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2312.12058
Holger Gies
Holger Gies, Philip Heinzel, Johannes Laufk\"otter, and Marta Picciau
Quantum field theories of relativistic Luttinger fermions
5+7 pages, 1 figure
null
null
null
hep-th cond-mat.str-el hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose relativistic Luttinger fermions as a new ingredient for the construction of fundamental quantum field theories. We construct the corresponding Clifford algebra and the spin metric for relativistic invariance of the action using the spin-base invariant formalism. The corresponding minimal spinor has 32 complex components, matching with the degrees of freedom of a standard-model generation including a right-handed neutrino. The resulting fermion fields exhibit a canonical scaling different from Dirac fermions and thus support the construction of novel relativistic and perturbatively renormalizable, interacting quantum field theories. In particular, new asymptotically free self-interacting field theories can be constructed, representing first examples of high-energy complete quantum field theories based on pure matter degrees of freedom. Gauge theories with relativistic Luttinger fermions exhibit a strong paramagnetic dominance, requiring large nonabelian gauge groups to maintain asymptotic freedom. We comment on the possibility to use Luttinger fermions for particle physics model building and the expected naturalness properties of such models.
[ { "created": "Tue, 19 Dec 2023 11:21:55 GMT", "version": "v1" } ]
2023-12-20
[ [ "Gies", "Holger", "" ], [ "Heinzel", "Philip", "" ], [ "Laufkötter", "Johannes", "" ], [ "Picciau", "Marta", "" ] ]
We propose relativistic Luttinger fermions as a new ingredient for the construction of fundamental quantum field theories. We construct the corresponding Clifford algebra and the spin metric for relativistic invariance of the action using the spin-base invariant formalism. The corresponding minimal spinor has 32 complex components, matching with the degrees of freedom of a standard-model generation including a right-handed neutrino. The resulting fermion fields exhibit a canonical scaling different from Dirac fermions and thus support the construction of novel relativistic and perturbatively renormalizable, interacting quantum field theories. In particular, new asymptotically free self-interacting field theories can be constructed, representing first examples of high-energy complete quantum field theories based on pure matter degrees of freedom. Gauge theories with relativistic Luttinger fermions exhibit a strong paramagnetic dominance, requiring large nonabelian gauge groups to maintain asymptotic freedom. We comment on the possibility to use Luttinger fermions for particle physics model building and the expected naturalness properties of such models.
12.277999
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12.573877
12.104567
11.76169
12.162986
12.253904
11.65293
12.332132
11.961573
12.163145
1505.05448
Alexander Popov
Olaf Lechtenfeld, Alexander D. Popov
Yang-Mills moduli space in the adiabatic limit
7 pages, v2: some clarifications and references added, published version
null
10.1088/1751-8113/48/42/425401
null
hep-th math-ph math.DG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the Yang-Mills equations for a matrix gauge group $G$ inside the future light cone of 4-dimensional Minkowski space, which can be viewed as a Lorentzian cone $C(H^3)$ over the 3-dimensional hyperbolic space $H^3$. Using the conformal equivalence of $C(H^3)$ and the cylinder $R\times H^3$, we show that, in the adiabatic limit when the metric on $H^3$ is scaled down, classical Yang-Mills dynamics is described by geodesic motion in the infinite-dimensional group manifold $C^\infty (S^2_\infty,G)$ of smooth maps from the boundary 2-sphere $S^2_\infty=\partial H^3$ into the gauge group $G$.
[ { "created": "Wed, 20 May 2015 16:43:37 GMT", "version": "v1" }, { "created": "Fri, 28 Aug 2015 11:50:48 GMT", "version": "v2" } ]
2015-10-28
[ [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ] ]
We consider the Yang-Mills equations for a matrix gauge group $G$ inside the future light cone of 4-dimensional Minkowski space, which can be viewed as a Lorentzian cone $C(H^3)$ over the 3-dimensional hyperbolic space $H^3$. Using the conformal equivalence of $C(H^3)$ and the cylinder $R\times H^3$, we show that, in the adiabatic limit when the metric on $H^3$ is scaled down, classical Yang-Mills dynamics is described by geodesic motion in the infinite-dimensional group manifold $C^\infty (S^2_\infty,G)$ of smooth maps from the boundary 2-sphere $S^2_\infty=\partial H^3$ into the gauge group $G$.
4.851085
4.211298
5.399322
4.431753
4.454578
4.921638
5.030651
4.584781
4.664699
5.995448
4.362943
4.570396
4.788795
4.648621
4.722526
4.666936
4.707799
4.702984
4.419222
4.814834
4.597334
2111.00277
Jun Feng
Jun Feng, Jing-Jun Zhang
Quantum Fisher information as a probe for Unruh thermality
8 pages, 4 figures, to be published in Physics Letters B
Physics Letters B 827 (2022) 136992
10.1016/j.physletb.2022.136992
null
hep-th quant-ph
http://creativecommons.org/licenses/by/4.0/
A long-standing debate on Unruh effect is about its obscure thermal nature. In this Letter, we use quantum Fisher information (QFI) as an effective probe to explore the thermal nature of Unruh effect from both local and global perspectives. By resolving the full dynamics of UDW detector, we find that the QFI is a time-evolving function of detector's energy gap, Unruh temperature $T_U$ and particularities of background field, e.g., mass and spacetime dimensionality. We show that the asymptotic QFI whence detector arrives its equilibrium is solely determined by $T_U$, demonstrating the global side of Unruh thermality alluded by the KMS condition. We also show that the local side of Unruh effect, i.e., the different ways for the detector to approach the same thermal equilibrium, is encoded in the corresponding time-evolution of the QFI. In particular, we find that with massless scalar background the QFI has unique monotonicity in $n=3$ dimensional spacetime, and becomes non-monotonous for $n\neq3$ models where a local peak value exists at early time and for finite acceleration, indicating an enhanced precision of estimation on Unruh temperature at a relative low acceleration can be achieved. Once the field acquiring mass, the related QFI becomes significantly robust against the Unruh decoherence in the sense that its local peak sustains for a very long time. While coupling to a more massive background, the persistence can even be strengthened and the QFI possesses a larger maximal value. Such robustness of QFI can surely facilitate any practical quantum estimation task.
[ { "created": "Sat, 30 Oct 2021 16:06:22 GMT", "version": "v1" }, { "created": "Mon, 21 Feb 2022 16:13:55 GMT", "version": "v2" } ]
2022-03-02
[ [ "Feng", "Jun", "" ], [ "Zhang", "Jing-Jun", "" ] ]
A long-standing debate on Unruh effect is about its obscure thermal nature. In this Letter, we use quantum Fisher information (QFI) as an effective probe to explore the thermal nature of Unruh effect from both local and global perspectives. By resolving the full dynamics of UDW detector, we find that the QFI is a time-evolving function of detector's energy gap, Unruh temperature $T_U$ and particularities of background field, e.g., mass and spacetime dimensionality. We show that the asymptotic QFI whence detector arrives its equilibrium is solely determined by $T_U$, demonstrating the global side of Unruh thermality alluded by the KMS condition. We also show that the local side of Unruh effect, i.e., the different ways for the detector to approach the same thermal equilibrium, is encoded in the corresponding time-evolution of the QFI. In particular, we find that with massless scalar background the QFI has unique monotonicity in $n=3$ dimensional spacetime, and becomes non-monotonous for $n\neq3$ models where a local peak value exists at early time and for finite acceleration, indicating an enhanced precision of estimation on Unruh temperature at a relative low acceleration can be achieved. Once the field acquiring mass, the related QFI becomes significantly robust against the Unruh decoherence in the sense that its local peak sustains for a very long time. While coupling to a more massive background, the persistence can even be strengthened and the QFI possesses a larger maximal value. Such robustness of QFI can surely facilitate any practical quantum estimation task.
12.734774
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14.866875
13.752286
12.675
12.177653
13.313994
12.737336
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12.772685
12.136971
12.914455
12.654115
12.293632
12.270552
12.309687
12.409616
12.057001
0706.2129
Jerzy Lukierski
Sergey Fedoruk (BLTP JINR, Dubna), Jerzy Lukierski (Univ. Wroclaw)
Two-twistor Description of Membrane
LaTeX 8 pages, revtex4. V2: 4 references added, minor text corrections
Phys.Rev.D76:066005,2007
10.1103/PhysRevD.76.066005
null
hep-th
null
We describe D=4 twistorial membrane in terms of two twistorial three-dimensional world volume fields. We start with the D-dimensional p-brane generalizations of two phase space string formulations: the one with $p+1$ vectorial fourmomenta, and the second with tensorial momenta of $(p+1)$-th rank. Further we consider tensionful membrane case in D=4. By using the membrane generalization of Cartan-Penrose formula we express the fourmomenta by spinorial fields and obtain the intermediate spinor-space-time formulation. Further by expressing the worldvolume dreibein and the membrane space-time coordinate fields in terms of two twistor fields one obtains the purely twistorial formulation. It appears that the action is generated by a geometric three-form on two-twistor space. Finally we comment on higher-dimensional (D>4) twistorial p-brane models and their superextensions.
[ { "created": "Thu, 14 Jun 2007 14:10:28 GMT", "version": "v1" }, { "created": "Tue, 26 Jun 2007 10:57:54 GMT", "version": "v2" } ]
2008-11-26
[ [ "Fedoruk", "Sergey", "", "BLTP JINR, Dubna" ], [ "Lukierski", "Jerzy", "", "Univ. Wroclaw" ] ]
We describe D=4 twistorial membrane in terms of two twistorial three-dimensional world volume fields. We start with the D-dimensional p-brane generalizations of two phase space string formulations: the one with $p+1$ vectorial fourmomenta, and the second with tensorial momenta of $(p+1)$-th rank. Further we consider tensionful membrane case in D=4. By using the membrane generalization of Cartan-Penrose formula we express the fourmomenta by spinorial fields and obtain the intermediate spinor-space-time formulation. Further by expressing the worldvolume dreibein and the membrane space-time coordinate fields in terms of two twistor fields one obtains the purely twistorial formulation. It appears that the action is generated by a geometric three-form on two-twistor space. Finally we comment on higher-dimensional (D>4) twistorial p-brane models and their superextensions.
14.147994
13.484484
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13.37636
13.891336
14.167713
13.889178
13.399568
13.104593
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13.8499
13.438148
13.70361
13.829208
13.785399
12.948659
13.201933
13.992439
13.389222
hep-th/9602179
Konstadinos Sfetsos
Konstadinos Sfetsos
Non--Abelian Duality, Parafermions and Supersymmetry
27 pages, Latex, no figures, A few minor typos corrected, version to appear in Phys.Rev.D
Phys. Rev. D 54, 1682 (1996)
10.1103/PhysRevD.54.1682
THU-96/12
hep-th
null
Non--Abelian duality in relation to supersymmetry is examined. When the action of the isometry group on the complex structures is non--trivial, extended supersymmetry is realized non--locally after duality, using path ordered Wilson lines. Prototype examples considered in detail are, hyper--Kahler metrics with SO(3) isometry and supersymmetric WZW models. For the latter, the natural objects in the non--local realizations of supersymmetry arising after duality are the classical non--Abelian parafermions. The canonical equivalence of WZW models and their non--Abelian duals with respect to a vector subgroup is also established.
[ { "created": "Fri, 1 Mar 1996 01:19:45 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 1996 16:40:22 GMT", "version": "v2" } ]
2016-08-24
[ [ "Sfetsos", "Konstadinos", "" ] ]
Non--Abelian duality in relation to supersymmetry is examined. When the action of the isometry group on the complex structures is non--trivial, extended supersymmetry is realized non--locally after duality, using path ordered Wilson lines. Prototype examples considered in detail are, hyper--Kahler metrics with SO(3) isometry and supersymmetric WZW models. For the latter, the natural objects in the non--local realizations of supersymmetry arising after duality are the classical non--Abelian parafermions. The canonical equivalence of WZW models and their non--Abelian duals with respect to a vector subgroup is also established.
11.56537
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9.893275
9.657992
9.681016
9.861509
12.706892
9.83246
10.098282
10.726081
10.158061
10.374696
10.225647
9.843362
9.91432
10.106679
11.144667
10.286854
hep-th/0106052
Lazzarini
G. Bandelloni (INFN-Genoa), S. Lazzarini (CPT-Marseille)
Primary currents and Riemannian geometry in W-algebras
LaTex, 18 pages, no figures, version to appear in Nucl. Phys. B
Nucl.Phys. B606 (2001) 673-688
10.1016/S0550-3213(01)00252-8
CPT-01/P.4206
hep-th
null
It is proved that general consistency requirements of stability under complex analytic change of charts show that primary currents in finite chiral W-algebras are described in terms of pure gravitational variables.
[ { "created": "Wed, 6 Jun 2001 14:38:41 GMT", "version": "v1" } ]
2009-11-07
[ [ "Bandelloni", "G.", "", "INFN-Genoa" ], [ "Lazzarini", "S.", "", "CPT-Marseille" ] ]
It is proved that general consistency requirements of stability under complex analytic change of charts show that primary currents in finite chiral W-algebras are described in terms of pure gravitational variables.
101.036263
68.505066
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66.477036
56.712891
64.954399
69.215019
66.981964
53.605251
98.677261
69.092422
63.950977
65.88398
58.917572
64.106903
67.229218
72.611229
64.383537
65.35054
70.271782
59.606846
hep-th/9911026
Paul Watts
Paul Watts
Noncommutative String Theory, the R-Matrix, and Hopf Algebras
14 pages using LaTeX, uses amssymb.sty
Phys.Lett. B474 (2000) 295-302
10.1016/S0370-2693(99)01485-9
DIAS-STP-99-13
hep-th math.QA
null
Motivated by the form of the noncommutative *-product in a system of open strings and Dp-branes with constant nonzero Neveu-Schwarz 2-form, we define a deformed multiplication operation on a quasitriangular Hopf algebra in terms of its R-matrix, and comment on some of its properties. We show that the noncommutative string theory *-product is a particular example of this multiplication, and comment on other possible Hopf algebraic properties which may underlie the theory.
[ { "created": "Thu, 4 Nov 1999 16:23:25 GMT", "version": "v1" } ]
2009-10-31
[ [ "Watts", "Paul", "" ] ]
Motivated by the form of the noncommutative *-product in a system of open strings and Dp-branes with constant nonzero Neveu-Schwarz 2-form, we define a deformed multiplication operation on a quasitriangular Hopf algebra in terms of its R-matrix, and comment on some of its properties. We show that the noncommutative string theory *-product is a particular example of this multiplication, and comment on other possible Hopf algebraic properties which may underlie the theory.
7.573132
6.634361
8.263554
6.566322
6.680295
7.094376
7.068199
6.743466
6.682605
7.927941
6.623617
6.576039
7.492713
6.871717
6.664936
6.769168
6.544613
6.932947
6.672244
7.37237
6.913707
hep-th/0602094
Leopoldo A. Pando Zayas
Benjamin A. Burrington, James T. Liu, and Leopoldo A. Pando Zayas
Finite Heisenberg Groups in Quiver Gauge Theories
25 pages, 13 figures
Nucl.Phys.B747:436-454,2006
10.1016/j.nuclphysb.2006.04.022
MCTP-06-01, NSF-KITP-06-07
hep-th
null
We show by direct construction that a large class of quiver gauge theories admits actions of finite Heisenberg groups. We consider various quiver gauge theories that arise as AdS/CFT duals of orbifolds of C^3, the conifold and its orbifolds and some orbifolds of the cone over Y(p,q). Matching the gauge theory analysis with string theory on the corresponding spaces implies that the operators counting wrapped branes do not commute in the presence of flux.
[ { "created": "Thu, 9 Feb 2006 20:53:31 GMT", "version": "v1" }, { "created": "Thu, 9 Feb 2006 22:19:58 GMT", "version": "v2" } ]
2008-11-26
[ [ "Burrington", "Benjamin A.", "" ], [ "Liu", "James T.", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]
We show by direct construction that a large class of quiver gauge theories admits actions of finite Heisenberg groups. We consider various quiver gauge theories that arise as AdS/CFT duals of orbifolds of C^3, the conifold and its orbifolds and some orbifolds of the cone over Y(p,q). Matching the gauge theory analysis with string theory on the corresponding spaces implies that the operators counting wrapped branes do not commute in the presence of flux.
11.876962
10.696361
14.682094
10.241216
11.19575
10.662441
10.668154
9.306159
10.225864
16.378481
10.301198
10.998631
12.435061
11.214684
11.05012
10.458255
11.254912
11.937003
10.668753
11.215609
11.046591
1510.03396
Itzhak Bars
Ignacio J. Araya, Itzhak Bars and Albin James
Journey Beyond the Schwarzschild Black Hole Singularity
5 pages, 4 figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The gravitational constant switches sign abruptly at the singularity, thus we interpret the other side of the singularity as a region of antigravity. The presence of such sign flips is a prediction of local (Weyl) scale invariant geodesically complete spacetimes which improve classical general relativity and string theory. We compute the geodesics for our new black hole and show that all geodesics of a test particle are complete. Hence, an ideal observer, that starts its journey in the usual space of gravity, can reach the other side of the singularity in a finite amount of proper time. As usual, an observer outside of the horizon cannot verify that such phenomena exist. However, the fact that there exist proper observers that can see this, is of fundamental significance for the construction of the correct theory and the interpretation of phenomena pertaining to black holes and cosmology close to and beyond the singularities.
[ { "created": "Mon, 12 Oct 2015 19:15:48 GMT", "version": "v1" } ]
2015-10-13
[ [ "Araya", "Ignacio J.", "" ], [ "Bars", "Itzhak", "" ], [ "James", "Albin", "" ] ]
We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The gravitational constant switches sign abruptly at the singularity, thus we interpret the other side of the singularity as a region of antigravity. The presence of such sign flips is a prediction of local (Weyl) scale invariant geodesically complete spacetimes which improve classical general relativity and string theory. We compute the geodesics for our new black hole and show that all geodesics of a test particle are complete. Hence, an ideal observer, that starts its journey in the usual space of gravity, can reach the other side of the singularity in a finite amount of proper time. As usual, an observer outside of the horizon cannot verify that such phenomena exist. However, the fact that there exist proper observers that can see this, is of fundamental significance for the construction of the correct theory and the interpretation of phenomena pertaining to black holes and cosmology close to and beyond the singularities.
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11.605142
11.556819
11.240446
11.255527
11.626521
11.151615
1801.02696
Yiyang Jia
Antonio M. Garc\'ia-Garc\'ia, Yiyang Jia and Jacobus J. M. Verbaarschot
Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
49 pages, 16 figures
null
10.1007/JHEP04(2018)146
null
hep-th cond-mat.stat-mech
http://creativecommons.org/licenses/by/4.0/
We analytically evaluate the moments of the spectral density of the $q$-body Sachdev-Ye-Kitaev (SYK) model, and obtain order $1/N^2$ corrections for all moments, where $N$ is the total number of Majorana fermions. To order $1/N$, moments are given by those of the weight function of the Q-Hermite polynomials. Representing Wick contractions by rooted chord diagrams, we show that the $1/N^2$ correction for each chord diagram is proportional to the number of triangular loops of the corresponding intersection graph, with an extra grading factor when $q$ is odd. Therefore the problem of finding $1/N^2$ corrections is mapped to a triangle counting problem. Since the total number of triangles is a purely graph-theoretic property, we can compute them for the $q=1$ and $q=2$ SYK models, where the exact moments can be obtained analytically using other methods, and therefore we have solved the moment problem for any $q$ to $1/N^2$ accuracy. The moments are then used to obtain the spectral density of the SYK model to order $1/N^2$. We also obtain an exact analytical result for all contraction diagrams contributing to the moments, which can be evaluated up to eighth order. This shows that the Q-Hermite approximation is accurate even for small values of $N$.
