id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1002.0488 | Liu Zhao | Liu Zhao | Hidden symmetries for thermodynamics and emergence of relativity | V1: 4 pages, comments/criticisms welcomed; V2: references added; V3:
typos and minor corrections? V4? substantial changes in Section 3 and other
parts made | Commun. Theore. Phys. Vol.54, No.4 (2010) pp641-646 | 10.1088/0253-6102/54/4/11 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Erik Verlinde recently proposed an idea about the thermodynamic origin of
gravity. Though this is a beautiful idea which may resolve many long standing
problems in the theories of gravity, it also raises many other problems. In
this article I will comment on some of the problems of Verlinde's proposal with
special emphasis on the thermodynamical origin of the principle of relativity.
It is found that there is a large group of hidden symmetries of thermodynamics
which contains the Poincare group of the spacetime for which space is emergent.
This explains the thermodynamic origin of the principle of relativity.
| [
{
"created": "Tue, 2 Feb 2010 16:26:17 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2010 14:00:01 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Feb 2010 14:10:51 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Apr 2010 09:34:55 GMT",
"version": "v4"
}
] | 2015-05-18 | [
[
"Zhao",
"Liu",
""
]
] | Erik Verlinde recently proposed an idea about the thermodynamic origin of gravity. Though this is a beautiful idea which may resolve many long standing problems in the theories of gravity, it also raises many other problems. In this article I will comment on some of the problems of Verlinde's proposal with special emphasis on the thermodynamical origin of the principle of relativity. It is found that there is a large group of hidden symmetries of thermodynamics which contains the Poincare group of the spacetime for which space is emergent. This explains the thermodynamic origin of the principle of relativity. |
1706.01607 | Jaewon Song | Jaewon Song, Dan Xie, Wenbin Yan | Vertex operator algebras of Argyres-Douglas theories from M5-branes | 35 pages, 1 figure, v2: minor corrections, referenced added | null | 10.1007/JHEP12(2017)123 | KIAS-P17032 | hep-th math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study aspects of the vertex operator algebra (VOA) corresponding to
Argyres-Douglas (AD) theories engineered using the 6d N=(2, 0) theory of type
$J$ on a punctured sphere. We denote the AD theories as $(J^b[k],Y)$, where
$J^b[k]$ and $Y$ represent an irregular and a regular singularity respectively.
We restrict to the `minimal' case where $J^b[k]$ has no associated mass
parameters, and the theory does not admit any exactly marginal deformations.
The VOA corresponding to the AD theory is conjectured to be the W-algebra
$\mathcal{W}^{k_{2d}}(J,Y)$, where $k_{2d}=-h+ \frac{b}{b+k}$ with $h$ being
the dual Coxeter number of $J$. We verify this conjecture by showing that the
Schur index of the AD theory is identical to the vacuum character of the
corresponding VOA, and the Hall-Littlewood index computes the Hilbert series of
the Higgs branch. We also find that the Schur and Hall-Littlewood index for the
AD theory can be written in a simple closed form for $b=h$. We also test the
conjecture that the associated variety of such VOA is identical to the Higgs
branch. The M5-brane construction of these theories and the corresponding TQFT
structure of the index play a crucial role in our computations.
| [
{
"created": "Tue, 6 Jun 2017 05:01:03 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Dec 2017 00:47:48 GMT",
"version": "v2"
}
] | 2018-01-17 | [
[
"Song",
"Jaewon",
""
],
[
"Xie",
"Dan",
""
],
[
"Yan",
"Wenbin",
""
]
] | We study aspects of the vertex operator algebra (VOA) corresponding to Argyres-Douglas (AD) theories engineered using the 6d N=(2, 0) theory of type $J$ on a punctured sphere. We denote the AD theories as $(J^b[k],Y)$, where $J^b[k]$ and $Y$ represent an irregular and a regular singularity respectively. We restrict to the `minimal' case where $J^b[k]$ has no associated mass parameters, and the theory does not admit any exactly marginal deformations. The VOA corresponding to the AD theory is conjectured to be the W-algebra $\mathcal{W}^{k_{2d}}(J,Y)$, where $k_{2d}=-h+ \frac{b}{b+k}$ with $h$ being the dual Coxeter number of $J$. We verify this conjecture by showing that the Schur index of the AD theory is identical to the vacuum character of the corresponding VOA, and the Hall-Littlewood index computes the Hilbert series of the Higgs branch. We also find that the Schur and Hall-Littlewood index for the AD theory can be written in a simple closed form for $b=h$. We also test the conjecture that the associated variety of such VOA is identical to the Higgs branch. The M5-brane construction of these theories and the corresponding TQFT structure of the index play a crucial role in our computations. |
0704.0737 | Marcus Berg | Marcus Berg, Michael Haack, Enrico Pajer | Jumping Through Loops: On Soft Terms from Large Volume Compactifications | 57 pages | JHEP0709:031,2007 | 10.1088/1126-6708/2007/09/031 | AEI-2007-020, LMU-ASC-21/07 | hep-th | null | We subject the phenomenologically successful large volume scenario of
hep-th/0502058 to a first consistency check in string theory. In particular, we
consider whether the expansion of the string effective action is consistent in
the presence of D-branes and O-planes. Due to the no-scale structure at
tree-level, the scenario is surprisingly robust. We compute the modification of
soft supersymmetry breaking terms, and find only subleading corrections. We
also comment that for large-volume limits of toroidal orientifolds and fibered
Calabi-Yau manifolds the corrections can be more important, and we discuss
further checks that need to be performed.
| [
{
"created": "Thu, 5 Apr 2007 15:15:26 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2007 15:14:28 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Berg",
"Marcus",
""
],
[
"Haack",
"Michael",
""
],
[
"Pajer",
"Enrico",
""
]
] | We subject the phenomenologically successful large volume scenario of hep-th/0502058 to a first consistency check in string theory. In particular, we consider whether the expansion of the string effective action is consistent in the presence of D-branes and O-planes. Due to the no-scale structure at tree-level, the scenario is surprisingly robust. We compute the modification of soft supersymmetry breaking terms, and find only subleading corrections. We also comment that for large-volume limits of toroidal orientifolds and fibered Calabi-Yau manifolds the corrections can be more important, and we discuss further checks that need to be performed. |
1904.08404 | Stefano Baiguera | Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli and Silvia Penati | Renormalization properties of a Galilean Wess-Zumino model | 41 pages, 21 figures; v2: references added | null | 10.1007/JHEP06(2019)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a Galilean N=2 supersymmetric theory in 2+1 dimensions with
F-term couplings, obtained by null reduction of a relativistic Wess-Zumino
model. We compute quantum corrections and we check that, as for the
relativistic parent theory, the F-term does not receive quantum corrections.
Even more, we find evidence that the causal structure of the non-relativistic
dynamics together with particle number conservation constrain the theory to be
one-loop exact.
| [
{
"created": "Wed, 17 Apr 2019 17:59:19 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2019 16:39:26 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Auzzi",
"Roberto",
""
],
[
"Baiguera",
"Stefano",
""
],
[
"Nardelli",
"Giuseppe",
""
],
[
"Penati",
"Silvia",
""
]
] | We consider a Galilean N=2 supersymmetric theory in 2+1 dimensions with F-term couplings, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent theory, the F-term does not receive quantum corrections. Even more, we find evidence that the causal structure of the non-relativistic dynamics together with particle number conservation constrain the theory to be one-loop exact. |
1504.03324 | Sean A. Hartnoll | Sean A. Hartnoll, David M. Ramirez and Jorge E. Santos | Emergent scale invariance of disordered horizons | 1+22 pages. 4 figures | null | 10.1007/JHEP09(2015)160 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct planar black hole solutions in AdS_3 and AdS_4 in which the
boundary CFT is perturbed by marginally relevant quenched disorder. We show
that the entropy density of the horizon has the scaling temperature dependence
s \sim T^{(d-1)/z} (with d=2,3). The dynamical critical exponent z is computed
numerically and, at weak disorder, analytically. These results lend support to
the claim that the perturbed CFT flows to a disordered quantum critical theory
in the IR.
| [
{
"created": "Mon, 13 Apr 2015 20:00:46 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Hartnoll",
"Sean A.",
""
],
[
"Ramirez",
"David M.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | We construct planar black hole solutions in AdS_3 and AdS_4 in which the boundary CFT is perturbed by marginally relevant quenched disorder. We show that the entropy density of the horizon has the scaling temperature dependence s \sim T^{(d-1)/z} (with d=2,3). The dynamical critical exponent z is computed numerically and, at weak disorder, analytically. These results lend support to the claim that the perturbed CFT flows to a disordered quantum critical theory in the IR. |
2405.11042 | Christopher Pope | C.N. Pope, D.O. Rohrer and B.F. Whiting | On The Perturbations of Gibbons-Maeda Black Holes in
Einstein-Maxwell-Dilaton Theories | 43 pages | null | null | MI-HET-832 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of perturbations around black hole backgrounds in general
relativity and Einstein-Maxwell theory has a long history, going back to the
work of Regge and Wheeler in the 1950s. As part of a broader investigation of
perturbations around black holes in supergravity, we describe here our results
for the perturbations around the Gibbons-Maeda static charged black holes in a
class of Einstein-Maxwell-Dilaton theories. Our analysis follows the general
strategy developed by Chandrasekhar and Xanthopoulos for the perturbations of
the Reissner-Nordstr\"om black hole. Here, the analysis is considerably more
involved, because of the presence of the dilaton field, which couples to the
other polar modes. We nonetheless find that the problem is completely solvable,
in the sense that one can separate variables and eventually describe all the
perturbations in terms of diagonalised second-order radial equations. We are
able to prove the mode stability of all the Gibbons-Maeda black hole solutions.
| [
{
"created": "Fri, 17 May 2024 18:36:49 GMT",
"version": "v1"
}
] | 2024-05-21 | [
[
"Pope",
"C. N.",
""
],
[
"Rohrer",
"D. O.",
""
],
[
"Whiting",
"B. F.",
""
]
] | The study of perturbations around black hole backgrounds in general relativity and Einstein-Maxwell theory has a long history, going back to the work of Regge and Wheeler in the 1950s. As part of a broader investigation of perturbations around black holes in supergravity, we describe here our results for the perturbations around the Gibbons-Maeda static charged black holes in a class of Einstein-Maxwell-Dilaton theories. Our analysis follows the general strategy developed by Chandrasekhar and Xanthopoulos for the perturbations of the Reissner-Nordstr\"om black hole. Here, the analysis is considerably more involved, because of the presence of the dilaton field, which couples to the other polar modes. We nonetheless find that the problem is completely solvable, in the sense that one can separate variables and eventually describe all the perturbations in terms of diagonalised second-order radial equations. We are able to prove the mode stability of all the Gibbons-Maeda black hole solutions. |
hep-th/0005168 | Murat Gunaydin | Murat Gunaydin | AdS/CFT Dualities and the Unitary Representations of Non-compact Groups
and Supergroups: Wigner versus Dirac | Latex file, 19 pages | null | null | null | hep-th | null | I review the relationship between AdS/CFT (anti-de Sitter / conformal field
theory) dualities and the general theory of positive energy unitary
representations of non-compact space-time groups and supergroups. I show, in
particular, how one can go from the manifestly unitary compact basis of the
lowest weight (positive energy) representations of the conformal group (Wigner
picture) to the manifestly covariant coherent state basis (Dirac picture). The
coherent states labelled by the space-time coordinates correspond to covariant
fields with a definite conformal dimension. These results extend to higher
dimensional Minkowskian spacetimes as well as generalized spacetimes defined by
Jordan algebras and Jordan triple systems. The second part of my talk discusses
the extension of the above results to conformal supergroups of Minkowskian
superspaces as well as of generalized superspaces defined by Jordan
superalgebras. The (super)-oscillator construction of generalized
(super)-conformal groups can be given a dynamical realization in terms of
generalized (super)-twistor fields.
| [
{
"created": "Thu, 18 May 2000 10:11:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gunaydin",
"Murat",
""
]
] | I review the relationship between AdS/CFT (anti-de Sitter / conformal field theory) dualities and the general theory of positive energy unitary representations of non-compact space-time groups and supergroups. I show, in particular, how one can go from the manifestly unitary compact basis of the lowest weight (positive energy) representations of the conformal group (Wigner picture) to the manifestly covariant coherent state basis (Dirac picture). The coherent states labelled by the space-time coordinates correspond to covariant fields with a definite conformal dimension. These results extend to higher dimensional Minkowskian spacetimes as well as generalized spacetimes defined by Jordan algebras and Jordan triple systems. The second part of my talk discusses the extension of the above results to conformal supergroups of Minkowskian superspaces as well as of generalized superspaces defined by Jordan superalgebras. The (super)-oscillator construction of generalized (super)-conformal groups can be given a dynamical realization in terms of generalized (super)-twistor fields. |
2205.12290 | Vasilii Pushkarev | Dmitry S. Ageev, Aleksandr I. Belokon, Vasilii V. Pushkarev | From locality to irregularity: Introducing local quenches in massive
scalar field theory | v1: 46 pages, 13 figures; v2: 46 pages, 13 figures, references added,
typos corrected; v3: 48 pages, 16 figures, details added, references added,
typos corrected | null | 10.1007/JHEP05(2023)188 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we initiate the study of operator local quenches in
non-conformal field theories. We consider the dynamics of excited local states
in massive scalar field theory in an arbitrary spacetime dimension and
generalize the well-known two-dimensional CFT results. We derive the energy
density, $U(1)$-charge density and $\phi^2(x)$-condensate post-quench dynamics,
and identify different regimes of their evolution depending on the values of
the field mass and the quench regularization parameter. For local quenches in
higher-dimensional free massless scalar theories, we reproduce the structure of
the available holographic results. We also investigate the local quenches in
massive scalar field theory on a cylinder and show that they cause an erratic
and chaotic-like evolution of observables with a complicated
localization/delocalization pattern.
| [
{
"created": "Tue, 24 May 2022 18:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 2022 17:37:39 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Mar 2023 15:36:52 GMT",
"version": "v3"
}
] | 2023-06-14 | [
[
"Ageev",
"Dmitry S.",
""
],
[
"Belokon",
"Aleksandr I.",
""
],
[
"Pushkarev",
"Vasilii V.",
""
]
] | In this paper, we initiate the study of operator local quenches in non-conformal field theories. We consider the dynamics of excited local states in massive scalar field theory in an arbitrary spacetime dimension and generalize the well-known two-dimensional CFT results. We derive the energy density, $U(1)$-charge density and $\phi^2(x)$-condensate post-quench dynamics, and identify different regimes of their evolution depending on the values of the field mass and the quench regularization parameter. For local quenches in higher-dimensional free massless scalar theories, we reproduce the structure of the available holographic results. We also investigate the local quenches in massive scalar field theory on a cylinder and show that they cause an erratic and chaotic-like evolution of observables with a complicated localization/delocalization pattern. |
hep-th/0609097 | Donald Coyne | D. G. Coyne and D. C. Cheng | Quantization of Black Holes in the Shielded Strong Gravity Scenario (I.
Neutral Scalar States) | 21 pages, 8 figures, pdf | null | null | null | hep-th gr-qc | null | A previously used quantization mechanism is applied to the continuous states
of the shielded strong gravity scenario (hep-th/0602183), yielding two types of
spectra for uncharged black hole scalars. Each yields the general morphology
for states expected in this scenario at LHC and at arbitrarily higher energies,
once the parameters are determined by the two lowest-lying scalar states. A
particularized example for the preferred type of quantization is numerically
evaluated.
| [
{
"created": "Wed, 13 Sep 2006 22:25:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Coyne",
"D. G.",
""
],
[
"Cheng",
"D. C.",
""
]
] | A previously used quantization mechanism is applied to the continuous states of the shielded strong gravity scenario (hep-th/0602183), yielding two types of spectra for uncharged black hole scalars. Each yields the general morphology for states expected in this scenario at LHC and at arbitrarily higher energies, once the parameters are determined by the two lowest-lying scalar states. A particularized example for the preferred type of quantization is numerically evaluated. |
2111.01839 | Michael Gutperle | Kevin Chen, Michael Gutperle and Charlie Hultgreen-Mena | Janus and RG-flow interfaces in three-dimensional gauged supergravity | 23 pages, pdfLaTeX, 3 figures, v2 minor changes, added references | null | 10.1007/JHEP03(2022)057 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we construct Janus-type solutions of three-dimensional gauged
supergravity with sixteen supersymmetries. We find solutions which correspond
to interfaces between the same CFT on both sides, as well as RG-flow interfaces
between CFTs with different numbers of supersymmetries and central charges. The
solutions are obtained by solving the flow equations derived from the
supersymmetry variations, and they preserve some fraction of the
supersymmetries of the $\AdS_3$ vacua.
| [
{
"created": "Tue, 2 Nov 2021 18:55:38 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Feb 2022 04:55:10 GMT",
"version": "v2"
}
] | 2022-03-30 | [
[
"Chen",
"Kevin",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Hultgreen-Mena",
"Charlie",
""
]
] | In this paper, we construct Janus-type solutions of three-dimensional gauged supergravity with sixteen supersymmetries. We find solutions which correspond to interfaces between the same CFT on both sides, as well as RG-flow interfaces between CFTs with different numbers of supersymmetries and central charges. The solutions are obtained by solving the flow equations derived from the supersymmetry variations, and they preserve some fraction of the supersymmetries of the $\AdS_3$ vacua. |
hep-th/9602124 | Jorge Russo | J.G. Russo | Model of black hole evolution | 9 pages, harvmac, 3 figures, minor additions | Phys.Rev. D55 (1997) 871-877 | 10.1103/PhysRevD.55.871 | CERN-TH/96-33 | hep-th gr-qc | null | From the postulate that a black hole can be replaced by a boundary on the
apparent horizon with suitable boundary conditions, an unconventional scenario
for the evolution emerges. Only an insignificant fraction of energy of order
$(mG)^{-1}$ is radiated out. The outgoing wave carries a very small part of the
quantum mechanical information of the collapsed body, the bulk of the
information remaining in the final stable black hole geometry.
| [
{
"created": "Thu, 22 Feb 1996 16:38:06 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 1996 15:48:12 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Russo",
"J. G.",
""
]
] | From the postulate that a black hole can be replaced by a boundary on the apparent horizon with suitable boundary conditions, an unconventional scenario for the evolution emerges. Only an insignificant fraction of energy of order $(mG)^{-1}$ is radiated out. The outgoing wave carries a very small part of the quantum mechanical information of the collapsed body, the bulk of the information remaining in the final stable black hole geometry. |
hep-th/9605016 | Juan Maldacena | Juan M. Maldacena (Princeton University) | Statistical Entropy of Near Extremal Five-branes | 8 pages, uses harvmac | Nucl.Phys. B477 (1996) 168-174 | 10.1016/0550-3213(96)00368-9 | PUPT-1621 | hep-th | null | The Hawking Beckenstein entropy of near extremal fivebranes is calculated in
terms of a gas of strings living on the fivebrane. These fivebranes can also be
viewed as near extremal black holes in five dimensions.
| [
{
"created": "Fri, 3 May 1996 03:20:09 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Maldacena",
"Juan M.",
"",
"Princeton University"
]
] | The Hawking Beckenstein entropy of near extremal fivebranes is calculated in terms of a gas of strings living on the fivebrane. These fivebranes can also be viewed as near extremal black holes in five dimensions. |
hep-th/0002049 | Iver H. Brevik | I. Brevik and T. A. Yousef | Finite Temperature Casimir Effect for a Dilute Ball Satisfying $\epsilon
\mu=1$ | 18 pages, 5 eps figures; minor extensions of the discussion in sect.
