential and the flow
of operators in the small phase space. The role of gravitational descendants in
this theory is examined, and the tachyon two-point function in genus 1 is
obtained using a conjectured modification of the gravitational recursion
relations.
| [
{
"created": "Fri, 24 Dec 1993 14:43:45 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Ghoshal",
"Debashis",
""
],
[
"Mukhi",
"Sunil",
""
]
] | We study a topological Landau-Ginzburg model with superpotential W(X)=X^{-1}. This is argued to be equivalent to c=1 string theory compactified at the self-dual radius. We compute the tree-level correlation function of N tachyons in this theory and show their agreement with matrix-model results. We also discuss the nature of contact terms, the perturbed superpotential and the flow of operators in the small phase space. The role of gravitational descendants in this theory is examined, and the tachyon two-point function in genus 1 is obtained using a conjectured modification of the gravitational recursion relations. |
1007.1824 | Myungseok Eune | Myungseok Eune and Wontae Kim | Lifshitz scalar, brick wall method, and GUP in Ho\v{r}ava-Lifshitz
Gravity | 14 pages, 3 figures, to be published in Phys. Rev. D | Phys.Rev.D82:124048,2010 | 10.1103/PhysRevD.82.124048 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the brick wall method, we study statistical entropy for spherically
symmetric black holes in Ho\v{r}ava-Lifshitz gravity. In particular, a Lifshitz
scalar field is considered in order to incorporate foliation preserving
diffeomorphism which eventually gives a modified dispersion relation. Finally,
we obtain the area law without UV cutoff for $z > 3$, and discuss some of
consequences in connection with the generalized uncertainty principle.
| [
{
"created": "Mon, 12 Jul 2010 05:56:52 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 2010 07:27:59 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Nov 2010 03:04:00 GMT",
"version": "v3"
}
] | 2011-01-17 | [
[
"Eune",
"Myungseok",
""
],
[
"Kim",
"Wontae",
""
]
] | Using the brick wall method, we study statistical entropy for spherically symmetric black holes in Ho\v{r}ava-Lifshitz gravity. In particular, a Lifshitz scalar field is considered in order to incorporate foliation preserving diffeomorphism which eventually gives a modified dispersion relation. Finally, we obtain the area law without UV cutoff for $z > 3$, and discuss some of consequences in connection with the generalized uncertainty principle. |
2012.11190 | Donal O'Connell | Ricardo Monteiro, Donal O'Connell, David Peinador Veiga and Matteo
Sergola | Classical Solutions and their Double Copy in Split Signature | 45 pages, 5 figures | null | 10.1007/JHEP05(2021)268 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The three-point amplitude is the key building block in the on-shell approach
to scattering amplitudes. We show that the classical objects computed by
massive three-point amplitudes in gauge theory and gravity are Newman-Penrose
scalars in a split-signature spacetime, where three-point amplitudes can be
defined for real kinematics. In fact, the quantum state set up by the particle
is a coherent state fully determined by the three-point amplitude due to an
eikonal-type exponentiation. Having identified this simplest classical solution
from the perspective of scattering amplitudes, we explore the double copy of
the Newman-Penrose scalars induced by the traditional double copy of
amplitudes, and find that it coincides with the Weyl version of the classical
double copy. We also exploit the Kerr-Schild version of the classical double
copy to determine the exact spacetime metric in the gravitational case.
Finally, we discuss the direct implication of these results for Lorentzian
signature via analytic continuation.
| [
{
"created": "Mon, 21 Dec 2020 09:11:44 GMT",
"version": "v1"
}
] | 2021-06-16 | [
[
"Monteiro",
"Ricardo",
""
],
[
"O'Connell",
"Donal",
""
],
[
"Veiga",
"David Peinador",
""
],
[
"Sergola",
"Matteo",
""
]
] | The three-point amplitude is the key building block in the on-shell approach to scattering amplitudes. We show that the classical objects computed by massive three-point amplitudes in gauge theory and gravity are Newman-Penrose scalars in a split-signature spacetime, where three-point amplitudes can be defined for real kinematics. In fact, the quantum state set up by the particle is a coherent state fully determined by the three-point amplitude due to an eikonal-type exponentiation. Having identified this simplest classical solution from the perspective of scattering amplitudes, we explore the double copy of the Newman-Penrose scalars induced by the traditional double copy of amplitudes, and find that it coincides with the Weyl version of the classical double copy. We also exploit the Kerr-Schild version of the classical double copy to determine the exact spacetime metric in the gravitational case. Finally, we discuss the direct implication of these results for Lorentzian signature via analytic continuation. |
hep-th/9805052 | Heinrich Saller | Heinrich Saller (MPI Physics, M\"unchen) | The External-Internal Group Quotient Structure for the Standard Model in
Analogy to General Relativity | 25 pages, LATEX, all macros included | Int.J.Theor.Phys. 37 (1998) 2333-2361 | null | MPI-PhT/98-35 | hep-th | null | In analogy to the class structure $\GL(\R^4)/\O(1,3)$ for general relativity
with a local Lorentz group as stabilizer and a basic tetrad field for the
parametrization, a corresponding class structure $\GL(\C^2)/\U(2)$ is
investigated for the standard model with a local hyperisospin group $\U(2)$.
The lepton, quark, Higgs and gauge fields, used in the standard model, cannot
be basic in a coset interpretation, they may to be taken as first order terms
in a flat spacetime, particle oriented expansion of a basic field (as the
analogue to the tetrad) and its products.
| [
{
"created": "Mon, 11 May 1998 11:33:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saller",
"Heinrich",
"",
"MPI Physics, München"
]
] | In analogy to the class structure $\GL(\R^4)/\O(1,3)$ for general relativity with a local Lorentz group as stabilizer and a basic tetrad field for the parametrization, a corresponding class structure $\GL(\C^2)/\U(2)$ is investigated for the standard model with a local hyperisospin group $\U(2)$. The lepton, quark, Higgs and gauge fields, used in the standard model, cannot be basic in a coset interpretation, they may to be taken as first order terms in a flat spacetime, particle oriented expansion of a basic field (as the analogue to the tetrad) and its products. |
hep-th/0508217 | Ram Brustein | Ram Brustein, Martin B. Einhorn, Amos Yarom | Entanglement Interpretation of Black Hole Entropy in String Theory | null | JHEP 0601 (2006) 098 | 10.1088/1126-6708/2006/01/098 | NSF-KITP-05-64 | hep-th gr-qc | null | We show that the entropy resulting from the counting of microstates of non
extremal black holes using field theory duals of string theories can be
interpreted as arising from entanglement. The conditions for making such an
interpretation consistent are discussed. First, we interpret the entropy (and
thermodynamics) of spacetimes with non degenerate, bifurcating Killing horizons
as arising from entanglement. We use a path integral method to define the
Hartle-Hawking vacuum state in such spacetimes and discuss explicitly its
entangled nature and its relation to the geometry. If string theory on such
spacetimes has a field theory dual, then, in the low-energy, weak coupling
limit, the field theory state that is dual to the Hartle-Hawking state is a
thermofield double state. This allows the comparison of the entanglement
entropy with the entropy of the field theory dual, and thus, with the
Bekenstein-Hawking entropy of the black hole. As an example, we discuss in
detail the case of the five dimensional anti-de Sitter, black hole spacetime.
