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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1705.00373 | Steven Gubser | Steven S. Gubser | A $p$-adic version of AdS/CFT | 22 pages, 9 figures | null | null | PUPT-2523 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this summary of my talk at Strings 2016, I explain how classical dynamics
on an infinite tree graph can be dual to a conformal field theory defined over
the $p$-adic numbers. An informal introduction to $p$-adic numbers is followed
by a presentation of results on holographic three- and four-point functions.
The simplicity of $p$-adic field theories and their similarity to ordinary
field theories are illustrated through comparisons of holographic correlators
and computations of simple loop diagrams on the field theory side. I close with
a discussion of challenges and directions for future work.
| [
{
"created": "Sun, 30 Apr 2017 21:18:04 GMT",
"version": "v1"
}
] | 2017-05-02 | [
[
"Gubser",
"Steven S.",
""
]
] | In this summary of my talk at Strings 2016, I explain how classical dynamics on an infinite tree graph can be dual to a conformal field theory defined over the $p$-adic numbers. An informal introduction to $p$-adic numbers is followed by a presentation of results on holographic three- and four-point functions. The simplicity of $p$-adic field theories and their similarity to ordinary field theories are illustrated through comparisons of holographic correlators and computations of simple loop diagrams on the field theory side. I close with a discussion of challenges and directions for future work. |
hep-th/0601165 | Jonathan Bagger | Jonathan Bagger and Chi Xiong | N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions | 11 pages. References added | null | null | null | hep-th hep-ph | null | We formulate four-dimensional N=2 supersymmetric nonlinear sigma models in
N=1 superspace. We show how to add superpotentials consistent with N=2
supersymmetry. We lift our construction to higher-dimensional spacetime and
write five-dimensional nonlinear sigma models in N=1 superspace.
| [
{
"created": "Sun, 22 Jan 2006 01:35:27 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jun 2006 00:42:12 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bagger",
"Jonathan",
""
],
[
"Xiong",
"Chi",
""
]
] | We formulate four-dimensional N=2 supersymmetric nonlinear sigma models in N=1 superspace. We show how to add superpotentials consistent with N=2 supersymmetry. We lift our construction to higher-dimensional spacetime and write five-dimensional nonlinear sigma models in N=1 superspace. |
1803.03762 | Madad Ali Valuyan | M. A. Valuyan | The Dirichlet Casimir Energy for $\phi^4$ Theory in a Rectangle | 12 pages, 5 Figures | Eur. Phys. J. Plus (2018) 133: 401 | 10.1140/epjp/i2018-12206-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we present the zero and first-order radiative correction to
the Dirichlet Casimir energy for massive and massless scalar field confined in
a rectangle. This calculation procedure was conducted in two spatial dimensions
and for the case of the first-order correction term is new. The renormalization
program that we have used in this work, allows all influences from the dominant
boundary conditions (e.g. the Dirichlet boundary condition) be automatically
reflected in the counterterms. This permission usually makes the counterterms
position-dependent. Along with the renormalization program, a supplementary
regularization technique was performed in this work. In this regularization
technique, that we have named Box Subtraction Scheme (BSS), two similar
configurations were introduced and the zero point energies of these two
configurations were subtracted from each other using appropriate limits. This
regularization procedure makes the usage of any analytic continuation
techniques unnecessary. In the present work, first, we briefly present
calculation of the leading order Casimir energy for the massive scalar field in
a rectangle via BSS. Next, the first order correction to the Casimir energy is
calculated by applying the mentioned renormalization and regularization
procedures. Finally, all the necessary limits of obtained answers for both
massive and massless cases are discussed.
| [
{
"created": "Sat, 10 Mar 2018 05:50:08 GMT",
"version": "v1"
}
] | 2018-10-16 | [
[
"Valuyan",
"M. A.",
""
]
] | In this article, we present the zero and first-order radiative correction to the Dirichlet Casimir energy for massive and massless scalar field confined in a rectangle. This calculation procedure was conducted in two spatial dimensions and for the case of the first-order correction term is new. The renormalization program that we have used in this work, allows all influences from the dominant boundary conditions (e.g. the Dirichlet boundary condition) be automatically reflected in the counterterms. This permission usually makes the counterterms position-dependent. Along with the renormalization program, a supplementary regularization technique was performed in this work. In this regularization technique, that we have named Box Subtraction Scheme (BSS), two similar configurations were introduced and the zero point energies of these two configurations were subtracted from each other using appropriate limits. This regularization procedure makes the usage of any analytic continuation techniques unnecessary. In the present work, first, we briefly present calculation of the leading order Casimir energy for the massive scalar field in a rectangle via BSS. Next, the first order correction to the Casimir energy is calculated by applying the mentioned renormalization and regularization procedures. Finally, all the necessary limits of obtained answers for both massive and massless cases are discussed. |
1210.4063 | Lisa Glaser | Lisa Glaser | Coupling Dimers to CDT | 4 pages, 4 figures, Contribution to the proceedings of "Relativity
and Gravitation - 100 years after Einstein in Prague" (Prague, June 2012), v2
references added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This contribution reviews some recent results on dimers coupled to CDT. A
bijective mapping between dimers and tree-like graphs allows for a simple way
to introduce dimers to CDT. This can be generalized further to obtain different
multicritcal points.
| [
{
"created": "Mon, 15 Oct 2012 15:12:46 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2012 13:36:45 GMT",
"version": "v2"
}
] | 2012-10-31 | [
[
"Glaser",
"Lisa",
""
]
] | This contribution reviews some recent results on dimers coupled to CDT. A bijective mapping between dimers and tree-like graphs allows for a simple way to introduce dimers to CDT. This can be generalized further to obtain different multicritcal points. |
hep-th/9202040 | Jose M. Figueroa-O'Farrill | Jose M. Figueroa-O'Farrill and Eduardo Ramos | The Classical Limit of W-Algebras | (14 pages) | Phys.Lett. B282 (1992) 357-364 | 10.1016/0370-2693(92)90652-K | null | hep-th | null | We define and compute explicitly the classical limit of the realizations of
$W_n$ appearing as hamiltonian structures of generalized KdV hierarchies. The
classical limit is obtained by taking the commutative limit of the ring of
pseudodifferential operators. These algebras---denoted $w_n$---have free field
realizations in which the generators are given by the elementary symmetric
polynomials in the free fields. We compute the algebras explicitly and we show
that they are all reductions of a new algebra $w_{\rm KP}$, which is proposed
as the universal classical $W$-algebra for the $w_n$ series. As a deformation
of this algebra we also obtain $w_{1+\infty}$, the classical limit of
$W_{1+\infty}$.
| [
{
"created": "Wed, 12 Feb 1992 16:46:38 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Figueroa-O'Farrill",
"Jose M.",
""
],
[
"Ramos",
"Eduardo",
""
]
] | We define and compute explicitly the classical limit of the realizations of $W_n$ appearing as hamiltonian structures of generalized KdV hierarchies. The classical limit is obtained by taking the commutative limit of the ring of pseudodifferential operators. These algebras---denoted $w_n$---have free field realizations in which the generators are given by the elementary symmetric polynomials in the free fields. We compute the algebras explicitly and we show that they are all reductions of a new algebra $w_{\rm KP}$, which is proposed as the universal classical $W$-algebra for the $w_n$ series. As a deformation of this algebra we also obtain $w_{1+\infty}$, the classical limit of $W_{1+\infty}$. |
hep-th/0206250 | Post Doc | Guang-Jiong Ni | Ten arguments for the essence of special relativity | 23 pages, no figures, no other comments | null | null | null | hep-th | null | In searching for the essence of special relativity, we have been gradually
accumulating ten arguments focusing on one fundamental postulate based on
quantum mechanics.A particle is always not pure. It always contain two
contradictory fields, $\phi(\vec{x},t)$ and $\chi(\vec{x},t)$,which are coupled
together with the symmetry $\phi(-\vec{x},-t)\longrightarrow\chi(\vec{x},t)$
and $\chi(-\vec{x},-t)\longrightarrow\phi(\vec{x},t)$.
| [
{
"created": "Fri, 28 Jun 2002 01:26:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ni",
"Guang-Jiong",
""
]
] | In searching for the essence of special relativity, we have been gradually accumulating ten arguments focusing on one fundamental postulate based on quantum mechanics.A particle is always not pure. It always contain two contradictory fields, $\phi(\vec{x},t)$ and $\chi(\vec{x},t)$,which are coupled together with the symmetry $\phi(-\vec{x},-t)\longrightarrow\chi(\vec{x},t)$ and $\chi(-\vec{x},-t)\longrightarrow\phi(\vec{x},t)$. |
1402.6795 | Leonardo Modesto | Leonardo Modesto | Multidimensional finite quantum gravity | 8 pages, 2 figures | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We advance a class of unitary higher derivative theories of gravity that
realize an ultraviolet completion of Einstein general relativity in any
dimension. This range of theories is marked by an entire function, which averts
extra degrees of freedom (including poltergeists) and improves the high energy
behavior of the loop amplitudes. It is proved that only one-loop divergences
survive and the theory can be made super-renormalizable regardless of the
spacetime dimension. Moreover, using the Pauli-Villars regularization procedure
introduced by Diaz-Troost-van Nieuwenhuizen-van Proeyen (DTPN) and applied to
Einstein's gravity by Anselmi, we are able to remove the divergences also at
one-loop, making the theory completely finite in any dimension as expected by
Anselmi and Asorey-Lopez-Shapiro.
| [
{
"created": "Thu, 27 Feb 2014 06:25:06 GMT",
"version": "v1"
}
] | 2014-02-28 | [
[
"Modesto",
"Leonardo",
""
]
] | We advance a class of unitary higher derivative theories of gravity that realize an ultraviolet completion of Einstein general relativity in any dimension. This range of theories is marked by an entire function, which averts extra degrees of freedom (including poltergeists) and improves the high energy behavior of the loop amplitudes. It is proved that only one-loop divergences survive and the theory can be made super-renormalizable regardless of the spacetime dimension. Moreover, using the Pauli-Villars regularization procedure introduced by Diaz-Troost-van Nieuwenhuizen-van Proeyen (DTPN) and applied to Einstein's gravity by Anselmi, we are able to remove the divergences also at one-loop, making the theory completely finite in any dimension as expected by Anselmi and Asorey-Lopez-Shapiro. |
hep-th/0211271 | Iosif L. Bena | Iosif Bena, Radu Roiban and Radu Tatar | Baryons, Boundaries and Matrix Models | 28 pages, latex | Nucl.Phys. B679 (2004) 168-188 | 10.1016/j.nuclphysb.2003.10.045 | null | hep-th | null | A natural extension of the Dijkgraaf-Vafa proposal is to include fields in
the fundamental representation of the gauge group. In this paper we use field
theory techniques to analyze gauge theories whose tree level superpotential is
a generic polynomial in multi-trace operators constructed out of such fields.
We show that the effective superpotential is generated by planar diagrams with
at most one (generalized) boundary. This justifies the proposal put forward in
hep-th/0211075.
We then proceed to extend the gauge theory-matrix model duality to include
baryonic operators. We obtain the full moduli space of vacua for an U(N) theory
with N flavors. We also outline a program leading to a string theory
justification of the gauge theory-matrix model correspondence with fundamental
matter.
| [
{
"created": "Thu, 28 Nov 2002 03:57:01 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bena",
"Iosif",
""
],
[
"Roiban",
"Radu",
""
],
[
"Tatar",
"Radu",
""
]
] | A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in hep-th/0211075. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter. |
1810.12468 | Giorgio Torrieri | Giorgio Torrieri | Swimming and swirling colorful ghosts | Accepted for publication in EPJA Although the conclusions are
basically the same, the argument and presentation were expanded, clarified
and improved greatly | null | null | null | hep-th hep-ph nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the ideal fluid limit, defined as the existance of a flow frame
$u_\mu$ with respect to which the fluid is homogeneus and isotropic, and the
consequent independence of the equation of state on $u_\mu$, is incompatible
with non-Abelian gauge theory. Instead, the equation of state becomes dependent
on $u_\mu$ via modes which are roughly equivalent to ghost modes in the
hydrodynamic limit. These modes can be physically imagined as a field of
'purcell swimmers' whose 'arms and legs' are outstretched in Gauge space. Also,
vorticity should couple to the Wilson loop via the chromo-electro-magnetic
field tensor, which in this limit is not a 'force' but instead represents the
polarization tensor of the gluons. We show that because of this coupling
vorticity also aquires swirling non-hydrodynamic modes. We then argue that
these swirling and swimming non-hydodynamic modes are the manifestation of
gauge redunancy within local equilibrium, and speculate on their role in
quark-gluon plasma thermalization
| [
{
"created": "Tue, 30 Oct 2018 00:40:47 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 2020 16:33:31 GMT",
"version": "v2"
}
] | 2020-03-10 | [
[
"Torrieri",
"Giorgio",
""
]
] | We show that the ideal fluid limit, defined as the existance of a flow frame $u_\mu$ with respect to which the fluid is homogeneus and isotropic, and the consequent independence of the equation of state on $u_\mu$, is incompatible with non-Abelian gauge theory. Instead, the equation of state becomes dependent on $u_\mu$ via modes which are roughly equivalent to ghost modes in the hydrodynamic limit. These modes can be physically imagined as a field of 'purcell swimmers' whose 'arms and legs' are outstretched in Gauge space. Also, vorticity should couple to the Wilson loop via the chromo-electro-magnetic field tensor, which in this limit is not a 'force' but instead represents the polarization tensor of the gluons. We show that because of this coupling vorticity also aquires swirling non-hydrodynamic modes. We then argue that these swirling and swimming non-hydodynamic modes are the manifestation of gauge redunancy within local equilibrium, and speculate on their role in quark-gluon plasma thermalization |
0704.0064 | Rudra Prakash Malik | R. P. Malik (Bhu) | Nilpotent symmetry invariance in the superfield formulation: the
(non-)Abelian 1-form gauge theories | LaTeX file, 19 pages, journal reference | Int.J.Mod.Phys.A23:3685-3705,2008 | 10.1142/S0217751X08041591 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We capture the off-shell as well as the on-shell nilpotent
Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the
Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form
gauge theories within the framework of the superfield formalism. In particular,
we provide the geometrical interpretations for (i) the above nilpotent symmetry
invariance, and (ii) the above Lagrangian densities, in the language of the
specific quantities defined in the domain of the above superfield formalism.
Some of the subtle points, connected with the 4D (non-)Abelian 1-form gauge
theories, are clarified within the framework of the above superfield formalism
where the 4D ordinary gauge theories are considered on the (4, 2)-dimensional
supermanifold parametrized by the four spacetime coordinates x^\mu (with \mu =
0, 1, 2, 3) and a pair of Grassmannian variables \theta and \bar\theta. One of
the key results of our present investigation is a great deal of simplification
in the geometrical understanding of the nilpotent (anti-)BRST symmetry
invariance.
| [
{
"created": "Sun, 1 Apr 2007 13:32:15 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2007 16:35:49 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Dec 2007 13:31:19 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Jun 2008 11:21:43 GMT",
"version": "v4"
},
{
"creat... | 2008-11-26 | [
[
"Malik",
"R. P.",
"",
"Bhu"
]
] | We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invariance, and (ii) the above Lagrangian densities, in the language of the specific quantities defined in the domain of the above superfield formalism. Some of the subtle points, connected with the 4D (non-)Abelian 1-form gauge theories, are clarified within the framework of the above superfield formalism where the 4D ordinary gauge theories are considered on the (4, 2)-dimensional supermanifold parametrized by the four spacetime coordinates x^\mu (with \mu = 0, 1, 2, 3) and a pair of Grassmannian variables \theta and \bar\theta. One of the key results of our present investigation is a great deal of simplification in the geometrical understanding of the nilpotent (anti-)BRST symmetry invariance. |
1612.07991 | Jerem\'ias Aguilera Damia | Jeremias Aguilera-Damia, Diego H. Correa, Victor I. Giraldo-Rivera | Circular Wilson loops in defect Conformal Field Theory | 24 pages | null | 10.1007/JHEP03(2017)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a D3-D5 system dual to a conformal field theory with a
codimension-one defect that separates regions where the ranks of the gauge
groups differ by $k$. With the help of this additional parameter, as observed
by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in
which the quantum corrections are organized in powers of $\lambda/k^2$, which
should allow to extrapolate results between weak and strong coupling regimes.
In particular we consider a radius $R$ circular Wilson loop placed at a
distance $L$, whose internal space orientation is given by an angle $\chi$. We
compute its vacuum expectation value and show that, in the double scaling limit
and for small $\chi$ and small $L/R$, weak coupling results can be extrapolated
to the strong coupling limit.
| [
{
"created": "Fri, 23 Dec 2016 14:58:30 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2017 20:25:42 GMT",
"version": "v2"
}
] | 2017-04-05 | [
[
"Aguilera-Damia",
"Jeremias",
""
],
[
"Correa",
"Diego H.",
""
],
[
"Giraldo-Rivera",
"Victor I.",
""
]
] | We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by $k$. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of $\lambda/k^2$, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius $R$ circular Wilson loop placed at a distance $L$, whose internal space orientation is given by an angle $\chi$. We compute its vacuum expectation value and show that, in the double scaling limit and for small $\chi$ and small $L/R$, weak coupling results can be extrapolated to the strong coupling limit. |
1901.08527 | Kyriakos Papadodimas | Jan de Boer, Rik van Breukelen, Sagar F. Lokhande, Kyriakos
Papadodimas, Erik Verlinde | Probing typical black hole microstates | 77 pages | null | 10.1007/JHEP01(2020)062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the possibility that the geometry dual to a typical AdS black
hole microstate corresponds to the extended AdS-Schwarzschild geometry,
including a region spacelike to the exterior. We argue that this region can be
described by the mirror operators, a set of state-dependent operators in the
dual CFT. We probe the geometry of a typical state by considering
state-dependent deformations of the CFT Hamiltonian, which have an
interpretation as a one-sided analogue of the Gao-Jafferis-Wall traversable
wormhole protocol for typical states. We argue that the validity of the
conjectured bulk geometry requires that out-of-time-order correlators of simple
CFT operators on typical pure states must exhibit the same chaotic effects as
thermal correlators at scrambling time. This condition is related to the
question of whether the product of operators separated by scrambling time obey
the Eigenstate Thermalization Hypothesis. We investigate some of these
statements in the SYK model and discuss similarities with state-dependent
perturbations of pure states in the SYK model previously considered by
Kourkoulou and Maldacena. Finally, we discuss how the mirror operators can be
used to implement an analogue of the Hayden-Preskill protocol.
| [
{
"created": "Thu, 24 Jan 2019 17:44:56 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"de Boer",
"Jan",
""
],
[
"van Breukelen",
"Rik",
""
],
[
"Lokhande",
"Sagar F.",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Verlinde",
"Erik",
""
]
] | We investigate the possibility that the geometry dual to a typical AdS black hole microstate corresponds to the extended AdS-Schwarzschild geometry, including a region spacelike to the exterior. We argue that this region can be described by the mirror operators, a set of state-dependent operators in the dual CFT. We probe the geometry of a typical state by considering state-dependent deformations of the CFT Hamiltonian, which have an interpretation as a one-sided analogue of the Gao-Jafferis-Wall traversable wormhole protocol for typical states. We argue that the validity of the conjectured bulk geometry requires that out-of-time-order correlators of simple CFT operators on typical pure states must exhibit the same chaotic effects as thermal correlators at scrambling time. This condition is related to the question of whether the product of operators separated by scrambling time obey the Eigenstate Thermalization Hypothesis. We investigate some of these statements in the SYK model and discuss similarities with state-dependent perturbations of pure states in the SYK model previously considered by Kourkoulou and Maldacena. Finally, we discuss how the mirror operators can be used to implement an analogue of the Hayden-Preskill protocol. |
1605.06128 | Maren Stein | Maren Stein | Perturbative Construction of Stationary Randall-Sundrum II Black Holes
on a 5-Brane | 25 pages, 14 figures, v2: references added | null | 10.1007/JHEP09(2016)067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically construct large Randall-Sundrum II brane black holes in 4 and
5 dimensions from associated AdS/CFT spacetimes. Our solutions are leading
order perturbations of a representative of the boundary conformal structure of
the AdS spacetime sourced by the dual CFT stress tensor. The 4-dimensional
solutions are static perturbations of the Euclidean Schwarzschild metric, while
the 5-dimensional solutions are perturbations of the Myers-Perry metric with
equal angular momenta. We compare the former with previous numerical results
for Randall-Sundrum bulk black holes and find good agreement down to a horizon
radius of about rH ~30l. The latter are the first numerical results pertaining
to rotating Randall-Sundrum black holes. They have the same entropy, but a
larger horizon area than Myers-Perry black holes of the same mass and angular
momentum.
