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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2309.12402 | Yifei He | Yifei He, Martin Kruczenski | Bootstrapping gauge theories | v2: 41 pages, 10 figures; references added, clarifications made,
typos corrected | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider asymptotically free gauge theories with gauge group $SU(N_c)$ and
$N_f$ quarks with mass $m_q\ll \Lambda_{\text{QCD}}$ that undergo chiral
symmetry breaking and confinement. We propose a bootstrap method to compute the
S-matrix of the pseudo-Goldstone bosons (pions) that dominate the low energy
physics. For the important case of $N_c=3$, $N_f=2$, a numerical implementation
of the method gives the phase shifts of the $S0$, $P1$ and $S2$ waves in good
agreement with experimental results. The method incorporates gauge theory
information ($N_c$, $N_f$, $m_q$, $\Lambda_{\text{QCD}}$) by using the
form-factor bootstrap recently proposed by Karateev, Kuhn and Penedones
together with a finite energy version of the SVZ sum rules. At low energy we
impose constraints from chiral symmetry breaking. The only low energy numerical
inputs are the pion mass $m_\pi$ and the quark and gluon condensates.
| [
{
"created": "Thu, 21 Sep 2023 18:04:33 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Oct 2023 12:59:40 GMT",
"version": "v2"
}
] | 2023-10-31 | [
[
"He",
"Yifei",
""
],
[
"Kruczenski",
"Martin",
""
]
] | We consider asymptotically free gauge theories with gauge group $SU(N_c)$ and $N_f$ quarks with mass $m_q\ll \Lambda_{\text{QCD}}$ that undergo chiral symmetry breaking and confinement. We propose a bootstrap method to compute the S-matrix of the pseudo-Goldstone bosons (pions) that dominate the low energy physics. For the important case of $N_c=3$, $N_f=2$, a numerical implementation of the method gives the phase shifts of the $S0$, $P1$ and $S2$ waves in good agreement with experimental results. The method incorporates gauge theory information ($N_c$, $N_f$, $m_q$, $\Lambda_{\text{QCD}}$) by using the form-factor bootstrap recently proposed by Karateev, Kuhn and Penedones together with a finite energy version of the SVZ sum rules. At low energy we impose constraints from chiral symmetry breaking. The only low energy numerical inputs are the pion mass $m_\pi$ and the quark and gluon condensates. |
hep-th/9811212 | James Osborn | P.H. Damgaard, J.C. Osborn, D. Toublan, J.J.M. Verbaarschot | The Microscopic Spectral Density of the QCD Dirac Operator | 26 pages, Latex | Nucl.Phys. B547 (1999) 305-328 | 10.1016/S0550-3213(99)00094-2 | SUNY-NTG-98/62, NBI-HE-98-38 | hep-th cond-mat.dis-nn | null | We derive the microscopic spectral density of the Dirac operator in
$SU(N_c\geq 3)$ Yang-Mills theory coupled to $N_f$ fermions in the fundamental
representation. An essential technical ingredient is an exact rewriting of this
density in terms of integrations over the super Riemannian manifold
$Gl(N_f+1|1)$. The result agrees exactly with earlier calculations based on
Random Matrix Theory.
| [
{
"created": "Tue, 24 Nov 1998 22:54:31 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Damgaard",
"P. H.",
""
],
[
"Osborn",
"J. C.",
""
],
[
"Toublan",
"D.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We derive the microscopic spectral density of the Dirac operator in $SU(N_c\geq 3)$ Yang-Mills theory coupled to $N_f$ fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold $Gl(N_f+1|1)$. The result agrees exactly with earlier calculations based on Random Matrix Theory. |
2206.11818 | Yu-Xuan Zhang | Wu-zhong Guo, Song He, Yu-Xuan Zhang | On the real-time evolution of pseudo-entropy in 2d CFTs | 34 pages, 7 figures, 1 table v2: typos corrected, references added | null | 10.1007/JHEP09(2022)094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a
generalization of entanglement entropy, in two-dimensional conformal field
theories (CFTs). We focus on states obtained by acting primary operators
located at different space points or their linear combinations on the vacuum.
We show the similarities and differences between the pseudo-(R\'enyi) entropy
and entanglement entropy. For excitation by a single primary operator, we
analyze the behaviors of the 2nd pseudo-R\'enyi entropy in various limits and
find some symmetries associated with the subsystem and the positions of the
insertion operators. For excitation by linear combinations, the late time limit
of the $n$th pseudo-R\'enyi entropy shows a simple form related to the
coefficients of the combinations and R\'enyi entropy of the operators, which
can be derived by using the Schmidt decomposition. Further, we find two kinds
of particular spatial configurations of insertion operators in one of which the
pseudo-(R\'enyi) entropy remains real throughout the time evolution.
| [
{
"created": "Thu, 23 Jun 2022 16:41:00 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jul 2022 13:34:51 GMT",
"version": "v2"
}
] | 2022-09-28 | [
[
"Guo",
"Wu-zhong",
""
],
[
"He",
"Song",
""
],
[
"Zhang",
"Yu-Xuan",
""
]
] | In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at different space points or their linear combinations on the vacuum. We show the similarities and differences between the pseudo-(R\'enyi) entropy and entanglement entropy. For excitation by a single primary operator, we analyze the behaviors of the 2nd pseudo-R\'enyi entropy in various limits and find some symmetries associated with the subsystem and the positions of the insertion operators. For excitation by linear combinations, the late time limit of the $n$th pseudo-R\'enyi entropy shows a simple form related to the coefficients of the combinations and R\'enyi entropy of the operators, which can be derived by using the Schmidt decomposition. Further, we find two kinds of particular spatial configurations of insertion operators in one of which the pseudo-(R\'enyi) entropy remains real throughout the time evolution. |
2104.02744 | Claude Fleming | Shunsuke Yabunaka, Claude Fleming, Bertrand Delamotte | Incompleteness of the large-$N$ analysis of the $O(N)$ models:
Nonperturbative cuspy fixed points and their nontrivial homotopy at finite
$N$ | 20 pages, 17 figures | Phys.Rev.E 106 (2022) 5, 054105 | 10.1103/PhysRevE.106.054105 | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | We summarize the usual implementations of the large $N$ limit of $O(N)$
models and show in detail why and how they can miss some physically important
fixed points when they become singular in the limit $N\to\infty$. Using
Wilson's renormalization group in its functional nonperturbative versions, we
show how the singularities build up as $N$ increases. In the Wilson-Polchinski
version of the nonperturbative renormalization group, we show that the
singularities are cusps, which become boundary layers for finite but large
values of $N$. The corresponding fixed points being never close to the
Gaussian, are out of reach of the usual perturbative approaches. We find four
new fixed points and study them in all dimensions and for all $N>0$ and show
that they play an important role for the tricritical physics of $O(N)$ models.
Finally, we show that some of these fixed points are bi-valued when they are
considered as functions of $d$ and $N$ thus revealing important and nontrivial
homotopy structures.
The Bardeen-Moshe-Bander phenomenon that occurs at $N=\infty$ and $d=3$ is
shown to play a crucial role for the internal consistency of all our results.
| [
{
"created": "Tue, 6 Apr 2021 18:41:56 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2021 00:31:00 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Nov 2022 04:53:16 GMT",
"version": "v3"
}
] | 2022-11-17 | [
[
"Yabunaka",
"Shunsuke",
""
],
[
"Fleming",
"Claude",
""
],
[
"Delamotte",
"Bertrand",
""
]
] | We summarize the usual implementations of the large $N$ limit of $O(N)$ models and show in detail why and how they can miss some physically important fixed points when they become singular in the limit $N\to\infty$. Using Wilson's renormalization group in its functional nonperturbative versions, we show how the singularities build up as $N$ increases. In the Wilson-Polchinski version of the nonperturbative renormalization group, we show that the singularities are cusps, which become boundary layers for finite but large values of $N$. The corresponding fixed points being never close to the Gaussian, are out of reach of the usual perturbative approaches. We find four new fixed points and study them in all dimensions and for all $N>0$ and show that they play an important role for the tricritical physics of $O(N)$ models. Finally, we show that some of these fixed points are bi-valued when they are considered as functions of $d$ and $N$ thus revealing important and nontrivial homotopy structures. The Bardeen-Moshe-Bander phenomenon that occurs at $N=\infty$ and $d=3$ is shown to play a crucial role for the internal consistency of all our results. |
2010.03560 | Milind Shyani | Shamit Kachru, Milind Shyani | Holographic non-Fermi liquids at large $d$ | 21+11 pages | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the results of Dynamical Mean Field Theory, we study the
two-point function of fermions moving in a charged black brane background in
$AdS_{d+1}$ in the limit of large $d$. We observe the emergence of a locally
critical form of the fermion self-energy, with a strongly constrained range of
possible scaling behaviors at large $d$. Novelties compared to the analysis in
$d=3,4$ include an enlarged regime of temperatures where the results apply, and
the analytical tractability of the calculations.
| [
{
"created": "Wed, 7 Oct 2020 17:59:58 GMT",
"version": "v1"
}
] | 2020-10-08 | [
[
"Kachru",
"Shamit",
""
],
[
"Shyani",
"Milind",
""
]
] | Motivated by the results of Dynamical Mean Field Theory, we study the two-point function of fermions moving in a charged black brane background in $AdS_{d+1}$ in the limit of large $d$. We observe the emergence of a locally critical form of the fermion self-energy, with a strongly constrained range of possible scaling behaviors at large $d$. Novelties compared to the analysis in $d=3,4$ include an enlarged regime of temperatures where the results apply, and the analytical tractability of the calculations. |
hep-th/9702155 | Brian Greene | Brian Greene | String Theory on Calabi-Yau Manifolds | LaTeX file; 150 pages; please latex 3 times; contains 44 figures in
postscript format. Lectures given at TASI96 | null | null | CU-TP-812 | hep-th | null | These lectures are devoted to introducing some of the basic features of
quantum geometry that have been emerging from compactified string theory over
the last couple of years. The developments discussed include new geometric
features of string theory which occur even at the classical level as well as
those which require non-perturbative effects. These lecture notes are based on
an evolving set of lectures presented at a number of schools but most closely
follow a series of seven lectures given at the TASI-96 summer school on
Strings, Fields and Duality.
| [
{
"created": "Sun, 23 Feb 1997 10:27:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Greene",
"Brian",
""
]
] | These lectures are devoted to introducing some of the basic features of quantum geometry that have been emerging from compactified string theory over the last couple of years. The developments discussed include new geometric features of string theory which occur even at the classical level as well as those which require non-perturbative effects. These lecture notes are based on an evolving set of lectures presented at a number of schools but most closely follow a series of seven lectures given at the TASI-96 summer school on Strings, Fields and Duality. |
1701.00641 | Stefano Cremonesi | Stefano Cremonesi | 3d supersymmetric gauge theories and Hilbert series | Conference paper for String-Math 2016, College de France, Paris. 27
pages, 9 figures. v2: typos corrected, version accepted for publication | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Hilbert series is a generating function that enumerates gauge invariant
chiral operators of a supersymmetric field theory with four supercharges and an
R-symmetry. In this article I review how counting dressed 't Hooft monopole
operators leads to a formula for the Hilbert series of a 3d $\mathcal{N}\geq 2$
gauge theory, which captures precious information about the chiral ring and the
moduli space of supersymmetric vacua of the theory.
| [
{
"created": "Tue, 3 Jan 2017 10:40:15 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Sep 2017 10:46:20 GMT",
"version": "v2"
}
] | 2017-10-02 | [
[
"Cremonesi",
"Stefano",
""
]
] | The Hilbert series is a generating function that enumerates gauge invariant chiral operators of a supersymmetric field theory with four supercharges and an R-symmetry. In this article I review how counting dressed 't Hooft monopole operators leads to a formula for the Hilbert series of a 3d $\mathcal{N}\geq 2$ gauge theory, which captures precious information about the chiral ring and the moduli space of supersymmetric vacua of the theory. |
hep-th/0010178 | Tim | D. A. Steer, A. Gomez Nicola, R. J. Rivers and T. S. Evans | Exploiting duality in a toy model of QCD at non-zero temperature and
chemical potential: the massive Thirring model, sine-Gordon model and Coulomb
gases | 5 pages, 1 figure, talk given by D.A.Steer at Strong and Electro-Weak
Matter 2000 (SEWM 2000), Marseille, 14 - 17 June 2000 | null | null | Imperial/TP/00-01/002 | hep-th | null | We focus on the massive Thirring model in 1+1 dimensions at finite
temperature and non-zero chemical potential, and comment on some parallels
between this model and QCD. In QCD, calculations of physical quantities such as
transport coefficients are extremely difficult. In the massive Thirring model,
similar calculations are greatly simplified by exploiting the duality which
exists with the sine-Gordon model and its relation, at high temperature, to the
exactly solvable classical Coulomb gas on the line.
| [
{
"created": "Fri, 20 Oct 2000 14:12:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Steer",
"D. A.",
""
],
[
"Nicola",
"A. Gomez",
""
],
[
"Rivers",
"R. J.",
""
],
[
"Evans",
"T. S.",
""
]
] | We focus on the massive Thirring model in 1+1 dimensions at finite temperature and non-zero chemical potential, and comment on some parallels between this model and QCD. In QCD, calculations of physical quantities such as transport coefficients are extremely difficult. In the massive Thirring model, similar calculations are greatly simplified by exploiting the duality which exists with the sine-Gordon model and its relation, at high temperature, to the exactly solvable classical Coulomb gas on the line. |
hep-th/9805152 | Sergey M. Kuzenko | N. Dragon, E. Ivanov, S. Kuzenko, E. Sokatchev and U. Theis | N=2 Rigid Supersymmetry with Gauged Central Charge | 46 pages, latex, no figures | Nucl.Phys. B538 (1999) 411-450 | 10.1016/S0550-3213(98)00708-1 | LAPTH-684/98, JINR E2-98-54, ITP-UH-08/98 | hep-th | null | We develop a general setting for N=2 rigid supersymmetric field theories with
gauged central charge in harmonic superspace. We consider those N=2 multiplets
which have a finite number of off-shell components and exist off shell owing to
a non-trivial central charge. This class includes, in particular, the
hypermultiplet with central charge and various versions of the vector-tensor
multiplet. For such theories we present a manifestly supersymmetric universal
action. Chern-Simons couplings to an external N=2 super Yang-Mills multiplet
are given, in harmonic superspace, for both the linear and nonlinear
vector-tensor multiplets with gauged central charge. We show how to deduce the
linear version of the vector-tensor multiplet from six dimensions.
| [
{
"created": "Sat, 23 May 1998 03:17:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dragon",
"N.",
""
],
[
"Ivanov",
"E.",
""
],
[
"Kuzenko",
"S.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"Theis",
"U.",
""
]
] | We develop a general setting for N=2 rigid supersymmetric field theories with gauged central charge in harmonic superspace. We consider those N=2 multiplets which have a finite number of off-shell components and exist off shell owing to a non-trivial central charge. This class includes, in particular, the hypermultiplet with central charge and various versions of the vector-tensor multiplet. For such theories we present a manifestly supersymmetric universal action. Chern-Simons couplings to an external N=2 super Yang-Mills multiplet are given, in harmonic superspace, for both the linear and nonlinear vector-tensor multiplets with gauged central charge. We show how to deduce the linear version of the vector-tensor multiplet from six dimensions. |
1208.5358 | Vasilis Oikonomou | V. K. Oikonomou | Singularities of the Casimir Energy for Quantum Field Theories with
Lifshitz Dimensions | Major Revision, Similar to Journal Version | null | 10.1016/j.physletb.2013.03.013 | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the singularities that the Casimir energy of a scalar field in
spacetimes with Lifshitz dimensions exhibits, and provide expressions of the
energy in terms of multidimensional zeta functions for the massless case. Using
the zeta-regularization method, we found that when the 4-dimensional spacetime
has Lifshitz dimensions, then for specific values of the critical exponents,
the Casimir energy is singular, in contrast to the non-Lifshitz case.
Particularly we found that when the value of the critical exponent is $z=2$,
the Casimir energy is singular, while for $z\geq 3$ the Casimir energy is
regular. In addition, when flat extra dimensions are considered, the critical
exponents of the Lifshitz dimensions affect drastically the Casimir energy,
introducing singularities that are absent in the non-Lifshitz case. We also
discuss the Casimir energy in the context of braneworld models and the
perspective of Lifshitz dimensions in such framework.
| [
{
"created": "Mon, 27 Aug 2012 10:57:14 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2013 14:32:32 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Oikonomou",
"V. K.",
""
]
] | We study the singularities that the Casimir energy of a scalar field in spacetimes with Lifshitz dimensions exhibits, and provide expressions of the energy in terms of multidimensional zeta functions for the massless case. Using the zeta-regularization method, we found that when the 4-dimensional spacetime has Lifshitz dimensions, then for specific values of the critical exponents, the Casimir energy is singular, in contrast to the non-Lifshitz case. Particularly we found that when the value of the critical exponent is $z=2$, the Casimir energy is singular, while for $z\geq 3$ the Casimir energy is regular. In addition, when flat extra dimensions are considered, the critical exponents of the Lifshitz dimensions affect drastically the Casimir energy, introducing singularities that are absent in the non-Lifshitz case. We also discuss the Casimir energy in the context of braneworld models and the perspective of Lifshitz dimensions in such framework. |
1505.04641 | Martin Fluder | Luis F. Alday, Martin Fluder, Carolina M. Gregory, Paul Richmond and
James Sparks | Supersymmetric solutions to Euclidean Romans supergravity | 31 pages; v2: published version (with reference added) | JHEP 02 (2016) 100 | 10.1007/JHEP02(2016)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Euclidean Romans supergravity in six dimensions with a non-trivial
Abelian R-symmetry gauge field. We show that supersymmetric solutions are in
one-to-one correspondence with solutions to a set of differential constraints
on an SU(2) structure. As an application of our results we (i) show that this
structure reduces at a conformal boundary to the five-dimensional rigid
supersymmetric geometry previously studied by the authors, (ii) find a general
expression for the holographic dual of the VEV of a BPS Wilson loop, matching
an exact field theory computation, (iii) construct holographic duals to
squashed Sasaki-Einstein backgrounds, again matching to a field theory
computation, and (iv) find new analytic solutions.
| [
{
"created": "Mon, 18 May 2015 13:50:27 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2016 05:21:25 GMT",
"version": "v2"
}
] | 2016-10-19 | [
[
"Alday",
"Luis F.",
""
],
[
"Fluder",
"Martin",
""
],
[
"Gregory",
"Carolina M.",
""
],
[
"Richmond",
"Paul",
""
],
[
"Sparks",
"James",
""
]
] | We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an SU(2) structure. As an application of our results we (i) show that this structure reduces at a conformal boundary to the five-dimensional rigid supersymmetric geometry previously studied by the authors, (ii) find a general expression for the holographic dual of the VEV of a BPS Wilson loop, matching an exact field theory computation, (iii) construct holographic duals to squashed Sasaki-Einstein backgrounds, again matching to a field theory computation, and (iv) find new analytic solutions. |
hep-th/0510264 | Justin David R | Luis F. Alday, Justin R. David, Edi Gava, K. S. Narain | Towards a string bit formulation of N=4 super Yang-Mills | 64 pages, 6 figures, typos fixed, references added | JHEP0604:014,2006 | 10.1088/1126-6708/2006/04/014 | ITP-UU-05/48, SPIN-05/33 | hep-th | null | We show that planar cal N=4 Yang-Mills theory at zero 't Hooft coupling can
be efficiently described in terms of 8 bosonic and 8 fermionic oscillators. We
show that these oscillators can serve as world-sheet variables, the string
bits, of a discretized string. There is a one to one correspondence between the
on shell gauge invariant words of the free Y-M theory and the states in the
oscillators' Hilbert space, obeying a local gauge and cyclicity constraints.
