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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1512.02934 | Yi Yang | En-Jui Kuo and Yi Yang | Extremal RN/CFT in Both Hands Revisited | 10 pages, no figure | null | 10.1016/j.physletb.2016.02.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study RN/CFT correspondence for four dimensional extremal
Reissner-Nordstrom black hole. We uplift the 4d RN black hole to a 5d rotating
black hole and make a geometric regularization of the 5d space-time. Both hands
central charges are obtained correctly at the same time by Brown-Henneaux
technique.
| [
{
"created": "Wed, 9 Dec 2015 16:37:21 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Kuo",
"En-Jui",
""
],
[
"Yang",
"Yi",
""
]
] | We study RN/CFT correspondence for four dimensional extremal Reissner-Nordstrom black hole. We uplift the 4d RN black hole to a 5d rotating black hole and make a geometric regularization of the 5d space-time. Both hands central charges are obtained correctly at the same time by Brown-Henneaux technique. |
1812.10064 | Adi Armoni | Adi Armoni, Shigeki Sugimoto | Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti
D-String Near an O1- plane | 38 pages, 3 eps figures. v2: minor corrections, refs. added. v3:
minor corrections, figure added. Version to appear in JHEP | null | 10.1007/JHEP03(2019)175 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the vacuum structure of N_f flavour two-dimensional QED with an
arbitrary integer charge k. We find that the axial symmetry is spontaneously
broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a
flavour singlet operator, resulting in k degenerate vacua. An explicit
construction of the k vacua is given by using a non-commutative algebra
obtained as a central extension of the Z_(kN_f) discrete axial symmetry and Z_k
1-form (center) symmetry, which represents the mixed 't Hooft anomaly between
them.
We then give a string theory realization of such a system with k=2 and N_f=8
by putting an anti D-string in the vicinity of an orientifold O1- plane and
study its dynamics using the two-dimensional gauge theory realized on it. We
calculate the potential between the anti D-string and the O1- plane and find
repulsion in both weak and strong coupling regimes of the two dimensional gauge
theory, corresponding to long and short distances, respectively. We also
calculate the potential for the (Q,-1) string (the bound state of an anti
D-string and Q fundamental strings) located close to the O1- plane. The result
is non-perturbative in the string coupling.
| [
{
"created": "Tue, 25 Dec 2018 08:13:35 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2019 09:43:13 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2019 20:58:06 GMT",
"version": "v3"
}
] | 2019-05-01 | [
[
"Armoni",
"Adi",
""
],
[
"Sugimoto",
"Shigeki",
""
]
] | We study the vacuum structure of N_f flavour two-dimensional QED with an arbitrary integer charge k. We find that the axial symmetry is spontaneously broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a flavour singlet operator, resulting in k degenerate vacua. An explicit construction of the k vacua is given by using a non-commutative algebra obtained as a central extension of the Z_(kN_f) discrete axial symmetry and Z_k 1-form (center) symmetry, which represents the mixed 't Hooft anomaly between them. We then give a string theory realization of such a system with k=2 and N_f=8 by putting an anti D-string in the vicinity of an orientifold O1- plane and study its dynamics using the two-dimensional gauge theory realized on it. We calculate the potential between the anti D-string and the O1- plane and find repulsion in both weak and strong coupling regimes of the two dimensional gauge theory, corresponding to long and short distances, respectively. We also calculate the potential for the (Q,-1) string (the bound state of an anti D-string and Q fundamental strings) located close to the O1- plane. The result is non-perturbative in the string coupling. |
hep-th/0108077 | Alireza Chenaghlou | A. Chenaghlou | Second order quantum corrections to the classical reflection factor of
the sinh-Gordon model | 24 pages and 1 figure. LaTex2e | Int.J.Mod.Phys. A16 (2001) 4613-4636 | 10.1142/S0217751X01005572 | null | hep-th | null | The sinh-Gordon model on a half-line with integrable boundary conditions is
considered in low order perturbation theory developed in affine Toda field
theory. The quantum corrections to the classical reflection factor of the model
are studied up to the second order in the difference of the two boundary
parameters and to one loop order in the bulk coupling. It is noticed that the
general form of the second order quantum corrections are consistent with
Ghoshal's formula.
| [
{
"created": "Sat, 11 Aug 2001 13:01:42 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Chenaghlou",
"A.",
""
]
] | The sinh-Gordon model on a half-line with integrable boundary conditions is considered in low order perturbation theory developed in affine Toda field theory. The quantum corrections to the classical reflection factor of the model are studied up to the second order in the difference of the two boundary parameters and to one loop order in the bulk coupling. It is noticed that the general form of the second order quantum corrections are consistent with Ghoshal's formula. |
hep-th/9512083 | null | Dennis Bonatsos, C. Daskaloyannis and P. Kolokotronis | Generalized Deformed Oscillators and Algebras | LaTeX, 15 pages; Lecture given at the Fifth Hellenic School and
Workshops on Elementary Particle Physics (Corfu, Greece, 3-24 September 1995) | null | null | ECT*/DEC/95-05 | hep-th math.QA q-alg | null | The generalized deformed oscillator schemes introduced as unified frameworks
of various deformed oscillators are proved to be equivalent, their unified
representation leading to a correspondence between the deformed oscillator and
the N=2 supersymmetric quantum mechanics (SUSY-QM) scheme. In addition, several
physical systems (two identical particles in two dimensions, isotropic
oscillator and Kepler system in a 2-dim curved space) and mathematical
structures (quadratic algebra QH(3), finite W algebra $\bar {\rm W}_0$) are
shown to possess the structure of a generalized deformed su(2) algebra, the
representation theory of which is known. Furthermore, the generalized deformed
parafermionic oscillator is identified with the algebra of several physical
systems (isotropic oscillator and Kepler system in 2-dim curved space,
Fokas--Lagerstrom, Smorodinsky--Winternitz and Holt potentials) and
mathematical constructions (generalized deformed su(2) algebra, finite W
algebras $\bar {\rm W}_0$ and W$_3^{(2)}$). The fact that the Holt potential is
characterized by the W$_3^{(2)}$ symmetry is obtained as a by-product.
| [
{
"created": "Tue, 12 Dec 1995 18:23:20 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Bonatsos",
"Dennis",
""
],
[
"Daskaloyannis",
"C.",
""
],
[
"Kolokotronis",
"P.",
""
]
] | The generalized deformed oscillator schemes introduced as unified frameworks of various deformed oscillators are proved to be equivalent, their unified representation leading to a correspondence between the deformed oscillator and the N=2 supersymmetric quantum mechanics (SUSY-QM) scheme. In addition, several physical systems (two identical particles in two dimensions, isotropic oscillator and Kepler system in a 2-dim curved space) and mathematical structures (quadratic algebra QH(3), finite W algebra $\bar {\rm W}_0$) are shown to possess the structure of a generalized deformed su(2) algebra, the representation theory of which is known. Furthermore, the generalized deformed parafermionic oscillator is identified with the algebra of several physical systems (isotropic oscillator and Kepler system in 2-dim curved space, Fokas--Lagerstrom, Smorodinsky--Winternitz and Holt potentials) and mathematical constructions (generalized deformed su(2) algebra, finite W algebras $\bar {\rm W}_0$ and W$_3^{(2)}$). The fact that the Holt potential is characterized by the W$_3^{(2)}$ symmetry is obtained as a by-product. |
1012.4402 | Jose A. de Azcarraga | Jose A.de Azcarraga, Kiyoshi Kamimura and Jerzy Lukierski | Generalized cosmological term from Maxwell symmetries | 7 pages, RevTex style. Enlarged version to appear in PRD | Phys.Rev.D83:124036,2011 | 10.1103/PhysRevD.83.124036 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By gauging the Maxwell spacetime algebra the standard geometric framework of
Einstein gravity with cosmological constant term is extended by adding six
fourvector fields A_\mu^{ab}(x) associated with the six abelian tensorial
charges in the Maxwell algebra. In the simplest Maxwell extension of Einstein
gravity this leads to a generalized cosmological term that includes a
contribution from these vector fields. We also consider going beyond the basic
gravitational model by means of bilinear actions for the new Abelian gauge
fields. Finally, an analogy with the supersymmetric generalization of gravity
is indicated. In an Appendix, we propose an equivalent description of the model
in terms of a shift of the standard spin connection by the A_\mu^{ab}(x)
fields.
| [
{
"created": "Mon, 20 Dec 2010 16:53:14 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2011 09:26:56 GMT",
"version": "v2"
}
] | 2011-07-08 | [
[
"de Azcarraga",
"Jose A.",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Lukierski",
"Jerzy",
""
]
] | By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_\mu^{ab}(x) associated with the six abelian tensorial charges in the Maxwell algebra. In the simplest Maxwell extension of Einstein gravity this leads to a generalized cosmological term that includes a contribution from these vector fields. We also consider going beyond the basic gravitational model by means of bilinear actions for the new Abelian gauge fields. Finally, an analogy with the supersymmetric generalization of gravity is indicated. In an Appendix, we propose an equivalent description of the model in terms of a shift of the standard spin connection by the A_\mu^{ab}(x) fields. |
1402.7306 | Richard Szabo | Dionysios Mylonas, Peter Schupp and Richard J. Szabo | Nonassociative geometry and twist deformations in non-geometric string
theory | 28 pages; Based on lectures given at ICMP 2013, 21-26 October, 2013,
Londrina, Brazil; to appear in Proceedings of Science | null | null | EMPG-14-5 | hep-th math-ph math.MP math.QA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe nonassociative deformations of geometry probed by closed strings
in non-geometric flux compactifications of string theory. We show that these
non-geometric backgrounds can be geometrised through the dynamics of open
membranes whose boundaries propagate in the phase space of the target space
compactification, equiped with a twisted Poisson structure. The effective
membrane target space is determined by the standard Courant algebroid over the
target space twisted by an abelian gerbe in momentum space. Quantization of the
membrane sigma-model leads to a proper quantization of the non-geometric
background, which we relate to Kontsevich's formalism of global deformation
quantization that constructs a noncommutative nonassociative star product on
phase space. We construct Seiberg-Witten type maps between associative and
nonassociative backgrounds, and show how they may realise a nonassociative
deformation of gravity. We also explain how this approach is related to the
quantization of certain Lie 2-algebras canonically associated to the twisted
Courant algebroid, and cochain twist quantization using suitable quasi-Hopf
algebras of symmetries in the phase space description of R-space which
constructs a Drinfel'd twist with non-trivial 3-cocycle. We illustrate and
apply our formalism to present a consistent phase space formulation of
nonassociative quantum mechanics.
| [
{
"created": "Fri, 28 Feb 2014 16:30:35 GMT",
"version": "v1"
}
] | 2014-03-03 | [
[
"Mylonas",
"Dionysios",
""
],
[
"Schupp",
"Peter",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We describe nonassociative deformations of geometry probed by closed strings in non-geometric flux compactifications of string theory. We show that these non-geometric backgrounds can be geometrised through the dynamics of open membranes whose boundaries propagate in the phase space of the target space compactification, equiped with a twisted Poisson structure. The effective membrane target space is determined by the standard Courant algebroid over the target space twisted by an abelian gerbe in momentum space. Quantization of the membrane sigma-model leads to a proper quantization of the non-geometric background, which we relate to Kontsevich's formalism of global deformation quantization that constructs a noncommutative nonassociative star product on phase space. We construct Seiberg-Witten type maps between associative and nonassociative backgrounds, and show how they may realise a nonassociative deformation of gravity. We also explain how this approach is related to the quantization of certain Lie 2-algebras canonically associated to the twisted Courant algebroid, and cochain twist quantization using suitable quasi-Hopf algebras of symmetries in the phase space description of R-space which constructs a Drinfel'd twist with non-trivial 3-cocycle. We illustrate and apply our formalism to present a consistent phase space formulation of nonassociative quantum mechanics. |
hep-th/0308075 | Giovanni Feverati | G. Feverati, P. A. Pearce and F. Ravanini | Exact $\phi_{1,3}$ boundary flows in the tricritical Ising model | 42 pages, 11 figures, Latex; v2: some typos corrected and few
comments added | Nucl.Phys. B675 (2003) 469-515 | 10.1016/j.nuclphysb.2003.09.059 | null | hep-th | null | We consider the tricritical Ising model on a strip or cylinder under the
integrable perturbation by the thermal $\phi_{1,3}$ boundary field. This
perturbation induces five distinct renormalization group (RG) flows between
Cardy type boundary conditions labelled by the Kac labels $(r,s)$. We study
these boundary RG flows in detail for all excitations. Exact Thermodynamic
Bethe Ansatz (TBA) equations are derived using the lattice approach by
considering the continuum scaling limit of the $A_4$ lattice model with
integrable boundary conditions. Fixing the bulk weights to their critical
values, the integrable boundary weights admit a thermodynamic boundary field
$\xi$ which induces the flow and, in the continuum scaling limit, plays the
role of the perturbing boundary field $\phi_{1,3}$. The excitations are
completely classified, in terms of string content, by $(m,n)$ systems and
quantum numbers but the string content changes by either two or three
well-defined mechanisms along the flow. We identify these mechanisms and obtain
the induced maps between the relevant finitized Virasoro characters. We also
solve the TBA equations numerically to determine the boundary flows for the
leading excitations.
| [
{
"created": "Tue, 12 Aug 2003 02:41:32 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2003 09:33:30 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Feverati",
"G.",
""
],
[
"Pearce",
"P. A.",
""
],
[
"Ravanini",
"F.",
""
]
] | We consider the tricritical Ising model on a strip or cylinder under the integrable perturbation by the thermal $\phi_{1,3}$ boundary field. This perturbation induces five distinct renormalization group (RG) flows between Cardy type boundary conditions labelled by the Kac labels $(r,s)$. We study these boundary RG flows in detail for all excitations. Exact Thermodynamic Bethe Ansatz (TBA) equations are derived using the lattice approach by considering the continuum scaling limit of the $A_4$ lattice model with integrable boundary conditions. Fixing the bulk weights to their critical values, the integrable boundary weights admit a thermodynamic boundary field $\xi$ which induces the flow and, in the continuum scaling limit, plays the role of the perturbing boundary field $\phi_{1,3}$. The excitations are completely classified, in terms of string content, by $(m,n)$ systems and quantum numbers but the string content changes by either two or three well-defined mechanisms along the flow. We identify these mechanisms and obtain the induced maps between the relevant finitized Virasoro characters. We also solve the TBA equations numerically to determine the boundary flows for the leading excitations. |
hep-th/0412009 | Ian Jack Dr | I. Jack, D.R.T. Jones and L.A. Worthy | One-loop renormalisation of N=1/2 supersymmetric gauge theory | 11 pages, including 3 figures. Plain TeX. Uses Harvmac and epsf.
Minor changes and reference added | Phys.Lett. B611 (2005) 199-206 | 10.1016/j.physletb.2005.01.086 | LTH 643 | hep-th | null | We show that N=1/2 supersymmetric gauge theory is renormalisable at one loop,
but only after gauge invariance is restored in a non-trivial fashion.
| [
{
"created": "Wed, 1 Dec 2004 15:07:09 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2004 11:47:27 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
],
[
"Worthy",
"L. A.",
""
]
] | We show that N=1/2 supersymmetric gauge theory is renormalisable at one loop, but only after gauge invariance is restored in a non-trivial fashion. |
1806.07283 | Robi Peschanski | B. G. Giraud and R. Peschanski | Profile of a Galactic Spherical Cloud of Self-Gravitating Fermions | 9 pages, 13 figures | null | 10.1088/1402-4896/ab1959 | null | hep-th astro-ph.GA hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The field which binds a thermal fermionic cloud is defined as a Hartree
integral upon its density. In turn, the density results from the field via a
Thomas-Fermi occupation of the local phase space. This defines a complete
theory of all properties and observables for the cloud. As an application to
dark matter halos, comparisons with astronomic data on dwarf spheroidal
galaxies are provided and discussed. Estimates of the elementary fermion mass
are obtained, serving as a phase-space bound on fermionic dark matter.
| [
{
"created": "Tue, 19 Jun 2018 14:37:06 GMT",
"version": "v1"
}
] | 2019-09-04 | [
[
"Giraud",
"B. G.",
""
],
[
"Peschanski",
"R.",
""
]
] | The field which binds a thermal fermionic cloud is defined as a Hartree integral upon its density. In turn, the density results from the field via a Thomas-Fermi occupation of the local phase space. This defines a complete theory of all properties and observables for the cloud. As an application to dark matter halos, comparisons with astronomic data on dwarf spheroidal galaxies are provided and discussed. Estimates of the elementary fermion mass are obtained, serving as a phase-space bound on fermionic dark matter. |
hep-th/9701044 | Douglas A. Singleton | Douglas Singleton | Magnetic Charge as a ``Hidden'' Gauge Symmetry | 13 pages LaTeX | Int.J.Theor.Phys. 34 (1995) 37-46 | null | null | hep-th | null | A theory containing both electric and magnetic charges is formulated using
two vector potentials, $A_{\mu}$ and $C_{\mu}$. This has the aesthetic
advantage of treating electric and magnetic charges both as gauge charges, but
it has the experimental disadvantage of introducing a second massless gauge
boson (the ``magnetic'' photon) which is not observed. This problem is dealt
with by using the Higgs mechanism to give a mass to one of the gauge bosons
while the other remains massless. This effectively ``hides'' the magnetic
charge, and the symmetry associated with it, when one is at an energy scale far
enough removed from the scale of the symmetry breaking.
| [
{
"created": "Fri, 10 Jan 1997 17:41:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Singleton",
"Douglas",
""
]
] | A theory containing both electric and magnetic charges is formulated using two vector potentials, $A_{\mu}$ and $C_{\mu}$. This has the aesthetic advantage of treating electric and magnetic charges both as gauge charges, but it has the experimental disadvantage of introducing a second massless gauge boson (the ``magnetic'' photon) which is not observed. This problem is dealt with by using the Higgs mechanism to give a mass to one of the gauge bosons while the other remains massless. This effectively ``hides'' the magnetic charge, and the symmetry associated with it, when one is at an energy scale far enough removed from the scale of the symmetry breaking. |
2110.08469 | Daniel Mart\'inez | Daniel Mart\'inez-Carbajal, Manuel de la Cruz, Sergio
Pati\~no-L\'opez, Leonardo D. Herrera-Z\'u\~niga | Implications of Seiberg-Witten map on type-I superconductors | Published version in IJMP-A | International Journal of Modern Physics A Vol. 37, No. 35, 2250218
(2022) | 10.1142/S0217751X22502189 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We incorporate the Seiberg-Witten map of noncommutative theory in the
classical London theory of type-I superconductivity when an external magnetic
field is applied. After defining the noncommutative Maxwell potentials, we
derive the London equation for the supercurrent as a function of the
noncommutative parameter, up to second order in gauge fields expansion. Keeping
track of the effects of noncommutative gauge fields, we argue that
noncommutative magnetic field effects can be cast in the permeability of the
superconductor as an emergent property of the material, measurable in possible
not-so-far ultra-high-energy experimental setups. Another consequence of the
Seiberg-Witten map is the London penetration length that acquires corrections
in the expansion. Also, we show that the flux quantization remains consistent
relative to the commutative case. Our effective magnetic permeability and
London penetration length reduce to the standard ones in the commutative limit.
| [
{
"created": "Sat, 16 Oct 2021 04:45:30 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Nov 2021 02:51:54 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Feb 2022 05:08:28 GMT",
"version": "v3"
},
{
"created": "Mon, 22 Aug 2022 02:52:07 GMT",
"version": "v4"
},
{
"created": "Thu, 9 Mar 2023 03:03:13 GMT",
"version": "v5"
}
] | 2023-03-10 | [
[
"Martínez-Carbajal",
"Daniel",
""
],
[
"de la Cruz",
"Manuel",
""
],
[
"Patiño-López",
"Sergio",
""
],
[
"Herrera-Zúñiga",
"Leonardo D.",
""
]
] | We incorporate the Seiberg-Witten map of noncommutative theory in the classical London theory of type-I superconductivity when an external magnetic field is applied. After defining the noncommutative Maxwell potentials, we derive the London equation for the supercurrent as a function of the noncommutative parameter, up to second order in gauge fields expansion. Keeping track of the effects of noncommutative gauge fields, we argue that noncommutative magnetic field effects can be cast in the permeability of the superconductor as an emergent property of the material, measurable in possible not-so-far ultra-high-energy experimental setups. Another consequence of the Seiberg-Witten map is the London penetration length that acquires corrections in the expansion. Also, we show that the flux quantization remains consistent relative to the commutative case. Our effective magnetic permeability and London penetration length reduce to the standard ones in the commutative limit. |
2107.00655 | Nathan Benjamin | Nathan Benjamin, Christoph A. Keller, Ida G. Zadeh | Lifting 1/4-BPS States in $AdS_3\times S^3 \times T^4$ | 34 pages, Mathematica notebook included; v2: minor changes | null | 10.1007/JHEP10(2021)089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a framework for doing second order conformal perturbation theory
for the symmetric orbifold Sym$^N(T^4)$ to all orders in $N$. This allows us to
compute how 1/4-BPS states of the D1-D5 system on $AdS_3\times S^3\times T^4$
are lifted as we move away from the orbifold point. As an application we
confirm a previous observation that in the large $N$ limit not all 1/4-BPS
states that can be lifted do get lifted. This provides evidence that the
supersymmetric index actually undercounts the number of 1/4-BPS states at a
generic point in the moduli space.
| [
{
"created": "Thu, 1 Jul 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2021 18:06:53 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Benjamin",
"Nathan",
""
],
[
"Keller",
"Christoph A.",
""
],
[
"Zadeh",
"Ida G.",
""
]
] | We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold Sym$^N(T^4)$ to all orders in $N$. This allows us to compute how 1/4-BPS states of the D1-D5 system on $AdS_3\times S^3\times T^4$ are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large $N$ limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space. |
1103.1055 | Andrzej Herdegen | Andrzej Herdegen and Katarzyna Rejzner | Spacelike localization of long-range fields in a model of asymptotic
electrodynamics | 29 pages, accepted for publication in Annales Henri Poincar\'e | null | 10.1007/s00023-011-0105-4 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A previously proposed algebra of asymptotic fields in quantum electrodynamics
is formulated as a net of algebras localized in regions which in general have
unbounded spacelike extension. Electromagnetic fields may be localized in
`symmetrical spacelike cones', but there are strong indications this is not
possible in the present model for charged fields, which have tails extending in
all space directions. Nevertheless, products of appropriately `dressed' fermion
fields (with compensating charges) yield bi-localized observables.