[ { "created": "Mon, 8 Jan 2018 21:36:02 GMT", "version": "v1" }, { "created": "Wed, 31 Jan 2018 20:11:33 GMT", "version": "v2" }, { "created": "Mon, 14 May 2018 18:42:48 GMT", "version": "v3" } ]
2018-06-13
[ [ "García-García", "Antonio M.", "" ], [ "Jia", "Yiyang", "" ], [ "Verbaarschot", "Jacobus J. M.", "" ] ]
We analytically evaluate the moments of the spectral density of the $q$-body Sachdev-Ye-Kitaev (SYK) model, and obtain order $1/N^2$ corrections for all moments, where $N$ is the total number of Majorana fermions. To order $1/N$, moments are given by those of the weight function of the Q-Hermite polynomials. Representing Wick contractions by rooted chord diagrams, we show that the $1/N^2$ correction for each chord diagram is proportional to the number of triangular loops of the corresponding intersection graph, with an extra grading factor when $q$ is odd. Therefore the problem of finding $1/N^2$ corrections is mapped to a triangle counting problem. Since the total number of triangles is a purely graph-theoretic property, we can compute them for the $q=1$ and $q=2$ SYK models, where the exact moments can be obtained analytically using other methods, and therefore we have solved the moment problem for any $q$ to $1/N^2$ accuracy. The moments are then used to obtain the spectral density of the SYK model to order $1/N^2$. We also obtain an exact analytical result for all contraction diagrams contributing to the moments, which can be evaluated up to eighth order. This shows that the Q-Hermite approximation is accurate even for small values of $N$.
6.715542
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6.910982
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6.86684
6.494193
1512.01592
Kara Farnsworth
Kara Farnsworth, Markus A. Luty, and Valentina Prilepina
Positive Energy Conditions in 4D Conformal Field Theory
33 pages, 1 figure v2: adding clarifying information and fixed typos
null
10.1007/JHEP10(2016)001
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We argue that all consistent 4D quantum field theories obey a spacetime-averaged weak energy inequality $\langle T^{00} \rangle \ge -C/L^4$, where $L$ is the size of the smearing region, and $C$ is a positive constant that depends on the theory. If this condition is violated, the theory has states that are indistinguishable from states of negative total energy by any local measurement, and we expect instabilities or other inconsistencies. We apply this condition to 4D conformal field theories, and find that it places constraints on the OPE coefficients of the theory. The constraints we find are weaker than the "conformal collider" constraints of Hofman and Maldacena. We speculate that there may be theories that violate the Hofman-Maldacena bounds, but satisfy our bounds. In 3D CFTs, the only constraint we find is equivalent to the positivity of 2-point function of the energy-momentum tensor, which follows from unitarity. Our calculations are performed using momentum-space Wightman functions, which are remarkably simple functions of momenta, and may be of interest in their own right.
[ { "created": "Fri, 4 Dec 2015 23:31:06 GMT", "version": "v1" }, { "created": "Sat, 23 Apr 2016 20:54:06 GMT", "version": "v2" } ]
2016-11-03
[ [ "Farnsworth", "Kara", "" ], [ "Luty", "Markus A.", "" ], [ "Prilepina", "Valentina", "" ] ]
We argue that all consistent 4D quantum field theories obey a spacetime-averaged weak energy inequality $\langle T^{00} \rangle \ge -C/L^4$, where $L$ is the size of the smearing region, and $C$ is a positive constant that depends on the theory. If this condition is violated, the theory has states that are indistinguishable from states of negative total energy by any local measurement, and we expect instabilities or other inconsistencies. We apply this condition to 4D conformal field theories, and find that it places constraints on the OPE coefficients of the theory. The constraints we find are weaker than the "conformal collider" constraints of Hofman and Maldacena. We speculate that there may be theories that violate the Hofman-Maldacena bounds, but satisfy our bounds. In 3D CFTs, the only constraint we find is equivalent to the positivity of 2-point function of the energy-momentum tensor, which follows from unitarity. Our calculations are performed using momentum-space Wightman functions, which are remarkably simple functions of momenta, and may be of interest in their own right.
5.441123
5.504742
5.733571
5.647902
5.596731
5.604252
5.725868
5.350269
5.683476
6.426889
5.527999
5.413094
5.521506
5.370039
5.379773
5.362315
5.329985
5.259401
5.448927
5.633448
5.300419
hep-th/9305173
null
J. N. Tavares
Chen Integrals, Generalized Loops and Loop Calculus
43p., Latex. arXiv admin NOTE: large portions of pages 8-10 of this submission are taken verbatim and without attribution from pages 252--255 of "The geometry of the mixed Hodge structure on the fundamental group", Proceedings Symposia Pure Math 46 (1987), 247-282, by Richard Hain
Int. J. Mod. Phys. A9 (1994) 4511-4548
10.1142/S0217751X94001795
DF/IST 5.93
hep-th
null
We use Chen iterated line integrals to construct a topological algebra ${\cal A}_p$ of separating functions on the {\it Group of Loops} ${\bf L}{\cal M}_p$. ${\cal A}_p$ has an Hopf algebra structure which allows the construction of a group structure on its spectrum. We call this topological group, the group of generalized loops $\widetilde {{\bf L}{\cal M}_p}$. Then we develope a {\it Loop Calculus}, based on the {\it Endpoint} and {\it Area Derivative Operators}, providing a rigorous mathematical treatment of early heuristic ideas of Gambini, Trias and also Mandelstam, Makeenko and Migdal. Finally we define a natural action of the "pointed" diffeomorphism group $Diff_p({\cal M})$ on $ \widetilde {{\bf L}{\cal M}_p}$, and consider a {\it Variational Derivative} which allows the construction of homotopy invariants. This formalism is useful to construct a mathematical theory of {\it Loop Representation} of Gauge Theories and Quantum Gravity. Figures available by request.
[ { "created": "Sat, 29 May 1993 10:13:47 GMT", "version": "v1" } ]
2015-06-26
[ [ "Tavares", "J. N.", "" ] ]
We use Chen iterated line integrals to construct a topological algebra ${\cal A}_p$ of separating functions on the {\it Group of Loops} ${\bf L}{\cal M}_p$. ${\cal A}_p$ has an Hopf algebra structure which allows the construction of a group structure on its spectrum. We call this topological group, the group of generalized loops $\widetilde {{\bf L}{\cal M}_p}$. Then we develope a {\it Loop Calculus}, based on the {\it Endpoint} and {\it Area Derivative Operators}, providing a rigorous mathematical treatment of early heuristic ideas of Gambini, Trias and also Mandelstam, Makeenko and Migdal. Finally we define a natural action of the "pointed" diffeomorphism group $Diff_p({\cal M})$ on $ \widetilde {{\bf L}{\cal M}_p}$, and consider a {\it Variational Derivative} which allows the construction of homotopy invariants. This formalism is useful to construct a mathematical theory of {\it Loop Representation} of Gauge Theories and Quantum Gravity. Figures available by request.
9.488983
10.159206
10.511856
9.186325
11.325797
10.841809
9.932189
9.389742
9.316904
9.980383
9.855568
9.414948
9.196658
9.162712
9.362425
9.566005
9.041209
9.217927
9.71693
9.329191
9.156021
0909.3571
Emmanuil Saridakis
Genly Leon, Emmanuel N. Saridakis
Phase-space analysis of Horava-Lifshitz cosmology
12 pages, 5 figures
JCAP 0911:006,2009
10.1088/1475-7516/2009/11/006
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We perform a detailed phase-space analysis of Horava-Lifshitz cosmology, with and without the detailed-balance condition. Under detailed-balance we find that the universe can reach a bouncing-oscillatory state at late times, in which dark-energy, behaving as a simple cosmological constant, is dominant. In the case where the detailed-balance condition is relaxed, we find that the universe reaches an eternally expanding, dark-energy-dominated solution, with the oscillatory state preserving also a small probability. Although this analysis indicates that Horava-Lifshitz cosmology can be compatible with observations, it does not enlighten the discussion about its possible conceptual and theoretical problems.
[ { "created": "Sat, 19 Sep 2009 09:00:07 GMT", "version": "v1" } ]
2009-12-15
[ [ "Leon", "Genly", "" ], [ "Saridakis", "Emmanuel N.", "" ] ]
We perform a detailed phase-space analysis of Horava-Lifshitz cosmology, with and without the detailed-balance condition. Under detailed-balance we find that the universe can reach a bouncing-oscillatory state at late times, in which dark-energy, behaving as a simple cosmological constant, is dominant. In the case where the detailed-balance condition is relaxed, we find that the universe reaches an eternally expanding, dark-energy-dominated solution, with the oscillatory state preserving also a small probability. Although this analysis indicates that Horava-Lifshitz cosmology can be compatible with observations, it does not enlighten the discussion about its possible conceptual and theoretical problems.
9.365144
8.951679
8.7804
8.06962
9.740169
9.249419
8.801353
9.6302
8.799369
9.083299
9.086344
8.983988
8.797199
8.794042
8.601838
8.631795
8.898214
8.683328
9.126203
8.910583
8.861575
hep-th/0401207
Yoonbai Kim
Yoonbai Kim, Dong Hyun Park
Scalar Hair of Global Defect and Black Brane World
26 pages, 2 figures
JHEP 0406 (2004) 052
10.1088/1126-6708/2004/06/052
null
hep-th
null
We consider a complex scalar field in (p+3)-dimensional bulk with a negative cosmological constant and study global vortices in two extra-dimensions. We reexamine carefully the coupled scalar and Einstein equations, and show that the boundary value of scalar amplitude at infinity of the extra-dimensions should be smaller than vacuum expectation value. The brane world has a cigar-like geometry with an exponentially decaying warp factor and a flat thick p-brane is embedded. Since a coordinate transformation identifies the obtained brane world as a black p-brane world bounded by a horizon, this strange boundary condition of the scalar amplitude is understood as existence of a short scalar hair.
[ { "created": "Tue, 27 Jan 2004 13:02:13 GMT", "version": "v1" }, { "created": "Sat, 10 Jul 2004 07:45:24 GMT", "version": "v2" } ]
2009-11-10
[ [ "Kim", "Yoonbai", "" ], [ "Park", "Dong Hyun", "" ] ]
We consider a complex scalar field in (p+3)-dimensional bulk with a negative cosmological constant and study global vortices in two extra-dimensions. We reexamine carefully the coupled scalar and Einstein equations, and show that the boundary value of scalar amplitude at infinity of the extra-dimensions should be smaller than vacuum expectation value. The brane world has a cigar-like geometry with an exponentially decaying warp factor and a flat thick p-brane is embedded. Since a coordinate transformation identifies the obtained brane world as a black p-brane world bounded by a horizon, this strange boundary condition of the scalar amplitude is understood as existence of a short scalar hair.
16.096432
15.163886
14.890503
13.361399
14.953392
14.484927
14.77366
15.655321
14.008797
17.544107
14.30237
13.976723
15.435615
14.85741
14.773775
14.880924
15.131422
15.182053
14.860725
16.041565
14.740731
0811.2122
Pierre van Baal
Pierre van Baal
The Witten Index Revisited
7 pag., 4 fig., arXiv number corrected for Ref.3, to appear in the proceedings of Light Cone 2008: Relativistic Nuclear and Particle Physics (LC2008), Mullhouse, France, 7-11 Jul 2008
PoS LC2008:055,2008
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We attempt to deal with the orbifold singularities in the moduli space of flat connections for supersymmetric gauge theories on the torus. The fields are restricted to the fundamental domain, containing no gauge copies, but requiring a boundary condition in field space.
[ { "created": "Thu, 13 Nov 2008 14:31:41 GMT", "version": "v1" }, { "created": "Tue, 25 Nov 2008 14:12:54 GMT", "version": "v2" } ]
2009-02-19
[ [ "van Baal", "Pierre", "" ] ]
We attempt to deal with the orbifold singularities in the moduli space of flat connections for supersymmetric gauge theories on the torus. The fields are restricted to the fundamental domain, containing no gauge copies, but requiring a boundary condition in field space.
19.895247
12.381137
18.739454
15.148563
13.649815
12.882664
12.151317
11.647965
12.788369
20.323917
14.53037
15.230649
17.520662
15.870071
17.123446
16.9193
16.304808
16.334204
16.059755
16.635809
16.356087
2103.08909
Kazumi Okuyama
Kazumi Okuyama
Capacity of entanglement in random pure state
13 pages
null
10.1016/j.physletb.2021.136600
null
hep-th
http://creativecommons.org/licenses/by/4.0/
We compute the capacity of entanglement in the bipartite random pure state model using the replica method. We find the exact expression of the capacity of entanglement which is valid for a finite dimension of the Hilbert space. We argue that in the gravitational path integral, the capacity of entanglement receives contributions only from the sub-leading saddle points corresponding to the partially connected geometries.
[ { "created": "Tue, 16 Mar 2021 08:31:27 GMT", "version": "v1" } ]
2021-08-25
[ [ "Okuyama", "Kazumi", "" ] ]
We compute the capacity of entanglement in the bipartite random pure state model using the replica method. We find the exact expression of the capacity of entanglement which is valid for a finite dimension of the Hilbert space. We argue that in the gravitational path integral, the capacity of entanglement receives contributions only from the sub-leading saddle points corresponding to the partially connected geometries.
8.701404
7.14843
8.985464
7.29913
7.846701
8.02816
7.117887
7.670155
7.757727
9.393031
7.447527
7.511462
8.463622
7.474576
7.486912
7.671108
7.61048
7.560378
7.497993
9.003331
7.550326
1205.0776
Samir Mathur
Samir D. Mathur
Black Holes and Beyond
43 pages, 16 figures (To appear in special volume of Annals of Physics, July 2012); Reference added
null
10.1016/j.aop.2012.05.001
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity do not exhibit any such breakdown, and this forces us into a difficult corner: either we must give up quantum mechanics or we must accept the existence of troublesome `remnants'. In string theory, however, the fundamental quanta are extended objects, and it turns out that the bound states of such objects acquire a size that grows with the number of quanta in the bound state. The interior of the black hole gets completely altered to a `fuzzball' structure, and information is able to escape in radiation from the hole. The semiclassical approximation can break at macroscopic scales due to the large entropy of the hole: the measure in the path integral competes with the classical action, instead of giving a subleading correction. Putting this picture of black hole microstates together with ideas about entangled states leads to a natural set of conjectures on many long-standing questions in gravity: the significance of Rindler and de Sitter entropies, the notion of black hole complementarity, and the fate of an observer falling into a black hole.
[ { "created": "Thu, 3 May 2012 17:47:04 GMT", "version": "v1" }, { "created": "Mon, 14 May 2012 18:58:41 GMT", "version": "v2" } ]
2015-06-05
[ [ "Mathur", "Samir D.", "" ] ]
The black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity do not exhibit any such breakdown, and this forces us into a difficult corner: either we must give up quantum mechanics or we must accept the existence of troublesome `remnants'. In string theory, however, the fundamental quanta are extended objects, and it turns out that the bound states of such objects acquire a size that grows with the number of quanta in the bound state. The interior of the black hole gets completely altered to a `fuzzball' structure, and information is able to escape in radiation from the hole. The semiclassical approximation can break at macroscopic scales due to the large entropy of the hole: the measure in the path integral competes with the classical action, instead of giving a subleading correction. Putting this picture of black hole microstates together with ideas about entangled states leads to a natural set of conjectures on many long-standing questions in gravity: the significance of Rindler and de Sitter entropies, the notion of black hole complementarity, and the fate of an observer falling into a black hole.
10.261135
10.089543
11.622793
10.303814
10.614583
10.574252
10.670684
10.304609
9.935347
11.401804
10.634876
10.17578
10.38719
9.638987
10.159087
10.149968
9.800293
10.011054
9.961153
9.640963
9.768749
hep-th/0604178
Christopher Hull
C. M. Hull
Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
Minor corrections and additions
JHEP0710:057,2007
10.1088/1126-6708/2007/10/057
Imperial/TP/06/CH/01
hep-th
null
The gauged sigma-model argument that string backgrounds related by T-dual give equivalent quantum theories is revisited, taking careful account of global considerations. The topological obstructions to gauging sigma-models give rise to obstructions to T-duality, but these are milder than those for gauging: it is possible to T-dualise a large class of sigma-models that cannot be gauged. For backgrounds that are torus fibrations, it is expected that T-duality can be applied fibrewise in the general case in which there are no globally-defined Killing vector fields, so that there is no isometry symmetry that can be gauged; the derivation of T-duality is extended to this case. The T-duality transformations are presented in terms of globally-defined quantities. The generalisation to non-geometric string backgrounds is discussed, the conditions for the T-dual background to be geometric found and the topology of T-folds analysed.
[ { "created": "Tue, 25 Apr 2006 16:28:38 GMT", "version": "v1" }, { "created": "Wed, 6 Jun 2007 15:03:14 GMT", "version": "v2" }, { "created": "Fri, 28 Sep 2007 13:31:19 GMT", "version": "v3" } ]
2008-11-26
[ [ "Hull", "C. M.", "" ] ]
The gauged sigma-model argument that string backgrounds related by T-dual give equivalent quantum theories is revisited, taking careful account of global considerations. The topological obstructions to gauging sigma-models give rise to obstructions to T-duality, but these are milder than those for gauging: it is possible to T-dualise a large class of sigma-models that cannot be gauged. For backgrounds that are torus fibrations, it is expected that T-duality can be applied fibrewise in the general case in which there are no globally-defined Killing vector fields, so that there is no isometry symmetry that can be gauged; the derivation of T-duality is extended to this case. The T-duality transformations are presented in terms of globally-defined quantities. The generalisation to non-geometric string backgrounds is discussed, the conditions for the T-dual background to be geometric found and the topology of T-folds analysed.
7.764473
8.062083
9.145266
7.597539
7.765515
7.875191
8.468555
7.571392
7.807799
9.773441
7.534573
7.737872
8.230773
7.727661
7.505886
7.254614
7.512994
7.65195
7.446789
8.549829
7.493307
1401.6709
Mikhail Plyushchay
Adrian Arancibia and Mikhail S. Plyushchay
Transmutations of supersymmetry through soliton scattering, and self-consistent condensates
26 pages, 4 figures; refs and comments added
Phys. Rev. D 90, 025008 (2014)
10.1103/PhysRevD.90.025008
null
hep-th math-ph math.MP nlin.SI quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the two most general families of the (1+1)D Dirac systems with transparent scalar potentials, and two related families of the paired reflectionless Schrodinger operators. The ordinary N=2 supersymmetry for such Schrodinger pairs is enlarged up to an exotic N=4 nonlinear centrally extended supersymmetric structure, which involves two bosonic integrals composed from the Lax-Novikov operators for the stationary Korteweg-de Vries hierarchy. Each associated single Dirac system displays a proper N=2 nonlinear supersymmetry with a non-standard grading operator. One of the two families of the first and second order systems exhibits the unbroken supersymmetry, while another is described by the broken exotic supersymmetry. The two families are shown to be mutually transmuted by applying a certain limit procedure to the soliton scattering data. We relate the topologically trivial and nontrivial transparent potentials with self-consistent inhomogeneous condensates in Bogoliubov-de Gennes and Gross-Neveu models, and indicate the exotic N=4 nonlinear supersymmetry of the paired reflectionless Dirac systems.
[ { "created": "Mon, 27 Jan 2014 00:42:46 GMT", "version": "v1" }, { "created": "Tue, 8 Jul 2014 05:12:17 GMT", "version": "v2" } ]
2014-07-09
[ [ "Arancibia", "Adrian", "" ], [ "Plyushchay", "Mikhail S.", "" ] ]
We consider the two most general families of the (1+1)D Dirac systems with transparent scalar potentials, and two related families of the paired reflectionless Schrodinger operators. The ordinary N=2 supersymmetry for such Schrodinger pairs is enlarged up to an exotic N=4 nonlinear centrally extended supersymmetric structure, which involves two bosonic integrals composed from the Lax-Novikov operators for the stationary Korteweg-de Vries hierarchy. Each associated single Dirac system displays a proper N=2 nonlinear supersymmetry with a non-standard grading operator. One of the two families of the first and second order systems exhibits the unbroken supersymmetry, while another is described by the broken exotic supersymmetry. The two families are shown to be mutually transmuted by applying a certain limit procedure to the soliton scattering data. We relate the topologically trivial and nontrivial transparent potentials with self-consistent inhomogeneous condensates in Bogoliubov-de Gennes and Gross-Neveu models, and indicate the exotic N=4 nonlinear supersymmetry of the paired reflectionless Dirac systems.