| [
{
"created": "Thu, 19 May 2016 20:12:17 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Aug 2016 12:09:07 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Stein",
"Maren",
""
]
] | We numerically construct large Randall-Sundrum II brane black holes in 4 and 5 dimensions from associated AdS/CFT spacetimes. Our solutions are leading order perturbations of a representative of the boundary conformal structure of the AdS spacetime sourced by the dual CFT stress tensor. The 4-dimensional solutions are static perturbations of the Euclidean Schwarzschild metric, while the 5-dimensional solutions are perturbations of the Myers-Perry metric with equal angular momenta. We compare the former with previous numerical results for Randall-Sundrum bulk black holes and find good agreement down to a horizon radius of about rH ~30l. The latter are the first numerical results pertaining to rotating Randall-Sundrum black holes. They have the same entropy, but a larger horizon area than Myers-Perry black holes of the same mass and angular momentum. |
1011.1235 | Oliver Schlotterer | Oliver Schlotterer | Higher Spin Scattering in Superstring Theory | 31 pages; v3: final version published in Nuclear Physics B | Nucl.Phys.B849:433-460,2011 | 10.1016/j.nuclphysb.2011.03.026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute scattering amplitudes of leading Regge trajectory states in open
superstring theories. Highest spin states at mass level n with spin s=n+1 for
bosons and s=n+1/2 for fermions are generated by particularly simple vertex
operators. Hence, the cubic couplings of bosons and fermions on the leading
Regge trajectory are given for arbitrary n. The same can be achieved for higher
point amplitudes, and this article focuses on four point level with one heavy
maximum spin state and three massless states in any bose-fermi combination,
putting particular emphasis on manifest cyclic symmetry. Except for the four
fermion coupling, all our results remain valid in any D<10 dimensional
compactification scenario, so they might become relevant at LHC in case of an
experimentally accessible low string scale. But even if not directly
observable, superstring amplitudes provide important clues on higher spin
dynamics and their consistent interactions in field theory.
| [
{
"created": "Thu, 4 Nov 2010 18:44:06 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Nov 2010 18:17:26 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jun 2011 09:16:40 GMT",
"version": "v3"
}
] | 2011-06-20 | [
[
"Schlotterer",
"Oliver",
""
]
] | We compute scattering amplitudes of leading Regge trajectory states in open superstring theories. Highest spin states at mass level n with spin s=n+1 for bosons and s=n+1/2 for fermions are generated by particularly simple vertex operators. Hence, the cubic couplings of bosons and fermions on the leading Regge trajectory are given for arbitrary n. The same can be achieved for higher point amplitudes, and this article focuses on four point level with one heavy maximum spin state and three massless states in any bose-fermi combination, putting particular emphasis on manifest cyclic symmetry. Except for the four fermion coupling, all our results remain valid in any D<10 dimensional compactification scenario, so they might become relevant at LHC in case of an experimentally accessible low string scale. But even if not directly observable, superstring amplitudes provide important clues on higher spin dynamics and their consistent interactions in field theory. |
1407.8324 | Eynard Bertrand | B. Eynard (IPHT CEA Saclay, CRM) | Another algebraic variational principle for the spectral curve of matrix
models | 21 pages | null | null | IPHT:14/037 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an alternative variational principle whose critical point is the
algebraic plane curve associated to a matrix model (the spectral curve, i.e.
the large $N$ limit of the resolvent). More generally, we consider a
variational principle that is equivalent to the problem of finding a plane
curve with given asymptotics and given cycle integrals. This variational
principle is not given by extremization of the energy, but by the extremization
of an "entropy".
| [
{
"created": "Thu, 31 Jul 2014 09:13:25 GMT",
"version": "v1"
}
] | 2014-08-01 | [
[
"Eynard",
"B.",
"",
"IPHT CEA Saclay, CRM"
]
] | We propose an alternative variational principle whose critical point is the algebraic plane curve associated to a matrix model (the spectral curve, i.e. the large $N$ limit of the resolvent). More generally, we consider a variational principle that is equivalent to the problem of finding a plane curve with given asymptotics and given cycle integrals. This variational principle is not given by extremization of the energy, but by the extremization of an "entropy". |
1707.01505 | Li Li | Sera Cremonini, Anthony Hoover, Li Li | Backreacted DBI Magnetotransport with Momentum Dissipation | 34 pages, 9 figures; v2: references added, minor improvements, to
appear in JHEP | null | 10.1007/JHEP10(2017)133 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine magnetotransport in a holographic Dirac-Born-Infeld model, taking
into account the effects of backreaction on the geometry. The theory we
consider includes axionic scalars, introduced to break translational symmetry
and generate momentum dissipation. The generic structure of the DC conductivity
matrix for these theories is extremely rich, and is significantly more complex
than that obtained in the probe approximation. We find new classes of black
brane solutions, including geometries that exhibit Lifshitz scaling and
hyperscaling violation, and examine their implications on the transport
properties of the system. Depending on the choice of theory parameters, these
backgrounds can lead to metallic or insulating behavior. Negative
magnetoresistance is observed in a family of dynoic solutions. Some of the new
backreacted geometries also support magnetic-field-induced metal-insulator
transitions.
| [
{
"created": "Wed, 5 Jul 2017 18:00:18 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2017 14:14:19 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Cremonini",
"Sera",
""
],
[
"Hoover",
"Anthony",
""
],
[
"Li",
"Li",
""
]
] | We examine magnetotransport in a holographic Dirac-Born-Infeld model, taking into account the effects of backreaction on the geometry. The theory we consider includes axionic scalars, introduced to break translational symmetry and generate momentum dissipation. The generic structure of the DC conductivity matrix for these theories is extremely rich, and is significantly more complex than that obtained in the probe approximation. We find new classes of black brane solutions, including geometries that exhibit Lifshitz scaling and hyperscaling violation, and examine their implications on the transport properties of the system. Depending on the choice of theory parameters, these backgrounds can lead to metallic or insulating behavior. Negative magnetoresistance is observed in a family of dynoic solutions. Some of the new backreacted geometries also support magnetic-field-induced metal-insulator transitions. |
hep-th/9812011 | Jianxin Lu | J. X. Lu and Shibaji Roy | On the Construction of SL(2,Z) Type IIB 5-Branes | A reference added | Published in the proceedings of the Trieste Conference on
Superfivebranes and Physics in 5 + 1 dimensions, April 1998 | null | CTP-TAMU-48/98, SINP-TNP/98-30 | hep-th | null | This talk reviews our recent work on the construction of SL(2,Z) multiplets
of type IIB superfivebranes. We here pay particular attention to the methods
employed and some salient features of the solutions.
| [
{
"created": "Tue, 1 Dec 1998 20:13:05 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2004 19:56:22 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Lu",
"J. X.",
""
],
[
"Roy",
"Shibaji",
""
]
] | This talk reviews our recent work on the construction of SL(2,Z) multiplets of type IIB superfivebranes. We here pay particular attention to the methods employed and some salient features of the solutions. |
hep-th/9305097 | null | S.G. Naculich, H.A. Riggs, and H.J. Schnitzer | Two-dimensional Yang-Mills Theories Are String Theories | (two references added; one old, one recent) 14pages, Latex,
BRX-TH-346, JHU-TIPAC-930015 | Mod.Phys.Lett.A8:2223-2236,1993 | 10.1142/S0217732393001951 | null | hep-th hep-ph | null | We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without
fermions can be interpreted as closed string theories. The terms in the 1/N
expansion of the partition function on an orientable or nonorientable manifold
M can be associated with maps from a string worldsheet onto M. These maps are
unbranched and branched covers of M with an arbitrary number of infinitesimal
worldsheet cross-caps mapped to points in M. These string theories differ from
SU(N) Yang-Mills string theory in that they involve odd powers of 1/N and
require both orientable and nonorientable worldsheets.
| [
{
"created": "Fri, 21 May 1993 03:07:00 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 1993 15:29:00 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Naculich",
"S. G.",
""
],
[
"Riggs",
"H. A.",
""
],
[
"Schnitzer",
"H. J.",
""
]
] | We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be associated with maps from a string worldsheet onto M. These maps are unbranched and branched covers of M with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in M. These string theories differ from SU(N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets. |
1906.11430 | Yusuke Yamada | Yusuke Yamada, Jun'ichi Yokoyama | Horndeski model in nonlinearly realized supergravity | 5 pages | null | 10.1007/JHEP12(2019)041 | RESCEU 9/19 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the Horndeski Lagrangian within non-linearly realized
supergravity. We will show that the bosonic part of the Horndeski Lagrangian
can be realized. Gravitino naturally couples to Horndeski sector in a
super-covariant way. Such gravitino couplings are also free from ghosts.
| [
{
"created": "Thu, 27 Jun 2019 04:23:23 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Yamada",
"Yusuke",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | We construct the Horndeski Lagrangian within non-linearly realized supergravity. We will show that the bosonic part of the Horndeski Lagrangian can be realized. Gravitino naturally couples to Horndeski sector in a super-covariant way. Such gravitino couplings are also free from ghosts. |
1907.03878 | Masaki Shigemori | Masaki Shigemori | Counting Superstrata | References added | JHEP10(2019)017 | 10.1007/JHEP10(2019)017 | YITP-19-61 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We count the number of regular supersymmetric solutions in supergravity,
called superstrata, that represent non-linear completion of linear fluctuations
around empty AdS_3 x S^3. These solutions carry the same charges as the D1-D5-P
black hole and represent its microstates. We estimate the entropy using
thermodynamic approximation and find that it is parametrically smaller than the
area-entropy of the D1-D5-P black hole. Therefore, these superstrata based on
AdS_3 x S^3 are not typical microstates of the black hole. What are missing in
the superstrata based on AdS_3 x S^3 are higher and fractional modes in the
dual CFT language. We speculate on what kind of other configurations to look at
as possible realization of those modes in gravity picture, such as superstrata
based on other geometries, as well as other brane configurations.
| [
{
"created": "Mon, 8 Jul 2019 21:22:55 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Oct 2019 05:18:40 GMT",
"version": "v2"
}
] | 2019-10-08 | [
[
"Shigemori",
"Masaki",
""
]
] | We count the number of regular supersymmetric solutions in supergravity, called superstrata, that represent non-linear completion of linear fluctuations around empty AdS_3 x S^3. These solutions carry the same charges as the D1-D5-P black hole and represent its microstates. We estimate the entropy using thermodynamic approximation and find that it is parametrically smaller than the area-entropy of the D1-D5-P black hole. Therefore, these superstrata based on AdS_3 x S^3 are not typical microstates of the black hole. What are missing in the superstrata based on AdS_3 x S^3 are higher and fractional modes in the dual CFT language. We speculate on what kind of other configurations to look at as possible realization of those modes in gravity picture, such as superstrata based on other geometries, as well as other brane configurations. |
2004.07843 | Steven B. Giddings | Steven B. Giddings | Holography and unitarity | 20 pages, 3 figures, harvmac | null | 10.1007/JHEP11(2020)056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If holography is an equivalence between quantum theories, one might expect it
to be described by a map that is a bijective isometry between bulk and boundary
Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been
believed to be a property of gravitational (or string) theories, but not of
non-gravitational theories; specifically Marolf has argued that it originates
from the gauge symmetries and constraints of gravity. These observations
suggest study of the assumed holographic map as a function of the gravitational
coupling $G$. The zero coupling limit gives ordinary quantum field theory, and
is therefore not necessarily expected to be holographic. This, and the
structure of gravity at non-zero $G$, raises important questions about the full
map. In particular, construction of a holographic map appears to require as
input a solution of the nonperturbative analog of the bulk gravitational
constraints, that is, the unitary bulk evolution. Moreover, examination of the
candidate boundary algebra, including the boundary hamiltonian, reveals
commutators that don't close in the usual fashion expected for a boundary
theory.
| [
{
"created": "Thu, 16 Apr 2020 18:00:00 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Giddings",
"Steven B.",
""
]
] | If holography is an equivalence between quantum theories, one might expect it to be described by a map that is a bijective isometry between bulk and boundary Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been believed to be a property of gravitational (or string) theories, but not of non-gravitational theories; specifically Marolf has argued that it originates from the gauge symmetries and constraints of gravity. These observations suggest study of the assumed holographic map as a function of the gravitational coupling $G$. The zero coupling limit gives ordinary quantum field theory, and is therefore not necessarily expected to be holographic. This, and the structure of gravity at non-zero $G$, raises important questions about the full map. In particular, construction of a holographic map appears to require as input a solution of the nonperturbative analog of the bulk gravitational constraints, that is, the unitary bulk evolution. Moreover, examination of the candidate boundary algebra, including the boundary hamiltonian, reveals commutators that don't close in the usual fashion expected for a boundary theory. |
hep-th/9203048 | null | F.Bonechi, E.Celeghini, R.Giachetti, E.Sorace and M.Tarlini | Quantum Galilei Group as Symmetry of Magnons | 10 pags. 0 figs | Phys.Rev. B46 (1992) 5727-5730 | 10.1103/PhysRevB.46.5727 | null | hep-th | null | Inhomogeneous quantum groups are shown to be an effective algebraic tool in
the study of integrable systems and to provide solutions equivalent to the
Bethe ansatz. The method is illustrated on the 1D Heisenberg ferromagnet whose
symmetry is shown to be the quantum Galilei group Gamma_q(1) here introduced.
Both the single magnon and the s=1/2 bound states of n-magnons are completely
described by the algebra.
| [
{
"created": "Wed, 18 Mar 1992 15:22:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bonechi",
"F.",
""
],
[
"Celeghini",
"E.",
""
],
[
"Giachetti",
"R.",
""
],
[
"Sorace",
"E.",
""
],
[
"Tarlini",
"M.",
""
]
] | Inhomogeneous quantum groups are shown to be an effective algebraic tool in the study of integrable systems and to provide solutions equivalent to the Bethe ansatz. The method is illustrated on the 1D Heisenberg ferromagnet whose symmetry is shown to be the quantum Galilei group Gamma_q(1) here introduced. Both the single magnon and the s=1/2 bound states of n-magnons are completely described by the algebra. |
hep-th/9304047 | Sasha Gorsky | A.Gorsky and N.Nekrasov | Hamiltonian systems of Calogero type and two dimensional Yang-Mills
theory | 34 pages,UUITP-6/93 and ITEP-20/93 | Nucl.Phys. B414 (1994) 213-238 | 10.1016/0550-3213(94)90429-4 | null | hep-th | null | We obtain integral representations for the wave functions of Calogero-type
systems,corresponding to the finite-dimentional Lie algebras,using exact
evaluation of path integral.We generalize these systems to the case of the
Kac-Moody algebras and observe the connection of them with the two dimensional
Yang-Mills theory.We point out that Calogero-Moser model and the models of
Calogero type like Sutherland one can be obtained either classically by some
reduction from two dimensional Yang-Mills theory with appropriate sources or
even at quantum level by taking some scaling limit.We investigate large k limit
and observe a relation with Generalized Kontsevich Model.
| [
{
"created": "Mon, 12 Apr 1993 19:44:10 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gorsky",
"A.",
""
],
[
"Nekrasov",
"N.",
""
]
] | We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We generalize these systems to the case of the Kac-Moody algebras and observe the connection of them with the two dimensional Yang-Mills theory.We point out that Calogero-Moser model and the models of Calogero type like Sutherland one can be obtained either classically by some reduction from two dimensional Yang-Mills theory with appropriate sources or even at quantum level by taking some scaling limit.We investigate large k limit and observe a relation with Generalized Kontsevich Model. |
1411.0036 | Jayanth T N | Cristian Armendariz-Picon, Jayanth T. Neelakanta and Riccardo Penco | General Covariance Constraints on Cosmological Correlators | null | null | 10.1088/1475-7516/2015/01/035 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the extent to which diffeomorphism invariance restricts the
properties of the primordial perturbations in single scalar field models. We
derive a set of identities that constrain the connected correlators of the
cosmological perturbations, as well as the one-particle-irreducible vertices of
the theory in any gauge. These identities are the analogues of Slavnov-Taylor
identities in gauge theories, and follow essentially from diffeomorphism
invariance alone. Yet because quantization requires diffeomorphism invariance
to be broken, they not only reflect invariance under diffeomorphisms, but also
how the latter has been broken by gauge fixing terms. In order to not lose the
symmetry altogether, we cannot simply set some fields to zero, as is usually
done in cosmological perturbation theory, but need to decouple them smoothly
and make sure that they do not contribute to cosmological correlators in the
decoupling limit. We use these identities to derive a set of consistency
relations between bispectra and power spectra of cosmological perturbations in
different gauges. Without additional assumptions, these consistency relations
just seem to reflect the redundancy implied by diffeomorphisms. But when
combined with analyticity, in a formulation of the theory in which auxiliary
fields have been integrated out, we recover novel and previously derived
relations that follow from invariance under both time and spatial
diffeomorphisms.
| [
{
"created": "Fri, 31 Oct 2014 22:09:18 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Armendariz-Picon",
"Cristian",
""
],
[
"Neelakanta",
"Jayanth T.",
""
],
[
"Penco",
"Riccardo",
""
]
] | We study the extent to which diffeomorphism invariance restricts the properties of the primordial perturbations in single scalar field models. We derive a set of identities that constrain the connected correlators of the cosmological perturbations, as well as the one-particle-irreducible vertices of the theory in any gauge. These identities are the analogues of Slavnov-Taylor identities in gauge theories, and follow essentially from diffeomorphism invariance alone. Yet because quantization requires diffeomorphism invariance to be broken, they not only reflect invariance under diffeomorphisms, but also how the latter has been broken by gauge fixing terms. In order to not lose the symmetry altogether, we cannot simply set some fields to zero, as is usually done in cosmological perturbation theory, but need to decouple them smoothly and make sure that they do not contribute to cosmological correlators in the decoupling limit. We use these identities to derive a set of consistency relations between bispectra and power spectra of cosmological perturbations in different gauges. Without additional assumptions, these consistency relations just seem to reflect the redundancy implied by diffeomorphisms. But when combined with analyticity, in a formulation of the theory in which auxiliary fields have been integrated out, we recover novel and previously derived relations that follow from invariance under both time and spatial diffeomorphisms. |
hep-th/9911050 | A. Khare | Avinash Khare | The Contribution of Instanton-Antiinstanton Fluctuations to the Ground
State Energy in Supersymmetric Quantum Mechanical Models | 7 pages, no figures | null | null | IP-BBSR/84-20, October 1984, SLAC-PPF T8447 | hep-th quant-ph | null | I show that the method of finding if the ground state energy is nonzero or
not by saturating the functional integral directly with
instanton-anti-instanton type fluctuations is not reliable either for the
double or for the triple well potential models in supersymmetric quantum
mechanics.
| [
{
"created": "Mon, 8 Nov 1999 03:32:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khare",
"Avinash",
""
]
] | I show that the method of finding if the ground state energy is nonzero or not by saturating the functional integral directly with instanton-anti-instanton type fluctuations is not reliable either for the double or for the triple well potential models in supersymmetric quantum mechanics. |
hep-th/0506085 | Pedro J. Silva | Matteo Boni and Pedro J. Silva | Revisiting the D1/D5 System or Bubbling in AdS_3 | 19 pages, 6 figures, typos corrected, final version to appear in JHEP | JHEP 0510 (2005) 070 | 10.1088/1126-6708/2005/10/070 | IFUM-835-FT | hep-th | null | In this article we study the relation between the bubbling construction and
the Mathur's microscopic solutions for the D1/D5 system. We have found that the
regular near horizon D1/D5 system (after appropriated constraints are imposed)
contains all the bubbling regular solutions. Then, we show that the features of
this system are rather different from the bubbling in $AdS_5\times S^5$, since
the perimeter and not the area plays a key role. After setting the main
dictionary between the two approaches, we investigate on extensions to
non-regular solutions like conical defects and/or naked singular solutions. In
particular, among the latter metrics, closed time-like curves are found
together with a chronology protection mechanism enforced by the AdS/CFT
duality.
