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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9506049 | null | Kenichi Horie (Mainz Univ.) | New Insight into the Relation between Torsion and Electromagnetism | Report number corrected, 6 pages, uses LaTeX | null | null | MZ/TH 95-16 | hep-th gr-qc | null | In several unified field theories the torsion trace is set equal to the
electromagnetic potential. Using fibre bundle techniques we show that this is
no leading principle but a formal consequence of another geometric relation
between space-time and electromagentism.
| [
{
"created": "Thu, 8 Jun 1995 10:23:23 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 1995 15:25:20 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Horie",
"Kenichi",
"",
"Mainz Univ."
]
] | In several unified field theories the torsion trace is set equal to the electromagnetic potential. Using fibre bundle techniques we show that this is no leading principle but a formal consequence of another geometric relation between space-time and electromagentism. |
hep-th/9504024 | Hagen Kleinert | H. Kleinert | Path Integral of Relativistic Coulomb System | Replaced LaTeX file with final version accepted by Phys. Rev. Lett,
http://www.physik.fu-berlin.de/kleinert.html | Phys.Lett. A212 (1996) 15 | 10.1016/0375-9601(96)00031-X | null | hep-th quant-ph | null | The path integral of the relativistic Coulomb system is solved, and the wave
functions are extracted from the resulting amplitude.
| [
{
"created": "Thu, 6 Apr 1995 05:26:38 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 1995 04:38:55 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Kleinert",
"H.",
""
]
] | The path integral of the relativistic Coulomb system is solved, and the wave functions are extracted from the resulting amplitude. |
1811.01010 | Daniel Elander | Daniel Elander, Maurizio Piai, John Roughley | Holographic glueballs from the circle reduction of Romans supergravity | 43 pages, 5 figures. Version accepted for publication in JHEP | null | 10.1007/JHEP02(2019)101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider a one-parameter class of known solutions of the circle
compactification of Romans six-dimensional half-maximal supergravity. The
gauge-theory duals of these solutions are confining four-dimensional field
theories. Their UV completions consist of the compactification on a circle of a
higher-dimensional field theory that is flowing between two fixed points in
five dimensions. We systematically study the bosonic fluctuations of the
supergravity theory, corresponding to the bosonic glueballs of the dual field
theory.
We perform numerically the calculation of the spectrum of excitations of all
the bosonic fields, several of which had been disregarded in earlier work on
the subject. We discuss the results as a function of the one parameter
characterising the class of background solutions, hence further extending known
results. We show how certain towers of states are independent of the
background, and compare these states to existing lattice literature on
four-dimensional Yang-Mills (pure) gauge theories, confirming the existence of
close similarities.
For the aforementioned analysis, we construct gauge-invariant combinations of
the fields appearing in the reduction to five dimensions of the supergravity
theory, and hence focus on the 32 physical bosonic degrees of freedom. We show
explicitly how to implement gauge-fixing of the supergravity theory. The
results of such technical work could be used to analyse the spectra of other
theories proposed in the context of top-down holography. For example, it could
be applied to holographic realisations of composite-Higgs and light-dilaton
scenarios.
| [
{
"created": "Fri, 2 Nov 2018 17:51:58 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2018 14:04:19 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jan 2019 12:38:08 GMT",
"version": "v3"
}
] | 2019-03-27 | [
[
"Elander",
"Daniel",
""
],
[
"Piai",
"Maurizio",
""
],
[
"Roughley",
"John",
""
]
] | We reconsider a one-parameter class of known solutions of the circle compactification of Romans six-dimensional half-maximal supergravity. The gauge-theory duals of these solutions are confining four-dimensional field theories. Their UV completions consist of the compactification on a circle of a higher-dimensional field theory that is flowing between two fixed points in five dimensions. We systematically study the bosonic fluctuations of the supergravity theory, corresponding to the bosonic glueballs of the dual field theory. We perform numerically the calculation of the spectrum of excitations of all the bosonic fields, several of which had been disregarded in earlier work on the subject. We discuss the results as a function of the one parameter characterising the class of background solutions, hence further extending known results. We show how certain towers of states are independent of the background, and compare these states to existing lattice literature on four-dimensional Yang-Mills (pure) gauge theories, confirming the existence of close similarities. For the aforementioned analysis, we construct gauge-invariant combinations of the fields appearing in the reduction to five dimensions of the supergravity theory, and hence focus on the 32 physical bosonic degrees of freedom. We show explicitly how to implement gauge-fixing of the supergravity theory. The results of such technical work could be used to analyse the spectra of other theories proposed in the context of top-down holography. For example, it could be applied to holographic realisations of composite-Higgs and light-dilaton scenarios. |
2206.10649 | Max Brinkmann | Max Brinkmann, Michele Cicoli, Giuseppe Dibitetto, and Francisco G.
Pedro | Stringy multifield quintessence and the Swampland | 23 pages, 5 figures | null | 10.1007/JHEP11(2022)044 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider quintessence models within 4D effective descriptions of gravity
coupled to two scalar fields. These theories are known to give rise to viable
models of late-time cosmic acceleration without any need for flat potentials,
and so they are potentially in agreement with the dS Swampland conjecture. In
this paper we investigate the possibility of consistently embedding such
constructions in string theory. We identify situations where the quintessence
fields are either closed string universal moduli or non-universal moduli such
as blow-up modes. We generically show that no trajectories compatible with
today's cosmological parameters exist, if one starts from matter-dominated
initial conditions. It is worth remarking that universal trajectories
compatible with observations do appear, provided that the starting point at
early times is a phase of kinetic domination. However, justifying this choice
of initial conditions on solid grounds is far from easy. We conclude by
studying Q-ball formation in this class of models and discuss constraints
coming from Q-ball safety in all cases analyzed here.
| [
{
"created": "Tue, 21 Jun 2022 18:00:27 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Brinkmann",
"Max",
""
],
[
"Cicoli",
"Michele",
""
],
[
"Dibitetto",
"Giuseppe",
""
],
[
"Pedro",
"Francisco G.",
""
]
] | We consider quintessence models within 4D effective descriptions of gravity coupled to two scalar fields. These theories are known to give rise to viable models of late-time cosmic acceleration without any need for flat potentials, and so they are potentially in agreement with the dS Swampland conjecture. In this paper we investigate the possibility of consistently embedding such constructions in string theory. We identify situations where the quintessence fields are either closed string universal moduli or non-universal moduli such as blow-up modes. We generically show that no trajectories compatible with today's cosmological parameters exist, if one starts from matter-dominated initial conditions. It is worth remarking that universal trajectories compatible with observations do appear, provided that the starting point at early times is a phase of kinetic domination. However, justifying this choice of initial conditions on solid grounds is far from easy. We conclude by studying Q-ball formation in this class of models and discuss constraints coming from Q-ball safety in all cases analyzed here. |
1212.4719 | Mikhail Kalmykov | Vladimir V. Bytev (Dubna, JINR), Mikhail Yu. Kalmykov (Hamburg U.,
Inst. Theor. Phys. II and Dubna, JINR), Bernd A.Kniehl (Hamburg U., Inst.
Theor. Phys. II) | When epsilon-expansion of hypergeometric functions is expressible in
terms of multiple polylogarithms: the two-variables examples | 9 pages, talk given at the conference "Loops and Legs in Quantum
Field Theory", Wernigerode, Germany, 15-20 April 2012 | PoS LL2012 (2012) 029 | null | null | hep-th math-ph math.CA math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk, we discuss the algorithm for the construction of analytical
coefficients of higher order epsilon expansion of some Horn type hypergeometric
functions of two variables around rational values of parameters.
| [
{
"created": "Wed, 19 Dec 2012 16:10:06 GMT",
"version": "v1"
}
] | 2013-01-14 | [
[
"Bytev",
"Vladimir V.",
"",
"Dubna, JINR"
],
[
"Kalmykov",
"Mikhail Yu.",
"",
"Hamburg U.,\n Inst. Theor. Phys. II and Dubna, JINR"
],
[
"Kniehl",
"Bernd A.",
"",
"Hamburg U., Inst.\n Theor. Phys. II"
]
] | In this talk, we discuss the algorithm for the construction of analytical coefficients of higher order epsilon expansion of some Horn type hypergeometric functions of two variables around rational values of parameters. |
hep-th/0404076 | Korkut Bardakci | Korkut Bardakci | Meanfield Approximation For Field Theories On The Worldsheet Revisited | 38 pages, 8 figures, latex | Nucl.Phys.B698:202-232,2004 | 10.1016/j.nuclphysb.2004.08.010 | LBNL-54837, UCB-PTH-04/10 | hep-th | null | This work is the continuation of the earlier efforts to apply the mean field
approximation to the world sheet formulation of planar phi^3 theory. The
previous attempts were either simple but without solid foundation or well
founded but excessively complicated. In this article, we present an approach
both simple, and also systematic and well founded. We are able to carry through
the leading order mean field calculation analytically, and with a suitable
tuning of the coupling constant, we find string formation.
| [
{
"created": "Fri, 9 Apr 2004 20:10:05 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bardakci",
"Korkut",
""
]
] | This work is the continuation of the earlier efforts to apply the mean field approximation to the world sheet formulation of planar phi^3 theory. The previous attempts were either simple but without solid foundation or well founded but excessively complicated. In this article, we present an approach both simple, and also systematic and well founded. We are able to carry through the leading order mean field calculation analytically, and with a suitable tuning of the coupling constant, we find string formation. |
hep-th/0605010 | Sushil Srivastava | S.K.Srivastava | Gravitational Origin of Phantom Dark Energy and Late Cosmic Acceleration | 16 pages | Int.J.Mod.Phys.A22:1123-1134,2007 | 10.1142/S0217751X07035094 | null | hep-th astro-ph gr-qc | null | In this letter, dark energy is obtained using dual roles of the Ricci scalar
(as a physical field as well as geometry). Dark energy density, obtained here,
mimics phantom and the derived Friedmann equation contains a term $\rho^2_{\rm
de}/2 \lambda$ with $\rho_{\rm de}$ being the dark energy density and $\lambda$
being the cosmic tension. It is like brane-gravity inspired Friedmann equation,
which arises without using the brane-gravity theory. It is found that
acceleration is transient for $\lambda < 0$, but for $\lambda > 0$, expansion
is found to encounter big-rip problem. It is shown that this problem can be
avoided if dark energy behaves as barotropic fluid and generalized Chaplygin
gas simultaneously. Moreover, time for transition (from deceleration to
acceleration of the universe) is derived as a function of equation of state
parameter ${\rm w}_{\rm de} = p_[rm de}/\rho_{\rm de}$ with $p_{\rm de}$ being
the pressure for dark energy fluid..
| [
{
"created": "Mon, 1 May 2006 06:38:48 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2006 10:39:09 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Mar 2007 07:20:50 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Srivastava",
"S. K.",
""
]
] | In this letter, dark energy is obtained using dual roles of the Ricci scalar (as a physical field as well as geometry). Dark energy density, obtained here, mimics phantom and the derived Friedmann equation contains a term $\rho^2_{\rm de}/2 \lambda$ with $\rho_{\rm de}$ being the dark energy density and $\lambda$ being the cosmic tension. It is like brane-gravity inspired Friedmann equation, which arises without using the brane-gravity theory. It is found that acceleration is transient for $\lambda < 0$, but for $\lambda > 0$, expansion is found to encounter big-rip problem. It is shown that this problem can be avoided if dark energy behaves as barotropic fluid and generalized Chaplygin gas simultaneously. Moreover, time for transition (from deceleration to acceleration of the universe) is derived as a function of equation of state parameter ${\rm w}_{\rm de} = p_[rm de}/\rho_{\rm de}$ with $p_{\rm de}$ being the pressure for dark energy fluid.. |
hep-th/0204094 | D. M. Ghilencea | D.M. Ghilencea, S. Groot Nibbelink | String Threshold corrections from Field Theory | 24 pages, LaTeX. Reference and one paragraph (p.11) added | Nucl.Phys.B641:35-60,2002 | 10.1016/S0550-3213(02)00625-9 | null | hep-th hep-ph | null | A field theory approach to summing threshold effects to the gauge couplings
in a two-torus compactification is presented and the link with the (heterotic)
string calculation is carefully investigated. We analyse whether the complete
UV behaviour of the theory may be described on pure field theory grounds, as
due to momentum modes only, and address the role of the winding modes, not
included by the field theory approach. ``Non-decoupling'' effects in the low
energy limit, due to a small dimension are discussed. The role of modular
invariance in ensuring a finite (heterotic) string result is addressed.
| [
{
"created": "Thu, 11 Apr 2002 10:03:55 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2002 16:34:18 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ghilencea",
"D. M.",
""
],
[
"Nibbelink",
"S. Groot",
""
]
] | A field theory approach to summing threshold effects to the gauge couplings in a two-torus compactification is presented and the link with the (heterotic) string calculation is carefully investigated. We analyse whether the complete UV behaviour of the theory may be described on pure field theory grounds, as due to momentum modes only, and address the role of the winding modes, not included by the field theory approach. ``Non-decoupling'' effects in the low energy limit, due to a small dimension are discussed. The role of modular invariance in ensuring a finite (heterotic) string result is addressed. |
hep-th/9304033 | Rashmi Ray | Rashmi Ray & B. Sakita | The Electromagnetic Interactions of Electrons in the Lowest Landau Level | 17 pages, Plain tex, CCNY-HEP-93/1 | Annals Phys. 230 (1994) 131-144 | 10.1006/aphy.1994.1020 | null | hep-th cond-mat | null | Starting from a system of planar electrons in a strong magnetic field normal
to the plane, interacting with perturbing electromagnetic fields, an effective
Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been
derived. By choosing a suitable background electrostatic potential, an
incompressible droplet of these electrons is constructed. The gauge invariant
effective Lagrangian for the electrons in the L.L.L. is shown to split
naturally into a $1+1$ dimensional Lagrangian for the electrons on the surface
of the droplet and into a $2+1$ dimensional gauge-field Lagrangian representing
the contribution of the interior of the droplet. Upon bosonization, the former
represents the surface vibrations of the droplet. Individually neither of these
two actions is gauge invariant, but it is shown that the gauge dependence from
the two pieces cancels out. This demonstrates that the edge degrees of freedom
are essential for maintaining gauge invariance.
| [
{
"created": "Thu, 8 Apr 1993 18:43:44 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ray",
"Rashmi",
""
],
[
"Sakita",
"B.",
""
]
] | Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible droplet of these electrons is constructed. The gauge invariant effective Lagrangian for the electrons in the L.L.L. is shown to split naturally into a $1+1$ dimensional Lagrangian for the electrons on the surface of the droplet and into a $2+1$ dimensional gauge-field Lagrangian representing the contribution of the interior of the droplet. Upon bosonization, the former represents the surface vibrations of the droplet. Individually neither of these two actions is gauge invariant, but it is shown that the gauge dependence from the two pieces cancels out. This demonstrates that the edge degrees of freedom are essential for maintaining gauge invariance. |
hep-th/9408016 | null | J.I. Latorre, P. Pascual and R. Tarrach | Speed of Light in Non--Trivial Vacua | 24 p., plain tex | Nucl.Phys. B437 (1995) 60-82 | 10.1016/0550-3213(94)00490-6 | null | hep-th | null | We unify all existing results on the change of the speed of low--energy
photons due to modifications of the vacuum, finding that it is given by a
universal constant times the quotient of the difference of energy densities
between the usual and modified vacua over the mass of the electron to the
fourth power. Whether photons move faster or slower than $c$ depends only on
the lower or higher energy density of the modified vacuum, respectively.
Physically, a higher energy density is characterized by the presence of
additional particles (real or virtual) in the vacuum whereas a lower one stems
from the absence of some virtual modes. We then carry out a systematic study of
the speed of propagation of massless particles for several field theories up to
two loops on a thermal vacuum. Only low--energy massless particles
corresponding to a massive theory show genuine modifications of their speed
while remaining massless. All other modifications are mass-related, or running
mass-related. We also develop a formalism for the Casimir vacuum which
parallels the thermal one and check that photons travel faster than $c$ between
plates.
| [
{
"created": "Wed, 3 Aug 1994 12:57:37 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Latorre",
"J. I.",
""
],
[
"Pascual",
"P.",
""
],
[
"Tarrach",
"R.",
""
]
] | We unify all existing results on the change of the speed of low--energy photons due to modifications of the vacuum, finding that it is given by a universal constant times the quotient of the difference of energy densities between the usual and modified vacua over the mass of the electron to the fourth power. Whether photons move faster or slower than $c$ depends only on the lower or higher energy density of the modified vacuum, respectively. Physically, a higher energy density is characterized by the presence of additional particles (real or virtual) in the vacuum whereas a lower one stems from the absence of some virtual modes. We then carry out a systematic study of the speed of propagation of massless particles for several field theories up to two loops on a thermal vacuum. Only low--energy massless particles corresponding to a massive theory show genuine modifications of their speed while remaining massless. All other modifications are mass-related, or running mass-related. We also develop a formalism for the Casimir vacuum which parallels the thermal one and check that photons travel faster than $c$ between plates. |
hep-th/0106148 | Amanda W. Peet | Amanda W. Peet | More on Singularity Resolution | 10 pages AMS LaTeX | null | null | null | hep-th | null | String theoretic resolution of classical spacetime singularities is
discussed. Particular emphasis is on the use of brane probes, and the
connection [1] of the enhancon phenomenon [2] to the n=2* Pilch-Warner flow
spacetime [3]. Some comments and details on the singularity of the PW spacetime
are added. For the proceedings of Strings 2001, Mumbai, India.
| [
{
"created": "Sun, 17 Jun 2001 09:12:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Peet",
"Amanda W.",
""
]
] | String theoretic resolution of classical spacetime singularities is discussed. Particular emphasis is on the use of brane probes, and the connection [1] of the enhancon phenomenon [2] to the n=2* Pilch-Warner flow spacetime [3]. Some comments and details on the singularity of the PW spacetime are added. For the proceedings of Strings 2001, Mumbai, India. |
2201.04316 | Yu Nakayama | Yu Nakayama | Bootstrapping microcanonical ensemble in classical system | 5 pages; v2: some improvement in figures with new results | null | 10.1142/S0217732322500547 | RUP-22-1 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that the bootstrap program in quantum mechanics proposed by Han
et al reduces to a bootstrap study of a microcanonical ensemble of the same
Hamiltonian in the $\hbar \to 0$ limit. In the limit, the quantum mechanical
archipelago becomes an extremely thin line for an anharmonic oscillator. For a
double-well potential, a peninsula in $E\le 0$ appears.
| [
{
"created": "Wed, 12 Jan 2022 05:52:29 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2022 04:39:26 GMT",
"version": "v2"
}
] | 2022-05-25 | [
[
"Nakayama",
"Yu",
""
]
] | We point out that the bootstrap program in quantum mechanics proposed by Han et al reduces to a bootstrap study of a microcanonical ensemble of the same Hamiltonian in the $\hbar \to 0$ limit. In the limit, the quantum mechanical archipelago becomes an extremely thin line for an anharmonic oscillator. For a double-well potential, a peninsula in $E\le 0$ appears. |
2407.07811 | Dimitrios Katsinis | Konstantinos Boutivas, Dimitrios Katsinis, Georgios Pastras, Nikolaos
Tetradis | A Numerical Calculation of Entanglement Entropy in de Sitter Space | 13 pages + 11 pages appendix, 12 figures, 3 tables | null | null | null | hep-th gr-qc hep-lat quant-ph | http://creativecommons.org/licenses/by/4.0/ | The entanglement entropy of a massless scalar field in de Sitter space
depends on multiple scales, such as the radius of the entangling surface, the
Hubble constant and the UV cutoff. We perform a high-precision numerical
calculation using a lattice model in order to determine the dependence on these
scales in the Bunch-Davies vacuum. We derive the leading de Sitter corrections
to the flat-space entanglement entropy for subhorizon entangling radii. We
analyze the structure of the finite-size effects and we show that the
contribution to the entanglement entropy of the sector of the theory with
vanishing angular momentum depends logarithmically on the size of the overall
system, which extends beyond the horizon.
| [
{
"created": "Wed, 10 Jul 2024 16:30:38 GMT",
"version": "v1"
}
] | 2024-07-11 | [
[
"Boutivas",
"Konstantinos",
""
],
[
"Katsinis",
"Dimitrios",
""
],
[
"Pastras",
"Georgios",
""
],
[
"Tetradis",
"Nikolaos",
""
]
] | The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using a lattice model in order to determine the dependence on these scales in the Bunch-Davies vacuum. We derive the leading de Sitter corrections to the flat-space entanglement entropy for subhorizon entangling radii. We analyze the structure of the finite-size effects and we show that the contribution to the entanglement entropy of the sector of the theory with vanishing angular momentum depends logarithmically on the size of the overall system, which extends beyond the horizon. |
2208.05495 | Sahand Seifnashri | Ying-Hsuan Lin, Masaki Okada, Sahand Seifnashri, Yuji Tachikawa | Asymptotic density of states in 2d CFTs with non-invertible symmetries | 42 pages; v2: minor revision; v3: published version | null | 10.1007/JHEP03(2023)094 | YITP-SB-2022-29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the asymptotic density of states of a 2d CFT in an
irreducible representation $\rho$ of a finite symmetry group $G$ is
proportional to $(\dim\rho)^2$. We show how this statement can be generalized
when the symmetry can be non-invertible and is described by a fusion category
$\mathcal{C}$. Along the way, we explain what plays the role of a
representation of a group in the case of a fusion category symmetry; the answer
to this question is already available in the broader mathematical physics
literature but not yet widely known in hep-th. This understanding immediately
implies a selection rule on the correlation functions, and also allows us to
derive the asymptotic density.
| [
{
"created": "Wed, 10 Aug 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2022 15:05:16 GMT",
"version": "v2"
},
{
"created": "Mon, 1 May 2023 14:15:13 GMT",
"version": "v3"
}
] | 2023-05-02 | [
[
"Lin",
"Ying-Hsuan",
""
],
[
"Okada",
"Masaki",
""
],
[
"Seifnashri",
"Sahand",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | It is known that the asymptotic density of states of a 2d CFT in an irreducible representation $\rho$ of a finite symmetry group $G$ is proportional to $(\dim\rho)^2$. We show how this statement can be generalized when the symmetry can be non-invertible and is described by a fusion category $\mathcal{C}$. Along the way, we explain what plays the role of a representation of a group in the case of a fusion category symmetry; the answer to this question is already available in the broader mathematical physics literature but not yet widely known in hep-th. This understanding immediately implies a selection rule on the correlation functions, and also allows us to derive the asymptotic density. |
2304.07118 | Sergii Kutnii | Sergii Kutnii | Bosonization, effective action, and R-operation in a generalized
Nambu-Jona-Lasinio model | null | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Bosonization in a theory with four-fermion interaction of Nambu-Jona-Lasinio
type with additional U(N) symmetry is studied. It is demonstrated that
bosonization is not uniquely determined by the interaction terms due to Fierz
identities. Effective action including both fermions and composite fields is
constructed. R-operation renormalization scheme is developed for the effective
action. A generalization of bosonization transformation called composite fields
formalism is proposed and demonstrated to be applicable to any field theory.
