id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9907195 | Sergei Bulgadaev | S.A.Bulgadaev (Landau Institute, Moscow) | Topological phase transitions in two-dimensional systems with internal
symmetries | 24 pages, 2 figures, 1 table; a talk given at seminar "Topological
Defects in Non-Equilibrium Systems and Condensed Matter", MPIPKS, Dresden, 22
July, 1999, Germany | null | 10.1134/1.559059 | LIP-26/07/99 | hep-th cond-mat | null | Possible generalizations of the topological (or
Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems
with nontrivial vector homotopic group pi_1 are considered. Relations between
Ginzburg-Landau like theories, non-linear sigma-models on maximal Cartan
subgroups of simple compact Lie groups and generalized sine-Gordon type
theories are discussed. D-dimensional non-linear sigma-model admitting
topological excitations with logarithmic energies are constructed.
| [
{
"created": "Tue, 27 Jul 1999 11:53:39 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bulgadaev",
"S. A.",
"",
"Landau Institute, Moscow"
]
] | Possible generalizations of the topological (or Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems with nontrivial vector homotopic group pi_1 are considered. Relations between Ginzburg-Landau like theories, non-linear sigma-models on maximal Cartan subgroups of simple compact Lie groups and generalized sine-Gordon type theories are discussed. D-dimensional non-linear sigma-model admitting topological excitations with logarithmic energies are constructed. |
hep-th/9506159 | null | Kris Thielemans | An Algorithmic Approach to Operator Product Expansions, $W$-Algebras and
$W$-Strings | 127 pages, LaTex, shar-file including readme.txt, 12 latex files, 6
eps files and 6 pcx files, PhD. thesis KU Leuven | null | null | null | hep-th | null | String theory is currently the most promising theory to explain the spectrum
of the elementary particles and their interactions. One of its most important
features is its large symmetry group, which contains the conformal
transformations in two dimensions as a subgroup. At quantum level, the symmetry
group of a theory gives rise to differential equations between correlation
functions of observables. We show that these Ward-identities are equivalent to
Operator Product Expansions (OPEs), which encode the short-distance
singularities of correlation functions with symmetry generators. The OPEs allow
us to determine algebraically many properties of the theory under study. We
analyse the calculational rules for OPEs, give an algorithm to compute OPEs,
and discuss an implementation in Mathematica. There exist different string
theories, based on extensions of the conformal algebra to so-called W-algebras.
These algebras are generically nonlinear. We study their OPEs, with as main
results an efficient algorithm to compute the beta-coefficients in the OPEs,
the first explicit construction of the WB_2-algebra, and criteria for the
factorisation of free fields in a W-algebra. An important technique to
construct realisations of W-algebras is Drinfel'd- Sokolov reduction. The
method consists of imposing certain constraints on the elements of an affine
Lie algebra. We quantise this reduction via gauged WZNW-models. This enables us
in a theory with a gauged W-symmetry, to compute exactly the correlation
functions of the effective theory. Finally, we investigate the critical
W-string theories based on an extension of the conformal algebra with one
symmetry generator of dimension N. We clarify how the spectrum of this theory
forms a minimal model of the W_N-algebra.
| [
{
"created": "Fri, 23 Jun 1995 17:17:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Thielemans",
"Kris",
""
]
] | String theory is currently the most promising theory to explain the spectrum of the elementary particles and their interactions. One of its most important features is its large symmetry group, which contains the conformal transformations in two dimensions as a subgroup. At quantum level, the symmetry group of a theory gives rise to differential equations between correlation functions of observables. We show that these Ward-identities are equivalent to Operator Product Expansions (OPEs), which encode the short-distance singularities of correlation functions with symmetry generators. The OPEs allow us to determine algebraically many properties of the theory under study. We analyse the calculational rules for OPEs, give an algorithm to compute OPEs, and discuss an implementation in Mathematica. There exist different string theories, based on extensions of the conformal algebra to so-called W-algebras. These algebras are generically nonlinear. We study their OPEs, with as main results an efficient algorithm to compute the beta-coefficients in the OPEs, the first explicit construction of the WB_2-algebra, and criteria for the factorisation of free fields in a W-algebra. An important technique to construct realisations of W-algebras is Drinfel'd- Sokolov reduction. The method consists of imposing certain constraints on the elements of an affine Lie algebra. We quantise this reduction via gauged WZNW-models. This enables us in a theory with a gauged W-symmetry, to compute exactly the correlation functions of the effective theory. Finally, we investigate the critical W-string theories based on an extension of the conformal algebra with one symmetry generator of dimension N. We clarify how the spectrum of this theory forms a minimal model of the W_N-algebra. |
hep-th/9307048 | null | L. Faddeev and A.Yu. Volkov | Abelian Current Algebra and the Virasoro Algebra on the Lattice | 11 pages, LATEX, HU-TFT-93-29 | Phys.Lett. B315 (1993) 311-318 | 10.1016/0370-2693(93)91618-W | null | hep-th | null | We describe how a natural lattice analogue of the abelian current algebra
combined with free discrete time dynamics gives rise to the lattice Virasoro
algebra and corresponding hierarchy of conservation laws.
| [
{
"created": "Wed, 7 Jul 1993 16:24:23 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Faddeev",
"L.",
""
],
[
"Volkov",
"A. Yu.",
""
]
] | We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws. |
1010.1683 | Sanjaye Ramgoolam | Jurgis Pasukonis, Sanjaye Ramgoolam | From counting to construction of BPS states in N=4 SYM | 41 pages + Appendices, 4 figures; v2 - refs and acknowledgments added | JHEP 1102:078,2011 | 10.1007/JHEP02(2011)078 | QMUL-PH-10-06 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a universal element in the group algebra of symmetric groups,
whose characters provides the counting of quarter and eighth BPS states at weak
coupling in N=4 SYM, refined according to representations of the global
symmetry group. A related projector acting on the Hilbert space of the free
theory is used to construct the matrix of two-point functions of the states
annihilated by the one-loop dilatation operator, at finite N or in the large N
limit. The matrix is given simply in terms of Clebsch-Gordan coefficients of
symmetric groups and dimensions of U(N) representations. It is expected, by
non-renormalization theorems, to contain observables at strong coupling. Using
the stringy exclusion principle, we interpret a class of its eigenvalues and
eigenvectors in terms of giant gravitons. We also give a formula for the action
of the one-loop dilatation operator on the orthogonal basis of the free theory,
which is manifestly covariant under the global symmetry.
| [
{
"created": "Fri, 8 Oct 2010 13:15:42 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2010 14:53:44 GMT",
"version": "v2"
}
] | 2011-03-02 | [
[
"Pasukonis",
"Jurgis",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We describe a universal element in the group algebra of symmetric groups, whose characters provides the counting of quarter and eighth BPS states at weak coupling in N=4 SYM, refined according to representations of the global symmetry group. A related projector acting on the Hilbert space of the free theory is used to construct the matrix of two-point functions of the states annihilated by the one-loop dilatation operator, at finite N or in the large N limit. The matrix is given simply in terms of Clebsch-Gordan coefficients of symmetric groups and dimensions of U(N) representations. It is expected, by non-renormalization theorems, to contain observables at strong coupling. Using the stringy exclusion principle, we interpret a class of its eigenvalues and eigenvectors in terms of giant gravitons. We also give a formula for the action of the one-loop dilatation operator on the orthogonal basis of the free theory, which is manifestly covariant under the global symmetry. |
1101.5474 | Jun Jin Peng | Shuang-Qing Wu, Jun-Jin Peng | Thermodynamics and Hawking radiation of five-dimensional rotating
charged G\"{o}del black holes | 12 pages, no figures, accepted by PRD | Phys.Rev.D83:044028,2011 | 10.1103/PhysRevD.83.044028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of G\"{o}del-type rotating charged black holes in
five-dimensional minimal supergravity. These black holes exhibit some peculiar
features such as the presence of closed time-like curves and the absence of
globally spatial-like Cauchy surface. We explicitly compute their energies,
angular momenta, and electric charges that are consistent with the first law of
thermodynamics. Besides, We extend the covariant anomaly cancellation method,
as well as the approach of the effective action, to derive their Hawking
fluxes. Both the methods of the anomaly cancellation and effective action give
the same Hawking fluxes as those from Planck distribution for blackbody
radiation in the background of the charged rotating G\"{o}del black holes. Our
results further support that Hawking radiation is a quantum phenomenon arising
at the event horizon.
| [
{
"created": "Fri, 28 Jan 2011 08:38:41 GMT",
"version": "v1"
}
] | 2011-02-22 | [
[
"Wu",
"Shuang-Qing",
""
],
[
"Peng",
"Jun-Jin",
""
]
] | We study the thermodynamics of G\"{o}del-type rotating charged black holes in five-dimensional minimal supergravity. These black holes exhibit some peculiar features such as the presence of closed time-like curves and the absence of globally spatial-like Cauchy surface. We explicitly compute their energies, angular momenta, and electric charges that are consistent with the first law of thermodynamics. Besides, We extend the covariant anomaly cancellation method, as well as the approach of the effective action, to derive their Hawking fluxes. Both the methods of the anomaly cancellation and effective action give the same Hawking fluxes as those from Planck distribution for blackbody radiation in the background of the charged rotating G\"{o}del black holes. Our results further support that Hawking radiation is a quantum phenomenon arising at the event horizon. |
hep-th/0007048 | Dmitri Sorokin | Paolo Pasti, Dmitri Sorokin and Mario Tonin | Superembeddings, Partial Supersymmetry Breaking and Superbranes | LaTeX2e file, 31 page. (v2) Established relationship with
hep-th/9901003 in new Subsection 3.6. Misprints corrected. (v3) Added
acknowledgement | Nucl.Phys.B591:109-138,2000 | 10.1016/S0550-3213(00)00569-1 | DFPD 00/TH/31, ESI-912 | hep-th | null | It is advocated that the superembedding approach is a generic covariant
method for the description of superbranes as models of (partial) spontaneous
supersymmetry breaking. As an illustration we construct (in the framework of
superembeddings) an n=1, d=3 worldvolume superfield action for a supermembrane
propagating in N=1, D=4,5,7 and 11-dimensional supergravity backgrounds. We
then show how in the case of an N=1, D=4 target superspace gauge fixing local
worldvolume superdiffeomorphisms in the covariant supermembrane action results
in an effective N=2, d=3 supersymmetric field theory with N=2 supersymmetry
being spontaneously broken down to N=1. The broken part of N=2, d=3
supersymmetry is nonlinearly realized when acting on Goldstone N=1, d=3
superfields, which describe physical degrees of freedom of the model. As an
introduction to the formalism, the procedure of getting effective field
theories with partially broken supersymmetry by gauge fixing covariant
superbrane actions is also demonstrated with a simpler example of a massive
N=2, D=2 superparticle.
| [
{
"created": "Thu, 6 Jul 2000 17:02:23 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2000 17:34:50 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jul 2000 15:14:39 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Pasti",
"Paolo",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Tonin",
"Mario",
""
]
] | It is advocated that the superembedding approach is a generic covariant method for the description of superbranes as models of (partial) spontaneous supersymmetry breaking. As an illustration we construct (in the framework of superembeddings) an n=1, d=3 worldvolume superfield action for a supermembrane propagating in N=1, D=4,5,7 and 11-dimensional supergravity backgrounds. We then show how in the case of an N=1, D=4 target superspace gauge fixing local worldvolume superdiffeomorphisms in the covariant supermembrane action results in an effective N=2, d=3 supersymmetric field theory with N=2 supersymmetry being spontaneously broken down to N=1. The broken part of N=2, d=3 supersymmetry is nonlinearly realized when acting on Goldstone N=1, d=3 superfields, which describe physical degrees of freedom of the model. As an introduction to the formalism, the procedure of getting effective field theories with partially broken supersymmetry by gauge fixing covariant superbrane actions is also demonstrated with a simpler example of a massive N=2, D=2 superparticle. |
hep-th/9605136 | Michael Dine | Tom Banks and Michael Dine | Couplings and Scales in Strongly Coupled Heterotic String Theory | 36 pages; uses harvmac. Refs. added | Nucl.Phys. B479 (1996) 173-196 | 10.1016/0550-3213(96)00457-9 | SCIPP 96/15 | hep-th | null | If nature is described by string theory, and if the compactification radius
is large (as suggested by the unification of couplings), then the theory is in
a regime best described by the low energy limit of $M$-theory. We discuss some
phenomenological aspects of this view. The scale at which conventional quantum
field theory breaks down is of order the unification scale and consequently
(approximate) discrete symmetries are essential to prevent proton decay. There
are one or more light axions, one of which solves the strong CP problem.
Modular cosmology is still problematic but much more complex than in
perturbative string vacua. We also consider a range of more theoretical issues,
focusing particularly on the question of stabilizing the moduli. We give a
simple, weak coupling derivation of Witten's expression for the dependence of
the coupling constants on the eleven dimensional radius. We discuss the
criteria for the validity of the long wavelength analysis and find that the
"real world" seems to sit just where this analysis is breaking down. On the
other hand, residual constraints from N=2 supersymmetry make it difficult to
see how the moduli can be stabilized while at the same time yielding a large
hierarchy.
| [
{
"created": "Mon, 20 May 1996 23:38:40 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 1996 00:11:35 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Banks",
"Tom",
""
],
[
"Dine",
"Michael",
""
]
] | If nature is described by string theory, and if the compactification radius is large (as suggested by the unification of couplings), then the theory is in a regime best described by the low energy limit of $M$-theory. We discuss some phenomenological aspects of this view. The scale at which conventional quantum field theory breaks down is of order the unification scale and consequently (approximate) discrete symmetries are essential to prevent proton decay. There are one or more light axions, one of which solves the strong CP problem. Modular cosmology is still problematic but much more complex than in perturbative string vacua. We also consider a range of more theoretical issues, focusing particularly on the question of stabilizing the moduli. We give a simple, weak coupling derivation of Witten's expression for the dependence of the coupling constants on the eleven dimensional radius. We discuss the criteria for the validity of the long wavelength analysis and find that the "real world" seems to sit just where this analysis is breaking down. On the other hand, residual constraints from N=2 supersymmetry make it difficult to see how the moduli can be stabilized while at the same time yielding a large hierarchy. |
2112.14419 | Mirian Tsulaia | I.L.Buchbinder, V.A.Krykhtin, M.Tsulaia, D.Weissman | Supersymmetric Cubic Interactions For Lower Spins From "Higher Spin"
Approach | 30 pages. Based on talks given at "Quarks 2020" and "Aspects of
Symmetry 2021", Published version | PoS Regio2021 035, 2022 | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We demonstrate how to reconstruct standard cubic vertices for N=1
supersymmetric Yang-Mills and Supergravities using various techniques adopted
for the description of cubic interactions between higher spin fields.
| [
{
"created": "Wed, 29 Dec 2021 06:54:50 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2022 02:51:42 GMT",
"version": "v2"
}
] | 2022-05-19 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
],
[
"Tsulaia",
"M.",
""
],
[
"Weissman",
"D.",
""
]
] | We demonstrate how to reconstruct standard cubic vertices for N=1 supersymmetric Yang-Mills and Supergravities using various techniques adopted for the description of cubic interactions between higher spin fields. |
hep-th/9902105 | Ashoke Sen | Ashoke Sen | Descent Relations Among Bosonic D-branes | LaTeX file, epsf.sty, 8 figures, 22 pages, references added | Int.J.Mod.Phys.A14:4061-4078,1999 | 10.1142/S0217751X99001901 | MRI-PHY/P990203 | hep-th | null | We show that the tachyonic kink solution on a pair of D-p-branes in the
bosonic string theory can be identified with the D-(p-1)-brane of the same
theory. We also speculate on the possibility of obtaining the D-(p-1)-brane as
a tachyonic lump on a single D-p-brane. We suggest a possible reinterpretation
of the first result which unifies these two apparently different descriptions
of the D-(p-1) brane.
| [
{
"created": "Mon, 15 Feb 1999 06:22:01 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 1999 06:52:39 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Mar 1999 09:49:06 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Mar 1999 04:23:10 GMT",
"version": "v4"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We show that the tachyonic kink solution on a pair of D-p-branes in the bosonic string theory can be identified with the D-(p-1)-brane of the same theory. We also speculate on the possibility of obtaining the D-(p-1)-brane as a tachyonic lump on a single D-p-brane. We suggest a possible reinterpretation of the first result which unifies these two apparently different descriptions of the D-(p-1) brane. |
1709.03205 | Jin-Yi Pang | Jiunn-Wei Chen and Jin-Yi Pang | On the Renormalization of Entanglement Entropy | 7 pages,3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The renormalization of entanglement entropy of quantum field theories is
investigated in the simplest setting with a $\lambda \phi^4$ scalar field
theory. The 3+1 dimensional spacetime is separated into two regions by an
infinitely flat 2-dimensional interface. The entanglement entropy of the system
across the interface has an elegant geometrical interpretation using the
replica trick, which requires putting the field theory on a curved spacetime
background. We demonstrate that the theory, and hence the entanglement entropy,
is renormalizable at order $\lambda$ once all the relevant operators up to
dimension-4 are included in the action. This exercise has a one-to-one
correspondence to entanglement entropy interpretation of the black hole entropy
which suggests that our treatment is sensible. Our study suggests that
entanglement entropy is renormalizable and is a physical quantity.
| [
{
"created": "Mon, 11 Sep 2017 00:52:33 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2017 08:36:28 GMT",
"version": "v2"
}
] | 2017-09-19 | [
[
"Chen",
"Jiunn-Wei",
""
],
[
"Pang",
"Jin-Yi",
""
]
] | The renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a $\lambda \phi^4$ scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat 2-dimensional interface. The entanglement entropy of the system across the interface has an elegant geometrical interpretation using the replica trick, which requires putting the field theory on a curved spacetime background. We demonstrate that the theory, and hence the entanglement entropy, is renormalizable at order $\lambda$ once all the relevant operators up to dimension-4 are included in the action. This exercise has a one-to-one correspondence to entanglement entropy interpretation of the black hole entropy which suggests that our treatment is sensible. Our study suggests that entanglement entropy is renormalizable and is a physical quantity. |
hep-th/0407178 | Mirjam Cvetic | Mirjam Cvetic, Paul Langacker, Tianjun Li, and Tao Liu | D6-brane Splitting on Type IIA Orientifolds | 44 pages, 7 figures; The anomaly-free models in Subsections 4.2 and
4.3 presented, references added, typos fixed | Nucl.Phys.B709:241-266,2005 | 10.1016/j.nuclphysb.2004.12.028 | UPR-1085-T | hep-th hep-ph | null | We study the open-string moduli of supersymmetric D6-branes, addressing both
the string and field theory aspects of D6-brane splitting on Type IIA
orientifolds induced by open-string moduli Higgsing (i.e., their obtaining
VEVs). Specifically, we focus on the Z_2 x Z_2 orientifolds and address the
symmetry breaking pattern for D6-branes parallel with the orientifold 6-planes
as well as those positioned at angles. We demonstrate that the string theory
results, i.e., D6-brane splitting and relocating in internal space, are in one
to one correspondence with the field theory results associated with the
Higgsing of moduli in the antisymmetric representation of Sp(2N) gauge symmetry
(for branes parallel with orientifold planes) or adjoint representation of U(N)
(for branes at general angles). In particular, the moduli Higgsing in the
open-string sector results in the change of the gauge structure of D6-branes
and thus changes the chiral spectrum and family number as well. As a
by-product, we provide the new examples of the supersymmetric Standard-like
models with the electroweak sector arising from Sp(2N)_L x Sp(2N)_R gauge
symmetry; and one four-family example is free of chiral Standard Model exotics.
| [
{
"created": "Wed, 21 Jul 2004 19:13:32 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2004 17:50:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Langacker",
"Paul",
""
],
[
"Li",
"Tianjun",
""
],
[
"Liu",
"Tao",
""
]
] | We study the open-string moduli of supersymmetric D6-branes, addressing both the string and field theory aspects of D6-brane splitting on Type IIA orientifolds induced by open-string moduli Higgsing (i.e., their obtaining VEVs). Specifically, we focus on the Z_2 x Z_2 orientifolds and address the symmetry breaking pattern for D6-branes parallel with the orientifold 6-planes as well as those positioned at angles. We demonstrate that the string theory results, i.e., D6-brane splitting and relocating in internal space, are in one to one correspondence with the field theory results associated with the Higgsing of moduli in the antisymmetric representation of Sp(2N) gauge symmetry (for branes parallel with orientifold planes) or adjoint representation of U(N) (for branes at general angles). In particular, the moduli Higgsing in the open-string sector results in the change of the gauge structure of D6-branes and thus changes the chiral spectrum and family number as well. As a by-product, we provide the new examples of the supersymmetric Standard-like models with the electroweak sector arising from Sp(2N)_L x Sp(2N)_R gauge symmetry; and one four-family example is free of chiral Standard Model exotics. |
1710.00270 | Dmitry Ponomarev | Dmitry Ponomarev | Chiral Higher Spin Theories and Self-Duality | 51 page, clarifications added | null | 10.1007/JHEP12(2017)141 | Imperial-TP-DP-2017-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study recently proposed chiral higher spin theories - cubic theories of
interacting massless higher spin fields in four-dimensional flat space. We show
that they are naturally associated with gauge algebras, which manifest
themselves in several related ways. Firstly, the chiral higher spin equations
of motion can be reformulated as the self-dual Yang-Mills equations with the
associated gauge algebras instead of the usual colour gauge algebra. We also
demonstrate that the chiral higher spin field equations, similarly to the
self-dual Yang-Mills equations, feature an infinite algebra of hidden
symmetries, which ensures their integrability. Secondly, we show that off-shell
amplitudes in chiral higher spin theories satisfy the generalised BCJ relations
with the usual colour structure constants replaced by the structure constants
of higher spin gauge algebras. We also propose generalised double copy
procedures featuring higher spin theory amplitudes. Finally, using the
light-cone deformation procedure we prove that the structure of the Lagrangian
that leads to all these properties is universal and follows from Lorentz
invariance.
| [
{
"created": "Sat, 30 Sep 2017 23:18:10 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Oct 2017 19:12:37 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Jan 2018 21:35:46 GMT",
"version": "v3"
}
] | 2018-01-23 | [
[
"Ponomarev",
"Dmitry",
""
]
] | We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in several related ways. Firstly, the chiral higher spin equations of motion can be reformulated as the self-dual Yang-Mills equations with the associated gauge algebras instead of the usual colour gauge algebra. We also demonstrate that the chiral higher spin field equations, similarly to the self-dual Yang-Mills equations, feature an infinite algebra of hidden symmetries, which ensures their integrability. Secondly, we show that off-shell amplitudes in chiral higher spin theories satisfy the generalised BCJ relations with the usual colour structure constants replaced by the structure constants of higher spin gauge algebras. We also propose generalised double copy procedures featuring higher spin theory amplitudes. Finally, using the light-cone deformation procedure we prove that the structure of the Lagrangian that leads to all these properties is universal and follows from Lorentz invariance. |
hep-th/0412092 | Varghese Mathai | Peter Bouwknegt (Adelaide), Keith Hannabuss (Oxford), Varghese Mathai
(Adelaide) | Nonassociative tori and applications to T-duality | 32 pages, latex2e, uses xypic; added more details on the
nonassociative torus | Commun.Math.Phys.264:41-69,2006 | 10.1007/s00220-005-1501-8 | null | hep-th | null | In this paper, we initiate the study of C*-algebras endowed with a twisted
action of a locally compact Abelian Lie group, and we construct a twisted
crossed product, which is in general a nonassociative, noncommutative, algebra.