11.714139
11.300273
13.187302
10.418362
11.323045
10.653491
10.848055
10.994267
10.478781
14.891945
10.484027
10.842048
11.789683
11.035347
10.782726
10.716564
10.76596
10.89811
10.729918
11.921332
10.747288
hep-th/0005272
Victor O. Rivelles
H. O. Girotti, M. Gomes, V. O. Rivelles and A. J. da Silva
A Consistent Noncommutative Field Theory: the Wess-Zumino Model
22 pages, 7 figures. Added references. Typos corrected
Nucl.Phys. B587 (2000) 299-310
10.1016/S0550-3213(00)00483-1
null
hep-th
null
We show that the noncommutative Wess-Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itself is non-renormalizable but the Yukawa terms demanded by supersymmetry improve the situation turning the theory into a renormalizable one. As in the commutative case, there are neither quadratic nor linear divergences. Hence, the IR/UV mixing does not give rise to quadratic infrared poles.
[ { "created": "Mon, 29 May 2000 16:08:28 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2000 19:20:43 GMT", "version": "v2" } ]
2009-10-31
[ [ "Girotti", "H. O.", "" ], [ "Gomes", "M.", "" ], [ "Rivelles", "V. O.", "" ], [ "da Silva", "A. J.", "" ] ]
We show that the noncommutative Wess-Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itself is non-renormalizable but the Yukawa terms demanded by supersymmetry improve the situation turning the theory into a renormalizable one. As in the commutative case, there are neither quadratic nor linear divergences. Hence, the IR/UV mixing does not give rise to quadratic infrared poles.
6.430322
6.054109
6.905866
5.652923
5.447923
5.383252
5.675822
5.764881
5.843041
7.0041
5.761685
5.99041
6.63161
5.987761
5.711509
5.927935
6.011978
5.906914
6.017653
6.42411
5.969527
hep-th/0503186
Bibhuti Bhusan Deo
B.B.Deo
Four Dimensional Supergravity from String Theory
9 pages
Int.J.Mod.Phys. A21 (2006) 237-250
10.1142/S0217751X06025365
null
hep-th
null
A derivation of N=1 supergravity action from string theory is presented. Starting from a Nambu-Goto bosonic string, matter field is introduced to obtain a superstring in four dimension. The excitation quanta of this string contain graviton and the gravitino. Using the principle of equivalence, the action in curved space time are found and the sum of them is the Deser-Zumino N=1 supergravity action. The energy tensor is Lorentz invariant due to supersymmetry.
[ { "created": "Thu, 24 Mar 2005 15:56:51 GMT", "version": "v1" } ]
2009-11-11
[ [ "Deo", "B. B.", "" ] ]
A derivation of N=1 supergravity action from string theory is presented. Starting from a Nambu-Goto bosonic string, matter field is introduced to obtain a superstring in four dimension. The excitation quanta of this string contain graviton and the gravitino. Using the principle of equivalence, the action in curved space time are found and the sum of them is the Deser-Zumino N=1 supergravity action. The energy tensor is Lorentz invariant due to supersymmetry.
11.845851
10.622689
10.759217
10.357253
10.919148
11.274519
10.912101
10.827474
11.093715
11.448294
11.335912
10.844786
11.171039
10.813241
10.61282
10.735056
10.739164
10.573398
10.788939
10.417281
10.466856
1703.02594
Max Riegler
Martin Ammon, Daniel Grumiller, Stefan Prohazka, Max Riegler and Raphaela Wutte
Higher-Spin Flat Space Cosmologies with Soft Hair
22 pages, A Mathematica workbook on ihs[$\lambda$] is included as an ancilliary file; v2: corrected minor misprints; v3: fixed minor issues with the display of some references
JHEP 05 (2017) 031
10.1007/JHEP05(2017)031
TUW--17--01
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic symmetry algebra is given by a set of $\hat{\mathfrak{u}}(1)$ current algebras. The associated charges generate higher-spin soft hair. We derive the entropy for solutions that are continuously connected to flat space cosmologies and find the same result as in the spin-2 case: the entropy is linear in the spin-2 zero-mode charges and independent from the spin-3 charges. Using twisted Sugawara-like constructions of higher-spin currents we show that our simple result for entropy of higher-spin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.
[ { "created": "Tue, 7 Mar 2017 21:01:29 GMT", "version": "v1" }, { "created": "Thu, 21 Sep 2017 09:03:40 GMT", "version": "v2" }, { "created": "Mon, 28 Jan 2019 14:27:00 GMT", "version": "v3" } ]
2019-01-29
[ [ "Ammon", "Martin", "" ], [ "Grumiller", "Daniel", "" ], [ "Prohazka", "Stefan", "" ], [ "Riegler", "Max", "" ], [ "Wutte", "Raphaela", "" ] ]
We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic symmetry algebra is given by a set of $\hat{\mathfrak{u}}(1)$ current algebras. The associated charges generate higher-spin soft hair. We derive the entropy for solutions that are continuously connected to flat space cosmologies and find the same result as in the spin-2 case: the entropy is linear in the spin-2 zero-mode charges and independent from the spin-3 charges. Using twisted Sugawara-like constructions of higher-spin currents we show that our simple result for entropy of higher-spin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.
10.908379
9.829577
12.337628
9.697868
9.472062
9.629509
9.966765
9.57031
10.011293
13.421739
9.724704
10.300316
10.627106
10.321382
10.471736
10.562627
10.140024
10.423033
10.590027
10.964739
10.410646
hep-th/9707055
Datta Dhurjati Prasad
Dhurjati Prasad Datta
Duality and Scaling in Quantum Mechanics
10 pages, Latex, email: dpd@nerist.ernet.in, To appear in Physics Letters A
null
null
null
hep-th
null
The nonadiabatic geometric phase in a time dependent quantum evolution is shown to provide an intrinsic concept of time having dual properties relative to the external time. A nontrivial extension of the ordinary quantum mechanics is thus obtained with interesting scaling laws. A fractal like structure in time is thus revealed.
[ { "created": "Fri, 4 Jul 1997 13:42:13 GMT", "version": "v1" } ]
2007-05-23
[ [ "Datta", "Dhurjati Prasad", "" ] ]
The nonadiabatic geometric phase in a time dependent quantum evolution is shown to provide an intrinsic concept of time having dual properties relative to the external time. A nontrivial extension of the ordinary quantum mechanics is thus obtained with interesting scaling laws. A fractal like structure in time is thus revealed.
24.357386
23.35997
23.356428
20.737198
21.543095
20.380705
20.053047
20.82395
22.124308
22.663963
20.868629
21.771036
23.923237
22.837734
21.396782
22.837881
22.569536
23.352852
22.239166
23.227819
21.755543
1212.5131
Patrizia Vitale
Patrizia Vitale, Jean-Christophe Wallet
Noncommutative field theories on $R^3_\lambda$: Towards UV/IR mixing freedom
31 pages, 4 figures. Improved version. Sections 5.1 and 5.2 have been clarified. A minor error corrected. References added
JHEP 04 (2013) 115
10.1007/JHEP04(2013)115
Orsay preprint LPT-12-97
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of the algebra of functions on $\mathbb{R}^3$ which yields a "foliation" of $\mathbb{R}^3$ into fuzzy spheres. We first construct a natural matrix base adapted to $\mathbb{R}^3_\lambda$. We then apply this general framework to the one-loop study of a two-parameter family of real-valued scalar noncommutative field theories with quartic polynomial interaction, which becomes a non-local matrix model when expressed in the above matrix base. The kinetic operator involves a part related to dynamics on the fuzzy sphere supplemented by a term reproducing radial dynamics. We then compute the planar and non-planar 1-loop contributions to the 2-point correlation function. We find that these diagrams are both finite in the matrix base. We find no singularity of IR type, which signals very likely the absence of UV/IR mixing. We also consider the case of a kinetic operator with only the radial part. We find that the resulting theory is finite to all orders in perturbation expansion.
[ { "created": "Thu, 20 Dec 2012 16:36:08 GMT", "version": "v1" }, { "created": "Thu, 14 Mar 2013 16:12:36 GMT", "version": "v2" } ]
2013-04-24
[ [ "Vitale", "Patrizia", "" ], [ "Wallet", "Jean-Christophe", "" ] ]
We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of the algebra of functions on $\mathbb{R}^3$ which yields a "foliation" of $\mathbb{R}^3$ into fuzzy spheres. We first construct a natural matrix base adapted to $\mathbb{R}^3_\lambda$. We then apply this general framework to the one-loop study of a two-parameter family of real-valued scalar noncommutative field theories with quartic polynomial interaction, which becomes a non-local matrix model when expressed in the above matrix base. The kinetic operator involves a part related to dynamics on the fuzzy sphere supplemented by a term reproducing radial dynamics. We then compute the planar and non-planar 1-loop contributions to the 2-point correlation function. We find that these diagrams are both finite in the matrix base. We find no singularity of IR type, which signals very likely the absence of UV/IR mixing. We also consider the case of a kinetic operator with only the radial part. We find that the resulting theory is finite to all orders in perturbation expansion.
7.447838
6.46533
8.308227
6.579824
6.575131
6.599388
6.763932
6.637632
6.494254
7.839965
6.703281
7.008557
7.340585
6.890117
6.984742
6.686172
6.760929
6.94243
6.864826
7.254454
6.774935
1408.6732
Frank Klinker
Frank Klinker
Eleven-dimensional symmetric supergravity backgrounds, their geometric superalgebras, and a common reduction
12 pages
Bulg. J. Phys. 41 (2014), no. 2, 130-141
null
null
hep-th math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present two different families of eleven-dimensional manifolds that admit non-restricted extensions of the isometry algebras to geometric superalgebras. Both families admit points for which the superalgebra extends to a super Lie algebra; on the one hand, a family of $N=1$, $\nu={}^3\!/\!_4$ supergravity backgrounds and, on the other hand, a family of $N=1$, $\nu=1$ supergravity background. Furthermore, both families admit a point that can be identified with an $N=4$, $\nu={}^1\!/\!_2$ six-dimensional supergravity background.
[ { "created": "Thu, 28 Aug 2014 14:10:51 GMT", "version": "v1" } ]
2014-11-11
[ [ "Klinker", "Frank", "" ] ]
We present two different families of eleven-dimensional manifolds that admit non-restricted extensions of the isometry algebras to geometric superalgebras. Both families admit points for which the superalgebra extends to a super Lie algebra; on the one hand, a family of $N=1$, $\nu={}^3\!/\!_4$ supergravity backgrounds and, on the other hand, a family of $N=1$, $\nu=1$ supergravity background. Furthermore, both families admit a point that can be identified with an $N=4$, $\nu={}^1\!/\!_2$ six-dimensional supergravity background.
7.127553
7.592788
7.471488
7.167914
7.537739
8.349652
8.37202
7.514412
7.064662
8.655426
6.824769
7.221113
7.19856
6.7621
6.93769
6.815215
6.857766
6.819453
6.819982
7.255732
6.709849
1003.4777
Nemanja Kaloper
Nemanja Kaloper, Matthew Kleban and Damien Martin
McVittie's Legacy: Black Holes in an Expanding Universe
23 pages, plain LaTeX, 2 .pdf figures, v3: the finite ingoing time proof improved and generalized, conclusions unchanged
Phys.Rev.D81:104044,2010
10.1103/PhysRevD.81.104044
null
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the cosmology is dominated at late times by a positive cosmological constant, the metric is regular everywhere on and outside the black hole horizon and away from the big bang singularity, and the solutions asymptote in the future and near the horizon to the Schwarzschild-de Sitter geometry. For solutions without a positive cosmological constant the would-be horizon is a weak null singularity.
[ { "created": "Wed, 24 Mar 2010 23:49:48 GMT", "version": "v1" }, { "created": "Sun, 28 Mar 2010 22:46:00 GMT", "version": "v2" }, { "created": "Wed, 28 Jul 2010 16:03:39 GMT", "version": "v3" } ]
2010-07-29
[ [ "Kaloper", "Nemanja", "" ], [ "Kleban", "Matthew", "" ], [ "Martin", "Damien", "" ] ]
We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the cosmology is dominated at late times by a positive cosmological constant, the metric is regular everywhere on and outside the black hole horizon and away from the big bang singularity, and the solutions asymptote in the future and near the horizon to the Schwarzschild-de Sitter geometry. For solutions without a positive cosmological constant the would-be horizon is a weak null singularity.
6.621381
7.641715
6.428734
6.4677
6.904382
6.365667
6.950397
6.302104
6.413005
7.217791
7.043458
6.280359
5.975889
6.134941
6.223276
6.235654
6.339802
6.370829
6.789913
6.203179
6.105248
2204.06495
Michele Del Zotto
Michele Del Zotto and I\~naki Garc\'ia Etxebarria
Global Structures from the Infrared
26 pages, 4 figures
null
null
null
hep-th
http://creativecommons.org/licenses/by/4.0/
Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.
[ { "created": "Wed, 13 Apr 2022 16:24:42 GMT", "version": "v1" } ]
2022-04-14
[ [ "Del Zotto", "Michele", "" ], [ "Etxebarria", "Iñaki García", "" ] ]
Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.
15.027908
13.788483
17.758778
13.238291
12.270215
12.716276
11.297805
12.639699
13.656422
22.86636
13.009527
13.268616
14.978008
13.33087
13.505663
13.291682
12.752262
13.15059
13.226841
14.598867
13.508388
hep-th/9505109
D'Hoker
Eric D'Hoker
Invariant Effective Actions and Cohomology
15 pages, Plain TeX, no figures
null
null
UCLA/95/TEP/11
hep-th
null
We review the correspondence between effective actions resulting from non-invariant Lagrangian densities, for Goldstone bosons arising from spontaneous breakdown of a symmetry group G to a subgroup H, and non-trivial generators of the de Rham cohomology of G/H. We summarize the construction of cohomology generators in terms of symmetric tensors with certain invariance and vanishing properties with respect to G and H. The resulting actions in four dimensions arise either from products of generators of lower degree such as the Goldstone-Wilczek current, or are of the Wess-Zumino-Witten type. Actions in three dimensions arise as Chern-Simons terms evaluated on composite gauge fields and may induce fractional spin on solitons. {Contribution to the Proceedings of STRINGS 95, held at University of Southern California, March 13 - 18, 1995.}
[ { "created": "Wed, 17 May 1995 01:33:49 GMT", "version": "v1" } ]
2007-05-23
[ [ "D'Hoker", "Eric", "" ] ]
We review the correspondence between effective actions resulting from non-invariant Lagrangian densities, for Goldstone bosons arising from spontaneous breakdown of a symmetry group G to a subgroup H, and non-trivial generators of the de Rham cohomology of G/H. We summarize the construction of cohomology generators in terms of symmetric tensors with certain invariance and vanishing properties with respect to G and H. The resulting actions in four dimensions arise either from products of generators of lower degree such as the Goldstone-Wilczek current, or are of the Wess-Zumino-Witten type. Actions in three dimensions arise as Chern-Simons terms evaluated on composite gauge fields and may induce fractional spin on solitons. {Contribution to the Proceedings of STRINGS 95, held at University of Southern California, March 13 - 18, 1995.}
9.368579
9.735755
9.957127
8.487405
9.465605
9.377907
9.59894
8.777131
8.770405
10.798632
8.544322
9.015143
8.762825
8.75469
8.737776
9.15029
8.966694
8.810083
8.908545
9.083374
8.651265
0707.4592
Juan Mateos Guilarte
A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado, J. Mateos Guilarte
One loop corrections to the mass of self-dual semi-local planar topological solitons
Latex file, 29 pages, 10 Tables, 10 Figures. Version to appear in Nuclear Physics B
Nucl.Phys.B797:431-463,2008
10.1016/j.nuclphysb.2007.11.023
null
hep-th
null
A formula is derived that allows the computation of one-loop mass shifts for self-dual semilocal topological solitons. These extended objects, which in three spatial dimensions are called semi-local strings, arise in a generalized Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of global, SU(2), and local (gauge), U(1), symmetries, this weird system may seem bizarre, but it is in fact the bosonic sector of electro-weak theory when the weak mixing angle is of 90 degrees. The procedure for computing the semi-classical mass shifts is based on canonical quantization and heat kernel/zeta function regularization methods.
[ { "created": "Tue, 31 Jul 2007 11:43:13 GMT", "version": "v1" }, { "created": "Wed, 1 Aug 2007 10:16:30 GMT", "version": "v2" }, { "created": "Tue, 20 Nov 2007 12:21:45 GMT", "version": "v3" } ]
2008-11-26
[ [ "Izquierdo", "A. Alonso", "" ], [ "Fuertes", "W. Garcia", "" ], [ "Mayado", "M. de la Torre", "" ], [ "Guilarte", "J. Mateos", "" ] ]
A formula is derived that allows the computation of one-loop mass shifts for self-dual semilocal topological solitons. These extended objects, which in three spatial dimensions are called semi-local strings, arise in a generalized Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of global, SU(2), and local (gauge), U(1), symmetries, this weird system may seem bizarre, but it is in fact the bosonic sector of electro-weak theory when the weak mixing angle is of 90 degrees. The procedure for computing the semi-classical mass shifts is based on canonical quantization and heat kernel/zeta function regularization methods.
11.452687
10.893447
11.933281
9.397148
10.937619
9.977757
9.370422
9.610739
11.460755
13.588844
9.973676
10.509403
10.599799
10.233881
10.166425
10.602489
10.319845
10.25066
10.344861
11.243364
10.172537
hep-th/9906027
Eric D'Hoker
Eric D'Hoker and D.H. Phong
Seiberg-Witten Theory and Calogero-Moser Systems
24 pages, Plain TeX, Contribution to Proceedings of Workshop on Gauge Theory and Integrable Models, Kyoto 1999
Prog.Theor.Phys.Suppl.135:75-93,1999
10.1143/PTPS.135.75
UCLA/99/TEP/21, Columbia/99/Math
hep-th
null
We present a brief account of a series of recent results on twisted and untwisted elliptic Calogero-Moser systems, and on their fundamental role in the Seiberg-Witten solution of gauge theories with one massive hypermultiplet in the adjoint representation of an arbitrary gauge algebra G.
[ { "created": "Thu, 3 Jun 1999 16:42:30 GMT", "version": "v1" } ]
2008-11-26
[ [ "D'Hoker", "Eric", "" ], [ "Phong", "D. H.", "" ] ]
We present a brief account of a series of recent results on twisted and untwisted elliptic Calogero-Moser systems, and on their fundamental role in the Seiberg-Witten solution of gauge theories with one massive hypermultiplet in the adjoint representation of an arbitrary gauge algebra G.
9.36627
7.065547
11.528637
7.206583
7.062926
7.519273
6.576416
7.266816
6.42973
10.935619
7.107985
7.284108
8.057531
7.265247
7.20703
7.168
7.227509
7.799341
6.965131
8.121109
7.647434
1907.02445
Johan Henriksson
Luis F. Alday, Johan Henriksson, Mark van Loon
An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$
32 pages + appendices, 2 figures. v2: Improved presentation + new appendix considering mixed correlator. Version to appear in JHEP
null
10.1007/JHEP01(2020)063
null
hep-th cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply the methods of modern analytic bootstrap to the critical $O(N)$ model in a $1/N$ expansion. At infinite $N$ the model possesses higher spin symmetry which is weakly broken as we turn on $1/N$. By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order $1/N$, and the CFT-data for the non-singlet currents to order $1/N^2$. To order $1/N$ our results are in perfect agreement with those in the literature. To order $1/N^2$ we reproduce known results for anomalous dimensions and obtain a variety of new results for structure constants, including the global symmetry central charge $C_J$ to this order.