| [
{
"created": "Sat, 5 Mar 2011 13:52:44 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Herdegen",
"Andrzej",
""
],
[
"Rejzner",
"Katarzyna",
""
]
] | A previously proposed algebra of asymptotic fields in quantum electrodynamics is formulated as a net of algebras localized in regions which in general have unbounded spacelike extension. Electromagnetic fields may be localized in `symmetrical spacelike cones', but there are strong indications this is not possible in the present model for charged fields, which have tails extending in all space directions. Nevertheless, products of appropriately `dressed' fermion fields (with compensating charges) yield bi-localized observables. |
hep-th/0312158 | Anton Zeitlin M. | Petr P. Kulish, Anton M. Zeitlin | Group Theoretical Structure and Inverse Scattering Method for super-KdV
Equation | LaTeX2e, 19 pages, Zapiski Nauchnih Seminarov POMI (Steklov
Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of
Math. Sci., Kluwer, in press | J.Math.Sci.125:203-214,2005 | 10.1023/B:JOTH.0000049572.41993.9f | null | hep-th math-ph math.MP nlin.SI | null | Using the group-theoretical approach to the inverse scattering method the
supersymmetric Korteweg-de Vries equation is obtained by application of the
Drinfeld-Sokolov reduction to osp(1|2) loop superalgebra. The direct and
inverse scattering problems are discussed for the corresponding Lax pair.
| [
{
"created": "Sun, 14 Dec 2003 11:04:54 GMT",
"version": "v1"
}
] | 2016-06-08 | [
[
"Kulish",
"Petr P.",
""
],
[
"Zeitlin",
"Anton M.",
""
]
] | Using the group-theoretical approach to the inverse scattering method the supersymmetric Korteweg-de Vries equation is obtained by application of the Drinfeld-Sokolov reduction to osp(1|2) loop superalgebra. The direct and inverse scattering problems are discussed for the corresponding Lax pair. |
1510.08735 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Muneto Nitta, Nobuyuki Sawado | Gravitating BPS Skyrmions | LaTeX: 27 pages, 6 figures; V2: typos corrected | JHEP 1512:013,2015 | 10.1007/JHEP12(2015)013 | null | hep-th hep-ph nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The BPS Skyrme model has many exact analytic solutions in flat space. We
generalize the model to a curved space or spacetime and find that the solutions
can only be BPS for a constant time-time component of the metric tensor. We
find exact solutions on the curved spaces: a 3-sphere and a 3-hyperboloid; and
we further find an analytic gravitating Skyrmion on the 3-sphere. For the case
of a nontrivial time-time component of the metric, we suggest a potential for
which we find analytic solutions on anti-de Sitter and de Sitter spacetimes in
the limit of no gravitational backreaction. We take the gravitational coupling
into account in numerical solutions and show that they are well approximated by
the analytic solutions for weak gravitational coupling.
| [
{
"created": "Thu, 29 Oct 2015 15:25:04 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 2015 10:47:53 GMT",
"version": "v2"
}
] | 2015-12-08 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Sawado",
"Nobuyuki",
""
]
] | The BPS Skyrme model has many exact analytic solutions in flat space. We generalize the model to a curved space or spacetime and find that the solutions can only be BPS for a constant time-time component of the metric tensor. We find exact solutions on the curved spaces: a 3-sphere and a 3-hyperboloid; and we further find an analytic gravitating Skyrmion on the 3-sphere. For the case of a nontrivial time-time component of the metric, we suggest a potential for which we find analytic solutions on anti-de Sitter and de Sitter spacetimes in the limit of no gravitational backreaction. We take the gravitational coupling into account in numerical solutions and show that they are well approximated by the analytic solutions for weak gravitational coupling. |
1412.6517 | Alysson Fabio Ferrari Prof. | M. Dias, A. F. Ferrari, C. A. Palechor, C. R. Senise Jr | A relation between deformed superspace and Lee-Wick higher-derivative
theories | 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a type of non-anticommutative superspace, with the interesting
property of relating to Lee-Wick type of higher derivatives theories, which are
known for their interesting properties, and have lead to proposals of
phenomenologicaly viable higher derivatives extensions of the Standard Model.
The deformation of superspace we consider does not preserve supersymmetry or
associativity in general; however, we show that a non-anticommutative version
of the Wess-Zumino model can be properly defined. In fact, the definition of
chiral and antichiral superfields turns out to be simpler in our case than in
the well known ${\cal N}=1/2$ supersymmetric case. We show that, when the
theory is truncated at the first nontrivial order in the deformation parameter,
supersymmetry is restored, and we end up with a well known Lee-Wick type of
higher derivative extension of the Wess-Zumino model. Thus we show how
non-anticommutative could provide an alternative mechanism for generation of
these kind of higher derivative theories.
| [
{
"created": "Fri, 19 Dec 2014 20:34:41 GMT",
"version": "v1"
}
] | 2014-12-22 | [
[
"Dias",
"M.",
""
],
[
"Ferrari",
"A. F.",
""
],
[
"Palechor",
"C. A.",
""
],
[
"Senise",
"C. R.",
"Jr"
]
] | We propose a type of non-anticommutative superspace, with the interesting property of relating to Lee-Wick type of higher derivatives theories, which are known for their interesting properties, and have lead to proposals of phenomenologicaly viable higher derivatives extensions of the Standard Model. The deformation of superspace we consider does not preserve supersymmetry or associativity in general; however, we show that a non-anticommutative version of the Wess-Zumino model can be properly defined. In fact, the definition of chiral and antichiral superfields turns out to be simpler in our case than in the well known ${\cal N}=1/2$ supersymmetric case. We show that, when the theory is truncated at the first nontrivial order in the deformation parameter, supersymmetry is restored, and we end up with a well known Lee-Wick type of higher derivative extension of the Wess-Zumino model. Thus we show how non-anticommutative could provide an alternative mechanism for generation of these kind of higher derivative theories. |
1703.09672 | Christoph Adam | C. Adam, A. Wereszczynski | Gauged BPS baby Skyrmions with quantised magnetic flux | Latex, 17 pages | Phys. Rev. D 95, 116006 (2017) | 10.1103/PhysRevD.95.116006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new type of gauged BPS baby Skyrme model is presented, where the derivative
term is just the Schroers current (i.e., gauge invariant and conserved version
of the topological current) squared. This class of models has a topological
bound saturated for solutions of the pertinent Bogomolnyi equations
supplemented by a so-called superpotential equation. In contrast to the gauged
BPS baby Skyrme models considered previously, the superpotential equation is
linear and, hence, completely solvable. Furthermore, the magnetic flux is
quantized in units of $2\pi$, which allows, in principle, to define this theory
on a compact manifold without boundary, unlike all gauged baby Skyrme models
considered so far.
| [
{
"created": "Tue, 28 Mar 2017 17:03:54 GMT",
"version": "v1"
}
] | 2017-06-21 | [
[
"Adam",
"C.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | A new type of gauged BPS baby Skyrme model is presented, where the derivative term is just the Schroers current (i.e., gauge invariant and conserved version of the topological current) squared. This class of models has a topological bound saturated for solutions of the pertinent Bogomolnyi equations supplemented by a so-called superpotential equation. In contrast to the gauged BPS baby Skyrme models considered previously, the superpotential equation is linear and, hence, completely solvable. Furthermore, the magnetic flux is quantized in units of $2\pi$, which allows, in principle, to define this theory on a compact manifold without boundary, unlike all gauged baby Skyrme models considered so far. |
hep-th/0210081 | Kimball A. Milton | Kimball A. Milton | Calculating Casimir Energies in Renormalizable Quantum Field Theory | 25 pages, REVTeX4, 1 ps figure. Revision includes new subsection 4B
and Appendix, and other minor corrections | Phys.Rev. D68 (2003) 065020 | 10.1103/PhysRevD.68.065020 | OKHEP-02-05 | hep-th | null | Quantum vacuum energy has been known to have observable consequences since
1948 when Casimir calculated the force of attraction between parallel uncharged
plates, a phenomenon confirmed experimentally with ever increasing precision.
Casimir himself suggested that a similar attractive self-stress existed for a
conducting spherical shell, but Boyer obtained a repulsive stress. Other
geometries and higher dimensions have been considered over the years. Local
effects, and divergences associated with surfaces and edges have been studied
by several authors. Quite recently, Graham et al. have re-examined such
calculations, using conventional techniques of perturbative quantum field
theory to remove divergences, and have suggested that previous self-stress
results may be suspect. Here we show that the examples considered in their work
are misleading; in particular, it is well-known that in two dimensions a
circular boundary has a divergence in the Casimir energy for massless fields,
while for general dimension $D$ not equal to an even integer the corresponding
Casimir energy arising from massless fields interior and exterior to a
hyperspherical shell is finite. It has also long been recognized that the
Casimir energy for massive fields is divergent for $D\ne1$. These conclusions
are reinforced by a calculation of the relevant leading Feynman diagram in $D$
and three dimensions. There is therefore no doubt of the validity of the
conventional finite Casimir calculations.
| [
{
"created": "Tue, 8 Oct 2002 21:48:30 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2002 21:48:48 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Milton",
"Kimball A.",
""
]
] | Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir himself suggested that a similar attractive self-stress existed for a conducting spherical shell, but Boyer obtained a repulsive stress. Other geometries and higher dimensions have been considered over the years. Local effects, and divergences associated with surfaces and edges have been studied by several authors. Quite recently, Graham et al. have re-examined such calculations, using conventional techniques of perturbative quantum field theory to remove divergences, and have suggested that previous self-stress results may be suspect. Here we show that the examples considered in their work are misleading; in particular, it is well-known that in two dimensions a circular boundary has a divergence in the Casimir energy for massless fields, while for general dimension $D$ not equal to an even integer the corresponding Casimir energy arising from massless fields interior and exterior to a hyperspherical shell is finite. It has also long been recognized that the Casimir energy for massive fields is divergent for $D\ne1$. These conclusions are reinforced by a calculation of the relevant leading Feynman diagram in $D$ and three dimensions. There is therefore no doubt of the validity of the conventional finite Casimir calculations. |
2104.15030 | Keiya Ishiguro | Keiya Ishiguro and Hajime Otsuka | Sharpening the Boundaries Between Flux Landscape and Swampland by
Tadpole Charge | 37 pages, 9 figures, published version (v2) | JHEP 12 (2021) 017 | 10.1007/JHEP12(2021)017 | KEK-TH-2322 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the vacuum structure of four-dimensional effective theory
arising from Type IIB flux compactifications on a mirror of the rigid
Calabi-Yau threefold, corresponding to a T-dual of the
DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By
analyzing the vacuum structure of this interesting corner of string landscape,
it turns out that there exist perturbatively unstable de Sitter (dS) vacua in
addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the
other hand, the stable dS vacua appearing in the low-energy effective action
violate the tadpole cancellation condition, indicating a strong correlation
between the existence of dS vacua and the flux-induced D3-brane charge (tadpole
charge). We also find analytically that the tadpole charge constrained by the
tadpole cancellation condition emerges in the scalar potential in a nontrivial
way. Thus, the tadpole charge would restrict the existence of stable dS vacua,
and this fact underlies the statement of the dS conjecture. Furthermore, our
analytical and numerical results exhibit that distributions of ${\cal O}(1)$
parameters in expressions of several swampland conjectures peak at specific
values.
| [
{
"created": "Fri, 30 Apr 2021 14:36:04 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Dec 2021 13:42:59 GMT",
"version": "v2"
}
] | 2022-01-03 | [
[
"Ishiguro",
"Keiya",
""
],
[
"Otsuka",
"Hajime",
""
]
] | We investigate the vacuum structure of four-dimensional effective theory arising from Type IIB flux compactifications on a mirror of the rigid Calabi-Yau threefold, corresponding to a T-dual of the DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By analyzing the vacuum structure of this interesting corner of string landscape, it turns out that there exist perturbatively unstable de Sitter (dS) vacua in addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the other hand, the stable dS vacua appearing in the low-energy effective action violate the tadpole cancellation condition, indicating a strong correlation between the existence of dS vacua and the flux-induced D3-brane charge (tadpole charge). We also find analytically that the tadpole charge constrained by the tadpole cancellation condition emerges in the scalar potential in a nontrivial way. Thus, the tadpole charge would restrict the existence of stable dS vacua, and this fact underlies the statement of the dS conjecture. Furthermore, our analytical and numerical results exhibit that distributions of ${\cal O}(1)$ parameters in expressions of several swampland conjectures peak at specific values. |
hep-th/0211244 | Noah Graham | Noah Graham and Ken D. Olum | Negative Energy Densities in Quantum Field Theory With a Background
Potential | 24 pages, 2 .eps figures; v2: updated with note added in journal,
fixed typos, updated references | Phys.Rev.D67:085014,2003; Erratum-ibid.D69:109901,2004 | 10.1103/PhysRevD.67.085014 10.1103/PhysRevD.69.109901 | null | hep-th | null | We present a general procedure for calculating one-loop ``Casimir'' energy
densities for a scalar field coupled to a fixed potential in renormalized
quantum field theory. We implement direct subtraction of counterterms computed
precisely in dimensional regularization with a definite renormalization scheme.
Our procedure allows us to test quantum field theory energy conditions in the
presence of background potentials spherically symmetric in some dimensions and
independent of others. We explicitly calculate the energy density for several
examples. For a square barrier, we find that the energy is negative and
divergent outside the barrier, but there is a compensating divergent positive
contribution near the barrier on the inside. We also carry out calculations
with exactly solvable $\sech^2$ potentials, which arise in the study of
solitons and domain walls.
| [
{
"created": "Mon, 25 Nov 2002 16:39:53 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2003 16:35:00 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Graham",
"Noah",
""
],
[
"Olum",
"Ken D.",
""
]
] | We present a general procedure for calculating one-loop ``Casimir'' energy densities for a scalar field coupled to a fixed potential in renormalized quantum field theory. We implement direct subtraction of counterterms computed precisely in dimensional regularization with a definite renormalization scheme. Our procedure allows us to test quantum field theory energy conditions in the presence of background potentials spherically symmetric in some dimensions and independent of others. We explicitly calculate the energy density for several examples. For a square barrier, we find that the energy is negative and divergent outside the barrier, but there is a compensating divergent positive contribution near the barrier on the inside. We also carry out calculations with exactly solvable $\sech^2$ potentials, which arise in the study of solitons and domain walls. |
hep-th/0007013 | Fardin Kheirandish | Fardin Kheirandish and Mohammad Khorrami | Logarithmic two dimensional spin-1/3 fractional supersymmetric conformal
field theories and the two point functions | 7 pages, Latex, no figures | Eur.Phys.J.C18:795-797,2001 | 10.1007/s100520100542 | null | hep-th | null | Logarithmic spin-1/3 superconformal field theories are investigated. the
chiral and full two-point functions of two-(or more-) dimensional Jordanian
blocks of arbitrary weights, are obtained.
| [
{
"created": "Mon, 3 Jul 2000 11:53:00 GMT",
"version": "v1"
}
] | 2009-01-07 | [
[
"Kheirandish",
"Fardin",
""
],
[
"Khorrami",
"Mohammad",
""
]
] | Logarithmic spin-1/3 superconformal field theories are investigated. the chiral and full two-point functions of two-(or more-) dimensional Jordanian blocks of arbitrary weights, are obtained. |
hep-th/9705154 | Roberto De Pietri | Luca Lusanna (INFN Florence) | Unified Description and Canonical Reduction to Dirac's Observables of
the Four Interactions | 14 pages, RevTeX | null | null | null | hep-th | null | Talk at the International Workshop ``New Non Perturbative Methods and
Quantization on the Light Cone", Les Houches February 24 - March 7, 1997.
| [
{
"created": "Wed, 21 May 1997 07:56:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lusanna",
"Luca",
"",
"INFN Florence"
]
] | Talk at the International Workshop ``New Non Perturbative Methods and Quantization on the Light Cone", Les Houches February 24 - March 7, 1997. |
1306.5491 | Cheng-Yang Lee | Cheng-Yang Lee | Symmetries of Elko and massive vector fields | Ph.D. thesis. Some results on Elko have been superseded by the more
recent work of Dharam Vir Ahluwalia (arXiv:1305.7509). See appendix E for
details. Typos corrected | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis studies the symmetries and phenomenologies of the massive vector
fields of indefinite spin with both scalar and spin-one degrees of freedom and
Elko. The investigation is conducted by using and extending the quantum field
theory formalism developed by Wigner and Weinberg. In particular, we explore
the possibility that the W^{\pm} and Z bosons have an additional scalar degree
of freedom and show that Elko is a fermionic dark matter candidate. We show
that the massive vector fields of indefinite spin are consistent with Poincare
symmetry and have physically desirable properties that are absent for their
pure spin-one counterpart. Using the new vector fields, the decay of the
W^{\pm} and Z bosons to leptons at tree-level are in agreement with the
Standard Model (SM) predictions. For higher order scattering amplitudes, the
theory has better convergent behaviour than the intermediate vector boson model
and the Fermi theory. Elko has the unusual property that it satisfies the
Klein-Gordon but not the Dirac equation and has mass dimension one instead of
three-half. We show that the Elko fields are local only along a preferred axis
and that they violate Lorentz symmetry. Motivated by the results obtained by
Ahluwalia and Horvath that the Elko spin-sums are covariant under very special
relativity (VSR) transformations, we derive the VSR particle states and quantum
fields. We show that the VSR particles can only interact with the SM particles
through gravity and massive scalar particles thus making them and hence Elko
dark matter candidates.
| [
{
"created": "Mon, 24 Jun 2013 00:25:50 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2013 03:58:50 GMT",
"version": "v2"
}
] | 2013-06-26 | [
[
"Lee",
"Cheng-Yang",
""
]
] | This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory formalism developed by Wigner and Weinberg. In particular, we explore the possibility that the W^{\pm} and Z bosons have an additional scalar degree of freedom and show that Elko is a fermionic dark matter candidate. We show that the massive vector fields of indefinite spin are consistent with Poincare symmetry and have physically desirable properties that are absent for their pure spin-one counterpart. Using the new vector fields, the decay of the W^{\pm} and Z bosons to leptons at tree-level are in agreement with the Standard Model (SM) predictions. For higher order scattering amplitudes, the theory has better convergent behaviour than the intermediate vector boson model and the Fermi theory. Elko has the unusual property that it satisfies the Klein-Gordon but not the Dirac equation and has mass dimension one instead of three-half. We show that the Elko fields are local only along a preferred axis and that they violate Lorentz symmetry. Motivated by the results obtained by Ahluwalia and Horvath that the Elko spin-sums are covariant under very special relativity (VSR) transformations, we derive the VSR particle states and quantum fields. We show that the VSR particles can only interact with the SM particles through gravity and massive scalar particles thus making them and hence Elko dark matter candidates. |
2110.14655 | Panos Betzios | Panos Betzios, Elias Kiritsis and Olga Papadoulaki | Interacting systems and wormholes | 89 pages, discussion on the Hilbert space structure, published
version | null | 10.1007/JHEP02(2022)126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a class of tripartite systems for which two $d$-dimensional QFTs
are cross-coupled via a third $d+1$-dimensional "messenger" QFT. We analyse in
detail the example of a pair of one-dimensional matrix quantum mechanics,
coupled via a two-dimensional theory of the BF-type and compute its partition
function and simple correlators. This construction is extendible in higher
dimensions, using a Chern-Simons "messenger" theory. In all such examples, the
exact partition function acquires a form, speculated to correspond to systems
dual to Euclidean wormholes and the cross correlators are sufficiently soft and
consistent with analogous gravitational calculations. Another variant of the
tripartite system is studied, where the messenger theory is described by a
non-self-interacting (matrix)-field, reaching similar conclusions. While the
Euclidean theories we consider are perfectly consistent, the two possible
analytic continuations into Lorentzian signature (messenger vs. boundary QFT
directions) of the tripartite models, reveal physical features and
"pathologies" resembling those of the expected Lorentzian gravitational
backgrounds.
| [
{
"created": "Wed, 27 Oct 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 2021 13:08:31 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Feb 2022 16:57:07 GMT",
"version": "v3"
}
] | 2022-03-09 | [
[
"Betzios",
"Panos",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Papadoulaki",
"Olga",
""
]
] | We consider a class of tripartite systems for which two $d$-dimensional QFTs are cross-coupled via a third $d+1$-dimensional "messenger" QFT. We analyse in detail the example of a pair of one-dimensional matrix quantum mechanics, coupled via a two-dimensional theory of the BF-type and compute its partition function and simple correlators. This construction is extendible in higher dimensions, using a Chern-Simons "messenger" theory. In all such examples, the exact partition function acquires a form, speculated to correspond to systems dual to Euclidean wormholes and the cross correlators are sufficiently soft and consistent with analogous gravitational calculations. Another variant of the tripartite system is studied, where the messenger theory is described by a non-self-interacting (matrix)-field, reaching similar conclusions. While the Euclidean theories we consider are perfectly consistent, the two possible analytic continuations into Lorentzian signature (messenger vs. boundary QFT directions) of the tripartite models, reveal physical features and "pathologies" resembling those of the expected Lorentzian gravitational backgrounds. |
2110.07300 | Michael Dine | Michael Dine and Yan Yu | Comments on the Transplanckian Censorship Conjecture | 11 pages. References added and repaired | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider some aspects of the Transplanckian Censorship Conjecture, which
states that for theories of quantum gravity which yield a quintessence
universe, there is a limit on the lifetime of the state not too different than
the current Hubble horizon. We consider some aspects of tunneling in the
presence of time-varying fields, and note that lifetimes can be parameterically
quite large. We consider what it might mean to find a quintessence potential in
string theory, and argue that such states are likely to have very long
lifetimes.
| [
{
"created": "Thu, 14 Oct 2021 12:08:09 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2021 21:52:58 GMT",
"version": "v2"
},
{
"created": "Sun, 31 Oct 2021 00:27:19 GMT",
"version": "v3"
}
] | 2021-11-02 | [
[
"Dine",
"Michael",
""
],
[
"Yu",
"Yan",
""
]
] | We consider some aspects of the Transplanckian Censorship Conjecture, which states that for theories of quantum gravity which yield a quintessence universe, there is a limit on the lifetime of the state not too different than the current Hubble horizon. We consider some aspects of tunneling in the presence of time-varying fields, and note that lifetimes can be parameterically quite large. We consider what it might mean to find a quintessence potential in string theory, and argue that such states are likely to have very long lifetimes. |
hep-th/9109028 | null | S. Kalyana Rama | New Special Operators in $W$-Gravity Theories | 15 pages | Mod. Phys. Lett. A6 (1991) 3531-3542 | null | null | hep-th | null | We find new special physical operators of $W_3 -$gravity having non trivial
ghost sectors. Some of these operators may be viewed as the liouville dressings
of the energy operator of the Ising model coupled to {\it 2d~gravity} and this
fills in a gap in the connection between pure $W_3 -$gravity and Ising model
coupled to 2d gravity found in our previous work. We formulate a selection rule
required for the calculation of correlators in $W -$gravity theories. Using
this rule, we construct the non ghost part of the new operators of $W_N
-$gravity and find that they represent the $(N , N+1)$ minimal model operators
from both inside and outside the minimal table. Along the way we obtain the
canonical spectrum of $W_N -$gravity for all $N$ .
