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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1711.05530
|
Ferdinando Gliozzi
|
Ferdinando Gliozzi
|
Anomalous dimensions of spinning operators from conformal symmetry
|
20 pages.v2: an important remark and references added, more examples
included
| null |
10.1007/JHEP01(2018)113
| null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute, to the first non-trivial order in the $\epsilon$-expansion of a
perturbed scalar field theory, the anomalous dimensions of an infinite class of
primary operators with arbitrary spin $\ell=0,1,..$, including as a particular
case the weakly broken higher-spin currents, using only constraints from
conformal symmetry. Following the bootstrap philosophy, no reference is made to
any Lagrangian, equations of motion or coupling constants. Even the space
dimensions d are left free. The interaction is implicitly turned on through the
local operators by letting them acquire anomalous dimensions. When matching
certain four-point and five-point functions with the corresponding quantities
of the free field theory in the $\epsilon\to 0$ limit, no free parameter
remains. It turns out that only the expected discrete d values are permitted
and the ensuing anomalous dimensions reproduce known results for the weakly
broken higher-spin currents and provide new results for the other spinning
operators.
|
[
{
"created": "Wed, 15 Nov 2017 12:36:50 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2017 16:31:09 GMT",
"version": "v2"
}
] |
2018-03-14
|
[
[
"Gliozzi",
"Ferdinando",
""
]
] |
We compute, to the first non-trivial order in the $\epsilon$-expansion of a perturbed scalar field theory, the anomalous dimensions of an infinite class of primary operators with arbitrary spin $\ell=0,1,..$, including as a particular case the weakly broken higher-spin currents, using only constraints from conformal symmetry. Following the bootstrap philosophy, no reference is made to any Lagrangian, equations of motion or coupling constants. Even the space dimensions d are left free. The interaction is implicitly turned on through the local operators by letting them acquire anomalous dimensions. When matching certain four-point and five-point functions with the corresponding quantities of the free field theory in the $\epsilon\to 0$ limit, no free parameter remains. It turns out that only the expected discrete d values are permitted and the ensuing anomalous dimensions reproduce known results for the weakly broken higher-spin currents and provide new results for the other spinning operators.
|
hep-th/9609178
| null |
Giampiero Esposito, Alexander Yu. Kamenshchik and Gennaro Miele
|
Unified Gauge Models and One-Loop Quantum Cosmology
|
10 pages, Latex
|
Phys.Rev. D56 (1997) 1328-1331
|
10.1103/PhysRevD.56.1328
|
DSF preprint 96/41
|
hep-th
| null |
This paper studies the normalizability criterion for the one-loop wave
function of the universe in a de Sitter background, when various unified gauge
models are considered. It turns out that, in the absence of interaction between
inflaton field and other matter fields, the supersymmetric version of such
unified models is preferred. By contrast, the interaction of inflaton and
matter fields, jointly with the request of normalizability at one-loop order,
picks out non-supersymmetric versions of unified gauge models.
|
[
{
"created": "Mon, 23 Sep 1996 12:53:02 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Miele",
"Gennaro",
""
]
] |
This paper studies the normalizability criterion for the one-loop wave function of the universe in a de Sitter background, when various unified gauge models are considered. It turns out that, in the absence of interaction between inflaton field and other matter fields, the supersymmetric version of such unified models is preferred. By contrast, the interaction of inflaton and matter fields, jointly with the request of normalizability at one-loop order, picks out non-supersymmetric versions of unified gauge models.
|
0801.0235
|
Orlando Alvarez
|
Orlando Alvarez, Blazej Ruszczycki
|
Target Space Duality III: Potentials
|
10 pages
| null | null | null |
hep-th
| null |
We generalize previous results on target space duality to the case where
there are background fields and the sigma model lagrangian has a potential
function.
|
[
{
"created": "Mon, 31 Dec 2007 19:36:36 GMT",
"version": "v1"
}
] |
2008-01-03
|
[
[
"Alvarez",
"Orlando",
""
],
[
"Ruszczycki",
"Blazej",
""
]
] |
We generalize previous results on target space duality to the case where there are background fields and the sigma model lagrangian has a potential function.
|
1109.4264
|
Niclas Wyllard
|
Niclas Wyllard
|
Coset conformal blocks and N=2 gauge theories
|
24 pages
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently suggested that the su(N)_k+su(N)_p/su(N)_{k+p} coset
conformal field theories should be related to N=2 SU(N) gauge theories on
R^4/Z_p. In this paper we study various aspects of this proposal. We perform
explicit checks of the relation for (N,p)=(2,4), where the symmetry algebra of
the coset is the so called S_3 parafermion algebra. Even though the symmetry
algebra of the coset is unknown for generic (N,p) models, we manage to perform
non-trivial checks in the general case by using knowledge of the Kac
determinant of the coset CFT. We also find evidence that the conformal blocks
of the (N,p) model should factorise into a certain product of p (N,1) conformal
blocks. Precisely this structure is present in the instanton partition function
on R^4/Z_p.
|
[
{
"created": "Tue, 20 Sep 2011 11:05:50 GMT",
"version": "v1"
}
] |
2011-09-21
|
[
[
"Wyllard",
"Niclas",
""
]
] |
It was recently suggested that the su(N)_k+su(N)_p/su(N)_{k+p} coset conformal field theories should be related to N=2 SU(N) gauge theories on R^4/Z_p. In this paper we study various aspects of this proposal. We perform explicit checks of the relation for (N,p)=(2,4), where the symmetry algebra of the coset is the so called S_3 parafermion algebra. Even though the symmetry algebra of the coset is unknown for generic (N,p) models, we manage to perform non-trivial checks in the general case by using knowledge of the Kac determinant of the coset CFT. We also find evidence that the conformal blocks of the (N,p) model should factorise into a certain product of p (N,1) conformal blocks. Precisely this structure is present in the instanton partition function on R^4/Z_p.
|
1307.5858
|
Thomas Grimm
|
Federico Bonetti, Thomas W. Grimm, Tom G. Pugh
|
Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
|
39 pages, 4 figures, v2: improvements and clarifications on the 4d
interpretation and weak coupling limit; typos corrected
| null |
10.1007/JHEP01(2014)112
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a novel approach to obtain non-supersymmetric four-dimensional
effective actions by considering F-theory on manifolds with special holonomy
Spin(7). To perform such studies we suggest that a duality relating M-theory on
a certain class of Spin(7) manifolds with F-theory on the same manifolds times
an interval exists. The Spin(7) geometries under consideration are constructed
as quotients of elliptically fibered Calabi-Yau fourfolds by an
anti-holomorphic and isometric involution. The three-dimensional minimally
supersymmetric effective action of M-theory on a general Spin(7) manifold with
fluxes is determined and specialized to the aforementioned geometries. This
effective theory is compared with an interval Kaluza-Klein reduction of a
non-supersymmetric four-dimensional theory with definite boundary conditions
for all fields. Using this strategy a minimal set of couplings of the
four-dimensional low-energy effective actions is obtained in terms of the
Spin(7) geometric data. We also discuss briefly the string interpretation in
the Type IIB weak coupling limit.
|
[
{
"created": "Mon, 22 Jul 2013 20:00:18 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2013 16:38:51 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Bonetti",
"Federico",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"Pugh",
"Tom G.",
""
]
] |
We propose a novel approach to obtain non-supersymmetric four-dimensional effective actions by considering F-theory on manifolds with special holonomy Spin(7). To perform such studies we suggest that a duality relating M-theory on a certain class of Spin(7) manifolds with F-theory on the same manifolds times an interval exists. The Spin(7) geometries under consideration are constructed as quotients of elliptically fibered Calabi-Yau fourfolds by an anti-holomorphic and isometric involution. The three-dimensional minimally supersymmetric effective action of M-theory on a general Spin(7) manifold with fluxes is determined and specialized to the aforementioned geometries. This effective theory is compared with an interval Kaluza-Klein reduction of a non-supersymmetric four-dimensional theory with definite boundary conditions for all fields. Using this strategy a minimal set of couplings of the four-dimensional low-energy effective actions is obtained in terms of the Spin(7) geometric data. We also discuss briefly the string interpretation in the Type IIB weak coupling limit.
|
1209.4421
|
Eran Palti
|
Eran Palti
|
A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs
|
4 pages; v2: Corrected statement in final section on the
compatibility of an exotic spectrum with anomalies
| null |
10.1103/PhysRevD.87.085036
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the consequences of cancellation of cubic Abelian anomalies in
F-theory GUT models that utilise hypercharge flux in the presence of additional
U(1) symmetries. We show that a mixed anomaly between the hypercharge and two
U(1) gauge fields is not automatically canceled in local models based on the
spectral cover and therefore imposes additional constraints on local models in
F-theory that have not been accounted for so far. The constraints imply that
there are only two possible classes of models in F-theory GUTs which have
fields on matter curves in non-complete GUT representations that are not
vector-like under all U(1)s: the ones based on a 3+2 and 2+2+1 split. We
comment on some phenomenological implications of these results for realising
NMSSM-like models from F-theory GUTs.
|
[
{
"created": "Thu, 20 Sep 2012 04:25:48 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jan 2016 15:25:47 GMT",
"version": "v2"
}
] |
2016-01-06
|
[
[
"Palti",
"Eran",
""
]
] |
We study the consequences of cancellation of cubic Abelian anomalies in F-theory GUT models that utilise hypercharge flux in the presence of additional U(1) symmetries. We show that a mixed anomaly between the hypercharge and two U(1) gauge fields is not automatically canceled in local models based on the spectral cover and therefore imposes additional constraints on local models in F-theory that have not been accounted for so far. The constraints imply that there are only two possible classes of models in F-theory GUTs which have fields on matter curves in non-complete GUT representations that are not vector-like under all U(1)s: the ones based on a 3+2 and 2+2+1 split. We comment on some phenomenological implications of these results for realising NMSSM-like models from F-theory GUTs.
|
1908.04301
|
Yang Zhang
|
Dominik Bendle, Janko Boehm, Wolfram Decker, Alessandro Georgoudis,
Franz-Josef Pfreundt, Mirko Rahn, Pascal Wasser, Yang Zhang
|
Integration-by-parts reductions of Feynman integrals using Singular and
GPI-Space
|
minor corrections; We encourage researchers in high energy community
to send us IBP reduction problems (mailto:
alessandro.georgoudis@physics.uu.se)
| null |
10.1007/JHEP02(2020)079
|
MITP/19-055,MPP-2019-164,UUITP-30/19,USTC-ICTS-19-20
|
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce an algebro-geometrically motived integration-by-parts (IBP)
reduction method for multi-loop and multi-scale Feynman integrals, using a
framework for massively parallel computations in computer algebra. This
framework combines the computer algebra system Singular with the workflow
management system GPI-Space, which is being developed at the Fraunhofer
Institute for Industrial Mathematics (ITWM). In our approach, the IBP relations
are first trimmed by modern algebraic geometry tools and then solved by sparse
linear algebra and our new interpolation methods. These steps are efficiently
automatized and automatically parallelized by modeling the algorithm in
GPI-Space using the language of Petri-nets. We demonstrate the potential of our
method at the nontrivial example of reducing two-loop five-point nonplanar
double-pentagon integrals. We also use GPI-Space to convert the basis of IBP
reductions, and discuss the possible simplification of IBP coefficients in a
uniformly transcendental basis.
|
[
{
"created": "Mon, 12 Aug 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2019 17:01:27 GMT",
"version": "v2"
}
] |
2020-03-18
|
[
[
"Bendle",
"Dominik",
""
],
[
"Boehm",
"Janko",
""
],
[
"Decker",
"Wolfram",
""
],
[
"Georgoudis",
"Alessandro",
""
],
[
"Pfreundt",
"Franz-Josef",
""
],
[
"Rahn",
"Mirko",
""
],
[
"Wasser",
"Pascal",
""
],
[
"Zhang",
"Yang",
""
]
] |
We introduce an algebro-geometrically motived integration-by-parts (IBP) reduction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel computations in computer algebra. This framework combines the computer algebra system Singular with the workflow management system GPI-Space, which is being developed at the Fraunhofer Institute for Industrial Mathematics (ITWM). In our approach, the IBP relations are first trimmed by modern algebraic geometry tools and then solved by sparse linear algebra and our new interpolation methods. These steps are efficiently automatized and automatically parallelized by modeling the algorithm in GPI-Space using the language of Petri-nets. We demonstrate the potential of our method at the nontrivial example of reducing two-loop five-point nonplanar double-pentagon integrals. We also use GPI-Space to convert the basis of IBP reductions, and discuss the possible simplification of IBP coefficients in a uniformly transcendental basis.
|
hep-th/0607220
|
Michael Gutperle
|
Michael Gutperle and Darya Krym
|
Decays of near BPS heterotic strings
|
28 pages, harvmac, 3 figures
|
Phys.Rev.D74:086007,2006
|
10.1103/PhysRevD.74.086007
|
UCLA/06/TEP/20
|
hep-th
| null |
The decay of highly excited massive string states in compactified heterotic
string theories is discussed. We calculate the decay rate and spectrum of
states carrying momentum and winding in the compactified direction. The longest
lived states in the spectrum are near BPS states whose decay is dominated by a
single decay channel of massless radiation which brings the state closer to
being BPS.
|
[
{
"created": "Wed, 26 Jul 2006 22:25:00 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gutperle",
"Michael",
""
],
[
"Krym",
"Darya",
""
]
] |
The decay of highly excited massive string states in compactified heterotic string theories is discussed. We calculate the decay rate and spectrum of states carrying momentum and winding in the compactified direction. The longest lived states in the spectrum are near BPS states whose decay is dominated by a single decay channel of massless radiation which brings the state closer to being BPS.
|
2002.03368
|
Bei Sha
|
Bei Sha, Zhi-E Liu, Yu-Zhen Liu, Xia Tan, Jie Zhang and Shu-Zheng Yang
|
Accurate correction of arbitrary spin fermions quantum tunneling from
non-stationary Kerr-de Sitter black hole based on corrected Lorentz
dispersion relation
|
8 pages
| null |
10.1088/1674-1137/abb4d6
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to a corrected dispersion relation proposed in the study on string
theory and quantum gravity theory, Rarita-Schwinger equation has been precisely
modified, which results in a Rarita-Schwinger-Hamilton-Jacobi equation, and
through which, the characteristics of arbitrary spin fermions quantum tunneling
radiation from non-stationary Kerr-de Sitter black hole are researched. A
series of accurately corrected physical quantities such as surface gravity,
chemical potential, tunneling probability and Hawking temperature that describe
the properties of the black hole are derived. This research has enriched the
research methods and made precision of the research contents of black hole
physics.
|
[
{
"created": "Sun, 9 Feb 2020 14:16:28 GMT",
"version": "v1"
}
] |
2020-12-30
|
[
[
"Sha",
"Bei",
""
],
[
"Liu",
"Zhi-E",
""
],
[
"Liu",
"Yu-Zhen",
""
],
[
"Tan",
"Xia",
""
],
[
"Zhang",
"Jie",
""
],
[
"Yang",
"Shu-Zheng",
""
]
] |
According to a corrected dispersion relation proposed in the study on string theory and quantum gravity theory, Rarita-Schwinger equation has been precisely modified, which results in a Rarita-Schwinger-Hamilton-Jacobi equation, and through which, the characteristics of arbitrary spin fermions quantum tunneling radiation from non-stationary Kerr-de Sitter black hole are researched. A series of accurately corrected physical quantities such as surface gravity, chemical potential, tunneling probability and Hawking temperature that describe the properties of the black hole are derived. This research has enriched the research methods and made precision of the research contents of black hole physics.
|
1812.10886
|
Atsushi Naruko
|
Atsushi Naruko, Rampei Kimura and Daisuke Yamauchi
|
On Lorentz-invariant spin-2 theories
|
20 pages
|
Phys. Rev. D 99, 084018 (2019)
|
10.1103/PhysRevD.99.084018
|
TU1079, WUAP/1810/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct Lorentz-invariant massless/massive spin-2 theories in flat
spacetime. Starting from the most generic action of a rank-2 symmetric tensor
field whose Lagrangian contains up to quadratic in first derivatives of a
field, we investigate the possibility of new theories by using the Hamiltonian
analysis. By imposing the degeneracy of the kinetic matrix and the existence of
subsequent constraints, we classify theories based on the number of degrees of
freedom and constraint structures and obtain a wider class of Fierz-Pauli
theory as well as massless and partially massless theories, whose scalar and/or
vector degrees of freedom are absent. We also discuss the relation between our
theories and known massless and massive spin-2 theories.
|
[
{
"created": "Fri, 28 Dec 2018 04:09:43 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2019 02:03:53 GMT",
"version": "v2"
}
] |
2019-04-24
|
[
[
"Naruko",
"Atsushi",
""
],
[
"Kimura",
"Rampei",
""
],
[
"Yamauchi",
"Daisuke",
""
]
] |
We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we investigate the possibility of new theories by using the Hamiltonian analysis. By imposing the degeneracy of the kinetic matrix and the existence of subsequent constraints, we classify theories based on the number of degrees of freedom and constraint structures and obtain a wider class of Fierz-Pauli theory as well as massless and partially massless theories, whose scalar and/or vector degrees of freedom are absent. We also discuss the relation between our theories and known massless and massive spin-2 theories.
|
hep-th/9611082
| null |
Brandon Carter, David Langlois (Observatoire de Paris-Meudon)
|
Kalb-Ramond coupled vortex fibration model for relativistic superfluid
dynamics
|
23 pages, Latex, no figure
|
Nucl.Phys. B454 (1995) 402-424
|
10.1016/0550-3213(95)00425-R
|
Observatoire de Paris, 95034
|
hep-th astro-ph gr-qc
| null |
The macroscopic dynamics of a rotating superfluid deviates from that of a
simple perfect fluid due to the effect of vorticity quantisation, which gives
rise to a substructure of cosmic string type line defects that results in a
local anisotropy whereby the effective average pressure in the direction of the
vortex lines is reduced below its value in lateral directions. Whereas previous
descriptions of this effect have been restricted to a non-relativistic
framework that is adequate for the treatment of liquid helium in a laboratory
context, the present work provides a fully relativistic description of the kind
required for application to rotating neutron star models. To start with, the
general category of vortex fibration models needed for this purpose is set up
on the basis of a Kalb-Ramond type variational principle. The appropriate
specification of the particular model to be chosen within this category will
ultimately be governed by the conclusions of microscopic investigations that
have not yet been completed, but the results available so far suggest that a
uniquely simple kind of model with an elegant dilatonic formulation should be
tentatively adopted as a provisional choice so long as there is no indication
that a more complicated alternative is needed.
|
[
{
"created": "Tue, 12 Nov 1996 10:35:36 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Carter",
"Brandon",
"",
"Observatoire de Paris-Meudon"
],
[
"Langlois",
"David",
"",
"Observatoire de Paris-Meudon"
]
] |
The macroscopic dynamics of a rotating superfluid deviates from that of a simple perfect fluid due to the effect of vorticity quantisation, which gives rise to a substructure of cosmic string type line defects that results in a local anisotropy whereby the effective average pressure in the direction of the vortex lines is reduced below its value in lateral directions. Whereas previous descriptions of this effect have been restricted to a non-relativistic framework that is adequate for the treatment of liquid helium in a laboratory context, the present work provides a fully relativistic description of the kind required for application to rotating neutron star models. To start with, the general category of vortex fibration models needed for this purpose is set up on the basis of a Kalb-Ramond type variational principle. The appropriate specification of the particular model to be chosen within this category will ultimately be governed by the conclusions of microscopic investigations that have not yet been completed, but the results available so far suggest that a uniquely simple kind of model with an elegant dilatonic formulation should be tentatively adopted as a provisional choice so long as there is no indication that a more complicated alternative is needed.
|
hep-th/0503161
|
Tim Morris
|
Tim R. Morris
|
Equivalence of Local Potential Approximations
|
7 pages (improved statement of "central issue", 2 refs added)
|
JHEP 0507 (2005) 027
|
10.1088/1126-6708/2005/07/027
|
SHEP 0509
|
hep-th cond-mat.stat-mech hep-ph
| null |
In recent papers it has been noted that the local potential approximation of
the Legendre and Wilson-Polchinski flow equations give, within numerical error,
identical results for a range of exponents and Wilson-Fisher fixed points in
three dimensions, providing a certain ``optimised'' cutoff is used for the
Legendre flow equation. Here we point out that this is a consequence of an
exact map between the two equations, which is nothing other than the exact
reduction of the functional map that exists between the two exact
renormalization groups. We note also that the optimised cutoff does not allow a
derivative expansion beyond second order.
|
[
{
"created": "Mon, 21 Mar 2005 21:53:24 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2005 15:30:19 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Apr 2005 11:16:55 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Morris",
"Tim R.",
""
]
] |
In recent papers it has been noted that the local potential approximation of the Legendre and Wilson-Polchinski flow equations give, within numerical error, identical results for a range of exponents and Wilson-Fisher fixed points in three dimensions, providing a certain ``optimised'' cutoff is used for the Legendre flow equation. Here we point out that this is a consequence of an exact map between the two equations, which is nothing other than the exact reduction of the functional map that exists between the two exact renormalization groups. We note also that the optimised cutoff does not allow a derivative expansion beyond second order.
|
hep-th/9610031
|
Yoon Soo Myung
|
H.W. Lee, Y.S. Myung(Inje U.), Jin Young Kim(Dongseo U.), D. K.