| [
{
"created": "Fri, 10 Jun 2005 12:30:34 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2005 13:33:49 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Boni",
"Matteo",
""
],
[
"Silva",
"Pedro J.",
""
]
] | In this article we study the relation between the bubbling construction and the Mathur's microscopic solutions for the D1/D5 system. We have found that the regular near horizon D1/D5 system (after appropriated constraints are imposed) contains all the bubbling regular solutions. Then, we show that the features of this system are rather different from the bubbling in $AdS_5\times S^5$, since the perimeter and not the area plays a key role. After setting the main dictionary between the two approaches, we investigate on extensions to non-regular solutions like conical defects and/or naked singular solutions. In particular, among the latter metrics, closed time-like curves are found together with a chronology protection mechanism enforced by the AdS/CFT duality. |
1111.3656 | Sergej Moroz | Xavier Bekaert, Elisa Meunier, Sergej Moroz | Symmetries and currents of the ideal and unitary Fermi gases | 67 pages, 2 figures; references added, minor improvements in the
presentation, version accepted for publication in JHEP | JHEP 1202:113, 2012 | 10.1007/JHEP02(2012)113 | NT@UW-11-29 | hep-th cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The maximal algebra of symmetries of the free single-particle Schroedinger
equation is determined and its relevance for the holographic duality in
non-relativistic Fermi systems is investigated. This algebra of symmetries is
an infinite dimensional extension of the Schroedinger algebra, it is isomorphic
to the Weyl algebra of quantum observables, and it may be interpreted as a
non-relativistic higher-spin algebra. The associated infinite collection of
Noether currents bilinear in the fermions are derived from their relativistic
counterparts via a light-like dimensional reduction. The minimal coupling of
these currents to background sources is rewritten in a compact way by making
use of Weyl quantisation. Pushing forward the similarities with the holographic
correspondence between the minimal higher-spin gravity and the critical O(N)
model, a putative bulk dual of the unitary and the ideal Fermi gases is
discussed.
| [
{
"created": "Tue, 15 Nov 2011 21:25:57 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2012 18:08:23 GMT",
"version": "v2"
}
] | 2015-03-19 | [
[
"Bekaert",
"Xavier",
""
],
[
"Meunier",
"Elisa",
""
],
[
"Moroz",
"Sergej",
""
]
] | The maximal algebra of symmetries of the free single-particle Schroedinger equation is determined and its relevance for the holographic duality in non-relativistic Fermi systems is investigated. This algebra of symmetries is an infinite dimensional extension of the Schroedinger algebra, it is isomorphic to the Weyl algebra of quantum observables, and it may be interpreted as a non-relativistic higher-spin algebra. The associated infinite collection of Noether currents bilinear in the fermions are derived from their relativistic counterparts via a light-like dimensional reduction. The minimal coupling of these currents to background sources is rewritten in a compact way by making use of Weyl quantisation. Pushing forward the similarities with the holographic correspondence between the minimal higher-spin gravity and the critical O(N) model, a putative bulk dual of the unitary and the ideal Fermi gases is discussed. |
1612.04812 | {\L}ukasz T. St\k{e}pie\'n | L. T. Stepien | On Bogomolny equations in generalized gauged baby BPS Skyrme models | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the concept of strong necessary conditions (CSNC), we derive Bogomolny
equations and BPS bounds for two modifications of the gauged baby BPS Skyrme
model: the nonminimal coupling to the gauge field and k-deformed model. In
particular, we study, how the Bogomolny equations and the equation for the
potential, reflect these two modifications. In both examples, the CSNC method
shows to be a very useful tool.
| [
{
"created": "Wed, 14 Dec 2016 21:34:14 GMT",
"version": "v1"
}
] | 2016-12-16 | [
[
"Stepien",
"L. T.",
""
]
] | Using the concept of strong necessary conditions (CSNC), we derive Bogomolny equations and BPS bounds for two modifications of the gauged baby BPS Skyrme model: the nonminimal coupling to the gauge field and k-deformed model. In particular, we study, how the Bogomolny equations and the equation for the potential, reflect these two modifications. In both examples, the CSNC method shows to be a very useful tool. |
0704.1805 | Youngone Lee | Youngone Lee | On Charge Conservation and The Equivalence Principle in the
Noncommutative Spacetime | typos corrected, references added, accepted for publication in Phys.
Rev. D | Phys.Rev.D76:025022,2007 | 10.1103/PhysRevD.76.025022 | null | hep-th | null | We investigate one of the consequences of the twisted Poincare symmetry. We
derive the charge conservation law and show that the equivalence principle is
satisfied in the canonical noncommutative spacetime. We applied the twisted
Poincare symmetry to the Weinberg's analysis. To this end, we generalize our
earlier construction of the twisted S matrix \cite{Bu}, which apply the
noncommutativity to the fourier modes, to the massless fields of integer spins.
The transformation formula for the twisted S matrix for the massless fields of
integer spin has been obtained. For massless fields of spin 1, we obtain the
conservation of charge, and the universality of coupling constant for massless
fields of spin 2, which can be interpreted as the equality of gravitational
mass and inertial mass, i.e., the equivalence principle.
| [
{
"created": "Fri, 13 Apr 2007 18:19:07 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Apr 2007 09:00:23 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jun 2007 01:07:56 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lee",
"Youngone",
""
]
] | We investigate one of the consequences of the twisted Poincare symmetry. We derive the charge conservation law and show that the equivalence principle is satisfied in the canonical noncommutative spacetime. We applied the twisted Poincare symmetry to the Weinberg's analysis. To this end, we generalize our earlier construction of the twisted S matrix \cite{Bu}, which apply the noncommutativity to the fourier modes, to the massless fields of integer spins. The transformation formula for the twisted S matrix for the massless fields of integer spin has been obtained. For massless fields of spin 1, we obtain the conservation of charge, and the universality of coupling constant for massless fields of spin 2, which can be interpreted as the equality of gravitational mass and inertial mass, i.e., the equivalence principle. |
hep-th/0503156 | Raffaele Marotta | Paolo Di Vecchia, Antonella Liccardo, Raffaele Marotta and Franco
Pezzella | On the Gauge/Gravity Correspondence and the Open/Closed String Duality | Invited review article for Int. J. Mod. Phys. A, 95 pages, 2 figures,
3 tables, LaTeX. References and acknowledgements added | Int.J.Mod.Phys.A20:4699-4796,2005 | 10.1142/S0217751X05024900 | null | hep-th | null | In this article we review the conditions for the validity of the
gauge/gravity correspondence in both supersymmetric and non-supersymmetric
string models. We start by reminding what happens in type IIB theory on the
orbifolds C^2/Z_2 and C^3/(Z_2 x Z_2), where this correspondence beautifully
works. In these cases, by performing a complete stringy calculation of the
interaction among D3 branes, it has been shown that the fact that this
correspondence works is a consequence of the open/closed duality and of the
absence of threshold corrections. Then we review the construction of type 0
theories with their orbifolds and orientifolds having spectra free from both
open and closed string tachyons and for such models we study the validity of
the gauge/gravity correspondence, concluding that this is not a peculiarity of
supersymmetric theories, but it may work also for non-supersymmetric models.
Also in these cases, when it works, it is again a consequence of the
open/closed string duality and of vanishing threshold corrections.
| [
{
"created": "Mon, 21 Mar 2005 17:45:21 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2005 14:35:46 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Liccardo",
"Antonella",
""
],
[
"Marotta",
"Raffaele",
""
],
[
"Pezzella",
"Franco",
""
]
] | In this article we review the conditions for the validity of the gauge/gravity correspondence in both supersymmetric and non-supersymmetric string models. We start by reminding what happens in type IIB theory on the orbifolds C^2/Z_2 and C^3/(Z_2 x Z_2), where this correspondence beautifully works. In these cases, by performing a complete stringy calculation of the interaction among D3 branes, it has been shown that the fact that this correspondence works is a consequence of the open/closed duality and of the absence of threshold corrections. Then we review the construction of type 0 theories with their orbifolds and orientifolds having spectra free from both open and closed string tachyons and for such models we study the validity of the gauge/gravity correspondence, concluding that this is not a peculiarity of supersymmetric theories, but it may work also for non-supersymmetric models. Also in these cases, when it works, it is again a consequence of the open/closed string duality and of vanishing threshold corrections. |
2006.12824 | Leonardo Ospedal | G.P. de Brito, M.G. Campos, L.P.R. Ospedal, K.P.B. Veiga | Quantum corrected gravitational potential beyond monopole-monopole
interactions | Some discussions were improved. Published in PRD | Phys. Rev. D 102, 084015 (2020) | 10.1103/PhysRevD.102.084015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate spin- and velocity-dependent contributions to the
gravitational inter-particle potential. The methodology adopted here is based
on the expansion of the effective action in terms of form factors encoding
quantum corrections. Restricting ourselves to corrections up to the level of
the graviton propagator, we compute, in terms of general form factors, the
non-relativistic gravitational potential associated with the scattering of
spin-0 and -1/2 particles. We discuss comparative aspects concerning different
types of scattered particles and we also establish some comparisons with the
case of electromagnetic potentials. Moreover, we apply our results to explicit
examples of form factors based on non-perturbative approaches for quantum
gravity. Finally, the cancellation of Newtonian singularity is analysed in the
presence of terms beyond the monopole-monopole sector.
| [
{
"created": "Tue, 23 Jun 2020 08:29:50 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 2020 23:09:46 GMT",
"version": "v2"
}
] | 2020-10-14 | [
[
"de Brito",
"G. P.",
""
],
[
"Campos",
"M. G.",
""
],
[
"Ospedal",
"L. P. R.",
""
],
[
"Veiga",
"K. P. B.",
""
]
] | We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections. Restricting ourselves to corrections up to the level of the graviton propagator, we compute, in terms of general form factors, the non-relativistic gravitational potential associated with the scattering of spin-0 and -1/2 particles. We discuss comparative aspects concerning different types of scattered particles and we also establish some comparisons with the case of electromagnetic potentials. Moreover, we apply our results to explicit examples of form factors based on non-perturbative approaches for quantum gravity. Finally, the cancellation of Newtonian singularity is analysed in the presence of terms beyond the monopole-monopole sector. |
hep-th/9607240 | Viktor Abramov | Viktor Abramov (University of Tartu, Estonia) | Ternary generalizations of Grassmann algebra | 10 pages | Proc. Estonian Acad. Sci. Phys. Math., 45, 2/3, 174-182, 1996 | null | null | hep-th | null | We propose the ternary generalization of the classical anti-commutativity and
study the algebras whose generators are ternary anti-commutative. The integral
over an algebra with an arbitrary number of generators N is defined and the
formula of a change of variables is proved. In analogy with the fermion
integral we define an analogue of the Pfaffian for a cubic matrix by means of
Gaussian type integral and calculate its explicit form in the case of N=3.
| [
{
"created": "Wed, 31 Jul 1996 13:26:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abramov",
"Viktor",
"",
"University of Tartu, Estonia"
]
] | We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an arbitrary number of generators N is defined and the formula of a change of variables is proved. In analogy with the fermion integral we define an analogue of the Pfaffian for a cubic matrix by means of Gaussian type integral and calculate its explicit form in the case of N=3. |
2301.04773 | Kazuhiro Sakai | Kazumi Okuyama, Kazuhiro Sakai | Spectral form factor in the $\tau$-scaling limit | 29 pages, v2: typos corrected, published version | null | 10.1007/JHEP04(2023)123 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the spectral form factor (SFF) of general topological gravity in the
limit of large time and fixed temperature. It has been observed recently that
in this limit, called the tau-scaling limit, the genus expansion of the SFF can
be summed up and the late-time behavior of the SFF such as the ramp-plateau
transition can be studied analytically. In this paper we develop a technique
for the systematic computation of the higher order corrections to the SFF in
the strict tau-scaling limit. We obtain the first five corrections in a closed
form for the general background of topological gravity. As concrete examples,
we present the results for the Airy case and Jackiw-Teitelboim gravity. We find
that the above higher order corrections are the Fourier transforms of the
corrections to the sine-kernel approximation of the Christoffel-Darboux kernel
in the dual double-scaled matrix integral, which naturally explains their
structure. Along the way we also develop a technique for the systematic
computation of the corrections to the sine-kernel formula, which have not been
fully explored in the literature before.
| [
{
"created": "Thu, 12 Jan 2023 00:42:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2023 15:40:02 GMT",
"version": "v2"
}
] | 2023-04-27 | [
[
"Okuyama",
"Kazumi",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] | We study the spectral form factor (SFF) of general topological gravity in the limit of large time and fixed temperature. It has been observed recently that in this limit, called the tau-scaling limit, the genus expansion of the SFF can be summed up and the late-time behavior of the SFF such as the ramp-plateau transition can be studied analytically. In this paper we develop a technique for the systematic computation of the higher order corrections to the SFF in the strict tau-scaling limit. We obtain the first five corrections in a closed form for the general background of topological gravity. As concrete examples, we present the results for the Airy case and Jackiw-Teitelboim gravity. We find that the above higher order corrections are the Fourier transforms of the corrections to the sine-kernel approximation of the Christoffel-Darboux kernel in the dual double-scaled matrix integral, which naturally explains their structure. Along the way we also develop a technique for the systematic computation of the corrections to the sine-kernel formula, which have not been fully explored in the literature before. |
2107.02532 | Alexander Schenkel | Hans Nguyen, Alexander Schenkel, Richard J. Szabo | Batalin-Vilkovisky quantization of fuzzy field theories | v4: Final version accepted for publication in Letters in Mathematical
Physics | Lett. Math. Phys. 111, 149 (2021) | 10.1007/s11005-021-01490-2 | EMPG-21-09 | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the modern Batalin-Vilkovisky quantization techniques of Costello
and Gwilliam to noncommutative field theories in the finite-dimensional case of
fuzzy spaces. We further develop a generalization of this framework to theories
that are equivariant under a triangular Hopf algebra symmetry, which in
particular leads to quantizations of finite-dimensional analogs of the field
theories proposed recently through the notion of `braided $L_\infty$-algebras'.
The techniques are illustrated by computing perturbative correlation functions
for scalar and Chern-Simons theories on the fuzzy $2$-sphere, as well as for
braided scalar field theories on the fuzzy $2$-torus.
| [
{
"created": "Tue, 6 Jul 2021 10:44:11 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 2021 14:09:07 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Oct 2021 12:48:39 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Nov 2021 11:02:22 GMT",
"version": "v4"
}
] | 2021-12-16 | [
[
"Nguyen",
"Hans",
""
],
[
"Schenkel",
"Alexander",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We apply the modern Batalin-Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional case of fuzzy spaces. We further develop a generalization of this framework to theories that are equivariant under a triangular Hopf algebra symmetry, which in particular leads to quantizations of finite-dimensional analogs of the field theories proposed recently through the notion of `braided $L_\infty$-algebras'. The techniques are illustrated by computing perturbative correlation functions for scalar and Chern-Simons theories on the fuzzy $2$-sphere, as well as for braided scalar field theories on the fuzzy $2$-torus. |
2012.01054 | Anton Galajinsky | Anton Galajinsky | Spinning particles on 2-sphere in accord with the Bianchi classification | 13 pages | null | 10.1140/epjc/s10052-021-08993-1 | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by recent studies of superconformal mechanics extended by spin
degrees of freedom, we construct minimally superintegrable models of spinning
particles on 2-sphere, the spin degrees of freedom of which are represented by
a 3-vector obeying the structure relations of a 3d real Lie algebra.
Generalisations involving an external field of the Dirac monopole, or the
motion on the group manifold of SU(2), or a scalar potential giving rise to two
quadratic constants of the motion are discussed. A procedure how to build
similar extensions, which rely upon d=4,5,6 real Lie algebras, is elucidated.
| [
{
"created": "Wed, 2 Dec 2020 09:50:29 GMT",
"version": "v1"
}
] | 2021-03-17 | [
[
"Galajinsky",
"Anton",
""
]
] | Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of spinning particles on 2-sphere, the spin degrees of freedom of which are represented by a 3-vector obeying the structure relations of a 3d real Lie algebra. Generalisations involving an external field of the Dirac monopole, or the motion on the group manifold of SU(2), or a scalar potential giving rise to two quadratic constants of the motion are discussed. A procedure how to build similar extensions, which rely upon d=4,5,6 real Lie algebras, is elucidated. |
hep-th/0006064 | Tim Morris | Tim R. Morris | A gauge invariant exact renormalization group II | TeX, harvmac, epsf; 73 pages, 25 figs; several clarifying sentences
added | JHEP 0012:012,2000 | 10.1088/1126-6708/2000/12/012 | SHEP 00-04 | hep-th cond-mat hep-lat hep-ph | null | A manifestly gauge invariant and regularized renormalization group flow
equation is constructed for pure SU(N) gauge theory in the large N limit. In
this way we make precise and concrete the notion of a non-perturbative gauge
invariant continuum Wilsonian effective action. Manifestly gauge invariant
calculations may be performed, without gauge fixing, and receive a natural
interpretation in terms of fluctuating Wilson loops. Regularization is achieved
by covariant higher derivatives and by embedding in a spontaneously broken
SU(N|N) supergauge theory; the resulting heavy fermionic vectors are
Pauli-Villars fields. We prove the finiteness of this method to one loop and
any number of external gauge fields. A duality is uncovered that changes the
sign of the squared coupling constant. As a test of the basic formalism we
compute the one loop beta function, for the first time without any gauge
fixing, and prove its universality with respect to cutoff function.
| [
{
"created": "Fri, 9 Jun 2000 01:10:52 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2000 14:51:54 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Morris",
"Tim R.",
""
]
] | A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant continuum Wilsonian effective action. Manifestly gauge invariant calculations may be performed, without gauge fixing, and receive a natural interpretation in terms of fluctuating Wilson loops. Regularization is achieved by covariant higher derivatives and by embedding in a spontaneously broken SU(N|N) supergauge theory; the resulting heavy fermionic vectors are Pauli-Villars fields. We prove the finiteness of this method to one loop and any number of external gauge fields. A duality is uncovered that changes the sign of the squared coupling constant. As a test of the basic formalism we compute the one loop beta function, for the first time without any gauge fixing, and prove its universality with respect to cutoff function. |
2008.05483 | Felipe Rosso | Laura Donnay, Gaston Giribet and Felipe Rosso | Quantum BMS transformations in conformally flat space-times and
holography | 55 pages, v2 updated to match published version | JHEP 12 (2020) 102 | 10.1007/JHEP12(2020)102 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define and study asymptotic Killing and conformal Killing vectors in
$d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm
AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an
arbitrary CFT and show they satisfy a closed algebra that includes the BMS as a
sub-algebra (i.e. supertranslations and superrotations) plus a novel
transformation we call `superdilations'. We study representations of this
algebra in the Hilbert space of the CFT, as well as the action of the finite
transformations obtained by exponentiating the charges. In the context of the
AdS/CFT correspondence, we propose a bulk holographic description in
semi-classical gravity that reproduces the results obtained from CFT
computations. We discuss the implications of our results regarding quantum
hairs of asymptotically flat (near-)extremal black holes.
| [
{
"created": "Wed, 12 Aug 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2020 22:06:03 GMT",
"version": "v2"
}
] | 2020-12-25 | [
[
"Donnay",
"Laura",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Rosso",
"Felipe",
""
]
] | We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an arbitrary CFT and show they satisfy a closed algebra that includes the BMS as a sub-algebra (i.e. supertranslations and superrotations) plus a novel transformation we call `superdilations'. We study representations of this algebra in the Hilbert space of the CFT, as well as the action of the finite transformations obtained by exponentiating the charges. In the context of the AdS/CFT correspondence, we propose a bulk holographic description in semi-classical gravity that reproduces the results obtained from CFT computations. We discuss the implications of our results regarding quantum hairs of asymptotically flat (near-)extremal black holes. |
1704.05065 | Philip Phillips | Gabriele La Nave and Philip Phillips | Fractional Virasoro Algebras | null | Adv. Theor. Math. Phys., vol. 23 (2019) no. 6, pp 1631-1655 | 10.4310/ATMP.2019.v23.n6.a5 | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that it is possible to construct a Virasoro algebra as a central
extension of the fractional Witt algebra generated by non-local operators of
the form, $L_n^a\equiv\left(\frac{\partial f}{\partial z}\right)^a$ where $a\in
{\mathbb R}$. The Virasoro algebra is explicitly of the form, \beq
[L^a_m,L_n^a]=A_{m,n}L^a_{m+n}+\delta_{m,n}h(n)cZ^a \eeq where $c$ is the
central charge (not necessarily a constant), $Z^a$ is in the center of the
algebra and $h(n)$ obeys a recursion relation related to the coefficients
$A_{m,n}$. In fact, we show that all central extensions which respect the
special structure developed here which we term a multimodule Lie-Algebra, are
of this form. This result provides a mathematical foundation for non-local
conformal field theories, in particular recent proposals in condensed matter in
which the current has an anomalous dimension.