3; 5 new references. To appear in J. Phys. A: Math. Gen | J.Phys.A33:5819-5832,2000 | 10.1088/0305-4470/33/33/303 | null | hep-th quant-ph | null | The finite temperature Casimir free energy is calculated for a dielectric
ball of radius $a$ embedded in an infinite medium. The condition
$\epsilon\mu=1$ is assumed for the inside/outside regions. Both the Green
function method and the mode summation method are considered, and found to be
equivalent. For a dilute medium we find, assuming a simple "square" dispersion
relation with an abrupt cutoff at imaginary frequency $\hat \omega= \omega_0$,
the high temperature Casimir free energy to be negative and proportional to
$x_0 \equiv \omega_0 a$. Also, a physically more realistic dispersion relation
involving spatial dispersion is considered, and is shown to lead to comparable
results.
| [
{
"created": "Mon, 7 Feb 2000 12:40:29 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2000 11:21:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brevik",
"I.",
""
],
[
"Yousef",
"T. A.",
""
]
] | The finite temperature Casimir free energy is calculated for a dielectric ball of radius $a$ embedded in an infinite medium. The condition $\epsilon\mu=1$ is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple "square" dispersion relation with an abrupt cutoff at imaginary frequency $\hat \omega= \omega_0$, the high temperature Casimir free energy to be negative and proportional to $x_0 \equiv \omega_0 a$. Also, a physically more realistic dispersion relation involving spatial dispersion is considered, and is shown to lead to comparable results. |
2301.00123 | Dimitrios Giataganas | Dimitrios Giataganas | Velocity Laws for Bound States in Asymptotically AdS Geometries | 18 pages | null | 10.1002/prop.202300030 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behavior of heavy quark bound states in moving plasmas that are
dual to theories with generic non-trivial renormalization group flows
interpolating between an AdS geometry in the ultraviolet and infrared fixed
points with broken symmetries. We investigate analytically the observables
associated with the bound state and find their scaling exponents with respect
to the Lorentz factor for ultrarelativistic motion. Despite having
asymptotically an AdS geometry, the scaling is not universal and depends on
geometric conditions of the Fefferman-Graham expansion in the near boundary
regime, or equivalently on the order of the asymptotic background expansion
that provides the leading contributions to the Wilson loops.
| [
{
"created": "Sat, 31 Dec 2022 04:49:55 GMT",
"version": "v1"
}
] | 2023-05-10 | [
[
"Giataganas",
"Dimitrios",
""
]
] | We study the behavior of heavy quark bound states in moving plasmas that are dual to theories with generic non-trivial renormalization group flows interpolating between an AdS geometry in the ultraviolet and infrared fixed points with broken symmetries. We investigate analytically the observables associated with the bound state and find their scaling exponents with respect to the Lorentz factor for ultrarelativistic motion. Despite having asymptotically an AdS geometry, the scaling is not universal and depends on geometric conditions of the Fefferman-Graham expansion in the near boundary regime, or equivalently on the order of the asymptotic background expansion that provides the leading contributions to the Wilson loops. |
hep-th/0508062 | Armen Nersessian | Levon Mardoyan and Armen Nersessian | Oscillator potential for the four-dimensional Hall effect | 4 pages | Phys.Rev. B72 (2005) 233303 | 10.1103/PhysRevB.72.233303 | null | hep-th cond-mat.mes-hall quant-ph | null | We suggest the exactly solvable model of oscillator on the four-dimensional
sphere interacting with the SU(2) Yang monopole. We show, that the properties
of the model essentially depend on the monopole charge.
| [
{
"created": "Tue, 9 Aug 2005 15:25:50 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Mardoyan",
"Levon",
""
],
[
"Nersessian",
"Armen",
""
]
] | We suggest the exactly solvable model of oscillator on the four-dimensional sphere interacting with the SU(2) Yang monopole. We show, that the properties of the model essentially depend on the monopole charge. |
hep-th/9502031 | Alexei Semikhatov | I Batalin, R Marnelius, A Semikhatov | Triplectic Quantization: A Geometrically Covariant Description of the
Sp(2)-symmetric Lagrangian Formalism | Revised version -- our treatment in Section 5 has been extended and
several pedagogical notes inserted in Sections 2--4; more references added. | Nucl.Phys. B446 (1995) 249-285 | 10.1016/0550-3213(95)00176-S | ITP G\"oteborg 94-31 | hep-th | null | A geometric description is given for the Sp(2) covariant version of the
field-antifield quantization of general constrained systems in the Lagrangian
formalism. We develop differential geometry on manifolds in which a basic set
of coordinates (`fields') have two superpartners (`antifields'). The
quantization on such a triplectic manifold requires introducing several
specific differential-geometric objects, whose properties we study. These
objects are then used to impose a set of generalized master-equations that
ensure gauge-independence of the path integral. The theory thus quantized is
shown to extend to a level-1 theory formulated on a manifold that includes
antifields to the Lagrange multipliers. We also observe intriguing relations
between triplectic and ordinary symplectic geometry.
| [
{
"created": "Mon, 6 Feb 1995 10:28:01 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Feb 1995 22:38:48 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Feb 1995 21:57:40 GMT",
"version": "v3"
}
] | 2013-07-31 | [
[
"Batalin",
"I",
""
],
[
"Marnelius",
"R",
""
],
[
"Semikhatov",
"A",
""
]
] | A geometric description is given for the Sp(2) covariant version of the field-antifield quantization of general constrained systems in the Lagrangian formalism. We develop differential geometry on manifolds in which a basic set of coordinates (`fields') have two superpartners (`antifields'). The quantization on such a triplectic manifold requires introducing several specific differential-geometric objects, whose properties we study. These objects are then used to impose a set of generalized master-equations that ensure gauge-independence of the path integral. The theory thus quantized is shown to extend to a level-1 theory formulated on a manifold that includes antifields to the Lagrange multipliers. We also observe intriguing relations between triplectic and ordinary symplectic geometry. |
1508.03272 | Diego Rubiera-Garcia | Gonzalo J. Olmo, D. Rubiera-Garcia and A. Sanchez-Puente | Geodesic completeness in a wormhole spacetime with horizons | 17 double column pages, 22 figures, to appear in Phys. Rev. D | Phys. Rev. D 92 (2015) 4, 044047 | 10.1103/PhysRevD.92.044047 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The geometry of a spacetime containing a wormhole generated by a spherically
symmetric electric field is investigated in detail. These solutions arise in
high-energy extensions of General Relativity formulated within the Palatini
approach and coupled to Maxwell electrodynamics. Even though curvature
divergences generically arise at the wormhole throat, we find that these
spacetimes are geodesically complete. This provides an explicit example where
curvature divergences do not imply spacetime singularities.
| [
{
"created": "Thu, 13 Aug 2015 17:10:11 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
],
[
"Sanchez-Puente",
"A.",
""
]
] | The geometry of a spacetime containing a wormhole generated by a spherically symmetric electric field is investigated in detail. These solutions arise in high-energy extensions of General Relativity formulated within the Palatini approach and coupled to Maxwell electrodynamics. Even though curvature divergences generically arise at the wormhole throat, we find that these spacetimes are geodesically complete. This provides an explicit example where curvature divergences do not imply spacetime singularities. |
2310.12264 | Swapnamay Mondal Dr. | Swapnamay Mondal | Statistical Mechanics of Exponentially Many Low Lying States | 22 pages | null | null | DIAS-STP-23-24 | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | It has recently been argued that for near-extremal black holes, the entropy
and the energy above extremality respectively receive a logT and a T-linear
correction, where T is the temperature. We show that both these features can be
derived in a low but not too low temperature regime, by assuming the existence
of exponentially many low lying states cleanly separated from rest of the
spectrum, without using any specific theory. Argument of the logarithm in the
expression of entropy is seen to be the ratio of temperature and the bandwidth
of the low lying states. We argue that such spectrum might arise in
non-supersymmetric extremal brane systems. Our findings strengthen Page's
suggestion that there is no true degeneracy for non-supersymmetric extremal
black holes.
| [
{
"created": "Wed, 18 Oct 2023 19:02:03 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2024 07:18:06 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Mondal",
"Swapnamay",
""
]
] | It has recently been argued that for near-extremal black holes, the entropy and the energy above extremality respectively receive a logT and a T-linear correction, where T is the temperature. We show that both these features can be derived in a low but not too low temperature regime, by assuming the existence of exponentially many low lying states cleanly separated from rest of the spectrum, without using any specific theory. Argument of the logarithm in the expression of entropy is seen to be the ratio of temperature and the bandwidth of the low lying states. We argue that such spectrum might arise in non-supersymmetric extremal brane systems. Our findings strengthen Page's suggestion that there is no true degeneracy for non-supersymmetric extremal black holes. |
1210.7535 | Takayuki Hirayama | Takayuki Hirayama | Power counting renormalizability of scalar theory in Lifshitz spacetime | 10 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the power counting renormalizability of scalar theory in Lifshitz
spacetime in D+2 dimensions. We show the spectral dimension becomes 2+(D/z) (z
is the critical exponent) after integrating out the radion field. We comment on
the AdS/CFT correspondence, and on how to avoid the Lifshitz singularity by
flowing into AdS spacetime in the infrared. We also comment on the quantum
gravity in Lifshitz spacetime.
| [
{
"created": "Thu, 25 Oct 2012 16:59:41 GMT",
"version": "v1"
}
] | 2012-10-30 | [
[
"Hirayama",
"Takayuki",
""
]
] | We analyse the power counting renormalizability of scalar theory in Lifshitz spacetime in D+2 dimensions. We show the spectral dimension becomes 2+(D/z) (z is the critical exponent) after integrating out the radion field. We comment on the AdS/CFT correspondence, and on how to avoid the Lifshitz singularity by flowing into AdS spacetime in the infrared. We also comment on the quantum gravity in Lifshitz spacetime. |
0908.0307 | Davide Gaiotto | Davide Gaiotto | Asymptotically free N=2 theories and irregular conformal blocks | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A surprising connection between N=2 gauge theory instanton partition
functions and conformal blocks has been recently proposed. We illustrate
through simple examples the generalization to asymptotically free N=2 gauge
theories
| [
{
"created": "Mon, 3 Aug 2009 17:38:43 GMT",
"version": "v1"
}
] | 2009-08-04 | [
[
"Gaiotto",
"Davide",
""
]
] | A surprising connection between N=2 gauge theory instanton partition functions and conformal blocks has been recently proposed. We illustrate through simple examples the generalization to asymptotically free N=2 gauge theories |
2006.03030 | Jie Gu | Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang | Elliptic Blowup Equations for 6d SCFTs. IV: Matters | 164 pages, 3 figures, 24 tables, typos corrected, refs added | null | 10.1007/JHEP11(2021)090 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given the recent geometrical classification of 6d $(1,0)$ SCFTs, a major
question is how to compute for this large class their elliptic genera. The
latter encode the refined BPS spectrum of the SCFTs, which determines geometric
invariants of the associated elliptic non-compact Calabi-Yau threefolds. In
this paper we establish for all 6d $(1,0)$ SCFTs in the atomic classification
blowup equations that fix these elliptic genera to large extent. The latter
fall into two types: the unity- and the vanishing blowup equations. For almost
all rank one theories, we find unity blowup equations which determine the
elliptic genera completely. We develop several techniques to compute elliptic
genera and BPS invariants from the blowup equations, including a recursion
formula with respect to the number of strings, a Weyl orbit expansion, a
refined BPS expansion and an $\epsilon_1,\epsilon_2$ expansion. For higher-rank
theories, we propose a gluing rule to obtain all their blowup equations based
on those of rank one theories. For example, we explicitly give the elliptic
blowup equations for the three higher-rank non-Higgsable clusters, ADE chain of
$-2$ curves and conformal matter theories. We also give the toric construction
for many elliptic non-compact Calabi-Yau threefolds which engineer 6d $(1,0)$
SCFTs with various matter representations.
| [
{
"created": "Thu, 4 Jun 2020 17:33:18 GMT",
"version": "v1"
},
{
"created": "Mon, 3 May 2021 21:21:39 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jun 2021 21:07:38 GMT",
"version": "v3"
}
] | 2021-12-01 | [
[
"Gu",
"Jie",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Sun",
"Kaiwen",
""
],
[
"Wang",
"Xin",
""
]
] | Given the recent geometrical classification of 6d $(1,0)$ SCFTs, a major question is how to compute for this large class their elliptic genera. The latter encode the refined BPS spectrum of the SCFTs, which determines geometric invariants of the associated elliptic non-compact Calabi-Yau threefolds. In this paper we establish for all 6d $(1,0)$ SCFTs in the atomic classification blowup equations that fix these elliptic genera to large extent. The latter fall into two types: the unity- and the vanishing blowup equations. For almost all rank one theories, we find unity blowup equations which determine the elliptic genera completely. We develop several techniques to compute elliptic genera and BPS invariants from the blowup equations, including a recursion formula with respect to the number of strings, a Weyl orbit expansion, a refined BPS expansion and an $\epsilon_1,\epsilon_2$ expansion. For higher-rank theories, we propose a gluing rule to obtain all their blowup equations based on those of rank one theories. For example, we explicitly give the elliptic blowup equations for the three higher-rank non-Higgsable clusters, ADE chain of $-2$ curves and conformal matter theories. We also give the toric construction for many elliptic non-compact Calabi-Yau threefolds which engineer 6d $(1,0)$ SCFTs with various matter representations. |
2009.01356 | Akash Jain | Akash Jain and Pavel Kovtun | Non-universality of hydrodynamics | 5 pages + Supplementary Material | Phys.Rev.Lett. 128 (2022) 7, 071601 | 10.1103/PhysRevLett.128.071601 | null | hep-th cond-mat.stat-mech hep-ph math-ph math.MP physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the effects of stochastic interactions on hydrodynamic
correlation functions using the Schwinger-Keldysh effective field theory. We
identify new "stochastic transport coefficients" that are invisible in the
classical constitutive relations, but nonetheless affect the late-time
behaviour of hydrodynamic correlation functions through loop corrections. These
results indicate that classical transport coefficients do not provide a
universal characterisation of long-distance, late-time correlations even within
the framework of fluctuating hydrodynamics.
| [
{
"created": "Wed, 2 Sep 2020 21:38:10 GMT",
"version": "v1"
}
] | 2022-02-21 | [
[
"Jain",
"Akash",
""
],
[
"Kovtun",
"Pavel",
""
]
] | We investigate the effects of stochastic interactions on hydrodynamic correlation functions using the Schwinger-Keldysh effective field theory. We identify new "stochastic transport coefficients" that are invisible in the classical constitutive relations, but nonetheless affect the late-time behaviour of hydrodynamic correlation functions through loop corrections. These results indicate that classical transport coefficients do not provide a universal characterisation of long-distance, late-time correlations even within the framework of fluctuating hydrodynamics. |
hep-th/9312063 | null | Silvio J. Rabello, Arvind N. Vaidya and Luiz Claudio M. de Albuquerque | The Negative Dimensional Oscillator at Finite Temperature | 8 pages, IF/UFRJ/93/07 | Phys.Lett. B324 (1994) 32-35 | 10.1016/0370-2693(94)00104-9 | null | hep-th | null | We study the thermal behavior of the negative dimensional harmonic oscillator
of Dunne and Halliday that at zero temperature, due to a hidden BRST symmetry
of the classical harmonic oscillator, is shown to be equivalent to the
Grassmann oscillator of Finkelstein and Villasante. At finite temperature we
verify that although being described by Grassmann numbers the thermal behavior
of the negative dimensional oscillator is quite different from a Fermi system.
| [
{
"created": "Wed, 8 Dec 1993 16:16:30 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Rabello",
"Silvio J.",
""
],
[
"Vaidya",
"Arvind N.",
""
],
[
"de Albuquerque",
"Luiz Claudio M.",
""
]
] | We study the thermal behavior of the negative dimensional harmonic oscillator of Dunne and Halliday that at zero temperature, due to a hidden BRST symmetry of the classical harmonic oscillator, is shown to be equivalent to the Grassmann oscillator of Finkelstein and Villasante. At finite temperature we verify that although being described by Grassmann numbers the thermal behavior of the negative dimensional oscillator is quite different from a Fermi system. |
1707.06629 | Hai Siong Tan | H. S. Tan | Topological Entanglement Entropy and Braids in Chern-Simons Theory | 36 pages, 29 figure files; minor revisions | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a web of connections between quantum entanglement and knot theory
by examining how topological entanglement entropy probes the braiding data of
quasi-particles in Chern-Simons theory, mainly using $SU(2)$ gauge group as our
working example. The problem of determining the Renyi entropy is mapped to
computing the expectation value of an auxiliary Wilson loop in $S^3$ for each
braid. We study various properties of this auxiliary Wilson loop for some
2-strand and 3-strand braids, and demonstrate how they reflect some geometrical
properties of the underlying braids.
| [
{
"created": "Thu, 20 Jul 2017 17:40:52 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2017 03:43:29 GMT",
"version": "v2"
}
] | 2017-10-05 | [
[
"Tan",
"H. S.",
""
]
] | We explore a web of connections between quantum entanglement and knot theory by examining how topological entanglement entropy probes the braiding data of quasi-particles in Chern-Simons theory, mainly using $SU(2)$ gauge group as our working example. The problem of determining the Renyi entropy is mapped to computing the expectation value of an auxiliary Wilson loop in $S^3$ for each braid. We study various properties of this auxiliary Wilson loop for some 2-strand and 3-strand braids, and demonstrate how they reflect some geometrical properties of the underlying braids. |
hep-th/9511074 | null | Subir Ghosh and S. Mukhopadhyay | A novel BRST approach in generalizing the Jackiw-Nair anyon | 8 pages, Latex file | Phys.Rev. D54 (1996) 2793-2796 | 10.1103/PhysRevD.54.2793 | sinp/tnp/95-16 | hep-th | null | A novel BRST quantization is described, which is applied in generalizing the
Jackiw-Nair construction of anyon. We have explicitly shown that the matter
states connected to an unconventional ("non-zero") BRST ghost sector are
physical. They are identified to the Jackiw-Nair system in a particular gauge.
Also for the first time an indepth analysis of the present kind for a reducible
constraint system, ( where the constraints are not independent), has been
performed.
| [
{
"created": "Sat, 11 Nov 1995 19:12:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Ghosh",
"Subir",
""
],
[
"Mukhopadhyay",
"S.",
""
]
] | A novel BRST quantization is described, which is applied in generalizing the Jackiw-Nair construction of anyon. We have explicitly shown that the matter states connected to an unconventional ("non-zero") BRST ghost sector are physical. They are identified to the Jackiw-Nair system in a particular gauge. Also for the first time an indepth analysis of the present kind for a reducible constraint system, ( where the constraints are not independent), has been performed. |
2408.05531 | Y. M. Cho | Y.M. Cho, Sang-Woo Kim, and Seung Hun Oh | Electroweak Primordial Magnetic Blackhole: Cosmic Production and
Physical Implication | null | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The electroweak monopole, when coupled to gravity, turns to the
Reissner-Nordstrom type primordial magnetic blackhole whose mass is bounded
below, with the lower bound $M_P \sqrt \alpha$. This changes the overall
picture of the monopole production mechanism in the early universe drastically
and has deep implications in cosmolpgy. In particular, this enhances the
possibility that the electroweak monopoles turned to the primordial magnetic
blackholes could become the seed of stellar objects and galaxies, and account
for the dark matter of the universe. Moreover, this tells that we have a new
type of primordial blackhole different from the popular primordial blackhole in
cosmology, the electroweak primordial magnetic blackhole based on a totally
different production mechanism. We discuss the physical implications of the
electroweak primordial magnetic blackhole.
| [
{
"created": "Sat, 10 Aug 2024 12:26:33 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2024 10:44:54 GMT",
"version": "v2"
}
] | 2024-08-15 | [
[
"Cho",
"Y. M.",
""
],
[
"Kim",
"Sang-Woo",
""
],
[
"Oh",
"Seung Hun",
""
]
] | The electroweak monopole, when coupled to gravity, turns to the Reissner-Nordstrom type primordial magnetic blackhole whose mass is bounded below, with the lower bound $M_P \sqrt \alpha$. This changes the overall picture of the monopole production mechanism in the early universe drastically and has deep implications in cosmolpgy. In particular, this enhances the possibility that the electroweak monopoles turned to the primordial magnetic blackholes could become the seed of stellar objects and galaxies, and account for the dark matter of the universe. Moreover, this tells that we have a new type of primordial blackhole different from the popular primordial blackhole in cosmology, the electroweak primordial magnetic blackhole based on a totally different production mechanism. We discuss the physical implications of the electroweak primordial magnetic blackhole. |
2306.14823 | Alicia Castro | Alicia Castro | Critical JT Gravity | 28 pages, 15 figures | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate a critical behavior of JT gravity, a model of
two-dimensional quantum gravity on constant negatively curved spacetimes. Our
approach involves using techniques from random maps to investigate the
generating function of Weil--Petersson volumes, which count random hyperbolic
surfaces with defects. The defects are weighted geodesic boundaries, and
criticality is reached by tuning the weights to the regime where macroscopic
holes emerge in the hyperbolic surface, namely \textit{non-generic
criticality}. We analyze the impact of this critical regime on some universal
features, such as its density of states. We present a family of models that
interpolates between systems with $\rho_0(E)\sim\sqrt{E-E_0}$ and
$\rho_0(E)\sim (E-E_0)^{3/2}$, which are commonly found in models of JT gravity
coupled to dynamical end-of-the-world and FZZT branes, and give a precise
definition of what this phase transition means from the random geometry point
of view.
| [
{
"created": "Mon, 26 Jun 2023 16:32:18 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2023 09:50:38 GMT",
"version": "v2"
}
] | 2023-08-25 | [
[
"Castro",
"Alicia",
""
]
] | In this paper, we investigate a critical behavior of JT gravity, a model of two-dimensional quantum gravity on constant negatively curved spacetimes. Our approach involves using techniques from random maps to investigate the generating function of Weil--Petersson volumes, which count random hyperbolic surfaces with defects. The defects are weighted geodesic boundaries, and criticality is reached by tuning the weights to the regime where macroscopic holes emerge in the hyperbolic surface, namely \textit{non-generic criticality}. We analyze the impact of this critical regime on some universal features, such as its density of states. We present a family of models that interpolates between systems with $\rho_0(E)\sim\sqrt{E-E_0}$ and $\rho_0(E)\sim (E-E_0)^{3/2}$, which are commonly found in models of JT gravity coupled to dynamical end-of-the-world and FZZT branes, and give a precise definition of what this phase transition means from the random geometry point of view. |
2403.03817 | Stuart Dowker | J.S.Dowker | On the vacuum energy in the Einstein Universe and the conformal anomaly | 5 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | An oldish question is resurrected concerning the significance of the
ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir
energy on the Einstein Universe for conformally coupled scalar fields. Some
remarks in the literature are hopefully clarified and the relevance of much
earlier evaluations is pointed out. A consistency principle is suggested.
| [
{
"created": "Wed, 6 Mar 2024 16:04:28 GMT",
"version": "v1"
}
] | 2024-03-07 | [
[
"Dowker",
"J. S.",
""
]
] | An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the literature are hopefully clarified and the relevance of much earlier evaluations is pointed out. A consistency principle is suggested. |
1606.00320 | Massimo Blasone Dr | Massimo Blasone, Petr Jizba and Luca Smaldone | Effective action approach to dynamical generation of fermion mixing | arXiv admin note: text overlap with arXiv:1312.4924 | IL NUOVO CIMENTO 38 C (2015) 201 | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss a mechanism for the dynamical generation of flavor
mixing, in the framework of the Nambu--Jona Lasinio model. Our approach is
illustrated both with the conventional operatorial formalism and with
functional integral and ensuing one-loop effective action. The results obtained
are briefly discussed.