Park(Kyungnam U.)
|
Higher dimensional extremal black strings
|
18 pages no figure, RevTeX
| null | null |
INJE-TP-96-5
|
hep-th
| null |
We investigate the five and six-dimensional black strings within
Einstein-Maxwell theory. The extremal black strings are endowed with the null
Killing symmetry. We study the propagation of Einstein-Maxwell modes in the
extremal black string background by using this symmetry. It turns out that one
graviton is a propagating mode, while both the Maxwell $F$ and three-form $H$
fields are non-propagating modes. Further we discuss the stability and
classical hair of the extremal black strings.
|
[
{
"created": "Mon, 7 Oct 1996 05:24:30 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Lee",
"H. W.",
"",
"Inje U."
],
[
"Myung",
"Y. S.",
"",
"Inje U."
],
[
"Kim",
"Jin Young",
"",
"Dongseo U."
],
[
"Park",
"D. K.",
"",
"Kyungnam U."
]
] |
We investigate the five and six-dimensional black strings within Einstein-Maxwell theory. The extremal black strings are endowed with the null Killing symmetry. We study the propagation of Einstein-Maxwell modes in the extremal black string background by using this symmetry. It turns out that one graviton is a propagating mode, while both the Maxwell $F$ and three-form $H$ fields are non-propagating modes. Further we discuss the stability and classical hair of the extremal black strings.
|
hep-th/9910106
|
Anindya K. Biswas
|
A. K. Biswas, J. Maharana
|
The Holography Hypothesis in Pre-Big-Bang Cosmology with String Sources
|
33 pages, latex, five figures
|
JHEP 0001:020,2000
|
10.1088/1126-6708/2000/01/020
|
IP/BBSR/99-29
|
hep-th
| null |
The holographic ratio in Pre-big bang string cosmology is obtained in the
presence string sources. An iterative procedure is adopted to solve the
equations of motion and derive the ratio in four dimensional world. First the
zeroth order ratio is computed in the remote past, i.e. at $t=-\infty$, then
the holographic ratio is obtained taking into account the evolution of the
backgrounds following the iterative procedure. The corrections to the zeroth
order value of the ratio depends on the form of the initial number distribution
of the strings chosen. Moreover, we estimate the holographic ratio in the
recent past (i.e. when $\gamma=-\frac{1}{d}$) and in the remote past (i.e. when
$\gamma= 0$), $\gamma\equiv\frac{p}{\varrho}$, in different dimensions in the
Einstein frame and in the string frame. We find that in the first case it has
similar time dependences in both the frames, especially in four dimensions the
ratio is explicitly computed to be the same in the two cases, whereas for
$\gamma=0$ case the time dependence is different.
|
[
{
"created": "Thu, 14 Oct 1999 11:16:29 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Biswas",
"A. K.",
""
],
[
"Maharana",
"J.",
""
]
] |
The holographic ratio in Pre-big bang string cosmology is obtained in the presence string sources. An iterative procedure is adopted to solve the equations of motion and derive the ratio in four dimensional world. First the zeroth order ratio is computed in the remote past, i.e. at $t=-\infty$, then the holographic ratio is obtained taking into account the evolution of the backgrounds following the iterative procedure. The corrections to the zeroth order value of the ratio depends on the form of the initial number distribution of the strings chosen. Moreover, we estimate the holographic ratio in the recent past (i.e. when $\gamma=-\frac{1}{d}$) and in the remote past (i.e. when $\gamma= 0$), $\gamma\equiv\frac{p}{\varrho}$, in different dimensions in the Einstein frame and in the string frame. We find that in the first case it has similar time dependences in both the frames, especially in four dimensions the ratio is explicitly computed to be the same in the two cases, whereas for $\gamma=0$ case the time dependence is different.
|
hep-th/9602122
|
Roman Jackiw
|
Roman Jackiw
|
The Unreasonable Effectiveness of Quantum Field Theory
|
18 pages, 1 figure, RevTex
| null | null |
MIT-CTP-2500
|
hep-th quant-ph
| null |
Quantum field theory offers physicists a tremendously wide range of
application; it is both a language with which a vast variety of physical
processes can be discussed and also it provides a model for fundamental
physics, the so-called ``standard-model,'' which thus far has passed every
experimental test. No other framework exists in which one can calculate so many
phenomena with such ease and accuracy. Nevertheless, today some physicists have
doubts about quantum field theory, and here I want to examine these
reservations.
|
[
{
"created": "Thu, 22 Feb 1996 14:51:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jackiw",
"Roman",
""
]
] |
Quantum field theory offers physicists a tremendously wide range of application; it is both a language with which a vast variety of physical processes can be discussed and also it provides a model for fundamental physics, the so-called ``standard-model,'' which thus far has passed every experimental test. No other framework exists in which one can calculate so many phenomena with such ease and accuracy. Nevertheless, today some physicists have doubts about quantum field theory, and here I want to examine these reservations.
|
1704.01141
|
Gianluca Calcagni
|
Michele Arzano, Gianluca Calcagni
|
Finite entanglement entropy and spectral dimension in quantum gravity
|
15 pages, 2 figures. v2: references added, cosmetic changes, figure
improved; v3: extension of the theorem to positive values of the spectral
dimension, new discussion on an analytic continuation of the definition of
entanglement entropy, new figure added; v4: minor typos corrected, matches
published version
|
Eur. Phys. J. C 77, 835 (2017)
|
10.1140/epjc/s10052-017-5393-5
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
What are the conditions on a field theoretic model leading to a finite
entanglement entropy density? We prove two very general results: 1) Ultraviolet
finiteness of a theory does not guarantee finiteness of the entropy density; 2)
If the spectral dimension of the spatial boundary across which the entropy is
calculated is non-negative at all scales, then the entanglement entropy cannot
be finite. These conclusions, which we verify in several examples, negatively
affect all quantum-gravity models, since their spectral dimension is always
positive. Possible ways out are considered, including abandoning the definition
of the entanglement entropy in terms of the boundary return probability or
admitting an analytic continuation (not a regularization) of the usual
definition. In the second case, one can get a finite entanglement entropy
density in multi-fractional theories and causal dynamical triangulations.
|
[
{
"created": "Tue, 4 Apr 2017 18:20:56 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Apr 2017 14:38:50 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jul 2017 16:09:06 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Dec 2017 10:52:27 GMT",
"version": "v4"
}
] |
2017-12-13
|
[
[
"Arzano",
"Michele",
""
],
[
"Calcagni",
"Gianluca",
""
]
] |
What are the conditions on a field theoretic model leading to a finite entanglement entropy density? We prove two very general results: 1) Ultraviolet finiteness of a theory does not guarantee finiteness of the entropy density; 2) If the spectral dimension of the spatial boundary across which the entropy is calculated is non-negative at all scales, then the entanglement entropy cannot be finite. These conclusions, which we verify in several examples, negatively affect all quantum-gravity models, since their spectral dimension is always positive. Possible ways out are considered, including abandoning the definition of the entanglement entropy in terms of the boundary return probability or admitting an analytic continuation (not a regularization) of the usual definition. In the second case, one can get a finite entanglement entropy density in multi-fractional theories and causal dynamical triangulations.
|
1810.04417
|
Paul Mansfield
|
Chris Curry and Paul Mansfield
|
Mandelstam formulae for generalised Wilson loops
|
9 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive Mandelstam formulae for two generalisations of the Wilson loop. In
these generalisations path-ordering of Lie algebra generators is replaced by an
anti-commuting one dimensional field theory along the loop. We extend the
calculation to the N=1 super-Wilson loop by introducing a superpartner for the
additional field.
|
[
{
"created": "Wed, 10 Oct 2018 08:42:03 GMT",
"version": "v1"
}
] |
2018-10-11
|
[
[
"Curry",
"Chris",
""
],
[
"Mansfield",
"Paul",
""
]
] |
We derive Mandelstam formulae for two generalisations of the Wilson loop. In these generalisations path-ordering of Lie algebra generators is replaced by an anti-commuting one dimensional field theory along the loop. We extend the calculation to the N=1 super-Wilson loop by introducing a superpartner for the additional field.
|
2206.10339
|
Dong-Hui Du
|
Dong-Hui Du, Wen-Cong Gan, Fu-Wen Shu and Jia-Rui Sun
|
Unitary Constraints on Semiclassical Schwarzschild Black Holes in the
Presence of Island
|
21 pages, 4 figures; improvements to the expression; Footnote 2 added
to show a new analytical island solution for $n\rightarrow\infty$ while
$\alpha\sim \beta/n$; accepted for publication in PRD
|
Phys. Rev. D 107, 026005 (2023)
|
10.1103/PhysRevD.107.026005
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We reconsider $D\geq4$ dimensional asymptotically flat eternal Schwarzschild
black hole, and focus on the situation where the inner boundary of the
radiation region is chosen to be near the horizon (i.e. $\beta \ll1$). The
tension between the near-horizon condition and the short-distance approximation
emerges in large dimensions in $[JHEP 06 (2020) 085]$. We remove this tension
by introducing a more proper near horizon condition, thus the resulting island
solution is well-behaved in any $D\geq4$ dimensional spacetime. Interestingly,
a novel constraint is obtained in this situation as required by the existence
of the island solution, which directly leads to the constraints on the size of
the Schwarzschild black hole, the position of the inner boundary for the
radiation region, or the value of $c\cdot\tilde{G}_{N}$ in any $D\geq4$
dimension. When considering the large $D$ limit, the constraint on the size of
the Schwarzschild black hole obtained in this situation is in agreement with
the result given in $[Phys.Rev.D 102 (2020) 2, 026016]$. We interpret these as
the unitary constraints implied by the presence of island in semiclassical
gravity.
|
[
{
"created": "Tue, 21 Jun 2022 12:56:53 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2022 10:54:19 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Nov 2022 04:20:22 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Dec 2022 03:41:08 GMT",
"version": "v4"
}
] |
2023-01-09
|
[
[
"Du",
"Dong-Hui",
""
],
[
"Gan",
"Wen-Cong",
""
],
[
"Shu",
"Fu-Wen",
""
],
[
"Sun",
"Jia-Rui",
""
]
] |
We reconsider $D\geq4$ dimensional asymptotically flat eternal Schwarzschild black hole, and focus on the situation where the inner boundary of the radiation region is chosen to be near the horizon (i.e. $\beta \ll1$). The tension between the near-horizon condition and the short-distance approximation emerges in large dimensions in $[JHEP 06 (2020) 085]$. We remove this tension by introducing a more proper near horizon condition, thus the resulting island solution is well-behaved in any $D\geq4$ dimensional spacetime. Interestingly, a novel constraint is obtained in this situation as required by the existence of the island solution, which directly leads to the constraints on the size of the Schwarzschild black hole, the position of the inner boundary for the radiation region, or the value of $c\cdot\tilde{G}_{N}$ in any $D\geq4$ dimension. When considering the large $D$ limit, the constraint on the size of the Schwarzschild black hole obtained in this situation is in agreement with the result given in $[Phys.Rev.D 102 (2020) 2, 026016]$. We interpret these as the unitary constraints implied by the presence of island in semiclassical gravity.
|
hep-th/0204051
|
Steven S. Gubser
|
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov
|
A semi-classical limit of the gauge/string correspondence
|
19 pages, latex, one figure. v2: references added, improved
discussion. v3: another ref added, minor corrections, version to appear in
NPB
|
Nucl.Phys. B636 (2002) 99-114
|
10.1016/S0550-3213(02)00373-5
|
PUPT-2029
|
hep-th
| null |
A world-sheet sigma model approach is applied to string theories dual to
four-dimensional gauge theories, and semi-classical soliton solutions
representing highly excited string states are identified which correspond to
gauge theory operators with relatively small anomalous dimensions. The simplest
class of such states are strings on the leading Regge trajectory, with large
spin in AdS_5. These correspond to operators with many covariant derivatives,
whose anomalous dimension grows logarithmically with the space-time spin. In
the gauge theory, the logarithmic scaling violations are similar to those found
in perturbation theory. Other examples of highly excited string states are also
considered.
|
[
{
"created": "Thu, 4 Apr 2002 20:51:33 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2002 23:39:23 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Apr 2002 19:51:08 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Gubser",
"S. S.",
""
],
[
"Klebanov",
"I. R.",
""
],
[
"Polyakov",
"A. M.",
""
]
] |
A world-sheet sigma model approach is applied to string theories dual to four-dimensional gauge theories, and semi-classical soliton solutions representing highly excited string states are identified which correspond to gauge theory operators with relatively small anomalous dimensions. The simplest class of such states are strings on the leading Regge trajectory, with large spin in AdS_5. These correspond to operators with many covariant derivatives, whose anomalous dimension grows logarithmically with the space-time spin. In the gauge theory, the logarithmic scaling violations are similar to those found in perturbation theory. Other examples of highly excited string states are also considered.
|
1601.01406
|
Prasant Samantray
|
Prasant Samantray
|
The Schwinger Mechanism in (Anti) de Sitter Spacetimes
|
9 pages. References added, typos corrected and expanded conclusion
| null |
10.1007/JHEP04(2016)060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a short and novel derivation of the Schwinger mechanism for
particle pair production in $1+1$ dimensional de Sitter and Anti de Sitter
spacetimes. We work directly in the flat embedding space and derive the pair
production rates in these spacetimes via instanton methods. The derivation is
manifestly coordinate independent, and also lends support to the possible deep
connection between two conceptually disparate quantum phenomena - Schwinger
effect and the Davies-Unruh effect.
|
[
{
"created": "Thu, 7 Jan 2016 06:07:20 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 14:16:55 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Feb 2016 17:33:54 GMT",
"version": "v3"
}
] |
2016-05-04
|
[
[
"Samantray",
"Prasant",
""
]
] |
We present a short and novel derivation of the Schwinger mechanism for particle pair production in $1+1$ dimensional de Sitter and Anti de Sitter spacetimes. We work directly in the flat embedding space and derive the pair production rates in these spacetimes via instanton methods. The derivation is manifestly coordinate independent, and also lends support to the possible deep connection between two conceptually disparate quantum phenomena - Schwinger effect and the Davies-Unruh effect.
|
2311.13524
|
Victor Mishnyakov
|
V. Mishnyakov, A. Morozov, M. Reva
|
On factorization hierarchy of equations for banana Feynman amplitudes
|
13 pages
| null | null |
MIPT/TH-17/23 IITP/TH-16/23 ITEP/TH-22/23
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a review of the relations between various equations for maximal
cut banana Feynman diagrams, i.e. amplitudes with propagators substituted with
$\delta$-functions. We consider both equal and generic masses. There are three
types of equation to consider: those in coordinate space, their Fourier
transform and Picard-Fuchs equations originating from the parametric
representation. First, we review the properties of the corresponding
differential operators themselves, mainly their factorization properties at the
equal mass locus and their form at special values of the dimension. Then we
study the relation between the Fourier transform of the coordinate space
equations and the Picard-Fuchs equations and show that they are related by
factorization as well. The equations in question are the counterparts of the
Virasoro constraints in the much-better studied theory of eigenvalue matrix
models and are the first step towards building a full-fledged theory of Feynman
integrals, which will reveal their hidden integrable structure.
|
[
{
"created": "Wed, 22 Nov 2023 16:55:08 GMT",
"version": "v1"
}
] |
2023-11-23
|
[
[
"Mishnyakov",
"V.",
""
],
[
"Morozov",
"A.",
""
],
[
"Reva",
"M.",
""
]
] |
We present a review of the relations between various equations for maximal cut banana Feynman diagrams, i.e. amplitudes with propagators substituted with $\delta$-functions. We consider both equal and generic masses. There are three types of equation to consider: those in coordinate space, their Fourier transform and Picard-Fuchs equations originating from the parametric representation. First, we review the properties of the corresponding differential operators themselves, mainly their factorization properties at the equal mass locus and their form at special values of the dimension. Then we study the relation between the Fourier transform of the coordinate space equations and the Picard-Fuchs equations and show that they are related by factorization as well. The equations in question are the counterparts of the Virasoro constraints in the much-better studied theory of eigenvalue matrix models and are the first step towards building a full-fledged theory of Feynman integrals, which will reveal their hidden integrable structure.
|
2311.06343
|
Gokce Basar
|
Gokce Basar and Joseph Marincel
|
Heavy-dense QCD, sign optimization and Lefschetz thimbles
|
13 pages, 17 figures
| null | null | null |
hep-th hep-lat nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the heavy-dense limit of QCD on the lattice with heavy quarks at
high density. The effective three dimensional theory has a sign problem which
is alleviated by sign optimization where the path integration domain is
deformed in complex space in a way that minimizes the phase oscillations. We
simulate the theory via a Hybrid-Monte-Carlo, for different volumes, both to
leading order and next-to-next-to leading order in the hopping expansion, and
show that sign optimization successfully mitigates the sign problem at large
enough volumes where usual re-weighting methods fail. Finally we show that
there is a significant overlap between the complex manifold generated by sign
optimization and the Lefschetz thimbles associated with the theory.
|
[
{
"created": "Fri, 10 Nov 2023 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 2023 00:16:20 GMT",
"version": "v2"
}
] |
2023-12-14
|
[
[
"Basar",
"Gokce",
""
],
[
"Marincel",
"Joseph",
""
]
] |
We study the heavy-dense limit of QCD on the lattice with heavy quarks at high density. The effective three dimensional theory has a sign problem which is alleviated by sign optimization where the path integration domain is deformed in complex space in a way that minimizes the phase oscillations. We simulate the theory via a Hybrid-Monte-Carlo, for different volumes, both to leading order and next-to-next-to leading order in the hopping expansion, and show that sign optimization successfully mitigates the sign problem at large enough volumes where usual re-weighting methods fail. Finally we show that there is a significant overlap between the complex manifold generated by sign optimization and the Lefschetz thimbles associated with the theory.
|
1411.6640
|
David Andriot
|
David Andriot, Andre Betz
|
Supersymmetry with non-geometric fluxes, or a $\beta$-twist in
Generalized Geometry and Dirac operator
|
25 pages + appendices and references; v2: minor changes, published
version
| null | null | null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study ten-dimensional supersymmetric vacua with NSNS non-geometric fluxes,
in the framework of $\beta$-supergravity. We first provide expressions for the
fermionic supersymmetry variations. Specifying a compactification ansatz to
four dimensions, we deduce internal Killing spinor equations. These
supersymmetry conditions are then reformulated in terms of pure spinors,
similarly to standard supergravity vacua admitting an SU(3)xSU(3) structure in
Generalized Complex Geometry. The standard d-H acting on the pure spinors is
traded for a generalized Dirac operator D, depending here on the non-geometric
fluxes. Rewriting it with an exponential of the bivector $\beta$ leads us to
discuss the geometrical characterisation of the vacua in terms of a
$\beta$-twist, in analogy to the standard twist by the b-field. Thanks to D, we
also propose a general expression for the superpotential to be obtained from
standard supergravities or $\beta$-supergravity, and verify its agreement with
formulas of the literature. We finally comment on the Ramond-Ramond sector, and
discuss a possible relation to intermediate or dynamical SU(2) structure
solutions.
|
[
{
"created": "Mon, 24 Nov 2014 21:03:08 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2015 15:50:51 GMT",
"version": "v2"
}
] |
2015-04-01
|
[
[
"Andriot",
"David",
""
],
[
"Betz",
"Andre",
""
]
] |
We study ten-dimensional supersymmetric vacua with NSNS non-geometric fluxes, in the framework of $\beta$-supergravity. We first provide expressions for the fermionic supersymmetry variations. Specifying a compactification ansatz to four dimensions, we deduce internal Killing spinor equations. These supersymmetry conditions are then reformulated in terms of pure spinors, similarly to standard supergravity vacua admitting an SU(3)xSU(3) structure in Generalized Complex Geometry. The standard d-H acting on the pure spinors is traded for a generalized Dirac operator D, depending here on the non-geometric fluxes. Rewriting it with an exponential of the bivector $\beta$ leads us to discuss the geometrical characterisation of the vacua in terms of a $\beta$-twist, in analogy to the standard twist by the b-field. Thanks to D, we also propose a general expression for the superpotential to be obtained from standard supergravities or $\beta$-supergravity, and verify its agreement with formulas of the literature. We finally comment on the Ramond-Ramond sector, and discuss a possible relation to intermediate or dynamical SU(2) structure solutions.
|
hep-th/9810049
|
Daniel Phillips
|
D. R. Phillips, S. R. Beane (University of Maryland), M. C. Birse
(University of Manchester, U.K.)
|
Scheming in Dimensional Regularization
|
12 pages, additional text in opening section, version to be published
in J. Phys. A
|
J.Phys.A32:3397-3407,1999
|
10.1088/0305-4470/32/18/313
|
U. Md. PP#99-030, DOE/ER/40762-162
|
hep-th hep-ph nucl-th
| null |
We consider the most general loop integral that appears in non-relativistic
effective field theories with no light particles. The divergences of this
integral are in correspondence with simple poles in the space of complex
space-time dimensions. Integrals related to the original integral by
subtraction of one or more poles in dimensions other than D=4 lead to
nonminimal subtraction schemes. Subtraction of all poles in correspondence with
ultraviolet divergences of the loop integral leads naturally to a
regularization scheme which is precisely equivalent to cutoff regularization.
We therefore recover cutoff regularization from dimensional regularization with
a nonminimal subtraction scheme. We then discuss the power-counting for
non-relativistic effective field theories which arises in these alternative
schemes.
|
[
{
"created": "Wed, 7 Oct 1998 17:55:09 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 1999 17:47:50 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Phillips",
"D. R.",
"",
"University of Maryland"
],
[
"Beane",
"S. R.",
"",
"University of Maryland"
],
[
"Birse",
"M. C.",
"",
"University of Manchester, U.K."