The planar two-point functions and the three-point functions of all gauge
invariant words are obtained by the simple delta-function overlap of the
corresponding discrete string world sheet. At first order in the 't Hooft
coupling, i.e. at one-loop in the Y-M theory, the logarithmic corrections of
the planar two-point and the three-point functions can be incorporated by
nearest neighbour interactions among the discretized string bits. In the SU(2)
sub-sector we show that the one-loop corrections to the structure constants can
be uniquely determined by the symmetries of the bit picture. For the SU(2)
sub-sector we construct a gauged, linear, discrete world-sheet model for the
oscillators, with only nearest neighbour couplings, which reproduces the
anomalous dimension Hamiltonian up to two loops. This model also obeys BMN
scaling to all loops.
| [
{
"created": "Mon, 31 Oct 2005 12:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2006 03:53:11 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Alday",
"Luis F.",
""
],
[
"David",
"Justin R.",
""
],
[
"Gava",
"Edi",
""
],
[
"Narain",
"K. S.",
""
]
] | We show that planar cal N=4 Yang-Mills theory at zero 't Hooft coupling can be efficiently described in terms of 8 bosonic and 8 fermionic oscillators. We show that these oscillators can serve as world-sheet variables, the string bits, of a discretized string. There is a one to one correspondence between the on shell gauge invariant words of the free Y-M theory and the states in the oscillators' Hilbert space, obeying a local gauge and cyclicity constraints. The planar two-point functions and the three-point functions of all gauge invariant words are obtained by the simple delta-function overlap of the corresponding discrete string world sheet. At first order in the 't Hooft coupling, i.e. at one-loop in the Y-M theory, the logarithmic corrections of the planar two-point and the three-point functions can be incorporated by nearest neighbour interactions among the discretized string bits. In the SU(2) sub-sector we show that the one-loop corrections to the structure constants can be uniquely determined by the symmetries of the bit picture. For the SU(2) sub-sector we construct a gauged, linear, discrete world-sheet model for the oscillators, with only nearest neighbour couplings, which reproduces the anomalous dimension Hamiltonian up to two loops. This model also obeys BMN scaling to all loops. |
1805.11313 | Falk Bruckmann | Falk Bruckmann, Stephan Lochner | Complex instantons in sigma models with chemical potential | 14 pages, 8 figures | Phys. Rev. D 98, 065005 (2018) | 10.1103/PhysRevD.98.065005 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze two-dimensional nonlinear sigma models at nonzero chemical
potentials, which are governed by a complex action. In the spirit of contour
deformations (thimbles) we extend the fields into the complex plane, which
allows to incorporate the chemical potentials mu as twisted boundary
conditions. We write down the equations of motion and find exact BPS-like
solutions in terms of pairs of (anti)holomorphic functions, in particular
generalizations of unit charge and fractional instantons to generic mu. The
decay of these solutions is controled by the imaginary part of mu and a
vanishing imaginary part causes jumps in the action. We analyze how the total
charge is distributed into localized objects and to what extent these are
characterized by topology.
| [
{
"created": "Tue, 29 May 2018 08:56:25 GMT",
"version": "v1"
}
] | 2018-09-19 | [
[
"Bruckmann",
"Falk",
""
],
[
"Lochner",
"Stephan",
""
]
] | We analyze two-dimensional nonlinear sigma models at nonzero chemical potentials, which are governed by a complex action. In the spirit of contour deformations (thimbles) we extend the fields into the complex plane, which allows to incorporate the chemical potentials mu as twisted boundary conditions. We write down the equations of motion and find exact BPS-like solutions in terms of pairs of (anti)holomorphic functions, in particular generalizations of unit charge and fractional instantons to generic mu. The decay of these solutions is controled by the imaginary part of mu and a vanishing imaginary part causes jumps in the action. We analyze how the total charge is distributed into localized objects and to what extent these are characterized by topology. |
1302.0686 | Marco Billo' | Marco Billo, Marialuisa Frau, Laurent Gallot, Alberto Lerda and Igor
Pesando | Deformed N=2 theories, generalized recursion relations and S-duality | 33 pages, no figures, LaTeX2e | null | 10.1007/JHEP04(2013)039 | LAPTH 005/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-perturbative properties of N=2 super conformal field
theories in four dimensions using localization techniques. In particular we
consider SU(2) gauge theories, deformed by a generic epsilon-background, with
four fundamental flavors or with one adjoint hypermultiplet. In both cases we
explicitly compute the first few instanton corrections to the partition
function and the prepotential using Nekrasov's approach. These results allow to
reconstruct exact expressions involving quasi-modular functions of the bare
gauge coupling constant and to show that the prepotential terms satisfy a
modular anomaly equation that takes the form of a recursion relation with an
explicitly epsilon-dependent term. We then investigate the implications of this
recursion relation on the modular properties of the effective theory and find
that with a suitable redefinition of the prepotential and of the effective
coupling it is possible, at least up to the third order in the deformation
parameters, to cast the S-duality relations in the same form as they appear in
the Seiberg-Witten solution of the undeformed theory.
| [
{
"created": "Mon, 4 Feb 2013 13:53:21 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Billo",
"Marco",
""
],
[
"Frau",
"Marialuisa",
""
],
[
"Gallot",
"Laurent",
""
],
[
"Lerda",
"Alberto",
""
],
[
"Pesando",
"Igor",
""
]
] | We study the non-perturbative properties of N=2 super conformal field theories in four dimensions using localization techniques. In particular we consider SU(2) gauge theories, deformed by a generic epsilon-background, with four fundamental flavors or with one adjoint hypermultiplet. In both cases we explicitly compute the first few instanton corrections to the partition function and the prepotential using Nekrasov's approach. These results allow to reconstruct exact expressions involving quasi-modular functions of the bare gauge coupling constant and to show that the prepotential terms satisfy a modular anomaly equation that takes the form of a recursion relation with an explicitly epsilon-dependent term. We then investigate the implications of this recursion relation on the modular properties of the effective theory and find that with a suitable redefinition of the prepotential and of the effective coupling it is possible, at least up to the third order in the deformation parameters, to cast the S-duality relations in the same form as they appear in the Seiberg-Witten solution of the undeformed theory. |
2403.06778 | Minoru Eto | Yuki Amari, Minoru Eto, Muneto Nitta | Topological solitons stabilized by a background gauge field and
soliton-anti-soliton asymmetry | 23 pages, 9 figures | null | null | YGHP-24-02 | hep-th cond-mat.supr-con hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study topological lumps supported by the second homotopy group $\pi_2(S^2)
\simeq {\mathbb Z}$ in a gauged $O(3)$ model without any potential term coupled
with a (non)dynamical $U(1)$ gauge field. It is known that gauged-lumps are
stable with an easy-plane potential term but are unstable to expand if the
model has no potential term. In this paper, we find that these gauged lumps
without a potential term can be made stable by putting them in a uniform
magnetic field, irrespective of whether the gauge field is dynamical or not. In
the case of the non-dynamical gauge field, only either of lumps or anti-lumps
stably exists depending on the sign of the background magnetic field, and the
other is unstable to shrink to be singular. We also construct coaxial multiple
lumps whose size and mass exhibit a behaviour of droplets. In the case of the
dynamical gauge field, both the lumps and anti-lumps stably exist with
different masses; the lighter (heavier) one corresponds to the (un)stable one
in the case of the nondynamical gauge field. We find that a lump behaves as a
superconducting ring and traps magnetic field in its inside, with the total
magnetic field reduced from the background magnetic field.
| [
{
"created": "Mon, 11 Mar 2024 14:45:20 GMT",
"version": "v1"
}
] | 2024-03-12 | [
[
"Amari",
"Yuki",
""
],
[
"Eto",
"Minoru",
""
],
[
"Nitta",
"Muneto",
""
]
] | We study topological lumps supported by the second homotopy group $\pi_2(S^2) \simeq {\mathbb Z}$ in a gauged $O(3)$ model without any potential term coupled with a (non)dynamical $U(1)$ gauge field. It is known that gauged-lumps are stable with an easy-plane potential term but are unstable to expand if the model has no potential term. In this paper, we find that these gauged lumps without a potential term can be made stable by putting them in a uniform magnetic field, irrespective of whether the gauge field is dynamical or not. In the case of the non-dynamical gauge field, only either of lumps or anti-lumps stably exists depending on the sign of the background magnetic field, and the other is unstable to shrink to be singular. We also construct coaxial multiple lumps whose size and mass exhibit a behaviour of droplets. In the case of the dynamical gauge field, both the lumps and anti-lumps stably exist with different masses; the lighter (heavier) one corresponds to the (un)stable one in the case of the nondynamical gauge field. We find that a lump behaves as a superconducting ring and traps magnetic field in its inside, with the total magnetic field reduced from the background magnetic field. |
2104.12726 | Henrik Johansson | Gang Chen, Henrik Johansson, Fei Teng and Tianheng Wang | Next-to-MHV Yang-Mills kinematic algebra | 45pages + appx./refs | null | 10.1007/JHEP10(2021)042 | UUITP-21/21, NORDITA 2021-031, HU-EP-21/10, QMUL-PH-21-22 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie
algebraic structure that suggest the existence of a hidden infinite-dimensional
kinematic algebra. Explicitly realizing such a kinematic algebra is a
longstanding open problem that only has had partial success for simple helicity
sectors. In past work, we introduced a framework using tensor currents and
fusion rules to generate BCJ numerators of a special subsector of NMHV
amplitudes in Yang-Mills theory. Here we enlarge the scope and explicitly
realize a kinematic algebra for all NMHV amplitudes. Master numerators are
obtained directly from the algebraic rules and through commutators and
kinematic Jacobi identities other numerators can be generated. Inspecting the
output of the algebra, we conjecture a closed-form expression for the master
BCJ numerator up to any multiplicity. We also introduce a new method, based on
group algebra of the permutation group, to solve for the generalized gauge
freedom of BCJ numerators. It uses the recently introduced binary BCJ relations
to provide a complete set of NMHV kinematic numerators that consist of pure
gauge.
| [
{
"created": "Mon, 26 Apr 2021 17:18:07 GMT",
"version": "v1"
}
] | 2021-10-27 | [
[
"Chen",
"Gang",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Teng",
"Fei",
""
],
[
"Wang",
"Tianheng",
""
]
] | Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie algebraic structure that suggest the existence of a hidden infinite-dimensional kinematic algebra. Explicitly realizing such a kinematic algebra is a longstanding open problem that only has had partial success for simple helicity sectors. In past work, we introduced a framework using tensor currents and fusion rules to generate BCJ numerators of a special subsector of NMHV amplitudes in Yang-Mills theory. Here we enlarge the scope and explicitly realize a kinematic algebra for all NMHV amplitudes. Master numerators are obtained directly from the algebraic rules and through commutators and kinematic Jacobi identities other numerators can be generated. Inspecting the output of the algebra, we conjecture a closed-form expression for the master BCJ numerator up to any multiplicity. We also introduce a new method, based on group algebra of the permutation group, to solve for the generalized gauge freedom of BCJ numerators. It uses the recently introduced binary BCJ relations to provide a complete set of NMHV kinematic numerators that consist of pure gauge. |
hep-th/0703171 | Jean Alexandre | Jean Alexandre and Nikolaos E. Mavromatos (King's College London) | Can strings live in four dimensions? | 3 pages, LaTeX | null | null | null | hep-th gr-qc hep-ph | null | Using a novel, non-perturbative, time-dependent string configuration derived
in [1], we present here an argument which selects new critical dimensions for
the target space time of a bosonic sigma model, with D=4 the lowest non trivial
value. This argument is based on the properties of the partition function after
a target space Wick rotation.
| [
{
"created": "Mon, 19 Mar 2007 19:18:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alexandre",
"Jean",
"",
"King's College London"
],
[
"Mavromatos",
"Nikolaos E.",
"",
"King's College London"
]
] | Using a novel, non-perturbative, time-dependent string configuration derived in [1], we present here an argument which selects new critical dimensions for the target space time of a bosonic sigma model, with D=4 the lowest non trivial value. This argument is based on the properties of the partition function after a target space Wick rotation. |
2107.07770 | Hidehiko Shimada | Hidehiko Shimada and Hirohiko Shimada | Exact four-point function and OPE for an interacting quantum field
theory with space/time anisotropic scale invariance | 42 pages + 21 pages, 2 figures; v2 typographical errors corrected and
minor improvements in presentation. To appear in JHEP | null | null | YITP-21-26 | hep-th cond-mat.quant-gas cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a nontrivial yet tractable quantum field theory model with
space/time anisotropic scale invariance, for which one can exactly compute
certain four-point correlation functions and their decompositions via the
operator-product expansion(OPE). The model is the Calogero model,
non-relativistic particles interacting with a pair potential
$\frac{g}{|x-y|^2}$ in one dimension, considered as a quantum field theory in
one space and one time dimension via the second quantisation. This model has
the anisotropic scale symmetry with the anisotropy exponent $z=2$. The symmetry
is also enhanced to the Schr\"odinger symmetry. The model has one coupling
constant $g$ and thus provides an example of a fixed line in the
renormalisation group flow of anisotropic theories.
We exactly compute a nontrivial four-point function of the fundamental fields
of the theory. We decompose the four-point function via OPE in two different
ways, thereby explicitly verifying the associativity of OPE for the first time
for an interacting quantum field theory with anisotropic scale invariance. From
the decompositions, one can read off the OPE coefficients and the scaling
dimensions of the operators appearing in the intermediate channels. One of the
decompositions is given by a convergent series, and only one primary operator
and its descendants appear in the OPE. The scaling dimension of the primary
operator we computed depends on the coupling constant. The dimension correctly
reproduces the value expected from the well-known spectrum of the Calogero
model combined with the so-called state-operator map which is valid for
theories with the Schr\"odinger symmetry. The other decomposition is given by
an asymptotic series. The asymptotic series comes with exponentially small
correction terms, which also have a natural interpretation in terms of OPE.
| [
{
"created": "Fri, 16 Jul 2021 08:58:41 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2021 08:00:55 GMT",
"version": "v2"
}
] | 2021-09-15 | [
[
"Shimada",
"Hidehiko",
""
],
[
"Shimada",
"Hirohiko",
""
]
] | We identify a nontrivial yet tractable quantum field theory model with space/time anisotropic scale invariance, for which one can exactly compute certain four-point correlation functions and their decompositions via the operator-product expansion(OPE). The model is the Calogero model, non-relativistic particles interacting with a pair potential $\frac{g}{|x-y|^2}$ in one dimension, considered as a quantum field theory in one space and one time dimension via the second quantisation. This model has the anisotropic scale symmetry with the anisotropy exponent $z=2$. The symmetry is also enhanced to the Schr\"odinger symmetry. The model has one coupling constant $g$ and thus provides an example of a fixed line in the renormalisation group flow of anisotropic theories. We exactly compute a nontrivial four-point function of the fundamental fields of the theory. We decompose the four-point function via OPE in two different ways, thereby explicitly verifying the associativity of OPE for the first time for an interacting quantum field theory with anisotropic scale invariance. From the decompositions, one can read off the OPE coefficients and the scaling dimensions of the operators appearing in the intermediate channels. One of the decompositions is given by a convergent series, and only one primary operator and its descendants appear in the OPE. The scaling dimension of the primary operator we computed depends on the coupling constant. The dimension correctly reproduces the value expected from the well-known spectrum of the Calogero model combined with the so-called state-operator map which is valid for theories with the Schr\"odinger symmetry. The other decomposition is given by an asymptotic series. The asymptotic series comes with exponentially small correction terms, which also have a natural interpretation in terms of OPE. |
2404.18376 | Imtak Jeon | Alfredo Gonz\'alez Lezcano, Imtak Jeon and Augniva Ray | Supersymmetric spectrum for vector multiplet on Euclidean AdS$_2$ | 24 pages + appendix, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Quantum study of supersymmetric theories on Euclidean two dimensional anti-de
Sitter space (EAdS$_2$) requires complexified spectrum. For a chiral multiplet,
we showed that the spectrum of the Dirac operator acquires a universal shift of
$\text{i}/2$ from the real spectrum to make the supersymmetry between boson and
fermion manifest, where both the bosonic and fermionic eigenfunctions are
normalizable using an appropriate definition of Euclidean inner product. We
extend this analysis to the vector multiplet, where we show that the gaugino
requires both $+\text{i}/2$ and $-\text{i}/2$ shift from the real spectrum, and
there is additional isolated point at vanishing spectral parameter which is
mapped by supersymmetry to the boundary zero modes of the vector field.
Furthermore, this spectral analysis shows that not every bosonic fields in the
vector multiplet can satisfy normalizable boundary condition. Nevertheless,
aided by a reorganization of fields into a cohomological form, we find the
supersymmetry mapping between bosons and fermions in terms of the expansion
coefficients with respect to the newly constructed basis.
| [
{
"created": "Mon, 29 Apr 2024 02:26:38 GMT",
"version": "v1"
}
] | 2024-04-30 | [
[
"Lezcano",
"Alfredo González",
""
],
[
"Jeon",
"Imtak",
""
],
[
"Ray",
"Augniva",
""
]
] | Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (EAdS$_2$) requires complexified spectrum. For a chiral multiplet, we showed that the spectrum of the Dirac operator acquires a universal shift of $\text{i}/2$ from the real spectrum to make the supersymmetry between boson and fermion manifest, where both the bosonic and fermionic eigenfunctions are normalizable using an appropriate definition of Euclidean inner product. We extend this analysis to the vector multiplet, where we show that the gaugino requires both $+\text{i}/2$ and $-\text{i}/2$ shift from the real spectrum, and there is additional isolated point at vanishing spectral parameter which is mapped by supersymmetry to the boundary zero modes of the vector field. Furthermore, this spectral analysis shows that not every bosonic fields in the vector multiplet can satisfy normalizable boundary condition. Nevertheless, aided by a reorganization of fields into a cohomological form, we find the supersymmetry mapping between bosons and fermions in terms of the expansion coefficients with respect to the newly constructed basis. |
hep-th/9411167 | Simon L. Lyakhovich | S.A. Lyakhovich and A.A. Sharapov | Quantum inconsistency of W3-gravity models associated with magical
Jordan algebras | LaTeX, 4 pages, no figures | null | null | null | hep-th | null | It is shown that the Sugawara-type construction for W3-algebra associated
with the four magical Jordan algebras leads to the anomalous theory of
W3-gravity.
| [
{
"created": "Wed, 23 Nov 1994 10:51:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lyakhovich",
"S. A.",
""
],
[
"Sharapov",
"A. A.",
""
]
] | It is shown that the Sugawara-type construction for W3-algebra associated with the four magical Jordan algebras leads to the anomalous theory of W3-gravity. |
hep-th/9901090 | Bodo Geyer | B. Geyer, M. Lazar and D. Robaschik | Decomposition of nonlocal light-cone operators into harmonic operators
of definite twist | 38 pages, AMSTEX Improvement of expressions for twist-3 and twist-4
tensor operators. to appear in Nucl. Phys. B | Nucl.Phys. B559 (1999) 339-377 | 10.1016/S0550-3213(99)00334-X | NTZ 2/99 | hep-th hep-ph | null | Bilocal light-ray operators which are Lorentz scalars, vectors or
antisymmetric tensors, and which appear in various hard scattering QCD
processes, are decomposed into operators of definite twist. These operators are
harmonic tensor functions and their Taylor expansion consists of (traceless)
local light-cone operators with span irreducible representations of the Lorentz
group with definite spin j and common geometric twist (= dimension - spin).
Some applications concerning the nonforward matrix elements of these operators
and the generalization fo conformal light-cone operators of definite twist is
considered. The group theoretical background of the method has been made clear.
| [
{
"created": "Wed, 20 Jan 1999 18:21:11 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 1999 11:01:37 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Geyer",
"B.",
""
],
[
"Lazar",
"M.",
""
],
[
"Robaschik",
"D.",
""
]
] | Bilocal light-ray operators which are Lorentz scalars, vectors or antisymmetric tensors, and which appear in various hard scattering QCD processes, are decomposed into operators of definite twist. These operators are harmonic tensor functions and their Taylor expansion consists of (traceless) local light-cone operators with span irreducible representations of the Lorentz group with definite spin j and common geometric twist (= dimension - spin). Some applications concerning the nonforward matrix elements of these operators and the generalization fo conformal light-cone operators of definite twist is considered. The group theoretical background of the method has been made clear. |
1609.09127 | Kallosh Renata | Renata Kallosh, Anna Karlsson, Divyanshu Murli | Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov
Theory | 10 p | null | 10.1007/JHEP03(2017)081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the background field technique, recently developed for a general
class of nonlinear symmetries, at tree level, to the Volkov-Akulov theory with
spontaneously broken N=1 supersymmetry. We find that the background field
expansion in terms of the free fields to the lowest order reproduces the
nonlinear supersymmetry transformation rules. The double soft limit of the
background field is, in agreement with the new general identities, defined by
the algebra of the nonlinear symmetries.
| [
{
"created": "Wed, 28 Sep 2016 21:40:23 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2016 22:07:37 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Feb 2017 19:36:01 GMT",
"version": "v3"
}
] | 2017-04-05 | [
[
"Kallosh",
"Renata",
""
],
[
"Karlsson",
"Anna",
""
],
[
"Murli",
"Divyanshu",
""
]
] | We apply the background field technique, recently developed for a general class of nonlinear symmetries, at tree level, to the Volkov-Akulov theory with spontaneously broken N=1 supersymmetry. We find that the background field expansion in terms of the free fields to the lowest order reproduces the nonlinear supersymmetry transformation rules. The double soft limit of the background field is, in agreement with the new general identities, defined by the algebra of the nonlinear symmetries. |
hep-th/0310118 | Nathan Berkovits | Nathan Berkovits, Hirosi Ooguri and Cumrun Vafa | On the Worldsheet Derivation of Large N Dualities for the Superstring | 21 pages harvmac | Commun.Math.Phys.252:259-274,2004 | 10.1007/s00220-004-1181-9 | IFT-P.044/2003, CALT-68-2455, HUTP-03/A064 | hep-th | null | Large N topological string dualities have led to a class of proposed
open/closed dualities for superstrings. In the topological string context, the
worldsheet derivation of these dualities has already been given. In this paper
we take the first step in deriving the full ten-dimensional superstring
dualities by showing how the dualities arise on the superstring worldsheet at
the level of F terms. As part of this derivation, we show for F-term
computations that the hybrid formalism for the superstring is equivalent to a
$\hat c=5$ topological string in ten-dimensional spacetime. Using the $\hat
c=5$ description, we then show that the D brane boundary state for the
ten-dimensional open superstring naturally emerges on the worldsheet of the
closed superstring dual.
| [
{
"created": "Mon, 13 Oct 2003 17:42:36 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Berkovits",
"Nathan",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Vafa",
"Cumrun",
""
]
] | Large N topological string dualities have led to a class of proposed open/closed dualities for superstrings. In the topological string context, the worldsheet derivation of these dualities has already been given. In this paper we take the first step in deriving the full ten-dimensional superstring dualities by showing how the dualities arise on the superstring worldsheet at the level of F terms. As part of this derivation, we show for F-term computations that the hybrid formalism for the superstring is equivalent to a $\hat c=5$ topological string in ten-dimensional spacetime. Using the $\hat c=5$ description, we then show that the D brane boundary state for the ten-dimensional open superstring naturally emerges on the worldsheet of the closed superstring dual. |
2310.20559 | Liam McAllister | Liam McAllister and Fernando Quevedo | Moduli Stabilization in String Theory | 74 pages. Invited chapter for the Handbook of Quantum Gravity (edited
by Cosimo Bambi, Leonardo Modesto, and Ilya Shapiro, Springer 2023) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an overview of moduli stabilization in compactifications of string
theory. We summarize current methods for construction and analysis of vacua
with stabilized moduli, and we describe applications to cosmology and particle
physics. This is a contribution to the Handbook of Quantum Gravity.
| [
{
"created": "Tue, 31 Oct 2023 15:43:00 GMT",
"version": "v1"
}
] | 2023-11-01 | [
[
"McAllister",
"Liam",
""
],
[
"Quevedo",
"Fernando",
""
]
] | We give an overview of moduli stabilization in compactifications of string theory. We summarize current methods for construction and analysis of vacua with stabilized moduli, and we describe applications to cosmology and particle physics. This is a contribution to the Handbook of Quantum Gravity. |
hep-th/0703024 | Takayuki Hirayama | Koji Hashimoto, Takayuki Hirayama, Akitsugu Miwa | Holographic QCD and Pion Mass | 23pages, minor changes, references added | JHEP 0706:020,2007 | 10.1088/1126-6708/2007/06/020 | null | hep-th hep-ph nucl-th | null | To realize massive pions, we study variations of the holographic model of
massless QCD using the D4/D8/anti-D8 brane configuration proposed by Sakai and
Sugimoto. We propose deformations which break the chiral symmetry explicitly
and compute the mass of the pions and vector mesons. The observed value of the
pion mass can be obtained. We also argue a chiral perturbation corresponding to
our deformation.
| [
{
"created": "Fri, 2 Mar 2007 15:19:32 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2007 18:38:09 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Hashimoto",
"Koji",
""
],
[
"Hirayama",
"Takayuki",
""
],
[
"Miwa",
"Akitsugu",
""
]
] | To realize massive pions, we study variations of the holographic model of massless QCD using the D4/D8/anti-D8 brane configuration proposed by Sakai and Sugimoto. We propose deformations which break the chiral symmetry explicitly and compute the mass of the pions and vector mesons. The observed value of the pion mass can be obtained. We also argue a chiral perturbation corresponding to our deformation. |
2105.13367 | Matthias Wilhelm | Amit Sever, Alexander G. Tumanov, Matthias Wilhelm | An Operator Product Expansion for Form Factors II. Born level | 35 pages, 4 figures, 2 ancillary files; v2: LaTeX figure issue fixed | JHEP 10 (2021) 071 | 10.1007/JHEP10(2021)071 | MPP-2021-58 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Form factors in planar N=4 Super-Yang-Mills theory admit a type of
non-perturbative operator product expansion (OPE), as we have recently shown in
arXiv:2009.11297. This expansion is based on a decomposition of the dual
periodic Wilson loop into elementary building blocks: the known pentagon
transitions and a new object that we call form factor transition, which encodes
the information about the local operator. In this paper, we compute the
two-particle form factor transitions for the chiral part of the stress-tensor
supermultiplet at Born level; they yield the leading contribution to the OPE.