| [
{
"created": "Wed, 1 Jun 2016 15:04:29 GMT",
"version": "v1"
}
] | 2016-06-02 | [
[
"Blasone",
"Massimo",
""
],
[
"Jizba",
"Petr",
""
],
[
"Smaldone",
"Luca",
""
]
] | In this paper we discuss a mechanism for the dynamical generation of flavor mixing, in the framework of the Nambu--Jona Lasinio model. Our approach is illustrated both with the conventional operatorial formalism and with functional integral and ensuing one-loop effective action. The results obtained are briefly discussed. |
1605.05344 | Adalto R. Gomes | F. C. Simas, Adalto R. Gomes, K. Z. Nobrega, J. C. R. E. Oliveira | Suppression of two-bounce windows in kink-antikink collisions | 13 pages, 6 figures | null | 10.1007/JHEP09(2016)104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a class of topological defects in $(1,1)$-dimensions with a
deformed $\phi^4$ kink structure whose stability analysis leads to a
Schr\"odinger-like equation with a zero-mode and at least one vibrational
(shape) mode. We are interested in the dynamics of kink-antikink collisions,
focusing on the structure of two-bounce windows. For small deformation and for
one or two vibrational modes, the observed two-bounce windows are explained by
the standard mechanism of a resonant effect between the first vibrational and
the translational modes. With the increasing of the deformation, the effect of
the appearance of more than one vibrational mode is the gradual disappearance
of the initial two-bounce windows. The total suppression of two-bounce windows
even with the presence of a vibrational mode offers a counterexample from what
expected from the standard mechanism. For even larger deformation, some
two-bounce windows reappear, but with a non-standard structure.
| [
{
"created": "Tue, 17 May 2016 20:08:19 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2016 14:32:14 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Simas",
"F. C.",
""
],
[
"Gomes",
"Adalto R.",
""
],
[
"Nobrega",
"K. Z.",
""
],
[
"Oliveira",
"J. C. R. E.",
""
]
] | We consider a class of topological defects in $(1,1)$-dimensions with a deformed $\phi^4$ kink structure whose stability analysis leads to a Schr\"odinger-like equation with a zero-mode and at least one vibrational (shape) mode. We are interested in the dynamics of kink-antikink collisions, focusing on the structure of two-bounce windows. For small deformation and for one or two vibrational modes, the observed two-bounce windows are explained by the standard mechanism of a resonant effect between the first vibrational and the translational modes. With the increasing of the deformation, the effect of the appearance of more than one vibrational mode is the gradual disappearance of the initial two-bounce windows. The total suppression of two-bounce windows even with the presence of a vibrational mode offers a counterexample from what expected from the standard mechanism. For even larger deformation, some two-bounce windows reappear, but with a non-standard structure. |
hep-th/0411085 | Carlo Angelantonj | Carlo Angelantonj | Open Strings and Supersymmetry Breaking | Contribution to the proceedings of the XVI SIGRAV conference. V2 refs
added, V3 one ref added | null | 10.1063/1.1891525 | LMU-TPS 04/11 | hep-th | null | We review several mechanisms for supersymmetry breaking in orientifold
models. In particular, we focus on non-supersymmetric open-string realisations
that correspond to consistent flat-space solutions of the classical equations
of motion. In these models, the one-loop vacuum energy can typically fixed by
the size of the compact extra dimensions, and can thus be tuned to extremely
small values if enough extra dimensions are large.
| [
{
"created": "Mon, 8 Nov 2004 12:56:28 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2004 14:05:32 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jul 2005 08:32:49 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Angelantonj",
"Carlo",
""
]
] | We review several mechanisms for supersymmetry breaking in orientifold models. In particular, we focus on non-supersymmetric open-string realisations that correspond to consistent flat-space solutions of the classical equations of motion. In these models, the one-loop vacuum energy can typically fixed by the size of the compact extra dimensions, and can thus be tuned to extremely small values if enough extra dimensions are large. |
hep-th/0606279 | Nikos Kalogeropoulos | Nikos Kalogeropoulos | The geodesic rule and the spectrum of the vacuum | 11 pages. Accepted by Mod. Phys. Lett. A | Mod.Phys.Lett.A21:1727-1735,2006 | 10.1142/S0217732306021116 | null | hep-th hep-ph | null | We analyze the consequences of a recent argument justifying the validity of
the "geodesic rule" which can be used to determine the density of global
topological defects. We derive a formula that provides a rough estimate of the
number of string-like defects formed in a phase transition. We apply this
formula to vacua which are spheres. We provide some reasons for the deviation
of our predictions from the corresponding accepted values.
| [
{
"created": "Fri, 30 Jun 2006 00:08:44 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kalogeropoulos",
"Nikos",
""
]
] | We analyze the consequences of a recent argument justifying the validity of the "geodesic rule" which can be used to determine the density of global topological defects. We derive a formula that provides a rough estimate of the number of string-like defects formed in a phase transition. We apply this formula to vacua which are spheres. We provide some reasons for the deviation of our predictions from the corresponding accepted values. |
1508.07763 | Jean Alexandre | J. Alexandre | BUSSTEPP lecture notes: Exact Wilsonian Renormalisation | 25 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lecture notes introduce exact Wilsonian renormalisation, and describe
its technical approach, from an intuitive implementation to more advanced
realisations. The methods and concepts are explained with a scalar theory, and
their extension to quantum gravity is discussed as an application.
| [
{
"created": "Mon, 31 Aug 2015 10:56:35 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 2015 15:39:10 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Aug 2016 22:11:51 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Nov 2016 12:33:55 GMT",
"version": "v4"
},
{
"created": "Mon, 19 Dec 2016 14:31:27 GMT",
"version": "v5"
},
{
"created": "Sat, 26 Aug 2017 18:31:02 GMT",
"version": "v6"
},
{
"created": "Sat, 13 Jan 2018 13:18:24 GMT",
"version": "v7"
}
] | 2018-01-16 | [
[
"Alexandre",
"J.",
""
]
] | These lecture notes introduce exact Wilsonian renormalisation, and describe its technical approach, from an intuitive implementation to more advanced realisations. The methods and concepts are explained with a scalar theory, and their extension to quantum gravity is discussed as an application. |
hep-th/0004165 | Mourad | E. Dudas and J. Mourad | Brane solutions in strings with broken supersymmetry and dilaton
tadpoles | 13 pages | Phys.Lett. B486 (2000) 172-178 | 10.1016/S0370-2693(00)00734-6 | LPT 00/43 | hep-th | null | The tachyon-free nonsupersymmetric string theories in ten dimensions have
dilaton tadpoles which forbid a Minkowski vacuum. We determine the maximally
symmetric backgrounds for the $USp(32)$ Type I string and the $SO(16)\times
SO(16)$ heterotic string. The static solutions exhibit nine dimensional
Poincar\'e symmetry and have finite 9D Planck and Yang-Mills constants. The low
energy geometry is given by a ten dimensional manifold with two boundaries
separated by a finite distance which suggests a spontaneous compactification of
the ten dimensional string theory.
| [
{
"created": "Mon, 24 Apr 2000 16:47:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Dudas",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] | The tachyon-free nonsupersymmetric string theories in ten dimensions have dilaton tadpoles which forbid a Minkowski vacuum. We determine the maximally symmetric backgrounds for the $USp(32)$ Type I string and the $SO(16)\times SO(16)$ heterotic string. The static solutions exhibit nine dimensional Poincar\'e symmetry and have finite 9D Planck and Yang-Mills constants. The low energy geometry is given by a ten dimensional manifold with two boundaries separated by a finite distance which suggests a spontaneous compactification of the ten dimensional string theory. |
0712.2261 | Thomas S. Levi | Spencer Chang, Matthew Kleban and Thomas S. Levi | When Worlds Collide | 25 pages, 9 figures | JCAP 0804:034,2008 | 10.1088/1475-7516/2008/04/034 | null | hep-th astro-ph gr-qc | null | We analyze the cosmological signatures visible to an observer in a Coleman-de
Luccia bubble when another such bubble collides with it. We use a gluing
procedure to generalize the results of Freivogel, Horowitz, and Shenker to the
case of a general cosmological constant in each bubble and study the resulting
spacetimes. The collision breaks the isotropy and homogeneity of the bubble
universe and provides a cosmological "axis of evil" which can affect the cosmic
microwave background in several unique and potentially detectable ways. Unlike
more conventional perturbations to the inflationary initial state, these
signatures can survive even relatively long periods of inflation. In addition,
we find that for a given collision the observers in the bubble with smaller
cosmological constant are safest from collisions with domain walls, possibly
providing another anthropic selection principle for small positive vacuum
energy.
| [
{
"created": "Fri, 14 Dec 2007 19:38:39 GMT",
"version": "v1"
}
] | 2009-12-07 | [
[
"Chang",
"Spencer",
""
],
[
"Kleban",
"Matthew",
""
],
[
"Levi",
"Thomas S.",
""
]
] | We analyze the cosmological signatures visible to an observer in a Coleman-de Luccia bubble when another such bubble collides with it. We use a gluing procedure to generalize the results of Freivogel, Horowitz, and Shenker to the case of a general cosmological constant in each bubble and study the resulting spacetimes. The collision breaks the isotropy and homogeneity of the bubble universe and provides a cosmological "axis of evil" which can affect the cosmic microwave background in several unique and potentially detectable ways. Unlike more conventional perturbations to the inflationary initial state, these signatures can survive even relatively long periods of inflation. In addition, we find that for a given collision the observers in the bubble with smaller cosmological constant are safest from collisions with domain walls, possibly providing another anthropic selection principle for small positive vacuum energy. |
1403.6099 | Amjad Ashoorioon | Amjad Ashoorioon, Konstantinos Dimopoulos, M. M. Sheikh-Jabbari and
Gary Shiu | Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and
Planck | v1:5 pages, double column; v2: 6 pages, double column, the option of
negative running of scalar spectral index and some references were added; v3:
Matched the PLB version | Physics Letters B 737 (2014) 98-102 | 10.1016/j.physletb.2014.08.038 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The BICEP2 experiment has announced a signal for primordial gravity waves
with tensor-to-scalar ratio $r=0.2^{+0.07}_{-0.05}$ [arXiv:1403.3985]. There
are two ways to reconcile this result with the latest Planck experiment
[arXiv:1303.5082]. One is by assuming that there is a considerable tilt of $r$,
$\mathcal{T}_r$, with a positive sign, $\mathcal{T}_r=d\ln r/d\ln k\gtrsim
0.57^{+0.29}_{-0.27}$ corresponding to a blue tilt for the tensor modes of
order $n_T\simeq0.53 ^{+0.29}_{-0.27}$, assuming the Planck experiment best-fit
value for tilt of scalar power spectrum $n_S$. The other possibility is to
assume that there is a negative running in the scalar spectral index,
$dn_S/d\ln k\simeq -0.02$ which pushes up the upper bound on $r$ from $0.11$ up
to $0.26$ in the Planck analysis assuming the existence of a tensor spectrum.
Simple slow-roll models fail to provide such large values for $\mathcal{T}_r$
or negative runnings in $n_S$ [arXiv:1403.3985]. In this note we show that a
non-Bunch-Davies initial state for perturbations can provide a match between
large field chaotic models (like $m^2\phi^2$) with the latest Planck result
[arXiv:1306.4914] and BICEP2 results by accommodating either the blue tilt of
$r$ or the negative large running of $n_S$.
| [
{
"created": "Mon, 24 Mar 2014 19:45:16 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 2014 03:12:11 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Sep 2014 18:39:32 GMT",
"version": "v3"
}
] | 2014-09-03 | [
[
"Ashoorioon",
"Amjad",
""
],
[
"Dimopoulos",
"Konstantinos",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Shiu",
"Gary",
""
]
] | The BICEP2 experiment has announced a signal for primordial gravity waves with tensor-to-scalar ratio $r=0.2^{+0.07}_{-0.05}$ [arXiv:1403.3985]. There are two ways to reconcile this result with the latest Planck experiment [arXiv:1303.5082]. One is by assuming that there is a considerable tilt of $r$, $\mathcal{T}_r$, with a positive sign, $\mathcal{T}_r=d\ln r/d\ln k\gtrsim 0.57^{+0.29}_{-0.27}$ corresponding to a blue tilt for the tensor modes of order $n_T\simeq0.53 ^{+0.29}_{-0.27}$, assuming the Planck experiment best-fit value for tilt of scalar power spectrum $n_S$. The other possibility is to assume that there is a negative running in the scalar spectral index, $dn_S/d\ln k\simeq -0.02$ which pushes up the upper bound on $r$ from $0.11$ up to $0.26$ in the Planck analysis assuming the existence of a tensor spectrum. Simple slow-roll models fail to provide such large values for $\mathcal{T}_r$ or negative runnings in $n_S$ [arXiv:1403.3985]. In this note we show that a non-Bunch-Davies initial state for perturbations can provide a match between large field chaotic models (like $m^2\phi^2$) with the latest Planck result [arXiv:1306.4914] and BICEP2 results by accommodating either the blue tilt of $r$ or the negative large running of $n_S$. |
1704.02330 | Lakshya Bhardwaj | Lakshya Bhardwaj, Yuji Tachikawa | On finite symmetries and their gauging in two dimensions | 73 pages, v2: correct treatment of pivotal structure leading to the
resolution of a contradiction between non-trivial anomaly and unitarity | null | 10.1007/JHEP03(2018)189 | IPMU-17-0049 | hep-th math.CT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well-known that if we gauge a $\mathbb{Z}_n$ symmetry in two
dimensions, a dual $\mathbb{Z}_n$ symmetry appears, such that re-gauging this
dual $\mathbb{Z}_n$ symmetry leads back to the original theory. We describe how
this can be generalized to non-Abelian groups, by enlarging the concept of
symmetries from those defined by groups to those defined by unitary fusion
categories. We will see that this generalization is also useful when studying
what happens when a non-anomalous subgroup of an anomalous finite group is
gauged: for example, the gauged theory can have non-Abelian group symmetry even
when the original symmetry is an Abelian group. We then discuss the
axiomatization of two-dimensional topological quantum field theories whose
symmetry is given by a category. We see explicitly that the gauged version is a
topological quantum field theory with a new symmetry given by a dual category.
| [
{
"created": "Fri, 7 Apr 2017 18:01:48 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2017 16:43:09 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Bhardwaj",
"Lakshya",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | It is well-known that if we gauge a $\mathbb{Z}_n$ symmetry in two dimensions, a dual $\mathbb{Z}_n$ symmetry appears, such that re-gauging this dual $\mathbb{Z}_n$ symmetry leads back to the original theory. We describe how this can be generalized to non-Abelian groups, by enlarging the concept of symmetries from those defined by groups to those defined by unitary fusion categories. We will see that this generalization is also useful when studying what happens when a non-anomalous subgroup of an anomalous finite group is gauged: for example, the gauged theory can have non-Abelian group symmetry even when the original symmetry is an Abelian group. We then discuss the axiomatization of two-dimensional topological quantum field theories whose symmetry is given by a category. We see explicitly that the gauged version is a topological quantum field theory with a new symmetry given by a dual category. |
0708.3461 | Om Prakash Singh Negi | P. S. Bisht and O. P. S. Negi | Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge
Theories of Dyons | null | Int.J.Theor.Phys.47:1497-1511,2008 | 10.1007/s10773-007-9591-z | null | hep-th | null | Einstein- Schroedinger (ES) non-symmetric theory has been extended to
accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the
quaternion-octonion metric realization. Corresponding covariant derivatives for
complex, quaternion and octonion spaces in internal gauge groups are shown to
describe the consistent field equations and generalized Dirac equation of
dyons. It is also shown that quaternion and octonion representations extend the
so-called unified theory of gravitation and electromagnetism to the Yang-Mill's
fields leading to two SU(2) gauge theories of internal spaces due to the
presence of electric and magnetic charges on dyons.
| [
{
"created": "Sun, 26 Aug 2007 04:47:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bisht",
"P. S.",
""
],
[
"Negi",
"O. P. S.",
""
]
] | Einstein- Schroedinger (ES) non-symmetric theory has been extended to accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the quaternion-octonion metric realization. Corresponding covariant derivatives for complex, quaternion and octonion spaces in internal gauge groups are shown to describe the consistent field equations and generalized Dirac equation of dyons. It is also shown that quaternion and octonion representations extend the so-called unified theory of gravitation and electromagnetism to the Yang-Mill's fields leading to two SU(2) gauge theories of internal spaces due to the presence of electric and magnetic charges on dyons. |
2102.03533 | Rong-Xin Miao | Jian-Guo Liu, Rong-Xin Miao | Holographic Anomalous Current at a Finite Temperature | 11 pages, 4 figures, published in PLB | null | 10.1016/j.physletb.2021.136229 | null | hep-th cond-mat.other gr-qc | http://creativecommons.org/licenses/by/4.0/ | Weyl anomaly leads to novel anomalous currents in a spacetime with
boundaries. Recently it is found that the anomalous current can be
significantly enhanced by the high temperature for free theories, which could
make the experimental measurement easier. In this paper, we investigate
holographic anomalous currents at a finite temperature. It is found that the
holographic current is still enhanced by the high temperature in dimensions
higher than three. However, the temperature dependence is quite different from
that of free theories. This may be due to the fact that the holographic CFT is
strongly coupled and there is non-zero resistance in the holographic model.
Remarkably, the temperature dependence of holographic anomalous currents is
universal in the high temperature limit, which is independent of the choices of
background magnetic fields.
| [
{
"created": "Sat, 6 Feb 2021 08:02:12 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2021 12:21:13 GMT",
"version": "v2"
}
] | 2021-08-12 | [
[
"Liu",
"Jian-Guo",
""
],
[
"Miao",
"Rong-Xin",
""
]
] | Weyl anomaly leads to novel anomalous currents in a spacetime with boundaries. Recently it is found that the anomalous current can be significantly enhanced by the high temperature for free theories, which could make the experimental measurement easier. In this paper, we investigate holographic anomalous currents at a finite temperature. It is found that the holographic current is still enhanced by the high temperature in dimensions higher than three. However, the temperature dependence is quite different from that of free theories. This may be due to the fact that the holographic CFT is strongly coupled and there is non-zero resistance in the holographic model. Remarkably, the temperature dependence of holographic anomalous currents is universal in the high temperature limit, which is independent of the choices of background magnetic fields. |
hep-th/0509107 | Elcio Abdalla | Bin Wang, Chi-Yong Lin, Elcio Abdalla | Constraints on the interacting holographic dark energy model | 9 pages, 6 figures | Phys.Lett. B637 (2006) 357-361 | 10.1016/j.physletb.2006.04.009 | null | hep-th | null | We examined the interacting holographic dark energy model in a universe with
spatial curvature. Using the near-flatness condition and requiring that the
universe is experiencing an accelerated expansion, we have constrained the
parameter space of the model and found that the model can accommodate a
transition of the dark energy from $\omega_D>-1$ to $\omega_D<-1$.
| [
{
"created": "Wed, 14 Sep 2005 16:35:02 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2006 18:20:33 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Wang",
"Bin",
""
],
[
"Lin",
"Chi-Yong",
""
],
[
"Abdalla",
"Elcio",
""
]
] | We examined the interacting holographic dark energy model in a universe with spatial curvature. Using the near-flatness condition and requiring that the universe is experiencing an accelerated expansion, we have constrained the parameter space of the model and found that the model can accommodate a transition of the dark energy from $\omega_D>-1$ to $\omega_D<-1$. |
hep-th/0311084 | Peter Ouyang | Peter Ouyang | Holomorphic D7-Branes and Flavored N=1 Gauge Theories | 25 pages, latex, v2:typos fixed, refs added | Nucl.Phys.B699:207-225,2004 | 10.1016/j.nuclphysb.2004.08.015 | PUPT-2099 | hep-th | null | We consider D7-branes in the gauge theory/string theory correspondence, using
a probe approximation. The D7-branes have four directions embedded
holomorphically in a non-compact Calabi-Yau 3-fold (which for specificity we
take to be the conifold) and their remaining four directions are parallel to a
stack of D3-branes transverse to the Calabi-Yau space. The dual gauge theory,
which has $\mathcal{N}=1$ supersymmetry, contains quarks which transform in the
fundamental representation of the gauge group, and we identify the interactions
of these quarks in terms of a superpotential. By activating three-form fluxes
in the gravity background, we obtain a dual gauge theory with a cascade of
Seiberg dualities. We find a supersymmetric supergravity solution for the
leading backreaction effects of the D7-branes, valid for asymptotically large
radius. The cascading theory with flavors exhibits the interesting phenomenon
that the rate of the cascade slows and can stop as the theory flows to the
infrared.
| [
{
"created": "Mon, 10 Nov 2003 15:48:45 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2004 19:50:48 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Ouyang",
"Peter",
""
]
] | We consider D7-branes in the gauge theory/string theory correspondence, using a probe approximation. The D7-branes have four directions embedded holomorphically in a non-compact Calabi-Yau 3-fold (which for specificity we take to be the conifold) and their remaining four directions are parallel to a stack of D3-branes transverse to the Calabi-Yau space. The dual gauge theory, which has $\mathcal{N}=1$ supersymmetry, contains quarks which transform in the fundamental representation of the gauge group, and we identify the interactions of these quarks in terms of a superpotential. By activating three-form fluxes in the gravity background, we obtain a dual gauge theory with a cascade of Seiberg dualities. We find a supersymmetric supergravity solution for the leading backreaction effects of the D7-branes, valid for asymptotically large radius. The cascading theory with flavors exhibits the interesting phenomenon that the rate of the cascade slows and can stop as the theory flows to the infrared. |
1711.09076 | Akash Jain | Nabamita Banerjee, Sayali Atul Bhatkar, Akash Jain | Second order Galilean fluids & Stokes' law | 32 + 1 pages, 10 tables | Phys. Rev. D 97, 096018 (2018) | 10.1103/PhysRevD.97.096018 | DCPT-17/37 | hep-th cond-mat.stat-mech physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the second derivative effects on the constitutive relations of an
uncharged parity-even Galilean fluid using the null fluid framework. Null
fluids are an equivalent representation of Galilean fluids in terms of a higher
dimensional relativistic fluid, which makes the Galilean symmetries manifest
and tractable. The analysis is based on the offshell formalism of
hydrodynamics. We use this formalism to work out a generic algorithm to obtain
the constitutive relations of a Galilean fluid up to arbitrarily high
derivative orders, and later specialise to second order. Finally, we study the
Stokes' law which determines the drag force on an object moving through a
fluid, in presence of certain second order terms. We identify the second order
transport coefficients which leave the drag force invariant.
| [
{
"created": "Fri, 24 Nov 2017 18:45:54 GMT",
"version": "v1"
}
] | 2018-06-06 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Bhatkar",
"Sayali Atul",
""
],
[
"Jain",
"Akash",
""
]
] | We study the second derivative effects on the constitutive relations of an uncharged parity-even Galilean fluid using the null fluid framework. Null fluids are an equivalent representation of Galilean fluids in terms of a higher dimensional relativistic fluid, which makes the Galilean symmetries manifest and tractable. The analysis is based on the offshell formalism of hydrodynamics. We use this formalism to work out a generic algorithm to obtain the constitutive relations of a Galilean fluid up to arbitrarily high derivative orders, and later specialise to second order. Finally, we study the Stokes' law which determines the drag force on an object moving through a fluid, in presence of certain second order terms. We identify the second order transport coefficients which leave the drag force invariant. |
1012.3263 | Stephane Munier | M. Ciafaloni, S. Munier | Hamiltonian solutions of the 3-body problem in (2+1)-gravity | 25 pages, no figure. v2: some calculation details removed to make the
paper more concise (see v1 for the longer version), minor correction in a
formula in the section on quantization, references added; results and
conclusions unchanged | Class. Quantum Grav. 28 (2011) 195018 | 10.1088/0264-9381/28/19/195018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a full study of the 3-body problem in gravity in flat
(2+1)-dimensional space-time, and in the nonrelativistic limit of small
velocities. We provide an explicit form of the ADM Hamiltonian in a regular
coordinate system and we set up all the ingredients for canonical quantization.