]
] |
We consider the most general loop integral that appears in non-relativistic effective field theories with no light particles. The divergences of this integral are in correspondence with simple poles in the space of complex space-time dimensions. Integrals related to the original integral by subtraction of one or more poles in dimensions other than D=4 lead to nonminimal subtraction schemes. Subtraction of all poles in correspondence with ultraviolet divergences of the loop integral leads naturally to a regularization scheme which is precisely equivalent to cutoff regularization. We therefore recover cutoff regularization from dimensional regularization with a nonminimal subtraction scheme. We then discuss the power-counting for non-relativistic effective field theories which arises in these alternative schemes.
|
1703.10166
|
Zhong-Zhi Xianyu
|
Xingang Chen, Yi Wang, Zhong-Zhi Xianyu
|
Schwinger-Keldysh Diagrammatics for Primordial Perturbations
|
40 pages. JCAP published version
|
JCAP 1712 (2017) 006
|
10.1088/1475-7516/2017/12/006
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic introduction to the diagrammatic method for practical
calculations in inflationary cosmology, based on Schwinger-Keldysh path
integral formalism. We show in particular that the diagrammatic rules can be
derived directly from a classical Lagrangian even in the presence of derivative
couplings. Furthermore, we use quasi-single-field inflation as an example to
show how this formalism, combined with the trick of mixed propagator, can
significantly simplify the calculation of some in-in correlation functions. The
resulting bispectrum includes the lighter scalar case ($m<3H/2$) that has been
previously studied, and the heavier scalar case ($m>3H/2$) that has not been
explicitly computed for this model. The latter provides a concrete example of
quantum primordial standard clocks, in which the clock signals can be
observably large.
|
[
{
"created": "Wed, 29 Mar 2017 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2017 16:28:14 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Chen",
"Xingang",
""
],
[
"Wang",
"Yi",
""
],
[
"Xianyu",
"Zhong-Zhi",
""
]
] |
We present a systematic introduction to the diagrammatic method for practical calculations in inflationary cosmology, based on Schwinger-Keldysh path integral formalism. We show in particular that the diagrammatic rules can be derived directly from a classical Lagrangian even in the presence of derivative couplings. Furthermore, we use quasi-single-field inflation as an example to show how this formalism, combined with the trick of mixed propagator, can significantly simplify the calculation of some in-in correlation functions. The resulting bispectrum includes the lighter scalar case ($m<3H/2$) that has been previously studied, and the heavier scalar case ($m>3H/2$) that has not been explicitly computed for this model. The latter provides a concrete example of quantum primordial standard clocks, in which the clock signals can be observably large.
|
2404.17233
|
Po-Shen Hsin
|
Po-Shen Hsin
|
Time-Reversal Anomalies of QCD$_3$ and QED$_3$
|
24 pages
| null | null | null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
Anomalies of global symmetry provide powerful tool to constrain the dynamics
of quantum systems, such as anomaly matching in the renormalization group flow
and obstruction to symmetric mass generation. In this note we compute the
anomalies in 2+1d time-reversal symmetric gauge theories with massless fermions
in the fundamental and rank-two tensor representations, where the gauge groups
are $SU(N),SO(N),Sp(N),U(1)$. The fermion parity is part of the gauge group and
the theories are bosonic. The time-reversal symmetry satisfies $T^2=1$ or
$T^2={\cal M}$ where ${\cal M}$ is an internal magnetic symmetry.
We show that some of the bosonic gauge theories have time-reversal anomaly
with $c_-\neq 0$ mod 8 that is absent in fermionic systems. The anomalies of
the gauge theories can be nontrivial even when the number of Majorana fermions
is a multiple of 16 and $\nu=0$.
|
[
{
"created": "Fri, 26 Apr 2024 08:09:02 GMT",
"version": "v1"
},
{
"created": "Sat, 25 May 2024 21:44:10 GMT",
"version": "v2"
}
] |
2024-05-28
|
[
[
"Hsin",
"Po-Shen",
""
]
] |
Anomalies of global symmetry provide powerful tool to constrain the dynamics of quantum systems, such as anomaly matching in the renormalization group flow and obstruction to symmetric mass generation. In this note we compute the anomalies in 2+1d time-reversal symmetric gauge theories with massless fermions in the fundamental and rank-two tensor representations, where the gauge groups are $SU(N),SO(N),Sp(N),U(1)$. The fermion parity is part of the gauge group and the theories are bosonic. The time-reversal symmetry satisfies $T^2=1$ or $T^2={\cal M}$ where ${\cal M}$ is an internal magnetic symmetry. We show that some of the bosonic gauge theories have time-reversal anomaly with $c_-\neq 0$ mod 8 that is absent in fermionic systems. The anomalies of the gauge theories can be nontrivial even when the number of Majorana fermions is a multiple of 16 and $\nu=0$.
|
hep-th/0509066
|
Simon F. Ross
|
Simon F. Ross
|
Winding tachyons in asymptotically supersymmetric black strings
|
14 pages, v2: ref added
|
JHEP0510:112,2005
|
10.1088/1126-6708/2005/10/112
|
DCPT-05/39
|
hep-th
| null |
We show that in the D1-D5 system with angular momentum, there can be
localised tachyonic winding string modes in the interior of the spacetime even
if we choose a spin structure which preserves supersymmetry in the asymptotic
region. We consider cases where the tachyonic region extends outside the event
horizon, and argue that the natural endstate of tachyon condensation in almost
all cases is one of the solitonic solutions which correspond to special
microstates of the D1-D5 system.
|
[
{
"created": "Fri, 9 Sep 2005 15:37:31 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2005 09:12:43 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Ross",
"Simon F.",
""
]
] |
We show that in the D1-D5 system with angular momentum, there can be localised tachyonic winding string modes in the interior of the spacetime even if we choose a spin structure which preserves supersymmetry in the asymptotic region. We consider cases where the tachyonic region extends outside the event horizon, and argue that the natural endstate of tachyon condensation in almost all cases is one of the solitonic solutions which correspond to special microstates of the D1-D5 system.
|
hep-th/9611086
|
Asim Gangopadhyaya
|
Asim Gangopadhyaya and Uday P. Sukhatme
|
Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their
Calogero Spectrum
|
Latex, 12 pages, Figures available from Authors, To appear in Physics
Letters A. Please send requests for figures to agangop@luc.edu or
asim@uic.edu
|
Phys.Lett. A224 (1996) 5-14
|
10.1016/S0375-9601(96)00807-9
|
HEPTH/96-14
|
hep-th
| null |
Motivated by the concept of shape invariance in supersymmetric quantum
mechanics, we obtain potentials whose spectrum consists of two shifted sets of
equally spaced energy levels. These potentials are similar to the
Calogero-Sutherland model except the singular term $\alpha x^{-2}$ always falls
in the transition region $-1/4 < \alpha < 3/4$ and there is a delta-function
singularity at x=0.
|
[
{
"created": "Tue, 12 Nov 1996 19:15:56 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Gangopadhyaya",
"Asim",
""
],
[
"Sukhatme",
"Uday P.",
""
]
] |
Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term $\alpha x^{-2}$ always falls in the transition region $-1/4 < \alpha < 3/4$ and there is a delta-function singularity at x=0.
|
1507.06069
|
Phuc Nguyen
|
Elena Caceres, Phuc H. Nguyen, Juan F. Pedraza
|
Holographic entanglement entropy and the extended phase structure of STU
black holes
|
35 pages, multiple figures. v3: matches published version
|
JHEP 1509 (2015) 184
|
10.1007/JHEP09(2015)184
|
UTTG-14-15, TCC-005-15
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the extended thermodynamics, obtained by considering the
cosmological constant as a thermodynamic variable, of STU black holes in
4-dimensions in the fixed charge ensemble. The associated phase structure is
conjectured to be dual to an RG-flow on the space of field theories. We find
that for some charge configurations the phase structure resembles that of a Van
der Waals gas: the system exhibits a family of first order phase transitions
ending in a second order phase transition at a critical temperature. We
calculate the holographic entanglement entropy for several charge
configurations and show that for the cases where the gravity background
exhibits Van der Waals behavior, the entanglement entropy presents a transition
at the same critical temperature. To further characterize the phase transition
we calculate appropriate critical exponents and show that they coincide. Thus,
the entanglement entropy successfully captures the information of the extended
phase structure. Finally, we discuss the physical interpretation of the
extended space in terms of the boundary QFT and construct various holographic
heat engines dual to STU black holes.
|
[
{
"created": "Wed, 22 Jul 2015 06:11:22 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2015 18:00:00 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Oct 2015 04:09:45 GMT",
"version": "v3"
}
] |
2018-09-25
|
[
[
"Caceres",
"Elena",
""
],
[
"Nguyen",
"Phuc H.",
""
],
[
"Pedraza",
"Juan F.",
""
]
] |
We study the extended thermodynamics, obtained by considering the cosmological constant as a thermodynamic variable, of STU black holes in 4-dimensions in the fixed charge ensemble. The associated phase structure is conjectured to be dual to an RG-flow on the space of field theories. We find that for some charge configurations the phase structure resembles that of a Van der Waals gas: the system exhibits a family of first order phase transitions ending in a second order phase transition at a critical temperature. We calculate the holographic entanglement entropy for several charge configurations and show that for the cases where the gravity background exhibits Van der Waals behavior, the entanglement entropy presents a transition at the same critical temperature. To further characterize the phase transition we calculate appropriate critical exponents and show that they coincide. Thus, the entanglement entropy successfully captures the information of the extended phase structure. Finally, we discuss the physical interpretation of the extended space in terms of the boundary QFT and construct various holographic heat engines dual to STU black holes.
|
1011.4144
|
Chang-Soon Park
|
Hirosi Ooguri, Chang-Soon Park
|
Spatially Modulated Phase in Holographic Quark-Gluon Plasma
|
5 pages, 3 figures
|
Phys.Rev.Lett.106:061601,2011
|
10.1103/PhysRevLett.106.061601
|
CALT-68-2810, IPMU10-0201, SCIPP 10/20
|
hep-th cond-mat.str-el gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a string theory construction of a gravity dual of a spatially
modulated phase. In our earlier work, we showed that the Chern-Simons term in
the 5-dimensional Maxwell theory destabilizes the Reissner-Nordstrom black
holes in anti-de Sitter space if the Chern-Simons coupling is sufficiently
high. In this paper, we show that a similar instability is realized on the
worldvolume of 8-branes in the Sakai-Sugimoto model in the quark-gluon plasma
phase. We also construct and analyze a non-linear solution describing the
end-point of the transition. Our result suggests a new spatially modulated
phase in quark-gluon plasma when the baryon density is above 0.8 N_f fm^{-3} at
temperature 150 MeV.
|
[
{
"created": "Thu, 18 Nov 2010 07:07:51 GMT",
"version": "v1"
}
] |
2011-02-23
|
[
[
"Ooguri",
"Hirosi",
""
],
[
"Park",
"Chang-Soon",
""
]
] |
We present a string theory construction of a gravity dual of a spatially modulated phase. In our earlier work, we showed that the Chern-Simons term in the 5-dimensional Maxwell theory destabilizes the Reissner-Nordstrom black holes in anti-de Sitter space if the Chern-Simons coupling is sufficiently high. In this paper, we show that a similar instability is realized on the worldvolume of 8-branes in the Sakai-Sugimoto model in the quark-gluon plasma phase. We also construct and analyze a non-linear solution describing the end-point of the transition. Our result suggests a new spatially modulated phase in quark-gluon plasma when the baryon density is above 0.8 N_f fm^{-3} at temperature 150 MeV.
|
hep-th/0209180
|
F. Loran
|
F. Loran
|
Abelianization of First Class Constraints
|
To appear in PLB
|
Phys.Lett. B547 (2002) 63-68
|
10.1016/S0370-2693(02)02734-X
| null |
hep-th
| null |
We show that a given set of first class constraints becomes abelian if one
maps each constraint to the surface of other constraints. There is no
assumption that first class constraints satisfy a closed algebra. The explicit
form of the projection map is obtained at least for irreducible first class
constraints. Using this map we give a method to obtain gauge fixing conditions
such that the set of abelian first class constraints and gauge fixing
conditions satisfy the symplectic algebra.
|
[
{
"created": "Sun, 22 Sep 2002 07:40:59 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Loran",
"F.",
""
]
] |
We show that a given set of first class constraints becomes abelian if one maps each constraint to the surface of other constraints. There is no assumption that first class constraints satisfy a closed algebra. The explicit form of the projection map is obtained at least for irreducible first class constraints. Using this map we give a method to obtain gauge fixing conditions such that the set of abelian first class constraints and gauge fixing conditions satisfy the symplectic algebra.
|
hep-th/0407269
|
Omer Faruk Dayi
|
O.F.Dayi and B. Yapiskan
|
Equivalence of partition functions for noncommutative U(1) gauge theory
and its dual in phase space
|
15 pages. Version to appear in JHEP
|
JHEP0411:064,2004
|
10.1088/1126-6708/2004/11/064
| null |
hep-th
| null |
Equivalence of partition functions for U(1) gauge theory and its dual in
appropriate phase spaces is established in terms of constrained hamiltonian
formalism of their parent action. Relations between the electric--magnetic
duality transformation and the (S) duality transformation which inverts the
strong coupling domains to the weak coupling domains of noncommutative U(1)
gauge theory are discussed in terms of the lagrangian and the hamiltonian
densities. The approach presented for the commutative case is utilized to
demonstrate that noncommutative U(1) gauge theory and its dual possess the same
partition function in their phase spaces at the first order in the
noncommutativity parameter \theta .
|
[
{
"created": "Fri, 30 Jul 2004 10:21:55 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 2004 07:27:56 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Nov 2004 07:00:48 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Dayi",
"O. F.",
""
],
[
"Yapiskan",
"B.",
""
]
] |
Equivalence of partition functions for U(1) gauge theory and its dual in appropriate phase spaces is established in terms of constrained hamiltonian formalism of their parent action. Relations between the electric--magnetic duality transformation and the (S) duality transformation which inverts the strong coupling domains to the weak coupling domains of noncommutative U(1) gauge theory are discussed in terms of the lagrangian and the hamiltonian densities. The approach presented for the commutative case is utilized to demonstrate that noncommutative U(1) gauge theory and its dual possess the same partition function in their phase spaces at the first order in the noncommutativity parameter \theta .
|
1109.1974
|
Johannes Held
|
Johannes Held
|
BPS-like potential for compactifications of heterotic M-theory?
|
31 pages, no figures, references added, typos corrected
|
JHEP 1110:136, 2011
|
10.1007/JHEP10(2011)136
|
MPP-2011-108
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the possibility to rewrite the action of Horava-Witten theory in a
BPS-like form, which means that it is given as a sum of squares of the
supersymmetry conditions. To this end we compactify the theory on a seven
dimensional manifold of SU(3) structure and rewrite the scalar curvature of the
compactification manifold in terms of the SU(3) structure forms. This shows
that a BPS-like form cannot be obtained in general, but only for certain types
of compactifications.
|
[
{
"created": "Fri, 9 Sep 2011 12:00:43 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2011 10:31:32 GMT",
"version": "v2"
}
] |
2011-11-08
|
[
[
"Held",
"Johannes",
""
]
] |
We analyze the possibility to rewrite the action of Horava-Witten theory in a BPS-like form, which means that it is given as a sum of squares of the supersymmetry conditions. To this end we compactify the theory on a seven dimensional manifold of SU(3) structure and rewrite the scalar curvature of the compactification manifold in terms of the SU(3) structure forms. This shows that a BPS-like form cannot be obtained in general, but only for certain types of compactifications.
|
hep-th/9810229
|
Sergiu Vacaru
|
Sergiu I. Vacaru
|
Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces
|
49 pages, latex209, submitted to JHEP
|
Sergiu Vacaru: Interactions, Strings, and Isotopies in Higher
Order Anisotropic Superspaces (Hadronic Press, Palm Harbor, USA, 1998)
260-283
| null | null |
hep-th
| null |
We propose an approach to the theory of higher order anisotropic field
interactions and curved spaces (in brief, ha-field, ha-interactions and
ha-spaces). The concept of ha-space generalises various types of Lagrange and
Finsler spaces and higher dimension (Kaluza-Klein) spaces. This work consists
from two parts. In the first we outline the theory of Yang-Mills ha-fields and
two gauge models of higher order anisotropic gravity are analyzed. The second
is devoted to the theory of nearly autoparallel maps (na-maps) of locally
anisotropic spaces (la-spaces) and to the problem of formulation of
conservation laws for la-field interactions.
By defining invariants of na-map transforms we present a systematic
classification of la-spaces.
|
[
{
"created": "Wed, 28 Oct 1998 10:28:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vacaru",
"Sergiu I.",
""
]
] |
We propose an approach to the theory of higher order anisotropic field interactions and curved spaces (in brief, ha-field, ha-interactions and ha-spaces). The concept of ha-space generalises various types of Lagrange and Finsler spaces and higher dimension (Kaluza-Klein) spaces. This work consists from two parts. In the first we outline the theory of Yang-Mills ha-fields and two gauge models of higher order anisotropic gravity are analyzed. The second is devoted to the theory of nearly autoparallel maps (na-maps) of locally anisotropic spaces (la-spaces) and to the problem of formulation of conservation laws for la-field interactions. By defining invariants of na-map transforms we present a systematic classification of la-spaces.
|
hep-th/9201025
|
Jurgen Laartz
|
M.Forger, J.Laartz, U.Schaeper
|
Current Algebra of Classical Non-Linear Sigma Models
|
6 pages
|
Commun. Math. Phys. 146 (1992) 397-402
|
10.1007/BF02102634
| null |
hep-th
| null |
The current algebra of classical non-linear sigma models on arbitrary
Riemannian manifolds is analyzed. It is found that introducing, in addition to
the Noether current $j_\mu$ associated with the global symmetry of the theory,
a composite scalar field $j$, the algebra closes under Poisson brackets.
|
[
{
"created": "Mon, 13 Jan 1992 22:22:55 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Forger",
"M.",
""
],
[
"Laartz",
"J.",
""
],
[
"Schaeper",
"U.",
""
]
] |
The current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is analyzed. It is found that introducing, in addition to the Noether current $j_\mu$ associated with the global symmetry of the theory, a composite scalar field $j$, the algebra closes under Poisson brackets.
|
2005.11314
|
David Tong
|
Philip Boyle Smith and David Tong
|
Boundary RG Flows for Fermions and the Mod 2 Anomaly
|
47 pages. v2: references added
|
SciPost Phys. 10, 010 (2021)
|
10.21468/SciPostPhys.10.1.010
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Boundary conditions for Majorana fermions in d=1+1 dimensions fall into one
of two SPT phases, associated to a mod 2 anomaly. Here we consider boundary
conditions for 2N Majorana fermions that preserve a $U(1)^N$ symmetry. In
general, the left-moving and right-moving fermions carry different charges
under this symmetry, and implementation of the boundary condition requires new
degrees of freedom, which manifest themselves in a boundary central charge,
$g$.
We follow the boundary RG flow induced by turning on relevant boundary
operators. We identify the infra-red boundary state. In many cases, the
boundary state flips SPT class, resulting in an emergent Majorana mode needed
to cancel the anomaly. We show that the ratio of UV and IR boundary central
charges is given by $g^2_{IR} / g^2_{UV} = {\rm dim}\,({\cal O})$, the
dimension of the perturbing boundary operator. Any relevant operator
necessarily has ${\rm dim}({\cal O}) < 1$, ensuring that the central charge
decreases in accord with the g-theorem.
|
[
{
"created": "Fri, 22 May 2020 17:59:09 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 08:36:17 GMT",
"version": "v2"
}
] |
2021-01-20
|
[
[
"Smith",
"Philip Boyle",
""
],
[
"Tong",
"David",
""
]
] |
Boundary conditions for Majorana fermions in d=1+1 dimensions fall into one of two SPT phases, associated to a mod 2 anomaly. Here we consider boundary conditions for 2N Majorana fermions that preserve a $U(1)^N$ symmetry. In general, the left-moving and right-moving fermions carry different charges under this symmetry, and implementation of the boundary condition requires new degrees of freedom, which manifest themselves in a boundary central charge, $g$. We follow the boundary RG flow induced by turning on relevant boundary operators. We identify the infra-red boundary state. In many cases, the boundary state flips SPT class, resulting in an emergent Majorana mode needed to cancel the anomaly. We show that the ratio of UV and IR boundary central charges is given by $g^2_{IR} / g^2_{UV} = {\rm dim}\,({\cal O})$, the dimension of the perturbing boundary operator. Any relevant operator necessarily has ${\rm dim}({\cal O}) < 1$, ensuring that the central charge decreases in accord with the g-theorem.
|
1512.01644
|
Peter West
|
Alexander G. Tumanov and Peter West
|
E11 must be a symmetry of strings and branes
|
17 pages, The eleven dimensional results are given in more detail and
are shown to be uniquely determined. Typographical and transcription errors
are also corrected
| null |
10.1016/j.physletb.2016.06.011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the non-linear realisation of the semi-direct product of E11 and
its vector representation in five and eleven dimensions and find the dynamical
equations it predicts at low levels. Restricting these results to contain only
the usual fields of supergravity and the generalised space-time to be the usual
space-time we find the equations of motion of the five and eleven dimensional
maximal supergravity theories. Since this non-linear realisation contains
effects that are beyond the supergravity approximation and are thought to be
present in an underlying theory we conclude that the low energy effective
action of string and branes must possess an E11 symmetry.
|
[
{
"created": "Sat, 5 Dec 2015 09:25:46 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2015 17:58:49 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Jan 2016 11:14:10 GMT",
"version": "v3"
}
] |
2016-07-20
|
[
[
"Tumanov",
"Alexander G.",
""
],
[
"West",
"Peter",
""
]
] |
We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in five and eleven dimensions and find the dynamical equations it predicts at low levels. Restricting these results to contain only the usual fields of supergravity and the generalised space-time to be the usual space-time we find the equations of motion of the five and eleven dimensional maximal supergravity theories. Since this non-linear realisation contains effects that are beyond the supergravity approximation and are thought to be present in an underlying theory we conclude that the low energy effective action of string and branes must possess an E11 symmetry.
|
0806.1786
|
Benjamin Zwiebel
|
Benjamin I. Zwiebel
|
Iterative Structure of the N=4 SYM Spin Chain
|
49 pages, v2: references added, minor changes
|
JHEP 0807:114,2008
|
10.1088/1126-6708/2008/07/114
|
DAMTP-2008-52
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop algebraic methods for finding loop corrections to the N=4 SYM
dilatation generator, within the noncompact psu(1,1|2) sector. This sector
gives a 't Hooft coupling lambda-dependent representation of psu(1,1|2) times
psu(1|1)^2. At first working independently of the representation, we present an
all-order algebraic ansatz for the lambda-dependence of this Lie algebra's
generators. The ansatz solves the symmetry constraints if an auxiliary
generator, h, satisfies certain simple commutation relations with the Lie
algebra generators. Applying this to the psu(1,1|2) sector leads to an
iterative solution for the planar three-loop dilatation generator in terms of
leading order symmetry generators and h, which passes a thorough set of
spectral tests. We argue also that this algebraic ansatz may be applicable to
the nonplanar theory as well.
|
[
{
"created": "Wed, 11 Jun 2008 04:34:56 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2008 13:22:40 GMT",
"version": "v2"
}
] |
2009-12-10
|
[
[
"Zwiebel",
"Benjamin I.",
""
]
] |
We develop algebraic methods for finding loop corrections to the N=4 SYM dilatation generator, within the noncompact psu(1,1|2) sector. This sector gives a 't Hooft coupling lambda-dependent representation of psu(1,1|2) times psu(1|1)^2. At first working independently of the representation, we present an all-order algebraic ansatz for the lambda-dependence of this Lie algebra's generators. The ansatz solves the symmetry constraints if an auxiliary generator, h, satisfies certain simple commutation relations with the Lie algebra generators. Applying this to the psu(1,1|2) sector leads to an iterative solution for the planar three-loop dilatation generator in terms of leading order symmetry generators and h, which passes a thorough set of spectral tests. We argue also that this algebraic ansatz may be applicable to the nonplanar theory as well.
|
2302.03340
|
Xin-Xiang Ju
|
Xin-Xiang Ju, Wen-Bin Pan, Ya-Wen Sun and Yuan-Tai Wang
|
Generalized Rindler Wedge and Holographic Observer Concordance
|
v2: 41 pages, 9 figures; major expansion for the GRW spacetime
subregion duality and observer concordance
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the most general horizons of accelerating observers and find that in
a general spacetime, only spacelike surfaces satisfying a global condition
could become horizons of well-defined accelerating observers, which we name the
Rindler-convexity condition. The entanglement entropy associated with a
Rindler-convex region is proportional to the area of the enclosing surface.