| [
{
"created": "Mon, 29 Aug 2005 14:27:55 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Brustein",
"Ram",
""
],
[
"Einhorn",
"Martin B.",
""
],
[
"Yarom",
"Amos",
""
]
] | We show that the entropy resulting from the counting of microstates of non extremal black holes using field theory duals of string theories can be interpreted as arising from entanglement. The conditions for making such an interpretation consistent are discussed. First, we interpret the entropy (and thermodynamics) of spacetimes with non degenerate, bifurcating Killing horizons as arising from entanglement. We use a path integral method to define the Hartle-Hawking vacuum state in such spacetimes and discuss explicitly its entangled nature and its relation to the geometry. If string theory on such spacetimes has a field theory dual, then, in the low-energy, weak coupling limit, the field theory state that is dual to the Hartle-Hawking state is a thermofield double state. This allows the comparison of the entanglement entropy with the entropy of the field theory dual, and thus, with the Bekenstein-Hawking entropy of the black hole. As an example, we discuss in detail the case of the five dimensional anti-de Sitter, black hole spacetime. |
hep-th/9702158 | David Brown | David Brown | Duality Invariance of Black Hole Creation Rates | 8 pages, REVTEX | Phys.Rev. D56 (1997) 1001-1004 | 10.1103/PhysRevD.56.1001 | null | hep-th gr-qc | null | Pair creation of electrically charged black holes and its dual process, pair
creation of magnetically charged black holes, are considered. It is shown that
the creation rates are equal provided the boundary conditions for the two
processes are dual to one another. This conclusion follows from a careful
analysis of boundary terms and boundary conditions for the Maxwell action.
| [
{
"created": "Fri, 21 Feb 1997 16:27:51 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 1997 20:32:00 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Brown",
"David",
""
]
] | Pair creation of electrically charged black holes and its dual process, pair creation of magnetically charged black holes, are considered. It is shown that the creation rates are equal provided the boundary conditions for the two processes are dual to one another. This conclusion follows from a careful analysis of boundary terms and boundary conditions for the Maxwell action. |
1210.3646 | Gerald V. Dunne | Gerald V. Dunne and Mithat Unsal | Continuity and Resurgence: towards a continuum definition of the CP(N-1)
model | 4 pages, 1 figure | Phys.Rev. D87 (2013) 025015 | 10.1103/PhysRevD.87.025015 | null | hep-th hep-lat math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a non-perturbative continuum framework to study the dynamics of
quantum field theory (QFT), applied here to the CP(N-1) model, using Ecalle's
theory of resurgent trans-series, combined with the physical principle of
continuity, in which spatial compactification and a Born-Oppenheimer
approximation reduce QFT to quantum mechanics, while preventing all intervening
rapid cross-overs or phase transitions. The reduced quantum mechanics contains
the germ of all non-perturbative data, e.g., mass gap, of the QFT, all of which
are calculable. For CP(N-1), the results obtained at arbitrary N are consistent
with lattice and large-N results. These theories are perturbatively non-Borel
summable and possess the elusive IR-renormalon singularities. The trans-series
expansion, in which perturbative and non-perturbative effects are intertwined,
encapsulates the multi-length-scale nature of the theory, and eliminates all
perturbative and non-perturbative ambiguities under consistent analytic
continuation of the coupling. We demonstrate the cancellation of the leading
non-perturbative ambiguity in perturbation theory against the ambiguity in
neutral bion amplitudes. This provides a weak-coupling interpretation of the
IR-renormalon, and a theorem by Pham et al implies that the mass gap is a
resurgent function, for which resummation of the semi-classical expansion
yields finite exact results.
| [
{
"created": "Fri, 12 Oct 2012 21:36:39 GMT",
"version": "v1"
}
] | 2013-06-06 | [
[
"Dunne",
"Gerald V.",
""
],
[
"Unsal",
"Mithat",
""
]
] | We introduce a non-perturbative continuum framework to study the dynamics of quantum field theory (QFT), applied here to the CP(N-1) model, using Ecalle's theory of resurgent trans-series, combined with the physical principle of continuity, in which spatial compactification and a Born-Oppenheimer approximation reduce QFT to quantum mechanics, while preventing all intervening rapid cross-overs or phase transitions. The reduced quantum mechanics contains the germ of all non-perturbative data, e.g., mass gap, of the QFT, all of which are calculable. For CP(N-1), the results obtained at arbitrary N are consistent with lattice and large-N results. These theories are perturbatively non-Borel summable and possess the elusive IR-renormalon singularities. The trans-series expansion, in which perturbative and non-perturbative effects are intertwined, encapsulates the multi-length-scale nature of the theory, and eliminates all perturbative and non-perturbative ambiguities under consistent analytic continuation of the coupling. We demonstrate the cancellation of the leading non-perturbative ambiguity in perturbation theory against the ambiguity in neutral bion amplitudes. This provides a weak-coupling interpretation of the IR-renormalon, and a theorem by Pham et al implies that the mass gap is a resurgent function, for which resummation of the semi-classical expansion yields finite exact results. |
hep-th/9704195 | Steven S. Gubser | Steven S. Gubser | Can the effective string see higher partial waves? | 19 pages, uses harvmac, version to appear in Phys. Rev. D | Phys. Rev. D 56, 4984 (1997) | 10.1103/PhysRevD.56.4984 | PUPT-1697 | hep-th | null | The semi-classical cross-sections for arbitrary partial waves of ordinary
scalars to fall into certain five-dimensional black holes have a form that
seems capable of explanation in terms of the effective string model. The
kinematics of these processes is analyzed in detail on the effective string and
is shown to reproduce the correct functional form of the semi-classical
cross-sections. But it is necessary to choose a peculiar value of the effective
string tension to obtain the correct scaling properties. Furthermore, the
assumptions of locality and statistics combine to forbid the effective string
from absorbing more than a finite number of partial waves. The relation of this
limitation to cosmic censorship is discussed.
| [
{
"created": "Sun, 27 Apr 1997 22:36:55 GMT",
"version": "v1"
},
{
"created": "Sat, 10 May 1997 00:33:11 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Sep 1997 15:50:19 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Gubser",
"Steven S.",
""
]
] | The semi-classical cross-sections for arbitrary partial waves of ordinary scalars to fall into certain five-dimensional black holes have a form that seems capable of explanation in terms of the effective string model. The kinematics of these processes is analyzed in detail on the effective string and is shown to reproduce the correct functional form of the semi-classical cross-sections. But it is necessary to choose a peculiar value of the effective string tension to obtain the correct scaling properties. Furthermore, the assumptions of locality and statistics combine to forbid the effective string from absorbing more than a finite number of partial waves. The relation of this limitation to cosmic censorship is discussed. |
hep-th/9906135 | Robert Finkelstein | R. J. Finkelstein (University of California, Los Angeles) | Gauged q-Fields | 10 pages, tex file, minor modifications in text | null | null | UCLA/99/TEP/18 | hep-th | null | The straightforward description of q-deformed systems leads to transition
amplitudes that are not numerically valued. To give physical meaning to these
expressions without introducing {\it ad hoc} remedies, one may exploit an
"internal" Fock space already defined by the q-algebra. This internal space may
be interpreted in terms of internal degrees of freedom of the deformed system
or alternatively in terms of non-locality. It is shown that the $q$-deformation
may give stringy characteristics to a Yang-Mills theory.
