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/0108111 | Jian-zu Zhang | Jian-zu Zhang | Perturbative Equivalent Theorem in q-Deformed Dynamics | 10 pages, no figure, accepted by Phys. Lett. B | Phys.Lett. B517 (2001) 210-214 | 10.1016/S0370-2693(01)00964-9 | null | hep-th quant-ph | null | Corresponding to two ways of realizing the q-deformed Heisenberg algebra by
the undeformed variables there are two q-perturbative Hamiltonians with the
additional momentum-dependent interactions, one originates from the
perturbative expansion of the potential, the other originates from that of the
kinetic energy term. At the level of operators, these two q-perturbative
Hamiltonians are different. In order to establish a reliable foundation of the
perturbative calculations in q-deformed dynamics, except examples of the
harmonic-oscillator and the Morse potential demonstrated before, the general
q-perturbative equivalent theorem is demonstrated, which states that for any
regular potential which is singularity free the expectation values of two
q-perturbative Hamiltonians in the eigenstates of the undeformed Hamiltonian
are equivalent. For the q-deformed ``free'' particle case, the perturbative
Hamiltonian originated from the kinetic energy term still keeps its general
expression, but it does not lead to energy shift.
| [
{
"created": "Wed, 15 Aug 2001 10:08:08 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Zhang",
"Jian-zu",
""
]
] | Corresponding to two ways of realizing the q-deformed Heisenberg algebra by the undeformed variables there are two q-perturbative Hamiltonians with the additional momentum-dependent interactions, one originates from the perturbative expansion of the potential, the other originates from that of the kinetic energy term. At the level of operators, these two q-perturbative Hamiltonians are different. In order to establish a reliable foundation of the perturbative calculations in q-deformed dynamics, except examples of the harmonic-oscillator and the Morse potential demonstrated before, the general q-perturbative equivalent theorem is demonstrated, which states that for any regular potential which is singularity free the expectation values of two q-perturbative Hamiltonians in the eigenstates of the undeformed Hamiltonian are equivalent. For the q-deformed ``free'' particle case, the perturbative Hamiltonian originated from the kinetic energy term still keeps its general expression, but it does not lead to energy shift. |
0808.3365 | J. Luis Miramontes | J. Luis Miramontes | Pohlmeyer reduction revisited | 45 pages, LaTeX, more references added, accepted for publication in
JHEP | JHEP 0810:087,2008 | 10.1088/1126-6708/2008/10/087 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A systematic group theoretical formulation of the Pohlmeyer reduction is
presented. It provides a map between the equations of motion of sigma models
with target-space a symmetric space M=F/G and a class of integrable
multi-component generalizations of the sine-Gordon equation. When M is of
definite signature their solutions describe classical bosonic string
configurations on the curved space-time R_t\times M. In contrast, if M is of
indefinite signature the solutions to those equations can describe bosonic
string configurations on R_t\times M, M\times S^1_\vartheta or simply M. The
conditions required to enable the Lagrangian formulation of the resulting
equations in terms of gauged WZW actions with a potential term are clarified,
and it is shown that the corresponding Lagrangian action is not unique in
general. The Pohlmeyer reductions of sigma models on CP^n and AdS_n are
discussed as particular examples of symmetric spaces of definite and indefinite
signature, respectively.
| [
{
"created": "Mon, 25 Aug 2008 15:03:25 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Sep 2008 17:15:31 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Oct 2008 10:12:25 GMT",
"version": "v3"
}
] | 2009-01-06 | [
[
"Miramontes",
"J. Luis",
""
]
] | A systematic group theoretical formulation of the Pohlmeyer reduction is presented. It provides a map between the equations of motion of sigma models with target-space a symmetric space M=F/G and a class of integrable multi-component generalizations of the sine-Gordon equation. When M is of definite signature their solutions describe classical bosonic string configurations on the curved space-time R_t\times M. In contrast, if M is of indefinite signature the solutions to those equations can describe bosonic string configurations on R_t\times M, M\times S^1_\vartheta or simply M. The conditions required to enable the Lagrangian formulation of the resulting equations in terms of gauged WZW actions with a potential term are clarified, and it is shown that the corresponding Lagrangian action is not unique in general. The Pohlmeyer reductions of sigma models on CP^n and AdS_n are discussed as particular examples of symmetric spaces of definite and indefinite signature, respectively. |
2111.07947 | Stephen Angus | Stephen Angus, Minkyoo Kim, and Jeong-Hyuck Park | Fractons, non-Riemannian Geometry, and Double Field Theory | v3) Published version. Title changed from "Fractons, geometrically"
to current title; minor revisions. v2) 12 pages + appendix + references = 17
pages. Revised and expanded version: includes extensions to curved spacetime,
predictions for polaron mass and time crystals, further clarifying remarks
and details, and additional references. v1) 5 pages + supplemental material +
references = 10 pages | Phys. Rev. Research 4, 033186 (2022) | 10.1103/PhysRevResearch.4.033186 | APCTP Pre2021-032 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate a systematic study of fracton physics within the geometric
framework of Double Field Theory. We ascribe the immobility and large
degeneracy of the former to the non-Riemannian backgrounds of the latter, in
terms of generalised geodesics and infinite-dimensional isometries. A doubled
pure Yang-Mills or Maxwell theory reduces to an ordinary one coupled to a
strain tensor of elasticity theory, and thus rather remarkably provides a
unifying description of photons and phonons. Upon a general Double Field Theory
background, which consists of Riemannian and non-Riemannian subspaces, the dual
photon-phonon pair becomes fractonic over the non-Riemannian subspace. When the
elasticity displacement vector condenses, minimally coupled charged particles
acquire an effective mass even in the purely Riemannian case, yielding
predictions for polaron physics and time crystals. Furthermore, the immobility
of neutral particles along the non-Riemannian directions is lifted to a
saturation velocity for charged particles. Utilising the differential geometry
of Double Field Theory we also present curved spacetime extensions which
exhibit general covariance.
| [
{
"created": "Mon, 15 Nov 2021 17:52:24 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2022 08:31:31 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Aug 2022 04:15:15 GMT",
"version": "v3"
}
] | 2022-09-08 | [
[
"Angus",
"Stephen",
""
],
[
"Kim",
"Minkyoo",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | We initiate a systematic study of fracton physics within the geometric framework of Double Field Theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds of the latter, in terms of generalised geodesics and infinite-dimensional isometries. A doubled pure Yang-Mills or Maxwell theory reduces to an ordinary one coupled to a strain tensor of elasticity theory, and thus rather remarkably provides a unifying description of photons and phonons. Upon a general Double Field Theory background, which consists of Riemannian and non-Riemannian subspaces, the dual photon-phonon pair becomes fractonic over the non-Riemannian subspace. When the elasticity displacement vector condenses, minimally coupled charged particles acquire an effective mass even in the purely Riemannian case, yielding predictions for polaron physics and time crystals. Furthermore, the immobility of neutral particles along the non-Riemannian directions is lifted to a saturation velocity for charged particles. Utilising the differential geometry of Double Field Theory we also present curved spacetime extensions which exhibit general covariance. |
hep-th/9811155 | Koenraad Schalm | Francisco Gonzalez-Rey, Inyong Park, Koenraad Schalm | A note on four-point functions of conformal operators in N=4 Super-Yang
Mills | 4 pages, 7 eps-figs, LaTeX. Typos corrected, refs added | Phys.Lett. B448 (1999) 37-40 | 10.1016/S0370-2693(99)00017-9 | ITP-SB-98-65 | hep-th | null | We find that the first-order correction to the free-field result for the
four-point function of the conformal operator $\tr(\phi^i\phi^j)$ is
nonvanishing and survives in the limit $N_c \rar \infty$.
| [
{
"created": "Mon, 16 Nov 1998 23:06:29 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 1998 20:52:32 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gonzalez-Rey",
"Francisco",
""
],
[
"Park",
"Inyong",
""
],
[
"Schalm",
"Koenraad",
""
]
] | We find that the first-order correction to the free-field result for the four-point function of the conformal operator $\tr(\phi^i\phi^j)$ is nonvanishing and survives in the limit $N_c \rar \infty$. |
0911.1207 | Saharian | A. A. Saharian | Topological Casimir effect in nanotubes and nanoloopes | 5 pages, 1 figure, Contribution to Proceedings of QFEXT09, 21-25
September 2009, Oklahoma, USA | null | 10.1142/9789814289931_0059 | null | hep-th cond-mat.mes-hall quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Casimir effect is investigated in cylindrical and toroidal carbon
nanotubes within the framework of the Dirac-like model for the electronic
states. The topological Casimir energy is positive for metallic cylindrical
nanotubes and is negative for semiconducting ones. The toroidal
compactification of a cylindrical nanotube along its axis increases the Casimir
energy for metallic-type (periodic) boundary conditions along its axis and
decreases the Casimir energy for the semiconducting-type compactifications. For
finite length metallic nanotubes the Casimir forces acting on the tube edges
are always attractive, whereas for semiconducting-type ones they are attractive
for small lengths of the nanotube and repulsive for large lengths.
| [
{
"created": "Fri, 6 Nov 2009 09:48:46 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Saharian",
"A. A.",
""
]
] | The Casimir effect is investigated in cylindrical and toroidal carbon nanotubes within the framework of the Dirac-like model for the electronic states. The topological Casimir energy is positive for metallic cylindrical nanotubes and is negative for semiconducting ones. The toroidal compactification of a cylindrical nanotube along its axis increases the Casimir energy for metallic-type (periodic) boundary conditions along its axis and decreases the Casimir energy for the semiconducting-type compactifications. For finite length metallic nanotubes the Casimir forces acting on the tube edges are always attractive, whereas for semiconducting-type ones they are attractive for small lengths of the nanotube and repulsive for large lengths. |
2008.05541 | Alberto Faraggi | Alejandra Castro, Alberto Faraggi and Israel Osorio | A note on the $\mathcal{N}=2$ super-$\mathcal{W}_3$ holographic
dictionary | 42 pages, 4 tables | JHEP 12 (2020) 177 | 10.1007/JHEP12(2020)177 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a long-overdue companion paper to arXiv:1512.00073. We study the
relation between $sl(3|2)$ Chern-Simons supergravity on AdS$_3$ and
two-dimensional CFT's with $\mathcal{N}=2$ super-$\mathcal{W}_3$ symmetry.
Specifically, we carry out a complete analysis of asymptotic symmetries in a
basis that makes the superconformal structure transparent, allowing us to
establish the precise dictionary between currents and transformation parameters
in the bulk and their boundary counterparts. We also discuss the incorporation
of sources and display in full detail the corresponding holographic Ward
identities. By imposing suitable hermiticity conditions on the CFT currents, we
identify the superalgebra $su(2,1|1,1)$ as the appropriate real form of
$sl(3|2)$ in Lorentzian signature. We take the opportunity to review some of
the properties of the $\mathcal{N}=2$ super-$\mathcal{W}_3$ conformal algebra,
including its multiplet structure, OPE's and spectral flow invariance,
correcting some minor typos present in the literature.
| [
{
"created": "Wed, 12 Aug 2020 19:22:42 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 18:30:14 GMT",
"version": "v2"
}
] | 2021-01-21 | [
[
"Castro",
"Alejandra",
""
],
[
"Faraggi",
"Alberto",
""
],
[
"Osorio",
"Israel",
""
]
] | This is a long-overdue companion paper to arXiv:1512.00073. We study the relation between $sl(3|2)$ Chern-Simons supergravity on AdS$_3$ and two-dimensional CFT's with $\mathcal{N}=2$ super-$\mathcal{W}_3$ symmetry. Specifically, we carry out a complete analysis of asymptotic symmetries in a basis that makes the superconformal structure transparent, allowing us to establish the precise dictionary between currents and transformation parameters in the bulk and their boundary counterparts. We also discuss the incorporation of sources and display in full detail the corresponding holographic Ward identities. By imposing suitable hermiticity conditions on the CFT currents, we identify the superalgebra $su(2,1|1,1)$ as the appropriate real form of $sl(3|2)$ in Lorentzian signature. We take the opportunity to review some of the properties of the $\mathcal{N}=2$ super-$\mathcal{W}_3$ conformal algebra, including its multiplet structure, OPE's and spectral flow invariance, correcting some minor typos present in the literature. |
1508.07248 | Ricardo Landim | Ricardo C. G. Landim | Holographic dark energy from minimal supergravity | 7 pages, typos corrected, accepted for publication in IJMPD | Int.J.Mod.Phys. D Vol. 25, No. 4 (2016) 1650050 | 10.1142/S0218271816500504 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We embed models of holographic dark energy coupled to dark matter in minimal
supergravity plus matter, with one chiral superfield. We analyze two cases. The
first one has the Hubble radius as the infrared cutoff and the interaction
between the two fluids is proportional to the energy density of the dark
energy. The second case has the future event horizon as infrared cutoff while
the interaction is proportional to the energy density of both components of the
dark sector.
| [
{
"created": "Fri, 28 Aug 2015 15:50:41 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2015 21:33:50 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Feb 2016 21:11:10 GMT",
"version": "v3"
}
] | 2016-02-22 | [
[
"Landim",
"Ricardo C. G.",
""
]
] | We embed models of holographic dark energy coupled to dark matter in minimal supergravity plus matter, with one chiral superfield. We analyze two cases. The first one has the Hubble radius as the infrared cutoff and the interaction between the two fluids is proportional to the energy density of the dark energy. The second case has the future event horizon as infrared cutoff while the interaction is proportional to the energy density of both components of the dark sector. |
hep-th/9402016 | Ioannis Bakas | I. Bakas | O(2,2) Transformations and the String Geroch Group | Latex, 26p., CERN-TH.7144/94 | Nucl.Phys. B428 (1994) 374-398 | 10.1016/0550-3213(94)90205-4 | null | hep-th | null | The 1--loop string background equations with axion and dilaton fields are
shown to be integrable in four dimensions in the presence of two commuting
Killing symmetries and $\delta c = 0$. Then, in analogy with reduced gravity,
there is an infinite group that acts on the space of solutions and generates
non--trivial string backgrounds from flat space. The usual $O(2,2)$ and
$S$--duality transformations are just special cases of the string Geroch group,
which is infinitesimally identified with the $O(2,2)$ current algebra. We also
find an additional $Z_{2}$ symmetry interchanging the field content of the
dimensionally reduced string equations. The method for constructing
multi--soliton solutions on a given string background is briefly discussed.
| [
{
"created": "Thu, 3 Feb 1994 15:23:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bakas",
"I.",
""
]
] | The 1--loop string background equations with axion and dilaton fields are shown to be integrable in four dimensions in the presence of two commuting Killing symmetries and $\delta c = 0$. Then, in analogy with reduced gravity, there is an infinite group that acts on the space of solutions and generates non--trivial string backgrounds from flat space. The usual $O(2,2)$ and $S$--duality transformations are just special cases of the string Geroch group, which is infinitesimally identified with the $O(2,2)$ current algebra. We also find an additional $Z_{2}$ symmetry interchanging the field content of the dimensionally reduced string equations. The method for constructing multi--soliton solutions on a given string background is briefly discussed. |
2406.02670 | Lorenzo Mansi | Craig Lawrie and Lorenzo Mansi | The Higgs Branch of 6d (1,0) SCFTs & LSTs with DE-type SUSY Enhancement | 64 pages, 20 figures, 6 tables | null | null | DESY-24-079 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We detail the Higgs branches of 6d $(1,0)$ superconformal field theories
(SCFTs) and little string theories (LSTs) that exhibit supersymmetry-enhancing
Higgs branch renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs of
type DE. Generically, such theories are geometrically engineered in F-theory
via a configuration of $(-2)$-curves, arranged in an (affine) DE-type Dynkin
diagram, and supporting special unitary gauge algebras; this describes the
effective field theory on the tensor branch of the SCFT. For the Higgsable to
D-type $(2,0)$ SCFTs/LSTs, there generically also exists a Type IIA brane
description, involving a Neveu--Schwarz orientifold plane, which allows for the
derivation of a magnetic quiver for the Higgs branch. These are 3d
$\mathcal{N}=4$ unitary-orthosymplectic quivers whose Coulomb branch is
isomorphic to the Higgs branch of the 6d theories. From this magnetic quiver,
together with an extended quiver subtraction algorithm that we explain, the
foliation structure of the Higgs branch as a symplectic singularity is
unveiled. For this class of 6d SCFTs, we observe a simple rule, which we refer
to as "slice subtraction," to read off the transverse slice in the foliation
from the tensor branch. Based on this slice subtraction observation, we
conjecture the transverse slices in the Higgsable to E-type $(2,0)$ Hasse
diagram, where the SCFTs lack any known magnetic quiver for their Higgs
branches.
| [
{
"created": "Tue, 4 Jun 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-06-06 | [
[
"Lawrie",
"Craig",
""
],
[
"Mansi",
"Lorenzo",
""
]
] | We detail the Higgs branches of 6d $(1,0)$ superconformal field theories (SCFTs) and little string theories (LSTs) that exhibit supersymmetry-enhancing Higgs branch renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs of type DE. Generically, such theories are geometrically engineered in F-theory via a configuration of $(-2)$-curves, arranged in an (affine) DE-type Dynkin diagram, and supporting special unitary gauge algebras; this describes the effective field theory on the tensor branch of the SCFT. For the Higgsable to D-type $(2,0)$ SCFTs/LSTs, there generically also exists a Type IIA brane description, involving a Neveu--Schwarz orientifold plane, which allows for the derivation of a magnetic quiver for the Higgs branch. These are 3d $\mathcal{N}=4$ unitary-orthosymplectic quivers whose Coulomb branch is isomorphic to the Higgs branch of the 6d theories. From this magnetic quiver, together with an extended quiver subtraction algorithm that we explain, the foliation structure of the Higgs branch as a symplectic singularity is unveiled. For this class of 6d SCFTs, we observe a simple rule, which we refer to as "slice subtraction," to read off the transverse slice in the foliation from the tensor branch. Based on this slice subtraction observation, we conjecture the transverse slices in the Higgsable to E-type $(2,0)$ Hasse diagram, where the SCFTs lack any known magnetic quiver for their Higgs branches. |
1006.5291 | Tomohisa Takimi | Chien-Ho Chen, Kazuyuki Furuuchi, Pei-Ming Ho, Tomohisa Takimi | More on the Nambu-Poisson M5-brane Theory: Scaling limit, background
independence and an all order solution to the Seiberg-Witten map | expanded explanations, minor corrections and typos corrected | JHEP 1010:100,2010 | 10.1007/JHEP10(2010)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our investigation on the Nambu-Poisson description of M5-brane in
a large constant C-field background (NP M5-brane theory) constructed in
Refs.[1, 2]. In this paper, the low energy limit where the NP M5-brane theory
is applicable is clarified. The background independence of the NP M5-brane
theory is made manifest using the variables in the BLG model of multiple
M2-branes. An all order solution to the Seiberg-Witten map is also constructed.
| [
{
"created": "Mon, 28 Jun 2010 08:49:45 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 2010 03:56:55 GMT",
"version": "v2"
}
] | 2010-11-09 | [
[
"Chen",
"Chien-Ho",
""
],
[
"Furuuchi",
"Kazuyuki",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Takimi",
"Tomohisa",
""
]
] | We continue our investigation on the Nambu-Poisson description of M5-brane in a large constant C-field background (NP M5-brane theory) constructed in Refs.[1, 2]. In this paper, the low energy limit where the NP M5-brane theory is applicable is clarified. The background independence of the NP M5-brane theory is made manifest using the variables in the BLG model of multiple M2-branes. An all order solution to the Seiberg-Witten map is also constructed. |
1107.1602 | W. Drechsler | Wolfgang Drechsler | Weyl Invariant Standard Model and its Symmetry Breaking | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A standard model is formulated in a Weyl space, $W_4$, yielding a Weyl
covariant dynamics of massless chiral Dirac fermion fields for leptons and
quarks as well as the gauge fields involved for the groups D(1)\,(Weyl),
$U(1)_Y{\times} SU(2)_W$\,(electroweak), $SU(3)_c$\,(colour),
SO(3,1)\,(gravity) and SO(4,1)\,(strong interaction, symmetry breaking). The
dynamics is based on a gauge and Weyl invariant Lagrangean density ${\cal L}$.