This observer physics provides a novel perspective to define a well-defined
subregion in spacetime, named the generalized Rindler wedge, whose degrees of
freedom should be fully encoded within the subregion. We propose the
holographic interpretation of generalized Rindler wedges and provide evidence
from the observer correspondence, the subregion subalgebra duality, and the
equality of the entanglement entropy, respectively. We introduce time/space
cutoffs in the bulk to substantiate this proposition, generalize it, and
establish a holographic observer concordance framework, which asserts that the
partitioning of degrees of freedom through observation is holographically
concordant.
|
[
{
"created": "Tue, 7 Feb 2023 09:27:27 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Aug 2023 11:22:25 GMT",
"version": "v2"
}
] |
2023-08-15
|
[
[
"Ju",
"Xin-Xiang",
""
],
[
"Pan",
"Wen-Bin",
""
],
[
"Sun",
"Ya-Wen",
""
],
[
"Wang",
"Yuan-Tai",
""
]
] |
We study the most general horizons of accelerating observers and find that in a general spacetime, only spacelike surfaces satisfying a global condition could become horizons of well-defined accelerating observers, which we name the Rindler-convexity condition. The entanglement entropy associated with a Rindler-convex region is proportional to the area of the enclosing surface. This observer physics provides a novel perspective to define a well-defined subregion in spacetime, named the generalized Rindler wedge, whose degrees of freedom should be fully encoded within the subregion. We propose the holographic interpretation of generalized Rindler wedges and provide evidence from the observer correspondence, the subregion subalgebra duality, and the equality of the entanglement entropy, respectively. We introduce time/space cutoffs in the bulk to substantiate this proposition, generalize it, and establish a holographic observer concordance framework, which asserts that the partitioning of degrees of freedom through observation is holographically concordant.
|
hep-th/0012176
|
Luiz Agostinho Ferreira
|
L. A. Ferreira and A. V. Razumov
|
Hopf solitons and area preserving diffeomorphisms of the sphere
|
6 pages, LaTeX
|
Lett.Math.Phys.55:143-148,2001
|
10.1023/A:1010944704177
|
preprint IFT--P.101/2000
|
hep-th math-ph math.MP nlin.SI
| null |
We consider a (3+1)-dimensional local field theory defined on the sphere. The
model possesses exact soliton solutions with non trivial Hopf topological
charges, and infinite number of local conserved currents. We show that the
Poisson bracket algebra of the corresponding charges is isomorphic to that of
the area preserving diffeomorphisms of the sphere. We also show that the
conserved currents under consideration are the Noether currents associated to
the invariance of the Lagrangian under that infinite group of diffeomorphisms.
We indicate possible generalizations of the model.
|
[
{
"created": "Tue, 19 Dec 2000 17:54:35 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Ferreira",
"L. A.",
""
],
[
"Razumov",
"A. V.",
""
]
] |
We consider a (3+1)-dimensional local field theory defined on the sphere. The model possesses exact soliton solutions with non trivial Hopf topological charges, and infinite number of local conserved currents. We show that the Poisson bracket algebra of the corresponding charges is isomorphic to that of the area preserving diffeomorphisms of the sphere. We also show that the conserved currents under consideration are the Noether currents associated to the invariance of the Lagrangian under that infinite group of diffeomorphisms. We indicate possible generalizations of the model.
|
hep-th/9502022
|
Benjamin Enriquez
|
B. Enriquez
|
Soliton solutions of the classical lattice sine-Gordon system
| null | null | null | null |
hep-th
| null |
We study the soliton-type solutions of the system introduced by B. Feigin and
the author in in [EF]. We show that it reduces to a top-like system, and we
study the behaviour of the solutions at the lattice infinity. We compute the
scattering of the solitons and study some periodic solutions of the system.
|
[
{
"created": "Fri, 3 Feb 1995 12:12:09 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Enriquez",
"B.",
""
]
] |
We study the soliton-type solutions of the system introduced by B. Feigin and the author in in [EF]. We show that it reduces to a top-like system, and we study the behaviour of the solutions at the lattice infinity. We compute the scattering of the solitons and study some periodic solutions of the system.
|
hep-th/0003109
| null |
Ruth Gregory, Valery A. Rubakov and Sergei M. Sibiryakov
|
Brane worlds: the gravity of escaping matter
|
14 pages of LaTeX, no figures
|
Class.Quant.Grav. 17 (2000) 4437-4450
|
10.1088/0264-9381/17/21/306
|
INR-2000-11
|
hep-th
| null |
In the framework of a five-dimensional model with one 3-brane and an infinite
extra dimension, we discuss a process in which matter escapes from the brane
and propagates into the bulk to arbitrarily large distances. An example is a
decay of a particle of mass $2m$ residing on the brane into two particles of
mass $m$ that leave the brane and accelerate away. We calculate, in the
linearized theory, the metric induced by these particles on the brane. This
metric does not obey the four-dimensional Einstein equations and corresponds to
a spherical gravity wave propagating along the four-dimensional future light
cone. The four-dimensional space-time left behind the spherical wave is flat,
so the gravitational field induced in the brane world by matter escaping from
the brane disappears in a causal way.
|
[
{
"created": "Tue, 14 Mar 2000 14:41:59 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gregory",
"Ruth",
""
],
[
"Rubakov",
"Valery A.",
""
],
[
"Sibiryakov",
"Sergei M.",
""
]
] |
In the framework of a five-dimensional model with one 3-brane and an infinite extra dimension, we discuss a process in which matter escapes from the brane and propagates into the bulk to arbitrarily large distances. An example is a decay of a particle of mass $2m$ residing on the brane into two particles of mass $m$ that leave the brane and accelerate away. We calculate, in the linearized theory, the metric induced by these particles on the brane. This metric does not obey the four-dimensional Einstein equations and corresponds to a spherical gravity wave propagating along the four-dimensional future light cone. The four-dimensional space-time left behind the spherical wave is flat, so the gravitational field induced in the brane world by matter escaping from the brane disappears in a causal way.
|
1606.00792
|
Edi Halyo
|
Edi Halyo
|
Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
|
31 pages
| null | null |
SU-ITP-16/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that any nonextremal black hole can be described by a Liouville
theory that lives on its very near horizon region. In classical Liouville
theory, the black hole corresponds to a field configuration that reproduces the
Rindler metric. In quantum Liouville theory, the black hole state in the CFT is
created by the puncture operator that gives rise to a conical singularity with
a deficit angle of $2 \pi$. This state is "heavy" with a nonnormalizable wave
function in the minisuperspace approximation. Black hole entropy counts the
number of ways the "heavy" black hole state can be obtained by acting with a
product of "light, quantum" operators in the CFT. Black hole hair is described
by the "background charge" in the CFT but its physical nature is unclear.
|
[
{
"created": "Thu, 2 Jun 2016 18:41:43 GMT",
"version": "v1"
}
] |
2016-06-03
|
[
[
"Halyo",
"Edi",
""
]
] |
We show that any nonextremal black hole can be described by a Liouville theory that lives on its very near horizon region. In classical Liouville theory, the black hole corresponds to a field configuration that reproduces the Rindler metric. In quantum Liouville theory, the black hole state in the CFT is created by the puncture operator that gives rise to a conical singularity with a deficit angle of $2 \pi$. This state is "heavy" with a nonnormalizable wave function in the minisuperspace approximation. Black hole entropy counts the number of ways the "heavy" black hole state can be obtained by acting with a product of "light, quantum" operators in the CFT. Black hole hair is described by the "background charge" in the CFT but its physical nature is unclear.
|
2303.08787
|
Mikhail Alfimov Mr
|
Mikhail Alfimov and Andrey Kurakin
|
On bosonic Thirring model in Minkowski signature
|
22 pages, 6 figures, v2: typos fixed, appendix B extended, improved
pictures format, v3: prepared for submission to Nuclear Physics B, typos
fixed, added some two-loop two-point functions, v4: published version
|
Nucl. Phys. B 998 (2024) 116418
|
10.1016/j.nuclphysb.2023.116418
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present the way to continue the bosonic Thirring model or
$\beta\gamma$-system with quartic interaction to Minkowski signature, based on
the symmetries of this model. It is shown that the considered Minkowski version
of the model is one-loop renormalizable. Based on this, we find the amplitudes
of the scattering of the excitations corresponding to the $\gamma$ and
$\bar{\gamma}$ fields up to the one-loop order. In particular, it was computed
that the $2 \rightarrow 2$ amplitudes of these excitations possess the property
of reflectionless scattering and thus the corresponding $S$-matrix of such
excitations satisfies the Yang-Baxter equation. The obtained $S$-matrix
elements for $\gamma$ and $\bar{\gamma}$ are shown to coincide with the
corresponding $S$-matrix elements of the solitons in the complex sine-Gordon
model proposed by Dorey and Hollowood.
|
[
{
"created": "Wed, 15 Mar 2023 17:29:04 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2023 11:19:33 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Sep 2023 17:41:59 GMT",
"version": "v3"
},
{
"created": "Sat, 23 Dec 2023 14:56:28 GMT",
"version": "v4"
}
] |
2023-12-27
|
[
[
"Alfimov",
"Mikhail",
""
],
[
"Kurakin",
"Andrey",
""
]
] |
We present the way to continue the bosonic Thirring model or $\beta\gamma$-system with quartic interaction to Minkowski signature, based on the symmetries of this model. It is shown that the considered Minkowski version of the model is one-loop renormalizable. Based on this, we find the amplitudes of the scattering of the excitations corresponding to the $\gamma$ and $\bar{\gamma}$ fields up to the one-loop order. In particular, it was computed that the $2 \rightarrow 2$ amplitudes of these excitations possess the property of reflectionless scattering and thus the corresponding $S$-matrix of such excitations satisfies the Yang-Baxter equation. The obtained $S$-matrix elements for $\gamma$ and $\bar{\gamma}$ are shown to coincide with the corresponding $S$-matrix elements of the solitons in the complex sine-Gordon model proposed by Dorey and Hollowood.
|
1704.05437
|
Timothy J. Hollowood
|
Calan Appadu, Timothy J. Hollowood, J. Luis Miramontes, Dafydd Price,
and David M. Schmidtt
|
Giant Magnons of String Theory in the Lambda Background
|
53 pages, 6 figures, final version to appear in JHEP
| null |
10.1007/JHEP07(2017)098
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The analogues of giant magnon configurations are studied on the string world
sheet in the lambda background. This is a discrete deformation of the
AdS(5)xS(5) background that preserves the integrability of the world sheet
theory. Giant magnon solutions are generated using the dressing method and
their dispersion relation is found. This reduces to the usual dyonic giant
magnon dispersion relation in the appropriate limit and becomes relativistic in
another limit where the lambda model becomes the generalized sine-Gordon theory
of the Pohlmeyer reduction. The scattering of giant magnons is then shown in
the semi-classical limit to be described by the quantum S-matrix that is a
quantum group deformation of the conventional giant magnon S-matrix. It is
further shown that in the small g limit, a sector of the S-matrix is related to
the XXZ spin chain whose spectrum matches the spectrum of magnon bound states.
|
[
{
"created": "Tue, 18 Apr 2017 17:38:44 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2017 10:35:18 GMT",
"version": "v2"
}
] |
2017-09-13
|
[
[
"Appadu",
"Calan",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
],
[
"Price",
"Dafydd",
""
],
[
"Schmidtt",
"David M.",
""
]
] |
The analogues of giant magnon configurations are studied on the string world sheet in the lambda background. This is a discrete deformation of the AdS(5)xS(5) background that preserves the integrability of the world sheet theory. Giant magnon solutions are generated using the dressing method and their dispersion relation is found. This reduces to the usual dyonic giant magnon dispersion relation in the appropriate limit and becomes relativistic in another limit where the lambda model becomes the generalized sine-Gordon theory of the Pohlmeyer reduction. The scattering of giant magnons is then shown in the semi-classical limit to be described by the quantum S-matrix that is a quantum group deformation of the conventional giant magnon S-matrix. It is further shown that in the small g limit, a sector of the S-matrix is related to the XXZ spin chain whose spectrum matches the spectrum of magnon bound states.
|
1001.5414
|
Davide Campagnari
|
Hugo Reinhardt and Davide R. Campagnari
|
Heat-kernel expansion and counterterms of the Faddeev-Popov determinant
in Coulomb and Landau gauge
|
7 pages
|
Eur.Phys.J.C68:299-303,2010
|
10.1140/epjc/s10052-010-1334-2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Faddeev-Popov determinant of Landau gauge in d dimensions and Coulomb
gauge in d+1 dimensions is calculated in the heat-kernel expansion up to
next-to-leading order. The UV-divergent parts in d=3,4 are isolated and the
counterterms required for a non-perturbative treatment of the Faddeev-Popov
determinant are determined.
|
[
{
"created": "Fri, 29 Jan 2010 14:37:07 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Reinhardt",
"Hugo",
""
],
[
"Campagnari",
"Davide R.",
""
]
] |
The Faddeev-Popov determinant of Landau gauge in d dimensions and Coulomb gauge in d+1 dimensions is calculated in the heat-kernel expansion up to next-to-leading order. The UV-divergent parts in d=3,4 are isolated and the counterterms required for a non-perturbative treatment of the Faddeev-Popov determinant are determined.
|
hep-th/0111135
|
Oliver DeWolfe
|
Oliver DeWolfe, Daniel Z. Freedman, Hirosi Ooguri
|
Holography and Defect Conformal Field Theories
|
47 pages, LaTeX, 2 figures, feynmf. v2: fixed minor errors, added
references. v3: fixed more typos
|
Phys.Rev.D66:025009,2002
|
10.1103/PhysRevD.66.025009
|
CALT-68-2359, CITUSC/01-041, NSF-ITP-01-172, MIT-CTP-3212
|
hep-th
| null |
We develop both the gravity and field theory sides of the Karch-Randall
conjecture that the near-horizon description of a certain D5-D3 brane
configuration in string theory, realized as AdS_5 x S^5 bisected by an AdS_4 x
S^2 "brane", is dual to N=4 Super Yang-Mills theory in R^4 coupled to an R^3
defect. We propose a complete Lagrangian for the field theory dual, a novel
"defect superconformal field theory" wherein a subset of the fields of N=4 SYM
interacts with a d=3 SU(N) fundamental hypermultiplet on the defect preserving
conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped
D5 modes on AdS_4 x S^2 leads to towers of short representations of OSp(4|4),
and we construct the map to a set of dual gauge-invariant defect operators O_3
possessing integer conformal dimensions. Gravity calculations of <O_4> and
<O_4O_3> are given. Spacetime and N-dependence matches expectations from dCFT,
while the behavior as functions of lambda = g^2 N at strong and weak coupling
is generically different. We comment on a class of correlators for which a
non-renormalization theorem may still exist. Partial evidence for the
conformality of the quantum theory is given, including a complete argument for
the special case of a U(1) gauge group. Some weak coupling arguments which
illuminate the duality are presented.
|
[
{
"created": "Wed, 14 Nov 2001 22:20:34 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Dec 2001 08:38:23 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Nov 2003 00:02:29 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"DeWolfe",
"Oliver",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Ooguri",
"Hirosi",
""
]
] |
We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS_5 x S^5 bisected by an AdS_4 x S^2 "brane", is dual to N=4 Super Yang-Mills theory in R^4 coupled to an R^3 defect. We propose a complete Lagrangian for the field theory dual, a novel "defect superconformal field theory" wherein a subset of the fields of N=4 SYM interacts with a d=3 SU(N) fundamental hypermultiplet on the defect preserving conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped D5 modes on AdS_4 x S^2 leads to towers of short representations of OSp(4|4), and we construct the map to a set of dual gauge-invariant defect operators O_3 possessing integer conformal dimensions. Gravity calculations of <O_4> and <O_4O_3> are given. Spacetime and N-dependence matches expectations from dCFT, while the behavior as functions of lambda = g^2 N at strong and weak coupling is generically different. We comment on a class of correlators for which a non-renormalization theorem may still exist. Partial evidence for the conformality of the quantum theory is given, including a complete argument for the special case of a U(1) gauge group. Some weak coupling arguments which illuminate the duality are presented.
|
1906.07344
|
Andreas Gustavsson
|
Dongsu Bak and Andreas Gustavsson
|
Nonabelian M5-brane on $S^6_q$
|
28 pages
| null |
10.1007/JHEP07(2019)130
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the conformal anomaly of a nonabelian M5 brane on $S^1_q\times
H^5$ in the large $N$ limit by using the gravity dual of a black hole. We also
obtain a general formula for this conformal anomaly for any gauge group by
combining various results already present in the literature. From the conformal
anomaly we extract the Casimir energy on $\mathbb{R} \times S^5$. We find
agreement with the proposal in arXiv:1507.08553.
|
[
{
"created": "Tue, 18 Jun 2019 02:29:15 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Bak",
"Dongsu",
""
],
[
"Gustavsson",
"Andreas",
""
]
] |
We compute the conformal anomaly of a nonabelian M5 brane on $S^1_q\times H^5$ in the large $N$ limit by using the gravity dual of a black hole. We also obtain a general formula for this conformal anomaly for any gauge group by combining various results already present in the literature. From the conformal anomaly we extract the Casimir energy on $\mathbb{R} \times S^5$. We find agreement with the proposal in arXiv:1507.08553.
|
1112.5182
|
S. Prem Kumar
|
Benedict Fraser and S. Prem Kumar
|
Large rank Wilson loops in N=2 superconformal QCD at strong coupling
|
Typos corrected, reference added, replaced with version to appear in
JHEP (25 pages, 2 figures)
| null |
10.1007/JHEP03(2012)077
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the expectation values of circular Wilson loops in large
representations at strong coupling, in the large-N limit of the N=2
superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing
Pestun's matrix integral, we focus attention on symmetric and antisymmetric
representations with ranks of order N. We find that large rank antisymmetric
loops are independent of the coupling at strong 't Hooft coupling while
symmetric Wilson loops grow exponentially with it. Symmetric loops display a
non-analyticity as a function of the rank, characterized by the splitting of a
single matrix model eigenvalue from the continuum, bearing close resemblance to
Bose-Einstein condensation in an ideal gas. We discuss implications of these
for a putative large-N string dual. The method of calculation we adopt makes
explicit the connection to Fermi and Bose gas descriptions and also suggests a
tantalizing connection of the above system to a multichannel Kondo model.
|
[
{
"created": "Wed, 21 Dec 2011 21:35:40 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2012 14:59:43 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Fraser",
"Benedict",
""
],
[
"Kumar",
"S. Prem",
""
]
] |
We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral, we focus attention on symmetric and antisymmetric representations with ranks of order N. We find that large rank antisymmetric loops are independent of the coupling at strong 't Hooft coupling while symmetric Wilson loops grow exponentially with it. Symmetric loops display a non-analyticity as a function of the rank, characterized by the splitting of a single matrix model eigenvalue from the continuum, bearing close resemblance to Bose-Einstein condensation in an ideal gas. We discuss implications of these for a putative large-N string dual. The method of calculation we adopt makes explicit the connection to Fermi and Bose gas descriptions and also suggests a tantalizing connection of the above system to a multichannel Kondo model.
|
2104.09692
|
Francesco Toppan
|
Francesco Toppan
|
Inequivalent quantizations from gradings and ${\mathbb Z}_2\times
{\mathbb Z}_2$ parabosons
|
21 pages
|
J. Phys. A: Math. Theor. 54 (2021), 355202
|
10.1088/1751-8121/ac17a5
|
CBPF-NF-002/21
|
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper introduces the parastatistics induced by ${\mathbb Z}_2\times
{\mathbb Z}_2$-graded algebras. It accommodates four kinds of particles:
ordinary bosons and three types of parabosons which mutually anticommute when
belonging to different type (so far, in the literature, only parastatistics
induced by ${\mathbb Z}_2\times {\mathbb Z}_2$-graded superalgebras and
producing parafermions have been considered). It is shown how to detect
${\mathbb Z}_2\times {\mathbb Z}_2$-graded parabosons in the multi-particle
sector of a quantum model. The difference with respect to a system composed by
ordinary bosons is spotted by measuring some selected observables on certain
given eigenstates. The construction of the multi-particle states is made
through the appropriate braided tensor product. The application of ${\mathbb
Z}_2$- and ${\mathbb Z}_2\times {\mathbb Z}_2$- gradings produces $9$
inequivalent multi-particle Hilbert spaces of a $4\times 4$ matrix oscillator.