| [
{
"created": "Thu, 17 Jun 1999 19:08:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 1999 18:55:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Finkelstein",
"R. J.",
"",
"University of California, Los Angeles"
]
] | The straightforward description of q-deformed systems leads to transition amplitudes that are not numerically valued. To give physical meaning to these expressions without introducing {\it ad hoc} remedies, one may exploit an "internal" Fock space already defined by the q-algebra. This internal space may be interpreted in terms of internal degrees of freedom of the deformed system or alternatively in terms of non-locality. It is shown that the $q$-deformation may give stringy characteristics to a Yang-Mills theory. |
0712.0452 | Pascal Baseilhac | Pascal Baseilhac (LMPT) | New results in the XXZ open spin chain | null | Recent Advances in Quantum Integrable Systems, Annecy : France
(2007) | null | null | hep-th math-ph math.MP math.QA | null | In this review, I describe a recent approach based on the representation
theory of the $q-$Onsager algebra which is used to derive exact results for the
XXZ open spin chain. The complete spectrum and eigenstates are obtained as
rational functions of a single variable which discrete values correspond to the
roots of a certain characteristic polynomial. Comments and open problems are
also presented.
| [
{
"created": "Tue, 4 Dec 2007 08:54:41 GMT",
"version": "v1"
}
] | 2007-12-05 | [
[
"Baseilhac",
"Pascal",
"",
"LMPT"
]
] | In this review, I describe a recent approach based on the representation theory of the $q-$Onsager algebra which is used to derive exact results for the XXZ open spin chain. The complete spectrum and eigenstates are obtained as rational functions of a single variable which discrete values correspond to the roots of a certain characteristic polynomial. Comments and open problems are also presented. |
hep-th/9804185 | Kirill Krasnov | Laurent Freidel and Kirill Krasnov | Discrete Space-Time Volume for 3-Dimensional BF Theory and Quantum
Gravity | 13 pages, Revtex, figures | Class.Quant.Grav. 16 (1999) 351-362 | 10.1088/0264-9381/16/2/003 | CGPG-98/4-4 | hep-th gr-qc | null | The Turaev-Viro state sum invariant is known to give the transition amplitude
for the three dimensional BF theory with cosmological term, and its deformation
parameter hbar is related with the cosmological constant via hbar=sqrt{Lambda}.
This suggests a way to find the expectation value of the spacetime volume by
differentiating the Turaev-Viro amplitude with respect to the cosmological
constant. Using this idea, we find an explicit expression for the spacetime
volume in BF theory. According to our results, each labelled triangulation
carries a volume that depends on the labelling spins. This volume is explicitly
discrete. We also show how the Turaev-Viro model can be used to obtain the
spacetime volume for (2+1) dimensional quantum gravity.
| [
{
"created": "Tue, 28 Apr 1998 19:46:06 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Freidel",
"Laurent",
""
],
[
"Krasnov",
"Kirill",
""
]
] | The Turaev-Viro state sum invariant is known to give the transition amplitude for the three dimensional BF theory with cosmological term, and its deformation parameter hbar is related with the cosmological constant via hbar=sqrt{Lambda}. This suggests a way to find the expectation value of the spacetime volume by differentiating the Turaev-Viro amplitude with respect to the cosmological constant. Using this idea, we find an explicit expression for the spacetime volume in BF theory. According to our results, each labelled triangulation carries a volume that depends on the labelling spins. This volume is explicitly discrete. We also show how the Turaev-Viro model can be used to obtain the spacetime volume for (2+1) dimensional quantum gravity. |
1505.01755 | Marcus Sperling | Marcus Sperling | Instantons on Calabi-Yau cones | v2: 26 pages, accepted in Nucl.Phys.B, added 6 references, improved
discussion, added Yang-Mills with torsion | null | 10.1016/j.nuclphysb.2015.10.014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Hermitian Yang-Mills equations on certain vector bundles over Calabi-Yau
cones can be reduced to a set of matrix equations; in fact, these are Nahm-type
equations. The latter can be analysed further by generalising arguments of
Donaldson and Kronheimer used in the study of the original Nahm equations.
Starting from certain equivariant connections, we show that the full set of
instanton equations reduce, with a unique gauge transformation, to the
holomorphicity condition alone.
| [
{
"created": "Thu, 7 May 2015 15:53:33 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Nov 2015 11:57:10 GMT",
"version": "v2"
}
] | 2015-12-09 | [
[
"Sperling",
"Marcus",
""
]
] | The Hermitian Yang-Mills equations on certain vector bundles over Calabi-Yau cones can be reduced to a set of matrix equations; in fact, these are Nahm-type equations. The latter can be analysed further by generalising arguments of Donaldson and Kronheimer used in the study of the original Nahm equations. Starting from certain equivariant connections, we show that the full set of instanton equations reduce, with a unique gauge transformation, to the holomorphicity condition alone. |
hep-th/9209019 | Satoru Odake | Takeo Inami and Satoru Odake | Continuum Limit of Spin-1 Chain (the only change is added references) | 10 pages, LaTeX, YITP/K-987 | null | null | null | hep-th cond-mat | null | We study the continuum limit of the spin-1 chain in the non-Abelian
bosonization approach of Affleck and show that the Hamiltonian of integrable
spin-1 chain yields the Lagrangian of supersymmetric sine-Gordon model in the
zero lattice spacing limit. We also show that the quantum group generators of
the spin-1 chain give non-local charges of the supersymmetric sine-Gordon
theory.
| [
{
"created": "Mon, 7 Sep 1992 03:28:57 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 1992 02:35:37 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Inami",
"Takeo",
""
],
[
"Odake",
"Satoru",
""
]
] | We study the continuum limit of the spin-1 chain in the non-Abelian bosonization approach of Affleck and show that the Hamiltonian of integrable spin-1 chain yields the Lagrangian of supersymmetric sine-Gordon model in the zero lattice spacing limit. We also show that the quantum group generators of the spin-1 chain give non-local charges of the supersymmetric sine-Gordon theory. |
2112.12648 | Patrik Novosad | Patrik Novosad | Lagrangians for non-relativistic gravity | null | null | 10.1103/PhysRevD.105.064051 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the covariant expansion of Einstein-Hilbert action in powers of
$1/c^2$ with arbitrary spacetime foliation where $c$ is the speed of light.
This is done firstly by suitable parametrization of geometry which is called
'pre-non-relativistic' parametrization. This allows us to rewrite the general
relativity in a form suitable for the analytical $1/c^2$ expansion.
Consequently, we can study the expansion of Einstein-Hilbert action up to the
next-to-next-to-leading order.
| [
{
"created": "Thu, 23 Dec 2021 15:37:06 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Mar 2022 12:50:38 GMT",
"version": "v2"
}
] | 2022-04-06 | [
[
"Novosad",
"Patrik",
""
]
] | We study the covariant expansion of Einstein-Hilbert action in powers of $1/c^2$ with arbitrary spacetime foliation where $c$ is the speed of light. This is done firstly by suitable parametrization of geometry which is called 'pre-non-relativistic' parametrization. This allows us to rewrite the general relativity in a form suitable for the analytical $1/c^2$ expansion. Consequently, we can study the expansion of Einstein-Hilbert action up to the next-to-next-to-leading order. |
1811.04963 | Kevin Goldstein | Kevin Goldstein, Vishnu Jejjala, James Junior Mashiyane, Suresh
Nampuri | Generalized Hot Attractors | 39 pages, 3 figures, v2 references and clarifications added | null | 10.1007/JHEP03(2019)188 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-extremal black holes are endowed with geometric invariants related to
their horizon areas. We extend earlier work on hot attractor black holes to
higher dimensions and add a scalar potential. In addition to the event and
Cauchy horizons, when we complexify the radial coordinate, non-extremal black
holes will generically have other horizons as well. We prove that the product
of all of the horizon areas is independent of variations of the asymptotic
moduli further generalizing the attractor mechanism for extremal black holes.