The properties of this twisted crossed product algebra are studied in detail,
and are applied to T-duality in Type II string theory to obtain the T-dual of a
general principal torus bundle with general H-flux, which we will argue to be a
bundle of noncommutative, nonassociative tori. We also show that this
construction of the T-dual includes all of the special cases that were
previously analysed.
| [
{
"created": "Wed, 8 Dec 2004 19:34:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2005 04:13:22 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Bouwknegt",
"Peter",
"",
"Adelaide"
],
[
"Hannabuss",
"Keith",
"",
"Oxford"
],
[
"Mathai",
"Varghese",
"",
"Adelaide"
]
] | In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact Abelian Lie group, and we construct a twisted crossed product, which is in general a nonassociative, noncommutative, algebra. The properties of this twisted crossed product algebra are studied in detail, and are applied to T-duality in Type II string theory to obtain the T-dual of a general principal torus bundle with general H-flux, which we will argue to be a bundle of noncommutative, nonassociative tori. We also show that this construction of the T-dual includes all of the special cases that were previously analysed. |
hep-th/0006173 | Jose Luis Boldo | J.L. Boldo, C.A.G. Sasaki, S.P. Sorella and L.C.Q. Vilar | Vector Supersymmetry of 2D Yang-Mills Theory | Some references added | J.Phys.A34:2743-2752,2001 | 10.1088/0305-4470/34/13/306 | null | hep-th | null | The vector supersymmetry of the 2D topological BF model is extended to 2D
Yang-Mills. The consequences of the corresponding Ward identity on the
ultraviolet behavior of the theory are analyzed.
| [
{
"created": "Wed, 21 Jun 2000 20:54:01 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2000 22:27:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Boldo",
"J. L.",
""
],
[
"Sasaki",
"C. A. G.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Vilar",
"L. C. Q.",
""
]
] | The vector supersymmetry of the 2D topological BF model is extended to 2D Yang-Mills. The consequences of the corresponding Ward identity on the ultraviolet behavior of the theory are analyzed. |
1904.07502 | Erez Y. Urbach | Ofer Aharony, Erez Y. Urbach and Maya Weiss | Generalized Hawking-Page transitions | null | JHEP 1908:018,2019 | 10.1007/JHEP08(2019)018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct holographic backgrounds that are dual by the AdS/CFT
correspondence to Euclidean conformal field theories on products of spheres
$S^{d_1}\times S^{d_2}$, for conformal field theories whose dual may be
approximated by classical Einstein gravity (typically these are large $N$
strongly coupled theories). For $d_2=1$ these backgrounds correspond to thermal
field theories on $S^{d_1}$, and Hawking and Page found that there are several
possible bulk solutions, with two different topologies, that compete with each
other, leading to a phase transition as the relative size of the spheres is
modified. By numerically solving the Einstein equations we find similar results
also for $d_2>1$, with bulk solutions in which either one or the other sphere
shrinks to zero smoothly at a minimal value of the radial coordinate, and with
a first order phase transition (for $d_1+d_2 < 9$) between solutions of two
different topologies as the relative radius changes. For a critical ratio of
the radii there is a (sub-dominant) singular solution where both spheres
shrink, and we analytically analyze the behavior near this radius. For $d_1+d_2
< 9$ the number of solutions grows to infinity as the critical ratio is
approached.
| [
{
"created": "Tue, 16 Apr 2019 07:29:17 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2019 14:42:09 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Aug 2019 11:19:20 GMT",
"version": "v3"
}
] | 2019-08-09 | [
[
"Aharony",
"Ofer",
""
],
[
"Urbach",
"Erez Y.",
""
],
[
"Weiss",
"Maya",
""
]
] | We construct holographic backgrounds that are dual by the AdS/CFT correspondence to Euclidean conformal field theories on products of spheres $S^{d_1}\times S^{d_2}$, for conformal field theories whose dual may be approximated by classical Einstein gravity (typically these are large $N$ strongly coupled theories). For $d_2=1$ these backgrounds correspond to thermal field theories on $S^{d_1}$, and Hawking and Page found that there are several possible bulk solutions, with two different topologies, that compete with each other, leading to a phase transition as the relative size of the spheres is modified. By numerically solving the Einstein equations we find similar results also for $d_2>1$, with bulk solutions in which either one or the other sphere shrinks to zero smoothly at a minimal value of the radial coordinate, and with a first order phase transition (for $d_1+d_2 < 9$) between solutions of two different topologies as the relative radius changes. For a critical ratio of the radii there is a (sub-dominant) singular solution where both spheres shrink, and we analytically analyze the behavior near this radius. For $d_1+d_2 < 9$ the number of solutions grows to infinity as the critical ratio is approached. |
1305.2564 | Kiyoshi Shiraishi | Kiyoshi Shiraishi | Superradiance from a Charged Dilaton Black Hole | 6 pages, no figure | Modern Physics Letters A7, No. 37, pp. 3449-3454 (1992) | 10.1142/S0217732392002858 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behavior of the wave function of charged Klein-Gordon field
around a charge dilaton black hole. The rate of spontaneous charge loss is
estimated for large black hole case.
| [
{
"created": "Sun, 12 May 2013 06:51:44 GMT",
"version": "v1"
}
] | 2013-05-14 | [
[
"Shiraishi",
"Kiyoshi",
""
]
] | We study the behavior of the wave function of charged Klein-Gordon field around a charge dilaton black hole. The rate of spontaneous charge loss is estimated for large black hole case. |
1812.08195 | Andrea Dei | Andrea Dei, Alessandro Sfondrini | Integrable S matrix, mirror TBA and spectrum for the stringy
$\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$ WZW model | 38 pages, Version accepted for publication in JHEP | null | 10.1007/JHEP02(2019)072 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the tree-level bosonic S matrix in light-cone gauge for
superstrings on pure-NSNS
$\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that
it is proportional to the identity and that it takes the same form as for
$\text{AdS}_{3} \times \text{S}^3\times\text{T}^4$ and for flat space. Based on
this, we make a conjecture for the exact worldsheet S matrix and derive the
mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum.
Despite a non-trivial vacuum energy, they can be solved in closed form and
coincide with a simple set of Bethe ansatz equations - again much like
$\text{AdS}_{3}\times\text{S}^3\times\text{T}^4$ and flat space. This suggests
that the model may have an integrable spin-chain interpretation. Finally, as a
check of our proposal, we compute the spectrum from the worldsheet CFT in the
case of highest-weight representations of the underlying Ka\v{c}-Moody
algebras, and show that the mirror-TBA prediction matches it on the nose.
| [
{
"created": "Wed, 19 Dec 2018 19:07:07 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2019 15:11:33 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Dei",
"Andrea",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] | We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS $\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that it is proportional to the identity and that it takes the same form as for $\text{AdS}_{3} \times \text{S}^3\times\text{T}^4$ and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations - again much like $\text{AdS}_{3}\times\text{S}^3\times\text{T}^4$ and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Ka\v{c}-Moody algebras, and show that the mirror-TBA prediction matches it on the nose. |
2110.15544 | Satoshi Kanno | Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno and Takaki Matsumoto | Matrix regularization for tensor fields | 27 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a novel matrix regularization for tensor fields. In this
regularization, tensor fields are described as rectangular matrices and both
area-preserving diffeomorphisms and local rotations of the orthonormal frame
are realized as unitary similarity transformations of matrices in a unified
way. We also show that the matrix commutator corresponds to the covariantized
Poisson bracket for tensor fields in the large-$N$ limit.
| [
{
"created": "Fri, 29 Oct 2021 05:25:00 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Oct 2022 08:15:08 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Nov 2022 08:01:16 GMT",
"version": "v3"
}
] | 2022-11-08 | [
[
"Adachi",
"Hiroyuki",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Kanno",
"Satoshi",
""
],
[
"Matsumoto",
"Takaki",
""
]
] | We propose a novel matrix regularization for tensor fields. In this regularization, tensor fields are described as rectangular matrices and both area-preserving diffeomorphisms and local rotations of the orthonormal frame are realized as unitary similarity transformations of matrices in a unified way. We also show that the matrix commutator corresponds to the covariantized Poisson bracket for tensor fields in the large-$N$ limit. |
hep-th/9207024 | Neil Marcus | Neil Marcus (U of Tel-Aviv) | The N=2 open string | 17 Pages (LaTeX) | Nucl.Phys.B387:263-279,1992 | 10.1016/0550-3213(92)90161-4 | TAUP-1929-91 | hep-th | null | We show that the N=2 open string describes a theory of self-dual Yang Mills
(SDYM) in (2,2) dimensions. The coupling to the closed sector is described by
SDYM in a Kahler background, with the Yang-Mills fields providing a source term
to the self-duality equation in the gravity sector. The four-point S-matrix
elements of the theory vanish, so the tree-level unitarity constraints leading
to the Chan-Paton construction are relaxed. By considering more general
group-theory ansatze the N=2 string can be written for any gauge group, and not
just the classical groups allowed for the bosonic and N=1 strings. Such ad hoc
group-theory factors can not be appended to the closed N=2 string, explaining
why the Z_n closed N=2 strings are trivial extensions of the Z_1 theory.
| [
{
"created": "Thu, 9 Jul 1992 11:03:05 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Marcus",
"Neil",
"",
"U of Tel-Aviv"
]
] | We show that the N=2 open string describes a theory of self-dual Yang Mills (SDYM) in (2,2) dimensions. The coupling to the closed sector is described by SDYM in a Kahler background, with the Yang-Mills fields providing a source term to the self-duality equation in the gravity sector. The four-point S-matrix elements of the theory vanish, so the tree-level unitarity constraints leading to the Chan-Paton construction are relaxed. By considering more general group-theory ansatze the N=2 string can be written for any gauge group, and not just the classical groups allowed for the bosonic and N=1 strings. Such ad hoc group-theory factors can not be appended to the closed N=2 string, explaining why the Z_n closed N=2 strings are trivial extensions of the Z_1 theory. |
1712.09826 | Brian Swingle | Brian Swingle and Yixu Wang | Holographic Complexity of Einstein-Maxwell-Dilaton Gravity | 30 pages; v2: Fixed a technical error. Corrected result no longer has
a logarithmic divergence in the action growth rate associated with the
singularity. Conjectured complexity growth rate now also matches better with
tensor network models | null | 10.1007/JHEP09(2018)106 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using
the recently proposed "complexity = volume" and "complexity = action"
dualities. The model we consider has a ground state that is represented in the
bulk via a so-called hyperscaling violating geometry. We calculate the action
growth of the Wheeler-DeWitt patch of the corresponding black hole solution at
non-zero temperature and find that, in the presence of violations of
hyperscaling, there is a parametric enhancement of the action growth rate. We
partially match this behavior to simple tensor network models which can capture
aspects of hyperscaling violation. We also exhibit the switchback effect in
complexity growth using shockwave geometries and comment on a subtlety of our
action calculations when the metric is discontinuous at a null surface.
| [
{
"created": "Thu, 28 Dec 2017 11:12:17 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2018 19:28:39 GMT",
"version": "v2"
}
] | 2018-10-17 | [
[
"Swingle",
"Brian",
""
],
[
"Wang",
"Yixu",
""
]
] | We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed "complexity = volume" and "complexity = action" dualities. The model we consider has a ground state that is represented in the bulk via a so-called hyperscaling violating geometry. We calculate the action growth of the Wheeler-DeWitt patch of the corresponding black hole solution at non-zero temperature and find that, in the presence of violations of hyperscaling, there is a parametric enhancement of the action growth rate. We partially match this behavior to simple tensor network models which can capture aspects of hyperscaling violation. We also exhibit the switchback effect in complexity growth using shockwave geometries and comment on a subtlety of our action calculations when the metric is discontinuous at a null surface. |
2308.15113 | Vladimir Mangazeev | Vladimir V. Mangazeev, Bryte Hagan, Vladimir V. Bazhanov | Corner Transfer Matrix Approach to the Yang-Lee Singularity in the 2D
Ising Model in a magnetic field | 16 pages, 2 figures | Physical Review E 108, 064136 (2023) | 10.1103/PhysRevE.108.064136 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study the 2D Ising model in a complex magnetic field in the vicinity of
the Yang-Lee edge singularity. By using Baxter's variational corner transfer
matrix method combined with analytic techniques, we numerically calculate the
scaling function and obtain an accurate estimate of the location of the
Yang-Lee singularity. The existing series expansions for susceptibility of the
2D Ising model on a triangular lattice by Chan, Guttmann, Nickel and Perk
allowed us to substantially enhance the accuracy of our calculations. Our
results are in excellent agreement with the Ising field theory calculations by
Fonseca, Zamolodchikov and the recent work by Xu and Zamolodchikov. In
particular, we numerically confirm an agreement between the leading singular
behavior of the scaling function and the predictions of the ${\mathcal
M}_{2/5}$ conformal field theory.
| [
{
"created": "Tue, 29 Aug 2023 08:26:39 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jan 2024 02:36:44 GMT",
"version": "v2"
}
] | 2024-01-03 | [
[
"Mangazeev",
"Vladimir V.",
""
],
[
"Hagan",
"Bryte",
""
],
[
"Bazhanov",
"Vladimir V.",
""
]
] | We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling function and obtain an accurate estimate of the location of the Yang-Lee singularity. The existing series expansions for susceptibility of the 2D Ising model on a triangular lattice by Chan, Guttmann, Nickel and Perk allowed us to substantially enhance the accuracy of our calculations. Our results are in excellent agreement with the Ising field theory calculations by Fonseca, Zamolodchikov and the recent work by Xu and Zamolodchikov. In particular, we numerically confirm an agreement between the leading singular behavior of the scaling function and the predictions of the ${\mathcal M}_{2/5}$ conformal field theory. |
1209.5034 | Anton Galajinsky | Anton Galajinsky | Near horizon black holes in diverse dimensions and integrable models | V2: 17 pages, minor modifications | null | 10.1103/PhysRevD.87.024023 | LMP-TPU-11/12 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The near horizon geometry of extremal rotating black hole in arbitrary
dimension possesses SO(2,1)xU(n) symmetry in the special case that all n
rotation parameters are equal. We consider a conformal particle associated with
such a maximally symmetric configuration and derive from it a new integrable
Hamiltonian mechanics with U(n) symmetry. A further reduction of the model is
discussed, which is obtained by discarding cyclic variables. A variant of the
Higgs oscillator and the Poschl-Teller system show up in four and five
dimensions, respectively.
| [
{
"created": "Sun, 23 Sep 2012 06:20:46 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2012 09:03:29 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Galajinsky",
"Anton",
""
]
] | The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally symmetric configuration and derive from it a new integrable Hamiltonian mechanics with U(n) symmetry. A further reduction of the model is discussed, which is obtained by discarding cyclic variables. A variant of the Higgs oscillator and the Poschl-Teller system show up in four and five dimensions, respectively. |
2204.06342 | Jean-Fran\c{c}ois Vaduret | Jean-Fran\c{c}ois Vaduret | On the holographic domain-wall/cosmology correspondence and scalar
one-point functions | 18 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the construction of holography for cosmologies with an emphasis on
asymptotically de Sitter cosmologies. We do this by composition of the AdS/CFT
correspondence and domain-wall/cosmology (DW/C) correspondence with the novel
added benefit of keeping track of the DW/C marker $\eta$. This allows us to
build explicitly the holographic dual of the DW/C correspondence. We then test
this framework on a toy model: the GPPZ flow. We find the scalar one-point
function for this flow to be invariant under the domain-wall/cosmology
correspondence. Moreover, our construction seems to agree with previous
literature on holography for cosmologies.
| [
{
"created": "Wed, 13 Apr 2022 12:47:28 GMT",
"version": "v1"
}
] | 2022-04-14 | [
[
"Vaduret",
"Jean-François",
""
]
] | We review the construction of holography for cosmologies with an emphasis on asymptotically de Sitter cosmologies. We do this by composition of the AdS/CFT correspondence and domain-wall/cosmology (DW/C) correspondence with the novel added benefit of keeping track of the DW/C marker $\eta$. This allows us to build explicitly the holographic dual of the DW/C correspondence. We then test this framework on a toy model: the GPPZ flow. We find the scalar one-point function for this flow to be invariant under the domain-wall/cosmology correspondence. Moreover, our construction seems to agree with previous literature on holography for cosmologies. |
1610.05677 | Stijn van Tongeren | Stijn J. van Tongeren | Almost abelian twists and AdS/CFT | v4, 9 pages letter format, no figures, minor typos corrected,
otherwise matches published version | Phys.Lett. B765 (2017) 344-351 | 10.1016/j.physletb.2016.12.002 | HU-EP-16/35, HU-MATH-16/19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A large class of the recently found unimodular nonabelian homogeneous
Yang-Baxter deformations of the AdS_5 x S^5 superstring can be realized as
sequences of noncommuting TsT transformations. I show that many of them are
duals to various noncommutative versions of supersymmetric Yang-Mills theory,
structurally determined directly in terms of the associated r matrices, in line
with previous expectations in the literature.
| [
{
"created": "Tue, 18 Oct 2016 15:41:39 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2016 18:23:00 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Dec 2016 14:17:06 GMT",
"version": "v3"
},
{
"created": "Sat, 3 Jun 2017 12:05:23 GMT",
"version": "v4"
}
] | 2017-06-06 | [
[
"van Tongeren",
"Stijn J.",
""
]
] | A large class of the recently found unimodular nonabelian homogeneous Yang-Baxter deformations of the AdS_5 x S^5 superstring can be realized as sequences of noncommuting TsT transformations. I show that many of them are duals to various noncommutative versions of supersymmetric Yang-Mills theory, structurally determined directly in terms of the associated r matrices, in line with previous expectations in the literature. |
hep-th/0512014 | Eduardo Rodr\'iguez | Fernando Izaurieta, Eduardo Rodr\'iguez, Patricio Salgado | On Transgression Forms and Chern--Simons (Super)gravity | 18 pages, 1 figure. v2: two new appendices; v3: references added; v4:
some improvement on the text, minor cosmetic changes | null | null | LMU-ASC 77/05 | hep-th | null | A transgression form is proposed as lagrangian for a gauge field theory. The
construction is first carried out for an arbitrary Lie Algebra g and then
specialized to some particular cases. We exhibit the action, discuss its
symmetries, write down the equations of motion and the boundary conditions that
follow from it, and finally compute conserved charges. We also present a
method, based on the iterative use of the Extended Cartan Homotopy Formula,
which allows one to (i) systematically split the lagrangian in order to
appropriately reflect the subspaces structure of the gauge algebra, and (ii)
separate the lagrangian in bulk and boundary contributions. Chern--Simons
Gravity and Supergravity are then used as examples to illustrate the method. In
the end we discuss some further theoretical implications that arise naturally
from the mathematical structure being considered.