The ${\mathbb Z}_2\times {\mathbb Z}_2$-graded parabosonic Hilbert space is one
of them.
|
[
{
"created": "Mon, 19 Apr 2021 23:56:33 GMT",
"version": "v1"
}
] |
2021-08-17
|
[
[
"Toppan",
"Francesco",
""
]
] |
This paper introduces the parastatistics induced by ${\mathbb Z}_2\times {\mathbb Z}_2$-graded algebras. It accommodates four kinds of particles: ordinary bosons and three types of parabosons which mutually anticommute when belonging to different type (so far, in the literature, only parastatistics induced by ${\mathbb Z}_2\times {\mathbb Z}_2$-graded superalgebras and producing parafermions have been considered). It is shown how to detect ${\mathbb Z}_2\times {\mathbb Z}_2$-graded parabosons in the multi-particle sector of a quantum model. The difference with respect to a system composed by ordinary bosons is spotted by measuring some selected observables on certain given eigenstates. The construction of the multi-particle states is made through the appropriate braided tensor product. The application of ${\mathbb Z}_2$- and ${\mathbb Z}_2\times {\mathbb Z}_2$- gradings produces $9$ inequivalent multi-particle Hilbert spaces of a $4\times 4$ matrix oscillator. The ${\mathbb Z}_2\times {\mathbb Z}_2$-graded parabosonic Hilbert space is one of them.
|
1110.6825
|
Anton Rebhan
|
Anton Rebhan, Dominik Steineder
|
Violation of the Holographic Viscosity Bound in a Strongly Coupled
Anisotropic Plasma
|
4 pages, 2 figures; v3: references added, version to appear in Phys.
Rev. Lett
| null |
10.1103/PhysRevLett.108.021601
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the conductivity and shear viscosity tensors of a strongly coupled
N=4 super-Yang-Mills plasma which is kept anisotropic by a theta parameter that
depends linearly on one of the spatial dimensions. Its holographic dual is
given by an anisotropic axion-dilaton-gravity background and has recently been
proposed by Mateos and Trancanelli as a model for the pre-equilibrium stage of
quark-gluon plasma in heavy-ion collisions. By applying the membrane paradigm
which we also check by numerical evaluation of Kubo formula and lowest lying
quasinormal modes, we find that the shear viscosity purely transverse to the
direction of anisotropy saturates the holographic viscosity bound, whereas
longitudinal shear viscosities are smaller, providing the first such example
not involving higher-derivative theories of gravity and, more importantly, with
fully known gauge-gravity correspondence.
|
[
{
"created": "Mon, 31 Oct 2011 15:16:57 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Nov 2011 17:56:38 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Dec 2011 21:40:30 GMT",
"version": "v3"
}
] |
2013-05-30
|
[
[
"Rebhan",
"Anton",
""
],
[
"Steineder",
"Dominik",
""
]
] |
We study the conductivity and shear viscosity tensors of a strongly coupled N=4 super-Yang-Mills plasma which is kept anisotropic by a theta parameter that depends linearly on one of the spatial dimensions. Its holographic dual is given by an anisotropic axion-dilaton-gravity background and has recently been proposed by Mateos and Trancanelli as a model for the pre-equilibrium stage of quark-gluon plasma in heavy-ion collisions. By applying the membrane paradigm which we also check by numerical evaluation of Kubo formula and lowest lying quasinormal modes, we find that the shear viscosity purely transverse to the direction of anisotropy saturates the holographic viscosity bound, whereas longitudinal shear viscosities are smaller, providing the first such example not involving higher-derivative theories of gravity and, more importantly, with fully known gauge-gravity correspondence.
|
hep-th/9711046
|
Oyvind Tafjord
|
Oyvind Tafjord and Vipul Periwal
|
Finite-Time Amplitudes In Matrix Theory
|
12 pages, harvmac, reference added, typo corrected
|
Nucl.Phys. B517 (1998) 227-238
|
10.1016/S0550-3213(98)00118-7
|
PUPT-1739
|
hep-th
| null |
We evaluate one-loop finite-time amplitudes for graviton scattering in Matrix
theory and compare to the corresponding amplitudes in supergravity. We find
agreement for arbitrary time intervals at leading order in distance, providing
a functional agreement between supergravity and Matrix theory. At subleading
order, we find corrections to the effective potential found from previous phase
shift calculations in Matrix theory.
|
[
{
"created": "Thu, 6 Nov 1997 22:53:20 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 1997 22:29:43 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Tafjord",
"Oyvind",
""
],
[
"Periwal",
"Vipul",
""
]
] |
We evaluate one-loop finite-time amplitudes for graviton scattering in Matrix theory and compare to the corresponding amplitudes in supergravity. We find agreement for arbitrary time intervals at leading order in distance, providing a functional agreement between supergravity and Matrix theory. At subleading order, we find corrections to the effective potential found from previous phase shift calculations in Matrix theory.
|
hep-th/9307188
|
Christian Wieczerkowski
|
M. Crivelli, Giovanni Felder, C. Wieczerkowski
|
Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping
Class Group
|
15 pages
|
Lett.Math.Phys.30:71-85,1993
|
10.1007/BF00761424
|
MS-TPI-93-04
|
hep-th math.QA
| null |
We compute the mapping class group action on cycles on the configuration
space of the torus with one puncture, with coefficients in a local system
arising in conformal field theory. This action commutes with the topological
action of the quantum group $U_q(sl_2)$, and is given in vertex form.
|
[
{
"created": "Fri, 30 Jul 1993 10:23:12 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Crivelli",
"M.",
""
],
[
"Felder",
"Giovanni",
""
],
[
"Wieczerkowski",
"C.",
""
]
] |
We compute the mapping class group action on cycles on the configuration space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with the topological action of the quantum group $U_q(sl_2)$, and is given in vertex form.
|
2103.13442
|
Alon Faraggi
|
A.E. Faraggi and S. Groot Nibbelink and M. Hurtado-Heredia
|
Uncovering a Spinor-Vector Duality on a Resolved Orbifold
|
1+19 pages, LaTeX. References added. Typos corrected
| null |
10.1016/j.nuclphysb.2021.115473
|
LTH-1257
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spinor-vector dualities have been established in various exact string
realisations like orbifold and free fermionic constructions. This paper aims to
investigate possibility of having spinor-vector dualities on smooth geometries
in the context of the heterotic string. As a concrete working example the
resolution of the T4/Z2 orbifold is considered with an additional circle
supporting a Wilson line, for which it is known that the underlying orbifold
theory exhibits such a duality by switching on/off a generalised discrete
torsion phase between the orbifold twist and the Wilson line. Depending on this
phase complementary parts of the twisted sector orbifold states are projected
out, so that different blowup modes are available to generate the resolutions.
As a consequence, not only the spectra of the dual pairs are different, but
also the gauge groups are not identical making this duality less apparent on
the blowup and thus presumably on smooth geometries in general.
|
[
{
"created": "Wed, 24 Mar 2021 18:41:12 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jun 2021 16:05:08 GMT",
"version": "v2"
}
] |
2021-07-14
|
[
[
"Faraggi",
"A. E.",
""
],
[
"Nibbelink",
"S. Groot",
""
],
[
"Hurtado-Heredia",
"M.",
""
]
] |
Spinor-vector dualities have been established in various exact string realisations like orbifold and free fermionic constructions. This paper aims to investigate possibility of having spinor-vector dualities on smooth geometries in the context of the heterotic string. As a concrete working example the resolution of the T4/Z2 orbifold is considered with an additional circle supporting a Wilson line, for which it is known that the underlying orbifold theory exhibits such a duality by switching on/off a generalised discrete torsion phase between the orbifold twist and the Wilson line. Depending on this phase complementary parts of the twisted sector orbifold states are projected out, so that different blowup modes are available to generate the resolutions. As a consequence, not only the spectra of the dual pairs are different, but also the gauge groups are not identical making this duality less apparent on the blowup and thus presumably on smooth geometries in general.
|
hep-th/9607146
| null |
M. Gasperini
|
Relic gravitons from the pre-big bang: what we know and what we do not
know
|
34 pages, LATEX, 12 figures included using epsf. See also
http://www.to.infn.it/teorici/gasperini/
| null | null |
CERN-TH/96-186
|
hep-th gr-qc
| null |
I discuss the status of present knowledge about a possible background of
relic gravitons left by an early, pre-big bang cosmological epoch, whose
existence in the past of our Universe is suggested by the duality symmetries of
string theory.
|
[
{
"created": "Wed, 17 Jul 1996 17:55:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gasperini",
"M.",
""
]
] |
I discuss the status of present knowledge about a possible background of relic gravitons left by an early, pre-big bang cosmological epoch, whose existence in the past of our Universe is suggested by the duality symmetries of string theory.
|
hep-th/9712036
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Escuela de Fisica, UAZ)
|
On the importance of the normalization
|
ReVTeX file, no figures, 12pp
|
Czech.J.Phys.50:225-237,2000
|
10.1023/A:1022895923841
|
EFUAZ FT-96-39-REV
|
hep-th
| null |
We repeat the known procedure of the derivation of the set of Proca
equations. It is shown that it can be written in various forms. The importance
of the normalization is point out for the problem of the correct description of
spin-1 quantized fields. Finally, the discussion of the so-called Kalb-Ramond
field is presented.
|
[
{
"created": "Thu, 4 Dec 1997 03:59:29 GMT",
"version": "v1"
}
] |
2011-09-16
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Escuela de Fisica, UAZ"
]
] |
We repeat the known procedure of the derivation of the set of Proca equations. It is shown that it can be written in various forms. The importance of the normalization is point out for the problem of the correct description of spin-1 quantized fields. Finally, the discussion of the so-called Kalb-Ramond field is presented.
|
1512.05746
|
Joan Elias-Miro
|
J. Elias-Miro, M. Montull, M. Riembau
|
The renormalized Hamiltonian truncation method in the large $E_T$
expansion
|
JHEP version, typos fixed in Appendix and eq. (23)
| null |
10.1007/JHEP04(2016)144
| null |
hep-th cond-mat.stat-mech cond-mat.str-el hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hamiltonian Truncation Methods are a useful numerical tool to study strongly
coupled QFTs. In this work we present a new method to compute the exact
corrections, at any order, in the Hamiltonian Truncation approach presented by
Rychkov et al. in Refs. [1-3]. The method is general but as an example we
calculate the exact $g^2$ and some of the $g^3$ contributions for the $\phi^4$
theory in two dimensions. The coefficients of the local expansion calculated in
Ref. [1] are shown to be given by phase space integrals. In addition we find
new approximations to speed up the numerical calculations and implement them to
compute the lowest energy levels at strong coupling. A simple diagrammatic
representation of the corrections and various tests are also introduced.
|
[
{
"created": "Thu, 17 Dec 2015 20:09:53 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2016 19:00:36 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Apr 2016 17:32:16 GMT",
"version": "v3"
}
] |
2016-05-25
|
[
[
"Elias-Miro",
"J.",
""
],
[
"Montull",
"M.",
""
],
[
"Riembau",
"M.",
""
]
] |
Hamiltonian Truncation Methods are a useful numerical tool to study strongly coupled QFTs. In this work we present a new method to compute the exact corrections, at any order, in the Hamiltonian Truncation approach presented by Rychkov et al. in Refs. [1-3]. The method is general but as an example we calculate the exact $g^2$ and some of the $g^3$ contributions for the $\phi^4$ theory in two dimensions. The coefficients of the local expansion calculated in Ref. [1] are shown to be given by phase space integrals. In addition we find new approximations to speed up the numerical calculations and implement them to compute the lowest energy levels at strong coupling. A simple diagrammatic representation of the corrections and various tests are also introduced.
|
hep-th/0303184
|
Dmitri Antonov
|
D. Antonov (INFN, Pisa & Pisa U.) and A. Kovner (Plymouth U., Math.
Stat. Dept.)
|
SUSY 3D Georgi-Glashow model at finite temperature
|
8 pages, LaTeX2e, no figures
|
Phys.Lett. B563 (2003) 203-208
|
10.1016/S0370-2693(03)00645-2
|
IFUP-TH 2003/15
|
hep-th hep-lat hep-ph
| null |
We study the finite-temperature properties of the supersymmetric version of
(2+1)D Georgi-Glashow model. As opposed to its nonsupersymmetric counterpart,
the parity symmetry in this theory at zero temperature is spontaneously broken
by the bilinear photino condensate. We find that as the temperature is raised,
the deconfinement and the parity restoration occur in this model at the same
point $T_c=g^2/8\pi$. The transition is continuous, but is not of the Ising
type as in nonsupersymmetric Georgi-Glashow model, but rather of the
Berezinsky-Kosterlitz-Thouless type as in $Z_4$-invariant spin model.
|
[
{
"created": "Thu, 20 Mar 2003 17:41:44 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Antonov",
"D.",
"",
"INFN, Pisa & Pisa U."
],
[
"Kovner",
"A.",
"",
"Plymouth U., Math.\n Stat. Dept."
]
] |
We study the finite-temperature properties of the supersymmetric version of (2+1)D Georgi-Glashow model. As opposed to its nonsupersymmetric counterpart, the parity symmetry in this theory at zero temperature is spontaneously broken by the bilinear photino condensate. We find that as the temperature is raised, the deconfinement and the parity restoration occur in this model at the same point $T_c=g^2/8\pi$. The transition is continuous, but is not of the Ising type as in nonsupersymmetric Georgi-Glashow model, but rather of the Berezinsky-Kosterlitz-Thouless type as in $Z_4$-invariant spin model.
|
2209.14372
|
Felipe Rosso
|
Felipe Rosso
|
A Solvable Model of Flat Space Holography
|
39 pages, 4 figures
| null |
10.1007/JHEP02(2023)037
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an explicit realization of flat space holography in two dimensions
where both sides of the duality are independently defined and the boundary
theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$
flat space supergravity theory and exactly compute the full topological
expansion of its Euclidean partition function with an arbitrary number of
boundaries. On the boundary, we consider a double scaled Hermitian random
matrix model with Gaussian potential and use the loop equations to show it
independently reproduces the bulk partition function to all orders in the
topological expansion. The non-perturbative completion of the supergravity
theory provided by the solvable Gaussian matrix model allows for the exact, and
in many cases analytic, computation of observables in flat space quantum
gravity.
|
[
{
"created": "Wed, 28 Sep 2022 19:01:16 GMT",
"version": "v1"
}
] |
2023-02-22
|
[
[
"Rosso",
"Felipe",
""
]
] |
We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat space supergravity theory and exactly compute the full topological expansion of its Euclidean partition function with an arbitrary number of boundaries. On the boundary, we consider a double scaled Hermitian random matrix model with Gaussian potential and use the loop equations to show it independently reproduces the bulk partition function to all orders in the topological expansion. The non-perturbative completion of the supergravity theory provided by the solvable Gaussian matrix model allows for the exact, and in many cases analytic, computation of observables in flat space quantum gravity.
|
1901.00731
|
Ivan Arraut
|
Ivan Arraut
|
Black-Hole evaporation from the perspective of neural networks
|
4 pages, Published version
|
EPL 124 (2018) 50002
|
10.1209/0295-5075/124/50002
| null |
hep-th cond-mat.quant-gas quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the black-hole evaporation from the perspective of neural networks.
We then analyze the evolution of the Hamiltonian, finding in this way the
conditions under which the synapse connecting the neurons changes from
gravitatory to inhibitory during the evaporation process.
|
[
{
"created": "Mon, 10 Dec 2018 16:27:21 GMT",
"version": "v1"
}
] |
2019-01-04
|
[
[
"Arraut",
"Ivan",
""
]
] |
We study the black-hole evaporation from the perspective of neural networks. We then analyze the evolution of the Hamiltonian, finding in this way the conditions under which the synapse connecting the neurons changes from gravitatory to inhibitory during the evaporation process.
|
1605.06600
|
Tib\'erio de Paula Netto
|
Tiberio de Paula Netto, Ilya L. Shapiro
|
Non-local form factors for curved-space antisymmetric fields
|
Small changes, a few references added. Version accepted in PRD
|
Phys. Rev. D 94, 024040 (2016)
|
10.1103/PhysRevD.94.024040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the recent paper Buchbinder, Kirillova and Pletnev presented formal
arguments concerning quantum equivalence of free massive antisymmetric tensor
fields of second and third rank to the free Proca theory and massive scalar
field with minimal coupling to gravity, respectively. We confirm this result
using explicit covariant calculations of non-local form factors based on the
heart-kernel technique, and discuss the discontinuity of quantum contributions
in the massless limit.
|
[
{
"created": "Sat, 21 May 2016 07:20:40 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jul 2016 05:29:39 GMT",
"version": "v2"
}
] |
2016-07-27
|
[
[
"Netto",
"Tiberio de Paula",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] |
In the recent paper Buchbinder, Kirillova and Pletnev presented formal arguments concerning quantum equivalence of free massive antisymmetric tensor fields of second and third rank to the free Proca theory and massive scalar field with minimal coupling to gravity, respectively. We confirm this result using explicit covariant calculations of non-local form factors based on the heart-kernel technique, and discuss the discontinuity of quantum contributions in the massless limit.
|
2109.11394
|
Mostafa Bousder Mr
|
M. Bousder
|
Unitary description of the black hole by prime numbers
|
21 pages, 6 figures
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we study the thermofield double states of doubly-holographic
gravity in two copies of the horizons. We show that the asymptotically AdS
spacetimes describe an entangled states of a pair of CFTs based on the Farey
sequence. We propose a new technique to geometrize the black hole horizon. Our
protocol is based on the so-called Farey diagram. We construct states and
entropies to describe the unit cells on the horizon. As a result, we have
proved that the quantum states on the horizon are encoded by prime numbers.
Therefore, we found that the entropy of the code space and area law are
writtens in logarithmic form of the prime numbers. We show that the number of
connected components of the Farey sequence can build the Fermi--Dirac
distribution. To solve the information paradox problem, we find that the
Hawking radiation follows geodesic of the Farey diagram, then he turns around
and falls on the horizon. Our aim is to show that there is appearance of
several Page times, because of discontinuous emission of these radiations.