Nambu-Jona-Lasinio model with three-fermion composite fields is studied as an
example. Fierz identities for sixth-order combinations of fermions are derived.
| [
{
"created": "Fri, 14 Apr 2023 13:19:00 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Sep 2023 13:52:11 GMT",
"version": "v2"
}
] | 2023-09-26 | [
[
"Kutnii",
"Sergii",
""
]
] | Bosonization in a theory with four-fermion interaction of Nambu-Jona-Lasinio type with additional U(N) symmetry is studied. It is demonstrated that bosonization is not uniquely determined by the interaction terms due to Fierz identities. Effective action including both fermions and composite fields is constructed. R-operation renormalization scheme is developed for the effective action. A generalization of bosonization transformation called composite fields formalism is proposed and demonstrated to be applicable to any field theory. Nambu-Jona-Lasinio model with three-fermion composite fields is studied as an example. Fierz identities for sixth-order combinations of fermions are derived. |
0804.3570 | Alexey Koshelev | I. Ya. Aref'eva, A. S. Koshelev | Cosmological Signature of Tachyon Condensation | 19 pages, JHEP3 class; v2: presentation in Section 3 improved | JHEP 0809:068,2008 | 10.1088/1126-6708/2008/09/068 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dynamics of the open string tachyon condensation in a
framework of the cubic fermionic String Field Theory including a non-minimal
coupling with closed string massless modes, the graviton and the dilaton.
Coupling of the open string tachyon and the dilaton is motivated by the open
String Field Theory in a linear dilaton background and the flat space-time. We
note that the dilaton gravity provides several restrictions on the tachyon
condensation and show explicitly that the influence of the dilaton on the
tachyon condensation is essential and provides a significant effect:
oscillations of the Hubble parameter and the state parameter become of a
cosmological scale. We give an estimation for the period of these oscillations
(0.1-1) Gyr and note a good agreement of this period with the observed
oscillations with a period (0.15-0.65) Gyr in a distribution of quasar spectra.
| [
{
"created": "Tue, 22 Apr 2008 17:24:36 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 15:17:03 GMT",
"version": "v2"
}
] | 2009-01-06 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Koshelev",
"A. S.",
""
]
] | We consider the dynamics of the open string tachyon condensation in a framework of the cubic fermionic String Field Theory including a non-minimal coupling with closed string massless modes, the graviton and the dilaton. Coupling of the open string tachyon and the dilaton is motivated by the open String Field Theory in a linear dilaton background and the flat space-time. We note that the dilaton gravity provides several restrictions on the tachyon condensation and show explicitly that the influence of the dilaton on the tachyon condensation is essential and provides a significant effect: oscillations of the Hubble parameter and the state parameter become of a cosmological scale. We give an estimation for the period of these oscillations (0.1-1) Gyr and note a good agreement of this period with the observed oscillations with a period (0.15-0.65) Gyr in a distribution of quasar spectra. |
1112.5546 | Rizos John | J. Rizos (Univ. of Ioannina) and N. Tetradis (Univ. of Athens) | Dynamical classicalization | 16 pages, 6 figures, published version | null | 10.1007/JHEP04(2012)110 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We integrate numerically the nonlinear equation of motion for a collapsing
spherical wavepacket in the context of theories that are expected to display
behavior characteristic of classicalization. The classicalization radius sets
the scale for the onset of significant deformations of the collapsing
configuration, which result in the formation of shock fronts. A characteristic
observable feature of the classicalization process is the creation of an
outgoing field configuration that extends far beyond the classicalization
radius. This feature develops before the deformed wavepacket reaches distances
of the order of the fundamental scale. We find that in some models the
scattering problem may not have real solutions over the whole space at late
times. We determine the origin of this behavior and discuss the consistency of
the underlying models.
| [
{
"created": "Fri, 23 Dec 2011 10:06:48 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Apr 2012 17:03:43 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Rizos",
"J.",
"",
"Univ. of Ioannina"
],
[
"Tetradis",
"N.",
"",
"Univ. of Athens"
]
] | We integrate numerically the nonlinear equation of motion for a collapsing spherical wavepacket in the context of theories that are expected to display behavior characteristic of classicalization. The classicalization radius sets the scale for the onset of significant deformations of the collapsing configuration, which result in the formation of shock fronts. A characteristic observable feature of the classicalization process is the creation of an outgoing field configuration that extends far beyond the classicalization radius. This feature develops before the deformed wavepacket reaches distances of the order of the fundamental scale. We find that in some models the scattering problem may not have real solutions over the whole space at late times. We determine the origin of this behavior and discuss the consistency of the underlying models. |
hep-th/0002213 | Chanju Kim | Changrim Ahn, P. Baseilhac, V. A. Fateev, Chanju Kim, Chaiho Rim | Reflection Amplitudes in Non-Simply Laced Toda Theories and
Thermodynamic Bethe Ansatz | 14pages, 1figure, LaTeX2e | Phys.Lett. B481 (2000) 114-124 | 10.1016/S0370-2693(00)00417-2 | APCTP-2000-003, KIAS-P00011, LPM 00-04 | hep-th | null | We study the ultraviolet asymptotics in non-simply laced affine Toda theories
considering them as perturbed non-affine Toda theories, which possess the
extended conformal symmetry. We calculate the reflection amplitudes, in
non-affine Toda theories and use them to derive the quantization condition for
the vacuum wave function, describing zero-mode dynamics. The solution of this
quantization conditions for the ground state energy determines the UV
asymptotics of the effective central charge. These asymptotics are in a good
agreement with Thermodynamic Bethe Ansatz(TBA) results. To make the comparison
with TBA possible, we give the exact relations between parameters of the action
and masses of particles as well as the bulk free energies for non-simply laced
affine Toda theories.
| [
{
"created": "Fri, 25 Feb 2000 07:44:34 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ahn",
"Changrim",
""
],
[
"Baseilhac",
"P.",
""
],
[
"Fateev",
"V. A.",
""
],
[
"Kim",
"Chanju",
""
],
[
"Rim",
"Chaiho",
""
]
] | We study the ultraviolet asymptotics in non-simply laced affine Toda theories considering them as perturbed non-affine Toda theories, which possess the extended conformal symmetry. We calculate the reflection amplitudes, in non-affine Toda theories and use them to derive the quantization condition for the vacuum wave function, describing zero-mode dynamics. The solution of this quantization conditions for the ground state energy determines the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with Thermodynamic Bethe Ansatz(TBA) results. To make the comparison with TBA possible, we give the exact relations between parameters of the action and masses of particles as well as the bulk free energies for non-simply laced affine Toda theories. |
hep-th/0305042 | de Mello Koch | Robert de Mello Koch, Aristomenis Donos, Antal Jevicki and Joao P.
Rodrigues | Derivation of String Field Theory from the Large N BMN Limit | 24 pages; v2: references added | Phys.Rev. D68 (2003) 065012 | 10.1103/PhysRevD.68.065012 | null | hep-th | null | We continue the development of a systematic procedure for deriving closed
string pp wave string field theory from the large N
Berenstein-Maldacena-Nastase limit. In the present paper the effects of the
Yang-Mills interaction are considered in detail for general BMN states. The SFT
interaction with the appropriate operator insertion at the interaction point is
demonstrated.
| [
{
"created": "Tue, 6 May 2003 16:22:22 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2003 09:48:10 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Donos",
"Aristomenis",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Rodrigues",
"Joao P.",
""
]
] | We continue the development of a systematic procedure for deriving closed string pp wave string field theory from the large N Berenstein-Maldacena-Nastase limit. In the present paper the effects of the Yang-Mills interaction are considered in detail for general BMN states. The SFT interaction with the appropriate operator insertion at the interaction point is demonstrated. |
hep-th/0602221 | Pietro Menotti | Pietro Menotti, Erik Tonni | Liouville field theory with heavy charges. II. The conformal boundary
case | LaTeX 26 pages | JHEP0606:022,2006 | 10.1088/1126-6708/2006/06/022 | IFUP-TH/2006-7 | hep-th | null | We develop a general technique for computing functional integrals with fixed
area and boundary length constraints. The correct quantum dimensions for the
vertex functions are recovered by properly regularizing the Green function.
Explicit computation is given for the one point function providing the first
one loop check of the bootstrap formula.
| [
{
"created": "Wed, 22 Feb 2006 09:51:45 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Menotti",
"Pietro",
""
],
[
"Tonni",
"Erik",
""
]
] | We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit computation is given for the one point function providing the first one loop check of the bootstrap formula. |
0903.0628 | Benjamin Burrington | Benjamin A. Burrington and Jacob Sonnenschein | Holographic Dual of QCD from Black D5 Branes | 37 pages, 9 figures | JHEP 0908:057,2009 | 10.1088/1126-6708/2009/08/057 | TAUP-2892/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics of probe D7 $\overline{\rm D7}$ flavor probe branes in
the background of near extremal D5 branes. This model is a holographic dual to
a gauge theory with spontaneous breaking of a $U(N_f)_L\times U(N_f)_R$ chiral
symmetry. The spectrum of two such D7 $\overline{\rm D7}$ embeddings, contains
a single massive 4D meson coming from the world volume U(1) gauge field, the
pion, and a single massive 4D scalar meson coming from fluctuations of the
embedding of the brane. In addition, there are continuum five dimensional
states due to the finite height of the effective potential in the radial
direction. We investigate baryons in this model, and find that the size is
stabilized due to the Chern-Simons term in the D7 world volume action. The
model admits a Hagedorn temperature of $\frac{1}{2\pi R}$ where $R$ is the
radius parameter in the D5 branes metric. We investigate the pattern of chiral
symmetry breaking in the deconfined phase as a function of the asymptotic
separation of the branes $L$. We find that for $\frac{\pi}{3}R<L\lessapprox
1.068 R$ that chiral symmetry is restored, and that chiral symmetry is broken
for $L$ outside this window. We further argue that the solutions with
$L<\frac{\pi}{3}$ are only classically stable, and in fact no D7 embedding
exists with these boundary conditions.
| [
{
"created": "Tue, 3 Mar 2009 21:44:14 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2009 16:34:52 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Burrington",
"Benjamin A.",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | We study the dynamics of probe D7 $\overline{\rm D7}$ flavor probe branes in the background of near extremal D5 branes. This model is a holographic dual to a gauge theory with spontaneous breaking of a $U(N_f)_L\times U(N_f)_R$ chiral symmetry. The spectrum of two such D7 $\overline{\rm D7}$ embeddings, contains a single massive 4D meson coming from the world volume U(1) gauge field, the pion, and a single massive 4D scalar meson coming from fluctuations of the embedding of the brane. In addition, there are continuum five dimensional states due to the finite height of the effective potential in the radial direction. We investigate baryons in this model, and find that the size is stabilized due to the Chern-Simons term in the D7 world volume action. The model admits a Hagedorn temperature of $\frac{1}{2\pi R}$ where $R$ is the radius parameter in the D5 branes metric. We investigate the pattern of chiral symmetry breaking in the deconfined phase as a function of the asymptotic separation of the branes $L$. We find that for $\frac{\pi}{3}R<L\lessapprox 1.068 R$ that chiral symmetry is restored, and that chiral symmetry is broken for $L$ outside this window. We further argue that the solutions with $L<\frac{\pi}{3}$ are only classically stable, and in fact no D7 embedding exists with these boundary conditions. |
2207.07138 | Ashoke Sen | Joydeep Chakravarty and Ashoke Sen | Normalization of D instanton amplitudes in two dimensional type 0B
string theory | LaTeX, 7 pages | null | 10.1007/JHEP02(2023)170 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the normalization of the D-instanton amplitudes in type 0B string
theory in two dimensions and find perfect agreement with the dual matrix model
result.
| [
{
"created": "Thu, 14 Jul 2022 18:00:51 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Chakravarty",
"Joydeep",
""
],
[
"Sen",
"Ashoke",
""
]
] | We compute the normalization of the D-instanton amplitudes in type 0B string theory in two dimensions and find perfect agreement with the dual matrix model result. |
2209.10094 | Teun Van Nuland Dr. | Teun D. H. van Nuland and Walter D. van Suijlekom | Cyclic cocycles and one-loop corrections in the spectral action | 20 pages. arXiv admin note: text overlap with arXiv:2104.09899 | null | null | null | hep-th math.FA math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an intelligible review of recent results concerning cyclic
cocycles in the spectral action and one-loop quantization. We show that the
spectral action, when perturbed by a gauge potential, can be written as a
series of Chern-Simons actions and Yang-Mills actions of all orders. In the odd
orders, generalized Chern-Simons forms are integrated against an odd
$(b,B)$-cocycle, whereas, in the even orders, powers of the curvature are
integrated against $(b,B)$-cocycles that are Hochschild cocycles as well. In
both cases, the Hochschild cochains are derived from the Taylor series
expansion of the spectral action Tr$(f(D+V))$ in powers of $V=\pi_D(A)$, but
unlike the Taylor expansion we expand in increasing order of the forms in $A$.
We then analyze the perturbative quantization of the spectral action in
noncommutative geometry and establish its one-loop renormalizability as a gauge
theory. We show that the one-loop counterterms are of the same
Chern-Simons-Yang-Mills form so that they can be safely subtracted from the
spectral action. A crucial role will be played by the appropriate Ward
identities, allowing for a fully spectral formulation of the quantum theory at
one loop.
| [
{
"created": "Wed, 21 Sep 2022 04:06:02 GMT",
"version": "v1"
}
] | 2022-09-22 | [
[
"van Nuland",
"Teun D. H.",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] | We present an intelligible review of recent results concerning cyclic cocycles in the spectral action and one-loop quantization. We show that the spectral action, when perturbed by a gauge potential, can be written as a series of Chern-Simons actions and Yang-Mills actions of all orders. In the odd orders, generalized Chern-Simons forms are integrated against an odd $(b,B)$-cocycle, whereas, in the even orders, powers of the curvature are integrated against $(b,B)$-cocycles that are Hochschild cocycles as well. In both cases, the Hochschild cochains are derived from the Taylor series expansion of the spectral action Tr$(f(D+V))$ in powers of $V=\pi_D(A)$, but unlike the Taylor expansion we expand in increasing order of the forms in $A$. We then analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability as a gauge theory. We show that the one-loop counterterms are of the same Chern-Simons-Yang-Mills form so that they can be safely subtracted from the spectral action. A crucial role will be played by the appropriate Ward identities, allowing for a fully spectral formulation of the quantum theory at one loop. |
1412.8182 | SIbasish Banerjee | Sergei Alexandrov and Sibasish Banerjee | Hypermultiplet metric and D-instantons | 20+12+4 pages | null | 10.1007/JHEP02(2015)176 | L2C:14-217 | hep-th gr-qc math-ph math.DG math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the twistorial construction of D-instantons in Calabi-Yau
compactifications of type II string theory to compute an explicit expression
for the metric on the hypermultiplet moduli space affected by these
non-perturbative corrections. In this way we obtain an exact quaternion-Kahler
metric which is a non-trivial deformation of the local c-map. In the
four-dimensional case corresponding to the universal hypermultiplet, our metric
fits the Tod ansatz and provides an exact solution of the continuous Toda
equation. We also analyze the fate of the curvature singularity of the
perturbative metric by deriving an S-duality invariant equation which
determines the singularity hypersurface after inclusion of the D(-1)-instanton
effects.
| [
{
"created": "Sun, 28 Dec 2014 16:37:09 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2015 17:31:12 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Banerjee",
"Sibasish",
""
]
] | We use the twistorial construction of D-instantons in Calabi-Yau compactifications of type II string theory to compute an explicit expression for the metric on the hypermultiplet moduli space affected by these non-perturbative corrections. In this way we obtain an exact quaternion-Kahler metric which is a non-trivial deformation of the local c-map. In the four-dimensional case corresponding to the universal hypermultiplet, our metric fits the Tod ansatz and provides an exact solution of the continuous Toda equation. We also analyze the fate of the curvature singularity of the perturbative metric by deriving an S-duality invariant equation which determines the singularity hypersurface after inclusion of the D(-1)-instanton effects. |
hep-th/0403260 | Urs Schreiber | Urs Schreiber | DDF and Pohlmeyer invariants of (super)string | 17 pp, minor typos corrected, references to papers by Isaev and
Borodulin added, which contain essentially the same results as reported here | JHEP0405:027,2004 | 10.1088/1126-6708/2004/05/027 | null | hep-th | null | We show how the Pohlmeyer invariants of the bosonic string are expressible in
terms of DDF invariants. Quantization of the DDF observables in the usual way
yields a consistent quantization of the algebra of Pohlmeyer invariants.
Furthermore it becomes straightforward to generalize the Pohlmeyer invariants
to the superstring as well as to all backgrounds which allow a free field
realization of the worldsheet theory.
| [
{
"created": "Thu, 25 Mar 2004 19:00:51 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Mar 2004 17:36:46 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Sep 2004 14:42:15 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Schreiber",
"Urs",
""
]
] | We show how the Pohlmeyer invariants of the bosonic string are expressible in terms of DDF invariants. Quantization of the DDF observables in the usual way yields a consistent quantization of the algebra of Pohlmeyer invariants. Furthermore it becomes straightforward to generalize the Pohlmeyer invariants to the superstring as well as to all backgrounds which allow a free field realization of the worldsheet theory. |
1009.5615 | Robert Oeckl | Robert Oeckl | Holomorphic Quantization of Linear Field Theory in the General Boundary
Formulation | null | SIGMA 8 (2012), 050, 31 pages | 10.3842/SIGMA.2012.050 | UNAM-IM-MOR-2010-1 | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We present a rigorous quantization scheme that yields a quantum field theory
in general boundary form starting from a linear field theory. Following a
geometric quantization approach in the K\"ahler case, state spaces arise as
spaces of holomorphic functions on linear spaces of classical solutions in
neighborhoods of hypersurfaces. Amplitudes arise as integrals of such functions
over spaces of classical solutions in regions of spacetime. We prove the
validity of the TQFT-type axioms of the general boundary formulation under
reasonable assumptions. We also develop the notions of vacuum and coherent
states in this framework. As a first application we quantize evanescent waves
in Klein-Gordon theory.
| [
{
"created": "Tue, 28 Sep 2010 16:08:11 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2012 15:50:22 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Aug 2012 05:11:16 GMT",
"version": "v3"
}
] | 2012-08-10 | [
[
"Oeckl",
"Robert",
""
]
] | We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the K\"ahler case, state spaces arise as spaces of holomorphic functions on linear spaces of classical solutions in neighborhoods of hypersurfaces. Amplitudes arise as integrals of such functions over spaces of classical solutions in regions of spacetime. We prove the validity of the TQFT-type axioms of the general boundary formulation under reasonable assumptions. We also develop the notions of vacuum and coherent states in this framework. As a first application we quantize evanescent waves in Klein-Gordon theory. |
0908.2015 | Bobby Eka Gunara | Bobby Eka Gunara, Freddy Permana Zen, and Arianto | Deformation of Dyonic Black Holes and Vacuum Geometries in Four
Dimensional N=1 Supergravity | shortened version, 9 pages, removed some trivial results, no figure,
typos and incorrect statements corrected, accepted in Adv. Stud. Theor. Phys | Adv. Studies Theor. Phys. 6: 379, 2012 | null | null | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study some aspects of spherical symmetric dyonic non-supersymmetric black
holes in $4d \; N=1$ supergravity coupled to chiral and vector multiplets on
K\"ahler-Ricci solitons. Then, we have a family of dyonic non-supersymmetric
black holes deformed with respect to the flow parameter related to the
K\"ahler-Ricci soliton, which possibly controls the nature of black holes, such
as their asymptotic and near horizon geometries. Two types of black holes are
discussed, namely a family of dyonic Reissner-Nordstr\"om-like black holes and
Bertotti-Robinson-like black holes where the scalars are freezing all over
spacetime and at the horizon, respectively. In addition, the corresponding
vacuum structures for such black holes are also studied in the context of
Morse-(Bott) theory. Finally, we give some simple $\;{\lC \mathrm{P}}^n$-models
whose superpotential and gauge couplings have a linear form.
| [
{
"created": "Fri, 14 Aug 2009 06:17:24 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Aug 2009 02:56:40 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jan 2012 07:13:48 GMT",
"version": "v3"
}
] | 2012-06-26 | [
[
"Gunara",
"Bobby Eka",
""
],
[
"Zen",
"Freddy Permana",
""
],
[
"Arianto",
"",
""
]
] | We study some aspects of spherical symmetric dyonic non-supersymmetric black holes in $4d \; N=1$ supergravity coupled to chiral and vector multiplets on K\"ahler-Ricci solitons. Then, we have a family of dyonic non-supersymmetric black holes deformed with respect to the flow parameter related to the K\"ahler-Ricci soliton, which possibly controls the nature of black holes, such as their asymptotic and near horizon geometries. Two types of black holes are discussed, namely a family of dyonic Reissner-Nordstr\"om-like black holes and Bertotti-Robinson-like black holes where the scalars are freezing all over spacetime and at the horizon, respectively. In addition, the corresponding vacuum structures for such black holes are also studied in the context of Morse-(Bott) theory. Finally, we give some simple $\;{\lC \mathrm{P}}^n$-models whose superpotential and gauge couplings have a linear form. |
2405.18141 | Elias Furrer Dr | Cyril Closset, Elias Furrer, Osama Khlaif | One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically
twisted indices for any $G$ | 75 pages + appendices, 8 figures. v2: minor changes, references added | null | null | null | hep-th math.AG | http://creativecommons.org/licenses/by/4.0/ | We study three-dimensional $\mathcal{N}=2$ supersymmetric Chern-Simons-matter
gauge theories with a one-form symmetry in the $A$-model formalism on
$\Sigma_g\times S^1$. We explicitly compute expectation values of topological
line operators that implement the one-form symmetry. This allows us to compute
the topologically twisted index on the closed Riemann surface $\Sigma_g$ for
any real compact gauge group $G$. All computations are carried out in the
effective $A$-model on $\Sigma_g$, whose ground states are the so-called Bethe
vacua. We discuss how the 3d one-form symmetry acts on the Bethe vacua, and how
its 't Hooft anomaly constrains the vacuum structure. In the special case of
the $SU(N)_K$ $\mathcal{N}=2$ Chern-Simons theory, we obtain results for the
$(SU(N)/\mathbb{Z}_r)^{\theta}_K$ $\mathcal{N}=2$ Chern-Simons theories, for
all non-anomalous $\mathbb{Z}_r \subseteq \mathbb{Z}_N$ subgroups of the center
of the gauge group, and with the associated $\mathbb{Z}_r$ $\theta$-angle
turned on, reproducing and extending various results in the literature. In
particular, we find an interesting mixed 't Hooft anomaly between gravity and
the $\mathbb{Z}_r$ one-form symmetry of the $SU(N)_K$ theory (for $N$ even,
$\frac{N}{r}$ odd and $\frac{K}{r}$ even). This plays a key role in our
derivation of the Witten index, which we explicitly compute for any $N$, $K$
and $r$ in terms of refinements of Jordan's totient function. Our results lead
to precise conjectures about integrality of indices, which appear to have a
strong number-theoretic flavour. Note: this paper directly builds upon
unpublished notes by Brian Willett from 2020.