| [
{
"created": "Thu, 1 Dec 2005 16:25:51 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2005 10:48:34 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jan 2006 13:36:45 GMT",
"version": "v3"
},
{
"created": "Wed, 8 Mar 2006 14:15:46 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Izaurieta",
"Fernando",
""
],
[
"Rodríguez",
"Eduardo",
""
],
[
"Salgado",
"Patricio",
""
]
] | A transgression form is proposed as lagrangian for a gauge field theory. The construction is first carried out for an arbitrary Lie Algebra g and then specialized to some particular cases. We exhibit the action, discuss its symmetries, write down the equations of motion and the boundary conditions that follow from it, and finally compute conserved charges. We also present a method, based on the iterative use of the Extended Cartan Homotopy Formula, which allows one to (i) systematically split the lagrangian in order to appropriately reflect the subspaces structure of the gauge algebra, and (ii) separate the lagrangian in bulk and boundary contributions. Chern--Simons Gravity and Supergravity are then used as examples to illustrate the method. In the end we discuss some further theoretical implications that arise naturally from the mathematical structure being considered. |
1805.08552 | Xavier Calmet | Xavier Calmet and Boris Latosh | Dark Matter in Quantum Gravity | null | null | 10.1140/epjc/s10052-018-6005-8 | MITP/18-021 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that quantum gravity, whatever its ultra-violet completion might be,
could account for dark matter. Indeed, besides the massless gravitational field
recently observed in the form of gravitational waves, the spectrum of quantum
gravity contains two massive fields respectively of spin 2 and spin 0. If these
fields are long-lived, they could easily account for dark matter. In that case,
dark matter would be very light and only gravitationally coupled to the
standard model particles.
| [
{
"created": "Tue, 22 May 2018 12:47:12 GMT",
"version": "v1"
}
] | 2018-08-01 | [
[
"Calmet",
"Xavier",
""
],
[
"Latosh",
"Boris",
""
]
] | We show that quantum gravity, whatever its ultra-violet completion might be, could account for dark matter. Indeed, besides the massless gravitational field recently observed in the form of gravitational waves, the spectrum of quantum gravity contains two massive fields respectively of spin 2 and spin 0. If these fields are long-lived, they could easily account for dark matter. In that case, dark matter would be very light and only gravitationally coupled to the standard model particles. |
1103.4830 | E. Aldo Arroyo | E. Aldo Arroyo | Conservation laws and tachyon potentials in the sliver frame | 26 pages, some typos fixed, comments added, references added | JHEP 1106:033,2011 | 10.1007/JHEP06(2011)033 | IF-USP 2011 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conservation laws have provided an elegant and efficient tool to evaluate the
open string field theory interaction vertex, they have been originally
implemented in the case where the string field is expanded in the Virasoro
basis. In this work we derive conservation laws in the case where the string
field is expanded in the so-called sliver $\mathcal{L}_0$-basis. As an
application of these conservation laws derived in the sliver frame, we compute
the open string field action relevant to the tachyon condensation and in order
to present not only an illustration but also an additional information, we
evaluate the action without imposing a gauge choice.
| [
{
"created": "Thu, 24 Mar 2011 18:21:27 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2011 23:00:42 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jun 2011 01:14:25 GMT",
"version": "v3"
}
] | 2011-06-14 | [
[
"Arroyo",
"E. Aldo",
""
]
] | Conservation laws have provided an elegant and efficient tool to evaluate the open string field theory interaction vertex, they have been originally implemented in the case where the string field is expanded in the Virasoro basis. In this work we derive conservation laws in the case where the string field is expanded in the so-called sliver $\mathcal{L}_0$-basis. As an application of these conservation laws derived in the sliver frame, we compute the open string field action relevant to the tachyon condensation and in order to present not only an illustration but also an additional information, we evaluate the action without imposing a gauge choice. |
2301.09064 | H. L. Dao | H. L. Dao | New cosmological solutions from type II de-Sitter gaugings in 4D $N=4$
gauged supergravity | This is a follow-up work of arXiv:2102.06512 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, which is a follow-up of arXiv:2102.06512, we document new
cosmological solutions from four-dimensional $N=4$ matter-coupled supergravity.
The solutions smoothly interpolate between a $dS_2\times S^2$ spacetime at
$t\rightarrow -\infty$ and a $dS_4$ spacetime at $t\rightarrow +\infty$ and
arise from the second-order equations of motion. Unlike the previously reported
solutions in arXiv:2102.06512 that involve the diagonal $U(1)$ subgroup of both
the electric and magnetic factors in the gauging, these solutions only require
a single $U(1)$ factor from either the electric or magnetic part. Two
additional features of these solutions that distinguish them from the
previously presented solutions are the nonvanishing value of the dilaton $\phi$
and the fact that they are only admitted by the type II de-Sitter gauged
theories.
| [
{
"created": "Sun, 22 Jan 2023 06:25:23 GMT",
"version": "v1"
}
] | 2023-01-24 | [
[
"Dao",
"H. L.",
""
]
] | In this work, which is a follow-up of arXiv:2102.06512, we document new cosmological solutions from four-dimensional $N=4$ matter-coupled supergravity. The solutions smoothly interpolate between a $dS_2\times S^2$ spacetime at $t\rightarrow -\infty$ and a $dS_4$ spacetime at $t\rightarrow +\infty$ and arise from the second-order equations of motion. Unlike the previously reported solutions in arXiv:2102.06512 that involve the diagonal $U(1)$ subgroup of both the electric and magnetic factors in the gauging, these solutions only require a single $U(1)$ factor from either the electric or magnetic part. Two additional features of these solutions that distinguish them from the previously presented solutions are the nonvanishing value of the dilaton $\phi$ and the fact that they are only admitted by the type II de-Sitter gauged theories. |
hep-th/0601223 | Sangmin Lee | Sangmin Lee, Soo-Jong Rey | Comments on Anomalies and Charges of Toric-Quiver Duals | 22 pages, 3 figures | JHEP0603:068,2006 | 10.1088/1126-6708/2006/03/068 | SNUST 0601-01 | hep-th | null | We obtain a simple expression for the triangle `t Hooft anomalies in quiver
gauge theories that are dual to toric Sasaki-Einstein manifolds. We utilize the
result and simplify considerably the proof concerning the equivalence of
a-maximization and Z-minimization. We also resolve the ambiguity in defining
the flavor charges in quiver gauge theories. We then compare coefficients of
the triangle anomalies with coefficients of the current-current correlators and
find perfect agreement.
| [
{
"created": "Mon, 30 Jan 2006 17:02:43 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Lee",
"Sangmin",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We obtain a simple expression for the triangle `t Hooft anomalies in quiver gauge theories that are dual to toric Sasaki-Einstein manifolds. We utilize the result and simplify considerably the proof concerning the equivalence of a-maximization and Z-minimization. We also resolve the ambiguity in defining the flavor charges in quiver gauge theories. We then compare coefficients of the triangle anomalies with coefficients of the current-current correlators and find perfect agreement. |
hep-th/9910114 | Sergey Paston | S. A. Paston, E. V. Prokhvatilov, V. A. Franke | QED_2 Light-Front Hamiltonian reproducing all orders of covariant chiral
perturbation theory | LaTex, 15 pages, 3 figures | null | null | SPbU-IP-99-13 | hep-th | null | Light-Front (LF) Hamiltonian for QED in (1+1)-dimensions is constructed using
the boson form of this model with additional Pauli-Villars type ultraviolet
regularization. Perturbation theory, generated by this LF Hamiltonian, is
proved to be equivalent to usual covariant chiral perturbation theory. The
obtained LF Hamiltonian depends explicitly on chiral condensate parameters
which enter in a form of some coupling constants.
| [
{
"created": "Fri, 15 Oct 1999 15:44:29 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Oct 1999 01:31:27 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Oct 1999 20:40:26 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Nov 1999 11:28:33 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Paston",
"S. A.",
""
],
[
"Prokhvatilov",
"E. V.",
""
],
[
"Franke",
"V. A.",
""
]
] | Light-Front (LF) Hamiltonian for QED in (1+1)-dimensions is constructed using the boson form of this model with additional Pauli-Villars type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some coupling constants. |
2005.00016 | Upamanyu Moitra | Upamanyu Moitra, Sunil Kumar Sake, Sandip P. Trivedi | Near-Extremal Fluid Mechanics | 85 pages, 4 appendices. v2: A few corrections, additional comments,
one new appendix and additional references v3: Version published in JHEP | JHEP 02 (2021) 021 | 10.1007/JHEP02(2021)021 | TIFR/TH/20-12 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse near-extremal black brane configurations in asymptotically
$\mathrm{AdS}_4$ spacetime with the temperature $T$, chemical potential $\mu$,
and three-velocity $u^\nu$, varying slowly. We consider a low-temperature limit
where the rate of variation is much slower than $\mu$, but much bigger than
$T$. This limit is different from the one considered for conventional
fluid-mechanics in which the rate of variation is much smaller than both $T$,
$\mu$. We find that in our limit, as well, the Einstein-Maxwell equations can
be solved in a systematic perturbative expansion. At first order, in the rate
of variation, the resulting constitutive relations for the stress tensor and
charge current are local in the boundary theory and can be easily calculated.
At higher orders, we show that these relations become non-local in time but the
perturbative expansion is still valid. We find that there are four linearised
modes in this limit; these are similar to the hydrodynamic modes found in
conventional fluid mechanics with the same dispersion relations. We also study
some linearised time independent perturbations exhibiting attractor behaviour
at the horizon - these arise in the presence of external driving forces in the
boundary theory.
| [
{
"created": "Thu, 30 Apr 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2020 17:57:24 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Feb 2021 16:21:02 GMT",
"version": "v3"
}
] | 2021-02-26 | [
[
"Moitra",
"Upamanyu",
""
],
[
"Sake",
"Sunil Kumar",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We analyse near-extremal black brane configurations in asymptotically $\mathrm{AdS}_4$ spacetime with the temperature $T$, chemical potential $\mu$, and three-velocity $u^\nu$, varying slowly. We consider a low-temperature limit where the rate of variation is much slower than $\mu$, but much bigger than $T$. This limit is different from the one considered for conventional fluid-mechanics in which the rate of variation is much smaller than both $T$, $\mu$. We find that in our limit, as well, the Einstein-Maxwell equations can be solved in a systematic perturbative expansion. At first order, in the rate of variation, the resulting constitutive relations for the stress tensor and charge current are local in the boundary theory and can be easily calculated. At higher orders, we show that these relations become non-local in time but the perturbative expansion is still valid. We find that there are four linearised modes in this limit; these are similar to the hydrodynamic modes found in conventional fluid mechanics with the same dispersion relations. We also study some linearised time independent perturbations exhibiting attractor behaviour at the horizon - these arise in the presence of external driving forces in the boundary theory. |
hep-th/9709212 | Martin Stock | R. Jackiw | What is quantum field theory and why have some physicists abandoned it? | Email correspondence to jackiw@mitlns.mit.edu ; 4 pages, LaTeX | null | 10.1073/pnas.95.22.12776 | MIT-CTP-2671 | hep-th hep-ph physics.hist-ph quant-ph | null | The present-day crisis in quantum field theory is described.
| [
{
"created": "Mon, 29 Sep 1997 20:50:54 GMT",
"version": "v1"
}
] | 2022-06-08 | [
[
"Jackiw",
"R.",
""
]
] | The present-day crisis in quantum field theory is described. |
2305.15965 | Meng-Chwan Tan | Zhi-Cong Ong, Meng-Chwan Tan | Topological-Holomorphic ${\mathcal N} =4$ Gauge Theory: From Langlands
Duality of Holomorphic Invariants to Mirror Symmetry of Quasi-topological
Strings | 30 pp. Further clarifications | null | null | null | hep-th math.AG math.DG math.QA math.RT | http://creativecommons.org/licenses/by/4.0/ | We perform a topological-holomorphic twist of $\mathcal{N}=4$ supersymmetric
gauge theory on a four-manifold of the form $M_4=\Sigma_1 \times \Sigma_2$ with
Riemann surfaces $\Sigma_{1,2}$, and unravel the mathematical implications of
its physics. In particular, we consider different linear combinations of the
resulting scalar supercharges under $S$-duality, where this will allow us to
derive novel topological and holomorphic invariants of $M_4$ and their
Langlands duals. As the twisted theory can be topological along $\Sigma_1$
whence we can dimensionally reduce it to 2d, via the effective sigma-model on
$\Sigma_2$, we can also relate these 4d invariants and their Langlands duals to
the mirror symmetry of Higgs bundles and that of quasi-topological strings
described by the sheaf of chiral differential operators. As an offshoot, we
would be able to obtain a fundamental understanding from 4d gauge theory, why
chiral differential operators are purely perturbative objects.
| [
{
"created": "Thu, 25 May 2023 12:05:54 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2024 13:39:28 GMT",
"version": "v2"
}
] | 2024-05-31 | [
[
"Ong",
"Zhi-Cong",
""
],
[
"Tan",
"Meng-Chwan",
""
]
] | We perform a topological-holomorphic twist of $\mathcal{N}=4$ supersymmetric gauge theory on a four-manifold of the form $M_4=\Sigma_1 \times \Sigma_2$ with Riemann surfaces $\Sigma_{1,2}$, and unravel the mathematical implications of its physics. In particular, we consider different linear combinations of the resulting scalar supercharges under $S$-duality, where this will allow us to derive novel topological and holomorphic invariants of $M_4$ and their Langlands duals. As the twisted theory can be topological along $\Sigma_1$ whence we can dimensionally reduce it to 2d, via the effective sigma-model on $\Sigma_2$, we can also relate these 4d invariants and their Langlands duals to the mirror symmetry of Higgs bundles and that of quasi-topological strings described by the sheaf of chiral differential operators. As an offshoot, we would be able to obtain a fundamental understanding from 4d gauge theory, why chiral differential operators are purely perturbative objects. |
2009.06525 | Frans Klinkhamer | F.R. Klinkhamer | IIB matrix model and regularized big bang | 14 pages, v6: published version (expanded references in the preprint) | Prog Theor Exp Phys (2021) | 10.1093/ptep/ptab059 | KA-TP-14-2020 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The large-$N$ master field of the Lorentzian IIB matrix model can, in
principle, give rise to a particular degenerate metric relevant to a
regularized big bang. The length parameter of this degenerate metric is then
calculated in terms of the IIB-matrix-model length scale.
| [
{
"created": "Mon, 14 Sep 2020 15:40:20 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2020 15:32:58 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Nov 2020 18:28:38 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Mar 2021 12:48:49 GMT",
"version": "v4"
},
{
"created": "Thu, 6 May 2021 15:14:14 GMT",
"version": "v5"
},
{
"created": "Wed, 30 Jun 2021 09:55:25 GMT",
"version": "v6"
}
] | 2021-07-07 | [
[
"Klinkhamer",
"F. R.",
""
]
] | The large-$N$ master field of the Lorentzian IIB matrix model can, in principle, give rise to a particular degenerate metric relevant to a regularized big bang. The length parameter of this degenerate metric is then calculated in terms of the IIB-matrix-model length scale. |
1102.0129 | Prasanta Jena | B.B.Deo and P.K.Jena | The Standard Model and The Four Dimensional Superstring | 5 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the Nambu-Goto bosonic string, a four dimensional superstring
model is constructed using the equivalence of one boson to two Majorana-Weyl
fermions. The conditions of anomaly cancellation in a 'heterotic' string theory
lead to the correct result and is found to be consistent with the requirements
of the standard model.
| [
{
"created": "Tue, 1 Feb 2011 11:12:13 GMT",
"version": "v1"
}
] | 2011-02-02 | [
[
"Deo",
"B. B.",
""
],
[
"Jena",
"P. K.",
""
]
] | Starting from the Nambu-Goto bosonic string, a four dimensional superstring model is constructed using the equivalence of one boson to two Majorana-Weyl fermions. The conditions of anomaly cancellation in a 'heterotic' string theory lead to the correct result and is found to be consistent with the requirements of the standard model. |
1808.07060 | Patrick K. S. Vaudrevange | Hans Peter Nilles, Michael Ratz, Andreas Trautner, Patrick K.S.
Vaudrevange | $\mathcal{CP}$ Violation from String Theory | 7 pages, 4 figures | null | 10.1016/j.physletb.2018.09.053 | UCI-2018-07; TUM-HEP 1156/18 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a natural way to embed $\mathcal{CP}$ symmetry and its violation
in string theory. The $\mathcal{CP}$ symmetry of the low energy effective
theory is broken by the presence of heavy string modes. $\mathcal{CP}$
violation is the result of an interplay of $\mathcal{CP}$ and flavor symmetry.
$\mathcal{CP}$ violating decays of the heavy modes could originate a
cosmological matter-antimatter asymmetry.
| [
{
"created": "Tue, 21 Aug 2018 18:00:05 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Nilles",
"Hans Peter",
""
],
[
"Ratz",
"Michael",
""
],
[
"Trautner",
"Andreas",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] | We identify a natural way to embed $\mathcal{CP}$ symmetry and its violation in string theory. The $\mathcal{CP}$ symmetry of the low energy effective theory is broken by the presence of heavy string modes. $\mathcal{CP}$ violation is the result of an interplay of $\mathcal{CP}$ and flavor symmetry. $\mathcal{CP}$ violating decays of the heavy modes could originate a cosmological matter-antimatter asymmetry. |
2311.16244 | Timofei Rusalev | Dmitry S. Ageev, Irina Ya. Aref'eva and Timofei A. Rusalev | Black Holes, Cavities and Blinking Islands | 34 pages, 13 figures, comments are welcome | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Placing a black hole in a cavity is known to be a natural way to study
different scales in gravity, issues related to the thermodynamic instability
and gravity effective theories. In this paper, we consider the evolution of the
entanglement entropy and entanglement islands in the two-sided generalization
of the Schwarzschild black hole in a cavity. Introducing a reflecting boundary
in the eternal black exteriors we regulate infrared modes of Hawking radiation
and find that entanglement entropy saturates at some constant value. This value
could be lower than black hole thermodynamic entropy, thus not leading to Page
formulation of information paradox. Concerning the entanglement islands, we
find a universal effect induced by the boundary presence, which we call
``blinking island" -- for some time the entanglement island inevitably
disappears, thus leading to a short-time information paradox.
| [
{
"created": "Mon, 27 Nov 2023 19:00:22 GMT",
"version": "v1"
}
] | 2023-11-29 | [
[
"Ageev",
"Dmitry S.",
""
],
[
"Aref'eva",
"Irina Ya.",
""
],
[
"Rusalev",
"Timofei A.",
""
]
] | Placing a black hole in a cavity is known to be a natural way to study different scales in gravity, issues related to the thermodynamic instability and gravity effective theories. In this paper, we consider the evolution of the entanglement entropy and entanglement islands in the two-sided generalization of the Schwarzschild black hole in a cavity. Introducing a reflecting boundary in the eternal black exteriors we regulate infrared modes of Hawking radiation and find that entanglement entropy saturates at some constant value. This value could be lower than black hole thermodynamic entropy, thus not leading to Page formulation of information paradox. Concerning the entanglement islands, we find a universal effect induced by the boundary presence, which we call ``blinking island" -- for some time the entanglement island inevitably disappears, thus leading to a short-time information paradox. |
hep-th/0602133 | Peter Horvathy | P. A. Horvathy | Exotic galilean symmetry and non-commutative mechanics in mathematical &
in condensed matter physics | 14 pages. Talk given at the Int. Conf. on Noncommutative Geometry and
Quantum Physics. Kolkata, Jan. 2006. Order of authors in Ref. 11 corrected | null | null | null | hep-th cond-mat.mes-hall math-ph math.MP | null | The ``exotic'' particle model with non-commuting position coordinates,
associated with the two-parameter central extension of the planar Galilei
group, can be used to derive the ground states of the Fractional Quantum Hall
Effect. The relation to other NC models is discussed. Anomalous coupling is
presented. Similar equations arise for a semiclassical Bloch electron, used to
explain the anomalous/spin/optical Hall effects.
| [
{
"created": "Tue, 14 Feb 2006 09:13:45 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Mar 2006 15:31:55 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Horvathy",
"P. A.",
""
]
] | The ``exotic'' particle model with non-commuting position coordinates, associated with the two-parameter central extension of the planar Galilei group, can be used to derive the ground states of the Fractional Quantum Hall Effect. The relation to other NC models is discussed. Anomalous coupling is presented. Similar equations arise for a semiclassical Bloch electron, used to explain the anomalous/spin/optical Hall effects. |
1402.5260 | Roberto Fiore prof | Victor S. Fadin and Roberto Fiore | Impact factors for Reggeon-gluon transition in N = 4 SYM with large
number of colours | 13 pages | null | 10.1016/j.physletb.2014.05.020 | Budker INP 2014-2 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate impact factors for Reggeon-gluon transition in supersymmetric
Yang-Mills theory with four supercharges at large number of colours Nc. In the
next-to-leading order impact factors are not uniquely defined and must accord
with BFKL kernels and energy scales. We obtain the impact factor corresponding
to the kernel and the energy evolution parameter, which is invariant under
Moebius transformation in momentum space, and show that it is also Moebius
invariant up to terms taken into account in the BDS ansatz.