| [
{
"created": "Mon, 17 Apr 2017 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2018 19:46:00 GMT",
"version": "v2"
}
] | 2020-04-06 | [
[
"La Nave",
"Gabriele",
""
],
[
"Phillips",
"Philip",
""
]
] | We show that it is possible to construct a Virasoro algebra as a central extension of the fractional Witt algebra generated by non-local operators of the form, $L_n^a\equiv\left(\frac{\partial f}{\partial z}\right)^a$ where $a\in {\mathbb R}$. The Virasoro algebra is explicitly of the form, \beq [L^a_m,L_n^a]=A_{m,n}L^a_{m+n}+\delta_{m,n}h(n)cZ^a \eeq where $c$ is the central charge (not necessarily a constant), $Z^a$ is in the center of the algebra and $h(n)$ obeys a recursion relation related to the coefficients $A_{m,n}$. In fact, we show that all central extensions which respect the special structure developed here which we term a multimodule Lie-Algebra, are of this form. This result provides a mathematical foundation for non-local conformal field theories, in particular recent proposals in condensed matter in which the current has an anomalous dimension. |
hep-th/9912239 | Giovanni Felder | Giovanni Felder, J\"urg Fr\"ohlich, J\"urgen Fuchs and Christoph
Schweigert | Correlation functions and boundary conditions in RCFT and
three-dimensional topology | latex, 45 pages. The new version has a new introduction and various
minor corrections | Compos.Math. 131 (2002) 189-237 | null | ETH-TH/99-30, PAR-LPTHE 99-45 | hep-th math.QA | null | We give a general construction of correlation functions in rational conformal
field theory on a possibly non-orientable surface with boundary in terms of
3-dimensional topological quantum field theory. The construction applies to any
modular category. It is proved that these correlation functions obey modular
and factorization rules. Structure constants are calculated and expressed in
terms of the data of the modular category.
| [
{
"created": "Thu, 23 Dec 1999 15:51:24 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jun 2000 16:33:15 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Felder",
"Giovanni",
""
],
[
"Fröhlich",
"Jürg",
""
],
[
"Fuchs",
"Jürgen",
""
],
[
"Schweigert",
"Christoph",
""
]
] | We give a general construction of correlation functions in rational conformal field theory on a possibly non-orientable surface with boundary in terms of 3-dimensional topological quantum field theory. The construction applies to any modular category. It is proved that these correlation functions obey modular and factorization rules. Structure constants are calculated and expressed in terms of the data of the modular category. |
1811.01079 | Sayantan Choudhury | Sayantan Choudhury, Arkaprava Mukherjee | A universal bound on Quantum Chaos from Random Matrix Theory | 4 pages, 2 figures | JHEP 05 (2019) 149 | 10.1007/JHEP05(2019)149 | null | hep-th cond-mat.stat-mech gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, using the principles of Random Matrix Theory (RMT), we give
a measure of quantum chaos by quantifying Spectral From Factor (SFF) appearing
from the computation of two-point Out of Time Order Correlation function (OTOC)
expressed in terms of square of the commutator bracket of quantum operators
which are separated in time. We also provide a strict model independent bound
on the measure of quantum chaos, $-1/N(1-1/\pi)\leq {\bf SFF}\leq 0$ and $0\leq
{\bf SFF}\leq 1/\pi N$, valid for thermal systems with a large and small number
of degrees of freedom respectively. Based on the appropriate physical arguments
we give a precise mathematical derivation to establish this alternative strict
bound of quantum chaos.
| [
{
"created": "Fri, 2 Nov 2018 20:32:03 GMT",
"version": "v1"
}
] | 2019-05-27 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Mukherjee",
"Arkaprava",
""
]
] | In this article, using the principles of Random Matrix Theory (RMT), we give a measure of quantum chaos by quantifying Spectral From Factor (SFF) appearing from the computation of two-point Out of Time Order Correlation function (OTOC) expressed in terms of square of the commutator bracket of quantum operators which are separated in time. We also provide a strict model independent bound on the measure of quantum chaos, $-1/N(1-1/\pi)\leq {\bf SFF}\leq 0$ and $0\leq {\bf SFF}\leq 1/\pi N$, valid for thermal systems with a large and small number of degrees of freedom respectively. Based on the appropriate physical arguments we give a precise mathematical derivation to establish this alternative strict bound of quantum chaos. |
1403.6999 | Matsuo Sato | Noriaki Kamiya, Matsuo Sato | A class of hermitian generalized Jordan triple systems and Chern-Simons
gauge theory | 9 pages, references added | null | 10.1142/S0217732314501569 | null | hep-th math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a class of hermitian generalized Jordan triple systems (HGJTSs) and
hermitian $(\epsilon, \delta)$-Freudenthal-Kantor triple systems (HFKTSs). We
apply one of the most simple HGJTSs which we find to a field theory, and obtain
a typical u(N) Chern-Simons gauge theory with a fundamental matter.
| [
{
"created": "Thu, 27 Mar 2014 12:35:40 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2014 07:26:55 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Kamiya",
"Noriaki",
""
],
[
"Sato",
"Matsuo",
""
]
] | We find a class of hermitian generalized Jordan triple systems (HGJTSs) and hermitian $(\epsilon, \delta)$-Freudenthal-Kantor triple systems (HFKTSs). We apply one of the most simple HGJTSs which we find to a field theory, and obtain a typical u(N) Chern-Simons gauge theory with a fundamental matter. |
1501.02086 | Vincent Lahoche | Vincent Lahoche, Daniele Oriti and Vincent Rivasseau | Renormalization of an Abelian Tensor Group Field Theory: Solution at
Leading Order | 37 pages, 14 figures | null | 10.1007/JHEP04(2015)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a just renormalizable tensorial group field theory of rank six with
quartic melonic interactions and Abelian group U(1). We introduce the formalism
of the intermediate field, which allows a precise characterization of the
leading order Feynman graphs. We define the renormalization of the model,
compute its (perturbative) renormalization group flow and write its expansion
in terms of effective couplings. We then establish closed equations for the two
point and four point functions at leading (melonic) order. Using the effective
expansion and its uniform exponential bounds we prove that these equations
admit a unique solution at small renormalized coupling.
| [
{
"created": "Fri, 9 Jan 2015 09:55:49 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2015 22:43:08 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Feb 2015 09:30:20 GMT",
"version": "v3"
}
] | 2015-05-20 | [
[
"Lahoche",
"Vincent",
""
],
[
"Oriti",
"Daniele",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | We study a just renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate field, which allows a precise characterization of the leading order Feynman graphs. We define the renormalization of the model, compute its (perturbative) renormalization group flow and write its expansion in terms of effective couplings. We then establish closed equations for the two point and four point functions at leading (melonic) order. Using the effective expansion and its uniform exponential bounds we prove that these equations admit a unique solution at small renormalized coupling. |
1305.3198 | Andrey Zayakin | Waldemar Schulgin and A.V. Zayakin | Three-BMN Correlation Functions: Integrability vs. String Field Theory
One-Loop Mismatch | 18 pages | null | 10.1007/JHEP10(2013)053 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compare calculations of the three-point correlation functions of BMN
operators at the one-loop (next-to-leading) order in the scalar SU(2) sector
from the integrability expression recently suggested by Gromov and Vieira, and
from the string field theory expression based on the effective interaction
vertex by Dobashi and Yoneya. A disagreement is found between the form-factors
of the correlation functions in the one-loop contributions. The order-of-limits
problem is suggested as a possible explanation of this discrepancy.
| [
{
"created": "Tue, 14 May 2013 16:14:31 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Schulgin",
"Waldemar",
""
],
[
"Zayakin",
"A. V.",
""
]
] | We compare calculations of the three-point correlation functions of BMN operators at the one-loop (next-to-leading) order in the scalar SU(2) sector from the integrability expression recently suggested by Gromov and Vieira, and from the string field theory expression based on the effective interaction vertex by Dobashi and Yoneya. A disagreement is found between the form-factors of the correlation functions in the one-loop contributions. The order-of-limits problem is suggested as a possible explanation of this discrepancy. |
2311.14163 | Tung Tran | Harold C. Steinacker and Tung Tran | Soft limit of higher-spin interactions in the IKKT model | v1: 34 pages. Comments are welcome | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study interactions of the higher-spin gauge theory arising from the IKKT
matrix model on covariant FLRW quantum space-time, denoted as HS-IKKT. We
elaborate some vertices explicitly, which are not manifestly Lorentz invariant
in the unitary formulation. The vertices are exponentially suppressed in the
asymptotically flat and late-time regime, for energies below the scale of
non-commutativity. We work out some vertices and amplitudes for low external
spin, and show how Weinberg's soft theorem is avoided. Moreover, we show that
Lorentz invariance can be recovered at least for some vertices in the covariant
formulation, at the expense of locality. The lowest-spin sector of this theory
is expected to be governed by an ''almost''-Lorentz-invariant Yang-Mills gauge
theory coupled to emergent gravity.
| [
{
"created": "Thu, 23 Nov 2023 19:01:04 GMT",
"version": "v1"
}
] | 2023-11-27 | [
[
"Steinacker",
"Harold C.",
""
],
[
"Tran",
"Tung",
""
]
] | We study interactions of the higher-spin gauge theory arising from the IKKT matrix model on covariant FLRW quantum space-time, denoted as HS-IKKT. We elaborate some vertices explicitly, which are not manifestly Lorentz invariant in the unitary formulation. The vertices are exponentially suppressed in the asymptotically flat and late-time regime, for energies below the scale of non-commutativity. We work out some vertices and amplitudes for low external spin, and show how Weinberg's soft theorem is avoided. Moreover, we show that Lorentz invariance can be recovered at least for some vertices in the covariant formulation, at the expense of locality. The lowest-spin sector of this theory is expected to be governed by an ''almost''-Lorentz-invariant Yang-Mills gauge theory coupled to emergent gravity. |
1307.1465 | Gleb Aminov | G. Aminov, A. Mironov, A. Morozov, A. Zotov | Three-particle Integrable Systems with Elliptic Dependence on Momenta
and Theta Function Identities | null | Physics Letters B726 (2013) 802-808 | 10.1016/j.physletb.2013.09.004 | FIAN/TD-11/13; ITEP/TH-21/13 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We claim that some non-trivial theta-function identities at higher genus can
stand behind the Poisson commutativity of the Hamiltonians of elliptic
integrable systems, which are made from the theta-functions on Jacobians of the
Seiberg-Witten curves. For the case of three-particle systems the genus-2
identities are found and presented in the paper. The connection with the
Macdonald identities is established. The genus-2 theta-function identities
provide the direct way to construct the Poisson structure in terms of the
coordinates on the Jacobian of the spectral curve and the elements of its
period matrix. The Lax representations for the two-particle systems are also
obtained.
| [
{
"created": "Thu, 4 Jul 2013 19:54:59 GMT",
"version": "v1"
}
] | 2013-12-03 | [
[
"Aminov",
"G.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Zotov",
"A.",
""
]
] | We claim that some non-trivial theta-function identities at higher genus can stand behind the Poisson commutativity of the Hamiltonians of elliptic integrable systems, which are made from the theta-functions on Jacobians of the Seiberg-Witten curves. For the case of three-particle systems the genus-2 identities are found and presented in the paper. The connection with the Macdonald identities is established. The genus-2 theta-function identities provide the direct way to construct the Poisson structure in terms of the coordinates on the Jacobian of the spectral curve and the elements of its period matrix. The Lax representations for the two-particle systems are also obtained. |
hep-th/9901020 | Stephan Stieberger | K. Foerger (CPHT) and S. Stieberger (CERN) | Higher Derivative Couplings and Heterotic-Type I Duality in Eight
Dimensions | 26 pages, harvmac; Appendix about regularization included; Final
version to appear in NPB | Nucl.Phys.B559:277-300,1999 | 10.1016/S0550-3213(99)00408-3 | CERN-TH/98-412 & CPHT-S707.1298 | hep-th | null | We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string
vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature
R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is
given by a polylogarithm of index 5-4g and encodes the counting of genus g
curves with g nodes on the K3 of the dual F-theory side. We present closed
expressions for world-sheet tau-integrals with an arbitrary number of lattice
vector insertions. Furthermore we verify that the corresponding heterotic
one-loop couplings sum up perturbative open string and non-perturbative
D-string contributions on the type I side. Finally we discuss a type I one-loop
correction to the R^2 term.
| [
{
"created": "Wed, 6 Jan 1999 00:44:17 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Aug 1999 12:31:57 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Foerger",
"K.",
"",
"CPHT"
],
[
"Stieberger",
"S.",
"",
"CERN"
]
] | We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting of genus g curves with g nodes on the K3 of the dual F-theory side. We present closed expressions for world-sheet tau-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R^2 term. |
hep-th/0309217 | Sangmin Lee | Sangmin Lee | On the Geometry of Coset Models with Flux | 8 pages | Eur.Phys.J.C35:425-427,2004 | 10.1140/epjc/s2004-01860-y | CERN-TH/2003-224 | hep-th | null | We study the 3-form flux $H_{\m\n\l}$ associated with the semi-classical
geometry of $G/H$ gauged WZW models. We derive a simple, general expression for
the flux in an orthonormal frame and use it to explicitly verify conformal
invariance to the leading order in $\a'$. For supersymmetric models, we briefly
revisit the conditions for enhanced supersymmetry. We also discuss some
examples of non-abelian cosets with flux.
| [
{
"created": "Tue, 23 Sep 2003 11:10:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lee",
"Sangmin",
""
]
] | We study the 3-form flux $H_{\m\n\l}$ associated with the semi-classical geometry of $G/H$ gauged WZW models. We derive a simple, general expression for the flux in an orthonormal frame and use it to explicitly verify conformal invariance to the leading order in $\a'$. For supersymmetric models, we briefly revisit the conditions for enhanced supersymmetry. We also discuss some examples of non-abelian cosets with flux. |
hep-th/0009186 | Luciano Vanzo | G. Catelani, L. Vanzo | On the sqrt{2} puzzle in AdS_2/CFT_1 | 6 pages, LaTeX document; typos corrected, one reference added,
improved discussion of anomaly term and central charge | null | null | null | hep-th | null | In this letter we analyze the Hamiltonian formulation of the
Jackiw-Teitelboim model of 2D gravity and calculate the central charge
associated with the asymptotic symmetries, taking care of boundary terms. For
black hole solutions, we show that there is no sqrt{2} discrepancy between the
thermodynamical entropy and the statistical one obtained via Cardy's formula.
| [
{
"created": "Mon, 25 Sep 2000 14:16:10 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 2000 09:40:52 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Nov 2000 14:21:52 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Catelani",
"G.",
""
],
[
"Vanzo",
"L.",
""
]
] | In this letter we analyze the Hamiltonian formulation of the Jackiw-Teitelboim model of 2D gravity and calculate the central charge associated with the asymptotic symmetries, taking care of boundary terms. For black hole solutions, we show that there is no sqrt{2} discrepancy between the thermodynamical entropy and the statistical one obtained via Cardy's formula. |
hep-th/0508248 | Tomomi Muto | Tomomi Muto | A relation between moduli space of D-branes on orbifolds and Ising model | 20 pages, 13 figures | JHEP 0512:025,2005 | 10.1088/1126-6708/2005/12/025 | null | hep-th | null | We study D-branes transverse to an abelian orbifold C^3/Z_n Z_n. The moduli
space of the gauge theory on the D-branes is analyzed by combinatorial
calculation based on toric geometry. It is shown that the calculation is
related to a problemto count the number of ground states of an
antiferromagnetic Ising model. The lattice on which the Ising model is defined
is a triangular one defined on the McKay quiver of the orbifold.
| [
{
"created": "Wed, 31 Aug 2005 16:35:49 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Muto",
"Tomomi",
""
]
] | We study D-branes transverse to an abelian orbifold C^3/Z_n Z_n. The moduli space of the gauge theory on the D-branes is analyzed by combinatorial calculation based on toric geometry. It is shown that the calculation is related to a problemto count the number of ground states of an antiferromagnetic Ising model. The lattice on which the Ising model is defined is a triangular one defined on the McKay quiver of the orbifold. |
1611.00546 | Zhibin Li | Zhibin Li, Jia-ju Zhang | Holographic R\'enyi entropy for two-dimensional $\mathcal{N}$=(2,2)
superconformal field theory | 14 pages | Phys. Rev. D 95, 126009 (2017) | 10.1103/PhysRevD.95.126009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the holographic R\'enyi entropy for two-dimensional $\mathcal
N=(2,2)$ superconformal field theory (SCFT), which is dual to $\mathcal N=2$
supergravity in AdS$_3$ background. In SCFT we have the stress tensor, current,
and their supersymmetric partners, and in supergravity we have the graviton,
vector field, and two gravitinos. We get the R\'enyi mutual information of two
short intervals on complex plane in expansion by the cross ratio $x$ to order
$x^4$, and R\'enyi entropy of one interval on torus in expansion by
$q=\exp(-2\pi\beta/L)$, with $\beta$ being the inverse temperature and $L$
being the spatial period, to order $q^2$. We calculate in both the supergravity
and SCFT sides, and find matches of the results.
| [
{
"created": "Wed, 2 Nov 2016 10:53:52 GMT",
"version": "v1"
}
] | 2017-06-23 | [
[
"Li",
"Zhibin",
""
],
[
"Zhang",
"Jia-ju",
""
]
] | We investigate the holographic R\'enyi entropy for two-dimensional $\mathcal N=(2,2)$ superconformal field theory (SCFT), which is dual to $\mathcal N=2$ supergravity in AdS$_3$ background. In SCFT we have the stress tensor, current, and their supersymmetric partners, and in supergravity we have the graviton, vector field, and two gravitinos. We get the R\'enyi mutual information of two short intervals on complex plane in expansion by the cross ratio $x$ to order $x^4$, and R\'enyi entropy of one interval on torus in expansion by $q=\exp(-2\pi\beta/L)$, with $\beta$ being the inverse temperature and $L$ being the spatial period, to order $q^2$. We calculate in both the supergravity and SCFT sides, and find matches of the results. |
2308.12337 | Anindya Dey | Anindya Dey | Three dimensional Mirrors from IR N-ality | 6 pages, 6 figures, figures are color-coded | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We discuss an explicit field theory construction of three dimensional mirrors
for a large sub-class of quiver gauge theories involving unitary and special
unitary gauge nodes with matter in fundamental and bifundamental
representations. For this sub-class of theories, one can deploy a sequence of
IR dualities and certain Abelian field theory operations to reduce the
aforementioned problem to a problem of finding the 3d mirror of a simpler
unitary quiver gauge theory. We illustrate the construction with a linear
quiver consisting of unitary and special unitary gauge nodes.
| [
{
"created": "Wed, 23 Aug 2023 18:00:02 GMT",
"version": "v1"
}
] | 2023-08-25 | [
[
"Dey",
"Anindya",
""
]
] | We discuss an explicit field theory construction of three dimensional mirrors for a large sub-class of quiver gauge theories involving unitary and special unitary gauge nodes with matter in fundamental and bifundamental representations. For this sub-class of theories, one can deploy a sequence of IR dualities and certain Abelian field theory operations to reduce the aforementioned problem to a problem of finding the 3d mirror of a simpler unitary quiver gauge theory. We illustrate the construction with a linear quiver consisting of unitary and special unitary gauge nodes. |
1406.5593 | Shesansu Sekhar Pal | Shesansu Sekhar Pal and Shubhalaxmi Rath | Weak Minimal Area In Entanglement Entropy | 1+18 pages, 2 figures, LATEX; v2: Typos fixed and refs added; v3:
More refs added; v4: Discussion on ${\tilde A}, W$ removed and Jacobi test
added, presentation improved, v5: title changed and journal version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We re-visit the minimal area condition of Ryu-Takayanagi in the holographic
calculation of the entanglement entropy. In particular, the Legendre test and
the Jacobi test. The necessary condition for the weak minimality is checked via
Legendre test and its sufficient nature via Jacobi test. We show for AdS black
hole with a strip type entangling region that it is this minimality condition
that makes the hypersurface not to cross the horizon, which is in agreement
with that studied earlier by {\it Engelhardt et al.} and {\it Hubeny} using a
different approach. Moreover, demanding the weak minimality condition on the
entanglement entropy functional with the higher derivative term puts a
constraint on the Gauss-Bonnet coupling: that is there should be an upper bound
on the value of the coupling, $\lambda_a< \f{(d-3)}{4(d-1)}$.
| [
{
"created": "Sat, 21 Jun 2014 09:57:47 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2014 10:23:26 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jul 2014 10:14:02 GMT",
"version": "v3"
},
{
"created": "Sat, 27 Sep 2014 10:32:57 GMT",
"version": "v4"
},
{
"cr... | 2015-03-27 | [
[
"Pal",
"Shesansu Sekhar",
""
],
[
"Rath",
"Shubhalaxmi",
""
]
] | We re-visit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy. In particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show for AdS black hole with a strip type entangling region that it is this minimality condition that makes the hypersurface not to cross the horizon, which is in agreement with that studied earlier by {\it Engelhardt et al.} and {\it Hubeny} using a different approach. Moreover, demanding the weak minimality condition on the entanglement entropy functional with the higher derivative term puts a constraint on the Gauss-Bonnet coupling: that is there should be an upper bound on the value of the coupling, $\lambda_a< \f{(d-3)}{4(d-1)}$. |
hep-th/0210262 | Satoshi Yamaguchi | Yasuaki Hikida and Satoshi Yamaguchi (Univ. of Tokyo) | D-branes in PP-Waves and Massive Theories on Worldsheet with Boundary | 27 pages, LaTeX, no figure. v2: typos corrected, comments added,
references added. v3: typos corrected, comments added, references added.
v4:typos corrected | JHEP 0301 (2003) 072 | 10.1088/1126-6708/2003/01/072 | UT-02-55 | hep-th | null | We investigate the supersymmetric D-brane configurations in the pp-wave
backgrounds proposed by Maldacena and Maoz. We study the surviving
supersymmetry in a D-brane configuration from the worldvolume point of view.