| [
{
"created": "Tue, 28 May 2024 13:01:19 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 13:40:30 GMT",
"version": "v2"
}
] | 2024-06-12 | [
[
"Closset",
"Cyril",
""
],
[
"Furrer",
"Elias",
""
],
[
"Khlaif",
"Osama",
""
]
] | We study three-dimensional $\mathcal{N}=2$ supersymmetric Chern-Simons-matter gauge theories with a one-form symmetry in the $A$-model formalism on $\Sigma_g\times S^1$. We explicitly compute expectation values of topological line operators that implement the one-form symmetry. This allows us to compute the topologically twisted index on the closed Riemann surface $\Sigma_g$ for any real compact gauge group $G$. All computations are carried out in the effective $A$-model on $\Sigma_g$, whose ground states are the so-called Bethe vacua. We discuss how the 3d one-form symmetry acts on the Bethe vacua, and how its 't Hooft anomaly constrains the vacuum structure. In the special case of the $SU(N)_K$ $\mathcal{N}=2$ Chern-Simons theory, we obtain results for the $(SU(N)/\mathbb{Z}_r)^{\theta}_K$ $\mathcal{N}=2$ Chern-Simons theories, for all non-anomalous $\mathbb{Z}_r \subseteq \mathbb{Z}_N$ subgroups of the center of the gauge group, and with the associated $\mathbb{Z}_r$ $\theta$-angle turned on, reproducing and extending various results in the literature. In particular, we find an interesting mixed 't Hooft anomaly between gravity and the $\mathbb{Z}_r$ one-form symmetry of the $SU(N)_K$ theory (for $N$ even, $\frac{N}{r}$ odd and $\frac{K}{r}$ even). This plays a key role in our derivation of the Witten index, which we explicitly compute for any $N$, $K$ and $r$ in terms of refinements of Jordan's totient function. Our results lead to precise conjectures about integrality of indices, which appear to have a strong number-theoretic flavour. Note: this paper directly builds upon unpublished notes by Brian Willett from 2020. |
hep-th/0703075 | J. C. Wallet | Axel de Goursac, Jean-Christophe Wallet, Raimar Wulkenhaar | Noncommutative Induced Gauge Theory | 20 pages, 6 figures | Eur.Phys.J.C51:977-987,2007 | 10.1140/epjc/s10052-007-0335-2 | null | hep-th math-ph math.MP | null | We consider an external gauge potential minimally coupled to a renormalisable
scalar theory on 4-dimensional Moyal space and compute in position space the
one-loop Yang-Mills-type effective theory generated from the integration over
the scalar field. We find that the gauge invariant effective action involves,
beyond the expected noncommutative version of the pure Yang-Mills action,
additional terms that may be interpreted as the gauge theory counterpart of the
harmonic oscillator term, which for the noncommutative $\phi^4$-theory on Moyal
space ensures renormalisability. The expression of a possible candidate for a
renormalisable action for a gauge theory defined on Moyal space is conjectured
and discussed.
| [
{
"created": "Thu, 8 Mar 2007 14:15:22 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Mar 2007 14:11:08 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"de Goursac",
"Axel",
""
],
[
"Wallet",
"Jean-Christophe",
""
],
[
"Wulkenhaar",
"Raimar",
""
]
] | We consider an external gauge potential minimally coupled to a renormalisable scalar theory on 4-dimensional Moyal space and compute in position space the one-loop Yang-Mills-type effective theory generated from the integration over the scalar field. We find that the gauge invariant effective action involves, beyond the expected noncommutative version of the pure Yang-Mills action, additional terms that may be interpreted as the gauge theory counterpart of the harmonic oscillator term, which for the noncommutative $\phi^4$-theory on Moyal space ensures renormalisability. The expression of a possible candidate for a renormalisable action for a gauge theory defined on Moyal space is conjectured and discussed. |
2308.12887 | Sruthi Narayanan | Rajamani Narayanan and Sruthi A. Narayanan | Spectrum of two-dimensional $su(2)$ gauge theories coupled to massless
fermions in integer representations | 21 pages, 6 figures; v2 contains minor text revisions, reference
added, and was accepted for publication in PRD | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The spectra of two-dimensional $su(2)$ gauge theories coupled to a single
massless Majorana fermion in integer representations, $J$, are numerically
investigated using the Discrete Light-Cone Hamiltonian. One of our aims is to
explore the possible presence of massless states for $J>2$ in spite of the
absence of a continuous symmetry. After comparing to existing results for $J=1$
(adjoint fermions), we present results for $J=2,3,4$. As expected, for $J=2$
there are no massless states but in contrast to the $J=1$ theory, the lightest
state is a boson. We find exact massless modes in the bosonic and fermionic
sector for all values of total momentum for $J=3$ and $J=4$ and, in each
sector, the number of massless modes grows with the value of the total
momentum. In addition to the spectrum, we present results on the particle
number and momentum fraction distributions and argue for a separation of bulk
states from edge states.
| [
{
"created": "Thu, 24 Aug 2023 16:04:42 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2023 01:55:36 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Oct 2023 14:45:58 GMT",
"version": "v3"
}
] | 2023-10-11 | [
[
"Narayanan",
"Rajamani",
""
],
[
"Narayanan",
"Sruthi A.",
""
]
] | The spectra of two-dimensional $su(2)$ gauge theories coupled to a single massless Majorana fermion in integer representations, $J$, are numerically investigated using the Discrete Light-Cone Hamiltonian. One of our aims is to explore the possible presence of massless states for $J>2$ in spite of the absence of a continuous symmetry. After comparing to existing results for $J=1$ (adjoint fermions), we present results for $J=2,3,4$. As expected, for $J=2$ there are no massless states but in contrast to the $J=1$ theory, the lightest state is a boson. We find exact massless modes in the bosonic and fermionic sector for all values of total momentum for $J=3$ and $J=4$ and, in each sector, the number of massless modes grows with the value of the total momentum. In addition to the spectrum, we present results on the particle number and momentum fraction distributions and argue for a separation of bulk states from edge states. |
hep-th/9711018 | Fujii Kazuyuki | Kazuyuki Fujii | String Solitons in M Theory Fivebrane : A possibility of higher order
U(1) bundles | 17 pages, LaTeX2e | null | null | null | hep-th | null | A volume form $H$ on the $n$--dimensional sphere $S^n$ is closed $(dH=0)$, so
that it is locally written as $H=dB$, where B is a $(n-1)$--form. In the first
half we give an explicit form to B and, moreover, a speculation concerning
higher order U(1) bundles. In the second half we apply our B in the case $n=3$
to a string soliton solution discussed by Perry and Schwarz.
| [
{
"created": "Wed, 5 Nov 1997 02:01:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fujii",
"Kazuyuki",
""
]
] | A volume form $H$ on the $n$--dimensional sphere $S^n$ is closed $(dH=0)$, so that it is locally written as $H=dB$, where B is a $(n-1)$--form. In the first half we give an explicit form to B and, moreover, a speculation concerning higher order U(1) bundles. In the second half we apply our B in the case $n=3$ to a string soliton solution discussed by Perry and Schwarz. |
1411.3074 | Christian Schubert | Adolfo Huet, Sang Pyo Kim and Christian Schubert | On the Vlasov equation for Schwinger pair production in a time-dependent
electric field | 15 pages, 2 figures, final published version (substantially extended) | Physical Review D 90, 125033 (2014) | 10.1103/PhysRevD.90.125033 | NSF-KITP-14-116 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Schwinger pair creation in a purely time-dependent electric field can be
described through a quantum Vlasov equation describing the time evolution of
the single-particle momentum distribution function. This equation exists in two
versions, both of which can be derived by a Bogoliubov transformation, but
whose equivalence is not obvious. For the spinless case, we show here that the
difference between these two evolution equations corresponds to the one between
the "in-out" and "in-in" formalisms. We give a simple relation between the
asymptotic distribution functions generated by the two Vlasov equations. As
examples we discuss the Sauter and single-soliton field cases.
| [
{
"created": "Wed, 12 Nov 2014 05:33:58 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 2015 00:17:38 GMT",
"version": "v2"
}
] | 2015-01-27 | [
[
"Huet",
"Adolfo",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Schubert",
"Christian",
""
]
] | Schwinger pair creation in a purely time-dependent electric field can be described through a quantum Vlasov equation describing the time evolution of the single-particle momentum distribution function. This equation exists in two versions, both of which can be derived by a Bogoliubov transformation, but whose equivalence is not obvious. For the spinless case, we show here that the difference between these two evolution equations corresponds to the one between the "in-out" and "in-in" formalisms. We give a simple relation between the asymptotic distribution functions generated by the two Vlasov equations. As examples we discuss the Sauter and single-soliton field cases. |
hep-th/0002247 | Alexey A. Sharapov | S. L. Lyakhovich, A. A. Sharapov, K. M. Shekhter | A uniform model of the massive spinning particle in any dimension | Latex, revised version of hep-th/9811003 | Int.J.Mod.Phys. A15 (2000) 4287-4300 | 10.1142/S0217751X00002111 | null | hep-th | null | The general model of an arbitrary spin massive particle in any dimensional
space-time is derived on the basis of Kirillov - Kostant - Souriau approach. It
is shown that the model allows consistent coupling to an arbitrary background
of electromagnetic and gravitational fields.
| [
{
"created": "Tue, 29 Feb 2000 09:37:40 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Lyakhovich",
"S. L.",
""
],
[
"Sharapov",
"A. A.",
""
],
[
"Shekhter",
"K. M.",
""
]
] | The general model of an arbitrary spin massive particle in any dimensional space-time is derived on the basis of Kirillov - Kostant - Souriau approach. It is shown that the model allows consistent coupling to an arbitrary background of electromagnetic and gravitational fields. |
hep-th/0301141 | George E. A. Matsas | George E. A. Matsas and Daniel A. T. Vanzella | Weak decay of swirling protons and other processes | 8 pages, 4 figures | null | null | null | hep-th astro-ph hep-ph | null | We investigate the weak-interaction emission of spin-1/2 fermions from
decaying (and non-decaying) particles endowed with uniform circular motion. The
decay of swirling protons and the neutrino- antineutrino emission from
circularly moving electrons are analyzed in some detail. The relevance of our
results to astrophysics is commented.
| [
{
"created": "Mon, 20 Jan 2003 11:33:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Matsas",
"George E. A.",
""
],
[
"Vanzella",
"Daniel A. T.",
""
]
] | We investigate the weak-interaction emission of spin-1/2 fermions from decaying (and non-decaying) particles endowed with uniform circular motion. The decay of swirling protons and the neutrino- antineutrino emission from circularly moving electrons are analyzed in some detail. The relevance of our results to astrophysics is commented. |
hep-th/0502114 | George Savvidy K. | G.Savvidy | Tensionless strings, correspondence with SO(D,D) sigma model | Latex, 9 pages | Phys.Lett. B615 (2005) 285-290 | 10.1016/j.physletb.2005.04.001 | CERN-PH-TH/2005-024; NRCPS-HE-2005-13 | hep-th | null | String theory with perimeter action is tensionless by its geometrical nature
and has pure massless spectrum of higher spin gauge particles. I demonstrate
that liner transformation of the world-sheet fields defines a map to the
SO(D,D) sigma model equipped by additional Abelian constraint, which breaks
SO(D,D) to a diagonal SO(1,D-1). The effective tension is equal to the square
of the dimensional coupling constant of the perimeter action. This
correspondence allows to view the perimeter action as a "square root" of the
Nambu-Goto area action. The aforementioned map between tensionless strings and
SO(D,D) sigma model allows to introduce the vertex operators in full analogy
with the standard string theory and to confirm the form of the vertex operators
introduced earlier.
| [
{
"created": "Sat, 12 Feb 2005 10:56:06 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Savvidy",
"G.",
""
]
] | String theory with perimeter action is tensionless by its geometrical nature and has pure massless spectrum of higher spin gauge particles. I demonstrate that liner transformation of the world-sheet fields defines a map to the SO(D,D) sigma model equipped by additional Abelian constraint, which breaks SO(D,D) to a diagonal SO(1,D-1). The effective tension is equal to the square of the dimensional coupling constant of the perimeter action. This correspondence allows to view the perimeter action as a "square root" of the Nambu-Goto area action. The aforementioned map between tensionless strings and SO(D,D) sigma model allows to introduce the vertex operators in full analogy with the standard string theory and to confirm the form of the vertex operators introduced earlier. |
1901.09612 | Mois\'es Bravo Gaete | Moises Bravo Gaete, Sebastian Gomez, Mokhtar Hassaine | Black holes with Lambert W function horizons | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Einstein gravity with a negative cosmological constant endowed
with distinct matter sources. The different models analyzed here share the
following two properties: (i) they admit static symmetric solutions with planar
base manifold characterized by their mass and some additional Noetherian
charges, and (ii) the contribution of these latter in the metric has a slower
falloff to zero than the mass term, and this slowness is of logarithmic order.
Under these hypothesis, it is shown that, for suitable bounds between the mass
and the additional Noetherian charges, the solutions can represent black holes
with two horizons whose locations are given in term of the real branches of the
Lambert W functions. We present various examples of such black hole solutions
with electric, dyonic or axionic charges with AdS and Lifshitz asymptotics. As
an illustrative example, we construct a purely AdS magnetic black hole in five
dimensions with a matter source given by three different Maxwell invariants.
| [
{
"created": "Mon, 28 Jan 2019 11:42:19 GMT",
"version": "v1"
}
] | 2019-01-29 | [
[
"Gaete",
"Moises Bravo",
""
],
[
"Gomez",
"Sebastian",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] | We consider Einstein gravity with a negative cosmological constant endowed with distinct matter sources. The different models analyzed here share the following two properties: (i) they admit static symmetric solutions with planar base manifold characterized by their mass and some additional Noetherian charges, and (ii) the contribution of these latter in the metric has a slower falloff to zero than the mass term, and this slowness is of logarithmic order. Under these hypothesis, it is shown that, for suitable bounds between the mass and the additional Noetherian charges, the solutions can represent black holes with two horizons whose locations are given in term of the real branches of the Lambert W functions. We present various examples of such black hole solutions with electric, dyonic or axionic charges with AdS and Lifshitz asymptotics. As an illustrative example, we construct a purely AdS magnetic black hole in five dimensions with a matter source given by three different Maxwell invariants. |
2012.05379 | Xiangyi Meng | Xiangyi Meng | Double-trace deformation in Keldysh field theory | 35 pages, 9 figures | Phys. Rev. D 104, 016016 (2021) | 10.1103/PhysRevD.104.016016 | null | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | The Keldysh formalism is capable of describing driven-dissipative dynamics of
open quantum systems as nonunitary effective field theories that are not
necessarily thermodynamical, thus often exhibiting new physics. Here, we
introduce a general Keldysh action that maximally obeys Weinbergian
constraints, including locality, Poincar\'e invariance, and two "$CPT$"
constraints: complete positivity and trace preserving as well as charge,
parity, and time reversal symmetry. We find that the perturbative Lindblad term
responsible for driven-dissipative dynamics introduced therein has the natural
form of a double-trace deformation $\mathcal{O}^2$, which, in the large $N$
limit, possibly leads to a new nonthermal conformal fixed point. This fixed
point is IR when $\Delta<d/2$ or UV when $\Delta>d/2$ given $d$ the dimensions
of spacetime and $\Delta$ the scaling dimension of $\mathcal{O}$. Such a UV
fixed point being not forbidden by Weinbergian constraints may suggest its
existence and even completion of itself, in contrast to the common sense that
dissipation effects are always IR relevant. This observation implies that
driven-dissipative dynamics is much richer than thermodynamics, differing in
not only its noncompliance with thermodynamic symmetry (e.g., the
fluctuation-dissipation relation) but its UV/IR relevance as well. Examples
including a $(0+1)$-$d$ harmonic oscillator under continuous measurement and a
$(4-\epsilon)$-$d$ classic $O(N)$ vector model with quartic interactions are
studied.
| [
{
"created": "Thu, 10 Dec 2020 00:16:47 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 2021 14:50:20 GMT",
"version": "v2"
}
] | 2021-07-21 | [
[
"Meng",
"Xiangyi",
""
]
] | The Keldysh formalism is capable of describing driven-dissipative dynamics of open quantum systems as nonunitary effective field theories that are not necessarily thermodynamical, thus often exhibiting new physics. Here, we introduce a general Keldysh action that maximally obeys Weinbergian constraints, including locality, Poincar\'e invariance, and two "$CPT$" constraints: complete positivity and trace preserving as well as charge, parity, and time reversal symmetry. We find that the perturbative Lindblad term responsible for driven-dissipative dynamics introduced therein has the natural form of a double-trace deformation $\mathcal{O}^2$, which, in the large $N$ limit, possibly leads to a new nonthermal conformal fixed point. This fixed point is IR when $\Delta<d/2$ or UV when $\Delta>d/2$ given $d$ the dimensions of spacetime and $\Delta$ the scaling dimension of $\mathcal{O}$. Such a UV fixed point being not forbidden by Weinbergian constraints may suggest its existence and even completion of itself, in contrast to the common sense that dissipation effects are always IR relevant. This observation implies that driven-dissipative dynamics is much richer than thermodynamics, differing in not only its noncompliance with thermodynamic symmetry (e.g., the fluctuation-dissipation relation) but its UV/IR relevance as well. Examples including a $(0+1)$-$d$ harmonic oscillator under continuous measurement and a $(4-\epsilon)$-$d$ classic $O(N)$ vector model with quartic interactions are studied. |
0706.0162 | Rowan Thomson | Robert C. Myers, Andrei O. Starinets, and Rowan M. Thomson | Holographic spectral functions and diffusion constants for fundamental
matter | LaTex, 66 pages, 18 figures, final version | JHEP 0711:091,2007 | 10.1088/1126-6708/2007/11/091 | null | hep-th | null | The holographic dual of large-Nc super-Yang-Mills coupled to a small number
of flavours of fundamental matter, Nf << Nc, is described by Nf probe D7-branes
in the gravitational background of Nc black D3-branes. This system undergoes a
first order phase transition characterised by the `melting' of the mesons. We
study the high temperature phase in which the D7-branes extend through the
black hole horizon. In this phase, we compute the spectral function for vector,
scalar and pseudoscalar modes on the D7-brane probe. We also compute the
diffusion constant for the flavour currents.
| [
{
"created": "Fri, 1 Jun 2007 14:50:37 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2007 18:42:54 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Oct 2007 12:19:53 GMT",
"version": "v3"
}
] | 2009-03-20 | [
[
"Myers",
"Robert C.",
""
],
[
"Starinets",
"Andrei O.",
""
],
[
"Thomson",
"Rowan M.",
""
]
] | The holographic dual of large-Nc super-Yang-Mills coupled to a small number of flavours of fundamental matter, Nf << Nc, is described by Nf probe D7-branes in the gravitational background of Nc black D3-branes. This system undergoes a first order phase transition characterised by the `melting' of the mesons. We study the high temperature phase in which the D7-branes extend through the black hole horizon. In this phase, we compute the spectral function for vector, scalar and pseudoscalar modes on the D7-brane probe. We also compute the diffusion constant for the flavour currents. |
2101.06513 | Dibakar Roychowdhury | Dibakar Roychowdhury | Decoding the Spin-Matrix limit of strings on $AdS_5 \times S^5$ | Version accepted in PLB | Phys.Lett. B820(2021)136499 | 10.1016/j.physletb.2021.136499 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter, we explore nonrelativistic string solutions in various
subsectors of the $ SU(1,2|3) $ SMT strings that correspond to different spin
groups and satisfy the respective BPS bounds. In particular, we carry out an
explicit analysis on rotating string solutions in the light of recently
proposed SMT limits. We explore newly constructed SMT limits of type IIB
(super) strings on $ AdS_5 \times S^5 $ and estimate the corresponding leading
order stringy corrections near the respective BPS bounds.
| [
{
"created": "Sat, 16 Jan 2021 20:04:54 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 13:44:02 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jun 2021 13:59:45 GMT",
"version": "v3"
}
] | 2021-07-14 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | In this Letter, we explore nonrelativistic string solutions in various subsectors of the $ SU(1,2|3) $ SMT strings that correspond to different spin groups and satisfy the respective BPS bounds. In particular, we carry out an explicit analysis on rotating string solutions in the light of recently proposed SMT limits. We explore newly constructed SMT limits of type IIB (super) strings on $ AdS_5 \times S^5 $ and estimate the corresponding leading order stringy corrections near the respective BPS bounds. |
hep-th/9703150 | Gabriele Veneziano | G. Veneziano | Inhomogeneous Pre-Big Bang String Cosmology | 13 pages, Latex, references added | Phys.Lett. B406 (1997) 297-303 | 10.1016/S0370-2693(97)00688-6 | CERN-TH/97-42 | hep-th gr-qc | null | An inhomogeneous version of pre--Big Bang cosmology emerges, within string
theory, from quite generic initial conditions, provided they lie deeply inside
the weak-coupling, low-curvature regime. Large-scale homogeneity, flatness, and
isotropy appear naturally as late-time outcomes of such an evolution.
| [
{
"created": "Fri, 21 Mar 1997 12:26:17 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Mar 1997 09:30:53 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Veneziano",
"G.",
""
]
] | An inhomogeneous version of pre--Big Bang cosmology emerges, within string theory, from quite generic initial conditions, provided they lie deeply inside the weak-coupling, low-curvature regime. Large-scale homogeneity, flatness, and isotropy appear naturally as late-time outcomes of such an evolution. |
1708.09370 | Kyriakos Papadodimas | Rik van Breukelen, Kyriakos Papadodimas | Quantum teleportation through time-shifted AdS wormholes | 18 pages | null | 10.1007/JHEP08(2018)142 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we
observe that the time-shifted thermofield states of two entangled CFTs can be
made traversable by an appropriate coupling of the two CFTs, or alternatively
by the application of a modified quantum teleportation protocol. This provides
evidence for the smoothness of the horizon for a large class of entangled
states related to the thermofield by time-translations. The smoothness of these
states has some relevance for the firewall paradox and the proposal that some
observables in quantum gravity may be state-dependent. We notice that quantum
teleportation through these entangled states could be used in a laboratory
setup to implement a time-machine, which allows the observer to travel far in
the future.
| [
{
"created": "Wed, 30 Aug 2017 17:19:27 GMT",
"version": "v1"
}
] | 2018-09-26 | [
[
"van Breukelen",
"Rik",
""
],
[
"Papadodimas",
"Kyriakos",
""
]
] | Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we observe that the time-shifted thermofield states of two entangled CFTs can be made traversable by an appropriate coupling of the two CFTs, or alternatively by the application of a modified quantum teleportation protocol. This provides evidence for the smoothness of the horizon for a large class of entangled states related to the thermofield by time-translations. The smoothness of these states has some relevance for the firewall paradox and the proposal that some observables in quantum gravity may be state-dependent. We notice that quantum teleportation through these entangled states could be used in a laboratory setup to implement a time-machine, which allows the observer to travel far in the future. |
hep-th/0208057 | H. M. Fried | H.M. Fried, Y. Gabellini | Summing all the eikonal graphs. II | 23 pages, 5 figures | Eur.Phys.J. C32 (2003) 55-65 | 10.1140/epjc/s2003-01385-y | null | hep-th | null | A physically reasonable model is introduced in order to estimate, in a
functional way, the vast number of distinct graphs which are conventionally
neglected in eikonal scattering models that lead to total cross sections
increasing with energy in the form of the Froissart bound.
| [
{
"created": "Wed, 7 Aug 2002 18:49:49 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Aug 2002 19:00:16 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Fried",
"H. M.",
""
],
[
"Gabellini",
"Y.",
""
]
] | A physically reasonable model is introduced in order to estimate, in a functional way, the vast number of distinct graphs which are conventionally neglected in eikonal scattering models that lead to total cross sections increasing with energy in the form of the Froissart bound. |
2303.00541 | Ali Fatemiabhari | Daniel Elander, Ali Fatemiabhari, Maurizio Piai | Toward minimal composite Higgs models from regular geometries in
bottom-up holography | 26 pages, 6 figures; Version accepted for publication | null | 10.1103/PhysRevD.107.115021 | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study a bottom-up, holographic description of a field theory yielding the
spontaneous breaking of an approximate SO(5) global symmetry to its SO(4)
subgroup. The weakly-coupled, six-dimensional gravity dual has regular
geometry. One of the dimensions is compactified on a circle that shrinks
smoothly to zero size at a finite value of the holographic direction, hence
introducing a physical scale in a way that mimics the effect of confinement in
the dual four-dimensional field theory. We study the spectrum of small
fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be
interpreted as spin-0 and spin-1 bound states in the dual field theory. This
work supplements an earlier publication, focused only on the SO(5) singlet
states. We explore the parameter space of the theory, paying particular
attention to composite states that have the right quantum numbers to be
identified as pseudo-Nambu-Goldstone Bosons (PNGBs).