Finally, we mention the possibility to describe the quantum Hall effect by
using the Farey diagram. In this paper, we find a link between quantum
information and the theory of numbers passing through geometry.
|
[
{
"created": "Tue, 21 Sep 2021 22:44:01 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Oct 2021 19:12:52 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Nov 2021 20:58:52 GMT",
"version": "v3"
},
{
"created": "Sat, 6 Nov 2021 22:32:38 GMT",
"version": "v4"
}
] |
2021-11-09
|
[
[
"Bousder",
"M.",
""
]
] |
In this paper, we study the thermofield double states of doubly-holographic gravity in two copies of the horizons. We show that the asymptotically AdS spacetimes describe an entangled states of a pair of CFTs based on the Farey sequence. We propose a new technique to geometrize the black hole horizon. Our protocol is based on the so-called Farey diagram. We construct states and entropies to describe the unit cells on the horizon. As a result, we have proved that the quantum states on the horizon are encoded by prime numbers. Therefore, we found that the entropy of the code space and area law are writtens in logarithmic form of the prime numbers. We show that the number of connected components of the Farey sequence can build the Fermi--Dirac distribution. To solve the information paradox problem, we find that the Hawking radiation follows geodesic of the Farey diagram, then he turns around and falls on the horizon. Our aim is to show that there is appearance of several Page times, because of discontinuous emission of these radiations. Finally, we mention the possibility to describe the quantum Hall effect by using the Farey diagram. In this paper, we find a link between quantum information and the theory of numbers passing through geometry.
|
1509.00821
|
Laith Haddad
|
Laith H. Haddad
|
Quantum Berezinskii-Kosterlitz-Thouless transition in the
superconducting phase of (2+1)-dimensional quantum chromodynamics
|
12 pages, 5 figures
| null | null | null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study superconductivity in the hadron-quark mixed phase of planar quantum
chromodynamics (QCD) within the large $N$ limit of a Gross-Neveu model modified
by a repulsive vector term. At high densities, the combination of scalar
attraction and repulsive space-like part of the vector interaction squeezes
quarks into baryonic composite states, i.e., Dirac fermions with even numbers
of bosonic vortices attached. The time-like vector component induces Cooper
pairing between these Fermi surface modes. Remarkably, at zero temperature,
competition between the quark density and mass destroys superconductivity via a
Berezinskii-Kosterlitz-Thouless (BKT) phase transition driven by diverging
chiral quantum fluctuations near criticality. Dissolution of logarithmically
bound singlet diquarks is catalyzed by in-plane chiral mixing associated with
$\mathbb{Z}_2 \otimes \mathbb{Z}_2 \to \mathbb{Z}_2$ chiral symmetry breaking
of the Fermi surface into a transverse spin-polarized triplet ground state. We
calculate the QCD phase diagram for quark chemical potential above the baryon
mass based purely on Fermi surface considerations and find good agreement with
results obtained by other methods. We address similarities between our quantum
BKT transition and those found using holographic techniques.
|
[
{
"created": "Wed, 2 Sep 2015 19:04:03 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Nov 2015 05:08:45 GMT",
"version": "v2"
}
] |
2015-11-10
|
[
[
"Haddad",
"Laith H.",
""
]
] |
We study superconductivity in the hadron-quark mixed phase of planar quantum chromodynamics (QCD) within the large $N$ limit of a Gross-Neveu model modified by a repulsive vector term. At high densities, the combination of scalar attraction and repulsive space-like part of the vector interaction squeezes quarks into baryonic composite states, i.e., Dirac fermions with even numbers of bosonic vortices attached. The time-like vector component induces Cooper pairing between these Fermi surface modes. Remarkably, at zero temperature, competition between the quark density and mass destroys superconductivity via a Berezinskii-Kosterlitz-Thouless (BKT) phase transition driven by diverging chiral quantum fluctuations near criticality. Dissolution of logarithmically bound singlet diquarks is catalyzed by in-plane chiral mixing associated with $\mathbb{Z}_2 \otimes \mathbb{Z}_2 \to \mathbb{Z}_2$ chiral symmetry breaking of the Fermi surface into a transverse spin-polarized triplet ground state. We calculate the QCD phase diagram for quark chemical potential above the baryon mass based purely on Fermi surface considerations and find good agreement with results obtained by other methods. We address similarities between our quantum BKT transition and those found using holographic techniques.
|
2307.06827
|
Watse Sybesma
|
Jan de Boer, Jelle Hartong, Niels A. Obers, Watse Sybesma, Stefan
Vandoren
|
Carroll stories
|
v1: 49 pages of main text and 3 appendices. v2: Typos corrected
| null | null |
NORDITA-2023-036
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study various aspects of the Carroll limit in which the speed of light is
sent to zero. A large part of this paper is devoted to the quantization of
Carroll field theories. We show that these exhibit infinite degeneracies in the
spectrum and may suffer from non-normalizable ground states. As a consequence,
partition functions of Carroll systems are ill-defined and do not lead to
sensible thermodynamics. These seemingly pathological properties might actually
be a virtue in the context of flat space holography.
Better defined is the Carroll $\textit{regime}$, in which we consider the
leading order term in an expansion around vanishing speed of light without
taking the strict Carroll limit. Such an expansion may lead to sensible notions
of Carroll thermodynamics. An interesting example is a gas of massless
particles with an imaginary chemical potential conjugate to the momentum. In
the Carroll regime we show that the partition function of such a gas leads to
an equation of state with $w=-1$.
As a separate story, we study aspects of Carroll gravity and couplings to
Carrollian energy-momentum tensors. We discuss many examples of solutions to
Carroll gravity, including wormholes, Maxwell fields, solutions with a
cosmological constant, and discuss the structure of geodesics in a Carroll
geometry. The coupling of matter to Carroll gravity also allows us to derive
energy-momentum tensors for hypothetical Carroll fluids from expanding
relativistic fluids as well as directly from hydrostatic partition functions.
|
[
{
"created": "Thu, 13 Jul 2023 15:43:16 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2023 10:41:50 GMT",
"version": "v2"
}
] |
2023-10-24
|
[
[
"de Boer",
"Jan",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Obers",
"Niels A.",
""
],
[
"Sybesma",
"Watse",
""
],
[
"Vandoren",
"Stefan",
""
]
] |
We study various aspects of the Carroll limit in which the speed of light is sent to zero. A large part of this paper is devoted to the quantization of Carroll field theories. We show that these exhibit infinite degeneracies in the spectrum and may suffer from non-normalizable ground states. As a consequence, partition functions of Carroll systems are ill-defined and do not lead to sensible thermodynamics. These seemingly pathological properties might actually be a virtue in the context of flat space holography. Better defined is the Carroll $\textit{regime}$, in which we consider the leading order term in an expansion around vanishing speed of light without taking the strict Carroll limit. Such an expansion may lead to sensible notions of Carroll thermodynamics. An interesting example is a gas of massless particles with an imaginary chemical potential conjugate to the momentum. In the Carroll regime we show that the partition function of such a gas leads to an equation of state with $w=-1$. As a separate story, we study aspects of Carroll gravity and couplings to Carrollian energy-momentum tensors. We discuss many examples of solutions to Carroll gravity, including wormholes, Maxwell fields, solutions with a cosmological constant, and discuss the structure of geodesics in a Carroll geometry. The coupling of matter to Carroll gravity also allows us to derive energy-momentum tensors for hypothetical Carroll fluids from expanding relativistic fluids as well as directly from hydrostatic partition functions.
|
0907.4972
|
John H. Schwarz
|
John H. Schwarz
|
Recent Progress in AdS/CFT
|
11 pages
|
Int.J.Mod.Phys.A25:310-318,2010
|
10.1142/S0217751X10048639
|
CALT-68-2748
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The study of AdS/CFT (or gauge/gravity) duality has been one of the most
active and illuminating areas of research in string theory over the past
decade. The scope of its relevance and the insights it is providing seem to be
ever expanding. In this talk I briefly describe some of the attempts to explore
how the duality works for maximally supersymmetric systems.
|
[
{
"created": "Tue, 28 Jul 2009 18:15:01 GMT",
"version": "v1"
}
] |
2010-02-16
|
[
[
"Schwarz",
"John H.",
""
]
] |
The study of AdS/CFT (or gauge/gravity) duality has been one of the most active and illuminating areas of research in string theory over the past decade. The scope of its relevance and the insights it is providing seem to be ever expanding. In this talk I briefly describe some of the attempts to explore how the duality works for maximally supersymmetric systems.
|
hep-th/0003187
|
Volker Schomerus
|
A.Yu. Alekseev, A. Recknagel, V. Schomerus
|
Brane Dynamics in Background Fluxes and Non-commutative Geometry
|
25 pages
|
JHEP 0005:010,2000
|
10.1088/1126-6708/2000/05/010
|
IASSNS-HEP-00/23, AEI 2000-4
|
hep-th
| null |
Branes in non-trivial backgrounds are expected to exhibit interesting
dynamical properties. We use the boundary conformal field theory approach to
study branes in a curved background with non-vanishing Neveu-Schwarz 3-form
field strength. For branes on an $S^3$, the low-energy effective action is
computed to leading order in the string tension. It turns out to be a field
theory on a non-commutative `fuzzy 2-sphere' which consists of a Yang-Mills and
a Chern-Simons term. We find a certain set of classical solutions that have no
analogue for flat branes in Euclidean space. These solutions show, in
particular, how a spherical brane can arise as bound state from a stack of
D0-branes.
|
[
{
"created": "Tue, 21 Mar 2000 22:10:04 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2000 15:30:40 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Alekseev",
"A. Yu.",
""
],
[
"Recknagel",
"A.",
""
],
[
"Schomerus",
"V.",
""
]
] |
Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an $S^3$, the low-energy effective action is computed to leading order in the string tension. It turns out to be a field theory on a non-commutative `fuzzy 2-sphere' which consists of a Yang-Mills and a Chern-Simons term. We find a certain set of classical solutions that have no analogue for flat branes in Euclidean space. These solutions show, in particular, how a spherical brane can arise as bound state from a stack of D0-branes.
|
1110.1130
|
Shuichi Yokoyama
|
Shuichi Yokoyama
|
Index for Three Dimensional Superconformal Field Theories and Its
Applications
|
14 pages, Proceedings of the Seventh International Conference Quantum
Theory and Symmetries (QTS-7) in Prague, Czech Republic, August, 2011; v2:
minor modifications, discussion of supersymmetry enhancement of abelian ABJM
theory by using an index were added
| null |
10.1088/1742-6596/343/1/012134
|
SNUTP11-009; TIFR/TH/11-43
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review aspects of superconformal indices in three dimension. Three
dimensional superconformal indices can be exactly computed by using
localization method including monopole contribution, and can be applied to
provide evidences for mirror duality, AdS_4/CFT_3 correspondence and global
symmetry enhancement of strongly coupled gauge theories. After reviewing, we
discuss the possibility of global symmetry enhancement in a finite rank of
gauge group.
|
[
{
"created": "Thu, 6 Oct 2011 01:25:35 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Dec 2011 10:53:54 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Yokoyama",
"Shuichi",
""
]
] |
We review aspects of superconformal indices in three dimension. Three dimensional superconformal indices can be exactly computed by using localization method including monopole contribution, and can be applied to provide evidences for mirror duality, AdS_4/CFT_3 correspondence and global symmetry enhancement of strongly coupled gauge theories. After reviewing, we discuss the possibility of global symmetry enhancement in a finite rank of gauge group.
|
hep-th/0311162
|
Kirill Krasnov
|
Kirill Krasnov (AEI, Golm/Potsdam)
|
Twistors, CFT and Holography
|
21 pages, figures
| null | null | null |
hep-th
| null |
According to one of many equivalent definitions of twistors a (null) twistor
is a null geodesic in Minkowski spacetime. Null geodesics can intersect at
points (events). The idea of Penrose was to think of a spacetime point as a
derived concept: points are obtained by considering the incidence of twistors.
One needs two twistors to obtain a point. Twistor is thus a ``square root'' of
a point. In the present paper we entertain the idea of quantizing the space of
twistors. Twistors, and thus also spacetime points become operators acting in a
certain Hilbert space. The algebra of functions on spacetime becomes an
operator algebra. We are therefore led to the realm of non-commutative
geometry. This non-commutative geometry turns out to be related to conformal
field theory and holography. Our construction sheds an interesting new light on
bulk/boundary dualities.
|
[
{
"created": "Tue, 18 Nov 2003 14:31:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Krasnov",
"Kirill",
"",
"AEI, Golm/Potsdam"
]
] |
According to one of many equivalent definitions of twistors a (null) twistor is a null geodesic in Minkowski spacetime. Null geodesics can intersect at points (events). The idea of Penrose was to think of a spacetime point as a derived concept: points are obtained by considering the incidence of twistors. One needs two twistors to obtain a point. Twistor is thus a ``square root'' of a point. In the present paper we entertain the idea of quantizing the space of twistors. Twistors, and thus also spacetime points become operators acting in a certain Hilbert space. The algebra of functions on spacetime becomes an operator algebra. We are therefore led to the realm of non-commutative geometry. This non-commutative geometry turns out to be related to conformal field theory and holography. Our construction sheds an interesting new light on bulk/boundary dualities.
|
0812.3625
|
Ivan Gonzalez
|
Ivan Gonzalez, Ivan Schmidt
|
Modular application of an Integration by Fractional Expansion (IBFE)
method to multiloop Feynman diagrams
|
38 pages, 46 figures, 4 tables
|
Phys.Rev.D78:086003,2008
|
10.1103/PhysRevD.78.086003
|
USM-TH-236
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an alternative technique for evaluating multiloop Feynman
diagrams, using the integration by fractional expansion method. Here we
consider generic diagrams that contain propagators with radiative corrections
which topologically correspond to recursive constructions of bubble type
diagrams. The main idea is to reduce these subgraphs, replacing them by their
equivalent multiregion expansion. One of the main advantages of this
integration technique is that it allows to reduce massive cases with the same
degree of difficulty as in the massless case.
|
[
{
"created": "Thu, 18 Dec 2008 19:00:26 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2009 16:31:41 GMT",
"version": "v2"
}
] |
2009-09-29
|
[
[
"Gonzalez",
"Ivan",
""
],
[
"Schmidt",
"Ivan",
""
]
] |
We present an alternative technique for evaluating multiloop Feynman diagrams, using the integration by fractional expansion method. Here we consider generic diagrams that contain propagators with radiative corrections which topologically correspond to recursive constructions of bubble type diagrams. The main idea is to reduce these subgraphs, replacing them by their equivalent multiregion expansion. One of the main advantages of this integration technique is that it allows to reduce massive cases with the same degree of difficulty as in the massless case.
|
1406.0453
|
Olof Ohlsson Sax
|
Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini and Bogdan
Stefanski jr
|
The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
|
76 pages. 2 figures. v2: added references and fixed some typos
| null |
10.1007/JHEP10(2014)066
|
Imperial-TP-OOS-2014-03, HU-Mathematik-2014-11, HU-EP-14/19,
ITP-UU-14/17, SPIN-14/15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the non-perturbative worldsheet S matrix for fundamental
excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with
Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the
theory and its representations. We use these to determine the S matrix up to
scalar factors and we derive the crossing equations that these scalar factors
satisfy. Our treatment automatically includes fundamental massless excitations,
removing a long-standing obstacle in using integrability to study the
AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of
results first announced in arXiv:1403.4543.
|
[
{
"created": "Mon, 2 Jun 2014 17:41:21 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jun 2014 16:58:15 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Borsato",
"Riccardo",
""
],
[
"Sax",
"Olof Ohlsson",
""
],
[
"Sfondrini",
"Alessandro",
""
],
[
"Stefanski",
"Bogdan",
"jr"
]
] |
We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.
|
1305.1944
|
Fedor Levkovich-Maslyuk
|
Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov
|
Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
|
39 pages, 4 figures; v2: minor corrections, references added; v3:
typos fixed, references updated; v4: typos fixed
|
JHEP 1310 (2013) 036
|
10.1007/JHEP10(2013)036
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find an exact analytical solution of the Y-system describing a cusped
Wilson line in the planar limit of N=4 SYM. Our explicit solution describes
anomalous dimensions of this family of observables for any value of the `t
Hooft coupling and arbitrary R-charge L of the local operator inserted on the
cusp in a near-BPS limit. Our finding generalizes the previous results of one
of the authors & Sever and passes several nontrivial tests. First, for a
particular case L=0 we reproduce the predictions of localization techniques.
Second, we show that in the classical limit our result perfectly reproduces the
existing prediction from classical string theory. In addition, we made a
comparison with all existing weak coupling results and we found that our result
interpolates smoothly between these two very different regimes of AdS/CFT. As a
byproduct we found a generalization of the essential parts of the FiNLIE
construction for the gamma-deformed case and discuss our results in the
framework of the novel ${\bf P}\mu$-formulation of the spectral problem.
|
[
{
"created": "Wed, 8 May 2013 20:01:34 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jul 2013 16:14:21 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Nov 2014 13:57:16 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Dec 2015 17:09:11 GMT",
"version": "v4"
}
] |
2015-12-15
|
[
[
"Gromov",
"Nikolay",
""
],
[
"Levkovich-Maslyuk",
"Fedor",
""
],
[
"Sizov",
"Grigory",
""
]
] |
We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling and arbitrary R-charge L of the local operator inserted on the cusp in a near-BPS limit. Our finding generalizes the previous results of one of the authors & Sever and passes several nontrivial tests. First, for a particular case L=0 we reproduce the predictions of localization techniques. Second, we show that in the classical limit our result perfectly reproduces the existing prediction from classical string theory. In addition, we made a comparison with all existing weak coupling results and we found that our result interpolates smoothly between these two very different regimes of AdS/CFT. As a byproduct we found a generalization of the essential parts of the FiNLIE construction for the gamma-deformed case and discuss our results in the framework of the novel ${\bf P}\mu$-formulation of the spectral problem.
|
hep-th/9805115
|
Leonard Susskind
|
L. Susskind
|
Matrix Theory Black Holes and the Gross Witten Transition
|
8 pages, phyzzx
| null | null | null |
hep-th
| null |
Large N gauge theories have so called Gross-Witten phase transitions which
typically can occur in finite volume systems. In this paper we relate these
transitions in supersymmetric gauge theories to transitions that take place
between black hole solutions in general relativity. The correspondence between
gauge theory and gravitation is through matrix theory which represents the
gravitational system in terms of super Yang Mills theories on finite tori. We
also discuss a related transition that was found by Banks, Fischler, Klebanov
and Susskind.
|
[
{
"created": "Tue, 19 May 1998 03:22:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Susskind",
"L.",
""
]
] |
Large N gauge theories have so called Gross-Witten phase transitions which typically can occur in finite volume systems. In this paper we relate these transitions in supersymmetric gauge theories to transitions that take place between black hole solutions in general relativity. The correspondence between gauge theory and gravitation is through matrix theory which represents the gravitational system in terms of super Yang Mills theories on finite tori. We also discuss a related transition that was found by Banks, Fischler, Klebanov and Susskind.
|
0705.3160
|
Michael Duetsch
|
Ferdinand Brennecke and Michael Duetsch
|
Removal of violations of the Master Ward Identity in perturbative QFT
|
51 pages. v2: a few formulations improved, one reference added. v3: a
few mistakes corrected and one additional reference. v4: version to be
printed in Reviews in Mathematical Physics
|
Rev.Math.Phys.20:119-172,2008
|
10.1142/S0129055X08003237
| null |
hep-th
| null |
We study the appearance of anomalies of the Master Ward Identity, which is a
universal renormalization condition in perturbative QFT. The main insight of
the present paper is that any violation of the Master Ward Identity can be
expressed as a LOCAL interacting field; this is a version of the well-known
Quantum Action Principle of Lowenstein and Lam. Proceeding in a proper field
formalism by induction on the order in $\hbar$, this knowledge about the
structure of possible anomalies as well as techniques of algebraic
renormalization are used to remove possible anomalies by finite
renormalizations. As an example the method is applied to prove the Ward
identities of the O(N) scalar field model.
|
[
{
"created": "Tue, 22 May 2007 13:13:00 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2007 13:17:32 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Dec 2007 15:57:26 GMT",
"version": "v3"
},
{
"created": "Thu, 24 Jan 2008 08:17:46 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Brennecke",
"Ferdinand",
""
],
[
"Duetsch",
"Michael",
""
]
] |
We study the appearance of anomalies of the Master Ward Identity, which is a universal renormalization condition in perturbative QFT. The main insight of the present paper is that any violation of the Master Ward Identity can be expressed as a LOCAL interacting field; this is a version of the well-known Quantum Action Principle of Lowenstein and Lam. Proceeding in a proper field formalism by induction on the order in $\hbar$, this knowledge about the structure of possible anomalies as well as techniques of algebraic renormalization are used to remove possible anomalies by finite renormalizations. As an example the method is applied to prove the Ward identities of the O(N) scalar field model.
|
hep-th/9402141
|
Teruhiko Kawano
|
T. Kawano and Y. Kikukawa
|
On the Large Mass Limit of the Continuum Theories in Kaplan's
Formulation
|
30pages, harvmac, KUNS-1239, HE(TH)94/01. (Several comments in the
introduction and the related references are added.)
|
Phys.Rev. D50 (1994) 5365-5378
|
10.1103/PhysRevD.50.5365
| null |
hep-th hep-lat
| null |
Being inspired by Kaplan's proposal for simulating chiral fermions on a
lattice, we examine the continuum analog of his domain-wall construction for
two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional
regularization, we explicitly evaluate the one-loop effective action in the
limit that the domain-wall mass goes to infinity. For anomaly-free cases, the
effective action turns out to be gauge invariant in two-dimensional sense.
|
[
{
"created": "Fri, 25 Feb 1994 07:35:28 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Mar 1994 06:15:06 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Kawano",
"T.",
""
],
[
"Kikukawa",
"Y.",
""
]
] |
Being inspired by Kaplan's proposal for simulating chiral fermions on a lattice, we examine the continuum analog of his domain-wall construction for two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional regularization, we explicitly evaluate the one-loop effective action in the limit that the domain-wall mass goes to infinity. For anomaly-free cases, the effective action turns out to be gauge invariant in two-dimensional sense.
|
2202.06965
|
Xiaochuan Lu
|
Timothy Cohen, Nathaniel Craig, Xiaochuan Lu, Dave Sutherland
|
On-Shell Covariance of Quantum Field Theory Amplitudes
|
6 pages
| null |
10.1103/PhysRevLett.130.041603
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Scattering amplitudes in quantum field theory are independent of the field
parameterization, which has a natural geometric interpretation as a form of
`coordinate invariance.' Amplitudes can be expressed in terms of Riemannian
curvature tensors, which makes the covariance of amplitudes under
non-derivative field redefinitions manifest. We present a generalized geometric
framework that extends this manifest covariance to $all$ allowed field
redefinitions. Amplitudes satisfy a recursion relation that closely resembles
the application of covariant derivatives to increase the rank of a tensor. This
allows us to argue that (tree-level) amplitudes possess a notion of `on-shell
covariance,' in that they transform as a tensor under any allowed field
redefinition up to a set of terms that vanish when the equations of motion and
on-shell momentum constraints are imposed. We highlight a variety of immediate
applications to effective field theories.
|
[
{
"created": "Mon, 14 Feb 2022 19:00:01 GMT",
"version": "v1"
}
] |
2023-02-08
|
[
[
"Cohen",
"Timothy",
""
],
[
"Craig",
"Nathaniel",
""
],
[
"Lu",
"Xiaochuan",
""
],
[
"Sutherland",
"Dave",
""
]
] |
Scattering amplitudes in quantum field theory are independent of the field parameterization, which has a natural geometric interpretation as a form of `coordinate invariance.' Amplitudes can be expressed in terms of Riemannian curvature tensors, which makes the covariance of amplitudes under non-derivative field redefinitions manifest. We present a generalized geometric framework that extends this manifest covariance to $all$ allowed field redefinitions. Amplitudes satisfy a recursion relation that closely resembles the application of covariant derivatives to increase the rank of a tensor. This allows us to argue that (tree-level) amplitudes possess a notion of `on-shell covariance,' in that they transform as a tensor under any allowed field redefinition up to a set of terms that vanish when the equations of motion and on-shell momentum constraints are imposed. We highlight a variety of immediate applications to effective field theories.