In the presence of a scalar potential, as typically appears in gauged
supergravity, we find that the product of horizon areas is not necessarily the
geometric mean of the extremal area, however. We outline the derivation of
horizon invariants for stationary backgrounds.
| [
{
"created": "Mon, 12 Nov 2018 19:07:57 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2019 12:09:16 GMT",
"version": "v2"
}
] | 2019-05-01 | [
[
"Goldstein",
"Kevin",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Mashiyane",
"James Junior",
""
],
[
"Nampuri",
"Suresh",
""
]
] | Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy horizons, when we complexify the radial coordinate, non-extremal black holes will generically have other horizons as well. We prove that the product of all of the horizon areas is independent of variations of the asymptotic moduli further generalizing the attractor mechanism for extremal black holes. In the presence of a scalar potential, as typically appears in gauged supergravity, we find that the product of horizon areas is not necessarily the geometric mean of the extremal area, however. We outline the derivation of horizon invariants for stationary backgrounds. |
hep-th/9510100 | Ali Chamseddine | A. H. Chamseddine (Theoretische Physik, ETH, Zuerich) | A Family of Dual N=2 Supergravity Actions in Ten-Dimensions | 9 pages, tex file. references added | Phys.Lett. B367 (1996) 134-139 | 10.1016/0370-2693(95)01441-1 | null | hep-th | null | We show that non-chiral $N=2$ supergravity in ten-dimensions admits a family
of dual actions where the one-form, two-form or three-form is replaced by the
seven-form, six-form or five-form respectively. The dual actions and
supersymmetry transformations are given.
| [
{
"created": "Mon, 16 Oct 1995 08:46:21 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 1995 08:24:55 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Chamseddine",
"A. H.",
"",
"Theoretische Physik, ETH, Zuerich"
]
] | We show that non-chiral $N=2$ supergravity in ten-dimensions admits a family of dual actions where the one-form, two-form or three-form is replaced by the seven-form, six-form or five-form respectively. The dual actions and supersymmetry transformations are given. |
2005.03817 | Pei-Ming Ho | Pei-Ming Ho | From Uneventful Horizon to Firewall in D-Dimensional Effective Theory | 14 pages, 1 figure | null | 10.1142/S0217751X21501451 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming the standard effective-field-theoretic formulation of Hawking
radiation, we show explicitly how a generic effective theory predicts a
firewall from an initially uneventful horizon for a spherically symmetric,
uncharged black hole in $D$ dimensions for $D \geq 4$. The firewall is created
via higher-derivative interactions within the scrambling time after the
collapsing matter enters the trapping horizon. This result manifests the
trans-Planckian problem of Hawking radiation and demonstrates the
incompatibility between Hawking radiation and the uneventful horizon.
| [
{
"created": "Fri, 8 May 2020 01:46:14 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 2020 13:50:56 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Oct 2020 04:35:18 GMT",
"version": "v3"
}
] | 2021-08-04 | [
[
"Ho",
"Pei-Ming",
""
]
] | Assuming the standard effective-field-theoretic formulation of Hawking radiation, we show explicitly how a generic effective theory predicts a firewall from an initially uneventful horizon for a spherically symmetric, uncharged black hole in $D$ dimensions for $D \geq 4$. The firewall is created via higher-derivative interactions within the scrambling time after the collapsing matter enters the trapping horizon. This result manifests the trans-Planckian problem of Hawking radiation and demonstrates the incompatibility between Hawking radiation and the uneventful horizon. |
1908.01493 | Mao Zeng | Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P.
Solon, Mao Zeng | Black Hole Binary Dynamics from the Double Copy and Effective Theory | 134 pages, 32 figures | JHEP 10 (2019) 206 | 10.1007/JHEP10(2019)206 | CERN-TH-2019-128, CALT-TH 2019-026, UCLA/TEP/2019/103 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a systematic framework for computing the conservative potential
of a compact binary system using modern tools from scattering amplitudes and
effective field theory. Our approach combines methods for integration and
matching adapted from effective field theory, generalized unitarity, and the
double-copy construction, which relates gravity integrands to simpler
gauge-theory expressions. With these methods we derive the third
post-Minkowskian correction to the conservative two-body Hamiltonian for
spinless black holes. We describe in some detail various checks of our
integration methods and the resulting Hamiltonian.
| [
{
"created": "Mon, 5 Aug 2019 07:12:56 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2020 08:27:12 GMT",
"version": "v2"
}
] | 2020-02-17 | [
[
"Bern",
"Zvi",
""
],
[
"Cheung",
"Clifford",
""
],
[
"Roiban",
"Radu",
""
],
[
"Shen",
"Chia-Hsien",
""
],
[
"Solon",
"Mikhail P.",
""
],
[
"Zeng",
"Mao",
""
]
] | We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods for integration and matching adapted from effective field theory, generalized unitarity, and the double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. With these methods we derive the third post-Minkowskian correction to the conservative two-body Hamiltonian for spinless black holes. We describe in some detail various checks of our integration methods and the resulting Hamiltonian. |
1802.03693 | Damien A. Easson | Damien A. Easson and Tucker Manton | Stable Cosmic Time Crystals | 5 pages, 4 figures; matches version to appear in PRD | Phys. Rev. D 99, 043507 (2019) | 10.1103/PhysRevD.99.043507 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological time crystals are created when a scalar field moves periodically
through phase space in a spatially flat Friedmann-Robertson-Walker spacetime
due to the presence of a limit cycle. All such cosmological time crystals in
the literature suffer from gradient instabilities occurring at Null Energy
Condition violating phases where the square sound speed for cosmological
perturbations becomes negative. Here we present stable cosmological time
crystals. Our analysis suggests this new form of scalar matter--cosmic time
crystals--may be considered as a physically viable cosmological matter source.
| [
{
"created": "Sun, 11 Feb 2018 05:02:55 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2019 23:10:53 GMT",
"version": "v2"
}
] | 2019-02-13 | [
[
"Easson",
"Damien A.",
""
],
[
"Manton",
"Tucker",
""
]
] | Cosmological time crystals are created when a scalar field moves periodically through phase space in a spatially flat Friedmann-Robertson-Walker spacetime due to the presence of a limit cycle. All such cosmological time crystals in the literature suffer from gradient instabilities occurring at Null Energy Condition violating phases where the square sound speed for cosmological perturbations becomes negative. Here we present stable cosmological time crystals. Our analysis suggests this new form of scalar matter--cosmic time crystals--may be considered as a physically viable cosmological matter source. |
2111.00021 | Andrew Fitzpatrick | Nikhil Anand, A. Liam Fitzpatrick, Emanuel Katz, and Yuan Xin | Chiral Limit of 2d QCD Revisited with Lightcone Conformal Truncation | 24+8 pages, 12 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the chiral limit of 2d QCD with a single quark flavor at finite
$N_c$ using LCT. By modifying the LCT basis according to the quark mass in a
manner motivated by 't Hooft's analysis, we are able to restore convergence for
quark masses much smaller than the QCD strong coupling scale. For such small
quark masses, the IR of the theory is expected to be well described by the
Sine-Gordon model. We verify that LCT numerics are able to capture in detail
the spectrum and correlation functions of the Sine-Gordon model. This opens up
the possibility for studying deformations of various integrable CFTs using LCT
by considering the chiral limit of QCD like theories.