| [
{
"created": "Wed, 18 Sep 1991 13:28:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rama",
"S. Kalyana",
""
]
] | We find new special physical operators of $W_3 -$gravity having non trivial ghost sectors. Some of these operators may be viewed as the liouville dressings of the energy operator of the Ising model coupled to {\it 2d~gravity} and this fills in a gap in the connection between pure $W_3 -$gravity and Ising model coupled to 2d gravity found in our previous work. We formulate a selection rule required for the calculation of correlators in $W -$gravity theories. Using this rule, we construct the non ghost part of the new operators of $W_N -$gravity and find that they represent the $(N , N+1)$ minimal model operators from both inside and outside the minimal table. Along the way we obtain the canonical spectrum of $W_N -$gravity for all $N$ . |
hep-th/9301086 | Michael Roesgen | J. Kellendonk, M. R\"osgen, R. Varnhagen | Path Spaces and W-Fusion in Minimal Models | 11 pages, TeX, minor adjustment to journal version, 4 PostScript
figures in tar-archive (appendix, to be printed manually) | Int.J.Mod.Phys.A9:1009-1024,1994 | 10.1142/S0217751X94000467 | BONN-HE-93-04 | hep-th | null | Product forms of characters of Virasoro minimal models are obtained which
factorize into $(2,\odd)\times(3,\even)$ characters. These are related by
generalized Rogers-Ramanujan identities to sum forms allowing for a
quasiparticle interpretation. The corresponding dilogarithm identities are
given and the factorization is used to analyse the related path space structure
as well as the fusion of the maximally extended chiral algebra.
| [
{
"created": "Thu, 21 Jan 1993 22:42:56 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Apr 1998 18:08:53 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Kellendonk",
"J.",
""
],
[
"Rösgen",
"M.",
""
],
[
"Varnhagen",
"R.",
""
]
] | Product forms of characters of Virasoro minimal models are obtained which factorize into $(2,\odd)\times(3,\even)$ characters. These are related by generalized Rogers-Ramanujan identities to sum forms allowing for a quasiparticle interpretation. The corresponding dilogarithm identities are given and the factorization is used to analyse the related path space structure as well as the fusion of the maximally extended chiral algebra. |
hep-th/0112159 | Jorge Ananias Neto | J. Ananias Neto, C. Neves and W. Oliveira | A proposal for a first class conversion formalism based on the
symmetries of the Wess-Zumino terms | Revised version. Title changed for Gauging by symmetries. To appear
in IJMPA | Int.J.Mod.Phys. A18 (2003) 1883-1901 | 10.1142/S0217751X03014010 | DF-UFJF-2001-05 | hep-th | null | We propose a new procedure to embed second class systems by introducing
Wess-Zumino (WZ) fields in order to unveil hidden symmetries existent in the
models. This formalism is based on the direct imposition that the new
Hamiltonian must be invariant by gauge-symmetry transformations. An
interesting feature in this approach is the possibility to find a
representation for the WZ fields in a convenient way, which leads to preserve
the gauge symmetry in the original phase space. Consequently, the
gauge-invariant Hamiltonian can be written only in terms of the original
phase-space variables. In this situation, the WZ variables are only auxiliary
tools that permit to reveal the hidden symmetries present in the original
second class model. We apply this formalism to important physical models: the
reduced-SU(2) Skyrme model, the Chern-Simons-Proca quantum mechanics and the
chiral bosons field theory. In all these systems, the gauge-invariant
Hamiltonians are derived in a very simple way.
| [
{
"created": "Tue, 18 Dec 2001 17:38:40 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2002 21:28:33 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Neto",
"J. Ananias",
""
],
[
"Neves",
"C.",
""
],
[
"Oliveira",
"W.",
""
]
] | We propose a new procedure to embed second class systems by introducing Wess-Zumino (WZ) fields in order to unveil hidden symmetries existent in the models. This formalism is based on the direct imposition that the new Hamiltonian must be invariant by gauge-symmetry transformations. An interesting feature in this approach is the possibility to find a representation for the WZ fields in a convenient way, which leads to preserve the gauge symmetry in the original phase space. Consequently, the gauge-invariant Hamiltonian can be written only in terms of the original phase-space variables. In this situation, the WZ variables are only auxiliary tools that permit to reveal the hidden symmetries present in the original second class model. We apply this formalism to important physical models: the reduced-SU(2) Skyrme model, the Chern-Simons-Proca quantum mechanics and the chiral bosons field theory. In all these systems, the gauge-invariant Hamiltonians are derived in a very simple way. |
1001.0262 | Thomas Hertog | James Hartle, S.W. Hawking, Thomas Hertog | The No-Boundary Measure in the Regime of Eternal Inflation | 29 pages, 8 figures | Phys.Rev.D82:063510,2010 | 10.1103/PhysRevD.82.063510 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The no-boundary wave function (NBWF) specifies a measure for prediction in
cosmology that selects inflationary histories and remains well behaved for
spatially large or infinite universes. This paper explores the predictions of
the NBWF for linear scalar fluctuations about homogeneous and isotropic
backgrounds in models with a single scalar field moving in a quadratic
potential. We treat both the space-time geometry of the universe and the
observers inhabiting it quantum mechanically. We evaluate top-down
probabilities for local observations that are conditioned on the NBWF and on
part of our data as observers of the universe. For models where the most
probable histories do not have a regime of eternal inflation, the NBWF predicts
homogeneity on large scales, a specific non-Gaussian spectrum of observable
fluctuations, and a small amount of inflation in our past. By contrast, for
models where the dominant histories have a regime of eternal inflation, the
NBWF predicts significant inhomogeneity on scales much larger than the present
horizon, a Gaussian spectrum of observable fluctuations, and a long period of
inflation in our past. The absence or presence of local non-Gaussianity
therefore provides information about the global structure of the universe,
assuming the NBWF.
| [
{
"created": "Fri, 1 Jan 2010 22:21:42 GMT",
"version": "v1"
}
] | 2011-04-13 | [
[
"Hartle",
"James",
""
],
[
"Hawking",
"S. W.",
""
],
[
"Hertog",
"Thomas",
""
]
] | The no-boundary wave function (NBWF) specifies a measure for prediction in cosmology that selects inflationary histories and remains well behaved for spatially large or infinite universes. This paper explores the predictions of the NBWF for linear scalar fluctuations about homogeneous and isotropic backgrounds in models with a single scalar field moving in a quadratic potential. We treat both the space-time geometry of the universe and the observers inhabiting it quantum mechanically. We evaluate top-down probabilities for local observations that are conditioned on the NBWF and on part of our data as observers of the universe. For models where the most probable histories do not have a regime of eternal inflation, the NBWF predicts homogeneity on large scales, a specific non-Gaussian spectrum of observable fluctuations, and a small amount of inflation in our past. By contrast, for models where the dominant histories have a regime of eternal inflation, the NBWF predicts significant inhomogeneity on scales much larger than the present horizon, a Gaussian spectrum of observable fluctuations, and a long period of inflation in our past. The absence or presence of local non-Gaussianity therefore provides information about the global structure of the universe, assuming the NBWF. |
hep-th/9604141 | Sergei Ketov | Sergei V. Ketov (ITP, University of Hannover) | One-loop finiteness of the four-dimensional Donaldson-Nair-Schiff
non-linear sigma-model | 11 pages, LaTeX, macros included; revised version | Phys.Lett. B383 (1996) 390-396 | 10.1016/0370-2693(96)00784-8 | DESY 96-071, ITP-UH-05/96 | hep-th | null | The most general four-dimensional non-linear sigma-model, having the
second-order derivatives only and interacting with a background metric and an
antisymmetric tensor field, is constructed. Despite its apparent
non-renormalizability, just imposing the one-loop UV-finiteness conditions
determines the unique model, which may be finite to all orders of the quantum
perturbation theory. This model is known as the four-dimensional
Donaldson-Nair-Schiff theory, which is a four-dimensional analogue of the
standard two-dimensional Wess-Zumino-Novikov-Witten model, and whose unique
finiteness properties and an infinite-dimensional current algebra have long
been suspected.
| [
{
"created": "Tue, 23 Apr 1996 09:39:47 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jun 1996 17:12:43 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 1996 16:27:02 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Ketov",
"Sergei V.",
"",
"ITP, University of Hannover"
]
] | The most general four-dimensional non-linear sigma-model, having the second-order derivatives only and interacting with a background metric and an antisymmetric tensor field, is constructed. Despite its apparent non-renormalizability, just imposing the one-loop UV-finiteness conditions determines the unique model, which may be finite to all orders of the quantum perturbation theory. This model is known as the four-dimensional Donaldson-Nair-Schiff theory, which is a four-dimensional analogue of the standard two-dimensional Wess-Zumino-Novikov-Witten model, and whose unique finiteness properties and an infinite-dimensional current algebra have long been suspected. |
1003.4750 | Juan Antonio Nieto | J. A. Nieto | Oriented matroid theory and loop quantum gravity in (2+2) and eight
dimensions | 13 pages, Latex | Rev. Mex. Fis. 57 (2011) 400-405 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a connection between oriented matroid theory and loop quantum
gravity in (2+2) (two time and two space dimensions) and 8-dimensions. We start
by observing that supersymmetry implies that the structure constants of the
real numbers, complex numbers, quaternions and octonions can be identified with
the chirotope concept. This means, among other things, that normed divisions
algebras, which are only possible in 1,2, 4 or 8-dimensions, are linked to
oriented matroid theory. Therefore, we argue that the possibility for
developing loop quantum gravity in 8-dimensions must be taken as important
alternative. Moreover, we show that in 4-dimensions, loop quantum gravity
theories in the (1+3) or (0+4) signatures are not the only possibilities. In
fact, we show that loop quantum gravity associated with the (2+2)-signature may
also be an interesting physical structure.
| [
{
"created": "Wed, 24 Mar 2010 20:37:30 GMT",
"version": "v1"
}
] | 2014-08-28 | [
[
"Nieto",
"J. A.",
""
]
] | We establish a connection between oriented matroid theory and loop quantum gravity in (2+2) (two time and two space dimensions) and 8-dimensions. We start by observing that supersymmetry implies that the structure constants of the real numbers, complex numbers, quaternions and octonions can be identified with the chirotope concept. This means, among other things, that normed divisions algebras, which are only possible in 1,2, 4 or 8-dimensions, are linked to oriented matroid theory. Therefore, we argue that the possibility for developing loop quantum gravity in 8-dimensions must be taken as important alternative. Moreover, we show that in 4-dimensions, loop quantum gravity theories in the (1+3) or (0+4) signatures are not the only possibilities. In fact, we show that loop quantum gravity associated with the (2+2)-signature may also be an interesting physical structure. |
hep-th/9702020 | Denis Uglov | Denis Uglov | Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of
Dynamical Correlation Functions in the Spin Calogero-Sutherland Model | 26 pages, AMSLatex | Commun.Math.Phys. 193 (1998) 663-696; Commun.Math.Phys. 191 (1998)
663-696 | 10.1007/s002200050283 | null | hep-th cond-mat.str-el math.QA q-alg | null | We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,...
in a unified framework, which is the framework of Symmetric Polynomials. By the
framework we mean an isomorphism between the space of states of the
gl(N)-invariant Calogero-Sutherland Model and the space of Symmetric Laurent
Polynomials. In this framework it becomes apparent that all gl(N)-invariant
Calogero-Sutherland Models are manifestations of the same entity, which is the
commuting family of Macdonald Operators. Macdonald Operators depend on two
parameters $q$ and $t$. The Hamiltonian of gl(N)-invariant Calogero-Sutherland
Model belongs to a degeneration of this family in the limit when both $q$ and
$t$ approach the N-th elementary root of unity. This is a generalization of the
well-known situation in the case of Scalar Calogero-Sutherland Model (N=1). In
the limit the commuting family of Macdonald Operators is identified with the
maximal commutative sub-algebra in the Yangian action on the space of states of
the gl(N)-invariant Calogero-Sutherland Model. The limits of Macdonald
Polynomials which we call gl(N)-Jack Polynomials are eigenvectors of this
sub-algebra and form Yangian Gelfand-Zetlin bases in irreducible components of
the Yangian action. The gl(N)-Jack Polynomials describe the orthogonal
eigenbasis of gl(N)-invariant Calogero-Sutherland Model in exactly the same way
as Jack Polynomials describe the orthogonal eigenbasis of the Scalar Model
(N=1). For each known property of Macdonald Polynomials there is a
corresponding property of gl(N)-Jack Polynomials. As a simplest application of
these properties we compute two-point Dynamical Spin-Density and Density
Correlation Functions in the gl(2)-invariant Calogero-Sutherland Model at
integer values of the coupling constant.
| [
{
"created": "Mon, 3 Feb 1997 15:56:15 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Uglov",
"Denis",
""
]
] | We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,... in a unified framework, which is the framework of Symmetric Polynomials. By the framework we mean an isomorphism between the space of states of the gl(N)-invariant Calogero-Sutherland Model and the space of Symmetric Laurent Polynomials. In this framework it becomes apparent that all gl(N)-invariant Calogero-Sutherland Models are manifestations of the same entity, which is the commuting family of Macdonald Operators. Macdonald Operators depend on two parameters $q$ and $t$. The Hamiltonian of gl(N)-invariant Calogero-Sutherland Model belongs to a degeneration of this family in the limit when both $q$ and $t$ approach the N-th elementary root of unity. This is a generalization of the well-known situation in the case of Scalar Calogero-Sutherland Model (N=1). In the limit the commuting family of Macdonald Operators is identified with the maximal commutative sub-algebra in the Yangian action on the space of states of the gl(N)-invariant Calogero-Sutherland Model. The limits of Macdonald Polynomials which we call gl(N)-Jack Polynomials are eigenvectors of this sub-algebra and form Yangian Gelfand-Zetlin bases in irreducible components of the Yangian action. The gl(N)-Jack Polynomials describe the orthogonal eigenbasis of gl(N)-invariant Calogero-Sutherland Model in exactly the same way as Jack Polynomials describe the orthogonal eigenbasis of the Scalar Model (N=1). For each known property of Macdonald Polynomials there is a corresponding property of gl(N)-Jack Polynomials. As a simplest application of these properties we compute two-point Dynamical Spin-Density and Density Correlation Functions in the gl(2)-invariant Calogero-Sutherland Model at integer values of the coupling constant. |
0810.2374 | Arjun Bagchi | Arjun Bagchi, Turbasu Biswas and Debashis Ghoshal | Contour Integral Representations for the Characters of Logarithmic CFTs | 19 pages | null | null | HRI-P-08-10-001 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a contour integral representation for the one-point correlators at
genus one of the primaries of a family of rational logarithmic conformal field
theories.
| [
{
"created": "Tue, 14 Oct 2008 07:05:03 GMT",
"version": "v1"
}
] | 2008-10-15 | [
[
"Bagchi",
"Arjun",
""
],
[
"Biswas",
"Turbasu",
""
],
[
"Ghoshal",
"Debashis",
""
]
] | We propose a contour integral representation for the one-point correlators at genus one of the primaries of a family of rational logarithmic conformal field theories. |
1303.1108 | Patricio Gaete | H. Belich, L. D. Bernald, Patricio Gaete and J. A. Helay\"el-Neto | The photino sector and a confining potential in a supersymetric
Lorentz-symmetry-violating model | 11 pages, photino dispersion relation is extended to included the
case the photino acquires mass through spontaneous SUSY breaking | null | 10.1140/epjc/s10052-013-2632-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectrum of the minimal supersymmetric extension of the
Carroll-Field-Jackiw model for Electrodynamics with a topological
Chern-Simons-like Lorentz-symmetry violating term. We identify a number of
independent background fermion condensates, work out the gaugino dispersion
relation and propose a photonic effective action to consider aspects of
confinement induced by the SUSY background fermion condensates, which also
appear to signal Lorentz-symmetry violation in the photino sector of the
action. Our calculations of the static potential are carried out within the
framework of the gauge-invariant but path-dependent variables formalism which
are alternative to the Wilson loop approach. Our results show that the
interaction energy contains a linear term leading to the confinement of static
probe charges.
| [
{
"created": "Tue, 5 Mar 2013 17:16:35 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Mar 2013 18:50:58 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Belich",
"H.",
""
],
[
"Bernald",
"L. D.",
""
],
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | We study the spectrum of the minimal supersymmetric extension of the Carroll-Field-Jackiw model for Electrodynamics with a topological Chern-Simons-like Lorentz-symmetry violating term. We identify a number of independent background fermion condensates, work out the gaugino dispersion relation and propose a photonic effective action to consider aspects of confinement induced by the SUSY background fermion condensates, which also appear to signal Lorentz-symmetry violation in the photino sector of the action. Our calculations of the static potential are carried out within the framework of the gauge-invariant but path-dependent variables formalism which are alternative to the Wilson loop approach. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges. |
hep-th/9510002 | null | G. V. Grigoryan, R. P. Grigoryan, I. V. Tyutin | Pseudoclassical theory of Mayorana--Weyl particle | LATEX, 14 pages, no figures, replacement because of e-mail transfer
faults | Phys.Atom.Nucl.59:2212-2217,1996; Yad.Fiz.59N12:2299-2304,1996 | null | Preprint YERPHI-1446(16)-95 | hep-th | null | A pseudoclassical theory of Weyl particle in the space--time dimensions
$D=2n$ is constructed. The canonical quantization of that pseudoclassical
theory is carried out and it results in the theory of the $D=2n$ dimensional
Weyl particle in the Foldy--Wouthuysen representation. A quantum mechanics of
the neutral Weyl particle in even--dimensional space--time is suggested and the
connection of this theory with the theory of Mayorana--Weyl particle in QFT is
discussed for D=10.
| [
{
"created": "Mon, 2 Oct 1995 12:04:56 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 1995 06:49:51 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Oct 1995 07:35:38 GMT",
"version": "v3"
},
{
"created": "Sat, 7 Oct 1995 06:58:59 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Grigoryan",
"G. V.",
""
],
[
"Grigoryan",
"R. P.",
""
],
[
"Tyutin",
"I. V.",
""
]
] | A pseudoclassical theory of Weyl particle in the space--time dimensions $D=2n$ is constructed. The canonical quantization of that pseudoclassical theory is carried out and it results in the theory of the $D=2n$ dimensional Weyl particle in the Foldy--Wouthuysen representation. A quantum mechanics of the neutral Weyl particle in even--dimensional space--time is suggested and the connection of this theory with the theory of Mayorana--Weyl particle in QFT is discussed for D=10. |
2008.10639 | Zolt\'an Tulip\'ant | Zolt\'an Tulip\'ant | Radiation reaction from quantum electrodynamics and its implications for
the Unruh effect | 26 pages | null | 10.1140/epjc/s10052-021-09073-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for
uniformly accelerated charges. However, since an accelerating observer should
detect thermal radiation, the charge should be seen absorbing photons in the
accelerated frame which, if nothing else occurs, would influence its motion.
This means that either there is radiation reaction seen in an inertial frame or
there should be an additional phenomenon seen in the accelerated frame
countering the effect of absorption. In this paper I rederive the
Abraham--Lorentz--Dirac force from quantum electrodynamics, then I study the
case of a uniformly accelerated charge. I show that in the accelerated frame,
in addition to the absorption of photons due to the Unruh effect there should
also be stimulated emission. The net effect of these phenomena on the motion of
the charge is found to be zero.
| [
{
"created": "Mon, 24 Aug 2020 18:18:24 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2020 20:43:03 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Jan 2021 10:05:55 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Mar 2021 11:43:57 GMT",
"version": "v4"
}
] | 2021-04-21 | [
[
"Tulipánt",
"Zoltán",
""
]
] | The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the accelerated frame which, if nothing else occurs, would influence its motion. This means that either there is radiation reaction seen in an inertial frame or there should be an additional phenomenon seen in the accelerated frame countering the effect of absorption. In this paper I rederive the Abraham--Lorentz--Dirac force from quantum electrodynamics, then I study the case of a uniformly accelerated charge. I show that in the accelerated frame, in addition to the absorption of photons due to the Unruh effect there should also be stimulated emission. The net effect of these phenomena on the motion of the charge is found to be zero. |
1803.08861 | Richard Szabo | Richard J. Szabo | Higher Quantum Geometry and Non-Geometric String Theory | 44 pages; v2: some discussions expanded and references added. Based
on Lectures at the School "Quantum Spacetime and Physics Models", Corfu
Summer Institute on Elementary Particle Physics and Gravity, September 2-28,
2017, Corfu, Greece; Final version to be published in Proceedings of Science | null | null | EMPG-18-08 | hep-th math-ph math.MP math.QA math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a concise overview of the physical and mathematical structures
underpinning the appearence of nonassociative deformations of geometry in
non-geometric string theory. Starting from a quick recap of the appearence of
noncommutative product and commutator deformations of geometry in open string
theory with $B$-fields, we argue on physical principles that closed strings
should instead probe triproduct and tribracket deformations in backgrounds of
locally non-geometric fluxes. After describing the toy model of electric
charges moving in fields of smooth distributions of magnetic charge as a
physical introduction to the notions of nonassociative geometry, we review the
description of non-geometric fluxes in generalized geometry and double field
theory, and the worldsheet calculations suggesting the appearence of
nonassociative deformations, together with their caveats. We discuss how
algebroids and their associated AKSZ sigma-models give a description of
non-geometric backgrounds in terms of higher geometry, and consider the
quantization of the membrane sigma-model which geometrizes closed strings with
$R$-flux. From this we derive an explicit nonassociative star product for the
quantum geometry of the closed string phase space, and apply it to derive the
triproducts that appear in conformal field theory correlation functions, to
describe a consistent treatment of nonassociative quantum mechanics, to
demonstrate quantitatively the coarse-graining of spacetime due to $R$-flux,
and to describe the quantization of Nambu brackets. We also briefly review how
these constructions lead to a nonassociative theory of gravity, their uplifts
to non-geometric M-theory, and the role played by $L_\infty$-algebras in these
developments.
| [
{
"created": "Fri, 23 Mar 2018 16:15:01 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2018 11:47:13 GMT",
"version": "v2"
}
] | 2018-03-30 | [
[
"Szabo",
"Richard J.",
""
]
] | We present a concise overview of the physical and mathematical structures underpinning the appearence of nonassociative deformations of geometry in non-geometric string theory. Starting from a quick recap of the appearence of noncommutative product and commutator deformations of geometry in open string theory with $B$-fields, we argue on physical principles that closed strings should instead probe triproduct and tribracket deformations in backgrounds of locally non-geometric fluxes. After describing the toy model of electric charges moving in fields of smooth distributions of magnetic charge as a physical introduction to the notions of nonassociative geometry, we review the description of non-geometric fluxes in generalized geometry and double field theory, and the worldsheet calculations suggesting the appearence of nonassociative deformations, together with their caveats. We discuss how algebroids and their associated AKSZ sigma-models give a description of non-geometric backgrounds in terms of higher geometry, and consider the quantization of the membrane sigma-model which geometrizes closed strings with $R$-flux. From this we derive an explicit nonassociative star product for the quantum geometry of the closed string phase space, and apply it to derive the triproducts that appear in conformal field theory correlation functions, to describe a consistent treatment of nonassociative quantum mechanics, to demonstrate quantitatively the coarse-graining of spacetime due to $R$-flux, and to describe the quantization of Nambu brackets. We also briefly review how these constructions lead to a nonassociative theory of gravity, their uplifts to non-geometric M-theory, and the role played by $L_\infty$-algebras in these developments. |
1904.12480 | Jianxin Lu | Qiang Jia, J. X. Lu, Zihao Wu and Xiaoying Zhu | On D-brane interaction & its related properties | 83 pages, 2 tables, discussion right after eq(168) improved, typos
corrected | Nuclear Physics B953(2020)114947 | 10.1016/j.nuclphysb.2020.114947 | USTC-ICTS-19-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the closed-string cylinder amplitude between one Dp brane and the
other Dp$\prime$ brane, placed parallel at a separation, with each carrying a
general constant worldvolume flux and with $p - p' = 0, 2, 4, 6$ and $p \le 6$.