Gravitation is included from the beginning as the gauge aspect of the Lorentz
group which is here extended in the hadronic sector of the model to the ten
parameter SO(4,1) de Sitter group. A part of the dynamics is, as usual, a
scalar isospinor field $\phi$ being a section on a bundle related to the
electroweak gauge group and to symmetry breaking. In parallel to $\phi$ on the
leptonic side a section $\tilde\xi^a$ on the hadronic side is considered as
part of the dynamics, governing the symmetry breaking $SO(4,1)\longrightarrow
SO(3,1)$ and recovering gravitation in the symmetry breaking limit outside the
regions in space-time where strong interactions persist. Besides spin, isospin
and helicity the Weyl weights determine the form of the contributions of fields
in ${\cal L}$. Of particular interest is the appearance of a current-current
self-interaction of quark fields allowed by the Weyl weight changing the debate
about quark masses. In a second step the D(1)-Weyl symmetry is explicitly
broken and a universal mass scale is established through the mass of the
$\phi$-field appearing in the symmetry breaking Lagrangean ${\cal L}_B$. The
Weyl symmetry breaking is governed by the relation $D_\mu \Phi^2{=}0$, where
$\Phi$ is the norm of $\phi$. After D(1) symmetry breaking the masses of the
weak bosons and of the electron appear on the scene through the energy-momentum
tensor of the $\phi$-field.
| [
{
"created": "Fri, 8 Jul 2011 10:46:30 GMT",
"version": "v1"
}
] | 2011-07-11 | [
[
"Drechsler",
"Wolfgang",
""
]
] | A standard model is formulated in a Weyl space, $W_4$, yielding a Weyl covariant dynamics of massless chiral Dirac fermion fields for leptons and quarks as well as the gauge fields involved for the groups D(1)\,(Weyl), $U(1)_Y{\times} SU(2)_W$\,(electroweak), $SU(3)_c$\,(colour), SO(3,1)\,(gravity) and SO(4,1)\,(strong interaction, symmetry breaking). The dynamics is based on a gauge and Weyl invariant Lagrangean density ${\cal L}$. Gravitation is included from the beginning as the gauge aspect of the Lorentz group which is here extended in the hadronic sector of the model to the ten parameter SO(4,1) de Sitter group. A part of the dynamics is, as usual, a scalar isospinor field $\phi$ being a section on a bundle related to the electroweak gauge group and to symmetry breaking. In parallel to $\phi$ on the leptonic side a section $\tilde\xi^a$ on the hadronic side is considered as part of the dynamics, governing the symmetry breaking $SO(4,1)\longrightarrow SO(3,1)$ and recovering gravitation in the symmetry breaking limit outside the regions in space-time where strong interactions persist. Besides spin, isospin and helicity the Weyl weights determine the form of the contributions of fields in ${\cal L}$. Of particular interest is the appearance of a current-current self-interaction of quark fields allowed by the Weyl weight changing the debate about quark masses. In a second step the D(1)-Weyl symmetry is explicitly broken and a universal mass scale is established through the mass of the $\phi$-field appearing in the symmetry breaking Lagrangean ${\cal L}_B$. The Weyl symmetry breaking is governed by the relation $D_\mu \Phi^2{=}0$, where $\Phi$ is the norm of $\phi$. After D(1) symmetry breaking the masses of the weak bosons and of the electron appear on the scene through the energy-momentum tensor of the $\phi$-field. |
2005.08512 | Ren-Hong Fang | Cheng Zhang, Ren-Hong Fang, Jian-Hua Gao, De-Fu Hou | Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field | 30 pages, 7 figures | Phys. Rev. D 102, 056004 (2020) | 10.1103/PhysRevD.102.056004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the grand partition function of the system of chiral fermions in
a uniform magnetic field from Landau levels, through which all thermodynamic
quantities can be obtained. Taking use of Abel-Plana formula, these
thermodynamic quantities can be expanded as series with respect to a
dimensionless variable $b=2eB/T^{2}$. We find that the series expansions of
energy density, pressure, magnetization intensity and magnetic susceptibility
contain a singular term with $\ln b^{2}$, while particle number density,
entropy density and heat capacity are power series of $b^{2}$. The asymptotic
behaviors of these thermodynamic quantities in extreme conditions are also
discussed.
| [
{
"created": "Mon, 18 May 2020 08:02:31 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2020 00:46:48 GMT",
"version": "v2"
}
] | 2020-09-16 | [
[
"Zhang",
"Cheng",
""
],
[
"Fang",
"Ren-Hong",
""
],
[
"Gao",
"Jian-Hua",
""
],
[
"Hou",
"De-Fu",
""
]
] | We construct the grand partition function of the system of chiral fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Taking use of Abel-Plana formula, these thermodynamic quantities can be expanded as series with respect to a dimensionless variable $b=2eB/T^{2}$. We find that the series expansions of energy density, pressure, magnetization intensity and magnetic susceptibility contain a singular term with $\ln b^{2}$, while particle number density, entropy density and heat capacity are power series of $b^{2}$. The asymptotic behaviors of these thermodynamic quantities in extreme conditions are also discussed. |
1812.11130 | Leron Borsten | L. Borsten, M. J. Duff and A. Marrani | Twin conformal field theories | 28 pages. Updated to match published version. References and brief
comments added | JHEP03(2019)112 | 10.1007/JHEP03(2019)112 | DIAS-STP-18-19, IMPERIAL-TP-2018-MJD-04, DFPD/2018/TH/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric theories with the same bosonic content but different fermions,
aka \emph{twins}, were thought to exist only for supergravity. Here we show
that pairs of super conformal field theories, for example exotic
$\mathcal{N}=3$ and $\mathcal{N}=1$ theories in $D=4$ spacetime dimensions, can
also be twin. We provide evidence from three different perspectives: (i) a twin
S-fold construction, (ii) a double-copy argument and (iii) by identifying
candidate twin holographically dual gauged supergravity theories. Furthermore,
twin W-supergravity theories then follow by applying the double-copy
prescription to exotic super conformal field theories.
| [
{
"created": "Fri, 28 Dec 2018 17:49:15 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2019 09:42:56 GMT",
"version": "v2"
}
] | 2019-04-02 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Marrani",
"A.",
""
]
] | Supersymmetric theories with the same bosonic content but different fermions, aka \emph{twins}, were thought to exist only for supergravity. Here we show that pairs of super conformal field theories, for example exotic $\mathcal{N}=3$ and $\mathcal{N}=1$ theories in $D=4$ spacetime dimensions, can also be twin. We provide evidence from three different perspectives: (i) a twin S-fold construction, (ii) a double-copy argument and (iii) by identifying candidate twin holographically dual gauged supergravity theories. Furthermore, twin W-supergravity theories then follow by applying the double-copy prescription to exotic super conformal field theories. |
hep-th/0602099 | Jeremy Michelson | Sumit R. Das, Jeremy Michelson | Matrix Membrane Big Bangs and D-brane Production | 17 pages REVTeX and AMSLaTeX with 1 black and white figure. v2: Typos
corrected and references added. A gratuitously colour version of the figure
can downloaded from http://www.pa.uky.edu/~jeremy/colour_figs/ | Phys.Rev.D73:126006,2006 | 10.1103/PhysRevD.73.126006 | UK/06-02 | hep-th | null | We construct Matrix Membrane theory in pp wave backgrounds that have a null
linear dilaton in Type IIB string theory. Such backgrounds can serve as toy
models of big bang cosmologies. At late times only abelian degrees of freedom
survive, and if the Kaluza-Klein modes along one of the directions of the
membrane decouple, standard perturbative strings emerge. Near the ``big bang'',
non-abelian configurations of fuzzy ellipsoids are present, as in the Type IIA
theories. A generic configuration of these shrink to zero volume at late times.
However, the Kaluza Klein modes (which can be thought of as states of (p,q)
strings in the original IIB theory) can be generically produced in pairs in
both pp wave and flat backgrounds in the presence of time dependence. Indeed,
if we require that at late times the theory evolves to the perturbative string
vacuum, these modes must be prepared in a squeezed state with a thermal
distribution at early times.
| [
{
"created": "Fri, 10 Feb 2006 19:59:10 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2006 14:54:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Das",
"Sumit R.",
""
],
[
"Michelson",
"Jeremy",
""
]
] | We construct Matrix Membrane theory in pp wave backgrounds that have a null linear dilaton in Type IIB string theory. Such backgrounds can serve as toy models of big bang cosmologies. At late times only abelian degrees of freedom survive, and if the Kaluza-Klein modes along one of the directions of the membrane decouple, standard perturbative strings emerge. Near the ``big bang'', non-abelian configurations of fuzzy ellipsoids are present, as in the Type IIA theories. A generic configuration of these shrink to zero volume at late times. However, the Kaluza Klein modes (which can be thought of as states of (p,q) strings in the original IIB theory) can be generically produced in pairs in both pp wave and flat backgrounds in the presence of time dependence. Indeed, if we require that at late times the theory evolves to the perturbative string vacuum, these modes must be prepared in a squeezed state with a thermal distribution at early times. |
1612.05563 | Ernesto Contreras | Ernesto Contreras, Cayetano Di Bartolo and Lorenzo Leal | A monoidal representation for linearized gravity | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an alternative representation for linear quantum gravity. It is
based on the use of a structure that bears some resemblance to the Abelian loop
representation used in electromagnetism but with the difference that space of
extended object on which waves functions take values have a structure of
commutative monoid instead of Abelian group. The generator of duality of the
theory is realized in this representation and a geometrical interpretation is
discussed.
| [
{
"created": "Fri, 16 Dec 2016 17:24:56 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2017 21:48:21 GMT",
"version": "v2"
}
] | 2019-04-05 | [
[
"Contreras",
"Ernesto",
""
],
[
"Di Bartolo",
"Cayetano",
""
],
[
"Leal",
"Lorenzo",
""
]
] | We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in electromagnetism but with the difference that space of extended object on which waves functions take values have a structure of commutative monoid instead of Abelian group. The generator of duality of the theory is realized in this representation and a geometrical interpretation is discussed. |
1607.00764 | David Weir | Mark Hindmarsh, Kari Rummukainen, David J. Weir | New solutions for non-Abelian cosmic strings | 6 pages, 2 figures. We dedicate this paper to Tom Kibble; v2: some
references added, typos fixed, phrasing changed in places; accepted by PRL | Phys. Rev. Lett. 117, 251601 (2016) | 10.1103/PhysRevLett.117.251601 | HIP-2016-21/TH | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of classical vortex solutions in a non-Abelian gauge
theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to
$Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed
beads; there are two charges of monopole and two degenerate string solutions.
The strings break an accidental discrete $Z_2$ symmetry of the theory,
explaining the degeneracy of the ground state. Further symmetries of the model,
not previously appreciated, emerge when the masses of the two adjoint Higgs
fields are degenerate. The breaking of the enlarged discrete symmetry gives
rise to additional string solutions and splits the monopoles into four types of
`semipole': kink solutions that interpolate between the string solutions,
classified by a complex gauge invariant magnetic flux and a $Z_4$ charge. At
special values of the Higgs self-couplings, the accidental symmetry broken by
the string is continuous, giving rise to supercurrents on the strings. The
SU(2) theory can be embedded in a wide class of Grand Unified Theories,
including SO(10). We argue that semipoles and supercurrents are generic on GUT
strings.
| [
{
"created": "Mon, 4 Jul 2016 08:23:44 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2016 15:46:02 GMT",
"version": "v2"
}
] | 2016-12-15 | [
[
"Hindmarsh",
"Mark",
""
],
[
"Rummukainen",
"Kari",
""
],
[
"Weir",
"David J.",
""
]
] | We study the properties of classical vortex solutions in a non-Abelian gauge theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to $Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed beads; there are two charges of monopole and two degenerate string solutions. The strings break an accidental discrete $Z_2$ symmetry of the theory, explaining the degeneracy of the ground state. Further symmetries of the model, not previously appreciated, emerge when the masses of the two adjoint Higgs fields are degenerate. The breaking of the enlarged discrete symmetry gives rise to additional string solutions and splits the monopoles into four types of `semipole': kink solutions that interpolate between the string solutions, classified by a complex gauge invariant magnetic flux and a $Z_4$ charge. At special values of the Higgs self-couplings, the accidental symmetry broken by the string is continuous, giving rise to supercurrents on the strings. The SU(2) theory can be embedded in a wide class of Grand Unified Theories, including SO(10). We argue that semipoles and supercurrents are generic on GUT strings. |
hep-th/0009198 | Massimo Porrati | M. Porrati and A. Starinets (Department of Physics NYU) | Holographic Duals of 4D Field Theories | LaTeX, 11 pages | null | null | NYU-TH/00/09/09 | hep-th | null | We discuss various aspect of the holographic correspondence between 5-d
gravity and 4-d field theory. First of all, we describe deformations of N=4
Super Yang-Mills (SYM) theories in terms of 5-d gauged supergravity. In
particular, we describe N=0 and N=1 deformations of N=4 SYM to confining
theories. Secondly, we describe recent proposals for the holographic dual of
the renormalization group and for 4-d central charges associated to it. We
conclude with a ``holographic'' proof of the Goldstone theorem.
| [
{
"created": "Mon, 25 Sep 2000 20:24:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Porrati",
"M.",
"",
"Department of Physics NYU"
],
[
"Starinets",
"A.",
"",
"Department of Physics NYU"
]
] | We discuss various aspect of the holographic correspondence between 5-d gravity and 4-d field theory. First of all, we describe deformations of N=4 Super Yang-Mills (SYM) theories in terms of 5-d gauged supergravity. In particular, we describe N=0 and N=1 deformations of N=4 SYM to confining theories. Secondly, we describe recent proposals for the holographic dual of the renormalization group and for 4-d central charges associated to it. We conclude with a ``holographic'' proof of the Goldstone theorem. |
hep-th/0412253 | D. Levkov | D. Levkov, S. Sibiryakov | Real-Time Instantons and Suppression of Collision-Induced Tunneling | 5 pages, 1 figure, JETP Letters style | JETP Lett. 81 (2005) 53-57; Pisma Zh.Eksp.Teor.Fiz. 81 (2005)
60-64 | 10.1134/1.1887914 | null | hep-th cond-mat.str-el hep-ph quant-ph | null | We consider tunneling processes in QFT induced by collisions of elementary
particles. We propose a semiclassical method for estimating the probability of
these processes in the limit of very high collision energy. As an illustration,
we evaluate the maximum probability of induced tunneling between different
vacua in a (1+1)-dimensional scalar model with boundary interaction.
| [
{
"created": "Tue, 21 Dec 2004 15:34:23 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Levkov",
"D.",
""
],
[
"Sibiryakov",
"S.",
""
]
] | We consider tunneling processes in QFT induced by collisions of elementary particles. We propose a semiclassical method for estimating the probability of these processes in the limit of very high collision energy. As an illustration, we evaluate the maximum probability of induced tunneling between different vacua in a (1+1)-dimensional scalar model with boundary interaction. |
hep-th/0308030 | Takao Suyama | Takao Suyama | On decay of Bulk Tachyons | 14 pages, references added | null | null | KEK-TH-909 | hep-th | null | We investigate a decay of a bulk tachyon with a Kaluza-Klein momentum in
bosonic and Type 0 string theories compactified on S^1. Potential for the
tachyon has a (local) minimum. A decay of the tachyon would lead the original
theory to a strongly coupled theory. An endpoint of the decay would exist if
the strong coupling limit exists and it is a stable theory.
| [
{
"created": "Tue, 5 Aug 2003 06:57:43 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2003 10:12:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Suyama",
"Takao",
""
]
] | We investigate a decay of a bulk tachyon with a Kaluza-Klein momentum in bosonic and Type 0 string theories compactified on S^1. Potential for the tachyon has a (local) minimum. A decay of the tachyon would lead the original theory to a strongly coupled theory. An endpoint of the decay would exist if the strong coupling limit exists and it is a stable theory. |
1306.3999 | Terrence Torres | Tom Banks, Willy Fischler, T.J. Torres, Carroll L. Wainwright | Holographic Fluctuations from Unitary de Sitter Invariant Field Theory | 36 pages, 3 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study of inflationary fluctuations in Holographic Space Time
models of inflation. We argue that the holographic theory of inflation provides
a physical context for what is often called dS/CFT. The holographic theory is a
quantum theory which, in the limit of a large number of e-foldings, gives rise
to a field theory on $S^3$, which is the representation space for a unitary
representation of SO(1,4). This is not a conventional CFT, and we do not know
the detailed non-perturbative axioms for correlation functions. However, the
two- and three-point functions are completely determined by symmetry, and
coincide up to a few constants (really functions of the background FRW
geometry) with those calculated in a single field slow-roll inflation model.
The only significant deviation from slow roll is in the tensor fluctuations. We
predict zero tensor tilt and roughly equal weight for all three conformally
invariant tensor 3-point functions (unless parity is imposed as a symmetry). We
discuss the relation between our results and those of Maldacena, McFadden,
Skenderis, and others. Current data can be explained in terms of symmetries and
a few general principles, and is consistent with a large class of models,
including HST.
| [
{
"created": "Mon, 17 Jun 2013 20:05:00 GMT",
"version": "v1"
}
] | 2013-06-19 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
],
[
"Torres",
"T. J.",
""
],
[
"Wainwright",
"Carroll L.",
""
]
] | We continue the study of inflationary fluctuations in Holographic Space Time models of inflation. We argue that the holographic theory of inflation provides a physical context for what is often called dS/CFT. The holographic theory is a quantum theory which, in the limit of a large number of e-foldings, gives rise to a field theory on $S^3$, which is the representation space for a unitary representation of SO(1,4). This is not a conventional CFT, and we do not know the detailed non-perturbative axioms for correlation functions. However, the two- and three-point functions are completely determined by symmetry, and coincide up to a few constants (really functions of the background FRW geometry) with those calculated in a single field slow-roll inflation model. The only significant deviation from slow roll is in the tensor fluctuations. We predict zero tensor tilt and roughly equal weight for all three conformally invariant tensor 3-point functions (unless parity is imposed as a symmetry). We discuss the relation between our results and those of Maldacena, McFadden, Skenderis, and others. Current data can be explained in terms of symmetries and a few general principles, and is consistent with a large class of models, including HST. |
hep-th/0409251 | Massimo Giovannini | Massimo Giovannini | Old ideas and new twists in string cosmology | 13 pages, 3 figures, Invited review (Third international Conference
on Frontier Science), Rome June 2004 | null | null | CERN-PH-TH/2004-172 | hep-th | null | Some of the phenomenological implications of string cosmological models are
reviewed, with particular attention to the spectra of the tensor, scalar and
vector modes of the geometry. A class of self-dual string cosmological models
is presented. These solutions provide an effective description of cold bounces,
where a phase of accelerated contraction smoothly evolves into an epoch of
decelerated Friedmann--Robertson--Walker expansion dominated by the dilaton.
Some of the general problems of the scenario (continuity of the perturbations,
reheating, dilaton stabilization,...) can be successfully discussed in this
framework.
| [
{
"created": "Fri, 24 Sep 2004 10:19:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Giovannini",
"Massimo",
""
]
] | Some of the phenomenological implications of string cosmological models are reviewed, with particular attention to the spectra of the tensor, scalar and vector modes of the geometry. A class of self-dual string cosmological models is presented. These solutions provide an effective description of cold bounces, where a phase of accelerated contraction smoothly evolves into an epoch of decelerated Friedmann--Robertson--Walker expansion dominated by the dilaton. Some of the general problems of the scenario (continuity of the perturbations, reheating, dilaton stabilization,...) can be successfully discussed in this framework. |
1604.00904 | Michele Cicoli | Michele Cicoli | Recent developments in string model-building and cosmology | 20 pages, invited contribution to the Proceedings of the 14th Marcel
Grossmann Meeting on General Relativity | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk I discuss recent developments in moduli stabilisation, SUSY
breaking and chiral D-brane models together with several interesting features
of cosmological models built in the framework of type IIB string
compactifications. I show that a non-trivial pre-inflationary dynamics can give
rise to a power loss at large angular scales for which there have been mounting
observational hints from both WMAP and Planck. I then describe different
stringy embeddings of inflationary models which yield large or small tensor
modes. I finally argue that reheating is generically driven by the decay of the
lightest modulus which can produce, together with Standard Model particles,
also non-thermal dark matter and light hidden sector degrees of freedom that
behave as dark radiation.
| [
{
"created": "Mon, 4 Apr 2016 15:17:44 GMT",
"version": "v1"
}
] | 2016-04-05 | [
[
"Cicoli",
"Michele",
""
]
] | In this talk I discuss recent developments in moduli stabilisation, SUSY breaking and chiral D-brane models together with several interesting features of cosmological models built in the framework of type IIB string compactifications. I show that a non-trivial pre-inflationary dynamics can give rise to a power loss at large angular scales for which there have been mounting observational hints from both WMAP and Planck. I then describe different stringy embeddings of inflationary models which yield large or small tensor modes. I finally argue that reheating is generically driven by the decay of the lightest modulus which can produce, together with Standard Model particles, also non-thermal dark matter and light hidden sector degrees of freedom that behave as dark radiation. |
hep-th/0609135 | Jeff Murugan | Alex Hamilton and Jeff Murugan | Giant Gravitons on Deformed pp-waves | 35 pages, 2 figures, uses JHEP3 class and youngtab style files | JHEP 0706:036,2007 | 10.1088/1126-6708/2007/06/036 | null | hep-th | null | The recently constructed Lunin-Maldacena deformation of $AdS_{5}\times S^{5}$
is known to support two inequivalent Penrose limits that lead to BPS pp-wave
geometries. In this note, we construct new giant graviton solutions on these
backgrounds. A detailed study of the spectra of small fluctuations about these
solutions reveals a remarkably rich structure. In particular, the giants that
we contruct fall into two classes, one of which appears to remain stable in the
Penrose limit independently of the strength of the deformation. The other class
of giants, while more difficult to treat analytically, seems to exhibit a shape
deformation not unlike the so-called "squashed giants" seen in the pp-wave with
a constant NS $B$-field turned on. Some consideration is also given to the
associated giant operators in the BMN limit of the dual ${\cal N}=1$ SYM gauge
theory.
| [
{
"created": "Tue, 19 Sep 2006 20:01:06 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Hamilton",
"Alex",
""
],
[
"Murugan",
"Jeff",
""
]
] | The recently constructed Lunin-Maldacena deformation of $AdS_{5}\times S^{5}$ is known to support two inequivalent Penrose limits that lead to BPS pp-wave geometries. In this note, we construct new giant graviton solutions on these backgrounds. A detailed study of the spectra of small fluctuations about these solutions reveals a remarkably rich structure. In particular, the giants that we contruct fall into two classes, one of which appears to remain stable in the Penrose limit independently of the strength of the deformation. The other class of giants, while more difficult to treat analytically, seems to exhibit a shape deformation not unlike the so-called "squashed giants" seen in the pp-wave with a constant NS $B$-field turned on. Some consideration is also given to the associated giant operators in the BMN limit of the dual ${\cal N}=1$ SYM gauge theory. |
1506.00991 | Vit Jakubsky | Francisco Correa, Vit Jakubsky, Mikhail S. Plyushchay | $PT$-symmetric invisible defects and confluent Darboux-Crum
transformations | published version | Phys. Rev. A 92, 023839 (2015) | 10.1103/PhysRevA.92.023839 | null | hep-th math-ph math.MP nlin.SI physics.optics quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that confluent Darboux-Crum transformations with emergent Jordan
states are an effective tool for the design of optical systems governed by the
Helmholtz equation under the paraxial approximation. The construction of
generic, asymptotically real and periodic, $PT$-symmetric systems with local
complex periodicity defects is discussed in detail. We show how the decay rate
of the defect is related with the energy of the bound state trapped by the
defect. In particular, the bound states in the continuum are confined by the
periodicity defects with power law decay. We show that these defects possess
complete invisibility; the wave functions of the system coincide asymptotically
with the wave functions of the undistorted setting. The general results are
illustrated with explicit examples of reflectionless models and systems with
one spectral gap. We show that the spectral properties of the studied models
are reflected by Lax-Novikov-type integrals of motion and associated
supersymmetric structures of bosonized and exotic nature.