|
1610.05638
|
Hossein Yavartanoo
|
E. \'O Colg\'ain and H. Yavartanoo
|
Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3
Geometries
|
22 pages, typos fixed, a reference and a comment added
|
Class.Quant.Grav. 34 (2017) no.9, 095008
|
10.1088/1361-6382/aa66d5
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the classification of supersymmetric locally AdS$_3$ geometries,
beyond BTZ black holes, to the Banados geometries, noting that supersymmetries
are in one-to-one correspondence with solutions to the Hill differential
condition. We show that the number of global supersymmetries is an orbit
invariant quantity and identify geometries with zero, one, two, three and four
global supersymmetries. As an application of our classification, we exploit
supersymmetry, which is preserved locally in the bulk, to determine space-like
co-dimension two surfaces in AdS$_3$. In the process, we by-pass geodesics or
mappings of AdS$_3$, neither of which have an analogue in higher dimensions, to
recover known Hubeny-Rangamani-Takayanagi surfaces. Our findings suggest
supersymmetry can be exploited to find extremal surfaces in holographic
entanglement entropy.
|
[
{
"created": "Tue, 18 Oct 2016 14:30:44 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Nov 2016 01:19:36 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Apr 2017 03:48:17 GMT",
"version": "v3"
}
] |
2017-04-25
|
[
[
"Colgáin",
"E. Ó",
""
],
[
"Yavartanoo",
"H.",
""
]
] |
We extend the classification of supersymmetric locally AdS$_3$ geometries, beyond BTZ black holes, to the Banados geometries, noting that supersymmetries are in one-to-one correspondence with solutions to the Hill differential condition. We show that the number of global supersymmetries is an orbit invariant quantity and identify geometries with zero, one, two, three and four global supersymmetries. As an application of our classification, we exploit supersymmetry, which is preserved locally in the bulk, to determine space-like co-dimension two surfaces in AdS$_3$. In the process, we by-pass geodesics or mappings of AdS$_3$, neither of which have an analogue in higher dimensions, to recover known Hubeny-Rangamani-Takayanagi surfaces. Our findings suggest supersymmetry can be exploited to find extremal surfaces in holographic entanglement entropy.
|
1504.06327
|
Piotr Sulkowski
|
Stavros Garoufalidis, Piotr Kucharski, Piotr Su{\l}kowski
|
Knots, BPS states, and algebraic curves
|
43 pages, 6 figures
|
Commun. Math. Phys. 346 (2016) 75-113
|
10.1007/s00220-016-2682-z
|
CALT-2015-021
|
hep-th math.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze relations between BPS degeneracies related to
Labastida-Marino-Ooguri-Vafa (LMOV) invariants, and algebraic curves associated
to knots. We introduce a new class of such curves that we call extremal
A-polynomials, discuss their special properties, and determine exact and
asymptotic formulas for the corresponding (extremal) BPS degeneracies. These
formulas lead to nontrivial integrality statements in number theory, as well as
to an improved integrality conjecture stronger than the known M-theory
integrality predictions. Furthermore we determine the BPS degeneracies encoded
in augmentation polynomials and show their consistency with known colored
HOMFLY polynomials. Finally we consider refined BPS degeneracies for knots,
determine them from the knowledge of super-A-polynomials, and verify their
integrality. We illustrate our results with twist knots, torus knots, and
various other knots with up to 10 crossings.
|
[
{
"created": "Thu, 23 Apr 2015 20:00:51 GMT",
"version": "v1"
}
] |
2017-05-23
|
[
[
"Garoufalidis",
"Stavros",
""
],
[
"Kucharski",
"Piotr",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We analyze relations between BPS degeneracies related to Labastida-Marino-Ooguri-Vafa (LMOV) invariants, and algebraic curves associated to knots. We introduce a new class of such curves that we call extremal A-polynomials, discuss their special properties, and determine exact and asymptotic formulas for the corresponding (extremal) BPS degeneracies. These formulas lead to nontrivial integrality statements in number theory, as well as to an improved integrality conjecture stronger than the known M-theory integrality predictions. Furthermore we determine the BPS degeneracies encoded in augmentation polynomials and show their consistency with known colored HOMFLY polynomials. Finally we consider refined BPS degeneracies for knots, determine them from the knowledge of super-A-polynomials, and verify their integrality. We illustrate our results with twist knots, torus knots, and various other knots with up to 10 crossings.
|
hep-th/9508108
|
Jorge Gamboa Rios
|
J. Gamboa
|
On the Initial Singularity Problem in Two Dimensional Quantum Cosmology
|
9pp, Revtex 3.0. New references added. To appear in Phys. Rev. D
|
Phys.Rev. D53 (1996) 6991-6994
|
10.1103/PhysRevD.53.6991
|
USACH 95/10/01
|
hep-th gr-qc
| null |
The problem of how to put interactions in two-dimensional quantum gravity in
the strong coupling regime is studied. It shows that the most general
interaction consistent with this symmetry is a Liouville term that contain two
parameters $(\alpha, \beta)$ satisfying the algebraic relation $2\beta - \alpha
=2$ in order to assure the closure of the diffeomorphism algebra. The model is
classically soluble and it contains as general solution the temporal
singularity. The theory is quantized and we show that the propagation amplitude
fall tozero in $\tau =0$. This result shows that the classical singularities
are smoothed by quantum effects and the bing-bang concept could be considered
as a classical extrapolation instead of a physical concept.
|
[
{
"created": "Tue, 22 Aug 1995 13:48:52 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Feb 1996 19:36:17 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Gamboa",
"J.",
""
]
] |
The problem of how to put interactions in two-dimensional quantum gravity in the strong coupling regime is studied. It shows that the most general interaction consistent with this symmetry is a Liouville term that contain two parameters $(\alpha, \beta)$ satisfying the algebraic relation $2\beta - \alpha =2$ in order to assure the closure of the diffeomorphism algebra. The model is classically soluble and it contains as general solution the temporal singularity. The theory is quantized and we show that the propagation amplitude fall tozero in $\tau =0$. This result shows that the classical singularities are smoothed by quantum effects and the bing-bang concept could be considered as a classical extrapolation instead of a physical concept.
|
1906.09917
|
Leonardo Santilli
|
Leonardo Santilli and Miguel Tierz
|
On $\mathrm{SQED}_{3}$ and $\mathrm{SQCD}_{3}$: phase transitions and
integrability
|
11 pages, 5 figures
|
Phys. Rev. D 100, 061702 (2019)
|
10.1103/PhysRevD.100.061702
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study supersymmetric Yang-Mills theories on the three-sphere, with massive
matter and Fayet-Iliopoulos parameter, showing second order phase transitions
for the non-Abelian theory, extending a previous result for the Abelian theory.
We study both partition functions and Wilson loops and also discuss the case of
different $R$-charges. Two interpretations of the partition function as
eigenfunctions of the $A_{1} $ and free $A_{N-1}$ hyperbolic Calogero-Moser
integrable model are given as well.
|
[
{
"created": "Mon, 24 Jun 2019 13:01:10 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Santilli",
"Leonardo",
""
],
[
"Tierz",
"Miguel",
""
]
] |
We study supersymmetric Yang-Mills theories on the three-sphere, with massive matter and Fayet-Iliopoulos parameter, showing second order phase transitions for the non-Abelian theory, extending a previous result for the Abelian theory. We study both partition functions and Wilson loops and also discuss the case of different $R$-charges. Two interpretations of the partition function as eigenfunctions of the $A_{1} $ and free $A_{N-1}$ hyperbolic Calogero-Moser integrable model are given as well.
|
hep-th/0410291
|
Jorgen Rasmussen
|
A. Belhaj, L.B. Drissi, J. Rasmussen, E.H. Saidi, A. Sebbar
|
Toric Calabi-Yau supermanifolds and mirror symmetry
|
20 pages, v2: references added
|
J.Phys.A38:6405-6418,2005
|
10.1088/0305-4470/38/28/013
| null |
hep-th
| null |
We study mirror symmetry of supermanifolds constructed as fermionic
extensions of compact toric varieties. We mainly discuss the case where the
linear sigma A-model contains as many fermionic fields as there are U(1)
factors in the gauge group. In the mirror super-Landau-Ginzburg B-model, focus
is on the bosonic structure obtained after integrating out all the fermions.
Our key observation is that there is a relation between the super-Calabi-Yau
conditions of the A-model and quasi-homogeneity of the B-model, and that the
degree of the associated superpotential in the B-model is given in terms of the
determinant of the fermion charge matrix of the A-model.
|
[
{
"created": "Fri, 29 Oct 2004 16:02:53 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Nov 2004 16:38:27 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Belhaj",
"A.",
""
],
[
"Drissi",
"L. B.",
""
],
[
"Rasmussen",
"J.",
""
],
[
"Saidi",
"E. H.",
""
],
[
"Sebbar",
"A.",
""
]
] |
We study mirror symmetry of supermanifolds constructed as fermionic extensions of compact toric varieties. We mainly discuss the case where the linear sigma A-model contains as many fermionic fields as there are U(1) factors in the gauge group. In the mirror super-Landau-Ginzburg B-model, focus is on the bosonic structure obtained after integrating out all the fermions. Our key observation is that there is a relation between the super-Calabi-Yau conditions of the A-model and quasi-homogeneity of the B-model, and that the degree of the associated superpotential in the B-model is given in terms of the determinant of the fermion charge matrix of the A-model.
|
2312.10783
|
Chandrasekhar Bhamidipati
|
Pavan Kumar Yerra, Chandrasekhar Bhamidipati and Sudipta Mukherji
|
Cardy-Verlinde formula from boundary matrix model
|
14 pages, 8 figures, 2 appendices
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Cardy-Verlinde (CV) formula relates the entropy of a conformal field theory
(CFT) in arbitrary dimensions to its total energy (with an appropriate
insertion of additional internal energy for charged systems) and Casimir
energy. While several aspects of the CV formula have been tested directly for
weakly coupled CFTs, the aim of the present paper is to verify it in the
strongly coupled regime, by employing a phenomenological matrix model, which
captures the features of the ${\cal{N}}=4$, $SU(N)$ Super Yang-Mills theory on
$S^3$ at finite temperature and chemical potential at large $N$.
|
[
{
"created": "Sun, 17 Dec 2023 18:12:42 GMT",
"version": "v1"
}
] |
2023-12-19
|
[
[
"Yerra",
"Pavan Kumar",
""
],
[
"Bhamidipati",
"Chandrasekhar",
""
],
[
"Mukherji",
"Sudipta",
""
]
] |
Cardy-Verlinde (CV) formula relates the entropy of a conformal field theory (CFT) in arbitrary dimensions to its total energy (with an appropriate insertion of additional internal energy for charged systems) and Casimir energy. While several aspects of the CV formula have been tested directly for weakly coupled CFTs, the aim of the present paper is to verify it in the strongly coupled regime, by employing a phenomenological matrix model, which captures the features of the ${\cal{N}}=4$, $SU(N)$ Super Yang-Mills theory on $S^3$ at finite temperature and chemical potential at large $N$.
|
0804.3588
|
Amilcar Queiroz Mr
|
A. P. Balachandran, A. Pinzul, A. R. Queiroz
|
Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR
Mixing
|
11 pages, 3 figures
|
Phys.Lett.B668:241-245,2008
|
10.1016/j.physletb.2008.08.052
| null |
hep-th hep-ph math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the absence of gauge fields, quantum field theories on the
Groenewold-Moyal (GM) plane are invariant under a twisted action of the
Poincare group if they are formulated following [1, 2, 3, 4, 5, 6]. In that
formulation, such theories also have no UV-IR mixing [7]. Here we investigate
UV-IR mixing in gauge theories with matter following the approach of [3, 4]. We
prove that there is UV-IR mixing in the one-loop diagram of the S-matrix
involving a coupling between gauge and matter fields on the GM plane, the gauge
field being nonabelian. There is no UV-IR mixing if it is abelian.
|
[
{
"created": "Tue, 22 Apr 2008 19:55:16 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Apr 2008 20:37:04 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Balachandran",
"A. P.",
""
],
[
"Pinzul",
"A.",
""
],
[
"Queiroz",
"A. R.",
""
]
] |
In the absence of gauge fields, quantum field theories on the Groenewold-Moyal (GM) plane are invariant under a twisted action of the Poincare group if they are formulated following [1, 2, 3, 4, 5, 6]. In that formulation, such theories also have no UV-IR mixing [7]. Here we investigate UV-IR mixing in gauge theories with matter following the approach of [3, 4]. We prove that there is UV-IR mixing in the one-loop diagram of the S-matrix involving a coupling between gauge and matter fields on the GM plane, the gauge field being nonabelian. There is no UV-IR mixing if it is abelian.
|
hep-th/0512033
|
Brian Murray
|
Stephen D. H. Hsu and Brian M. Murray
|
Thermal gravity, black holes and cosmological entropy
|
5 pages, 2 figures, RevTex. v4: to appear in Phys. Rev. D
|
Phys.Rev. D73 (2006) 044017
|
10.1103/PhysRevD.73.044017
| null |
hep-th astro-ph gr-qc hep-ph
| null |
Taking seriously the interpretation of black hole entropy as the logarithm of
the number of microstates, we argue that thermal gravitons may undergo a phase
transition to a kind of black hole condensate. The phase transition proceeds
via nucleation of black holes at a rate governed by a saddlepoint configuration
whose free energy is of order the inverse temperature in Planck units. Whether
the universe remains in a low entropy state as opposed to the high entropy
black hole condensate depends sensitively on its thermal history. Our results
may clarify an old observation of Penrose regarding the very low entropy state
of the universe.
|
[
{
"created": "Fri, 2 Dec 2005 22:50:29 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2005 23:06:51 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2005 18:41:39 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Jan 2006 23:05:41 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Hsu",
"Stephen D. H.",
""
],
[
"Murray",
"Brian M.",
""
]
] |
Taking seriously the interpretation of black hole entropy as the logarithm of the number of microstates, we argue that thermal gravitons may undergo a phase transition to a kind of black hole condensate. The phase transition proceeds via nucleation of black holes at a rate governed by a saddlepoint configuration whose free energy is of order the inverse temperature in Planck units. Whether the universe remains in a low entropy state as opposed to the high entropy black hole condensate depends sensitively on its thermal history. Our results may clarify an old observation of Penrose regarding the very low entropy state of the universe.
|
hep-th/0108203
|
Bert Schroer
|
Bert Schroer (CBPF, Rio de Janeiro)
|
Lightfront Formalism versus Holography&Chiral Scanning
|
17 pages TCILatex, misprints in formulas of appendix corrected
| null |
10.1142/9789812777850_0015
| null |
hep-th gr-qc hep-ph math-ph math.MP
| null |
The limitations of the approach based on using fields restricted to the
lightfront (Lightfront Quantization or p$\to \infty $ Frame Approach) which
drive quantum fields towards canonical and ultimately free fields are well
known. Here we propose a new concept which does not suffer from this
limitation. It is based on a procedure which cannot be directly formulated in
terms of pointlike fields but requires ``holographic'' manipulations of the
algebras generated by those fields. We illustrate the new concepts in the
setting of factorizable d=1+1 models and show that the known fact of absence of
ultraviolet problems in those models (in the presence of higher than canonical
dimensions) also passes to their holographic images. In higher spacetime
dimensions d\TEXTsymbol{>}1+1 the holographic image lacks the transversal
localizability; however this can be remedied by doing holography on d-2
additional lightfronts which share one lightray (Scanning by d-1 chiral
conformal theories).
|
[
{
"created": "Mon, 27 Aug 2001 20:28:30 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2001 20:00:59 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] |
The limitations of the approach based on using fields restricted to the lightfront (Lightfront Quantization or p$\to \infty $ Frame Approach) which drive quantum fields towards canonical and ultimately free fields are well known. Here we propose a new concept which does not suffer from this limitation. It is based on a procedure which cannot be directly formulated in terms of pointlike fields but requires ``holographic'' manipulations of the algebras generated by those fields. We illustrate the new concepts in the setting of factorizable d=1+1 models and show that the known fact of absence of ultraviolet problems in those models (in the presence of higher than canonical dimensions) also passes to their holographic images. In higher spacetime dimensions d\TEXTsymbol{>}1+1 the holographic image lacks the transversal localizability; however this can be remedied by doing holography on d-2 additional lightfronts which share one lightray (Scanning by d-1 chiral conformal theories).
|
hep-th/9709161
|
Gustavo. Dotti
|
Gustavo Dotti
|
't Hooft Conditions in Supersymmetric Dual Theories
|
9 pages, Revtex
|
Phys.Lett. B417 (1998) 275-280
|
10.1016/S0370-2693(97)01427-5
|
UCSD/PTH-29
|
hep-th
| null |
The matching of global anomalies of a supersymmetric gauge theory and its
dual is seen to follow from similarities in their classical chiral rings. These
similarities provide a formula for the dimension of the dual gauge group. As
examples we derive 't Hooft consistency conditions for the duals of
supersymmetric QCD and SU(N) theories with matter in the adjoint, and obtain
the dimension of the dual groups.
|
[
{
"created": "Sun, 21 Sep 1997 21:47:22 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Dotti",
"Gustavo",
""
]
] |
The matching of global anomalies of a supersymmetric gauge theory and its dual is seen to follow from similarities in their classical chiral rings. These similarities provide a formula for the dimension of the dual gauge group. As examples we derive 't Hooft consistency conditions for the duals of supersymmetric QCD and SU(N) theories with matter in the adjoint, and obtain the dimension of the dual groups.
|
hep-th/0210280
|
Robert Mann
|
R. Clarkson, L. Fatibene, R.B. Mann
|
Thermodynamics of $(d+1)$-dimensional NUT-charged AdS Spacetimes
|
Latex, 11 figures, 37 pages, minor latex errors corrected
|
Nucl.Phys. B652 (2003) 348-382
|
10.1016/S0550-3213(02)01143-4
|
WATPHYS-TH02/10
|
hep-th gr-qc
| null |
We consider the thermodynamic properties of $(d+1)$-dimensional spacetimes
with NUT charges. Such spacetimes are asymptotically locally anti de Sitter (or
flat), with non-trivial topology in their spatial sections, and can have fixed
point sets of the Euclidean time symmetry that are either $(d-1)$-dimensional
(called "bolts") or of lower dimensionality (pure "NUTs"). We compute the free
energy, conserved mass, and entropy for 4, 6, 8 and 10 dimensions for each,
using both Noether charge methods and the AdS/CFT-inspired counterterm
approach. We then generalize these results to arbitrary dimensionality. We find
in $4k+2$ dimensions that there are no regions in parameter space in the pure
NUT case for which the entropy and specific heat are both positive, and so all
such spacetimes are thermodynamically unstable. For the pure NUT case in $4k$
dimensions a region of stability exists in parameter space that decreases in
size with increasing dimensionality. All bolt cases have some region of
parameter space for which thermodynamic stability can be realized.
|
[
{
"created": "Tue, 29 Oct 2002 15:27:04 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2002 15:12:40 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Clarkson",
"R.",
""
],
[
"Fatibene",
"L.",
""
],
[
"Mann",
"R. B.",
""
]
] |
We consider the thermodynamic properties of $(d+1)$-dimensional spacetimes with NUT charges. Such spacetimes are asymptotically locally anti de Sitter (or flat), with non-trivial topology in their spatial sections, and can have fixed point sets of the Euclidean time symmetry that are either $(d-1)$-dimensional (called "bolts") or of lower dimensionality (pure "NUTs"). We compute the free energy, conserved mass, and entropy for 4, 6, 8 and 10 dimensions for each, using both Noether charge methods and the AdS/CFT-inspired counterterm approach. We then generalize these results to arbitrary dimensionality. We find in $4k+2$ dimensions that there are no regions in parameter space in the pure NUT case for which the entropy and specific heat are both positive, and so all such spacetimes are thermodynamically unstable. For the pure NUT case in $4k$ dimensions a region of stability exists in parameter space that decreases in size with increasing dimensionality. All bolt cases have some region of parameter space for which thermodynamic stability can be realized.
|
1412.3389
|
Graham Shore
|
Adi Armoni, Mikhail Shifman, Graham Shore and Gabriele Veneziano
|
The Quark Condensate in Multi-Flavour QCD - Planar Equivalence
Confronting Lattice Simulations
|
13 pages, 6 figures. Additional comment (sect 2) and references
| null |
10.1016/j.physletb.2014.12.035
|
CERN-PH-TH-2014-255, FTPI-MINN-14/43, UMN-TH-3414/14
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Planar equivalence between the large $N$ limits of ${\cal N}=1$ Super
Yang-Mills (SYM) theory and a variant of QCD with fermions in the antisymmetric
representation is a powerful tool to obtain analytic non-perturbative results
in QCD itself. In particular, it allows the quark condensate for $N=3$ QCD with
quarks in the fundamental representation to be inferred from exact calculations
of the gluino condensate in ${\cal N}=1$ SYM. In this paper, we review and
refine our earlier predictions for the quark condensate in QCD with a general
number $n_f$ of flavours and confront these with lattice results.
|
[
{
"created": "Wed, 10 Dec 2014 17:51:30 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Dec 2014 13:24:56 GMT",
"version": "v2"
}
] |
2018-05-09
|
[
[
"Armoni",
"Adi",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Shore",
"Graham",
""
],
[
"Veneziano",
"Gabriele",
""
]
] |
Planar equivalence between the large $N$ limits of ${\cal N}=1$ Super Yang-Mills (SYM) theory and a variant of QCD with fermions in the antisymmetric representation is a powerful tool to obtain analytic non-perturbative results in QCD itself. In particular, it allows the quark condensate for $N=3$ QCD with quarks in the fundamental representation to be inferred from exact calculations of the gluino condensate in ${\cal N}=1$ SYM. In this paper, we review and refine our earlier predictions for the quark condensate in QCD with a general number $n_f$ of flavours and confront these with lattice results.
|
hep-th/9705170
|
Natasha Saulina
|
N. A. Saulina
|
Intersecting 5-brane solution of N=1, D=10 Dual Supergravity with
\alpha' corrections
|
10 pages, no figures, Latex
|
Phys.Atom.Nucl. 61 (1998) 501-506; Yad.Fiz. 61N3 (1998) 566-571
| null |
ITEP-TH-21/97
|
hep-th
| null |
A vacuum solution of anomaly-free N=1, D=10 Dual Supergravity is constructed.