To achieve this, we explicitly construct the Gubser-Klebanov-Polyakov
two-particle singlet states. The resulting transitions are then used to test
the OPE against known perturbative data and to make higher-loop predictions.
| [
{
"created": "Thu, 27 May 2021 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2021 09:24:58 GMT",
"version": "v2"
}
] | 2022-08-24 | [
[
"Sever",
"Amit",
""
],
[
"Tumanov",
"Alexander G.",
""
],
[
"Wilhelm",
"Matthias",
""
]
] | Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop into elementary building blocks: the known pentagon transitions and a new object that we call form factor transition, which encodes the information about the local operator. In this paper, we compute the two-particle form factor transitions for the chiral part of the stress-tensor supermultiplet at Born level; they yield the leading contribution to the OPE. To achieve this, we explicitly construct the Gubser-Klebanov-Polyakov two-particle singlet states. The resulting transitions are then used to test the OPE against known perturbative data and to make higher-loop predictions. |
2110.05418 | Mikhail Alfimov Mr | Mikhail Alfimov and Alexey Litvinov | On loop corrections to integrable $2D$ sigma model backgrounds | 21 pages and 1 figure, v2: references added, corrected error in
regularization scheme change, typos fixed, appendix B extended, commented on
connection to DVV metric, v3: typos fixed, published JHEP version | null | 10.1007/JHEP01(2022)043 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study regularization scheme dependence of $\beta$-function for sigma
models with two-dimensional target space. Working within four-loop
approximation, we conjecture the scheme in which the $\beta$-function retains
only two tensor structures up to certain terms containing $\zeta_3$. Using this
scheme, we provide explicit solutions to RG flow equation corresponding to
Yang-Baxter- and $\lambda$-deformed $SU(2)/U(1)$ sigma models, for which these
terms disappear.
| [
{
"created": "Mon, 11 Oct 2021 17:01:35 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2021 12:14:56 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Jan 2022 09:43:54 GMT",
"version": "v3"
}
] | 2022-01-19 | [
[
"Alfimov",
"Mikhail",
""
],
[
"Litvinov",
"Alexey",
""
]
] | We study regularization scheme dependence of $\beta$-function for sigma models with two-dimensional target space. Working within four-loop approximation, we conjecture the scheme in which the $\beta$-function retains only two tensor structures up to certain terms containing $\zeta_3$. Using this scheme, we provide explicit solutions to RG flow equation corresponding to Yang-Baxter- and $\lambda$-deformed $SU(2)/U(1)$ sigma models, for which these terms disappear. |
2002.07592 | Dmitri Sorokin | Dmitry Chernyavsky, Nihat Sadik Deger and Dmitri Sorokin | Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and
Minimal Massive Gravity | 30 pages, v.2: typos corrected comments and references added | Eur.Phys.J.C 80 (2020) 6, 556 | 10.1140/epjc/s10052-020-8090-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that minimal massive 3d gravity (MMG), as well as the topological
massive gravity, are particular cases of a more general `minimal massive
gravity' theory (with a single massive propagating mode) arising upon
spontaneous breaking of a local symmetry in a Chern-Simons gravity based on a
Hietarinta or Maxwell algebra. Similar to the MMG case, the requirements that
the propagating massive mode is neither tachyon nor ghost and that the central
charges of an asymptotic algebra associated with a boundary CFT are positive,
impose restrictions on the range of the parameters of the theory.
| [
{
"created": "Tue, 18 Feb 2020 14:41:00 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2020 20:48:32 GMT",
"version": "v2"
}
] | 2020-07-08 | [
[
"Chernyavsky",
"Dmitry",
""
],
[
"Deger",
"Nihat Sadik",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | We show that minimal massive 3d gravity (MMG), as well as the topological massive gravity, are particular cases of a more general `minimal massive gravity' theory (with a single massive propagating mode) arising upon spontaneous breaking of a local symmetry in a Chern-Simons gravity based on a Hietarinta or Maxwell algebra. Similar to the MMG case, the requirements that the propagating massive mode is neither tachyon nor ghost and that the central charges of an asymptotic algebra associated with a boundary CFT are positive, impose restrictions on the range of the parameters of the theory. |
0810.1076 | Joel Spruck | Joel Spruck (Johns Hopkins University), Yisong Yang (Yeshiva
University) | Proof of the Julia-Zee Theorem | null | Commun.Math.Phys.291:347-356,2009 | 10.1007/s00220-009-0791-7 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is a well accepted principle that finite-energy static solutions in the
classical relativistic gauge field theory over the $(2+1)$-dimensional
Minkowski spacetime must be electrically neutral. We call such a statement the
Julia--Zee theorem. In this paper, we present a mathematical proof of this
fundamental structural property.
| [
{
"created": "Mon, 6 Oct 2008 23:12:34 GMT",
"version": "v1"
}
] | 2009-08-18 | [
[
"Spruck",
"Joel",
"",
"Johns Hopkins University"
],
[
"Yang",
"Yisong",
"",
"Yeshiva\n University"
]
] | It is a well accepted principle that finite-energy static solutions in the classical relativistic gauge field theory over the $(2+1)$-dimensional Minkowski spacetime must be electrically neutral. We call such a statement the Julia--Zee theorem. In this paper, we present a mathematical proof of this fundamental structural property. |
1606.02420 | Chen-Pin Yeh | Da-Shin Lee and Chen-Pin Yeh | A Holographic Description of Negative Energy States | This is the version(v2) published in JHEP | null | 10.1007/JHEP09(2016)059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the AdS/CFT duality, we study the expectation value of stress tensor in
$2+1$-dimensional quantum critical theories with a general dynamical scaling
$z$, and explore various constrains on negative energy density for strongly
coupled field theories. The holographic dual theory is the theory of gravity in
3+1-dimensional Lifshitz backgrounds. We adopt a consistent approach to obtain
the boundary stress tensor from bulk construction, which satisfies the trace
Ward identity associated with Lifshitz scaling symmetry. In particular, the
boundary stress tensor, constructed from the gravitational wave deformed
Lifshitz geometry, is found up to second order in gravitational wave
perturbations. {The result} is compared to its counterpart in free {scalar}
field theory at the same order in an expansion of small squeezing parameters.
This allows us to relate the boundary values of gravitational waves to the
squeezing parameters of squeezed vacuum states. We find that, in both cases
with $z=1$, the stress tensor satisfies the averaged null energy condition, and
is consistent with the quantum interest conjecture. Moreover, the negative
lower bound on null-contracted stress tensor, which is averaged over time-like
trajectories along nearly null directions, is obtained. We find a weaker
constraint on the magnitude and duration of negative null energy density in
strongly coupled field theory as compared with the constraint in free
relativistic field theory. The implications are discussed.
| [
{
"created": "Wed, 8 Jun 2016 07:00:50 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2016 02:45:17 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Lee",
"Da-Shin",
""
],
[
"Yeh",
"Chen-Pin",
""
]
] | Using the AdS/CFT duality, we study the expectation value of stress tensor in $2+1$-dimensional quantum critical theories with a general dynamical scaling $z$, and explore various constrains on negative energy density for strongly coupled field theories. The holographic dual theory is the theory of gravity in 3+1-dimensional Lifshitz backgrounds. We adopt a consistent approach to obtain the boundary stress tensor from bulk construction, which satisfies the trace Ward identity associated with Lifshitz scaling symmetry. In particular, the boundary stress tensor, constructed from the gravitational wave deformed Lifshitz geometry, is found up to second order in gravitational wave perturbations. {The result} is compared to its counterpart in free {scalar} field theory at the same order in an expansion of small squeezing parameters. This allows us to relate the boundary values of gravitational waves to the squeezing parameters of squeezed vacuum states. We find that, in both cases with $z=1$, the stress tensor satisfies the averaged null energy condition, and is consistent with the quantum interest conjecture. Moreover, the negative lower bound on null-contracted stress tensor, which is averaged over time-like trajectories along nearly null directions, is obtained. We find a weaker constraint on the magnitude and duration of negative null energy density in strongly coupled field theory as compared with the constraint in free relativistic field theory. The implications are discussed. |
1207.5237 | Alex Bernardini Dr. | Alex E. Bernardini and Roldao da Rocha | Cyclically deformed defects and topological mass constraints | 36 pages, 9 figures | Advances in High Energy Physics, vol.2013, Article ID 304980, 18
pages (2013) | 10.1155/2013/304980 | null | hep-th cond-mat.stat-mech math-ph math.MP nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A systematic procedure for obtaining defect structures through cyclic
deformation chains is introduced and explored in detail. The procedure outlines
a set of rules for analytically constructing constraint equations that involve
the finite localized energy of cyclically generated defects. The idea of
obtaining cyclically deformed defects concerns the possibility of regenerating
a primitive (departing) defect structure through successive, unidirectional,
and eventually irreversible, deformation processes. Our technique is applied on
kink-like and lump-like solutions in models described by a single real scalar
field, such that extensions to quantum mechanics follow the usual theory of
deformed defects. The preliminary results show that the cyclic device supports
simultaneously kink-like and lump-like defects into 3- and 4-cyclic deformation
chains with topological mass values closed by trigonometric and hyperbolic
deformations. In a straightforward generalization, results concerning with the
analytical calculation of $N$-cyclic deformations are obtained and lessons
regarding extensions from more elaborated primitive defects are depicted.
| [
{
"created": "Sun, 22 Jul 2012 16:16:06 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2012 21:26:30 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Feb 2013 18:30:14 GMT",
"version": "v3"
}
] | 2013-04-09 | [
[
"Bernardini",
"Alex E.",
""
],
[
"da Rocha",
"Roldao",
""
]
] | A systematic procedure for obtaining defect structures through cyclic deformation chains is introduced and explored in detail. The procedure outlines a set of rules for analytically constructing constraint equations that involve the finite localized energy of cyclically generated defects. The idea of obtaining cyclically deformed defects concerns the possibility of regenerating a primitive (departing) defect structure through successive, unidirectional, and eventually irreversible, deformation processes. Our technique is applied on kink-like and lump-like solutions in models described by a single real scalar field, such that extensions to quantum mechanics follow the usual theory of deformed defects. The preliminary results show that the cyclic device supports simultaneously kink-like and lump-like defects into 3- and 4-cyclic deformation chains with topological mass values closed by trigonometric and hyperbolic deformations. In a straightforward generalization, results concerning with the analytical calculation of $N$-cyclic deformations are obtained and lessons regarding extensions from more elaborated primitive defects are depicted. |
1806.02772 | Konstantin Aleshkin | Konstantin Aleshkin and Alexander Belavin | Exact computation of the Special geometry for Calabi-Yau hypersurfaces
of Fermat type | null | null | 10.1134/S0021364018220010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to develop our method for effectively computating the special
K\"ahler geometry on the moduli space of Calabi-Yau manifolds. We generalize it
to all polynomial deformations of Fermat hypersurfaces.
| [
{
"created": "Thu, 7 Jun 2018 16:39:28 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2018 14:54:04 GMT",
"version": "v2"
}
] | 2018-12-05 | [
[
"Aleshkin",
"Konstantin",
""
],
[
"Belavin",
"Alexander",
""
]
] | We continue to develop our method for effectively computating the special K\"ahler geometry on the moduli space of Calabi-Yau manifolds. We generalize it to all polynomial deformations of Fermat hypersurfaces. |
hep-th/0101151 | Jean-Bernard Zuber | V.B. Petkova and J.-B. Zuber | The many faces of Ocneanu cells | 57 pages, 10 figures. Several misprints and the derivation of eq.
(7.38) corrected | Nucl.Phys. B603 (2001) 449-496 | 10.1016/S0550-3213(01)00096-7 | ESI 975 (2000); UNN-SCM-M-00-10; CERN-TH/2000-355; Saclay T00/188 | hep-th | null | We define generalised chiral vertex operators covariant under the Ocneanu
``double triangle algebra'' {\cal A}, a novel quantum symmetry intrinsic to a
given rational 2-d conformal field theory. This provides a chiral approach,
which, unlike the conventional one, makes explicit various algebraic structures
encountered previously in the study of these theories and of the associated
critical lattice models, and thus allows their unified treatment. The
triangular Ocneanu cells, the 3j-symbols of the weak Hopf algebra {\cal A},
reappear in several guises. With {\cal A} and its dual algebra {hat A} one
associates a pair of graphs, G and {\tilde G}. While G are known to encode
complete sets of conformal boundary states, the Ocneanu graphs {\tilde G}
classify twisted torus partition functions. The fusion algebra of the twist
operators provides the data determining {\hat A}. The study of bulk field
correlators in the presence of twists reveals that the Ocneanu graph quantum
symmetry gives also an information on the field operator algebra.
| [
{
"created": "Tue, 23 Jan 2001 16:08:30 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2001 10:40:21 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Sep 2001 15:57:12 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Petkova",
"V. B.",
""
],
[
"Zuber",
"J. -B.",
""
]
] | We define generalised chiral vertex operators covariant under the Ocneanu ``double triangle algebra'' {\cal A}, a novel quantum symmetry intrinsic to a given rational 2-d conformal field theory. This provides a chiral approach, which, unlike the conventional one, makes explicit various algebraic structures encountered previously in the study of these theories and of the associated critical lattice models, and thus allows their unified treatment. The triangular Ocneanu cells, the 3j-symbols of the weak Hopf algebra {\cal A}, reappear in several guises. With {\cal A} and its dual algebra {hat A} one associates a pair of graphs, G and {\tilde G}. While G are known to encode complete sets of conformal boundary states, the Ocneanu graphs {\tilde G} classify twisted torus partition functions. The fusion algebra of the twist operators provides the data determining {\hat A}. The study of bulk field correlators in the presence of twists reveals that the Ocneanu graph quantum symmetry gives also an information on the field operator algebra. |
1712.06425 | Pichet Vanichchapongjaroen | Pichet Vanichchapongjaroen | Dual formulation of covariant nonlinear duality-symmetric action of
kappa-symmetric D3-brane | 26 pages, typos corrected, references added | null | 10.1007/JHEP02(2018)116 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the construction of covariant nonlinear duality-symmetric actions in
dual formulation. Essentially, the construction is the PST-covariantisation and
nonlinearisation of Zwanziger action. The covariantisation made use of three
auxiliary scalar fields. Apart from these, the construction proceed in a
similar way to that of the standard formulation. For example, the theories can
be extended to include interactions with external fields, and that the theories
possess two local PST symmetries. We then explicitly demonstrate the
construction of covariant nonlinear duality-symmetric actions in dual
formulation of DBI theory, and D3-brane. For each of these theories, the
twisted self-duality condition obtained from duality-symmetric actions are
explicitly shown to match with the duality relation between field strength and
its dual from the one-potential actions. Their on-shell actions between the
duality-symmetric and the one potential versions are also shown to match. We
also explicitly prove kappa-symmetry of the covariant nonlinear
duality-symmetric D3-brane action in dual formulation.
| [
{
"created": "Mon, 18 Dec 2017 14:39:22 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2018 14:52:12 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Vanichchapongjaroen",
"Pichet",
""
]
] | We study the construction of covariant nonlinear duality-symmetric actions in dual formulation. Essentially, the construction is the PST-covariantisation and nonlinearisation of Zwanziger action. The covariantisation made use of three auxiliary scalar fields. Apart from these, the construction proceed in a similar way to that of the standard formulation. For example, the theories can be extended to include interactions with external fields, and that the theories possess two local PST symmetries. We then explicitly demonstrate the construction of covariant nonlinear duality-symmetric actions in dual formulation of DBI theory, and D3-brane. For each of these theories, the twisted self-duality condition obtained from duality-symmetric actions are explicitly shown to match with the duality relation between field strength and its dual from the one-potential actions. Their on-shell actions between the duality-symmetric and the one potential versions are also shown to match. We also explicitly prove kappa-symmetry of the covariant nonlinear duality-symmetric D3-brane action in dual formulation. |
1110.5224 | F. Saueressig | Martin Reuter and Frank Saueressig | Fractal space-times under the microscope: A Renormalization Group view
on Monte Carlo data | 26 pages, 6 figures | null | 10.1007/JHEP12(2011)012 | MZ-TH/11-35 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emergence of fractal features in the microscopic structure of space-time
is a common theme in many approaches to quantum gravity. In this work we carry
out a detailed renormalization group study of the spectral dimension $d_s$ and
walk dimension $d_w$ associated with the effective space-times of
asymptotically safe Quantum Einstein Gravity (QEG). We discover three scaling
regimes where these generalized dimensions are approximately constant for an
extended range of length scales: a classical regime where $d_s = d, d_w = 2$, a
semi-classical regime where $d_s = 2d/(2+d), d_w = 2+d$, and the UV-fixed point
regime where $d_s = d/2, d_w = 4$. On the length scales covered by
three-dimensional Monte Carlo simulations, the resulting spectral dimension is
shown to be in very good agreement with the data. This comparison also provides
a natural explanation for the apparent puzzle between the short distance
behavior of the spectral dimension reported from Causal Dynamical
Triangulations (CDT), Euclidean Dynamical Triangulations (EDT), and Asymptotic
Safety.
| [
{
"created": "Mon, 24 Oct 2011 13:14:44 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Reuter",
"Martin",
""
],
[
"Saueressig",
"Frank",
""
]
] | The emergence of fractal features in the microscopic structure of space-time is a common theme in many approaches to quantum gravity. In this work we carry out a detailed renormalization group study of the spectral dimension $d_s$ and walk dimension $d_w$ associated with the effective space-times of asymptotically safe Quantum Einstein Gravity (QEG). We discover three scaling regimes where these generalized dimensions are approximately constant for an extended range of length scales: a classical regime where $d_s = d, d_w = 2$, a semi-classical regime where $d_s = 2d/(2+d), d_w = 2+d$, and the UV-fixed point regime where $d_s = d/2, d_w = 4$. On the length scales covered by three-dimensional Monte Carlo simulations, the resulting spectral dimension is shown to be in very good agreement with the data. This comparison also provides a natural explanation for the apparent puzzle between the short distance behavior of the spectral dimension reported from Causal Dynamical Triangulations (CDT), Euclidean Dynamical Triangulations (EDT), and Asymptotic Safety. |
0711.3240 | Hossein Yavartanoo | Hossein Yavartanoo and Sangheon Yun | Higher derivative correction to Kaluza-Klein black hole solution | 25 pages, 2 figures, JHEP styl | Eur.Phys.J.C57:797-808,2008 | 10.1140/epjc/s10052-008-0706-3 | null | hep-th | null | We investigate the attractor mechanism in Kaluza-Klein black hole solution in
the presence of higher derivative terms. In particular, we discuss the
attractor behavior of static black holes by using the effective potential
approach as well as entropy function formalism. We consider different higher
derivative terms with a general coupling to moduli field. For the $R^2$ theory,
we use effective potential approach, looking for solutions which are analytic
near the horizon and show that they exist and enjoy the attractor behavior. The
attractor point is determined by extremization of the modified effective
potential at the horizon. We study the effect of the general higher derivative
corrections of $R^n$ terms. Using the entropy function we define the modified
effective potential and we find the conditions to have the attractor solution.