| [
{
"created": "Tue, 2 Jun 2015 19:14:56 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 19:36:36 GMT",
"version": "v2"
}
] | 2015-09-02 | [
[
"Correa",
"Francisco",
""
],
[
"Jakubsky",
"Vit",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | We show that confluent Darboux-Crum transformations with emergent Jordan states are an effective tool for the design of optical systems governed by the Helmholtz equation under the paraxial approximation. The construction of generic, asymptotically real and periodic, $PT$-symmetric systems with local complex periodicity defects is discussed in detail. We show how the decay rate of the defect is related with the energy of the bound state trapped by the defect. In particular, the bound states in the continuum are confined by the periodicity defects with power law decay. We show that these defects possess complete invisibility; the wave functions of the system coincide asymptotically with the wave functions of the undistorted setting. The general results are illustrated with explicit examples of reflectionless models and systems with one spectral gap. We show that the spectral properties of the studied models are reflected by Lax-Novikov-type integrals of motion and associated supersymmetric structures of bosonized and exotic nature. |
2007.11658 | Shanming Ruan | Hong Zhe Chen, Zachary Fisher, Juan Hernandez, Robert C. Myers and
Shan-Ming Ruan | Evaporating Black Holes Coupled to a Thermal Bath | 77 pages, 14 figures; v2: corrected typos; added a simpler derivation
to QES; expanded discussion about critical temperature | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the doubly holographic model of [arXiv:1908.10996] in the situation
where a black hole in two-dimensional JT gravity theory is coupled to an
auxiliary bath system at arbitrary finite temperature. Depending on the initial
temperature of the black hole relative to the bath temperature, the black hole
can lose mass by emitting Hawking radiation, stay in equilibrium with the bath
or gain mass by absorbing thermal radiation from the bath. In all of these
scenarios, a unitary Page curve is obtained by applying the usual prescription
for holographic entanglement entropy and identifying the quantum extremal
surface for the generalized entropy, using both analytical and numeric
calculations. As the application of the entanglement wedge reconstruction, we
further investigate the reconstruction of the black hole interior from a
subsystem containing the Hawking radiation. We examine the roles of the Hawking
radiation and also the purification of the thermal bath in this reconstruction.
| [
{
"created": "Wed, 22 Jul 2020 20:21:48 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Aug 2020 19:11:33 GMT",
"version": "v2"
}
] | 2020-08-11 | [
[
"Chen",
"Hong Zhe",
""
],
[
"Fisher",
"Zachary",
""
],
[
"Hernandez",
"Juan",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Ruan",
"Shan-Ming",
""
]
] | We study the doubly holographic model of [arXiv:1908.10996] in the situation where a black hole in two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on the initial temperature of the black hole relative to the bath temperature, the black hole can lose mass by emitting Hawking radiation, stay in equilibrium with the bath or gain mass by absorbing thermal radiation from the bath. In all of these scenarios, a unitary Page curve is obtained by applying the usual prescription for holographic entanglement entropy and identifying the quantum extremal surface for the generalized entropy, using both analytical and numeric calculations. As the application of the entanglement wedge reconstruction, we further investigate the reconstruction of the black hole interior from a subsystem containing the Hawking radiation. We examine the roles of the Hawking radiation and also the purification of the thermal bath in this reconstruction. |
2003.05947 | Christoph Adam | C. Adam, D. Varela | Inflationary Twin Models | null | Phys. Rev. D 101 (2020) 063514 | 10.1103/PhysRevD.101.063514 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the concept of inflationary twin models, that is, a class of
generalized (kinetic or "K-inflation") field theories which lead exactly to the
same cosmological evolution during the inflationary period as a given standard
scalar field theory of inflation. The twin concept permits to introduce
generalized, K-inflation theories in a controlled manner, maintaining some
inflationary predictions unaltered. Further, this concept allows to extend
analytical tools like the slow-roll expansion to the realm of K-inflation
theories, facilitating their investigation. Twins of a standard scalar field
model of inflation still may result in different results for some inflationary
observables, because of their nontrivial scalar speed of sound. This implies
that non-standard twins may lead to completely viable models of inflation, even
if their standard twin is ruled out by observations. We provide some explicit
examples of this possibility, including the physical case of a
dilaton--Dirac-Born-Infeld theory.
| [
{
"created": "Thu, 12 Mar 2020 18:00:07 GMT",
"version": "v1"
}
] | 2020-03-25 | [
[
"Adam",
"C.",
""
],
[
"Varela",
"D.",
""
]
] | We introduce the concept of inflationary twin models, that is, a class of generalized (kinetic or "K-inflation") field theories which lead exactly to the same cosmological evolution during the inflationary period as a given standard scalar field theory of inflation. The twin concept permits to introduce generalized, K-inflation theories in a controlled manner, maintaining some inflationary predictions unaltered. Further, this concept allows to extend analytical tools like the slow-roll expansion to the realm of K-inflation theories, facilitating their investigation. Twins of a standard scalar field model of inflation still may result in different results for some inflationary observables, because of their nontrivial scalar speed of sound. This implies that non-standard twins may lead to completely viable models of inflation, even if their standard twin is ruled out by observations. We provide some explicit examples of this possibility, including the physical case of a dilaton--Dirac-Born-Infeld theory. |
hep-th/0210032 | Shinsuke Kawai | Shinsuke Kawai | Free-field realisation of boundary states and boundary correlation
functions of minimal models | 12 pages, 2 figures, revtex. v2: A subsection added. v3: Corrections
in normalisation. v4: Minor corrections | J.Phys.A36:6875-6893,2003 | 10.1088/0305-4470/36/24/321 | OUTP-2002-39P, HIP-2002-45/TH | hep-th cond-mat.stat-mech | null | We propose a general formalism to compute exact correlation functions for
Cardy's boundary states. Using the free-field construction of boundary states
and applying the Coulomb-gas technique, it is shown that charge-neutrality
conditions pick up particular linear combinations of conformal blocks. As an
example we study the critical Ising model with free and fixed boundary
conditions, and demonstrate that conventional results are reproduced. This
formalism thus directly associates algebraically constructed boundary states
with correlation functions which are in principle observable or numerically
calculable.
| [
{
"created": "Thu, 3 Oct 2002 18:37:59 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Feb 2003 11:16:26 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 2003 16:53:40 GMT",
"version": "v3"
},
{
"created": "Tue, 13 May 2003 12:57:52 GMT",
"version": "v4"
}
] | 2010-12-01 | [
[
"Kawai",
"Shinsuke",
""
]
] | We propose a general formalism to compute exact correlation functions for Cardy's boundary states. Using the free-field construction of boundary states and applying the Coulomb-gas technique, it is shown that charge-neutrality conditions pick up particular linear combinations of conformal blocks. As an example we study the critical Ising model with free and fixed boundary conditions, and demonstrate that conventional results are reproduced. This formalism thus directly associates algebraically constructed boundary states with correlation functions which are in principle observable or numerically calculable. |
hep-th/9705088 | Tim Morris | Jacek Generowicz, Chris Harvey-Fros and Tim R. Morris | C Function Representation of the Local Potential Approximation | 10 pages including one eps figure, uses harvmac and epsf; several
minor typos corrected --- to be published in Physics Letters B | Phys.Lett. B407 (1997) 27-32 | 10.1016/S0370-2693(97)00729-6 | null | hep-th | null | Within the Local Potential Approximation to Wilson's, or Polchinski's, exact
renormalization group, and for general spacetime dimension, we construct a
function, c, of the coupling constants; it has the property that (for unitary
theories) it decreases monotonically along flows, and is stationary only at
fixed points ---where it `counts degrees of freedom', i.e. is extensive,
counting one for each Gaussian scalar. Furthermore, by choosing restrictions to
some sub-manifold of coupling constant space, we arrive at a very promising
variational approximation method.
| [
{
"created": "Tue, 13 May 1997 17:15:08 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 1997 16:57:36 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Generowicz",
"Jacek",
""
],
[
"Harvey-Fros",
"Chris",
""
],
[
"Morris",
"Tim R.",
""
]
] | Within the Local Potential Approximation to Wilson's, or Polchinski's, exact renormalization group, and for general spacetime dimension, we construct a function, c, of the coupling constants; it has the property that (for unitary theories) it decreases monotonically along flows, and is stationary only at fixed points ---where it `counts degrees of freedom', i.e. is extensive, counting one for each Gaussian scalar. Furthermore, by choosing restrictions to some sub-manifold of coupling constant space, we arrive at a very promising variational approximation method. |
hep-th/9911020 | Armen Nersessian | A.Nersessian | Massless particles and the geometry of curves. Classical picture | 7 pages, Talk given at QFTHEP'99, Moscow, May 27-June 2, 1999 | null | null | null | hep-th | null | We analyze the possibility of description of D-dimensional massless particles
by the Lagrangians linear on world-line curvatures k_i,
{\cal S}=\sum_{i=1}^Nc_i\int k_i d{\tilde s}.
We show, that the nontrivial classical solutions of this model are given by
space-like curves with zero 2N-th curvature for N\leq[(D-2)/2]. Massless
spinning particles correspond to the curves with constant k_{N+a}/k_{N-a}
ratio.
It is shown that only the system with action {\cal S}=c\int k_N d{\tilde s}
leads to irreducible representation of Poincar\'e group. This system has
maximally possible number (N+1) of gauge degrees of freedom. Its classical
solutions obey the conditions k_{N+a}=k_{N-a}, a=1,..., N-1, while first N
curvatures k_i remain arbitrary. This solution is specified by coinciding N
weights of the massless representation of little Lorentz group, while the
remaining weights vanish.
| [
{
"created": "Wed, 3 Nov 1999 19:16:54 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Nersessian",
"A.",
""
]
] | We analyze the possibility of description of D-dimensional massless particles by the Lagrangians linear on world-line curvatures k_i, {\cal S}=\sum_{i=1}^Nc_i\int k_i d{\tilde s}. We show, that the nontrivial classical solutions of this model are given by space-like curves with zero 2N-th curvature for N\leq[(D-2)/2]. Massless spinning particles correspond to the curves with constant k_{N+a}/k_{N-a} ratio. It is shown that only the system with action {\cal S}=c\int k_N d{\tilde s} leads to irreducible representation of Poincar\'e group. This system has maximally possible number (N+1) of gauge degrees of freedom. Its classical solutions obey the conditions k_{N+a}=k_{N-a}, a=1,..., N-1, while first N curvatures k_i remain arbitrary. This solution is specified by coinciding N weights of the massless representation of little Lorentz group, while the remaining weights vanish. |
1512.06414 | Pinaki Banerjee | Pinaki Banerjee and B. Sathiapalan | Zero Temperature Dissipation and Holography | 23 pages, 1 figure, v2 : minor improvements of the text, one figure
added, accepted for publication in JHEP | JHEP 04 (2016) 089 | 10.1007/JHEP04(2016)089 | IMSC/2015/12/09 | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holographic techniques to study the zero-temperature limit of
dissipation for a Brownian particle moving in a strongly coupled CFT at finite
temperature in various space-time dimensions. The dissipative term in the
boundary theory for $\omega\to 0$, $T \to 0$ with $\omega / T$ held small and
fixed, does not match the same at $T=0$, $\omega \to 0$. Thus the $T\to 0$
limit is not smooth for $\omega < T$. This phenomenon appears to be related to
a confinement-deconfinement phase transition at $T=0$ in the field theory.
| [
{
"created": "Sun, 20 Dec 2015 18:04:27 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2016 20:29:33 GMT",
"version": "v2"
}
] | 2016-04-20 | [
[
"Banerjee",
"Pinaki",
""
],
[
"Sathiapalan",
"B.",
""
]
] | We use holographic techniques to study the zero-temperature limit of dissipation for a Brownian particle moving in a strongly coupled CFT at finite temperature in various space-time dimensions. The dissipative term in the boundary theory for $\omega\to 0$, $T \to 0$ with $\omega / T$ held small and fixed, does not match the same at $T=0$, $\omega \to 0$. Thus the $T\to 0$ limit is not smooth for $\omega < T$. This phenomenon appears to be related to a confinement-deconfinement phase transition at $T=0$ in the field theory. |
hep-th/9806016 | Chiara Nappi | Louise Dolan and Chiara R. Nappi | A Modular Invariant Partition Function for the Fivebrane | 27 pages. References added. To appear in Nuclear Physics B | Nucl.Phys.B530:683-700,1998 | 10.1016/S0550-3213(98)00537-9 | IASSNS-HEP-98/43 | hep-th | null | We compute an SL(6,Z) invariant partition function for the chiral two-form of
the M theory fivebrane compactified on the six-torus. From a manifestly SL(5,Z)
invariant formalism, we prove that the partition function has an additional
SL(2,Z) symmetry. The combination of these two symmetries ensures SL(6,Z)
invariance. Thus, whether or not a fully covariant Lagrangian is available, the
fivebrane on the six-torus has a consistent quantum theory.
| [
{
"created": "Tue, 2 Jun 1998 05:33:20 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 1998 20:49:46 GMT",
"version": "v2"
}
] | 2010-11-15 | [
[
"Dolan",
"Louise",
""
],
[
"Nappi",
"Chiara R.",
""
]
] | We compute an SL(6,Z) invariant partition function for the chiral two-form of the M theory fivebrane compactified on the six-torus. From a manifestly SL(5,Z) invariant formalism, we prove that the partition function has an additional SL(2,Z) symmetry. The combination of these two symmetries ensures SL(6,Z) invariance. Thus, whether or not a fully covariant Lagrangian is available, the fivebrane on the six-torus has a consistent quantum theory. |
1901.00655 | Alexsandro Mota | Rodolfo Casana, Andr\'e C. Santos, Claudio F. Farias and Alexsandro L.
Mota | Self-dual solitons in a generalized Chern-Simons baby Skyrme model | 13 pages Latex 2e, 15 eps figures | Phys. Rev. D 100, 045022 (2019) | 10.1103/PhysRevD.100.045022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have shown the existence of self-dual solitons in a type of generalized
Chern-Simons baby Skyrme model where the generalized function (depending only
in the Skyrme field) is coupled to the sigma-model term. The consistent
implementation of the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism requires
the generalizing function becomes the superpotential defining properly the
self-dual potential. Thus, we have obtained a topological energy lower-bound
(Bogomol'nyi bound) and the self-dual equations satisfied by the fields
saturating such a bound. The Bogomol'nyi bound being proportional to the
topological charge of the Skyrme field is quantized whereas the total magnetic
flux is not. Such as expected in a Chern-Simons model the total magnetic flux
and the total electrical charge are proportional to each other. Thus, by
considering the superpotential a well-behaved function in the whole target
space we have shown the existence of three types of self-dual solutions:
compacton solitons, soliton solutions whose tail decays following an
exponential-law $e^{-\alpha r^{2}}$ ($\alpha>0$), and solitons having a
power-law decay $r^{-\beta}$ ($\beta>0$). The profiles of the two last solitons
can exhibit a compactonlike behavior. The self-dual equations have been solved
numerically and we have depicted the soliton profiles, commenting on the main
characteristics exhibited by them.
| [
{
"created": "Thu, 3 Jan 2019 09:10:13 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Feb 2019 15:53:17 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Casana",
"Rodolfo",
""
],
[
"Santos",
"André C.",
""
],
[
"Farias",
"Claudio F.",
""
],
[
"Mota",
"Alexsandro L.",
""
]
] | We have shown the existence of self-dual solitons in a type of generalized Chern-Simons baby Skyrme model where the generalized function (depending only in the Skyrme field) is coupled to the sigma-model term. The consistent implementation of the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism requires the generalizing function becomes the superpotential defining properly the self-dual potential. Thus, we have obtained a topological energy lower-bound (Bogomol'nyi bound) and the self-dual equations satisfied by the fields saturating such a bound. The Bogomol'nyi bound being proportional to the topological charge of the Skyrme field is quantized whereas the total magnetic flux is not. Such as expected in a Chern-Simons model the total magnetic flux and the total electrical charge are proportional to each other. Thus, by considering the superpotential a well-behaved function in the whole target space we have shown the existence of three types of self-dual solutions: compacton solitons, soliton solutions whose tail decays following an exponential-law $e^{-\alpha r^{2}}$ ($\alpha>0$), and solitons having a power-law decay $r^{-\beta}$ ($\beta>0$). The profiles of the two last solitons can exhibit a compactonlike behavior. The self-dual equations have been solved numerically and we have depicted the soliton profiles, commenting on the main characteristics exhibited by them. |
hep-th/0212119 | Thomas Quella | Thomas Quella and Volker Schomerus | Asymmetric Cosets | 34 pages, LaTeX, 8 figures, 1 table, v2: references added, v3: typos
corrected | JHEP 0302 (2003) 030 | 10.1088/1126-6708/2003/02/030 | AEI-2002-091, SPhT-T02/173 | hep-th cond-mat | null | The aim of this work is to present a general theory of coset models G/H in
which different left and right actions of H on G are gauged. Our main results
include a formula for their modular invariant partition function, the
construction of a large set of boundary states and a general description of the
corresponding brane geometries. The paper concludes with some explicit
applications to the base of the conifold and to the time-dependent Nappi-Witten
background.
| [
{
"created": "Tue, 10 Dec 2002 20:15:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2003 14:29:54 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Apr 2003 14:44:25 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Quella",
"Thomas",
""
],
[
"Schomerus",
"Volker",
""
]
] | The aim of this work is to present a general theory of coset models G/H in which different left and right actions of H on G are gauged. Our main results include a formula for their modular invariant partition function, the construction of a large set of boundary states and a general description of the corresponding brane geometries. The paper concludes with some explicit applications to the base of the conifold and to the time-dependent Nappi-Witten background. |
1101.3320 | Daniel Baumann | Daniel Baumann, Leonardo Senatore, and Matias Zaldarriaga | Scale-Invariance and the Strong Coupling Problem | 17 pages + appendices, 3 figures; v2: typos fixed | null | 10.1088/1475-7516/2011/05/004 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effective theory of adiabatic fluctuations around arbitrary
Friedmann-Robertson-Walker backgrounds - both expanding and contracting -
allows for more than one way to obtain scale-invariant two-point correlations.
However, as we show in this paper, it is challenging to produce scale-invariant
fluctuations that are weakly coupled over the range of wavelengths accessible
to cosmological observations. In particular, requiring the background to be a
dynamical attractor, the curvature fluctuations are scale-invariant and weakly
coupled for at least 10 e-folds only if the background is close to de Sitter
space. In this case, the time-translation invariance of the background
guarantees time-independent n-point functions. For non-attractor solutions, any
predictions depend on assumptions about the evolution of the background even
when the perturbations are outside of the horizon. For the simplest such
scenario we identify the regions of the parameter space that avoid both
classical and quantum mechanical strong coupling problems. Finally, we present
extensions of our results to backgrounds in which higher-derivative terms play
a significant role.
| [
{
"created": "Mon, 17 Jan 2011 21:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2011 15:23:17 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Baumann",
"Daniel",
""
],
[
"Senatore",
"Leonardo",
""
],
[
"Zaldarriaga",
"Matias",
""
]
] | The effective theory of adiabatic fluctuations around arbitrary Friedmann-Robertson-Walker backgrounds - both expanding and contracting - allows for more than one way to obtain scale-invariant two-point correlations. However, as we show in this paper, it is challenging to produce scale-invariant fluctuations that are weakly coupled over the range of wavelengths accessible to cosmological observations. In particular, requiring the background to be a dynamical attractor, the curvature fluctuations are scale-invariant and weakly coupled for at least 10 e-folds only if the background is close to de Sitter space. In this case, the time-translation invariance of the background guarantees time-independent n-point functions. For non-attractor solutions, any predictions depend on assumptions about the evolution of the background even when the perturbations are outside of the horizon. For the simplest such scenario we identify the regions of the parameter space that avoid both classical and quantum mechanical strong coupling problems. Finally, we present extensions of our results to backgrounds in which higher-derivative terms play a significant role. |
hep-th/0203205 | Ashok Das | Ashok Das and Alexander Mitov | A systematic study of the radion in the compact Randall-Sundrum model | revtex, 17 pages | Phys.Rev.D66:045030,2002 | 10.1103/PhysRevD.66.045030 | null | hep-th | null | We systematically study the question of identification and consistent
inclusion of the radion, within the Lagrangian approach, in a two brane
Randall-Sundrum model. Exploiting the symmetry properties of the theory, we
show how the radion can be identified unambiguously and give the action to all
orders in the radion field and the metric. Using the background field method,
we expand the theory to quadratic orders in the fields. We show that the most
general classical solutions, for the induced metric on the branes in the case
of a constant radion and a factorizable 4D metric, correspond to Einstein
spaces. We discuss extensively the diagonalization of the quadratic action.