When we restrict ourselves to the background with N=(2,2) supersymmetry and no
holomorphic Killing vector term, there are two types of supersymmetric
D-branes: A-type and B-type. An A-type brane is wrapped on a special Lagrangian
submanifold, and the imaginary part of the superpotential should be constant on
its worldvolume. On the other hand, a B-type brane is wrapped on a complex
submanifold, and the superpotential should be constant on its worldvolume. The
results are almost consistent with the worldsheet theory in the lightcone
gauge. The inclusion of gauge fields is also discussed and found BPS D-branes
with the gauge field excitations. Furthermore, we consider the backgrounds with
holomorphic Killing vector terms and N=(1,1) supersymmetric backgrounds.
| [
{
"created": "Mon, 28 Oct 2002 11:50:24 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2002 10:59:52 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Dec 2002 08:45:21 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Feb 2003 13:57:23 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Hikida",
"Yasuaki",
"",
"Univ. of Tokyo"
],
[
"Yamaguchi",
"Satoshi",
"",
"Univ. of Tokyo"
]
] | We investigate the supersymmetric D-brane configurations in the pp-wave backgrounds proposed by Maldacena and Maoz. We study the surviving supersymmetry in a D-brane configuration from the worldvolume point of view. When we restrict ourselves to the background with N=(2,2) supersymmetry and no holomorphic Killing vector term, there are two types of supersymmetric D-branes: A-type and B-type. An A-type brane is wrapped on a special Lagrangian submanifold, and the imaginary part of the superpotential should be constant on its worldvolume. On the other hand, a B-type brane is wrapped on a complex submanifold, and the superpotential should be constant on its worldvolume. The results are almost consistent with the worldsheet theory in the lightcone gauge. The inclusion of gauge fields is also discussed and found BPS D-branes with the gauge field excitations. Furthermore, we consider the backgrounds with holomorphic Killing vector terms and N=(1,1) supersymmetric backgrounds. |
hep-th/0501045 | Washington Chagas-Filho | W. Chagas-Filho | High Energy Commutators in Particle, String and Membrane Theories | Latex, 24 pages | null | null | null | hep-th | null | We study relativistic particle, string and membrane theories as defining
field theories containing gravity in (0+1), (1+1) and (2+1) spacetime
dimensions respectively. We show how an off shell invariance of the massless
particle action allows the construction of an extension of the conformal
algebra and induces a transition to a non-commutative spacetime geometry. This
non-commutative geometry is found to be preserved in the spacetime
supersymmetric massless particle theory. It is then shown how the basic bosonic
commutators we found for the massless particle may also be encountered in the
tensionless limit of string and membrane theories. Finally we speculate on how
the non-locality introduced by these commutators could be used to construct a
covariant Newtonian gravitational field theory.
| [
{
"created": "Fri, 7 Jan 2005 14:21:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chagas-Filho",
"W.",
""
]
] | We study relativistic particle, string and membrane theories as defining field theories containing gravity in (0+1), (1+1) and (2+1) spacetime dimensions respectively. We show how an off shell invariance of the massless particle action allows the construction of an extension of the conformal algebra and induces a transition to a non-commutative spacetime geometry. This non-commutative geometry is found to be preserved in the spacetime supersymmetric massless particle theory. It is then shown how the basic bosonic commutators we found for the massless particle may also be encountered in the tensionless limit of string and membrane theories. Finally we speculate on how the non-locality introduced by these commutators could be used to construct a covariant Newtonian gravitational field theory. |
0811.4044 | Yang-Hui Evariste He | Amihay Hanany and Yang-Hui He | M2-Branes and Quiver Chern-Simons: A Taxonomic Study | 33 pages, 16 Figures. Forward Algorithm in Section 2 corrected and
clarified | null | null | Imperial/TP/08/AH/10 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate a systematic investigation of the space of 2+1 dimensional quiver
gauge theories, emphasising a succinct "forward algorithm". Few "order
parametres" are introduced such as the number of terms in the superpotential
and the number of gauge groups. Starting with two terms in the superpotential,
we find a generating function, with interesting geometric interpretation, which
counts the number of inequivalent theories for a given number of gauge groups
and fields. We demonstratively list these theories for some low numbers
thereof. Furthermore, we show how these theories arise from M2-branes probing
toric Calabi-Yau 4-folds by explicitly obtaining the toric data of the vacuum
moduli space. By observing equivalences of the vacua between markedly different
theories, we see a new emergence of "toric duality".
| [
{
"created": "Tue, 25 Nov 2008 10:26:52 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 2008 16:36:27 GMT",
"version": "v2"
}
] | 2008-12-22 | [
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
]
] | We initiate a systematic investigation of the space of 2+1 dimensional quiver gauge theories, emphasising a succinct "forward algorithm". Few "order parametres" are introduced such as the number of terms in the superpotential and the number of gauge groups. Starting with two terms in the superpotential, we find a generating function, with interesting geometric interpretation, which counts the number of inequivalent theories for a given number of gauge groups and fields. We demonstratively list these theories for some low numbers thereof. Furthermore, we show how these theories arise from M2-branes probing toric Calabi-Yau 4-folds by explicitly obtaining the toric data of the vacuum moduli space. By observing equivalences of the vacua between markedly different theories, we see a new emergence of "toric duality". |
hep-th/9310133 | Giuseppe Albertini | Giuseppe Albertini | Fateev-Zamolodchikov spin chain: excitation spectrum, completeness and
thermodynamics | 30 pages, Latex | Int. J. Mod. Phys. A9 (1994) 4921-4948 | 10.1142/S0217751X94001977 | SB-ITP-93-64 | hep-th | null | The sector of zero $Z_{N}$-charge is studied for the ferromagnetic (FM) and
antiferromagnetic (AFM) version of the $Z_{N}\times Z_{2}$ invariant
Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe
ansatz equations should admit, beside the usual string-like solutions,
exceptional multiplets, and a number of non-physical solutions. Once the
physical ones are identified, we show how to get completeness and the gapless
excitation spectrum. The central charge is computed from the specific heat and
found to be $c=2\frac{N-1}{N+2}$ (FM) and $c=1$ (AFM).
| [
{
"created": "Wed, 20 Oct 1993 18:45:45 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Albertini",
"Giuseppe",
""
]
] | The sector of zero $Z_{N}$-charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the $Z_{N}\times Z_{2}$ invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, beside the usual string-like solutions, exceptional multiplets, and a number of non-physical solutions. Once the physical ones are identified, we show how to get completeness and the gapless excitation spectrum. The central charge is computed from the specific heat and found to be $c=2\frac{N-1}{N+2}$ (FM) and $c=1$ (AFM). |
hep-th/0008161 | Andreas Gustavsson | Andreas Gustavsson | On the holomorphically factorized partition function for abelian gauge
theory in six dimensions | 10 pages, the discussion of modular invariance has been extended to
T2 times a four-manifold | Int.J.Mod.Phys. A17 (2002) 383-394 | 10.1142/S0217751X02006018 | null | hep-th | null | We use holomorphic factorization to find the partition functions of an
abelian two-form chiral gauge-field on a flat six-torus. We prove that exactly
one of these partition functions is modular invariant. It turns out to be the
one that previously has been found in a hamiltonian formulation.
| [
{
"created": "Mon, 21 Aug 2000 14:07:26 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Sep 2001 11:42:20 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gustavsson",
"Andreas",
""
]
] | We use holomorphic factorization to find the partition functions of an abelian two-form chiral gauge-field on a flat six-torus. We prove that exactly one of these partition functions is modular invariant. It turns out to be the one that previously has been found in a hamiltonian formulation. |
1904.01616 | Roberto Trinchero | Roberto Trinchero | Wilson-Fisher fixed points for any dimension | 12 pages, 5 figures | Phys. Rev. D 100, 116004 (2019) | 10.1103/PhysRevD.100.116004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The critical behavior of a non-local scalar field theory is studied. This
theory has a non-local quartic interaction term which involves a real power
-\beta of the Laplacian. The parameter \beta can be tuned so as to make that
interaction marginal for any dimension. The lowest order Feynman diagrams
corresponding to coupling constant renormalization, mass renormalization, and
field renormalization are computed. In all cases a non-trivial IR fixed point
is obtained. Remarkably, for dimensions different from 4, field renormalization
is required at the one-loop level. For d=4, the theory reduces to the usual
local \phi^{4} field theory and field renormalization is required starting at
the the two-loop level. The critical exponents \nu and \eta are computed for
dimensions 2,3,4 and 5. For dimensions greater than four, the critical exponent
\eta turns out to be negative for \epsilon>0, which indicates a violation of
the unitarity bounds.
| [
{
"created": "Tue, 2 Apr 2019 18:39:42 GMT",
"version": "v1"
}
] | 2019-12-11 | [
[
"Trinchero",
"Roberto",
""
]
] | The critical behavior of a non-local scalar field theory is studied. This theory has a non-local quartic interaction term which involves a real power -\beta of the Laplacian. The parameter \beta can be tuned so as to make that interaction marginal for any dimension. The lowest order Feynman diagrams corresponding to coupling constant renormalization, mass renormalization, and field renormalization are computed. In all cases a non-trivial IR fixed point is obtained. Remarkably, for dimensions different from 4, field renormalization is required at the one-loop level. For d=4, the theory reduces to the usual local \phi^{4} field theory and field renormalization is required starting at the the two-loop level. The critical exponents \nu and \eta are computed for dimensions 2,3,4 and 5. For dimensions greater than four, the critical exponent \eta turns out to be negative for \epsilon>0, which indicates a violation of the unitarity bounds. |
hep-th/0210123 | Damiano Anselmi | D. Anselmi | "Integrability" of RG flows and duality in three dimensions in the 1/N
expansion | 21 pages, 4 figures | Nucl.Phys. B658 (2003) 440 | 10.1016/S0550-3213(03)00174-3 | IFUP-TH/02-33 | hep-th cond-mat.stat-mech | null | I study some classes of RG flows in three dimensions that are classically
conformal and have manifest g -> 1/g dualities. The RG flow interpolates
between known (four-fermion, Wilson-Fischer, phi_3^6) and new interacting fixed
points. These models have two remarkable properties: i) the RG flow can be
integrated for arbitrarily large values of the couplings g at each order of the
1/N expansion; ii) the duality symmetries are exact at each order of the 1/N
expansion. I integrate the RG flow explicitly to the order O(1/N), write
correlators at the leading-log level and study the interpolation between the
fixed points. I examine how duality is implemented in the regularized theory
and verified in the results of this paper.
| [
{
"created": "Sun, 13 Oct 2002 16:06:59 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Anselmi",
"D.",
""
]
] | I study some classes of RG flows in three dimensions that are classically conformal and have manifest g -> 1/g dualities. The RG flow interpolates between known (four-fermion, Wilson-Fischer, phi_3^6) and new interacting fixed points. These models have two remarkable properties: i) the RG flow can be integrated for arbitrarily large values of the couplings g at each order of the 1/N expansion; ii) the duality symmetries are exact at each order of the 1/N expansion. I integrate the RG flow explicitly to the order O(1/N), write correlators at the leading-log level and study the interpolation between the fixed points. I examine how duality is implemented in the regularized theory and verified in the results of this paper. |
1011.3888 | Jose Magpantay | Jose A. Magpantay | Dual DSR | 22 pages | Phys.Rev.D84:024016,2011; Publisher-note D84:029902,2011;
Phys.Rev.D84:029902,2011 | 10.1103/PhysRevD.84.024016 10.1103/PhysRevD.84.029902 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the physics of dual kappa Poincare algebra, which we will call
dual DSR. First, we show that the dual kappa Poincare algebra is isomorphic to
de Sitter algebra and its spactime is essentially de Sitter spacetime. Second,
we show how to derive the coproduct rules for Beltrami and conformal
coordinates of de Sitter spacetime. It follows from the current literature on
de Sitter relativity that the speed of light c and the de Sitter length are the
two invariant scales of the physics of dual kappa Poincare algebra. Third, we
derive the Casimir invariant of the dual kappa Popincare algebra and use this
to derive an expression for the speed of light, our fourth result. Fifth, the
field equation for the scalar field is derived from the Casimir invariant. The
results for the coordinate speed of light and the scalar field theory are the
same as in de Sitter theory in the planar coordinate basis. Thus, we have shown
that the physics of dual kappa Poincare algebra (in the dual bicrossproduct
basis), which can be apprpriately called dual DSR, is essentially de Sitter
relativity. Sixth, we argue the existence of an observer-independent minimum
momentum. Seventh, we argue heuristically that the existence of minimum
momentum will lead to a dual generalized uncertainty principle. Finally, we
note that dual DSR is not a quantum theory of spacetime but a quantum theory of
momenta.
| [
{
"created": "Wed, 17 Nov 2010 05:24:59 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Apr 2011 02:41:36 GMT",
"version": "v2"
}
] | 2011-08-09 | [
[
"Magpantay",
"Jose A.",
""
]
] | We develop the physics of dual kappa Poincare algebra, which we will call dual DSR. First, we show that the dual kappa Poincare algebra is isomorphic to de Sitter algebra and its spactime is essentially de Sitter spacetime. Second, we show how to derive the coproduct rules for Beltrami and conformal coordinates of de Sitter spacetime. It follows from the current literature on de Sitter relativity that the speed of light c and the de Sitter length are the two invariant scales of the physics of dual kappa Poincare algebra. Third, we derive the Casimir invariant of the dual kappa Popincare algebra and use this to derive an expression for the speed of light, our fourth result. Fifth, the field equation for the scalar field is derived from the Casimir invariant. The results for the coordinate speed of light and the scalar field theory are the same as in de Sitter theory in the planar coordinate basis. Thus, we have shown that the physics of dual kappa Poincare algebra (in the dual bicrossproduct basis), which can be apprpriately called dual DSR, is essentially de Sitter relativity. Sixth, we argue the existence of an observer-independent minimum momentum. Seventh, we argue heuristically that the existence of minimum momentum will lead to a dual generalized uncertainty principle. Finally, we note that dual DSR is not a quantum theory of spacetime but a quantum theory of momenta. |
1506.06474 | Kazuo Ghoroku | Kazuo Ghoroku and Masafumi Ishihara | Entanglement temperature for the excitation of SYM theory in
(De)confinement phase | 24 pages, 5 figures | Phys. Rev. D 92, 085017 (2015) | 10.1103/PhysRevD.92.085017 | FIT HE-15-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic supersymmetric Yang-Mills (SYM) theory, which is
living in a hyperbolic space, in terms of the entanglement entropy. The theory
contains a parameter ($C$) corresponding to the excitation of the SYM theory,
and it controls the dynamical properties of the theory. The entanglement
temperature ($T_{ent}$) is obtained by imposing the thermodynamic law for the
relative entanglement entropy and the energy density of the excitation. This
temperature is available at any value of the parameter $C$ even in the region
where the Hawking temperature disappears. With this new temperature, the
dynamical properties of the excited SYM theory are examined in terms of the
thermodynamic law. We could find the signatures of phase transitions of the
theory.
| [
{
"created": "Mon, 22 Jun 2015 05:51:37 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jun 2015 08:10:53 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Oct 2015 01:34:47 GMT",
"version": "v3"
}
] | 2015-10-21 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Ishihara",
"Masafumi",
""
]
] | We study the holographic supersymmetric Yang-Mills (SYM) theory, which is living in a hyperbolic space, in terms of the entanglement entropy. The theory contains a parameter ($C$) corresponding to the excitation of the SYM theory, and it controls the dynamical properties of the theory. The entanglement temperature ($T_{ent}$) is obtained by imposing the thermodynamic law for the relative entanglement entropy and the energy density of the excitation. This temperature is available at any value of the parameter $C$ even in the region where the Hawking temperature disappears. With this new temperature, the dynamical properties of the excited SYM theory are examined in terms of the thermodynamic law. We could find the signatures of phase transitions of the theory. |
1211.2237 | Thomas Creutzig | Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne | Three point functions in higher spin AdS_3 supergravity | 53 pages | null | 10.1007/JHEP01(2013)171 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous work we have proposed that the Prokushkin-Vasiliev higher spin
N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N
Kazama-Suzuki model. There is now strong evidence supporting this proposal
based on symmetry and spectrum comparison. In this paper we will give further
evidence for the duality by studying correlation functions. We compute boundary
three point functions with two fermionic operators and one higher spin bosonic
current in terms of the bulk supergravity theory. Then we compare with the
results in the dual CFT, where the supersymmetry of the theory turns out to be
very helpful. In particular we use it to confirm results conjectured in the
bosonic case. Moreover, correlators with a fermionic current can be obtained
via supersymmetry.
| [
{
"created": "Fri, 9 Nov 2012 21:04:48 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Nov 2012 13:54:49 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Ronne",
"Peter B.",
""
]
] | In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N Kazama-Suzuki model. There is now strong evidence supporting this proposal based on symmetry and spectrum comparison. In this paper we will give further evidence for the duality by studying correlation functions. We compute boundary three point functions with two fermionic operators and one higher spin bosonic current in terms of the bulk supergravity theory. Then we compare with the results in the dual CFT, where the supersymmetry of the theory turns out to be very helpful. In particular we use it to confirm results conjectured in the bosonic case. Moreover, correlators with a fermionic current can be obtained via supersymmetry. |
hep-th/0204034 | Gaetano Lambiase | A. Iorio, G. Lambiase, G. Vitiello | Entangled Quantum Fields near the Event Horizon and Entropy | 15 pages, RevTeX. Changes in the spirit of the paper. Rearranged
title, abstract and conclusions. Published on Annals of Physics | Ann. Phys. 309 (2004) 151-165 | 10.1016/j.aop.2003.08.006 | MIT-CTP-3399 | hep-th gr-qc quant-ph | null | By fully exploiting the existence of the unitarily inequivalent
representations of quantum fields, we exhibit the entanglement between inner
and outer particles, with respect to the event horizon of a black hole. We
compute the entanglement entropy and we find that the nonunitarity of the
mapping, between the vacua in the flat and the curved frames, makes the
entanglement very robust.