| [
{
"created": "Fri, 21 Feb 2014 11:42:27 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Fadin",
"Victor S.",
""
],
[
"Fiore",
"Roberto",
""
]
] | We calculate impact factors for Reggeon-gluon transition in supersymmetric Yang-Mills theory with four supercharges at large number of colours Nc. In the next-to-leading order impact factors are not uniquely defined and must accord with BFKL kernels and energy scales. We obtain the impact factor corresponding to the kernel and the energy evolution parameter, which is invariant under Moebius transformation in momentum space, and show that it is also Moebius invariant up to terms taken into account in the BDS ansatz. |
0904.0459 | Jock McOrist | Amit Giveon, David Kutasov, Jock McOrist, Andrew B. Royston | D-Terms and Supersymmetry Breaking from Branes | 27pp, 4 figures | Nucl.Phys.B822:106-126,2009 | 10.1016/j.nuclphysb.2009.07.005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Metastable supersymmetry breaking configurations of D-branes and NS5-branes
in string theory often owe their existence to classical gravitational
interactions between the branes. We show that in the effective theory of the
light fields, these interactions give rise to a non-canonical K\"ahler
potential and other D-terms. String theory provides a UV completion in which
these non-renormalizable terms can be computed. We use these observations to
clarify the relation between the phase structure of ISS-type models and their
brane realizations.
| [
{
"created": "Thu, 2 Apr 2009 20:18:03 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2009 20:45:48 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
],
[
"McOrist",
"Jock",
""
],
[
"Royston",
"Andrew B.",
""
]
] | Metastable supersymmetry breaking configurations of D-branes and NS5-branes in string theory often owe their existence to classical gravitational interactions between the branes. We show that in the effective theory of the light fields, these interactions give rise to a non-canonical K\"ahler potential and other D-terms. String theory provides a UV completion in which these non-renormalizable terms can be computed. We use these observations to clarify the relation between the phase structure of ISS-type models and their brane realizations. |
2403.17080 | Josh Cork | Josh Cork, Chris Halcrow | Quantization of skyrmions using instantons | 1+29 pages, 6 figures; energy states corrected and further comparison
to other nuclear models included; matches journal version | Phys. Rev. D 110, 016027 (2024) | 10.1103/PhysRevD.110.016027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a step-by-step method to construct skyrmions from instanton ADHM
data, including when the exact ADHM data is unknown. The configurations look
like clusters of smaller skyrmions, and can be used to build manifolds of
skyrmions with or without symmetries. Nuclei are described by quantum states on
these manifolds. We describe the construction and quantization procedure
generally, then apply the methods in detail to the 8-skyrmion which describes
the Beryllium-8 nucleus.
| [
{
"created": "Mon, 25 Mar 2024 18:11:47 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Aug 2024 10:35:36 GMT",
"version": "v2"
}
] | 2024-08-08 | [
[
"Cork",
"Josh",
""
],
[
"Halcrow",
"Chris",
""
]
] | We provide a step-by-step method to construct skyrmions from instanton ADHM data, including when the exact ADHM data is unknown. The configurations look like clusters of smaller skyrmions, and can be used to build manifolds of skyrmions with or without symmetries. Nuclei are described by quantum states on these manifolds. We describe the construction and quantization procedure generally, then apply the methods in detail to the 8-skyrmion which describes the Beryllium-8 nucleus. |
1011.5009 | El Hassan Saidi | El Hassan Saidi | On Black Attractors in 8D and Heterotic/Type IIA Duality | LaTex, 18 pages, 2 figures, To appear in JHEP | JHEP 1101:129,2011 | 10.1007/JHEP01(2011)129 | CPM-10-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the study of black attractors in 8D supergravity with 16
supersymmetries, we use the field theory approach and 8D supersymmetry with non
trivial central charges to shed light on the exact duality between heterotic
string on T^2 and type IIA on real connected and compact surfaces {\Sigma}2. We
investigate the two constraints that should be obeyed by {\Sigma}2 and give
their solutions in terms of intersecting 2-cycles as well their classification
using Dynkin diagrams of affine Kac-Moody algebras. It is shown as well that
the moduli space of these dual theories is given by
SO(1,1)x((SO(2,r+2))/(SO(2)xSO(r+2))) where r stands for the rank of the gauge
symmetry G_{r} of the 10D heterotic string on T^2. The remarkable cases
r=-2,-1,0 as well as other features are also investigated.
| [
{
"created": "Tue, 23 Nov 2010 06:41:31 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2011 09:44:19 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Saidi",
"El Hassan",
""
]
] | Motivated by the study of black attractors in 8D supergravity with 16 supersymmetries, we use the field theory approach and 8D supersymmetry with non trivial central charges to shed light on the exact duality between heterotic string on T^2 and type IIA on real connected and compact surfaces {\Sigma}2. We investigate the two constraints that should be obeyed by {\Sigma}2 and give their solutions in terms of intersecting 2-cycles as well their classification using Dynkin diagrams of affine Kac-Moody algebras. It is shown as well that the moduli space of these dual theories is given by SO(1,1)x((SO(2,r+2))/(SO(2)xSO(r+2))) where r stands for the rank of the gauge symmetry G_{r} of the 10D heterotic string on T^2. The remarkable cases r=-2,-1,0 as well as other features are also investigated. |
0907.3862 | Martin Wolf | Martin Wolf | A Connection between Twistors and Superstring Sigma Models on Coset
Superspaces | v3: 16 pages, typos fixed and minor clarifications added | JHEP 0909:071,2009 | 10.1088/1126-6708/2009/09/071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider superstring sigma models that are based on coset superspaces G/H
in which H arises as the fixed point set of an order-4 automorphism of G. We
show by means of twistor theory that the corresponding first-order system,
consisting of the Maurer-Cartan equations and the equations of motion, arises
from a dimensional reduction of some generalised self-dual Yang-Mills equations
in eight dimensions. Such a relationship might help shed light on the explicit
construction of solutions to the superstring equations including their hidden
symmetry structures and thus on the properties of their gauge theory duals.
| [
{
"created": "Wed, 22 Jul 2009 15:27:26 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2009 16:58:27 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Feb 2010 14:08:18 GMT",
"version": "v3"
}
] | 2010-02-17 | [
[
"Wolf",
"Martin",
""
]
] | We consider superstring sigma models that are based on coset superspaces G/H in which H arises as the fixed point set of an order-4 automorphism of G. We show by means of twistor theory that the corresponding first-order system, consisting of the Maurer-Cartan equations and the equations of motion, arises from a dimensional reduction of some generalised self-dual Yang-Mills equations in eight dimensions. Such a relationship might help shed light on the explicit construction of solutions to the superstring equations including their hidden symmetry structures and thus on the properties of their gauge theory duals. |
1106.3526 | Daniel Ricci Pacifici | F.Fucito, J. F. Morales, D. Ricci Pacifici | Multi instanton tests of holography | 18 pages | null | 10.1007/JHEP09(2011)120 | ROM2F/2011/06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge theories living on stacks of D7-branes are holographically related to
IIB gravitational backgrounds with a varying axion-dilaton field (F-theory).
The axion-dilaton field is generated by D7, O7 and D-instanton sources and can
be written in terms of the chiral correlators of the eight dimensional gauge
theory living on the D7-branes. Using localization techniques, we prove that
the same correlators determine the gauge coupling of the four-dimensional N=2
supersymmetric SU(2) gauge theories living on the elementary D3-brane which
probes the F-theory geometries.
| [
{
"created": "Fri, 17 Jun 2011 16:19:44 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Fucito",
"F.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Pacifici",
"D. Ricci",
""
]
] | Gauge theories living on stacks of D7-branes are holographically related to IIB gravitational backgrounds with a varying axion-dilaton field (F-theory). The axion-dilaton field is generated by D7, O7 and D-instanton sources and can be written in terms of the chiral correlators of the eight dimensional gauge theory living on the D7-branes. Using localization techniques, we prove that the same correlators determine the gauge coupling of the four-dimensional N=2 supersymmetric SU(2) gauge theories living on the elementary D3-brane which probes the F-theory geometries. |
1406.4721 | Elcio Abdalla | Kai Lin, Elcio Abdalla and Anzhong Wang | Holographic Superconductors in Horava-Lifshitz Gravity | 5 pages, 8 figures | null | 10.1142/S0218271815500388 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider holographic superconductors related to the Schwarzschild black
hole in the low energy limit of Ho\v{r}ava-Lifshitz spacetime. The
non-relativistic electromagnetic and scalar fields are introduced to construct
a holographic superconductor model in Ho\v{r}ava-Lifshitz gravity and the
results show that the $\alpha_2$ term plays an important role, modifying the
conductivity curve line by means of an attenuation the conductivity.
| [
{
"created": "Wed, 18 Jun 2014 14:13:12 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Lin",
"Kai",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Wang",
"Anzhong",
""
]
] | We consider holographic superconductors related to the Schwarzschild black hole in the low energy limit of Ho\v{r}ava-Lifshitz spacetime. The non-relativistic electromagnetic and scalar fields are introduced to construct a holographic superconductor model in Ho\v{r}ava-Lifshitz gravity and the results show that the $\alpha_2$ term plays an important role, modifying the conductivity curve line by means of an attenuation the conductivity. |
hep-th/0410068 | Alexandre Gadelha | M. C. B Abdalla, A. L. Gadelha and Daniel L. Nedel | Closed String Thermal Torus From Thermo Field Dynamics | 14 pages, revtex4, changes in the text and references. Version to be
published in Physics Letters B | Phys.Lett.B613:213-220,2005 | 10.1016/j.j.physletb.2005.03.048 | null | hep-th | null | In this Letter a topological interpretation for the string thermal vacuum in
the Thermo Field Dynamics (TFD) approach is given. As a consequence, the
relationship between the Imaginary Time and TFD formalisms is achieved when
both are used to study closed strings at finite temperature. The TFD approach
starts by duplicating the system's degrees of freedom, defining an auxiliary
(tilde) string. In order to lead the system to finite temperature a Bogoliubov
transformation is implemented. We show that the effect of this transformation
is to glue together the string and the tilde string to obtain a torus. The
thermal vacuum appears as the boundary state for this identification. Also,
from the thermal state condition, a Kubo-Martin-Schwinger condition for the
torus topology is derived.
| [
{
"created": "Wed, 6 Oct 2004 21:34:50 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 16:06:42 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Abdalla",
"M. C. B",
""
],
[
"Gadelha",
"A. L.",
""
],
[
"Nedel",
"Daniel L.",
""
]
] | In this Letter a topological interpretation for the string thermal vacuum in the Thermo Field Dynamics (TFD) approach is given. As a consequence, the relationship between the Imaginary Time and TFD formalisms is achieved when both are used to study closed strings at finite temperature. The TFD approach starts by duplicating the system's degrees of freedom, defining an auxiliary (tilde) string. In order to lead the system to finite temperature a Bogoliubov transformation is implemented. We show that the effect of this transformation is to glue together the string and the tilde string to obtain a torus. The thermal vacuum appears as the boundary state for this identification. Also, from the thermal state condition, a Kubo-Martin-Schwinger condition for the torus topology is derived. |
hep-th/9906019 | HGirotti | M. Fleck and H. O. Girotti (Instituto de F\'isica - UFRGS) | BFT Embedding of Second-Class Systems | 20 pages, latex, no figures. To be published in International Journal
of Modern Physics A | Int.J.Mod.Phys.A14:4287-4312,1999 | 10.1142/S0217751X99002025 | null | hep-th | null | The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to
convert a second-class system into first-class, is pushed beyond the formal
level. We explicitly construct, in all cases, the variables of the converted
first-class theory in terms of those of the corresponding second-class one.
Moreover, we only conclude about the equivalence between these two different
kind of theories after compairing their respective spectra of excitations.
| [
{
"created": "Wed, 2 Jun 1999 19:37:49 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Fleck",
"M.",
"",
"Instituto de Física - UFRGS"
],
[
"Girotti",
"H. O.",
"",
"Instituto de Física - UFRGS"
]
] | The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to convert a second-class system into first-class, is pushed beyond the formal level. We explicitly construct, in all cases, the variables of the converted first-class theory in terms of those of the corresponding second-class one. Moreover, we only conclude about the equivalence between these two different kind of theories after compairing their respective spectra of excitations. |
1110.5497 | Betti Hartmann | Alexandru Babeanu and Betti Hartmann | Stability of superconducting strings coupled to cosmic strings | 18 pages including 17 figures: v2: figures changed | null | 10.1103/PhysRevD.85.023518 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stability of superconducting strings in a U(1)_{local} x
U(1)_{global} model coupled via a gauge field interaction term to U(1)
Abelian-Higgs strings. The effect of the interaction on current stability is
numerically investigated by varying the relevant parameters within the physical
limits of our model. We find that the propagation speed of transverse (resp.
longitudinal) perturbations increases (decreases) with increasing binding
between the superconducting and Abelian-Higgs string. Moreover, we observe that
for small enough width of the flux tube of the superconducting string and/or
large enough interaction between the superconducting and the Abelian-Higgs
string superconducting strings cannot carry space-like, i.e. magnetic currents.
Our model can be seen as a field theoretical realization of bound states of p
F-strings and q superconducting D-strings and has important implications to
vorton formation during the evolution of networks of such strings.
| [
{
"created": "Tue, 25 Oct 2011 13:33:56 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 15:45:31 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Babeanu",
"Alexandru",
""
],
[
"Hartmann",
"Betti",
""
]
] | We study the stability of superconducting strings in a U(1)_{local} x U(1)_{global} model coupled via a gauge field interaction term to U(1) Abelian-Higgs strings. The effect of the interaction on current stability is numerically investigated by varying the relevant parameters within the physical limits of our model. We find that the propagation speed of transverse (resp. longitudinal) perturbations increases (decreases) with increasing binding between the superconducting and Abelian-Higgs string. Moreover, we observe that for small enough width of the flux tube of the superconducting string and/or large enough interaction between the superconducting and the Abelian-Higgs string superconducting strings cannot carry space-like, i.e. magnetic currents. Our model can be seen as a field theoretical realization of bound states of p F-strings and q superconducting D-strings and has important implications to vorton formation during the evolution of networks of such strings. |
0809.1756 | Shesansu Pal | Shesansu Pal | More gravity solutions of AdS/CMT | 1+8 pp,v2 Solutions in arbitrary space time dimension added, v3 typos
fixed and now appears in a compact form, v4 temporal scale invariance, b=0,
added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have generalized the gravity solutions presented in arXiv:0808.1725 and
arXiv:0808.3232 to arbitrary but even space time dimensions with the scaling
symmetry $r \to \f{r}{\lambda}, x_i \to \lambda^b x_i, t \to \lambda^a t$.
However, for $b=0$, we have the solution in arbitrary space time dimension, not
restricted to even dimensional. The physical meaning of this particular choice
of $b$ is that we can have a solution with only temporal scale invariance. From
the dual field theory point of view, the BF bound and the unitarity bound for
operators dual to scalar field is discussed.
| [
{
"created": "Wed, 10 Sep 2008 10:30:44 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2008 08:52:51 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Oct 2008 10:20:08 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Oct 2008 09:34:36 GMT",
"version": "v4"
}
] | 2008-10-24 | [
[
"Pal",
"Shesansu",
""
]
] | We have generalized the gravity solutions presented in arXiv:0808.1725 and arXiv:0808.3232 to arbitrary but even space time dimensions with the scaling symmetry $r \to \f{r}{\lambda}, x_i \to \lambda^b x_i, t \to \lambda^a t$. However, for $b=0$, we have the solution in arbitrary space time dimension, not restricted to even dimensional. The physical meaning of this particular choice of $b$ is that we can have a solution with only temporal scale invariance. From the dual field theory point of view, the BF bound and the unitarity bound for operators dual to scalar field is discussed. |
hep-th/9803239 | Bernard Julia | C.M. Hull (Queen Mary College London) and B. Julia (ENS Paris) | Duality and Moduli Spaces for Time-Like Reductions | 16 pages, harvmac | Nucl.Phys. B534 (1998) 250-260 | 10.1016/S0550-3213(98)00519-7 | QMW-PH-98-15, LPTENS 98/09 | hep-th gr-qc | null | We consider the dimensional reduction/compactification of supergravity,
string and M-theories on tori with one time-like circle. We find the coset
spaces in which the massless scalars take their values, and identify the
discrete duality groups.
| [
{
"created": "Sat, 28 Mar 1998 15:34:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hull",
"C. M.",
"",
"Queen Mary College London"
],
[
"Julia",
"B.",
"",
"ENS Paris"
]
] | We consider the dimensional reduction/compactification of supergravity, string and M-theories on tori with one time-like circle. We find the coset spaces in which the massless scalars take their values, and identify the discrete duality groups. |
hep-th/0602233 | Joseph Conlon | Joseph P. Conlon (DAMTP, Cambridge) | The QCD Axion and Moduli Stabilisation | 36 pages; v2: extended discussion of cosmological bound on f_a,
references added, version accepted by journal; v3. factor of 2 corrected | JHEP 0605:078,2006 | 10.1088/1126-6708/2006/05/078 | DAMTP-2006-17 | hep-th hep-ph | null | We investigate the conditions for a QCD axion to coexist with stabilised
moduli in string compactifications. We show how the simplest approaches to
moduli stabilisation give unacceptably large masses to the axions. We observe
that solving the F-term equations is insufficient for realistic moduli
stabilisation and give a no-go theorem on supersymmetric moduli stabilisation
with unfixed axions applicable to all string compactifications and relevant to
much current work. We demonstrate how nonsupersymmetric moduli stabilisation
with unfixed axions can be realised. We finally outline how to stabilise the
moduli such that f_a is within the allowed window 10^9 GeV < f_a < 10^{12} GeV,
with f_a ~ \sqrt{M_{SUSY} M_P}.
| [
{
"created": "Wed, 22 Feb 2006 17:42:02 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2006 09:19:59 GMT",
"version": "v2"
},
{
"created": "Fri, 25 May 2007 15:55:08 GMT",
"version": "v3"
}
] | 2010-12-03 | [
[
"Conlon",
"Joseph P.",
"",
"DAMTP, Cambridge"
]
] | We investigate the conditions for a QCD axion to coexist with stabilised moduli in string compactifications. We show how the simplest approaches to moduli stabilisation give unacceptably large masses to the axions. We observe that solving the F-term equations is insufficient for realistic moduli stabilisation and give a no-go theorem on supersymmetric moduli stabilisation with unfixed axions applicable to all string compactifications and relevant to much current work. We demonstrate how nonsupersymmetric moduli stabilisation with unfixed axions can be realised. We finally outline how to stabilise the moduli such that f_a is within the allowed window 10^9 GeV < f_a < 10^{12} GeV, with f_a ~ \sqrt{M_{SUSY} M_P}. |
0904.4711 | Jorge Ananias Neto | Jorge Ananias Neto | The Gauge Unfixing Formalism and the Solutions of the Dirac Bracket
Commutators | revised version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a systematic procedure that solves the Dirac bracket commutators.
The method is based on the Gauge Unfixing formalism, a procedure that converts
second class systems into first class ones without the enlargement of the
original phase space variables. We verify that the gauge invariant variables
satisfy the Dirac bracket when we strongly impose the discarded second class
constraint. Thus, we can derive physical operators that satisfy the Dirac
commutators. In order to illustrate our procedure, three second class
constrained systems are considered. Firstly, the free particle on the two
dimensional sphere is treated. The second case considered is the noncommutative
free particle and the third is the doubly special relativity particle.
| [
{
"created": "Wed, 29 Apr 2009 21:52:49 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 2009 21:26:57 GMT",
"version": "v2"
}
] | 2009-09-05 | [
[
"Neto",
"Jorge Ananias",
""
]
] | We propose a systematic procedure that solves the Dirac bracket commutators. The method is based on the Gauge Unfixing formalism, a procedure that converts second class systems into first class ones without the enlargement of the original phase space variables. We verify that the gauge invariant variables satisfy the Dirac bracket when we strongly impose the discarded second class constraint. Thus, we can derive physical operators that satisfy the Dirac commutators. In order to illustrate our procedure, three second class constrained systems are considered. Firstly, the free particle on the two dimensional sphere is treated. The second case considered is the noncommutative free particle and the third is the doubly special relativity particle. |
1907.13503 | Yusuke Kimura | Yusuke Kimura | A note on transition in discrete gauge groups in F-theory | 25 pages. Added subsection and some clarifications | Int.J.Mod.Phys. A35 (2020) 2050144 | 10.1142/S0217751X20501444 | KEK-TH-2141 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We observe a new puzzling physical phenomenon in F-theory on the multisection
geometry, wherein a model without a gauge group transitions to another model
with a discrete $\mathbb{Z}_n$ gauge group via Higgsing. This phenomenon may
suggest an unknown aspect of F-theory compactification on multisection geometry
lacking a global section. A possible interpretation of this puzzling physical
phenomenon is proposed in this note. We also propose a possible interpretation
of another unnatural physical phenomenon observed for F-theory on four-section
geometry, wherein a discrete $\mathbb{Z}_2$ gauge group transitions to a
discrete $\mathbb{Z}_4$ gauge group via Higgsing as described in the previous
literature.
| [
{
"created": "Wed, 31 Jul 2019 13:48:36 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 2019 07:19:29 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Feb 2020 11:25:29 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Jul 2020 04:54:45 GMT",
"version": "v4"
}
] | 2020-09-03 | [
[
"Kimura",
"Yusuke",
""
]
] | We observe a new puzzling physical phenomenon in F-theory on the multisection geometry, wherein a model without a gauge group transitions to another model with a discrete $\mathbb{Z}_n$ gauge group via Higgsing. This phenomenon may suggest an unknown aspect of F-theory compactification on multisection geometry lacking a global section. A possible interpretation of this puzzling physical phenomenon is proposed in this note. We also propose a possible interpretation of another unnatural physical phenomenon observed for F-theory on four-section geometry, wherein a discrete $\mathbb{Z}_2$ gauge group transitions to a discrete $\mathbb{Z}_4$ gauge group via Higgsing as described in the previous literature. |
1110.6203 | Noppadol Mekareeya | Amihay Hanany and Noppadol Mekareeya | Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three
Dimensions | 68 pages and 33 figures. Version 2: Minor corrections and citations
added | null | 10.1007/JHEP01(2012)079 | MPP-2011-93; IMPERIAL/TP/11/AH/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study moduli spaces of a class of three dimensional N=4 gauge theories
which are in one-to-one correspondence with a certain set of ordered pairs of
integer partitions. It was found that these theories can be realised on brane
intervals in Type IIB string theory and can therefore be described using linear
quiver diagrams. Mirror symmetry was known to act on such a theory by
exchanging the partitions in the corresponding ordered pair, and hence the
quiver diagram of the mirror theory can be written down in a straightforward
way. The infrared Coulomb branch of each theory can be studied using moment map
equations for a hyperKahler quotient of the Higgs branch of the mirror theory.