| [
{
"created": "Fri, 29 Oct 2021 18:00:03 GMT",
"version": "v1"
}
] | 2021-11-02 | [
[
"Anand",
"Nikhil",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Xin",
"Yuan",
""
]
] | We study the chiral limit of 2d QCD with a single quark flavor at finite $N_c$ using LCT. By modifying the LCT basis according to the quark mass in a manner motivated by 't Hooft's analysis, we are able to restore convergence for quark masses much smaller than the QCD strong coupling scale. For such small quark masses, the IR of the theory is expected to be well described by the Sine-Gordon model. We verify that LCT numerics are able to capture in detail the spectrum and correlation functions of the Sine-Gordon model. This opens up the possibility for studying deformations of various integrable CFTs using LCT by considering the chiral limit of QCD like theories. |
hep-th/0509055 | Jean Iliopoulos | E. G. Floratos and J. Iliopoulos | Gauge theories and non-commutative geometry | 12 pages | Phys.Lett.B632:566-570,2006 | 10.1016/j.physletb.2005.10.081 | LPTENS-05/27 | hep-th | null | It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be
formulated in a $d+2$-dimensional space, with the extra two dimensions forming
a surface with non-commutative geometry. In this paper we present an explicit
proof for the case of the torus and the sphere.
| [
{
"created": "Thu, 8 Sep 2005 12:09:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Floratos",
"E. G.",
""
],
[
"Iliopoulos",
"J.",
""
]
] | It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be formulated in a $d+2$-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. In this paper we present an explicit proof for the case of the torus and the sphere. |
hep-th/9507075 | null | Hitoshi Sato | Dual Polyhedra, Mirror Symmetry and Landau-Ginzburg Orbifolds | 8 pages, Latex | Mod.Phys.Lett. A11 (1996) 389-396 | 10.1142/S0217732396000436 | KOBE-TH-95-02 | hep-th alg-geom math.AG | null | New geometrical features of the Landau-Ginzburg orbifolds are presented, for
models with a typical type of superpotential. We show the one-to-one
correspondence between some of the $(a,c)$ states with $U(1)$ charges $(-1,1)$
and the integral points on the dual polyhedra, which are useful tools for the
construction of mirror manifolds. Relying on toric geometry, these states are
shown to correspond to the $(1,1)$ forms coming from blowing-up processes. In
terms of the above identification, it can be checked that the monomial-divisor
mirror map for Landau-Ginzburg orbifolds, proposed by the author, is equivalent
to that mirror map for Calabi-Yau manifolds obtained by the mathematicians.
| [
{
"created": "Thu, 13 Jul 1995 10:19:06 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Sato",
"Hitoshi",
""
]
] | New geometrical features of the Landau-Ginzburg orbifolds are presented, for models with a typical type of superpotential. We show the one-to-one correspondence between some of the $(a,c)$ states with $U(1)$ charges $(-1,1)$ and the integral points on the dual polyhedra, which are useful tools for the construction of mirror manifolds. Relying on toric geometry, these states are shown to correspond to the $(1,1)$ forms coming from blowing-up processes. In terms of the above identification, it can be checked that the monomial-divisor mirror map for Landau-Ginzburg orbifolds, proposed by the author, is equivalent to that mirror map for Calabi-Yau manifolds obtained by the mathematicians. |
2203.11180 | Jyotisekhar Bhattacharyya | J. S. Bhattacharyya | RNS model from a new angle for strings charged under the Maximal Gauge
Symmetry of the Standard model | We presented the paper in a new way to avoid confusion | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the RNS model from a new angle. The longitudinal and time
components of the world-sheet fermions add a $U(1)$ charge to a state. Unlike
the gauginos, the ground state fermions in the open string sector are complex;
spinor representations of $SU(3)_C\otimes SU(2)_L\otimes U(1)_{Y_W}$.
| [
{
"created": "Mon, 21 Mar 2022 17:56:37 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Apr 2023 11:14:22 GMT",
"version": "v10"
},
{
"created": "Tue, 29 Mar 2022 19:57:02 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Apr 2022 05:35:00 GMT",
"version": "v3"
},
{
"created": "Fri, 20 May 2022 10:13:29 GMT",
"version": "v4"
},
{
"created": "Tue, 24 May 2022 12:50:58 GMT",
"version": "v5"
},
{
"created": "Mon, 13 Jun 2022 17:14:22 GMT",
"version": "v6"
},
{
"created": "Wed, 27 Jul 2022 10:48:25 GMT",
"version": "v7"
},
{
"created": "Tue, 6 Sep 2022 04:56:03 GMT",
"version": "v8"
},
{
"created": "Tue, 14 Feb 2023 16:32:11 GMT",
"version": "v9"
}
] | 2023-04-20 | [
[
"Bhattacharyya",
"J. S.",
""
]
] | We consider the RNS model from a new angle. The longitudinal and time components of the world-sheet fermions add a $U(1)$ charge to a state. Unlike the gauginos, the ground state fermions in the open string sector are complex; spinor representations of $SU(3)_C\otimes SU(2)_L\otimes U(1)_{Y_W}$. |
1309.7984 | Andrei Mironov | S.Arthamonov, A.Mironov, A.Morozov and An.Morozov | Link polynomial calculus and the AENV conjecture | 20 pages | JHEP 04 (2014) 156 | 10.1007/JHEP04(2014)156 | FIAN/TD-13/13, ITEP/TH-37/13 | hep-th math.GT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the recently proposed differential hierarchy (Z-expansion) technique,
we obtain a general expression for the HOMFLY polynomials in two arbitrary
symmetric representations of link families, including Whitehead and Borromean
links. Among other things, this allows us to check and confirm the recent
conjecture of arXiv:1304.5778 that the large representation limit (the same as
considered in the knot volume conjecture) of this quantity matches the
prediction from mirror symmetry consideration. We also provide, using the
evolution method, the HOMFLY polynomial in two arbitrary symmetric
representations for an arbitrary member of the one-parametric family of
2-component 3-strand links, which includes the Hopf and Whitehead links.
| [
{
"created": "Mon, 30 Sep 2013 19:46:17 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Nov 2013 18:14:37 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Mar 2014 13:11:32 GMT",
"version": "v3"
}
] | 2014-05-07 | [
[
"Arthamonov",
"S.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Morozov",
"An.",
""
]
] | Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expression for the HOMFLY polynomials in two arbitrary symmetric representations of link families, including Whitehead and Borromean links. Among other things, this allows us to check and confirm the recent conjecture of arXiv:1304.5778 that the large representation limit (the same as considered in the knot volume conjecture) of this quantity matches the prediction from mirror symmetry consideration. We also provide, using the evolution method, the HOMFLY polynomial in two arbitrary symmetric representations for an arbitrary member of the one-parametric family of 2-component 3-strand links, which includes the Hopf and Whitehead links. |
hep-th/9309108 | Miao Li | Miao Li | Dirichlet String Theory and Singular Random Surfaces | 8 pages, BROWN-HET-923, a minor error is corrected | null | null | null | hep-th | null | We show that string theory with Dirichlet boundaries is equivalent to string
theory containing surfaces with certain singular points. Surface curvature is
singular at these points. A singular point is resolved in conformal coordinates
to a circle with Dirichlet boundary conditions. We also show that moduli
parameters of singular surfaces coincide with those of smooth surfaces with
boundaries. Singular surfaces with saddle points indeed arise in the strong
coupling expansion in lattice QCD. The kind of saddle point, which may be the
origin of a singular point we need, is of infinite order.