Furthermore, we obtain the 4-dimensional effective theory from this and study
the question of the spectrum as well as the couplings in these theories.
| [
{
"created": "Thu, 21 Mar 2002 18:59:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Das",
"Ashok",
""
],
[
"Mitov",
"Alexander",
""
]
] | We systematically study the question of identification and consistent inclusion of the radion, within the Lagrangian approach, in a two brane Randall-Sundrum model. Exploiting the symmetry properties of the theory, we show how the radion can be identified unambiguously and give the action to all orders in the radion field and the metric. Using the background field method, we expand the theory to quadratic orders in the fields. We show that the most general classical solutions, for the induced metric on the branes in the case of a constant radion and a factorizable 4D metric, correspond to Einstein spaces. We discuss extensively the diagonalization of the quadratic action. Furthermore, we obtain the 4-dimensional effective theory from this and study the question of the spectrum as well as the couplings in these theories. |
1103.0648 | Davide Forcella | Davide Forcella, Alberto Zaffaroni | Non-supersymmetric CS-matter theories with known AdS duals | 16 pages; Contribution prepared for the AHEP special issue on
"Computational Algebraic Geometry in String and Gauge Theory", citations
added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider three dimensional conformal field theories living on a stack of N
anti-M2 branes at the tip of eight-dimensional supersymmetric cones. The
corresponding supergravity solution is obtained by changing sign to the
four-form in the Freund-Rubin solution representing M2 branes ("skew-whiffing"
transformation) and it is known to be stable. The existence of these non
supersymmetric, stable field theories, at least in the large N limit, is a
peculiarity of the AdS4/CFT3 correspondence with respect to the usual
AdS5/CFT4, and it is worthwhile to study it. We analyze in detail the KK
spectrum of the skew-whiffed solution associated with S^7/Z_k and we speculate
on the natural field content for a candidate non-supersymmetric dual field
theory.
| [
{
"created": "Thu, 3 Mar 2011 11:01:23 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2011 11:29:39 GMT",
"version": "v2"
}
] | 2011-05-19 | [
[
"Forcella",
"Davide",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We consider three dimensional conformal field theories living on a stack of N anti-M2 branes at the tip of eight-dimensional supersymmetric cones. The corresponding supergravity solution is obtained by changing sign to the four-form in the Freund-Rubin solution representing M2 branes ("skew-whiffing" transformation) and it is known to be stable. The existence of these non supersymmetric, stable field theories, at least in the large N limit, is a peculiarity of the AdS4/CFT3 correspondence with respect to the usual AdS5/CFT4, and it is worthwhile to study it. We analyze in detail the KK spectrum of the skew-whiffed solution associated with S^7/Z_k and we speculate on the natural field content for a candidate non-supersymmetric dual field theory. |
2011.03295 | Leonid Bork Dr | L.V. Bork, R.M. Iakhibbaev, N.B. Muzhichkov, E.S. Sozinov | Amplitudes in fishnet theories in diverse dimensions and Box ladder
diagrams | 45 pages, 13 figures; v3: minor changes, multiple typos corrected,
reference added | null | 10.1007/JHEP02(2021)185 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate properties of four point colour ordered scattering amplitudes
in D=6 fishnet CFT. We show that such amplitudes are related via very simple
relation to their D=4 counterparts considered previously in the literature.
Exploiting this relation we obtain closed expression for such amplitudes and
investigate its behaviour at weak and strong coupling. As by product of this
investigation we also obtain generating function for on-shell D=6 Box ladder
diagrams with l rungs.
| [
{
"created": "Fri, 6 Nov 2020 11:36:31 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2020 18:30:36 GMT",
"version": "v2"
},
{
"created": "Mon, 17 May 2021 10:38:47 GMT",
"version": "v3"
}
] | 2021-05-18 | [
[
"Bork",
"L. V.",
""
],
[
"Iakhibbaev",
"R. M.",
""
],
[
"Muzhichkov",
"N. B.",
""
],
[
"Sozinov",
"E. S.",
""
]
] | We investigate properties of four point colour ordered scattering amplitudes in D=6 fishnet CFT. We show that such amplitudes are related via very simple relation to their D=4 counterparts considered previously in the literature. Exploiting this relation we obtain closed expression for such amplitudes and investigate its behaviour at weak and strong coupling. As by product of this investigation we also obtain generating function for on-shell D=6 Box ladder diagrams with l rungs. |
hep-th/0212170 | Denjoe O'Connor | Julieta Medina and Denjoe O'Connor | Scalar Field Theory on Fuzzy S^4 | 16 pages, LaTeX | JHEP 0311 (2003) 051 | 10.1088/1126-6708/2003/11/051 | null | hep-th | null | Scalar fields are studied on fuzzy $S^4$ and a solution is found for the
elimination of the unwanted degrees of freedom that occur in the model. The
resulting theory can be interpreted as a Kaluza-Klein reduction of CP^3 to S^4
in the fuzzy context.
| [
{
"created": "Sun, 15 Dec 2002 15:17:07 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Medina",
"Julieta",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | Scalar fields are studied on fuzzy $S^4$ and a solution is found for the elimination of the unwanted degrees of freedom that occur in the model. The resulting theory can be interpreted as a Kaluza-Klein reduction of CP^3 to S^4 in the fuzzy context. |
hep-th/0204044 | Arvind Narayan Vaidya | Arvind Narayan Vaidya and Luiz Eduardo Silva Souza (Rio de Janeiro
Federal University) | S-matrix for spin 1/2 particle in a Coulomb + Scalar potential | Latex 10 pages no figures | J.Phys.A35:6489-6494,2002 | 10.1088/0305-4470/35/30/319 | null | hep-th | null | The S-matrix for a spin 1/2 particle in the presence of a potential which is
the sum of the Coulomb potential V_c=-A_1/r and a Lorentz scalar potential V_s=
-A_2/r is calculated
| [
{
"created": "Thu, 4 Apr 2002 15:06:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Vaidya",
"Arvind Narayan",
"",
"Rio de Janeiro\n Federal University"
],
[
"Souza",
"Luiz Eduardo Silva",
"",
"Rio de Janeiro\n Federal University"
]
] | The S-matrix for a spin 1/2 particle in the presence of a potential which is the sum of the Coulomb potential V_c=-A_1/r and a Lorentz scalar potential V_s= -A_2/r is calculated |
hep-th/0111112 | Katsumi Itoh | Yuji Igarashi, Katsumi Itoh and Hiroto So | Realization of Global Symmetries in the Wilsonian Renormalization Group | 11 pages | Phys.Lett. B526 (2002) 164-172 | 10.1016/S0370-2693(01)01461-7 | NIIG-DP-01-5 | hep-th | null | We present a method to solve the master equation for the Wilsonian action in
the antifield formalism. This is based on a representation theory for cutoff
dependent global symmetries along the Wilsonian renormalization group (RG)
flow. For the chiral symmetry, the master equation for the free theory yields a
continuum version of the Ginsparg-Wilson relation. We construct chiral
invariant operators describing fermionic self-interactions. The use of
canonically transformed variables is shown to simplify the underlying algebraic
structure of the symmetry. We also give another non-trivial example, a
realization of SU(2) vector symmetry. Our formalism may be used for a
non-perturbative truncation of the Wilsonian action preserving global
symmetries.
| [
{
"created": "Tue, 13 Nov 2001 03:21:50 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Igarashi",
"Yuji",
""
],
[
"Itoh",
"Katsumi",
""
],
[
"So",
"Hiroto",
""
]
] | We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For the chiral symmetry, the master equation for the free theory yields a continuum version of the Ginsparg-Wilson relation. We construct chiral invariant operators describing fermionic self-interactions. The use of canonically transformed variables is shown to simplify the underlying algebraic structure of the symmetry. We also give another non-trivial example, a realization of SU(2) vector symmetry. Our formalism may be used for a non-perturbative truncation of the Wilsonian action preserving global symmetries. |
2406.09165 | Timothy Adamo | Tim Adamo, Giuseppe Bogna, Lionel Mason, Atul Sharma | Gluon scattering on the self-dual dyon | 24+6 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The computation of scattering amplitudes in the presence of non-trivial
background gauge fields is an important but extremely difficult problem in
quantum field theory. In even the simplest backgrounds, obtaining explicit
formulae for processes involving more than a few external particles is often
intractable. Recently, it has been shown that remarkable progress can be made
by considering background fields which are chiral in nature. In this paper, we
obtain a compact expression for the tree-level, maximal helicity violating
(MHV) scattering amplitude of an arbitrary number of gluons in the background
of a self-dual dyon. This is a Cartan-valued, complex gauge field sourced by a
point particle with equal electric and magnetic charges, and can be viewed as
the self-dual version of a Coulomb field. Twistor theory enables us to manifest
the underlying integrability of the self-dual dyon, trivializing the
perturbative expansion in the MHV sector. The formula contains a single
position-space integral over a spatial slice, which can be evaluated explicitly
in simple cases. As an application of the formula, we show that the holomorphic
collinear splitting functions of gluons in the self-dual dyon background are
un-deformed from a trivial background, meaning that holomorphic celestial OPE
coefficients and the associated chiral algebra are similarly un-deformed. We
also comment on extensions of our MHV formula to the full tree-level gluon
S-matrix.
| [
{
"created": "Thu, 13 Jun 2024 14:27:40 GMT",
"version": "v1"
}
] | 2024-06-14 | [
[
"Adamo",
"Tim",
""
],
[
"Bogna",
"Giuseppe",
""
],
[
"Mason",
"Lionel",
""
],
[
"Sharma",
"Atul",
""
]
] | The computation of scattering amplitudes in the presence of non-trivial background gauge fields is an important but extremely difficult problem in quantum field theory. In even the simplest backgrounds, obtaining explicit formulae for processes involving more than a few external particles is often intractable. Recently, it has been shown that remarkable progress can be made by considering background fields which are chiral in nature. In this paper, we obtain a compact expression for the tree-level, maximal helicity violating (MHV) scattering amplitude of an arbitrary number of gluons in the background of a self-dual dyon. This is a Cartan-valued, complex gauge field sourced by a point particle with equal electric and magnetic charges, and can be viewed as the self-dual version of a Coulomb field. Twistor theory enables us to manifest the underlying integrability of the self-dual dyon, trivializing the perturbative expansion in the MHV sector. The formula contains a single position-space integral over a spatial slice, which can be evaluated explicitly in simple cases. As an application of the formula, we show that the holomorphic collinear splitting functions of gluons in the self-dual dyon background are un-deformed from a trivial background, meaning that holomorphic celestial OPE coefficients and the associated chiral algebra are similarly un-deformed. We also comment on extensions of our MHV formula to the full tree-level gluon S-matrix. |
1512.02209 | Nicolas Boulanger | Roberto Bonezzi, Nicolas Boulanger, Ergin Sezgin and Per Sundell | An Action for Matter Coupled Higher Spin Gravity in Three Dimensions | 33 + 1 pages, no figure. Minor typos corrected | null | 10.1007/JHEP05(2016)003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev's
matter coupled higher spin gravity in three dimensions. The action is
formulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an open
manifold whose boundary contains spacetime and ${\cal Z}_2$ is a noncommutative
twistor space. We examine various consistent truncations to models of BF type
in ${\cal X}_4$ and ${\cal Z}_2$ with B$^2$ terms and central elements. They
are obtained by integrating out the matter fields in the presence of a vacuum
expectation value $\nu\in \mathbb{R}$ for the zero-form master field. For
$\nu=0$, we obtain a model on ${\cal X}_4$ containing Blencowe's action and a
model on ${\cal Z}_2$ containing the Prokushkin--Segal--Vasiliev action. For
generic $\nu$ (including $\nu=0$), we propose an alternative model on ${\cal
X}_4$ with gauge fields in the Weyl algebra of Wigner's deformed oscillator
algebra and Lagrange multipliers in the algebra of operators acting in the Fock
representation space of the deformed oscillators.
| [
{
"created": "Mon, 7 Dec 2015 20:54:44 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2016 11:16:41 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Bonezzi",
"Roberto",
""
],
[
"Boulanger",
"Nicolas",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Sundell",
"Per",
""
]
] | We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev's matter coupled higher spin gravity in three dimensions. The action is formulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an open manifold whose boundary contains spacetime and ${\cal Z}_2$ is a noncommutative twistor space. We examine various consistent truncations to models of BF type in ${\cal X}_4$ and ${\cal Z}_2$ with B$^2$ terms and central elements. They are obtained by integrating out the matter fields in the presence of a vacuum expectation value $\nu\in \mathbb{R}$ for the zero-form master field. For $\nu=0$, we obtain a model on ${\cal X}_4$ containing Blencowe's action and a model on ${\cal Z}_2$ containing the Prokushkin--Segal--Vasiliev action. For generic $\nu$ (including $\nu=0$), we propose an alternative model on ${\cal X}_4$ with gauge fields in the Weyl algebra of Wigner's deformed oscillator algebra and Lagrange multipliers in the algebra of operators acting in the Fock representation space of the deformed oscillators. |
hep-th/9701007 | Herbert Neuberger | Y. Kikukawa (1), R. Narayanan (2), H. Neuberger (1) ((1) Rutgers, (2)
U. of Washington) | Finite size corrections in two dimensional gauge theories and a
quantitative chiral test of the overlap | 11 pages, 1 figure, TeX, epsf | Phys.Lett. B399 (1997) 105-112 | 10.1016/S0370-2693(97)00276-1 | RU-97-01 | hep-th hep-lat | null | An argument is presented for a certain universality of finite size
corrections in two dimensional gauge theories. In the abelian case a direct
calculation is carried out for a particular chiral model. The analytical result
confirms the above universality and that the 't Hooft vertex previously
measured using the overlap smoothly approaches the correct continuum limit
within statistical errors.
| [
{
"created": "Fri, 3 Jan 1997 14:54:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kikukawa",
"Y.",
""
],
[
"Narayanan",
"R.",
""
],
[
"Neuberger",
"H.",
""
]
] | An argument is presented for a certain universality of finite size corrections in two dimensional gauge theories. In the abelian case a direct calculation is carried out for a particular chiral model. The analytical result confirms the above universality and that the 't Hooft vertex previously measured using the overlap smoothly approaches the correct continuum limit within statistical errors. |
hep-th/0205241 | Cho Inyong | Inyong Cho (ICN/Unam) | O(4) texture with a cosmological constant | 25 pages, revtex, 6 eps figures | Phys.Rev. D66 (2002) 045028 | 10.1103/PhysRevD.66.045028 | null | hep-th astro-ph gr-qc hep-ph | null | We investigate O(4) textures in a background with a positive cosmological
constant. We find static solutions which co-move with the expanding background.
There exists a solution in which the scalar field is regular at the horizon.
This solution has a noninteger winding number smaller than one. There also
exist solutions in which scalar-field derivatives are singular at the horizon.
Such solutions can complete one winding within the horizon. If the winding
number is larger than some critical value, static solutions including the
regular one are unstable under perturbations.
| [
{
"created": "Thu, 23 May 2002 12:32:48 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cho",
"Inyong",
"",
"ICN/Unam"
]
] | We investigate O(4) textures in a background with a positive cosmological constant. We find static solutions which co-move with the expanding background. There exists a solution in which the scalar field is regular at the horizon. This solution has a noninteger winding number smaller than one. There also exist solutions in which scalar-field derivatives are singular at the horizon. Such solutions can complete one winding within the horizon. If the winding number is larger than some critical value, static solutions including the regular one are unstable under perturbations. |
hep-th/9406152 | null | M.V.Terentiev | Dual Supergravity in D=10, N=1 Superspace with Tree-Level Superstring
Corrections | 11 pages, report 55-94 ITEP | Phys.Lett. B325 (1994) 96-102 | 10.1016/0370-2693(94)90077-9 | null | hep-th | null | The dual version of the D=10 N=1 supergravity (SUGRA) is considered in the
superspace approach. The superstring (anomaly compensating) corrections are
described by the 3-form superfield $A_{abc}$ . The complete set of dynamical
equations for the $A$-field and for physical fields of the theory are
presented. The solution of the $A$-field equations as a finite order polynomial
in terms of curvature and graviphoton superfields is given. It makes possible
to incorporate some of the superstring corrections in the dual supergravity in
the explicit, supersymmetric and closed form.
| [
{
"created": "Wed, 22 Jun 1994 15:02:56 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Terentiev",
"M. V.",
""
]
] | The dual version of the D=10 N=1 supergravity (SUGRA) is considered in the superspace approach. The superstring (anomaly compensating) corrections are described by the 3-form superfield $A_{abc}$ . The complete set of dynamical equations for the $A$-field and for physical fields of the theory are presented. The solution of the $A$-field equations as a finite order polynomial in terms of curvature and graviphoton superfields is given. It makes possible to incorporate some of the superstring corrections in the dual supergravity in the explicit, supersymmetric and closed form. |
1604.06891 | Da-Wei Pang | Keun-Young Kim, Chao Niu and Da-Wei Pang | Universal corner contributions to entanglement negativity | 28 pages, 5 figures | null | 10.1016/j.nuclphysb.2016.07.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been realised that corners in entangling surfaces can induce new
universal contributions to the entanglement entropy and R\'enyi entropy. In
this paper we study universal corner contributions to entanglement negativity
in three- and four-dimensional CFTs using both field theory and holographic
techniques. We focus on the quantity $\chi$ defined by the ratio of the
universal part of the entanglement negativity over that of the entanglement
entropy, which may characterise the amount of distillable entanglement. We find
that for most of the examples $\chi$ takes bigger values for singular
entangling regions, which may suggest increase in distillable entanglement.
However, there also exist counterexamples where distillable entanglement
decreases for singular surfaces. We also explore the behaviour of $\chi$ as the
coupling varies and observe that for singular entangling surfaces, the amount
of distillable entanglement is mostly largest for free theories, while
counterexample exists for free Dirac fermion in three dimensions. For
holographic CFTs described by higher derivative gravity, $\chi$ may increase or
decrease, depending on the sign of the relevant parameters. Our results may
reveal a more profound connection between geometry and distillable
entanglement.
| [
{
"created": "Sat, 23 Apr 2016 10:52:49 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Kim",
"Keun-Young",
""
],
[
"Niu",
"Chao",
""
],
[
"Pang",
"Da-Wei",
""
]
] | It has been realised that corners in entangling surfaces can induce new universal contributions to the entanglement entropy and R\'enyi entropy. In this paper we study universal corner contributions to entanglement negativity in three- and four-dimensional CFTs using both field theory and holographic techniques. We focus on the quantity $\chi$ defined by the ratio of the universal part of the entanglement negativity over that of the entanglement entropy, which may characterise the amount of distillable entanglement. We find that for most of the examples $\chi$ takes bigger values for singular entangling regions, which may suggest increase in distillable entanglement. However, there also exist counterexamples where distillable entanglement decreases for singular surfaces. We also explore the behaviour of $\chi$ as the coupling varies and observe that for singular entangling surfaces, the amount of distillable entanglement is mostly largest for free theories, while counterexample exists for free Dirac fermion in three dimensions. For holographic CFTs described by higher derivative gravity, $\chi$ may increase or decrease, depending on the sign of the relevant parameters. Our results may reveal a more profound connection between geometry and distillable entanglement. |
hep-th/0206219 | Bob Holdom | Bob Holdom | On the fate of singularities and horizons in higher derivative gravity | 15 pages, 3 figures, improvements and references added, to appear in
PRD | Phys.Rev.D66:084010,2002 | 10.1103/PhysRevD.66.084010 | UTPT-02-09 | hep-th gr-qc hep-ph | null | We study static spherically symmetric solutions of high derivative gravity
theories, with 4, 6, 8 and even 10 derivatives. Except for isolated points in
the space of theories with more than 4 derivatives, only solutions that are
nonsingular near the origin are found. But these solutions cannot smooth out
the Schwarzschild singularity without the appearance of a second horizon. This
conundrum, and the possibility of singularities at finite r, leads us to study
numerical solutions of theories truncated at four derivatives. Rather than two
horizons we are led to the suggestion that the original horizon is replaced by
a rapid nonsingular transition from weak to strong gravity. We also consider
this possibility for the de Sitter horizon.
| [
{
"created": "Mon, 24 Jun 2002 19:25:09 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2002 15:57:25 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Holdom",
"Bob",
""
]
] | We study static spherically symmetric solutions of high derivative gravity theories, with 4, 6, 8 and even 10 derivatives. Except for isolated points in the space of theories with more than 4 derivatives, only solutions that are nonsingular near the origin are found. But these solutions cannot smooth out the Schwarzschild singularity without the appearance of a second horizon. This conundrum, and the possibility of singularities at finite r, leads us to study numerical solutions of theories truncated at four derivatives. Rather than two horizons we are led to the suggestion that the original horizon is replaced by a rapid nonsingular transition from weak to strong gravity. We also consider this possibility for the de Sitter horizon. |
1404.0010 | Thomas Creutzig | Hamid Afshar, Thomas Creutzig, Daniel Grumiller, Yasuaki Hikida and
Peter B. Ronne | Unitary W-algebras and three-dimensional higher spin gravities with spin
one symmetry | 23 pages | JHEP 06 (2014) 063 | 10.1007/JHEP06(2014)063 | TUW-14-04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate whether there are unitary families of W-algebras with spin one
fields in the natural example of the Feigin-Semikhatov W^(2)_n-algebra. This
algebra is conjecturally a quantum Hamiltonian reduction corresponding to a
non-principal nilpotent element. We conjecture that this algebra admits a
unitary real form for even n. Our main result is that this conjecture is
consistent with the known part of the operator product algebra, and especially
it is true for n=2 and n=4. Moreover, we find certain ranges of allowed levels
where a positive definite inner product is possible. We also find a unitary
conformal field theory for every even n at the special level k+n=(n+1)/(n-1).
At these points, the W^(2)_n-algebra is nothing but a compactified free boson.