We focus on three infinite subclasses of these singular hyperKahler spaces
which are complete intersections. The Hilbert series of these spaces are
computed in order to count generators and relations, and they turn out to be
related to the corresponding partitions of the theories. For each theory, we
explicitly discuss the generators of such a space and relations they satisfy in
detail. These relations are precisely the defining equations of the
corresponding complete intersection space.
| [
{
"created": "Thu, 27 Oct 2011 21:51:00 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2011 02:26:32 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] | We study moduli spaces of a class of three dimensional N=4 gauge theories which are in one-to-one correspondence with a certain set of ordered pairs of integer partitions. It was found that these theories can be realised on brane intervals in Type IIB string theory and can therefore be described using linear quiver diagrams. Mirror symmetry was known to act on such a theory by exchanging the partitions in the corresponding ordered pair, and hence the quiver diagram of the mirror theory can be written down in a straightforward way. The infrared Coulomb branch of each theory can be studied using moment map equations for a hyperKahler quotient of the Higgs branch of the mirror theory. We focus on three infinite subclasses of these singular hyperKahler spaces which are complete intersections. The Hilbert series of these spaces are computed in order to count generators and relations, and they turn out to be related to the corresponding partitions of the theories. For each theory, we explicitly discuss the generators of such a space and relations they satisfy in detail. These relations are precisely the defining equations of the corresponding complete intersection space. |
2001.11910 | Seung Hun Oh | Fabrizio Canfora, Alex Giacomini, Marcela Lagos, Seung Hun Oh, Aldo
Vera | Gravitating superconducting solitons in the (3+1)-dimensional Einstein
gauged non-linear sigma-model | 30 pages and 9 figures included. In the new version the title has
been slightly changed. The details on why the ansatz does work have been
included in the appendix. An extra section on the flat limit has been
included. Various clarifying comments on the existing literature have also
been inserted. Final version was accepted for publication on European
Physical Journal C | null | 10.1140/epjc/s10052-021-08854-x | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we construct the first analytic examples of (3+1)-dimensional
self-gravitating regular cosmic tube solutions which are superconducting, free
of curvature singularities and with non-trivial topological charge in the
Einstein-SU(2) non-linear sigma-model. These gravitating topological solitons
at a large distance from the axis look like a (boosted) cosmic string with an
angular defect given by the parameters of the theory, and near the axis, the
parameters of the solutions can be chosen so that the metric is singularity
free and without angular defect. The curvature is concentrated on a tube around
the axis. These solutions are similar to the Cohen-Kaplan global string but
regular everywhere, and the non-linear sigma-model regularizes the gravitating
global string in a similar way as a non-Abelian field regularizes the Dirac
monopole. Also, these solutions can be promoted to those of the fully coupled
Einstein-Maxwell non-linear sigma-model in which the non-linear sigma-model is
minimally coupled both to the U(1) gauge field and to General Relativity. The
analysis shows that these solutions behave as superconductors as they carry a
persistent current even when the U(1) field vanishes. Such persistent current
cannot be continuously deformed to zero as it is tied to the topological charge
of the solutions themselves. The peculiar features of the gravitational lensing
of these gravitating solitons are shortly discussed.
| [
{
"created": "Fri, 31 Jan 2020 15:37:18 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2020 15:08:20 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jan 2021 05:25:09 GMT",
"version": "v3"
}
] | 2021-02-03 | [
[
"Canfora",
"Fabrizio",
""
],
[
"Giacomini",
"Alex",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Oh",
"Seung Hun",
""
],
[
"Vera",
"Aldo",
""
]
] | In this paper, we construct the first analytic examples of (3+1)-dimensional self-gravitating regular cosmic tube solutions which are superconducting, free of curvature singularities and with non-trivial topological charge in the Einstein-SU(2) non-linear sigma-model. These gravitating topological solitons at a large distance from the axis look like a (boosted) cosmic string with an angular defect given by the parameters of the theory, and near the axis, the parameters of the solutions can be chosen so that the metric is singularity free and without angular defect. The curvature is concentrated on a tube around the axis. These solutions are similar to the Cohen-Kaplan global string but regular everywhere, and the non-linear sigma-model regularizes the gravitating global string in a similar way as a non-Abelian field regularizes the Dirac monopole. Also, these solutions can be promoted to those of the fully coupled Einstein-Maxwell non-linear sigma-model in which the non-linear sigma-model is minimally coupled both to the U(1) gauge field and to General Relativity. The analysis shows that these solutions behave as superconductors as they carry a persistent current even when the U(1) field vanishes. Such persistent current cannot be continuously deformed to zero as it is tied to the topological charge of the solutions themselves. The peculiar features of the gravitational lensing of these gravitating solitons are shortly discussed. |
1905.07936 | Aleksandrs Aleksejevs | A. Aleksejevs and S. Barkanova | Dimensional Regularization and Dispersive Two-Loop Calculations | null | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The two-loop contributions are now often required by the precision
experiments, yet are hard to express analytically while keeping precision. One
way to approach this challenging task is via the dispersive approach, allowing
to replace sub-loop diagram by effective propagator. This paper builds on our
previous work, where we developed a general approach based on representation of
many-point Passarino-Veltman functions in two-point function basis. In this
work, we have extracted the UV-divergent poles of the Passarino-Veltman
functions analytically and presented them as the dimensionally-regularized and
multiply-subtracted dispersive sub-loop insertions, including self-energy,
triangle, box and pentagon type.
| [
{
"created": "Mon, 20 May 2019 08:10:52 GMT",
"version": "v1"
}
] | 2019-05-21 | [
[
"Aleksejevs",
"A.",
""
],
[
"Barkanova",
"S.",
""
]
] | The two-loop contributions are now often required by the precision experiments, yet are hard to express analytically while keeping precision. One way to approach this challenging task is via the dispersive approach, allowing to replace sub-loop diagram by effective propagator. This paper builds on our previous work, where we developed a general approach based on representation of many-point Passarino-Veltman functions in two-point function basis. In this work, we have extracted the UV-divergent poles of the Passarino-Veltman functions analytically and presented them as the dimensionally-regularized and multiply-subtracted dispersive sub-loop insertions, including self-energy, triangle, box and pentagon type. |
2008.04361 | Slava Rychkov | Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov | Gentle introduction to rigorous Renormalization Group: a worked
fermionic example | 55 pages + appendices, many figures; v2: refs added; v3: refs added,
intro greatly expanded, App. J.1 added, version accepted by JHEP; v4: minor
misprints corrected | JHEP 2021, 26 (2021) | 10.1007/JHEP01(2021)026 | null | hep-th cond-mat.stat-mech math-ph math.MP math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Much of our understanding of critical phenomena is based on the notion of
Renormalization Group (RG), but the actual determination of its fixed points is
usually based on approximations and truncations, and predictions of physical
quantities are often of limited accuracy. The RG fixed points can be however
given a fully rigorous and non-perturbative characterization, and this is what
is presented here in a model of symplectic fermions with a nonlocal
("long-range") kinetic term depending on a parameter $\varepsilon$ and a
quartic interaction. We identify the Banach space of interactions, which the
fixed point belongs to, and we determine it via a convergent approximation
scheme. The Banach space is not limited to relevant interactions, but it
contains all possible irrelevant terms with short-ranged kernels, decaying like
a stretched exponential at large distances. As the model shares a number of
features in common with $\phi^4$ or Ising models, the result can be used as a
benchmark to test the validity of truncations and approximations in RG studies.
The analysis is based on results coming from Constructive RG to which we
provide a tutorial and self-contained introduction. In addition, we prove that
the fixed point is analytic in $\varepsilon$, a somewhat surprising fact
relying on the fermionic nature of the problem.
| [
{
"created": "Mon, 10 Aug 2020 18:47:42 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2020 08:48:31 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Nov 2020 08:47:54 GMT",
"version": "v3"
},
{
"created": "Sat, 30 Jan 2021 08:17:40 GMT",
"version": "v4"
}
] | 2021-02-02 | [
[
"Giuliani",
"Alessandro",
""
],
[
"Mastropietro",
"Vieri",
""
],
[
"Rychkov",
"Slava",
""
]
] | Much of our understanding of critical phenomena is based on the notion of Renormalization Group (RG), but the actual determination of its fixed points is usually based on approximations and truncations, and predictions of physical quantities are often of limited accuracy. The RG fixed points can be however given a fully rigorous and non-perturbative characterization, and this is what is presented here in a model of symplectic fermions with a nonlocal ("long-range") kinetic term depending on a parameter $\varepsilon$ and a quartic interaction. We identify the Banach space of interactions, which the fixed point belongs to, and we determine it via a convergent approximation scheme. The Banach space is not limited to relevant interactions, but it contains all possible irrelevant terms with short-ranged kernels, decaying like a stretched exponential at large distances. As the model shares a number of features in common with $\phi^4$ or Ising models, the result can be used as a benchmark to test the validity of truncations and approximations in RG studies. The analysis is based on results coming from Constructive RG to which we provide a tutorial and self-contained introduction. In addition, we prove that the fixed point is analytic in $\varepsilon$, a somewhat surprising fact relying on the fermionic nature of the problem. |
1505.03976 | Mihai Visinescu | Elena Mirela Babalic, Mihai Visinescu | Complete integrability of geodesic motion in Sasaki-Einstein toric
$Y^{p,q}$ spaces | 14 pages | Mod. Phys. Lett. A, Vol. 30, No. 33 (2015) 1550180 | 10.1142/S0217732315501801 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct explicitly the constants of motion for geodesics in the
$5$-dimensional Sasaki-Einstein spaces $Y^{p,q}$. To carry out this task we use
the knowledge of the complete set of Killing vectors and Killing-Yano tensors
on these spaces. In spite of the fact that we generate a multitude of constants
of motion, only five of them are functionally independent implying the complete
integrability of geodesic flow on $Y^{p,q}$ spaces. In the particular case of
the homogeneous Sasaki-Einstein manifold $T^{1,1}$ the integrals of motion have
simpler forms and the relations between them are described in detail.
| [
{
"created": "Fri, 15 May 2015 07:32:30 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Babalic",
"Elena Mirela",
""
],
[
"Visinescu",
"Mihai",
""
]
] | We construct explicitly the constants of motion for geodesics in the $5$-dimensional Sasaki-Einstein spaces $Y^{p,q}$. To carry out this task we use the knowledge of the complete set of Killing vectors and Killing-Yano tensors on these spaces. In spite of the fact that we generate a multitude of constants of motion, only five of them are functionally independent implying the complete integrability of geodesic flow on $Y^{p,q}$ spaces. In the particular case of the homogeneous Sasaki-Einstein manifold $T^{1,1}$ the integrals of motion have simpler forms and the relations between them are described in detail. |
1809.10515 | Martin Schvellinger | Nicolas Kovensky, Gustavo Michalski, Martin Schvellinger | 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons
from holography | 22 pages, 2 figures | Phys. Rev. D 99, 046005 (2019) | 10.1103/PhysRevD.99.046005 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The structure functions $F_1$ and $F_2$ of the hadronic tensor of vector
mesons are obtained at order $1/N$ and strong coupling using the gauge/gravity
duality. We find that the large $N$ limit and the high energy one do not
commute. Thus, by considering the high energy limit first, our results of the
first moments of $F_1$ for the rho meson agree well with those from lattice
QCD, with an important improvement of the accuracy with respect to the
holographic dual calculation in the planar limit.
| [
{
"created": "Thu, 27 Sep 2018 13:44:20 GMT",
"version": "v1"
}
] | 2019-02-20 | [
[
"Kovensky",
"Nicolas",
""
],
[
"Michalski",
"Gustavo",
""
],
[
"Schvellinger",
"Martin",
""
]
] | The structure functions $F_1$ and $F_2$ of the hadronic tensor of vector mesons are obtained at order $1/N$ and strong coupling using the gauge/gravity duality. We find that the large $N$ limit and the high energy one do not commute. Thus, by considering the high energy limit first, our results of the first moments of $F_1$ for the rho meson agree well with those from lattice QCD, with an important improvement of the accuracy with respect to the holographic dual calculation in the planar limit. |
2308.09401 | Valentin V. Khoze | Valentin V. Khoze | Scattering Amplitudes of Fermions on Monopoles | v1 15 pages published version; v2: Changed the sign of the monopole
charge -1 -> +1 in the SU(2) model, updated related sign conventions. Results
unchanged. Some clarifications & references added. 16 pages | JHEP 11 (2023) 214 | null | IPPP/23/XX | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider scattering processes involving massless fermions and 't
Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand
Unified SU(5) theory. We construct expressions for on-shell amplitudes for
these processes in the $J=0$ partial wave using the spinor helicity basis
consisting of single-particle and pairwise helicities. These processes are
unsuppressed and are relevant for the monopole catalysis of proton decay. The
amplitudes for the minimal processes involving a single fermion scattering on a
monopole in the initial state and half-fermion solitons in the final state are
presented for the first time and are used to obtain the amplitudes for
processes involving more fermions in the initial state and integer fermion
numbers in the final state. A number of such anomalous and non-anomalous
processes, along with their amplitude expressions, are written down for the
$SU(5)$ GUT model.
| [
{
"created": "Fri, 18 Aug 2023 09:03:18 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Feb 2024 14:59:23 GMT",
"version": "v2"
}
] | 2024-02-20 | [
[
"Khoze",
"Valentin V.",
""
]
] | We consider scattering processes involving massless fermions and 't Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand Unified SU(5) theory. We construct expressions for on-shell amplitudes for these processes in the $J=0$ partial wave using the spinor helicity basis consisting of single-particle and pairwise helicities. These processes are unsuppressed and are relevant for the monopole catalysis of proton decay. The amplitudes for the minimal processes involving a single fermion scattering on a monopole in the initial state and half-fermion solitons in the final state are presented for the first time and are used to obtain the amplitudes for processes involving more fermions in the initial state and integer fermion numbers in the final state. A number of such anomalous and non-anomalous processes, along with their amplitude expressions, are written down for the $SU(5)$ GUT model. |
0901.0796 | Jon Chkareuli | J.L. Chkareuli, Archil Kobakhidze, Raymond R. Volkas | Vector-Field Domain Walls | Published version, to appear in Physical Review D | Phys.Rev.D80:065008,2009 | 10.1103/PhysRevD.80.065008 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that spontaneous Lorentz violation may generally lead to metastable
domain walls related to the simultaneous violation of some accompanying
discrete symmetries. Remarkably, such domain wall solutions exist for
space-like Lorentz violation and do not exist for the time-like violation.
Because a preferred space direction is spontaneously induced, these domain
walls have no planar symmetry and produce a peculiar static gravitational field
at small distances, while their long-distance gravity appears the same as for
regular scalar-field walls. Some possible applications of vector-field domain
walls are briefly discussed.
| [
{
"created": "Wed, 7 Jan 2009 10:17:01 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 09:00:15 GMT",
"version": "v2"
},
{
"created": "Thu, 14 May 2009 11:54:18 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Aug 2009 08:53:42 GMT",
"version": "v4"
}
] | 2009-09-24 | [
[
"Chkareuli",
"J. L.",
""
],
[
"Kobakhidze",
"Archil",
""
],
[
"Volkas",
"Raymond R.",
""
]
] | We argue that spontaneous Lorentz violation may generally lead to metastable domain walls related to the simultaneous violation of some accompanying discrete symmetries. Remarkably, such domain wall solutions exist for space-like Lorentz violation and do not exist for the time-like violation. Because a preferred space direction is spontaneously induced, these domain walls have no planar symmetry and produce a peculiar static gravitational field at small distances, while their long-distance gravity appears the same as for regular scalar-field walls. Some possible applications of vector-field domain walls are briefly discussed. |
2406.09027 | Mrityunjay Nath | Mrityunjay Nath, Satyabrata Sahoo and Debajyoti Sarkar | Revisiting subregion holography using OPE blocks | Version 1. 37 pages, 2 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this short note, we revisit the entanglement wedge representation of
AdS$_3$ bulk fields in terms of CFT operator product expansion (OPE) blocks for
a general class of blocks. Given a boundary interval and its associated causal
diamond, the OPEs involve boundary operators with or without spin, and located
either at spacelike or timelike edges of the diamond. Only for a subset of
these cases, can the OPE block be dual to a geodesic bulk field. We show that
when applied to de Sitter, a suitable combination of Euclidean OPE blocks can
represent a dS scalar integrated over the timelike extremal surfaces, which
play an important role in defining pseudo-entropy. We also work out some simple
higher dimensional examples.
| [
{
"created": "Thu, 13 Jun 2024 12:02:37 GMT",
"version": "v1"
}
] | 2024-06-14 | [
[
"Nath",
"Mrityunjay",
""
],
[
"Sahoo",
"Satyabrata",
""
],
[
"Sarkar",
"Debajyoti",
""
]
] | In this short note, we revisit the entanglement wedge representation of AdS$_3$ bulk fields in terms of CFT operator product expansion (OPE) blocks for a general class of blocks. Given a boundary interval and its associated causal diamond, the OPEs involve boundary operators with or without spin, and located either at spacelike or timelike edges of the diamond. Only for a subset of these cases, can the OPE block be dual to a geodesic bulk field. We show that when applied to de Sitter, a suitable combination of Euclidean OPE blocks can represent a dS scalar integrated over the timelike extremal surfaces, which play an important role in defining pseudo-entropy. We also work out some simple higher dimensional examples. |
hep-th/0612147 | Tonnis ter Veldhuis | T.E. Clark, S.T. Love, Muneto Nitta, T. ter Veldhuis, C. Xiong | Gravitating p-Branes | 28 pages, no figures | Phys.Rev.D75:065028,2007 | 10.1103/PhysRevD.75.065028 | null | hep-th | null | Coset methods are used to construct the action describing the dynamics
associated with the spontaneous breaking of the local Poincare symmetries of D
dimensional space-time due to the embedding of a p-brane with codimension
N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the
Einstein-Hilbert action, which, in addition to the gravitational vielbein, also
includes N massive gauge fields corresponding to the broken space translation
symmetries which together carry the fundamental representation of the unbroken
SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The
long wavelength dynamics of the gravitating p-brane is the same as the action
of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field
all coupled to gravity in d=(1+p) dimensional space-time. The general results
are specialized to determine the effective action for the gravitating vortex
solution in the D=6 Abelian Higgs-Kibble model.
| [
{
"created": "Thu, 14 Dec 2006 19:32:04 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2006 21:46:27 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Clark",
"T. E.",
""
],
[
"Love",
"S. T.",
""
],
[
"Nitta",
"Muneto",
""
],
[
"ter Veldhuis",
"T.",
""
],
[
"Xiong",
"C.",
""
]
] | Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model. |
hep-th/9404008 | Larus Thorlacius | J. Polchinski and L. Thorlacius | Free Fermion Representation of a Boundary Conformal Field Theory | latex, 12 pages | Phys.Rev.D50:622-626,1994 | 10.1103/PhysRevD.50.R622 | NSF-ITP-94-29 | hep-th | null | The theory of a massless two-dimensional scalar field with a periodic
boundary interaction is considered. At a critical value of the period this
system defines a conformal field theory and can be re-expressed in terms of
free fermions, which provide a simple realization of a hidden $SU(2)$ symmetry
of the original theory. The partition function and the boundary $S$-matrix can
be computed exactly as a function of the strength of the boundary interaction.