In particular for a single charged Kaluza-Klein black hole solution we show
that higher derivative correction dresses the naked singularity for an
appropriate coupling, and we can find the attractor solution.
| [
{
"created": "Wed, 21 Nov 2007 00:06:24 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Yavartanoo",
"Hossein",
""
],
[
"Yun",
"Sangheon",
""
]
] | We investigate the attractor mechanism in Kaluza-Klein black hole solution in the presence of higher derivative terms. In particular, we discuss the attractor behavior of static black holes by using the effective potential approach as well as entropy function formalism. We consider different higher derivative terms with a general coupling to moduli field. For the $R^2$ theory, we use effective potential approach, looking for solutions which are analytic near the horizon and show that they exist and enjoy the attractor behavior. The attractor point is determined by extremization of the modified effective potential at the horizon. We study the effect of the general higher derivative corrections of $R^n$ terms. Using the entropy function we define the modified effective potential and we find the conditions to have the attractor solution. In particular for a single charged Kaluza-Klein black hole solution we show that higher derivative correction dresses the naked singularity for an appropriate coupling, and we can find the attractor solution. |
0906.3686 | James Sparks | Maxime Gabella, Jerome P. Gauntlett, Eran Palti, James Sparks, Daniel
Waldram | The central charge of supersymmetric AdS_5 solutions of type IIB
supergravity | 4 pages | Phys.Rev.Lett.103:051601,2009 | 10.1103/PhysRevLett.103.051601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that generic supersymmetric AdS_5 solutions of type IIB supergravity
admit a canonical contact structure. This structure determines the central
charge of the dual field theory and the conformal dimension of operators dual
to supersymmetric wrapped D3-branes. Hence both quantities can be calculated
using incomplete information about the solutions, allowing us to prove that
they are rational numbers for solutions with a U(1) R-symmetry, in agreement
with field theory expectations. We also discuss related Duistermaat-Heckman
integrals and localization formulae.
| [
{
"created": "Fri, 19 Jun 2009 14:51:34 GMT",
"version": "v1"
}
] | 2009-09-02 | [
[
"Gabella",
"Maxime",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Palti",
"Eran",
""
],
[
"Sparks",
"James",
""
],
[
"Waldram",
"Daniel",
""
]
] | We show that generic supersymmetric AdS_5 solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R-symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulae. |
1904.08565 | Mark Hertzberg | Mark P. Hertzberg, Masaki Yamada | Vacuum Decay in Real Time and Imaginary Time Formalisms | 10 pages in double column format, 2 figures. V2: Further
clarifications. Updated to resemble version published in PRD | Phys. Rev. D 100, 016011 (2019) | 10.1103/PhysRevD.100.016011 | null | hep-th astro-ph.CO gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze vacuum tunneling in quantum field theory in a general formalism by
using the Wigner representation. In the standard instanton formalism, one
usually approximates the initial false vacuum state by an eigenstate of the
field operator, imposes Dirichlet boundary conditions on the initial field
value, and evolves in imaginary time. This approach does not have an obvious
physical interpretation. However, an alternative approach does have a physical
interpretation: in quantum field theory, tunneling can happen via classical
dynamics, seeded by initial quantum fluctuations in both the field and its
momentum conjugate, which was recently implemented in Ref. [1]. We show that
the Wigner representation is a useful framework to calculate and understand the
relationship between these two approaches. We find there are two, related,
saddle point approximations for the path integral of the tunneling process: one
corresponds to the instanton solution in imaginary time and the other one
corresponds to classical dynamics from initial quantum fluctuations in real
time. The classical approximation for the dynamics of the latter process is
justified only in a system with many degrees of freedom, as can appear in field
theory due to high occupancy of nucleated bubbles, while it is not justified in
single particle quantum mechanics, as we explain. We mention possible
applications of the real time formalism, including tunneling when the instanton
vanishes, or when the imaginary time contour deformation is not possible, which
may occur in cosmological settings.
| [
{
"created": "Thu, 18 Apr 2019 01:58:08 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2019 21:15:59 GMT",
"version": "v2"
}
] | 2019-08-15 | [
[
"Hertzberg",
"Mark P.",
""
],
[
"Yamada",
"Masaki",
""
]
] | We analyze vacuum tunneling in quantum field theory in a general formalism by using the Wigner representation. In the standard instanton formalism, one usually approximates the initial false vacuum state by an eigenstate of the field operator, imposes Dirichlet boundary conditions on the initial field value, and evolves in imaginary time. This approach does not have an obvious physical interpretation. However, an alternative approach does have a physical interpretation: in quantum field theory, tunneling can happen via classical dynamics, seeded by initial quantum fluctuations in both the field and its momentum conjugate, which was recently implemented in Ref. [1]. We show that the Wigner representation is a useful framework to calculate and understand the relationship between these two approaches. We find there are two, related, saddle point approximations for the path integral of the tunneling process: one corresponds to the instanton solution in imaginary time and the other one corresponds to classical dynamics from initial quantum fluctuations in real time. The classical approximation for the dynamics of the latter process is justified only in a system with many degrees of freedom, as can appear in field theory due to high occupancy of nucleated bubbles, while it is not justified in single particle quantum mechanics, as we explain. We mention possible applications of the real time formalism, including tunneling when the instanton vanishes, or when the imaginary time contour deformation is not possible, which may occur in cosmological settings. |
hep-th/9909165 | Takayuki Matsuki | T. Matsuki (Tokyo Kasei U.), M. Shiotani (Kobe U.) | Effective Couplings of Dynamical Nambu-Goldstone Bosons with Elementary
Fermions | 9 pages, 5 figures, RevTeX; 1 figure added, assumptions elucidated,
typos added | Mod.Phys.Lett. A15 (2000) 709-722 | 10.1142/S0217732300000694 | null | hep-th | null | Assuming dynamical spontaneous breakdown of chiral symmetry for massless
gauge theory without scalar fields, we find a method how to construct an
effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions
by using auxiliary fields. Here dynamical particles are asssumed to be composed
of elementary fermions. Various quantities including decay constants are
calculated from this effective action.
| [
{
"created": "Thu, 23 Sep 1999 03:23:12 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2000 06:15:36 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Matsuki",
"T.",
"",
"Tokyo Kasei U."
],
[
"Shiotani",
"M.",
"",
"Kobe U."
]
] | Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we find a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using auxiliary fields. Here dynamical particles are asssumed to be composed of elementary fermions. Various quantities including decay constants are calculated from this effective action. |
hep-th/0507031 | Harald Dorn | Harald Dorn, George Jorjadze | Oscillator quantization of the massive scalar particle dynamics on AdS
spacetime | Latex, 14 pages, version to appear in PLB | Phys.Lett. B625 (2005) 117-126 | 10.1016/j.physletb.2005.08.059 | HU-EP-05/29 | hep-th | null | The set of trajectories for massive spinless particles on $AdS_{N+1}$
spacetime is described by the dynamical integrals related to the isometry group
SO(2,N). The space of dynamical integrals is mapped one to one to the phase
space of the $N$-dimensional oscillator. Quantizing the system canonically, the
classical expressions for the symmetry generators are deformed in a consistent
way to preserve the $so(2,N)$ commutation relations. This quantization thus
yields new explicit realizations of the spin zero positive energy UIR's of
SO(2,N) for generic $N$. The representations as usual can be characterized by
their minimal energy $\alpha$ and are valid in the whole range of $\alpha$
allowed by unitarity.
| [
{
"created": "Mon, 4 Jul 2005 10:16:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2005 14:41:54 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Dorn",
"Harald",
""
],
[
"Jorjadze",
"George",
""
]
] | The set of trajectories for massive spinless particles on $AdS_{N+1}$ spacetime is described by the dynamical integrals related to the isometry group SO(2,N). The space of dynamical integrals is mapped one to one to the phase space of the $N$-dimensional oscillator. Quantizing the system canonically, the classical expressions for the symmetry generators are deformed in a consistent way to preserve the $so(2,N)$ commutation relations. This quantization thus yields new explicit realizations of the spin zero positive energy UIR's of SO(2,N) for generic $N$. The representations as usual can be characterized by their minimal energy $\alpha$ and are valid in the whole range of $\alpha$ allowed by unitarity. |
hep-th/0204228 | Monika Marquart | Monika Marquart, Daniel Waldram | F-theory duals of M-theory on $S^1/\bbZ_2\times T^4/\bbZ_N$ | 18 pages, 4 figures | null | null | QMUL-PH-02-08 | hep-th | null | In this note, we use results of Aspinwall and Morrison to discuss the
F-theory duals of certain $T^4/\bbZ_N$ orbifold compactifications of
Ho\v{r}ava--Witten theory. In the M-theory limit an interesting set of rules,
based on anomaly cancellation, has been developed for what gauge and matter
multiplets must be present on the various orbifold fixed planes. Here we show
how several aspects of these rules can be understood directly from F-theory.
| [
{
"created": "Fri, 26 Apr 2002 08:44:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Marquart",
"Monika",
""
],
[
"Waldram",
"Daniel",
""
]
] | In this note, we use results of Aspinwall and Morrison to discuss the F-theory duals of certain $T^4/\bbZ_N$ orbifold compactifications of Ho\v{r}ava--Witten theory. In the M-theory limit an interesting set of rules, based on anomaly cancellation, has been developed for what gauge and matter multiplets must be present on the various orbifold fixed planes. Here we show how several aspects of these rules can be understood directly from F-theory. |
hep-th/9402138 | Danny Birmingham | Danny Birmingham and Mark Rakowski | On Dijkgraaf-Witten Type Invariants | 18 pages | Lett.Math.Phys. 37 (1996) 363-374 | 10.1007/BF00312668 | ITFA-94-07 | hep-th math.QA | null | We explicitly construct a series of lattice models based upon the gauge group
$Z_{p}$ which have the property of subdivision invariance, when the coupling
parameter is quantized and the field configurations are restricted to satisfy a
type of mod-$p$ flatness condition. The simplest model of this type yields the
Dijkgraaf-Witten invariant of a $3$-manifold and is based upon a single link,
or $1$-simplex, field. Depending upon the manifold's dimension, other models
may have more than one species of field variable, and these may be based on
higher dimensional simplices.
| [
{
"created": "Thu, 24 Feb 1994 14:30:54 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Birmingham",
"Danny",
""
],
[
"Rakowski",
"Mark",
""
]
] | We explicitly construct a series of lattice models based upon the gauge group $Z_{p}$ which have the property of subdivision invariance, when the coupling parameter is quantized and the field configurations are restricted to satisfy a type of mod-$p$ flatness condition. The simplest model of this type yields the Dijkgraaf-Witten invariant of a $3$-manifold and is based upon a single link, or $1$-simplex, field. Depending upon the manifold's dimension, other models may have more than one species of field variable, and these may be based on higher dimensional simplices. |
1305.0013 | Constantin Candu | Constantin Candu and Carl Vollenweider | The $\mathcal{N}=1$ algebra $\mathcal{W}_\infty[\mu]$ and its
truncations | old section 5.4 removed, 46 pages | null | 10.1007/JHEP11(2013)032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The main objective of this work is to construct and classify the most general
classical and quantum $\mathcal{N}=1$ $\mathcal{W}_\infty$-algebras generated
by the same spins as the singlet algebra of $N$ fermions and $N$ bosons in the
vector representation of $O(N)$ in the $N\to\infty$ limit. This type of
algebras appears in a recent $\mathcal{N}=1$ version of the minimal model
holography. Our analysis strongly suggests that there is a one parameter family
$\mathcal{W}_\infty[\mu]$ of such algebras at every given central charge.
Relying on this assumption, we identify various truncations of
$\mathcal{W}_\infty[\mu]$ with, on the one hand, (orbifolds of) the
Drinfel'd-Sokolov reductions of the Lie superalgebras $B(n,n)$, $B(n-1,n)$,
$D(n,n)$ and $D(n+1,n)$, and, on the other hand, (orbifolds of) three
$\mathcal{N}=1$ cosets. After a closer inspection we show that these cosets can
be realized as a Drinfel'd-Sokolov reduction of $B(n,n)$, $D(n,n)$ and
$D(n+1,n)$. We then discuss the implications of our findings for the quantum
version of the $\mathcal{N}=1$ minimal model holography.
| [
{
"created": "Tue, 30 Apr 2013 20:01:15 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 2014 15:50:52 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Candu",
"Constantin",
""
],
[
"Vollenweider",
"Carl",
""
]
] | The main objective of this work is to construct and classify the most general classical and quantum $\mathcal{N}=1$ $\mathcal{W}_\infty$-algebras generated by the same spins as the singlet algebra of $N$ fermions and $N$ bosons in the vector representation of $O(N)$ in the $N\to\infty$ limit. This type of algebras appears in a recent $\mathcal{N}=1$ version of the minimal model holography. Our analysis strongly suggests that there is a one parameter family $\mathcal{W}_\infty[\mu]$ of such algebras at every given central charge. Relying on this assumption, we identify various truncations of $\mathcal{W}_\infty[\mu]$ with, on the one hand, (orbifolds of) the Drinfel'd-Sokolov reductions of the Lie superalgebras $B(n,n)$, $B(n-1,n)$, $D(n,n)$ and $D(n+1,n)$, and, on the other hand, (orbifolds of) three $\mathcal{N}=1$ cosets. After a closer inspection we show that these cosets can be realized as a Drinfel'd-Sokolov reduction of $B(n,n)$, $D(n,n)$ and $D(n+1,n)$. We then discuss the implications of our findings for the quantum version of the $\mathcal{N}=1$ minimal model holography. |
2211.11217 | Dan Radu Grigore | Dan-Radu Grigore | Third Order Tree Contributions in the Causal Approach | 24 pages. arXiv admin note: substantial text overlap with
arXiv:2202.08056, arXiv:2007.01115, arXiv:2208.07043, arXiv:2111.04364 | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the general framework of perturbative quantum field theory for
the pure Yang-Mills model developed in [9] and prove that the tree
contributions do not give anomalies. We will provide a more general form of
this gauge invariance property.
| [
{
"created": "Mon, 21 Nov 2022 07:27:04 GMT",
"version": "v1"
}
] | 2022-11-22 | [
[
"Grigore",
"Dan-Radu",
""
]
] | We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model developed in [9] and prove that the tree contributions do not give anomalies. We will provide a more general form of this gauge invariance property. |
1903.10276 | Reiji Yoshioka | Hiroshi Itoyama and Reiji Yoshioka | Generalized cut operation associated with higher order variation in
tensor models | 13 pages, 1 figure; v2: minor corrections made, a reference added | null | 10.1016/j.nuclphysb.2019.114681 | OCU-PHYS 498, NITEP 9 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The cut and join operations play important roles in tensor models in general.
We introduce a generalization of the cut operation associated with the higher
order variations and demonstrate how they generate operators in the
Aristotelian tensor model. We point out that, by successive choices of
appropriate variations, the cut operation generalized this way can generate
those operators which do not appear in the ring of the join operation,
providing a tool to enumerate the operators by a level by level analysis
recursively. We present a set of rules that control the emergence of such
operators.
| [
{
"created": "Mon, 25 Mar 2019 12:48:26 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 2019 08:59:09 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Itoyama",
"Hiroshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] | The cut and join operations play important roles in tensor models in general. We introduce a generalization of the cut operation associated with the higher order variations and demonstrate how they generate operators in the Aristotelian tensor model. We point out that, by successive choices of appropriate variations, the cut operation generalized this way can generate those operators which do not appear in the ring of the join operation, providing a tool to enumerate the operators by a level by level analysis recursively. We present a set of rules that control the emergence of such operators. |
1702.00117 | Sung-Pil Moon | Sung-pil Moon | Stochastic quantization and holographic Wilsonian renormalization group
of free massive fermion | 15 pages | International Journal of Modern Physics A Vol. 33 (2018) 1850091 | 10.1142/S0217751X18500914 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the relation between stochstic quantization and Holographic
Wilsonian Renormalization Group to the massive fermion case in Euclidean AdS
space. The original suggestion about the explicit relation between the two
theories is in arXiv:1209.2242. To give a fermion bulk action the Dirichlet
boundary condition and the Neumann boundary condition, there are some
additional terms to the bulk action. We have confirmed that the relation also
hold for massive fermion case.
| [
{
"created": "Wed, 1 Feb 2017 03:52:56 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2017 06:09:30 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jun 2018 03:29:19 GMT",
"version": "v3"
}
] | 2018-06-06 | [
[
"Moon",
"Sung-pil",
""
]
] | We extend the relation between stochstic quantization and Holographic Wilsonian Renormalization Group to the massive fermion case in Euclidean AdS space. The original suggestion about the explicit relation between the two theories is in arXiv:1209.2242. To give a fermion bulk action the Dirichlet boundary condition and the Neumann boundary condition, there are some additional terms to the bulk action. We have confirmed that the relation also hold for massive fermion case. |
1408.3822 | Dionisio Bazeia | D. Bazeia, L. Losano, J.L.R. Santos | Solitonic traveling waves in Galileon theory | 4 pages, 3 figures; new version, with new reference | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work deals with traveling waves in the two-dimensional Galileon theory.
We use the Hirota procedure to calculate one-Galileon, two-Galileon,
three-Galileon and breather-like Galileon solutions in the theory under
consideration. The results offer strong evidence that the Galileon traveling
waves are solitons, and that the Galileon theory is integrable.
| [
{
"created": "Sun, 17 Aug 2014 13:23:59 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2014 12:46:09 GMT",
"version": "v2"
}
] | 2014-10-23 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Santos",
"J. L. R.",
""
]
] | This work deals with traveling waves in the two-dimensional Galileon theory. We use the Hirota procedure to calculate one-Galileon, two-Galileon, three-Galileon and breather-like Galileon solutions in the theory under consideration. The results offer strong evidence that the Galileon traveling waves are solitons, and that the Galileon theory is integrable. |
2203.16590 | Mikhail Volkov | Romain Gervalle and Mikhail S. Volkov | Electroweak monopoles and their stability | 49 pages, 5 figures | null | 10.1016/j.nuclphysb.2022.115937 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a generalized field ansatz to describe the spherically symmetric
sector of classical solutions of the electroweak theory. This sector contains
Abelian magnetic monopoles labeled by their magnetic charge $n=\pm 1,\pm
2,\ldots$, the non-Abelian monopole for $n=\pm 2$ found previously by Cho and
Maison (CM), and also the electric oscillating solutions. All magnetic
monopoles have infinite energy. We analyze their perturbative stability and use
the method of complex spacetime tetrad to separate variables and reduce the
perturbation equations to multi-channel Schroedinger-type eigenvalue problems.
The spectra of perturbations around the CM monopole do not contain negative
modes hence this solution is stable. The $n=\pm 1$ Abelian monopole is also
stable, but all monopoles with $|n|\geq 2$ are unstable with respect to
perturbations with angular momentum $j=|n|/2-1$. The Abelian $|n|=2$ monopole
is unstable only within the $j=0$ sector whereas the CM monopole also has
$|n|=2$ and belongs to the same sector, hence it may be viewed as a stable
remnant of the decay of the Abelian monopole. One may similarly conjecture that
stable remnants exist also for monopoles with $|n|>2$, hence the CM monopole
may be just the first member of a sequence of non-Abelian monopoles with higher
magnetic charges. Only the CM monopole is spherically symmetric while all
non-Abelian monopoles with $|n|>2$ are not rotationally invariant.
| [
{
"created": "Wed, 30 Mar 2022 18:21:04 GMT",
"version": "v1"
}
] | 2022-09-07 | [
[
"Gervalle",
"Romain",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We apply a generalized field ansatz to describe the spherically symmetric sector of classical solutions of the electroweak theory. This sector contains Abelian magnetic monopoles labeled by their magnetic charge $n=\pm 1,\pm 2,\ldots$, the non-Abelian monopole for $n=\pm 2$ found previously by Cho and Maison (CM), and also the electric oscillating solutions. All magnetic monopoles have infinite energy. We analyze their perturbative stability and use the method of complex spacetime tetrad to separate variables and reduce the perturbation equations to multi-channel Schroedinger-type eigenvalue problems. The spectra of perturbations around the CM monopole do not contain negative modes hence this solution is stable. The $n=\pm 1$ Abelian monopole is also stable, but all monopoles with $|n|\geq 2$ are unstable with respect to perturbations with angular momentum $j=|n|/2-1$. The Abelian $|n|=2$ monopole is unstable only within the $j=0$ sector whereas the CM monopole also has $|n|=2$ and belongs to the same sector, hence it may be viewed as a stable remnant of the decay of the Abelian monopole. One may similarly conjecture that stable remnants exist also for monopoles with $|n|>2$, hence the CM monopole may be just the first member of a sequence of non-Abelian monopoles with higher magnetic charges. Only the CM monopole is spherically symmetric while all non-Abelian monopoles with $|n|>2$ are not rotationally invariant. |
0812.3129 | Luigi Del Debbio | Luigi Del Debbio, Eoin Kerrane, Rodolfo Russo | Mass corrections in string theory and lattice field theory | 27 pages | Phys.Rev.D80:025003,2009 | 10.1103/PhysRevD.80.025003 | QMUL-PH-08-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Kaluza-Klein compactifications of higher dimensional Yang-Mills theories
contain a number of four dimensional scalars corresponding to the internal
components of the gauge field. While at tree-level the scalar zero modes are
massless, it is well known that quantum corrections make them massive. We
compute these radiative corrections at 1-loop in an effective field theory
framework, using the background field method and proper Schwinger-time
regularization. In order to clarify the proper treatment of the sum over
KK--modes in the effective field theory approach, we consider the same problem
in two different UV completions of Yang-Mills: string theory and lattice field
theory. In both cases, when the compactification radius $R$ is much bigger than
the scale of the UV completion ($R \gg \sqrt{\alpha'},a$), we recover a mass
renormalization that is independent of the UV scale and agrees with the one
derived in the effective field theory approach. These results support the idea
that the value of the mass corrections is, in this regime, universal for any UV
completion that respects locality and gauge invariance. The string analysis
suggests that this property holds also at higher loops. The lattice analysis
suggests that the mass of the adjoint scalars appearing in $\mathcal N=2,4$
Super Yang-Mills is highly suppressed due to an interplay between the
higher-dimensional gauge invariance and the degeneracy of bosonic and fermionic
degrees of freedom.
| [
{
"created": "Tue, 16 Dec 2008 19:05:10 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2009 14:53:50 GMT",
"version": "v2"
}
] | 2009-09-16 | [
[
"Del Debbio",
"Luigi",
""
],
[
"Kerrane",
"Eoin",
""
],
[
"Russo",
"Rodolfo",
""
]
] | Kaluza-Klein compactifications of higher dimensional Yang-Mills theories contain a number of four dimensional scalars corresponding to the internal components of the gauge field. While at tree-level the scalar zero modes are massless, it is well known that quantum corrections make them massive. We compute these radiative corrections at 1-loop in an effective field theory framework, using the background field method and proper Schwinger-time regularization. In order to clarify the proper treatment of the sum over KK--modes in the effective field theory approach, we consider the same problem in two different UV completions of Yang-Mills: string theory and lattice field theory. In both cases, when the compactification radius $R$ is much bigger than the scale of the UV completion ($R \gg \sqrt{\alpha'},a$), we recover a mass renormalization that is independent of the UV scale and agrees with the one derived in the effective field theory approach. These results support the idea that the value of the mass corrections is, in this regime, universal for any UV completion that respects locality and gauge invariance. The string analysis suggests that this property holds also at higher loops. The lattice analysis suggests that the mass of the adjoint scalars appearing in $\mathcal N=2,4$ Super Yang-Mills is highly suppressed due to an interplay between the higher-dimensional gauge invariance and the degeneracy of bosonic and fermionic degrees of freedom. |
2112.08784 | Jan Troost | Sujay K. Ashok and Jan Troost | Twisted Strings in Three-dimensional Black Holes | 30 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We revisit the classical dynamics of fundamental strings in BTZ black holes
with NSNS flux. We analyse probe strings in the black hole background and
determine their classical energy using a Nambu-Goto action. Three-dimensional
gravity has a non-local effect on the metric surrounding a massive object which
can be measured by winding strings. We also study the behaviour of short and
long strings in the Wess-Zumino-Witten orbifold and show that their energy
matches the long string probe analysis. In the process, we fix subtleties in
the Lorentzian choice of NSNS flux. In Euclidean signature, we analyse the
one-loop fundamental string partition function on the BTZ black hole and
interpret the off-shell degrees of freedom as those of a coset orbifold.