We emphasize the role of a U(2) symmetry under which the Hamiltonian is
invariant and which should generalize to a U(N-1) symmetry for N bodies. This
symmetry seems to stem from a braid group structure in the operations of
looping of particles around each other, and guarantees the single-valuedness of
the Hamiltonian. Its role for the construction of single-valued energy
eigenfunctions is also discussed.
| [
{
"created": "Wed, 15 Dec 2010 10:11:27 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2011 11:25:33 GMT",
"version": "v2"
}
] | 2011-09-16 | [
[
"Ciafaloni",
"M.",
""
],
[
"Munier",
"S.",
""
]
] | We present a full study of the 3-body problem in gravity in flat (2+1)-dimensional space-time, and in the nonrelativistic limit of small velocities. We provide an explicit form of the ADM Hamiltonian in a regular coordinate system and we set up all the ingredients for canonical quantization. We emphasize the role of a U(2) symmetry under which the Hamiltonian is invariant and which should generalize to a U(N-1) symmetry for N bodies. This symmetry seems to stem from a braid group structure in the operations of looping of particles around each other, and guarantees the single-valuedness of the Hamiltonian. Its role for the construction of single-valued energy eigenfunctions is also discussed. |
2408.01925 | Madad Ali Valuyan | M. A. Valuyan | {\AE}ther Coupling Effects on Casimir Energy for Self-Interacting Scalar
Field within Extra Dimension | 15 pages, 6 figures, 1 table, Accepted for publication on Physica
Scripta (IOP) | Phys. Scr. 99 (2024) 095303 | 10.1088/1402-4896/ad69d3 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This paper presents comprehensive calculations for thermal and first-order
radiative corrections to the Casimir energy in systems involving
self-interacting massive and massless scalar fields coupled with {\ae}ther in a
fifth compact dimension. The method used to compute the radiative correction to
the Casimir energy differs from conventional approaches by applying a unique
renormalization scheme that is consistent with specific boundary conditions or
backgrounds. Despite this divergence from conventional methodologies, our
results demonstrate consistency within established physical limits.
Furthermore, employing a toy model, we calculated the total Casimir energy
density in the bulk, taking into account both thermal and radiative
corrections. We also provide a thorough characterization of the total Casimir
energy density in the compact dimension, detailing its magnitude and sign using
graphical representations and quantitative data.
| [
{
"created": "Sun, 4 Aug 2024 04:38:47 GMT",
"version": "v1"
}
] | 2024-08-14 | [
[
"Valuyan",
"M. A.",
""
]
] | This paper presents comprehensive calculations for thermal and first-order radiative corrections to the Casimir energy in systems involving self-interacting massive and massless scalar fields coupled with {\ae}ther in a fifth compact dimension. The method used to compute the radiative correction to the Casimir energy differs from conventional approaches by applying a unique renormalization scheme that is consistent with specific boundary conditions or backgrounds. Despite this divergence from conventional methodologies, our results demonstrate consistency within established physical limits. Furthermore, employing a toy model, we calculated the total Casimir energy density in the bulk, taking into account both thermal and radiative corrections. We also provide a thorough characterization of the total Casimir energy density in the compact dimension, detailing its magnitude and sign using graphical representations and quantitative data. |
hep-th/0606242 | Nikolay Pletnev | A.T. Banin, I.L. Buchbinder, N.G. Pletnev | On quantum properties of the four-dimensional generic chiral superfield
model | LaTeX, 17 pages, typos corrected, reference added | Phys.Rev.D74:045010,2006 | 10.1103/PhysRevD.74.045010 | null | hep-th | null | We study a problem of systematical evaluation of the quantum corrections for
general 4D supersymmetric K\"ahler sigma models with chiral and antichiral
superpotentials. Using manifestly reparametrization covariant techniques (the
background-quantum splitting and proper-time representation) in the ${\cal
N}=1$ superspace we show how to define unambiguously the one-loop effective
action. We introduce the reparametrization covariant derivatives acting on
superfields and prove that their algebra is analogous to algebra in super
Yang-Mills (SYM) theory. This analogy allows us to use for evaluation of the
effective action in the theory under consideration methods developed for SYM
theory. The divergencies for the model are obtained. It is shown that on
general K\"ahler manifold the one-loop counterterms have the structure of a
supersymmetric WZNW term. Leading finite contribution in covariant derivative
expansion of the one-loop effective action (superfield $a_3$ coefficient) is
calculated.
| [
{
"created": "Mon, 26 Jun 2006 03:21:12 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2006 09:25:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Banin",
"A. T.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | We study a problem of systematical evaluation of the quantum corrections for general 4D supersymmetric K\"ahler sigma models with chiral and antichiral superpotentials. Using manifestly reparametrization covariant techniques (the background-quantum splitting and proper-time representation) in the ${\cal N}=1$ superspace we show how to define unambiguously the one-loop effective action. We introduce the reparametrization covariant derivatives acting on superfields and prove that their algebra is analogous to algebra in super Yang-Mills (SYM) theory. This analogy allows us to use for evaluation of the effective action in the theory under consideration methods developed for SYM theory. The divergencies for the model are obtained. It is shown that on general K\"ahler manifold the one-loop counterterms have the structure of a supersymmetric WZNW term. Leading finite contribution in covariant derivative expansion of the one-loop effective action (superfield $a_3$ coefficient) is calculated. |
1302.1198 | Natalia Toro | Philip Schuster and Natalia Toro | On the Theory of Continuous-Spin Particles: Wavefunctions and
Soft-Factor Scattering Amplitudes | 37 pages, 5 figure. version published in JHEP. References added,
redundant covariant basis of states added. Fixed some typos and inconsistent
sign conventions in earlier version | JHEP 1309 (2013) 104 | 10.1007/JHEP09(2013)104 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The most general massless particles allowed by Poincare-invariance are
"continuous-spin" particles (CSPs) characterized by a scale \rho, which at
\rho=0 reduce to familiar helicity particles. Though known long-range forces
are adequately modeled using helicity particles, it is not known whether CSPs
can also mediate long-range forces or what consequences such forces might have.
We present sharp evidence for consistent interactions of CSPs with matter: new
CSP equations of motion, wavefunctions, and covariant radiation amplitudes. In
a companion paper, we use these results to resolve old puzzles concerning CSP
thermodynamics and exhibit a striking correspondence limit where CSP amplitudes
approach helicity-0, 1 or 2 amplitudes.
| [
{
"created": "Tue, 5 Feb 2013 21:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Nov 2013 00:06:21 GMT",
"version": "v2"
}
] | 2013-11-05 | [
[
"Schuster",
"Philip",
""
],
[
"Toro",
"Natalia",
""
]
] | The most general massless particles allowed by Poincare-invariance are "continuous-spin" particles (CSPs) characterized by a scale \rho, which at \rho=0 reduce to familiar helicity particles. Though known long-range forces are adequately modeled using helicity particles, it is not known whether CSPs can also mediate long-range forces or what consequences such forces might have. We present sharp evidence for consistent interactions of CSPs with matter: new CSP equations of motion, wavefunctions, and covariant radiation amplitudes. In a companion paper, we use these results to resolve old puzzles concerning CSP thermodynamics and exhibit a striking correspondence limit where CSP amplitudes approach helicity-0, 1 or 2 amplitudes. |
hep-th/0305040 | Ergin Sezgin | E. Sezgin and P. Sundell | Holography in 4D (Super) Higher Spin Theories and a Test via Cubic
Scalar Couplings | 30pp | JHEP0507:044,2005 | 10.1088/1126-6708/2005/07/044 | null | hep-th | null | The correspondences proposed previously between higher spin gauge theories
and free singleton field theories were recently extended into a more complete
picture by Klebanov and Polyakov in the case of the minimal bosonic theory in
D=4 to include the strongly coupled fixed point of the 3d O(N) vector model.
Here we propose an N=1 supersymmetric version of this picture. We also
elaborate on the role of parity in constraining the bulk interactions, and in
distinguishing two minimal bosonic models obtained as two different consistent
truncations of the minimal N=1 model that retain the scalar or the
pseudo-scalar field. We refer to these models as the Type A and Type B models,
respectively, and conjecture that the latter is holographically dual to the 3d
Gross-Neveu model. In the case of the Type A model, we show the vanishing of
the three-scalar amplitude with regular boundary conditions. This agrees with
the O(N) vector model computation of Petkou, thereby providing a non-trivial
test of the Klebanov-Polyakov conjecture.
| [
{
"created": "Mon, 5 May 2003 20:43:06 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Sezgin",
"E.",
""
],
[
"Sundell",
"P.",
""
]
] | The correspondences proposed previously between higher spin gauge theories and free singleton field theories were recently extended into a more complete picture by Klebanov and Polyakov in the case of the minimal bosonic theory in D=4 to include the strongly coupled fixed point of the 3d O(N) vector model. Here we propose an N=1 supersymmetric version of this picture. We also elaborate on the role of parity in constraining the bulk interactions, and in distinguishing two minimal bosonic models obtained as two different consistent truncations of the minimal N=1 model that retain the scalar or the pseudo-scalar field. We refer to these models as the Type A and Type B models, respectively, and conjecture that the latter is holographically dual to the 3d Gross-Neveu model. In the case of the Type A model, we show the vanishing of the three-scalar amplitude with regular boundary conditions. This agrees with the O(N) vector model computation of Petkou, thereby providing a non-trivial test of the Klebanov-Polyakov conjecture. |
hep-th/0609074 | Per Kraus | Per Kraus | Lectures on black holes and the AdS_3 / CFT_2 correspondence | 55 pages. Lectures presented at the Winter School on the Attractor
Mechanism (Frascati, March 20-24, 2006). v2: references added | Lect.NotesPhys.755:193-247,2008 | null | null | hep-th | null | We present a detailed discussion of AdS_3 black holes and their connection to
two-dimensional conformal field theories via the AdS/CFT correspondence. Our
emphasis is on deriving refined versions of black hole partition functions,
that include the effect of higher derivative terms in the spacetime action as
well as non-perturbative effects. We include background material on gravity in
AdS_3, in the context of holographic renormalization.
| [
{
"created": "Mon, 11 Sep 2006 15:36:57 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2006 16:16:25 GMT",
"version": "v2"
}
] | 2008-12-18 | [
[
"Kraus",
"Per",
""
]
] | We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS_3, in the context of holographic renormalization. |
1706.05489 | Hiroki Sakamoto | Tomohiro Inagaki, Sergei D. Odintsov and Hiroki Sakamoto | An alternative attractor in gauged NJL inflation | 7 pages, 2 figures | null | 10.1209/0295-5075/118/29001 | HUPD1602 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have investigated the attractor structure for the CMB fluctuations in
composite inflation scenario within the gauged Nambu-Jona-Lasinio (NJL) model.
Such composite inflation represents an attractor which can not be found in a
fundamental scalar model. As is known, the number of inflationary models
contains the attractor classified by the $\alpha$-attractor model. It is found
that the attractor inflation in the gauged NJL model corresponds to the $\alpha
= 2$ case.
| [
{
"created": "Sat, 17 Jun 2017 08:09:41 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Inagaki",
"Tomohiro",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Sakamoto",
"Hiroki",
""
]
] | We have investigated the attractor structure for the CMB fluctuations in composite inflation scenario within the gauged Nambu-Jona-Lasinio (NJL) model. Such composite inflation represents an attractor which can not be found in a fundamental scalar model. As is known, the number of inflationary models contains the attractor classified by the $\alpha$-attractor model. It is found that the attractor inflation in the gauged NJL model corresponds to the $\alpha = 2$ case. |
2008.00607 | Kiyoshi Shiraishi | Nahomi Kan, Masashi Kuniyasu, Kiyoshi Shiraishi | Quantum fluctuation of stress tensor in a higher-derivative scalar field
theory around a cosmic string | 10 pages, 6 figures. final version | Int. J. Mod. Phys. A36 (2021) 20, 2150150 (9 pages) | 10.1142/S0217751X21501505 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We calculate the vacuum fluctuation of the stress tensor of a
higher-derivative theory around a thin cosmic string. To this end, we adopt the
method to obtain the stress tensor from the effective action developed by
Gibbons et al. By their method, the quantum stress tensor of higher-derivative
scalar theories without self-interaction is expressed as a simple sum of
quantum stress tensors of free massive scalar fields. Unlike the vacuum
expectation value of the scalar field squared obtained in the similar model,
there appears no reduction of the values near the conical singularity.
| [
{
"created": "Mon, 3 Aug 2020 02:01:17 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2020 05:54:55 GMT",
"version": "v2"
},
{
"created": "Sun, 31 Jan 2021 06:40:49 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Jun 2021 05:21:28 GMT",
"version": "v4"
},
{
"created": "Fri, 13 Aug 2021 02:42:09 GMT",
"version": "v5"
}
] | 2021-08-16 | [
[
"Kan",
"Nahomi",
""
],
[
"Kuniyasu",
"Masashi",
""
],
[
"Shiraishi",
"Kiyoshi",
""
]
] | We calculate the vacuum fluctuation of the stress tensor of a higher-derivative theory around a thin cosmic string. To this end, we adopt the method to obtain the stress tensor from the effective action developed by Gibbons et al. By their method, the quantum stress tensor of higher-derivative scalar theories without self-interaction is expressed as a simple sum of quantum stress tensors of free massive scalar fields. Unlike the vacuum expectation value of the scalar field squared obtained in the similar model, there appears no reduction of the values near the conical singularity. |
1805.04405 | Alessandro Vichi | David Poland, Slava Rychkov, Alessandro Vichi | The Conformal Bootstrap: Theory, Numerical Techniques, and Applications | 81 pages, double column, 58 figures; v3: updated references, minor
typos corrected | Rev. Mod. Phys. 91, 15002 (2019) | 10.1103/RevModPhys.91.015002 | null | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conformal field theories have been long known to describe the fascinating
universal physics of scale invariant critical points. They describe continuous
phase transitions in fluids, magnets, and numerous other materials, while at
the same time sit at the heart of our modern understanding of quantum field
theory. For decades it has been a dream to study these intricate strongly
coupled theories nonperturbatively using symmetries and other consistency
conditions. This idea, called the conformal bootstrap, saw some successes in
two dimensions but it is only in the last ten years that it has been fully
realized in three, four, and other dimensions of interest. This renaissance has
been possible both due to significant analytical progress in understanding how
to set up the bootstrap equations and the development of numerical techniques
for finding or constraining their solutions. These developments have led to a
number of groundbreaking results, including world record determinations of
critical exponents and correlation function coefficients in the Ising and
$O(N)$ models in three dimensions. This article will review these exciting
developments for newcomers to the bootstrap, giving an introduction to
conformal field theories and the theory of conformal blocks, describing
numerical techniques for the bootstrap based on convex optimization, and
summarizing in detail their applications to fixed points in three and four
dimensions with no or minimal supersymmetry.
| [
{
"created": "Fri, 11 May 2018 14:03:38 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2018 10:12:50 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Apr 2019 14:02:36 GMT",
"version": "v3"
}
] | 2019-04-18 | [
[
"Poland",
"David",
""
],
[
"Rychkov",
"Slava",
""
],
[
"Vichi",
"Alessandro",
""
]
] | Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same time sit at the heart of our modern understanding of quantum field theory. For decades it has been a dream to study these intricate strongly coupled theories nonperturbatively using symmetries and other consistency conditions. This idea, called the conformal bootstrap, saw some successes in two dimensions but it is only in the last ten years that it has been fully realized in three, four, and other dimensions of interest. This renaissance has been possible both due to significant analytical progress in understanding how to set up the bootstrap equations and the development of numerical techniques for finding or constraining their solutions. These developments have led to a number of groundbreaking results, including world record determinations of critical exponents and correlation function coefficients in the Ising and $O(N)$ models in three dimensions. This article will review these exciting developments for newcomers to the bootstrap, giving an introduction to conformal field theories and the theory of conformal blocks, describing numerical techniques for the bootstrap based on convex optimization, and summarizing in detail their applications to fixed points in three and four dimensions with no or minimal supersymmetry. |
hep-th/0309093 | Warren Siegel | W. Siegel | Stringy gravity at short distances | 5 pages, TeX; added reference | null | null | null | hep-th | null | Analysis of string interactions indicates a weakening of gravity at the
string length scale, thus avoiding black holes and their singularities.
| [
{
"created": "Tue, 9 Sep 2003 14:15:37 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2003 13:44:36 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Siegel",
"W.",
""
]
] | Analysis of string interactions indicates a weakening of gravity at the string length scale, thus avoiding black holes and their singularities. |
1408.6859 | Nadia Bolis | Andreas Albrecht, Nadia Bolis, R. Holman | Cosmological Consequences of Initial State Entanglement | 17 pages, 5 figures | null | 10.1007/JHEP11(2014)093 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the cosmological consequences of having the fluctuations of the
inflaton field entangled with those of another scalar, within the context of a
toy model consisting of non-interacting, minimally coupled scalars in a fixed
de Sitter background. We find that despite the lack of interactions in the
Lagrangian, the initial state entanglement modifies the mode equation for the
inflaton fluctuations and thus can induce changes in cosmological observables.