[ { "created": "Thu, 4 Jul 2019 15:09:06 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2019 09:52:44 GMT", "version": "v2" } ]
2020-01-29
[ [ "Alday", "Luis F.", "" ], [ "Henriksson", "Johan", "" ], [ "van Loon", "Mark", "" ] ]
We apply the methods of modern analytic bootstrap to the critical $O(N)$ model in a $1/N$ expansion. At infinite $N$ the model possesses higher spin symmetry which is weakly broken as we turn on $1/N$. By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order $1/N$, and the CFT-data for the non-singlet currents to order $1/N^2$. To order $1/N$ our results are in perfect agreement with those in the literature. To order $1/N^2$ we reproduce known results for anomalous dimensions and obtain a variety of new results for structure constants, including the global symmetry central charge $C_J$ to this order.
7.2428
6.750484
7.945227
6.341109
6.598471
6.726404
6.314024
6.602489
6.113733
8.824025
6.738461
6.569434
6.877509
6.45374
6.661153
6.593529
6.821696
6.559256
6.510614
6.94821
6.623047
0710.2204
Valery Kiselev
V.V.Kiselev, S.A.Timofeev
Small cosmological constant in seesaw mechanism with breaking down SUSY
12 pages, revtex4 class, 2 eps-figures
Phys.Rev. D77 (2008) 063518
10.1103/PhysRevD.77.063518
null
hep-th gr-qc hep-ph
null
The observed small value of cosmological constant can be naturally related with the scale of breaking down supersymmetry in agreement with other evaluations in particle physics.
[ { "created": "Thu, 11 Oct 2007 10:52:59 GMT", "version": "v1" } ]
2019-11-28
[ [ "Kiselev", "V. V.", "" ], [ "Timofeev", "S. A.", "" ] ]
The observed small value of cosmological constant can be naturally related with the scale of breaking down supersymmetry in agreement with other evaluations in particle physics.
36.690903
22.962425
18.699495
18.659678
23.76684
21.362873
25.669167
19.087042
20.793776
22.750021
24.565145
26.632242
24.517477
23.658072
24.493305
25.84815
27.103712
24.55094
24.616127
23.754364
28.150898
0712.0570
David Vercauteren
David Vercauteren, Henri Verschelde
Resolving the instability of the Savvidy vacuum by dynamical gluon mass
11 pages, 8 figures
Phys.Lett.B660:432-438,2008
10.1016/j.physletb.2008.01.013
null
hep-th
null
In this paper we apply the formalism of local composite operators as developed by Verschelde et al. in combination with a constant chromomagnetic field as considered in the seventies by Savvidy and others. We find that a nonzero <A_\mu^2> minimizes the vacuum energy, as in the case with no chromomagnetic field, and that the chromomagnetic field itself is near-to zero. The Nielsen-Olesen instability, caused by the imaginary part in the action, also vanishes. We further investigate the effect of an external chromomagnetic field on the value of <A_\mu^2>, finding that this condensate is destroyed by sufficiently strong fields. The inverse scenario, where <A_\mu^2> is considered as external, results in analogous findings: when this condensate is sufficiently large, the induced chromomagnetic field is lowered to a perturbative value slightly below the applied <A_\mu^2>.
[ { "created": "Tue, 4 Dec 2007 16:51:25 GMT", "version": "v1" } ]
2008-11-26
[ [ "Vercauteren", "David", "" ], [ "Verschelde", "Henri", "" ] ]
In this paper we apply the formalism of local composite operators as developed by Verschelde et al. in combination with a constant chromomagnetic field as considered in the seventies by Savvidy and others. We find that a nonzero <A_\mu^2> minimizes the vacuum energy, as in the case with no chromomagnetic field, and that the chromomagnetic field itself is near-to zero. The Nielsen-Olesen instability, caused by the imaginary part in the action, also vanishes. We further investigate the effect of an external chromomagnetic field on the value of <A_\mu^2>, finding that this condensate is destroyed by sufficiently strong fields. The inverse scenario, where <A_\mu^2> is considered as external, results in analogous findings: when this condensate is sufficiently large, the induced chromomagnetic field is lowered to a perturbative value slightly below the applied <A_\mu^2>.
8.849694
8.656525
9.80091
8.468933
8.519588
9.620535
8.74186
8.165799
8.224613
9.444586
8.560753
8.450843
8.403544
8.456518
8.53654
8.625987
8.505804
8.293327
8.367711
8.448958
8.367497
2111.04201
Lars Aalsma
Lars Aalsma
Corrections to Extremal Black Holes from Iyer-Wald Formalism
8 pages, 1 figure. v2: Minor clarifications, added reference. Matches published version
null
10.1103/PhysRevD.105.066022
null
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
We present a general method of computing corrections to the extremality bound and entropy of Kerr-Newman black holes due to an arbitrary perturbation using the Iyer-Wald formalism. In this method, corrections to the extremality bound are given by an integral over an effective stress tensor which, in particular cases of interest, reduces to the usual stress tensor. This clarifies the relation between extremality corrections and energy conditions. In particular, we show that a necessary condition to decrease the mass of an extremal black hole in a canonical ensemble, as required by the weak gravity conjecture, is that the perturbation violates the dominant energy condition. As an application of our method, we compute higher-derivative corrections to charged black holes in anti-de Sitter space and Kerr black holes.
[ { "created": "Sun, 7 Nov 2021 23:19:01 GMT", "version": "v1" }, { "created": "Fri, 15 Apr 2022 14:27:09 GMT", "version": "v2" } ]
2022-04-18
[ [ "Aalsma", "Lars", "" ] ]
We present a general method of computing corrections to the extremality bound and entropy of Kerr-Newman black holes due to an arbitrary perturbation using the Iyer-Wald formalism. In this method, corrections to the extremality bound are given by an integral over an effective stress tensor which, in particular cases of interest, reduces to the usual stress tensor. This clarifies the relation between extremality corrections and energy conditions. In particular, we show that a necessary condition to decrease the mass of an extremal black hole in a canonical ensemble, as required by the weak gravity conjecture, is that the perturbation violates the dominant energy condition. As an application of our method, we compute higher-derivative corrections to charged black holes in anti-de Sitter space and Kerr black holes.
6.27466
5.997171
5.897914
5.660647
5.834385
5.756341
5.473135
6.00114
5.946176
6.243549
5.989584
5.798063
5.90603
5.73458
5.674588
5.829546
5.706494
6.03635
5.727787
6.101148
5.922619
0711.0805
Soumitra SenGupta
Soumitra SenGupta
Fermion mass splitting, stability and naturalness problems in warped braneworld models
11 Pages, Latex, 3 figures, Contributed to International Workshop on Theoretical High Energy Physics, Roorkee, India, 15 to 20 March 2007
AIP Conf.Proc.939:236-246,2007
10.1063/1.2803810
null
hep-th hep-ph
null
We generalize the Randall Sundrum warped braneworld model in six and higher dimension and propose a resolution to the mass hierarchy among the standard model fermions. The fine tuning problem in connection with the scalar mass however is shown to reappear in a new guise in five dimensional warped model when the two form antisymmetric tensor fields, a massless string mode, propagates in the bulk. Finally the issue of modulus stabilization is re-examined in presence of a bulk scalar by considering it's back-reaction on the background geometry. The role of higher derivative term of the bulk scalar is shown to be crucial to achieve modulus stabilization.
[ { "created": "Tue, 6 Nov 2007 07:19:36 GMT", "version": "v1" } ]
2010-11-11
[ [ "SenGupta", "Soumitra", "" ] ]
We generalize the Randall Sundrum warped braneworld model in six and higher dimension and propose a resolution to the mass hierarchy among the standard model fermions. The fine tuning problem in connection with the scalar mass however is shown to reappear in a new guise in five dimensional warped model when the two form antisymmetric tensor fields, a massless string mode, propagates in the bulk. Finally the issue of modulus stabilization is re-examined in presence of a bulk scalar by considering it's back-reaction on the background geometry. The role of higher derivative term of the bulk scalar is shown to be crucial to achieve modulus stabilization.
14.622176
13.226331
14.966282
12.658671
14.05876
12.990379
14.584929
13.487966
13.403201
14.726933
13.040916
14.244555
13.465336
13.190592
13.751218
14.045302
13.518044
13.922365
13.79635
13.809733
13.790669
hep-th/9502070
Kei-ichi Kondo
Kei-Ichi Kondo (Chiba University)
Thirring Model as a Gauge Theory
18 pages, LaTeX (revised final version, to be published in Nucl. Phys. B)
Nucl.Phys. B450 (1995) 251-266
10.1016/0550-3213(95)00316-K
CHIBA-EP-87-REV
hep-th
null
We give another reformulation of the Thirring model (with four-fermion interaction of the current-current type) as a gauge theory and identify it with a gauge-fixed version of the corresponding gauge theory according to the Batalin-Fradkin formalism. Based on this formalism, we study the chiral symmetry breaking of the $D$-dimensional Thirring model ($2<D<4$) with $N$ flavors of 4-component fermions. By constructing the gauge covariant effective potential for the chiral order parameter, up to the leading order of $1/N$ expansion, we show the existence of the second order chiral phase transition and obtain explicitly the critical number of flavors $N_c$ (resp. critical four-fermion coupling $G_c$) as a function of the four-fermion coupling $G$ (resp. $N$), below (resp. above) which the chiral symmetry is spontaneously broken.
[ { "created": "Mon, 13 Feb 1995 08:06:56 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 1995 06:12:43 GMT", "version": "v2" }, { "created": "Sun, 27 Aug 1995 02:42:10 GMT", "version": "v3" } ]
2009-10-28
[ [ "Kondo", "Kei-Ichi", "", "Chiba University" ] ]
We give another reformulation of the Thirring model (with four-fermion interaction of the current-current type) as a gauge theory and identify it with a gauge-fixed version of the corresponding gauge theory according to the Batalin-Fradkin formalism. Based on this formalism, we study the chiral symmetry breaking of the $D$-dimensional Thirring model ($2<D<4$) with $N$ flavors of 4-component fermions. By constructing the gauge covariant effective potential for the chiral order parameter, up to the leading order of $1/N$ expansion, we show the existence of the second order chiral phase transition and obtain explicitly the critical number of flavors $N_c$ (resp. critical four-fermion coupling $G_c$) as a function of the four-fermion coupling $G$ (resp. $N$), below (resp. above) which the chiral symmetry is spontaneously broken.
4.974604
4.494517
5.013098
4.453369
5.04952
4.312643
4.654891
4.524406
4.596625
4.894425
4.690225
4.60488
4.716568
4.65651
4.793965
4.625965
4.787108
4.644084
4.718889
4.710207
4.677034
hep-th/9211089
Netah
Rolf Schimmrigk
Novel Flows beteen N=2 Landau-Ginzburg Theories: New Directions in Moduli Space via c=0 Theories
10 pages, HD-THEP-92-37
Theor. Math. Phys. 95 (1993) 595-603
null
null
hep-th
null
A new method for constructing flows between distinct Landau-Ginzburg theories at fixed central charge is presented. The essential ingredient of the construction is an enlarged moduli space obtained by adding theories with zero central charge. The flows involve only marginal directions hence they can be applied to transitions between string vacua, in particular to the construction of mirror pairs of string ground states described by RG fixed points of N=2 supersymmetric Landau--Ginzburg theories. In contrast to previous methods this new construction of mirror theories does not depend on particular symmetries of the original theory.
[ { "created": "Thu, 19 Nov 1992 12:52:17 GMT", "version": "v1" } ]
2007-05-23
[ [ "Schimmrigk", "Rolf", "" ] ]
A new method for constructing flows between distinct Landau-Ginzburg theories at fixed central charge is presented. The essential ingredient of the construction is an enlarged moduli space obtained by adding theories with zero central charge. The flows involve only marginal directions hence they can be applied to transitions between string vacua, in particular to the construction of mirror pairs of string ground states described by RG fixed points of N=2 supersymmetric Landau--Ginzburg theories. In contrast to previous methods this new construction of mirror theories does not depend on particular symmetries of the original theory.
14.409132
13.036242
13.653831
12.468397
14.203348
14.350449
13.480642
12.770226
12.11308
16.981636
12.501434
12.013686
13.339178
12.16006
11.859097
11.82209
11.746218
12.299281
12.06446
13.545442
12.164198
hep-th/9904146
Shin'ichi Nojiri
Shin'ichi Nojiri and Sergei D. Odintsov
Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
LaTeX file, 12 pages, the discussion of the Hawking radiation is added
Phys.Lett.B463:57-62,1999
10.1016/S0370-2693(99)00946-6
NDA-FP-60
hep-th
null
The reduction of 4d matter-gravity theory to $S_2$, $H_2$ or $R_2$ leads to effective 2d dilatonic gravity with dilaton coupled matter. Spinors give the exceptional example of the theory which is conformally invariant in 4d as well as in 2d, after reduction. We find 4d and 2d conformal anomaly induced effective action (EA) for Majorana spinor. It is expected for some time that s-wave EA (i.e. the one for dilaton coupled 2d matter) is some (s-wave) approximation to 4d EA. We compare such 2d and 4d spinor EAs on the same gravitational background and argue that s-wave EA indeed qualitatively corresponds to no higher derivatives approximation for 4d EA.
[ { "created": "Wed, 21 Apr 1999 13:49:12 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 1999 03:56:33 GMT", "version": "v2" } ]
2009-09-17
[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]
The reduction of 4d matter-gravity theory to $S_2$, $H_2$ or $R_2$ leads to effective 2d dilatonic gravity with dilaton coupled matter. Spinors give the exceptional example of the theory which is conformally invariant in 4d as well as in 2d, after reduction. We find 4d and 2d conformal anomaly induced effective action (EA) for Majorana spinor. It is expected for some time that s-wave EA (i.e. the one for dilaton coupled 2d matter) is some (s-wave) approximation to 4d EA. We compare such 2d and 4d spinor EAs on the same gravitational background and argue that s-wave EA indeed qualitatively corresponds to no higher derivatives approximation for 4d EA.
12.477684
9.200786
11.026177
10.032581
10.468319
9.693883
10.772443
9.528817
10.005633
11.645281
9.945875
9.993215
10.748877
10.223845
10.189274
10.180041
10.38011
10.396565
10.495178
11.436757
10.36579
hep-th/9405125
null
T.D.Palev and N.I.Stoilova
Wigner quantum oscillators. Osp(3/2) oscillators
TeX, Preprint INRNE-TH-94/3, 17 p
J.Phys. A27 (1994) 7387-7402
10.1088/0305-4470/27/22/014
null
hep-th
null
The properties of the three-dimensional noncanonical osp(3/2) oscillators, introduced in J.Phys. A: Math. Gen. {\bf 27} (1994) 977, are further studied. The angular momentum M of the oscillators can take at most three values M=p-1,p,p+1, which are either all integers or all half-integers. The coordinates anticommute with each other. Depending on the state space the energy spectrum can coincide or can be essentially different from those of the canonical oscillator. The ground state is in general degenerated.
[ { "created": "Thu, 19 May 1994 11:11:04 GMT", "version": "v1" } ]
2009-10-28
[ [ "Palev", "T. D.", "" ], [ "Stoilova", "N. I.", "" ] ]
The properties of the three-dimensional noncanonical osp(3/2) oscillators, introduced in J.Phys. A: Math. Gen. {\bf 27} (1994) 977, are further studied. The angular momentum M of the oscillators can take at most three values M=p-1,p,p+1, which are either all integers or all half-integers. The coordinates anticommute with each other. Depending on the state space the energy spectrum can coincide or can be essentially different from those of the canonical oscillator. The ground state is in general degenerated.
10.931743
10.912697
11.495769
10.74734
10.229963
10.636127
11.197304
11.037073
10.704004
12.771315
9.97661
10.192994
10.968106
10.396908
10.148542
10.077778
10.352301
10.216178
10.509385
10.815696
10.178444
0709.1838
Marika Taylor
Marika Taylor
Matching of correlators in AdS_3/CFT_2
19 pages
JHEP 0806:010,2008
10.1088/1126-6708/2008/06/010
null
hep-th
null
Recently exact agreement has been found between three-point correlators of chiral operators computed in string theory on AdS_3 x S^3 x T^4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown that these correlators disagree with those computed in supergravity, under any identification of single particle operators which respects the symmetries. In this note we resolve this disagreement: the key point is that mixings with multi-particle operators are not suppressed even at large N in extremal correlators. Allowing for such mixings, orbifold/string theory operators and supergravity operators can be matched such that both non-extremal and extremal three point functions agree, giving further evidence for the non-renormalization of the chiral ring.
[ { "created": "Wed, 12 Sep 2007 17:26:21 GMT", "version": "v1" } ]
2009-06-11
[ [ "Taylor", "Marika", "" ] ]
Recently exact agreement has been found between three-point correlators of chiral operators computed in string theory on AdS_3 x S^3 x T^4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown that these correlators disagree with those computed in supergravity, under any identification of single particle operators which respects the symmetries. In this note we resolve this disagreement: the key point is that mixings with multi-particle operators are not suppressed even at large N in extremal correlators. Allowing for such mixings, orbifold/string theory operators and supergravity operators can be matched such that both non-extremal and extremal three point functions agree, giving further evidence for the non-renormalization of the chiral ring.
8.461609
8.784781
9.72859
7.882052
7.791165
8.781502
7.970261
8.130295
7.35301
10.780179
7.523053
7.38702
8.717906
7.248057
7.624911
7.57725
7.353164
7.321834
7.535433
8.79561
7.375757
hep-th/9204041
null
P. Fre', L. Girardello, A. Lerda and P. Soriani
Topological First-Order Systems with Landau-Ginzburg Interactions
37 pages
Nucl.Phys. B387 (1992) 333-372
10.1016/0550-3213(92)90164-7
null
hep-th
null
We consider the realization of N=2 superconformal models in terms of free first-order $(b,c,\beta,\gamma)$-systems, and show that an arbitrary Landau-Ginzburg interaction with quasi-homogeneous potential can be introduced without spoiling the (2,2)-superconformal invariance. We discuss the topological twisting and the renormalization group properties of these theories, and compare them to the conventional topological Landau-Ginzburg models. We show that in our formulation the parameters multiplying deformation terms in the potential are flat coordinates. After properly bosonizing the first-order systems, we are able to make explicit calculations of topological correlation functions as power series in these flat coordinates by using standard Coulomb gas techniques. We retrieve known results for the minimal models and for the torus.
[ { "created": "Fri, 10 Apr 1992 15:19:22 GMT", "version": "v1" } ]
2009-10-22
[ [ "Fre'", "P.", "" ], [ "Girardello", "L.", "" ], [ "Lerda", "A.", "" ], [ "Soriani", "P.", "" ] ]
We consider the realization of N=2 superconformal models in terms of free first-order $(b,c,\beta,\gamma)$-systems, and show that an arbitrary Landau-Ginzburg interaction with quasi-homogeneous potential can be introduced without spoiling the (2,2)-superconformal invariance. We discuss the topological twisting and the renormalization group properties of these theories, and compare them to the conventional topological Landau-Ginzburg models. We show that in our formulation the parameters multiplying deformation terms in the potential are flat coordinates. After properly bosonizing the first-order systems, we are able to make explicit calculations of topological correlation functions as power series in these flat coordinates by using standard Coulomb gas techniques. We retrieve known results for the minimal models and for the torus.