Finally, we speculate on how to identify the quantum Lorentzian string spectrum
from the Euclidean orbifold partition function.
| [
{
"created": "Thu, 16 Dec 2021 11:05:00 GMT",
"version": "v1"
}
] | 2021-12-17 | [
[
"Ashok",
"Sujay K.",
""
],
[
"Troost",
"Jan",
""
]
] | We revisit the classical dynamics of fundamental strings in BTZ black holes with NSNS flux. We analyse probe strings in the black hole background and determine their classical energy using a Nambu-Goto action. Three-dimensional gravity has a non-local effect on the metric surrounding a massive object which can be measured by winding strings. We also study the behaviour of short and long strings in the Wess-Zumino-Witten orbifold and show that their energy matches the long string probe analysis. In the process, we fix subtleties in the Lorentzian choice of NSNS flux. In Euclidean signature, we analyse the one-loop fundamental string partition function on the BTZ black hole and interpret the off-shell degrees of freedom as those of a coset orbifold. Finally, we speculate on how to identify the quantum Lorentzian string spectrum from the Euclidean orbifold partition function. |
1310.8589 | Dario Francia | D. Francia, S. L. Lyakhovich and A. A. Sharapov | On the gauge symmetries of Maxwell-like higher-spin Lagrangians | 24 pages; minor changes in the Introduction, references added. To
appear in Nucl. Phys. B | null | 10.1016/j.nuclphysb.2014.02.001 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In their simplest form, metric-like Lagrangians for higher-spin massless
fields display constrained gauge symmetries, unless auxiliary fields are
introduced or locality is foregone. Specifically, in its standard incarnation,
gauge invariance of Maxwell-like Lagrangians relies on parameters with
vanishing divergence. We propose an alternative form of the corresponding local
symmetry involving unconstrained parameters of mixed-symmetry type, described
by rectangular two-row Young diagrams and entering high-derivative gauge
transformations. The resulting gauge algebra appears to be reducible and we
display the full pattern of gauge-for-gauge parameters, testing its correctness
via the corresponding counting of degrees of freedom. Incidentally, this shows
that massless higher spins admit a local unconstrained formulation with no need
for auxiliary fields.
| [
{
"created": "Thu, 31 Oct 2013 16:58:06 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2014 13:41:57 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Francia",
"D.",
""
],
[
"Lyakhovich",
"S. L.",
""
],
[
"Sharapov",
"A. A.",
""
]
] | In their simplest form, metric-like Lagrangians for higher-spin massless fields display constrained gauge symmetries, unless auxiliary fields are introduced or locality is foregone. Specifically, in its standard incarnation, gauge invariance of Maxwell-like Lagrangians relies on parameters with vanishing divergence. We propose an alternative form of the corresponding local symmetry involving unconstrained parameters of mixed-symmetry type, described by rectangular two-row Young diagrams and entering high-derivative gauge transformations. The resulting gauge algebra appears to be reducible and we display the full pattern of gauge-for-gauge parameters, testing its correctness via the corresponding counting of degrees of freedom. Incidentally, this shows that massless higher spins admit a local unconstrained formulation with no need for auxiliary fields. |
hep-th/9509101 | Slava Turyshev | Slava G. Turyshev | Black holes with regular horizons in Maxwell-scalar gravity | 19 pages, LaTex, no figures | Can.J.Phys. 74 (1996) 17-28 | 10.1139/p96-004 | null | hep-th gr-qc | null | A class of exact static spherically symmetric solutions of the
Einstein-Maxwell gravity coupled to a massless scalar field has been obtained
in harmonic coordinates of the Minkowski space-time. For each value of the
coupling constant $a$, these solutions are characterized by a set of three
parameters, the physical mass $\mu_0$, the electric charge $Q_0$ and the scalar
field parameter $k$. We have found that the solutions for both gravitational
and electromagneticfields are not only affected by the scalar field, but also
the non-trivial coupling with matter constrains the scalar field itself. In
particular, we have found that the constant $k$ generically differs from $\pm
1/2$, falling into the interval $|k|\in [0, {1\over2}\sqrt{1+a^2} \hskip 2pt
]$. It takes these values only for black holes or in the case when a scalar
field $\phi$ is totally decoupled from the matter. Our results differ from
those previously obtained in that the presence of arbitrary coupling constant
$a$ gives an opportunity to rule out the non-physica horizons. In one of the
special cases, the obtained solution corresponds to a charged dilatonic black
hole with only one horizon $\mu_+$ and hence for the Kaluza-Klein case. The
most remarkable property of this result is that the metric, the scalar
curvature, and both electromagnetic and scalar fields are all regular on this
surface. Moreover, while studying the dilaton charge, we found that the
inclusion of the scalar field in the theory result in a contraction of the
horizon. The behavior of the scalar curvature was analyzed.
| [
{
"created": "Mon, 18 Sep 1995 21:17:48 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 1995 06:13:05 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Turyshev",
"Slava G.",
""
]
] | A class of exact static spherically symmetric solutions of the Einstein-Maxwell gravity coupled to a massless scalar field has been obtained in harmonic coordinates of the Minkowski space-time. For each value of the coupling constant $a$, these solutions are characterized by a set of three parameters, the physical mass $\mu_0$, the electric charge $Q_0$ and the scalar field parameter $k$. We have found that the solutions for both gravitational and electromagneticfields are not only affected by the scalar field, but also the non-trivial coupling with matter constrains the scalar field itself. In particular, we have found that the constant $k$ generically differs from $\pm 1/2$, falling into the interval $|k|\in [0, {1\over2}\sqrt{1+a^2} \hskip 2pt ]$. It takes these values only for black holes or in the case when a scalar field $\phi$ is totally decoupled from the matter. Our results differ from those previously obtained in that the presence of arbitrary coupling constant $a$ gives an opportunity to rule out the non-physica horizons. In one of the special cases, the obtained solution corresponds to a charged dilatonic black hole with only one horizon $\mu_+$ and hence for the Kaluza-Klein case. The most remarkable property of this result is that the metric, the scalar curvature, and both electromagnetic and scalar fields are all regular on this surface. Moreover, while studying the dilaton charge, we found that the inclusion of the scalar field in the theory result in a contraction of the horizon. The behavior of the scalar curvature was analyzed. |
hep-th/9312211 | null | J. Finkelstein | The Projection Postulate of Quantum Mechanics on the Lightcone | 5 pages, LaTex, SJSU/TP-93-11 | null | 10.1016/0375-9601(84)90004-5 | null | hep-th | null | We discuss an interpretation of the projection postulate that implies
collapse of the wavefunction along the lightcone.
| [
{
"created": "Fri, 31 Dec 1993 15:57:36 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Finkelstein",
"J.",
""
]
] | We discuss an interpretation of the projection postulate that implies collapse of the wavefunction along the lightcone. |
2005.13329 | Jun-Wang Lu | Jun-Wang Lu, Huai-Fan Li and Ya-Bo Wu | Holographic $s$-wave superconductors with conformal anomaly correction | 24 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We build a holographic $s$-wave conductor/superconductor model and an
insulator/superconductor model in the four-dimensional conformal anomaly
corrected~(CAC) AdS gravity. The effects of CAC parameter $\alpha$ are studied
using both numerical and analytical methods in the probe approximation.
Concretely, when the CAC parameter increases, the critical temperature
increases for the conductor/superconductor phase transition, while the critical
chemical potential decreases for the insulator/superconductor case, which
suggests that the increasing CAC parameter enhances both superconducting phase
transitions. Meanwhile, below the critical temperature or beyond the critical
chemical potential, the scalar hair begins to condense, and the condensed
phases are found to be thermodynamically stable. The critical behaviors
obtained from numerics are confirmed by our analytical analysis. For the
parameters we are considering, the energy gap in the conductor/superconductor
model decreases monotonically by increasing the CAC parameter, while for the
insulator/superconductor model the energy of quasiparticle excitations
decreases with the CAC parameter.
| [
{
"created": "Wed, 27 May 2020 12:46:47 GMT",
"version": "v1"
}
] | 2020-06-15 | [
[
"Lu",
"Jun-Wang",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Wu",
"Ya-Bo",
""
]
] | We build a holographic $s$-wave conductor/superconductor model and an insulator/superconductor model in the four-dimensional conformal anomaly corrected~(CAC) AdS gravity. The effects of CAC parameter $\alpha$ are studied using both numerical and analytical methods in the probe approximation. Concretely, when the CAC parameter increases, the critical temperature increases for the conductor/superconductor phase transition, while the critical chemical potential decreases for the insulator/superconductor case, which suggests that the increasing CAC parameter enhances both superconducting phase transitions. Meanwhile, below the critical temperature or beyond the critical chemical potential, the scalar hair begins to condense, and the condensed phases are found to be thermodynamically stable. The critical behaviors obtained from numerics are confirmed by our analytical analysis. For the parameters we are considering, the energy gap in the conductor/superconductor model decreases monotonically by increasing the CAC parameter, while for the insulator/superconductor model the energy of quasiparticle excitations decreases with the CAC parameter. |
hep-th/0403185 | Jerzy Lukierski | A. Borowiec (Wroclaw Univ.), J. Lukierski (Wroclaw Univ.), V.
Lyakhovsky (Sankt-Petersburg Univ.), M.Mozrzymas (Wroclaw Univ.) and V.N.
Tolstoy (Moscow State Univ.) | Basic Twist Quantization of the Exceptional Lie Algebra G_2 | LaTeX, aps, jmp class, 24 pages. Minor changes, the version in press
in JMP | J.Math.Phys. 46 (2005) 103502 | 10.1063/1.2041849 | null | hep-th | null | We present the formulae for twist quantization of $g_2$, corresponding to the
solution of classical YB equation with support in the 8-dimensional Borel
subalgebra of $g_2$. The considered chain of twists consists of the four
factors describing the four steps of quantization: Jordanian twist, the two
twist factors extending Jordanian twist and the deformed Jordanian or in second
variant additional Abelian twist. The first two steps describe as well the
$sl(3)$ quantization. The coproducts are calculated for each step in explicite
form, and for that purpose we present new formulas for the calculation of
similarity transformations on tensor product. We introduce new basic generators
in universal enveloping algebra $U(g_2)$ which provide nonlinearities in
algebraic sector maximally simplifying the deformed coproducts.
| [
{
"created": "Thu, 18 Mar 2004 14:27:33 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2005 12:25:12 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Borowiec",
"A.",
"",
"Wroclaw Univ."
],
[
"Lukierski",
"J.",
"",
"Wroclaw Univ."
],
[
"Lyakhovsky",
"V.",
"",
"Sankt-Petersburg Univ."
],
[
"Mozrzymas",
"M.",
"",
"Wroclaw Univ."
],
[
"Tolstoy",
"V. N.",
"",
"Moscow State Univ."
]
] | We present the formulae for twist quantization of $g_2$, corresponding to the solution of classical YB equation with support in the 8-dimensional Borel subalgebra of $g_2$. The considered chain of twists consists of the four factors describing the four steps of quantization: Jordanian twist, the two twist factors extending Jordanian twist and the deformed Jordanian or in second variant additional Abelian twist. The first two steps describe as well the $sl(3)$ quantization. The coproducts are calculated for each step in explicite form, and for that purpose we present new formulas for the calculation of similarity transformations on tensor product. We introduce new basic generators in universal enveloping algebra $U(g_2)$ which provide nonlinearities in algebraic sector maximally simplifying the deformed coproducts. |
hep-th/0610259 | Aristomenis Donos | Aristomenis Donos | BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry | null | JHEP 0705:072,2007 | 10.1088/1126-6708/2007/05/072 | HET-BROWN-1474 | hep-th | null | We present an extension of our construction (hep-th/0606199) exhibiting
$SO(4)\times SO(2)$ symmetry. We extend the previously presented ansatz by
introducing a U(1) gauge field. The presence of the gauge field allows for more
general values of the Killing spinor U(1) charge. One more time we identify a
four dimensional Kahler structure and a Monge-Ampere type of equation
parametrized by the U(1) Killing spinor charge. In addition we identify 2
scalars that parametrize the supersymmetric solutions, one of which is the
Kahler potential.
| [
{
"created": "Tue, 24 Oct 2006 19:51:51 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Donos",
"Aristomenis",
""
]
] | We present an extension of our construction (hep-th/0606199) exhibiting $SO(4)\times SO(2)$ symmetry. We extend the previously presented ansatz by introducing a U(1) gauge field. The presence of the gauge field allows for more general values of the Killing spinor U(1) charge. One more time we identify a four dimensional Kahler structure and a Monge-Ampere type of equation parametrized by the U(1) Killing spinor charge. In addition we identify 2 scalars that parametrize the supersymmetric solutions, one of which is the Kahler potential. |
2408.04011 | Javier Magan | Valentin Benedetti, Horacio Casini, Yasuyuki Kawahigashi, Roberto
Longo and Javier M. Magan | Modular invariance as completeness | 30 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the physical meaning of modular invariance for unitary conformal
quantum field theories in d=2. For QFT models, while T invariance is necessary
for locality, S invariance is not mandatory. S invariance is a form of
completeness of the theory that has a precise meaning as Haag duality for
arbitrary multi-interval regions. We present a mathematical proof as well as
derive this result from a physical standpoint using Renyi entropies and the
replica trick. For rational CFT's, the failure of modular invariance or Haag
duality can be measured by an index, related to the quantum dimensions of the
model. We show how to compute this index from the modular transformation
matrices. The index also appears in a limit of the Renyi mutual informations.
Cases of infinite index are briefly discussed. Part of the argument can be
extended to higher dimensions, where the lack of completeness can also be
diagnosed using the CFT data through the thermal partition function and
measured by an index.
| [
{
"created": "Wed, 7 Aug 2024 18:01:48 GMT",
"version": "v1"
}
] | 2024-08-09 | [
[
"Benedetti",
"Valentin",
""
],
[
"Casini",
"Horacio",
""
],
[
"Kawahigashi",
"Yasuyuki",
""
],
[
"Longo",
"Roberto",
""
],
[
"Magan",
"Javier M.",
""
]
] | We review the physical meaning of modular invariance for unitary conformal quantum field theories in d=2. For QFT models, while T invariance is necessary for locality, S invariance is not mandatory. S invariance is a form of completeness of the theory that has a precise meaning as Haag duality for arbitrary multi-interval regions. We present a mathematical proof as well as derive this result from a physical standpoint using Renyi entropies and the replica trick. For rational CFT's, the failure of modular invariance or Haag duality can be measured by an index, related to the quantum dimensions of the model. We show how to compute this index from the modular transformation matrices. The index also appears in a limit of the Renyi mutual informations. Cases of infinite index are briefly discussed. Part of the argument can be extended to higher dimensions, where the lack of completeness can also be diagnosed using the CFT data through the thermal partition function and measured by an index. |
2009.02221 | Anirban Basu | Anirban Basu | Poisson equations for elliptic modular graph functions | 17 pages, LaTeX, 9 figures | null | 10.1016/j.physletb.2021.136086 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain Poisson equations satisfied by elliptic modular graph functions
with four links. Analysis of these equations leads to a non--trivial algebraic
relation between the various graphs.
| [
{
"created": "Fri, 4 Sep 2020 14:36:48 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 16:04:08 GMT",
"version": "v2"
}
] | 2021-01-27 | [
[
"Basu",
"Anirban",
""
]
] | We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non--trivial algebraic relation between the various graphs. |
hep-th/0211060 | Stefano Profumo | F. Bazzocchi, M. Cirafici, C. Maccaferri, S. Profumo | Matrix Models of Noncommutative (2d+1) Lattice Gauge Theories | 13 pages, LaTeX, no Figures | Int.J.Mod.Phys.A19:4287-4300,2004 | 10.1142/S0217751X04019354 | null | hep-th hep-lat | null | We investigate the problem of mapping, through the Morita equivalence, odd
dimensional noncommutative lattice gauge theories onto suitable matrix models.
We specialize our analysis to noncommutative three dimensional QED (NCQED) and
scalar QED (NCSQED), for which we explicitly build the corresponding Matrix
Model.
| [
{
"created": "Thu, 7 Nov 2002 17:40:25 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Nov 2002 21:44:29 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bazzocchi",
"F.",
""
],
[
"Cirafici",
"M.",
""
],
[
"Maccaferri",
"C.",
""
],
[
"Profumo",
"S.",
""
]
] | We investigate the problem of mapping, through the Morita equivalence, odd dimensional noncommutative lattice gauge theories onto suitable matrix models. We specialize our analysis to noncommutative three dimensional QED (NCQED) and scalar QED (NCSQED), for which we explicitly build the corresponding Matrix Model. |
hep-th/0312020 | Hassan Firouzjahi | Hassan Firouzjahi and S.-H. Henry Tye | Closer towards inflation in string theory | 12 pages, 1 figure. Two references and few comments added | Phys.Lett.B584:147-154,2004 | 10.1016/j.physletb.2004.01.022 | null | hep-th gr-qc hep-ph | null | In brane inflation, the relative brane position in the bulk of a brane world
is the inflaton. For branes moving in a compact manifold, the approximate
translational (or shift) symmetry is necessary to suppress the inflaton mass,
which then allows a slow-roll phase for enough inflation. Following recent
works, we discuss how inflation may be achieved in superstring theory. Imposing
the shift symmetry, we obtain the condition on the superpotential needed for
inflation and suggest how this condition may be naturally satisfied.
| [
{
"created": "Mon, 1 Dec 2003 20:47:42 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 2003 22:02:21 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Firouzjahi",
"Hassan",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | In brane inflation, the relative brane position in the bulk of a brane world is the inflaton. For branes moving in a compact manifold, the approximate translational (or shift) symmetry is necessary to suppress the inflaton mass, which then allows a slow-roll phase for enough inflation. Following recent works, we discuss how inflation may be achieved in superstring theory. Imposing the shift symmetry, we obtain the condition on the superpotential needed for inflation and suggest how this condition may be naturally satisfied. |
hep-th/9510039 | Okumura Yoshitaka | Yoshitaka Okumura, Katsusada Morita | Reconstruction of the spontaneously broken gauge theory in
non-commutative geometry | 21 pages | NuovoCim.A109:311-326,1996 | 10.1007/BF02731017 | Chubu 9504 | hep-th | null | The scheme previously proposed by the present authors is modified to
incorporate the strong interaction by affording the direct product internal
symmetry. We do not need to prepare the extra discrete space for the color
gauge group responsible for the strong interaction to reconstruct the standard
model and the left-right symmetric gauge model(LRSM). The approach based on
non-commutative geometry leads us to presents many attractive points such as
the unified picture of the gauge and Higgs field as the generalized connection
on the discrete space; Minkowski space multipied by N-points discrete space.
This approach leads us to unified picture of gauge and Higgs fields as the
generalized connection. The standard model needs N=2 discrete space for
reconstruction in this formalism. \lr is still alive as a model with the
intermediate symmetry of the spontaneously broken SO(10) grand unified
theory(GUT). N=3 discrete space is needed for the reconstruction of LRSM to
include two Higgs bosons $\phi$ and $\xi$ which are as usual transformed as
(2,2*,0)$ and (1,3,-2) under left-handed SU(2)x right-handed SU(2)x U(1),
respectively. xi is responsible to make the right handed-neutrino Majorana
fermion and so well explains the seesaw mechanism. Up and down quarks have the
different masses through the vacuum expectation value of phi.
| [
{
"created": "Sat, 7 Oct 1995 02:48:07 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 1995 08:33:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Okumura",
"Yoshitaka",
""
],
[
"Morita",
"Katsusada",
""
]
] | The scheme previously proposed by the present authors is modified to incorporate the strong interaction by affording the direct product internal symmetry. We do not need to prepare the extra discrete space for the color gauge group responsible for the strong interaction to reconstruct the standard model and the left-right symmetric gauge model(LRSM). The approach based on non-commutative geometry leads us to presents many attractive points such as the unified picture of the gauge and Higgs field as the generalized connection on the discrete space; Minkowski space multipied by N-points discrete space. This approach leads us to unified picture of gauge and Higgs fields as the generalized connection. The standard model needs N=2 discrete space for reconstruction in this formalism. \lr is still alive as a model with the intermediate symmetry of the spontaneously broken SO(10) grand unified theory(GUT). N=3 discrete space is needed for the reconstruction of LRSM to include two Higgs bosons $\phi$ and $\xi$ which are as usual transformed as (2,2*,0)$ and (1,3,-2) under left-handed SU(2)x right-handed SU(2)x U(1), respectively. xi is responsible to make the right handed-neutrino Majorana fermion and so well explains the seesaw mechanism. Up and down quarks have the different masses through the vacuum expectation value of phi. |
2011.13953 | Mikel A. Urkiola | Jose J. Blanco-Pillado, Kepa Sousa, Mikel A. Urkiola, Jeremy M.