These effects are examined for a variety of choices of masses and we find that
they can be consistent with the requirement that the back reaction of the
modified state not affect the inflationary phase while still giving rise to
observable effects in the power spectrum. Our results suggest that more
realistic extensions of the ideas explored here beyond the simple toy model may
lead to interesting observable effects.
| [
{
"created": "Thu, 28 Aug 2014 20:31:53 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Albrecht",
"Andreas",
""
],
[
"Bolis",
"Nadia",
""
],
[
"Holman",
"R.",
""
]
] | We explore the cosmological consequences of having the fluctuations of the inflaton field entangled with those of another scalar, within the context of a toy model consisting of non-interacting, minimally coupled scalars in a fixed de Sitter background. We find that despite the lack of interactions in the Lagrangian, the initial state entanglement modifies the mode equation for the inflaton fluctuations and thus can induce changes in cosmological observables. These effects are examined for a variety of choices of masses and we find that they can be consistent with the requirement that the back reaction of the modified state not affect the inflationary phase while still giving rise to observable effects in the power spectrum. Our results suggest that more realistic extensions of the ideas explored here beyond the simple toy model may lead to interesting observable effects. |
2106.00249 | Fatemeh Ahmadi Kalateh Ahmad | A.Jahangiria, S.Miraboutalebi, F.Ahmadi, A.A.Masoudi | The solitary solutions of nonlinear Klein-Gordon field with minimal
length | 11 pages, 3 figures | Physics Letters B, 818, 2021, 136351 | 10.1016/j.physletb.2021.136351 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The existence of a minimal length is predicted by theories of quantum gravity
and it is generally accepted that this minimal length should be of the order of
the Planck length and hence can be observed in high energy phenomenon. We study
the implications of the presence of the minimal length on the Klein-Gordon
filed with {\phi}4self-interaction. Considering the process of spontaneous
symmetry breaking, the potential also includes the {\phi}3term. The consequent
field equation is a fourth-order differential equation and is considered to
have solitary solutions. The sech method is applied and the normalized
solutions are obtained in closed forms and the energy spectrum of the solitary
fields is determined. The modification parameter of the theory is estimated by
the width and the energy of the obtained solitary fields.
| [
{
"created": "Tue, 1 Jun 2021 06:15:50 GMT",
"version": "v1"
}
] | 2021-06-02 | [
[
"Jahangiria",
"A.",
""
],
[
"Miraboutalebi",
"S.",
""
],
[
"Ahmadi",
"F.",
""
],
[
"Masoudi",
"A. A.",
""
]
] | The existence of a minimal length is predicted by theories of quantum gravity and it is generally accepted that this minimal length should be of the order of the Planck length and hence can be observed in high energy phenomenon. We study the implications of the presence of the minimal length on the Klein-Gordon filed with {\phi}4self-interaction. Considering the process of spontaneous symmetry breaking, the potential also includes the {\phi}3term. The consequent field equation is a fourth-order differential equation and is considered to have solitary solutions. The sech method is applied and the normalized solutions are obtained in closed forms and the energy spectrum of the solitary fields is determined. The modification parameter of the theory is estimated by the width and the energy of the obtained solitary fields. |
0903.4747 | Francesco Bigazzi | Francesco Bigazzi, Aldo L. Cotrone, Angel Paredes, Alfonso V. Ramallo | Screening effects on meson masses from holography | 30 pages + appendices, 10 figures; v2: subsection 3.3.3 and some
comments added | JHEP 05(2009)034 | 10.1088/1126-6708/2009/05/034 | ITP-UU-09/12, SPIN-09/12, KUL-TF-09/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectra of scalar and vector mesons in four dimensional strongly
coupled SQCD-like theories in the Veneziano limit. The gauge theories describe
the low energy dynamics of intersecting D3 and D7-branes on the singular and
deformed conifold and their strong coupling regime can be explored by means of
dual fully backreacted supergravity backgrounds. The mesons we focus on are
dual to fluctuations of the worldvolume gauge field on a probe D7-brane in
these backgrounds. As we will comment in detail, the general occurrence of
various UV pathologies in the D3-D7 set-ups under study, forces us to adapt the
standard holographic recipes to theories with intrinsic cutoffs. Just as for
QED, the low energy spectra for mesonic-like bound states will be consistent
and largely independent of the UV cutoffs. We will study in detail how these
spectra vary with the number of the fundamental sea flavors and their mass.
| [
{
"created": "Fri, 27 Mar 2009 09:02:36 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2009 15:37:37 GMT",
"version": "v2"
}
] | 2009-05-13 | [
[
"Bigazzi",
"Francesco",
""
],
[
"Cotrone",
"Aldo L.",
""
],
[
"Paredes",
"Angel",
""
],
[
"Ramallo",
"Alfonso V.",
""
]
] | We study the spectra of scalar and vector mesons in four dimensional strongly coupled SQCD-like theories in the Veneziano limit. The gauge theories describe the low energy dynamics of intersecting D3 and D7-branes on the singular and deformed conifold and their strong coupling regime can be explored by means of dual fully backreacted supergravity backgrounds. The mesons we focus on are dual to fluctuations of the worldvolume gauge field on a probe D7-brane in these backgrounds. As we will comment in detail, the general occurrence of various UV pathologies in the D3-D7 set-ups under study, forces us to adapt the standard holographic recipes to theories with intrinsic cutoffs. Just as for QED, the low energy spectra for mesonic-like bound states will be consistent and largely independent of the UV cutoffs. We will study in detail how these spectra vary with the number of the fundamental sea flavors and their mass. |
hep-th/9406062 | Martin Rocek | Byungbae Kim, Ulf Lindstr\"om, and Martin Ro\v{c}ek | The Nonlinear Multiplet Revisited | 11 pages, ITP-SB-94-23, USITP-94-10 | Phys.Lett. B342 (1995) 99-104 | 10.1016/0370-2693(94)01388-S | null | hep-th | null | Using a reformulation of the nonlinear multiplet as a gauge multiplet, we
discuss its dynamics. We show that the nonlinear ``duality'' that appears to
relate the model to a conventional $\sigma$-model introduces a new sector into
the theory.
| [
{
"created": "Fri, 10 Jun 1994 17:40:26 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kim",
"Byungbae",
""
],
[
"Lindström",
"Ulf",
""
],
[
"Roček",
"Martin",
""
]
] | Using a reformulation of the nonlinear multiplet as a gauge multiplet, we discuss its dynamics. We show that the nonlinear ``duality'' that appears to relate the model to a conventional $\sigma$-model introduces a new sector into the theory. |
hep-th/0108133 | Norisuke Sakai | Masashi Naganuma, Muneto Nitta, and Norisuke Sakai | BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma
Models | 19pages, submitted to G\@C, special issue devoted to Quantum Gravity,
Unified Models and Strings to mark 100th anniversary of Tomsk state
Pedagogical University, Editor-Prof.S.D. Odintsov, Signs of SUSY conditions
are corrected in a few points | Grav.Cosmol.8:129-137,2002 | null | TIT/HEP-470, OU-HET 394 | hep-th | null | BPS lumps in ${\cal N}=2$ SUSY nonlinear sigma models on hyper-\kahler
manifolds in four dimensions are studied. We present new lump solutions with
various kinds of topological charges. New BPS equations and a new BPS bound,
expressed by the three complex structures on hyper-\kahler manifolds, are
found. We show that any states satisfying these BPS equations preserve 1/8
(1/4) SUSY of ${\cal N}=2$ SUSY nonlinear sigma models with (without) a
potential term. These BPS states include non-parallel multi-(Q-)lumps.
| [
{
"created": "Sat, 18 Aug 2001 05:40:55 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2001 11:39:30 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Naganuma",
"Masashi",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Sakai",
"Norisuke",
""
]
] | BPS lumps in ${\cal N}=2$ SUSY nonlinear sigma models on hyper-\kahler manifolds in four dimensions are studied. We present new lump solutions with various kinds of topological charges. New BPS equations and a new BPS bound, expressed by the three complex structures on hyper-\kahler manifolds, are found. We show that any states satisfying these BPS equations preserve 1/8 (1/4) SUSY of ${\cal N}=2$ SUSY nonlinear sigma models with (without) a potential term. These BPS states include non-parallel multi-(Q-)lumps. |
hep-th/9403175 | null | Jacek Pawe{\l}czyk | Toward QCD String: No Folds | 8 pages, latex, one figure (The paper has been rewritten, the regular
homotopy equivalence of different sectors is shown.) | Phys.Rev.Lett. 74 (1995) 3924-3926 | 10.1103/PhysRevLett.74.3924 | IFT-1/94 | hep-th | null | We propose a string theory model which explains several features of two
dimensional YM theory. Folds are suppressed. This in turn leads to the empty
theory in flat target spaces. The Nambu-Goto action appears in the usual way.
The model naturally splits into two (chiral) sectors: orientation preserving
maps and orientation reversing maps. Moreover it has a straightforward
extension to 3 and 4 dimensional space-times, which could be the rigid string
with the self-intersection number at $\theta=\pi$.
| [
{
"created": "Tue, 29 Mar 1994 16:31:12 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 1994 11:56:59 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Pawełczyk",
"Jacek",
""
]
] | We propose a string theory model which explains several features of two dimensional YM theory. Folds are suppressed. This in turn leads to the empty theory in flat target spaces. The Nambu-Goto action appears in the usual way. The model naturally splits into two (chiral) sectors: orientation preserving maps and orientation reversing maps. Moreover it has a straightforward extension to 3 and 4 dimensional space-times, which could be the rigid string with the self-intersection number at $\theta=\pi$. |
hep-th/0307243 | Archil Kobakhidze | Masud Chaichian and Archil Kobakhidze | Deformed N=1 supersymmetry | 9 pages, no figures, tcilatex | Phys.Rev. D71 (2005) 047501 | 10.1103/PhysRevD.71.047501 | null | hep-th | null | We consider a deformation of N=1 four dimensional Minkowski superspace where
odd coordinates $\theta^{\alpha}$ do not anticommute. We define supersymmetric
and associative star product and show how the remaining (anti)commutation
relations among the superspace coordinates are modified. In particular, the
even coordinates do not commute as well. We also study chiral and vector
superfields and their interactions. Suprisingly we find that ordinary
undeformed N=1 supersymmetric field theories are compatible with the deformed
supersymmetry considered.
| [
{
"created": "Thu, 24 Jul 2003 14:10:40 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Chaichian",
"Masud",
""
],
[
"Kobakhidze",
"Archil",
""
]
] | We consider a deformation of N=1 four dimensional Minkowski superspace where odd coordinates $\theta^{\alpha}$ do not anticommute. We define supersymmetric and associative star product and show how the remaining (anti)commutation relations among the superspace coordinates are modified. In particular, the even coordinates do not commute as well. We also study chiral and vector superfields and their interactions. Suprisingly we find that ordinary undeformed N=1 supersymmetric field theories are compatible with the deformed supersymmetry considered. |
hep-th/9505191 | Steven Kenneth Kauffmann | S. K. Kauffmann | Self-Gravitational Correction of the "Vacuum Polarization" Feynman
Diagram Using Full Einstein Equation Propagation of the Intermediate Virtual
Gravitons | 22 pages, LaTeX, uses mathlet.sty (attached at bottom) | null | null | null | hep-th gr-qc | null | The self-gravitational correction of the ultraviolet-divergent second- order
"vacuum polarization" radiative correction insertion Feynman diagram is carried
out using full, self-consistent Einstein equation propagation of the
intermediate virtual gravitons, which takes into account their important
non-linear interactions with each other. (As a by-product, the subsequent
perturbative treatment of these non-linearities is avoided, which eliminates
the source of the ultraviolet divergences of the second- quantized gravity
theory itself.) The corrected diagram is finite, makes no contribution to
charge renormalization (as could be expected of a diagram involving but a
single transient virtual pair), and its dynamical behaviour accords with the
standard quantum electrodynamics result except at inaccessibly extreme
(Planck-scale-related) values of the momentum transfer. There, the standard
logarithmic rise with momentum transfer which this diagram contributes to the
effective coupling strength falls away, as the diagram proceeds instead to
decrease strongly toward zero. The same self-gravitational correction is made
to the closely related quartically divergent second-order vacuum-to-vacuum
amplitude correction Feynman diagram, and it is found that the result vanishes
identically.
| [
{
"created": "Sun, 21 May 1995 16:54:37 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Kauffmann",
"S. K.",
""
]
] | The self-gravitational correction of the ultraviolet-divergent second- order "vacuum polarization" radiative correction insertion Feynman diagram is carried out using full, self-consistent Einstein equation propagation of the intermediate virtual gravitons, which takes into account their important non-linear interactions with each other. (As a by-product, the subsequent perturbative treatment of these non-linearities is avoided, which eliminates the source of the ultraviolet divergences of the second- quantized gravity theory itself.) The corrected diagram is finite, makes no contribution to charge renormalization (as could be expected of a diagram involving but a single transient virtual pair), and its dynamical behaviour accords with the standard quantum electrodynamics result except at inaccessibly extreme (Planck-scale-related) values of the momentum transfer. There, the standard logarithmic rise with momentum transfer which this diagram contributes to the effective coupling strength falls away, as the diagram proceeds instead to decrease strongly toward zero. The same self-gravitational correction is made to the closely related quartically divergent second-order vacuum-to-vacuum amplitude correction Feynman diagram, and it is found that the result vanishes identically. |
hep-th/9412118 | Bert Schellekens | A.N. Schellekens (NIKHEF, Amsterdam) | Modular Invariance and (Quasi)-Galois symmetry in Conformal Field Theory | 18 pages, phyzzx macro pkg, 3 figures | null | null | NIKHEF-H/94-38 | hep-th | null | A brief heuristic explanation is given of recent work with Juergen Fuchs,
Beatriz Gato-Rivera and Christoph Schweigert on the construction of modular
invariant partition functions from Galois symmetry in conformal field theory. A
generalization, which we call quasi-Galois symmetry, is also described. As an
application of the latter, the invariants of the exceptional algebras at level
$g$ (for example $E_8$ level 30) expected from conformal embeddings are
presented. [Contribution to the Proceedings of the International Symposium on
the Theory of Elementary Particles Wendisch-Rietz, August 30 - September 3,
1994]
| [
{
"created": "Wed, 14 Dec 1994 16:29:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schellekens",
"A. N.",
"",
"NIKHEF, Amsterdam"
]
] | A brief heuristic explanation is given of recent work with Juergen Fuchs, Beatriz Gato-Rivera and Christoph Schweigert on the construction of modular invariant partition functions from Galois symmetry in conformal field theory. A generalization, which we call quasi-Galois symmetry, is also described. As an application of the latter, the invariants of the exceptional algebras at level $g$ (for example $E_8$ level 30) expected from conformal embeddings are presented. [Contribution to the Proceedings of the International Symposium on the Theory of Elementary Particles Wendisch-Rietz, August 30 - September 3, 1994] |
1503.03696 | Julio Oliva | Alex Giacomini, Julio Oliva, Aldo Vera | Black Strings in Gauss-Bonnet Theory are Unstable | 10 pages, 1 figure. V2: Typos corrected and comments added. V3:
References added as well as further comments on the thermodynamics of the
black string in pure Gauss-Bonnet | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report the existence of unstable, s-wave modes, for black strings in
Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions.
This theory admits analytic uniform black strings that in the transverse
section are black holes of the same Gauss-Bonnet theory in six dimensions. All
the components of the perturbation can be written in terms of a single one and
its derivatives. For this latter component we find a master equation which
admits bounded solutions provided the characteristic time of the exponential
growth of the perturbation is related with the wave number along the extra
direction, as it occurs in General-Relativity. It is known that these
configurations suffer from a thermal instability, and therefore the results
presented here provide evidence for the Gubser-Mitra conjecture in the context
of Gauss-Bonnet theory. Due to the non-triviality of the curvature of the
background, all the components of the metric perturbation appear in the
linearized equations. As it occurs for spherical black holes, these black
strings should be obtained as the short distance $r<<\alpha^{1/2}$ limit of the
black string solution of Einstein-Gauss-Bonnet theory, which is not know
analytically, where $\alpha$ is the Gauss-Bonnet coupling.
| [
{
"created": "Thu, 12 Mar 2015 12:43:24 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Mar 2015 18:26:08 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2015 17:22:53 GMT",
"version": "v3"
}
] | 2015-05-08 | [
[
"Giacomini",
"Alex",
""
],
[
"Oliva",
"Julio",
""
],
[
"Vera",
"Aldo",
""
]
] | We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions. This theory admits analytic uniform black strings that in the transverse section are black holes of the same Gauss-Bonnet theory in six dimensions. All the components of the perturbation can be written in terms of a single one and its derivatives. For this latter component we find a master equation which admits bounded solutions provided the characteristic time of the exponential growth of the perturbation is related with the wave number along the extra direction, as it occurs in General-Relativity. It is known that these configurations suffer from a thermal instability, and therefore the results presented here provide evidence for the Gubser-Mitra conjecture in the context of Gauss-Bonnet theory. Due to the non-triviality of the curvature of the background, all the components of the metric perturbation appear in the linearized equations. As it occurs for spherical black holes, these black strings should be obtained as the short distance $r<<\alpha^{1/2}$ limit of the black string solution of Einstein-Gauss-Bonnet theory, which is not know analytically, where $\alpha$ is the Gauss-Bonnet coupling. |
0811.3264 | Anton Kapustin | Anton Kapustin | A Note on Quantum Geometric Langlands Duality, Gauge Theory, and
Quantization of the Moduli Space of Flat Connections | 18 pages, AMS latex | null | null | null | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Montonen-Olive duality implies that the categories of A-branes on the moduli
spaces of Higgs bundles on a Riemann surface C for a pair of Langlands-dual
groups are equivalent. We reformulate this as a statement about categories of
B-branes on the quantized moduli spaces of flat connections for these groups.
We show that it implies the statement of the Quantum Geometric Langlands
duality with a purely imaginary ``quantum parameter'' which is proportional to
the inverse of the Planck constant of the gauge theory. The ramified version of
the story is also considered.
| [
{
"created": "Thu, 20 Nov 2008 19:12:48 GMT",
"version": "v1"
}
] | 2008-11-21 | [
[
"Kapustin",
"Anton",
""
]
] | Montonen-Olive duality implies that the categories of A-branes on the moduli spaces of Higgs bundles on a Riemann surface C for a pair of Langlands-dual groups are equivalent. We reformulate this as a statement about categories of B-branes on the quantized moduli spaces of flat connections for these groups. We show that it implies the statement of the Quantum Geometric Langlands duality with a purely imaginary ``quantum parameter'' which is proportional to the inverse of the Planck constant of the gauge theory. The ramified version of the story is also considered. |
hep-th/0611272 | Steven Gubser | Steven S. Gubser | Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory
and QCD | 16 pages, 1 figure. v2: corrected estimate of eta/s, refs added | Phys.Rev.D76:126003,2007 | 10.1103/PhysRevD.76.126003 | PUPT-2217 | hep-th | null | Computations of the drag force on a heavy quark moving through a thermal
state of strongly coupled N=4 super-Yang-Mills theory have appeared recently in
hep-th/0605158, hep-ph/0605199, and hep-th/0605182. I compare the strength of
this effect between N=4 gauge theory and QCD, using the static force between
external quarks to normalize the 't Hooft coupling. Comparing N=4 and QCD at
fixed energy density then leads to a relaxation time of roughly 2 fm/c for
charm quarks moving through a quark-gluon plasma at T=250 MeV. This estimate
should be regarded as preliminary because of the difficulties of comparing two
such different theories.
| [
{
"created": "Fri, 24 Nov 2006 20:48:04 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2006 22:57:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gubser",
"Steven S.",
""
]
] | Computations of the drag force on a heavy quark moving through a thermal state of strongly coupled N=4 super-Yang-Mills theory have appeared recently in hep-th/0605158, hep-ph/0605199, and hep-th/0605182. I compare the strength of this effect between N=4 gauge theory and QCD, using the static force between external quarks to normalize the 't Hooft coupling. Comparing N=4 and QCD at fixed energy density then leads to a relaxation time of roughly 2 fm/c for charm quarks moving through a quark-gluon plasma at T=250 MeV. This estimate should be regarded as preliminary because of the difficulties of comparing two such different theories. |
hep-th/9612033 | Marc Achhammer | Marc Achhammer, Ulrich Heinz, Stefan Leupold and Urs Achim Wiedemann | Gauge Invariance of Resummation Schemes: The QCD Partition Function | 29 pages, LaTeX, using RevTeX and feynmf.sty, Replacement: NO changes
to the paper, TeX-source now additionally avaible | Annals Phys.261:1-36,1997 | 10.1006/aphy.1997.5730 | TPR-96-23 | hep-th hep-ph | null | We pick up a method originally developed by Cheng and Tsai for vacuum
perturbation theory which allows to test the consistency of different sets of
Feynman rules on a purely diagrammatic level, making explicit loop calculations
superfluous. We generalize it to perturbative calculations in thermal field
theory and we show that it can be adapted to check the gauge invariance of
physical quantities calculated in improved perturbation schemes. Specifically,
we extend this diagrammatic technique to a simple resummation scheme in
imaginary time perturbation theory. As an application, we check up to O(g^4) in
general covariant gauge the gauge invariance of the result for the QCD
partition function which was recently obtained in Feynman gauge.
| [
{
"created": "Tue, 3 Dec 1996 09:42:39 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 1996 09:06:36 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Achhammer",
"Marc",
""
],
[
"Heinz",
"Ulrich",
""
],
[
"Leupold",
"Stefan",
""
],
[
"Wiedemann",
"Urs Achim",
""
]
] | We pick up a method originally developed by Cheng and Tsai for vacuum perturbation theory which allows to test the consistency of different sets of Feynman rules on a purely diagrammatic level, making explicit loop calculations superfluous. We generalize it to perturbative calculations in thermal field theory and we show that it can be adapted to check the gauge invariance of physical quantities calculated in improved perturbation schemes. Specifically, we extend this diagrammatic technique to a simple resummation scheme in imaginary time perturbation theory. As an application, we check up to O(g^4) in general covariant gauge the gauge invariance of the result for the QCD partition function which was recently obtained in Feynman gauge. |
2103.13422 | Victor Godet | Victor Godet and Charles Marteau | From black holes to baby universes in CGHS gravity | 55 pages, v2: minor changes, published version | null | 10.1007/JHEP07(2021)138 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study $\widehat{\text{CGHS}}$ gravity, a variant of the matterless
Callan-Giddings-Harvey-Strominger model. We show that it describes a universal
sector of the near horizon perturbations of non-extremal black holes in higher
dimensions. In many respects this theory can be viewed as a flat space analog
of Jackiw-Teitelboim gravity. The result for the Euclidean path integral
implies that $\widehat{\text{CGHS}}$ is dual to a Gaussian ensemble that we
describe in detail. The simplicity of this theory allows us to compute exact
quantities such as the quenched free energy and provides a useful playground to
study baby universes, averages and factorization. We also give evidence for the
existence of a non-perturbative completion in terms of a matrix model. Finally,
flat wormhole solutions are discussed.
| [
{
"created": "Wed, 24 Mar 2021 18:09:11 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2021 09:29:06 GMT",
"version": "v2"
}
] | 2021-07-22 | [
[
"Godet",
"Victor",
""
],
[
"Marteau",
"Charles",
""
]
] | We study $\widehat{\text{CGHS}}$ gravity, a variant of the matterless Callan-Giddings-Harvey-Strominger model. We show that it describes a universal sector of the near horizon perturbations of non-extremal black holes in higher dimensions. In many respects this theory can be viewed as a flat space analog of Jackiw-Teitelboim gravity. The result for the Euclidean path integral implies that $\widehat{\text{CGHS}}$ is dual to a Gaussian ensemble that we describe in detail. The simplicity of this theory allows us to compute exact quantities such as the quenched free energy and provides a useful playground to study baby universes, averages and factorization. We also give evidence for the existence of a non-perturbative completion in terms of a matrix model. Finally, flat wormhole solutions are discussed. |
1408.2345 | Anzhong Wang | Bao-Fei Li, Anzhong Wang, Yumei Wu, and Zhong Chao Wu | Quantization of (1+1)-dimensional Ho\v{r}ava-Lifshitz theory of gravity | Revtex4, 4 figures. Typos are further corrected | Phys. Rev. D 90, 124076 (2014) | 10.1103/PhysRevD.90.124076 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the quantization of the (1+1)-dimensional projectable
Ho\v{r}ava-Lifshitz (HL) gravity, and find that, when only gravity is present,
the system can be quantized by following the canonical Dirac quantization, and
the corresponding wavefunction is normalizable for some orderings of the
operators. The corresponding Hamilton can also be written in terms of a simple
harmonic oscillator, whereby the quantization can be carried out quantum
mechanically in the standard way. When the HL gravity minimally couples to a
scalar field, the momentum constraint is solved explicitly in the case where
the fundamental variables are functions of time only. In this case, the coupled
system can also be quantized by following the Dirac process, and the
corresponding wavefunction is also normalizable for some particular orderings
of the operators. The Hamilton can be also written in terms of two interacting
harmonic oscillators. But, when the interaction is turned off, one of the
harmonic oscillators has positive energy, while the other has negative energy.