For the $p = p'$, we show that the main part of the amplitude for $p = p' < 5$
is a special case of that for $p = p' = 5$ or $6$ case. For all other $p - p' =
2, 4, 6$ cases, we show that the amplitude is just a special case of the
corresponding one for $p = p'$ case. Combining both, we obtain the general
formula for the amplitude, which is valid for each of the cases considered and
for arbitrary constant worldvolume fluxes. The corresponding general open
string one-loop annulus amplitude is also obtained by a Jacobi transformation
of the general cylinder one. We give also the general open string pair
production rate. We study the properties of the amplitude such as the nature of
the interaction, the open string tachyonic instability, and the possible open
string pair production and its potential enhancement. In particular, in the
presence of pure magnetic fluxes or magnetic-like fluxes, we find that the
nature of interaction is correlated with the existence of potential open string
tachyonic instability. When the interaction is attractive, there always exists
an open string tachyonic instability when the brane separation reaches the
minimum determined by the so-called tachyonic shift. When the interaction is
repulsive, there is no such instability for any brane separation. We also find
that the enhancement of open string pair production, in the presence of pure
electric fluxes, can occur only for the $p - p' = 2$ case.
| [
{
"created": "Mon, 29 Apr 2019 07:53:41 GMT",
"version": "v1"
},
{
"created": "Fri, 10 May 2019 13:50:30 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Feb 2020 03:14:00 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Jul 2020 07:38:38 GMT",
"version": "v4"
}
] | 2020-07-23 | [
[
"Jia",
"Qiang",
""
],
[
"Lu",
"J. X.",
""
],
[
"Wu",
"Zihao",
""
],
[
"Zhu",
"Xiaoying",
""
]
] | We compute the closed-string cylinder amplitude between one Dp brane and the other Dp$\prime$ brane, placed parallel at a separation, with each carrying a general constant worldvolume flux and with $p - p' = 0, 2, 4, 6$ and $p \le 6$. For the $p = p'$, we show that the main part of the amplitude for $p = p' < 5$ is a special case of that for $p = p' = 5$ or $6$ case. For all other $p - p' = 2, 4, 6$ cases, we show that the amplitude is just a special case of the corresponding one for $p = p'$ case. Combining both, we obtain the general formula for the amplitude, which is valid for each of the cases considered and for arbitrary constant worldvolume fluxes. The corresponding general open string one-loop annulus amplitude is also obtained by a Jacobi transformation of the general cylinder one. We give also the general open string pair production rate. We study the properties of the amplitude such as the nature of the interaction, the open string tachyonic instability, and the possible open string pair production and its potential enhancement. In particular, in the presence of pure magnetic fluxes or magnetic-like fluxes, we find that the nature of interaction is correlated with the existence of potential open string tachyonic instability. When the interaction is attractive, there always exists an open string tachyonic instability when the brane separation reaches the minimum determined by the so-called tachyonic shift. When the interaction is repulsive, there is no such instability for any brane separation. We also find that the enhancement of open string pair production, in the presence of pure electric fluxes, can occur only for the $p - p' = 2$ case. |
0806.3505 | Nikolay Pletnev | I.L. Buchbinder, E.N. Kirillova and N.G. Pletnev | Quantum Equivalence of Massive Antisymmetric Tensor Field Models in
Curved Space | 8 pages, REVTeX file | Phys.Rev.D78:084024,2008 | 10.1103/PhysRevD.78.084024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effective actions for massive rank-2 and rank-3 antisymmetric
tensor field models in curved space-time. These models are classically
equivalent to massive vector field and massive scalar field with minimal
coupling to gravity respectively. We prove that effective action for massive
rank-2 antisymmetric tensor field is exactly equal to one for massive vector
field and effective action for massive rank-3 antisymmetric tensor field is
exactly equal to one for massive scalar field. Prove is based on an identity
for mass-dependent zeta-functions associated with Laplacians acting on
$p$-forms.
| [
{
"created": "Sat, 21 Jun 2008 10:32:45 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2008 04:24:29 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jul 2008 07:04:15 GMT",
"version": "v3"
},
{
"created": "Fri, 11 Jul 2008 11:05:27 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Kirillova",
"E. N.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | We study the effective actions for massive rank-2 and rank-3 antisymmetric tensor field models in curved space-time. These models are classically equivalent to massive vector field and massive scalar field with minimal coupling to gravity respectively. We prove that effective action for massive rank-2 antisymmetric tensor field is exactly equal to one for massive vector field and effective action for massive rank-3 antisymmetric tensor field is exactly equal to one for massive scalar field. Prove is based on an identity for mass-dependent zeta-functions associated with Laplacians acting on $p$-forms. |
2301.08362 | Neil Talwar | Zsolt Gyongyosi, Timothy J. Hollowood, S. Prem Kumar, Andrea
Legramandi, Neil Talwar | The Holographic Map of an Evaporating Black Hole | published version | null | 10.1007/JHEP07(2023)043 | null | hep-th cond-mat.stat-mech gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We construct a holographic map that takes the semi-classical state of an
evaporating black hole and its Hawking radiation to a microscopic model that
reflects the scrambling dynamics of the black hole. The microscopic model is
given by a nested sequence of random unitaries, each one implementing a
scrambling time step of the black hole evolution. Differently from other
models, energy conservation and the thermal nature of the Hawking radiation are
taken into account. We show that the QES formula follows for the entropy of
multiple subsets of the radiation and black hole. We further show that a
version of entanglement wedge reconstruction can be proved by computing
suitable trace norms and quantum fidelities involving the action of a unitary
on a subset of Hawking partners. If the Hawking partner is in an island, its
unitary can be reconstructed by a unitary on the radiation. We also adopt a
similar setup and analyse reconstruction of unitaries acting on an infalling
system.
| [
{
"created": "Thu, 19 Jan 2023 23:52:04 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2024 13:39:21 GMT",
"version": "v2"
}
] | 2024-01-18 | [
[
"Gyongyosi",
"Zsolt",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Legramandi",
"Andrea",
""
],
[
"Talwar",
"Neil",
""
]
] | We construct a holographic map that takes the semi-classical state of an evaporating black hole and its Hawking radiation to a microscopic model that reflects the scrambling dynamics of the black hole. The microscopic model is given by a nested sequence of random unitaries, each one implementing a scrambling time step of the black hole evolution. Differently from other models, energy conservation and the thermal nature of the Hawking radiation are taken into account. We show that the QES formula follows for the entropy of multiple subsets of the radiation and black hole. We further show that a version of entanglement wedge reconstruction can be proved by computing suitable trace norms and quantum fidelities involving the action of a unitary on a subset of Hawking partners. If the Hawking partner is in an island, its unitary can be reconstructed by a unitary on the radiation. We also adopt a similar setup and analyse reconstruction of unitaries acting on an infalling system. |
2405.09804 | Tung Tran | Harold C. Steinacker and Tung Tran | Quantum $\mathfrak{hs}$-Yang-Mills from the IKKT matrix model | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the one-loop effective action of the higher-spin gauge theory
induced by the IKKT matrix model on a $\mathcal{M}^{1,3}\times \mathcal{K}$
background, where $\mathcal{M}^{1,3}$ is an FLRW cosmological spacetime brane
and $\mathcal{K}$ are compact fuzzy extra dimensions. In particular, we show
that all non-abelian ($\mathfrak{hs}$-valued) gauge fields in this model
acquire mass via quantum effects, thus avoiding no-go theorems. This leads to a
massive non-abelian quantum $\mathfrak{hs}$-Yang-Mills theory, whose detailed
structure depends on $\mathcal{K}$. The stabilization of $\mathcal{K}$ at one
loop is understood as a result of the coupling between $\mathcal{K}$ and the
$U(1)$-flux bundle on space-time. This flux stabilization induces the KK scale
into the $\mathcal{N} = 4$ SYM sector of the model, which break superconformal
symmetry.
| [
{
"created": "Thu, 16 May 2024 04:25:47 GMT",
"version": "v1"
}
] | 2024-05-17 | [
[
"Steinacker",
"Harold C.",
""
],
[
"Tran",
"Tung",
""
]
] | We study the one-loop effective action of the higher-spin gauge theory induced by the IKKT matrix model on a $\mathcal{M}^{1,3}\times \mathcal{K}$ background, where $\mathcal{M}^{1,3}$ is an FLRW cosmological spacetime brane and $\mathcal{K}$ are compact fuzzy extra dimensions. In particular, we show that all non-abelian ($\mathfrak{hs}$-valued) gauge fields in this model acquire mass via quantum effects, thus avoiding no-go theorems. This leads to a massive non-abelian quantum $\mathfrak{hs}$-Yang-Mills theory, whose detailed structure depends on $\mathcal{K}$. The stabilization of $\mathcal{K}$ at one loop is understood as a result of the coupling between $\mathcal{K}$ and the $U(1)$-flux bundle on space-time. This flux stabilization induces the KK scale into the $\mathcal{N} = 4$ SYM sector of the model, which break superconformal symmetry. |
hep-th/0309132 | Victor Red'kov | V.V. Kisel, N.G. Tokarevskaya, A.A. Bogush, V.M. Red'kov | Spin 1 Particle in a 15-Component Formalism, Interaction with
Electromagnetic and Gravitational Fields | 36 pages, latex | null | null | null | hep-th | null | A generalized vector particle theory with the use of an extended set of
Lorentz group irredicible representations, including scalar, two 4-vectors, and
antisymmetric 2-rang tensor, is investigated. Initial equations depend upon
four complex parameters $\lambda_{i}$, obeying two supplementary conditions, so
restriction of the model to the case of electrically neutral vector particle is
not a trivial task. A special basis in the space of 15-component wave functions
is found where instead of four $\lambda_{i}$ only one real-valued quantity
$\sigma$, a bilinear combination of $\lambda_{i}$, is presented. This
$\lambda$-parameter is interpreted as an additional electromagnetic
characteristic of a charged vector particle, polarizability. It is shown that
in this basis $C$-operation is reduced to the complex conjugation only, without
any accompanying linear transformation. Restriction to a massless vector
particle is determined.
Extension of the whole theory to the case of Riemannian space-time is
accomplished. Two methods of obtaining corresponding generally covariant wave
equations are elaborated: of tensor- and of tetrad-based ones. Their
equivalence is proved. It is shown that in case of pure curved space-time
models without Cartan torsion no specific additional interaction terms because
of non-flat geometry arise. The conformal symmetry of a massless generally
covariant equation is demonstrated explicitly. A canonical tensor of
energy-momentum $T_{\beta \alpha}$ is constructed, its conservation law happens
to involves the Riemann curvature tensor. Within the framework of known
ambiguity of any energy-momentum tensor, a new tensor $\bar{T}_{\beta \alpha}$
is suggested to be used, which obeys a common conservation law.
| [
{
"created": "Sat, 13 Sep 2003 09:22:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kisel",
"V. V.",
""
],
[
"Tokarevskaya",
"N. G.",
""
],
[
"Bogush",
"A. A.",
""
],
[
"Red'kov",
"V. M.",
""
]
] | A generalized vector particle theory with the use of an extended set of Lorentz group irredicible representations, including scalar, two 4-vectors, and antisymmetric 2-rang tensor, is investigated. Initial equations depend upon four complex parameters $\lambda_{i}$, obeying two supplementary conditions, so restriction of the model to the case of electrically neutral vector particle is not a trivial task. A special basis in the space of 15-component wave functions is found where instead of four $\lambda_{i}$ only one real-valued quantity $\sigma$, a bilinear combination of $\lambda_{i}$, is presented. This $\lambda$-parameter is interpreted as an additional electromagnetic characteristic of a charged vector particle, polarizability. It is shown that in this basis $C$-operation is reduced to the complex conjugation only, without any accompanying linear transformation. Restriction to a massless vector particle is determined. Extension of the whole theory to the case of Riemannian space-time is accomplished. Two methods of obtaining corresponding generally covariant wave equations are elaborated: of tensor- and of tetrad-based ones. Their equivalence is proved. It is shown that in case of pure curved space-time models without Cartan torsion no specific additional interaction terms because of non-flat geometry arise. The conformal symmetry of a massless generally covariant equation is demonstrated explicitly. A canonical tensor of energy-momentum $T_{\beta \alpha}$ is constructed, its conservation law happens to involves the Riemann curvature tensor. Within the framework of known ambiguity of any energy-momentum tensor, a new tensor $\bar{T}_{\beta \alpha}$ is suggested to be used, which obeys a common conservation law. |
hep-th/9507162 | Aldazabal Gerardo | Gerardo Aldazabal | Standard Grand Unification from Superstrings | 7 pages, Latex, no figures. Talk at Susy 95. Paris, May 1995 | null | null | IC/95/202 | hep-th | null | Recent developments about the construction of standard $SO(10)$ and $SU(5)$
grand unified theories from 4-dimensional superstrings are presented. Explicit
techniques involving higher level affine Lie algebras, for obtaining such
stringGUTs from symmetric orbifolds are discussed. Special emphasis is put on
the different constraints and selection rules for model building in this string
framework, trying to disentangle those which are generic from those depending
on the orbifold construction proposed. Some phenomenological implications from
such constraints are briefly discussed.
| [
{
"created": "Fri, 28 Jul 1995 12:44:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aldazabal",
"Gerardo",
""
]
] | Recent developments about the construction of standard $SO(10)$ and $SU(5)$ grand unified theories from 4-dimensional superstrings are presented. Explicit techniques involving higher level affine Lie algebras, for obtaining such stringGUTs from symmetric orbifolds are discussed. Special emphasis is put on the different constraints and selection rules for model building in this string framework, trying to disentangle those which are generic from those depending on the orbifold construction proposed. Some phenomenological implications from such constraints are briefly discussed. |
2306.06163 | Pratik Rath | Chris Akers, Thomas Faulkner, Simon Lin and Pratik Rath | Entanglement of Purification in Random Tensor Networks | 5 pages, double-sided, 5 figures | null | null | null | hep-th cond-mat.stat-mech gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The entanglement of purification $E_P(A\colon B)$ is a powerful correlation
measure, but it is notoriously difficult to compute because it involves an
optimization over all possible purifications. In this paper, we prove a new
inequality: $E_P(A\colon B)\geq \frac{1}{2}S_R^{(2)}(A\colon B)$, where
$S_R^{(n)}(A\colon B)$ is the Renyi reflected entropy. Using this, we compute
$E_P(A\colon B)$ for a large class of random tensor networks at large bond
dimension and show that it is equal to the entanglement wedge cross section
$EW(A\colon B)$, proving a previous conjecture motivated from AdS/CFT.
| [
{
"created": "Fri, 9 Jun 2023 18:00:01 GMT",
"version": "v1"
}
] | 2023-06-13 | [
[
"Akers",
"Chris",
""
],
[
"Faulkner",
"Thomas",
""
],
[
"Lin",
"Simon",
""
],
[
"Rath",
"Pratik",
""
]
] | The entanglement of purification $E_P(A\colon B)$ is a powerful correlation measure, but it is notoriously difficult to compute because it involves an optimization over all possible purifications. In this paper, we prove a new inequality: $E_P(A\colon B)\geq \frac{1}{2}S_R^{(2)}(A\colon B)$, where $S_R^{(n)}(A\colon B)$ is the Renyi reflected entropy. Using this, we compute $E_P(A\colon B)$ for a large class of random tensor networks at large bond dimension and show that it is equal to the entanglement wedge cross section $EW(A\colon B)$, proving a previous conjecture motivated from AdS/CFT. |
hep-th/9406017 | Mikhail Volkov | Mikhail S.Volkov | Einstein-Yang-Mills Sphalerons and Level Crossing | LaTeX, 13 pages + uudecoded compressed file with 3 figures, Zurich
University Preprint ZU-TH 13/94 | Phys.Lett.B334:40-52,1994 | 10.1016/0370-2693(94)90589-4 | null | hep-th gr-qc | null | The fermion energy spectrum along paths which connect topologically distinct
vacua in the Einstein-Yang-Mills theory passing through the gravitational
sphaleron equilibrium solutions is investigated.
| [
{
"created": "Fri, 3 Jun 1994 17:17:22 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Volkov",
"Mikhail S.",
""
]
] | The fermion energy spectrum along paths which connect topologically distinct vacua in the Einstein-Yang-Mills theory passing through the gravitational sphaleron equilibrium solutions is investigated. |
0908.2301 | Jan Kotanski | J. Bartels, J. Kotanski, A.-M. Mischler, V. Schomerus | Regge limit of R-current correlators in AdS Supergravity | 23 pages, 5 figures | null | 10.1016/j.nuclphysb.2009.12.023 | DESY-09-118 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-point functions of R-currents are discussed within Anti-de Sitter
supergravity. In particular, we compute Witten diagrams with graviton and gauge
boson exchange in the high energy Regge limit. Assuming validity of the AdS/CFT
correspondence, our results apply to R-current four-point functions of N=4
super Yang-Mills theory at strong coupling.
| [
{
"created": "Mon, 17 Aug 2009 08:03:11 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Bartels",
"J.",
""
],
[
"Kotanski",
"J.",
""
],
[
"Mischler",
"A. -M.",
""
],
[
"Schomerus",
"V.",
""
]
] | Four-point functions of R-currents are discussed within Anti-de Sitter supergravity. In particular, we compute Witten diagrams with graviton and gauge boson exchange in the high energy Regge limit. Assuming validity of the AdS/CFT correspondence, our results apply to R-current four-point functions of N=4 super Yang-Mills theory at strong coupling. |
2211.16045 | Freek Witteveen | Geoff Penington, Michael Walter, Freek Witteveen | Fun with replicas: tripartitions in tensor networks and gravity | 28 pages, 10 figures | J. High Energ. Phys. 2023, 8 (2023) | 10.1007/JHEP05(2023)008 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new correlation measure for tripartite pure states that we
call $G(A:B:C)$. The quantity is symmetric with respect to the subsystems $A$,
$B$, $C$, invariant under local unitaries, and is bounded from above by $\log
d_A d_B$. For random tensor network states, we prove that $G(A:B:C)$ is equal
to the size of the minimal tripartition of the tensor network, i.e., the
logarithmic bond dimension of the smallest cut that partitions the network into
three components with $A$, $B$, and $C$. We argue that for holographic states
with a fixed spatial geometry, $G(A:B:C)$ is similarly computed by the minimal
area tripartition. For general holographic states, $G(A:B:C)$ is determined by
the minimal area tripartition in a backreacted geometry, but a smoothed version
is equal to the minimal tripartition in an unbackreacted geometry at leading
order. We briefly discuss a natural family of quantities $G_n(A:B:C)$ for
integer $n \geq 2$ that generalize $G=G_2$. In holography, the computation of
$G_n(A:B:C)$ for $n>2$ spontaneously breaks part of a $\mathbb{Z}_n \times
\mathbb{Z}_n$ replica symmetry. This prevents any naive application of the
Lewkowycz-Maldacena trick in a hypothetical analytic continuation to $n=1$.
| [
{
"created": "Tue, 29 Nov 2022 09:30:27 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2023 17:42:50 GMT",
"version": "v2"
}
] | 2024-02-27 | [
[
"Penington",
"Geoff",
""
],
[
"Walter",
"Michael",
""
],
[
"Witteveen",
"Freek",
""
]
] | We introduce a new correlation measure for tripartite pure states that we call $G(A:B:C)$. The quantity is symmetric with respect to the subsystems $A$, $B$, $C$, invariant under local unitaries, and is bounded from above by $\log d_A d_B$. For random tensor network states, we prove that $G(A:B:C)$ is equal to the size of the minimal tripartition of the tensor network, i.e., the logarithmic bond dimension of the smallest cut that partitions the network into three components with $A$, $B$, and $C$. We argue that for holographic states with a fixed spatial geometry, $G(A:B:C)$ is similarly computed by the minimal area tripartition. For general holographic states, $G(A:B:C)$ is determined by the minimal area tripartition in a backreacted geometry, but a smoothed version is equal to the minimal tripartition in an unbackreacted geometry at leading order. We briefly discuss a natural family of quantities $G_n(A:B:C)$ for integer $n \geq 2$ that generalize $G=G_2$. In holography, the computation of $G_n(A:B:C)$ for $n>2$ spontaneously breaks part of a $\mathbb{Z}_n \times \mathbb{Z}_n$ replica symmetry. This prevents any naive application of the Lewkowycz-Maldacena trick in a hypothetical analytic continuation to $n=1$. |
1105.4482 | Christopher Eling | Goffredo Chirco, Christopher Eling, and Stefano Liberati | Higher Curvature Gravity and the Holographic fluid dual to flat
spacetime | 13 pages; v2: modified abstract, added references; v3: added
clarifying comments, modified discussion | JHEP 1108:009,2011 | 10.1007/JHEP08(2011)009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent works have demonstrated that one can construct a (d+2) dimensional
solution of the vacuum Einstein equations that is dual to a (d+1) dimensional
fluid satisfying the incompressible Navier-Stokes equations. In one important
example, the fluid lives on a fixed timelike surface in the flat Rindler
spacetime associated with an accelerated observer. In this paper, we show that
the shear viscosity to entropy density ratio of the fluid takes the universal
value 1/4\pi in a wide class of higher curvature generalizations to Einstein
gravity. Unlike the fluid dual to asymptotically anti-de Sitter spacetimes,
here the choice of gravitational dynamics only affects the second order
transport coefficients. We explicitly calculate these in five-dimensional
Einstein-Gauss-Bonnet gravity and discuss the implications of our results.
| [
{
"created": "Mon, 23 May 2011 12:49:08 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2011 10:18:33 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jul 2011 20:54:07 GMT",
"version": "v3"
}
] | 2011-08-05 | [
[
"Chirco",
"Goffredo",
""
],
[
"Eling",
"Christopher",
""
],
[
"Liberati",
"Stefano",
""
]
] | Recent works have demonstrated that one can construct a (d+2) dimensional solution of the vacuum Einstein equations that is dual to a (d+1) dimensional fluid satisfying the incompressible Navier-Stokes equations. In one important example, the fluid lives on a fixed timelike surface in the flat Rindler spacetime associated with an accelerated observer. In this paper, we show that the shear viscosity to entropy density ratio of the fluid takes the universal value 1/4\pi in a wide class of higher curvature generalizations to Einstein gravity. Unlike the fluid dual to asymptotically anti-de Sitter spacetimes, here the choice of gravitational dynamics only affects the second order transport coefficients. We explicitly calculate these in five-dimensional Einstein-Gauss-Bonnet gravity and discuss the implications of our results. |
hep-th/0309137 | Alexander Belavin | A.A.Belavin, V.A.Belavin, A.V.Litvinov, Y.P.Pugai and
Al.B.Zamolodchikov | On correlation functions in the perturbed minimal models M(2,2n+1) | 34pages,5 figures,LaTeX, minor changes | Nucl.Phys. B676 (2004) 587-614 | 10.1016/j.nuclphysb.2003.10.013 | Landau-TMP 01/03 | hep-th cond-mat.stat-mech math-ph math.MP math.QA | null | Two-point correlation functions of spin operators in the minimal models
${{\cal M}}_{p,p'}$ perturbed by the field $\Phi_{13}$ are studied in the
framework of conformal perturbation theory. The first-order corrections for the
structure functions are derived analytically in terms of gamma functions.