Wachter | Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum | 10 pages, 5 figures; v2: fixed typos, added references; v3: fixed
typos, added appendix on estimate of the number of vacua | Phys. Rev. D 103, 106006 (2021) | 10.1103/PhysRevD.103.106006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on a new class of flux vacua generically present in Calabi-Yau
compactifications of type-IIB string theory. At these vacua, the mass spectrum
of the complete axio-dilaton/complex structure sector is given, to leading
order in $\alpha'$ and $g_s$, by a simple analytic formula independent of the
choice of Calabi-Yau. We provide a method to find these vacua, and construct an
ensemble of $17,054$ solutions for the Calabi-Yau hypersurface
$\mathbb{WP}_{[1,1,1,6,9]}^4$, where the masses of the axio-dilaton and the
$272$ complex structure fields can be explicitly computed.
| [
{
"created": "Fri, 27 Nov 2020 19:00:43 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 2020 14:28:16 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Apr 2021 18:24:39 GMT",
"version": "v3"
}
] | 2021-05-12 | [
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Sousa",
"Kepa",
""
],
[
"Urkiola",
"Mikel A.",
""
],
[
"Wachter",
"Jeremy M.",
""
]
] | We report on a new class of flux vacua generically present in Calabi-Yau compactifications of type-IIB string theory. At these vacua, the mass spectrum of the complete axio-dilaton/complex structure sector is given, to leading order in $\alpha'$ and $g_s$, by a simple analytic formula independent of the choice of Calabi-Yau. We provide a method to find these vacua, and construct an ensemble of $17,054$ solutions for the Calabi-Yau hypersurface $\mathbb{WP}_{[1,1,1,6,9]}^4$, where the masses of the axio-dilaton and the $272$ complex structure fields can be explicitly computed. |
0907.2010 | Michael Kuchiev | Michael Kuchiev | Supersymmetric N=2 gauge theory with arbitrary gauge group | 39 pages, introduction is shortened, editing is employed, and section
10 is added in accord with the journal publication | Nucl.Phys.B838:331-357,2010 | 10.1016/j.nuclphysb.2010.05.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new universal model to implement the Seiberg-Witten approach to low-energy
properties of the supersymmetric N=2 gauge theory with an arbitrary compact
simple gauge group, classical or exceptional, is suggested. It is based on the
hyperelliptic curve, whose genus equals the rank of the gauge group. The weak
and strong coupling limits are reproduced. The magnetic and electric charges of
light dyons, which are present in the proposed model comply with recent
predictions derived from the general properties of the theory. The discrete
chiral symmetry is implemented, the duality condition is reproduced, and
connections between monodromies at weak and strong coupling are established. It
is found that the spectra of monopoles and dyons are greatly simplified when
vectors representing the scalar and dual fields in the Cartan algebra are
aligned along the Weyl vector. This general feature of the theory is used for
an additional verification of the model. The model predicts the identical
analytic structures of the coupling constants for the theories based on the
SU(r+1) and Sp(2r) gauge groups.
| [
{
"created": "Sun, 12 Jul 2009 07:43:13 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 2010 05:21:04 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Kuchiev",
"Michael",
""
]
] | A new universal model to implement the Seiberg-Witten approach to low-energy properties of the supersymmetric N=2 gauge theory with an arbitrary compact simple gauge group, classical or exceptional, is suggested. It is based on the hyperelliptic curve, whose genus equals the rank of the gauge group. The weak and strong coupling limits are reproduced. The magnetic and electric charges of light dyons, which are present in the proposed model comply with recent predictions derived from the general properties of the theory. The discrete chiral symmetry is implemented, the duality condition is reproduced, and connections between monodromies at weak and strong coupling are established. It is found that the spectra of monopoles and dyons are greatly simplified when vectors representing the scalar and dual fields in the Cartan algebra are aligned along the Weyl vector. This general feature of the theory is used for an additional verification of the model. The model predicts the identical analytic structures of the coupling constants for the theories based on the SU(r+1) and Sp(2r) gauge groups. |
1012.5190 | Jorgen Rasmussen | Jorgen Rasmussen | Classification of Kac representations in the logarithmic minimal models
LM(1,p) | 31 pages, v2: comments, subsection and references added | Nucl.Phys.B853:404-435,2011 | 10.1016/j.nuclphysb.2011.07.026 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For each pair of positive integers r,s, there is a so-called Kac
representation (r,s) associated with a Yang-Baxter integrable boundary
condition in the lattice approach to the logarithmic minimal model LM(1,p). We
propose a classification of these representations as finitely-generated
submodules of Feigin-Fuchs modules, and present a conjecture for their fusion
algebra which we call the Kac fusion algebra. The proposals are tested using a
combination of the lattice approach and applications of the
Nahm-Gaberdiel-Kausch algorithm. We also discuss how the fusion algebra may be
extended by inclusion of the modules contragredient to the Kac representations,
and determine polynomial fusion rings isomorphic to the conjectured Kac fusion
algebra and its contragredient extension.
| [
{
"created": "Thu, 23 Dec 2010 13:01:12 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2011 03:21:13 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Rasmussen",
"Jorgen",
""
]
] | For each pair of positive integers r,s, there is a so-called Kac representation (r,s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal model LM(1,p). We propose a classification of these representations as finitely-generated submodules of Feigin-Fuchs modules, and present a conjecture for their fusion algebra which we call the Kac fusion algebra. The proposals are tested using a combination of the lattice approach and applications of the Nahm-Gaberdiel-Kausch algorithm. We also discuss how the fusion algebra may be extended by inclusion of the modules contragredient to the Kac representations, and determine polynomial fusion rings isomorphic to the conjectured Kac fusion algebra and its contragredient extension. |
1102.4337 | Marco Caldarelli | Marco M. Caldarelli, Oscar J.C. Dias, Ricardo Monteiro, and Jorge E.
Santos | Black funnels and droplets in thermal equilibrium | 37 pages, 12 figures | null | 10.1007/JHEP05(2011)116 | CPHT-RR004.0211, LPT-ORSAY 11-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been proposed that the strong coupling behaviour of quantum
field theories on a non-dynamical black hole background can be described, in
the context of the AdS/CFT correspondence, by a competition between two gravity
duals: a black funnel and a black droplet. We present here thermal equilibrium
solutions which represent such spacetimes, providing the first example where
the thermal competition between the gravity duals can be studied. The solutions
correspond to a special family of charged AdS C-metrics. We compute the
corresponding Euclidean actions and find that the black funnel always dominates
the canonical ensemble in our example, meaning that the field theory does not
undergo a phase transition.
| [
{
"created": "Mon, 21 Feb 2011 21:00:06 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Caldarelli",
"Marco M.",
""
],
[
"Dias",
"Oscar J. C.",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Santos",
"Jorge E.",
""
]
] | It has recently been proposed that the strong coupling behaviour of quantum field theories on a non-dynamical black hole background can be described, in the context of the AdS/CFT correspondence, by a competition between two gravity duals: a black funnel and a black droplet. We present here thermal equilibrium solutions which represent such spacetimes, providing the first example where the thermal competition between the gravity duals can be studied. The solutions correspond to a special family of charged AdS C-metrics. We compute the corresponding Euclidean actions and find that the black funnel always dominates the canonical ensemble in our example, meaning that the field theory does not undergo a phase transition. |
1412.5137 | Stijn van Tongeren | Gleb Arutyunov and Stijn J. van Tongeren | Double Wick rotating Green-Schwarz strings | v2, updated discussion on target space interpretation, elaborated
discussion on minor points, content matches published version, 28 pages, 3
figures | JHEP 1505 (2015) 027 | 10.1007/JHEP05(2015)027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Via an appropriate field redefinition of the fermions, we find a set of
conditions under which light cone gauge fixed world sheet theories of strings
on two different backgrounds are related by a double Wick rotation. These
conditions take the form of a set of transformation laws for the background
fields, complementing a set of transformation laws for the metric and B field
we found previously with a set for the dilaton and RR fields, and are
compatible with the supergravity equations of motion. Our results prove that at
least to second order in fermions, the AdS_5 x S^5 mirror model which plays an
important role in the field of integrability in AdS/CFT, represents a string on
`mirror AdS_5 x S^5', the background that follows from our transformations. We
discuss analogous solutions for AdS_3 x S^3 x T^4 and AdS_2 x S^2 x T^6. The
main ingredient in our derivation is the light cone gauge fixed action for a
string on an (almost) completely generic background, which we explicitly derive
to second order in fermions.
| [
{
"created": "Tue, 16 Dec 2014 19:46:18 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2015 13:51:27 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Arutyunov",
"Gleb",
""
],
[
"van Tongeren",
"Stijn J.",
""
]
] | Via an appropriate field redefinition of the fermions, we find a set of conditions under which light cone gauge fixed world sheet theories of strings on two different backgrounds are related by a double Wick rotation. These conditions take the form of a set of transformation laws for the background fields, complementing a set of transformation laws for the metric and B field we found previously with a set for the dilaton and RR fields, and are compatible with the supergravity equations of motion. Our results prove that at least to second order in fermions, the AdS_5 x S^5 mirror model which plays an important role in the field of integrability in AdS/CFT, represents a string on `mirror AdS_5 x S^5', the background that follows from our transformations. We discuss analogous solutions for AdS_3 x S^3 x T^4 and AdS_2 x S^2 x T^6. The main ingredient in our derivation is the light cone gauge fixed action for a string on an (almost) completely generic background, which we explicitly derive to second order in fermions. |
hep-th/9803154 | Wen-feng Chen | M. Chaichian, W.F. Chen and C. Montonen | On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills
Theory | 27 pages, RevTex, no figures | Nucl.Phys. B537 (1999) 161-183 | 10.1016/S0550-3213(98)00660-9 | null | hep-th | null | We investigate the perturbative part of Seiberg's low-energy effective action
of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the
conventional effective field theory technique. Using the method of constant
field approximation and restricting the effective action with at most two
derivatives and not more than four-fermion couplings, we show some features of
the low-energy effective action given by Seiberg based on $U(1)_R$ anomaly and
non-perturbative $\beta$-function arguments.
| [
{
"created": "Thu, 19 Mar 1998 14:24:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chaichian",
"M.",
""
],
[
"Chen",
"W. F.",
""
],
[
"Montonen",
"C.",
""
]
] | We investigate the perturbative part of Seiberg's low-energy effective action of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field approximation and restricting the effective action with at most two derivatives and not more than four-fermion couplings, we show some features of the low-energy effective action given by Seiberg based on $U(1)_R$ anomaly and non-perturbative $\beta$-function arguments. |
0801.2253 | Rachid Ahl Laamara | T. Lhallabi and A. Moujib | Integrability and Generalized Monodromy Matrix | 13 pages, No figures | Phys.Rev.D76:064036,2007 | 10.1103/PhysRevD.76.064036 | null | hep-th | null | We construct the Generalized Monodromy matrix $\mathcal{\hat{M}}(\omega)$ of
two dimensional string effective action by introducing the T-duality group
properties.The integrability conditions with general solutions depending on
spectral parameter are given. This construction is investigated for the exactly
solvable Wess, Zumino, Novikov and Witten (WZNW) model in pp-wave Limit when
B=0.
| [
{
"created": "Tue, 15 Jan 2008 10:47:05 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lhallabi",
"T.",
""
],
[
"Moujib",
"A.",
""
]
] | We construct the Generalized Monodromy matrix $\mathcal{\hat{M}}(\omega)$ of two dimensional string effective action by introducing the T-duality group properties.The integrability conditions with general solutions depending on spectral parameter are given. This construction is investigated for the exactly solvable Wess, Zumino, Novikov and Witten (WZNW) model in pp-wave Limit when B=0. |
1307.0808 | Juan Pedraza | Mohammad Edalati and Juan F. Pedraza | Aspects of Current Correlators in Holographic Theories with Hyperscaling
Violation | 14 pages; v2: to appear in PRD | Phys. Rev. D 88, 086004 (2013) | 10.1103/PhysRevD.88.086004 | UTTG-17-13, TCC-014-13 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the low energy and low momentum behavior of current correlators in a
class of holographic zero-temperature finite density critical theories which do
not respect the hyperscaling relation. The dual holographic description is
assumed to be given by probe D-branes embedded in background geometries
characterized by a dynamical critical exponent $z$ and a hyperscaling violation
exponent $\theta$. We show that a subset of these theories with $1\leq
z<2(1-\theta/d)$ exhibit a stable linearly-dispersing mode in their low energy
spectrum of excitations. This mode, which appears as a pole in the retarded
correlators of charge density and longitudinal currents, has some
characteristics similar to that of the zero sound in Fermi liquids. Given some
reasonable assumptions, we argue that the class of theories with $\theta =d-1$
that logarithmically violate the area law in the entanglement entropy in a
manner reminiscent of theories with Fermi surfaces, does \emph {not} exhibit a
zero sound-like mode in the low energy spectrum of the probe sector.
Furthermore, utilizing the holographic Wilsonian approach, we explicitly show
that such a mode has a natural interpretation as a Goldston boson arising from
the spontaneous breaking of a specific symmetry.
| [
{
"created": "Tue, 2 Jul 2013 19:55:40 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Sep 2013 02:26:27 GMT",
"version": "v2"
}
] | 2013-10-22 | [
[
"Edalati",
"Mohammad",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | We study the low energy and low momentum behavior of current correlators in a class of holographic zero-temperature finite density critical theories which do not respect the hyperscaling relation. The dual holographic description is assumed to be given by probe D-branes embedded in background geometries characterized by a dynamical critical exponent $z$ and a hyperscaling violation exponent $\theta$. We show that a subset of these theories with $1\leq z<2(1-\theta/d)$ exhibit a stable linearly-dispersing mode in their low energy spectrum of excitations. This mode, which appears as a pole in the retarded correlators of charge density and longitudinal currents, has some characteristics similar to that of the zero sound in Fermi liquids. Given some reasonable assumptions, we argue that the class of theories with $\theta =d-1$ that logarithmically violate the area law in the entanglement entropy in a manner reminiscent of theories with Fermi surfaces, does \emph {not} exhibit a zero sound-like mode in the low energy spectrum of the probe sector. Furthermore, utilizing the holographic Wilsonian approach, we explicitly show that such a mode has a natural interpretation as a Goldston boson arising from the spontaneous breaking of a specific symmetry. |
2405.20158 | Xian Gao | Yu-Min Hu and Xian Gao | Parity-violating scalar-tensor theory and the Qi-Xiu | 33 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We investigate the parity-violating scalar-tensor theory and pay special
attention to terms that are free of the Ostrogradsky ghost in the unitary
gauge, i.e., when the scalar field possesses a timelike gradient. We
exhaustively identify the generally covariant scalar-tensor theory (GST)
monomials with parity violation up to $d=4$, where $d$ is the total number of
derivatives in the unitary gauge. According to the correspondence between GST
terms and the spatially covariant gravity (SCG) terms in the unitary gauge, we
also exhaustively identify the SCG monomials with parity violation up to $d=4$,
where the Lie derivatives of the extrinsic curvature and the lapse function are
necessarily introduced. We find a total of 9 independent parity-violating SCG
monomials, of which 7 contain no higher-order Lie derivatives and are thus
automatically free of ghosts, while 2 involve Lie derivatives of the extrinsic
curvature and the lapse function and are thus potentially dangerous. By
explicitly deriving their generally covariant correspondence, we obtain 7
independent scalar-tensor terms dubbed the ``Qi-Xiu'' Lagrangians, which are
the most general parity-violating scalar-tensor theories that are ghost-free in
the unitary gauge up to $d=4$. Our results include the existing theories in the
literature, such as the Chern-Simons term and the chiral scalar-tensor
theories, as special cases.
| [
{
"created": "Thu, 30 May 2024 15:31:36 GMT",
"version": "v1"
}
] | 2024-05-31 | [
[
"Hu",
"Yu-Min",
""
],
[
"Gao",
"Xian",
""
]
] | We investigate the parity-violating scalar-tensor theory and pay special attention to terms that are free of the Ostrogradsky ghost in the unitary gauge, i.e., when the scalar field possesses a timelike gradient. We exhaustively identify the generally covariant scalar-tensor theory (GST) monomials with parity violation up to $d=4$, where $d$ is the total number of derivatives in the unitary gauge. According to the correspondence between GST terms and the spatially covariant gravity (SCG) terms in the unitary gauge, we also exhaustively identify the SCG monomials with parity violation up to $d=4$, where the Lie derivatives of the extrinsic curvature and the lapse function are necessarily introduced. We find a total of 9 independent parity-violating SCG monomials, of which 7 contain no higher-order Lie derivatives and are thus automatically free of ghosts, while 2 involve Lie derivatives of the extrinsic curvature and the lapse function and are thus potentially dangerous. By explicitly deriving their generally covariant correspondence, we obtain 7 independent scalar-tensor terms dubbed the ``Qi-Xiu'' Lagrangians, which are the most general parity-violating scalar-tensor theories that are ghost-free in the unitary gauge up to $d=4$. Our results include the existing theories in the literature, such as the Chern-Simons term and the chiral scalar-tensor theories, as special cases. |
1506.01065 | Olaf Hohm | Arnaud Baguet, Olaf Hohm and Henning Samtleben | E$_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB | 49 pages, Contribution to the Proceedings of the Workshop on Quantum
Fields and Strings, Corfu 2014, v2: typos corrected, refs. added | null | null | MIT/CTP-4669 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review E$_{6(6)}$ exceptional field theory with a particular emphasis on
the embedding of type IIB supergravity, which is obtained by picking the
GL$(5)\times {\rm SL}(2)$ invariant solution of the section constraint. We work
out the precise decomposition of the E$_{6(6)}$ covariant fields on the one
hand and the Kaluza-Klein-like decomposition of type IIB supergravity on the
other. Matching the symmetries, this allows us to establish the precise
dictionary between both sets of fields. Finally, we establish on-shell
equivalence. In particular, we show how the self-duality constraint for the
four-form potential in type IIB is reconstructed from the duality relations in
the off-shell formulation of the E$_{6(6)}$ exceptional field theory.
| [
{
"created": "Tue, 2 Jun 2015 21:15:29 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 2015 23:15:05 GMT",
"version": "v2"
}
] | 2015-10-01 | [
[
"Baguet",
"Arnaud",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Samtleben",
"Henning",
""
]
] | We review E$_{6(6)}$ exceptional field theory with a particular emphasis on the embedding of type IIB supergravity, which is obtained by picking the GL$(5)\times {\rm SL}(2)$ invariant solution of the section constraint. We work out the precise decomposition of the E$_{6(6)}$ covariant fields on the one hand and the Kaluza-Klein-like decomposition of type IIB supergravity on the other. Matching the symmetries, this allows us to establish the precise dictionary between both sets of fields. Finally, we establish on-shell equivalence. In particular, we show how the self-duality constraint for the four-form potential in type IIB is reconstructed from the duality relations in the off-shell formulation of the E$_{6(6)}$ exceptional field theory. |
hep-th/9705134 | Eleonora Alfinito | E. Alfinito, R. Manka and G. Vitiello | Double Universe | LaTex file, 28 pages, no figures | null | null | null | hep-th gr-qc | null | We discuss the canonical quantization of non-unitary time evolution in
inflating Universe. We consider gravitational wave modes in the FRW metrics in
a de Sitter phase and show that the vacuum is a two-mode SU(1,1) squeezed state
of thermo field dynamics, thus exhibiting the link between inflationary
evolution and thermal properties. In particular we discuss the entropy and the
free energy of the system. The state space splits into many unitarily
inequivalent representations of the canonical commutation relations
parametrized by time $t$ and non-unitary time evolution is described as a
trajectory in the space of the representations: the system evolves in time by
running over unitarily inequivalent representations. The generator of time
evolution is related to the entropy operator. A central ingredient in our
discussion is the doubling of the degrees of freedom which turns out to be the
bridge to the unified picture of non-unitary time evolution, squeezing and
thermal properties in inflating metrics.
| [
{
"created": "Mon, 19 May 1997 13:29:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alfinito",
"E.",
""
],
[
"Manka",
"R.",
""
],
[
"Vitiello",
"G.",
""
]
] | We discuss the canonical quantization of non-unitary time evolution in inflating Universe. We consider gravitational wave modes in the FRW metrics in a de Sitter phase and show that the vacuum is a two-mode SU(1,1) squeezed state of thermo field dynamics, thus exhibiting the link between inflationary evolution and thermal properties. In particular we discuss the entropy and the free energy of the system. The state space splits into many unitarily inequivalent representations of the canonical commutation relations parametrized by time $t$ and non-unitary time evolution is described as a trajectory in the space of the representations: the system evolves in time by running over unitarily inequivalent representations. The generator of time evolution is related to the entropy operator. A central ingredient in our discussion is the doubling of the degrees of freedom which turns out to be the bridge to the unified picture of non-unitary time evolution, squeezing and thermal properties in inflating metrics. |
1105.2565 | Ricardo Monteiro | Ricardo Monteiro, Donal O'Connell | The Kinematic Algebra From the Self-Dual Sector | 29 pages, 5 figures. v2: references added, published version | JHEP 1107 (2011) 007 | 10.1007/JHEP07(2011)007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a diffeomorphism Lie algebra in the self-dual sector of
Yang-Mills theory, and show that it determines the kinematic numerators of
tree-level MHV amplitudes in the full theory. These amplitudes can be computed
off-shell from Feynman diagrams with only cubic vertices, which are dressed
with the structure constants of both the Yang-Mills colour algebra and the
diffeomorphism algebra. Therefore, the latter algebra is the dual of the colour
algebra, in the sense suggested by the work of Bern, Carrasco and Johansson. We
further study perturbative gravity, both in the self-dual and in the MHV
sectors, finding that the kinematic numerators of the theory are the BCJ
squares of the Yang-Mills numerators.
| [
{
"created": "Thu, 12 May 2011 20:00:42 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2011 16:06:15 GMT",
"version": "v2"
}
] | 2011-07-27 | [
[
"Monteiro",
"Ricardo",
""
],
[
"O'Connell",
"Donal",
""
]
] | We identify a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and show that it determines the kinematic numerators of tree-level MHV amplitudes in the full theory. These amplitudes can be computed off-shell from Feynman diagrams with only cubic vertices, which are dressed with the structure constants of both the Yang-Mills colour algebra and the diffeomorphism algebra. Therefore, the latter algebra is the dual of the colour algebra, in the sense suggested by the work of Bern, Carrasco and Johansson. We further study perturbative gravity, both in the self-dual and in the MHV sectors, finding that the kinematic numerators of the theory are the BCJ squares of the Yang-Mills numerators. |
2306.05287 | Robert Moerman | Robert Moerman | Positive Geometries for Scattering Amplitudes in Momentum Space | PhD Dissertation | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Positive geometries provide a purely geometric point of departure for
studying scattering amplitudes in quantum field theory. A positive geometry is
a specific semi-algebraic set equipped with a unique rational top form - the
canonical form. There are known examples where the canonical form of some
positive geometry, defined in some kinematic space, encodes a scattering
amplitude in some theory. Remarkably, the boundaries of the positive geometry
are in bijection with the physical singularities of the scattering amplitude.