A remarkable feature is that orderings of the operators from a classical
Hamilton to a quantum mechanical one play a fundamental role in order for the
Wheeler-DeWitt equation to have nontrivial solutions. In addition, the
space-time is well quantized, even when it is classically singular.
| [
{
"created": "Mon, 11 Aug 2014 08:10:56 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 2014 19:56:05 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2014 02:12:51 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Dec 2014 18:54:22 GMT",
"version": "v4"
}
] | 2015-01-07 | [
[
"Li",
"Bao-Fei",
""
],
[
"Wang",
"Anzhong",
""
],
[
"Wu",
"Yumei",
""
],
[
"Wu",
"Zhong Chao",
""
]
] | In this paper, we study the quantization of the (1+1)-dimensional projectable Ho\v{r}ava-Lifshitz (HL) gravity, and find that, when only gravity is present, the system can be quantized by following the canonical Dirac quantization, and the corresponding wavefunction is normalizable for some orderings of the operators. The corresponding Hamilton can also be written in terms of a simple harmonic oscillator, whereby the quantization can be carried out quantum mechanically in the standard way. When the HL gravity minimally couples to a scalar field, the momentum constraint is solved explicitly in the case where the fundamental variables are functions of time only. In this case, the coupled system can also be quantized by following the Dirac process, and the corresponding wavefunction is also normalizable for some particular orderings of the operators. The Hamilton can be also written in terms of two interacting harmonic oscillators. But, when the interaction is turned off, one of the harmonic oscillators has positive energy, while the other has negative energy. A remarkable feature is that orderings of the operators from a classical Hamilton to a quantum mechanical one play a fundamental role in order for the Wheeler-DeWitt equation to have nontrivial solutions. In addition, the space-time is well quantized, even when it is classically singular. |
1302.0493 | Mohammad Reza Setare | M. R. Setare and V. Kamali | Cosmological perturbations in warm-tachyon inflationary universe model
with viscous pressure on the brane | 27 pages, 6 figures, accepted for publication by JHEP | null | 10.1007/JHEP03(2013)066 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study warm-viscous inflationary universe model on the brane, in a tachyon
field theory. We obtain the general conditions which are required for this
model to be realizable. In longitudinal gauge, the primoradial perturbation
parameters are found in great details, using slow-roll and quasi-stable
approximations. The general expressions of the tensor-to-scalar ratio, scalar
spectral index and its running are found. We derive the characteristics of the
inflationary universe model by using an effective exponential potential in two
cases: 1- Dissipative parameter $\Gamma$ and bulk viscous parameter $\zeta$ are
constant parameters. 2- Dissipative parameter as a function of tachyon field
$\phi$ and bulk viscous parameter as a function of radiation-matter mixture
energy density $\rho$. The parameters of the model are restricted by recent
observational data from the seven-year Wilkinson microwave anisotropy probe
(WMAP7).
| [
{
"created": "Sun, 3 Feb 2013 14:05:44 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Feb 2013 06:36:35 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Setare",
"M. R.",
""
],
[
"Kamali",
"V.",
""
]
] | We study warm-viscous inflationary universe model on the brane, in a tachyon field theory. We obtain the general conditions which are required for this model to be realizable. In longitudinal gauge, the primoradial perturbation parameters are found in great details, using slow-roll and quasi-stable approximations. The general expressions of the tensor-to-scalar ratio, scalar spectral index and its running are found. We derive the characteristics of the inflationary universe model by using an effective exponential potential in two cases: 1- Dissipative parameter $\Gamma$ and bulk viscous parameter $\zeta$ are constant parameters. 2- Dissipative parameter as a function of tachyon field $\phi$ and bulk viscous parameter as a function of radiation-matter mixture energy density $\rho$. The parameters of the model are restricted by recent observational data from the seven-year Wilkinson microwave anisotropy probe (WMAP7). |
0704.1117 | Rudnei O. Ramos | Rudnei O. Ramos, J. F. Medeiros Neto, Daniel G. Barci and Cesar A.
Linhares | Condensation of Vortex-Strings: Effective Potential Contribution Through
Dual Actions | 7 pages. Based on a talk given by R. O. Ramos at the Infrared QCD in
Rio conference, Rio de Janeiro, Brazil, June 5-9, 2006 | Braz.J.Phys.37:251-257,2007 | 10.1590/S0103-97332007000200015 | null | hep-th cond-mat.supr-con hep-ph | null | Topological excitations are believed to play an important role in different
areas of physics. For example, one case of topical interest is the use of dual
models of quantum cromodynamics to understand properties of its vacuum and
confinement through the condensation of magnetic monopoles and vortices. Other
applications are related to the role of these topological excitations,
nonhomogeneous solutions of the field equations, in phase transitions
associated to spontaneous symmetry breaking in gauge theories, whose study is
of importance in phase transitions in the early universe, for instance. Here we
show a derivation of a model dual to the scalar Abelian Higgs model where its
topological excitations, namely vortex-strings, become manifest and can be
treated in a quantum field theory way. The derivation of the nontrivial
contribution of these vacuum excitations to phase transitions and its analogy
with superconductivity is then made possible and they are studied here.
| [
{
"created": "Mon, 9 Apr 2007 15:55:52 GMT",
"version": "v1"
}
] | 2011-08-04 | [
[
"Ramos",
"Rudnei O.",
""
],
[
"Neto",
"J. F. Medeiros",
""
],
[
"Barci",
"Daniel G.",
""
],
[
"Linhares",
"Cesar A.",
""
]
] | Topological excitations are believed to play an important role in different areas of physics. For example, one case of topical interest is the use of dual models of quantum cromodynamics to understand properties of its vacuum and confinement through the condensation of magnetic monopoles and vortices. Other applications are related to the role of these topological excitations, nonhomogeneous solutions of the field equations, in phase transitions associated to spontaneous symmetry breaking in gauge theories, whose study is of importance in phase transitions in the early universe, for instance. Here we show a derivation of a model dual to the scalar Abelian Higgs model where its topological excitations, namely vortex-strings, become manifest and can be treated in a quantum field theory way. The derivation of the nontrivial contribution of these vacuum excitations to phase transitions and its analogy with superconductivity is then made possible and they are studied here. |
hep-th/0611056 | Satoshi Nagaoka | Yoshihisa Kitazawa and Satoshi Nagaoka | Graviton Propagators in Supergravity and Noncommutative Gauge Theory | 19 pages | Phys.Rev.D75:046007,2007 | 10.1103/PhysRevD.75.046007 | KEK-TH-1113 | hep-th | null | We investigate the graviton propagator in the type IIB supergravity
background which is dual to 4 dimensional noncommutative gauge theory. We
assume that the boundary is located not at the infinity but at the
noncommutative scale where the string frame metric exhibits the maximum. We
argue that the Neumann boundary condition is the appropriate boundary condition
to be adopted at the boundary. We find that the graviton propagator behaves
just as that of the 4 dimensional massless graviton. On the other hand, the
non-analytic behaviors of the other Kaluza-Klein modes are not significantly
affected by the Neumann boundary condition.
| [
{
"created": "Mon, 6 Nov 2006 03:46:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kitazawa",
"Yoshihisa",
""
],
[
"Nagaoka",
"Satoshi",
""
]
] | We investigate the graviton propagator in the type IIB supergravity background which is dual to 4 dimensional noncommutative gauge theory. We assume that the boundary is located not at the infinity but at the noncommutative scale where the string frame metric exhibits the maximum. We argue that the Neumann boundary condition is the appropriate boundary condition to be adopted at the boundary. We find that the graviton propagator behaves just as that of the 4 dimensional massless graviton. On the other hand, the non-analytic behaviors of the other Kaluza-Klein modes are not significantly affected by the Neumann boundary condition. |
hep-th/9812212 | Gordon Chalmers | G. Chalmers, M. Rocek, S. Wiles | Degeneration of ALF D_n Metrics | 14 pages, 7 figures, LaTeX, minor corrections, to appear in JHEP | JHEP 9901:009,1999 | 10.1088/1126-6708/1999/01/009 | ANL-HEP-PR-98-140, ITP-SB-98-72 | hep-th | null | Beginning with the Legendre transform construction of hyperk\"ahler metrics,
we analyze the ALF version of the D_n metrics. We determine the constraint
equation obtained from extremizing the $w$ coordinate of the generating
function F(z,\bar{z},u,\bar{u},w) and study its behavior as we send two of the
mass parameters of the $D_n$ metric to zero. We find that the constraint
equation enforces the limit that the metric becomes that of multi-Taub-NUT.
| [
{
"created": "Tue, 22 Dec 1998 22:18:41 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 1998 04:42:39 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jan 1999 19:10:23 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Chalmers",
"G.",
""
],
[
"Rocek",
"M.",
""
],
[
"Wiles",
"S.",
""
]
] | Beginning with the Legendre transform construction of hyperk\"ahler metrics, we analyze the ALF version of the D_n metrics. We determine the constraint equation obtained from extremizing the $w$ coordinate of the generating function F(z,\bar{z},u,\bar{u},w) and study its behavior as we send two of the mass parameters of the $D_n$ metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT. |
hep-th/0512080 | Mher Grigoryan L. | M.L. Grigoryan | Intense radiation from a relativistic electron rotating about a
dielectric ball | 9 pages, 1 figure, presented at the RSNE NANO-2005 Conference,
Moscow, 14-19 November, 2005 | null | null | null | hep-th cond-mat.other | null | The radiation from a relativistic electron uniformly rotating along an orbit
in the equatorial plane of a dielectric ball was calculated taking into account
the dielectric losses of energy and dispersion of electromagnetic oscillations
inside the substance of ball. It was shown that due to the presence of ball the
radiation from the particle at some harmonics may be several dozens of times
more intense than that from the particle rotating in an infinite homogeneous
(and transparent) dielectric. The generation of such a high power radiation is
possible only at some particular values of the ratio of ball radius to that of
electron orbit and when the Cherenkov condition for the ball material and the
velocity of particle "image" on the ball surface is met.
| [
{
"created": "Wed, 7 Dec 2005 09:56:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grigoryan",
"M. L.",
""
]
] | The radiation from a relativistic electron uniformly rotating along an orbit in the equatorial plane of a dielectric ball was calculated taking into account the dielectric losses of energy and dispersion of electromagnetic oscillations inside the substance of ball. It was shown that due to the presence of ball the radiation from the particle at some harmonics may be several dozens of times more intense than that from the particle rotating in an infinite homogeneous (and transparent) dielectric. The generation of such a high power radiation is possible only at some particular values of the ratio of ball radius to that of electron orbit and when the Cherenkov condition for the ball material and the velocity of particle "image" on the ball surface is met. |
1510.01184 | Bayram Tekin | Ibrahim Gullu, Tahsin Cagri Sisman, Bayram Tekin | Born-Infeld Gravity with a Unique Vacuum and a Massless Graviton | 27 pages, 2 figures. v2: Added discussions | Phys. Rev. D 92, 104014 (2015) | 10.1103/PhysRevD.92.104014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an n-dimensional Born-Infeld type gravity theory that has the
same properties as Einstein's gravity in terms of the vacuum and particle
content: Namely, the theory has a unique viable vacuum (maximally symmetric
solution) and a single massless unitary spin-2 graviton about this vacuum. The
BI gravity, in some sense, is the most natural, minimal generalization of
Einstein's gravity with a better UV behavior, and hence, is a potentially
viable proposal for low energy quantum gravity. The Gauss-Bonnet combination
plays a non-trivial role in the construction of the theory. As an extreme
example, we consider the infinite dimensional limit where an interesting
exponential gravity arises.
| [
{
"created": "Mon, 5 Oct 2015 15:32:39 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Oct 2015 15:54:58 GMT",
"version": "v2"
}
] | 2015-11-11 | [
[
"Gullu",
"Ibrahim",
""
],
[
"Sisman",
"Tahsin Cagri",
""
],
[
"Tekin",
"Bayram",
""
]
] | We construct an n-dimensional Born-Infeld type gravity theory that has the same properties as Einstein's gravity in terms of the vacuum and particle content: Namely, the theory has a unique viable vacuum (maximally symmetric solution) and a single massless unitary spin-2 graviton about this vacuum. The BI gravity, in some sense, is the most natural, minimal generalization of Einstein's gravity with a better UV behavior, and hence, is a potentially viable proposal for low energy quantum gravity. The Gauss-Bonnet combination plays a non-trivial role in the construction of the theory. As an extreme example, we consider the infinite dimensional limit where an interesting exponential gravity arises. |
0905.0473 | Tatsuma Nishioka | Tatsuma Nishioka | Horava-Lifshitz Holography | 7 pages | Class.Quant.Grav.26:242001,2009 | 10.1088/0264-9381/26/24/242001 | KUNS-2206 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the detailed balance condition as a solution to the Hamilton-Jacobi
equation in the Horava-Lifshitz gravity. This result leads us to propose the
existence of the d-dimensional quantum field theory on the future boundary of
the (d+1)-dimensional Horava-Lifshitz gravity from the viewpoint of the
holographic renormalization group. We also obtain a Ricci flow equation of the
boundary theory as the holographic RG flow, which is the Hamilton equation in
the bulk gravity, by tuning parameters in the theory.
| [
{
"created": "Tue, 5 May 2009 10:48:00 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Nishioka",
"Tatsuma",
""
]
] | We derive the detailed balance condition as a solution to the Hamilton-Jacobi equation in the Horava-Lifshitz gravity. This result leads us to propose the existence of the d-dimensional quantum field theory on the future boundary of the (d+1)-dimensional Horava-Lifshitz gravity from the viewpoint of the holographic renormalization group. We also obtain a Ricci flow equation of the boundary theory as the holographic RG flow, which is the Hamilton equation in the bulk gravity, by tuning parameters in the theory. |
hep-th/9812093 | Costas Bachas | I. Antoniadis and C. Bachas | Branes and the Gauge Hierarchy | 15 pages, TeX file, harvmac, one eps.figure. Small changes and added
references. Final version to appear in Physics Letters B | Phys.Lett. B450 (1999) 83-91 | 10.1016/S0370-2693(99)00102-1 | CPTH-S693.1298, LPTENS-98/44 | hep-th hep-ph | null | If the fundamental type-I string scale is of the order of few TeV, the
problem of the gauge hierarchy is that of understanding why some dimensions
transverse to our brane-world are so large. The technical aspect of this
problem, as usually formulated, is `why quantum corrections do not modify
drastically the masses and other parameters of the Standard Model'. We argue
that within type-I perturbation theory, the technical hierarchy problem is
solved (a) if all massless tadpoles cancel locally over distances of order the
string length in the transverse space, or (b) if the massless fields with
uncancelled local tadpoles propagate `effectively' in $d_\perp \ge 2$ large
transverse dimensions. These restrictions ensure that loop corrections to the
Standard Model parameters decouple from the four-dimensional Planck scale,
except when there are uncancelled tadpoles in $d_\perp =2$ in which case the
dependence on $M_P$ is logarithmic. This latter case is thus singled out as the
only one in which the origin of the hierarchy would not be attributed entirely
to `out of this world' bulk physics. The role of the renormalization group
equations in summing the leading large logs is replaced by the classical 2d
supergravity equations in the transverse space.
| [
{
"created": "Fri, 11 Dec 1998 04:06:46 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 1999 17:43:18 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Antoniadis",
"I.",
""
],
[
"Bachas",
"C.",
""
]
] | If the fundamental type-I string scale is of the order of few TeV, the problem of the gauge hierarchy is that of understanding why some dimensions transverse to our brane-world are so large. The technical aspect of this problem, as usually formulated, is `why quantum corrections do not modify drastically the masses and other parameters of the Standard Model'. We argue that within type-I perturbation theory, the technical hierarchy problem is solved (a) if all massless tadpoles cancel locally over distances of order the string length in the transverse space, or (b) if the massless fields with uncancelled local tadpoles propagate `effectively' in $d_\perp \ge 2$ large transverse dimensions. These restrictions ensure that loop corrections to the Standard Model parameters decouple from the four-dimensional Planck scale, except when there are uncancelled tadpoles in $d_\perp =2$ in which case the dependence on $M_P$ is logarithmic. This latter case is thus singled out as the only one in which the origin of the hierarchy would not be attributed entirely to `out of this world' bulk physics. The role of the renormalization group equations in summing the leading large logs is replaced by the classical 2d supergravity equations in the transverse space. |
1205.4741 | Noppadol Mekareeya | Amihay Hanany, Noppadol Mekareeya and Shlomo S. Razamat | Hilbert Series for Moduli Spaces of Two Instantons | 53 pages, 9 tables, 24 figures | null | 10.1007/JHEP01(2013)070 | IMPERIAL/TP/12/AH/02; MPP-2012-91 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Hilbert Series (HS) of the moduli space of two G instantons on C^2, where
G is a simple gauge group, is studied in detail. For a given G, the moduli
space is a singular hyperKahler cone with a symmetry group U(2) \times G, where
U(2) is the natural symmetry group of C^2. Holomorphic functions on the moduli
space transform in irreducible representations of the symmetry group and hence
the Hilbert series admits a character expansion. For cases that G is a
classical group (of type A, B, C, or D), there is an ADHM construction which
allows us to compute the HS explicitly using a contour integral. For cases that
G is of E-type, recent index results allow for an explicit computation of the
HS. The character expansion can be expressed as an infinite sum which lives on
a Cartesian lattice that is generated by a small number of representations.
This structure persists for all G and allows for an explicit expressions of the
HS to all simple groups. For cases that G is of type G_2 or F_4, discrete
symmetries are enough to evaluate the HS exactly, even though neither ADHM
construction nor index is known for these cases.
| [
{
"created": "Mon, 21 May 2012 20:31:28 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Razamat",
"Shlomo S.",
""
]
] | The Hilbert Series (HS) of the moduli space of two G instantons on C^2, where G is a simple gauge group, is studied in detail. For a given G, the moduli space is a singular hyperKahler cone with a symmetry group U(2) \times G, where U(2) is the natural symmetry group of C^2. Holomorphic functions on the moduli space transform in irreducible representations of the symmetry group and hence the Hilbert series admits a character expansion. For cases that G is a classical group (of type A, B, C, or D), there is an ADHM construction which allows us to compute the HS explicitly using a contour integral. For cases that G is of E-type, recent index results allow for an explicit computation of the HS. The character expansion can be expressed as an infinite sum which lives on a Cartesian lattice that is generated by a small number of representations. This structure persists for all G and allows for an explicit expressions of the HS to all simple groups. For cases that G is of type G_2 or F_4, discrete symmetries are enough to evaluate the HS exactly, even though neither ADHM construction nor index is known for these cases. |
hep-th/9608161 | Andrei Marshakov | A.Marshakov | Integrability as Effective Principle of Nonperturbative Field and String
Theories | 5 pages, LaTeX, no figures; based on a talk given at the Second
International Sakharov Conference, 20-24 May 1996, Moscow, Russia | null | null | FIAN/TD-13/96, ITEP/TH-25/96 | hep-th | null | One of the perspectives in modern quantum field and string theory is related
with the attempts to go beyond the perturbation theory. It turns out that a key
principle in the formulation of all known non-perturbative results is {\it
integrability}, i.e. arising of the structures of completely integrable
systems. I discuss several important steps in this direction and speculate on
its further possible development.
| [
{
"created": "Sun, 25 Aug 1996 14:19:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Marshakov",
"A.",
""
]
] | One of the perspectives in modern quantum field and string theory is related with the attempts to go beyond the perturbation theory. It turns out that a key principle in the formulation of all known non-perturbative results is {\it integrability}, i.e. arising of the structures of completely integrable systems. I discuss several important steps in this direction and speculate on its further possible development. |
0802.3321 | Sharmanthie Fernando | Sharmanthie Fernando | Quasinormal Modes of Charged Scalars around Dilaton Black Holes in 2+1
Dimensions: Exact Frequencies | 20 pages and 7 figures, some references are added and some removed.
There are some changes to the text. arXiv admin note: text overlap with
arXiv:hep-th/0407163 | Phys.Rev.D77:124005,2008 | 10.1103/PhysRevD.77.124005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the charged scalar perturbation around a dilaton black hole
in 2 +1 dimensions. The wave equations of a massless charged scalar field is
shown to be exactly solvable in terms of hypergeometric functions. The
quasinormal frequencies are computed exactly. The relation between the
quasinormal frequencies and the charge of the black hole, charge of the scalar
and the temperature of the black hole are analyzed. The asymptotic form of the
real part of the quasinormal frequencies are evaluated exactly.
| [
{
"created": "Fri, 22 Feb 2008 18:48:34 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2008 18:46:28 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Apr 2008 16:56:45 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Fernando",
"Sharmanthie",
""
]
] | We have studied the charged scalar perturbation around a dilaton black hole in 2 +1 dimensions. The wave equations of a massless charged scalar field is shown to be exactly solvable in terms of hypergeometric functions. The quasinormal frequencies are computed exactly. The relation between the quasinormal frequencies and the charge of the black hole, charge of the scalar and the temperature of the black hole are analyzed. The asymptotic form of the real part of the quasinormal frequencies are evaluated exactly. |
1708.02953 | Basem Mahmoud El-Menoufi | Barry M. Dillon, Basem Kamal El-Menoufi, Stephan J. Huber, Jonathan P.
Manuel | A rapid holographic phase transition with brane-localized curvature | 23 pages, 14 figures, v3: a new sub-section is added to further
elaborate on the black hole contribution to tunneling. Matches the published
version | Phys. Rev. D 98, 086005 (2018) | 10.1103/PhysRevD.98.086005 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the finite-temperature properties of the Randall-Sundrum model in
the presence of brane-localized curvature. At high temperature, as dictated by
AdS/CFT, the theory is in a confined phase dual to the planar AdS black hole.