Together with the exact vacuum expectation values of local operators, this
gives the short-distance expansion of the correlation functions. The
long-distance behaviors of these correlation functions in the case ${{\cal
M}}_{2,2n+1}$ have been worked out using a form-factor bootstrap approach.
The results of numerical calculations demonstrate that the short- and
long-distance expansions match at the intermediate distances. Including the
descendent operators in the OPE drastically improves the convergency region.
The combination of the two methods thus describes the correlation functions at
all length scales with good precision.
| [
{
"created": "Sun, 14 Sep 2003 16:59:20 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2003 17:11:37 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Oct 2003 11:58:51 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Jan 2004 11:51:04 GMT",
"version": "v4"
}
] | 2015-06-26 | [
[
"Belavin",
"A. A.",
""
],
[
"Belavin",
"V. A.",
""
],
[
"Litvinov",
"A. V.",
""
],
[
"Pugai",
"Y. P.",
""
],
[
"Zamolodchikov",
"Al. B.",
""
]
] | Two-point correlation functions of spin operators in the minimal models ${{\cal M}}_{p,p'}$ perturbed by the field $\Phi_{13}$ are studied in the framework of conformal perturbation theory. The first-order corrections for the structure functions are derived analytically in terms of gamma functions. Together with the exact vacuum expectation values of local operators, this gives the short-distance expansion of the correlation functions. The long-distance behaviors of these correlation functions in the case ${{\cal M}}_{2,2n+1}$ have been worked out using a form-factor bootstrap approach. The results of numerical calculations demonstrate that the short- and long-distance expansions match at the intermediate distances. Including the descendent operators in the OPE drastically improves the convergency region. The combination of the two methods thus describes the correlation functions at all length scales with good precision. |
hep-th/9605175 | Masato Hisakado | Masato Hisakado, Miki Wadati | Matrix Models of Two-dimensional Gravity and Discrete Toda Theory | 10 pages, Latex file | Mod.Phys.Lett. A11 (1996) 1797-1806 | 10.1142/S0217732396001788 | null | hep-th | null | Recursion relations for orthogonal polynominals, arising in the study of the
one-matrix model of two-dimensional gravity, are shown to be equvalent to the
equations of the Toda-chain hierarchy supplemented by additional Virasoro
constraints. This is the case without the double scaling limit. A discrete time
variable to the matrix model is introduced. The discrete time dependent
partition functions are given by $\tau$ functions which satisfy the discrete
Toda molecule equation. Further the relations between the matrix model and the
discrete time Toda theory are discussed.
| [
{
"created": "Thu, 23 May 1996 05:39:25 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Hisakado",
"Masato",
""
],
[
"Wadati",
"Miki",
""
]
] | Recursion relations for orthogonal polynominals, arising in the study of the one-matrix model of two-dimensional gravity, are shown to be equvalent to the equations of the Toda-chain hierarchy supplemented by additional Virasoro constraints. This is the case without the double scaling limit. A discrete time variable to the matrix model is introduced. The discrete time dependent partition functions are given by $\tau$ functions which satisfy the discrete Toda molecule equation. Further the relations between the matrix model and the discrete time Toda theory are discussed. |
hep-th/9912115 | Hossein Motavali | Hadi Salehi | Translocality and a Duality Principle in Generally Covariant Quantum
Field Theory | 12 pages. To appear in Classical Quantum Gravity | Class.Quant.Grav. 17 (2000) 825-834 | 10.1088/0264-9381/17/4/307 | null | hep-th | null | It is argued that the formal rules of correspondence between local
observation procedures and observables do not exhaust the entire physical
content of generally covariant quantum field theory. This result is obtained by
expressing the distinguishing features of the local kinematical structure of
quantum field theory in the generally covariant context in terms of a
translocal structure which carries the totality of the nonlocal kinematical
informations in a local region. This gives rise to a duality principle at the
dynamical level which emphasizes the significance of the underlying translocal
structure for modelling a minimal algebra around a given point. We discuss the
emergence of classical properties from this point of view.
| [
{
"created": "Tue, 14 Dec 1999 09:24:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Salehi",
"Hadi",
""
]
] | It is argued that the formal rules of correspondence between local observation procedures and observables do not exhaust the entire physical content of generally covariant quantum field theory. This result is obtained by expressing the distinguishing features of the local kinematical structure of quantum field theory in the generally covariant context in terms of a translocal structure which carries the totality of the nonlocal kinematical informations in a local region. This gives rise to a duality principle at the dynamical level which emphasizes the significance of the underlying translocal structure for modelling a minimal algebra around a given point. We discuss the emergence of classical properties from this point of view. |
1304.0484 | Ahmet Emir Gumrukcuoglu | Antonio De Felice, A. Emir Gumrukcuoglu, Chunshan Lin, Shinji
Mukohyama | On the cosmology of massive gravity | 20 pages, prepared for CQG focus issue ; v2: Published version | Class.Quant.Grav. 30 (2013) 184004 | 10.1088/0264-9381/30/18/184004 | IPMU13-0072 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a review of cosmological solutions in non-linear massive gravity,
focusing on the stability of perturbations. Although homogeneous and isotropic
solutions have been found, these are now known to suffer from either Higuchi
ghost or a new non-linear ghost instability. We discuss two approaches to
alleviate this issue. By relaxing the symmetry of the background by e.g.
breaking isotropy in the hidden sector, it is possible to accommodate a stable
cosmological solution. Alternatively, extending the theory to allow for new
dynamical degrees of freedom can also remove the conditions which lead to the
instability. As examples for this case, we study the stability of
self-accelerating solutions in the quasi-dilatonic extension and generic
cosmological solutions in the varying mass extension. While the quasi-dilaton
case turns out to be unstable, the varying mass case allows stable regimes of
parameters. Viable self-accelerating solutions in the varying mass theory yet
remain to be found.
| [
{
"created": "Mon, 1 Apr 2013 21:31:08 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 2013 11:43:05 GMT",
"version": "v2"
}
] | 2013-09-12 | [
[
"De Felice",
"Antonio",
""
],
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Lin",
"Chunshan",
""
],
[
"Mukohyama",
"Shinji",
""
]
] | We present a review of cosmological solutions in non-linear massive gravity, focusing on the stability of perturbations. Although homogeneous and isotropic solutions have been found, these are now known to suffer from either Higuchi ghost or a new non-linear ghost instability. We discuss two approaches to alleviate this issue. By relaxing the symmetry of the background by e.g. breaking isotropy in the hidden sector, it is possible to accommodate a stable cosmological solution. Alternatively, extending the theory to allow for new dynamical degrees of freedom can also remove the conditions which lead to the instability. As examples for this case, we study the stability of self-accelerating solutions in the quasi-dilatonic extension and generic cosmological solutions in the varying mass extension. While the quasi-dilaton case turns out to be unstable, the varying mass case allows stable regimes of parameters. Viable self-accelerating solutions in the varying mass theory yet remain to be found. |
1604.06080 | Bernd Schroers | Rogelio Jante and Bernd J Schroers | Spectral Properties of Schwarzschild Instantons | 26 pages, 2 figures, 2 tables | null | 10.1088/0264-9381/33/20/205008 | EMPG-16-10 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study spectral properties of the Dirac and scalar Laplace operator on the
Euclidean Schwarzschild space, both twisted by a family of abelian connections
with anti-self-dual curvature. We show that the zero-modes of the gauged Dirac
operator, first studied by Pope, take a particularly simple form in terms of
the radius of the Euclidean time orbits, and interpret them in the context of
geometric models of matter. For the gauged Laplace operator, we study the
spectrum of bound states numerically and observe that it can be approximated
with remarkable accuracy by that of the exactly solvable gauged Laplace
operator on the Euclidean Taub-NUT space.
| [
{
"created": "Wed, 20 Apr 2016 19:50:59 GMT",
"version": "v1"
}
] | 2016-10-05 | [
[
"Jante",
"Rogelio",
""
],
[
"Schroers",
"Bernd J",
""
]
] | We study spectral properties of the Dirac and scalar Laplace operator on the Euclidean Schwarzschild space, both twisted by a family of abelian connections with anti-self-dual curvature. We show that the zero-modes of the gauged Dirac operator, first studied by Pope, take a particularly simple form in terms of the radius of the Euclidean time orbits, and interpret them in the context of geometric models of matter. For the gauged Laplace operator, we study the spectrum of bound states numerically and observe that it can be approximated with remarkable accuracy by that of the exactly solvable gauged Laplace operator on the Euclidean Taub-NUT space. |
hep-th/0312125 | Mary K. Gaillard | Mary K. Gaillard, Joel Giedt and Aleksey L. Mints | Modular Invariant Gaugino Condensation in the Presence of an Anomalous
U(1) | 73 pages, full postscript also available from
http://phyweb.lbl.gov/theorygroup/papers/53960.ps | Nucl.Phys.B700:205-270,2004; Erratum-ibid.B713:607-608,2005 | 10.1016/j.nuclphysb.2004.08.042 10.1016/j.nuclphysb.2005.02.015 | LBNL-53960, UCB-PTH-03/29 | hep-th hep-ph | null | Starting from the previously constructed effective supergravity theory below
the scale of U(1) breaking in orbifold compactifications of the weakly coupled
heterotic string, we study the effective theory below the scale of
supersymmetry breaking by gaugino and matter condensation in a hidden sector.
Issues we address include vacuum stability, soft supersymmetry-breaking masses
in the observable sector, and the masses of the various moduli fields,
including those associated with flat directions at the U(1)-breaking scale, and
of their fermionic superpartners. The consistent treatment of U(1) breaking
together with condensation yields qualitatively new results.
| [
{
"created": "Fri, 12 Dec 2003 20:40:26 GMT",
"version": "v1"
},
{
"created": "Mon, 24 May 2004 23:17:01 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Gaillard",
"Mary K.",
""
],
[
"Giedt",
"Joel",
""
],
[
"Mints",
"Aleksey L.",
""
]
] | Starting from the previously constructed effective supergravity theory below the scale of U(1) breaking in orbifold compactifications of the weakly coupled heterotic string, we study the effective theory below the scale of supersymmetry breaking by gaugino and matter condensation in a hidden sector. Issues we address include vacuum stability, soft supersymmetry-breaking masses in the observable sector, and the masses of the various moduli fields, including those associated with flat directions at the U(1)-breaking scale, and of their fermionic superpartners. The consistent treatment of U(1) breaking together with condensation yields qualitatively new results. |
2407.06104 | David Garc\'ia-Fari\~na | David Garcia-Fari\~na, Karl Landsteiner, Pau G. Romeu and Pablo
Saura-Bastida | Pseudospectra of complex momentum modes | 36 pages, 11 figures | null | null | IFT-UAM/CSIC-24-100 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We initiate the study of stability and pseudospectra of complex momentum
modes of asymptotically anti-de Sitter black holes. Similar to quasinormal
modes, these can be defined as the poles of the holographic Green's function,
albeit for real frequency and complex momentum. Their pseudospectra are in
stark contrast to the pseudospectra of quasinormal modes of AdS black holes.
Contrary to the case of quasinormal mode pseudospectra, the resolvent is
well-defined, and the numerical approximation shows fast convergence. At zero
frequency, complex momentum modes are stable normal modes of a Hermitian
operator. Even for large frequencies, they show only comparatively mild
spectral instability. We also find that local potential perturbations cannot
destabilize the lowest complex momentum mode.
| [
{
"created": "Mon, 8 Jul 2024 16:41:10 GMT",
"version": "v1"
}
] | 2024-07-09 | [
[
"Garcia-Fariña",
"David",
""
],
[
"Landsteiner",
"Karl",
""
],
[
"Romeu",
"Pau G.",
""
],
[
"Saura-Bastida",
"Pablo",
""
]
] | We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green's function, albeit for real frequency and complex momentum. Their pseudospectra are in stark contrast to the pseudospectra of quasinormal modes of AdS black holes. Contrary to the case of quasinormal mode pseudospectra, the resolvent is well-defined, and the numerical approximation shows fast convergence. At zero frequency, complex momentum modes are stable normal modes of a Hermitian operator. Even for large frequencies, they show only comparatively mild spectral instability. We also find that local potential perturbations cannot destabilize the lowest complex momentum mode. |
1607.07413 | Tiago Ribeiro da Silva Santos | Tiago R. S. Santos and Rodrigo F. Sobreiro | Gauge anomalies in Lorentz-violating QED | 17 pages | Phys. Rev. D 94, 125020 (2016) | 10.1103/PhysRevD.94.125020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the issue of gauge anomalies in Lorentz-violating QED.
To do so, we opt to use the Becchi-Rouet-Stora-Tyutin formalism within the
algebraic renormalization approach, reducing our study to a cohomology problem.
Since this approach is independent of the renormalization scheme, the results
obtained here are expected to be general. We find that the Lorentz-violating
QED is free of gauge anomalies to all orders in perturbation theory.
| [
{
"created": "Mon, 25 Jul 2016 19:09:13 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Dec 2016 14:26:20 GMT",
"version": "v2"
}
] | 2017-01-04 | [
[
"Santos",
"Tiago R. S.",
""
],
[
"Sobreiro",
"Rodrigo F.",
""
]
] | In this work we study the issue of gauge anomalies in Lorentz-violating QED. To do so, we opt to use the Becchi-Rouet-Stora-Tyutin formalism within the algebraic renormalization approach, reducing our study to a cohomology problem. Since this approach is independent of the renormalization scheme, the results obtained here are expected to be general. We find that the Lorentz-violating QED is free of gauge anomalies to all orders in perturbation theory. |
1202.1984 | Marco Bill\'o | M. Billo, M. Caselle, F. Gliozzi, M. Meineri and R. Pellegrini | The Lorentz-invariant boundary action of the confining string and its
universal contribution to the inter-quark potential | 17 pages, 5 figures, LateX 2e. V2: Final version published on JHEP.
Fixed typos in eq.s 2.2, 2.3, 3.7, 3.8, A.4. Extended explanation of the
procedures used in sec 2 to determine the possible boundary terms up to field
redefinitions and of the procedure used in sec 4 to take the continuum limit.
V3: typos corrected in eq.s (4.3) (4.5) and (4.6), acknowledgements added | JHEP05(2012)130 | 10.1007/JHEP05(2012)130 | DFTT/02/2012 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the boundary contribution to the low energy effective action of the
open string describing the confining flux tube in gauge theories. The form of
the boundary terms is strongly constrained by the requirement of Lorentz
symmetry, which is spontaneously broken by the formation of a long confining
flux tube in the vacuum. Writing the boundary action as an expansion in the
derivatives of the Nambu-Goldstone modes describing the transverse fluctuations
of the string, we single out and put in a closed form the first few Lorentz
invariant boundary terms. We also evaluate the leading deviation from the
Nambu-Goto string produced by the boundary action on the vacuum expectation
value of the Wilson loop and we test this prediction in the 3d Ising gauge
model. Our simulation attains a level of precision which is sufficient to test
the contribution of this term.
| [
{
"created": "Thu, 9 Feb 2012 13:46:27 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2012 14:23:01 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Sep 2013 14:16:20 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Billo",
"M.",
""
],
[
"Caselle",
"M.",
""
],
[
"Gliozzi",
"F.",
""
],
[
"Meineri",
"M.",
""
],
[
"Pellegrini",
"R.",
""
]
] | We study the boundary contribution to the low energy effective action of the open string describing the confining flux tube in gauge theories. The form of the boundary terms is strongly constrained by the requirement of Lorentz symmetry, which is spontaneously broken by the formation of a long confining flux tube in the vacuum. Writing the boundary action as an expansion in the derivatives of the Nambu-Goldstone modes describing the transverse fluctuations of the string, we single out and put in a closed form the first few Lorentz invariant boundary terms. We also evaluate the leading deviation from the Nambu-Goto string produced by the boundary action on the vacuum expectation value of the Wilson loop and we test this prediction in the 3d Ising gauge model. Our simulation attains a level of precision which is sufficient to test the contribution of this term. |
hep-th/9906175 | Cyrus C. Taylor | M. A. Hartman and C. C. Taylor | Light Meson Mass Spectrum from Gauge Fields on Supergravity Backgrounds | 8 pages including 1 Table | null | null | null | hep-th hep-ph | null | We propose that the spectrum of light mesons (the $\pi$ and $\rho$, together
with their radial excitations) can be calculated in the limit of vanishing
light quark masses by studying gauge theory (open string theory) on suitable
higher dimensional background geometries. Using the metric proposed by Witten
for glueball calculations as a paradigmatic example, we find a spectrum which
is in startlingly good agreement with the masses tabulated by the Particle Data
Group. These calculations have only one free parameter, corresponding to the
overall mass scale. We make predictions for the next several particles in the
spectrum.
| [
{
"created": "Wed, 23 Jun 1999 01:15:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hartman",
"M. A.",
""
],
[
"Taylor",
"C. C.",
""
]
] | We propose that the spectrum of light mesons (the $\pi$ and $\rho$, together with their radial excitations) can be calculated in the limit of vanishing light quark masses by studying gauge theory (open string theory) on suitable higher dimensional background geometries. Using the metric proposed by Witten for glueball calculations as a paradigmatic example, we find a spectrum which is in startlingly good agreement with the masses tabulated by the Particle Data Group. These calculations have only one free parameter, corresponding to the overall mass scale. We make predictions for the next several particles in the spectrum. |
hep-th/9312053 | null | Raffaele Marotta and Franco Pezzella | On the Zero-Slope Limit of the Compactified Closed Bosonic String | 10 pages, LaTex file, DSF-T-43/93 | Phys.Rev.D50:2779-2783,1994 | 10.1103/PhysRevD.50.2779 | null | hep-th | null | In the framework of the compactified closed bosonic string theory with the
extra spatial coordinates being circular with radius $R$, we perform both the
zero-slope limit and the $R \rightarrow 0$ limit of the tree scattering
amplitude of four massless scalar particles. We explicitly show that this
double limit leads to amplitudes involving scalars which interact through the
exchange of a scalar, spin 1 and spin 2 particle. In particular, this latter
case reproduces the same result obtained in linearized quantum gravity.
| [
{
"created": "Tue, 7 Dec 1993 14:14:00 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Marotta",
"Raffaele",
""
],
[
"Pezzella",
"Franco",
""
]
] | In the framework of the compactified closed bosonic string theory with the extra spatial coordinates being circular with radius $R$, we perform both the zero-slope limit and the $R \rightarrow 0$ limit of the tree scattering amplitude of four massless scalar particles. We explicitly show that this double limit leads to amplitudes involving scalars which interact through the exchange of a scalar, spin 1 and spin 2 particle. In particular, this latter case reproduces the same result obtained in linearized quantum gravity. |
hep-th/9502015 | null | J.S.Dowker and J.S.Apps | Further functional determinants | 25 p,JyTex,5 figs. on request. | Class.Quant.Grav.12:1363-1383,1995 | 10.1088/0264-9381/12/6/005 | MUTP/95/1 | hep-th | null | Functional determinants for the scalar Laplacian on spherical caps and
slices, flat balls, shells and generalised cylinders are evaluated in two,
three and four dimensions using conformal techniques. Both Dirichlet and Robin
boundary conditions are allowed for. Some effects of non-smooth boundaries are
discussed; in particular the 3-hemiball and the 3-hemishell are considered. The
edge and vertex contributions to the $C_{3/2}$ coefficient are examined.
| [
{
"created": "Thu, 2 Feb 1995 14:50:39 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Dowker",
"J. S.",
""
],
[
"Apps",
"J. S.",
""
]
] | Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalised cylinders are evaluated in two, three and four dimensions using conformal techniques. Both Dirichlet and Robin boundary conditions are allowed for. Some effects of non-smooth boundaries are discussed; in particular the 3-hemiball and the 3-hemishell are considered. The edge and vertex contributions to the $C_{3/2}$ coefficient are examined. |
1512.06569 | Stefano Bellucci | S. Bellucci, A. A. Saharian, V. Vardanyan | Hadamard function and the vacuum currents in braneworlds with compact
dimensions: Two-branes geometry | 29 pages, 7 figures, PACS numbers: 04.62.+v, 04.50.-h, 11.10.Kk,
11.25.-w. arXiv admin note: text overlap with arXiv:1508.07255 | Phys. Rev. D 93, 084011 (2016) | 10.1103/PhysRevD.93.084011 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the Hadamard function and the vacuum expectation value (VEV) of
the current density for a charged scalar field in the region between two
co-dimension one branes on the background of locally AdS spacetime with an
arbitrary number of toroidally compactified spatial dimensions. Along compact
dimensions periodicity conditions are considered with general values of the
phases and on the branes Robin boundary conditions are imposed for the field
operator. In addition, we assume the presence of a constant gauge field. The
latter gives rise to Aharonov-Bohm type effect on the vacuum currents. There
exists a range in the space of the Robin coefficients for separate branes where
the vacuum state becomes unstable. Compared to the case of the standard AdS
bulk, in models with compact dimensions the stability condition imposed on the
parameters is less restrictive. The current density has nonzero components
along compact dimensions only. These components are decomposed into the
brane-free and brane-induced contributions. The component along a given compact
dimension is a periodic function of the gauge field flux, enclosed by that
dimension, with the period of the flux quantum. An important feature, that
distinguishes the current density from the expectation values of the field
squared and energy-momentum tensor, is its finiteness on the branes. In
particular, for Dirichlet boundary condition the current density vanishes on
the branes. We show that, depending on the constants in the boundary
conditions, the presence of the branes may either increase or decrease the
current density compared with that for the brane-free geometry. Applications
are given to the Randall--Sundrum 2-brane model with extra compact dimensions.
| [
{
"created": "Mon, 21 Dec 2015 10:34:06 GMT",
"version": "v1"
}
] | 2016-04-13 | [
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Vardanyan",
"V.",
""
]
] | We evaluate the Hadamard function and the vacuum expectation value (VEV) of the current density for a charged scalar field in the region between two co-dimension one branes on the background of locally AdS spacetime with an arbitrary number of toroidally compactified spatial dimensions. Along compact dimensions periodicity conditions are considered with general values of the phases and on the branes Robin boundary conditions are imposed for the field operator. In addition, we assume the presence of a constant gauge field. The latter gives rise to Aharonov-Bohm type effect on the vacuum currents. There exists a range in the space of the Robin coefficients for separate branes where the vacuum state becomes unstable. Compared to the case of the standard AdS bulk, in models with compact dimensions the stability condition imposed on the parameters is less restrictive. The current density has nonzero components along compact dimensions only. These components are decomposed into the brane-free and brane-induced contributions. The component along a given compact dimension is a periodic function of the gauge field flux, enclosed by that dimension, with the period of the flux quantum. An important feature, that distinguishes the current density from the expectation values of the field squared and energy-momentum tensor, is its finiteness on the branes. In particular, for Dirichlet boundary condition the current density vanishes on the branes. We show that, depending on the constants in the boundary conditions, the presence of the branes may either increase or decrease the current density compared with that for the brane-free geometry. Applications are given to the Randall--Sundrum 2-brane model with extra compact dimensions. |
1102.1434 | David Andriot | David Andriot | Heterotic string from a higher dimensional perspective | 43 pages; minor changes; version published in NPB | null | 10.1016/j.nuclphysb.2011.10.007 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The (abelian bosonic) heterotic string effective action, equations of motion
and Bianchi identity at order alpha prime in ten dimensions, are shown to be
equivalent to a higher dimensional action, its derived equations of motion and
Bianchi identity. The two actions are the same up to the gauge fields: the
latter are absorbed in the higher dimensional fields and geometry. This
construction is inspired by heterotic T-duality, which becomes natural in this
higher dimensional theory. We also prove the equivalence of the heterotic
string supersymmetry conditions with higher dimensional geometric conditions.