The Amplituhedron, discovered by Arkani-Hamed and Trnka, is a prototypical
positive geometry. It lives in momentum twistor space and describes tree-level
(and the integrands of planar loop-level) scattering amplitudes in maximally
supersymmetric Yang-Mills theory.
In this dissertation, we study three positive geometries defined in on-shell
momentum space: the Arkani-Hamed-Bai-He-Yan (ABHY) associahedron, the Momentum
Amplituhedron, and the orthogonal Momentum Amplituhedron. Each describes
tree-level scattering amplitudes for different theories in different spacetime
dimensions. The three positive geometries share a series of interrelations in
terms of their boundary posets and canonical forms. We review these
relationships in detail, highlighting the author's contributions. We study
their boundary posets, classifying all boundaries and hence all physical
singularities at the tree level. We develop new combinatorial results to derive
rank-generating functions which enumerate boundaries according to their
dimension. These generating functions allow us to prove that the Euler
characteristics of the three positive geometries are one. In addition, we
discuss methods for manipulating canonical forms using ideas from computational
algebraic geometry.
| [
{
"created": "Thu, 8 Jun 2023 15:34:00 GMT",
"version": "v1"
}
] | 2023-06-09 | [
[
"Moerman",
"Robert",
""
]
] | Positive geometries provide a purely geometric point of departure for studying scattering amplitudes in quantum field theory. A positive geometry is a specific semi-algebraic set equipped with a unique rational top form - the canonical form. There are known examples where the canonical form of some positive geometry, defined in some kinematic space, encodes a scattering amplitude in some theory. Remarkably, the boundaries of the positive geometry are in bijection with the physical singularities of the scattering amplitude. The Amplituhedron, discovered by Arkani-Hamed and Trnka, is a prototypical positive geometry. It lives in momentum twistor space and describes tree-level (and the integrands of planar loop-level) scattering amplitudes in maximally supersymmetric Yang-Mills theory. In this dissertation, we study three positive geometries defined in on-shell momentum space: the Arkani-Hamed-Bai-He-Yan (ABHY) associahedron, the Momentum Amplituhedron, and the orthogonal Momentum Amplituhedron. Each describes tree-level scattering amplitudes for different theories in different spacetime dimensions. The three positive geometries share a series of interrelations in terms of their boundary posets and canonical forms. We review these relationships in detail, highlighting the author's contributions. We study their boundary posets, classifying all boundaries and hence all physical singularities at the tree level. We develop new combinatorial results to derive rank-generating functions which enumerate boundaries according to their dimension. These generating functions allow us to prove that the Euler characteristics of the three positive geometries are one. In addition, we discuss methods for manipulating canonical forms using ideas from computational algebraic geometry. |
1310.2626 | Gerry McKeon Dr. | D.G.C. McKeon | A Doubly Supersymmetric Particle in 3+3 Dimensions | null | null | 10.1139/cjp-2013-0532 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown how in 3+3 dimensions, it is possible to have a superparticle
Lagrangian that has manifest supersymmetry both on the world line and in the
target space.
| [
{
"created": "Wed, 9 Oct 2013 20:30:02 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"McKeon",
"D. G. C.",
""
]
] | It is shown how in 3+3 dimensions, it is possible to have a superparticle Lagrangian that has manifest supersymmetry both on the world line and in the target space. |
hep-th/0610206 | Ulrich Ellwanger | U. Ellwanger | S-Dual Gravity in the Axial Gauge | Parts of the Introduction rewritten; accepted for publication in CQG | Class.Quant.Grav.24:785-800,2007 | 10.1088/0264-9381/24/4/002 | LPT Orsay 06-58 | hep-th gr-qc | null | We investigate an action that includes simultaneously original and dual
gravitational fields (in the first order formalism), where the dual fields are
completely determined in terms of the original fields through axial gauge
conditions and partial (non-covariant) duality constraints. We introduce two
kinds of matter, one that couples to the original metric, and dual matter that
couples to the dual metric. The linear response of both metrics to the
corresponding stress energy tensors coincides with Einstein's equations. In the
presence of nonvanishing standard and dual cosmological constants a stable
solution with a time independent dual scale factor exists that could possibly
solve the cosmological constant problem, provided our world is identified with
the dual sector of the model.
| [
{
"created": "Wed, 18 Oct 2006 15:20:20 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2006 08:20:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ellwanger",
"U.",
""
]
] | We investigate an action that includes simultaneously original and dual gravitational fields (in the first order formalism), where the dual fields are completely determined in terms of the original fields through axial gauge conditions and partial (non-covariant) duality constraints. We introduce two kinds of matter, one that couples to the original metric, and dual matter that couples to the dual metric. The linear response of both metrics to the corresponding stress energy tensors coincides with Einstein's equations. In the presence of nonvanishing standard and dual cosmological constants a stable solution with a time independent dual scale factor exists that could possibly solve the cosmological constant problem, provided our world is identified with the dual sector of the model. |
1704.05387 | Jakub Jankowski | Romuald A. Janik, Jakub Jankowski and Hesam Soltanpanahi | Real-Time dynamics and phase separation in a holographic first order
phase transition | 4 pages,4 figures, one reference added | Phys. Rev. Lett. 119, 261601 (2017) | 10.1103/PhysRevLett.119.261601 | IPM/P-2017/014 | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fully nonlinear time evolution of a holographic system
possessing a first order phase transition. The initial state is chosen in the
spinodal region of the phase diagram, and includes an inhomogeneous
perturbation in one of the field theory directions. The final state of the time
evolution shows a clear phase separation in the form of domain formation. The
results indicate the existence of a very rich class of inhomogeneous black hole
solutions.
| [
{
"created": "Tue, 18 Apr 2017 15:06:38 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2017 15:29:06 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jan 2018 09:34:16 GMT",
"version": "v3"
}
] | 2018-01-16 | [
[
"Janik",
"Romuald A.",
""
],
[
"Jankowski",
"Jakub",
""
],
[
"Soltanpanahi",
"Hesam",
""
]
] | We study the fully nonlinear time evolution of a holographic system possessing a first order phase transition. The initial state is chosen in the spinodal region of the phase diagram, and includes an inhomogeneous perturbation in one of the field theory directions. The final state of the time evolution shows a clear phase separation in the form of domain formation. The results indicate the existence of a very rich class of inhomogeneous black hole solutions. |
hep-th/9812132 | Jin-Mo Chung | J.-M. Chung and Phillial Oh | Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion
of QED | 6 pages, no figure, RevTex, A revised version | Phys.Rev. D60 (1999) 067702 | 10.1103/PhysRevD.60.067702 | MIT-CTP-2809 | hep-th | null | We calculate by the method of dimensional regularization and derivative
expansion the one-loop effective action for a Dirac fermion with a
Lorentz-violating and CPT-odd kinetic term in the background of a gauge field.
We show that this term induces a Chern-Simons modification to Maxwell theory.
Some related issues are also discussed.
| [
{
"created": "Tue, 15 Dec 1998 19:02:16 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 1998 19:18:07 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jan 1999 18:58:38 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Jun 1999 16:17:11 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Chung",
"J. -M.",
""
],
[
"Oh",
"Phillial",
""
]
] | We calculate by the method of dimensional regularization and derivative expansion the one-loop effective action for a Dirac fermion with a Lorentz-violating and CPT-odd kinetic term in the background of a gauge field. We show that this term induces a Chern-Simons modification to Maxwell theory. Some related issues are also discussed. |
1108.4943 | Joel Ekstrand | Joel Ekstrand, Reimundo Heluani and Maxim Zabzine | Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds | 34 pages; v2: minor typographic changes | Journal of Geometry and Physics, Volume 62, Issue 11, November
2012, Pages 2259-2278 | 10.1016/j.geomphys.2012.07.003 | UUITP-24/11; NSF-KITP-11-195 | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a sheaf of N=2 vertex algebras naturally associated to any
Poisson manifold. The relation of this sheaf to the chiral de Rham complex is
discussed. We reprove the result about the existence of two commuting N = 2
superconformal structures on the space of sections of the chiral de Rham
complex of a Calabi-Yau manifold, but now calculated in a manifest N=2
formalism. We discuss how the semi-classical limit of this sheaf of N=2 vertex
algebras is related to the classical supersymmetric non-linear sigma model.
| [
{
"created": "Wed, 24 Aug 2011 20:20:39 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2011 12:57:16 GMT",
"version": "v2"
}
] | 2012-08-24 | [
[
"Ekstrand",
"Joel",
""
],
[
"Heluani",
"Reimundo",
""
],
[
"Zabzine",
"Maxim",
""
]
] | We construct a sheaf of N=2 vertex algebras naturally associated to any Poisson manifold. The relation of this sheaf to the chiral de Rham complex is discussed. We reprove the result about the existence of two commuting N = 2 superconformal structures on the space of sections of the chiral de Rham complex of a Calabi-Yau manifold, but now calculated in a manifest N=2 formalism. We discuss how the semi-classical limit of this sheaf of N=2 vertex algebras is related to the classical supersymmetric non-linear sigma model. |
hep-th/9806093 | Barvinski | A.O.Barvinsky | Open inflation without anthropic principle | 15 pages, LaTeX, a misprint in the Euclidean action algorithm is
corrected | null | null | null | hep-th gr-qc | null | We propose the mechanism of quantum creation of the open Universe in the
observable range of values of $\Omega$. This mechanism is based on the
no-boundary quantum state with the Hawking-Turok instanton in the model with
nonminimally coupled inflaton field and does not use any anthropic
considerations. Rather, the probability distribution peak with necessary
parameters of the inflation stage is generated on this instanton due to quantum
loop effects. In contrast with a similar mechanism for closed models, existing
only for the tunneling quantum state of the Universe, open inflation originates
from the no-boundary cosmological wavefunction.
| [
{
"created": "Thu, 11 Jun 1998 21:21:00 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jun 1998 04:20:12 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Barvinsky",
"A. O.",
""
]
] | We propose the mechanism of quantum creation of the open Universe in the observable range of values of $\Omega$. This mechanism is based on the no-boundary quantum state with the Hawking-Turok instanton in the model with nonminimally coupled inflaton field and does not use any anthropic considerations. Rather, the probability distribution peak with necessary parameters of the inflation stage is generated on this instanton due to quantum loop effects. In contrast with a similar mechanism for closed models, existing only for the tunneling quantum state of the Universe, open inflation originates from the no-boundary cosmological wavefunction. |
1603.02076 | Daniel Coumbe | Jan Ambjorn, Daniel Coumbe, Jakub Gizbert-Studnicki, Jerzy Jurkiewicz | Searching for a continuum limit in causal dynamical triangulation
quantum gravity | 19 pages, 8 figures. Title change and journal reference added | Phys. Rev. D 93, 104032 (2016) | 10.1103/PhysRevD.93.104032 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We search for a continuum limit in the causal dynamical triangulation (CDT)
approach to quantum gravity by determining the change in lattice spacing using
two independent methods. The two methods yield similar results that may
indicate how to tune the relevant couplings in the theory in order to take a
continuum limit.
| [
{
"created": "Mon, 7 Mar 2016 14:14:07 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2016 12:08:44 GMT",
"version": "v2"
},
{
"created": "Mon, 23 May 2016 09:40:47 GMT",
"version": "v3"
}
] | 2016-05-25 | [
[
"Ambjorn",
"Jan",
""
],
[
"Coumbe",
"Daniel",
""
],
[
"Gizbert-Studnicki",
"Jakub",
""
],
[
"Jurkiewicz",
"Jerzy",
""
]
] | We search for a continuum limit in the causal dynamical triangulation (CDT) approach to quantum gravity by determining the change in lattice spacing using two independent methods. The two methods yield similar results that may indicate how to tune the relevant couplings in the theory in order to take a continuum limit. |
hep-th/9303130 | Alexander Migdal | Alexander A. Migdal | Loop Equation in Turbulence | 33 pages, 7 figures, LaTeX | null | null | PUPT-1383 | hep-th | null | The incompressible fluid dynamics is reformulated as dynamics of closed loops
$C$ in coordinate space. This formulation allows to derive explicit functional
equation for the generating functional $\Psi[C]$ in inertial range of spatial
scales, which allows the scaling solutions. The requirement of finite energy
dissipation rate leads then to the Kolmogorov index. We find an exact steady
solution of the loop equation in inertial range of the loop sizes. The
generating functional decreases as $\EXP{-A^{\tt}}$ where $A=\oint_C r \wedge
dr$ is the area inside the loop. The pdf for the velocity circulation $\Gamma$
is Lorentzian, with the width $\bar{\Gamma} \propto A^{\tt} $.
| [
{
"created": "Tue, 23 Mar 1993 21:39:44 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 1993 20:55:56 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Migdal",
"Alexander A.",
""
]
] | The incompressible fluid dynamics is reformulated as dynamics of closed loops $C$ in coordinate space. This formulation allows to derive explicit functional equation for the generating functional $\Psi[C]$ in inertial range of spatial scales, which allows the scaling solutions. The requirement of finite energy dissipation rate leads then to the Kolmogorov index. We find an exact steady solution of the loop equation in inertial range of the loop sizes. The generating functional decreases as $\EXP{-A^{\tt}}$ where $A=\oint_C r \wedge dr$ is the area inside the loop. The pdf for the velocity circulation $\Gamma$ is Lorentzian, with the width $\bar{\Gamma} \propto A^{\tt} $. |
1412.8506 | Sergey Gavrilov P | S.P. Gavrilov, D.M. Gitman, and A.A. Shishmarev | Statistical properties of states in QED with unstable vacuum | 20 pages, version accepted in Phys. Rev. A, misprints corrected | Phys. Rev. A 91, 052106 (2015) | 10.1103/PhysRevA.91.052106 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study statistical properties of states of massive quantized charged Dirac
and Klein-Gordon fields interacting with a background that violates the vacuum
stability, first in general terms and then for a special electromagnetic
background. As a starting point, we use a nonperturbative expression for the
density operators of such fields derived by Gavrilov et al [S.P. Gavrilov, D.M.
Gitman, and J.L. Tomazelli, Nucl. Phys. B 795, 645 (2008)]. We construct the
reduced density operators for electron and positron subsystems and discuss a
decoherence that may occur in the course of the evolution due to an
intermediate measurement. By calculating the entropy we study the loss of the
information in QED states due to partial reductions and a possible decoherence.
Next, we consider the so-called T-constant external electric field as an
external background. This exactly solvable example allows us to calculate
explicitly all statistical properties of various quantum states of the massive
charged fields under consideration.
| [
{
"created": "Mon, 29 Dec 2014 23:14:02 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2015 12:52:22 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shishmarev",
"A. A.",
""
]
] | We study statistical properties of states of massive quantized charged Dirac and Klein-Gordon fields interacting with a background that violates the vacuum stability, first in general terms and then for a special electromagnetic background. As a starting point, we use a nonperturbative expression for the density operators of such fields derived by Gavrilov et al [S.P. Gavrilov, D.M. Gitman, and J.L. Tomazelli, Nucl. Phys. B 795, 645 (2008)]. We construct the reduced density operators for electron and positron subsystems and discuss a decoherence that may occur in the course of the evolution due to an intermediate measurement. By calculating the entropy we study the loss of the information in QED states due to partial reductions and a possible decoherence. Next, we consider the so-called T-constant external electric field as an external background. This exactly solvable example allows us to calculate explicitly all statistical properties of various quantum states of the massive charged fields under consideration. |
hep-th/9809120 | Oleksandr Pavlyk | Paolo Budinich | On conformal reflections in compactified phase space | 13 pages, no figures, requires JHEP.cls | AIP Conf.Proc.453:186-198,1998 | 10.1063/1.57096 | null | hep-th | null | Some results from arguments of research dealt with R. Raczka are exposed and
extended. In particular new arguments are brought in favor of the conjecture,
formulated with him, that both space-time and momentum may be conformally
compactified, building up a compact phase space of automorphism for the
conformal group, where conformal reflections determine a convolution between
space-time and momentum space which may have consequences of interest for both
classical and quantum physics.
| [
{
"created": "Wed, 16 Sep 1998 16:58:19 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Budinich",
"Paolo",
""
]
] | Some results from arguments of research dealt with R. Raczka are exposed and extended. In particular new arguments are brought in favor of the conjecture, formulated with him, that both space-time and momentum may be conformally compactified, building up a compact phase space of automorphism for the conformal group, where conformal reflections determine a convolution between space-time and momentum space which may have consequences of interest for both classical and quantum physics. |
2404.12690 | Matteo Beccaria | Matteo Beccaria | Leading Giant graviton expansion of Schur correlators in large
representations | 26 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 4d $\mathcal N=4$ $U(N)$ SYM and the leading giant graviton
correction to the Schur defect 2-point functions of $\frac{1}{2}$-BPS Wilson
lines in rank-$k$ symmetric and antisymmetric representations. We study in
particular the large $k$ limit for the symmetric case and the regime $1\ll k
\ll N$ in the antisymmetric one. We present exact results for the correction in
agreement with matrix model evaluation at finite $N,k$. The Wilson lines in
symmetric/antisymmetric representations admit a description in terms of
D3$_{k}$ and D5$_{k}$ brane probes representing a collection of $k$ fundamental
strings. In this picture, giant graviton corrections come from fluctuations of
brane probes in presence of a wrapped D3 brane giant graviton. In particular,
for the antisymmetric case, our leading correction matches the half-index of
the 3d $\mathcal N=4$ Maxwell theory living on the 3d disk which is a part of
the giant graviton divided out by the D5$_{k}$ probe, as recently proposed in
arXiv:2404.08302. For the symmetric case at large $k$, we derive an explicit
exact residue formula for the leading correction.
| [
{
"created": "Fri, 19 Apr 2024 07:42:25 GMT",
"version": "v1"
}
] | 2024-04-22 | [
[
"Beccaria",
"Matteo",
""
]
] | We consider 4d $\mathcal N=4$ $U(N)$ SYM and the leading giant graviton correction to the Schur defect 2-point functions of $\frac{1}{2}$-BPS Wilson lines in rank-$k$ symmetric and antisymmetric representations. We study in particular the large $k$ limit for the symmetric case and the regime $1\ll k \ll N$ in the antisymmetric one. We present exact results for the correction in agreement with matrix model evaluation at finite $N,k$. The Wilson lines in symmetric/antisymmetric representations admit a description in terms of D3$_{k}$ and D5$_{k}$ brane probes representing a collection of $k$ fundamental strings. In this picture, giant graviton corrections come from fluctuations of brane probes in presence of a wrapped D3 brane giant graviton. In particular, for the antisymmetric case, our leading correction matches the half-index of the 3d $\mathcal N=4$ Maxwell theory living on the 3d disk which is a part of the giant graviton divided out by the D5$_{k}$ probe, as recently proposed in arXiv:2404.08302. For the symmetric case at large $k$, we derive an explicit exact residue formula for the leading correction. |
hep-th/9611169 | Paulo Miguel Sa | P. M. S\'a and J. P. S. Lemos | Stationary Black Holes in a Generalized Three-Dimensional Theory of
Gravity | 12 pages, Latex | Phys.Lett.B423:49-53,1998 | 10.1016/S0370-2693(98)00084-7 | null | hep-th gr-qc | null | We consider a generalized three-dimensional theory of gravity which is
specified by two fields, the graviton and the dilaton, and one parameter. This
theory contains, as particular cases, three-dimensional General Relativity and
three-dimensional String Theory. Stationary black hole solutions are generated
from the static ones using a simple coordinate transformation. The stationary
black holes solutions thus obtained are locally equivalent to the corresponding
static ones, but globally distinct. The mass and angular momentum of the
stationary black hole solutions are computed using an extension of the Regge
and Teitelboim formalism. The causal structure of the black holes is described.
| [
{
"created": "Thu, 21 Nov 1996 14:39:54 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Sá",
"P. M.",
""
],
[
"Lemos",
"J. P. S.",
""
]
] | We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and three-dimensional String Theory. Stationary black hole solutions are generated from the static ones using a simple coordinate transformation. The stationary black holes solutions thus obtained are locally equivalent to the corresponding static ones, but globally distinct. The mass and angular momentum of the stationary black hole solutions are computed using an extension of the Regge and Teitelboim formalism. The causal structure of the black holes is described. |
2306.14774 | Kang Zhou | Fang-Stars Wei, Kang Zhou | Expanding single trace YMS amplitudes with gauge invariant coefficients | 30 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | In this note, we use the new bottom up method based on soft theorems to
construct the expansion of single-trace Yang-Mills-scalar amplitudes
recursively. The resulted expansion manifests the gauge invariance for any
polarization carried by external gluons, as well as the permutation symmetry
among external gluons. Our result is equivalent to that found by Clifford
Cheung and James Mangan via the so called covariant color-kinematic duality
approach.
| [
{
"created": "Mon, 26 Jun 2023 15:28:34 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2023 13:53:58 GMT",
"version": "v2"
}
] | 2023-11-01 | [
[
"Wei",
"Fang-Stars",
""
],
[
"Zhou",
"Kang",
""
]
] | In this note, we use the new bottom up method based on soft theorems to construct the expansion of single-trace Yang-Mills-scalar amplitudes recursively. The resulted expansion manifests the gauge invariance for any polarization carried by external gluons, as well as the permutation symmetry among external gluons. Our result is equivalent to that found by Clifford Cheung and James Mangan via the so called covariant color-kinematic duality approach. |
1604.00810 | Yu Nakayama | Yu Nakayama | Hidden global conformal symmetry without Virasoro extension in theory of
elasticity | 7 pages, v2: reference updated | null | 10.1016/j.aop.2016.06.010 | RUP-16-10 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theory of elasticity (a.k.a. Riva-Cardy model) has been regarded as an
example of scale invariant but not conformal field theories. We argue that in
$d=2$ dimensions, the theory has hidden global conformal symmetry of
$SL(2,\mathbb{R}) \times SL(2,\mathbb{R})$ without its Virasoro extension. More
precisely, we can embed all the correlation functions of the displacement
vector into a global conformal field theory with four-derivative action in
terms of two scalar potential variables, which necessarily violates the
reflection positivity. The energy-momentum tensor for the potential variables
cannot be improved to become traceless so that it does not show the Virasoro
symmetry even with the existence of global special conformal current.