9.484462
9.562593
10.816047
8.83936
8.705138
9.459324
9.062586
9.003883
9.136195
11.029732
8.866909
8.965446
9.778515
9.071801
9.182035
8.861368
9.095828
8.922298
9.219379
9.628742
8.896547
hep-th/9707167
Sangmin Lee
Sangmin Lee and Larus Thorlacius (Princeton University)
Strings and D-Branes at High Temperature
8 pages, LaTeX, 1 figure
Phys.Lett.B413:303-310,1997
10.1016/S0370-2693(97)01105-2
PUPT-1708
hep-th
null
The thermodynamics of a gas of strings and D-branes near the Hagedorn transition is described by a coupled set of Boltzmann equations for weakly interacting open and closed long strings. The resulting distributions are dominated by the open string sector, indicating that D-branes grow to fill space at high temperature.
[ { "created": "Fri, 18 Jul 1997 15:00:41 GMT", "version": "v1" } ]
2008-11-26
[ [ "Lee", "Sangmin", "", "Princeton University" ], [ "Thorlacius", "Larus", "", "Princeton University" ] ]
The thermodynamics of a gas of strings and D-branes near the Hagedorn transition is described by a coupled set of Boltzmann equations for weakly interacting open and closed long strings. The resulting distributions are dominated by the open string sector, indicating that D-branes grow to fill space at high temperature.
10.344156
7.566696
9.373454
7.796775
7.673436
8.269956
8.120809
8.548551
7.839956
9.961729
8.47537
8.746649
8.965031
8.566679
8.161031
8.505015
8.43309
8.756501
8.155998
8.230078
8.191839
1809.07259
Miok Park
Yein Lee, Matthew Richards, Sean Stotyn, Miok Park
Quasilocal Smarr relation for an asymptotically flat spacetime
22 pages, overall reorganized
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the thermodynamics of Einstein-Maxwell(-Dilaton) theory for an asymptotically flat spacetime in a quasilocal frame. We firstly define a quasilocal thermodynamic potential via the Euclidean on-shell action and formulate a quasilocal Smarr relation from Eulerian theorem. Then we calculate quasilocal energy and surface pressure by employing Brown-York quasilocal method along with Mann-Marolf counterterm and find entropy from the quasilocal thermodynamic potential. These quasilocal variables are consistent with Tolman temperature and the entropy in a quasilocal frame turns out to be same as the Bekenstein-Hawking entropy. As a result, we found that a surface pressure term and its conjugate variable, a quasilocal area, do not participate in a quasilocal thermodynamic potential, but should present in a quasilocal Smarr relation and the quasilocal first law of black hole thermodynamics. For dyonic black hole solutions having dynamic dilaton field, non-trivial dilaton contribution should take part in the quasilocal first law but not in the quasilocal Smarr relation.
[ { "created": "Wed, 19 Sep 2018 15:59:41 GMT", "version": "v1" }, { "created": "Tue, 24 Dec 2019 19:10:22 GMT", "version": "v2" }, { "created": "Thu, 28 Jan 2021 14:13:42 GMT", "version": "v3" } ]
2021-01-29
[ [ "Lee", "Yein", "" ], [ "Richards", "Matthew", "" ], [ "Stotyn", "Sean", "" ], [ "Park", "Miok", "" ] ]
We investigate the thermodynamics of Einstein-Maxwell(-Dilaton) theory for an asymptotically flat spacetime in a quasilocal frame. We firstly define a quasilocal thermodynamic potential via the Euclidean on-shell action and formulate a quasilocal Smarr relation from Eulerian theorem. Then we calculate quasilocal energy and surface pressure by employing Brown-York quasilocal method along with Mann-Marolf counterterm and find entropy from the quasilocal thermodynamic potential. These quasilocal variables are consistent with Tolman temperature and the entropy in a quasilocal frame turns out to be same as the Bekenstein-Hawking entropy. As a result, we found that a surface pressure term and its conjugate variable, a quasilocal area, do not participate in a quasilocal thermodynamic potential, but should present in a quasilocal Smarr relation and the quasilocal first law of black hole thermodynamics. For dyonic black hole solutions having dynamic dilaton field, non-trivial dilaton contribution should take part in the quasilocal first law but not in the quasilocal Smarr relation.
7.502683
8.084406
7.566382
7.293612
8.027531
8.345078
7.874606
7.405841
7.578657
8.411155
7.171708
7.368248
7.397408
7.313276
7.466751
7.258671
7.409621
7.062323
7.334441
7.345489
7.206088
1105.3920
Carlos Bonin
C. A. Bonin and B. M. Pimentel
The Matsubara-Fradkin Thermodynamical Quantization of Podolsky Electrodynamics
Submitted to Physical Review D
null
10.1103/PhysRevD.84.065023
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we apply the Matsubara-Fradkin formalism and the Nakanishi's auxiliary field method to the quantization of the Podolsky electrodynamics in thermodynamic equilibrium. This approach allows us to write consistently the path integral representation for the partition function of gauge theories in a simple manner. Furthermore, we find the Dyson-Schwinger-Fradkin equations and the Ward-Fradkin-Takahashi identities for the Podolsky theory. We also write the most general form for the polarization tensor in thermodynamic equilibrium.
[ { "created": "Thu, 19 May 2011 15:48:43 GMT", "version": "v1" } ]
2015-05-28
[ [ "Bonin", "C. A.", "" ], [ "Pimentel", "B. M.", "" ] ]
In this work we apply the Matsubara-Fradkin formalism and the Nakanishi's auxiliary field method to the quantization of the Podolsky electrodynamics in thermodynamic equilibrium. This approach allows us to write consistently the path integral representation for the partition function of gauge theories in a simple manner. Furthermore, we find the Dyson-Schwinger-Fradkin equations and the Ward-Fradkin-Takahashi identities for the Podolsky theory. We also write the most general form for the polarization tensor in thermodynamic equilibrium.
7.180315
5.957571
7.136213
6.187642
6.383172
5.989962
5.95903
6.199208
6.201715
7.39977
6.262469
6.036107
6.778547
6.420265
6.243059
6.160265
6.107044
6.338869
6.401033
6.795147
6.379406
1712.08861
Brian Willett
Chiara Toldo and Brian Willett
Partition functions on 3d circle bundles and their gravity duals
typos in eqs 5.51 and subsequent fixed, conclusions unaltered
null
10.1007/JHEP05(2018)116
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The partition function of a three-dimensional $\mathcal{N} =2$ theory on the manifold $\mathcal{M}_{g,p}$, an $S^1$ bundle of degree $p$ over a closed Riemann surface $\Sigma_g$, was recently computed via supersymmetric localization. In this paper, we compute these partition functions at large $N$ in a class of quiver gauge theories with holographic M-theory duals. We provide the supergravity bulk dual having as conformal boundary such three-dimensional circle bundles. These configurations are solutions to $\mathcal{N}=2$ minimal gauged supergravity and pertain to the class of Taub-NUT-AdS and Taub-Bolt-AdS preserving $1/4$ of the supersymmetries. We discuss the conditions for the uplift of these solutions to M-theory, and compute the on-shell action via holographic renormalization. We show that the uplift condition and on-shell action for the Bolt solutions are correctly reproduced by the large $N$ limit of the partition function of the dual superconformal field theory. In particular, the $\Sigma_g \times S^1 \cong \mathcal{M}_{g,0}$ partition function, which was recently shown to match the entropy of $AdS_4$ black holes, and the $S^3 \cong \mathcal{M}_{0,1}$ free energy, occur as special cases of our formalism, and we comment on relations between them.
[ { "created": "Sat, 23 Dec 2017 23:36:06 GMT", "version": "v1" }, { "created": "Tue, 27 Mar 2018 02:49:05 GMT", "version": "v2" }, { "created": "Tue, 2 Oct 2018 04:39:32 GMT", "version": "v3" } ]
2018-10-03
[ [ "Toldo", "Chiara", "" ], [ "Willett", "Brian", "" ] ]
The partition function of a three-dimensional $\mathcal{N} =2$ theory on the manifold $\mathcal{M}_{g,p}$, an $S^1$ bundle of degree $p$ over a closed Riemann surface $\Sigma_g$, was recently computed via supersymmetric localization. In this paper, we compute these partition functions at large $N$ in a class of quiver gauge theories with holographic M-theory duals. We provide the supergravity bulk dual having as conformal boundary such three-dimensional circle bundles. These configurations are solutions to $\mathcal{N}=2$ minimal gauged supergravity and pertain to the class of Taub-NUT-AdS and Taub-Bolt-AdS preserving $1/4$ of the supersymmetries. We discuss the conditions for the uplift of these solutions to M-theory, and compute the on-shell action via holographic renormalization. We show that the uplift condition and on-shell action for the Bolt solutions are correctly reproduced by the large $N$ limit of the partition function of the dual superconformal field theory. In particular, the $\Sigma_g \times S^1 \cong \mathcal{M}_{g,0}$ partition function, which was recently shown to match the entropy of $AdS_4$ black holes, and the $S^3 \cong \mathcal{M}_{0,1}$ free energy, occur as special cases of our formalism, and we comment on relations between them.
5.513443
5.27883
6.049686
5.267196
5.41423
5.076396
5.268987
5.072891
5.019091
6.448578
5.178658
5.293555
5.677317
5.32746
5.414295
5.382233
5.273963
5.185884
5.174168
5.663113
5.291027
1608.00343
Karol I. Wysokinski
Marek Rogatko and Karol I. Wysokinski
Condensate flow in holographic models in the presence of dark matter
Completely rewritten version. Added new references and the discussion of experimental relevance. 36 pages. JHEP style - file included
JHEP10(2016)152
10.1007/JHEP10(2016)152
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Holographic model of a three-dimensional current carrying superconductor or superfluid with {\it dark matter} sector described by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We investigated analytically by the Sturm-Liouville variational method, the holographic s-wave and p-wave models in the background of the AdS soliton as well as five-dimensional AdS black hole spacetimes. The two models of p-wave superfluids were considered, the so called $SU(2)$ and the Maxwell-vector. Special attention has been paid to the dependence of the critical chemical potential and critical transition temperature on the velocity of the condensate and {\it dark matter} parameters. The current $J$ in holographic three-dimensional superconductor studied here, shows the linear dependence on $T_c-T$ for both s and p-wave symmetry. This is in a significant contrast with the previously obtained results for two-dimensional superconductors, which reveal the $(T-T_c)^{3/2}$ temperature dependence. The coupling constant $\alpha$, as well as, chemical potential $\mu_D$ and the velocity $S_D$ of the {\it dark matter}, affect the critical chemical potential of the p-wave holographic $SU(2)$ system. On the other hand, $\alpha$, {\it dark matter} velocity $S_D$ and density $\rho_D$ determine the actual value of the transition temperature of the same superconductor/superfluid set up. However, the {\it dark matter} does not affect the value of the current.
[ { "created": "Mon, 1 Aug 2016 07:55:34 GMT", "version": "v1" }, { "created": "Mon, 17 Oct 2016 07:32:03 GMT", "version": "v2" } ]
2016-11-08
[ [ "Rogatko", "Marek", "" ], [ "Wysokinski", "Karol I.", "" ] ]
Holographic model of a three-dimensional current carrying superconductor or superfluid with {\it dark matter} sector described by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We investigated analytically by the Sturm-Liouville variational method, the holographic s-wave and p-wave models in the background of the AdS soliton as well as five-dimensional AdS black hole spacetimes. The two models of p-wave superfluids were considered, the so called $SU(2)$ and the Maxwell-vector. Special attention has been paid to the dependence of the critical chemical potential and critical transition temperature on the velocity of the condensate and {\it dark matter} parameters. The current $J$ in holographic three-dimensional superconductor studied here, shows the linear dependence on $T_c-T$ for both s and p-wave symmetry. This is in a significant contrast with the previously obtained results for two-dimensional superconductors, which reveal the $(T-T_c)^{3/2}$ temperature dependence. The coupling constant $\alpha$, as well as, chemical potential $\mu_D$ and the velocity $S_D$ of the {\it dark matter}, affect the critical chemical potential of the p-wave holographic $SU(2)$ system. On the other hand, $\alpha$, {\it dark matter} velocity $S_D$ and density $\rho_D$ determine the actual value of the transition temperature of the same superconductor/superfluid set up. However, the {\it dark matter} does not affect the value of the current.
7.545044
7.081953
8.095487
7.312583
7.826542
8.103902
7.684894
7.311004
7.154995
8.360184
6.97093
7.147314
7.439749
7.129126
7.251251
7.28889
7.243622
7.062728
7.15436
7.592004
6.913647
hep-th/9811031
Banin A. T.
N.G. Pletnev and A.T. Banin (Institute of Mathematics, Novosibirsk)
Covariant technique of derivative expansion of one-loop effective action
LaTeX, 27 pages, corrected typos
Phys.Rev. D60 (1999) 105017
10.1103/PhysRevD.60.105017
null
hep-th hep-ph
null
A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages we present several examples of application for scalar theory, Yang-Mills theory, and scalar electrodynamics. The superspace formulation of the method is considered for K\"ahlerian and non-K\"ahlerian quantum corrections for Wess-Zumino and for Heisenberg-Euler lagrangians in super QED models.
[ { "created": "Tue, 3 Nov 1998 09:11:42 GMT", "version": "v1" }, { "created": "Thu, 24 Dec 1998 11:02:15 GMT", "version": "v2" }, { "created": "Sat, 16 Oct 1999 06:25:33 GMT", "version": "v3" } ]
2009-10-31
[ [ "Pletnev", "N. G.", "", "Institute of Mathematics, Novosibirsk" ], [ "Banin", "A. T.", "", "Institute of Mathematics, Novosibirsk" ] ]
A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages we present several examples of application for scalar theory, Yang-Mills theory, and scalar electrodynamics. The superspace formulation of the method is considered for K\"ahlerian and non-K\"ahlerian quantum corrections for Wess-Zumino and for Heisenberg-Euler lagrangians in super QED models.
12.500251
10.892663
12.213013
10.436953
11.583898
10.551613
11.193597
11.348824
11.342954
11.880601
10.660699
10.509373
10.610233
10.67519
10.947737
10.811739
10.743208
10.70421
10.182167
11.270582
10.049302
hep-th/9411028
Joe Polchinski
Joseph Polchinski
What is String Theory?
153 pages, 30 figures. Lectures presented at the 1994 Les Houches Summer School ``Fluctuating Geometries in Statistical Mechanics and Field Theory.'' (also available at http://xxx.lanl.gov/lh94/ )
null
null
NSF-ITP-94-97
hep-th
null
The first part is an introduction to conformal field theory and string perturbation theory. The second part deals with the search for a deeper answer to the question posed in the title. Contents: 1. Conformal Field Theory 2. String Theory 3. Vacua and Dualities 4. String Field Theory or Not String Field Theory 5. Matrix Models
[ { "created": "Fri, 4 Nov 1994 00:52:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Polchinski", "Joseph", "" ] ]
The first part is an introduction to conformal field theory and string perturbation theory. The second part deals with the search for a deeper answer to the question posed in the title. Contents: 1. Conformal Field Theory 2. String Theory 3. Vacua and Dualities 4. String Field Theory or Not String Field Theory 5. Matrix Models
6.658569
6.228559
6.278999
5.792055
5.490217
6.291362
5.775001
6.088398
5.482935
6.015126
5.33333
5.7133
6.166643
5.748916
5.641978
5.782243
5.728401
5.70635
5.669674
5.93306
5.714627
1008.2430
Kazem Bitaghsir Fadafan
M. Ali-Akbari and K. Bitaghsir Fadafan
Conductivity at finite 't Hooft coupling from AdS/CFT
18 pages, 8figures
null
10.1016/j.nuclphysb.2010.10.028
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use the AdS/CFT correspondence to study the DC conductivity of massive $\mathcal{N} = 2$ hypermultiplet fields in an $\mathcal{N} = 4\, SU(N_c)$ super-Yang-Mills theory plasma in the large $N_c$ and finite 't Hooft coupling. We also discuss general curvature-squared and Gauss-Bonnet corrections on the DC conductivity.
[ { "created": "Sat, 14 Aug 2010 10:51:21 GMT", "version": "v1" } ]
2015-05-19
[ [ "Ali-Akbari", "M.", "" ], [ "Fadafan", "K. Bitaghsir", "" ] ]
We use the AdS/CFT correspondence to study the DC conductivity of massive $\mathcal{N} = 2$ hypermultiplet fields in an $\mathcal{N} = 4\, SU(N_c)$ super-Yang-Mills theory plasma in the large $N_c$ and finite 't Hooft coupling. We also discuss general curvature-squared and Gauss-Bonnet corrections on the DC conductivity.
6.493154
4.757603
6.200838
5.602406
5.212144
5.607049
5.255129
5.219525
5.473974
7.921062
4.972551
5.335643
5.899354
5.639543
5.604667
5.324305
5.372139
5.433565
5.634202
6.076795
5.285979
0807.4120
Oliver Eyton-Williams
Z. Lalak, O. J. Eyton-Williams
Supersymmetry breaking in ISS coupled to gravity
15 pages, references added, explanations substantially clarified
JHEP 0903:147,2009
10.1088/1126-6708/2009/03/147
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyse the breakdown of supersymmetry in an ISS model in the presence of gravity, under the requirement that the cosmological constant vanishes dynamically. The gravitational backreaction is calculated in the metastable minimum and, in conjuction with the condition V=0, this is shown to generate non-zero F-terms for the squarks. Once the squarks are coupled to the messenger sector, a gauge mediation scheme is realised and it leads to a distinctive soft spectrum, with a two order of magnitude split between the gaugino and the soft scalar masses.
[ { "created": "Fri, 25 Jul 2008 15:34:10 GMT", "version": "v1" }, { "created": "Fri, 25 Jul 2008 21:17:52 GMT", "version": "v2" }, { "created": "Wed, 30 Jul 2008 15:09:31 GMT", "version": "v3" }, { "created": "Wed, 29 Apr 2009 10:53:58 GMT", "version": "v4" } ]
2009-04-29
[ [ "Lalak", "Z.", "" ], [ "Eyton-Williams", "O. J.", "" ] ]
We analyse the breakdown of supersymmetry in an ISS model in the presence of gravity, under the requirement that the cosmological constant vanishes dynamically. The gravitational backreaction is calculated in the metastable minimum and, in conjuction with the condition V=0, this is shown to generate non-zero F-terms for the squarks. Once the squarks are coupled to the messenger sector, a gauge mediation scheme is realised and it leads to a distinctive soft spectrum, with a two order of magnitude split between the gaugino and the soft scalar masses.
13.096737
11.767325
11.812153
10.798219
11.996668
11.433311
12.174513
11.079954
11.184361
12.057786
11.335279
10.994623
11.0757
11.270208
10.954994
10.885004
10.837075
10.801623
10.885262
11.516422
11.150766
0903.0249
Peter Horvathy
L. Feher and P. A. Horvathy
Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole
8 pages, no figures. Electronic version of a previously published paper. Neither the original text nor the list of references have been updated
Mod.Phys.Lett.A3:1451-1460,1988
10.1142/S0217732388001744
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The non-relativistic scattering of a spin-1/2 particle off a self-dual monopole reduces, for large distances, to the dyon problem, studied previously by D'Hoker and Vinet. The S matrix (calculated by Zwanziger's algebraic method based on the o(3,1)\oplus o(3) dynamical symmetry, discovered by D'Hoker and Vinet) is shown to factorize into the product of the spinless S-matrix, S_0, with a spin-dependent factor. The total cross-section is identical to the one found in the spinless case.
[ { "created": "Mon, 2 Mar 2009 10:15:55 GMT", "version": "v1" } ]
2009-03-12
[ [ "Feher", "L.", "" ], [ "Horvathy", "P. A.", "" ] ]
The non-relativistic scattering of a spin-1/2 particle off a self-dual monopole reduces, for large distances, to the dyon problem, studied previously by D'Hoker and Vinet. The S matrix (calculated by Zwanziger's algebraic method based on the o(3,1)\oplus o(3) dynamical symmetry, discovered by D'Hoker and Vinet) is shown to factorize into the product of the spinless S-matrix, S_0, with a spin-dependent factor. The total cross-section is identical to the one found in the spinless case.