This family of W-algebras admits an 't Hooft limit that is similar to the
original minimal model 't Hooft limit. Further, in the case of n=4, we
reproduce the algebra from the higher spin gravity point of view. In general,
gravity computations allow us to reproduce some leading coefficients of the
operator product.
| [
{
"created": "Mon, 31 Mar 2014 20:00:05 GMT",
"version": "v1"
}
] | 2014-06-18 | [
[
"Afshar",
"Hamid",
""
],
[
"Creutzig",
"Thomas",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Ronne",
"Peter B.",
""
]
] | We investigate whether there are unitary families of W-algebras with spin one fields in the natural example of the Feigin-Semikhatov W^(2)_n-algebra. This algebra is conjecturally a quantum Hamiltonian reduction corresponding to a non-principal nilpotent element. We conjecture that this algebra admits a unitary real form for even n. Our main result is that this conjecture is consistent with the known part of the operator product algebra, and especially it is true for n=2 and n=4. Moreover, we find certain ranges of allowed levels where a positive definite inner product is possible. We also find a unitary conformal field theory for every even n at the special level k+n=(n+1)/(n-1). At these points, the W^(2)_n-algebra is nothing but a compactified free boson. This family of W-algebras admits an 't Hooft limit that is similar to the original minimal model 't Hooft limit. Further, in the case of n=4, we reproduce the algebra from the higher spin gravity point of view. In general, gravity computations allow us to reproduce some leading coefficients of the operator product. |
2312.10751 | Xiao-Shuai Wang | Xiao-Shuai Wang, Jie-qiang Wu | An Observable in Classical Pure AdS3 Gravity: the Twist along a Geodesic | 82 pages, 9 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider a little-studied observable in classical pure AdS3
gravity: the twist along a geodesic. The motivation is that the twist only
supports on the geodesic so may be a candidate element in the center of the
algebra in either entanglement wedge associated to the geodesic. We study the
properties of the twist and get the following results. First, we get the
system's evolution generated by the twist, which exhibits a relative shift
along the geodesic. Second, we show that the twist commutes with the length of
the same geodesic, which supports the proposal that the twist is a candidate
element in the center.
| [
{
"created": "Sun, 17 Dec 2023 15:56:18 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2024 06:02:22 GMT",
"version": "v2"
}
] | 2024-04-16 | [
[
"Wang",
"Xiao-Shuai",
""
],
[
"Wu",
"Jie-qiang",
""
]
] | In this paper, we consider a little-studied observable in classical pure AdS3 gravity: the twist along a geodesic. The motivation is that the twist only supports on the geodesic so may be a candidate element in the center of the algebra in either entanglement wedge associated to the geodesic. We study the properties of the twist and get the following results. First, we get the system's evolution generated by the twist, which exhibits a relative shift along the geodesic. Second, we show that the twist commutes with the length of the same geodesic, which supports the proposal that the twist is a candidate element in the center. |
hep-th/0503015 | S. Weinzierl | Christian Schwinn and Stefan Weinzierl | Scalar diagrammatic rules for Born amplitudes in QCD | 20 pages, references added | JHEP0505:006,2005 | 10.1088/1126-6708/2005/05/006 | null | hep-th hep-ph | null | We show that all Born amplitudes in QCD can be calculated from scalar
propagators and a set of three- and four-valent vertices. In particular, our
approach includes amplitudes with any number of quark pairs. The quarks may be
massless or massive. The proof of the formalism is given entirely within
quantum field theory.
| [
{
"created": "Wed, 2 Mar 2005 13:54:43 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 10:27:14 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Schwinn",
"Christian",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | We show that all Born amplitudes in QCD can be calculated from scalar propagators and a set of three- and four-valent vertices. In particular, our approach includes amplitudes with any number of quark pairs. The quarks may be massless or massive. The proof of the formalism is given entirely within quantum field theory. |
hep-th/9709138 | Gukov Sergei Gennodievich | S.Gukov (Princeton U.) | Seiberg-Witten Solution from Matrix Theory | 19 pages, LaTeX, no figures | null | null | PUPT-1722, ITEP-TH-42/97 | hep-th | null | As another evidence for the matrix Discrete Light Cone formulation of M
theory, we show how general integrable Hamiltonian systems emerge from BPS
bound states of k longitudinal fivebranes. Such configurations preserve eight
supercharges and by chain of dualities can be related to the solution of N=2
four-dimensional gauge theories. Underlying Hitchin systems on the bare
spectral curve with k singular points arise from the Matrix theory
compactification on the dual curve.
| [
{
"created": "Thu, 18 Sep 1997 22:56:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gukov",
"S.",
"",
"Princeton U."
]
] | As another evidence for the matrix Discrete Light Cone formulation of M theory, we show how general integrable Hamiltonian systems emerge from BPS bound states of k longitudinal fivebranes. Such configurations preserve eight supercharges and by chain of dualities can be related to the solution of N=2 four-dimensional gauge theories. Underlying Hitchin systems on the bare spectral curve with k singular points arise from the Matrix theory compactification on the dual curve. |
hep-th/9502154 | null | V. I. Man'ko, G. Marmo, and F. Zaccaria | q-NONLINEARITY, DEFORMATIONS AND PLANCK DISTRIBUTION | 21 pages, LATEX | null | null | Naples University Preprint INFN-IV-49/94, DSF-T-49/94 | hep-th | null | q-deformed nonlinear field equations are constructed including Klein-Gordon
and Maxwell equations. The q-deformation is interpreted as mathematical
structure describing specific nonlinearity for which frequency of vibration
exponentially depends on the energy
| [
{
"created": "Mon, 27 Feb 1995 17:23:37 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Man'ko",
"V. I.",
""
],
[
"Marmo",
"G.",
""
],
[
"Zaccaria",
"F.",
""
]
] | q-deformed nonlinear field equations are constructed including Klein-Gordon and Maxwell equations. The q-deformation is interpreted as mathematical structure describing specific nonlinearity for which frequency of vibration exponentially depends on the energy |
hep-th/9912207 | Ulrika Magnea | U. Magnea | Three-dimensional QCD in the adjoint representation and random matrix
theory | LaTeX, 19 pages. Minor corrections, added comments, to appear on
Phys. Rev. D | Phys.Rev. D62 (2000) 016005 | 10.1103/PhysRevD.62.016005 | DFTT 70/99 | hep-th | null | In this paper we complete the derivations of finite volume partition
functions for QCD using random matrix theories by calculating the effective
low-energy partition function for three-dimensional QCD in the adjoint
representation from a random matrix theory with the same global symmetries. As
expected, this case corresponds to Dyson index $\beta =4$, that is, the Dirac
operator can be written in terms of real quaternions. After discussing the
issue of defining Majorana fermions in Euclidean space, the actual matrix model
calculation turns out to be simple. We find that the symmetry breaking pattern
is $O(2N_f) \to O(N_f) \times O(N_f)$, as expected from the correspondence
between symmetric (super)spaces and random matrix universality classes found by
Zirnbauer. We also derive the first Leutwyler--Smilga sum rule.
| [
{
"created": "Tue, 21 Dec 1999 17:13:21 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2000 10:37:38 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Sep 2000 14:30:20 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Magnea",
"U.",
""
]
] | In this paper we complete the derivations of finite volume partition functions for QCD using random matrix theories by calculating the effective low-energy partition function for three-dimensional QCD in the adjoint representation from a random matrix theory with the same global symmetries. As expected, this case corresponds to Dyson index $\beta =4$, that is, the Dirac operator can be written in terms of real quaternions. After discussing the issue of defining Majorana fermions in Euclidean space, the actual matrix model calculation turns out to be simple. We find that the symmetry breaking pattern is $O(2N_f) \to O(N_f) \times O(N_f)$, as expected from the correspondence between symmetric (super)spaces and random matrix universality classes found by Zirnbauer. We also derive the first Leutwyler--Smilga sum rule. |
hep-th/9303099 | null | Lev Rozansky | A Large k Asymptotics of Witten's Invariant of Seifert Manifolds | 51 pages (Some changes are made to the Discussion section. A surgery
formula for perturbative corrections to the contribution of the trivial
connection is suggested.) | Commun.Math.Phys.171:279-322,1995 | 10.1007/BF02099272 | UTTG-06-93 | hep-th math.QA | null | We calculate a large $k$ asymptotic expansion of the exact surgery formula
for Witten's $SU(2)$ invariant of Seifert manifolds. The contributions of all
flat connections are identified. An agreement with the 1-loop formula is
checked. A contribution of the irreducible connections appears to contain only
a finite number of terms in the asymptotic series. A 2-loop correction to the
contribution of the trivial connection is found to be proportional to Casson's
invariant.
| [
{
"created": "Wed, 17 Mar 1993 22:13:45 GMT",
"version": "v1"
},
{
"created": "Sun, 23 May 1993 23:12:26 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Oct 1993 15:30:59 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Oct 1993 19:35:15 GMT",
"version": "v4"
}
] | 2010-11-01 | [
[
"Rozansky",
"Lev",
""
]
] | We calculate a large $k$ asymptotic expansion of the exact surgery formula for Witten's $SU(2)$ invariant of Seifert manifolds. The contributions of all flat connections are identified. An agreement with the 1-loop formula is checked. A contribution of the irreducible connections appears to contain only a finite number of terms in the asymptotic series. A 2-loop correction to the contribution of the trivial connection is found to be proportional to Casson's invariant. |
2207.00408 | Henry Lin | Henry W. Lin, Juan Maldacena, Liza Rozenberg, Jieru Shan | Looking at supersymmetric black holes for a very long time | 61 pages, 19 figures; v2: fixed typos, expanded comments on random
matrix behavior of projected operators, added Appendix K, v3: fixed minus
signs, v4: minor improvements | SciPost Phys. 14, 128 (2023) | 10.21468/SciPostPhys.14.5.128 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study correlation functions for extremal supersymmetric black holes. It is
necessary to take into account the strongly coupled nature of the boundary
supergraviton mode. We consider the case with ${\cal N}=2$ supercharges which
is the minimal amount of supersymmetry needed to give a large ground state
degeneracy, separated from the continuum. Using the exact solution for this
theory we derive formulas for the two point function and we also give integral
expressions for any $n$-point correlator. These correlators are time
independent at large times and approach constant values that depend on the
masses and couplings of the bulk theory. We also explain that in the
non-supersymmetric case, the correlators develop a universal time dependence at
long times. This paper is the longer companion paper of arXiv:2207.00407.
| [
{
"created": "Fri, 1 Jul 2022 13:38:06 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Aug 2022 16:34:53 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Dec 2022 04:13:55 GMT",
"version": "v3"
},
{
"created": "Sun, 12 Mar 2023 02:59:56 GMT",
"version": "v4"
}
] | 2023-05-24 | [
[
"Lin",
"Henry W.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Rozenberg",
"Liza",
""
],
[
"Shan",
"Jieru",
""
]
] | We study correlation functions for extremal supersymmetric black holes. It is necessary to take into account the strongly coupled nature of the boundary supergraviton mode. We consider the case with ${\cal N}=2$ supercharges which is the minimal amount of supersymmetry needed to give a large ground state degeneracy, separated from the continuum. Using the exact solution for this theory we derive formulas for the two point function and we also give integral expressions for any $n$-point correlator. These correlators are time independent at large times and approach constant values that depend on the masses and couplings of the bulk theory. We also explain that in the non-supersymmetric case, the correlators develop a universal time dependence at long times. This paper is the longer companion paper of arXiv:2207.00407. |
1103.3829 | Kei-Ichi Kondo | Kei-Ichi Kondo | A low-energy effective Yang-Mills theory for quark and gluon confinement | 5 pages, no figures; accepted for publication in Physical Review D
(Rapid Communication) | null | 10.1103/PhysRevD.84.061702 | CHIBA-EP-188 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a gauge-invariant low-energy effective model of the Yang-Mills
theory. We find that the effective gluon propagator belongs to the
Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency
of the BRST symmetry is included. We show that the effective model with gluon
propagator of the Gribov-Stingl type exhibits both quark and gluon confinement:
the Wilson loop average has the area law and the Schwinger function violates
reflection positivity. However, we argue that both quark and gluon confinement
can be obtained even in the absence of such a mass term.
| [
{
"created": "Sun, 20 Mar 2011 05:01:17 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2011 06:20:38 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Kondo",
"Kei-Ichi",
""
]
] | We derive a gauge-invariant low-energy effective model of the Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency of the BRST symmetry is included. We show that the effective model with gluon propagator of the Gribov-Stingl type exhibits both quark and gluon confinement: the Wilson loop average has the area law and the Schwinger function violates reflection positivity. However, we argue that both quark and gluon confinement can be obtained even in the absence of such a mass term. |
2203.03372 | Edvard Musaev | Ilya Bakhmatov, Aybike Catal-Ozer, Nihat Sadik Deger, Kirill Gubarev,
Edvard T. Musaev | Generalizing eleven-dimensional supergravity | 13 pages | Phys.Rev.D 105 (2022) 8, L081904 | 10.1103/PhysRevD.105.L081904 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a procedure to reproduce the ten-dimensional generalized
supergravity equations from T-duality covariant equations, that facilitates
generalization to U-duality covariant formulations of eleven-dimensional
supergravity. The latter leads to a modification of the eleven-dimensional
supergravity equations with terms that contain a rank-2 tensor field $J^{mn}$
which is the eleven-dimensional analog of the non-unimodularity Killing vector
$I^m$ in ten dimensions.
| [
{
"created": "Mon, 7 Mar 2022 13:21:55 GMT",
"version": "v1"
}
] | 2023-04-28 | [
[
"Bakhmatov",
"Ilya",
""
],
[
"Catal-Ozer",
"Aybike",
""
],
[
"Deger",
"Nihat Sadik",
""
],
[
"Gubarev",
"Kirill",
""
],
[
"Musaev",
"Edvard T.",
""
]
] | We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The latter leads to a modification of the eleven-dimensional supergravity equations with terms that contain a rank-2 tensor field $J^{mn}$ which is the eleven-dimensional analog of the non-unimodularity Killing vector $I^m$ in ten dimensions. |
hep-th/0307077 | Patrick Peter | Jerome Martin and Patrick Peter | Parametric amplification of metric fluctuations through a bouncing phase | 17 pages, 12 figures, LaTeX-ReVTeX format, version to match Phys.
Rev. D | Phys.Rev. D68 (2003) 103517 | 10.1103/PhysRevD.68.103517 | null | hep-th astro-ph gr-qc hep-ph | null | We clarify the properties of the behavior of classical cosmological
perturbations when the Universe experiences a bounce. This is done in the
simplest possible case for which gravity is described by general relativity and
the matter content has a single component, namely a scalar field in a closed
geometry. We show in particular that the spectrum of scalar perturbations can
be affected by the bounce in a way that may depend on the wave number, even in
the large scale limit. This may have important implications for string
motivated models of the early Universe.
| [
{
"created": "Tue, 8 Jul 2003 15:23:19 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2003 11:53:10 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Martin",
"Jerome",
""
],
[
"Peter",
"Patrick",
""
]
] | We clarify the properties of the behavior of classical cosmological perturbations when the Universe experiences a bounce. This is done in the simplest possible case for which gravity is described by general relativity and the matter content has a single component, namely a scalar field in a closed geometry. We show in particular that the spectrum of scalar perturbations can be affected by the bounce in a way that may depend on the wave number, even in the large scale limit. This may have important implications for string motivated models of the early Universe. |
1104.4347 | Justin Khoury | Austin Joyce and Justin Khoury | Scale Invariance via a Phase of Slow Expansion | 34 pages, 5 figures | Phys.Rev.D84:023508,2011 | 10.1103/PhysRevD.84.023508 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a cosmological scenario in which a scale-invariant spectrum of
curvature perturbations is generated by a rapidly-evolving equation of state on
a slowly expanding background. This scenario generalizes the "adiabatic
ekpyrotic" mechanism proposed recently in arXiv:0910.2230. Whereas the original
proposal assumed a slowly contracting background, the present work shows that
the mechanism works equally well on an expanding background. This greatly
expands the realm of broader cosmological scenarios in which this mechanism can
be embedded. We present a phase space analysis and show that both the expanding
and contracting versions of the scenario are dynamical attractors, with the
expanding branch having a broader basin of attraction. In both cases, a finite
range of scale invariant modes can be generated within the regime of validity
of perturbation theory.
| [
{
"created": "Thu, 21 Apr 2011 20:00:00 GMT",
"version": "v1"
}
] | 2011-08-08 | [
[
"Joyce",
"Austin",
""
],
[
"Khoury",
"Justin",
""
]
] | We consider a cosmological scenario in which a scale-invariant spectrum of curvature perturbations is generated by a rapidly-evolving equation of state on a slowly expanding background. This scenario generalizes the "adiabatic ekpyrotic" mechanism proposed recently in arXiv:0910.2230. Whereas the original proposal assumed a slowly contracting background, the present work shows that the mechanism works equally well on an expanding background. This greatly expands the realm of broader cosmological scenarios in which this mechanism can be embedded. We present a phase space analysis and show that both the expanding and contracting versions of the scenario are dynamical attractors, with the expanding branch having a broader basin of attraction. In both cases, a finite range of scale invariant modes can be generated within the regime of validity of perturbation theory. |
1004.2954 | Bin Wang | Qiyuan Pan, Bin Wang | Influence on the entropic force by the virtual degree of freedom on the
holographic screen | 9 pages, revised version, to appear in Phys. Lett. B | Phys.Lett.B694:456-459,2011 | 10.1016/j.physletb.2010.10.020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the study of entropic force to a general static spherical
spacetime and examine the acceleration, temperature, equation of gravity and
the energy associated with the holographic screen in this general background.
We show that the virtual degree of freedom on the holographic screen plays a
crucial role in interpreting field equations of gravity based on
thermodynamical perspective.
| [
{
"created": "Sat, 17 Apr 2010 11:51:41 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 2010 06:14:36 GMT",
"version": "v2"
}
] | 2011-01-27 | [
[
"Pan",
"Qiyuan",
""
],
[
"Wang",
"Bin",
""
]
] | We generalize the study of entropic force to a general static spherical spacetime and examine the acceleration, temperature, equation of gravity and the energy associated with the holographic screen in this general background. We show that the virtual degree of freedom on the holographic screen plays a crucial role in interpreting field equations of gravity based on thermodynamical perspective. |
2207.07113 | Ethan Neil | Roman Marcarelli, Nicholas Miesch, and Ethan T. Neil | Mass-induced confinement near the sill of the conformal window | 24 pages, 4 figures. v2: updated to journal version | Phys. Rev. D 107, 076011 (2023) | 10.1103/PhysRevD.107.076011 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit standard arguments for hyperscaling of the spectrum when a
non-zero fermion mass is introduced to a gauge-fermion theory which is
conformal in the infrared limit. With some general assumptions, we argue that
the induced confinement scale will be significantly enhanced near the edge of
the conformal to confining transition. This enhancement can allow for the
fermion mass to be arbitrarily small compared to the confinement scale. This
scale separation may allow for apparent spontaneous breaking of chiral symmetry
within the conformal window, which may be of interest for construction of
dilaton effective field theories in this regime.
| [
{
"created": "Thu, 14 Jul 2022 17:59:24 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Aug 2023 15:59:08 GMT",
"version": "v2"
}
] | 2023-08-08 | [
[
"Marcarelli",
"Roman",
""
],
[
"Miesch",
"Nicholas",
""
],
[
"Neil",
"Ethan T.",
""
]
] | We revisit standard arguments for hyperscaling of the spectrum when a non-zero fermion mass is introduced to a gauge-fermion theory which is conformal in the infrared limit. With some general assumptions, we argue that the induced confinement scale will be significantly enhanced near the edge of the conformal to confining transition. This enhancement can allow for the fermion mass to be arbitrarily small compared to the confinement scale. This scale separation may allow for apparent spontaneous breaking of chiral symmetry within the conformal window, which may be of interest for construction of dilaton effective field theories in this regime. |
1006.4404 | Ivan Agullo | Ivan Agullo, Jose Navarro-Salas, Gonzalo J. Olmo, Leonard Parker | Hawking radiation by Kerr black holes and conformal symmetry | Version published in Phys. Rev. Lett | Phys.Rev.Lett.105:211305,2010 | 10.1103/PhysRevLett.105.211305 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The exponential blueshift associated with the event horizon of a black hole
makes conformal symmetry play a fundamental role in accounting for its thermal
properties. Using a derivation based on two-point functions, we show that the
spectrum of thermal radiation of scalar particles by Kerr (and Schwarzschild)
black holes can be explicitly derived on the basis of a $2$-dimensional
conformal symmetry arising in the wave equation near the horizon. This result
reinforces the recently conjectured relation between Kerr geometry and a
$2$-dimensional conformal field theory.
| [
{
"created": "Wed, 23 Jun 2010 02:09:13 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Nov 2010 14:43:35 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Agullo",
"Ivan",
""
],
[
"Navarro-Salas",
"Jose",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Parker",
"Leonard",
""
]
] | The exponential blueshift associated with the event horizon of a black hole makes conformal symmetry play a fundamental role in accounting for its thermal properties. Using a derivation based on two-point functions, we show that the spectrum of thermal radiation of scalar particles by Kerr (and Schwarzschild) black holes can be explicitly derived on the basis of a $2$-dimensional conformal symmetry arising in the wave equation near the horizon. This result reinforces the recently conjectured relation between Kerr geometry and a $2$-dimensional conformal field theory. |
1209.0893 | Jiliang Jing | Jiliang Jing, Qiyuan Pan, Songbai Chen | Holographic Superconductor/Insulator Transition with logarithmic
electromagnetic field in Gauss-Bonnet gravity | 15 pages, 7 figures, 3 tables, accepted for publication in Phys.