| [
{
"created": "Mon, 20 Sep 1993 19:01:21 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 1993 19:36:12 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Li",
"Miao",
""
]
] | We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. Singular surfaces with saddle points indeed arise in the strong coupling expansion in lattice QCD. The kind of saddle point, which may be the origin of a singular point we need, is of infinite order. |
1710.07298 | Seiji Terashima | Seiji Terashima | AdS/CFT Correspondence in Operator Formalism | 26 pages, references added | null | 10.1007/JHEP02(2018)019 | YITP-17-111 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the AdS/CFT correspondence in the operator formalism
without assuming the GKPW relation. We explicitly show that the low energy
spectrum of the large N limit of CFT, which is realized by a strong coupling
gauge theory, is identical to the spectrum of the free gravitational theory in
the global AdS spacetime under some assumptions which are expected to be valid.
Thus, two theories are equivalent for the low energy region under the
assumptions. Using this equivalence, the bulk local field is constructed and
the GKPW relation is derived.
| [
{
"created": "Thu, 19 Oct 2017 18:00:25 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2017 03:12:35 GMT",
"version": "v2"
}
] | 2018-03-14 | [
[
"Terashima",
"Seiji",
""
]
] | In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived. |
1011.3299 | El Hassan Saidi | R. Ahl Laamara, L.B Drissi, F.Z Hassani, E.H Saidi, A.A Soumail | Intersecting Black Attractors in 8D N=1 Supergravity | Latex, 30 pages | Nucl.Phys.B847:275-296,2011 | 10.1016/j.nuclphysb.2011.01.030 | LPHE-MS:10-03/CPM-10-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study intersecting extremal black attractors in non chiral 8D N=1
supergravity with moduli space ((SO(2,N))/(SO(2)\times SO(N)))\times SO(1,1)
and work out explicitly the attractor mechanism for various black p-brane
configurations with the typical near horizon geometries AdS_{p+2} \times S^{m}
\times T^{6-p-m}. We also give the classification of the solutions of the
attractor equations in terms of the SO(N-k) subgroups of SO(2)\times SO(N)
symmetry of the moduli space as well as their interpretations in terms of both
heterotic string on 2-torus and its type IIA dual. Other features such as non
trivial SO(1,7) central charges Z_{{\mu}_1...{\mu}_{p}} in 8D N=1 supergravity
and their connections to p-form gauge fields are also given. Key Words: 8D
Supergravity, Superstring compactifications, Attractor Mechanism, Intersecting
Attractors. PACS numbers: 04.70.-s, 11.25.-w, 04.65.+e, 04.70.-s, 04.50.+h,
04.70.Dy
| [
{
"created": "Mon, 15 Nov 2010 06:12:21 GMT",
"version": "v1"
}
] | 2011-06-02 | [
[
"Laamara",
"R. Ahl",
""
],
[
"Drissi",
"L. B",
""
],
[
"Hassani",
"F. Z",
""
],
[
"Saidi",
"E. H",
""
],
[
"Soumail",
"A. A",
""
]
] | We study intersecting extremal black attractors in non chiral 8D N=1 supergravity with moduli space ((SO(2,N))/(SO(2)\times SO(N)))\times SO(1,1) and work out explicitly the attractor mechanism for various black p-brane configurations with the typical near horizon geometries AdS_{p+2} \times S^{m} \times T^{6-p-m}. We also give the classification of the solutions of the attractor equations in terms of the SO(N-k) subgroups of SO(2)\times SO(N) symmetry of the moduli space as well as their interpretations in terms of both heterotic string on 2-torus and its type IIA dual. Other features such as non trivial SO(1,7) central charges Z_{{\mu}_1...{\mu}_{p}} in 8D N=1 supergravity and their connections to p-form gauge fields are also given. Key Words: 8D Supergravity, Superstring compactifications, Attractor Mechanism, Intersecting Attractors. PACS numbers: 04.70.-s, 11.25.-w, 04.65.+e, 04.70.-s, 04.50.+h, 04.70.Dy |
hep-th/9604090 | Harald Soleng | Mirjam Cvetic and Harald H. Soleng | Supergravity Domain Walls | LaTeX2e using amtex, amssymb, epsfig, subfigure, and afterpage; 88
pages, 25 PostScript figures, review | Phys.Rept.282:159-223,1997 | 10.1016/S0370-1573(96)00035-X | IASSNS-HEP-96/25, CERN-TH/96-97 | hep-th gr-qc hep-ph | null | We review the status of domain walls in $N=1$ supergravity theories for both
the vacuum domain walls as well as dilatonic domain walls. We concentrate on a
systematic analysis of the nature of the space-time in such domain wall
backgrounds and the special role that supersymmetry is playing in determining
the nature of such configurations.
| [
{
"created": "Tue, 16 Apr 1996 19:56:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Soleng",
"Harald H.",
""
]
] | We review the status of domain walls in $N=1$ supergravity theories for both the vacuum domain walls as well as dilatonic domain walls. We concentrate on a systematic analysis of the nature of the space-time in such domain wall backgrounds and the special role that supersymmetry is playing in determining the nature of such configurations. |
hep-th/0511060 | Lorenzo Fatibene | A. Borowiec, L. Fatibene, M. Ferraris, M. Francaviglia | Covariant Lagrangian Formulation of Chern-Simons and BF Theories | 23 pages, refs. added | Int.J.Geom.Meth.Mod.Phys.3:755-774,2006;
Int.J.Geom.Meth.Mod.Phys.4:277,2007 | 10.1142/S0219887807001990 | null | hep-th | null | We investigate the covariant formulation of Chern-Simons theories in a
general odd dimension which can be obtained by introducing a vacuum connection
field as a reference. Field equations, Noether currents and superpotentials are
computed so that results are easily compared with the well-known results in
dimension 3. Finally we use this covariant formulation of Chern-Simons theories
to investigate their relation with topological BF theories.
| [
{
"created": "Fri, 4 Nov 2005 19:19:28 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Nov 2005 16:07:39 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Dec 2005 13:34:08 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Borowiec",
"A.",
""
],
[
"Fatibene",
"L.",
""
],
[
"Ferraris",
"M.",
""
],
[
"Francaviglia",
"M.",
""
]
] | We investigate the covariant formulation of Chern-Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Noether currents and superpotentials are computed so that results are easily compared with the well-known results in dimension 3. Finally we use this covariant formulation of Chern-Simons theories to investigate their relation with topological BF theories. |
hep-th/9506037 | Kumar Alok | Anindya K. Biswas, Alok Kumar and Koushik Ray (Institute of Physics,
Bhubaneswar, India.) | Symmetries of Heterotic String Theory | 26 pages, Few comments added, version to appear in Nuclear Physics B | Nucl.Phys. B453 (1995) 181-198 | 10.1016/0550-3213(95)00432-R | IP/BBSR/95-51 | hep-th | null | We study the symmetries of the two dimensional Heterotic string theory by
following the approach of Kinnersley et al for the study of stationary-axially
symmetric Einstein-Maxwell equations. We identify the finite dimensional groups
$G'$ and $H'$ for the Einstein-Maxwell equations. We also give the
constructions for the infinite number of conserved currents and the affine
$\hat{o}(8, 24)$ symmetry algebra in this formulation. The generalized Ehlers
and Harrison transformations are identified and a parallel between the infinite
dimensional symmetry algebra for the heterotic string case with $\hat{sl}(3,
R)$ that arise in the case of Einstein-Maxwell equations is pointed out.
| [
{
"created": "Wed, 7 Jun 1995 07:25:38 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jun 1995 19:04:40 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Aug 1995 20:27:07 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Biswas",
"Anindya K.",
"",
"Institute of Physics,\n Bhubaneswar, India."