7.996867
7.062635
9.94666
7.168549
7.855545
7.50887
7.163025
7.091028
7.454594
9.169859
7.308511
7.559709
7.934886
7.251972
7.509767
7.801277
7.283074
7.2862
7.249277
8.269114
7.189
hep-th/0405266
Ricardo Renan Landim
Marcio A. M. Gomes and R. R. Landim
Duality and fields redefinition in three dimensions
8 pages, suppressed contents. To appear in J. Phys. A
J.Phys. A38 (2005) 257-262
10.1088/0305-4470/38/1/019
null
hep-th
null
We analyze local fields redefinition and duality for gauge field theories in three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual models admits the same fields redefinition. Maxwell-Proca action and its dual also share this property. We show explicitly that a gauge-fixing term has no influence on duality and fields redefinition.
[ { "created": "Fri, 28 May 2004 13:44:16 GMT", "version": "v1" }, { "created": "Tue, 28 Sep 2004 19:57:27 GMT", "version": "v2" }, { "created": "Wed, 1 Dec 2004 18:31:14 GMT", "version": "v3" } ]
2009-11-10
[ [ "Gomes", "Marcio A. M.", "" ], [ "Landim", "R. R.", "" ] ]
We analyze local fields redefinition and duality for gauge field theories in three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual models admits the same fields redefinition. Maxwell-Proca action and its dual also share this property. We show explicitly that a gauge-fixing term has no influence on duality and fields redefinition.
15.362969
14.342691
15.233881
13.414937
13.749431
13.384775
12.641429
12.524504
13.560272
16.343136
12.624021
14.048263
14.958813
13.84444
13.72111
13.136764
13.7122
14.474132
14.295466
14.883203
13.669869
hep-th/0308191
Yun Soo Myung
Y. S. Myung
Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces
9 pages, version to appear in PLB
Phys.Lett. B574 (2003) 289-295
10.1016/j.physletb.2003.09.034
INJE-TP-03-08
hep-th
null
We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the TdS spaces from those of the TAdS black holes by replacing $k$ by $-k$. Also we obtain the same correction to the Cardy-Verlinde formula for TAdS and TdS cases including the cosmological horizon of the Schwarzschild-de Sitter (SdS) black hole. Finally we discuss the AdS/CFT and dS/CFT correspondences and their dynamic correspondences.
[ { "created": "Thu, 28 Aug 2003 04:56:45 GMT", "version": "v1" }, { "created": "Tue, 16 Sep 2003 03:12:42 GMT", "version": "v2" } ]
2010-04-05
[ [ "Myung", "Y. S.", "" ] ]
We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the TdS spaces from those of the TAdS black holes by replacing $k$ by $-k$. Also we obtain the same correction to the Cardy-Verlinde formula for TAdS and TdS cases including the cosmological horizon of the Schwarzschild-de Sitter (SdS) black hole. Finally we discuss the AdS/CFT and dS/CFT correspondences and their dynamic correspondences.
6.229068
5.262495
6.012813
5.404893
5.509399
5.486451
5.384142
5.148469
5.317352
6.157287
5.332539
5.346337
5.885143
5.536017
5.661846
5.503322
5.461267
5.448328
5.612625
5.948577
5.651761
1302.1989
Nana Geraldine Cabo Bizet
Nana Geraldine Cabo Bizet and Hans Peter Nilles
Heterotic Mini-landscape in blow-up
34 pages, 5 figures
null
null
CERN-PH-TH/2013-018
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Localization properties of fields in compact extra dimensions are crucial ingredients for string model building, particularly in the framework of orbifold compactifications. Realistic models often require a slight deviation from the orbifold point, that can be analyzed using field theoretic methods considering (singlet) fields with nontrivial vacuum expectation values. Some of these fields correspond to blow-up modes that represent the resolution of orbifold singularities. Improving on previous analyses we give here an explicit example of the blow-up of a model from the heterotic Mini-landscape. An exact identification of the blow-up modes at various fixed points and fixed tori with orbifold twisted fields is given. We match the massless spectra and identify the blow-up modes as non-universal axions of compactified string theory. We stress the important role of the Green-Schwarz anomaly polynomial for the description of the resolution of orbifold singularities.
[ { "created": "Fri, 8 Feb 2013 10:50:04 GMT", "version": "v1" } ]
2013-02-11
[ [ "Bizet", "Nana Geraldine Cabo", "" ], [ "Nilles", "Hans Peter", "" ] ]
Localization properties of fields in compact extra dimensions are crucial ingredients for string model building, particularly in the framework of orbifold compactifications. Realistic models often require a slight deviation from the orbifold point, that can be analyzed using field theoretic methods considering (singlet) fields with nontrivial vacuum expectation values. Some of these fields correspond to blow-up modes that represent the resolution of orbifold singularities. Improving on previous analyses we give here an explicit example of the blow-up of a model from the heterotic Mini-landscape. An exact identification of the blow-up modes at various fixed points and fixed tori with orbifold twisted fields is given. We match the massless spectra and identify the blow-up modes as non-universal axions of compactified string theory. We stress the important role of the Green-Schwarz anomaly polynomial for the description of the resolution of orbifold singularities.
12.364282
11.487823
13.33313
11.414457
12.339131
12.212162
11.543015
11.1565
11.15362
13.872663
11.448509
11.36843
12.355605
11.704335
11.883862
11.433872
11.324692
11.224016
12.051038
12.889727
11.468699
1412.7033
Takahisa Igata
Takahisa Igata, Hideki Ishihara, Hirotaka Yoshino
Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
12 pages, 2 figures
Phys. Rev. D 91, 084042 (2015)
10.1103/PhysRevD.91.084042
OCU-PHYS-415, AP-GR-117, KEK-TH-1783, KEK-Cosmo-159
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The geodesic equation in the five-dimensional singly rotating black ring is non-integrable unlike the case of the Myers-Perry black hole. In the Newtonian limit of the black ring, its geodesic equation agrees with the equation of motion of a particle in the Newtonian potential due to a homogeneous ring gravitational source. In this paper, we show that the Newtonian equation of motion allows the separation of variables in the spheroidal coordinates, providing an non-trivial constant of motion quadratic in momenta. This shows that the Newtonian limit of a black ring recovers the symmetry of its geodesic system, and the geodesic chaos is caused by relativistic effects.
[ { "created": "Mon, 22 Dec 2014 16:02:49 GMT", "version": "v1" } ]
2015-04-29
[ [ "Igata", "Takahisa", "" ], [ "Ishihara", "Hideki", "" ], [ "Yoshino", "Hirotaka", "" ] ]
The geodesic equation in the five-dimensional singly rotating black ring is non-integrable unlike the case of the Myers-Perry black hole. In the Newtonian limit of the black ring, its geodesic equation agrees with the equation of motion of a particle in the Newtonian potential due to a homogeneous ring gravitational source. In this paper, we show that the Newtonian equation of motion allows the separation of variables in the spheroidal coordinates, providing an non-trivial constant of motion quadratic in momenta. This shows that the Newtonian limit of a black ring recovers the symmetry of its geodesic system, and the geodesic chaos is caused by relativistic effects.
7.636737
7.671117
6.873808
6.990463
7.526153
7.211653
7.803828
7.032592
7.147521
7.121509
7.544366
7.319975
7.414438
7.307504
7.612436
7.396932
7.636653
6.988896
7.628395
7.134211
7.487154
0704.2853
In Yong Park
I. Y. Park
Toward getting finite results from N=4 SYM with alpha'-corrections
13 pages, 3 figures, appendices shortened, typos corrected, refs added
null
null
null
hep-th
null
We take our first step toward getting finite results from the alpha'-corrected D=4 N=4 SYM theory with emphasis on the field theory techniques. Starting with the classical action of N=4 SYM with the leading alpha'-corrections, we examine new divergence at one loop due to the presence of the alpha'-terms. The new vertices do not introduce additional divergence to the propagators or to the three-point correlators. However they do introduce new divergence, e.g., to the scalar four-point function which should be canceled by extra counter-terms. We expect that the counter-terms will appear in the 1PI effective action that is obtained by considering the string annulus diagram. We work out the structure of the divergence and comment on an application to the anomalous dimension of the SYM operators in the context of AdS/CFT.
[ { "created": "Sat, 21 Apr 2007 22:54:41 GMT", "version": "v1" }, { "created": "Sun, 29 Apr 2007 13:46:21 GMT", "version": "v2" } ]
2007-05-23
[ [ "Park", "I. Y.", "" ] ]
We take our first step toward getting finite results from the alpha'-corrected D=4 N=4 SYM theory with emphasis on the field theory techniques. Starting with the classical action of N=4 SYM with the leading alpha'-corrections, we examine new divergence at one loop due to the presence of the alpha'-terms. The new vertices do not introduce additional divergence to the propagators or to the three-point correlators. However they do introduce new divergence, e.g., to the scalar four-point function which should be canceled by extra counter-terms. We expect that the counter-terms will appear in the 1PI effective action that is obtained by considering the string annulus diagram. We work out the structure of the divergence and comment on an application to the anomalous dimension of the SYM operators in the context of AdS/CFT.
11.288467
10.618201
11.047854
10.144066
10.242837
10.844597
11.3337
10.010193
10.000634
10.958632
10.331589
9.985944
10.078915
9.644152
10.298376
10.197125
9.906513
9.784536
10.071554
10.284598
9.944102
hep-th/0404250
Katsushi Ito
Takeo Araki and Katsushi Ito
Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
11 pages, LaTeX, v2: references and note added, shorter version
Phys.Lett. B595 (2004) 513-520
10.1016/j.physletb.2004.06.059
null
hep-th
null
We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the singlet deformation, which preserves chirality. We construct a Lagrangian which is invariant under both the deformed gauge and supersymmetry transformations. We find the field redefinition such that the N=2 vector multilplet transforms canonically under the deformed symmetries.
[ { "created": "Fri, 30 Apr 2004 09:59:39 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 2004 10:57:20 GMT", "version": "v2" } ]
2010-04-05
[ [ "Araki", "Takeo", "" ], [ "Ito", "Katsushi", "" ] ]
We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the singlet deformation, which preserves chirality. We construct a Lagrangian which is invariant under both the deformed gauge and supersymmetry transformations. We find the field redefinition such that the N=2 vector multilplet transforms canonically under the deformed symmetries.
8.695839
5.545055
8.571562
5.911654
5.401349
5.365943
5.732686
5.682169
5.673834
9.268426
6.073369
7.271891
7.9848
7.612189
7.717917
7.409605
7.321841
7.429852
7.398874
8.645074
7.326551
2309.16474
Spyros Sypsas
Gonzalo A. Palma and Spyros Sypsas
Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
53 pp. plus references
null
null
null
hep-th astro-ph.CO
http://creativecommons.org/licenses/by/4.0/
Scalar fields interacting with the primordial curvature perturbation during inflation may communicate their statistics to the latter. This situation motivates the study of how the probability density function (PDF) of a light spectator field $\varphi$ in a pure de Sitter space-time, becomes non-Gaussian under the influence of a scalar potential ${\mathcal V(\varphi)}$. One approach to this problem is offered by the stochastic formalism introduced by Starobinsky and Yokoyama. It results in a Fokker-Planck equation for the time-dependent PDF $\rho (\varphi , t)$ describing the statistics of $\varphi$ which, in the limit of equilibrium gives one back the solution $\rho (\varphi) \propto \exp \big[ - \frac{8 \pi^2}{3 H^4} {\mathcal V(\varphi)} \big]$. We study the derivation of $\rho (\varphi , t)$ using quantum field theory tools. Our approach yields an almost Gaussian distribution function, distorted by minor corrections comprised of terms proportional to powers of $\Delta N \times \mathcal O(\partial_\varphi) {\mathcal V(\varphi)}$, where $\Delta N$ is the number of $e$-folds succeeding the Hubble-horizon crossing of $\varphi$'s wavelengths, and $\mathcal O(\partial_\varphi)$ stands for a derivative operator acting on ${\mathcal V(\varphi)}$. This general form is obtained perturbatively and remains valid even with loop corrections. Our solution satisfies a Fokker-Planck equation that receives corrections with respect to the one found within the stochastic approach, allowing us to comment on the validity of the standard equilibrium solution for generic potentials. We posit that higher order corrections to the Fokker-Planck equation may become important towards the equilibrium.
[ { "created": "Thu, 28 Sep 2023 14:38:13 GMT", "version": "v1" } ]
2023-09-29
[ [ "Palma", "Gonzalo A.", "" ], [ "Sypsas", "Spyros", "" ] ]
Scalar fields interacting with the primordial curvature perturbation during inflation may communicate their statistics to the latter. This situation motivates the study of how the probability density function (PDF) of a light spectator field $\varphi$ in a pure de Sitter space-time, becomes non-Gaussian under the influence of a scalar potential ${\mathcal V(\varphi)}$. One approach to this problem is offered by the stochastic formalism introduced by Starobinsky and Yokoyama. It results in a Fokker-Planck equation for the time-dependent PDF $\rho (\varphi , t)$ describing the statistics of $\varphi$ which, in the limit of equilibrium gives one back the solution $\rho (\varphi) \propto \exp \big[ - \frac{8 \pi^2}{3 H^4} {\mathcal V(\varphi)} \big]$. We study the derivation of $\rho (\varphi , t)$ using quantum field theory tools. Our approach yields an almost Gaussian distribution function, distorted by minor corrections comprised of terms proportional to powers of $\Delta N \times \mathcal O(\partial_\varphi) {\mathcal V(\varphi)}$, where $\Delta N$ is the number of $e$-folds succeeding the Hubble-horizon crossing of $\varphi$'s wavelengths, and $\mathcal O(\partial_\varphi)$ stands for a derivative operator acting on ${\mathcal V(\varphi)}$. This general form is obtained perturbatively and remains valid even with loop corrections. Our solution satisfies a Fokker-Planck equation that receives corrections with respect to the one found within the stochastic approach, allowing us to comment on the validity of the standard equilibrium solution for generic potentials. We posit that higher order corrections to the Fokker-Planck equation may become important towards the equilibrium.
6.593545
7.391562
6.949921
6.538374
7.231833
6.922132
7.002262
6.658926
6.723919
7.028574
6.47789
6.71235
6.61373
6.465551
6.619337
6.870849
6.762174
6.519408
6.391867
6.634677
6.558127
hep-th/0508191
Bin Chen
Bin Chen
The Time-dependent Supersymmetric Configurations in M-theory and Matrix Models
13 pages, Latex; minor changes, published version; A footnote added, typoes in Matrix action corrected
Phys.Lett. B632 (2006) 393-398
10.1016/j.physletb.2005.10.021
null
hep-th
null
In this paper, we study the half-supersymmetric time-dependent configurations in M-theory and their matrix models. We find a large class of 11D supergravity solutions, which keeps sixteen supersymmetries. Furthermore, we investigate the isometries of these configurations and show that in general these configurations have no supernumerary supersymmetries. And also we define the Matrix models in these backgrounds following Discrete Light-Cone Quantization (DLCQ) prescription.
[ { "created": "Thu, 25 Aug 2005 10:40:34 GMT", "version": "v1" }, { "created": "Tue, 20 Dec 2005 02:04:04 GMT", "version": "v2" }, { "created": "Sun, 25 Jun 2006 07:36:54 GMT", "version": "v3" } ]
2009-11-11
[ [ "Chen", "Bin", "" ] ]
In this paper, we study the half-supersymmetric time-dependent configurations in M-theory and their matrix models. We find a large class of 11D supergravity solutions, which keeps sixteen supersymmetries. Furthermore, we investigate the isometries of these configurations and show that in general these configurations have no supernumerary supersymmetries. And also we define the Matrix models in these backgrounds following Discrete Light-Cone Quantization (DLCQ) prescription.
10.82816
8.382689
11.316067
9.103194
9.759484
9.398663
8.927969
8.828964
8.518008
13.173488
8.928586
9.110684
10.204823
9.448843
8.602894
9.105788
9.145338
9.250901
9.200447
10.250804
9.765098
1808.01978
David Benisty
David Benisty, Eduardo I. Guendelman, Jurgen Struckmeier
Gauge theory of Gravity based on the correspondence between the $1^{st}$ and the $2^{nd}$ order formalisms
5 pages, 1 figure, language improved and typos corrected
LT 2019. Springer Proceedings in Mathematics & Statistics, vol 335
10.1007/978-981-15-7775-8_21
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a shortened version of an invited talk at the XIII International Workshop "Lie Theory and its Applications in Physics", June 17-23, Varna, Bulgaria. A covariant canonical gauge theory of gravity free from torsion is studied. Using a metric conjugate momentum and a connection conjugate momentum, which takes the form of the Riemann tensor, a gauge theory of gravity is formulated, with form-invariant Hamiltonian. By the metric conjugate momenta, a correspondence between the Affine-Palatini formalism and the metric formalism is established. For, when the dynamical gravitational Hamiltonian $\tilde{H}_{Dyn}$ does not depend on the metric conjugate momenta, a metric compatibility is obtained from the equation of motions, and the equations of motion correspond to the solution is the metric formalism.
[ { "created": "Mon, 6 Aug 2018 16:13:58 GMT", "version": "v1" }, { "created": "Wed, 22 Aug 2018 13:29:39 GMT", "version": "v2" }, { "created": "Thu, 23 Aug 2018 03:46:05 GMT", "version": "v3" }, { "created": "Mon, 11 Mar 2019 12:19:28 GMT", "version": "v4" }, { "created": "Sun, 22 Sep 2019 21:01:26 GMT", "version": "v5" } ]
2020-11-12
[ [ "Benisty", "David", "" ], [ "Guendelman", "Eduardo I.", "" ], [ "Struckmeier", "Jurgen", "" ] ]
This is a shortened version of an invited talk at the XIII International Workshop "Lie Theory and its Applications in Physics", June 17-23, Varna, Bulgaria. A covariant canonical gauge theory of gravity free from torsion is studied. Using a metric conjugate momentum and a connection conjugate momentum, which takes the form of the Riemann tensor, a gauge theory of gravity is formulated, with form-invariant Hamiltonian. By the metric conjugate momenta, a correspondence between the Affine-Palatini formalism and the metric formalism is established. For, when the dynamical gravitational Hamiltonian $\tilde{H}_{Dyn}$ does not depend on the metric conjugate momenta, a metric compatibility is obtained from the equation of motions, and the equations of motion correspond to the solution is the metric formalism.
10.336061
11.441339
11.144457
9.280477
11.35961
11.600557
11.591155
9.695259
10.345674
12.451809
10.238757
9.795035
9.40003
9.520986
9.489673
9.764374
10.156254
9.715394
9.823666
9.755692
10.051363
hep-th/9704072
null
Alexander A.Vlasov
Absence of Radiation Reaction for an Extended Particle in Classical Electrodynamics
5 pages, LATEX
null
null
null
hep-th
null
There are known problems with the standard Lorentz-Dirac description of radiation reaction in classical electrodynamics. The model of extended in one dimension particle is proposed and is shown that for this model there is no total change in particle momentum due to radiation reaction
[ { "created": "Wed, 9 Apr 1997 05:45:50 GMT", "version": "v1" }, { "created": "Sun, 13 Apr 1997 23:32:15 GMT", "version": "v2" } ]
2008-02-03
[ [ "Vlasov", "Alexander A.", "" ] ]
There are known problems with the standard Lorentz-Dirac description of radiation reaction in classical electrodynamics. The model of extended in one dimension particle is proposed and is shown that for this model there is no total change in particle momentum due to radiation reaction
16.511147
12.714784
13.621615
10.965389
12.936363
11.605673
11.314702
12.008947
12.189116
13.915196
11.741368
12.767902
12.59631
12.526565
13.120941
12.445187
12.726005
12.733669
13.409904
12.82527
12.231534
1709.02388
Minkyu Park
Jose J. Fernandez-Melgarejo, Minkyu Park and Masaki Shigemori
Non-Abelian Supertubes
47 pages + 12 pages, 5 figures; v2: references added, minor corrections; v3: minor modifications, JHEP published version
JHEP 1712 (2017) 103
10.1007/JHEP12(2017)103
QMUL-PH-17-11, YITP-17-87
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A supertube is a supersymmetric configuration in string theory which occurs when a pair of branes spontaneously polarizes and generates a new dipole charge extended along a closed curve. The dipole charge of a codimension-2 supertube is characterized by the U-duality monodromy as one goes around the supertube. For multiple codimension-2 supertubes, their monodromies do not commute in general. In this paper, we construct a supersymmetric solution of five-dimensional supergravity that describes two supertubes with such non-Abelian monodromies, in a certain perturbative expansion. In supergravity, the monodromies are realized as the multi-valuedness of the scalar fields, while in higher dimensions they correspond to non-geometric duality twists of the internal space. The supertubes in our solution carry NS5 and 5$_2^2$ dipole charges and exhibit the same monodromy structure as the SU(2) Seiberg-Witten geometry. The perturbative solution has $\mathrm{AdS}_2\times S^2$ asymptotics and vanishing four-dimensional angular momentum. We argue that this solution represents a microstate of four-dimensional black holes with a finite horizon and that it provides a clue for the gravity realization of a pure-Higgs branch state in the dual quiver quantum mechanics.