Lett. B | Phys. Lett. B 716, 385 (2012) | 10.1016/j.physletb.2012.09.003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The behaviors of the holographic superconductors/insulator transition are
studied by introducing a charged scalar field coupled with a logarithmic
electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and
soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the
larger coupling parameter of logarithmic electrodynamic field $b$ makes it
easier for the scalar hair to be condensated; ii) the ratio of the gap
frequency in conductivity $\omega_g$ to the critical temperature $T_c$ depends
on both $b$ and the Gauss-Bonnet constant $\alpha$; and iii) the critical
exponents are independent of the $b$ and $\alpha$. For the
Einstein-Gauss-Bonnet AdS Soliton, we show that the system is the insulator
phase when the chemical potential $\mu$ is small, but there is a phase
transition and the AdS soliton reaches the superconductor (or superfluid) phase
when $\mu$ larger than critical chemical potential. A special property should
be noted is that the critical chemical potential is not changed by the coupling
parameter $b$ but depends on $\alpha$.
| [
{
"created": "Wed, 5 Sep 2012 08:57:13 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Jing",
"Jiliang",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Chen",
"Songbai",
""
]
] | The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the larger coupling parameter of logarithmic electrodynamic field $b$ makes it easier for the scalar hair to be condensated; ii) the ratio of the gap frequency in conductivity $\omega_g$ to the critical temperature $T_c$ depends on both $b$ and the Gauss-Bonnet constant $\alpha$; and iii) the critical exponents are independent of the $b$ and $\alpha$. For the Einstein-Gauss-Bonnet AdS Soliton, we show that the system is the insulator phase when the chemical potential $\mu$ is small, but there is a phase transition and the AdS soliton reaches the superconductor (or superfluid) phase when $\mu$ larger than critical chemical potential. A special property should be noted is that the critical chemical potential is not changed by the coupling parameter $b$ but depends on $\alpha$. |
2108.09323 | Elias Leite Mendon\c{c}a | Elias L. Mendon\c{c}a, H. L. Oliveira | Reaching out a "geometrical" description for spin-4 self-dual models in
$D=2+1$ | 14 pages | null | 10.1103/PhysRevD.105.025002 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | Starting with a first order in derivatives self-dual model which describes a
massive spin-4 mode in $D=2+1$ dimensions, we have obtained a sequence of three
more new descriptions, which then give us an interconnected self-dual chain
$SD(i)$ with $i=1,2,3,4$ indicating the order in derivatives. We have
demonstrated that a powerful notation in terms of a self-adjoint operator
$\Omega$ in the frame-like scenario truly simplifies the investigation for new
models and at the third order level can be converted to a geometrical
description in terms of the much more usual totally symmetric double traceless
field.
| [
{
"created": "Fri, 20 Aug 2021 18:11:18 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2021 15:43:57 GMT",
"version": "v2"
}
] | 2022-01-19 | [
[
"Mendonça",
"Elias L.",
""
],
[
"Oliveira",
"H. L.",
""
]
] | Starting with a first order in derivatives self-dual model which describes a massive spin-4 mode in $D=2+1$ dimensions, we have obtained a sequence of three more new descriptions, which then give us an interconnected self-dual chain $SD(i)$ with $i=1,2,3,4$ indicating the order in derivatives. We have demonstrated that a powerful notation in terms of a self-adjoint operator $\Omega$ in the frame-like scenario truly simplifies the investigation for new models and at the third order level can be converted to a geometrical description in terms of the much more usual totally symmetric double traceless field. |
2310.13041 | Jasper Roosmale Nepveu | Quentin Bonnefoy, Gauthier Durieux, Jasper Roosmale Nepveu | Higher-derivative relations between scalars and gluons | 28 pages, 1 appendix | null | null | CERN-TH-2023-174, IRMP-CP3-23-58, DESY-23-145, HU-EP-23/53-RTG | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We extend the covariant color-kinematics duality introduced by Cheung and
Mangan to effective field theories. We focus in particular on relations between
the effective field theories of gluons only and of gluons coupled to bi-adjoint
scalars. Maps are established between their respective equations of motion and
between their tree-level scattering amplitudes. An additional rule for the
replacement of flavor structures by kinematic factors realizes the map between
higher-derivative amplitudes. As an example of new relations, the pure-gluon
amplitudes of mass dimension up to eight, featuring insertions of the $F^3$ and
$F^4$ operators which satisfy the traditional color-kinematics duality, can be
generated at all multiplicities from just renormalizable amplitudes of gluons
and bi-adjoint scalars. We also obtain closed-form expressions for the
kinematic numerators of the dimension-six gluon effective field theory, which
are valid in $D$ space-time dimensions. Finally, we find strong evidence that
this extended covariant color-kinematics duality relates the
$(DF)^2+$YM$(+\phi^3)$ theories which, at low energies, generate infinite
towers of operators satisfying the traditional color-kinematics duality, beyond
aforementioned $F^3$ and $F^4$ ones.
| [
{
"created": "Thu, 19 Oct 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-10-23 | [
[
"Bonnefoy",
"Quentin",
""
],
[
"Durieux",
"Gauthier",
""
],
[
"Nepveu",
"Jasper Roosmale",
""
]
] | We extend the covariant color-kinematics duality introduced by Cheung and Mangan to effective field theories. We focus in particular on relations between the effective field theories of gluons only and of gluons coupled to bi-adjoint scalars. Maps are established between their respective equations of motion and between their tree-level scattering amplitudes. An additional rule for the replacement of flavor structures by kinematic factors realizes the map between higher-derivative amplitudes. As an example of new relations, the pure-gluon amplitudes of mass dimension up to eight, featuring insertions of the $F^3$ and $F^4$ operators which satisfy the traditional color-kinematics duality, can be generated at all multiplicities from just renormalizable amplitudes of gluons and bi-adjoint scalars. We also obtain closed-form expressions for the kinematic numerators of the dimension-six gluon effective field theory, which are valid in $D$ space-time dimensions. Finally, we find strong evidence that this extended covariant color-kinematics duality relates the $(DF)^2+$YM$(+\phi^3)$ theories which, at low energies, generate infinite towers of operators satisfying the traditional color-kinematics duality, beyond aforementioned $F^3$ and $F^4$ ones. |
hep-th/0302035 | Fernando Mendez | S. Lepe, F. Mendez, J. Saavedra and L. Vergara | Fermions scattering in a three dimensional extreme black hole background | 15 pages, RevTex4. Revised version. To be published in Class.
Quantum. Grav | Class.Quant.Grav. 20 (2003) 2417-2428 | 10.1088/0264-9381/20/11/330 | null | hep-th | null | The absorption cross section for scattering of fermions off an extreme BTZ
black hole is calculated. It is shown that, as in the case of scalar particles,
an extreme BTZ black hole exhibits a vanishing absorption cross section, which
is consistent with the vanishing entropy of such object. Additionally, we give
a general argument to prove that the particle flux near the horizon is zero.
Finally we show that the {\it reciprocal space} introduced previously in
\cite{gm} gives rise to the same result and, therefore, it could be considered
as the space where the scattering process takes place in an AdS spacetime.
| [
{
"created": "Thu, 6 Feb 2003 03:20:44 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2003 21:21:21 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Lepe",
"S.",
""
],
[
"Mendez",
"F.",
""
],
[
"Saavedra",
"J.",
""
],
[
"Vergara",
"L.",
""
]
] | The absorption cross section for scattering of fermions off an extreme BTZ black hole is calculated. It is shown that, as in the case of scalar particles, an extreme BTZ black hole exhibits a vanishing absorption cross section, which is consistent with the vanishing entropy of such object. Additionally, we give a general argument to prove that the particle flux near the horizon is zero. Finally we show that the {\it reciprocal space} introduced previously in \cite{gm} gives rise to the same result and, therefore, it could be considered as the space where the scattering process takes place in an AdS spacetime. |
2107.02075 | Ana-Maria Raclariu | Ana-Maria Raclariu | Lectures on Celestial Holography | 35 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes consist of 3 lectures on celestial holography given at the
Pre-Strings school 2021. We start by reviewing how semiclassically, the
subleading soft graviton theorem implies an enhancement of the Lorentz symmetry
of scattering in four-dimensional asymptotically flat gravity to Virasoro. This
leads to the construction of celestial amplitudes as $\mathcal{S}$-matrices
computed in a basis of boost eigenstates. Both massless and massive asymptotic
states are recast as insertions on the celestial sphere transforming as global
conformal primaries under the Lorentz SL$(2, \mathbb{C})$. We conclude with an
overview of celestial symmetries and the constraints they impose on celestial
scattering.
| [
{
"created": "Mon, 5 Jul 2021 15:13:40 GMT",
"version": "v1"
}
] | 2021-07-06 | [
[
"Raclariu",
"Ana-Maria",
""
]
] | These notes consist of 3 lectures on celestial holography given at the Pre-Strings school 2021. We start by reviewing how semiclassically, the subleading soft graviton theorem implies an enhancement of the Lorentz symmetry of scattering in four-dimensional asymptotically flat gravity to Virasoro. This leads to the construction of celestial amplitudes as $\mathcal{S}$-matrices computed in a basis of boost eigenstates. Both massless and massive asymptotic states are recast as insertions on the celestial sphere transforming as global conformal primaries under the Lorentz SL$(2, \mathbb{C})$. We conclude with an overview of celestial symmetries and the constraints they impose on celestial scattering. |
hep-th/9712029 | Kazutoshi Ohta | Toshio Nakatsu, Kazutoshi Ohta and Takashi Yokono | On the Baryonic Branch Root of N=2 MQCD | LaTeX, 25 pages, 7 figures, references added | Phys. Rev. D 58, 026003 (1998) | 10.1103/PhysRevD.58.026003 | OU-HET 284 | hep-th | null | We investigate the brane exchange in the framework of N=2 MQCD by using a
specific family of M fivebrane configurations relevant to describe the baryonic
branch root. An exchange of M fivebranes is realized in the Taub-NUT geometry
and controlled by the moduli parameter of the configurations. This family also
provides two different descriptions of the root. These descriptions are
examined carefully using the Taub-NUT geometry. It is shown that they have the
same baryonic branch and are shifted each other by the brane exchange.
| [
{
"created": "Wed, 3 Dec 1997 09:30:12 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 1998 08:04:35 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Nakatsu",
"Toshio",
""
],
[
"Ohta",
"Kazutoshi",
""
],
[
"Yokono",
"Takashi",
""
]
] | We investigate the brane exchange in the framework of N=2 MQCD by using a specific family of M fivebrane configurations relevant to describe the baryonic branch root. An exchange of M fivebranes is realized in the Taub-NUT geometry and controlled by the moduli parameter of the configurations. This family also provides two different descriptions of the root. These descriptions are examined carefully using the Taub-NUT geometry. It is shown that they have the same baryonic branch and are shifted each other by the brane exchange. |
hep-th/0404187 | Gabriele Ferretti | Gabriele Ferretti, Rainer Heise, and Konstantin Zarembo | New Integrable Structures in Large-N QCD | 12 pages; V2: ref. added, V3: refs. added, explicit expression for
the spin ladder and other text improvements | Phys.Rev. D70 (2004) 074024 | 10.1103/PhysRevD.70.074024 | null | hep-th hep-ph | null | We study the anomalous dimensions of single trace operators composed of field
strengths $F_{\mu\nu}$ in large-N QCD. The matrix of anomalous dimensions is
the Hamiltonian of a compact spin chain with two spin one representations at
each vertex corresponding to the selfdual and anti-selfdual components of
$F_{\mu\nu}$. Due to the special form of the interaction it is possible to
study separately renormalization of purely selfdual components. In this sector
the Hamiltonian is integrable and can be exactly solved by Bethe ansatz. Its
continuum limit is described by the level two SU(2) WZW model.
| [
{
"created": "Fri, 23 Apr 2004 16:37:01 GMT",
"version": "v1"
},
{
"created": "Wed, 5 May 2004 07:04:27 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Sep 2004 06:43:06 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Ferretti",
"Gabriele",
""
],
[
"Heise",
"Rainer",
""
],
[
"Zarembo",
"Konstantin",
""
]
] | We study the anomalous dimensions of single trace operators composed of field strengths $F_{\mu\nu}$ in large-N QCD. The matrix of anomalous dimensions is the Hamiltonian of a compact spin chain with two spin one representations at each vertex corresponding to the selfdual and anti-selfdual components of $F_{\mu\nu}$. Due to the special form of the interaction it is possible to study separately renormalization of purely selfdual components. In this sector the Hamiltonian is integrable and can be exactly solved by Bethe ansatz. Its continuum limit is described by the level two SU(2) WZW model. |
hep-th/9706124 | null | M.J. Duff, J. M. Evans, R.R. Khuri, J.X. Lu and R. Minasian | The Octonionic Membrane | 17 pages, Latex; enhanced discussion on supersymmetry, some
references added | Phys.Lett. B412 (1997) 281-287; Nucl.Phys.Proc.Suppl. 68 (1998)
295-302 | 10.1016/S0920-5632(98)00163-7 | CTP-TAMU-25/96, CERN-TH/97-156, DAMTP/96-78, McGill/97-14 | hep-th | null | We generalize the supermembrane solution of D=11 supergravity by permitting
the 4-form $G$ to be either self-dual or anti-self-dual in the eight dimensions
transverse to the membrane. After analyzing the supergravity field equations
directly, and also discussing necessary conditions for unbroken supersymmetry,
we focus on two specific, related solutions. The self-dual solution is not
asymptotically flat. The anti-self-dual solution is asymptotically flat, has
finite mass per unit area and saturates the same mass=charge Bogomolnyi bound
as the usual supermembrane. Nevertheless, neither solution preserves any
supersymmetry. Both solutions involve the octonionic structure constants but,
perhaps surprisingly, they are unrelated to the octonionic instanton 2-form
$F$, for which $TrF \wedge F$ is neither self-dual nor anti-self-dual.
| [
{
"created": "Mon, 16 Jun 1997 22:53:32 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 1997 19:09:19 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Duff",
"M. J.",
""
],
[
"Evans",
"J. M.",
""
],
[
"Khuri",
"R. R.",
""
],
[
"Lu",
"J. X.",
""
],
[
"Minasian",
"R.",
""
]
] | We generalize the supermembrane solution of D=11 supergravity by permitting the 4-form $G$ to be either self-dual or anti-self-dual in the eight dimensions transverse to the membrane. After analyzing the supergravity field equations directly, and also discussing necessary conditions for unbroken supersymmetry, we focus on two specific, related solutions. The self-dual solution is not asymptotically flat. The anti-self-dual solution is asymptotically flat, has finite mass per unit area and saturates the same mass=charge Bogomolnyi bound as the usual supermembrane. Nevertheless, neither solution preserves any supersymmetry. Both solutions involve the octonionic structure constants but, perhaps surprisingly, they are unrelated to the octonionic instanton 2-form $F$, for which $TrF \wedge F$ is neither self-dual nor anti-self-dual. |
hep-th/0311174 | Dimitar Mladenov | Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov | On application of involutivity analysis of differential equations to
constrained dynamical systems | 17 pages, LaTeX, no figures. Talk given at the Seminar "Symmetries
and Integrable Systems", Dubna, Russia, December 20, 2002 | null | null | null | hep-th math-ph math.MP nlin.SI | null | A brief sketch of computer methods of involutivity analysis of differential
equations is presented in context of its application to study degenerate
Lagrangian systems. We exemplify the approach by a detailed consideration of a
finite-dimensional model, the so-called light-cone SU(2) Yang-Mills mechanics.
All algorithms are realized in computer algebra system Maple.
| [
{
"created": "Wed, 19 Nov 2003 16:22:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gerdt",
"Vladimir",
""
],
[
"Khvedelidze",
"Arsen",
""
],
[
"Mladenov",
"Dimitar",
""
]
] | A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplify the approach by a detailed consideration of a finite-dimensional model, the so-called light-cone SU(2) Yang-Mills mechanics. All algorithms are realized in computer algebra system Maple. |
1412.6879 | Ben Richard | Andreas Albrecht, R. Holman, and Benoit J. Richard | Spinodal Instabilities and Super-Planckian Excursions in Natural
Inflation | 4 pages, 2 figures. V2: Final version accepted for publication in
PRL. Changes: discussion clarified including regarding the scope of our
result and the Hartree approximation, no changes to technical results or
conclusions | Phys. Rev. Lett. 114, 171301 (2015) | 10.1103/PhysRevLett.114.171301 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Models such as Natural Inflation that use Pseudo-Nambu-Goldstone bosons
(PNGB's) as the inflaton are attractive for many reasons. However, they
typically require trans-Planckian field excursions $\Delta \Phi>M_{\rm Pl}$,
due to the need for an axion decay constant $f>M_{\rm Pl}$ to have both a
sufficient number of e-folds {\em and} values of $n_s,\ r$ consistent with
data. Such excursions would in general require the addition of all other higher
dimension operators consistent with symmetries, thus disrupting the required
flatness of the potential and rendering the theory non-predictive. We show that
in the case of Natural Inflation, the existence of spinodal instabilities
(modes with tachyonic masses) can modify the inflaton equations of motion to
the point that versions of the model with $f<M_{\rm Pl}$ can still inflate for
the required number of e-folds. The instabilities naturally give rise to two
separate phases of inflation with different values of the Hubble parameter $H$
one driven by the zero mode, the other by the unstable fluctuation modes. The
values of $n_s$ and $r$ typically depend on the initial conditions for the zero
mode, and, at least for those examined here, the values of $r$ tend to be
unobservably small.
| [
{
"created": "Mon, 22 Dec 2014 05:55:09 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 2015 22:13:44 GMT",
"version": "v2"
}
] | 2015-05-06 | [
[
"Albrecht",
"Andreas",
""
],
[
"Holman",
"R.",
""
],
[
"Richard",
"Benoit J.",
""
]
] | Models such as Natural Inflation that use Pseudo-Nambu-Goldstone bosons (PNGB's) as the inflaton are attractive for many reasons. However, they typically require trans-Planckian field excursions $\Delta \Phi>M_{\rm Pl}$, due to the need for an axion decay constant $f>M_{\rm Pl}$ to have both a sufficient number of e-folds {\em and} values of $n_s,\ r$ consistent with data. Such excursions would in general require the addition of all other higher dimension operators consistent with symmetries, thus disrupting the required flatness of the potential and rendering the theory non-predictive. We show that in the case of Natural Inflation, the existence of spinodal instabilities (modes with tachyonic masses) can modify the inflaton equations of motion to the point that versions of the model with $f<M_{\rm Pl}$ can still inflate for the required number of e-folds. The instabilities naturally give rise to two separate phases of inflation with different values of the Hubble parameter $H$ one driven by the zero mode, the other by the unstable fluctuation modes. The values of $n_s$ and $r$ typically depend on the initial conditions for the zero mode, and, at least for those examined here, the values of $r$ tend to be unobservably small. |
1904.08207 | Davoud Kamani | Davoud Kamani and Elham Maghsoodi | Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with
Background Fields | 17 pages, Latex2e, No figure | Nucl. Phys. B 942 (2019) 381-392 | 10.1016/j.nuclphysb.2019.03.020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the boundary state method and operator formalism to obtain
tree-level scattering amplitude of the Kalb-Ramond state from a D$p$-brane. The
brane has a tangential dynamics, and it has been dressed by the antisymmetric
tensor field, a $U(1)$ internal gauge potential and an open string tachyon
field. By using the scattering amplitudes we acquire two DBI-like actions
corresponding to the target branes. Our calculations are in the framework of
the bosonic string theory.
| [
{
"created": "Wed, 17 Apr 2019 11:52:35 GMT",
"version": "v1"
}
] | 2019-04-22 | [
[
"Kamani",
"Davoud",
""
],
[
"Maghsoodi",
"Elham",
""
]
] | We apply the boundary state method and operator formalism to obtain tree-level scattering amplitude of the Kalb-Ramond state from a D$p$-brane. The brane has a tangential dynamics, and it has been dressed by the antisymmetric tensor field, a $U(1)$ internal gauge potential and an open string tachyon field. By using the scattering amplitudes we acquire two DBI-like actions corresponding to the target branes. Our calculations are in the framework of the bosonic string theory. |
0906.0848 | Yun Soo Myung | Yun Soo Myung | Propagations of massive graviton in the deformed Ho\v{r}ava-Lifshitz
gravity | 17 pages, version with projectability requirement, to appear in PRD | Phys.Rev.D81:064006,2010 | 10.1103/PhysRevD.81.064006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study massive graviton propagations of scalar, vector, and tensor modes in
the deformed Ho\v{r}ava-Lifshitz gravity by introducing Lorentz-violating mass
term. It turns out that vector and tensor modes are massively propagating on
the Minkowski spacetime background. However, adding the mass term does not cure
a ghost instability in the Ho\v{r}ava scalar.
| [
{
"created": "Thu, 4 Jun 2009 08:19:51 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 2009 23:16:59 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Feb 2010 23:07:45 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Myung",
"Yun Soo",
""
]
] | We study massive graviton propagations of scalar, vector, and tensor modes in the deformed Ho\v{r}ava-Lifshitz gravity by introducing Lorentz-violating mass term. It turns out that vector and tensor modes are massively propagating on the Minkowski spacetime background. However, adding the mass term does not cure a ghost instability in the Ho\v{r}ava scalar. |
1301.4165 | Ricardo Monteiro | Rutger H. Boels, Reinke Sven Isermann, Ricardo Monteiro, Donal
O'Connell | Colour-Kinematics Duality for One-Loop Rational Amplitudes | 36 pages, 5 figures; v2: published version | null | 10.1007/JHEP04(2013)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Colour-kinematics duality is the conjecture of a group theory-like structure
for the kinematic dependence of scattering amplitudes in gauge theory and
gravity. This structure has been verified at tree level in various ways, but
similar progress has been lacking at loop level, where the power of the duality
would be most significant. Here we explore colour-kinematics duality at one
loop using the self-dual sector as a starting point. The duality is shown to
exist in pure Yang-Mills theory for two infinite classes of amplitudes:
amplitudes with any number of particles either all of the same helicity or with
one particle helicity opposite the rest. We provide a simple Lagrangian-based
argument in favour of the double copy relation between gauge theory and gravity
amplitudes in these classes, and provide some explicit examples. We further
discuss aspects of the duality which persist after integration, leading to
relations among partial amplitudes. Finally, we describe form factors in the
self-dual theory at tree level which also satisfy the duality.