Finally, some known Kahler and non-Kahler heterotic solutions are shown to be
trivially related from this higher dimensional perspective, via a simple
exchange of directions. This exchange can be encoded in a heterotic T-duality,
and it may also lead to new solutions.
| [
{
"created": "Mon, 7 Feb 2011 21:06:29 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Dec 2011 17:47:28 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Andriot",
"David",
""
]
] | The (abelian bosonic) heterotic string effective action, equations of motion and Bianchi identity at order alpha prime in ten dimensions, are shown to be equivalent to a higher dimensional action, its derived equations of motion and Bianchi identity. The two actions are the same up to the gauge fields: the latter are absorbed in the higher dimensional fields and geometry. This construction is inspired by heterotic T-duality, which becomes natural in this higher dimensional theory. We also prove the equivalence of the heterotic string supersymmetry conditions with higher dimensional geometric conditions. Finally, some known Kahler and non-Kahler heterotic solutions are shown to be trivially related from this higher dimensional perspective, via a simple exchange of directions. This exchange can be encoded in a heterotic T-duality, and it may also lead to new solutions. |
1005.5049 | Warren Siegel | W. Siegel | Spacecone quantization of AdS superparticle | 7 pages, no figures; v2: added missing hats | null | null | YITP-SB-10-19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We first-quantize the superparticle describing free 10D IIB supergravity on
AdS_5xS^5. We choose the worldline coordinate to be a combination of the bulk
(spatial) coordinates of anti de Sitter space and the sphere. The Hamiltonian
is independent of this "time" and the fermions. On the boundary, the
representation of PSU(2,2|4) becomes that of projective superspace. The
prepotential propagator reproduces the known field-strength one.
| [
{
"created": "Thu, 27 May 2010 12:38:52 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 2010 17:34:38 GMT",
"version": "v2"
}
] | 2010-06-11 | [
[
"Siegel",
"W.",
""
]
] | We first-quantize the superparticle describing free 10D IIB supergravity on AdS_5xS^5. We choose the worldline coordinate to be a combination of the bulk (spatial) coordinates of anti de Sitter space and the sphere. The Hamiltonian is independent of this "time" and the fermions. On the boundary, the representation of PSU(2,2|4) becomes that of projective superspace. The prepotential propagator reproduces the known field-strength one. |
hep-th/0303209 | Pedro J. Silva | Donald Marolf, Luca Martucci and Pedro J. Silva | Fermions, T-duality and effective actions for D-branes in bosonic
backgrounds | 22 pages, latex, version published by JHEP plus typos corrected in
eq.(44) and eq.(47) | JHEP 0304 (2003) 051 | 10.1088/1126-6708/2003/04/051 | IFUM-751-FT | hep-th | null | We find the effective action for any D-brane in a general bosonic background
of supergravity. The results are explicit in component fields up to second
order in the fermions and are obtained in a covariant manner. No interaction
terms between fermions and the field $f=b+F$, characteristic of the bosonic
actions, are considered. These are reserved for future work. In order to obtain
the actions, we reduce directly from the M2-brane world-volume action to the
D2-brane world-volume action. Then, by means of T-duality, we obtain the other
Dp-brane actions. The resulting Dp-brane actions can be written in a single
compact and elegant expression.
| [
{
"created": "Mon, 24 Mar 2003 19:28:54 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2003 09:51:30 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jun 2003 17:06:15 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Marolf",
"Donald",
""
],
[
"Martucci",
"Luca",
""
],
[
"Silva",
"Pedro J.",
""
]
] | We find the effective action for any D-brane in a general bosonic background of supergravity. The results are explicit in component fields up to second order in the fermions and are obtained in a covariant manner. No interaction terms between fermions and the field $f=b+F$, characteristic of the bosonic actions, are considered. These are reserved for future work. In order to obtain the actions, we reduce directly from the M2-brane world-volume action to the D2-brane world-volume action. Then, by means of T-duality, we obtain the other Dp-brane actions. The resulting Dp-brane actions can be written in a single compact and elegant expression. |
hep-th/9603180 | Eduardo Marino | E.C.Marino | Local Charged States of the Gauge Field in Three Dimensional
Maxwell-Type Theories | Latex, 16 pages, two figures available upon request as postscript
files | Mod.Phys.Lett. A11 (1996) 1985-1998 | 10.1142/S0217732396001983 | null | hep-th | null | Gauge invariant local creation operators of charged states are introduced and
studied in pure gauge theories of the Maxwell type in 2+1D. These states are
usually unphysical because of the subsidiary condition imposed on the physical
subspace by Gauss' law. A dual Maxwell theory which possesses a topological
electric charge is introduced. Pure Electrodynamics lies in the sector where
the topological charge identically vanishes. Charge bearing operators fully
expressed in terms of the gauge field, however, can create physical states in
the nontrivial topological sectors which thereby generalize QED. An order
disorder structure exists relating the charged operators and the magnetic flux
creating (vortex) operators, both through commutation rules and correlation
functions. The relevance of this structure for bosonization in 2+1D is
discussed.
| [
{
"created": "Wed, 27 Mar 1996 13:41:36 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Marino",
"E. C.",
""
]
] | Gauge invariant local creation operators of charged states are introduced and studied in pure gauge theories of the Maxwell type in 2+1D. These states are usually unphysical because of the subsidiary condition imposed on the physical subspace by Gauss' law. A dual Maxwell theory which possesses a topological electric charge is introduced. Pure Electrodynamics lies in the sector where the topological charge identically vanishes. Charge bearing operators fully expressed in terms of the gauge field, however, can create physical states in the nontrivial topological sectors which thereby generalize QED. An order disorder structure exists relating the charged operators and the magnetic flux creating (vortex) operators, both through commutation rules and correlation functions. The relevance of this structure for bosonization in 2+1D is discussed. |
2108.08808 | Anderson Misobuchi | Elena Caceres, Anderson Misobuchi, Rafael Pimentel | Sparse SYK and traversable wormholes | 28 pages, 11 figures, published version | JHEP 11 (2021) 015 | 10.1007/JHEP11(2021)015 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a
bilinear term as a holographic quantum mechanical description of an eternal
traversable wormhole in the low temperature limit. Each SYK system consists of
$N$ Majorana fermions coupled by random $q$-body interactions. The degree of
sparseness is captured by a regular hypergraph in such a way that the
Hamiltonian contains exactly $k\,N$ independent terms. We improve on the
theoretical understanding of the sparseness property by using known measures of
hypergraph expansion. We show that the sparse version of the two coupled SYK
model is gapped with a ground state close to a thermofield double state. Using
Krylov subspace and parallelization techniques, we simulate the system for
$q=4$ and $q=8.$ The sparsity of the model allows us to explore larger values
of $N$ than the ones existing in the literature for the all-to-all SYK. We
analyze in detail the two-point functions and the transmission amplitude of
signals between the two systems. We identify a range of parameters where
revivals obey the scaling predicted by holography and signals can be
interpreted as traversing the wormhole.
| [
{
"created": "Thu, 19 Aug 2021 17:26:29 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2021 17:54:24 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Nov 2021 19:42:31 GMT",
"version": "v3"
}
] | 2021-11-10 | [
[
"Caceres",
"Elena",
""
],
[
"Misobuchi",
"Anderson",
""
],
[
"Pimentel",
"Rafael",
""
]
] | We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of $N$ Majorana fermions coupled by random $q$-body interactions. The degree of sparseness is captured by a regular hypergraph in such a way that the Hamiltonian contains exactly $k\,N$ independent terms. We improve on the theoretical understanding of the sparseness property by using known measures of hypergraph expansion. We show that the sparse version of the two coupled SYK model is gapped with a ground state close to a thermofield double state. Using Krylov subspace and parallelization techniques, we simulate the system for $q=4$ and $q=8.$ The sparsity of the model allows us to explore larger values of $N$ than the ones existing in the literature for the all-to-all SYK. We analyze in detail the two-point functions and the transmission amplitude of signals between the two systems. We identify a range of parameters where revivals obey the scaling predicted by holography and signals can be interpreted as traversing the wormhole. |
2311.14638 | Anton Ilderton | Patrick Copinger, James P. Edwards, Anton Ilderton, Karthik Rajeev | Master Formulae for $N$-photon tree level amplitudes in plane wave
backgrounds | 21 pages, 1 pdf figure | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The presence of strong electromagnetic fields adds huge complexity to QED
Feynman diagrams, such that new methods are required to calculate higher-loop
and higher-multiplicity scattering amplitudes. Here we use the worldline
formalism to present `Master Formulae' for all tree level amplitudes of two
massive particles and an arbitrary number of photons, in a plane wave
background, in both scalar and spinor QED. The plane wave is treated without
approximation throughout, meaning in particular that our formulae are valid in
the strong-field regime of current theoretical and experimental interest. We
check our results against literature expressions obtainable at low multiplicity
via direct Feynman diagram calculations.
| [
{
"created": "Fri, 24 Nov 2023 18:10:53 GMT",
"version": "v1"
}
] | 2023-11-27 | [
[
"Copinger",
"Patrick",
""
],
[
"Edwards",
"James P.",
""
],
[
"Ilderton",
"Anton",
""
],
[
"Rajeev",
"Karthik",
""
]
] | The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present `Master Formulae' for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulae are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations. |
hep-th/9609015 | Anindya Ku. Biswas | Anindya K. Biswas | On Orientifold Constructions of Type IIA Dual Pairs | 11pages, Latex | Phys.Rev. D55 (1997) 2382-2387 | 10.1103/PhysRevD.55.2382 | IP/BBSR/96-45 | hep-th | null | In this paper we analyze the earlier constructions of the type IIA dual pairs
through orientifolding. By an appropriate choice of $\Gamma$-matrix basis for
the spinor representations of the $U$-duality group, we give an explicit
relationship between the orientifold models and their dual pairs.
| [
{
"created": "Sun, 1 Sep 1996 17:58:30 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Biswas",
"Anindya K.",
""
]
] | In this paper we analyze the earlier constructions of the type IIA dual pairs through orientifolding. By an appropriate choice of $\Gamma$-matrix basis for the spinor representations of the $U$-duality group, we give an explicit relationship between the orientifold models and their dual pairs. |
2005.05962 | Seiji Terashima | Seiji Terashima | Bulk Locality in AdS/CFT Correspondence | 27 pages, v2: minor corrections, references added, v3: minor
corrections, references added | Phys. Rev. D 104, 086014 (2021) | 10.1103/PhysRevD.104.086014 | YITP-20-60 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the bulk local states in AdS/CFT correspondence in
the large $N$ limit using the formula explicitly relating the bulk local
operators and the CFT local operators. We identify the bulk local state in
terms of CFT local states and find that the bulk local state corresponds to a
CFT state supported in the whole space, which means a version of the subregion
duality is not valid. On the other hand, CFT states supported in a space region
are expressed in terms of the bulk states supported in a certain region. We
find that the quantum error correction proposal is not realized although the
puzzles of the radial locality which motivated the proposal are resolved in our
analysis. For the understating of the bulk local states, an explicit
realization of an analogue of the Reeh-Schlieder theorem plays an important
role.
| [
{
"created": "Tue, 12 May 2020 17:59:51 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2020 10:01:41 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Nov 2020 18:43:16 GMT",
"version": "v3"
}
] | 2021-10-13 | [
[
"Terashima",
"Seiji",
""
]
] | In this paper, we study the bulk local states in AdS/CFT correspondence in the large $N$ limit using the formula explicitly relating the bulk local operators and the CFT local operators. We identify the bulk local state in terms of CFT local states and find that the bulk local state corresponds to a CFT state supported in the whole space, which means a version of the subregion duality is not valid. On the other hand, CFT states supported in a space region are expressed in terms of the bulk states supported in a certain region. We find that the quantum error correction proposal is not realized although the puzzles of the radial locality which motivated the proposal are resolved in our analysis. For the understating of the bulk local states, an explicit realization of an analogue of the Reeh-Schlieder theorem plays an important role. |
hep-th/0509022 | Andrei Smilga | A.V. Smilga | 6D superconformal theory as the theory of everything | 15 pages, 2 figures, based on the talks in Gribov-75 memorial
workshop (Budapest, May 22-24) and the workshop "Supersymmetry and quantum
symmetries" (Dubna, July 27-31) | null | 10.1142/9789812773784_0038 | null | hep-th | null | We argue that the fundamental Theory of Everything is a conventional field
theory defined in the flat multidimensional bulk. Our Universe should be
obtained as a 3-brane classical solution in this theory. The renormalizability
of the fundamental theory implies that it involves higher derivatives (HD). It
should be supersymmetric (otherwise one cannot get rid of the huge induced
cosmological term) and probably conformal (otherwise one can hardly cope with
the problem of ghosts) . We present arguments that in conformal HD theories the
ghosts (which are inherent for HD theories) might be not so malignant. In
particular, we present a nontrivial QM HD model where ghosts are absent and the
spectrum has a well defined ground state. The requirement of superconformal
invariance restricts the dimension of the bulk to be D < 7. We suggest that the
TOE lives in six dimensions and enjoys the maximum N = (2,0) superconformal
symmetry. Unfortunately, no renormalizable field theory with this symmetry is
presently known. We construct and discuss an N = (1,0) 6D supersymmetric gauge
theory with four derivatives in the action. This theory involves a
dimensionless coupling constant and is renormalizable. At the tree level, the
theory enjoys conformal symmetry, but the latter is broken by quantum anomaly.
The sign of the beta function corresponds to the Landau zero situation.
| [
{
"created": "Fri, 2 Sep 2005 15:21:54 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Smilga",
"A. V.",
""
]
] | We argue that the fundamental Theory of Everything is a conventional field theory defined in the flat multidimensional bulk. Our Universe should be obtained as a 3-brane classical solution in this theory. The renormalizability of the fundamental theory implies that it involves higher derivatives (HD). It should be supersymmetric (otherwise one cannot get rid of the huge induced cosmological term) and probably conformal (otherwise one can hardly cope with the problem of ghosts) . We present arguments that in conformal HD theories the ghosts (which are inherent for HD theories) might be not so malignant. In particular, we present a nontrivial QM HD model where ghosts are absent and the spectrum has a well defined ground state. The requirement of superconformal invariance restricts the dimension of the bulk to be D < 7. We suggest that the TOE lives in six dimensions and enjoys the maximum N = (2,0) superconformal symmetry. Unfortunately, no renormalizable field theory with this symmetry is presently known. We construct and discuss an N = (1,0) 6D supersymmetric gauge theory with four derivatives in the action. This theory involves a dimensionless coupling constant and is renormalizable. At the tree level, the theory enjoys conformal symmetry, but the latter is broken by quantum anomaly. The sign of the beta function corresponds to the Landau zero situation. |
1407.3384 | Carlo Rovelli | Carlo Rovelli | Why do we remember the past and not the future? The 'time oriented
coarse graining' hypothesis | 5 pages. Few equations. An idea | null | null | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Phenomenological arrows of time can be traced to a past low-entropy state.
Does this imply the universe was in an improbable state in the past? I suggest
a different possibility: past low-entropy depends on the coarse-graining
implicit in our definition of entropy. This, in turn depends on our physical
coupling to the rest of the world. I conjecture that $any$ generic motion of a
sufficiently rich system satisfies the second law of thermodynamics, in either
direction of time, for $some$ choice of macroscopic observables. The low
entropy of the past could then be due to the way we couple to the universe (a
way needed for us doing what we do), hence to our natural macroscopic
variables, rather than to a strange past microstate of the world at large.
| [
{
"created": "Sat, 12 Jul 2014 13:41:43 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2014 20:50:25 GMT",
"version": "v2"
}
] | 2014-07-17 | [
[
"Rovelli",
"Carlo",
""
]
] | Phenomenological arrows of time can be traced to a past low-entropy state. Does this imply the universe was in an improbable state in the past? I suggest a different possibility: past low-entropy depends on the coarse-graining implicit in our definition of entropy. This, in turn depends on our physical coupling to the rest of the world. I conjecture that $any$ generic motion of a sufficiently rich system satisfies the second law of thermodynamics, in either direction of time, for $some$ choice of macroscopic observables. The low entropy of the past could then be due to the way we couple to the universe (a way needed for us doing what we do), hence to our natural macroscopic variables, rather than to a strange past microstate of the world at large. |
2205.01170 | Yuqi Li | Yuqi Li, Warren Siegel | Remarks on the critical dimension of left-handed string and its
quasiconformal nature | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The chiral string without a singular gauge limit is argued to have the same
critical dimension as its corresponding conventional closed string. Thus, its
central charge would be the same as its conventional counterpart in the
conformal gauge. Here, we would re-examine the critical dimension of the chiral
string in the singular Hohm-Siegel-Zwiebach limit. A straight forward
calculation of the operator product expansion (OPE) of the corresponding
would-be stress tensor shows that the central charge term is not the same as
its conventional counterpart when taking the singular limit. Instead of having
a conformal transformation on the worldsheet, the coordinate reparametrization
provides a set of quasiconformal mappings.
| [
{
"created": "Mon, 2 May 2022 19:26:34 GMT",
"version": "v1"
}
] | 2022-05-04 | [
[
"Li",
"Yuqi",
""
],
[
"Siegel",
"Warren",
""
]
] | The chiral string without a singular gauge limit is argued to have the same critical dimension as its corresponding conventional closed string. Thus, its central charge would be the same as its conventional counterpart in the conformal gauge. Here, we would re-examine the critical dimension of the chiral string in the singular Hohm-Siegel-Zwiebach limit. A straight forward calculation of the operator product expansion (OPE) of the corresponding would-be stress tensor shows that the central charge term is not the same as its conventional counterpart when taking the singular limit. Instead of having a conformal transformation on the worldsheet, the coordinate reparametrization provides a set of quasiconformal mappings. |
2007.15901 | Yuji Hirono | Yoshimasa Hidaka, Yuji Hirono, Ryo Yokokura | Counting Nambu-Goldstone modes of higher-form global symmetries | 7 pages, no figure | Phys. Rev. Lett. 126, 071601 (2021) | 10.1103/PhysRevLett.126.071601 | KEK-TH-2246, J-PARC-TH-221, RIKEN-iTHEMS-Report-20 | hep-th cond-mat.str-el hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the counting of Nambu-Goldstone (NG) modes associated with the
spontaneous breaking of higher-form global symmetries. Effective field theories
of NG modes are developed based on symmetry breaking patterns, using a
generalized coset construction for higher-form symmetries. We derive a formula
of the number of gapless NG modes, which involves expectation values of the
commutators of conserved charges, possibly of different degrees.
| [
{
"created": "Fri, 31 Jul 2020 08:34:34 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Hidaka",
"Yoshimasa",
""
],
[
"Hirono",
"Yuji",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry breaking patterns, using a generalized coset construction for higher-form symmetries. We derive a formula of the number of gapless NG modes, which involves expectation values of the commutators of conserved charges, possibly of different degrees. |
1808.07075 | Carlos I. P\'erez-S\'anchez | Carlos I. Perez-Sanchez | The full Schwinger-Dyson tower for random tensor models | Proceedings: Corfu 2017 Training School "Quantum Spacetime and
Physics Models" | PoS CORFU2017 (2018) 147 | 10.22323/1.318.0147 | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We treat random rank-$D$ tensor models as $D$-dimensional quantum field
theories---tensor field theories (TFT)---and review some of their
non-perturbative methods. We classify the correlation functions of complex
tensor field theories by boundary graphs, sketch the derivation of the
Ward-Takahashi identity and stress its relevance in the derivation of the tower
of exact, analytic Schwinger-Dyson equations for all the correlation functions
(with connected boundary) of TFTs with quartic pillow-like interactions.
| [
{
"created": "Tue, 21 Aug 2018 18:13:46 GMT",
"version": "v1"
}
] | 2018-08-28 | [
[
"Perez-Sanchez",
"Carlos I.",
""
]
] | We treat random rank-$D$ tensor models as $D$-dimensional quantum field theories---tensor field theories (TFT)---and review some of their non-perturbative methods. We classify the correlation functions of complex tensor field theories by boundary graphs, sketch the derivation of the Ward-Takahashi identity and stress its relevance in the derivation of the tower of exact, analytic Schwinger-Dyson equations for all the correlation functions (with connected boundary) of TFTs with quartic pillow-like interactions. |
1503.00874 | Poliane Teixeira | Ilya L. Shapiro, Poliane M. Teixeira and Andreas Wipf | On the functional renormalization group for the scalar field on curved
background with non-minimal interaction | LaTeX, 17 pages, 4 Figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The running of the non-minimal parameter (\xi) of the interaction of the real
scalar field and scalar curvature is explored within the non-perturbative
setting of the functional renormalization group (RG). We establish the RG flow
in curved space-time in the scalar field sector, in particular derive an
equation for the non-minimal parameter. The RG trajectory is numerically
explored for different sets of initial data.
| [
{
"created": "Tue, 3 Mar 2015 10:05:22 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 2015 20:31:47 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2015 16:28:01 GMT",
"version": "v3"
}
] | 2015-05-08 | [
[
"Shapiro",
"Ilya L.",
""
],
[
"Teixeira",
"Poliane M.",
""
],
[
"Wipf",
"Andreas",
""
]
] | The running of the non-minimal parameter (\xi) of the interaction of the real scalar field and scalar curvature is explored within the non-perturbative setting of the functional renormalization group (RG). We establish the RG flow in curved space-time in the scalar field sector, in particular derive an equation for the non-minimal parameter. The RG trajectory is numerically explored for different sets of initial data. |
hep-th/0403115 | Chuan-Jie Zhu | Chuan-Jie Zhu | The Googly Amplitudes in Gauge Theory | Latex file, 16 pages, 7 figures. Figures may bot display correctly in
ps file. Pls use pdf file instead | JHEP 0404 (2004) 032 | 10.1088/1126-6708/2004/04/032 | null | hep-th | null | The googly amplitudes in gauge theory are computed by using the off shell MHV
vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The
result is in agreement with the previously well-known results. In particular we
also obtain a simple result for the all negative but one positive helicity
amplitude when one of the external line is off shell.