[ { "created": "Thu, 7 Sep 2017 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 25 Sep 2017 13:35:10 GMT", "version": "v2" }, { "created": "Tue, 26 Dec 2017 14:45:35 GMT", "version": "v3" } ]
2017-12-27
[ [ "Fernandez-Melgarejo", "Jose J.", "" ], [ "Park", "Minkyu", "" ], [ "Shigemori", "Masaki", "" ] ]
A supertube is a supersymmetric configuration in string theory which occurs when a pair of branes spontaneously polarizes and generates a new dipole charge extended along a closed curve. The dipole charge of a codimension-2 supertube is characterized by the U-duality monodromy as one goes around the supertube. For multiple codimension-2 supertubes, their monodromies do not commute in general. In this paper, we construct a supersymmetric solution of five-dimensional supergravity that describes two supertubes with such non-Abelian monodromies, in a certain perturbative expansion. In supergravity, the monodromies are realized as the multi-valuedness of the scalar fields, while in higher dimensions they correspond to non-geometric duality twists of the internal space. The supertubes in our solution carry NS5 and 5$_2^2$ dipole charges and exhibit the same monodromy structure as the SU(2) Seiberg-Witten geometry. The perturbative solution has $\mathrm{AdS}_2\times S^2$ asymptotics and vanishing four-dimensional angular momentum. We argue that this solution represents a microstate of four-dimensional black holes with a finite horizon and that it provides a clue for the gravity realization of a pure-Higgs branch state in the dual quiver quantum mechanics.
7.627431
7.439785
9.056585
7.33082
7.59386
7.799434
7.962802
7.383401
6.999148
9.010262
7.36072
7.133979
7.536151
7.03447
7.270455
7.445017
7.101875
7.143874
6.953687
7.750033
7.179759
hep-th/0207227
Bahtiyar Ozgur Sarioglu
Ozgur Sarioglu
Lienard-Wiechert Potentials of a Non-Abelian Yang Mills Charge
RevTeX4, 11 pages, no figures
Phys.Rev. D66 (2002) 085005
10.1103/PhysRevD.66.085005
null
hep-th math-ph math.MP
null
Given the path of a point particle, one can relate its acceleration and, in general, its kinematics to the curvature scalars of its trajectory. Using this, a general Ansatz is made for the Yang Mills connection corresponding to a non-Abelian point source. The Yang Mills field equations are then solved outside the position of the point source under physically reasonable constraints such as finite total energy flux and finite total color charge. The solutions contain the Trautman solution; moreover two of them are exact whereas one of them is found using a series expansion in 1/R, where R is the retarded distance. These solutions are new and, in their most general form, are not gauge equivalent to the original Trautman solution.
[ { "created": "Thu, 25 Jul 2002 07:46:52 GMT", "version": "v1" } ]
2009-11-07
[ [ "Sarioglu", "Ozgur", "" ] ]
Given the path of a point particle, one can relate its acceleration and, in general, its kinematics to the curvature scalars of its trajectory. Using this, a general Ansatz is made for the Yang Mills connection corresponding to a non-Abelian point source. The Yang Mills field equations are then solved outside the position of the point source under physically reasonable constraints such as finite total energy flux and finite total color charge. The solutions contain the Trautman solution; moreover two of them are exact whereas one of them is found using a series expansion in 1/R, where R is the retarded distance. These solutions are new and, in their most general form, are not gauge equivalent to the original Trautman solution.
12.793501
14.885164
14.05823
13.434849
15.065948
13.313175
14.254985
13.556717
13.550761
14.40714
13.434916
13.349409
12.445908
12.650139
13.378175
13.018829
12.998316
12.997482
12.37026
13.344934
12.851194
2206.14825
Anatoly Dymarsky
Nikolaos Angelinos, Debarghya Chakraborty, Anatoly Dymarsky
Optimal Narain CFTs from Codes
null
null
10.1007/JHEP11(2022)118
null
hep-th
http://creativecommons.org/licenses/by/4.0/
Recently established connection between additive codes and Narain CFTs provides a new tool to construct theories with special properties and solve modular bootstrap constraints by reducing them to algebraic identities. We generalize previous constructions to include many new theories, in particular we show that all known optimal Narain theories, i.e. those maximizing the value of spectral gap, can be constructed from codes. For asymptotically large central charge $c$ we show there are code theories with the spectral gap growing linearly with $c$, with the coefficient saturating the conjectural upper bound. We therefore conjecture that optimal Narain theories for any value of $c$ can be obtained from codes.
[ { "created": "Wed, 29 Jun 2022 18:00:02 GMT", "version": "v1" } ]
2022-11-30
[ [ "Angelinos", "Nikolaos", "" ], [ "Chakraborty", "Debarghya", "" ], [ "Dymarsky", "Anatoly", "" ] ]
Recently established connection between additive codes and Narain CFTs provides a new tool to construct theories with special properties and solve modular bootstrap constraints by reducing them to algebraic identities. We generalize previous constructions to include many new theories, in particular we show that all known optimal Narain theories, i.e. those maximizing the value of spectral gap, can be constructed from codes. For asymptotically large central charge $c$ we show there are code theories with the spectral gap growing linearly with $c$, with the coefficient saturating the conjectural upper bound. We therefore conjecture that optimal Narain theories for any value of $c$ can be obtained from codes.
11.170403
8.97704
12.961891
8.737181
8.958488
9.446559
8.989023
9.2693
9.190516
13.94089
9.100238
9.937703
11.017342
9.670528
9.899241
9.970713
9.764306
9.661269
10.067681
11.670403
10.020855
1310.0122
Shijong Ryang
Shijong Ryang
BPS Wilson Loop T-dual to Spinning String in AdS5xS5
14 pages, LaTex, no figures
null
10.1016/j.physletb.2013.11.049
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use the string sigma model action in AdS_5 \times S^5 to reconstruct the open string solution ending on the Wilson loop in S^3\times R parametrized by a geometric angle in S^3 and an angle in flavor space. Under the interchange of the world sheet space and time coordinates and the T-duality transformation with the radial inversion, the static open string configuration associated with the BPS Wilson loop with two equal angle parameters becomes a long open spinning string configuration which is produced by taking the equal limit of two frequencies for the folded spinning closed string with two spins in AdS_5 \times S^5.
[ { "created": "Tue, 1 Oct 2013 02:19:07 GMT", "version": "v1" } ]
2015-06-17
[ [ "Ryang", "Shijong", "" ] ]
We use the string sigma model action in AdS_5 \times S^5 to reconstruct the open string solution ending on the Wilson loop in S^3\times R parametrized by a geometric angle in S^3 and an angle in flavor space. Under the interchange of the world sheet space and time coordinates and the T-duality transformation with the radial inversion, the static open string configuration associated with the BPS Wilson loop with two equal angle parameters becomes a long open spinning string configuration which is produced by taking the equal limit of two frequencies for the folded spinning closed string with two spins in AdS_5 \times S^5.
14.038383
13.426883
15.876641
11.975032
13.148928
12.550591
13.899745
12.973369
11.317456
16.933695
12.8435
12.729136
14.086215
12.84222
12.77155
12.855209
13.02669
13.335051
12.954539
13.810754
12.452868
hep-th/9512211
Yuri Makeenko
Y. Makeenko (ITEP & NBI)
Strings, Matrix Models, and Meanders
12 pages, 4 Latex figures, uses espcrc2.sty Talk at the 29th Ahrenshoop Symp., Buckow, Germany, Aug.29 - Sep.2, 1995
Nucl.Phys.Proc.Suppl. 49 (1996) 226-237
10.1016/0920-5632(96)00339-8
ITEP-TH-16/95
hep-th
null
I briefly review the present status of bosonic strings and discretized random surfaces in D>1 which seem to be in a polymer rather than stringy phase. As an explicit example of what happens, I consider the Kazakov-Migdal model with a logarithmic potential which is exactly solvable for any D (at large D for an arbitrary potential). I discuss also the meander problem and report some new results on its representation via matrix models and the relation to the Kazakov-Migdal model. A supersymmetric matrix model is especially useful for describing the principal meanders.
[ { "created": "Thu, 28 Dec 1995 17:52:21 GMT", "version": "v1" } ]
2009-10-28
[ [ "Makeenko", "Y.", "", "ITEP & NBI" ] ]
I briefly review the present status of bosonic strings and discretized random surfaces in D>1 which seem to be in a polymer rather than stringy phase. As an explicit example of what happens, I consider the Kazakov-Migdal model with a logarithmic potential which is exactly solvable for any D (at large D for an arbitrary potential). I discuss also the meander problem and report some new results on its representation via matrix models and the relation to the Kazakov-Migdal model. A supersymmetric matrix model is especially useful for describing the principal meanders.
16.737011
14.137123
18.598576
13.955283
15.560422
15.774903
15.2796
14.90658
14.45654
20.067717
13.713936
15.364992
15.675748
14.888491
14.688987
14.89055
14.843482
14.589251
14.618516
15.689007
15.068877
hep-th/9802041
Andre Lukas
Andre Lukas, Burt A. Ovrut and Daniel Waldram
The Cosmology of M-Theory and Type II Superstrings
28 pages, Latex, 3 eps figures, Based on talks given at the Europhysics Conference on High Energy Physics, Jerusalem, Israel, August 1997 and at the XXXIIIrd Rencontres de Moriond, Fundamental Parameters in Cosmology, Les Arcs, Savoie, France, January 1998
null
null
UPR-792T
hep-th
null
We review cosmological solutions of type II superstrings and M-theory, emphasizing the role of non-vanishing Ramond form backgrounds. Compactifications on flat and, more generally, maximally symmetric spatial subspaces are presented. We give a physical discussion of both inflating and subluminally expanding cosmological solutions of such theories and explore their singularity structure. An explicit example, in the context of the type IIA superstring, is constructed. We then analyze compactifications of M-theory on Ricci flat manifolds. The external part of U--duality and its relation to cosmological solutions is studied in the low energy theory. In particular, we investigate the behaviour of important cosmological properties, such as the Hubble parameters and the transition time between two asymptotic regions, under U-duality transformations. Motivated by Horava-Witten theory, we present an explicit example of manifestly U-duality covariant M--theory cosmology in a five-dimensional model resulting from compactification on a Calabi-Yau three-fold.
[ { "created": "Fri, 6 Feb 1998 23:25:39 GMT", "version": "v1" } ]
2007-05-23
[ [ "Lukas", "Andre", "" ], [ "Ovrut", "Burt A.", "" ], [ "Waldram", "Daniel", "" ] ]
We review cosmological solutions of type II superstrings and M-theory, emphasizing the role of non-vanishing Ramond form backgrounds. Compactifications on flat and, more generally, maximally symmetric spatial subspaces are presented. We give a physical discussion of both inflating and subluminally expanding cosmological solutions of such theories and explore their singularity structure. An explicit example, in the context of the type IIA superstring, is constructed. We then analyze compactifications of M-theory on Ricci flat manifolds. The external part of U--duality and its relation to cosmological solutions is studied in the low energy theory. In particular, we investigate the behaviour of important cosmological properties, such as the Hubble parameters and the transition time between two asymptotic regions, under U-duality transformations. Motivated by Horava-Witten theory, we present an explicit example of manifestly U-duality covariant M--theory cosmology in a five-dimensional model resulting from compactification on a Calabi-Yau three-fold.
9.737793
10.026258
10.989678
9.043693
9.704336
9.655355
10.286533
9.517068
9.576591
11.217933
9.830607
9.403172
9.755466
9.403325
9.405615
9.650341
9.296029
9.523826
9.323679
9.758848
9.238633
hep-th/0103140
Rudra Prakash Malik
R. P. Malik (Bose National Centre, Calcutta, India)
Quantum groups, q-dynamics and Rajaji
LaTeX, 7 pp
Proc. of Rajaji Symposium, Festchrift for the 65th birthday of G. Rajasekaran, IMSc-report No. 119, Eds. D. Indumathi, M.V.N. Murthy and R. Parthasarathy, Chapter 12 (2001) pp. 73--79
null
null
hep-th
null
We sketch briefly the essentials of the quantum groups and their application to the dynamics of a q-deformed simple harmonic oscillator moving on a quantum line, defined in the q-deformed cotangent (momentum phase) space. In this endeavour, the quantum group $GL_{qp} (2)$- and the conventional rotational invariances are respected together. During the course of this discussion, we touch upon Rajaji's personality as a critical physicist and a bold and adventurous man of mathematical physics.
[ { "created": "Sun, 18 Mar 2001 08:33:55 GMT", "version": "v1" }, { "created": "Tue, 29 Jan 2002 15:51:24 GMT", "version": "v2" } ]
2007-05-23
[ [ "Malik", "R. P.", "", "Bose National Centre, Calcutta, India" ] ]
We sketch briefly the essentials of the quantum groups and their application to the dynamics of a q-deformed simple harmonic oscillator moving on a quantum line, defined in the q-deformed cotangent (momentum phase) space. In this endeavour, the quantum group $GL_{qp} (2)$- and the conventional rotational invariances are respected together. During the course of this discussion, we touch upon Rajaji's personality as a critical physicist and a bold and adventurous man of mathematical physics.
32.368397
33.352654
34.894093
29.180372
30.562145
30.679193
30.055384
28.60619
25.637184
38.837799
28.957527
29.691252
33.266548
30.512543
29.809586
29.890055
29.60647
30.0082
29.877357
32.409496
29.581568
2310.06317
Shuta Ishigaki
Xian-Hui Ge, Shuta Ishigaki, Sang-Jin Sin, Taewon Yuk
First order phase transition in the D3-D7 model from the point of view of the fermionic spectral functions
v1: 21 pages, 6 figures, v2: 19 pages, 6 figures, match published version
Phys. Rev. D 110, 026003 (2024)
10.1103/PhysRevD.110.026003
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the D3-D7 model and use the spectral function of a probe fermion on D7 to analyze the first order phase transition from the black-hole embedding phase to another black-hole embedding phase in the presence of the finite density and temperature. From the fermionic spectral functions, we study the temperature dependence of the decay rate, and we observe various phenomena that support the first order phase transition including jump in it at the critical temperature that corresponds to the first order phase transition.
[ { "created": "Tue, 10 Oct 2023 05:24:58 GMT", "version": "v1" }, { "created": "Wed, 7 Aug 2024 07:23:14 GMT", "version": "v2" } ]
2024-08-08
[ [ "Ge", "Xian-Hui", "" ], [ "Ishigaki", "Shuta", "" ], [ "Sin", "Sang-Jin", "" ], [ "Yuk", "Taewon", "" ] ]
We consider the D3-D7 model and use the spectral function of a probe fermion on D7 to analyze the first order phase transition from the black-hole embedding phase to another black-hole embedding phase in the presence of the finite density and temperature. From the fermionic spectral functions, we study the temperature dependence of the decay rate, and we observe various phenomena that support the first order phase transition including jump in it at the critical temperature that corresponds to the first order phase transition.
11.937507
11.697796
12.051586
11.088598
11.517049
10.944539
12.15023
11.702678
11.236198
12.468424
10.868025
10.917212
11.189644
10.719808
10.936239
10.940829
10.976166
11.225924
11.13066
11.281376
11.252287
1601.04564
Partouche Herve
Herve Partouche
Large volume supersymmetry breaking without decompactification problem
10 pages. Based on a talk given at "Lie theory and its applications in physics (LT-11), Varna, Bulgaria, 15 - 21 June 2015
null
null
CPHT-PC002.012016
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider heterotic string backgrounds in four-dimensional Minkowski space, where N=1 supersymmetry is spontaneously broken at a low scale m_{3/2} by a stringy Scherk-Schwarz mechanism. We review how the effective gauge couplings at 1-loop may evade the "decompactification problem", namely the proportionality of the gauge threshold corrections, with the large volume of the compact space involved in the supersymmetry breaking.
[ { "created": "Mon, 18 Jan 2016 15:16:36 GMT", "version": "v1" } ]
2016-10-14
[ [ "Partouche", "Herve", "" ] ]
We consider heterotic string backgrounds in four-dimensional Minkowski space, where N=1 supersymmetry is spontaneously broken at a low scale m_{3/2} by a stringy Scherk-Schwarz mechanism. We review how the effective gauge couplings at 1-loop may evade the "decompactification problem", namely the proportionality of the gauge threshold corrections, with the large volume of the compact space involved in the supersymmetry breaking.
9.58135
8.434717
9.72905
7.514482
7.652654
7.384717
7.209019
7.112958
7.871108
9.887949
7.550625
8.699248
9.209839
8.663545
8.58801
9.005652
8.56915
8.741729
8.900182
9.14852
8.463555
1503.08580
Jakub Gizbert-Studnicki
Jan Ambj{\o}rn, Daniel N. Coumbe, Jakub Gizbert-Studnicki, Jerzy Jurkiewicz
Signature Change of the Metric in CDT Quantum Gravity?
16 pages, 9 figures
JHEP 1508 (2015) 033
10.1007/JHEP08(2015)033
null
hep-th gr-qc hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the effective transfer matrix within the semiclassical and bifurcation phases of CDT quantum gravity. We find that for sufficiently large lattice volumes the kinetic term of the effective transfer matrix has a different sign in each of the two phases. We argue that this sign change can be viewed as a Wick rotation of the metric. We discuss the likely microscopic mechanism responsible for the bifurcation phase transition, and propose an order parameter that can potentially be used to determine the precise location and order of the transition. Using the effective transfer matrix we approximately locate the position of the bifurcation transition in some region of coupling constant space, allowing us to present an updated version of the CDT phase diagram.
[ { "created": "Mon, 30 Mar 2015 08:02:10 GMT", "version": "v1" }, { "created": "Wed, 1 Apr 2015 08:49:45 GMT", "version": "v2" }, { "created": "Mon, 22 Jun 2015 13:09:21 GMT", "version": "v3" } ]
2016-02-10
[ [ "Ambjørn", "Jan", "" ], [ "Coumbe", "Daniel N.", "" ], [ "Gizbert-Studnicki", "Jakub", "" ], [ "Jurkiewicz", "Jerzy", "" ] ]
We study the effective transfer matrix within the semiclassical and bifurcation phases of CDT quantum gravity. We find that for sufficiently large lattice volumes the kinetic term of the effective transfer matrix has a different sign in each of the two phases. We argue that this sign change can be viewed as a Wick rotation of the metric. We discuss the likely microscopic mechanism responsible for the bifurcation phase transition, and propose an order parameter that can potentially be used to determine the precise location and order of the transition. Using the effective transfer matrix we approximately locate the position of the bifurcation transition in some region of coupling constant space, allowing us to present an updated version of the CDT phase diagram.