| [
{
"created": "Thu, 17 Jan 2013 17:26:33 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2013 15:03:15 GMT",
"version": "v2"
}
] | 2013-07-18 | [
[
"Boels",
"Rutger H.",
""
],
[
"Isermann",
"Reinke Sven",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"O'Connell",
"Donal",
""
]
] | Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been verified at tree level in various ways, but similar progress has been lacking at loop level, where the power of the duality would be most significant. Here we explore colour-kinematics duality at one loop using the self-dual sector as a starting point. The duality is shown to exist in pure Yang-Mills theory for two infinite classes of amplitudes: amplitudes with any number of particles either all of the same helicity or with one particle helicity opposite the rest. We provide a simple Lagrangian-based argument in favour of the double copy relation between gauge theory and gravity amplitudes in these classes, and provide some explicit examples. We further discuss aspects of the duality which persist after integration, leading to relations among partial amplitudes. Finally, we describe form factors in the self-dual theory at tree level which also satisfy the duality. |
hep-th/0005220 | Davide Fabbri | M. Billo`, D. Fabbri, P. Fre`, P. Merlatti and A. Zaffaroni | Shadow multiplets in AdS_4/CFT_3 and the super-Higgs mechanism: hints of
new shadow supergravities | 61 pages, LaTex, 2 figures | Nucl.Phys. B591 (2000) 139-194 | 10.1016/S0550-3213(00)00532-0 | null | hep-th | null | We discuss a general pairing that occurs in compactifications of M-theory on
AdS_4 x X^7 backgrounds between massless ultra short multiplets and their
massive shadows, namely certain universal long multiplets with fixed protected
dimensions. In particular we consider the shadow of the short graviton
multiplet in N=3 compactifications. It turns out to be a massive spin 3/2
multiplet with scale dimension E_0=3 and with the quantum numbers of a
super-Higgs multiplet. Hence each N=3 AdS_4 x X^7 vacuum is actually to be
interpreted as a spontaneously broken phase of an N=4 theory. Comparison with
standard gauged N=4 supergravity in 4 dimensions reveals the unexpected bound
E_0<3 on the dimension of the broken gravitino multiplet. This hints to the
existence of new versions of extended supergravities, in particular N=4 where
such upper bounds are evaded and where all possible vacua have a reduced
supersymmetry N_0<N. We name them shadow supergravities. In particular, using
arguments based on the solvable Lie algebra parametrization of the scalar
manifold, we discuss the possible structure of shadow N=4 supergravity. Using
our previous results on the SCFT dual of the AdS_4 x N^{0,1,0} vacuum we
discuss the SCFT realization of the universal N=3 shadow multiplet. RG flows
from an N=4 to an N=3 phase are ruled out by the fact that the N=4 vacuum is at
infinite distance in moduli space, denoting the presence of a topology change.
| [
{
"created": "Wed, 24 May 2000 18:06:36 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Billo`",
"M.",
""
],
[
"Fabbri",
"D.",
""
],
[
"Fre`",
"P.",
""
],
[
"Merlatti",
"P.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | We discuss a general pairing that occurs in compactifications of M-theory on AdS_4 x X^7 backgrounds between massless ultra short multiplets and their massive shadows, namely certain universal long multiplets with fixed protected dimensions. In particular we consider the shadow of the short graviton multiplet in N=3 compactifications. It turns out to be a massive spin 3/2 multiplet with scale dimension E_0=3 and with the quantum numbers of a super-Higgs multiplet. Hence each N=3 AdS_4 x X^7 vacuum is actually to be interpreted as a spontaneously broken phase of an N=4 theory. Comparison with standard gauged N=4 supergravity in 4 dimensions reveals the unexpected bound E_0<3 on the dimension of the broken gravitino multiplet. This hints to the existence of new versions of extended supergravities, in particular N=4 where such upper bounds are evaded and where all possible vacua have a reduced supersymmetry N_0<N. We name them shadow supergravities. In particular, using arguments based on the solvable Lie algebra parametrization of the scalar manifold, we discuss the possible structure of shadow N=4 supergravity. Using our previous results on the SCFT dual of the AdS_4 x N^{0,1,0} vacuum we discuss the SCFT realization of the universal N=3 shadow multiplet. RG flows from an N=4 to an N=3 phase are ruled out by the fact that the N=4 vacuum is at infinite distance in moduli space, denoting the presence of a topology change. |
2312.10816 | Markus B. Fr\"ob | Renata Ferrero, Markus B. Fr\"ob, William C. C. Lima | Heat kernel coefficients for massive gravity | 54 pages, long formulas. Close to published version. Includes a
Mathematica notebook as supplementary material | J. Math. Phys. 65 (2024) 082301 | 10.1063/5.0196609 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the heat kernel coefficients that are needed for the
regularization and renormalization of massive gravity. Starting from the
Stueckelberg action for massive gravity, we determine the propagators of the
different fields (massive tensor, vector and scalar) in a general linear
covariant gauge depending on four free gauge parameters. We then compute the
non-minimal heat kernel coefficients for all the components of the scalar,
vector and tensor sector, and employ these coefficients to regularize the
propagators of all the different fields of massive gravity. We also study the
massless limit and discuss the appearance of the van Dam-Veltman-Zakharov
discontinuity. In the course of the computation, we derive new identities
relating the heat kernel coefficients of different field sectors, both massive
and massless.
| [
{
"created": "Sun, 17 Dec 2023 20:57:05 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2024 15:27:49 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Aug 2024 16:22:16 GMT",
"version": "v3"
}
] | 2024-08-06 | [
[
"Ferrero",
"Renata",
""
],
[
"Fröb",
"Markus B.",
""
],
[
"Lima",
"William C. C.",
""
]
] | We compute the heat kernel coefficients that are needed for the regularization and renormalization of massive gravity. Starting from the Stueckelberg action for massive gravity, we determine the propagators of the different fields (massive tensor, vector and scalar) in a general linear covariant gauge depending on four free gauge parameters. We then compute the non-minimal heat kernel coefficients for all the components of the scalar, vector and tensor sector, and employ these coefficients to regularize the propagators of all the different fields of massive gravity. We also study the massless limit and discuss the appearance of the van Dam-Veltman-Zakharov discontinuity. In the course of the computation, we derive new identities relating the heat kernel coefficients of different field sectors, both massive and massless. |
1802.08453 | Diego Hidalgo Tecay | Luis Avil\'es, Ernesto Frodden, Joaquim Gomis, Diego Hidalgo, Jorge
Zanelli | Non-Relativistic Maxwell Chern-Simons Gravity | 19 pages, 1 table, subsection 3.3 added, abstract and references
modified | null | 10.1007/JHEP05(2018)047 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider a non-relativistic (NR) limit of $(2+1)$-dimensional Maxwell
Chern-Simons (CS) gravity with gauge algebra [Maxwell] $\oplus \ u(1)\oplus
u(1)$. We obtain a finite NR CS gravity with a degenerate invariant bilinear
form. We find two ways out of this difficulty: To consider i) [Maxwell]
$\oplus\ u(1)$, which does not contain Extended Bargmann gravity (EBG); or, ii)
the NR limit of [Maxwell] $\oplus\ u(1)\oplus u(1)\oplus u(1)$, which is a
Maxwellian generalization of the EBG.
| [
{
"created": "Fri, 23 Feb 2018 09:23:40 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2018 16:42:07 GMT",
"version": "v2"
}
] | 2018-06-13 | [
[
"Avilés",
"Luis",
""
],
[
"Frodden",
"Ernesto",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Hidalgo",
"Diego",
""
],
[
"Zanelli",
"Jorge",
""
]
] | We consider a non-relativistic (NR) limit of $(2+1)$-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] $\oplus \ u(1)\oplus u(1)$. We obtain a finite NR CS gravity with a degenerate invariant bilinear form. We find two ways out of this difficulty: To consider i) [Maxwell] $\oplus\ u(1)$, which does not contain Extended Bargmann gravity (EBG); or, ii) the NR limit of [Maxwell] $\oplus\ u(1)\oplus u(1)\oplus u(1)$, which is a Maxwellian generalization of the EBG. |
0910.4852 | Antonio J. Segui | Rachid Ahl Laamara, Adil Belhaj, Luis J. Boya, Leila Medari, Antonio
Segui | On F-theory Quiver Models and Kac-Moody Algebras | 13 pages; new equations added in section 3, one reference added and
typos corrected | Int.J.Geom.Meth.Mod.Phys.7:989-999,2010 | 10.1142/S0219887810004671 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss quiver gauge models with bi-fundamental and fundamental matter
obtained from F-theory compactified on ALE spaces over a four dimensional base
space. We focus on the base geometry which consists of intersecting F0=CP1xCP1
Hirzebruch complex surfaces arranged as Dynkin graphs classified by three kinds
of Kac-Moody (KM) algebras: ordinary, i.e finite dimensional, affine and
indefinite, in particular hyperbolic. We interpret the equations defining these
three classes of generalized Lie algebras as the anomaly cancelation condition
of the corresponding N =1 F-theory quivers in four dimensions. We analyze in
some detail hyperbolic geometries obtained from the affine A base geometry by
adding a node, and we find that it can be used to incorporate fundamental
fields to a product of SU-type gauge groups and fields.
| [
{
"created": "Mon, 26 Oct 2009 10:46:16 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2009 09:20:01 GMT",
"version": "v2"
}
] | 2010-11-11 | [
[
"Laamara",
"Rachid Ahl",
""
],
[
"Belhaj",
"Adil",
""
],
[
"Boya",
"Luis J.",
""
],
[
"Medari",
"Leila",
""
],
[
"Segui",
"Antonio",
""
]
] | We discuss quiver gauge models with bi-fundamental and fundamental matter obtained from F-theory compactified on ALE spaces over a four dimensional base space. We focus on the base geometry which consists of intersecting F0=CP1xCP1 Hirzebruch complex surfaces arranged as Dynkin graphs classified by three kinds of Kac-Moody (KM) algebras: ordinary, i.e finite dimensional, affine and indefinite, in particular hyperbolic. We interpret the equations defining these three classes of generalized Lie algebras as the anomaly cancelation condition of the corresponding N =1 F-theory quivers in four dimensions. We analyze in some detail hyperbolic geometries obtained from the affine A base geometry by adding a node, and we find that it can be used to incorporate fundamental fields to a product of SU-type gauge groups and fields. |
hep-th/9211129 | null | J. H. Yoon | Algebraically Special Class of Space-Times and (1+1)-Dimensional Field
Theories | 15 pages, SNUTP 92-98 | null | null | null | hep-th gr-qc | null | We present the (1+1)-dimensional description of the algebraically special
class of space-times of 4-dimensions. It is described by the (1+1)-dimensional
Yang-Mills action interacting with matter fields, with diffeomorphisms of
2-surface as the gauge symmetry. Parts of the constraints are identified as the
gauge fixing condition. We also show that the representations of
$w_{\infty}$-gravity appear naturally as special cases of this description, and
discuss the geometry of $w_{\infty}$-gravity in term of the fibre bundle.
| [
{
"created": "Sat, 28 Nov 1992 10:59:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yoon",
"J. H.",
""
]
] | We present the (1+1)-dimensional description of the algebraically special class of space-times of 4-dimensions. It is described by the (1+1)-dimensional Yang-Mills action interacting with matter fields, with diffeomorphisms of 2-surface as the gauge symmetry. Parts of the constraints are identified as the gauge fixing condition. We also show that the representations of $w_{\infty}$-gravity appear naturally as special cases of this description, and discuss the geometry of $w_{\infty}$-gravity in term of the fibre bundle. |
1107.5827 | Girma Hailu | Girma Hailu | Linear Confinement of Quarks from Supergravity | 8 pages, PDFLaTeX | Phys.Rev. D84 (2011) 106008 | 10.1103/PhysRevD.84.106008 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A supergravity background that produces linear confinement of quarks in four
dimensions is presented.
| [
{
"created": "Thu, 28 Jul 2011 20:44:25 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Hailu",
"Girma",
""
]
] | A supergravity background that produces linear confinement of quarks in four dimensions is presented. |
2106.00108 | Christian Saemann | Leron Borsten, Hyungrok Kim, Christian Saemann | $EL_\infty$-algebras, Generalized Geometry, and Tensor Hierarchies | 65 pages | null | null | EMPG-21-07 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a generalized form of $L_\infty$-algebras called
$EL_\infty$-algebras. As we show, these provide the natural algebraic framework
for generalized geometry and the symmetries of double field theory as well as
the gauge algebras arising in the tensor hierarchies of gauged supergravity.
Our perspective shows that the kinematical data of the tensor hierarchy is an
adjusted higher gauge theory, which is important for developing finite gauge
transformations as well as non-local descriptions. Mathematically,
$EL_\infty$-algebras provide small resolutions of the operad $\mathcal{L}ie$,
and they shed some light on Loday's problem of integrating Leibniz algebras.
| [
{
"created": "Mon, 31 May 2021 21:25:10 GMT",
"version": "v1"
}
] | 2021-06-02 | [
[
"Borsten",
"Leron",
""
],
[
"Kim",
"Hyungrok",
""
],
[
"Saemann",
"Christian",
""
]
] | We define a generalized form of $L_\infty$-algebras called $EL_\infty$-algebras. As we show, these provide the natural algebraic framework for generalized geometry and the symmetries of double field theory as well as the gauge algebras arising in the tensor hierarchies of gauged supergravity. Our perspective shows that the kinematical data of the tensor hierarchy is an adjusted higher gauge theory, which is important for developing finite gauge transformations as well as non-local descriptions. Mathematically, $EL_\infty$-algebras provide small resolutions of the operad $\mathcal{L}ie$, and they shed some light on Loday's problem of integrating Leibniz algebras. |
1103.2064 | Stefano Bellucci | Stefano Bellucci and Bhupendra Nath Tiwari | State-space Geometry, Statistical Fluctuations and Black Holes in String
Theory | 28 pages. arXiv admin note: substantial text overlap with
arXiv:1102.2391 | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the state-space geometry of various extremal and nonextremal black
holes in string theory. From the notion of the intrinsic geometry, we offer a
new perspective of black hole vacuum fluctuations. For a given black hole
entropy, we explicate the intrinsic state-space geometric meaning of the
statistical fluctuations, local and global stability conditions and long range
statistical correlations. We provide a set of physical motivations pertaining
to the extremal and nonextremal black holes, \textit{viz.}, the meaning of the
chemical geometry and physics of correlation. We illustrate the state-space
configurations for general charge extremal black holes. In sequel, we extend
our analysis for various possible charge and anticharge nonextremal black
holes. From the perspective of statistical fluctuation theory, we offer general
remarks, future directions and open issues towards the intrinsic geometric
understanding of the vacuum fluctuations and black holes in string theory.
Keywords: Intrinsic Geometry; String Theory; Physics of black holes;
Classical black holes; Quantum aspects of black holes, evaporation,
thermodynamics; Higher-dimensional black holes, black strings, and related
objects; Statistical Fluctuation; Flow Instability.
PACS: 02.40.Ky; 11.25.-w; 04.70.-s; 04.70.Bw; 04.70.Dy; 04.50.Gh; 5.40.-a;
47.29.Ky
| [
{
"created": "Thu, 10 Mar 2011 16:04:15 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Sep 2012 09:33:01 GMT",
"version": "v2"
}
] | 2012-10-02 | [
[
"Bellucci",
"Stefano",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a new perspective of black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic state-space geometric meaning of the statistical fluctuations, local and global stability conditions and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, \textit{viz.}, the meaning of the chemical geometry and physics of correlation. We illustrate the state-space configurations for general charge extremal black holes. In sequel, we extend our analysis for various possible charge and anticharge nonextremal black holes. From the perspective of statistical fluctuation theory, we offer general remarks, future directions and open issues towards the intrinsic geometric understanding of the vacuum fluctuations and black holes in string theory. Keywords: Intrinsic Geometry; String Theory; Physics of black holes; Classical black holes; Quantum aspects of black holes, evaporation, thermodynamics; Higher-dimensional black holes, black strings, and related objects; Statistical Fluctuation; Flow Instability. PACS: 02.40.Ky; 11.25.-w; 04.70.-s; 04.70.Bw; 04.70.Dy; 04.50.Gh; 5.40.-a; 47.29.Ky |
hep-th/0108172 | Shin'ichi Nojiri | Shin'ichi Nojiri, Sergei D. Odintsov, and Sachiko Ogushi | Cosmological and black hole brane-world Universes in higher derivative
gravity | LaTeX file 40 pages, references added, version to appear in PRD | Phys.Rev.D65:023521,2002 | 10.1103/PhysRevD.65.023521 | NDA-FP-97, YITP-01-58 | hep-th | null | General model of multidimensional $R^2$-gravity including Riemann tensor
square term (non-zero $c$ case) is considered. The number of brane-worlds in
such model is constructed (mainly in five dimensions) and their properties are
discussed. Thermodynamics of S-AdS BH (with boundary) is presented when
perturbation on $c$ is used. The entropy, free energy and energy are
calculated. For non-zero $c$ the entropy (energy) is not proportional to the
area (mass). The equation of motion of brane in BH background is presented as
FRW equation. Using dual CFT description it is shown that dual field theory is
not conformal one when $c$ is not zero. In this case the holographic entropy
does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$
HD gravity where AdS/CFT description is well applied).
Asymmetrically warped background (analog of charged AdS BH) where Lorentz
invariance violation occurs is found. The cosmological 4d dS brane connecting
two dS bulk spaces is formulated in terms of parameters of $R^2$-gravity.
Within proposed dS/CFT correspondence the holographic conformal anomaly from
five-dimensional higher derivative gravity in de Sitter background is
evaluated.
| [
{
"created": "Thu, 23 Aug 2001 05:40:24 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2001 02:23:08 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Oct 2001 05:54:45 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Ogushi",
"Sachiko",
""
]
] | General model of multidimensional $R^2$-gravity including Riemann tensor square term (non-zero $c$ case) is considered. The number of brane-worlds in such model is constructed (mainly in five dimensions) and their properties are discussed. Thermodynamics of S-AdS BH (with boundary) is presented when perturbation on $c$ is used. The entropy, free energy and energy are calculated. For non-zero $c$ the entropy (energy) is not proportional to the area (mass). The equation of motion of brane in BH background is presented as FRW equation. Using dual CFT description it is shown that dual field theory is not conformal one when $c$ is not zero. In this case the holographic entropy does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$ HD gravity where AdS/CFT description is well applied). Asymmetrically warped background (analog of charged AdS BH) where Lorentz invariance violation occurs is found. The cosmological 4d dS brane connecting two dS bulk spaces is formulated in terms of parameters of $R^2$-gravity. Within proposed dS/CFT correspondence the holographic conformal anomaly from five-dimensional higher derivative gravity in de Sitter background is evaluated. |
hep-th/9503218 | Metin Gurses | Metin Gurses and Emre Sermutlu | Colliding Gravitational Plane Waves in Dilaton Gravity | 23 pages, Latex, to appear in Phys. Rev.D | Phys.Rev.D52:809-815,1995 | 10.1103/PhysRevD.52.809 | null | hep-th gr-qc | null | Collision of plane waves in dilaton gravity theories and low energy limit of
string theory is considered. The formulation of the the problem and some exact
solutions are presented.
| [
{
"created": "Thu, 30 Mar 1995 06:18:50 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Gurses",
"Metin",
""
],
[
"Sermutlu",
"Emre",
""
]
] | Collision of plane waves in dilaton gravity theories and low energy limit of string theory is considered. The formulation of the the problem and some exact solutions are presented. |
1506.08383 | In Yong Park | I. Y. Park | 4D covariance of holographic quantization of Einstein gravity | 31 pages, 5 figures, sign error in eq.(25) (and affected eqs)
corrected | Theor.Math.Phys. 195 (2018) 745-763 | 10.1134/S0040577918050094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been observed in [Park 2014] that the physical states of the ADM
formulation of 4D Einstein gravity holographically reduce and can be described
by a 3D language. Obviously the approach poses the 4D covariance issue; it
turns out that there are two covariance issues whose address is the main theme
of the present work. Although the unphysical character of the trace piece of
the fluctuation metric has been long known, it has not been taken care of in a
manner suitable for the Feynman diagram computations; a proper handling of the
trace piece through gauge-fixing is the key to more subtler of the covariance
issues. As for the second covariance issue, a renormalization program can be
carried out covariantly to any loop order at intermediate steps, thereby
maintaining the 4D covariance; it is only at the final stage that one should
consider the 3D physical external states. With the physical external states,
the 1PI effective action reduces to 3D and renormalizability is restored just
as in the entirely-3D approach of [Park 2014]. We revisit the one-loop
two-point renormalization with careful attention to the trace piece of the
fluctuation metric and in particular outline one-loop renormalization of the
Newton's constant.
| [
{
"created": "Sun, 28 Jun 2015 11:35:20 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2016 13:33:38 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Jul 2017 16:35:52 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Apr 2018 23:33:31 GMT",
"version": "v4"
}
] | 2018-05-01 | [
[
"Park",
"I. Y.",
""
]
] | It has been observed in [Park 2014] that the physical states of the ADM formulation of 4D Einstein gravity holographically reduce and can be described by a 3D language. Obviously the approach poses the 4D covariance issue; it turns out that there are two covariance issues whose address is the main theme of the present work. Although the unphysical character of the trace piece of the fluctuation metric has been long known, it has not been taken care of in a manner suitable for the Feynman diagram computations; a proper handling of the trace piece through gauge-fixing is the key to more subtler of the covariance issues. As for the second covariance issue, a renormalization program can be carried out covariantly to any loop order at intermediate steps, thereby maintaining the 4D covariance; it is only at the final stage that one should consider the 3D physical external states. With the physical external states, the 1PI effective action reduces to 3D and renormalizability is restored just as in the entirely-3D approach of [Park 2014]. We revisit the one-loop two-point renormalization with careful attention to the trace piece of the fluctuation metric and in particular outline one-loop renormalization of the Newton's constant. |
1805.03975 | Kohta Hatakeyama | Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro | Renormalization on the fuzzy sphere | 19 pages, 12 figures, minor changes | Prog. Theor. Exp. Phys. (2018) 063B05 | 10.1093/ptep/pty064 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study renormalization on the fuzzy sphere. We numerically simulate a
scalar field theory on it, which is described by a Hermitian matrix model. We
show that correlation functions defined by using the Berezin symbol are made
independent of the matrix size, which is viewed as a UV cutoff, by tuning a
parameter of the theory. We also find that the theories on the phase boundary
are universal. They behave as a conformal field theory at short distances,
while they show an effect of UV/IR mixing at long distances.