We find that in this model the PNGBs are generally heavy, with masses of the
same order as other bound states, indicating the presence of a sizeable amount
of explicit symmetry breaking in the field theory side. But we also find a
qualitatively new, unexpected result. When the dimension of the field-theory
operator inducing SO(5) breaking is close to half of the space-time
dimensionality, there exists a region of parameter space in which the PNGBs and
the lightest scalar are both parametrically light in comparison to all other
bound states of the field theory. Although this region is known to yield
metastable classical backgrounds, this finding might be relevant to model
building in the composite Higgs context.
| [
{
"created": "Wed, 1 Mar 2023 14:34:24 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 20:10:03 GMT",
"version": "v2"
},
{
"created": "Thu, 4 May 2023 15:24:54 GMT",
"version": "v3"
}
] | 2023-06-28 | [
[
"Elander",
"Daniel",
""
],
[
"Fatemiabhari",
"Ali",
""
],
[
"Piai",
"Maurizio",
""
]
] | We study a bottom-up, holographic description of a field theory yielding the spontaneous breaking of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six-dimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks smoothly to zero size at a finite value of the holographic direction, hence introducing a physical scale in a way that mimics the effect of confinement in the dual four-dimensional field theory. We study the spectrum of small fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be interpreted as spin-0 and spin-1 bound states in the dual field theory. This work supplements an earlier publication, focused only on the SO(5) singlet states. We explore the parameter space of the theory, paying particular attention to composite states that have the right quantum numbers to be identified as pseudo-Nambu-Goldstone Bosons (PNGBs). We find that in this model the PNGBs are generally heavy, with masses of the same order as other bound states, indicating the presence of a sizeable amount of explicit symmetry breaking in the field theory side. But we also find a qualitatively new, unexpected result. When the dimension of the field-theory operator inducing SO(5) breaking is close to half of the space-time dimensionality, there exists a region of parameter space in which the PNGBs and the lightest scalar are both parametrically light in comparison to all other bound states of the field theory. Although this region is known to yield metastable classical backgrounds, this finding might be relevant to model building in the composite Higgs context. |
hep-th/9211085 | null | Sumit R. Das | The One Dimensional Matrix Model and String Theory | (Based on lectures delivered at the Spring School on Superstrings at
ICTP, Trieste, April, 1992.) 40 pages. Preprint TIFR-TH-92/67 | null | null | null | hep-th | null | We discuss the basic features of the double scaling limit of the one
dimensional matrix model and its interpretation as a two dimensional string
theory. Using the collective field theory formulation of the model we show how
the fluctuations of the collective field can be interpreted as the massless
"tachyon" of the two dimensional string in a linear dilaton background. We
outline the basic physical properties of the theory and discuss the nature of
the S-matrix. Finally we show that the theory admits of another interpretation
in which a certain integral transform of the collective field behaves as the
massless "tachyon" in the two dimensional string with a blackhole background.
We show that both the classical background and the fluctuations are
non-singular at the black hole singularity.
| [
{
"created": "Thu, 19 Nov 1992 12:29:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Das",
"Sumit R.",
""
]
] | We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model we show how the fluctuations of the collective field can be interpreted as the massless "tachyon" of the two dimensional string in a linear dilaton background. We outline the basic physical properties of the theory and discuss the nature of the S-matrix. Finally we show that the theory admits of another interpretation in which a certain integral transform of the collective field behaves as the massless "tachyon" in the two dimensional string with a blackhole background. We show that both the classical background and the fluctuations are non-singular at the black hole singularity. |
2111.10423 | Erich Poppitz | Erich Poppitz | Notes on Confinement on $\mathbf{R^3 \times S^1}$: From Yang-Mills,
super-Yang-Mills, and QCD(adj) to QCD(F) | 125 pages, 30 figures, typos corrected and references added, agrees
with published version; typo in eq. (94) fixed | null | 10.3390/sym14010180 | null | hep-th hep-lat hep-ph | http://creativecommons.org/publicdomain/zero/1.0/ | This is a pedagogical introduction to the physics of confinement on $R^3
\times S^1$, using $SU(2)$ Yang-Mills with massive or massless adjoint fermions
as the prime example; at the end, we also add fundamental flavours. The
small-$S^1$ limit is remarkable, allowing for controlled semiclassical
determination of the nonperturbative physics in these, mostly
non-supersymmetric, theories. We begin by reviewing the Polyakov confinement
mechanism on $R^3$. Moving on to $R^3 \times S^1$, we show how introducing
adjoint fermions stabilizes center symmetry, leading to abelianization and
semiclassical calculability. We explain how monopole-instantons and twisted
monopole-instantons arise. We describe the role of various novel topological
excitations in extending Polyakov's confinement to the locally four-dimensional
case, discuss the nature of the confining string, and the $\theta$-angle
dependence.~We study the global symmetry realization and, when available,
present evidence for the absence of phase transitions as a function of the
$S^1$ size. As our aim is not to cover all work on the subject, but to prepare
the interested reader for its study, we also include brief descriptions of
topics not covered in detail: the necessity for analytic continuation of path
integrals, the study of more general theories, and the 't Hooft anomalies
involving higher-form symmetries.
| [
{
"created": "Fri, 19 Nov 2021 20:18:09 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2022 20:07:29 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Jan 2022 00:41:40 GMT",
"version": "v3"
}
] | 2022-02-01 | [
[
"Poppitz",
"Erich",
""
]
] | This is a pedagogical introduction to the physics of confinement on $R^3 \times S^1$, using $SU(2)$ Yang-Mills with massive or massless adjoint fermions as the prime example; at the end, we also add fundamental flavours. The small-$S^1$ limit is remarkable, allowing for controlled semiclassical determination of the nonperturbative physics in these, mostly non-supersymmetric, theories. We begin by reviewing the Polyakov confinement mechanism on $R^3$. Moving on to $R^3 \times S^1$, we show how introducing adjoint fermions stabilizes center symmetry, leading to abelianization and semiclassical calculability. We explain how monopole-instantons and twisted monopole-instantons arise. We describe the role of various novel topological excitations in extending Polyakov's confinement to the locally four-dimensional case, discuss the nature of the confining string, and the $\theta$-angle dependence.~We study the global symmetry realization and, when available, present evidence for the absence of phase transitions as a function of the $S^1$ size. As our aim is not to cover all work on the subject, but to prepare the interested reader for its study, we also include brief descriptions of topics not covered in detail: the necessity for analytic continuation of path integrals, the study of more general theories, and the 't Hooft anomalies involving higher-form symmetries. |
1702.00730 | Kenny Wong | Kenny Wong | Two-dimensional gauge dynamics and the topology of singular
determinantal varieties | v3: incorporated referee's comments | JHEP 1703:132, 2017 | 10.1007/JHEP03(2017)132 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We record an observation about the Witten indices in two families of gauged
linear sigma models: the U(2) model for linear sections of Grassmannians, and
the U(1) model for quadric complete intersections. We describe how the Witten
indices are related to the Euler characteristics of the singular skew-symmetric
or symmetric determinantal varieties featuring in the analysis of their
opposite phases, and we discuss the extent to which these relationships can be
reconciled with standard Born-Oppenheimer arguments.
| [
{
"created": "Thu, 2 Feb 2017 16:09:05 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Feb 2017 15:38:57 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Mar 2017 21:10:56 GMT",
"version": "v3"
}
] | 2017-04-26 | [
[
"Wong",
"Kenny",
""
]
] | We record an observation about the Witten indices in two families of gauged linear sigma models: the U(2) model for linear sections of Grassmannians, and the U(1) model for quadric complete intersections. We describe how the Witten indices are related to the Euler characteristics of the singular skew-symmetric or symmetric determinantal varieties featuring in the analysis of their opposite phases, and we discuss the extent to which these relationships can be reconciled with standard Born-Oppenheimer arguments. |
hep-th/0304260 | Janos Balog | J. Balog and A. Hegedus | TBA equations for excited states in the Sine-Gordon model | 30 pages, latex, minor changes | J.Phys.A37:1903-1925,2004 | 10.1088/0305-4470/37/5/028 | null | hep-th | null | We propose TBA integral equations for multiparticle soliton (fermion) states
in the Sine-Gordon (massive Thirring) model. This is based on T-system and
Y-system equations, which follow from the Bethe Ansatz solution in the
light-cone lattice formulation of the model. Even and odd charge sectors are
treated on an equal footing, corresponding to periodic and twisted boundary
conditions, respectively. The analytic properties of the Y-system functions are
conjectured on the basis of the large volume solution of the system, which we
find explicitly. A simple relation between the TBA Y-functions and the counting
function variable of the alternative non-linear integral equation
(Destri-deVega equation) description of the model is given.
| [
{
"created": "Wed, 30 Apr 2003 08:44:24 GMT",
"version": "v1"
},
{
"created": "Thu, 1 May 2003 13:04:20 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Sep 2003 10:06:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Balog",
"J.",
""
],
[
"Hegedus",
"A.",
""
]
] | We propose TBA integral equations for multiparticle soliton (fermion) states in the Sine-Gordon (massive Thirring) model. This is based on T-system and Y-system equations, which follow from the Bethe Ansatz solution in the light-cone lattice formulation of the model. Even and odd charge sectors are treated on an equal footing, corresponding to periodic and twisted boundary conditions, respectively. The analytic properties of the Y-system functions are conjectured on the basis of the large volume solution of the system, which we find explicitly. A simple relation between the TBA Y-functions and the counting function variable of the alternative non-linear integral equation (Destri-deVega equation) description of the model is given. |
hep-th/9309025 | Martin Bordemann | Martin Bordemann and Jens Hoppe | The Dynamics of Relativistic Membranes II: Nonlinear Waves and
Covariantly Reduced Membrane Equations | 10 pages, LATEX, FR-THEP-93-19 and KA-THEP-5-93 | Phys.Lett.B325:359-365,1994 | 10.1016/0370-2693(94)90025-6 | null | hep-th | null | By explicitly eliminating all gauge degrees of freedom in the $3+1$-gauge
description of a classical relativistic (open) membrane moving in $\Real^3$ we
derive a $2+1$-dimensional nonlinear wave equation of Born-Infeld type for the
graph $z(t,x,y)$ which is invariant under the Poincar\'e group in four
dimensions. Alternatively, we determine the world-volume of a membrane in a
covariant way by the zeroes of a scalar field $u(t,x,y,z)$ obeying a
homogeneous Poincar\'e-invariant nonlinear wave-equation. This approach also
gives a simple derivation of the nonlinear gas dynamic equation obtained in the
light-cone gauge.
| [
{
"created": "Fri, 3 Sep 1993 17:18:45 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Bordemann",
"Martin",
""
],
[
"Hoppe",
"Jens",
""
]
] | By explicitly eliminating all gauge degrees of freedom in the $3+1$-gauge description of a classical relativistic (open) membrane moving in $\Real^3$ we derive a $2+1$-dimensional nonlinear wave equation of Born-Infeld type for the graph $z(t,x,y)$ which is invariant under the Poincar\'e group in four dimensions. Alternatively, we determine the world-volume of a membrane in a covariant way by the zeroes of a scalar field $u(t,x,y,z)$ obeying a homogeneous Poincar\'e-invariant nonlinear wave-equation. This approach also gives a simple derivation of the nonlinear gas dynamic equation obtained in the light-cone gauge. |
1503.07447 | Kamal Lochan Panigrahi | Aritra Banerjee, Soumya Bhattacharya and Kamal L. Panigrahi | Spiky strings in $\varkappa$-deformed $AdS$ | 28 pages, minor changes, added references, version to appear in JHEP | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study rigidly rotating strings in $\varkappa$-deformed $AdS$ background.
We probe this classically integrable background with `spiky' strings and
analyze the string profiles in the large charge limit systematically. We also
discuss the dispersion relation among the conserved charges for these solutions
in long string limit.
| [
{
"created": "Wed, 25 Mar 2015 16:33:37 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Apr 2015 06:21:49 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2015 14:48:58 GMT",
"version": "v3"
}
] | 2015-05-08 | [
[
"Banerjee",
"Aritra",
""
],
[
"Bhattacharya",
"Soumya",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | We study rigidly rotating strings in $\varkappa$-deformed $AdS$ background. We probe this classically integrable background with `spiky' strings and analyze the string profiles in the large charge limit systematically. We also discuss the dispersion relation among the conserved charges for these solutions in long string limit. |
2308.11324 | Luca Buoninfante | Luca Buoninfante | Massless and Partially Massless Limits in Quadratic Gravity | 35 pages. V2: improved discussions, corrections in sec. 3.2, accepted
for publication in JHEP | null | null | NORDITA 2023-038 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In the context of perturbative quantum field theory, the addition of
quadratic-curvature invariants to the Einstein-Hilbert action makes it possible
to achieve strict renormalizability in four dimensions. The additional terms
$R^2$ and $C_{\mu\nu\rho\sigma} C^{\mu\nu\rho\sigma}$ are multiplied by
dimensionless coefficients that are related to the masses of the extra
gravitational degrees of freedom and to the interaction couplings. The aim of
this paper is to study the limit of the theory in which the Weyl-squared
coefficient tends to infinity. Remarkably, the result of this limit turns out
to be sensitive to the presence of a cosmological constant: when the latter is
zero we have a massless limit for the spin-2 ghost, while when the cosmological
constant is different from zero we obtain a partially massless limit. We show
that the renormalizability property and the ghost-like nature of the massive
spin-$2$ field ensure that the two limits do not hit strong couplings, unlike
standard ghost-free theories of massive gravity. In particular, in the
partially massless limit the interactions mediated by the spin-$2$ sector
vanish. We argue that our results can be useful for understanding the
high-energy limit of Quadratic Gravity.
| [
{
"created": "Tue, 22 Aug 2023 09:56:53 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Dec 2023 19:41:51 GMT",
"version": "v2"
}
] | 2023-12-12 | [
[
"Buoninfante",
"Luca",
""
]
] | In the context of perturbative quantum field theory, the addition of quadratic-curvature invariants to the Einstein-Hilbert action makes it possible to achieve strict renormalizability in four dimensions. The additional terms $R^2$ and $C_{\mu\nu\rho\sigma} C^{\mu\nu\rho\sigma}$ are multiplied by dimensionless coefficients that are related to the masses of the extra gravitational degrees of freedom and to the interaction couplings. The aim of this paper is to study the limit of the theory in which the Weyl-squared coefficient tends to infinity. Remarkably, the result of this limit turns out to be sensitive to the presence of a cosmological constant: when the latter is zero we have a massless limit for the spin-2 ghost, while when the cosmological constant is different from zero we obtain a partially massless limit. We show that the renormalizability property and the ghost-like nature of the massive spin-$2$ field ensure that the two limits do not hit strong couplings, unlike standard ghost-free theories of massive gravity. In particular, in the partially massless limit the interactions mediated by the spin-$2$ sector vanish. We argue that our results can be useful for understanding the high-energy limit of Quadratic Gravity. |
hep-th/0607018 | Radoslav Rashkov | N.P. Bobev and R.C. Rashkov | Multispin Giant Magnons | 16 pages, typos corrected, more comments included | Phys.Rev.D74:046011,2006 | 10.1103/PhysRevD.74.046011 | null | hep-th | null | We investigate giant magnons from classical rotating strings in two different
backgrounds. First we generalize the solution of Hofman and Maldacena and
investigate new magnon excitations of a spin chain which are dual to a string
on $R\times S^5$ with two non-vanishing angular momenta. Alowing string
dynamics along the third angle in the five sphere, we find a dispersion
relation that reproduces the Hofman and Maldacena and the one found by Dorey
for the two spin case. In the second part of the paper we generalize the two
"spin" giant magnon to the case of $\b$-deformed $\axs$ background. We find
agreement between the dispersion relation of the rotating string and the
proposed dispersion relation of the magnon bound state on the spin chain.
| [
{
"created": "Tue, 4 Jul 2006 07:12:19 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2006 05:19:55 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jul 2006 09:54:57 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bobev",
"N. P.",
""
],
[
"Rashkov",
"R. C.",
""
]
] | We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on $R\times S^5$ with two non-vanishing angular momenta. Alowing string dynamics along the third angle in the five sphere, we find a dispersion relation that reproduces the Hofman and Maldacena and the one found by Dorey for the two spin case. In the second part of the paper we generalize the two "spin" giant magnon to the case of $\b$-deformed $\axs$ background. We find agreement between the dispersion relation of the rotating string and the proposed dispersion relation of the magnon bound state on the spin chain. |
hep-th/0502231 | Arkady Kholodenko L. | Arkady L.Kholodenko | New Strings for Old Veneziano Amplitudes III. Symplectic Treatment | 48 pages J.Geom.Phys.(in press, available on line) | J.Geom.Phys. 56 (2006) 1433-1472 | 10.1016/j.geomphys.2005.09.007 | null | hep-th | null | A d-dimensional rational polytope P is a polytope whose vertices are located
at the nodes of d-dimensional Z-lattice. Consider a number of points inside the
inflated polytope (with coefficient of inflation k, k=1,2, 3...). The Ehrhart
polynomial of P counts the number of such lattice points (nodes) inside the
inflated P and (may be) at its faces (including vertices). In Part I
(hep-th/0410242) of our four parts work we noticed that the Veneziano amplitude
is just the Laplace transform of the generating function (considered as a
partition function in the sence of statistical mechanics) for the Ehrhart
polynomial for the regular inflated simplex obtained as a deformation retract
of the Fermat (hyper) surface living in complex projective space. This
observation is sufficient for development of new symplectic (this work) and
supersymmetric (hep-th/0411241)physical models reproducing the Veneziano (and
Veneziano-like) amplitudes. General ideas (e.g.those related to the properties
of Ehrhart polynomials) are illustrated by simple practical examples (e.g. use
of mirror symmetry for explanation of available experimental data on pion-pion
scattering) worked out in some detail. Obtained final results are in formal
accord with those earlier obtained by Vergne [PNAS 93 (1996) 14238].
| [
{
"created": "Sat, 26 Feb 2005 00:40:24 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2005 23:17:27 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Apr 2005 19:57:30 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Sep 2005 22:05:48 GMT",
"version": "v4"
},
{
"created": "Mon, 12 Dec 2005 23:53:21 GMT",
"version": "v5"
}
] | 2015-06-26 | [
[
"Kholodenko",
"Arkady L.",
""
]
] | A d-dimensional rational polytope P is a polytope whose vertices are located at the nodes of d-dimensional Z-lattice. Consider a number of points inside the inflated polytope (with coefficient of inflation k, k=1,2, 3...). The Ehrhart polynomial of P counts the number of such lattice points (nodes) inside the inflated P and (may be) at its faces (including vertices). In Part I (hep-th/0410242) of our four parts work we noticed that the Veneziano amplitude is just the Laplace transform of the generating function (considered as a partition function in the sence of statistical mechanics) for the Ehrhart polynomial for the regular inflated simplex obtained as a deformation retract of the Fermat (hyper) surface living in complex projective space. This observation is sufficient for development of new symplectic (this work) and supersymmetric (hep-th/0411241)physical models reproducing the Veneziano (and Veneziano-like) amplitudes. General ideas (e.g.those related to the properties of Ehrhart polynomials) are illustrated by simple practical examples (e.g. use of mirror symmetry for explanation of available experimental data on pion-pion scattering) worked out in some detail. Obtained final results are in formal accord with those earlier obtained by Vergne [PNAS 93 (1996) 14238]. |
1705.01969 | Philippe Sabella-Garnier | Philippe Sabella-Garnier | Time dependence of entanglement entropy on the fuzzy sphere | 1+14 pages, 8 figures v2: References added, matches published version | J. High Energ. Phys. (2017) 2017: 121 | 10.1007/JHEP08(2017)121 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically study the behaviour of entanglement entropy for a free scalar
field on the noncommutative ("fuzzy") sphere after a mass quench. It is known
that the entanglement entropy before a quench violates the usual area law due
to the non-local nature of the theory. By comparing our results to the ordinary
sphere, we find results that, despite this non-locality, are compatible with
entanglement being spread by ballistic propagation of entangled quasi-particles
at a speed no greater than the speed of light. However, we also find that, when
the pre-quench mass is much larger than the inverse of the short-distance
cutoff of the fuzzy sphere (a regime with no commutative analogue), the
entanglement entropy spreads faster than allowed by a local model.