We first consider open strings with one interacting and one Dirichlet boundary,
and then with two interacting boundaries. The latter corresponds to motion in a
periodic tachyon background, and the spectrum exhibits an interesting band
structure which interpolates between free propagation and tight binding as the
interaction strength is varied.
| [
{
"created": "Sat, 2 Apr 1994 03:01:16 GMT",
"version": "v1"
}
] | 2009-10-09 | [
[
"Polchinski",
"J.",
""
],
[
"Thorlacius",
"L.",
""
]
] | The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions, which provide a simple realization of a hidden $SU(2)$ symmetry of the original theory. The partition function and the boundary $S$-matrix can be computed exactly as a function of the strength of the boundary interaction. We first consider open strings with one interacting and one Dirichlet boundary, and then with two interacting boundaries. The latter corresponds to motion in a periodic tachyon background, and the spectrum exhibits an interesting band structure which interpolates between free propagation and tight binding as the interaction strength is varied. |
1305.5825 | Everton Murilo Carvalho Abreu | Everton M. C. Abreu and Jorge Ananias Neto | Considerations on Gravity as an Entropic Force and Entangled States | 4 pages, two column format. Final version to appear in Physics
Letters B | null | 10.1016/j.physletb.2013.10.053 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Verlinde's ideas considered gravity as an emergent force originated from
entropic concepts. This hypothesis generated a huge number of papers through
the last recent years concerning classical and quantum approaches about the
issue. In a recent paper Kobakhidze, using ultra-cold neutrons experiment,
claimed that Verlinde's entropic gravity is not correct. In this letter, by
considering the nonadditivity property of the holographic screen, where we
assumed that the bits are entangled states, we showed that it is possible to
confirm Verlinde's formalism.
| [
{
"created": "Fri, 24 May 2013 18:51:00 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2013 17:48:35 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Abreu",
"Everton M. C.",
""
],
[
"Neto",
"Jorge Ananias",
""
]
] | Verlinde's ideas considered gravity as an emergent force originated from entropic concepts. This hypothesis generated a huge number of papers through the last recent years concerning classical and quantum approaches about the issue. In a recent paper Kobakhidze, using ultra-cold neutrons experiment, claimed that Verlinde's entropic gravity is not correct. In this letter, by considering the nonadditivity property of the holographic screen, where we assumed that the bits are entangled states, we showed that it is possible to confirm Verlinde's formalism. |
hep-th/9702055 | null | D. Han, Y. S. Kim, and M. E. Noz | Lorentz Group derivable from Polarization Optics | 5 pages, LaTeX file, no figures; presented at the 21st International
Colloquium on Group Theoretical Methods in Physics (Goslar, Germany, July,
1996), to be published in the Proceedings. See also Phys. Lett. A, {\bf 219}
26-32 (1996) | null | null | null | hep-th | null | The Lorentz group is the fundamental language for space-time symmetries of
relativistic particles. This group can these days be derived from the
symmetries observed in other branches of physics. It is shown that this group
can be derived from optical filters. The group O(2,1) is appropriate for
attenuation filters, while the O(3) group describes phase-shift filters. The
combined operation leads to a two-by-two representation of the six-parameter
Lorentz group. It is shown also that the bilinear representation of this group
is the natural language for the polarization optics.
| [
{
"created": "Thu, 6 Feb 1997 17:15:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Han",
"D.",
""
],
[
"Kim",
"Y. S.",
""
],
[
"Noz",
"M. E.",
""
]
] | The Lorentz group is the fundamental language for space-time symmetries of relativistic particles. This group can these days be derived from the symmetries observed in other branches of physics. It is shown that this group can be derived from optical filters. The group O(2,1) is appropriate for attenuation filters, while the O(3) group describes phase-shift filters. The combined operation leads to a two-by-two representation of the six-parameter Lorentz group. It is shown also that the bilinear representation of this group is the natural language for the polarization optics. |
2405.06596 | Luigi Tizzano | Adrien Arbalestrier, Riccardo Argurio, Luigi Tizzano | The Non-Invertible Axial Symmetry in QED Comes Full Circle | 27 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We revisit the possibility of constructing non-invertible topological defects
for the axial symmetry of massless QED, despite its ABJ anomaly. Dressing the
defects with a topological quantum field theory with mixed $U(1)$ and
$\mathbb{R}$-valued gauge fields, we are able to describe axial rotations of
any rational or irrational angle. We confront our results with the existing
proposals, in particular those that concern rational angles. We also provide
the Symmetry TFT that reproduces the action of all such symmetry defects of
QED. Finally, we discuss how similar techniques allow the study of condensation
defects for a $\mathbb{R}$ global symmetry.
| [
{
"created": "Fri, 10 May 2024 16:53:43 GMT",
"version": "v1"
}
] | 2024-05-13 | [
[
"Arbalestrier",
"Adrien",
""
],
[
"Argurio",
"Riccardo",
""
],
[
"Tizzano",
"Luigi",
""
]
] | We revisit the possibility of constructing non-invertible topological defects for the axial symmetry of massless QED, despite its ABJ anomaly. Dressing the defects with a topological quantum field theory with mixed $U(1)$ and $\mathbb{R}$-valued gauge fields, we are able to describe axial rotations of any rational or irrational angle. We confront our results with the existing proposals, in particular those that concern rational angles. We also provide the Symmetry TFT that reproduces the action of all such symmetry defects of QED. Finally, we discuss how similar techniques allow the study of condensation defects for a $\mathbb{R}$ global symmetry. |
1710.03420 | Michael Thies | Michael Thies | Fermion number of twisted kinks in the NJL$_2$ model, revisited | 6 pages, 4 figures; v2: minor corrections | Phys. Rev. D 97, 056012 (2018) | 10.1103/PhysRevD.97.056012 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As a consequence of axial current conservation, fermions cannot be localized
in the massless NJL$_2$ model. In the case of twisted kinks, this manifests
itself in a cancellation between valence fermion density and fermion density
induced in the Dirac sea. To attribute the correct fermion number to these
bound states requires an infrared regularization. Recently, this has been
achieved by introducing a bare fermion mass, at least in the non-relativistic
regime of small twist angles and fermion numbers. Here, we propose a simpler
regularization by a finite box which preserves integrability and can be applied
at any twist angle. A consistent and physically plausible assignment of fermion
number to all twisted kinks emerges.
| [
{
"created": "Tue, 10 Oct 2017 06:49:31 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Jan 2018 10:54:04 GMT",
"version": "v2"
}
] | 2018-03-28 | [
[
"Thies",
"Michael",
""
]
] | As a consequence of axial current conservation, fermions cannot be localized in the massless NJL$_2$ model. In the case of twisted kinks, this manifests itself in a cancellation between valence fermion density and fermion density induced in the Dirac sea. To attribute the correct fermion number to these bound states requires an infrared regularization. Recently, this has been achieved by introducing a bare fermion mass, at least in the non-relativistic regime of small twist angles and fermion numbers. Here, we propose a simpler regularization by a finite box which preserves integrability and can be applied at any twist angle. A consistent and physically plausible assignment of fermion number to all twisted kinks emerges. |
0903.3356 | Konstantinos Farakos | K. Farakos | Lorentz violation effects in asymmetric two brane models: a
nonperturbative analysis | 19 pages, 9 eps figures | JHEP 0908:031,2009 | 10.1088/1126-6708/2009/08/031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the case of bulk photons in a Lorentz violating brane background,
with an asymmetric warping between space and time warp factors. A perturbative
analysis, in a previous work, gave an energy dependent phase (or group)
velocity of light: $V_{ph}(\omega)=V_{ph}(0)-C_G \:\omega^2 \quad (C_G>0)$,
which was derived up to second order of time independent perturbation theory.
In this paper, we go beyond the perturbative result and we study the
nonperturbative behavior of the phase velocity for larger energies, by solving
numerically an eigenvalue problem for the wave function of the zero mode (4D
photon). In particular we see that $V_{ph}(\omega)$ is in general a
monotonically decreasing function which tends asymptotically to a final value
$V_{ph}(\infty)$. We compare with the results of perturbation theory and we
obtain a very good agreement in the range of small energies. We also present a
wave function analysis and we see that in the nonperturbative sector of the
theory (very high energies), the zero mode and the massive KK modes tend to
decouple from matter localized on the TeV brane.
| [
{
"created": "Thu, 19 Mar 2009 16:08:35 GMT",
"version": "v1"
}
] | 2009-08-12 | [
[
"Farakos",
"K.",
""
]
] | We consider the case of bulk photons in a Lorentz violating brane background, with an asymmetric warping between space and time warp factors. A perturbative analysis, in a previous work, gave an energy dependent phase (or group) velocity of light: $V_{ph}(\omega)=V_{ph}(0)-C_G \:\omega^2 \quad (C_G>0)$, which was derived up to second order of time independent perturbation theory. In this paper, we go beyond the perturbative result and we study the nonperturbative behavior of the phase velocity for larger energies, by solving numerically an eigenvalue problem for the wave function of the zero mode (4D photon). In particular we see that $V_{ph}(\omega)$ is in general a monotonically decreasing function which tends asymptotically to a final value $V_{ph}(\infty)$. We compare with the results of perturbation theory and we obtain a very good agreement in the range of small energies. We also present a wave function analysis and we see that in the nonperturbative sector of the theory (very high energies), the zero mode and the massive KK modes tend to decouple from matter localized on the TeV brane. |
1812.05369 | Aaron Poole | Aaron Poole, Kostas Skenderis and Marika Taylor | (A)dS$\mathbf{_4}$ in Bondi gauge | 70 pages, 11 figures, Mathematica file with the solutions to the
Einstein equations and the transformation from Bondi to Fefferman-Graham
gauges attached. v2: Accepted for publication in Classical and Quantum
Gravity, appendix added providing a comparison of Bondi and Abbott-Deser
masses, references added | null | 10.1088/1361-6382/ab117c | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the general asymptotic solutions of Einstein gravity with or
without cosmological constant in Bondi gauge. The Bondi gauge was originally
introduced in the context of gravitational radiation in asymptotically flat
gravity. In the original work, initial conditions were prescribed at a null
hypersurface and the Einstein equations were shown to take a nested form, which
may be used to explicitly integrate them asymptotically. We streamline the
derivation of the general asymptotic solution in the asymptotically flat case,
and derive the most general asymptotic solutions for the case of non-zero
cosmological constant of either sign (asymptotically locally AdS and dS
solutions). With non-zero cosmological constant, we present integration schemes
which rely on either prescribing data on the conformal boundary or on a null
hypersurface and part of the conformal boundary. We explicitly work out the
transformation to Fefferman-Graham gauge and identity how to extract the
holographic data directly in Bondi coordinates. We illustrate the discussion
with a number of examples and show that for asymptotically AdS${}_4$ spacetimes
the Bondi mass is constant.
| [
{
"created": "Thu, 13 Dec 2018 11:37:02 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2019 15:00:51 GMT",
"version": "v2"
}
] | 2019-05-22 | [
[
"Poole",
"Aaron",
""
],
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
]
] | We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the original work, initial conditions were prescribed at a null hypersurface and the Einstein equations were shown to take a nested form, which may be used to explicitly integrate them asymptotically. We streamline the derivation of the general asymptotic solution in the asymptotically flat case, and derive the most general asymptotic solutions for the case of non-zero cosmological constant of either sign (asymptotically locally AdS and dS solutions). With non-zero cosmological constant, we present integration schemes which rely on either prescribing data on the conformal boundary or on a null hypersurface and part of the conformal boundary. We explicitly work out the transformation to Fefferman-Graham gauge and identity how to extract the holographic data directly in Bondi coordinates. We illustrate the discussion with a number of examples and show that for asymptotically AdS${}_4$ spacetimes the Bondi mass is constant. |
hep-th/9811090 | Sreedhar Vinnakota | L. O'Raifeartaigh, J. M. Pawlowski, and V. V. Sreedhar | Duality in Quantum Liouville Theory | Plain TeX File; 36 pages | Annals Phys. 277 (1999) 117-143; Theor.Math.Phys. 123 (2000)
663-670 | 10.1006/aphy.1999.5951 | DIAS-STP-98-17 | hep-th | null | The quantisation of the two-dimensional Liouville field theory is
investigated using the path integral, on the sphere, in the large radius limit.
The general form of the $N$-point functions of vertex operators is found and
the three-point function is derived explicitly. In previous work it was
inferred that the three-point function should possess a two-dimensional lattice
of poles in the parameter space (as opposed to a one-dimensional lattice one
would expect from the standard Liouville potential). Here we argue that the
two-dimensionality of the lattice has its origin in the duality of the quantum
mechanical Liouville states and we incorporate this duality into the path
integral by using a two-exponential potential. Contrary to what one might
expect, this does not violate conformal invariance; and has the great advantage
of producing the two-dimensional lattice in a natural way.
| [
{
"created": "Tue, 10 Nov 1998 12:52:23 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 1999 16:49:15 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"O'Raifeartaigh",
"L.",
""
],
[
"Pawlowski",
"J. M.",
""
],
[
"Sreedhar",
"V. V.",
""
]
] | The quantisation of the two-dimensional Liouville field theory is investigated using the path integral, on the sphere, in the large radius limit. The general form of the $N$-point functions of vertex operators is found and the three-point function is derived explicitly. In previous work it was inferred that the three-point function should possess a two-dimensional lattice of poles in the parameter space (as opposed to a one-dimensional lattice one would expect from the standard Liouville potential). Here we argue that the two-dimensionality of the lattice has its origin in the duality of the quantum mechanical Liouville states and we incorporate this duality into the path integral by using a two-exponential potential. Contrary to what one might expect, this does not violate conformal invariance; and has the great advantage of producing the two-dimensional lattice in a natural way. |
hep-th/0403221 | Frederic Leblond | Frederic Leblond | Mirage resolution of cosmological singularities | 40 pages, 9 figures | null | null | null | hep-th | null | We study time-dependent backgrounds in the low energy regimes of string
theories. In particular the emphasis is on the general study of exotic
phenomena such as positive acceleration and gravitational bounces. We
generalize the usual Hawking-Penrose cosmological singularity theorems to
higher-dimensional spacetimes and discuss their implications for time-dependent
solutions in supergravity theories. The explicit examples we consider fall in
two categories. First we consider effective lower-dimensional gravitational
theories obtained from compactifications of ten and eleven-dimensional
supergravity. We argue and explain why non-singular solutions (e.g., with
positive acceleration and possibly a bounce) can in principle be obtained.
However we show that their uplift to higher dimensions is always singular as
predicted by the theorems. Secondly we revisit the issue of supergravity
s-branes. Our main result is to propose a generic mechanism by which the usual
singularities can be resolved.
| [
{
"created": "Mon, 22 Mar 2004 17:27:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Leblond",
"Frederic",
""
]
] | We study time-dependent backgrounds in the low energy regimes of string theories. In particular the emphasis is on the general study of exotic phenomena such as positive acceleration and gravitational bounces. We generalize the usual Hawking-Penrose cosmological singularity theorems to higher-dimensional spacetimes and discuss their implications for time-dependent solutions in supergravity theories. The explicit examples we consider fall in two categories. First we consider effective lower-dimensional gravitational theories obtained from compactifications of ten and eleven-dimensional supergravity. We argue and explain why non-singular solutions (e.g., with positive acceleration and possibly a bounce) can in principle be obtained. However we show that their uplift to higher dimensions is always singular as predicted by the theorems. Secondly we revisit the issue of supergravity s-branes. Our main result is to propose a generic mechanism by which the usual singularities can be resolved. |
hep-th/9807084 | Feng-Li Lin | Feng-Li Lin | Black hole in de Sitter space | 4 pages, no figure. Talk presented at PASCOS-98, Northeastern
University, March 22-29, 1988 | null | null | VPI-IPPAP-98-4 | hep-th | null | If cosmological constant is positive, a black hole is naturally described by
the Schwarzschild-de Sitter solution with two horizons. We use the global
method to extract the topological information and the selection rule for the
Gibbons-Hawking temperature for the thermal vacua. These are related to the
Euler number of the Euclidean section whose topology is more complicated than
expected. We also point out the failure of the usual local method of conical
singularity approach in dealing with multi-horizon scenarios.
| [
{
"created": "Sat, 11 Jul 1998 23:01:56 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 1998 14:49:18 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Lin",
"Feng-Li",
""
]
] | If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the Gibbons-Hawking temperature for the thermal vacua. These are related to the Euler number of the Euclidean section whose topology is more complicated than expected. We also point out the failure of the usual local method of conical singularity approach in dealing with multi-horizon scenarios. |
1908.08201 | Hongbo Cheng | Hongbo Cheng, Yue Zhong | The instability of a black hole with $f(R)$ global monopole under
extended uncertainty principle | 13 pages, 3 figures | Chinese Physics C45(2021)105102 | 10.1088/1674-1137/ac1668 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the evolution of black hole involving an $f(R)$ global monopole
based on the Extended Uncertainty Principle (EUP). The black hole evolutions
refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation
or fragmentation. It is found that the EUP corrections make the entropy
difference larger to encourage the black hole to radiate more greatly. We also
show that the appearance of the EUP effects result in the black hole's
division. The influence from global monopole and the revision of general
relativity can also adjust the black hole evolution simultaneously, but can not
change the final result that the black hole will not be stable because of the
EUP's effects.
| [
{
"created": "Thu, 22 Aug 2019 04:59:35 GMT",
"version": "v1"
}
] | 2022-06-02 | [
[
"Cheng",
"Hongbo",
""
],
[
"Zhong",
"Yue",
""
]
] | We consider the evolution of black hole involving an $f(R)$ global monopole based on the Extended Uncertainty Principle (EUP). The black hole evolutions refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation or fragmentation. It is found that the EUP corrections make the entropy difference larger to encourage the black hole to radiate more greatly. We also show that the appearance of the EUP effects result in the black hole's division. The influence from global monopole and the revision of general relativity can also adjust the black hole evolution simultaneously, but can not change the final result that the black hole will not be stable because of the EUP's effects. |
0802.3829 | Kei-Ichi Kondo | Kei-Ichi Kondo (Chiba Univ., Japan) | Magnetic monopoles and center vortices as gauge-invariant topological
defects simultaneously responsible for confinement | 20 (Cover+19) pages, 3 figures; version to be published in J. Phys.
G: Nucl. Part. Phys | J.Phys.G35:085001,2008 | 10.1088/0954-3899/35/8/085001 | CHIBA-EP-171 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a gauge-invariant definition of the vortex surface in SU(N)
Yang-Mills theory without using the gauge fixing procedure. In this
construction, gauge-invariant magnetic monopoles with fractional magnetic
charges emerge in the boundary of the non-oriented vortex surface such that the
asymptotic string tension reproduces the correct $N$-ality dependence. We show
that gauge-invariant magnetic monopoles and vortices are simultaneously
responsible for quark confinement in four dimensional spacetime based on the
Wilson criterion. These results are extracted from a non-Abelian Stokes theorem
derived in the previous paper.
| [
{
"created": "Tue, 26 Feb 2008 15:32:45 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2008 05:32:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ., Japan"
]
] | We give a gauge-invariant definition of the vortex surface in SU(N) Yang-Mills theory without using the gauge fixing procedure. In this construction, gauge-invariant magnetic monopoles with fractional magnetic charges emerge in the boundary of the non-oriented vortex surface such that the asymptotic string tension reproduces the correct $N$-ality dependence. We show that gauge-invariant magnetic monopoles and vortices are simultaneously responsible for quark confinement in four dimensional spacetime based on the Wilson criterion. These results are extracted from a non-Abelian Stokes theorem derived in the previous paper. |
hep-th/9603042 | Ronen Plesser | P.C. Argyres, M.R. Plesser, and N. Seiberg | The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD | 46 pages harvmac, 3 figures included using epsf.tex | Nucl.Phys.B471:159-194,1996 | 10.1016/0550-3213(96)00210-6 | RU-96-07, WIS-96-1 | hep-th hep-ph | null | We analyze in detail the moduli space of vacua of N=2 SUSY QCD with n_c
colors and n_f flavors. The Coulomb branch has submanifolds with non-Abelian
gauge symmetry. The massless quarks and gluons at these vacua are smoothly
connected to the underlying elementary quarks and gluons. Upon breaking N=2 by
an N=1 preserving mass term for the adjoint field the theory flows to N=1 SUSY
QCD. Some of the massless quarks and gluons on the moduli space of the N=2
theory become the magnetic quarks and gluons of the N=1 theory. In this way we
derive the duality in N=1 SUSY QCD by identifying its crucial building
blocks---the magnetic degrees of freedom---using only semiclassical physics and
the non-renormalization theorem.
| [
{
"created": "Thu, 7 Mar 1996 20:01:29 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Argyres",
"P. C.",
""
],
[
"Plesser",
"M. R.",
""
],
[
"Seiberg",
"N.",
""
]
] | We analyze in detail the moduli space of vacua of N=2 SUSY QCD with n_c colors and n_f flavors. The Coulomb branch has submanifolds with non-Abelian gauge symmetry. The massless quarks and gluons at these vacua are smoothly connected to the underlying elementary quarks and gluons. Upon breaking N=2 by an N=1 preserving mass term for the adjoint field the theory flows to N=1 SUSY QCD. Some of the massless quarks and gluons on the moduli space of the N=2 theory become the magnetic quarks and gluons of the N=1 theory. In this way we derive the duality in N=1 SUSY QCD by identifying its crucial building blocks---the magnetic degrees of freedom---using only semiclassical physics and the non-renormalization theorem. |
hep-th/0405191 | Takashi Tamaki | Takashi Tamaki and Hidefumi Nomura | The universal area spectrum in single-horizon black holes | 5 pages, 1 figure, references and comments added | Phys.Rev. D70 (2004) 044041 | 10.1103/PhysRevD.70.044041 | KUNS-1921 | hep-th gr-qc | null | We investigate highly damped quasinormal mode of single-horizon black holes
motivated by its relation to the loop quantum gravity. Using the WKB
approximation, we show that the real part of the frequency approaches the value
$T_{\rm H}\ln 3$ for dilatonic black hole as conjectured by Medved et al. and
Padmanabhan. It is surprising since the area specrtum of the black hole
determined by the Bohr's correspondence principle completely agrees with that
of Schwarzschild black hole for any values of the electromagnetic charge or the
dilaton coupling. We discuss its generality for single-horizon black holes and
the meaning in the loop quantum gravity.