| [
{
"created": "Wed, 3 Apr 2002 13:47:05 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2004 17:46:54 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Iorio",
"A.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Vitiello",
"G.",
""
]
] | By fully exploiting the existence of the unitarily inequivalent representations of quantum fields, we exhibit the entanglement between inner and outer particles, with respect to the event horizon of a black hole. We compute the entanglement entropy and we find that the nonunitarity of the mapping, between the vacua in the flat and the curved frames, makes the entanglement very robust. |
hep-th/0606223 | Konstantinos Dimopoulos | J.C. Bueno Sanchez and K. Dimopoulos | Trapped Quintessential Inflation in the context of Flux
Compactifications | 32 pages, 3 figures, JCAP format. Forgotten acknowledgements
included; otherwise identical to previous version | JCAP 0710:002,2007 | 10.1088/1475-7516/2007/10/002 | null | hep-th astro-ph hep-ph | null | We present a model for quintessential inflation using a string modulus for
the inflaton - quintessence field. The scalar potential of our model is based
on generic non-perturbative potentials arising in flux compactifications. We
assume an enhanced symmetry point (ESP), which fixes the initial conditions for
slow-roll inflation. When crossing the ESP the modulus becomes temporarily
trapped, which leads to a brief stage of trapped inflation. This is followed by
enough slow roll inflation to solve the flatness and horizon problems. After
inflation, the field rolls down the potential and eventually freezes to a
certain value because of cosmological friction. The latter is due to the
thermal bath of the hot big bang, which is produced by the decay of a curvaton
field. The modulus remains frozen until the present, when it becomes
quintessence.
| [
{
"created": "Thu, 22 Jun 2006 14:45:42 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 2006 17:53:39 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Mar 2007 19:40:40 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Mar 2007 11:58:48 GMT",
"version": "v4"
}
] | 2009-08-26 | [
[
"Sanchez",
"J. C. Bueno",
""
],
[
"Dimopoulos",
"K.",
""
]
] | We present a model for quintessential inflation using a string modulus for the inflaton - quintessence field. The scalar potential of our model is based on generic non-perturbative potentials arising in flux compactifications. We assume an enhanced symmetry point (ESP), which fixes the initial conditions for slow-roll inflation. When crossing the ESP the modulus becomes temporarily trapped, which leads to a brief stage of trapped inflation. This is followed by enough slow roll inflation to solve the flatness and horizon problems. After inflation, the field rolls down the potential and eventually freezes to a certain value because of cosmological friction. The latter is due to the thermal bath of the hot big bang, which is produced by the decay of a curvaton field. The modulus remains frozen until the present, when it becomes quintessence. |
1005.0590 | Tomi Koivisto | Tirthabir Biswas, Tomi Koivisto, Anupam Mazumdar | Towards a Resolution of the Cosmological Singularity in Non-local Higher
Derivative Theories of Gravity | 38 pages, 6 figures. V2: Added: a word to the title, clarifications,
an appendix, many references. To appear in JCAP | JCAP 1011:008,2010 | 10.1088/1475-7516/2010/11/008 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the greatest problems of standard cosmology is the Big Bang
singularity. Previously it has been shown that non-local ghostfree
higher-derivative modifications of Einstein gravity in the ultra-violet regime
can admit non-singular bouncing solutions. In this paper we study in more
details the dynamical properties of the equations of motion for these theories
of gravity in presence of positive and negative cosmological constants and
radiation. We find stable inflationary attractor solutions in the presence of a
positive cosmological constant which renders inflation {\it geodesically
complete}, while in the presence of a negative cosmological constant a cyclic
universe emerges. We also provide an algorithm for tracking the super-Hubble
perturbations during the bounce and show that the bouncing solutions are free
from any perturbative instability.
| [
{
"created": "Tue, 4 May 2010 17:35:18 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Nov 2010 14:59:01 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Biswas",
"Tirthabir",
""
],
[
"Koivisto",
"Tomi",
""
],
[
"Mazumdar",
"Anupam",
""
]
] | One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the ultra-violet regime can admit non-singular bouncing solutions. In this paper we study in more details the dynamical properties of the equations of motion for these theories of gravity in presence of positive and negative cosmological constants and radiation. We find stable inflationary attractor solutions in the presence of a positive cosmological constant which renders inflation {\it geodesically complete}, while in the presence of a negative cosmological constant a cyclic universe emerges. We also provide an algorithm for tracking the super-Hubble perturbations during the bounce and show that the bouncing solutions are free from any perturbative instability. |
0903.0377 | Michael Kiermaier | Michael Kiermaier and Stephen G. Naculich | A super MHV vertex expansion for N=4 SYM theory | 26 pages, 3 figures, v2: analytic expression for counting of super
MHV vertex diagrams added; references added | JHEP 0905:072,2009 | 10.1088/1126-6708/2009/05/072 | MIT-CTP-4020, BOW-PH-144 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a supersymmetric generalization of the MHV vertex expansion for
all tree amplitudes in N=4 SYM theory. In addition to the choice of a reference
spinor, this super MHV vertex expansion also depends on four reference
Grassmann parameters. We demonstrate that a significant fraction of diagrams in
the expansion vanishes for a judicious choice of these Grassmann parameters,
which simplifies the computation of amplitudes. Even pure-gluon amplitudes
require fewer diagrams than in the ordinary MHV vertex expansion.
We show that the super MHV vertex expansion arises from the recursion
relation associated with a holomorphic all-line supershift. This is a
supersymmetric generalization of the holomorphic all-line shift recently
introduced in arXiv:0811.3624. We study the large-z behavior of generating
functions under these all-line supershifts, and find that they generically
provide 1/z^k falloff at (Next-to)^k MHV level. In the case of anti-MHV
generating functions, we find that a careful choice of shift parameters
guarantees a stronger 1/z^(k+4) falloff. These particular all-line supershifts
may therefore play an important role in extending the super MHV vertex
expansion to N=8 supergravity.
| [
{
"created": "Mon, 2 Mar 2009 21:36:04 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2009 14:20:17 GMT",
"version": "v2"
}
] | 2009-05-29 | [
[
"Kiermaier",
"Michael",
""
],
[
"Naculich",
"Stephen G.",
""
]
] | We present a supersymmetric generalization of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory. In addition to the choice of a reference spinor, this super MHV vertex expansion also depends on four reference Grassmann parameters. We demonstrate that a significant fraction of diagrams in the expansion vanishes for a judicious choice of these Grassmann parameters, which simplifies the computation of amplitudes. Even pure-gluon amplitudes require fewer diagrams than in the ordinary MHV vertex expansion. We show that the super MHV vertex expansion arises from the recursion relation associated with a holomorphic all-line supershift. This is a supersymmetric generalization of the holomorphic all-line shift recently introduced in arXiv:0811.3624. We study the large-z behavior of generating functions under these all-line supershifts, and find that they generically provide 1/z^k falloff at (Next-to)^k MHV level. In the case of anti-MHV generating functions, we find that a careful choice of shift parameters guarantees a stronger 1/z^(k+4) falloff. These particular all-line supershifts may therefore play an important role in extending the super MHV vertex expansion to N=8 supergravity. |
hep-th/0405289 | Richard Szabo | Richard J. Szabo | Strings, Gauge Fields and Membranes | 53 pages, 8 figures; To be published in the Ian Kogan Memorial
Collection ``From Fields to Strings: Circumnavigating Theoretical Physics'',
World Scientific, 2004 | null | 10.1142/9789812775344_0047 | HWM-04-9, EMPG-04-05 | hep-th | null | We present an overview of the intimate relationship between string and
D-brane dynamics, and the dynamics of gauge and gravitational fields in three
spacetime dimensions. The successes, prospects and open problems in describing
both perturbative and nonperturbative aspects of string theory in terms of
three-dimensional quantum field theory are highlighted.
| [
{
"created": "Mon, 31 May 2004 18:06:49 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Szabo",
"Richard J.",
""
]
] | We present an overview of the intimate relationship between string and D-brane dynamics, and the dynamics of gauge and gravitational fields in three spacetime dimensions. The successes, prospects and open problems in describing both perturbative and nonperturbative aspects of string theory in terms of three-dimensional quantum field theory are highlighted. |
hep-th/9807160 | Gabor Takacs | G. Feverati, F. Ravanini and G. Takacs | Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive
Thirring Theory | LaTeX2e, 12 pp., 3 eps figs. Remarks on locality added | Phys.Lett. B444 (1998) 442-450 | 10.1016/S0370-2693(98)01406-3 | DFUB-98-16 | hep-th | null | A non-linear integral equation (NLIE) governing the finite size effects of
excited states of even topological charge in the sine-Gordon (sG) / massive
Thirring (mTh) field theory, deducible from a light-cone lattice formulation of
the model, has been known for some time. In this letter we conjecture an
extension of this NLIE to states with odd topological charge, thus completing
the spectrum of the theory. The scaling functions obtained as solutions to our
conjectured NLIE are compared successfully with Truncated Conformal Space data
and the construction is shown to be compatible with all other facts known about
the local Hilbert spaces of sG and mTh models. With the present results we have
achieved a full control over the finite size behaviour of energy levels of
sG/mTh theory.
| [
{
"created": "Tue, 21 Jul 1998 15:35:42 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 1998 14:14:58 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Feverati",
"G.",
""
],
[
"Ravanini",
"F.",
""
],
[
"Takacs",
"G.",
""
]
] | A non-linear integral equation (NLIE) governing the finite size effects of excited states of even topological charge in the sine-Gordon (sG) / massive Thirring (mTh) field theory, deducible from a light-cone lattice formulation of the model, has been known for some time. In this letter we conjecture an extension of this NLIE to states with odd topological charge, thus completing the spectrum of the theory. The scaling functions obtained as solutions to our conjectured NLIE are compared successfully with Truncated Conformal Space data and the construction is shown to be compatible with all other facts known about the local Hilbert spaces of sG and mTh models. With the present results we have achieved a full control over the finite size behaviour of energy levels of sG/mTh theory. |
hep-th/9608099 | Thomas Mohaupt | Gabriel Lopes Cardoso, Dieter Lust and Thomas Mohaupt | Modular Symmetries of N=2 Black Holes | 12 pages, LaTeX | Phys.Lett.B388:266-272,1996 | 10.1016/S0370-2693(96)01138-0 | CERN-TH/96-223, HUB-EP-96/42 | hep-th | null | We discuss the transformation properties of classical extremal N=2 black hole
solutions in S-T-U like models under S and T duality. Using invariants of
(subgroups of) the triality group, which is the symmetry group of the classical
BPS mass formula, the transformation properties of the moduli on the event
horizon and of the entropy under these transformations become manifest. We also
comment on quantum corrections and we make a conjecture for the one-loop
corrected entropy.
| [
{
"created": "Thu, 15 Aug 1996 14:59:15 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Lust",
"Dieter",
""
],
[
"Mohaupt",
"Thomas",
""
]
] | We discuss the transformation properties of classical extremal N=2 black hole solutions in S-T-U like models under S and T duality. Using invariants of (subgroups of) the triality group, which is the symmetry group of the classical BPS mass formula, the transformation properties of the moduli on the event horizon and of the entropy under these transformations become manifest. We also comment on quantum corrections and we make a conjecture for the one-loop corrected entropy. |
2209.13907 | Dorin Weissman | Mirian Tsulaia, Dorin Weissman | Supersymmetric Quantum Chiral Higher Spin Gravity | v1: 21 pages, LaTex; v2: minor corrections and additions, references
added, 22 pages; v3: some clarifications added, typos corrected, published
version | JHEP 12 (2022) 002 | 10.1007/JHEP12(2022)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum properties of supersymmetric N=1 and N=4 extensions of the
four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs). We discuss the
spectra, the classical actions and define the Feynman rules in N=1 and N=4
superspaces in the light-front gauge. Using these Feynman rules, we compute
tree and one-loop amplitudes for these systems. A dimensional reduction to a
system with N=2 supersymmetry and with massive higher spin fields is performed
and quantum properties of this system are discussed.
| [
{
"created": "Wed, 28 Sep 2022 08:22:11 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 2022 04:57:57 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2022 07:35:35 GMT",
"version": "v3"
}
] | 2022-12-06 | [
[
"Tsulaia",
"Mirian",
""
],
[
"Weissman",
"Dorin",
""
]
] | We study quantum properties of supersymmetric N=1 and N=4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs). We discuss the spectra, the classical actions and define the Feynman rules in N=1 and N=4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with N=2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed. |
2406.17852 | Murad Alim | Murad Alim | Non-perturbative topological strings from resurgence | 34 pages, 1 figure | null | null | null | hep-th math-ph math.AG math.MP | http://creativecommons.org/licenses/by/4.0/ | The partition function of topological string theory on any family of
Calabi-Yau threefolds is defined perturbatively as an asymptotic series in the
topological string coupling and encodes, in a holomorphic limit, higher genus
Gromov-Witten as well as Gopakumar-Vafa invariants. We prove that the partition
function of topological strings of any CY in this limit can be written as a
product, where each factor is given by the partition function of the resolved
conifold with shifted arguments, raised to the power of certain sheaf
invariants. We use this result to put forward an expression for the
non-perturbative topological string partition function in this limit, as a
product over analytic functions in the topological string coupling which
correspond to the Borel sums for the resolved conifold found previously. The
non-perturbative corrections to the partition function are identified with
Stokes jumps of a Borel summation. They depend only on genus zero GV invariants
and can be expressed entirely in terms of a single function which is introduced
as a deformation of the prepotential.
| [
{
"created": "Tue, 25 Jun 2024 18:00:02 GMT",
"version": "v1"
}
] | 2024-06-27 | [
[
"Alim",
"Murad",
""
]
] | The partition function of topological string theory on any family of Calabi-Yau threefolds is defined perturbatively as an asymptotic series in the topological string coupling and encodes, in a holomorphic limit, higher genus Gromov-Witten as well as Gopakumar-Vafa invariants. We prove that the partition function of topological strings of any CY in this limit can be written as a product, where each factor is given by the partition function of the resolved conifold with shifted arguments, raised to the power of certain sheaf invariants. We use this result to put forward an expression for the non-perturbative topological string partition function in this limit, as a product over analytic functions in the topological string coupling which correspond to the Borel sums for the resolved conifold found previously. The non-perturbative corrections to the partition function are identified with Stokes jumps of a Borel summation. They depend only on genus zero GV invariants and can be expressed entirely in terms of a single function which is introduced as a deformation of the prepotential. |
hep-th/9412022 | null | N. Banerjee and Subir Ghosh | Interacting anyons and the Darwin Lagrangian | Latex file, 10 pages, no figures | Phys.Rev. D52 (1995) 6130-6133 | 10.1103/PhysRevD.52.6130 | SINP-TNP/94-14 | hep-th | null | We propose a new model for interacting (electrically charged) anyons, where
the 2+1-dimensional Darwin term is responsible for interactions. The
Hamiltonian is comparable with the one used previously (in the RPA
calculation).
| [
{
"created": "Fri, 2 Dec 1994 13:55:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Banerjee",
"N.",
""
],
[
"Ghosh",
"Subir",
""
]
] | We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously (in the RPA calculation). |
hep-th/0309019 | Dmitri Vassilevich | V. N. Marachevsky, D. V. Vassilevich | Chiral anomaly for local boundary conditions | 20 p., latex | Nucl.Phys. B677 (2004) 535-552 | 10.1016/j.nuclphysb.2003.11.009 | null | hep-th hep-ph | null | It is known that in the zeta function regularization and in the Fujikawa
method chiral anomaly is defined through a coefficient in the heat kernel
expansion for the Dirac operator. In this paper we apply the heat kernel
methods to calculate boundary contributions to the chiral anomaly for local
(bag) boundary conditions. As a by-product some new results on the heat trace
asymptotics are also obtained.
| [
{
"created": "Mon, 1 Sep 2003 14:35:06 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Marachevsky",
"V. N.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | It is known that in the zeta function regularization and in the Fujikawa method chiral anomaly is defined through a coefficient in the heat kernel expansion for the Dirac operator. In this paper we apply the heat kernel methods to calculate boundary contributions to the chiral anomaly for local (bag) boundary conditions. As a by-product some new results on the heat trace asymptotics are also obtained. |
hep-th/9602019 | null | D. Han and Y. S. Kim | Two Different Squeeze Transformations | 9 pages, LaTex, no figures, presented at the 4th International
Conference on Squeezed States and Uncertainty Relations (Taiyuan, Shanxi,
China, June 5-8, 1995) | null | null | null | hep-th | null | Lorentz boosts are squeeze transformations. While these transformations are
similar to those in squeezed states of light, they are fundamentally different
from both physical and mathematical points of view. The difference is
illustrated in terms of two coupled harmonic oscillators, and in terms of the
covariant harmonic oscillator formalism.
| [
{
"created": "Mon, 5 Feb 1996 15:28:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Han",
"D.",
""
],
[
"Kim",
"Y. S.",
""
]
] | Lorentz boosts are squeeze transformations. While these transformations are similar to those in squeezed states of light, they are fundamentally different from both physical and mathematical points of view. The difference is illustrated in terms of two coupled harmonic oscillators, and in terms of the covariant harmonic oscillator formalism. |
hep-th/0312292 | Sunandan Gangopadhyay | Biswajit Chakraborty, Sunandan Gangopadhyay, Anirban Saha | Seiberg-Witten map and Galilean symmetry violation in a non-commutative
planar system | REVTeX, 4 pages, Title changed, Paper shortened, Appendix removed, A
new section on Galilean symmetry added | Phys.Rev. D70 (2004) 107707 | 10.1103/PhysRevD.70.107707 | null | hep-th | null | An effective U(1) gauge invariant theory is constructed for a non-commutative
Schrodinger field coupled to a background U(1)_{\star} gauge field in
2+1-dimensions using first order Seiberg-Witten map. We show that this
effective theory can be cast in the form of usual Schrodinger action with
interaction terms of noncommutative origin provided the gauge field is of
``background'' type with constant magnetic field. The Galilean symmetry is
investigated and a violation is found in the boost sector. We also consider the
problem of Hall conductivity in this framework.
| [
{
"created": "Fri, 26 Dec 2003 12:16:01 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 2004 10:50:21 GMT",
"version": "v2"
},
{
"created": "Thu, 20 May 2004 12:14:56 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Dec 2004 09:53:28 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Chakraborty",
"Biswajit",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Saha",
"Anirban",
""
]
] | An effective U(1) gauge invariant theory is constructed for a non-commutative Schrodinger field coupled to a background U(1)_{\star} gauge field in 2+1-dimensions using first order Seiberg-Witten map. We show that this effective theory can be cast in the form of usual Schrodinger action with interaction terms of noncommutative origin provided the gauge field is of ``background'' type with constant magnetic field. The Galilean symmetry is investigated and a violation is found in the boost sector. We also consider the problem of Hall conductivity in this framework. |
hep-th/0204006 | Antonio Soares de Castro | Antonio S. de Castro | Comment on "Relativistic extension of shape-invariant potentials" | null | J.Phys.A35:6203-6204,2002 | 10.1088/0305-4470/35/29/404 | null | hep-th | null | This comment directs attention to some fails of the Alhaidari approach to
solve relativistic problems. It is shown that his gauge considerations are way
off the mark and that the class of exactly solvable relativistic problems is
not so enlarged as Alhaidari thinks it is.
| [
{
"created": "Sat, 30 Mar 2002 19:20:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"de Castro",
"Antonio S.",
""
]
] | This comment directs attention to some fails of the Alhaidari approach to solve relativistic problems. It is shown that his gauge considerations are way off the mark and that the class of exactly solvable relativistic problems is not so enlarged as Alhaidari thinks it is. |
hep-th/9305091 | Peter Freund | Peter G. O. Freund and Anton V. Zabrodin | The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation | 11 pages | Phys.Lett. B311 (1993) 103-109 | 10.1016/0370-2693(93)90541-O | null | hep-th | null | We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations
for $U_q(\widehat{sl_2}) (0 < q \leq 1)$ at level zero. The case of 2-point
functions in the fundamental representation is studied in detail. The
scattering states are found explicitly in terms of continuous q-Jacobi
polynomials. The corresponding S-matrix is shown to coincide, up to a trivial
factor, with the kink-antikink S-matrix in the spin-1/2 XXZ antiferromagnet.