],
[
"Kumar",
"Alok",
"",
"Institute of Physics,\n Bhubaneswar, India."
],
[
"Ray",
"Koushik",
"",
"Institute of Physics,\n Bhubaneswar, India."
]
] | We study the symmetries of the two dimensional Heterotic string theory by following the approach of Kinnersley et al for the study of stationary-axially symmetric Einstein-Maxwell equations. We identify the finite dimensional groups $G'$ and $H'$ for the Einstein-Maxwell equations. We also give the constructions for the infinite number of conserved currents and the affine $\hat{o}(8, 24)$ symmetry algebra in this formulation. The generalized Ehlers and Harrison transformations are identified and a parallel between the infinite dimensional symmetry algebra for the heterotic string case with $\hat{sl}(3, R)$ that arise in the case of Einstein-Maxwell equations is pointed out. |
hep-th/0112231 | Ricardo Schiappa | Marcos Marino and Ricardo Schiappa | Towards Vacuum Superstring Field Theory: The Supersliver | 45 pages, JHEP style | J.Math.Phys. 44 (2003) 156-187 | 10.1063/1.1523149 | HUTP-01/A061 | hep-th math-ph math.MP math.QA | null | We extend some aspects of vacuum string field theory to superstring field
theory in Berkovits' formulation, and we study the star algebra in the
fermionic matter sector. After clarifying the structure of the interaction
vertex in the operator formalism of Gross and Jevicki, we provide an algebraic
construction of the supersliver state in terms of infinite-dimensional
matrices. This state is an idempotent string field and solves the matter part
of the equation of motion of superstring field theory with a pure ghost BRST
operator. We determine the spectrum of eigenvalues and eigenvectors of the
infinite-dimensional matrices of Neumann coefficients in the fermionic matter
sector. We then analyze coherent states based on the supersliver and use them
in order to construct higher-rank projector solutions, as well as to construct
closed subalgebras of the star algebra in the fermionic matter sector. Finally,
we show that the geometric supersliver is a solution to the superstring field
theory equations of motion, including the (super)ghost sector, with the
canonical choice of vacuum BRST operator recently proposed by Gaiotto,
Rastelli, Sen and Zwiebach.
| [
{
"created": "Tue, 25 Dec 2001 18:14:22 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jan 2002 23:23:42 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Marino",
"Marcos",
""
],
[
"Schiappa",
"Ricardo",
""
]
] | We extend some aspects of vacuum string field theory to superstring field theory in Berkovits' formulation, and we study the star algebra in the fermionic matter sector. After clarifying the structure of the interaction vertex in the operator formalism of Gross and Jevicki, we provide an algebraic construction of the supersliver state in terms of infinite-dimensional matrices. This state is an idempotent string field and solves the matter part of the equation of motion of superstring field theory with a pure ghost BRST operator. We determine the spectrum of eigenvalues and eigenvectors of the infinite-dimensional matrices of Neumann coefficients in the fermionic matter sector. We then analyze coherent states based on the supersliver and use them in order to construct higher-rank projector solutions, as well as to construct closed subalgebras of the star algebra in the fermionic matter sector. Finally, we show that the geometric supersliver is a solution to the superstring field theory equations of motion, including the (super)ghost sector, with the canonical choice of vacuum BRST operator recently proposed by Gaiotto, Rastelli, Sen and Zwiebach. |
1205.5954 | Fu-Wen Shu | Fu-Wen Shu, and Yungui Gong | Causality Constraint on Noncritical Einstein-Weyl Gravity | 18 pages, 1 figures, Major revision was made, matches published
version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore, in the context of AdS/CFT correspondence, the causality
constraints on the Noncritical Einstein-Weyl (NEW) gravity model in five
dimensions. The scalar and shear channels are considered as small metric
perturbations around an AdS black brane background. Our results show that
causality analysis on the propagation of these two channels imposes a new bound
on the coupling of the Weyl-squared terms in the NEW gravity. This new bound
imposes more stringent restrictions than those of the tachyon-free condition,
improving predictive power of the theory.
| [
{
"created": "Sun, 27 May 2012 10:18:24 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 2014 01:32:54 GMT",
"version": "v2"
}
] | 2014-11-03 | [
[
"Shu",
"Fu-Wen",
""
],
[
"Gong",
"Yungui",
""
]
] | We explore, in the context of AdS/CFT correspondence, the causality constraints on the Noncritical Einstein-Weyl (NEW) gravity model in five dimensions. The scalar and shear channels are considered as small metric perturbations around an AdS black brane background. Our results show that causality analysis on the propagation of these two channels imposes a new bound on the coupling of the Weyl-squared terms in the NEW gravity. This new bound imposes more stringent restrictions than those of the tachyon-free condition, improving predictive power of the theory. |
hep-th/9402064 | Sergei Krivonos | S.Krivonos and A.Sorin | The $N=2$ Super-$W_3^{(2)}$ Algebra | 9 pages, LaTeX | null | null | null | hep-th | null | We construct the nonlinear $N=2$ super-$W_3^{(2)}$ algebra with an arbitrary
central charge at the classical level in the framework of Polyakov "soldering"
procedure. It contains two non-intersecting subalgebras: $N=2$ superconformal
algebra and $W_3^{(2)}$ and their closure gives the $N=2$ super-$W_3^{(2)}$
algebra. Besides the currents of $N=2$ superconformal and $W_3^{(2)}$ algebras,
it comprises two pairs of fermionic currents with spins 1 and 2. The hybrid
field realization and contractions to the zero central charge are constructed.
| [
{
"created": "Thu, 10 Feb 1994 18:59:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] | We construct the nonlinear $N=2$ super-$W_3^{(2)}$ algebra with an arbitrary central charge at the classical level in the framework of Polyakov "soldering" procedure. It contains two non-intersecting subalgebras: $N=2$ superconformal algebra and $W_3^{(2)}$ and their closure gives the $N=2$ super-$W_3^{(2)}$ algebra. Besides the currents of $N=2$ superconformal and $W_3^{(2)}$ algebras, it comprises two pairs of fermionic currents with spins 1 and 2. The hybrid field realization and contractions to the zero central charge are constructed. |
hep-th/0505185 | Jan Gutowski | Jan B. Gutowski, Wafic Sabra | General Supersymmetric Solutions of Five-Dimensional Supergravity | 24 pages, references added, uses JHEP3.cls | JHEP 0510 (2005) 039 | 10.1088/1126-6708/2005/10/039 | null | hep-th | null | The classification of 1/4-supersymmetric solutions of five dimensional gauged
supergravity coupled to arbitrary many abelian vector multiplets, which was
initiated in hep-th/0401129, is completed. The structure of all solutions for
which the Killing vector constructed from the Killing spinor is null is
investigated in both the gauged and the ungauged theories and some new
solutions are constructed.