| [
{
"created": "Thu, 4 May 2017 18:26:54 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 2017 12:01:17 GMT",
"version": "v2"
}
] | 2017-09-04 | [
[
"Sabella-Garnier",
"Philippe",
""
]
] | We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory. By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light. However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model. |
hep-th/0606115 | Babar Qureshi | Aiyalam P. Balachandran and Babar Ahmed Qureshi | Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane | This is a contribution to the Proc. of the O'Raifeartaigh Symposium
on Non-Perturbative and Symmetry Methods in Field Theory (June 2006,
Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 2:094,2006 | 10.3842/SIGMA.2006.094 | SU-4252-832 | hep-th | null | In this talk, we review the basics concepts of fuzzy physics and quantum
field theory on the Groenwald-Moyal Plane as examples of noncommutative spaces
in physics. We introduce the basic ideas, and discuss some important results in
these fields. In the end we outline some recent developments in the field.
| [
{
"created": "Wed, 14 Jun 2006 18:00:37 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2006 14:43:35 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Dec 2006 11:10:50 GMT",
"version": "v3"
}
] | 2008-12-19 | [
[
"Balachandran",
"Aiyalam P.",
""
],
[
"Qureshi",
"Babar Ahmed",
""
]
] | In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenwald-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important results in these fields. In the end we outline some recent developments in the field. |
hep-th/0304214 | Peter Weisz | J. Balog (Research Institute for Particle and Nuclear Physics,
Budapest), P. Weisz (Max-Planck-Institut, Munich) | Test of asymptotic freedom and scaling hypothesis in the 2d O(3) sigma
model | 14 pages, 3 figures, latex | Nucl.Phys. B668 (2003) 506-516 | 10.1016/S0550-3213(03)00572-8 | MPI-PhT/03-19 | hep-th | null | The 7--particle form factors of the fundamental spin field of the O(3)
nonlinear $\sigma$--model are constructed. We calculate the corresponding
contribution to the spin--spin correlation function, and compare with
predictions from the spectral density scaling hypothesis. The resulting
approximation to the spin--spin correlation function agrees well with that
computed in renormalized (asymptotically free) perturbation theory in the
expected energy range. Further we observe simple lower and upper bounds for the
sum of the absolute square of the form factors which may be of use for analytic
estimates.
| [
{
"created": "Fri, 25 Apr 2003 10:05:34 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Apr 2003 17:59:04 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Balog",
"J.",
"",
"Research Institute for Particle and Nuclear Physics,\n Budapest"
],
[
"Weisz",
"P.",
"",
"Max-Planck-Institut, Munich"
]
] | The 7--particle form factors of the fundamental spin field of the O(3) nonlinear $\sigma$--model are constructed. We calculate the corresponding contribution to the spin--spin correlation function, and compare with predictions from the spectral density scaling hypothesis. The resulting approximation to the spin--spin correlation function agrees well with that computed in renormalized (asymptotically free) perturbation theory in the expected energy range. Further we observe simple lower and upper bounds for the sum of the absolute square of the form factors which may be of use for analytic estimates. |
1103.3621 | Marc Henneaux | Claudio Bunster and Marc Henneaux | The Action for Twisted Self-Duality | Version to appear in Phys. Rev. D | Phys.Rev.D83:125015,2011 | 10.1103/PhysRevD.83.125015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One may write the Maxwell equations in terms of two gauge potentials, one
electric and one magnetic, by demanding that their field strengths should be
dual to each other. This requirement is the condition of twisted self-duality.
It can be extended to p-forms in spacetime of D dimensions, and it survives the
introduction of a variety of couplings among forms of different rank, and also
to spinor and scalar fields, which emerge naturally from supergravity. In this
paper we provide a systematic derivation of the action principle, whose
equations of motion are the condition of twisted self-duality. The derivation
starts from the standard Maxwell action, extended to include the aforementioned
couplings, and proceeds via the Hamiltonian formalism through the resolution of
Gauss' law. In the pure Maxwell case we recover in this way an action that had
been postulated by other authors, through an ansatz based on an action given
earlier by us for untwisted self-duality. Those authors also extended their
ansatz to include Chern-Simons couplings. In that case, we find a different
result. The derivation from the standard extended Maxwell action implies of
course that the theory is Lorentz-invariant and can be locally coupled to
gravity. Nevertherless we include a direct compact Hamiltonian proof of these
properties, which is based on the surface-deformation algebra. The symmetry in
the dependence of the action on the electric and magnetic variables is
manifest, since they appear as canonical conjugates. Spacetime covariance,
although present, is not manifest.
| [
{
"created": "Fri, 18 Mar 2011 13:32:24 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Apr 2011 14:38:04 GMT",
"version": "v2"
},
{
"created": "Thu, 19 May 2011 14:26:17 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Jun 2011 06:07:00 GMT",
"version": "v4"
}
] | 2011-07-01 | [
[
"Bunster",
"Claudio",
""
],
[
"Henneaux",
"Marc",
""
]
] | One may write the Maxwell equations in terms of two gauge potentials, one electric and one magnetic, by demanding that their field strengths should be dual to each other. This requirement is the condition of twisted self-duality. It can be extended to p-forms in spacetime of D dimensions, and it survives the introduction of a variety of couplings among forms of different rank, and also to spinor and scalar fields, which emerge naturally from supergravity. In this paper we provide a systematic derivation of the action principle, whose equations of motion are the condition of twisted self-duality. The derivation starts from the standard Maxwell action, extended to include the aforementioned couplings, and proceeds via the Hamiltonian formalism through the resolution of Gauss' law. In the pure Maxwell case we recover in this way an action that had been postulated by other authors, through an ansatz based on an action given earlier by us for untwisted self-duality. Those authors also extended their ansatz to include Chern-Simons couplings. In that case, we find a different result. The derivation from the standard extended Maxwell action implies of course that the theory is Lorentz-invariant and can be locally coupled to gravity. Nevertherless we include a direct compact Hamiltonian proof of these properties, which is based on the surface-deformation algebra. The symmetry in the dependence of the action on the electric and magnetic variables is manifest, since they appear as canonical conjugates. Spacetime covariance, although present, is not manifest. |
hep-th/9401114 | Tom H. Koornwinder | Tom H. Koornwinder | General compact quantum groups, a tutorial | 33 pages | Representations of Lie groups and quantum groups, V. Baldoni & M.
A. Picardello (eds.), Pitman Research Notes in Mathematics Series 311,
Longman Scientific & Technical, 1994, pp. 46--128 | null | Univ. Amsterdam Math. 94-06 | hep-th math.OA math.QA | null | A tutorial introduction is given to general Hopf algebras and to general
compact quantum groups. In the definition and further treatment of compact
quantum groups C*-algebras are avoided. Contact with Woronowicz's compact
matrix quantum groups is made at a later stage.
| [
{
"created": "Mon, 24 Jan 1994 13:05:57 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Koornwinder",
"Tom H.",
""
]
] | A tutorial introduction is given to general Hopf algebras and to general compact quantum groups. In the definition and further treatment of compact quantum groups C*-algebras are avoided. Contact with Woronowicz's compact matrix quantum groups is made at a later stage. |
0906.4194 | Tao Zhu | Tao Zhu, Ji-Rong Ren, Ming-Fan Li | Corrected entropy of high dimensional black holes | 4 pages, 1 table, no figure, any comments are welcome! v2: 5 pages,
some mistakes corrected | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the corrected expression of Hawking temperature derived from the
tunneling formalism beyond semiclassical approximation developed by
\emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected
entropy of a high dimensional Schwarzschild black hole and a 5-dimensional
Gauss-Bonnet (GB) black hole. It is shown that the corrected entropy for this
two kinds of black hole are in agreement with the corrected entropy formula
(\ref{entropy of apparent horiozn}) that derived from tunneling method for a
$(n+1)$-dimensional Friedmann-Robertson-Walker (FRW) universe\cite{FRW}. This
feature strongly suggests deep universality of the corrected entropy formula
(\ref{entropy of apparent horiozn}), which may not depend on the dimensions of
spacetime and gravity theories. In addition, the leading order correction of
corrected entropy formula always appears as the logarithmic of the
semiclassical entropy, rather than the logarithmic of the area of black hole
horizon, this might imply that the logarithmic of the semiclassical entropy is
more appropriate for quantum correction than the logarithmic of the area.
| [
{
"created": "Tue, 23 Jun 2009 08:49:21 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2009 02:00:08 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zhu",
"Tao",
""
],
[
"Ren",
"Ji-Rong",
""
],
[
"Li",
"Ming-Fan",
""
]
] | Using the corrected expression of Hawking temperature derived from the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected entropy of a high dimensional Schwarzschild black hole and a 5-dimensional Gauss-Bonnet (GB) black hole. It is shown that the corrected entropy for this two kinds of black hole are in agreement with the corrected entropy formula (\ref{entropy of apparent horiozn}) that derived from tunneling method for a $(n+1)$-dimensional Friedmann-Robertson-Walker (FRW) universe\cite{FRW}. This feature strongly suggests deep universality of the corrected entropy formula (\ref{entropy of apparent horiozn}), which may not depend on the dimensions of spacetime and gravity theories. In addition, the leading order correction of corrected entropy formula always appears as the logarithmic of the semiclassical entropy, rather than the logarithmic of the area of black hole horizon, this might imply that the logarithmic of the semiclassical entropy is more appropriate for quantum correction than the logarithmic of the area. |
1207.2070 | Mattia Cipriani | Mattia Cipriani, Toshiaki Fujimori | Effective Action of Non-Abelian Monopole-Vortex Complex | 23 pages, 2 figures | null | null | IFUP-TH/2012-13 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct effective actions for non-Abelian 1/4
Bogomol'nyi-Prasad-Sommerfield (BPS) monopole-vortex complexes in 4d N = 2
supersymmetric gauge theories with gauge groups U(N), U(1) \times SO(2n) and
U(1) \times USp(2n). In the color-flavor locked vacuum with degenerate
hypermultiplet masses, a subgroup of the color-flavor diagonal symmetry remains
unbroken and gives internal orientational moduli to vortices which confine
monopoles in the Higgs phase. In this paper we discuss the effective action
which describes the interactions between monopoles and the orientational moduli
of non-Abelian vortices both from the bulk and vortex worldsheet theories. In
the large mass limit, we find that the effective action consists of
two-dimensional non-linear sigma models on vortex worldsheets and boundary
terms which describes monopole-vortex interactions.
| [
{
"created": "Mon, 9 Jul 2012 15:06:34 GMT",
"version": "v1"
}
] | 2012-07-10 | [
[
"Cipriani",
"Mattia",
""
],
[
"Fujimori",
"Toshiaki",
""
]
] | We construct effective actions for non-Abelian 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) monopole-vortex complexes in 4d N = 2 supersymmetric gauge theories with gauge groups U(N), U(1) \times SO(2n) and U(1) \times USp(2n). In the color-flavor locked vacuum with degenerate hypermultiplet masses, a subgroup of the color-flavor diagonal symmetry remains unbroken and gives internal orientational moduli to vortices which confine monopoles in the Higgs phase. In this paper we discuss the effective action which describes the interactions between monopoles and the orientational moduli of non-Abelian vortices both from the bulk and vortex worldsheet theories. In the large mass limit, we find that the effective action consists of two-dimensional non-linear sigma models on vortex worldsheets and boundary terms which describes monopole-vortex interactions. |
1506.01187 | Roee Steiner | Eduardo. I. Guendelman, Roee Steiner | Consistent gauge interaction involving dynamical coupling and anomalous
current | arXiv admin note: substantial text overlap with arXiv:1406.1316,
arXiv:1311.2536 | null | 10.1142/S0217751X15501778 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show a possible way to construct a consistent formalism where the
effective electric charge can change with space and time without destroying the
invariance. In the previous work [1][2] we took the gauge coupling to be of the
form $g(\phi)j_\mu (A^{\mu} +\partial^{\mu}B)$ where $B$ is an auxiliary field,
$ \phi $ is a scalar field and the current $j_\mu$ is the Dirac current. This
term produces a constraint $ (\partial_{\mu}\phi) j^{\mu}=0 $ which can be
related to M.I.T bag model by boundary condition. In this paper we show that
when we use the term $ g(\phi)j_{\mu}(A^{\mu} -
\partial^{\mu}(\frac{1}{\square}\partial_{\rho}A^{\rho})) $, instead of the
auxiliary field $ B $, there is a possibility to produce a theory with
dynamical coupling constant, which does not produce any constraint or
confinement. The coupling $ j_{\mu}^{A}(A^{\mu} -
\partial^{\mu}(\frac{1}{\square}\partial_{\rho}A^{\rho})) $ where $ j_{\mu}^{A}
$ is an anomalous current also discussed.
| [
{
"created": "Wed, 3 Jun 2015 10:06:48 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Guendelman",
"Eduardo. I.",
""
],
[
"Steiner",
"Roee",
""
]
] | We show a possible way to construct a consistent formalism where the effective electric charge can change with space and time without destroying the invariance. In the previous work [1][2] we took the gauge coupling to be of the form $g(\phi)j_\mu (A^{\mu} +\partial^{\mu}B)$ where $B$ is an auxiliary field, $ \phi $ is a scalar field and the current $j_\mu$ is the Dirac current. This term produces a constraint $ (\partial_{\mu}\phi) j^{\mu}=0 $ which can be related to M.I.T bag model by boundary condition. In this paper we show that when we use the term $ g(\phi)j_{\mu}(A^{\mu} - \partial^{\mu}(\frac{1}{\square}\partial_{\rho}A^{\rho})) $, instead of the auxiliary field $ B $, there is a possibility to produce a theory with dynamical coupling constant, which does not produce any constraint or confinement. The coupling $ j_{\mu}^{A}(A^{\mu} - \partial^{\mu}(\frac{1}{\square}\partial_{\rho}A^{\rho})) $ where $ j_{\mu}^{A} $ is an anomalous current also discussed. |
hep-th/0501001 | Mahdi Torabian | M. M. Sheikh-Jabbari, M. Torabian | Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix
Theory | 40 pages, 12 figures, v2 | JHEP 0504:001,2005 | 10.1088/1126-6708/2005/04/001 | IPM/P-2004/075 | hep-th | null | The tiny graviton matrix theory [hep-th/0406214] is proposed to describe DLCQ
of type IIB string theory on the maximally supersymmetric plane-wave or
AdS_5xS^5 background. In this paper we provide further evidence in support of
the tiny graviton conjecture by focusing on the zero energy, half BPS
configurations of this matrix theory and classify all of them. These vacua are
generically of the form of various three sphere giant gravitons. We clarify the
connection between our solutions and the half BPS configuration in N=4 SYM
theory and their gravity duals. Moreover, using our half BPS solutions, we show
how the tiny graviton Matrix theory and the mass deformed D=3, N=8
superconformal field theories are related to each other.
| [
{
"created": "Fri, 31 Dec 2004 21:00:22 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Apr 2005 04:46:42 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Torabian",
"M.",
""
]
] | The tiny graviton matrix theory [hep-th/0406214] is proposed to describe DLCQ of type IIB string theory on the maximally supersymmetric plane-wave or AdS_5xS^5 background. In this paper we provide further evidence in support of the tiny graviton conjecture by focusing on the zero energy, half BPS configurations of this matrix theory and classify all of them. These vacua are generically of the form of various three sphere giant gravitons. We clarify the connection between our solutions and the half BPS configuration in N=4 SYM theory and their gravity duals. Moreover, using our half BPS solutions, we show how the tiny graviton Matrix theory and the mass deformed D=3, N=8 superconformal field theories are related to each other. |
2306.14959 | Matteo Zatti | Gonzalo F. Casas, Fernando Marchesano, Matteo Zatti | Torsion in cohomology and dimensional reduction | 44 pages + appendices. V2: References added. Domain wall solution in
section 4 reinterpreted | null | null | IFT-UAM/CSIC-23-77 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Conventional wisdom dictates that $\mathbb{Z}_N$ factors in the integral
cohomology group $H^p(X_n, \mathbb{Z})$ of a compact manifold $X_n$ cannot be
computed via smooth $p$-forms. We revisit this lore in light of the dimensional
reduction of string theory on $X_n$, endowed with a $G$-structure metric that
leads to a supersymmetric EFT. If massive $p$-form eigenmodes of the Laplacian
enter the EFT, then torsion cycles coupling to them will have a non-trivial
smeared delta form, that is an EFT long-wavelength description of $p$-form
currents of the $(n-p)$-cycles of $X_n$. We conjecture that, whenever torsion
cycles are calibrated, their linking number can be computed via their smeared
delta forms. From the EFT viewpoint, a torsion factor in cohomology corresponds
to a $\mathbb{Z}_N$ gauge symmetry realised by a St\"uckelberg-like action, and
calibrated torsion cycles to BPS objects that source the massive fields
involved in it.
| [
{
"created": "Mon, 26 Jun 2023 18:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2023 15:45:45 GMT",
"version": "v2"
}
] | 2023-07-19 | [
[
"Casas",
"Gonzalo F.",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Zatti",
"Matteo",
""
]
] | Conventional wisdom dictates that $\mathbb{Z}_N$ factors in the integral cohomology group $H^p(X_n, \mathbb{Z})$ of a compact manifold $X_n$ cannot be computed via smooth $p$-forms. We revisit this lore in light of the dimensional reduction of string theory on $X_n$, endowed with a $G$-structure metric that leads to a supersymmetric EFT. If massive $p$-form eigenmodes of the Laplacian enter the EFT, then torsion cycles coupling to them will have a non-trivial smeared delta form, that is an EFT long-wavelength description of $p$-form currents of the $(n-p)$-cycles of $X_n$. We conjecture that, whenever torsion cycles are calibrated, their linking number can be computed via their smeared delta forms. From the EFT viewpoint, a torsion factor in cohomology corresponds to a $\mathbb{Z}_N$ gauge symmetry realised by a St\"uckelberg-like action, and calibrated torsion cycles to BPS objects that source the massive fields involved in it. |
1005.2367 | Suvankar Dutta | Nabamita Banerjee and Suvankar Dutta | Nonlinear Hydrodynamics from Flow of Retarded Green's Function | Version 2, reference added, typos corrected | JHEP 1008:041,2010 | 10.1007/JHEP08(2010)041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the radial flow of retarded Green's function of energy-momentum
tensor and $R$-current of dual gauge theory in presence of generic higher
derivative terms in bulk Lagrangian. These are first order non-linear Riccati
equations. We solve these flow equations analytically and obtain second order
transport coefficients of boundary plasma. This way of computing transport
coefficients has an advantage over usual Kubo approach. The non-linear equation
turns out to be a linear first order equation when we study the Green's
function perturbatively in momentum. We consider several examples including
$Weyl^4$ term and generic four derivative terms in bulk. We also study the flow
equations for $R$-charged black holes and obtain exact expressions for second
order transport coefficients for dual plasma in presence of arbitrary chemical
potentials. Finally we obtain higher derivative corrections to second order
transport coefficients of boundary theory dual to five dimensional gauge
supergravity.
| [
{
"created": "Thu, 13 May 2010 16:06:08 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2010 14:52:05 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Dutta",
"Suvankar",
""
]
] | We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We solve these flow equations analytically and obtain second order transport coefficients of boundary plasma. This way of computing transport coefficients has an advantage over usual Kubo approach. The non-linear equation turns out to be a linear first order equation when we study the Green's function perturbatively in momentum. We consider several examples including $Weyl^4$ term and generic four derivative terms in bulk. We also study the flow equations for $R$-charged black holes and obtain exact expressions for second order transport coefficients for dual plasma in presence of arbitrary chemical potentials. Finally we obtain higher derivative corrections to second order transport coefficients of boundary theory dual to five dimensional gauge supergravity. |
1309.0223 | Chuang Sun | Yang-Hui He, Seung-Joo Lee, Andre Lukas, Chuang Sun | Heterotic Model Building: 16 Special Manifolds | Revised version 2, with comments added | null | 10.1007/JHEP06(2014)077 | KIAS-P13050 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study heterotic model building on 16 specific Calabi-Yau manifolds
constructed as hypersurfaces in toric four-folds. These 16 manifolds are the
only ones among the more than half a billion manifolds in the Kreuzer-Skarke
list with a non-trivial first fundamental group. We classify the line bundle
models on these manifolds, both for SU(5) and SO(10) GUTs, which lead to
consistent supersymmetric string vacua and have three chiral families. A total
of about 29000 models is found, most of them corresponding to SO(10) GUTs.
These models constitute a starting point for detailed heterotic model building
on Calabi-Yau manifolds in the Kreuzer-Skarke list. The data for these models
can be downloaded here:
http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/toricdata/index.html
| [
{
"created": "Sun, 1 Sep 2013 14:13:08 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Apr 2014 10:32:35 GMT",
"version": "v2"
},
{
"created": "Tue, 13 May 2014 13:08:22 GMT",
"version": "v3"
}
] | 2015-06-17 | [
[
"He",
"Yang-Hui",
""
],
[
"Lee",
"Seung-Joo",
""
],
[
"Lukas",
"Andre",
""
],
[
"Sun",
"Chuang",
""
]
] | We study heterotic model building on 16 specific Calabi-Yau manifolds constructed as hypersurfaces in toric four-folds. These 16 manifolds are the only ones among the more than half a billion manifolds in the Kreuzer-Skarke list with a non-trivial first fundamental group. We classify the line bundle models on these manifolds, both for SU(5) and SO(10) GUTs, which lead to consistent supersymmetric string vacua and have three chiral families. A total of about 29000 models is found, most of them corresponding to SO(10) GUTs. These models constitute a starting point for detailed heterotic model building on Calabi-Yau manifolds in the Kreuzer-Skarke list. The data for these models can be downloaded here: http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/toricdata/index.html |
1206.5877 | Dario Francia | Andrea Campoleoni and Dario Francia | Maxwell-like Lagrangians for higher spins | 77 pages, revised version. Erroneous interpretation and proof of the
gauge-fixing procedure for mixed-symmetry fields corrected. As a consequence,
the mixed-symmetry, one-particle Lagrangians are to be complemented with
conditions on the divergences of the fields; all other conclusions unchanged.