| [
{
"created": "Thu, 20 May 1993 00:22:48 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Freund",
"Peter G. O.",
""
],
[
"Zabrodin",
"Anton V.",
""
]
] | We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for $U_q(\widehat{sl_2}) (0 < q \leq 1)$ at level zero. The case of 2-point functions in the fundamental representation is studied in detail. The scattering states are found explicitly in terms of continuous q-Jacobi polynomials. The corresponding S-matrix is shown to coincide, up to a trivial factor, with the kink-antikink S-matrix in the spin-1/2 XXZ antiferromagnet. |
0706.0071 | Kazunori Takenaga | M. Sakamoto (Kobe) and K. Takenaga (Tohoku) | On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields | 22 pages, 6 figures, references and typos corrected, version to
appear in PRD | Phys.Rev.D76:085016,2007 | 10.1103/PhysRevD.76.085016 | KOBE-TH-07-03, TU-793 | hep-th hep-ph | null | We study gauge theories with/without an extra dimension at finite
temperature, in which there are two kinds of order parameters of gauge symmetry
breaking. The one is the zero mode of the gauge field for the Euclidean time
direction and the other is that for the direction of the extra dimension. We
evaluate the effective potential for the zero modes in one-loop approximation
and investigate the vacuum configuration in detail. Our analyses show that
gauge symmetry can be broken only through the zero mode for the direction of
the extra dimension and no nontrivial vacuum configuration of the zero mode for
the Euclidean time direction is found.
| [
{
"created": "Fri, 1 Jun 2007 05:34:03 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Aug 2007 14:39:57 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Oct 2007 04:58:53 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Sakamoto",
"M.",
"",
"Kobe"
],
[
"Takenaga",
"K.",
"",
"Tohoku"
]
] | We study gauge theories with/without an extra dimension at finite temperature, in which there are two kinds of order parameters of gauge symmetry breaking. The one is the zero mode of the gauge field for the Euclidean time direction and the other is that for the direction of the extra dimension. We evaluate the effective potential for the zero modes in one-loop approximation and investigate the vacuum configuration in detail. Our analyses show that gauge symmetry can be broken only through the zero mode for the direction of the extra dimension and no nontrivial vacuum configuration of the zero mode for the Euclidean time direction is found. |
2406.19487 | Josef Kluson | J. Kluson | Deparametrization of General Relativity by Space-Time Filling Unstable
D9-Brane with Arbitrary Value of Tachyon | 24 pages | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We calculate algebra of constraints of deparametrized General Relativity with
space-time filling unstable D-brane for arbitrary value of tachyon field T. We
also propose observables that have vanishing Poisson brackets with all first
class constraints.
| [
{
"created": "Thu, 27 Jun 2024 19:04:42 GMT",
"version": "v1"
}
] | 2024-07-01 | [
[
"Kluson",
"J.",
""
]
] | We calculate algebra of constraints of deparametrized General Relativity with space-time filling unstable D-brane for arbitrary value of tachyon field T. We also propose observables that have vanishing Poisson brackets with all first class constraints. |
1309.5876 | Thomas T. Dumitrescu | Cyril Closset, Thomas T. Dumitrescu, Guido Festuccia, Zohar
Komargodski | The Geometry of Supersymmetric Partition Functions | 67 pages; discussion of three-dimensional geometry rephrased in terms
of transversely holomorphic foliations, references added | null | 10.1007/JHEP01(2014)124 | WIS/09/13 SEP-DPPA | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider supersymmetric field theories on compact manifolds M and obtain
constraints on the parameter dependence of their partition functions Z_M. Our
primary focus is the dependence of Z_M on the geometry of M, as well as
background gauge fields that couple to continuous flavor symmetries. For N=1
theories with a U(1)_R symmetry in four dimensions, M must be a complex
manifold with a Hermitian metric. We find that Z_M is independent of the metric
and depends holomorphically on the complex structure moduli. Background gauge
fields define holomorphic vector bundles over M and Z_M is a holomorphic
function of the corresponding bundle moduli. We also carry out a parallel
analysis for three-dimensional N=2 theories with a U(1)_R symmetry, where the
necessary geometric structure on M is a transversely holomorphic foliation
(THF) with a transversely Hermitian metric. Again, we find that Z_M is
independent of the metric and depends holomorphically on the moduli of the THF.
We discuss several applications, including manifolds diffeomorphic to S^3 x S^1
or S^2 x S^1, which are related to supersymmetric indices, and manifolds
diffeomorphic to S^3 (squashed spheres). In examples where Z_M has been
calculated explicitly, our results explain many of its observed properties.
| [
{
"created": "Mon, 23 Sep 2013 16:53:10 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2013 21:35:56 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Closset",
"Cyril",
""
],
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Komargodski",
"Zohar",
""
]
] | We consider supersymmetric field theories on compact manifolds M and obtain constraints on the parameter dependence of their partition functions Z_M. Our primary focus is the dependence of Z_M on the geometry of M, as well as background gauge fields that couple to continuous flavor symmetries. For N=1 theories with a U(1)_R symmetry in four dimensions, M must be a complex manifold with a Hermitian metric. We find that Z_M is independent of the metric and depends holomorphically on the complex structure moduli. Background gauge fields define holomorphic vector bundles over M and Z_M is a holomorphic function of the corresponding bundle moduli. We also carry out a parallel analysis for three-dimensional N=2 theories with a U(1)_R symmetry, where the necessary geometric structure on M is a transversely holomorphic foliation (THF) with a transversely Hermitian metric. Again, we find that Z_M is independent of the metric and depends holomorphically on the moduli of the THF. We discuss several applications, including manifolds diffeomorphic to S^3 x S^1 or S^2 x S^1, which are related to supersymmetric indices, and manifolds diffeomorphic to S^3 (squashed spheres). In examples where Z_M has been calculated explicitly, our results explain many of its observed properties. |
1509.00024 | Benedict J. Broy | Benedict J. Broy, David Ciupke, Francisco G. Pedro and Alexander
Westphal | Starobinsky-Type Inflation from $\alpha'$-Corrections | 29 pages, 6 figures; v2: clarifications and refs added | JCAP01(2016)001 | 10.1088/1475-7516/2016/01/001 | IFT-UAM/CSIC-15-093, DESY-15-166 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Working in the Large Volume Scenario (LVS) of IIB Calabi-Yau flux
compactifications, we construct inflationary models from recently computed
higher derivative $(\alpha')^3$-corrections. Inflation is driven by a Kaehler
modulus whose potential arises from the aforementioned corrections, while we
use the inclusion of string loop effects just to ensure the existence of a
graceful exit when necessary. The effective inflaton potential takes a
Starobinsky-type form $V=V_0(1-e^{-\nu\phi})^2$, where we obtain one set-up
with $\nu=-1/\sqrt{3}$ and one with $\nu=2/\sqrt{3}$ corresponding to inflation
occurring for increasing or decreasing $\phi$ respectively. The inflationary
observables are thus in perfect agreement with PLANCK, while the two scenarios
remain observationally distinguishable via slightly varying predictions for the
tensor-to-scalar ratio $r$. Both set-ups yield $r\simeq (2\ldots 7)\,\times
10^{-3}$. They hence realise inflation with moderately large fields
$\left(\Delta\phi\sim 6\thinspace M_{Pl}\right)$ without saturating the Lyth
bound. Control over higher corrections relies in part on tuning underlying
microscopic parameters, and in part on intrinsic suppressions. The intrinsic
part of control arises as a leftover from an approximate effective shift
symmetry at parametrically large volume.
| [
{
"created": "Mon, 31 Aug 2015 20:14:37 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 2016 10:33:32 GMT",
"version": "v2"
}
] | 2016-01-08 | [
[
"Broy",
"Benedict J.",
""
],
[
"Ciupke",
"David",
""
],
[
"Pedro",
"Francisco G.",
""
],
[
"Westphal",
"Alexander",
""
]
] | Working in the Large Volume Scenario (LVS) of IIB Calabi-Yau flux compactifications, we construct inflationary models from recently computed higher derivative $(\alpha')^3$-corrections. Inflation is driven by a Kaehler modulus whose potential arises from the aforementioned corrections, while we use the inclusion of string loop effects just to ensure the existence of a graceful exit when necessary. The effective inflaton potential takes a Starobinsky-type form $V=V_0(1-e^{-\nu\phi})^2$, where we obtain one set-up with $\nu=-1/\sqrt{3}$ and one with $\nu=2/\sqrt{3}$ corresponding to inflation occurring for increasing or decreasing $\phi$ respectively. The inflationary observables are thus in perfect agreement with PLANCK, while the two scenarios remain observationally distinguishable via slightly varying predictions for the tensor-to-scalar ratio $r$. Both set-ups yield $r\simeq (2\ldots 7)\,\times 10^{-3}$. They hence realise inflation with moderately large fields $\left(\Delta\phi\sim 6\thinspace M_{Pl}\right)$ without saturating the Lyth bound. Control over higher corrections relies in part on tuning underlying microscopic parameters, and in part on intrinsic suppressions. The intrinsic part of control arises as a leftover from an approximate effective shift symmetry at parametrically large volume. |
hep-th/0405107 | Gordon Semenoff | Gordon W. Semenoff | Matrix Model Thermodynamics | Presented at ``Circumnavigating Theoretical Physics'', in Memory of
Ian Kogan, Oxford, U.K., January 2004. Plenary lecture at ``Quantum Theory
and Symmetries'', Cincinnati, Ohio, October 2003 | null | 10.1142/9789812702340_0071 | null | hep-th | null | Some recent work on the thermodynamic behavior of the matrix model of
M-theory on a pp-wave background is reviewed. We examine a weak coupling limit
where computations can be done explicitly. In the large N limit, we find a
phase transition between two distinct phases which resembles a
``confinement-deconfinement'' transition in gauge theory and which we speculate
must be related to a geometric transition in M-theory. We review arguments that
the phase transition is also related to the Hagedorn transition of little
string theory in a certain limit of the 5-brane geometry.
| [
{
"created": "Wed, 12 May 2004 04:47:38 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Semenoff",
"Gordon W.",
""
]
] | Some recent work on the thermodynamic behavior of the matrix model of M-theory on a pp-wave background is reviewed. We examine a weak coupling limit where computations can be done explicitly. In the large N limit, we find a phase transition between two distinct phases which resembles a ``confinement-deconfinement'' transition in gauge theory and which we speculate must be related to a geometric transition in M-theory. We review arguments that the phase transition is also related to the Hagedorn transition of little string theory in a certain limit of the 5-brane geometry. |
2007.02987 | Xiao-Liang Qi | Xi Dong, Xiao-Liang Qi, Zhou Shangnan and Zhenbin Yang | Effective entropy of quantum fields coupled with gravity | 52 pages, 22 figures | null | 10.1007/JHEP10(2020)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entanglement entropy quantifies the amount of uncertainty of a quantum state.
For quantum fields in curved space, entanglement entropy of the quantum field
theory degrees of freedom is well-defined for a fixed background geometry. In
this paper, we propose a generalization of the quantum field theory
entanglement entropy by including dynamical gravity. The generalized quantity
named effective entropy, and its Renyi entropy generalizations, are defined by
analytic continuation of a gravitational path integral on replica geometry with
a co-dimension-$2$ brane at the boundary of region we are studying. We discuss
different approaches to define the region in a gauge invariant way, and show
that the effective entropy satisfies the quantum extremal surface formula. When
the quantum fields carry a significant amount of entanglement, the quantum
extremal surface can have a topology transition, after which an entanglement
island region appears. Our result generalizes the Hubeny-Rangamani-Takayanagi
formula of holographic entropy (with quantum corrections) to general geometries
without asymptotic AdS boundary, and provides a more solid framework for
addressing problems such as the Page curve of evaporating black holes in
asymptotic flat spacetime. We apply the formula to two example systems, a
closed two-dimensional universe and a four-dimensional maximally extended
Schwarzchild black hole. We discuss the analog of the effective entropy in
random tensor network models, which provides more concrete understanding of
quantum information properties in general dynamical geometries. By introducing
ancilla systems, we show how quantum information in the entanglement island can
be reconstructed in a state-dependent and observer-dependent map. We study the
closed universe (without spatial boundary) case and discuss how it is related
to open universe.
| [
{
"created": "Mon, 6 Jul 2020 18:14:09 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"Dong",
"Xi",
""
],
[
"Qi",
"Xiao-Liang",
""
],
[
"Shangnan",
"Zhou",
""
],
[
"Yang",
"Zhenbin",
""
]
] | Entanglement entropy quantifies the amount of uncertainty of a quantum state. For quantum fields in curved space, entanglement entropy of the quantum field theory degrees of freedom is well-defined for a fixed background geometry. In this paper, we propose a generalization of the quantum field theory entanglement entropy by including dynamical gravity. The generalized quantity named effective entropy, and its Renyi entropy generalizations, are defined by analytic continuation of a gravitational path integral on replica geometry with a co-dimension-$2$ brane at the boundary of region we are studying. We discuss different approaches to define the region in a gauge invariant way, and show that the effective entropy satisfies the quantum extremal surface formula. When the quantum fields carry a significant amount of entanglement, the quantum extremal surface can have a topology transition, after which an entanglement island region appears. Our result generalizes the Hubeny-Rangamani-Takayanagi formula of holographic entropy (with quantum corrections) to general geometries without asymptotic AdS boundary, and provides a more solid framework for addressing problems such as the Page curve of evaporating black holes in asymptotic flat spacetime. We apply the formula to two example systems, a closed two-dimensional universe and a four-dimensional maximally extended Schwarzchild black hole. We discuss the analog of the effective entropy in random tensor network models, which provides more concrete understanding of quantum information properties in general dynamical geometries. By introducing ancilla systems, we show how quantum information in the entanglement island can be reconstructed in a state-dependent and observer-dependent map. We study the closed universe (without spatial boundary) case and discuss how it is related to open universe. |
hep-th/9403058 | James H. Horne | James H. Horne and Gregory Moore | Chaotic Coupling Constants | 18 pages (4 figs), YCTP-P2-94, RU-94-25 | Nucl.Phys. B432 (1994) 109-126 | 10.1016/0550-3213(94)90595-9 | null | hep-th | null | We examine some novel physical consequences of the general structure of
moduli spaces of string vacua. These include (1) finiteness of the volume of
the moduli space and (2) chaotic motion of the moduli in the early universe. To
fix ideas we examine in detail the example of the (conjectural) dilaton-axion
``$S$-duality'' of four-dimensional string compactifications. The facts (1) and
(2) together might help to solve some problems with the standard scenarios for
supersymmetry breaking and vacuum selection in string theory.
| [
{
"created": "Wed, 9 Mar 1994 23:12:31 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Horne",
"James H.",
""
],
[
"Moore",
"Gregory",
""
]
] | We examine some novel physical consequences of the general structure of moduli spaces of string vacua. These include (1) finiteness of the volume of the moduli space and (2) chaotic motion of the moduli in the early universe. To fix ideas we examine in detail the example of the (conjectural) dilaton-axion ``$S$-duality'' of four-dimensional string compactifications. The facts (1) and (2) together might help to solve some problems with the standard scenarios for supersymmetry breaking and vacuum selection in string theory. |
hep-th/0406164 | Mark D. Roberts | Mark D. Roberts | A Fluid Generalization of Membranes | To appear in CEJP, updated to coincide with published version | Central Eur.J.Phys.9:1016-1021,2011 | 10.2478/s11534-011-0031-6 | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a certain sense a perfect fluid is a generalization of a point particle.
This leads to the question as to what is the corresponding generalization for
extended objects. The lagrangian formulation of a perfect fluid is much
generalized and this has as a particular example a fluid which is a classical
generalization of a membrane, however there is as yet no indication of any
relationship between their quantum theories.
| [
{
"created": "Sat, 19 Jun 2004 15:01:50 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2011 15:16:02 GMT",
"version": "v2"
}
] | 2011-05-19 | [
[
"Roberts",
"Mark D.",
""
]
] | In a certain sense a perfect fluid is a generalization of a point particle. This leads to the question as to what is the corresponding generalization for extended objects. The lagrangian formulation of a perfect fluid is much generalized and this has as a particular example a fluid which is a classical generalization of a membrane, however there is as yet no indication of any relationship between their quantum theories. |
1701.02921 | Shanquan Lan | Shanquan Lan and Wenbiao Liu and Yu Tian | Statical Structures of the BCS-like Holographic Superfluid in AdS4
Spacetime | 13 pages, 19 figures | Phys. Rev. D 95, 066013 (2017) | 10.1103/PhysRevD.95.066013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate in detail the m^{2}=0 Abelian Higgs model in AdS4, which is
considered as the holographic dual of the most BCS-like superfluid. In
homogeneous and isotropic superfluid solutions, we calculate the sound speeds,
square of which approaches to 1/2 with increasing chemical potential (lowering
temperature). Then we present the single dark soliton solutions, which becomes
thinner with increasing chemical potential. For the first time, we also find
the interesting double and triple dark soliton solutions, which is unexpected
and shows the possibility of more complicated static configurations. Finally,
we investigate vortex solutions. For winding number n=1, the vortex becomes
thinner with increasing chemical potential. At a given chemical potential, with
increasing winding number, firstly the vortex becomes bigger and the charge
density depletion becomes larger, then the charge density depletion settles
down at a certain value and the growth of the vortex size is found to obey a
scaling symmetry.
| [
{
"created": "Wed, 11 Jan 2017 10:47:15 GMT",
"version": "v1"
}
] | 2017-03-29 | [
[
"Lan",
"Shanquan",
""
],
[
"Liu",
"Wenbiao",
""
],
[
"Tian",
"Yu",
""
]
] | We investigate in detail the m^{2}=0 Abelian Higgs model in AdS4, which is considered as the holographic dual of the most BCS-like superfluid. In homogeneous and isotropic superfluid solutions, we calculate the sound speeds, square of which approaches to 1/2 with increasing chemical potential (lowering temperature). Then we present the single dark soliton solutions, which becomes thinner with increasing chemical potential. For the first time, we also find the interesting double and triple dark soliton solutions, which is unexpected and shows the possibility of more complicated static configurations. Finally, we investigate vortex solutions. For winding number n=1, the vortex becomes thinner with increasing chemical potential. At a given chemical potential, with increasing winding number, firstly the vortex becomes bigger and the charge density depletion becomes larger, then the charge density depletion settles down at a certain value and the growth of the vortex size is found to obey a scaling symmetry. |
1403.3269 | Augusto Sagnotti Prof. | I. Antoniadis (CERN), E. Dudas (CphT - Ecole Polytechnique), S.
Ferrara (CERN), A. Sagnotti (Scuola Normale Superiore and INFN, Pisa) | The Minimal Volkov - Akulov - Starobinsky Supergravity | 9 pages, LaTeX. Title shortened, references added. To appear in Phys.