| [
{
"created": "Wed, 10 Mar 2004 16:18:26 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Zhu",
"Chuan-Jie",
""
]
] | The googly amplitudes in gauge theory are computed by using the off shell MHV vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The result is in agreement with the previously well-known results. In particular we also obtain a simple result for the all negative but one positive helicity amplitude when one of the external line is off shell. |
1304.7288 | Predrag Dominis Prester | Predrag Dominis Prester | Small black holes in the large D limit | 13 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The large D limit of AdS_2 X S^{D-2} solutions in the particular
higher-derivative Lovelock-type theory is analyzed. The theory and the
solutions were originally considered in an attempt to effectively describe
near-horizon behavior of D-dimensional spherically symmetric 2-charge small
extremal black holes which in superstring theory context are assumed to
correspond to configurations in S^1 \times T^{9-D} compactification schemes in
which fundamental string is wound around circle S^1. Though in D -> \infty
limit the action contains infinite number of higher-derivative terms, their
contributions to equations of motion sum into simple exponential form which
allows us to find explicit solutions. A simplicity of this example gives us the
opportunity to study some connections between \alpha' and 1/D expansions. In
the leading order in 1/D the relation between the string parameter \alpha' and
the radius of the horizon r_h (in the string frame) satisfies r_h ~ D
\sqrt{\alpha'}, i.e., we obtain an explicit realization of the relation
inferred by Emparan et al. in the different context of large black holes in the
ordinary Einstein gravity where \alpha' is not manifestly present.
| [
{
"created": "Fri, 26 Apr 2013 21:08:36 GMT",
"version": "v1"
}
] | 2013-04-30 | [
[
"Prester",
"Predrag Dominis",
""
]
] | The large D limit of AdS_2 X S^{D-2} solutions in the particular higher-derivative Lovelock-type theory is analyzed. The theory and the solutions were originally considered in an attempt to effectively describe near-horizon behavior of D-dimensional spherically symmetric 2-charge small extremal black holes which in superstring theory context are assumed to correspond to configurations in S^1 \times T^{9-D} compactification schemes in which fundamental string is wound around circle S^1. Though in D -> \infty limit the action contains infinite number of higher-derivative terms, their contributions to equations of motion sum into simple exponential form which allows us to find explicit solutions. A simplicity of this example gives us the opportunity to study some connections between \alpha' and 1/D expansions. In the leading order in 1/D the relation between the string parameter \alpha' and the radius of the horizon r_h (in the string frame) satisfies r_h ~ D \sqrt{\alpha'}, i.e., we obtain an explicit realization of the relation inferred by Emparan et al. in the different context of large black holes in the ordinary Einstein gravity where \alpha' is not manifestly present. |
hep-th/9806080 | Erich Poppitz | Joseph Lykken, Erich Poppitz, and Sandip P. Trivedi | Branes with GUTs and supersymmetry breaking | Latex, 16 pages, 1 ps figure; references added and corrected, added
minor comments; version to appear in Nucl.Phys.B | Nucl.Phys.B543:105-121,1999 | 10.1016/S0550-3213(98)00794-9 | UCSD-PTH-98-16 | hep-th hep-ph | null | We study Type I string theory compactified on a T^6/Z_3 orientifold. The
low-energy dynamics is most conveniently analyzed in terms of D3-branes. We
show that a sector of the theory, which corresponds to placing an odd number of
D3-branes at orientifold fixed points, can give rise to an SU(5) gauge theory
with three generations of chiral matter fields. The resulting model is not
fully realistic, but the relative ease with which an adequate gauge group and
matter content can be obtained is promising. The model is also of interest from
the point of view of supersymmetry breaking. We show that, for fixed values of
the closed string modes, the model breaks supersymmetry due to a conflict
between a non-perturbatively generated superpotential and an anomalous U(1)
D-term potential.
| [
{
"created": "Wed, 10 Jun 1998 17:13:13 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1998 18:19:38 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Lykken",
"Joseph",
""
],
[
"Poppitz",
"Erich",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We study Type I string theory compactified on a T^6/Z_3 orientifold. The low-energy dynamics is most conveniently analyzed in terms of D3-branes. We show that a sector of the theory, which corresponds to placing an odd number of D3-branes at orientifold fixed points, can give rise to an SU(5) gauge theory with three generations of chiral matter fields. The resulting model is not fully realistic, but the relative ease with which an adequate gauge group and matter content can be obtained is promising. The model is also of interest from the point of view of supersymmetry breaking. We show that, for fixed values of the closed string modes, the model breaks supersymmetry due to a conflict between a non-perturbatively generated superpotential and an anomalous U(1) D-term potential. |
2101.11010 | Rui Andr\'e | Rui Andr\'e, Jos\'e P. S. Lemos | Thermodynamics of $d$-dimensional Schwarzschild black holes in the
canonical ensemble | 19 pages, 6 figures | Phys. Rev. D 103, 064069 (2021) | 10.1103/PhysRevD.103.064069 | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of a $d$-dimensional Schwarzschild black hole in
the canonical ensemble. This generalizes York's formalism to any number $d$ of
dimensions. The canonical ensemble, characterized by a cavity of fixed radius
$r$ and fixed temperature $T$ at the boundary, allows for two possible
solutions in thermal equilibrium, a small and a large black hole. From the
Euclidean action and the path integral approach, we obtain the free energy, the
thermodynamic energy, the pressure, and the entropy, of the black hole plus
cavity system. The entropy is given by the Bekenstein-Hawking area law. The
heat capacity shows that the smaller black hole is in unstable equilibrium and
the larger is stable. The photon sphere radius divides the stability criterion.
To study perturbations, a generalized free energy function is obtained that
allows to understand the possible phase transitions between classical hot flat
space and the black holes. The Buchdahl radius, that appears naturally in the
general relativistic study of star structure, also shows up in our context, the
free energy is zero when the cavity's radius has the Buchdahl radius value.
Then, if the cavity's radius is smaller than the Buchdahl radius classical hot
flat space can nucleate a black hole. It is also pointed out the link between
the canonical analysis performed and the direct perturbation of the path
integral. Since gravitational hot flat space is a quantum system made purely of
gravitons it is of interest to compare the free energies of quantum hot flat
space and the stable black hole to find for which ranges of $r$ and $T$ one
phase predominates over the other. Phase diagrams are displayed. The density of
states at a given energy is found. Further calculations and comments are
carried out, notably, a connection to thin shells in $d$ spacetime dimensions
which are systems that are also apt to rigorous thermodynamics.
| [
{
"created": "Tue, 26 Jan 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 2021 16:09:35 GMT",
"version": "v2"
}
] | 2021-04-20 | [
[
"André",
"Rui",
""
],
[
"Lemos",
"José P. S.",
""
]
] | We study the thermodynamics of a $d$-dimensional Schwarzschild black hole in the canonical ensemble. This generalizes York's formalism to any number $d$ of dimensions. The canonical ensemble, characterized by a cavity of fixed radius $r$ and fixed temperature $T$ at the boundary, allows for two possible solutions in thermal equilibrium, a small and a large black hole. From the Euclidean action and the path integral approach, we obtain the free energy, the thermodynamic energy, the pressure, and the entropy, of the black hole plus cavity system. The entropy is given by the Bekenstein-Hawking area law. The heat capacity shows that the smaller black hole is in unstable equilibrium and the larger is stable. The photon sphere radius divides the stability criterion. To study perturbations, a generalized free energy function is obtained that allows to understand the possible phase transitions between classical hot flat space and the black holes. The Buchdahl radius, that appears naturally in the general relativistic study of star structure, also shows up in our context, the free energy is zero when the cavity's radius has the Buchdahl radius value. Then, if the cavity's radius is smaller than the Buchdahl radius classical hot flat space can nucleate a black hole. It is also pointed out the link between the canonical analysis performed and the direct perturbation of the path integral. Since gravitational hot flat space is a quantum system made purely of gravitons it is of interest to compare the free energies of quantum hot flat space and the stable black hole to find for which ranges of $r$ and $T$ one phase predominates over the other. Phase diagrams are displayed. The density of states at a given energy is found. Further calculations and comments are carried out, notably, a connection to thin shells in $d$ spacetime dimensions which are systems that are also apt to rigorous thermodynamics. |
2012.08556 | Gabriele Lo Monaco | Sergio Benvenuti, Ivan Garozzo and Gabriele Lo Monaco | Monopoles and dualities in $3d$ $\mathcal{N}=2$ quivers | 42 pages + appendices. v1: references added. v2: typos corrected,
version for JHEP | null | 10.1007/JHEP10(2021)191 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Seiberg-like dualities in $2+1$d quiver gauge theories with $4$ supercharges
are investigated. We consider quivers made of various combinations of classical
gauge groups $U(N)$, $Sp(N)$, $SO(N)$ and $SU(N)$. Our main focus is the
mapping of the supersymmetric monopole operators across the dual theories.
There is a simple general rule that encodes the mapping of the monopoles upon
dualising a single node. This rule dictates the mapping of all the monopoles
which are not dressed by baryonic operators. We also study more general
situations involving baryons and baryon-monopoles, focussing on three examples:
$SU-Sp$, $SO-SO$ and $SO-Sp$ quivers.
| [
{
"created": "Tue, 15 Dec 2020 19:07:51 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2021 08:47:33 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jun 2021 12:59:32 GMT",
"version": "v3"
}
] | 2021-11-10 | [
[
"Benvenuti",
"Sergio",
""
],
[
"Garozzo",
"Ivan",
""
],
[
"Monaco",
"Gabriele Lo",
""
]
] | Seiberg-like dualities in $2+1$d quiver gauge theories with $4$ supercharges are investigated. We consider quivers made of various combinations of classical gauge groups $U(N)$, $Sp(N)$, $SO(N)$ and $SU(N)$. Our main focus is the mapping of the supersymmetric monopole operators across the dual theories. There is a simple general rule that encodes the mapping of the monopoles upon dualising a single node. This rule dictates the mapping of all the monopoles which are not dressed by baryonic operators. We also study more general situations involving baryons and baryon-monopoles, focussing on three examples: $SU-Sp$, $SO-SO$ and $SO-Sp$ quivers. |
1704.07763 | Jennifer Lin | Jennifer Lin | Ryu-Takayanagi Area as an Entanglement Edge Term | 21 pages, 5 figures. v2: revised for clarity, refs added. v3: note
added in light of later work | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By comparing entanglement in emergent gauge theories to the bulk in AdS/CFT,
I suggest that the Ryu-Takayanagi area term is an entanglement edge term
related to a natural measure on the gauge group. The main technical result in
this paper is an argument why the "extended Hilbert space" definition of
entanglement entropy in a lattice gauge theory is applicable to an emergent
gauge theory.
| [
{
"created": "Tue, 25 Apr 2017 16:16:10 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Aug 2017 23:31:31 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jul 2018 14:15:44 GMT",
"version": "v3"
}
] | 2018-07-24 | [
[
"Lin",
"Jennifer",
""
]
] | By comparing entanglement in emergent gauge theories to the bulk in AdS/CFT, I suggest that the Ryu-Takayanagi area term is an entanglement edge term related to a natural measure on the gauge group. The main technical result in this paper is an argument why the "extended Hilbert space" definition of entanglement entropy in a lattice gauge theory is applicable to an emergent gauge theory. |
2212.13855 | Canxin Shi | Francesco Comberiati and Canxin Shi | Classical Double Copy of Spinning Worldline Quantum Field Theory | 41 pages, 4 figures | null | 10.1007/JHEP04(2023)008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the classical double copy of massive spinning objects in the
worldline quantum field theories (WQFT) formalism. We couple the
$\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the
propagation of a spin-half particle interacting with gluons. At the classical
level, this model captures physical effects up to linear order in spin. We
propose a double copy relation to map the spin tensors to the gravitation side.
Enforcing R-symmetry and supersymmetry (SUSY) on the double copy integrands, we
find that the gravitational theory is the ${\cal N}=2$ particle coupled to
dilaton-gravity (DG). We check the double copy prescription for the eikonal
phase up to next-to-leading order and for radiation at leading order in
coupling constants, finding that the Grassmann nature of the spin tensor in
WQFT plays a crucial role in finding full agreement with direct calculation in
the $\mathcal{N}=2$ model. We show how to deform the SUSY charges of the free
theory to include DG. Since the constraints algebra is first class, the
worldline model can be quantized, describing the propagation of a massive
vector field coupled to DG, in agreement with the literature. In addition, we
investigate the double copy without preserving SUSY and R-symmetry, finding
that the B-field also couples to the~worldline.
| [
{
"created": "Wed, 28 Dec 2022 15:08:43 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 2022 03:00:52 GMT",
"version": "v2"
}
] | 2023-04-11 | [
[
"Comberiati",
"Francesco",
""
],
[
"Shi",
"Canxin",
""
]
] | We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a spin-half particle interacting with gluons. At the classical level, this model captures physical effects up to linear order in spin. We propose a double copy relation to map the spin tensors to the gravitation side. Enforcing R-symmetry and supersymmetry (SUSY) on the double copy integrands, we find that the gravitational theory is the ${\cal N}=2$ particle coupled to dilaton-gravity (DG). We check the double copy prescription for the eikonal phase up to next-to-leading order and for radiation at leading order in coupling constants, finding that the Grassmann nature of the spin tensor in WQFT plays a crucial role in finding full agreement with direct calculation in the $\mathcal{N}=2$ model. We show how to deform the SUSY charges of the free theory to include DG. Since the constraints algebra is first class, the worldline model can be quantized, describing the propagation of a massive vector field coupled to DG, in agreement with the literature. In addition, we investigate the double copy without preserving SUSY and R-symmetry, finding that the B-field also couples to the~worldline. |
hep-th/9708134 | Sandip Trivedi | Joseph Lykken, Erich Poppitz and Sandip P. Trivedi | Chiral Gauge Theories from D-Branes | 16 pages, LaTeX, 2 Figures | Phys.Lett. B416 (1998) 286-294 | 10.1016/S0370-2693(97)01220-3 | EFI-97-35, Fermilab-Pub-97/295-T, UCSD/PTH-97-21 | hep-th | null | We construct brane configurations leading to chiral four dimensional N=1
supersymmetric gauge theories. The brane realizations consist of intersecting
Neveu-Schwarz five-branes and Dirichlet four-branes in non-flat spacetime
backgrounds. We discuss in some detail the construction in a C^2/Z_M orbifold
background. The infrared theory on the four-brane worldvolume is a four
dimensional N=1 SU(N)^M gauge theory with chiral matter representations. We
discuss various consistency checks and show that the spectral curves describing
the Coulomb phase of the theory can be obtained once the orbifold brane
construction is embedded in M-theory. We also discuss the addition of extra
vectorlike matter and other interesting generalizations.
| [
{
"created": "Mon, 25 Aug 1997 21:15:47 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lykken",
"Joseph",
""
],
[
"Poppitz",
"Erich",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We construct brane configurations leading to chiral four dimensional N=1 supersymmetric gauge theories. The brane realizations consist of intersecting Neveu-Schwarz five-branes and Dirichlet four-branes in non-flat spacetime backgrounds. We discuss in some detail the construction in a C^2/Z_M orbifold background. The infrared theory on the four-brane worldvolume is a four dimensional N=1 SU(N)^M gauge theory with chiral matter representations. We discuss various consistency checks and show that the spectral curves describing the Coulomb phase of the theory can be obtained once the orbifold brane construction is embedded in M-theory. We also discuss the addition of extra vectorlike matter and other interesting generalizations. |
0907.1351 | Raimar Wulkenhaar | Raimar Wulkenhaar (M\"unster) | Non-compact spectral triples with finite volume | 36 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to extend the spectral action principle to non-compact spaces, we
propose a framework for spectral triples where the algebra may be non-unital
but the resolvent of the Dirac operator remains compact. We show that an
example is given by the supersymmetric harmonic oscillator which,
interestingly, provides two different Dirac operators. This leads to two
different representations of the volume form in the Hilbert space, and only
their product is the grading operator. The index of the even-to-odd part of
each of these Dirac operators is 1.
We also compute the spectral action for the corresponding Connes-Lott
two-point model. There is an additional harmonic oscillator potential for the
Higgs field, whereas the Yang-Mills part is unchanged. The total Higgs
potential shows a two-phase structure with smooth transition between them: In
the spontaneously broken phase below a critical radius, all fields are massive,
with the Higgs field mass slightly smaller than the NCG prediction. In the
unbroken phase above the critical radius, gauge fields and fermions are
massless, whereas the Higgs field remains massive.
| [
{
"created": "Wed, 8 Jul 2009 08:39:33 GMT",
"version": "v1"
}
] | 2009-07-10 | [
[
"Wulkenhaar",
"Raimar",
"",
"Münster"
]
] | In order to extend the spectral action principle to non-compact spaces, we propose a framework for spectral triples where the algebra may be non-unital but the resolvent of the Dirac operator remains compact. We show that an example is given by the supersymmetric harmonic oscillator which, interestingly, provides two different Dirac operators. This leads to two different representations of the volume form in the Hilbert space, and only their product is the grading operator. The index of the even-to-odd part of each of these Dirac operators is 1. We also compute the spectral action for the corresponding Connes-Lott two-point model. There is an additional harmonic oscillator potential for the Higgs field, whereas the Yang-Mills part is unchanged. The total Higgs potential shows a two-phase structure with smooth transition between them: In the spontaneously broken phase below a critical radius, all fields are massive, with the Higgs field mass slightly smaller than the NCG prediction. In the unbroken phase above the critical radius, gauge fields and fermions are massless, whereas the Higgs field remains massive. |
1612.04024 | Mukund Rangamani | Sayantani Bhattacharyya, Felix M. Haehl, Nilay Kundu, R.Loganayagam,
Mukund Rangamani | Towards a second law for Lovelock theories | 33 pages + 5 appendices. v2: Added clarifications and references | null | 10.1007/JHEP03(2017)065 | YITP-16-135 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In classical general relativity described by Einstein-Hilbert gravity, black
holes behave as thermodynamic objects. In particular, the laws of black hole
mechanics can be interpreted as laws of thermodynamics. The first law of black
hole mechanics extends to higher derivative theories via the Noether charge
construction of Wald. One also expects the statement of the second law, which
in Einstein-Hilbert theory owes to Hawking's area theorem, to extend to higher
derivative theories. To argue for this however one needs a notion of entropy
for dynamical black holes, which the Noether charge construction does not
provide. We propose such an entropy function for the family of Lovelock
theories, treating the higher derivative terms as perturbations to the
Einstein-Hilbert theory. Working around a dynamical black hole solution, and
making no assumptions about the amplitude of departure from equilibrium, we
construct a candidate entropy functional valid to all orders in the low energy
effective field theory. This entropy functional satisfies a second law, modulo
a certain subtle boundary term, which deserves further investigation in
non-spherically symmetric situations.
| [
{
"created": "Tue, 13 Dec 2016 04:32:29 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2017 16:14:32 GMT",
"version": "v2"
}
] | 2017-04-05 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Haehl",
"Felix M.",
""
],
[
"Kundu",
"Nilay",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole mechanics extends to higher derivative theories via the Noether charge construction of Wald. One also expects the statement of the second law, which in Einstein-Hilbert theory owes to Hawking's area theorem, to extend to higher derivative theories. To argue for this however one needs a notion of entropy for dynamical black holes, which the Noether charge construction does not provide. We propose such an entropy function for the family of Lovelock theories, treating the higher derivative terms as perturbations to the Einstein-Hilbert theory. Working around a dynamical black hole solution, and making no assumptions about the amplitude of departure from equilibrium, we construct a candidate entropy functional valid to all orders in the low energy effective field theory. This entropy functional satisfies a second law, modulo a certain subtle boundary term, which deserves further investigation in non-spherically symmetric situations. |
2312.07211 | Soham Sen | Soham Sen and Sunandan Gangopadhyay | Uncertainty principle from the noise of gravitons | 11 pages LATEX | Eur. Phys. J. C 84 (2024) 116 | 10.1140/epjc/s10052-024-12481-7 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The effect of the noise induced by gravitons in the case of a freely falling
particle from the viewpoint of an external observer has been recently
calculated in \href{https://link.aps.org/doi/10.1103/PhysRevD.107.066024}{Phys.