When the radion is stabilized, \`a la Goldberger-Wise, a holographic
first-order phase transition proceeds. The brane-localized curvature
contributes to the radion kinetic energy, substantially decreasing the critical
bubble energy. Contrary to previous results, the phase transition completes at
much larger values of $N$, the number of degrees of freedom in the CFT.
Moreover, the field value of the bulk scalar on the TeV-brane is allowed to
become large, while remaining consistent with back-reaction constraints.
Assisted by this fact, we find that for a wide region in the parameter space
tunneling happens rather quickly, i.e. the nucleation temperature becomes of
the order of the critical temperature. At zero temperature, the most important
signature of brane-localized curvature is the reduction of spin-2 Kaluza-Klein
graviton masses and a heavier radion.
| [
{
"created": "Wed, 9 Aug 2017 18:01:02 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 2017 10:39:06 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Oct 2018 15:13:42 GMT",
"version": "v3"
}
] | 2018-10-12 | [
[
"Dillon",
"Barry M.",
""
],
[
"El-Menoufi",
"Basem Kamal",
""
],
[
"Huber",
"Stephan J.",
""
],
[
"Manuel",
"Jonathan P.",
""
]
] | We study the finite-temperature properties of the Randall-Sundrum model in the presence of brane-localized curvature. At high temperature, as dictated by AdS/CFT, the theory is in a confined phase dual to the planar AdS black hole. When the radion is stabilized, \`a la Goldberger-Wise, a holographic first-order phase transition proceeds. The brane-localized curvature contributes to the radion kinetic energy, substantially decreasing the critical bubble energy. Contrary to previous results, the phase transition completes at much larger values of $N$, the number of degrees of freedom in the CFT. Moreover, the field value of the bulk scalar on the TeV-brane is allowed to become large, while remaining consistent with back-reaction constraints. Assisted by this fact, we find that for a wide region in the parameter space tunneling happens rather quickly, i.e. the nucleation temperature becomes of the order of the critical temperature. At zero temperature, the most important signature of brane-localized curvature is the reduction of spin-2 Kaluza-Klein graviton masses and a heavier radion. |
1207.5740 | Leszek Hadasz | Leszek Hadasz, Zbigniew Jaskolski and Paulina Suchanek | Recurrence relations for toric N=1 superconformal blocks | null | null | 10.1007/JHEP09(2012)122 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General 1-point toric blocks in all sectors of N=1 superconformal field
theories are analyzed. The recurrence relations for blocks coefficients are
derived by calculating their residues and large $\Delta$ asymptotics.
| [
{
"created": "Tue, 24 Jul 2012 16:25:53 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Hadasz",
"Leszek",
""
],
[
"Jaskolski",
"Zbigniew",
""
],
[
"Suchanek",
"Paulina",
""
]
] | General 1-point toric blocks in all sectors of N=1 superconformal field theories are analyzed. The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics. |
2308.15529 | Pramod Shukla | George K. Leontaris, Pramod Shukla | Taxonomy of scalar potential with U-dual fluxes | v3: 48 pages, To appear in Physical Review D | Phys. Rev. D 108, 126020 (2023) | 10.1103/PhysRevD.108.126020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of $N =1$ four-dimensional type IIB supergravity theories, the
U-dual completion arguments suggest to include four S-dual pairs of fluxes in
the holomorphic superpotential, namely the so-called $(F, \, H), \, (Q, \, P),
\, (P^\prime, Q^\prime)$ and $(H^\prime, \, F^\prime)$. These can generically
induce cubic polynomials for the complex-structure moduli as well as the
K\"ahler-moduli in the flux superpotential. In this article, we explore the
insights of the four-dimensional non-geometric scalar potential in the presence
of such generalized U-dual fluxes by considering an explicit type IIB toroidal
compactification model based on an orientifold of ${\mathbb T}^6/({\mathbb Z}_2
\times {\mathbb Z}_2)$ orbifold. First, we observe that the flux superpotential
induces a huge scalar potential having a total of 76276 terms involving 128
flux parameters and 14 real scalars. Subsequently, we invoke a new set of (the
so-called) ``axionic fluxes" comprising combinations of the standard fluxes and
the RR axions, and it turns out that these axionic fluxes can be very useful in
rewriting the scalar potential in a relatively compact form. In this regard,
using the metric of the compactifying toroidal sixfold, we present a new
formulation of the effective scalar potential, which might be useful for
understanding the higher-dimensional origin of the various pieces via the
so-called ``dimensional oxidation" process. We also discuss the generalized
Bianchi identities and the tadpole cancellation conditions, which can be
important while seeking the physical (AdS/dS) vacua in such models.
| [
{
"created": "Tue, 29 Aug 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Sep 2023 20:42:43 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Dec 2023 06:01:30 GMT",
"version": "v3"
}
] | 2023-12-25 | [
[
"Leontaris",
"George K.",
""
],
[
"Shukla",
"Pramod",
""
]
] | In the context of $N =1$ four-dimensional type IIB supergravity theories, the U-dual completion arguments suggest to include four S-dual pairs of fluxes in the holomorphic superpotential, namely the so-called $(F, \, H), \, (Q, \, P), \, (P^\prime, Q^\prime)$ and $(H^\prime, \, F^\prime)$. These can generically induce cubic polynomials for the complex-structure moduli as well as the K\"ahler-moduli in the flux superpotential. In this article, we explore the insights of the four-dimensional non-geometric scalar potential in the presence of such generalized U-dual fluxes by considering an explicit type IIB toroidal compactification model based on an orientifold of ${\mathbb T}^6/({\mathbb Z}_2 \times {\mathbb Z}_2)$ orbifold. First, we observe that the flux superpotential induces a huge scalar potential having a total of 76276 terms involving 128 flux parameters and 14 real scalars. Subsequently, we invoke a new set of (the so-called) ``axionic fluxes" comprising combinations of the standard fluxes and the RR axions, and it turns out that these axionic fluxes can be very useful in rewriting the scalar potential in a relatively compact form. In this regard, using the metric of the compactifying toroidal sixfold, we present a new formulation of the effective scalar potential, which might be useful for understanding the higher-dimensional origin of the various pieces via the so-called ``dimensional oxidation" process. We also discuss the generalized Bianchi identities and the tadpole cancellation conditions, which can be important while seeking the physical (AdS/dS) vacua in such models. |
1910.00457 | Josh Kirklin | Josh Kirklin | The Holographic Dual of the Entanglement Wedge Symplectic Form | 37 pages, 11 figures. Comments appreciated | J. High Energ. Phys. (2020) 2020: 071 | 10.1007/JHEP01(2020)071 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we find the boundary dual of the symplectic form for the bulk
fields in any entanglement wedge. The key ingredient is Uhlmann holonomy, which
is a notion of parallel transport of purifications of density matrices based on
a maximisation of transition probabilities. Using a replica trick, we compute
this holonomy for curves of reduced states in boundary subregions of
holographic QFTs at large N, subject to changes of operator insertions on the
boundary. It is shown that the Berry phase along Uhlmann parallel paths may be
written as the integral of an abelian connection whose curvature is the
symplectic form of the entanglement wedge. This generalises previous work on
holographic Berry curvature.
| [
{
"created": "Tue, 1 Oct 2019 14:43:09 GMT",
"version": "v1"
}
] | 2020-01-16 | [
[
"Kirklin",
"Josh",
""
]
] | In this paper, we find the boundary dual of the symplectic form for the bulk fields in any entanglement wedge. The key ingredient is Uhlmann holonomy, which is a notion of parallel transport of purifications of density matrices based on a maximisation of transition probabilities. Using a replica trick, we compute this holonomy for curves of reduced states in boundary subregions of holographic QFTs at large N, subject to changes of operator insertions on the boundary. It is shown that the Berry phase along Uhlmann parallel paths may be written as the integral of an abelian connection whose curvature is the symplectic form of the entanglement wedge. This generalises previous work on holographic Berry curvature. |
0906.0987 | Vijay Kumar | Vijay Kumar and Washington Taylor | String Universality in Six Dimensions | 27 pages, 1 figure; v4: typos corrected, added references, minor
clarifications regarding N = 1 supersymmetry | null | null | MIT-CTP-4046 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In six dimensions, cancellation of gauge, gravitational, and mixed anomalies
strongly constrains the set of quantum field theories which can be coupled
consistently to gravity. We show that for some classes of six-dimensional
supersymmetric gauge theories coupled to gravity, the anomaly cancellation
conditions are equivalent to tadpole cancellation and other constraints on the
matter content of heterotic/type I compactifications on K3. In these cases, all
consistent 6D supergravity theories have a realization in string theory. We
find one example which may arise from a novel string compactification, and we
identify a new infinite family of models satisfying anomaly factorization. We
find, however, that this infinite family of models, as well as other infinite
families of models previously identified by Schwarz are pathological. We
suggest that it may be feasible to demonstrate that there is a string theoretic
realization of all consistent six-dimensional supergravity theories which have
Lagrangian descriptions with arbitrary gauge and matter content. We attempt to
frame this hypothesis of string universality as a concrete conjecture.
| [
{
"created": "Fri, 5 Jun 2009 16:30:53 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jun 2009 13:41:19 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jun 2009 04:07:01 GMT",
"version": "v3"
},
{
"created": "Sat, 10 Oct 2009 00:54:52 GMT",
"version": "v4"
}
] | 2009-10-10 | [
[
"Kumar",
"Vijay",
""
],
[
"Taylor",
"Washington",
""
]
] | In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric gauge theories coupled to gravity, the anomaly cancellation conditions are equivalent to tadpole cancellation and other constraints on the matter content of heterotic/type I compactifications on K3. In these cases, all consistent 6D supergravity theories have a realization in string theory. We find one example which may arise from a novel string compactification, and we identify a new infinite family of models satisfying anomaly factorization. We find, however, that this infinite family of models, as well as other infinite families of models previously identified by Schwarz are pathological. We suggest that it may be feasible to demonstrate that there is a string theoretic realization of all consistent six-dimensional supergravity theories which have Lagrangian descriptions with arbitrary gauge and matter content. We attempt to frame this hypothesis of string universality as a concrete conjecture. |
hep-th/0212056 | Konstadinos Sfetsos | A. Brandhuber and K. Sfetsos | PP-waves from rotating and continuously distributed D3-branes | 23 pages, Latex. v2: a few extra remarks and aesthetic changes,
version to appear in JHEP | JHEP 0212 (2002) 050 | 10.1088/1126-6708/2002/12/050 | CALT-68-2418 | hep-th | null | We study families of PP-wave solutions of type-IIB supergravity that have
(light-cone) time dependent metrics and RR five-form fluxes. They arise as
Penrose limits of supergravity solutions that correspond to rotating or
continuous distributions of D3-branes. In general, the solutions preserve
sixteen supersymmetries. On the dual field theory side these backgrounds
describe the BMN limit of N=4 SYM when some scalars in the field theory have
non-vanishing expectation values. We study the perturbative string spectrum and
in several cases we are able to determine it exactly for the bosons as well as
for the fermions. We find that there are special states for particular values
of the light-cone constant P_+.
| [
{
"created": "Wed, 4 Dec 2002 18:12:03 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2002 13:57:20 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Brandhuber",
"A.",
""
],
[
"Sfetsos",
"K.",
""
]
] | We study families of PP-wave solutions of type-IIB supergravity that have (light-cone) time dependent metrics and RR five-form fluxes. They arise as Penrose limits of supergravity solutions that correspond to rotating or continuous distributions of D3-branes. In general, the solutions preserve sixteen supersymmetries. On the dual field theory side these backgrounds describe the BMN limit of N=4 SYM when some scalars in the field theory have non-vanishing expectation values. We study the perturbative string spectrum and in several cases we are able to determine it exactly for the bosons as well as for the fermions. We find that there are special states for particular values of the light-cone constant P_+. |
hep-th/0201102 | Alessandro Tanzini | Alessandro Tanzini | D-instantons on orbifolds and gauge/gravity correspondence | minor changes, one reference added | Fortsch.Phys. 50 (2002) 992-998 | 10.1002/1521-3978(200209)50:8/9<992::AID-PROP992>3.0.CO;2-B | PAR-LPTHE 02/05 | hep-th | null | D-instantons are used to probe the near-horizon geometry of D3-branes systems
on orbifold spaces. For fractional D3-branes, D-instanton calculus correctly
reproduces the gauge beta-function and U(1)_R anomaly of the corresponding N=2
non-conformal Super Yang-Mills theories. For D3-branes wrapping the orbifold
singularity, D-instantons can be identified with gauge instantons on ALE space,
providing evidence of AdS/CFT duality for gauge theories on curved spaces.
| [
{
"created": "Tue, 15 Jan 2002 13:21:22 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2002 15:25:19 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Tanzini",
"Alessandro",
""
]
] | D-instantons are used to probe the near-horizon geometry of D3-branes systems on orbifold spaces. For fractional D3-branes, D-instanton calculus correctly reproduces the gauge beta-function and U(1)_R anomaly of the corresponding N=2 non-conformal Super Yang-Mills theories. For D3-branes wrapping the orbifold singularity, D-instantons can be identified with gauge instantons on ALE space, providing evidence of AdS/CFT duality for gauge theories on curved spaces. |
1611.02110 | Dionisio Bazeia | D. Bazeia, L. Losano, M.A. Marques, R. Menezes, I. Zafalan | Compact Vortices | 9 pages, 12 figures; v2, motivation and references added | Eur. Phys. J C 77 (2017) 63 | 10.1140/epjc/s10052-017-4630-2 | null | hep-th cond-mat.supr-con hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a family of Maxwell-Higgs models, described by the inclusion of a
function of the scalar field that represent generalized magnetic permeability.
We search for vortex configurations which obey first-order differential
equations that solve the equations of motion. We first deal with the asymptotic
behavior of the field configurations, and then implement a numerical study of
the solutions, the energy density and the magnetic field. We work with the
generalized permeability having distinct profiles, giving rise to new models,
and we investigate how the vortices behave, compared with the solutions of the
corresponding standard models. In particular, we show how to build compact
vortices, that is, vortex solutions with the energy density and magnetic field
vanishing outside a compact region of the plane.
| [
{
"created": "Mon, 7 Nov 2016 15:26:00 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Dec 2016 17:50:34 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 2016 11:53:29 GMT",
"version": "v3"
}
] | 2017-02-07 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
],
[
"Zafalan",
"I.",
""
]
] | We study a family of Maxwell-Higgs models, described by the inclusion of a function of the scalar field that represent generalized magnetic permeability. We search for vortex configurations which obey first-order differential equations that solve the equations of motion. We first deal with the asymptotic behavior of the field configurations, and then implement a numerical study of the solutions, the energy density and the magnetic field. We work with the generalized permeability having distinct profiles, giving rise to new models, and we investigate how the vortices behave, compared with the solutions of the corresponding standard models. In particular, we show how to build compact vortices, that is, vortex solutions with the energy density and magnetic field vanishing outside a compact region of the plane. |
2102.08060 | Alejandra Castro | Alejandra Castro, Victor Godet, Joan Sim\'on, Wei Song and Boyang Yu | Gravitational perturbations from NHEK to Kerr | 73 pages, 1 figure; v2: minor typos corrected; v3: matches published
version | null | 10.1007/JHEP07(2021)218 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We revisit the spectrum of linear axisymmetric gravitational perturbations of
the (near-)extreme Kerr black hole. Our aim is to characterise those
perturbations that are responsible for the deviations away from extremality,
and to contrast them with the linearized perturbations treated in the
Newman-Penrose formalism. For the near horizon region of the (near-)extreme
Kerr solution, i.e. the (near-)NHEK background, we provide a complete
characterisation of axisymmetric modes. This involves an infinite tower of
propagating modes together with the much subtler low-lying mode sectors that
contain the deformations driving the black hole away from extremality. Our
analysis includes their effects on the line element, their contributions to
Iyer-Wald charges around the NHEK geometry, and how to reconstitute them as
gravitational perturbations on Kerr. We present in detail how regularity
conditions along the angular variables modify the dynamical properties of the
low-lying sector, and in particular their role in the new developments of
nearly-AdS$_2$ holography.
| [
{
"created": "Tue, 16 Feb 2021 10:12:38 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2021 13:54:56 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jul 2021 08:26:35 GMT",
"version": "v3"
}
] | 2021-08-18 | [
[
"Castro",
"Alejandra",
""
],
[
"Godet",
"Victor",
""
],
[
"Simón",
"Joan",
""
],
[
"Song",
"Wei",
""
],
[
"Yu",
"Boyang",
""
]
] | We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those perturbations that are responsible for the deviations away from extremality, and to contrast them with the linearized perturbations treated in the Newman-Penrose formalism. For the near horizon region of the (near-)extreme Kerr solution, i.e. the (near-)NHEK background, we provide a complete characterisation of axisymmetric modes. This involves an infinite tower of propagating modes together with the much subtler low-lying mode sectors that contain the deformations driving the black hole away from extremality. Our analysis includes their effects on the line element, their contributions to Iyer-Wald charges around the NHEK geometry, and how to reconstitute them as gravitational perturbations on Kerr. We present in detail how regularity conditions along the angular variables modify the dynamical properties of the low-lying sector, and in particular their role in the new developments of nearly-AdS$_2$ holography. |
1803.10660 | Dongmin Jang | Dongmin Jang, Yoonbai Kim, O-Kab Kwon, D. D. Tolla | Holography of Massive M2-brane Theory: Non-linear Extension | 27 pages, 2 figures, minor corrections, references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the gauge/gravity duality between the ${\cal N} = 6$
mass-deformed ABJM theory with U$_k(N)\times$U$_{-k}(N)$ gauge symmetry and the
11-dimensional supergravity on LLM geometries with
SO(2,1)$\times$SO(4)/${\mathbb Z}_k$ $\times$SO(4)/${\mathbb Z}_k$ isometry, in
terms of a KK holography, which involves quadratic order field redefinitions.
As a non-trivial extension of the previous work arXiv:1612.05066, we implement
the KK mappings for various gauge invariant fields up to quadratic order to
obtain 4-dimensional gravity fields. The non-linearity of the KK maps indicates
that, in the current case, we can observe the true purpose of the non-linear KK
holography of the LLM solutions. Using such KK holography procedure, we obtain
the vacuum expectation values of the chiral primary operator of conformal
dimension $\Delta = 2$ in the large $N$ limit but with general $k$ and examine
the gauge/gravity duality for LLM solutions, which are represented by
square-shaped Young diagrams. We also show that the vacuum expectation values
of the massive KK graviton modes are vanishing as expected by the
supersymmetry.
| [
{
"created": "Wed, 28 Mar 2018 14:47:49 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2018 13:54:44 GMT",
"version": "v2"
}
] | 2018-04-17 | [
[
"Jang",
"Dongmin",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
],
[
"Tolla",
"D. D.",
""
]
] | We investigate the gauge/gravity duality between the ${\cal N} = 6$ mass-deformed ABJM theory with U$_k(N)\times$U$_{-k}(N)$ gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(2,1)$\times$SO(4)/${\mathbb Z}_k$ $\times$SO(4)/${\mathbb Z}_k$ isometry, in terms of a KK holography, which involves quadratic order field redefinitions. As a non-trivial extension of the previous work arXiv:1612.05066, we implement the KK mappings for various gauge invariant fields up to quadratic order to obtain 4-dimensional gravity fields. The non-linearity of the KK maps indicates that, in the current case, we can observe the true purpose of the non-linear KK holography of the LLM solutions. Using such KK holography procedure, we obtain the vacuum expectation values of the chiral primary operator of conformal dimension $\Delta = 2$ in the large $N$ limit but with general $k$ and examine the gauge/gravity duality for LLM solutions, which are represented by square-shaped Young diagrams. We also show that the vacuum expectation values of the massive KK graviton modes are vanishing as expected by the supersymmetry. |
1911.06441 | Min-Seok Seo | Min-Seok Seo | The entropic quasi-de Sitter instability time from the distance
conjecture | 5 pages, 2 figures, version published in Phys. Lett. B | Phys.Lett. B807 (2020) 135580 | 10.1016/j.physletb.2020.135580 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | From the entropy argument for the dS swampland conjecture which connects the
Gibbons-Hawking entropy bound with the distance conjecture, we find the
entropic quasi-dS instability time given by $1/(\sqrt{\epsilon_H}H)\log(m_{\rm
Pl}/H)$ as the lifetime of quasi-dS spacetime. It depends on the slow-roll
parameter, and contains the logarithmic factor $\log(m_{\rm Pl}/H)$ which can
be found in the scrambling (or decoherence) time as well. Such a logarithmic
factor enhances the geodesic distance of the modulus from the mere Planck
scale, and also possibly relaxes the bound on $m_{\rm Pl}^2 \nabla^2 V/V$.
| [
{
"created": "Fri, 15 Nov 2019 01:37:22 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2020 23:00:47 GMT",
"version": "v2"
}
] | 2020-07-01 | [
[
"Seo",
"Min-Seok",
""
]
] | From the entropy argument for the dS swampland conjecture which connects the Gibbons-Hawking entropy bound with the distance conjecture, we find the entropic quasi-dS instability time given by $1/(\sqrt{\epsilon_H}H)\log(m_{\rm Pl}/H)$ as the lifetime of quasi-dS spacetime. It depends on the slow-roll parameter, and contains the logarithmic factor $\log(m_{\rm Pl}/H)$ which can be found in the scrambling (or decoherence) time as well. Such a logarithmic factor enhances the geodesic distance of the modulus from the mere Planck scale, and also possibly relaxes the bound on $m_{\rm Pl}^2 \nabla^2 V/V$. |
hep-th/9906238 | Shyamoli Chaudhuri | Shyamoli Chaudhuri | Ultraviolet Limit of Open String Theory | 22 pages, LaTeX. Note added (Jan 2005): comments and related refs | JHEP 9908 (1999) 003 | 10.1088/1126-6708/1999/08/003 | PSU-TH-209 | hep-th | null | We confirm the intuition that a string theory which is perturbatively
infrared finite is automatically perturbatively ultraviolet finite. Our
derivation based on the asymptotics of the Selberg trace formula for the Greens
function on a Riemann surface holds for both open and closed string amplitudes
and is independent of modular invariance and supersymmetry. The mass scale for
the open strings stretched between Dbranes suggests a natural world-sheet
ultraviolet regulator in the string path integral, preserving both T-duality
and open-closed string world-sheet duality. Note added (Jan 2005): Comments and
related references added.