This vacuum corresponds to the presence of two 5-branes, intersecting along
M_4, and possesses N=1, D=4 supersymmetry.
|
[
{
"created": "Fri, 23 May 1997 03:14:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Saulina",
"N. A.",
""
]
] |
A vacuum solution of anomaly-free N=1, D=10 Dual Supergravity is constructed. This vacuum corresponds to the presence of two 5-branes, intersecting along M_4, and possesses N=1, D=4 supersymmetry.
|
2107.07033
|
Leslaw Rachwal
|
Les{\l}aw Rachwa{\l} and Stefano Giaccari
|
Infrared behavior of Weyl Gravity
|
40 pages, journal version, some typos corrected
|
Journal of Physics: Conference Series 1956 (2021) 012012
|
10.1088/1742-6596/1956/1/012012
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we introduce and motivate the studies of Quantum Weyl Gravity
(also known as Conformal Gravity). We discuss some appealing features of this
theory both on classical and quantum level. The construction of the quantum
theory is described in detail to the one-loop level. To facilitate computations
we use only physical degrees of freedom, which are singled out through the York
decomposition. At the one-loop level we compute the partition function around a
general Einstein space. Next, the functional renormalization group of couplings
in Quantum Weyl Gravity is investigated. We reproduce completely previous
results obtained on maximally symmetric and Ricci-flat backgrounds. Finally, we
comment on further directions and on the issue of conformal anomaly.
|
[
{
"created": "Wed, 14 Jul 2021 23:02:33 GMT",
"version": "v1"
}
] |
2021-07-16
|
[
[
"Rachwał",
"Lesław",
""
],
[
"Giaccari",
"Stefano",
""
]
] |
In this paper, we introduce and motivate the studies of Quantum Weyl Gravity (also known as Conformal Gravity). We discuss some appealing features of this theory both on classical and quantum level. The construction of the quantum theory is described in detail to the one-loop level. To facilitate computations we use only physical degrees of freedom, which are singled out through the York decomposition. At the one-loop level we compute the partition function around a general Einstein space. Next, the functional renormalization group of couplings in Quantum Weyl Gravity is investigated. We reproduce completely previous results obtained on maximally symmetric and Ricci-flat backgrounds. Finally, we comment on further directions and on the issue of conformal anomaly.
|
1007.4302
|
Umpei Miyamoto
|
Umpei Miyamoto
|
One-Dimensional Approximation of Viscous Flows
|
17 pages, 3 figures; v2: refs & comments added
|
JHEP 1010:011,2010
|
10.1007/JHEP10(2010)011
| null |
hep-th physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Attention has been paid to the similarity and duality between the
Gregory-Laflamme instability of black strings and the Rayleigh-Plateau
instability of extended fluids. In this paper, we derive a set of simple
(1+1)-dimensional equations from the Navier-Stokes equations describing thin
flows of (non-relativistic and incompressible) viscous fluids. This
formulation, a generalization of the theory of drop formation by Eggers and his
collaborators, would make it possible to examine the final fate of
Rayleigh-Plateau instability, its dimensional dependence, and possible
self-similar behaviors before and after the drop formation, in the context of
fluid/gravity correspondence.
|
[
{
"created": "Sun, 25 Jul 2010 06:52:12 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Aug 2010 03:07:21 GMT",
"version": "v2"
}
] |
2011-05-18
|
[
[
"Miyamoto",
"Umpei",
""
]
] |
Attention has been paid to the similarity and duality between the Gregory-Laflamme instability of black strings and the Rayleigh-Plateau instability of extended fluids. In this paper, we derive a set of simple (1+1)-dimensional equations from the Navier-Stokes equations describing thin flows of (non-relativistic and incompressible) viscous fluids. This formulation, a generalization of the theory of drop formation by Eggers and his collaborators, would make it possible to examine the final fate of Rayleigh-Plateau instability, its dimensional dependence, and possible self-similar behaviors before and after the drop formation, in the context of fluid/gravity correspondence.
|
2205.05693
|
Pablo Basteiro
|
Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger, Jonathan Karl,
Ren\'e Meyer, Zhuo-Yu Xian
|
Towards Explicit Discrete Holography: Aperiodic Spin Chains from
Hyperbolic Tilings
|
73 pages, 17 figures, revised version: minor changes to introduction
and conclusion, corrected typos, improved discussion section 5.4
|
SciPost Phys. 13, 103 (2022)
|
10.21468/SciPostPhys.13.5.103
| null |
hep-th cond-mat.dis-nn cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new example of discrete holography that provides a new step
towards establishing the AdS/CFT duality for discrete spaces. A class of
boundary Hamiltonians is obtained in a natural way from regular tilings of the
hyperbolic Poincar\'e disk, via an inflation rule that allows to construct the
tiling using concentric layers of tiles. The models in this class are aperiodic
spin chains, whose sequences of couplings are obtained from the bulk inflation
rule. We explicitly choose the aperiodic XXZ spin chain with spin 1/2 degrees
of freedom as an example. The properties of this model are studied by using
strong disorder renormalization group techniques, which provide a tensor
network construction for the ground state of this spin chain. This can be
regarded as discrete bulk reconstruction. Moreover we compute the entanglement
entropy in this setup in two different ways: a discretization of the
Ryu-Takayanagi formula and a generalization of the standard computation for the
boundary aperiodic Hamiltonian. For both approaches, a logarithmic growth of
the entanglement entropy in the subsystem size is identified. The coefficients,
i.e. the effective central charges, depend on the bulk discretization
parameters in both cases, albeit in a different way.
|
[
{
"created": "Wed, 11 May 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2022 15:31:53 GMT",
"version": "v2"
}
] |
2022-11-09
|
[
[
"Basteiro",
"Pablo",
""
],
[
"Di Giulio",
"Giuseppe",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Karl",
"Jonathan",
""
],
[
"Meyer",
"René",
""
],
[
"Xian",
"Zhuo-Yu",
""
]
] |
We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic Poincar\'e disk, via an inflation rule that allows to construct the tiling using concentric layers of tiles. The models in this class are aperiodic spin chains, whose sequences of couplings are obtained from the bulk inflation rule. We explicitly choose the aperiodic XXZ spin chain with spin 1/2 degrees of freedom as an example. The properties of this model are studied by using strong disorder renormalization group techniques, which provide a tensor network construction for the ground state of this spin chain. This can be regarded as discrete bulk reconstruction. Moreover we compute the entanglement entropy in this setup in two different ways: a discretization of the Ryu-Takayanagi formula and a generalization of the standard computation for the boundary aperiodic Hamiltonian. For both approaches, a logarithmic growth of the entanglement entropy in the subsystem size is identified. The coefficients, i.e. the effective central charges, depend on the bulk discretization parameters in both cases, albeit in a different way.
|
1904.02038
|
Sejin Kim
|
Nakwoo Kim and Se-Jin Kim
|
Perturbative solutions of ${\cal N}=1^*$ holography on $S^4$
|
v2: 15 pages, 2 figures, added references and discussion on gaugino
condensate etc, v3: typos corrected and comments added
|
JHEP 07 (2019) 169
|
10.1007/JHEP07(2019)169
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the recently proposed perturbative technique to solve the
supergravity BPS equations of ${\cal N}=1^*$ theories put on $S^4$. In
particular, we have calculated the coefficients of the leading quartic terms
exactly, in the expression of the universal part for the holographic free
energy as a function of the mass parameters. We also report on the coefficients
of higher order terms upto 10th order, which are computed numerically.
|
[
{
"created": "Wed, 3 Apr 2019 14:55:45 GMT",
"version": "v1"
},
{
"created": "Sun, 5 May 2019 05:06:19 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Jul 2019 22:11:19 GMT",
"version": "v3"
}
] |
2020-07-20
|
[
[
"Kim",
"Nakwoo",
""
],
[
"Kim",
"Se-Jin",
""
]
] |
We apply the recently proposed perturbative technique to solve the supergravity BPS equations of ${\cal N}=1^*$ theories put on $S^4$. In particular, we have calculated the coefficients of the leading quartic terms exactly, in the expression of the universal part for the holographic free energy as a function of the mass parameters. We also report on the coefficients of higher order terms upto 10th order, which are computed numerically.
|
1911.12358
|
Kristan Jensen
|
Jordan Cotler, Kristan Jensen
|
Emergent unitarity in de Sitter from matrix integrals
|
37 pages, 4 figures; v2: various fixes
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study Jackiw-Teitelboim gravity with positive cosmological constant as a
model for de Sitter quantum gravity. We focus on the quantum mechanics of the
model at past and future infinity. There is a Hilbert space of asymptotic
states and an infinite-time evolution operator between the far past and far
future. This evolution is not unitary, although we find that it acts unitarily
on a subspace up to non-perturbative corrections. These corrections come from
processes which involve changes in the spatial topology, including the
nucleation of baby universes. There is significant evidence that this 1+1
dimensional model is dual to a 0+0 dimensional matrix integral in the
double-scaled limit. So the bulk quantum mechanics, including the Hilbert space
and approximately unitary evolution, emerge from a classical integral. We find
that this emergence is a robust consequence of the level repulsion of
eigenvalues along with the double scaling limit, and so is rather universal in
random matrix theory.
|
[
{
"created": "Wed, 27 Nov 2019 18:58:24 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2019 18:45:30 GMT",
"version": "v2"
}
] |
2019-12-19
|
[
[
"Cotler",
"Jordan",
""
],
[
"Jensen",
"Kristan",
""
]
] |
We study Jackiw-Teitelboim gravity with positive cosmological constant as a model for de Sitter quantum gravity. We focus on the quantum mechanics of the model at past and future infinity. There is a Hilbert space of asymptotic states and an infinite-time evolution operator between the far past and far future. This evolution is not unitary, although we find that it acts unitarily on a subspace up to non-perturbative corrections. These corrections come from processes which involve changes in the spatial topology, including the nucleation of baby universes. There is significant evidence that this 1+1 dimensional model is dual to a 0+0 dimensional matrix integral in the double-scaled limit. So the bulk quantum mechanics, including the Hilbert space and approximately unitary evolution, emerge from a classical integral. We find that this emergence is a robust consequence of the level repulsion of eigenvalues along with the double scaling limit, and so is rather universal in random matrix theory.
|
hep-th/0511231
|
Andreas Wipf
|
A. Wipf, A. Kirchberg, J.D. L\"ange
|
Algebraic Solution of the Supersymmetric Hydrogen Atom
|
11 pages, 2 figures (pstricks), Proceedings of the 4th International
Symposium "Quantum Theory and Symmetries" (QTS-4), 15-21 August 2005, Varna,
Bulgaria; needs qts-proc.cls
|
Bulg.J.Phys.33:206-216,2006
| null | null |
hep-th
| null |
The N=2 supersymmetric extension of the Schr\"odinger-Hamiltonian with
1/r-potential in d dimension is constructed. The system admits a
supersymmetrized Laplace-Runge-Lenz vector which extends the rotational SO(d)
symmetry to a hidden SO(d+1) symmetry. It is used to determine the discrete
eigenvalues with their degeneracies and the corresponding bound state wave
functions.
|
[
{
"created": "Wed, 23 Nov 2005 15:32:22 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Wipf",
"A.",
""
],
[
"Kirchberg",
"A.",
""
],
[
"Länge",
"J. D.",
""
]
] |
The N=2 supersymmetric extension of the Schr\"odinger-Hamiltonian with 1/r-potential in d dimension is constructed. The system admits a supersymmetrized Laplace-Runge-Lenz vector which extends the rotational SO(d) symmetry to a hidden SO(d+1) symmetry. It is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
|
0910.1096
|
Filipe Paccetti Correia
|
Filipe Paccetti Correia
|
Hermitian Yang-Mills instantons on Calabi-Yau cones
|
17 pages
|
JHEP 0912:004,2009
|
10.1088/1126-6708/2009/12/004
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study and construct non-abelian hermitian Yang-Mills (HYM) instantons on
Calabi-Yau cones. By means of a particular isometry preserving ansatz, the HYM
equations are reduced to a novel Higgs-Yang-Mills flow on the Einstein-Kahler
base. For any 2d-dimensional Calabi-Yau cone, we find explicit solutions of the
flow equations that correspond to non-trivial SU(d) HYM instantons. These can
be regarded as deformations of the spin connection of the Calabi-Yau cone.
|
[
{
"created": "Tue, 6 Oct 2009 20:00:29 GMT",
"version": "v1"
}
] |
2010-04-15
|
[
[
"Correia",
"Filipe Paccetti",
""
]
] |
We study and construct non-abelian hermitian Yang-Mills (HYM) instantons on Calabi-Yau cones. By means of a particular isometry preserving ansatz, the HYM equations are reduced to a novel Higgs-Yang-Mills flow on the Einstein-Kahler base. For any 2d-dimensional Calabi-Yau cone, we find explicit solutions of the flow equations that correspond to non-trivial SU(d) HYM instantons. These can be regarded as deformations of the spin connection of the Calabi-Yau cone.
|
0711.3776
|
Guillaume Bossard
|
Laurent Baulieu (LPTHE), Guillaume Bossard (AEI)
|
Superconformal invariance from N=2 supersymmetry Ward identities
|
17 pages
|
JHEP0802:075,2008
|
10.1088/1126-6708/2008/02/075
| null |
hep-th
| null |
We algebraically prove the cancellation of the beta function at all order of
perturbation theory of N=2 supersymmetric gauge theories with a vanishing
one-loop beta function. The proof generalises that recently given for the N=4
case. It uses the consistent Slavnov-Taylor identities of the shadow dependent
formulation. We also demonstrate the cancellation at all orders of the
anomalous dimensions of vector and hypermultiplet one half BPS operators.
|
[
{
"created": "Fri, 23 Nov 2007 17:59:05 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2008 13:52:20 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Baulieu",
"Laurent",
"",
"LPTHE"
],
[
"Bossard",
"Guillaume",
"",
"AEI"
]
] |
We algebraically prove the cancellation of the beta function at all order of perturbation theory of N=2 supersymmetric gauge theories with a vanishing one-loop beta function. The proof generalises that recently given for the N=4 case. It uses the consistent Slavnov-Taylor identities of the shadow dependent formulation. We also demonstrate the cancellation at all orders of the anomalous dimensions of vector and hypermultiplet one half BPS operators.
|
2109.07832
|
Timothy Adamo
|
Tim Adamo, Uri Kol
|
Classical double copy at null infinity
|
44 pages, 2 figures. v2: additions to references and discussion
| null |
10.1088/1361-6382/ac635e
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give two double copy prescriptions which construct asymptotically flat
solutions in gravity from asymptotically flat gauge fields. The first
prescription applies to radiative fields, which are non-linear vacuum solutions
determined by characteristic data at null infinity. For any two such radiative
gauge fields (linear or non-linear), the characteristic data of a radiative
metric, dilaton and axion is constructed by a simple `squaring' procedure,
giving a classical double copy at the level of radiation fields. We demonstrate
the procedure with several examples where the characteristic data can be
explicitly integrated; for linear fields this also sheds light on the
twistorial description of Weyl double copy. Our second prescription applies to
all asymptotically flat fields at the level of their asymptotic equations of
motion: we give a map between any solution of the asymptotic Maxwell equations
and any solution of the asymptotic Einstein equations at null infinity. This
also extends to the asymptotic charges and their duals, preserves the soft and
hard sectors between gauge theory and gravity, and is related to the usual
notion of double copy in scattering amplitudes.
|
[
{
"created": "Thu, 16 Sep 2021 09:51:45 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 2021 02:19:25 GMT",
"version": "v2"
}
] |
2022-05-25
|
[
[
"Adamo",
"Tim",
""
],
[
"Kol",
"Uri",
""
]
] |
We give two double copy prescriptions which construct asymptotically flat solutions in gravity from asymptotically flat gauge fields. The first prescription applies to radiative fields, which are non-linear vacuum solutions determined by characteristic data at null infinity. For any two such radiative gauge fields (linear or non-linear), the characteristic data of a radiative metric, dilaton and axion is constructed by a simple `squaring' procedure, giving a classical double copy at the level of radiation fields. We demonstrate the procedure with several examples where the characteristic data can be explicitly integrated; for linear fields this also sheds light on the twistorial description of Weyl double copy. Our second prescription applies to all asymptotically flat fields at the level of their asymptotic equations of motion: we give a map between any solution of the asymptotic Maxwell equations and any solution of the asymptotic Einstein equations at null infinity. This also extends to the asymptotic charges and their duals, preserves the soft and hard sectors between gauge theory and gravity, and is related to the usual notion of double copy in scattering amplitudes.
|
2012.02479
|
Chris White
|
Chris D. White
|
A Twistorial Foundation for the Classical Double Copy
|
6 pages, no figures
|
Phys. Rev. Lett. 126, 061602 (2021)
|
10.1103/PhysRevLett.126.061602
|
QMUL-PH-20-32
|
hep-th gr-qc hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The classical double copy relates exact solutions of gauge, gravity and other
theories. Although widely studied, its origins and domain of applicability have
remained mysterious. In this letter, we show that a particular incarnation -
the Weyl double copy - can be derived using well-established ideas from twistor
theory. As well as explaining where the Weyl double copy comes from, the
twistor formalism also shows that it is more general than previously thought.
|
[
{
"created": "Fri, 4 Dec 2020 09:15:48 GMT",
"version": "v1"
}
] |
2021-02-17
|
[
[
"White",
"Chris D.",
""
]
] |
The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the Weyl double copy - can be derived using well-established ideas from twistor theory. As well as explaining where the Weyl double copy comes from, the twistor formalism also shows that it is more general than previously thought.
|
hep-th/9712032
|
Matthias Burkardt
|
M. Burkardt (NMSU) and K. Harada (Kyushu U.)
|
Theta Dependence of Meson Masses in the Small Mass Limit of the Massive
Schwinger Model
|
6 pages, revtex, 1 ps figure
|
Phys.Rev.D57:5950-5954,1998
|
10.1103/PhysRevD.57.5950
|
KYUSHU-HET-41
|
hep-th
| null |
We present a continuum formulation for $\theta$-vacua in the massive
Schwinger model on the light-front, where $\theta$ enters as a background
electric field. The effective coupling of the external field is partially
screened due to vacuum polarization processes. For small fermion masses and
small $\theta$ we calculate the mass of the meson and find agreement with
results from bosonization.
|
[
{
"created": "Wed, 3 Dec 1997 15:53:41 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Burkardt",
"M.",
"",
"NMSU"
],
[
"Harada",
"K.",
"",
"Kyushu U."
]
] |
We present a continuum formulation for $\theta$-vacua in the massive Schwinger model on the light-front, where $\theta$ enters as a background electric field. The effective coupling of the external field is partially screened due to vacuum polarization processes. For small fermion masses and small $\theta$ we calculate the mass of the meson and find agreement with results from bosonization.
|
1911.02554
|
Nicol\'as Grandi
|
Carlos R. Arg\"uelles, Tob\'ias Canavesi, Manuel D\'iaz, and Nicol\'as
Grandi
|
Thermodynamic instabilities in holographic neutron stars at finite
temperature
|
29 pages, 8 figures. Replaced by published version
|
Class. Quantum Grav. (2020) 37 205002
|
10.1088/1361-6382/abb1f5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thermodynamics of a self-gravitating system of neutral fermions
at finite temperature and analyze its backreaction in an asymptotically AdS
space. We evaluate numerically the free entropy as a function of temperature,
and perform a stability analysis applying the simple and powerful graphical
method referred as the Katz criterion. We found that for highly-enough
degenerate fermionic solutions, the onset of thermodynamic instability arises,
though prior to the turning point on the mass as a function of the central
density. Our results for finite temperature fermions provide a novel and more
general way to study the confinement to deconfinement phase transition in the
holographic field theory, generalizing former conclusions developed for systems
at zero temperature.
|
[
{
"created": "Wed, 6 Nov 2019 18:48:38 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Nov 2019 21:12:18 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jan 2021 00:37:45 GMT",
"version": "v3"
}
] |
2021-01-07
|
[
[
"Argüelles",
"Carlos R.",
""
],
[
"Canavesi",
"Tobías",
""
],
[
"Díaz",
"Manuel",
""
],
[
"Grandi",
"Nicolás",
""
]
] |
We study the thermodynamics of a self-gravitating system of neutral fermions at finite temperature and analyze its backreaction in an asymptotically AdS space. We evaluate numerically the free entropy as a function of temperature, and perform a stability analysis applying the simple and powerful graphical method referred as the Katz criterion. We found that for highly-enough degenerate fermionic solutions, the onset of thermodynamic instability arises, though prior to the turning point on the mass as a function of the central density. Our results for finite temperature fermions provide a novel and more general way to study the confinement to deconfinement phase transition in the holographic field theory, generalizing former conclusions developed for systems at zero temperature.
|
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