| [
{
"created": "Wed, 9 May 2018 02:23:27 GMT",
"version": "v1"
},
{
"created": "Fri, 11 May 2018 07:10:37 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2018 04:37:41 GMT",
"version": "v3"
}
] | 2018-07-04 | [
[
"Hatakeyama",
"Kohta",
""
],
[
"Tsuchiya",
"Asato",
""
],
[
"Yamashiro",
"Kazushi",
""
]
] | We study renormalization on the fuzzy sphere. We numerically simulate a scalar field theory on it, which is described by a Hermitian matrix model. We show that correlation functions defined by using the Berezin symbol are made independent of the matrix size, which is viewed as a UV cutoff, by tuning a parameter of the theory. We also find that the theories on the phase boundary are universal. They behave as a conformal field theory at short distances, while they show an effect of UV/IR mixing at long distances. |
0804.1464 | Miguel Vazquez-Mozo | Luis Alvarez-Gaume, Cesar Gomez, Agustin Sabio Vera, Alireza Tavanfar,
Miguel A. Vazquez-Mozo | Critical gravitational collapse: towards a holographic understanding of
the Regge region | 81 pages, 31 figures | Nucl. Phys. B806 (2009) 327 | 10.1016/j.nuclphysb.2008.08.016 | CERN-PH-TH/2008-031, IFT-UAM/CSIC-08-20 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the possible holographic connection between the Regge limit in QCD
and critical gravitational collapse of a perfect fluid in higher dimensions. We
begin by analyzing the problem of critical gravitational collapse of a perfect
fluid in any number of dimensions and numerically compute the associated
Choptuik exponent in d=5, 6 and 7 for a range of values of the speed of sound
of the fluid. Using continuous self-similarity as guiding principle, a
holographic correspondence between this process and the phenomenon of parton
saturation in high-energy scattering in QCD is proposed. This holographic
connection relates strong gravitational physics in the bulk with
(nonsupersymmetric) QCD at weak coupling in four dimensions.
| [
{
"created": "Wed, 9 Apr 2008 18:43:42 GMT",
"version": "v1"
}
] | 2008-10-07 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Vera",
"Agustin Sabio",
""
],
[
"Tavanfar",
"Alireza",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] | We study the possible holographic connection between the Regge limit in QCD and critical gravitational collapse of a perfect fluid in higher dimensions. We begin by analyzing the problem of critical gravitational collapse of a perfect fluid in any number of dimensions and numerically compute the associated Choptuik exponent in d=5, 6 and 7 for a range of values of the speed of sound of the fluid. Using continuous self-similarity as guiding principle, a holographic correspondence between this process and the phenomenon of parton saturation in high-energy scattering in QCD is proposed. This holographic connection relates strong gravitational physics in the bulk with (nonsupersymmetric) QCD at weak coupling in four dimensions. |
0712.3059 | Alex Hamilton | Alex Hamilton, Jeff Murugan, Andrea Prinsloo | A note on the universality of the Hagedorn behavior of pp-wave strings | 25 pages; fixed minor typo; added references | JHEP 0802:108,2008 | 10.1088/1126-6708/2008/02/108 | null | hep-th | null | Following on from recent studies of string theory on a one-parameter family
of integrable deformations of $AdS_{5}\times S^{5}$ proposed by Lunin and
Maldacena, we carry out a systematic analysis of the high temperature
properties of type IIB strings on the associated pp-wave geometries. In
particular, through the computation of the thermal partition function and free
energy we find that not only does the theory exhibit a Hagedorn transition in
both the $(J,0,0)$ and $(J,J,J)$ class of pp-waves, but that the Hagedorn
temperature is insensitive to the deformation suggesting an interesting
universality in the high temperature behaviour of the pp-wave string theory. We
comment also on the implications of this universality on the
confinement/deconfinement transition in the dual $\mathcal{N}=1$
Leigh-Strassler deformation of ${\cal N}=4$ Yang-Mills theory.
| [
{
"created": "Tue, 18 Dec 2007 21:20:22 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Feb 2008 08:55:34 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Hamilton",
"Alex",
""
],
[
"Murugan",
"Jeff",
""
],
[
"Prinsloo",
"Andrea",
""
]
] | Following on from recent studies of string theory on a one-parameter family of integrable deformations of $AdS_{5}\times S^{5}$ proposed by Lunin and Maldacena, we carry out a systematic analysis of the high temperature properties of type IIB strings on the associated pp-wave geometries. In particular, through the computation of the thermal partition function and free energy we find that not only does the theory exhibit a Hagedorn transition in both the $(J,0,0)$ and $(J,J,J)$ class of pp-waves, but that the Hagedorn temperature is insensitive to the deformation suggesting an interesting universality in the high temperature behaviour of the pp-wave string theory. We comment also on the implications of this universality on the confinement/deconfinement transition in the dual $\mathcal{N}=1$ Leigh-Strassler deformation of ${\cal N}=4$ Yang-Mills theory. |
hep-th/9703087 | Alexander A. Chernitskii | Alexander A. Chernitskii | A Direct Method for Obtaining the Differential Conservation Laws | 3 pages, LaTeX, no figures, version for publishing in proceedings of
the Eighth Marcel Grossmann Meeting on General Relativity, 22-27 June 1997,
Israel | Proc. of the eighth Marcel Grossmann Meeting on General
Relativity, ed. T.Piran, World Scientific 1999, part A, pp.280-282. | null | null | hep-th cond-mat funct-an gr-qc math-ph math.FA math.MP | null | A direct method for obtaining the differential conservation laws in the field
theory from the principle of stationary action is proposed. The method is based
on a variation of field functions through small local transformation of a
special kind. The action of general theory of relativity are considered.
| [
{
"created": "Wed, 12 Mar 1997 07:18:09 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 1997 17:25:04 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Nov 1997 20:46:42 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Chernitskii",
"Alexander A.",
""
]
] | A direct method for obtaining the differential conservation laws in the field theory from the principle of stationary action is proposed. The method is based on a variation of field functions through small local transformation of a special kind. The action of general theory of relativity are considered. |
hep-th/0610166 | Athanasios Prikas | Athanasios Prikas | Domain walls on the surface of q-stars | 11 pages, 6 figures, to appear in Jurn. Math. Phys | J.Math.Phys.47:112503,2006 | 10.1063/1.2363254 | null | hep-th | null | We study domain-wall networks on the surface of q-stars in asymptotically
flat or anti de Sitter spacetime. We provide numerical solutions for the whole
phase space of the stable field configurations and find that the mass, radius
and particle number of the star is larger but the scalar field, responsible for
the formation of the soliton, acquires smaller values when a domain-wall
network is entrapped on the star surface.
| [
{
"created": "Sat, 14 Oct 2006 11:11:17 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Prikas",
"Athanasios",
""
]
] | We study domain-wall networks on the surface of q-stars in asymptotically flat or anti de Sitter spacetime. We provide numerical solutions for the whole phase space of the stable field configurations and find that the mass, radius and particle number of the star is larger but the scalar field, responsible for the formation of the soliton, acquires smaller values when a domain-wall network is entrapped on the star surface. |
hep-th/0404057 | Bin Wang | Bin Wang, Elcio Abdalla and Ru-Keng Su | Constraints on the dark energy from holography | Revised version, accepted for publication in Phys. Lett. B | Phys.Lett. B611 (2005) 21-26 | 10.1016/j.physletb.2005.02.026 | null | hep-th astro-ph gr-qc | null | Using the holographic principle we constrained the Friedmann equation,
modified by brane-cosmology inspired terms which accommodate dark energy
contributions in the context of extra dimensions.
| [
{
"created": "Wed, 7 Apr 2004 01:09:41 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jun 2004 15:08:37 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Feb 2005 11:37:56 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Su",
"Ru-Keng",
""
]
] | Using the holographic principle we constrained the Friedmann equation, modified by brane-cosmology inspired terms which accommodate dark energy contributions in the context of extra dimensions. |
hep-th/9508102 | Nami Fux Svaiter | A.P.C.Malbouisson and N.F.Svaiter (CBPF) | On the finite temperature $\lambda\varphi^{4}$ and Gross-Neveu models.
Is there a first order phase transition in $(\lambda\varphi^{4})_{D=3}$? | null | Physica A233 (1996) 573-583 | 10.1016/S0378-4371(96)00222-1 | null | hep-th | null | We study the behavior of two diferent models at finite temperature in a
$D$-dimensional spacetime. The first one is the $\lambda\varphi^{4}$ model and
the second one is the Gross-Neveu model. Using the one-loop approximation we
show that in the $\lambda\varphi^{4}$ model the thermal mass increase with the
temperature while the thermal coupling constant decrese with the temperature.
Using this facts we establish that in the $(\lambda\varphi^{4})_{D=3}$ model
there is a temperature $\beta^{-1}_{\star}$ above which the system can develop
a first order phase transition, where the origin corresponds to a metastable
vacuum. In the massless Gross-Neveu model, we demonstrate that for $D=3$ the
thermal correction to the coupling constant is zero. For $D\neq 3$ our results
are inconclusive.
Pacs numbers: 11.10.Ef, 11.10.Gh
| [
{
"created": "Mon, 21 Aug 1995 21:36:20 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Malbouisson",
"A. P. C.",
"",
"CBPF"
],
[
"Svaiter",
"N. F.",
"",
"CBPF"
]
] | We study the behavior of two diferent models at finite temperature in a $D$-dimensional spacetime. The first one is the $\lambda\varphi^{4}$ model and the second one is the Gross-Neveu model. Using the one-loop approximation we show that in the $\lambda\varphi^{4}$ model the thermal mass increase with the temperature while the thermal coupling constant decrese with the temperature. Using this facts we establish that in the $(\lambda\varphi^{4})_{D=3}$ model there is a temperature $\beta^{-1}_{\star}$ above which the system can develop a first order phase transition, where the origin corresponds to a metastable vacuum. In the massless Gross-Neveu model, we demonstrate that for $D=3$ the thermal correction to the coupling constant is zero. For $D\neq 3$ our results are inconclusive. Pacs numbers: 11.10.Ef, 11.10.Gh |
hep-th/0006246 | Stefan Schraml | Branislav Jurco, Stefan Schraml, Peter Schupp, Julius Wess | Enveloping algebra valued gauge transformations for non-abelian gauge
groups on non-commutative spaces | 13 pages | Eur.Phys.J.C17:521-526,2000 | 10.1007/s100520000487 | null | hep-th | null | An enveloping algebra valued gauge field is constructed, its components are
functions of the Lie algebra valued gauge field and can be constructed with the
Seiberg-Witten map. This allows the formulation of a dynamics for a finite
number of gauge field components on non-commutative spaces.
| [
{
"created": "Fri, 30 Jun 2000 15:09:24 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Jurco",
"Branislav",
""
],
[
"Schraml",
"Stefan",
""
],
[
"Schupp",
"Peter",
""
],
[
"Wess",
"Julius",
""
]
] | An enveloping algebra valued gauge field is constructed, its components are functions of the Lie algebra valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces. |
hep-th/0506262 | Dionisio Bazeia | M.N. Barreto, D. Bazeia, R. Menezes | Defect Structures in Lorentz and CPT Violating Scenarios | 9 pages, 4 figures; several new additions, main results unchanged | Phys.Rev.D73:065015,2006 | 10.1103/PhysRevD.73.065015 | null | hep-th hep-ph | null | We investigate models described by real scalar fields, searching for defect
structures in the presence of interactions which explicitly violate Lorentz and
CPT symmetries. We first deal with a single field, and we investigate a class
of models which supports traveling waves that violate Lorentz invariance. This
scenario is then generalized to the case of two (or more) real scalar fields.
In the case of two fields, in particular, we introduce another class of models,
which supports topological structures that attain a Bogomol'nyi bound, although
violating both Lorentz and CPT symmetries. An example is considered, for which
we construct the Bogomol'nyi bound and find some explicit solutions. We show
that violation of both Lorentz and CPT symmetries induces the appearance of an
asymmetry between defects and anti-defects, including the presence of linearly
stable solutions with negative energy density in their outer side.
| [
{
"created": "Thu, 30 Jun 2005 18:09:49 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2005 18:18:52 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2005 13:48:50 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Barreto",
"M. N.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Menezes",
"R.",
""
]
] | We investigate models described by real scalar fields, searching for defect structures in the presence of interactions which explicitly violate Lorentz and CPT symmetries. We first deal with a single field, and we investigate a class of models which supports traveling waves that violate Lorentz invariance. This scenario is then generalized to the case of two (or more) real scalar fields. In the case of two fields, in particular, we introduce another class of models, which supports topological structures that attain a Bogomol'nyi bound, although violating both Lorentz and CPT symmetries. An example is considered, for which we construct the Bogomol'nyi bound and find some explicit solutions. We show that violation of both Lorentz and CPT symmetries induces the appearance of an asymmetry between defects and anti-defects, including the presence of linearly stable solutions with negative energy density in their outer side. |
1801.06905 | S. I. Kruglov | S. I. Kruglov | Holographic superconductor with nonlinear arcsin-electrodynamics | 25 pages, 6 figures, minor corrections, to appear in Annalen Phys.
(Berlin) | Annalen Phys . (Berlin), Vol.530, Issue 8, 1800070 (2018) | 10.1002/andp.201800070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate holographic s-wave superconductors with nonlinear
arcsin-electrodynamics in the background of Schwarzschild anti-de Sitter black
holes. The analytical Sturm-Liouville eigenvalue problem is explored and we
assume that the scalar and electromagnetic fields do not influence on the
background metric (the probe limit). The critical temperatures of phase
transitions depending on the parameter of the model is obtained. We show that
in our case the condensation formation becomes easier compared to Born-Infeld
nonlinear electrodynamics. The critical exponent near the critical temperature
is calculated which is 1/2. With the help of the matching method we derive
analytic expressions for the condensation value and the critical temperature.
The real and imaginary parts of the conductivity in our model, making use of an
analytical method, are computed.
| [
{
"created": "Sun, 21 Jan 2018 22:55:33 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Feb 2018 17:19:36 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Apr 2018 21:51:58 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Jun 2018 16:57:16 GMT",
"version": "v4"
},
{
"c... | 2018-08-21 | [
[
"Kruglov",
"S. I.",
""
]
] | We investigate holographic s-wave superconductors with nonlinear arcsin-electrodynamics in the background of Schwarzschild anti-de Sitter black holes. The analytical Sturm-Liouville eigenvalue problem is explored and we assume that the scalar and electromagnetic fields do not influence on the background metric (the probe limit). The critical temperatures of phase transitions depending on the parameter of the model is obtained. We show that in our case the condensation formation becomes easier compared to Born-Infeld nonlinear electrodynamics. The critical exponent near the critical temperature is calculated which is 1/2. With the help of the matching method we derive analytic expressions for the condensation value and the critical temperature. The real and imaginary parts of the conductivity in our model, making use of an analytical method, are computed. |
2408.03928 | Luke Detraux | Eman Basaad, Luke A. Detraux, Alonzo R. Diaz Avalos, Alon E. Faraggi,
and Benjamin Percival | Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String
Vacua with Fixed Moduli | 16 pages, 0 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Baykara, Tarazi and Vafa discussed the existence of
quasicrystalline string vacua that contain a single neutral moduli, the
dilaton, and studied compactifications of the non-supersymmetric $SO(16)\times
SO(16)$ heterotic-string on these spaces. We discuss a specific class of
quasi-realistic string vacua with similar properties that has been known since
the late eighties and analyse the vacuum energy in several non-supersymmetric
examples that correspond to compactifications of tachyon free ten dimensional
vacua as well as compactifications of tachyonic ten dimensional vacua. Our
analysis uses the Free Fermionic Formalism of the heterotic-string in four
dimensions and employs asymmetric boundary conditions that project all the
geometrical moduli by Generalised GSO projections. This methodology produces
models with both positive and negative spacetime potential at one-loop.
| [
{
"created": "Wed, 7 Aug 2024 17:38:25 GMT",
"version": "v1"
}
] | 2024-08-08 | [
[
"Basaad",
"Eman",
""
],
[
"Detraux",
"Luke A.",
""
],
[
"Avalos",
"Alonzo R. Diaz",
""
],
[
"Faraggi",
"Alon E.",
""
],
[
"Percival",
"Benjamin",
""
]
] | Recently, Baykara, Tarazi and Vafa discussed the existence of quasicrystalline string vacua that contain a single neutral moduli, the dilaton, and studied compactifications of the non-supersymmetric $SO(16)\times SO(16)$ heterotic-string on these spaces. We discuss a specific class of quasi-realistic string vacua with similar properties that has been known since the late eighties and analyse the vacuum energy in several non-supersymmetric examples that correspond to compactifications of tachyon free ten dimensional vacua as well as compactifications of tachyonic ten dimensional vacua. Our analysis uses the Free Fermionic Formalism of the heterotic-string in four dimensions and employs asymmetric boundary conditions that project all the geometrical moduli by Generalised GSO projections. This methodology produces models with both positive and negative spacetime potential at one-loop. |
2010.11104 | Paulo Carvalho | H. A. S. Costa, P. R. S. Carvalho | Influence of conformal symmetry on the amplitude ratios for O($N$)
models | 14 pages, 4 figures | Europhys. Lett. 128, 40009 (2019) | 10.1209/0295-5075/128/40009 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we compute analytically the effect of conformal symmetry on
the radiative corrections to the amplitude ratios for O($N$) $\lambda\phi^{4}$
massless scalar field theories in curved spacetime for probing the
two-scale-factor universality hypothesis. For that we employ three distinct and
independent field-theoretic renormalization group methods. The amplitude ratios
values obtained are identical when computed through the three distinct methods,
thus showing their universal character. Furthermore, they are the same as that
obtained in flat spacetime, then satisfying the two-scale-factor universality
hypothesis.
| [
{
"created": "Wed, 21 Oct 2020 16:13:14 GMT",
"version": "v1"
}
] | 2020-10-22 | [
[
"Costa",
"H. A. S.",
""
],
[
"Carvalho",
"P. R. S.",
""
]
] | In this Letter we compute analytically the effect of conformal symmetry on the radiative corrections to the amplitude ratios for O($N$) $\lambda\phi^{4}$ massless scalar field theories in curved spacetime for probing the two-scale-factor universality hypothesis. For that we employ three distinct and independent field-theoretic renormalization group methods. The amplitude ratios values obtained are identical when computed through the three distinct methods, thus showing their universal character. Furthermore, they are the same as that obtained in flat spacetime, then satisfying the two-scale-factor universality hypothesis. |
1605.02519 | Hideki Kyono | Hideki Kyono and Kentaroh Yoshida | Supercoset construction of Yang-Baxter deformed AdS$_5\times$S$^5$
backgrounds | 32 pages, v2: typos corrected, presentation improved, v3: further
typos corrected, accepted in PTEP, v4: further typos corrected | null | null | KUNS-2624 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We proceed to study Yang-Baxter deformations of the AdS$_5\times$S$^5$
superstring with the classical Yang-Baxter equation. We make a general argument
on the supercoset construction and present the master formula to describe the
dilaton in terms of classical $r$-matrices. The supercoset construction is
explicitly performed for some classical $r$-matrices and the full backgrounds
including the Ramond-Ramond (R-R) sector and dilaton are derived. Within the
class of abelian $r$-matrices, the perfect agreement is shown for well-known
examples including gravity duals of non-commutative gauge theories,
$\gamma$-deformations of S$^5$ and Schr\"odinger spacetimes. It would be
remarkable that the supercoset construction works well, even if the resulting
backgrounds are not maximally supersymmetric. In particular, three-parameter
$\gamma$-deformations of S$^5$ and Schr\"odinger spacetimes do not preserve any
supersymmetries. As for non-abelian $r$-matrices, we will focus upon a specific
example. The resulting background does not satisfy the equation of motion of
the Neveu-Schwarz-Neveu-Schwarz (NS-NS) two-form because the R-R three-form is
not closed.
| [
{
"created": "Mon, 9 May 2016 11:04:47 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2016 05:25:41 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Aug 2016 05:27:29 GMT",
"version": "v3"
},
{
"created": "Fri, 19 Aug 2016 06:29:36 GMT",
"version": "v4"
}
] | 2016-08-22 | [
[
"Kyono",
"Hideki",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We proceed to study Yang-Baxter deformations of the AdS$_5\times$S$^5$ superstring with the classical Yang-Baxter equation. We make a general argument on the supercoset construction and present the master formula to describe the dilaton in terms of classical $r$-matrices. The supercoset construction is explicitly performed for some classical $r$-matrices and the full backgrounds including the Ramond-Ramond (R-R) sector and dilaton are derived. Within the class of abelian $r$-matrices, the perfect agreement is shown for well-known examples including gravity duals of non-commutative gauge theories, $\gamma$-deformations of S$^5$ and Schr\"odinger spacetimes. It would be remarkable that the supercoset construction works well, even if the resulting backgrounds are not maximally supersymmetric. In particular, three-parameter $\gamma$-deformations of S$^5$ and Schr\"odinger spacetimes do not preserve any supersymmetries. As for non-abelian $r$-matrices, we will focus upon a specific example. The resulting background does not satisfy the equation of motion of the Neveu-Schwarz-Neveu-Schwarz (NS-NS) two-form because the R-R three-form is not closed. |
hep-th/9407180 | Oleg Andreev | Oleg Andreev | Towards complex(rational) powers of free fields, generalized
$\beta\gamma$ systems and non-polynomial quantum field theory | 20 pages, 3 figures, LaTex, HUB-IEP-94/9 | Int.J.Mod.Phys. A10 (1995) 3221-3229 | 10.1142/S0217751X95001558 | null | hep-th | null | The $\beta\gamma$ system is generalized by complex(rational) powers of the
fields, which leads to a corresponding extension on the Fock space. Two
different approaches to compute the Green functions of the physical operators
are proposed. First the complex(rational) powers are defined via an integral
representation,that allows to compute the conformal blocks, Green functions and
structure constants of OPA. Next an approach based on a system of recursion
equations for the Green functions is developed. A number of solutions of the
system is found. A lot of possible applications is briefly discussed.
| [
{
"created": "Wed, 27 Jul 1994 10:05:59 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Andreev",
"Oleg",
""
]
] | The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed. First the complex(rational) powers are defined via an integral representation,that allows to compute the conformal blocks, Green functions and structure constants of OPA. Next an approach based on a system of recursion equations for the Green functions is developed. A number of solutions of the system is found. A lot of possible applications is briefly discussed. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.