| [
{
"created": "Sat, 22 May 2004 03:40:32 GMT",
"version": "v1"
},
{
"created": "Sun, 30 May 2004 08:37:19 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Jun 2004 05:44:39 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Tamaki",
"Takashi",
""
],
[
"Nomura",
"Hidefumi",
""
]
] | We investigate highly damped quasinormal mode of single-horizon black holes motivated by its relation to the loop quantum gravity. Using the WKB approximation, we show that the real part of the frequency approaches the value $T_{\rm H}\ln 3$ for dilatonic black hole as conjectured by Medved et al. and Padmanabhan. It is surprising since the area specrtum of the black hole determined by the Bohr's correspondence principle completely agrees with that of Schwarzschild black hole for any values of the electromagnetic charge or the dilaton coupling. We discuss its generality for single-horizon black holes and the meaning in the loop quantum gravity. |
1511.01949 | Masato Nozawa | Dietmar Klemm and Masato Nozawa | Black holes in an expanding universe and supersymmetry | 9 pages, 1 figure; v2: minor modifications, published version in PLB | Phys. Lett. B 753 (2016) 110 | 10.1016/j.physletb.2015.12.006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper analyzes the supersymmetric solutions to five and six-dimensional
minimal (un)gauged supergravities for which the bilinear Killing vector
constructed from the Killing spinor is null. We focus on the spacetimes which
admit an additional ${\rm SO}(1,1)$ boost symmetry. Upon the toroidal
dimensional reduction along the Killing vector corresponding to the boost, we
show that the solution in the ungauged case describes a charged, nonextremal
black hole in a Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe with an
expansion driven by a massless scalar field. For the gauged case, the solution
corresponds to a charged, nonextremal black hole embedded conformally into a
Kantowski-Sachs universe. It turns out that these dimensional reductions break
supersymmetry since the bilinear Killing vector and the Killing vector
corresponding to the boost fail to commute. This represents a new mechanism of
supersymmetry breaking that has not been considered in the literature before.
| [
{
"created": "Thu, 5 Nov 2015 23:11:14 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Dec 2015 19:06:09 GMT",
"version": "v2"
}
] | 2015-12-15 | [
[
"Klemm",
"Dietmar",
""
],
[
"Nozawa",
"Masato",
""
]
] | This paper analyzes the supersymmetric solutions to five and six-dimensional minimal (un)gauged supergravities for which the bilinear Killing vector constructed from the Killing spinor is null. We focus on the spacetimes which admit an additional ${\rm SO}(1,1)$ boost symmetry. Upon the toroidal dimensional reduction along the Killing vector corresponding to the boost, we show that the solution in the ungauged case describes a charged, nonextremal black hole in a Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe with an expansion driven by a massless scalar field. For the gauged case, the solution corresponds to a charged, nonextremal black hole embedded conformally into a Kantowski-Sachs universe. It turns out that these dimensional reductions break supersymmetry since the bilinear Killing vector and the Killing vector corresponding to the boost fail to commute. This represents a new mechanism of supersymmetry breaking that has not been considered in the literature before. |
1612.08675 | M. Bel\'en Farias | M. Bel\'en Farias, C\'esar D. Fosco, Fernando C. Lombardo and
Francisco D. Mazzitelli | Quantum friction between graphene sheets | 16 pages, 3 figures. Minor corrections | Phys. Rev. D 95, 065012 (2017) | 10.1103/PhysRevD.95.065012 | null | hep-th cond-mat.mes-hall quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Casimir friction phenomenon in a system consisting of two flat,
infinite, and parallel graphene sheets, which are coupled to the vacuum
electromagnetic (EM) field. Those couplings are implemented, in the description
we use, by means of specific terms in the effective action for the EM field.
They incorporate the distinctive properties of graphene, as well as the
relative sliding motion of the sheets. Based on this description, we evaluate
two observables due to the same physical effect: the probability of vacuum
decay and the frictional force. The system exhibits a threshold for frictional
effects, namely, they only exist if the speed of the sliding motion is larger
than the Fermi velocity of the charge carriers in graphene.
| [
{
"created": "Tue, 27 Dec 2016 16:52:15 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2017 02:32:24 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Apr 2017 13:12:34 GMT",
"version": "v3"
}
] | 2017-04-12 | [
[
"Farias",
"M. Belén",
""
],
[
"Fosco",
"César D.",
""
],
[
"Lombardo",
"Fernando C.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] | We study the Casimir friction phenomenon in a system consisting of two flat, infinite, and parallel graphene sheets, which are coupled to the vacuum electromagnetic (EM) field. Those couplings are implemented, in the description we use, by means of specific terms in the effective action for the EM field. They incorporate the distinctive properties of graphene, as well as the relative sliding motion of the sheets. Based on this description, we evaluate two observables due to the same physical effect: the probability of vacuum decay and the frictional force. The system exhibits a threshold for frictional effects, namely, they only exist if the speed of the sliding motion is larger than the Fermi velocity of the charge carriers in graphene. |
hep-th/0512303 | Carlos Hoyos Badajoz | C.Hoyos | Large N orbifold field theories on the twisted torus | 36 pages, 6 figures; discussion about electric fluxes and vacuum
angles added | Nucl.Phys.B744:96-120,2006 | 10.1016/j.nuclphysb.2006.03.027 | IFT UAM/CSIC-2005-56 | hep-th | null | We study the planar equivalence of orbifold field theories on a small
three-torus with twisted boundary conditions, generalizing the analysis of
hep-th/0507267. The nonsupersymmetric orbifold models exhibit different large N
dynamics from their supersymmetric "parent" counterparts. In particular, a
moduli space of Abelian zero modes is lifted by an $O(N^2)$ potential in the
"daughter" theories. We also find disagreement between the number of discrete
vacua of both theories, due to fermionic zero modes in the parent theory, as
well as the values of semiclassical tunneling contributions to fermionic
correlation functions, induced by fractional instantons.
| [
{
"created": "Fri, 23 Dec 2005 17:16:19 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2006 11:28:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hoyos",
"C.",
""
]
] | We study the planar equivalence of orbifold field theories on a small three-torus with twisted boundary conditions, generalizing the analysis of hep-th/0507267. The nonsupersymmetric orbifold models exhibit different large N dynamics from their supersymmetric "parent" counterparts. In particular, a moduli space of Abelian zero modes is lifted by an $O(N^2)$ potential in the "daughter" theories. We also find disagreement between the number of discrete vacua of both theories, due to fermionic zero modes in the parent theory, as well as the values of semiclassical tunneling contributions to fermionic correlation functions, induced by fractional instantons. |
0904.4575 | Arutyunov Gleb E | Gleb Arutyunov and Sergey Frolov | The Dressing Factor and Crossing Equations | LaTex, 48 pages, 10 figures; v2: a new section added where the
dressing factor of the mirror theory is found; v3: formula (6.12) is
corrected, a new figure is added, accepted for publication in J.Phys.A | null | 10.1088/1751-8113/42/42/425401 | ITP-UU-09-17, SPIN-09-17, TCDMATH-09-12, HMI-09-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilize the DHM integral representation for the BES dressing factor of the
world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the
crossing equations to fix the principal branch of the dressing factor on the
rapidity torus. The results obtained are further used, in conjunction with the
fusion procedure, to determine the bound state dressing factor of the mirror
theory. We convincingly demonstrate that the mirror bound state S-matrix found
in this way does not depend on the internal structure of a bound state solution
employed in the fusion procedure. This welcome feature is in perfect parallel
to string theory, where the corresponding bound state S-matrix has no bearing
on bound state constituent particles as well. The mirror bound state S-matrix
we found provides the final missing piece in setting up the TBA equations for
the AdS_5xS^5 mirror theory.
| [
{
"created": "Wed, 29 Apr 2009 16:40:30 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2009 16:52:17 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Sep 2009 15:18:37 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Arutyunov",
"Gleb",
""
],
[
"Frolov",
"Sergey",
""
]
] | We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor on the rapidity torus. The results obtained are further used, in conjunction with the fusion procedure, to determine the bound state dressing factor of the mirror theory. We convincingly demonstrate that the mirror bound state S-matrix found in this way does not depend on the internal structure of a bound state solution employed in the fusion procedure. This welcome feature is in perfect parallel to string theory, where the corresponding bound state S-matrix has no bearing on bound state constituent particles as well. The mirror bound state S-matrix we found provides the final missing piece in setting up the TBA equations for the AdS_5xS^5 mirror theory. |
1605.07128 | Paul K. Townsend | Paul K. Townsend | Noether theorems and higher derivatives | 15 pages. Expanded to allow for symmetries of the equations of motion
that are not symmetries of the action, and to include some discussion of the
field theory generalisation | null | null | DAMTP-2016-38 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A simple proof of Noether's first theorem involves the promotion of a
constant symmetry parameter $\epsilon$ to an arbitrary function of time, the
Noether charge $Q$ is then the coefficient of $\dot\epsilon$ in the variation
of the action. Here we examine the validity of this proof for Lagrangian
mechanics with arbitrarily-high time derivatives, in which context
"higher-level" analogs of Noether's theorem can be similarly proved, and
"Noetherian charges" read off from, e.g. the coefficient of $\ddot \epsilon$ in
the variation of the action. While $Q=0$ implies a restricted gauge invariance,
unrestricted gauge invariance requires zero Noetherian charges too. Some
illustrative examples are considered and the extension to field theory
discussed.
| [
{
"created": "Mon, 23 May 2016 18:33:35 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2016 21:46:44 GMT",
"version": "v2"
}
] | 2016-06-02 | [
[
"Townsend",
"Paul K.",
""
]
] | A simple proof of Noether's first theorem involves the promotion of a constant symmetry parameter $\epsilon$ to an arbitrary function of time, the Noether charge $Q$ is then the coefficient of $\dot\epsilon$ in the variation of the action. Here we examine the validity of this proof for Lagrangian mechanics with arbitrarily-high time derivatives, in which context "higher-level" analogs of Noether's theorem can be similarly proved, and "Noetherian charges" read off from, e.g. the coefficient of $\ddot \epsilon$ in the variation of the action. While $Q=0$ implies a restricted gauge invariance, unrestricted gauge invariance requires zero Noetherian charges too. Some illustrative examples are considered and the extension to field theory discussed. |
1003.2982 | Kofinas Georgios | D.V. Gal'tsov, G. Kofinas, P. Spirin, T.N. Tomaras | Classical ultrarelativistic bremsstrahlung in extra dimensions | Preprint number added | JHEP 1005:055,2010 | 10.1007/JHEP05(2010)055 | CCTP-2010-17 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emitted energy and the cross-section of classical scalar bremsstrahlung
in massive particle collisions in D=4+d dimensional Minkowski space M_D as well
as in the brane world M_4 \times T^d is computed to leading ultra-relativistic
order. The particles are taken to interact in the first case via the exchange
of a bulk massless scalar field \Phi and in the second with an additional
massless scalar \phi confined together with the particles on the brane. Energy
is emitted as \Phi radiation in the bulk and/or \phi radiation on the brane. In
contrast to the quantum Born approximation, the classical result is unambiguous
and valid in a kinematical region which is also specified. For D=4 the results
are in agreement with corresponding expressions in classical electrodynamics.
| [
{
"created": "Mon, 15 Mar 2010 18:32:13 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Dec 2010 18:47:56 GMT",
"version": "v2"
}
] | 2010-12-07 | [
[
"Gal'tsov",
"D. V.",
""
],
[
"Kofinas",
"G.",
""
],
[
"Spirin",
"P.",
""
],
[
"Tomaras",
"T. N.",
""
]
] | The emitted energy and the cross-section of classical scalar bremsstrahlung in massive particle collisions in D=4+d dimensional Minkowski space M_D as well as in the brane world M_4 \times T^d is computed to leading ultra-relativistic order. The particles are taken to interact in the first case via the exchange of a bulk massless scalar field \Phi and in the second with an additional massless scalar \phi confined together with the particles on the brane. Energy is emitted as \Phi radiation in the bulk and/or \phi radiation on the brane. In contrast to the quantum Born approximation, the classical result is unambiguous and valid in a kinematical region which is also specified. For D=4 the results are in agreement with corresponding expressions in classical electrodynamics. |
0705.0024 | Michael Gutperle | Eric D'Hoker, John Estes and Michael Gutperle | Exact half-BPS Type IIB interface solutions II: Flux solutions and
multi-Janus | LaTeX, 64 pages, 10 figures | JHEP 0706:022,2007 | 10.1088/1126-6708/2007/06/022 | UCLA/07/TEP/10 | hep-th | null | Regularity and topology conditions are imposed on the exact Type IIB
solutions on $AdS_4 \times S^2 \times S^2 \times \Sigma $ with 16
supersymmetries, which were derived in a companion paper. We construct an
infinite class of regular solutions with varying dilaton, and non-zero 3-form
fluxes. Our solutions may be viewed as the fully back-reacted geometries of
$AdS_5 \times S^5$ (or more generally, Janus) doped with D5 and/or NS5 branes.
The solutions are parametrized by the choice of an arbitrary genus $g$
hyper-elliptic Riemann surface $\Sigma $ with boundary, all of whose branch
points are restricted to lie on a line. For genus 0, the Janus solution with 16
supersymmetries and 6 real parameters is recovered; its topology coincides with
that of $AdS_5 \times S^5$. The genus $g\geq 1$ solutions are parametrized by a
total of $4g+6$ real numbers, $2g-1$ of which are the real moduli of $\Sigma$.
The solutions have $2g+2$ asymptotic $AdS_5 \times S^5$ regions, $g$
three-spheres with RR 3-form charge, and another $g$ with NSNS 3-form charge.
Collapse of consecutive branch points of $\Sigma $ yields singularities which
correspond to D5 and NS5 branes in the probe limit. It is argued that the
AdS/CFT dual gauge theory to each of our solutions consists of a
2+1-dimensional planar interface on which terminate $2g+2$ half-Minkowski
3+1-dimensional space-time $\mathcal{N}=4$ super-Yang-Mills theories.
Generally, the $\\mathcal{N}=4$ theory in each Minkowski half-space-time may
have an independent value of the gauge coupling, and the interface may support
various operators, whose interface couplings are further free parameters of the
dual gauge theory.
| [
{
"created": "Mon, 30 Apr 2007 21:56:42 GMT",
"version": "v1"
}
] | 2017-09-07 | [
[
"D'Hoker",
"Eric",
""
],
[
"Estes",
"John",
""
],
[
"Gutperle",
"Michael",
""
]
] | Regularity and topology conditions are imposed on the exact Type IIB solutions on $AdS_4 \times S^2 \times S^2 \times \Sigma $ with 16 supersymmetries, which were derived in a companion paper. We construct an infinite class of regular solutions with varying dilaton, and non-zero 3-form fluxes. Our solutions may be viewed as the fully back-reacted geometries of $AdS_5 \times S^5$ (or more generally, Janus) doped with D5 and/or NS5 branes. The solutions are parametrized by the choice of an arbitrary genus $g$ hyper-elliptic Riemann surface $\Sigma $ with boundary, all of whose branch points are restricted to lie on a line. For genus 0, the Janus solution with 16 supersymmetries and 6 real parameters is recovered; its topology coincides with that of $AdS_5 \times S^5$. The genus $g\geq 1$ solutions are parametrized by a total of $4g+6$ real numbers, $2g-1$ of which are the real moduli of $\Sigma$. The solutions have $2g+2$ asymptotic $AdS_5 \times S^5$ regions, $g$ three-spheres with RR 3-form charge, and another $g$ with NSNS 3-form charge. Collapse of consecutive branch points of $\Sigma $ yields singularities which correspond to D5 and NS5 branes in the probe limit. It is argued that the AdS/CFT dual gauge theory to each of our solutions consists of a 2+1-dimensional planar interface on which terminate $2g+2$ half-Minkowski 3+1-dimensional space-time $\mathcal{N}=4$ super-Yang-Mills theories. Generally, the $\\mathcal{N}=4$ theory in each Minkowski half-space-time may have an independent value of the gauge coupling, and the interface may support various operators, whose interface couplings are further free parameters of the dual gauge theory. |
1903.05519 | Marco Crisostomi | Christos Charmousis, Marco Crisostomi, Ruth Gregory, Nikolaos
Stergioulas | Rotating Black Holes in Higher Order Gravity | 5 pages, 3 figures | Phys. Rev. D 100, 084020 (2019) | 10.1103/PhysRevD.100.084020 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a new technique for finding black hole solutions in modified
gravity that have "stealth" hair, i.e., hair whose only gravitational effect is
to tune the cosmological constant. We consider scalar-tensor theories in which
gravitational waves propagate at the speed of light, and show that Einstein
metrics can be painted with stealth hair provided there exists a family of
geodesics always normal to spacelike surfaces. We also present a novel
scalar-dressed rotating black hole that has finite scalar field at both the
black hole and cosmological event horizons.
| [
{
"created": "Wed, 13 Mar 2019 14:48:34 GMT",
"version": "v1"
}
] | 2019-10-16 | [
[
"Charmousis",
"Christos",
""
],
[
"Crisostomi",
"Marco",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Stergioulas",
"Nikolaos",
""
]
] | We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which gravitational waves propagate at the speed of light, and show that Einstein metrics can be painted with stealth hair provided there exists a family of geodesics always normal to spacelike surfaces. We also present a novel scalar-dressed rotating black hole that has finite scalar field at both the black hole and cosmological event horizons. |
0910.1881 | Alfredo Raya | Gabriela Murguia, Alfredo Raya, Angel Sanchez, Edward Reyes | The Electron Propagator in External Electromagnetic Fields in Lower
Dimensions | 23 pages, 8 figures, accepted in Am. J. Phys | Am.J.Phys.78:700-707,2010 | 10.1119/1.3311656 | null | hep-th cond-mat.mes-hall hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the electron propagator in quantum electrodynamics in lower
dimensions. In the case of free electrons, it is well known that the propagator
in momentum space takes the simple form $S_F(p)=1/(\gamma\cdot p-m)$. In the
presence of external electromagnetic fields, electron asymptotic states are no
longer plane-waves, and hence the propagator in the basis of momentum
eigenstates has a more intricate form. Nevertheless, in the basis of the
eigenfunctions of the operator $(\gamma\cdot \Pi)^2$, where $\Pi_\mu$ is the
canonical momentum operator, it acquires the free form $S_F(p)=1/(\gamma\cdot
\bar{p}-m)$ where $\bar{p}_\mu$ depends on the dynamical quantum numbers. We
construct the electron propagator in the basis of the $(\gamma\cdot \Pi)^2$
eigenfunctions. In the (2+1)-dimensional case, we obtain it in an irreducible
representation of the Clifford algebra incorporating to all orders the effects
of a magnetic field of arbitrary spatial shape pointing perpendicularly to the
plane of motion of the electrons. Such an exercise is of relevance in graphene
in the massless limit. The specific examples considered include the uniform
magnetic field and the exponentially damped static magnetic field. We further
consider the electron propagator for the massive Schwinger model incorporating
the effects of a constant electric field to all orders within this framework.
| [
{
"created": "Sat, 10 Oct 2009 00:24:21 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Murguia",
"Gabriela",
""
],
[
"Raya",
"Alfredo",
""
],
[
"Sanchez",
"Angel",
""
],
[
"Reyes",
"Edward",
""
]
] | We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\gamma\cdot p-m)$. In the presence of external electromagnetic fields, electron asymptotic states are no longer plane-waves, and hence the propagator in the basis of momentum eigenstates has a more intricate form. Nevertheless, in the basis of the eigenfunctions of the operator $(\gamma\cdot \Pi)^2$, where $\Pi_\mu$ is the canonical momentum operator, it acquires the free form $S_F(p)=1/(\gamma\cdot \bar{p}-m)$ where $\bar{p}_\mu$ depends on the dynamical quantum numbers. We construct the electron propagator in the basis of the $(\gamma\cdot \Pi)^2$ eigenfunctions. In the (2+1)-dimensional case, we obtain it in an irreducible representation of the Clifford algebra incorporating to all orders the effects of a magnetic field of arbitrary spatial shape pointing perpendicularly to the plane of motion of the electrons. Such an exercise is of relevance in graphene in the massless limit. The specific examples considered include the uniform magnetic field and the exponentially damped static magnetic field. We further consider the electron propagator for the massive Schwinger model incorporating the effects of a constant electric field to all orders within this framework. |
0910.5778 | Harikumar E | E. Harikumar, M. Sivakumar and N. Srinivas | $\kappa$-deformed Dirac Equation | 9 pages, title changed, paper revised and bound modified, one author
added | Mod.Phys.Lett.A26:1103-1115,2011 | 10.1142/S021773231103550X | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its
implications. This $\kappa$-deformed Dirac equation is expanded as a power
series involving derivatives with respect to commutative coordinates and the
deformation parameter, $a$. We show that the $\kappa$-deformation breaks the
charge conjugation invariance but preserves parity and time reversal. We then
study how the Hydrogen atom spectrum is modified due to the
$\kappa$-deformation, applying perturbation theory. Using this, we obtain
bounds on the deformation parameter $a$, which are few orders higher than the
Planck length. We also show that the effects of deformation on the spectrum are
distinct from that of Moyal deformation and generalized uncertainty principle.