Additional minor changes including references added. To appear in JHEP | null | 10.1007/JHEP03(2013)168 | AEI-2012-056 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how implementing invariance under divergence-free gauge
transformations leads to a remarkably simple Lagrangian description of massless
bosons of any spin. Our construction covers both flat and (A)dS backgrounds and
extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless
fields produce single-particle actions, while whenever trace constraints can be
dispensed with the resulting Lagrangians display the same reducible,
multi-particle spectra as those emerging from the tensionless limit of free
open-string field theory. For all explored options the corresponding kinetic
operators take essentially the same form as in the spin-one, Maxwell case.
| [
{
"created": "Tue, 26 Jun 2012 03:01:18 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 2013 12:03:55 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Campoleoni",
"Andrea",
""
],
[
"Francia",
"Dario",
""
]
] | We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless fields produce single-particle actions, while whenever trace constraints can be dispensed with the resulting Lagrangians display the same reducible, multi-particle spectra as those emerging from the tensionless limit of free open-string field theory. For all explored options the corresponding kinetic operators take essentially the same form as in the spin-one, Maxwell case. |
2308.12592 | Shinichiro Yahagi | Kohki Kawabata and Shinichiro Yahagi | Elliptic genera from classical error-correcting codes | 45 pages, v2: minor modifications, published version | null | null | OU-HET-1200 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider chiral fermionic conformal field theories constructed from
classical error-correcting codes and provide a systematic way of computing
their elliptic genera. We exploit the $\mathrm{U}(1)$ current of the
$\mathcal{N}=2$ superconformal algebra to obtain the $\mathrm{U}(1)$-graded
partition function that is invariant under the modular transformation and the
spectral flow. We demonstrate our method by constructing extremal
$\mathcal{N}=2$ elliptic genera from classical codes for relatively small
central charges. Also, we give near-extremal elliptic genera and decompose them
into $\mathcal{N}=2$ superconformal characters.
| [
{
"created": "Thu, 24 Aug 2023 06:42:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2024 04:40:30 GMT",
"version": "v2"
}
] | 2024-01-12 | [
[
"Kawabata",
"Kohki",
""
],
[
"Yahagi",
"Shinichiro",
""
]
] | We consider chiral fermionic conformal field theories constructed from classical error-correcting codes and provide a systematic way of computing their elliptic genera. We exploit the $\mathrm{U}(1)$ current of the $\mathcal{N}=2$ superconformal algebra to obtain the $\mathrm{U}(1)$-graded partition function that is invariant under the modular transformation and the spectral flow. We demonstrate our method by constructing extremal $\mathcal{N}=2$ elliptic genera from classical codes for relatively small central charges. Also, we give near-extremal elliptic genera and decompose them into $\mathcal{N}=2$ superconformal characters. |
0812.0097 | Richard S. Garavuso | Richard S. Garavuso, Maximilian Kreuzer, Alexander Noll | Fano hypersurfaces and Calabi-Yau supermanifolds | 24 pages, uses JHEP3.cls; v2: minor corrections, references added | JHEP 0903:007,2009 | 10.1088/1126-6708/2009/03/007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the geometrical interpretations associated with
Sethi's proposed general correspondence between N = 2 Landau-Ginzburg orbifolds
with integral \hat{c} and N = 2 nonlinear sigma models. We focus on the
supervarieties associated with \hat{c} = 3 Gepner models. In the process, we
test a conjecture regarding the superdimension of the singular locus of these
supervarieties. The supervarieties are defined by a hypersurface \widetilde{W}
= 0 in a weighted superprojective space and have vanishing super-first Chern
class. Here, \widetilde{W} is the modified superpotential obtained by adding as
necessary to the Gepner superpotential a boson mass term and/or fermion
bilinears so that the superdimension of the supervariety is equal to \hat{c}.
When Sethi's proposal calls for adding fermion bilinears, setting the bosonic
part of \widetilde{W} (denoted by \widetilde{W}_{bos}) equal to zero defines a
Fano hypersurface embedded in a weighted projective space. In this case, if the
Newton polytope of \widetilde{W}_{bos} admits a nef partition, then the
Landau-Ginzburg orbifold can be given a geometrical interpretation as a
nonlinear sigma model on a complete intersection Calabi-Yau manifold. The
complete intersection Calabi-Yau manifold should be equivalent to the
Calabi-Yau supermanifold prescribed by Sethi's proposal.
| [
{
"created": "Sat, 29 Nov 2008 18:38:15 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 14:25:15 GMT",
"version": "v2"
}
] | 2009-03-27 | [
[
"Garavuso",
"Richard S.",
""
],
[
"Kreuzer",
"Maximilian",
""
],
[
"Noll",
"Alexander",
""
]
] | In this paper, we study the geometrical interpretations associated with Sethi's proposed general correspondence between N = 2 Landau-Ginzburg orbifolds with integral \hat{c} and N = 2 nonlinear sigma models. We focus on the supervarieties associated with \hat{c} = 3 Gepner models. In the process, we test a conjecture regarding the superdimension of the singular locus of these supervarieties. The supervarieties are defined by a hypersurface \widetilde{W} = 0 in a weighted superprojective space and have vanishing super-first Chern class. Here, \widetilde{W} is the modified superpotential obtained by adding as necessary to the Gepner superpotential a boson mass term and/or fermion bilinears so that the superdimension of the supervariety is equal to \hat{c}. When Sethi's proposal calls for adding fermion bilinears, setting the bosonic part of \widetilde{W} (denoted by \widetilde{W}_{bos}) equal to zero defines a Fano hypersurface embedded in a weighted projective space. In this case, if the Newton polytope of \widetilde{W}_{bos} admits a nef partition, then the Landau-Ginzburg orbifold can be given a geometrical interpretation as a nonlinear sigma model on a complete intersection Calabi-Yau manifold. The complete intersection Calabi-Yau manifold should be equivalent to the Calabi-Yau supermanifold prescribed by Sethi's proposal. |
0801.4737 | Je-An Gu | Je-an Gu | Automatic Control over the Cosmological Constant through Non-minimal
Phantom and Quintessence | 5 pages, 3 tables, LaTeX | null | null | null | hep-th | null | A mechanism to control the cosmological constant through a scalar field
non-minimally coupled to gravity is proposed. By utilizing non-minimal phantom
or quintessence, the cosmological constant, which may be large originally, can
be automatically driven to a value on the scale of the mass parameter in the
phantom/quintessence potential V(phi). The reduction of a large cosmological
constant involves the weakening of gravity that therefore may be much stronger
initially. There exist the cases where originally gravity is on the TeV scale
so that the hierarchy between gravity and three gauge interactions in the
standard model of particle physics is bridged at the beginning. Although the
cosmological constant can be automatically tuned or largely reduced under this
mechanism, its energy density may still remain on the same order of magnitude
as the original one. Thus, explaining the smallness of the
observation-suggested cosmological constant energy density is still a difficult
mission yet to be completed.
| [
{
"created": "Wed, 30 Jan 2008 19:00:35 GMT",
"version": "v1"
}
] | 2008-01-31 | [
[
"Gu",
"Je-an",
""
]
] | A mechanism to control the cosmological constant through a scalar field non-minimally coupled to gravity is proposed. By utilizing non-minimal phantom or quintessence, the cosmological constant, which may be large originally, can be automatically driven to a value on the scale of the mass parameter in the phantom/quintessence potential V(phi). The reduction of a large cosmological constant involves the weakening of gravity that therefore may be much stronger initially. There exist the cases where originally gravity is on the TeV scale so that the hierarchy between gravity and three gauge interactions in the standard model of particle physics is bridged at the beginning. Although the cosmological constant can be automatically tuned or largely reduced under this mechanism, its energy density may still remain on the same order of magnitude as the original one. Thus, explaining the smallness of the observation-suggested cosmological constant energy density is still a difficult mission yet to be completed. |
hep-th/0605060 | Ol'khov | O. A. Ol'khov | Geometrization of some quantum mechanics formalism | 9 pages | null | 10.1088/1742-6596/67/1/012037 | null | hep-th quant-ph | null | There were many attempts to geometrize electromagnetic field and find out new
interpretation for quantum mechanics formalism. The distinctive feature of this
work is that it combines geometrization of electromagnetic field and
geometrization of material field within the unique topological idea. According
to the suggested topological interpretation, the Dirac equations for a free
particle and for a hydrogen atom prove to be the group--theoretical relations
that account for the symmetry properties of localized microscopic deviations of
the space--time geometry from the pseudoeuclidean one (closed topological
4-manifolds). These equations happen to be written in universal covering spaces
of the above manifolds. It is shown that "long derivatives" in Dirac equation
for a hydrogen atom can be considered as covariant derivatives of spinors in
the Weyl noneuclidean 4-space and that electromagnetic potentials can be
considered as connectivities in this space. The gauge invariance of
electromagnetic field proves to be a natural consequence of the basic
principles of the proposed geometrical interpretation. Within the suggested
concept, atoms have no inside any point-like particles (electrons) and this can
give an opportunity to overcome the difficulties of atomic physics connected
with the many-body problem.
| [
{
"created": "Fri, 5 May 2006 09:46:03 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Ol'khov",
"O. A.",
""
]
] | There were many attempts to geometrize electromagnetic field and find out new interpretation for quantum mechanics formalism. The distinctive feature of this work is that it combines geometrization of electromagnetic field and geometrization of material field within the unique topological idea. According to the suggested topological interpretation, the Dirac equations for a free particle and for a hydrogen atom prove to be the group--theoretical relations that account for the symmetry properties of localized microscopic deviations of the space--time geometry from the pseudoeuclidean one (closed topological 4-manifolds). These equations happen to be written in universal covering spaces of the above manifolds. It is shown that "long derivatives" in Dirac equation for a hydrogen atom can be considered as covariant derivatives of spinors in the Weyl noneuclidean 4-space and that electromagnetic potentials can be considered as connectivities in this space. The gauge invariance of electromagnetic field proves to be a natural consequence of the basic principles of the proposed geometrical interpretation. Within the suggested concept, atoms have no inside any point-like particles (electrons) and this can give an opportunity to overcome the difficulties of atomic physics connected with the many-body problem. |
1409.7361 | Takeshi Morita | Sumit R. Das and Takeshi Morita | Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction | 25 pages; v2 minor corrections; v3 minor corrections, to appear in
JHEP | null | 10.1007/JHEP01(2015)084 | UK/14-05 | hep-th cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study gauge and gravity backreaction in a holographic model of quantum
quench across a superfluid critical transition. The model involves a complex
scalar field coupled to a gauge and gravity field in the bulk. In earlier work
(arXiv:1211.1776) the scalar field had a strong self-coupling, in which case
the backreaction on both the metric and the gauge field can be ignored. In this
approximation, it was shown that when a time dependent source for the order
parameter drives the system across the critical point at a rate slow compared
to the initial gap, the dynamics in the critical region is dominated by a zero
mode of the bulk scalar, leading to a Kibble-Zurek type scaling function. We
show that this mechanism for emergence of scaling behavior continues to hold
without any self-coupling in the presence of backreaction of gauge field and
gravity. Even though there are no zero modes for the metric and the gauge
field, the scalar dynamics induces adiabaticity breakdown leading to scaling.
This yields scaling behavior for the time dependence of the charge density and
energy momentum tensor.
| [
{
"created": "Thu, 25 Sep 2014 18:41:53 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 17:17:54 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jan 2015 13:03:06 GMT",
"version": "v3"
}
] | 2015-06-23 | [
[
"Das",
"Sumit R.",
""
],
[
"Morita",
"Takeshi",
""
]
] | We study gauge and gravity backreaction in a holographic model of quantum quench across a superfluid critical transition. The model involves a complex scalar field coupled to a gauge and gravity field in the bulk. In earlier work (arXiv:1211.1776) the scalar field had a strong self-coupling, in which case the backreaction on both the metric and the gauge field can be ignored. In this approximation, it was shown that when a time dependent source for the order parameter drives the system across the critical point at a rate slow compared to the initial gap, the dynamics in the critical region is dominated by a zero mode of the bulk scalar, leading to a Kibble-Zurek type scaling function. We show that this mechanism for emergence of scaling behavior continues to hold without any self-coupling in the presence of backreaction of gauge field and gravity. Even though there are no zero modes for the metric and the gauge field, the scalar dynamics induces adiabaticity breakdown leading to scaling. This yields scaling behavior for the time dependence of the charge density and energy momentum tensor. |
hep-th/0403134 | Rong-Gen Cai | Rong-Gen Cai | A Note on Curvature Fluctuation of Noncommutative Inflation | Latex, 13 pages, v2: minor changes, two references added, to appear
in PLB | Phys.Lett. B593 (2004) 1-9 | 10.1016/j.physletb.2004.04.078 | null | hep-th astro-ph gr-qc | null | An elegant approach, which incorporates the effect of the stringy spacetime
uncertainty relation, to calculate power spectra of fluctuations during
inflation has been suggested by Brandenberger and Ho. In this approach, one of
important features is the appearance of an upper bound on the comoving momentum
$k$, at which the stringy spacetime uncertainty relation is saturated. As a
result, the time-dependent upper bound leads us to choose naturally a set of
initial vacua for each mode, in which the stringy uncertainty relation is
saturated. In this note, with that set of vacua we calculate power spectrum of
curvature fluctuation for a power law inflation, up to the leading order of a
parameter describing the spacetime noncommutativity. It turns out that this
choice of initial vacuum has a significant effect on the power spectrum of
fluctuations.
| [
{
"created": "Sat, 13 Mar 2004 14:33:53 GMT",
"version": "v1"
},
{
"created": "Fri, 14 May 2004 15:58:38 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cai",
"Rong-Gen",
""
]
] | An elegant approach, which incorporates the effect of the stringy spacetime uncertainty relation, to calculate power spectra of fluctuations during inflation has been suggested by Brandenberger and Ho. In this approach, one of important features is the appearance of an upper bound on the comoving momentum $k$, at which the stringy spacetime uncertainty relation is saturated. As a result, the time-dependent upper bound leads us to choose naturally a set of initial vacua for each mode, in which the stringy uncertainty relation is saturated. In this note, with that set of vacua we calculate power spectrum of curvature fluctuation for a power law inflation, up to the leading order of a parameter describing the spacetime noncommutativity. It turns out that this choice of initial vacuum has a significant effect on the power spectrum of fluctuations. |
2209.01394 | Sang-Heon Yi | Dongsu Bak, Chanju Kim, Sang-Heon Yi | Structure of deformations in Jackiw-Teitelboim black holes with matter | 1+20 pages, 2 figure, v2: minor changes, ref.s added | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We consider Jackiw-Teitelboim gravity with a massless matter field and turn
on bulk excitations leading to a nontrivial vev of the corresponding dual
boundary operator. To leading order, we realize the corresponding deformation
of thermofield double state by explicitly identifying their Hilbert space. The
deformed state can be prepared with an operator insertion at the mid-point of
the Euclidean time evolution in the context of Hartle-Hawking construction. We
show that the inserted operators form an SL(2,{\bf R}) representation. We
construct a specific orthonormal basis that is directly related to the operator
basis of the vev deformations. If we include the higher order corrections, the
bulk geometry is no longer left-right symmetric. We argue that, classically,
the mode coefficients in the bulk deformation cannot be fully recovered from
the data collected along the boundary cutoff
trajectories. Then the bulk seems to contain more information than the cutoff
boundary, and this might be responsible for nontrivial behind-horizon degrees
of freedom.
| [
{
"created": "Sat, 3 Sep 2022 10:50:35 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2023 06:05:39 GMT",
"version": "v2"
}
] | 2023-06-13 | [
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Chanju",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We consider Jackiw-Teitelboim gravity with a massless matter field and turn on bulk excitations leading to a nontrivial vev of the corresponding dual boundary operator. To leading order, we realize the corresponding deformation of thermofield double state by explicitly identifying their Hilbert space. The deformed state can be prepared with an operator insertion at the mid-point of the Euclidean time evolution in the context of Hartle-Hawking construction. We show that the inserted operators form an SL(2,{\bf R}) representation. We construct a specific orthonormal basis that is directly related to the operator basis of the vev deformations. If we include the higher order corrections, the bulk geometry is no longer left-right symmetric. We argue that, classically, the mode coefficients in the bulk deformation cannot be fully recovered from the data collected along the boundary cutoff trajectories. Then the bulk seems to contain more information than the cutoff boundary, and this might be responsible for nontrivial behind-horizon degrees of freedom. |
hep-th/0308174 | Marija Zamaklar | Gor Sarkissian and Marija Zamaklar | Diagonal D-branes in product spaces and their Penrose limits | 28 pages; v2: added reference and minor corrections | JHEP 0403:005,2004 | 10.1088/1126-6708/2004/03/005 | null | hep-th | null | We study classes of D-branes embedded in various AdS^m x S^n x S^p x T^q
backgrounds, which nontrivially mix the target-space submanifolds. Mixing is
achieved either via diagonal geometric embedding or through a mixed worldvolume
flux which has one index in the sphere and one index in the AdS part. Branes of
the former type wrap calibrated cycles in the target space, while those of the
latter type wrap non-supersymmetric target space cycles which are stabilised
only after the mixed worldvolume flux is turned on. In the second part of the
paper we study two qualitatively different Penrose limits of these diagonal
branes. In the first case we look at geodesics which do not belong to the
worldvolume of brane. In order to get a nontrivial result, one needs to bring
the brane closer and closer to the geodesic while taking the limit. The result
is a D-brane with a worldvolume relativistic pulse. In the second case the
Penrose geodesic belongs to the worldvolume and the resulting brane is of the
``oblique'' type: it is diagonally embedded between different SO groups of the
target space pp-wave.
| [
{
"created": "Tue, 26 Aug 2003 17:28:59 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2004 17:21:41 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Sarkissian",
"Gor",
""
],
[
"Zamaklar",
"Marija",
""
]
] | We study classes of D-branes embedded in various AdS^m x S^n x S^p x T^q backgrounds, which nontrivially mix the target-space submanifolds. Mixing is achieved either via diagonal geometric embedding or through a mixed worldvolume flux which has one index in the sphere and one index in the AdS part. Branes of the former type wrap calibrated cycles in the target space, while those of the latter type wrap non-supersymmetric target space cycles which are stabilised only after the mixed worldvolume flux is turned on. In the second part of the paper we study two qualitatively different Penrose limits of these diagonal branes. In the first case we look at geodesics which do not belong to the worldvolume of brane. In order to get a nontrivial result, one needs to bring the brane closer and closer to the geodesic while taking the limit. The result is a D-brane with a worldvolume relativistic pulse. In the second case the Penrose geodesic belongs to the worldvolume and the resulting brane is of the ``oblique'' type: it is diagonally embedded between different SO groups of the target space pp-wave. |
1603.06579 | Yasuyuki Hatsuda | Yasuyuki Hatsuda, Kazumi Okuyama | Exact results for ABJ Wilson loops and open-closed duality | 34 pages | null | 10.1007/JHEP10(2016)132 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find new exact relations between the partition function and vacuum
expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us
to predict the large N expansions of the 1/2 BPS Wilson loops from known
results of the partition function. These relations are interpreted as an
open-closed duality where the closed string background is shifted by the
insertion of Wilson loops due to a back-reaction. Using the connection between
ABJ theory and the topological string on local P1 x P1, we explicitly write
down non-trivial relations between open and closed string amplitudes.
| [
{
"created": "Mon, 21 Mar 2016 20:00:02 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okuyama",
"Kazumi",
""
]
] | We find new exact relations between the partition function and vacuum expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us to predict the large N expansions of the 1/2 BPS Wilson loops from known results of the partition function. These relations are interpreted as an open-closed duality where the closed string background is shifted by the insertion of Wilson loops due to a back-reaction. Using the connection between ABJ theory and the topological string on local P1 x P1, we explicitly write down non-trivial relations between open and closed string amplitudes. |
hep-th/0601014 | Jose Francisco Gomes | J.F. Gomes, L.H. Ymai and A.H. Zimerman | Classical Integrable Super sinh-Gordon equation with defects | Latex 16 pages. To appear in J. Phys. A, Mathematical and General | J.Phys.A39:7471-7483,2006 | 10.1088/0305-4470/39/23/020 | null | hep-th math-ph math.MP nlin.SI | null | The introduction of defects is discussed under the Lagrangian formalism and
Backlund transformations for the N=1 super sinh-Gordon model. Modified
conserved momentum and energy are constructed for this case. Some explicit
examples of different Backlund solitons solutions are discussed. The Lax
formulation within the space split by the defect leads to the integrability of
the model and henceforth to the existence of an infinite number of constants of
motion
| [
{
"created": "Mon, 2 Jan 2006 12:32:43 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2006 12:20:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gomes",
"J. F.",
""
],
[
"Ymai",
"L. H.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | The introduction of defects is discussed under the Lagrangian formalism and Backlund transformations for the N=1 super sinh-Gordon model. Modified conserved momentum and energy are constructed for this case. Some explicit examples of different Backlund solitons solutions are discussed. The Lax formulation within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion |
hep-th/0203068 | Emery Sokatchev | Sergio Ferrara and Emery Sokatchev | Conformally coupled supermultiplets in four and five dimensions | null | JHEP 0208 (2002) 051 | 10.1088/1126-6708/2002/08/051 | null | hep-th | null | We obtain by superfield methods the exceptional representations of the
OSp(2N/4,R) and SU(2,2/1) superalgebras which extend to supersingletons of
SU(2,2/2N) and F(4), respectively. These representations describe
superconformally coupled multiplets and appear in three- and four-dimensional
superconformal field theories which are holographic descriptions of certain
anti-de Sitter supergravities.
| [
{
"created": "Thu, 7 Mar 2002 17:27:01 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Ferrara",
"Sergio",
""
],
[
"Sokatchev",
"Emery",
""
]
] | We obtain by superfield methods the exceptional representations of the OSp(2N/4,R) and SU(2,2/1) superalgebras which extend to supersingletons of SU(2,2/2N) and F(4), respectively. These representations describe superconformally coupled multiplets and appear in three- and four-dimensional superconformal field theories which are holographic descriptions of certain anti-de Sitter supergravities. |
hep-th/0001194 | A. I. Pashnev | E. E. Donets, A. Pashnev, J.J. Rosales and M. Tsulaia | Partial supersymmetry breaking in Multidimensional N=4 SUSY QM | 8 pages, LaTeX | null | null | null | hep-th | null | The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is
constructed and the various possibilities for partial supersymmetry breaking
are discussed. It is shown that quantum mechanical models with one quarter, one
half and three quarters of unbroken(broken) supersymmetries can exist in the
framework of the multidimensional N=4 SUSY QM.
| [
{
"created": "Fri, 28 Jan 2000 18:00:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Donets",
"E. E.",
""
],
[
"Pashnev",
"A.",
""
],
[
"Rosales",
"J. J.",
""
],
[
"Tsulaia",
"M.",
""
]
] | The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is constructed and the various possibilities for partial supersymmetry breaking are discussed. It is shown that quantum mechanical models with one quarter, one half and three quarters of unbroken(broken) supersymmetries can exist in the framework of the multidimensional N=4 SUSY QM. |
1911.10066 | Alessia Benedetta Platania | Astrid Eichhorn, Alessia Platania, Marc Schiffer | Lorentz invariance violations in the interplay of quantum gravity with
matter | 20 pages, 9 figures. v2: matches published version | Phys. Rev. D 102, 026007 (2020) | 10.1103/PhysRevD.102.026007 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the interplay of matter with quantum gravity with a preferred
frame to highlight that the matter sector cannot be protected from the
symmetry-breaking effects in the gravitational sector. Focusing on Abelian
gauge fields, we show that quantum gravitational radiative corrections induce
Lorentz-invariance-violating couplings for the Abelian gauge field. In
particular, we discuss how such a mechanism could result in the possibility to
translate observational constraints on Lorentz violation in the matter sector
into strong constraints on the Lorentz-violating gravitational couplings.
| [
{
"created": "Fri, 22 Nov 2019 14:44:26 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2020 15:44:54 GMT",
"version": "v2"
}
] | 2020-07-15 | [
[
"Eichhorn",
"Astrid",
""
],
[
"Platania",
"Alessia",
""
],
[
"Schiffer",
"Marc",
""
]
] | We explore the interplay of matter with quantum gravity with a preferred frame to highlight that the matter sector cannot be protected from the symmetry-breaking effects in the gravitational sector. Focusing on Abelian gauge fields, we show that quantum gravitational radiative corrections induce Lorentz-invariance-violating couplings for the Abelian gauge field. In particular, we discuss how such a mechanism could result in the possibility to translate observational constraints on Lorentz violation in the matter sector into strong constraints on the Lorentz-violating gravitational couplings. |
1506.08095 | Ross Diener | C.P. Burgess, Ross Diener, M. Williams | The Gravity of Dark Vortices: Effective Field Theory for Branes and
Strings Carrying Localized Flux | 36 pages + appendices, 7 figures | JHEP 1511 (2015) 049 | null | CERN-PH-TH-2015-053 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Nielsen-Olesen vortex usually sits in an environment that expels the flux
that is confined to the vortex, so flux is not present both inside and outside.