| [
{
"created": "Tue, 29 Jun 1999 21:26:05 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 1999 16:54:56 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jul 1999 14:06:16 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Jan 2005 20:11:45 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Chaudhuri",
"Shyamoli",
""
]
] | We confirm the intuition that a string theory which is perturbatively infrared finite is automatically perturbatively ultraviolet finite. Our derivation based on the asymptotics of the Selberg trace formula for the Greens function on a Riemann surface holds for both open and closed string amplitudes and is independent of modular invariance and supersymmetry. The mass scale for the open strings stretched between Dbranes suggests a natural world-sheet ultraviolet regulator in the string path integral, preserving both T-duality and open-closed string world-sheet duality. Note added (Jan 2005): Comments and related references added. |
0810.1583 | Nikolay Pletnev | I.L. Buchbinder, N.G. Pletnev | One-loop effective action in ${\cal N}=2$ supersymmetric massive
Yang-Mills theory | 18, pages, Accepted for publication in Theor. Math. Phys | Theor.Math.Phys.157:1383-1398,2008 | 10.1007/s11232-008-0115-7 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills
field formulated in the ${\cal N}=2$ harmonic superspace. The various
gauge-invariant forms of writing the mass term in the action (in particular,
using the Stueckelberg superfield), which result in dual formulations of the
theory, are presented. We develop a gauge-invariant and explicitly
supersymmetric scheme of the loop off-shell expansion of the superfield
effective action. In the framework of this scheme, we calculate gauge-invariant
and explicitly ${\cal N}=2$ supersymmetric one-loop counterterms including new
counterterms depending on the Stueckelberg superfield. Component structure of
one of these counterterms is analyzed.
| [
{
"created": "Thu, 9 Oct 2008 07:14:01 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the Stueckelberg superfield), which result in dual formulations of the theory, are presented. We develop a gauge-invariant and explicitly supersymmetric scheme of the loop off-shell expansion of the superfield effective action. In the framework of this scheme, we calculate gauge-invariant and explicitly ${\cal N}=2$ supersymmetric one-loop counterterms including new counterterms depending on the Stueckelberg superfield. Component structure of one of these counterterms is analyzed. |
0912.3462 | Xi Yin | Simone Giombi, Xi Yin | Higher Spin Gauge Theory and Holography: The Three-Point Functions | 90 pages, 5 figures; v4, minor changes in the introduction | JHEP 1009:115,2010 | 10.1007/JHEP09(2010)115 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we calculate the tree level three-point functions of Vasiliev's
higher spin gauge theory in AdS4 and find agreement with the correlators of the
free field theory of N massless scalars in three dimensions in the O(N) singlet
sector. This provides substantial evidence that Vasiliev theory is dual to the
free field theory, thus verifying a conjecture of Klebanov and Polyakov. We
also find agreement with the critical O(N) vector model, when the bulk scalar
field is subject to the alternative boundary condition such that its dual
operator has classical dimension 2.
| [
{
"created": "Thu, 17 Dec 2009 17:01:41 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Dec 2009 22:09:36 GMT",
"version": "v2"
},
{
"created": "Sat, 1 May 2010 15:21:12 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Sep 2010 15:48:36 GMT",
"version": "v4"
}
] | 2014-11-20 | [
[
"Giombi",
"Simone",
""
],
[
"Yin",
"Xi",
""
]
] | In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the free field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2. |
1010.5982 | Hossein Yavartanoo | Eoin \'O Colg\'ain, Jun-Bao Wu, Hossein Yavartanoo | On the generality of the LLM geometries in M-theory | 15 pages, v2. minor improvements | JHEP 1104:002,2011 | 10.1007/JHEP04(2011)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d=11
supergravity solutions with symmetry SO(6) X SO(3) X R, but generalise to allow
for all fluxes consistent with the isometries. Using the Killing spinor
equation, we prove there are no supersymmetric geometries with additional
fluxes beyond the LLM ansatz. In addition, the LLM relationship between Killing
spinors, \epsilon_- = - \gamma_5 \epsilon_+, may be seen as a consequence of
identifying two Killing directions identified through the Killing spinor
equation corresponding to candidate R-symmetry directions.
| [
{
"created": "Thu, 28 Oct 2010 14:45:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Apr 2011 01:04:20 GMT",
"version": "v2"
}
] | 2011-04-18 | [
[
"Colgáin",
"Eoin Ó",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] | In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d=11 supergravity solutions with symmetry SO(6) X SO(3) X R, but generalise to allow for all fluxes consistent with the isometries. Using the Killing spinor equation, we prove there are no supersymmetric geometries with additional fluxes beyond the LLM ansatz. In addition, the LLM relationship between Killing spinors, \epsilon_- = - \gamma_5 \epsilon_+, may be seen as a consequence of identifying two Killing directions identified through the Killing spinor equation corresponding to candidate R-symmetry directions. |
2208.13607 | Erez Y. Urbach | Ofer Aharony, Shai M. Chester, Tal Sheaffer, Erez Y. Urbach | Explicit holography for vector models at finite $N$, volume and
temperature | 20 pages plus appendices; v2: minor changes and added references | null | 10.1007/JHEP03(2023)016 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In previous work we constructed an explicit mapping between large $N$ vector
models (free or critical) in $d$ dimensions and a non-local high-spin gravity
theory on $AdS_{d+1}$, such that the gravitational theory reproduces the field
theory correlation functions order by order in $1/N$. In this paper we discuss
three aspects of this mapping. First, our original mapping was not valid
non-perturbatively in $1/N$, since it did not include non-local correlations
between the gravity fields which appear at finite $N$. We show that by using a
bi-local $G-\Sigma$ type formalism similar to the one used in the SYK model, we
can construct an exact mapping to the bulk that is valid also at finite $N$.
The theory in the bulk contains additional auxiliary fields which implement the
finite $N$ constraints. Second, we discuss the generalization of our mapping to
the field theory on $S^d$, and in particular how the sphere free energy matches
exactly between the two sides, and how the mapping can be consistently
regularized. Finally, we discuss the field theory at finite temperature, and
show that the low-temperature phase of the vector models can be mapped to a
high-spin gravity theory on thermal AdS space.
| [
{
"created": "Mon, 29 Aug 2022 13:58:02 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 12:39:27 GMT",
"version": "v2"
}
] | 2023-03-22 | [
[
"Aharony",
"Ofer",
""
],
[
"Chester",
"Shai M.",
""
],
[
"Sheaffer",
"Tal",
""
],
[
"Urbach",
"Erez Y.",
""
]
] | In previous work we constructed an explicit mapping between large $N$ vector models (free or critical) in $d$ dimensions and a non-local high-spin gravity theory on $AdS_{d+1}$, such that the gravitational theory reproduces the field theory correlation functions order by order in $1/N$. In this paper we discuss three aspects of this mapping. First, our original mapping was not valid non-perturbatively in $1/N$, since it did not include non-local correlations between the gravity fields which appear at finite $N$. We show that by using a bi-local $G-\Sigma$ type formalism similar to the one used in the SYK model, we can construct an exact mapping to the bulk that is valid also at finite $N$. The theory in the bulk contains additional auxiliary fields which implement the finite $N$ constraints. Second, we discuss the generalization of our mapping to the field theory on $S^d$, and in particular how the sphere free energy matches exactly between the two sides, and how the mapping can be consistently regularized. Finally, we discuss the field theory at finite temperature, and show that the low-temperature phase of the vector models can be mapped to a high-spin gravity theory on thermal AdS space. |
2305.06186 | Pablo Rafael Mora | Pablo Mora | Chern-Simons Branes with enhanced gauge invariance | Minor revisions of errata in indexes and grammar | null | 10.1007/JHEP07(2023)107 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | I discuss how the factorization of the invariant trace used to define
Chern-Simons branes in a space-time with a Chern-Simons action for a space-time
group introduces new relationships between the coupling constants of the
extended objects of diverse dimensions, and an enhanced gauge invariance for a
suitable choice of these coupling constants, owing to an extension of the
Inflow mechanism. I also comment on the possible relevance of these models in
fundamental physics.
| [
{
"created": "Wed, 10 May 2023 14:17:26 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2023 19:45:52 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jun 2023 12:12:30 GMT",
"version": "v3"
},
{
"created": "Wed, 5 Jul 2023 14:52:17 GMT",
"version": "v4"
}
] | 2023-07-26 | [
[
"Mora",
"Pablo",
""
]
] | I discuss how the factorization of the invariant trace used to define Chern-Simons branes in a space-time with a Chern-Simons action for a space-time group introduces new relationships between the coupling constants of the extended objects of diverse dimensions, and an enhanced gauge invariance for a suitable choice of these coupling constants, owing to an extension of the Inflow mechanism. I also comment on the possible relevance of these models in fundamental physics. |
1312.4795 | Georgi Dvali | Gia Dvali and Cesar Gomez | Quantum Compositeness of Gravity: Black Holes, AdS and Inflation | 66 pages. Latex | null | 10.1088/1475-7516/2014/01/023 | null | hep-th astro-ph.CO gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational backgrounds, such as black holes, AdS, de Sitter and
inflationary universes, should be viewed as composite of N soft constituent
gravitons. It then follows that such systems are close to quantum criticality
of graviton Bose-gas to Bose-liquid transition. Generic properties of the
ordinary metric description, including geodesic motion or particle-creation in
the background metric, emerge as the large-N limit of quantum scattering of
constituent longitudinal gravitons. We show that this picture correctly
accounts for physics of large and small black holes in AdS, as well as
reproduces well-known inflationary predictions for cosmological parameters.
However, it anticipates new effects not captured by the standard semi-classical
treatment. In particular, we predict observable corrections that are sensitive
to the inflationary history way beyond last 60 e-foldings. We derive an
absolute upper bound on the number of e-foldings, beyond which neither de
Sitter nor inflationary Universe can be approximated by a semi-classical
metric. However, they could in principle persist in a new type of it quantum
eternity state. We discuss implications of this phenomenon for the cosmological
constant problem.
| [
{
"created": "Tue, 17 Dec 2013 14:15:50 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] | Gravitational backgrounds, such as black holes, AdS, de Sitter and inflationary universes, should be viewed as composite of N soft constituent gravitons. It then follows that such systems are close to quantum criticality of graviton Bose-gas to Bose-liquid transition. Generic properties of the ordinary metric description, including geodesic motion or particle-creation in the background metric, emerge as the large-N limit of quantum scattering of constituent longitudinal gravitons. We show that this picture correctly accounts for physics of large and small black holes in AdS, as well as reproduces well-known inflationary predictions for cosmological parameters. However, it anticipates new effects not captured by the standard semi-classical treatment. In particular, we predict observable corrections that are sensitive to the inflationary history way beyond last 60 e-foldings. We derive an absolute upper bound on the number of e-foldings, beyond which neither de Sitter nor inflationary Universe can be approximated by a semi-classical metric. However, they could in principle persist in a new type of it quantum eternity state. We discuss implications of this phenomenon for the cosmological constant problem. |
2011.06230 | Petr Horava | Alexander Frenkel, Petr Horava, Stephen Randall | The Geometry of Time in Topological Quantum Gravity of the Ricci Flow | 26 pages, no figures | null | null | null | hep-th gr-qc math-ph math.DG math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study of topological nonrelativistic quantum gravity
associated with a family of Ricci flow equations on Riemannian manifolds. This
topological gravity is of the cohomological type, and it exhibits an ${\cal
N}=2$ extended BRST symmetry. In our previous work, we constructed this theory
in a two-step procedure in the appropriate nonrelativistic ${\cal N}=2$
superspace, first presenting a topological theory of the spatial metric
$g_{ij}$, and then adding the superspace versions of the lapse and shift
variables $n$ and $n^i$ while gauging the symmetries of foliation-preserving
spacetime diffeomorphisms. In the relation to Perelman's theory of the Ricci
flow, the role of Perelman's dilaton is played by our nonprojectable lapse.
Here we demonstrate that this construction is equivalent to a standard one-step
BRST gauge-fixing of a theory whose fields are $g_{ij}$, $n^i$ and $n$, and
whose gauge symmetries consist of (i) the topological deformations of $g_{ij}$,
and (ii) the ultralocal nonrelativistic limit of spacetime diffeomorphisms. The
supercharge $Q$ of our superspace construction plays the role of the BRST
charge. The spacetime diffeomorphism symmetries appear in an interestingly
"shifted" form, which may be of broader interest for nonrelativistic quantum
gravity outside of the present topological context. In contrast to the
foliation-preserving spacetime diffeomorphisms, the gauge symmetries identified
in this paper act nonprojectably on time, making it clear that this theory has
no local propagating degrees of freedom. We point out an intriguing dual
interpretation of the same theory, as a gauge fixing of a dual copy of
ultralocal spacetime diffeomorphisms, with the role of ghosts and antighosts
interchanged and the second supercharge $\bar Q$ of the ${\cal N}=2$
superalgebra playing the role of the BRST charge in the dual picture.
| [
{
"created": "Thu, 12 Nov 2020 06:57:10 GMT",
"version": "v1"
}
] | 2020-11-13 | [
[
"Frenkel",
"Alexander",
""
],
[
"Horava",
"Petr",
""
],
[
"Randall",
"Stephen",
""
]
] | We continue the study of topological nonrelativistic quantum gravity associated with a family of Ricci flow equations on Riemannian manifolds. This topological gravity is of the cohomological type, and it exhibits an ${\cal N}=2$ extended BRST symmetry. In our previous work, we constructed this theory in a two-step procedure in the appropriate nonrelativistic ${\cal N}=2$ superspace, first presenting a topological theory of the spatial metric $g_{ij}$, and then adding the superspace versions of the lapse and shift variables $n$ and $n^i$ while gauging the symmetries of foliation-preserving spacetime diffeomorphisms. In the relation to Perelman's theory of the Ricci flow, the role of Perelman's dilaton is played by our nonprojectable lapse. Here we demonstrate that this construction is equivalent to a standard one-step BRST gauge-fixing of a theory whose fields are $g_{ij}$, $n^i$ and $n$, and whose gauge symmetries consist of (i) the topological deformations of $g_{ij}$, and (ii) the ultralocal nonrelativistic limit of spacetime diffeomorphisms. The supercharge $Q$ of our superspace construction plays the role of the BRST charge. The spacetime diffeomorphism symmetries appear in an interestingly "shifted" form, which may be of broader interest for nonrelativistic quantum gravity outside of the present topological context. In contrast to the foliation-preserving spacetime diffeomorphisms, the gauge symmetries identified in this paper act nonprojectably on time, making it clear that this theory has no local propagating degrees of freedom. We point out an intriguing dual interpretation of the same theory, as a gauge fixing of a dual copy of ultralocal spacetime diffeomorphisms, with the role of ghosts and antighosts interchanged and the second supercharge $\bar Q$ of the ${\cal N}=2$ superalgebra playing the role of the BRST charge in the dual picture. |
1010.4085 | Jingyi Zhang | Jingyi Zhang, Zheng Zhao | Discussion on Event Horizon and Quantum Ergosphere of Evaporating Black
Holes in a Tunnelling Framework | 8 pages | Phys.Rev.D83:064028,2011 | 10.1103/PhysRevD.83.064028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, with the Parikh-Wilczek tunnelling framework the positions of
the event horizon of the Vaidya black hole and the Vaidya-Bonner black hole are
calculated respectively. We find that the event horizon and the apparent
horizon of these two black holes correspond respectively to the two turning
points of the Hawking radiation tunnelling barrier. That is, the quantum
ergosphere coincides with the tunnelling barrier. Our calculation also implies
that the Hawking radiation comes from the apparent horizon.
| [
{
"created": "Wed, 20 Oct 2010 01:55:58 GMT",
"version": "v1"
}
] | 2011-03-22 | [
[
"Zhang",
"Jingyi",
""
],
[
"Zhao",
"Zheng",
""
]
] | In this paper, with the Parikh-Wilczek tunnelling framework the positions of the event horizon of the Vaidya black hole and the Vaidya-Bonner black hole are calculated respectively. We find that the event horizon and the apparent horizon of these two black holes correspond respectively to the two turning points of the Hawking radiation tunnelling barrier. That is, the quantum ergosphere coincides with the tunnelling barrier. Our calculation also implies that the Hawking radiation comes from the apparent horizon. |
1507.03836 | Harvendra Singh | Rohit Mishra and Harvendra Singh | Perturbative entanglement thermodynamics for AdS spacetime:
Renormalization | 14 pages, 1 figure; V2: Details and explanations added, typo
corrections; V3: Bad typo in eq.28 corrected, no change of results | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of charged excitations in the AdS spacetime on the first
law of entanglement thermodynamics. It is found that `boosted' AdS black holes
give rise to a more general form of first law which includes chemical potential
and charge density. To obtain this result we have to resort to a second order
perturbative calculation of entanglement entropy for small size subsystems. At
first order the form of entanglement law remains unchanged even in the presence
of charged excitations. But the thermodynamic quantities have to be
appropriately `renormalized' at the second order due to the corrections. We
work in the perturbative regime where $T_{thermal}\ll T_E$.
| [
{
"created": "Tue, 14 Jul 2015 13:11:00 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 06:21:29 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Dec 2017 05:13:03 GMT",
"version": "v3"
}
] | 2017-12-15 | [
[
"Mishra",
"Rohit",
""
],
[
"Singh",
"Harvendra",
""
]
] | We study the effect of charged excitations in the AdS spacetime on the first law of entanglement thermodynamics. It is found that `boosted' AdS black holes give rise to a more general form of first law which includes chemical potential and charge density. To obtain this result we have to resort to a second order perturbative calculation of entanglement entropy for small size subsystems. At first order the form of entanglement law remains unchanged even in the presence of charged excitations. But the thermodynamic quantities have to be appropriately `renormalized' at the second order due to the corrections. We work in the perturbative regime where $T_{thermal}\ll T_E$. |
1006.0015 | Leonardo Rastelli | Abhijit Gadde, Elli Pomoni, and Leonardo Rastelli | Spin Chains in N=2 Superconformal Theories: from the Z_2 Quiver to
Superconformal QCD | v2: corrected the definition of the parity operation, other minor
changes | null | null | YITP-SB-10-20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we find preliminary evidence that N=2 superconformal QCD, the
SU(N_c) SYM theory with N_f= 2 N_c fundamental hypermultiplets, might be
integrable in the large N Veneziano limit. We evaluate the one-loop dilation
operator in the scalar sector of the N=2 superconformal quiver with SU(N_c) X
SU(N_{\check c}) gauge group, for N_c = N_{\check c}. Both gauge couplings g
and \check g are exactly marginal. This theory interpolates between the Z_2
orbifold of N=4 SYM, which corresponds to \check g=g, and N=2 superconformal
QCD, which is obtained for \check g -> 0. The planar one-loop dilation operator
takes the form of a nearest-neighbor spin-chain Hamiltonian. For superconformal
QCD the spin chain is of novel form: besides the color-adjoint fields
\phi^a_{b}, which occupy individual sites of the chain, there are "dimers"
Q^a_{i} \bar Q^i_{b} of flavor-contracted fundamental fields, which occupy two
neighboring sites. We solve the two-body scattering problem of magnon
excitations and study the spectrum of bound states, for general \check g/g. The
dimeric excitations of superconformal QCD are seen to arise smoothly for \check
g -> 0 as the limit of bound wavefunctions of the interpolating theory. Finally
we check the Yang-Baxter equation for the two-magnon S-matrix. It holds as
expected at the orbifold point \check g = g. While violated for general \check
g \neq g, it holds again in the limit \check g -> 0, hinting at one-loop
integrability of planar N=2 superconformal QCD.
| [
{
"created": "Mon, 31 May 2010 20:55:12 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2012 13:59:18 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Gadde",
"Abhijit",
""
],
[
"Pomoni",
"Elli",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | In this paper we find preliminary evidence that N=2 superconformal QCD, the SU(N_c) SYM theory with N_f= 2 N_c fundamental hypermultiplets, might be integrable in the large N Veneziano limit. We evaluate the one-loop dilation operator in the scalar sector of the N=2 superconformal quiver with SU(N_c) X SU(N_{\check c}) gauge group, for N_c = N_{\check c}. Both gauge couplings g and \check g are exactly marginal. This theory interpolates between the Z_2 orbifold of N=4 SYM, which corresponds to \check g=g, and N=2 superconformal QCD, which is obtained for \check g -> 0. The planar one-loop dilation operator takes the form of a nearest-neighbor spin-chain Hamiltonian. For superconformal QCD the spin chain is of novel form: besides the color-adjoint fields \phi^a_{b}, which occupy individual sites of the chain, there are "dimers" Q^a_{i} \bar Q^i_{b} of flavor-contracted fundamental fields, which occupy two neighboring sites. We solve the two-body scattering problem of magnon excitations and study the spectrum of bound states, for general \check g/g. The dimeric excitations of superconformal QCD are seen to arise smoothly for \check g -> 0 as the limit of bound wavefunctions of the interpolating theory. Finally we check the Yang-Baxter equation for the two-magnon S-matrix. It holds as expected at the orbifold point \check g = g. While violated for general \check g \neq g, it holds again in the limit \check g -> 0, hinting at one-loop integrability of planar N=2 superconformal QCD. |
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