| [
{
"created": "Mon, 4 Apr 2016 11:01:50 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2016 02:00:36 GMT",
"version": "v2"
}
] | 2016-08-03 | [
[
"Nakayama",
"Yu",
""
]
] | The theory of elasticity (a.k.a. Riva-Cardy model) has been regarded as an example of scale invariant but not conformal field theories. We argue that in $d=2$ dimensions, the theory has hidden global conformal symmetry of $SL(2,\mathbb{R}) \times SL(2,\mathbb{R})$ without its Virasoro extension. More precisely, we can embed all the correlation functions of the displacement vector into a global conformal field theory with four-derivative action in terms of two scalar potential variables, which necessarily violates the reflection positivity. The energy-momentum tensor for the potential variables cannot be improved to become traceless so that it does not show the Virasoro symmetry even with the existence of global special conformal current. |
hep-th/9610127 | Fabrizio Nesti | F. Nesti (SISSA, Trieste, Italy) | Three dimensional large N monopole gas | 36 pages, 5 figures, changes in style, organization and small errors
corrected | null | null | SISSA/ISAS ref: 143/96/EP | hep-th | null | We study the large N limit in the presence of magnetic monopoles in the
Yang-Mills/Higgs model in three dimensions. The physics in the limit depends
strongly on the distribution of eigenvalues of the Higgs field in the vacuum,
and we propose a particular, nondegenerate configuration. It minimizes the free
energy at the moment of symmetry breaking. Given this, the magnetic monopoles
show a wide hierarchy of masses, and some are vanishing as 1/N. The dilute gas
picture, then, provides an interesting structure in the large N limit.
| [
{
"created": "Thu, 17 Oct 1996 07:10:01 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Mar 1997 19:56:59 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Nesti",
"F.",
"",
"SISSA, Trieste, Italy"
]
] | We study the large N limit in the presence of magnetic monopoles in the Yang-Mills/Higgs model in three dimensions. The physics in the limit depends strongly on the distribution of eigenvalues of the Higgs field in the vacuum, and we propose a particular, nondegenerate configuration. It minimizes the free energy at the moment of symmetry breaking. Given this, the magnetic monopoles show a wide hierarchy of masses, and some are vanishing as 1/N. The dilute gas picture, then, provides an interesting structure in the large N limit. |
hep-th/9609023 | Georg Junker | Georg Junker | Path-Integral Aspects of Supersymmetric Quantum Mechanics | Latex 209, amsfonts, 5 pages | null | null | null | hep-th | null | In this talk we briefly review the concept of supersymmetric quantum
mechanics using a model introduced by Witten. A quasi-classical path-integral
evaluation for this model is performed, leading to a so-called supersymmetric
quasi-classical quantization condition. Properties of this quantization
condition are compared with those derived from the standard WKB approach.
| [
{
"created": "Mon, 2 Sep 1996 09:46:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Junker",
"Georg",
""
]
] | In this talk we briefly review the concept of supersymmetric quantum mechanics using a model introduced by Witten. A quasi-classical path-integral evaluation for this model is performed, leading to a so-called supersymmetric quasi-classical quantization condition. Properties of this quantization condition are compared with those derived from the standard WKB approach. |
2309.16749 | Cameron Krulewski | Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu,
Natalia Pacheco-Tallaj and Ryan Thorngren | A Long Exact Sequence in Symmetry Breaking: order parameter constraints,
defect anomaly-matching, and higher Berry phases | 31 pages, 4 figures. The mathematical sections have been removed and
now appear in 2405.04649 | null | null | null | hep-th cond-mat.str-el math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study defects in symmetry breaking phases, such as domain walls, vortices,
and hedgehogs. In particular, we focus on the localized gapless excitations
which sometimes occur at the cores of these objects. These are topologically
protected by an 't Hooft anomaly. We classify different symmetry breaking
phases in terms of the anomalies of these defects, and relate them to the
anomaly of the broken symmetry by an anomaly-matching formula. We also derive
the obstruction to the existence of a symmetry breaking phase with a local
defect. We obtain these results using a long exact sequence of groups of
invertible field theories, which we call the "symmetry breaking long exact
sequence" (SBLES). The mathematical backbone of the SBLES is studied in a
companion paper. Our work further develops the theory of higher Berry phase and
its bulk-boundary correspondence, and serves as a new computational tool for
classifying symmetry protected topological phases.
| [
{
"created": "Thu, 28 Sep 2023 17:57:08 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2024 03:18:30 GMT",
"version": "v2"
},
{
"created": "Thu, 9 May 2024 01:39:53 GMT",
"version": "v3"
}
] | 2024-05-10 | [
[
"Debray",
"Arun",
""
],
[
"Devalapurkar",
"Sanath K.",
""
],
[
"Krulewski",
"Cameron",
""
],
[
"Liu",
"Yu Leon",
""
],
[
"Pacheco-Tallaj",
"Natalia",
""
],
[
"Thorngren",
"Ryan",
""
]
] | We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at the cores of these objects. These are topologically protected by an 't Hooft anomaly. We classify different symmetry breaking phases in terms of the anomalies of these defects, and relate them to the anomaly of the broken symmetry by an anomaly-matching formula. We also derive the obstruction to the existence of a symmetry breaking phase with a local defect. We obtain these results using a long exact sequence of groups of invertible field theories, which we call the "symmetry breaking long exact sequence" (SBLES). The mathematical backbone of the SBLES is studied in a companion paper. Our work further develops the theory of higher Berry phase and its bulk-boundary correspondence, and serves as a new computational tool for classifying symmetry protected topological phases. |
0806.0643 | E. Aldo Arroyo | E. Aldo Arroyo | Pure Spinor Partition Function Using Pade Approximants | 16 pages | JHEP 0807:081,2008 | 10.1088/1126-6708/2008/07/081 | IFT-P.010/2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, the partition function (character) of ten-dimensional pure
spinor worldsheet variables was calculated explicitly up to the fifth
mass-level. In this letter, we propose a novel application of Pade approximants
as a tool for computing the character of pure spinors. We get results up to the
twelfth mass-level. This work is a first step towards an explicit construction
of the complete pure spinor partition function.
| [
{
"created": "Wed, 4 Jun 2008 18:26:31 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2008 02:53:02 GMT",
"version": "v2"
}
] | 2014-10-27 | [
[
"Arroyo",
"E. Aldo",
""
]
] | In a recent paper, the partition function (character) of ten-dimensional pure spinor worldsheet variables was calculated explicitly up to the fifth mass-level. In this letter, we propose a novel application of Pade approximants as a tool for computing the character of pure spinors. We get results up to the twelfth mass-level. This work is a first step towards an explicit construction of the complete pure spinor partition function. |
0808.2155 | Jose A. de Azcarraga | J.A. de Azcarraga, J.M. Izquierdo and J. Lukierski | Supertwistors, massive superparticles and k-symmetry | Shorter version, to appear in JHEP, with emphasis on the D=6
quaternionic structure | JHEP 0901:041,2009 | 10.1088/1126-6708/2009/01/041 | FTUV-08 IFIC-08 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a D=4 two-twistor lagrangian for a massive particle that
incorporates the mass-shell condition in an algebraic way, and extend it to a
two-supertwistor model with N=2 supersymmetry and central charge identified
with the mass. In the purely supertwistorial picture the two D=4 supertwistors
are coupled through a Wess-Zumino term in their fermionic sector. We
demonstrate how the kappa-gauge symmetry appears in the purely supertwistorial
formulation and reduces by half the fermionic degrees of freedom of the two
supertwistors; a formulation of the model in terms of kappa-invariant degrees
of freedom is also obtained. We show that the kappa-invariant supertwistor
coordinates can be obtained by dimensional (D=6 -> D=4) reduction from a D=6
supertwistor. We derive as well by 6 -> 4 reduction the N=2, D=4 massive
superparticle model with Wess-Zumino term introduced in 1982. Finally, we
comment on general superparticle models constructed with more than two
supertwistors.
| [
{
"created": "Fri, 15 Aug 2008 15:00:17 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jan 2009 19:04:13 GMT",
"version": "v2"
}
] | 2009-01-27 | [
[
"de Azcarraga",
"J. A.",
""
],
[
"Izquierdo",
"J. M.",
""
],
[
"Lukierski",
"J.",
""
]
] | We consider a D=4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N=2 supersymmetry and central charge identified with the mass. In the purely supertwistorial picture the two D=4 supertwistors are coupled through a Wess-Zumino term in their fermionic sector. We demonstrate how the kappa-gauge symmetry appears in the purely supertwistorial formulation and reduces by half the fermionic degrees of freedom of the two supertwistors; a formulation of the model in terms of kappa-invariant degrees of freedom is also obtained. We show that the kappa-invariant supertwistor coordinates can be obtained by dimensional (D=6 -> D=4) reduction from a D=6 supertwistor. We derive as well by 6 -> 4 reduction the N=2, D=4 massive superparticle model with Wess-Zumino term introduced in 1982. Finally, we comment on general superparticle models constructed with more than two supertwistors. |
1503.07390 | Dr. Sudhaker Upadhyay | Sudhaker Upadhyay (IIT Kanpur) and Bhabani Prasad Mandal (BHU,
Varanasi) | Equivalence between two different field-dependent BRST formulations | 6 pages, To appear in Int. J. Theor. Phys | Int J Theor Phys 55, 1 (2016) | 10.1007/s10773-015-2628-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Finite field-dependent BRST (FFBRST) transformations were constructed by
integrating infinitesimal BRST transformation in a closed form. Such a
generalized transformations have been extended in various branch of physics and
found many applications. Recently BRST transformation has also been generalized
with same goal and motivation in slightly different manner. In this work we
have shown that the later formulation is conceptually equivalent to the earlier
formulation. We justify our claim by producing the same result of later
formulation using earlier FFBRST formulation.
| [
{
"created": "Mon, 23 Mar 2015 12:31:50 GMT",
"version": "v1"
}
] | 2016-01-05 | [
[
"Upadhyay",
"Sudhaker",
"",
"IIT Kanpur"
],
[
"Mandal",
"Bhabani Prasad",
"",
"BHU,\n Varanasi"
]
] | Finite field-dependent BRST (FFBRST) transformations were constructed by integrating infinitesimal BRST transformation in a closed form. Such a generalized transformations have been extended in various branch of physics and found many applications. Recently BRST transformation has also been generalized with same goal and motivation in slightly different manner. In this work we have shown that the later formulation is conceptually equivalent to the earlier formulation. We justify our claim by producing the same result of later formulation using earlier FFBRST formulation. |
hep-th/9601116 | Mikhail Plyushchay | Mikhail S. Plyushchay | Deformed Heisenberg algebra, fractional spin fields and supersymmetry
without fermions | 21 pages, LaTeX | Annals Phys. 245 (1996) 339-360 | 10.1006/aphy.1996.0012 | null | hep-th | null | Within a group-theoretical approach to the description of (2+1)-dimensional
anyons, the minimal covariant set of linear differential equations is
constructed for the fractional spin fields with the help of the deformed
Heisenberg algebra (DHA), $[a^{-},a^{+}]=1+\nu K$, involving the Klein operator
$K$, $\{K,a^{\pm}\}=0$, $K^{2}=1$. The connection of the minimal set of
equations with the earlier proposed `universal' vector set of anyon equations
is established. On the basis of this algebra, a bosonization of supersymmetric
quantum mechanics is carried out. The construction comprises the cases of exact
and spontaneously broken $N=2$ supersymmetry allowing us to realize a
Bose-Fermi transformation and spin-1/2 representation of SU(2) group in terms
of one bosonic oscillator. The construction admits an extension to the case of
OSp(2$\vert$2) supersymmetry, and, as a consequence, both applications of the
DHA turn out to be related. A possibility of `superimposing' the two
applications of the DHA for constructing a supersymmetric (2+1)-dimensional
anyon system is discussed. As a consequential result we point out that
$osp(2|2)$ superalgebra is realizable as an operator algebra for a quantum
mechanical 2-body (nonsupersymmetric) Calogero model.
| [
{
"created": "Tue, 23 Jan 1996 01:42:56 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Plyushchay",
"Mikhail S.",
""
]
] | Within a group-theoretical approach to the description of (2+1)-dimensional anyons, the minimal covariant set of linear differential equations is constructed for the fractional spin fields with the help of the deformed Heisenberg algebra (DHA), $[a^{-},a^{+}]=1+\nu K$, involving the Klein operator $K$, $\{K,a^{\pm}\}=0$, $K^{2}=1$. The connection of the minimal set of equations with the earlier proposed `universal' vector set of anyon equations is established. On the basis of this algebra, a bosonization of supersymmetric quantum mechanics is carried out. The construction comprises the cases of exact and spontaneously broken $N=2$ supersymmetry allowing us to realize a Bose-Fermi transformation and spin-1/2 representation of SU(2) group in terms of one bosonic oscillator. The construction admits an extension to the case of OSp(2$\vert$2) supersymmetry, and, as a consequence, both applications of the DHA turn out to be related. A possibility of `superimposing' the two applications of the DHA for constructing a supersymmetric (2+1)-dimensional anyon system is discussed. As a consequential result we point out that $osp(2|2)$ superalgebra is realizable as an operator algebra for a quantum mechanical 2-body (nonsupersymmetric) Calogero model. |
1611.07595 | Michael Gutperle | Michael Gutperle and Andrea Trivella | A note on entanglement entropy and regularization in holographic
interface theories | 38 pages | Phys. Rev. D 95, 066009 (2017) | 10.1103/PhysRevD.95.066009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the computation of holographic entanglement entropy for interface
conformal field theories. The fact that globally well defined Fefferman-Graham
coordinates are difficult to construct makes the regularization of the
holographic theory challenging. We introduce a simple new cut-off procedure,
which we call "double cut-off" regularization. We test the new cut-off
procedure by comparing the results for holographic entanglement entropies using
other cut-off procedures and find agreement. We also study three dimensional
conformal field theories with a two dimensional interface. In that case the
dual bulk geometry is constructed using warped geometry with an $AdS_3$ factor.
We define an effective central charge to the interface through the
Brown-Henneaux formula for the $AdS_3$ factor. We investigate two concrete
examples, showing that the same effective central charge appears in the
computation of entanglement entropy and governs the conformal anomaly.
| [
{
"created": "Wed, 23 Nov 2016 01:25:15 GMT",
"version": "v1"
}
] | 2017-03-22 | [
[
"Gutperle",
"Michael",
""
],
[
"Trivella",
"Andrea",
""
]
] | We discuss the computation of holographic entanglement entropy for interface conformal field theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic theory challenging. We introduce a simple new cut-off procedure, which we call "double cut-off" regularization. We test the new cut-off procedure by comparing the results for holographic entanglement entropies using other cut-off procedures and find agreement. We also study three dimensional conformal field theories with a two dimensional interface. In that case the dual bulk geometry is constructed using warped geometry with an $AdS_3$ factor. We define an effective central charge to the interface through the Brown-Henneaux formula for the $AdS_3$ factor. We investigate two concrete examples, showing that the same effective central charge appears in the computation of entanglement entropy and governs the conformal anomaly. |
hep-th/0307029 | Masafumi Fukuma | Masafumi Fukuma, Yuji Kono and Akitsugu Miwa | Effects of space-time noncommutativity on the angular power spectrum of
the CMB | 17 pages, 4 figures, references added, some arguments clarified, to
appear in Nuclear Physics B | Nucl.Phys. B682 (2004) 377-390 | 10.1016/j.nuclphysb.2004.01.020 | KUNS-1852 | hep-th astro-ph | null | We investigate an inflationary model of the universe based on the assumption
that space-time is noncommutative in the very early universe. We analyze the
effects of space-time noncommutativity on the quantum fluctuations of an
inflaton field and investigate their contributions to the cosmic microwave
background (CMB). We show that the angular power spectrum l(l+1)C_l generically
has a sharp damping for lower l if we assume that the last scattering surface
is traced back to fuzzy spheres at the times when large-scale modes cross the
Hubble horizon.
| [
{
"created": "Wed, 2 Jul 2003 19:20:07 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2003 18:27:38 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jul 2003 16:46:54 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Jan 2004 20:03:24 GMT",
"version": "v4"
}
] | 2010-04-05 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Kono",
"Yuji",
""
],
[
"Miwa",
"Akitsugu",
""
]
] | We investigate an inflationary model of the universe based on the assumption that space-time is noncommutative in the very early universe. We analyze the effects of space-time noncommutativity on the quantum fluctuations of an inflaton field and investigate their contributions to the cosmic microwave background (CMB). We show that the angular power spectrum l(l+1)C_l generically has a sharp damping for lower l if we assume that the last scattering surface is traced back to fuzzy spheres at the times when large-scale modes cross the Hubble horizon. |
1407.1476 | Rodrigo Bufalo | R. Bufalo, B.M. Pimentel and D.E. Soto | Causal approach for the electron-positron scattering in Generalized
Quantum Electrodynamics | 24 pages, V2 to match published version | Physical Review D 90, 085012 (2014) | 10.1103/PhysRevD.90.085012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the generalized electrodynamics contribution for the
electron-positron scattering process, $e^{-}e^{+}\rightarrow e^{-}e^{+}$, the
Bhabha scattering. Within the framework of the standard model, for energies
larger when compared to the electron mass, we calculate the cross section
expression for the scattering process. This quantity is usually calculated in
the framework of the Maxwell electrodynamics and, by phenomenological reasons,
corrected by a cut-off parameter. On the other hand, by considering the
generalized electrodynamics instead of Maxwell's, we can show that the effects
played by the Podolsky mass is actually a natural cut-off parameter for this
scattering process. Furthermore, by means of experimental data of Bhabha
scattering we will estimate its lower bound value. Nevertheless, in order to
have a mathematically well defined description of our study we shall present
our discussion in the framework of the Epstein-Glaser causal theory.
| [
{
"created": "Sun, 6 Jul 2014 10:02:04 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2014 16:08:25 GMT",
"version": "v2"
}
] | 2014-10-15 | [
[
"Bufalo",
"R.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Soto",
"D. E.",
""
]
] | In this paper we study the generalized electrodynamics contribution for the electron-positron scattering process, $e^{-}e^{+}\rightarrow e^{-}e^{+}$, the Bhabha scattering. Within the framework of the standard model, for energies larger when compared to the electron mass, we calculate the cross section expression for the scattering process. This quantity is usually calculated in the framework of the Maxwell electrodynamics and, by phenomenological reasons, corrected by a cut-off parameter. On the other hand, by considering the generalized electrodynamics instead of Maxwell's, we can show that the effects played by the Podolsky mass is actually a natural cut-off parameter for this scattering process. Furthermore, by means of experimental data of Bhabha scattering we will estimate its lower bound value. Nevertheless, in order to have a mathematically well defined description of our study we shall present our discussion in the framework of the Epstein-Glaser causal theory. |
1712.04459 | Mukund Rangamani | Michael Geracie, Felix M. Haehl, R. Loganayagam, Prithvi Narayan,
David M. Ramirez, Mukund Rangamani | Schwinger-Keldysh superspace in quantum mechanics | 30 pages | Phys. Rev. D 97, 105023 (2018) | 10.1103/PhysRevD.97.105023 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine, in a quantum mechanical setting, the Hilbert space representation
of the BRST symmetry associated with Schwinger-Keldysh path integrals. This
structure had been postulated to encode important constraints on influence
functionals in coarse-grained systems with dissipation, or in open quantum
systems. Operationally, this entails uplifting the standard Schwinger-Keldysh
two-copy formalism into superspace by appending BRST ghost degrees of freedom.
These statements were previously argued at the level of the correlation
functions. We provide herein a complementary perspective by working out the
Hilbert space structure explicitly. Our analysis clarifies two crucial issues
not evident in earlier works: firstly, certain background ghost insertions
necessary to reproduce the correct Schwinger-Keldysh correlators arise
naturally. Secondly, the Schwinger-Keldysh difference operators are
systematically dressed by the ghost bilinears, which turn out to be necessary
to give rise to a consistent operator algebra. We also elaborate on the
structure of the final state (which is BRST closed) and the future boundary
condition of the ghost fields.
| [
{
"created": "Tue, 12 Dec 2017 19:00:06 GMT",
"version": "v1"
}
] | 2018-06-06 | [
[
"Geracie",
"Michael",
""
],
[
"Haehl",
"Felix M.",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Narayan",
"Prithvi",
""
],
[
"Ramirez",
"David M.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We examine, in a quantum mechanical setting, the Hilbert space representation of the BRST symmetry associated with Schwinger-Keldysh path integrals. This structure had been postulated to encode important constraints on influence functionals in coarse-grained systems with dissipation, or in open quantum systems. Operationally, this entails uplifting the standard Schwinger-Keldysh two-copy formalism into superspace by appending BRST ghost degrees of freedom. These statements were previously argued at the level of the correlation functions. We provide herein a complementary perspective by working out the Hilbert space structure explicitly. Our analysis clarifies two crucial issues not evident in earlier works: firstly, certain background ghost insertions necessary to reproduce the correct Schwinger-Keldysh correlators arise naturally. Secondly, the Schwinger-Keldysh difference operators are systematically dressed by the ghost bilinears, which turn out to be necessary to give rise to a consistent operator algebra. We also elaborate on the structure of the final state (which is BRST closed) and the future boundary condition of the ghost fields. |
1607.02320 | Leonid Bork Dr | L.V. Bork, A.I. Onishchenko | Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in
N=4 SYM | 55 pages, 7 figures; v2: minor changes, typos corrected, references
added | null | 10.1007/JHEP04(2017)019 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider tree-level gauge invariant off-shell amplitudes
(Wilson line form factors) in $\mathcal{N}=4$ SYM. For the off-shell amplitudes
with one leg off-shell we present a conjecture for their Grassmannian integral
representation in spinor helicity, twistor and momentum twistor
parameterizations. The presented conjecture is successfully checked against
BCFW results for MHV$_n$, NMHV$_4$ and NMHV$_5$ off-shell amplitudes. We have
also verified that our Grassmannian integral representation correctly
reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown
that the (deformed) off-shell amplitude expressions could be also obtained
using quantum inverse scattering method for auxiliary $gl(4|4)$ super spin
chain.
| [
{
"created": "Fri, 8 Jul 2016 11:26:35 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2016 12:50:07 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Bork",
"L. V.",
""
],
[
"Onishchenko",
"A. I.",
""
]
] | In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV$_n$, NMHV$_4$ and NMHV$_5$ off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary $gl(4|4)$ super spin chain. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.