We construct vortices for which this is not true, where the flux carried by the
vortex also permeates the `bulk' far from the vortex. The idea is to mix the
vortex's internal gauge flux with an external flux using off-diagonal kinetic
mixing. Such `dark' vortices could play a phenomenological role in models with
both cosmic strings and a dark gauge sector. When coupled to gravity they also
provide explicit ultra-violet completions for codimension-two brane-localized
flux, which arises in extra-dimensional models when the same flux that
stabilizes extra-dimensional size is also localized on space-filling branes
situated around the extra dimensions. We derive simple formulae for observables
such as defect angle, tension, localized flux and on-vortex curvature when
coupled to gravity, and show how all of these are insensitive to much of the
microscopic details of the solutions, and are instead largely dictated by
low-energy quantities. We derive the required effective description in terms of
a world-sheet brane action, and derive the matching conditions for its
couplings. We consider the case where the dimensions transverse to the bulk
compactify, and determine how the on- and off-vortex curvatures and other bulk
features depend on the vortex properties. We find that the brane-localized flux
does not gravitate, but just renormalizes the tension in a magnetic-field
independent way. The existence of an explicit UV completion puts the effective
description of these models on a more precise footing, verifying that
brane-localized flux can be consistent with sensible UV physics and resolving
some apparent paradoxes that can arise with a naive (but commonly used)
delta-function treatment of the brane's localization within the bulk.
| [
{
"created": "Fri, 26 Jun 2015 14:38:28 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2015 04:16:11 GMT",
"version": "v2"
}
] | 2016-08-30 | [
[
"Burgess",
"C. P.",
""
],
[
"Diener",
"Ross",
""
],
[
"Williams",
"M.",
""
]
] | A Nielsen-Olesen vortex usually sits in an environment that expels the flux that is confined to the vortex, so flux is not present both inside and outside. We construct vortices for which this is not true, where the flux carried by the vortex also permeates the `bulk' far from the vortex. The idea is to mix the vortex's internal gauge flux with an external flux using off-diagonal kinetic mixing. Such `dark' vortices could play a phenomenological role in models with both cosmic strings and a dark gauge sector. When coupled to gravity they also provide explicit ultra-violet completions for codimension-two brane-localized flux, which arises in extra-dimensional models when the same flux that stabilizes extra-dimensional size is also localized on space-filling branes situated around the extra dimensions. We derive simple formulae for observables such as defect angle, tension, localized flux and on-vortex curvature when coupled to gravity, and show how all of these are insensitive to much of the microscopic details of the solutions, and are instead largely dictated by low-energy quantities. We derive the required effective description in terms of a world-sheet brane action, and derive the matching conditions for its couplings. We consider the case where the dimensions transverse to the bulk compactify, and determine how the on- and off-vortex curvatures and other bulk features depend on the vortex properties. We find that the brane-localized flux does not gravitate, but just renormalizes the tension in a magnetic-field independent way. The existence of an explicit UV completion puts the effective description of these models on a more precise footing, verifying that brane-localized flux can be consistent with sensible UV physics and resolving some apparent paradoxes that can arise with a naive (but commonly used) delta-function treatment of the brane's localization within the bulk. |
2210.11066 | Robert de Mello Koch | Robert de Mello Koch and Garreth Kemp | Holography of Information in AdS/CFT | 29+1 pages, 9 Figures | null | 10.1007/JHEP12(2022)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The principle of the holography of information states that in a theory of
quantum gravity a copy of all the information available on a Cauchy slice is
also available near the boundary of the Cauchy slice. This redundancy in the
theory is already present at low energy. In the context of the AdS/CFT
correspondence, this principle can be translated into a statement about the
dual conformal field theory. We carry out this translation and demonstrate that
the principle of the holography of information holds in bilocal holography.
| [
{
"created": "Thu, 20 Oct 2022 07:39:05 GMT",
"version": "v1"
}
] | 2023-01-04 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Kemp",
"Garreth",
""
]
] | The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice is also available near the boundary of the Cauchy slice. This redundancy in the theory is already present at low energy. In the context of the AdS/CFT correspondence, this principle can be translated into a statement about the dual conformal field theory. We carry out this translation and demonstrate that the principle of the holography of information holds in bilocal holography. |
hep-th/0203104 | Nicolaus W. P. Turner | David C. Dunbar and Nicolaus W. P. Turner | Ultra-Violet Infinities and Counterterms in Higher Dimensional
Yang-Mills | 14 pages, LateX, axodraw | Phys.Lett. B547 (2002) 278-290 | 10.1016/S0370-2693(02)02759-4 | SWAT-03-332 | hep-th | null | In this letter we investigate the ultra-violet behaviour of four-point
one-loop gluon amplitudes in dimensions greater than four coupled to various
particles types. We discuss the structure of the counterterms and their
inherent symmetries.
| [
{
"created": "Tue, 12 Mar 2002 15:33:09 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Sep 2002 14:31:06 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Dunbar",
"David C.",
""
],
[
"Turner",
"Nicolaus W. P.",
""
]
] | In this letter we investigate the ultra-violet behaviour of four-point one-loop gluon amplitudes in dimensions greater than four coupled to various particles types. We discuss the structure of the counterterms and their inherent symmetries. |
hep-th/9709181 | Mikhail Yu. Zotov | D. V. Gal'tsov (Moscow State University), E. E. Donets (JINR, Dubna),
M. Yu. Zotov (INP, Moscow State University) | Internal structure of non-Abelian black holes and nature of singularity | LaTeX 2.09, 26 pp., 6 EPS figures. Talk given at the International
Workshop on the Internal Structure of Black Holes and Spacetime
Singularities, Haifa, Israel, June 29 - July 3, 1997. Published in "Haifa
1997: Internal structure of black holes and spacetime singularities", 142-162 | null | null | null | hep-th | null | Recent results concerning the internal structure of static
spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM)
theory and its generalizations including scalar fields are reviewed and
discussed with an emphasis on the problem of a generic singularity in black
holes. It is argued that in the theories admitting a violation of the naive
no-hair conjecture the structure of singularity is essentially affected by the
"hair roots". This invalidates an image of a non-Abelian black hole as a
Schwarzschild black hole sitting inside the soliton. We give an analytic
description of the generic oscillatory approach to the singularity in the pure
EYM theory in terms of a divergent discrete sequence and show that the mass
function is exponentially growing "in average". The second type of a generic
approach to the singularity in hairy black holes is a "power-law mass
inflation" which is realized in the theories including scalar fields. Both
singularities are spacelike and no Cauchy horizons are met in the full interior
region in conformity with the Strong Cosmic Censorship conjecture. Black holes
violating this conjecture exist only for certain discrete values of the event
horizon radius thus forming a subset of zero measure.
| [
{
"created": "Thu, 25 Sep 1997 11:19:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gal'tsov",
"D. V.",
"",
"Moscow State University"
],
[
"Donets",
"E. E.",
"",
"JINR, Dubna"
],
[
"Zotov",
"M. Yu.",
"",
"INP, Moscow State University"
]
] | Recent results concerning the internal structure of static spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM) theory and its generalizations including scalar fields are reviewed and discussed with an emphasis on the problem of a generic singularity in black holes. It is argued that in the theories admitting a violation of the naive no-hair conjecture the structure of singularity is essentially affected by the "hair roots". This invalidates an image of a non-Abelian black hole as a Schwarzschild black hole sitting inside the soliton. We give an analytic description of the generic oscillatory approach to the singularity in the pure EYM theory in terms of a divergent discrete sequence and show that the mass function is exponentially growing "in average". The second type of a generic approach to the singularity in hairy black holes is a "power-law mass inflation" which is realized in the theories including scalar fields. Both singularities are spacelike and no Cauchy horizons are met in the full interior region in conformity with the Strong Cosmic Censorship conjecture. Black holes violating this conjecture exist only for certain discrete values of the event horizon radius thus forming a subset of zero measure. |
1703.00902 | Andrei Mikhailov | Andrei Mikhailov and Segundo P. Mili\'an | A geometrical point of view on linearized beta-deformations | LaTeX 23pp; v2: improved Introduction, added references; v3: paper
substantially expanded, added references; v4: added Appendix A, more
arguments in Section 5 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the supermultiplet of beta-deformations of ${\cal N}=4$
supersymmetric Yang-Mills theory can be described in terms of the exterior
product of two adjoint representations of the superconformal algebra. We
present a super-geometrical interpretation of this fact, by evaluating the
deforming operator on some special coherent states in the space of
supersingletons. We also discuss generalization of this approach to other
finite-dimensional deformations of the ${\cal N}=4$ supersymmetric Yang-Mills
theory.
| [
{
"created": "Thu, 2 Mar 2017 18:59:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2017 05:37:33 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jun 2018 15:25:07 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Nov 2018 13:02:06 GMT",
"version": "v4"
}
] | 2018-11-12 | [
[
"Mikhailov",
"Andrei",
""
],
[
"Milián",
"Segundo P.",
""
]
] | It is known that the supermultiplet of beta-deformations of ${\cal N}=4$ supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a super-geometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the ${\cal N}=4$ supersymmetric Yang-Mills theory. |
hep-th/9406192 | Satoshi Iso | S. Iso and S.J. Rey | Collective Field Theory of the Fractional Quantum Hall Edge State and
the Calogero-Sutherland Model | 12, UT-682 and SNUTP 94-55# | Phys.Lett. B352 (1995) 111-116 | 10.1016/0370-2693(95)00471-V | null | hep-th cond-mat | null | \noindent Using hydrodynamic collective field theory approach we show that
one-particle density matrix of the $\nu=1/m$ fractional quantum Hall edge state
interpolates between chiral Luttinger liquid behavior $\langle
\psi^{\dagger}(r) \psi(0) \rangle \sim r^{-m} $ and Calogero-Sutherland model
behavior $\langle \psi^{\dagger}(r) \psi(0) \rangle \sim r^{-(m+1/m)/2} $ as
the droplet width is varied continuously. Low-energy excitations are described
by $c=1$ conformal field theory of a compact boson of radius $\sqrt m$. The
result suggests complementary relation between the two-dimensional quantum Hall
droplet and the one-dimensional Calogero-Sutherland model.
| [
{
"created": "Wed, 29 Jun 1994 10:31:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Iso",
"S.",
""
],
[
"Rey",
"S. J.",
""
]
] | \noindent Using hydrodynamic collective field theory approach we show that one-particle density matrix of the $\nu=1/m$ fractional quantum Hall edge state interpolates between chiral Luttinger liquid behavior $\langle \psi^{\dagger}(r) \psi(0) \rangle \sim r^{-m} $ and Calogero-Sutherland model behavior $\langle \psi^{\dagger}(r) \psi(0) \rangle \sim r^{-(m+1/m)/2} $ as the droplet width is varied continuously. Low-energy excitations are described by $c=1$ conformal field theory of a compact boson of radius $\sqrt m$. The result suggests complementary relation between the two-dimensional quantum Hall droplet and the one-dimensional Calogero-Sutherland model. |
1608.08451 | Georgios K. Karananas Mr. | Georgios K. Karananas | Poincar\'e, Scale and Conformal Symmetries: Gauge Perspective and
Cosmological Ramifications | PhD Thesis, 206 pages, 5 figures. Abstract shorter than in the file
due to arXiv limit of 1920 characters. Based on arXiv:1212.4148,
arXiv:1411.5613, arXiv:1510.07589, arXiv:1510.08042, arXiv:1601.03046,
arXiv:1603.01274 | null | 10.5075/epfl-thesis-7173 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the first part of the thesis we focus on local symmetries. We review a
self-consistent framework that we employed in order to discuss the dynamics of
the theories of interest. Its merit lies in that we can make the symmetry group
act internally and thus be effectively separated from coordinate
transformations. We investigate under which conditions it is not needed to
introduce extra compensating fields to make relativistic as well as
nonrelativistic theories invariant under local symmetries and more precisely
under scale transformations. We clarify the role that torsion plays in this
context. We highlight the difference between Weyl and conformal invariance and
we demonstrate that not all conformal theories can be coupled to gravity in a
Weyl invariant way. Once this minimalistic treatment for gauging symmetries is
left aside, new possibilities appear. Namely, if we consider the Poincar\'e
group, the presence of the extra modes leads to nontrivial particle dynamics.
We derive constraints such that the theory is free from pathologies. In the
second part we make clear that even when not gauged, the presence of scale
invariance is appealing. First, it makes possible for the dimensionful
parameters that appear in a theory to be generated dynamically and be sourced
by the vacuum expectation value of the dilaton. If the Standard Model is
embedded into a scale-invariant framework, a number of interesting implications
for cosmology arise. The inflationary stage of our Universe and its present-day
acceleration become linked, a connection that might give us insight into the
dark energy dynamics. We show that in the context of gravitational theories
which are invariant under restricted coordinate transformations, the dilaton
instead of being introduced ad hoc, can emerge from the gravitational part of a
theory. We discuss the consequences of the nontrivial way this field emerges in
the action.
| [
{
"created": "Tue, 30 Aug 2016 13:55:13 GMT",
"version": "v1"
}
] | 2016-11-17 | [
[
"Karananas",
"Georgios K.",
""
]
] | In the first part of the thesis we focus on local symmetries. We review a self-consistent framework that we employed in order to discuss the dynamics of the theories of interest. Its merit lies in that we can make the symmetry group act internally and thus be effectively separated from coordinate transformations. We investigate under which conditions it is not needed to introduce extra compensating fields to make relativistic as well as nonrelativistic theories invariant under local symmetries and more precisely under scale transformations. We clarify the role that torsion plays in this context. We highlight the difference between Weyl and conformal invariance and we demonstrate that not all conformal theories can be coupled to gravity in a Weyl invariant way. Once this minimalistic treatment for gauging symmetries is left aside, new possibilities appear. Namely, if we consider the Poincar\'e group, the presence of the extra modes leads to nontrivial particle dynamics. We derive constraints such that the theory is free from pathologies. In the second part we make clear that even when not gauged, the presence of scale invariance is appealing. First, it makes possible for the dimensionful parameters that appear in a theory to be generated dynamically and be sourced by the vacuum expectation value of the dilaton. If the Standard Model is embedded into a scale-invariant framework, a number of interesting implications for cosmology arise. The inflationary stage of our Universe and its present-day acceleration become linked, a connection that might give us insight into the dark energy dynamics. We show that in the context of gravitational theories which are invariant under restricted coordinate transformations, the dilaton instead of being introduced ad hoc, can emerge from the gravitational part of a theory. We discuss the consequences of the nontrivial way this field emerges in the action. |
0809.3238 | Yuji Tachikawa | Alfred D. Shapere and Yuji Tachikawa | A counterexample to the a-'theorem' | 22 pages, 4 figures. v3: The conclusion in the previous version was
superseded. Please refer to the abstract for the details | JHEP0812:020,2008 | 10.1088/1126-6708/2008/12/020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conclusion of the original paper was wrong, due to the incorrect
assumption that the low-energy limit at the strongly-coupled point consists of
a single, coupled SCFT. By taking into account the fact that the low-energy
limit consists of multiple decoupled parts, it was later shown in
arXiv:1011.4568 that there is no violation of the a-theorem in this system.
Furthermore, the a-theorem itself was convincingly demonstrated in
arXiv:1107.3987, and the argument presented there has been further refined. The
rest of this paper is kept as it was, for some parts of the discussions might
still be of interest.
Original abstract: We exhibit a renormalization group flow for a
four-dimensional gauge theory along which the conformal central charge 'a'
increases. The flow connects the maximally superconformal point of an N=2 gauge
theory with gauge group SU(N+1) and N_f=2N flavors in the ultraviolet, to a
strongly-coupled superconformal point of the SU(N) gauge theory with N_f=2N
massless flavors in the infrared. Our example does not contradict the proof of
the a-theorem via a-maximization, due to the presence of accidental symmetries
in the infrared limit. Nor does it contradict the holographic a-theorem,
because these gauge theories do not possess weakly-curved holographic duals.
| [
{
"created": "Fri, 19 Sep 2008 16:31:05 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Dec 2008 03:41:19 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Apr 2014 12:45:08 GMT",
"version": "v3"
}
] | 2014-04-29 | [
[
"Shapere",
"Alfred D.",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | The conclusion of the original paper was wrong, due to the incorrect assumption that the low-energy limit at the strongly-coupled point consists of a single, coupled SCFT. By taking into account the fact that the low-energy limit consists of multiple decoupled parts, it was later shown in arXiv:1011.4568 that there is no violation of the a-theorem in this system. Furthermore, the a-theorem itself was convincingly demonstrated in arXiv:1107.3987, and the argument presented there has been further refined. The rest of this paper is kept as it was, for some parts of the discussions might still be of interest. Original abstract: We exhibit a renormalization group flow for a four-dimensional gauge theory along which the conformal central charge 'a' increases. The flow connects the maximally superconformal point of an N=2 gauge theory with gauge group SU(N+1) and N_f=2N flavors in the ultraviolet, to a strongly-coupled superconformal point of the SU(N) gauge theory with N_f=2N massless flavors in the infrared. Our example does not contradict the proof of the a-theorem via a-maximization, due to the presence of accidental symmetries in the infrared limit. Nor does it contradict the holographic a-theorem, because these gauge theories do not possess weakly-curved holographic duals. |
1106.2035 | Diego Redigolo | Diego Redigolo | On Lorentz-Violating Supersymmetric Quantum Field Theories | 22 pages, 2 figures | Phys. Rev. D 85, 085009 (2012) | 10.1103/PhysRevD.85.085009 | ULB-TH/11-12 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the possibility of constructing Lorentz-violating supersymmetric
quantum field theories under the assumption that these theories have to be
described by lagrangians which are renormalizable by weighted power counting.