Rev. D 107 (2023) 066024}. There the authors have calculated the quantum
gravity modified Newton's law of free fall where the spacetime has been
considered to be weakly curved. In our work, we extend this work by calculating
the variance in the velocity and eventually the momentum of the freely falling
massive particle. From this simple calculation, we observe that the product of
the standard deviation in the position with that of the standard deviation in
momentum picks up a higher order correction which is proportional to the square
of the standard deviation in momentum. We also find out that in the Planck
limit (both Planck length and Planck mass), this uncertainty product gives the
well-known form of the generalized uncertainty principle. We then calculate a
similar uncertainty product when the graviton is in a squeezed state, and
eventually, we get back the same uncertainty product. Finally, we extend our
analysis for the gravitons being in a thermal state and obtain a
temperature-dependent uncertainty product. If one replaces this temperature
with the Planck temperature and the mass of the particle by the Planck mass,
the usual uncertainty product appears once again. We also obtain an upper bound
of the uncertainty product thereby giving a range of the product of the
variances in position and momentum.
| [
{
"created": "Tue, 12 Dec 2023 12:21:50 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Feb 2024 13:30:28 GMT",
"version": "v2"
}
] | 2024-02-06 | [
[
"Sen",
"Soham",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] | The effect of the noise induced by gravitons in the case of a freely falling particle from the viewpoint of an external observer has been recently calculated in \href{https://link.aps.org/doi/10.1103/PhysRevD.107.066024}{Phys. Rev. D 107 (2023) 066024}. There the authors have calculated the quantum gravity modified Newton's law of free fall where the spacetime has been considered to be weakly curved. In our work, we extend this work by calculating the variance in the velocity and eventually the momentum of the freely falling massive particle. From this simple calculation, we observe that the product of the standard deviation in the position with that of the standard deviation in momentum picks up a higher order correction which is proportional to the square of the standard deviation in momentum. We also find out that in the Planck limit (both Planck length and Planck mass), this uncertainty product gives the well-known form of the generalized uncertainty principle. We then calculate a similar uncertainty product when the graviton is in a squeezed state, and eventually, we get back the same uncertainty product. Finally, we extend our analysis for the gravitons being in a thermal state and obtain a temperature-dependent uncertainty product. If one replaces this temperature with the Planck temperature and the mass of the particle by the Planck mass, the usual uncertainty product appears once again. We also obtain an upper bound of the uncertainty product thereby giving a range of the product of the variances in position and momentum. |
2006.16727 | Nakwoo Kim | Nakwoo Kim and Se-Jin Kim | The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows
on Sphere | 19 pages, no figure; v2: refs added, minor revision | null | 10.1007/JHEP10(2020)068 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hamilton-Jacobi formulation of effective mechanical actions
associated with holographic renormalization group flows when the field theory
is put on the sphere and mass terms are turned on. Although the system is
supersymmetric and it is described by a superpotential, Hamilton's
characteristic function is not readily given by the superpotential when the
boundary of AdS is curved. We propose a method to construct the solution as a
series expansion in scalar field degrees of freedom. The coefficients are
functions of the warp factor to be determined by a differential equation one
obtains when the ansatz is substituted into the Hamilton-Jacobi equation. We
also show how the solution can be derived from the BPS equations without having
to solve differential equations. The characteristic function readily provides
information on holographic counterterms which cancel divergences of the
on-shell action near the boundary of AdS.
| [
{
"created": "Tue, 30 Jun 2020 12:31:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2020 13:40:05 GMT",
"version": "v2"
}
] | 2020-10-15 | [
[
"Kim",
"Nakwoo",
""
],
[
"Kim",
"Se-Jin",
""
]
] | We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on. Although the system is supersymmetric and it is described by a superpotential, Hamilton's characteristic function is not readily given by the superpotential when the boundary of AdS is curved. We propose a method to construct the solution as a series expansion in scalar field degrees of freedom. The coefficients are functions of the warp factor to be determined by a differential equation one obtains when the ansatz is substituted into the Hamilton-Jacobi equation. We also show how the solution can be derived from the BPS equations without having to solve differential equations. The characteristic function readily provides information on holographic counterterms which cancel divergences of the on-shell action near the boundary of AdS. |
2304.05606 | Jos\'e Eduardo Rosales Quintero Dr. | Jos\'e Eduardo Rosales Quintero | A MacDowell-Mansouri type formulation for Einstein manifolds | 8 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a pure connection formulation plus algebraic constraints in four
spacetime dimensions where the gauge group $G \supset SO(1, 3)$. We show that
the action has, as particular cases, the MacDowell-Mansouri and the Stelle-West
formulations for gravity. Also, under adequate specification of the constraint
terms, we obtain Einstein manifolds, i.e., torsionless conformally flat
manifolds.
| [
{
"created": "Wed, 12 Apr 2023 04:48:47 GMT",
"version": "v1"
}
] | 2023-04-13 | [
[
"Quintero",
"José Eduardo Rosales",
""
]
] | We study a pure connection formulation plus algebraic constraints in four spacetime dimensions where the gauge group $G \supset SO(1, 3)$. We show that the action has, as particular cases, the MacDowell-Mansouri and the Stelle-West formulations for gravity. Also, under adequate specification of the constraint terms, we obtain Einstein manifolds, i.e., torsionless conformally flat manifolds. |
1105.1777 | Sebastian Franco | Sebastian Franco | Dimer Models, Integrable Systems and Quantum Teichmuller Space | 35 pages. v3: minor corrections | null | 10.1007/JHEP09(2011)057 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a correspondence between dimer models (and hence superconformal
quivers) and the quantum Teichmuller space of the Riemann surfaces associated
to them by mirror symmetry. Via the untwisting map, every brane tiling gives
rise to a tiling of the Riemann surface with faces surrounding punctures. We
explain how to obtain an ideal triangulation by dualizing this tiling. In order
to do so, tiling nodes of valence greater than 3 (equivalently superpotential
terms of order greater than 3 in the corresponding quiver gauge theories) must
be decomposed by the introduction of 2-valent nodes. From a quiver gauge theory
perspective, this operation corresponds to integrating-in massive fields. Fock
coordinates in Teichmuller space are in one-to-one correspondence with chiral
fields in the quiver. We present multiple explicit examples, including infinite
families of theories, illustrating how the right number of Fock coordinates is
generated by this procedure. Finally, we explain how Chekhov and Fock
commutation relations between coordinates give rise to the commutators
associated to dimer models by Goncharov and Kenyon in the context of quantum
integrable systems. For generic dimer models (i.e. those containing nodes that
are not 3-valent), this matching requires the introduction of a natural
generalization of Chekhov and Fock rules. We also explain how urban renewal in
the original brane tiling (Seiberg duality for the quivers) is mapped to flips
of the ideal triangulation.
| [
{
"created": "Mon, 9 May 2011 20:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2011 04:26:38 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jul 2011 06:24:46 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Franco",
"Sebastian",
""
]
] | We introduce a correspondence between dimer models (and hence superconformal quivers) and the quantum Teichmuller space of the Riemann surfaces associated to them by mirror symmetry. Via the untwisting map, every brane tiling gives rise to a tiling of the Riemann surface with faces surrounding punctures. We explain how to obtain an ideal triangulation by dualizing this tiling. In order to do so, tiling nodes of valence greater than 3 (equivalently superpotential terms of order greater than 3 in the corresponding quiver gauge theories) must be decomposed by the introduction of 2-valent nodes. From a quiver gauge theory perspective, this operation corresponds to integrating-in massive fields. Fock coordinates in Teichmuller space are in one-to-one correspondence with chiral fields in the quiver. We present multiple explicit examples, including infinite families of theories, illustrating how the right number of Fock coordinates is generated by this procedure. Finally, we explain how Chekhov and Fock commutation relations between coordinates give rise to the commutators associated to dimer models by Goncharov and Kenyon in the context of quantum integrable systems. For generic dimer models (i.e. those containing nodes that are not 3-valent), this matching requires the introduction of a natural generalization of Chekhov and Fock rules. We also explain how urban renewal in the original brane tiling (Seiberg duality for the quivers) is mapped to flips of the ideal triangulation. |
hep-th/9504154 | Victor Pervushin | S. A. Gogilidze, A. M. Khvedelidze, V. N. Pervushin | On Admissible Gauges for Constrained Systems | 30 pages, latex, no figures | Phys.Rev.D53:2160-2172,1996 | 10.1103/PhysRevD.53.2160 | JINR E2 - 95-203 ZU - TH-4/95 | hep-th | null | The {\it {gauge - fixing} } and {\it gaugeless } methods for reducing the
phase space in the generalized Hamiltonian dynamics are compared with the aim
to define the class of admissible gauges . In the gaugeless approach, the
reduced phase space of a Hamiltonian system with the first class constraints is
constructed locally, without any gauge fixing, using the following procedure:
abelianization of constraints with the subsequent canonical transformation so
that some of the new momenta are equal to the new abelian constraints. As a
result the corresponding conjugate coordinates are ignorable ( nonphysical )
one while the remaining canonical pairs corresponds to the true dynamical
variables. This representation for the phase space prompts us the definition of
subclass of admissible gauges -- canonical gauges as functions depending only
on the ignorable coordinates. A practical method to recognize the canonical
gauge is proposed .
| [
{
"created": "Fri, 28 Apr 1995 18:42:41 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Gogilidze",
"S. A.",
""
],
[
"Khvedelidze",
"A. M.",
""
],
[
"Pervushin",
"V. N.",
""
]
] | The {\it {gauge - fixing} } and {\it gaugeless } methods for reducing the phase space in the generalized Hamiltonian dynamics are compared with the aim to define the class of admissible gauges . In the gaugeless approach, the reduced phase space of a Hamiltonian system with the first class constraints is constructed locally, without any gauge fixing, using the following procedure: abelianization of constraints with the subsequent canonical transformation so that some of the new momenta are equal to the new abelian constraints. As a result the corresponding conjugate coordinates are ignorable ( nonphysical ) one while the remaining canonical pairs corresponds to the true dynamical variables. This representation for the phase space prompts us the definition of subclass of admissible gauges -- canonical gauges as functions depending only on the ignorable coordinates. A practical method to recognize the canonical gauge is proposed . |
2112.11296 | Rafael A. Porto | Christoph Dlapa, Gregor K\"alin, Zhengwen Liu and Rafael A. Porto | Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order
in the Large-eccentricity Expansion | 4+4 pages. 2 Figures. 1 ancillary file. v2: Published version | null | 10.1103/PhysRevLett.128.161104 | DESY 21-226 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We compute the conservative dynamics of non-spinning binaries at fourth
Post-Minkowskian order in the large-eccentricity limit, including both
potential and radiation-reaction tail effects. This is achieved by obtaining
the scattering angle in the worldline effective field theory approach and
deriving the bound radial action via analytic continuation. The associated
integrals are bootstrapped to all orders in velocities through differential
equations, with boundary conditions in the potential and radiation regions. The
large angular momentum expansion captures all the local-in-time effects as well
as the trademark logarithmic corrections for generic bound orbits. Agreement is
found in the overlap with the state-of-the-art in Post-Newtonian theory.
| [
{
"created": "Tue, 21 Dec 2021 15:35:11 GMT",
"version": "v1"
},
{
"created": "Fri, 27 May 2022 14:08:00 GMT",
"version": "v2"
}
] | 2022-05-30 | [
[
"Dlapa",
"Christoph",
""
],
[
"Kälin",
"Gregor",
""
],
[
"Liu",
"Zhengwen",
""
],
[
"Porto",
"Rafael A.",
""
]
] | We compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle in the worldline effective field theory approach and deriving the bound radial action via analytic continuation. The associated integrals are bootstrapped to all orders in velocities through differential equations, with boundary conditions in the potential and radiation regions. The large angular momentum expansion captures all the local-in-time effects as well as the trademark logarithmic corrections for generic bound orbits. Agreement is found in the overlap with the state-of-the-art in Post-Newtonian theory. |
hep-th/9901015 | Christian Jaekel | Christian Jaekel | Two algebraic properties of thermal quantum field theories | plain tex, 14 pages | J.Math.Phys. 40 (1999) 6234-6244 | 10.1063/1.533089 | null | hep-th | null | We establish the Schlieder and the Borchers property for thermal field
theories. In addition, we provide some information on the commutation and
localization properties of projection operators.
| [
{
"created": "Tue, 5 Jan 1999 13:09:19 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 1999 13:51:51 GMT",
"version": "v2"
},
{
"created": "Wed, 5 May 2004 09:12:59 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Jaekel",
"Christian",
""
]
] | We establish the Schlieder and the Borchers property for thermal field theories. In addition, we provide some information on the commutation and localization properties of projection operators. |
hep-th/0601025 | Jonathan Shock | Jonathan P. Shock | Canonical Coordinates and Meson Spectra for Scalar Deformed N=4 SYM from
the AdS/CFT Correspondence | 16 pages, 7 figures, references added, typos corrected | JHEP0610:043,2006 | 10.1088/1126-6708/2006/10/043 | null | hep-th | null | Five supersymmetric scalar deformations of the AdS_5xS^5 geometry are
investigated. By switching on condensates for the scalars in the N=4 multiplet
with a form which preserves a subgroup of the original R-symmetry, disk and
sphere configurations of D3-branes are formed in the dual supergravity
background. The analytic, canonical metric for each geometry is formulated and
the singularity structure is studied. Quarks are introduced into two of the
corresponding field theories using D7-brane probes and the pseudoscalar meson
spectrum is calculated. For one of the condensate configurations, a mass gap is
found and shown analytically to be present in the massless limit. It is also
found that there is a stepped spectrum with eigenstate degeneracy in the limit
of small quark masses. In the case of a second, similar deformation, it is
necessary to understand the full D3-D7 brane interaction to study the limit of
small quark masses. It is seen that simple solutions to the equations of motion
for the other three geometries are unlikely to exist.
| [
{
"created": "Thu, 5 Jan 2006 03:58:12 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2006 06:55:24 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Mar 2006 01:44:51 GMT",
"version": "v3"
},
{
"created": "Mon, 24 Sep 2007 06:29:24 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Shock",
"Jonathan P.",
""
]
] | Five supersymmetric scalar deformations of the AdS_5xS^5 geometry are investigated. By switching on condensates for the scalars in the N=4 multiplet with a form which preserves a subgroup of the original R-symmetry, disk and sphere configurations of D3-branes are formed in the dual supergravity background. The analytic, canonical metric for each geometry is formulated and the singularity structure is studied. Quarks are introduced into two of the corresponding field theories using D7-brane probes and the pseudoscalar meson spectrum is calculated. For one of the condensate configurations, a mass gap is found and shown analytically to be present in the massless limit. It is also found that there is a stepped spectrum with eigenstate degeneracy in the limit of small quark masses. In the case of a second, similar deformation, it is necessary to understand the full D3-D7 brane interaction to study the limit of small quark masses. It is seen that simple solutions to the equations of motion for the other three geometries are unlikely to exist. |
2011.11509 | Alex Buchel | Alex Buchel | The fate of the conformal order | 34 pages, 13 figures; v2: PRD version | Phys. Rev. D 103, 026008 (2021) | 10.1103/PhysRevD.103.026008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holographic correspondence to study transport of the conformal plasma
in ${\mathbb R}^{2,1}$ in a phase with a spontaneously broken global $Z_2$
symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$
have "hair" -- a condensate of the order parameter for the broken symmetry.
This hair affects both the hydrodynamic and the nonhydrodynamic quasinormal
modes of the black branes. Nonetheless, the shear viscosity of the conformal
order is universal, the bulk viscosity vanishes and the speed of the sound
waves is $c_s^2=\frac 12$. We compute the low-lying spectrum of the
non-hydrodynamic modes. We identify a quasinormal mode associated with the
fluctuations of the $Z_2$ order parameter with the positive imaginary part. The
presence of this mode in the spectrum renders the holographic conformal order
perturbatively unstable. Correspondingly, the dual black branes violate the
correlated stability conjecture.
| [
{
"created": "Mon, 23 Nov 2020 16:19:28 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Dec 2020 15:39:04 GMT",
"version": "v2"
}
] | 2021-01-20 | [
[
"Buchel",
"Alex",
""
]
] | We use holographic correspondence to study transport of the conformal plasma in ${\mathbb R}^{2,1}$ in a phase with a spontaneously broken global $Z_2$ symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$ have "hair" -- a condensate of the order parameter for the broken symmetry. This hair affects both the hydrodynamic and the nonhydrodynamic quasinormal modes of the black branes. Nonetheless, the shear viscosity of the conformal order is universal, the bulk viscosity vanishes and the speed of the sound waves is $c_s^2=\frac 12$. We compute the low-lying spectrum of the non-hydrodynamic modes. We identify a quasinormal mode associated with the fluctuations of the $Z_2$ order parameter with the positive imaginary part. The presence of this mode in the spectrum renders the holographic conformal order perturbatively unstable. Correspondingly, the dual black branes violate the correlated stability conjecture. |
hep-th/9808005 | Gregory Gabadadze | G. Gabadadze (Rutgers Univ.) | The Discrete $Z_{2N_c}$ Symmetry And Effective Superpotential In SUSY
Gluodynamics | 22 pages, LaTex file | Nucl.Phys. B544 (1999) 650-665 | 10.1016/S0550-3213(98)00856-6 | RU-98-33 | hep-th | null | We find an expression for the effective superpotential describing the $N_c$
vacua of $SU(N_c)$ SUSY gluodynamics. The superpotential reduces in some
approximation to the Veneziano-Yankielowicz expression amended by the term
restoring the discrete $Z_{2N_c}$ symmetry. Moreover, the superpotential, being
restricted to one particular vacuum state, yields the expression which was
derived recently to describe all the lowest-spin physical states of the theory.
The corresponding scalar potential has no cusp singularities and can be used to
study the domain walls interpolating between the chirally asymmetric vacua of
the model.
| [
{
"created": "Sun, 2 Aug 1998 14:59:17 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gabadadze",
"G.",
"",
"Rutgers Univ."
]
] | We find an expression for the effective superpotential describing the $N_c$ vacua of $SU(N_c)$ SUSY gluodynamics. The superpotential reduces in some approximation to the Veneziano-Yankielowicz expression amended by the term restoring the discrete $Z_{2N_c}$ symmetry. Moreover, the superpotential, being restricted to one particular vacuum state, yields the expression which was derived recently to describe all the lowest-spin physical states of the theory. The corresponding scalar potential has no cusp singularities and can be used to study the domain walls interpolating between the chirally asymmetric vacua of the model. |
2111.14068 | Junkun Zhao | Junkun Zhao | Momentum relaxation of holographic Weyl semimetal from massive gravity | minor clarifications and references added | null | 10.1140/epjc/s10052-022-10237-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the effects of momentum relaxation on the topological quantum
phase transitions in holographic Weyl semimetals. The translational symmetry
breaking in the field theory is realized in the framework of massive gravity.
We find that the critical value of the phase transition, characterized by the
anomalous Hall conductivity, decreases with the increasing of graviton mass,
i.e. the momentum relaxation strength. There exists a critical value of
graviton mass above which the topological phase transition disappears and
therefore the Weyl points are destroyed. All these phenomena are qualitatively
similar to that of axion fields induced momentum relaxation, indicating that a
universal feature emerges in the momentum relaxed holographic Weyl semimetals,
which is also consistent with the predictions from weakly coupled field theory.
| [
{
"created": "Sun, 28 Nov 2021 07:29:23 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Dec 2021 17:01:43 GMT",
"version": "v2"
}
] | 2022-04-20 | [
[
"Zhao",
"Junkun",
""
]
] | We consider the effects of momentum relaxation on the topological quantum phase transitions in holographic Weyl semimetals. The translational symmetry breaking in the field theory is realized in the framework of massive gravity. We find that the critical value of the phase transition, characterized by the anomalous Hall conductivity, decreases with the increasing of graviton mass, i.e. the momentum relaxation strength. There exists a critical value of graviton mass above which the topological phase transition disappears and therefore the Weyl points are destroyed. All these phenomena are qualitatively similar to that of axion fields induced momentum relaxation, indicating that a universal feature emerges in the momentum relaxed holographic Weyl semimetals, which is also consistent with the predictions from weakly coupled field theory. |
hep-th/0603081 | Roberto Emparan | Roberto Emparan | Black hole entropy as entanglement entropy: a holographic derivation | 14 pages, 2 figures. v2: relevant earlier reference added and
discussed. v3: new section about connection to another notion of entanglement
in AdS/CFT. Refs added, and | JHEP0606:012,2006 | 10.1088/1126-6708/2006/06/012 | null | hep-th gr-qc | null | We study the possibility that black hole entropy be identified as entropy of
entanglement across the horizon of the vacuum of a quantum field in the
presence of the black hole. We argue that a recent proposal for computing
entanglement entropy using AdS/CFT holography implies that black hole entropy
can be exactly equated with entanglement entropy. The implementation of
entanglement entropy in this context solves all the problems (such as cutoff
dependence and the species problem) typically associated with this
identification.
| [
{
"created": "Fri, 10 Mar 2006 14:21:08 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2006 23:10:31 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Apr 2006 09:23:09 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Emparan",
"Roberto",
""
]
] | We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement entropy using AdS/CFT holography implies that black hole entropy can be exactly equated with entanglement entropy. The implementation of entanglement entropy in this context solves all the problems (such as cutoff dependence and the species problem) typically associated with this identification. |
hep-th/9504132 | Silvio Rabello | Silvio J. Rabello and Patricio Gaete | The BFV Approach for a Nonlocal Symmetry of QED | 8 pages, RevTex | Phys.Rev. D52 (1995) 7205-7207 | 10.1103/PhysRevD.52.7205 | null | hep-th hep-ph | null | In this paper we use the Batalin-Fradkin-Vilkovisky formalism to study a
recently proposed nonlocal symmetry of QED. In the BFV extended phase space we
show that this symmetry stems from a canonical transformation in the ghost
sector.
| [
{
"created": "Tue, 25 Apr 1995 18:37:40 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Rabello",
"Silvio J.",
""
],
[
"Gaete",
"Patricio",
""
]
] | In this paper we use the Batalin-Fradkin-Vilkovisky formalism to study a recently proposed nonlocal symmetry of QED. In the BFV extended phase space we show that this symmetry stems from a canonical transformation in the ghost sector. |
hep-th/9412002 | Hermann Nicolai | B. Julia (ENS, Paris) and H. Nicolai (Hamburg University) | Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics | LATEX, 41 pages, no figures | Nucl.Phys. B439 (1995) 291-326 | 10.1016/0550-3213(94)00584-2 | LPTENS 94/21 and DESY 94-156 | hep-th gr-qc | null | The solutions of Einstein's equations admitting one non-null Killing vector
field are best studied with the projection formalism of Geroch. When the
Killing vector is lightlike, the projection onto the orbit space still exists
and one expects a covariant theory with degenerate contravariant metric to
appear, its geometry is presented here. Despite the complications of
indecomposable representations of the local Euclidean subgroup, one obtains an
absolute time and a canonical, Galilean and so-called Newtonian, torsionless
connection. The quasi-Maxwell field (Kaluza Klein one-form) that appears in the
dimensional reduction is a non-separable part of this affine connection, in
contrast to the reduction with a non-null Killing vector. One may define the
Kaluza Klein scalar (dilaton) together with the absolute time coordinate after
having imposed one of the equations of motion in order to prevent the emergence
of torsion. We present a detailed analysis of the dimensional reduction using
moving frames, we derive the complete equations of motion and propose an action
whose variation gives rise to all but one of them. Hidden symmetries are shown
to act on the space of solutions.
| [
{
"created": "Thu, 1 Dec 1994 13:11:14 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Julia",
"B.",
"",
"ENS, Paris"
],
[
"Nicolai",
"H.",
"",
"Hamburg University"
]
] | The solutions of Einstein's equations admitting one non-null Killing vector field are best studied with the projection formalism of Geroch. When the Killing vector is lightlike, the projection onto the orbit space still exists and one expects a covariant theory with degenerate contravariant metric to appear, its geometry is presented here. Despite the complications of indecomposable representations of the local Euclidean subgroup, one obtains an absolute time and a canonical, Galilean and so-called Newtonian, torsionless connection. The quasi-Maxwell field (Kaluza Klein one-form) that appears in the dimensional reduction is a non-separable part of this affine connection, in contrast to the reduction with a non-null Killing vector. One may define the Kaluza Klein scalar (dilaton) together with the absolute time coordinate after having imposed one of the equations of motion in order to prevent the emergence of torsion. We present a detailed analysis of the dimensional reduction using moving frames, we derive the complete equations of motion and propose an action whose variation gives rise to all but one of them. Hidden symmetries are shown to act on the space of solutions. |
1008.3810 | Balazs Pozsgay | B. Pozsgay, G. Takacs | Form factor expansion for thermal correlators | 41 pages; v2: minor corrections, v3: minor corrections | J.Stat.Mech.1011:P11012,2010 | 10.1088/1742-5468/2010/11/P11012 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider finite temperature correlation functions in massive integrable
Quantum Field Theory. Using a regularization by putting the system in finite
volume, we develop a novel approach (based on multi-dimensional residues) to
the form factor expansion for thermal correlators. The first few terms are
obtained explicitly in theories with diagonal scattering. We also discuss the
validity of the LeClair-Mussardo proposal.
| [
{
"created": "Mon, 23 Aug 2010 12:50:30 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Aug 2010 10:18:38 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Oct 2010 17:04:50 GMT",
"version": "v3"
}
] | 2011-03-28 | [
[
"Pozsgay",
"B.",
""
],
[
"Takacs",
"G.",
""
]
] | We consider finite temperature correlation functions in massive integrable Quantum Field Theory. Using a regularization by putting the system in finite volume, we develop a novel approach (based on multi-dimensional residues) to the form factor expansion for thermal correlators. The first few terms are obtained explicitly in theories with diagonal scattering. We also discuss the validity of the LeClair-Mussardo proposal. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.