| [
{
"created": "Fri, 30 Oct 2009 03:55:37 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2011 04:52:53 GMT",
"version": "v2"
}
] | 2011-07-28 | [
[
"Harikumar",
"E.",
""
],
[
"Sivakumar",
"M.",
""
],
[
"Srinivas",
"N.",
""
]
] | We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the deformation parameter, $a$. We show that the $\kappa$-deformation breaks the charge conjugation invariance but preserves parity and time reversal. We then study how the Hydrogen atom spectrum is modified due to the $\kappa$-deformation, applying perturbation theory. Using this, we obtain bounds on the deformation parameter $a$, which are few orders higher than the Planck length. We also show that the effects of deformation on the spectrum are distinct from that of Moyal deformation and generalized uncertainty principle. |
1001.5172 | Amjad Ashoorioon | Amjad Ashoorioon | Observing the Structure of the Landscape with the CMB Experiments | v1: 8 pages, 2 figures; v2: grammatical typos corrected, results
unchanged v3: To be published in JCAP | JCAP 1004:002,2010 | 10.1088/1475-7516/2010/04/002 | UUITP-02/10 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming that inflation happened through a series of tunneling in the string
theory landscape, it is argued that one can determine the structure of vacua
using precise measurements of the scalar spectral index and tensor
perturbations at large scales. It is shown that for a vacuum structure where
the energy gap between the minima is constant, i.e. $\epsilon_i=i m_f^4$, one
obtains the scalar spectral index, $n_s$, to be $\simeq 0.9687$, for the modes
that exit the horizon 60 e-folds before the end of inflation. Alternatively,
for a vacuum structure in which the energy gap increases linearly with the
vacuum index, i.e. $\epsilon_i=\frac{i^2}{2} m_f^4$, $n_s$ turns out to be
$\simeq 0.9614$. Both these two models are motivated within the string theory
landscape using flux-compactification and their predictions for scalar spectral
index are compatible with WMAP results. For both these two models, the results
for the scalar spectral index turn out to be independent of $m_f$. Nonetheless,
assuming that inflation started at Planckian energies and that there had been
successful thermalization at each step, one can constrain $m_f<2.6069\times
10^{-5} m_P$ and $m_f<6.5396\times 10^{-7} m_P$ in these two models,
respectively. Violation of the single-field consistency relation between the
tensor and scalar spectra is another prediction of chain inflation models. This
corresponds to having a smaller tensor/scalar ratio at large scales in
comparison with the slow-roll counterparts. Similar to slow-roll inflation, it
is argued that one can reconstruct the vacuum structure using the CMB
experiments.
| [
{
"created": "Thu, 28 Jan 2010 18:51:15 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2010 18:05:41 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Mar 2010 19:07:37 GMT",
"version": "v3"
}
] | 2010-04-02 | [
[
"Ashoorioon",
"Amjad",
""
]
] | Assuming that inflation happened through a series of tunneling in the string theory landscape, it is argued that one can determine the structure of vacua using precise measurements of the scalar spectral index and tensor perturbations at large scales. It is shown that for a vacuum structure where the energy gap between the minima is constant, i.e. $\epsilon_i=i m_f^4$, one obtains the scalar spectral index, $n_s$, to be $\simeq 0.9687$, for the modes that exit the horizon 60 e-folds before the end of inflation. Alternatively, for a vacuum structure in which the energy gap increases linearly with the vacuum index, i.e. $\epsilon_i=\frac{i^2}{2} m_f^4$, $n_s$ turns out to be $\simeq 0.9614$. Both these two models are motivated within the string theory landscape using flux-compactification and their predictions for scalar spectral index are compatible with WMAP results. For both these two models, the results for the scalar spectral index turn out to be independent of $m_f$. Nonetheless, assuming that inflation started at Planckian energies and that there had been successful thermalization at each step, one can constrain $m_f<2.6069\times 10^{-5} m_P$ and $m_f<6.5396\times 10^{-7} m_P$ in these two models, respectively. Violation of the single-field consistency relation between the tensor and scalar spectra is another prediction of chain inflation models. This corresponds to having a smaller tensor/scalar ratio at large scales in comparison with the slow-roll counterparts. Similar to slow-roll inflation, it is argued that one can reconstruct the vacuum structure using the CMB experiments. |
1410.5896 | Jonathan Toledo | Jonathan C Toledo | Smooth Wilson loops from the continuum limit of null polygons | 8 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present integral equations for the area of minimal surfaces in AdS_3
ending on generic smooth boundary contours. The equations are derived from the
continuum limit of the AMSV result for null polygonal boundary contours.
Remarkably these continuum equations admit exact solutions in some special
cases. In particular we describe a novel exact solution which interpolates
between the circle and 4-cusp solutions.
| [
{
"created": "Wed, 22 Oct 2014 01:55:23 GMT",
"version": "v1"
}
] | 2014-10-23 | [
[
"Toledo",
"Jonathan C",
""
]
] | We present integral equations for the area of minimal surfaces in AdS_3 ending on generic smooth boundary contours. The equations are derived from the continuum limit of the AMSV result for null polygonal boundary contours. Remarkably these continuum equations admit exact solutions in some special cases. In particular we describe a novel exact solution which interpolates between the circle and 4-cusp solutions. |
hep-th/0703181 | Ulf Lindstr\"om | Ulf Lindstr\"om | Hyperk\"ahler Metrics from Projective Superspace | 10 pages Contribution to ``The 27th Winter School GEOMETRY AND
PHYSICS'', Czech Republic, Srni, January 13 - 20, 2007'' | null | null | UUITP-04/07, HIP-2007-14/TH | hep-th | null | This is a brief review of how sigma models in Projective Superspace have
become important tools for constructing new hyperk\"ahler metrics
| [
{
"created": "Tue, 20 Mar 2007 19:10:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lindström",
"Ulf",
""
]
] | This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperk\"ahler metrics |
1208.4371 | Glenn Barnich | Glenn Barnich | Entropy of three-dimensional asymptotically flat cosmological solutions | 16 pages Latex file, v2: references added, cosmetic changes, v3: 1
reference added | HEP 1210 (2012) 095 | 10.1007/JHEP10(2012)095 | ULB-TH/12-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The thermodynamics of three-dimensional asymptotically flat cosmological
solutions that play the same role than the BTZ black holes in the anti-de
Sitter case is derived and explained from holographic properties of flat space.
It is shown to coincide with the flat-space limit of the thermodynamics of the
inner black hole horizon on the one hand and the semi-classical approximation
to the gravitational partition function associated to the entropy of the outer
horizon on the other. This leads to the insight that it is the Massieu function
that is universal in the sense that it can be computed at either horizon.
| [
{
"created": "Tue, 21 Aug 2012 20:10:01 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Oct 2012 14:25:40 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Nov 2012 17:23:43 GMT",
"version": "v3"
}
] | 2012-11-05 | [
[
"Barnich",
"Glenn",
""
]
] | The thermodynamics of three-dimensional asymptotically flat cosmological solutions that play the same role than the BTZ black holes in the anti-de Sitter case is derived and explained from holographic properties of flat space. It is shown to coincide with the flat-space limit of the thermodynamics of the inner black hole horizon on the one hand and the semi-classical approximation to the gravitational partition function associated to the entropy of the outer horizon on the other. This leads to the insight that it is the Massieu function that is universal in the sense that it can be computed at either horizon. |
hep-th/0510133 | Voja Radovanovic | Maja Buric, Dusko Latas and Voja Radovanovic | Renormalizability of noncommutative SU(N) gauge theory | 11 pages, minor changes, accepted for publication in JHEP | JHEP0602:046,2006 | 10.1088/1126-6708/2006/02/046 | null | hep-th | null | We analyze the renormalizability properties of pure gauge noncommutative
SU(N) theory in the $\theta$-expanded approach. We find that the theory is
one-loop renormalizable to first order in $\theta$.
| [
{
"created": "Mon, 17 Oct 2005 10:27:06 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2006 12:28:34 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Buric",
"Maja",
""
],
[
"Latas",
"Dusko",
""
],
[
"Radovanovic",
"Voja",
""
]
] | We analyze the renormalizability properties of pure gauge noncommutative SU(N) theory in the $\theta$-expanded approach. We find that the theory is one-loop renormalizable to first order in $\theta$. |
1905.01910 | Jan Gutowski | J. B. Gutowski and W. A. Sabra | Real Killing Spinors in Neutral Signature | 23 pages, latex. References added to section 1 | null | 10.1007/JHEP11(2019)173 | DMUS-MP-19-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spinorial geometry methods are used to classify solutions admitting Majorana
Killing spinors of the minimal 4-dimensional supergravity in neutral signature,
with vanishing cosmological constant and a single Maxwell field strength. Two
classes of solutions preserving the minimal amount of supersymmetry are found.
The first class admits a null-Kahler structure and corresponds to a class of
self-dual solutions found by Bryant. The second class admits a null and
rotation-free geodesic congruence with respect to which a parallel frame can be
chosen. Examples of solutions in the former class are pseudo-hyper-Kahler
manifolds; and examples in the latter class include self-dual solutions, as
well as a neutral-signature IWP-type solution.
| [
{
"created": "Mon, 6 May 2019 10:17:02 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2019 23:10:11 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Gutowski",
"J. B.",
""
],
[
"Sabra",
"W. A.",
""
]
] | Spinorial geometry methods are used to classify solutions admitting Majorana Killing spinors of the minimal 4-dimensional supergravity in neutral signature, with vanishing cosmological constant and a single Maxwell field strength. Two classes of solutions preserving the minimal amount of supersymmetry are found. The first class admits a null-Kahler structure and corresponds to a class of self-dual solutions found by Bryant. The second class admits a null and rotation-free geodesic congruence with respect to which a parallel frame can be chosen. Examples of solutions in the former class are pseudo-hyper-Kahler manifolds; and examples in the latter class include self-dual solutions, as well as a neutral-signature IWP-type solution. |
1202.6539 | Wen-Yu Wen | Wen-Yu Wen and Shang-Yu Wu | Dipole Coupling Effect of Holographic Fermion in Charged Dilatonic
Gravity | 13 pages, 6 figures, revtex4 | Phys.Lett. B712 (2012) 266-271 | 10.1016/j.physletb.2012.04.064 | CYCU-HEP-12-03 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we study the dipole coupling effect of holographic fermion in a
charged dilatonic black hole proposed by Gubser and Rocha (arXiv:0911.2898). It
is found that the property of Fermi liquid is rigid under perturbation of
dipole coupling, and the Fermi momentum is linearly shifted. A gap is
dynamically generated as the coupling becomes large enough and the Fermi
surface ceases to exist as the bulk dipole coupling further increases.
| [
{
"created": "Wed, 29 Feb 2012 13:16:58 GMT",
"version": "v1"
}
] | 2013-01-01 | [
[
"Wen",
"Wen-Yu",
""
],
[
"Wu",
"Shang-Yu",
""
]
] | In this note, we study the dipole coupling effect of holographic fermion in a charged dilatonic black hole proposed by Gubser and Rocha (arXiv:0911.2898). It is found that the property of Fermi liquid is rigid under perturbation of dipole coupling, and the Fermi momentum is linearly shifted. A gap is dynamically generated as the coupling becomes large enough and the Fermi surface ceases to exist as the bulk dipole coupling further increases. |
2304.14173 | Vaios Ziogas | Matteo Baggioli, Yanyan Bu, and Vaios Ziogas | U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and
holography | v3: matches published version, v2: new subsection, references added,
minor edits; v1: 44 pages, 4 figures | JHEP09(2023)019 | 10.1007/JHEP09(2023)019 | CPHT-RR017.042023 | hep-th cond-mat.str-el nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quasi-hydrodynamics of a system with a softly broken $U(1)$
global symmetry using effective field theory (EFT) and holographic methods. In
the gravity side, we consider a holographic Proca model in the limit of small
bulk mass, which is responsible for a controllable explicit breaking of the
$U(1)$ global symmetry in the boundary field theory. We perform a holographic
Schwinger-Keldysh analysis, which allows us to derive the form of the boundary
effective action in presence of dissipation. We compare our results with the
previously proposed EFT and hydrodynamic theories, and we confirm their
validity by computing the low-energy quasi-normal modes spectrum analytically
and numerically. Additionally, we derive the broken holographic Ward identity
for the $U(1)$ current, and discuss the recently proposed novel transport
coefficients for systems with explicitly broken symmetries. The setup
considered is expected to serve as a toy model for more realistic situations
where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD,
spin relaxation in relativistic systems, electric field relaxation in
magneto-hydrodynamics, or momentum relaxation in condensed matter systems.
| [
{
"created": "Thu, 27 Apr 2023 13:21:15 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2023 10:40:08 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Aug 2023 22:33:36 GMT",
"version": "v3"
}
] | 2023-09-07 | [
[
"Baggioli",
"Matteo",
""
],
[
"Bu",
"Yanyan",
""
],
[
"Ziogas",
"Vaios",
""
]
] | We study the quasi-hydrodynamics of a system with a softly broken $U(1)$ global symmetry using effective field theory (EFT) and holographic methods. In the gravity side, we consider a holographic Proca model in the limit of small bulk mass, which is responsible for a controllable explicit breaking of the $U(1)$ global symmetry in the boundary field theory. We perform a holographic Schwinger-Keldysh analysis, which allows us to derive the form of the boundary effective action in presence of dissipation. We compare our results with the previously proposed EFT and hydrodynamic theories, and we confirm their validity by computing the low-energy quasi-normal modes spectrum analytically and numerically. Additionally, we derive the broken holographic Ward identity for the $U(1)$ current, and discuss the recently proposed novel transport coefficients for systems with explicitly broken symmetries. The setup considered is expected to serve as a toy model for more realistic situations where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD, spin relaxation in relativistic systems, electric field relaxation in magneto-hydrodynamics, or momentum relaxation in condensed matter systems. |
1404.0477 | Matsuo Sato | Matsuo Sato | On the Structure Constants of Volume Preserving Diffeomorphism Algebra | 8 pages | null | 10.1140/epjc/s10052-014-2878-3 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Regularizing volume preserving diffeomorphism (VPD) is equivalent to a long
standing problem, namely regularizing Nambu-Poisson bracket. In this paper, as
a first step to regularizing VPD, we find general complete independent basis of
VPD algebra. Especially, we find complete independent basis that give simple
structure constants, where three area preserving diffeomorphism (APD) algebras
are manifest. This implies that an algebra that regularizes VPD algebra should
include three u(N) Lie algebras.
| [
{
"created": "Wed, 2 Apr 2014 08:04:29 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Sato",
"Matsuo",
""
]
] | Regularizing volume preserving diffeomorphism (VPD) is equivalent to a long standing problem, namely regularizing Nambu-Poisson bracket. In this paper, as a first step to regularizing VPD, we find general complete independent basis of VPD algebra. Especially, we find complete independent basis that give simple structure constants, where three area preserving diffeomorphism (APD) algebras are manifest. This implies that an algebra that regularizes VPD algebra should include three u(N) Lie algebras. |
hep-th/0108063 | Pierre Mathieu | P. Jacob and P. Mathieu | Parafermionic quasi-particle basis and fermionic-type characters | minor modifications and proof in app. C completed; 34 pages (harvmac
b) | Nucl.Phys. B620 (2002) 351-379 | 10.1016/S0550-3213(01)00548-X | null | hep-th cond-mat math-ph math.MP math.QA | null | A new basis of states for highest-weight modules in $\ZZ_k$ parafermionic
conformal theories is displayed. It is formulated in terms of an effective
exclusion principle constraining strings of $k$ fundamental parafermionic
modes. The states of a module are then built by a simple filling process, with
no singular-vector subtractions. That results in fermionic-sum representations
of the characters, which are exactly the Lepowsky-Primc expressions. We also
stress that the underlying combinatorics -- which is the one pertaining to the
Andrews-Gordon identities -- has a remarkably natural parafermionic
interpretation.
| [
{
"created": "Thu, 9 Aug 2001 17:36:07 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2001 13:49:42 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Jacob",
"P.",
""
],
[
"Mathieu",
"P.",
""
]
] | A new basis of states for highest-weight modules in $\ZZ_k$ parafermionic conformal theories is displayed. It is formulated in terms of an effective exclusion principle constraining strings of $k$ fundamental parafermionic modes. The states of a module are then built by a simple filling process, with no singular-vector subtractions. That results in fermionic-sum representations of the characters, which are exactly the Lepowsky-Primc expressions. We also stress that the underlying combinatorics -- which is the one pertaining to the Andrews-Gordon identities -- has a remarkably natural parafermionic interpretation. |
1109.4931 | Keith Copsey | Keith Copsey | Coleman-de Luccia reconsidered: a subtlety of gravity and the thin wall
approximation | 5 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I point out that the usual Coleman-de Luccia analysis of tunnelling via
instantons between perturbatively stable minima using the thin-wall
approximation misses one of the effects of gravitational backreaction on the
on-shell action and hence the decay rate. Once this oversight is corrected, one
finds these decay rates are much larger than has been generally appreciated;
including the effects of gravity potentials involving barriers which are
relatively high and not overly wide result in decays which are quite rapid
instead of slow. In the light of these results, it is no longer clear that one
should believe string theory predicts a wide class of cosmologically long-lived
metastable de Sitter vacua.
| [
{
"created": "Thu, 22 Sep 2011 19:55:29 GMT",
"version": "v1"
}
] | 2011-09-23 | [
[
"Copsey",
"Keith",
""
]
] | I point out that the usual Coleman-de Luccia analysis of tunnelling via instantons between perturbatively stable minima using the thin-wall approximation misses one of the effects of gravitational backreaction on the on-shell action and hence the decay rate. Once this oversight is corrected, one finds these decay rates are much larger than has been generally appreciated; including the effects of gravity potentials involving barriers which are relatively high and not overly wide result in decays which are quite rapid instead of slow. In the light of these results, it is no longer clear that one should believe string theory predicts a wide class of cosmologically long-lived metastable de Sitter vacua. |
2311.00022 | Joan Quirant | Suman Kundu, Eran Palti and Joan Quirant | Regge growth of isolated massive spin-2 particles and the Swampland | 22 pages + appendices, 5 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider an effective theory with a single massive spin-2 particle and a
gap to the cutoff. We couple the spin-2 particle to gravity, and to other
lower-spin fields, and study the growth of scattering amplitudes of the
particle in the Regge regime: where $s$ is much larger than $t$ and also any
mass scales in the effective theory, but still much lower than the cutoff scale
of the theory and therefore any further massive spin-2 particles. We include in
the effective theory all possible operators, with an arbitrary, but finite,
number of derivatives. We prove that the scattering amplitude grows strictly
faster than $s^2$ in any such theory. Such fast growth goes against expected
bounds on Regge growth. We therefore find further evidence for the Swampland
spin-2 conjecture: that a theory with an isolated massive spin-2 particle,
coupled to gravity, is in the Swampland.
| [
{
"created": "Tue, 31 Oct 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-11-02 | [
[
"Kundu",
"Suman",
""
],
[
"Palti",
"Eran",
""
],
[
"Quirant",
"Joan",
""
]
] | We consider an effective theory with a single massive spin-2 particle and a gap to the cutoff. We couple the spin-2 particle to gravity, and to other lower-spin fields, and study the growth of scattering amplitudes of the particle in the Regge regime: where $s$ is much larger than $t$ and also any mass scales in the effective theory, but still much lower than the cutoff scale of the theory and therefore any further massive spin-2 particles. We include in the effective theory all possible operators, with an arbitrary, but finite, number of derivatives. We prove that the scattering amplitude grows strictly faster than $s^2$ in any such theory. Such fast growth goes against expected bounds on Regge growth. We therefore find further evidence for the Swampland spin-2 conjecture: that a theory with an isolated massive spin-2 particle, coupled to gravity, is in the Swampland. |
1007.2856 | David Turton | William Black, Rodolfo Russo, David Turton | The supergravity fields for a D-brane with a travelling wave from string
amplitudes | 13 pages, v2: minor typos corrected, published version | Phys.Lett.B694:246-251,2010 | 10.1016/j.physletb.2010.09.059 | QMUL-PH-10-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the supergravity fields sourced by a D-brane with a null
travelling wave from disk amplitudes in type IIB string theory compactified on
T^4 x S^1. The amplitudes reproduce all the non-trivial features of the
previously known two-charge supergravity solutions in the D-brane/momentum
frame, providing a direct link between the microscopic bound states and their
macroscopic descriptions.
| [
{
"created": "Fri, 16 Jul 2010 20:02:45 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2010 20:47:59 GMT",
"version": "v2"
}
] | 2010-12-08 | [
[
"Black",
"William",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Turton",
"David",
""
]
] | We calculate the supergravity fields sourced by a D-brane with a null travelling wave from disk amplitudes in type IIB string theory compactified on T^4 x S^1. The amplitudes reproduce all the non-trivial features of the previously known two-charge supergravity solutions in the D-brane/momentum frame, providing a direct link between the microscopic bound states and their macroscopic descriptions. |
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