Our investigation starts from the observation that at high energies
Lorentz-violation and the usual supersymmetry algebra are algebraically
compatible. Demanding linearity of the supercharges we see that the requirement
of renormalizability drastically restricts the set of possible
Lorentz-violating supersymmetric theories. In particular, in the case of
supersymmetric gauge theories the weighted power counting has to coincide with
the usual one and the only Lorentz-violating operators are introduced by some
weighted constant c that explicitly appears in the supersymmetry algebra. This
parameter does not renormalize and has to be very close to the speed of light
at low energies in order to satisfy the strict experimental bounds on Lorentz
violation. The only possible models with non trivial Lorentz-violating
operators involve neutral chiral superfields and do not have a gauge invariant
extension. We conclude that, under the assumption that high-energy physics can
be described by a renormalizable Lorentz-violating extensions of the Standard
Model, the Lorentz fine tuning problem does not seem solvable by the
requirement of supersymmetry.
| [
{
"created": "Fri, 10 Jun 2011 12:27:27 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2011 13:50:58 GMT",
"version": "v2"
}
] | 2012-04-24 | [
[
"Redigolo",
"Diego",
""
]
] | We study the possibility of constructing Lorentz-violating supersymmetric quantum field theories under the assumption that these theories have to be described by lagrangians which are renormalizable by weighted power counting. Our investigation starts from the observation that at high energies Lorentz-violation and the usual supersymmetry algebra are algebraically compatible. Demanding linearity of the supercharges we see that the requirement of renormalizability drastically restricts the set of possible Lorentz-violating supersymmetric theories. In particular, in the case of supersymmetric gauge theories the weighted power counting has to coincide with the usual one and the only Lorentz-violating operators are introduced by some weighted constant c that explicitly appears in the supersymmetry algebra. This parameter does not renormalize and has to be very close to the speed of light at low energies in order to satisfy the strict experimental bounds on Lorentz violation. The only possible models with non trivial Lorentz-violating operators involve neutral chiral superfields and do not have a gauge invariant extension. We conclude that, under the assumption that high-energy physics can be described by a renormalizable Lorentz-violating extensions of the Standard Model, the Lorentz fine tuning problem does not seem solvable by the requirement of supersymmetry. |
1708.03226 | Francisco Pedro | Francisco G. Pedro | UV physics and the speed of sound during inflation | null | null | null | IFT-UAM/CSIC-17-065 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider inflation as an effective field theory and study the effects of
the addition to the Lagrangian of irrelevant operators with higher powers of
first derivatives on its dynamics and observables. We find that significant
deviations from the two-derivative dynamics are possible within the regime of
validity of the effective field theory. Focusing on monomial potentials we show
that the main effect of the terms under consideration is to reduce the speed of
sound thereby reducing the tensor fraction, while having little impact on the
scalar tilt. Crucially, these effects can arise even when the UV cut-off is
well above the inflationary Hubble parameter.
| [
{
"created": "Thu, 10 Aug 2017 14:13:20 GMT",
"version": "v1"
}
] | 2017-08-11 | [
[
"Pedro",
"Francisco G.",
""
]
] | We consider inflation as an effective field theory and study the effects of the addition to the Lagrangian of irrelevant operators with higher powers of first derivatives on its dynamics and observables. We find that significant deviations from the two-derivative dynamics are possible within the regime of validity of the effective field theory. Focusing on monomial potentials we show that the main effect of the terms under consideration is to reduce the speed of sound thereby reducing the tensor fraction, while having little impact on the scalar tilt. Crucially, these effects can arise even when the UV cut-off is well above the inflationary Hubble parameter. |
hep-th/0011234 | Jose' P. S. Lemos | Jose' P. S. Lemos | Supersymmetry of the extreme rotating toroidal black hole | LaTeX file, 1 eps figure, 15 pages | Nucl.Phys. B600 (2001) 272-284 | 10.1016/S0550-3213(01)00064-5 | null | hep-th gr-qc | null | We study the supersymmetry of the charged rotating toroidal black hole
solutions found by Lemos and Zanchin, and show that the only configurations
that are supersymmetric are: (i) the non-rotating electrically charged naked
singularities already studied by Caldarelli and Klemm, and (ii) an extreme
rotating toroidal black hole with zero magnetic and electric charges. For this
latter case, the extreme uncharged black hole, we calculate the Killing spinors
and show that the configuration preserves the same supersymmetries as the
background spacetime.
| [
{
"created": "Mon, 27 Nov 2000 15:37:51 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lemos",
"Jose' P. S.",
""
]
] | We study the supersymmetry of the charged rotating toroidal black hole solutions found by Lemos and Zanchin, and show that the only configurations that are supersymmetric are: (i) the non-rotating electrically charged naked singularities already studied by Caldarelli and Klemm, and (ii) an extreme rotating toroidal black hole with zero magnetic and electric charges. For this latter case, the extreme uncharged black hole, we calculate the Killing spinors and show that the configuration preserves the same supersymmetries as the background spacetime. |
1912.06561 | James Matthew | Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi and James Matthew | Diagrammatic Coaction of Two-Loop Feynman Integrals | 10 pages, talk given at RADCOR 2019 | null | null | CERN-TH-2019-218, CP3-19-59 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that one-loop Feynman integrals possess an algebraic structure
encoding some of their analytic properties called the coaction, which can be
written in terms of Feynman integrals and their cuts. This diagrammatic
coaction, and the coaction on other classes of integrals such as hypergeometric
functions, may be expressed using suitable bases of differential forms and
integration contours. This provides a useful framework for computing coactions
of Feynman integrals expressed using the hypergeometric functions. We will
discuss examples where this technique has been used in the calculation of
two-loop diagrammatic coactions.
| [
{
"created": "Fri, 13 Dec 2019 15:34:39 GMT",
"version": "v1"
}
] | 2019-12-16 | [
[
"Abreu",
"Samuel",
""
],
[
"Britto",
"Ruth",
""
],
[
"Duhr",
"Claude",
""
],
[
"Gardi",
"Einan",
""
],
[
"Matthew",
"James",
""
]
] | It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman integrals and their cuts. This diagrammatic coaction, and the coaction on other classes of integrals such as hypergeometric functions, may be expressed using suitable bases of differential forms and integration contours. This provides a useful framework for computing coactions of Feynman integrals expressed using the hypergeometric functions. We will discuss examples where this technique has been used in the calculation of two-loop diagrammatic coactions. |
0803.0250 | Enrico Onofri | Giuseppe Marchesini and Enrico Onofri | High energy gravitational scattering: a numerical study | 11 pages, 6 figures | JHEP 0806:104,2008 | 10.1088/1126-6708/2008/06/104 | CERN-PH-TH/2008-042 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The S-matrix in gravitational high energy scattering is computed from the
region of large impact parameters b down to the regime where classical
gravitational collapse is expected to occur. By solving the equation of an
effective action introduced by Amati, Ciafaloni and Veneziano we find that the
perturbative expansion around the leading eikonal result diverges at a critical
value signalling the onset of a new regime. We then discuss the main features
of our explicitly unitary S-matrix down to the Schwarzschild's radius R=2G
s^(1/2), where it diverges at a critical value b ~ 2.22 R of the impact
parameter. The nature of the singularity is studied with particular attention
to the scaling behaviour of various observables at the transition. The
numerical approach is validated by reproducing the known exact solution in the
axially symmetric case to high accuracy.
| [
{
"created": "Mon, 3 Mar 2008 15:33:28 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Marchesini",
"Giuseppe",
""
],
[
"Onofri",
"Enrico",
""
]
] | The S-matrix in gravitational high energy scattering is computed from the region of large impact parameters b down to the regime where classical gravitational collapse is expected to occur. By solving the equation of an effective action introduced by Amati, Ciafaloni and Veneziano we find that the perturbative expansion around the leading eikonal result diverges at a critical value signalling the onset of a new regime. We then discuss the main features of our explicitly unitary S-matrix down to the Schwarzschild's radius R=2G s^(1/2), where it diverges at a critical value b ~ 2.22 R of the impact parameter. The nature of the singularity is studied with particular attention to the scaling behaviour of various observables at the transition. The numerical approach is validated by reproducing the known exact solution in the axially symmetric case to high accuracy. |
0906.4399 | Daniel Butter | Daniel Butter | N=1 Conformal Superspace in Four Dimensions | 68 pages, revised introduction | Annals Phys.325:1026-1080,2010 | 10.1016/j.aop.2009.09.010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct in detail an N=1, D=4 superspace with the superconformal algebra
as the structure group and discuss its relation to prior component approaches
and the existing Poincar\'e superspaces.
| [
{
"created": "Wed, 24 Jun 2009 17:57:40 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Aug 2009 17:33:53 GMT",
"version": "v2"
}
] | 2010-04-22 | [
[
"Butter",
"Daniel",
""
]
] | We construct in detail an N=1, D=4 superspace with the superconformal algebra as the structure group and discuss its relation to prior component approaches and the existing Poincar\'e superspaces. |
2405.04576 | Peng-Yu Wu | Peng-Yu Wu and H. Lu | Quadratic Curvature Correction and Its Breakdown to Thermodynamics of
Rotating Black Holes | LaTeX, 34 pages, some typos were corrected and a new subsection on
the sign of \Delta S was added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We adopt the Reall-Santos method to obtain the quadratic curvature
corrections to the thermodynamics of Myers-Perry rotating black holes in
diverse dimensions. We consider the corrections in canonical and grand
canonical ensembles, and also for fixed mass and angular momenta. We find that
there exist inevitable divergences for generic rotation parameters so that the
perturbative approach breaks down. We present a simple and universal formula to
determine where these divergences could arise, and argue, using an explicit
example, that these divergences are artefact of perturbation and may not exist
in the full nonlinear theory.
| [
{
"created": "Tue, 7 May 2024 18:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2024 12:54:27 GMT",
"version": "v2"
}
] | 2024-05-16 | [
[
"Wu",
"Peng-Yu",
""
],
[
"Lu",
"H.",
""
]
] | We adopt the Reall-Santos method to obtain the quadratic curvature corrections to the thermodynamics of Myers-Perry rotating black holes in diverse dimensions. We consider the corrections in canonical and grand canonical ensembles, and also for fixed mass and angular momenta. We find that there exist inevitable divergences for generic rotation parameters so that the perturbative approach breaks down. We present a simple and universal formula to determine where these divergences could arise, and argue, using an explicit example, that these divergences are artefact of perturbation and may not exist in the full nonlinear theory. |
1604.05452 | Chong-Sun Chu | Chong-Sun Chu, Dimitrios Giataganas | AdS/dS CFT Correspondence | 26 pages. no figures. v2: references added | Phys. Rev. D 94, 106013 (2016) | 10.1103/PhysRevD.94.106013 | NCTS-TH/1601 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose and study a holographic dual of the type IIB superstring theory of
AdS_5 x S^5 in terms of the N=4 superconformal Yang-Mills theory on dS_4. We
use the bulk to boundary formalism to evaluate the boundary correlation
functions and verify that it agrees with the expected result in dS conformal
field theory. The gauge theory is expected to be UV finite and enjoy exact
SL(2,Z) strong-weak duality. As the string theory Green-Schwarz sigma model
carries an infinite number of classically conserved charges, it also suggest
that the superconformal Yang-Mills theory is integrable and deserves further
studies.
| [
{
"created": "Tue, 19 Apr 2016 07:15:40 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 08:14:33 GMT",
"version": "v2"
}
] | 2016-12-07 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Giataganas",
"Dimitrios",
""
]
] | We propose and study a holographic dual of the type IIB superstring theory of AdS_5 x S^5 in terms of the N=4 superconformal Yang-Mills theory on dS_4. We use the bulk to boundary formalism to evaluate the boundary correlation functions and verify that it agrees with the expected result in dS conformal field theory. The gauge theory is expected to be UV finite and enjoy exact SL(2,Z) strong-weak duality. As the string theory Green-Schwarz sigma model carries an infinite number of classically conserved charges, it also suggest that the superconformal Yang-Mills theory is integrable and deserves further studies. |
2106.08772 | Sergio Benvenuti | Sergio Benvenuti and Paolo Spezzati | Mildly Flavoring Domain Walls in Sp(N) SQCD | 29 pages, many figures. V2: various changes in Sec. 3. V3: JHEP
version | null | 10.1007/JHEP09(2021)011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider supersymmetric domain walls of four-dimensional
$\mathcal{N}\!=\!1$ $Sp(N)$ SQCD with $F\!=\!N+1$ and $F\!=\!N+2$ flavors.
First, we study numerically the differential equations defining the walls,
classifying the solutions. When $F\!=\!N+2$, in the special case of the
parity-invariant walls, the naive analysis does not provide all the expected
solutions. We show that an infinitesimal deformation of the differential
equations sheds some light on this issue.
Second, we discuss the $3d$ $\mathcal{N}\!=\!1$ Chern-Simons-matter theories
that should describe the effective dynamics on the walls. These proposals pass
various tests, including dualities and matching of the vacua of the massive
$3d$ theory with the $4d$ analysis. However, for $F\!=\!N+2$, the semiclassical
analysis of the vacua is only partially successful, suggesting that
yet-to-be-understood strong coupling phenomena are into play in our $3d$
$\mathcal{N}\!=\!1$ gauge theories.
| [
{
"created": "Wed, 16 Jun 2021 13:31:59 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2021 17:51:30 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Sep 2021 11:56:53 GMT",
"version": "v3"
}
] | 2023-02-22 | [
[
"Benvenuti",
"Sergio",
""
],
[
"Spezzati",
"Paolo",
""
]
] | We consider supersymmetric domain walls of four-dimensional $\mathcal{N}\!=\!1$ $Sp(N)$ SQCD with $F\!=\!N+1$ and $F\!=\!N+2$ flavors. First, we study numerically the differential equations defining the walls, classifying the solutions. When $F\!=\!N+2$, in the special case of the parity-invariant walls, the naive analysis does not provide all the expected solutions. We show that an infinitesimal deformation of the differential equations sheds some light on this issue. Second, we discuss the $3d$ $\mathcal{N}\!=\!1$ Chern-Simons-matter theories that should describe the effective dynamics on the walls. These proposals pass various tests, including dualities and matching of the vacua of the massive $3d$ theory with the $4d$ analysis. However, for $F\!=\!N+2$, the semiclassical analysis of the vacua is only partially successful, suggesting that yet-to-be-understood strong coupling phenomena are into play in our $3d$ $\mathcal{N}\!=\!1$ gauge theories. |
1709.03131 | Romulo Rougemont | Renato Critelli (1), Romulo Rougemont (2), Jorge Noronha (1) ((1) Sao
Paulo U., (2) IIP, Brazil) | Homogeneous isotropization and equilibration of a strongly coupled
plasma with a critical point | 66 pages, 27 figures, calculation of the QNMs of the dilaton channel
added, revised conclusions. Accepted for publication in JHEP. v4: typos
corrected; v5: a few more typos corrected; v6: one more typo corrected; v7:
two more typos corrected (there was missing a minus sign in the RHS of Eqs.
(6.2) and (6.5)) | JHEP 12 (2017) 029 | 10.1007/JHEP12(2017)029 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to investigate the process of homogeneous isotropization
and thermalization in a strongly coupled $\mathcal{N} = 4$ Super Yang-Mills
plasma charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry which
features a critical point in its phase diagram. Isotropization dynamics at late
times is affected by the critical point in agreement with the behavior of the
characteristic relaxation time extracted from the analysis of the lowest
non-hydrodynamic quasinormal mode in the $SO(3)$ quintuplet (external scalar)
channel of the theory. In particular, the isotropization time may decrease or
increase as the chemical potential increases depending on whether one is far or
close enough to the critical point, respectively. On the other hand, the
thermalization time associated with the equilibration of the scalar condensate,
which happens only after the system has relaxed to a (nearly) isotropic state,
is found to always increase with chemical potential in agreement with the
characteristic relaxation time associated to the lowest non-hydrodynamic
quasinormal mode in the $SO(3)$ singlet (dilaton) channel. These conclusions
about the late dynamics of the system are robust in the sense that they hold
for different initial conditions seeding the time evolution of the
far-from-equilibrium plasma.
| [
{
"created": "Sun, 10 Sep 2017 16:43:34 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Sep 2017 22:51:48 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Nov 2017 21:56:02 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Aug 2018 16:38:06 GMT",
"version": "v4"
},
{
"created": "Sun, 10 May 2020 01:51:42 GMT",
"version": "v5"
},
{
"created": "Thu, 21 Sep 2023 00:13:32 GMT",
"version": "v6"
},
{
"created": "Wed, 7 Feb 2024 02:33:28 GMT",
"version": "v7"
}
] | 2024-02-08 | [
[
"Critelli",
"Renato",
""
],
[
"Rougemont",
"Romulo",
""
],
[
"Noronha",
"Jorge",
""
]
] | We use holography to investigate the process of homogeneous isotropization and thermalization in a strongly coupled $\mathcal{N} = 4$ Super Yang-Mills plasma charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry which features a critical point in its phase diagram. Isotropization dynamics at late times is affected by the critical point in agreement with the behavior of the characteristic relaxation time extracted from the analysis of the lowest non-hydrodynamic quasinormal mode in the $SO(3)$ quintuplet (external scalar) channel of the theory. In particular, the isotropization time may decrease or increase as the chemical potential increases depending on whether one is far or close enough to the critical point, respectively. On the other hand, the thermalization time associated with the equilibration of the scalar condensate, which happens only after the system has relaxed to a (nearly) isotropic state, is found to always increase with chemical potential in agreement with the characteristic relaxation time associated to the lowest non-hydrodynamic quasinormal mode in the $SO(3)$ singlet (dilaton) channel. These conclusions about the late dynamics of the system are robust in the sense that they hold for different initial conditions seeding the time evolution of the far-from-equilibrium plasma. |
hep-th/0404087 | Michael Haack | Marcus Berg, Michael Haack and Boris Kors | Loop Corrections to Volume Moduli and Inflation in String Theory | 64 pages, 4 figures, v2: references added, presentation in sect. 4
revised (results unchanged), further minor changes, version to appear in
Phys. Rev. D | Phys.Rev. D71 (2005) 026005 | 10.1103/PhysRevD.71.026005 | MIT-CTP-3486, NSF-KITP-04-41 | hep-th | null | The recent progress in embedding inflation in string theory has made it clear
that the problem of moduli stabilization cannot be ignored in this context. In
many models a special role is played by the volume modulus, which is modified
in the presence of mobile branes. The challenge is to stabilize this modified
volume while keeping the inflaton mass small compared to the Hubble parameter.
It is then crucial to know not only how the volume modulus is modified, but
also to have control over the dependence of the potential on the inflaton
field. We address these questions within a simple setting: toroidal N=1 type
IIB orientifolds. We calculate corrections to the superpotential and show how
the holomorphic dependence on the properly modified volume modulus arises. The
potential then explicitly involves the inflaton, leaving room for lowering the
inflaton mass through moderate fine-tuning of flux quantum numbers.
| [
{
"created": "Tue, 13 Apr 2004 19:02:31 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2004 18:35:42 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Berg",
"Marcus",
""
],
[
"Haack",
"Michael",
""
],
[
"Kors",
"Boris",
""
]
] | The recent progress in embedding inflation in string theory has made it clear that the problem of moduli stabilization cannot be ignored in this context. In many models a special role is played by the volume modulus, which is modified in the presence of mobile branes. The challenge is to stabilize this modified volume while keeping the inflaton mass small compared to the Hubble parameter. It is then crucial to know not only how the volume modulus is modified, but also to have control over the dependence of the potential on the inflaton field. We address these questions within a simple setting: toroidal N=1 type IIB orientifolds. We calculate corrections to the superpotential and show how the holomorphic dependence on the properly modified volume modulus arises. The potential then explicitly involves the inflaton, leaving room for lowering the inflaton mass through moderate fine-tuning of flux quantum numbers. |
hep-th/0205133 | Kneur Jean-Loic | J.-L. Kneur and D. Reynaud (Montpellier U.) | (Borel) convergence of the variationally improved mass expansion and the
O(N) Gross-Neveu model mass gap | 33 pp., RevTeX4, 6 eps figures. Minor typos, notation and wording
corrections, 2 references added. To appear in Phys. Rev. D | Phys.Rev. D66 (2002) 085020 | 10.1103/PhysRevD.66.085020 | PM/01-68 | hep-th hep-ph | null | We reconsider in some detail a construction allowing (Borel) convergence of
an alternative perturbative expansion, for specific physical quantities of
asymptotically free models. The usual perturbative expansions (with an explicit
mass dependence) are transmuted into expansions in 1/F, where $F \sim 1/g(m)$
for $m \gg \Lambda$ while $F \sim (m/\Lambda)^\alpha$ for $m \lsim \Lambda$,
$\Lambda$ being the basic scale and $\alpha$ given by renormalization group
coefficients. (Borel) convergence holds in a range of $F$ which corresponds to
reach unambiguously the strong coupling infrared regime near $m\to 0$, which
can define certain "non-perturbative" quantities, such as the mass gap, from a
resummation of this alternative expansion. Convergence properties can be
further improved, when combined with $\delta$ expansion (variationally improved
perturbation) methods. We illustrate these results by re-evaluating, from
purely perturbative informations, the O(N) Gross-Neveu model mass gap, known
for arbitrary $N$ from exact S matrix results. Comparing different levels of
approximations that can be defined within our framework, we find reasonable
agreement with the exact result.
| [
{
"created": "Tue, 14 May 2002 15:50:02 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2002 12:04:42 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kneur",
"J. -L.",
"",
"Montpellier U."
],
[
"Reynaud",
"D.",
"",
"Montpellier U."
]
] | We reconsider in some detail a construction allowing (Borel) convergence of an alternative perturbative expansion, for specific physical quantities of asymptotically free models. The usual perturbative expansions (with an explicit mass dependence) are transmuted into expansions in 1/F, where $F \sim 1/g(m)$ for $m \gg \Lambda$ while $F \sim (m/\Lambda)^\alpha$ for $m \lsim \Lambda$, $\Lambda$ being the basic scale and $\alpha$ given by renormalization group coefficients. (Borel) convergence holds in a range of $F$ which corresponds to reach unambiguously the strong coupling infrared regime near $m\to 0$, which can define certain "non-perturbative" quantities, such as the mass gap, from a resummation of this alternative expansion. Convergence properties can be further improved, when combined with $\delta$ expansion (variationally improved perturbation) methods. We illustrate these results by re-evaluating, from purely perturbative informations, the O(N) Gross-Neveu model mass gap, known for arbitrary $N$ from exact S matrix results. Comparing different levels of approximations that can be defined within our framework, we find reasonable agreement with the exact result. |
0903.2157 | Doron Gepner R | Doron Gepner | Chiral algebras for superconformal interacting bosons | 31 pages | Int.J.Mod.Phys.A24:5407-5426,2009 | 10.1142/S0217751X09046102 | null | hep-th hep-ph math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A sort of calculus is developed to find the chiral algebras of N=2
superconformal interacting bosonic models. Many examples are discussed. It is
shown that the algebras share a common structure, which we call almost Landau
Ginzburg. For one or two generators, the number of relations is equal to the
number of generators and they are algebraically independent.
| [
{
"created": "Thu, 12 Mar 2009 12:12:38 GMT",
"version": "v1"
}
] | 2009-11-30 | [
[
"Gepner",
"Doron",
""
]
] | A sort of calculus is developed to find the chiral algebras of N=2 superconformal interacting bosonic models. Many examples are discussed. It is shown that the algebras share a common structure, which we call almost Landau Ginzburg. For one or two generators, the number of relations is equal to the number of generators and they are algebraically independent. |
hep-th/9905186 | Iosif L. Bena | Iosif Bena | On the construction of local fields in the bulk of AdS_5 and other
spaces | 11 pages, LaTeX | Phys.Rev. D62 (2000) 066007 | 10.1103/PhysRevD.62.066007 | null | hep-th | null | In the Poincare patch of Minkovski AdS_5 we explicitly construct local bulk
fields from the boundary operators, to leading order in 1/N. We also construct
the Green's function implicitly defined by this procedure. We generalize the
construction of local fields for near horizon geometries of Dp branes. We try
to expand the procedure to the interacting case, with partial success.
| [
{
"created": "Tue, 25 May 1999 21:34:56 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Bena",
"Iosif",
""
]
] | In the Poincare patch of Minkovski AdS_5 we explicitly construct local bulk fields from the boundary operators, to leading order in 1/N. We also construct the Green's function implicitly defined by this procedure. We generalize the construction of local fields for near horizon geometries of Dp branes. We try to expand the procedure to the interacting case, with partial success. |
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