Lett. B | null | 10.1016/j.physletb.2014.04.015 | CERN-PH-TH/2014-040, CPHT-RR010.0314 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a supergravity model whose scalar degrees of freedom arise from
a chiral superfield and are solely a scalaron and an axion that is very heavy
during the inflationary phase. The model includes a second chiral superfield
$X$, which is subject however to the constraint $X^2=0$ so that it describes
only a Volkov - Akulov goldstino and an auxiliary field. We also construct the
dual higher - derivative model, which rests on a chiral scalar curvature
superfield ${\cal R}$ subject to the constraint ${\cal R}^2=0$, where the
goldstino dual arises from the gauge - invariant gravitino field strength as
$\gamma^{mn} {\cal D}_m \psi_n$. The final bosonic action is an $R+R^2$ theory
involving an axial vector $A_m$ that only propagates a physical pseudoscalar
mode.
| [
{
"created": "Thu, 13 Mar 2014 14:03:43 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Apr 2014 22:06:08 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Antoniadis",
"I.",
"",
"CERN"
],
[
"Dudas",
"E.",
"",
"CphT - Ecole Polytechnique"
],
[
"Ferrara",
"S.",
"",
"CERN"
],
[
"Sagnotti",
"A.",
"",
"Scuola Normale Superiore and INFN, Pisa"
]
] | We construct a supergravity model whose scalar degrees of freedom arise from a chiral superfield and are solely a scalaron and an axion that is very heavy during the inflationary phase. The model includes a second chiral superfield $X$, which is subject however to the constraint $X^2=0$ so that it describes only a Volkov - Akulov goldstino and an auxiliary field. We also construct the dual higher - derivative model, which rests on a chiral scalar curvature superfield ${\cal R}$ subject to the constraint ${\cal R}^2=0$, where the goldstino dual arises from the gauge - invariant gravitino field strength as $\gamma^{mn} {\cal D}_m \psi_n$. The final bosonic action is an $R+R^2$ theory involving an axial vector $A_m$ that only propagates a physical pseudoscalar mode. |
hep-th/9109048 | null | A. A. Tseytlin and C. Vafa | Elements of String Cosmology | 34 pages | Nucl.Phys.B372:443-466,1992 | 10.1016/0550-3213(92)90327-8 | null | hep-th | null | Aspects of string cosmology for critical and non-critical strings are
discussed emphasizing the necessity to account for the dilaton dynamics for a
proper incorporation of ``large - small" duality. This drastically modifies the
intuition one has with Einstein's gravity. For example winding modes, even
though contribute to energy density, oppose expansion and if not annihilated
will stop the expansion. Moreover we find that the radiation dominated era of
the standard cosmology emerges quite naturally in string cosmology. Our
analysis of non-critical string cosmology provides a reinterpretation of the
(universal cover of the) recently studied two dimensional black hole solution
as a conformal realization of cosmological solutions found previously by
Mueller.
| [
{
"created": "Wed, 25 Sep 1991 15:07:05 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
],
[
"Vafa",
"C.",
""
]
] | Aspects of string cosmology for critical and non-critical strings are discussed emphasizing the necessity to account for the dilaton dynamics for a proper incorporation of ``large - small" duality. This drastically modifies the intuition one has with Einstein's gravity. For example winding modes, even though contribute to energy density, oppose expansion and if not annihilated will stop the expansion. Moreover we find that the radiation dominated era of the standard cosmology emerges quite naturally in string cosmology. Our analysis of non-critical string cosmology provides a reinterpretation of the (universal cover of the) recently studied two dimensional black hole solution as a conformal realization of cosmological solutions found previously by Mueller. |
hep-th/9311179 | null | Jan Sladkowski | Particle physics from the noncommutative geometry point of view | 16 pages, LaTeX file, BI-TP 93/64 | Acta Phys.Polon. B25 (1994) 1255-1265 | null | null | hep-th hep-ph | null | Recent development in noncommutative geometry generalization of gauge theory
is reviewed. The mathematical apparatus is reduced to minimum in order to allow
the non-mathematically oriented physicists to follow the development in the
interesting field of research. (Lectures presented at the Silesian School of
Theoretical Physics: Standard Model and Beyond'93, Szczyrk (Poland), September
1993.)
| [
{
"created": "Tue, 30 Nov 1993 09:49:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sladkowski",
"Jan",
""
]
] | Recent development in noncommutative geometry generalization of gauge theory is reviewed. The mathematical apparatus is reduced to minimum in order to allow the non-mathematically oriented physicists to follow the development in the interesting field of research. (Lectures presented at the Silesian School of Theoretical Physics: Standard Model and Beyond'93, Szczyrk (Poland), September 1993.) |
2301.12848 | Leandro Roza Livramento PhD | Leandro Roza Livramento, Eugen Radu, Yakov Shnir | Solitons in the Gauged Skyrme-Maxwell Model | 17 pages, 6 figures | SIGMA 19 (2023), 042, 17 pages | 10.3842/SIGMA.2023.042 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider soliton solutions of the U(1) gauged Skyrme model with the pion
mass term. The domain of existence of gauged Skyrmions is restricted from above
by the value of the pion mass. Concentrating on the solutions of topological
degree one, we find that coupling to the electromagnetic field breaks the
symmetry of the configurations, the Skyrmions carrying both an electric charge
and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also
possess an angular momentum, which is quantized in the units of the electric
charge. The mass of the gauged Skyrmions monotonically decreases with increase
of the gauge coupling.
| [
{
"created": "Mon, 30 Jan 2023 12:59:53 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2023 19:26:52 GMT",
"version": "v2"
}
] | 2023-06-21 | [
[
"Livramento",
"Leandro Roza",
""
],
[
"Radu",
"Eugen",
""
],
[
"Shnir",
"Yakov",
""
]
] | We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in the units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with increase of the gauge coupling. |
1702.03518 | Yang Zhou | Shimon Yankielowicz, Yang Zhou | Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0)
Superconformal Theories | 1+27 pages, v2: references added+typos fixed. arXiv admin note: text
overlap with arXiv:1512.03008 | JHEP 1704:128,2017 | 10.1007/JHEP04(2017)128 | TAUP-3014/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A closed formula of the universal part of supersymmetric R\'enyi entropy
$S_q$ for six-dimensional $(1,0)$ superconformal theories is proposed. Within
our arguments, $S_q$ across a spherical entangling surface is a cubic
polynomial of $\nu=1/q$, with $4$ coefficients expressed as linear combinations
of the 't Hooft anomaly coefficients for the $R$-symmetry and gravitational
anomalies. As an application, we establish linear relations between the
$c$-type Weyl anomalies and the 't Hooft anomaly coefficients. We make a
conjecture relating the supersymmetric R\'enyi entropy to an equivariant
integral of the anomaly polynomial in even dimensions and check it against
known data in four dimensions and six dimensions.
| [
{
"created": "Sun, 12 Feb 2017 12:41:20 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Feb 2017 18:33:02 GMT",
"version": "v2"
}
] | 2017-04-25 | [
[
"Yankielowicz",
"Shimon",
""
],
[
"Zhou",
"Yang",
""
]
] | A closed formula of the universal part of supersymmetric R\'enyi entropy $S_q$ for six-dimensional $(1,0)$ superconformal theories is proposed. Within our arguments, $S_q$ across a spherical entangling surface is a cubic polynomial of $\nu=1/q$, with $4$ coefficients expressed as linear combinations of the 't Hooft anomaly coefficients for the $R$-symmetry and gravitational anomalies. As an application, we establish linear relations between the $c$-type Weyl anomalies and the 't Hooft anomaly coefficients. We make a conjecture relating the supersymmetric R\'enyi entropy to an equivariant integral of the anomaly polynomial in even dimensions and check it against known data in four dimensions and six dimensions. |
hep-th/9603075 | Konstantin Selivanov | Konstantin Selivanov | On Infrared Universality in Massive Theories. Another Example | 9 pages, Latex, ps is available at
http://venus.itep.ru/preprints/1996/96016.ps.gz | Phys.Lett. B383 (1996) 93-97 | 10.1016/0370-2693(96)00703-4 | ITEP-96-16 | hep-th hep-ph | null | The infrared behaviour of the ${\phi}^3$-theory is discussed stressing
analogies with the Witten-Seiberg story about $N=2$ $QCD$. Though the
microscopic theory is apparently not integrable, the effective theory is shown
to be integrable at classical level, and a general solution of it in terms of
hypergeometric functions is obtained. An effective theory for the multiparticle
soft scattering is sketched.
| [
{
"created": "Tue, 12 Mar 1996 15:49:48 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Selivanov",
"Konstantin",
""
]
] | The infrared behaviour of the ${\phi}^3$-theory is discussed stressing analogies with the Witten-Seiberg story about $N=2$ $QCD$. Though the microscopic theory is apparently not integrable, the effective theory is shown to be integrable at classical level, and a general solution of it in terms of hypergeometric functions is obtained. An effective theory for the multiparticle soft scattering is sketched. |
hep-th/0001090 | O. B. Zaslavskii | O.B. Zaslavskii (Department of Physics, Kharkov Karazin's National
State University) | Quantum extreme black holes at finite temperature and exactly solvable
models of 2d dilaton gravity | 11 pages, REVTeX 3.0. To be published in Phys. Lett. B | Phys.Lett. B475 (2000) 33-38 | 10.1016/S0370-2693(00)00060-5 | null | hep-th gr-qc | null | It is argued that in certain 2d dilaton gravity theories there exist
self-consistent solutions of field equations with quantum terms which describe
extreme black holes at nonzero temperature. The curvature remains finite on the
horizon due to cancelation of thermal divergencies in the stress-energy tensor
against divergencies in the classical part of field equations. The extreme
black hole solutions under discussion are due to quantum effects only and do
not have classical counterparts.
| [
{
"created": "Sat, 15 Jan 2000 21:03:16 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zaslavskii",
"O. B.",
"",
"Department of Physics, Kharkov Karazin's National\n State University"
]
] | It is argued that in certain 2d dilaton gravity theories there exist self-consistent solutions of field equations with quantum terms which describe extreme black holes at nonzero temperature. The curvature remains finite on the horizon due to cancelation of thermal divergencies in the stress-energy tensor against divergencies in the classical part of field equations. The extreme black hole solutions under discussion are due to quantum effects only and do not have classical counterparts. |
2112.11675 | Arnab Kundu | Suman Das, Arnab Kundu | RG Flows and Thermofield-Double States in Holography | 45 pages, multiple figures. Minor typos fixed, improved discussions.
Published in JHEP | null | 10.1007/JHEP04(2022)167 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this article, we consider a Renormalization Group flow of the
Thermofield-Double state in a UV-complete description of Holography, by
introducing a relevant deformation to the ${\cal N}=4$ super Yang-Mills theory
at strong coupling. This RG-flow is known to have a non-trivial, interacting
${\cal N}=1$ fixed point at the IR. Geometrically, an RG-flow of the TFD-state
naturally continues radially and inside the black hole event horizon and yields
a Kasner-structure near singularity, as has been observed in recent works. We
show that for a generic value of the deformation, the putative IR fixed point
remains inside the black hole. By fine-tuning this deformation, the "fixed
point" can be brought arbitrarily close to the event horizon, while always
remaining inside. Physically, this distinguishes between the vanishing
temperature limit of the RG-flows with the one at exactly zero temperature. We
further discuss its general implications in the context of Holography. We also
discuss how correlations between the two-copies of the TFD-state depend on this
explicit RG-flow.
| [
{
"created": "Wed, 22 Dec 2021 05:51:49 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jun 2022 18:42:50 GMT",
"version": "v2"
}
] | 2022-06-07 | [
[
"Das",
"Suman",
""
],
[
"Kundu",
"Arnab",
""
]
] | In this article, we consider a Renormalization Group flow of the Thermofield-Double state in a UV-complete description of Holography, by introducing a relevant deformation to the ${\cal N}=4$ super Yang-Mills theory at strong coupling. This RG-flow is known to have a non-trivial, interacting ${\cal N}=1$ fixed point at the IR. Geometrically, an RG-flow of the TFD-state naturally continues radially and inside the black hole event horizon and yields a Kasner-structure near singularity, as has been observed in recent works. We show that for a generic value of the deformation, the putative IR fixed point remains inside the black hole. By fine-tuning this deformation, the "fixed point" can be brought arbitrarily close to the event horizon, while always remaining inside. Physically, this distinguishes between the vanishing temperature limit of the RG-flows with the one at exactly zero temperature. We further discuss its general implications in the context of Holography. We also discuss how correlations between the two-copies of the TFD-state depend on this explicit RG-flow. |
1007.5505 | Jens Hoppe | Jens Hoppe | Matrix Models and Lorentz Invariance | null | J.Phys.A44:055402,2011 | 10.1088/1751-8113/44/5/055402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The question of Lorentz invariance in the membrane matrix model is addressed
| [
{
"created": "Fri, 30 Jul 2010 18:02:52 GMT",
"version": "v1"
}
] | 2011-01-17 | [
[
"Hoppe",
"Jens",
""
]
] | The question of Lorentz invariance in the membrane matrix model is addressed |
hep-th/0702165 | Leonardo Senatore | Paolo Creminelli (ICTP, Trieste) and Leonardo Senatore (Harvard U.) | A smooth bouncing cosmology with scale invariant spectrum | 20 pages, 1 fig. v2: references added, JCAP published version | JCAP 0711:010,2007 | 10.1088/1475-7516/2007/11/010 | IC/2007/001, HUTP-07/A0002 | hep-th astro-ph gr-qc hep-ph | null | We present a bouncing cosmology which evolves from the contracting to the
expanding phase in a smooth way, without developing instabilities or
pathologies and remaining in the regime of validity of 4d effective field
theory. A nearly scale invariant spectrum of perturbations is generated during
the contracting phase by an isocurvature scalar with a negative exponential
potential and then converted to adiabatic. The model predicts a slightly blue
spectrum, n_S >~ 1, no observable gravitational waves and a high (but model
dependent) level of non-Gaussianities with local shape. The model represents an
explicit and predictive alternative to inflation, although, at present, it is
clearly less compelling.
| [
{
"created": "Tue, 20 Feb 2007 18:15:21 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2007 14:30:47 GMT",
"version": "v2"
}
] | 2011-09-29 | [
[
"Creminelli",
"Paolo",
"",
"ICTP, Trieste"
],
[
"Senatore",
"Leonardo",
"",
"Harvard U."
]
] | We present a bouncing cosmology which evolves from the contracting to the expanding phase in a smooth way, without developing instabilities or pathologies and remaining in the regime of validity of 4d effective field theory. A nearly scale invariant spectrum of perturbations is generated during the contracting phase by an isocurvature scalar with a negative exponential potential and then converted to adiabatic. The model predicts a slightly blue spectrum, n_S >~ 1, no observable gravitational waves and a high (but model dependent) level of non-Gaussianities with local shape. The model represents an explicit and predictive alternative to inflation, although, at present, it is clearly less compelling. |
1810.10483 | Matteo Beccaria | Matteo Beccaria | Double scaling limit of N=2 chiral correlators with Maldacena-Wilson
loop | 21 pages | null | 10.1007/JHEP02(2019)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $\mathcal N=2$ conformal QCD in four dimensions and the one-point
correlator of a class of chiral primaries with the circular $\frac{1}{2}$-BPS
Maldacena-Wilson loop. We analyze a recently introduced double scaling limit
where the gauge coupling is weak while the R-charge of the chiral primary
$\Phi$ is large. In particular, we consider the case
$\Phi=(\text{tr}\varphi^{2})^{n}$ , where $\varphi$ is the complex scalar in
the vector multiplet. The correlator defines a non-trivial scaling function at
fixed $\kappa = n\,g_{\rm YM}^{2}$ and large $n$ that may be studied by
localization. For any gauge group $SU(N)$ we provide the analytic expression of
the first correction $\sim \zeta(3)\,\kappa^{2}$ and prove its universality. In
the $SU(2)$ and $SU(3)$ theories we compute the scaling functions at order
$\mathcal O(\kappa^{6})$. Remarkably, in the $SU(2)$ case the scaling function
is equal to an analogous quantity describing the chiral 2-point functions
$\langle\Phi\overline\Phi\rangle$ in the same large R-charge limit. We
conjecture that this $SU(2)$ scaling function is computed at all-orders by a
$\mathcal N=4$ SYM expectation value of a matrix model object characterizing
the one-loop contribution to the 4-sphere partition function. The conjecture
provides an explicit series expansion for the scaling function and is checked
at order $\mathcal O(\kappa^{10})$ by showing agreement with the available data
in the sector of chiral 2-point functions.
| [
{
"created": "Wed, 24 Oct 2018 16:41:05 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Beccaria",
"Matteo",
""
]
] | We consider $\mathcal N=2$ conformal QCD in four dimensions and the one-point correlator of a class of chiral primaries with the circular $\frac{1}{2}$-BPS Maldacena-Wilson loop. We analyze a recently introduced double scaling limit where the gauge coupling is weak while the R-charge of the chiral primary $\Phi$ is large. In particular, we consider the case $\Phi=(\text{tr}\varphi^{2})^{n}$ , where $\varphi$ is the complex scalar in the vector multiplet. The correlator defines a non-trivial scaling function at fixed $\kappa = n\,g_{\rm YM}^{2}$ and large $n$ that may be studied by localization. For any gauge group $SU(N)$ we provide the analytic expression of the first correction $\sim \zeta(3)\,\kappa^{2}$ and prove its universality. In the $SU(2)$ and $SU(3)$ theories we compute the scaling functions at order $\mathcal O(\kappa^{6})$. Remarkably, in the $SU(2)$ case the scaling function is equal to an analogous quantity describing the chiral 2-point functions $\langle\Phi\overline\Phi\rangle$ in the same large R-charge limit. We conjecture that this $SU(2)$ scaling function is computed at all-orders by a $\mathcal N=4$ SYM expectation value of a matrix model object characterizing the one-loop contribution to the 4-sphere partition function. The conjecture provides an explicit series expansion for the scaling function and is checked at order $\mathcal O(\kappa^{10})$ by showing agreement with the available data in the sector of chiral 2-point functions. |
1404.5283 | Sunyoung Shin | Ariunzul Dagvadorj, Sunyoung Shin | $\beta$-deformation on a slanted torus and deformed pp-wave | 9 pages, Final version, incorporating the referee comments | Phys. Rev. D 90, 027704 (2014) | 10.1103/PhysRevD.90.027704 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the $\beta$-deformation of $AdS_5\times S^5$ which incorporates
the $SL(2,\mathbb{R})$ symmetry of the type IIB theory. The axion-dilaton is
identified with a two-torus from an eleven dimensional viewpoint. We consider
the null geodesic with equal component angular momenta to take the Penrose
limit of the deformed $AdS_5\times S^5$. We study the bosonic part of the
string sigma model and the spectrum of the string in the pp-wave background.
| [
{
"created": "Mon, 21 Apr 2014 19:43:05 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 17:03:50 GMT",
"version": "v2"
}
] | 2014-07-23 | [
[
"Dagvadorj",
"Ariunzul",
""
],
[
"Shin",
"Sunyoung",
""
]
] | We discuss the $\beta$-deformation of $AdS_5\times S^5$ which incorporates the $SL(2,\mathbb{R})$ symmetry of the type IIB theory. The axion-dilaton is identified with a two-torus from an eleven dimensional viewpoint. We consider the null geodesic with equal component angular momenta to take the Penrose limit of the deformed $AdS_5\times S^5$. We study the bosonic part of the string sigma model and the spectrum of the string in the pp-wave background. |
hep-th/0306088 | Gianguido Dall'Agata | G. L. Cardoso, G. Curio, G. Dall'Agata and D. Lust | BPS Action and Superpotential for Heterotic String Compactifications
with Fluxes | LaTeX, 28 pages. Minor changes, one more reference added. Final
version to appear on JHEP | JHEP 0310:004,2003 | null | HU-EP-03/28 | hep-th | null | We consider N =1 compactifications to four dimensions of heterotic string
theory in the presence of fluxes. We show that up to order O(\alpha'^2) the
associated action can be written as a sum of squares of BPS-like quantities. In
this way we prove that the equations of motion are solved by backgrounds which
fulfill the supersymmetry conditions and the Bianchi identities. We also argue
for the expression of the related superpotential and discuss the radial modulus
stabilization for a class of examples.
| [
{
"created": "Tue, 10 Jun 2003 16:25:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2003 13:02:10 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jun 2003 13:55:53 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Oct 2003 18:27:36 GMT",
"version": "v4"
}
] | 2009-10-07 | [
[
"Cardoso",
"G. L.",
""
],
[
"Curio",
"G.",
""
],
[
"Dall'Agata",
"G.",
""
],
[
"Lust",
"D.",
""
]
] | We consider N =1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O(\alpha'^2) the associated action can be written as a sum of squares of BPS-like quantities. In this way we prove that the equations of motion are solved by backgrounds which fulfill the supersymmetry conditions and the Bianchi identities. We also argue for the expression of the related superpotential and discuss the radial modulus stabilization for a class of examples. |
hep-th/0204090 | TC Dunning | Clare Dunning | Massless flows between minimal W models | 11 pages, 2 figures, V2: typos corrected and paragraph added to
section 6 | Phys.Lett. B537 (2002) 297-305 | 10.1016/S0370-2693(02)01938-X | null | hep-th | null | We study the renormalisation group flows between minimal W models by means of
a new set of nonlinear integral equations which provide access to the effective
central charge of both unitary and nonunitary models. We show that the scaling
function associated to the nonunitary models is a nonmonotonic function of the
system size.
| [
{
"created": "Wed, 10 Apr 2002 17:43:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 May 2002 14:51:49 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Dunning",
"Clare",
""
]
] | We study the renormalisation group flows between minimal W models by means of a new set of nonlinear integral equations which provide access to the effective central charge of both unitary and nonunitary models. We show that the scaling function associated to the nonunitary models is a nonmonotonic function of the system size. |
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