| [
{
"created": "Fri, 20 May 2005 20:28:45 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2005 15:02:22 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Gutowski",
"Jan B.",
""
],
[
"Sabra",
"Wafic",
""
]
] | The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which the Killing vector constructed from the Killing spinor is null is investigated in both the gauged and the ungauged theories and some new solutions are constructed. |
hep-th/9807070 | null | J.J.M. Verbaarschot | Characterization of Universal Behavior in QCD Dirac Spectra | 12 pages, Latex and 4 postscript figures; Invited talk given at the
3rd Workshop on Continuous Advances in QCD, Minneapolis, April 1998 | null | null | SUNY-NTG-98/26 | hep-th | null | In this lecture we discuss correlations of the QCD Dirac eigenvalues. We find
that below a scale of $E_c\sim \Lambda/L^2$ they are given by chiral Random
Matrix Theory. This follows from analytical arguments based on partially
quenched Chiral Perturbation Theory and is substantiated by lattice QCD and
instanton liquid simulations.
| [
{
"created": "Thu, 9 Jul 1998 15:48:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Verbaarschot",
"J. J. M.",
""
]
] | In this lecture we discuss correlations of the QCD Dirac eigenvalues. We find that below a scale of $E_c\sim \Lambda/L^2$ they are given by chiral Random Matrix Theory. This follows from analytical arguments based on partially quenched Chiral Perturbation Theory and is substantiated by lattice QCD and instanton liquid simulations. |
1611.09330 | Alejandra Castro | Tomas Andrade, Alejandra Castro and Diego Cohen-Maldonado | The Spectrum of Static Subtracted Geometries | 30 pages, 2 figures. v2: references added. v3: minor corrections to
match with published version | null | 10.1088/1361-6382/aa66fa | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Subtracted geometries are black hole solutions of the four dimensional STU
model with rather interesting ties to asymptotically flat black holes. A
peculiar feature is that the solutions to the Klein-Gordon equation on this
subtracted background can be organized according to representations of the
conformal group $SO(2,2)$. We test if this behavior persists for the linearized
fluctuations of gravitational and matter fields on static, electrically charged
backgrounds of this kind. We find that there is a subsector of the modes that
do display conformal symmetry, while some modes do not. We also discuss two
different effective actions that describe these subtracted geometries and how
the spectrum of quasinormal modes is dramatically different depending upon the
action used.
| [
{
"created": "Mon, 28 Nov 2016 20:36:42 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Dec 2016 08:18:05 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Mar 2017 12:52:21 GMT",
"version": "v3"
}
] | 2017-04-19 | [
[
"Andrade",
"Tomas",
""
],
[
"Castro",
"Alejandra",
""
],
[
"Cohen-Maldonado",
"Diego",
""
]
] | Subtracted geometries are black hole solutions of the four dimensional STU model with rather interesting ties to asymptotically flat black holes. A peculiar feature is that the solutions to the Klein-Gordon equation on this subtracted background can be organized according to representations of the conformal group $SO(2,2)$. We test if this behavior persists for the linearized fluctuations of gravitational and matter fields on static, electrically charged backgrounds of this kind. We find that there is a subsector of the modes that do display conformal symmetry, while some modes do not. We also discuss two different effective actions that describe these subtracted geometries and how the spectrum of quasinormal modes is dramatically different depending upon the action used. |
2306.02122 | Nikolaos Mavromatos | Nick E. Mavromatos and Sarben sarkar | Axion effective potentials induced by heavy sterile fermions | 21 pages revtex, one pdf figure incorporated, references on axionic
dark matter added, no effects on conclusions | null | null | KCL-PH-TH/2022-58 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A model of (3+1)-dimensional leptogenesis, proposed previously by the
authors, requires a CPT Violating (CPTV) background of the Kalb-Ramond (KR)
axion field. The KR axion is a pseudoscalar, which is dual to the field
strength of the spin-one field present in the massless gravitational multiplet
in the theory of closed bosonic strings (compactified to four dimensions).
Microscopic models for the emergence of such backgrounds are provided both by
low-energy string-inspired gravitational theories with torsion (including
(primordial) gravitational and axial gauge anomalies) and by Einstein-Cartan
gravity, a closely related simpler model. In this work we examine the
pseudoscalar quanta of the KR axion in this background using the methods of
effective field theory. In our model for leptogenesis there is a single sterile
{right-handed} neutrino (RHN) with mass $m_N$. At energies lower than $m_N$, an
axion potential is derived by integrating out {at one loop} the sterile
neutrino in the spirit of effective field theory. The stability of this axion
potential is important for the viability of our model. The vacuum of this
potential is generally metastable. The stability of the vacuum is determined by
the ratio of the torsion-induced-axion coupling (which depends on the string
mass scale) to $m_N$, which should be larger or equal to one, for the validity
of our effective field theory. The vacuum is metastable only for axion
couplings much larger than the sterile neutrino mass (large string mass scales,
e.g. comparable to the four-dimensional Planck mass), with a lifetime much
larger than the age of the observable Universe. By contrast, if axion couplings
are comparable to the RHN mass the false vacuum is highly unstable, with a
lifetime much smaller than the age of the observable Universe; in this case the
CPTV leptogenesis scenario is not viable.
| [
{
"created": "Sat, 3 Jun 2023 14:28:10 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 22:09:54 GMT",
"version": "v2"
}
] | 2023-06-09 | [
[
"Mavromatos",
"Nick E.",
""
],
[
"sarkar",
"Sarben",
""
]
] | A model of (3+1)-dimensional leptogenesis, proposed previously by the authors, requires a CPT Violating (CPTV) background of the Kalb-Ramond (KR) axion field. The KR axion is a pseudoscalar, which is dual to the field strength of the spin-one field present in the massless gravitational multiplet in the theory of closed bosonic strings (compactified to four dimensions). Microscopic models for the emergence of such backgrounds are provided both by low-energy string-inspired gravitational theories with torsion (including (primordial) gravitational and axial gauge anomalies) and by Einstein-Cartan gravity, a closely related simpler model. In this work we examine the pseudoscalar quanta of the KR axion in this background using the methods of effective field theory. In our model for leptogenesis there is a single sterile {right-handed} neutrino (RHN) with mass $m_N$. At energies lower than $m_N$, an axion potential is derived by integrating out {at one loop} the sterile neutrino in the spirit of effective field theory. The stability of this axion potential is important for the viability of our model. The vacuum of this potential is generally metastable. The stability of the vacuum is determined by the ratio of the torsion-induced-axion coupling (which depends on the string mass scale) to $m_N$, which should be larger or equal to one, for the validity of our effective field theory. The vacuum is metastable only for axion couplings much larger than the sterile neutrino mass (large string mass scales, e.g. comparable to the four-dimensional Planck mass), with a lifetime much larger than the age of the observable Universe. By contrast, if axion couplings are comparable to the RHN mass the false vacuum is highly unstable, with a lifetime much smaller than the age of the observable Universe; in this case the CPTV leptogenesis scenario is not viable. |
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