10.105303
10.463859
10.088535
9.684629
9.992223
10.217725
11.282842
9.577229
9.802067
11.791547
9.487485
9.735565
9.819113
9.539506
9.590088
9.570492
9.445815
9.612379
9.493807
9.610834
9.627905
hep-th/0312122
Isao Kishimoto
Isao Kishimoto, Yutaka Matsuo, Eitoku Watanabe
A universal nonlinear relation among boundary states in closed string field theory
35 pages, 7 figures, references added, v3:PTPTeX, typos corrected
Prog.Theor.Phys. 111 (2004) 433-462
10.1143/PTP.111.433
UT-03-39
hep-th
null
We show that the boundary states satisfy a nonlinear relation (the idempotency equation) with respect to the star product of closed string field theory. This relation is universal in the sense that various D-branes, including the infinitesimally deformed ones, satisfy the same equation, including the coefficient. This paper generalizes our analysis (hep-th/0306189) in the following senses. (1) We present a background-independent formulation based on conformal field theory. It illuminates the geometric nature of the relation and allows us to more systematically analyze the variations around the D-brane background. (2) We show that the Witten-type star product satisfies a similar relation but with a more divergent coefficient. (3) We determine the coefficient of the relation analytically. The result shows that the alpha parameter can be formally factored out, and the relation becomes universal. We present a conjecture on vacuum theory based on this computation.
[ { "created": "Thu, 11 Dec 2003 18:29:35 GMT", "version": "v1" }, { "created": "Sat, 20 Dec 2003 04:44:13 GMT", "version": "v2" }, { "created": "Thu, 11 Mar 2004 08:33:34 GMT", "version": "v3" } ]
2009-11-10
[ [ "Kishimoto", "Isao", "" ], [ "Matsuo", "Yutaka", "" ], [ "Watanabe", "Eitoku", "" ] ]
We show that the boundary states satisfy a nonlinear relation (the idempotency equation) with respect to the star product of closed string field theory. This relation is universal in the sense that various D-branes, including the infinitesimally deformed ones, satisfy the same equation, including the coefficient. This paper generalizes our analysis (hep-th/0306189) in the following senses. (1) We present a background-independent formulation based on conformal field theory. It illuminates the geometric nature of the relation and allows us to more systematically analyze the variations around the D-brane background. (2) We show that the Witten-type star product satisfies a similar relation but with a more divergent coefficient. (3) We determine the coefficient of the relation analytically. The result shows that the alpha parameter can be formally factored out, and the relation becomes universal. We present a conjecture on vacuum theory based on this computation.
9.873456
9.795619
10.059823
8.945385
8.724727
9.756312
9.71345
9.462671
8.892744
11.637342
8.895099
9.416398
9.518917
9.306094
9.201762
9.25458
9.235991
9.211367
9.18058
9.537516
9.199586
1808.09434
Fedor Popov
Igor R. Klebanov, Fedor Popov, Grigory Tarnopolsky
TASI Lectures on Large $N$ Tensor Models
43 pages, 31 figures. This is an extended write-up of lectures given at TASI 2017. v2: minor improvements, references added
null
null
null
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The first part of these lecture notes is mostly devoted to a comparative discussion of the three basic large $N$ limits, which apply to fields which are vectors, matrices, or tensors of rank three and higher. After a brief review of some physical applications of large $N$ limits, we present a few solvable examples in zero space-time dimension. Using models with fields in the fundamental representation of $O(N)$, $O(N)^2$, or $O(N)^3$ symmetry, we compare their combinatorial properties and highlight a competition between the snail and melon diagrams. We exhibit the different methods used for solving the vector, matrix, and tensor large $N$ limits. In the latter example we review how the dominance of melonic diagrams follows when a special "tetrahedral" interaction is introduced. The second part of the lectures is mostly about the fermionic quantum mechanical tensor models, whose large $N$ limits are similar to that in the Sachdev-Ye-Kitaev (SYK) model. The minimal Majorana model with $O(N)^3$ symmetry and the tetrahedral Hamiltonian is reviewed in some detail; it is the closest tensor counterpart of the SYK model. Also reviewed are generalizations to complex fermionic tensors, including a model with $SU(N)^2\times O(N)\times U(1)$ symmetry, which is a tensor counterpart of the complex SYK model. The bosonic large $N$ tensor models, which are formally tractable in continuous spacetime dimension, are reviewed briefly at the end.
[ { "created": "Tue, 28 Aug 2018 17:48:13 GMT", "version": "v1" }, { "created": "Wed, 5 Sep 2018 19:10:55 GMT", "version": "v2" } ]
2018-09-07
[ [ "Klebanov", "Igor R.", "" ], [ "Popov", "Fedor", "" ], [ "Tarnopolsky", "Grigory", "" ] ]
The first part of these lecture notes is mostly devoted to a comparative discussion of the three basic large $N$ limits, which apply to fields which are vectors, matrices, or tensors of rank three and higher. After a brief review of some physical applications of large $N$ limits, we present a few solvable examples in zero space-time dimension. Using models with fields in the fundamental representation of $O(N)$, $O(N)^2$, or $O(N)^3$ symmetry, we compare their combinatorial properties and highlight a competition between the snail and melon diagrams. We exhibit the different methods used for solving the vector, matrix, and tensor large $N$ limits. In the latter example we review how the dominance of melonic diagrams follows when a special "tetrahedral" interaction is introduced. The second part of the lectures is mostly about the fermionic quantum mechanical tensor models, whose large $N$ limits are similar to that in the Sachdev-Ye-Kitaev (SYK) model. The minimal Majorana model with $O(N)^3$ symmetry and the tetrahedral Hamiltonian is reviewed in some detail; it is the closest tensor counterpart of the SYK model. Also reviewed are generalizations to complex fermionic tensors, including a model with $SU(N)^2\times O(N)\times U(1)$ symmetry, which is a tensor counterpart of the complex SYK model. The bosonic large $N$ tensor models, which are formally tractable in continuous spacetime dimension, are reviewed briefly at the end.
8.031223
7.551878
9.344567
7.695435
8.213931
7.881042
8.048836
8.019446
8.054822
9.525927
7.704195
7.848504
8.221063
7.834702
7.99283
7.983249
7.796063
7.774504
7.864019
8.442655
7.825518
1801.10521
Hanze Li
Hanze Li, Maolin Bo
Conformal geometric method study open strings and closed strings relationships on Dirichlet branes
null
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The compactness of the closed string in the classical Type II string theory reveals the duality, whereas the compactness of the open string reveals that the end of the string is on the hypersurface which satisfies the Dirichlet boundary condition.
[ { "created": "Wed, 31 Jan 2018 16:06:09 GMT", "version": "v1" } ]
2018-02-01
[ [ "Li", "Hanze", "" ], [ "Bo", "Maolin", "" ] ]
The compactness of the closed string in the classical Type II string theory reveals the duality, whereas the compactness of the open string reveals that the end of the string is on the hypersurface which satisfies the Dirichlet boundary condition.
14.091866
12.917199
13.912663
11.297369
12.323668
11.149784
11.898508
13.285787
11.148566
12.669073
11.099538
11.930328
14.163253
13.269964
12.507833
12.445626
11.519951
12.659142
12.472267
14.328162
11.71586
1306.6851
Mohammad R. Garousi
Mohammad R. Garousi
S-duality invariant dilaton couplings at order $\alpha'^3$
15 pages, Latex file, no figure; v4: the version appears in JHEP
null
10.1007/JHEP10(2013)076
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Riemann curvature correction to the type II supergravity at eight-derivative level is given schematically as $(t_8t_8+{1}{8}\eps_{10}\eps_{10})R^4$ at tree-level. The replacement of the generalized Riemann curvature in $t_8t_8R^4$, proposed by Gross and Sloan, produces various NS-NS couplings which are invariant under T-duality. Recently, using the combination of S-duality and T-duality transformations on these couplings, we have found groups of couplings which are invariant under the S-duality transformation. In this paper, we have examined the couplings involving the dilaton with direct scattering amplitude calculations of four NS-NS vertex operators in the superstring theory and found exact agreement. The coupling $\eps_{10}\eps_{10}R^4$ is a total derivative term at four-field level. The $\sigma$-model beta function approach implies the presence of this term at the tree-level. By examining the sphere-level scattering amplitude of five gravitons, we have also confirmed the presence of this term in the tree-level effective action.
[ { "created": "Fri, 28 Jun 2013 14:26:24 GMT", "version": "v1" }, { "created": "Tue, 2 Jul 2013 13:16:32 GMT", "version": "v2" }, { "created": "Sat, 13 Jul 2013 12:37:43 GMT", "version": "v3" }, { "created": "Wed, 11 Sep 2013 05:12:48 GMT", "version": "v4" } ]
2015-06-16
[ [ "Garousi", "Mohammad R.", "" ] ]
The Riemann curvature correction to the type II supergravity at eight-derivative level is given schematically as $(t_8t_8+{1}{8}\eps_{10}\eps_{10})R^4$ at tree-level. The replacement of the generalized Riemann curvature in $t_8t_8R^4$, proposed by Gross and Sloan, produces various NS-NS couplings which are invariant under T-duality. Recently, using the combination of S-duality and T-duality transformations on these couplings, we have found groups of couplings which are invariant under the S-duality transformation. In this paper, we have examined the couplings involving the dilaton with direct scattering amplitude calculations of four NS-NS vertex operators in the superstring theory and found exact agreement. The coupling $\eps_{10}\eps_{10}R^4$ is a total derivative term at four-field level. The $\sigma$-model beta function approach implies the presence of this term at the tree-level. By examining the sphere-level scattering amplitude of five gravitons, we have also confirmed the presence of this term in the tree-level effective action.
8.980373
7.825604
10.308433
7.774857
7.882152
8.2553
7.775405
7.582801
7.788937
10.354399
7.945846
8.145518
8.68204
8.321141
8.145456
8.447904
8.437169
8.355165
8.319725
9.237246
8.325736
hep-th/0205104
Dmitri Sorokin
Igor Bandos, Evgeny Ivanov, Jerzy Lukierski and Dmitri Sorokin
On the Superconformal Flatness of AdS Superspaces
LaTeX, 35 pages, version appeared in JHEP
JHEP 0206 (2002) 040
10.1088/1126-6708/2002/06/040
DFPD 02/TH/07, IFIC-02-16, FTUV/02-1904
hep-th
null
The superconformal structure of coset superspaces with AdS_m x S^n geometry of bosonic subspaces is studied. It is shown, in particular, that the conventional superspace extensions of the coset manifolds AdS_2 x S^2, AdS_3 x S^3 and AdS_5 x S^5, which arise as solutions of corresponding D=4,6, 10 supergravities and have been extensively studied in connection with AdS/CFT correspondence, are not superconformally flat, though their bosonic submanifolds are conformally flat. We give a group-theoretical reasoning for this fact. We find that in the AdS_2 x S^2 and AdS_3 x S^3 cases there exist different supercosets based on the supergroup OSp(4^*|2) which are superconformally flat. We also argue that in D=2,3,4 and 5 there exist superconformally flat `pure' AdS_D supercosets. Two methods of checking the superconformal flatness are proposed. One of them consists in solving the Maurer-Cartan structure equations and the other is based on embedding the isometry supergroup of the AdS_m x S^n superspace into a superconformal group in (m+n)-dimensional Minkowski space. Finally, we discuss some applications of the above results to the description of supersymmetric dynamical systems.
[ { "created": "Sun, 12 May 2002 18:15:09 GMT", "version": "v1" }, { "created": "Fri, 19 Jul 2002 14:27:57 GMT", "version": "v2" } ]
2009-11-07
[ [ "Bandos", "Igor", "" ], [ "Ivanov", "Evgeny", "" ], [ "Lukierski", "Jerzy", "" ], [ "Sorokin", "Dmitri", "" ] ]
The superconformal structure of coset superspaces with AdS_m x S^n geometry of bosonic subspaces is studied. It is shown, in particular, that the conventional superspace extensions of the coset manifolds AdS_2 x S^2, AdS_3 x S^3 and AdS_5 x S^5, which arise as solutions of corresponding D=4,6, 10 supergravities and have been extensively studied in connection with AdS/CFT correspondence, are not superconformally flat, though their bosonic submanifolds are conformally flat. We give a group-theoretical reasoning for this fact. We find that in the AdS_2 x S^2 and AdS_3 x S^3 cases there exist different supercosets based on the supergroup OSp(4^*|2) which are superconformally flat. We also argue that in D=2,3,4 and 5 there exist superconformally flat `pure' AdS_D supercosets. Two methods of checking the superconformal flatness are proposed. One of them consists in solving the Maurer-Cartan structure equations and the other is based on embedding the isometry supergroup of the AdS_m x S^n superspace into a superconformal group in (m+n)-dimensional Minkowski space. Finally, we discuss some applications of the above results to the description of supersymmetric dynamical systems.
4.950571
5.003285
5.188068
4.821099
5.081479
4.852476
5.031533
4.773743
4.864277
5.317924
4.77836
4.786174
4.905345
4.733432
4.854266
4.876031
4.807256
4.677457
4.719568
4.846786
4.774288
0709.0047
Jaeweon Lee Dr.
Jae-Weon Lee, Jungjai Lee, Hyeong-Chan Kim
Quantum Informational Dark Energy: Dark energy from forgetting
revtex,8 pages, 2 figures more detailed arguments added
Proceedings of the National Institute for Mathematical Science 8, 1 (2007)
10.1063/1.2817343
null
hep-th astro-ph quant-ph
null
We suggest that dark energy has a quantum informational origin. Landauer's principle associated with the erasure of quantum information at a cosmic horizon implies the non-zero vacuum energy having effective negative pressure. Assuming the holographic principle, the minimum free energy condition, and the Gibbons-Hawking temperature for the cosmic event horizon we obtain the holographic dark energy with the parameter $d\simeq 1$, which is consistent with the current observational data. It is also shown that both the entanglement energy and the horizon energy can be related to Landauer's principle.
[ { "created": "Sat, 1 Sep 2007 09:25:29 GMT", "version": "v1" }, { "created": "Fri, 26 Oct 2007 16:02:29 GMT", "version": "v2" }, { "created": "Sun, 6 Apr 2008 05:03:56 GMT", "version": "v3" } ]
2015-05-13
[ [ "Lee", "Jae-Weon", "" ], [ "Lee", "Jungjai", "" ], [ "Kim", "Hyeong-Chan", "" ] ]
We suggest that dark energy has a quantum informational origin. Landauer's principle associated with the erasure of quantum information at a cosmic horizon implies the non-zero vacuum energy having effective negative pressure. Assuming the holographic principle, the minimum free energy condition, and the Gibbons-Hawking temperature for the cosmic event horizon we obtain the holographic dark energy with the parameter $d\simeq 1$, which is consistent with the current observational data. It is also shown that both the entanglement energy and the horizon energy can be related to Landauer's principle.
9.644613
9.700433
8.710391
8.788787
9.934574
9.81733
11.839837
8.713008
8.783066
9.613853
9.155663
9.377213
9.36042
8.932191
8.749725
9.14776
9.15914
9.385205
8.928779
9.355973
9.15702
hep-th/0007185
Ian G. Moss
Ian G Moss
Heat Kernel Expansions for Distributional Backgrounds
6 pages, ReVTeX
Phys.Lett. B491 (2000) 203-206
10.1016/S0370-2693(00)00966-7
null
hep-th
null
Heat kernel expansion coefficients are calculated for vacuum fluctuations with distributional background potentials and field strengths. Terms up to and including t^5/2 are presented.
[ { "created": "Mon, 24 Jul 2000 14:56:06 GMT", "version": "v1" } ]
2009-10-31
[ [ "Moss", "Ian G", "" ] ]
Heat kernel expansion coefficients are calculated for vacuum fluctuations with distributional background potentials and field strengths. Terms up to and including t^5/2 are presented.
49.816284
36.004551
30.508802
27.807989
39.221581
38.882282
33.364082
28.780046
38.02224
33.716499
30.930895
31.679684
30.615734
30.191412
31.665579
33.675526
32.018253
30.027838
28.976984
29.385714
33.242596
1806.07216
Dionisio Bazeia
D. Bazeia, D.A. Ferreira, Elisama E.M. Lima, L. Losano
Novel results for kinklike structures and their connections to quantum mechanics
19 pages, 27 figures. To appear in Annals of Physics
Ann. Phys. 395 (2018) 275
10.1016/j.aop.2018.06.006
null
hep-th nlin.PS quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we use the deformation procedure and explore the route to obtain distinct field theory models that present similar stability potentials. Starting from systems that interact polynomially or hyperbolically, we use a deformation function which allows to construct other theories having the feature of giving rise to the same stability potentials. Such deformation function leads to smooth potentials according to a specific choice of a single parameter. Among the results, one shows that for models with asymmetric topological sectors, the appearance of a new stability potential is also possible.
[ { "created": "Tue, 19 Jun 2018 13:37:38 GMT", "version": "v1" } ]
2018-07-04
[ [ "Bazeia", "D.", "" ], [ "Ferreira", "D. A.", "" ], [ "Lima", "Elisama E. M.", "" ], [ "Losano", "L.", "" ] ]
In this work we use the deformation procedure and explore the route to obtain distinct field theory models that present similar stability potentials. Starting from systems that interact polynomially or hyperbolically, we use a deformation function which allows to construct other theories having the feature of giving rise to the same stability potentials. Such deformation function leads to smooth potentials according to a specific choice of a single parameter. Among the results, one shows that for models with asymmetric topological sectors, the appearance of a new stability potential is also possible.
27.077301
21.427452
27.943716
24.389311
23.82756
21.832632
22.991938
21.605383
23.917482
28.322466
23.80995
25.315321
27.252079
26.225374
25.689873
24.995924
24.036587
25.01193
25.726587
27.805464
25.668703
1004.2344
Asrarul Haque
Asrarul Haque, Satish D. Joglekar
Causality in 1+1 Dimensional Yukawa Model-II
14 pages; corrected typos in section 5
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss the limits g tending to large, M tending to large with g^3/M = const. of the 1 + 1 dimensional Yukawa model. We take into account conclusion of the results on bound states of the Yukawa Model in this limit (obtained in [7]). We find that model reduces to an effective nonlocal phi 3 theory in this limit. We observe causality violation in this limit. We discuss the result.
[ { "created": "Wed, 14 Apr 2010 08:02:17 GMT", "version": "v1" }, { "created": "Mon, 26 Apr 2010 02:49:13 GMT", "version": "v2" } ]
2010-04-27
[ [ "Haque", "Asrarul", "" ], [ "Joglekar", "Satish D.", "" ] ]
We discuss the limits g tending to large, M tending to large with g^3/M = const. of the 1 + 1 dimensional Yukawa model. We take into account conclusion of the results on bound states of the Yukawa Model in this limit (obtained in [7]). We find that model reduces to an effective nonlocal phi 3 theory in this limit. We observe causality violation in this limit. We discuss the result.
17.801529
18.585388
17.371725
18.76577
19.23234
17.897503
18.835283
16.502808
19.375862
20.30545
16.973991
16.59943
18.141029
17.153229
18.770893
16.481133
17.17754
16.483696
17.999456
18.93976
17.086855
hep-th/0007198
Perivolaropoulos Leandros
M. Axenides, E. G. Floratos and L. Perivolaropoulos
Metastability of Spherical Membranes in Supermembrane and Matrix Theory
7 pages (two column)
JHEP 0011:020,2000
10.1088/1126-6708/2000/11/020
null
hep-th
null
Motivated by recent work we study rotating ellipsoidal membranes in the framework of the light-cone supermembrane theory. We investigate stability properties of these classical solutions which are important for the quantization of super membranes. We find the stability modes for all sectors of small multipole deformations. We exhibit an isomorphism of the linearized membrane equation with that of the SU(N) matrix model for every value of $N$. The boundaries of the linearized stability region are at a finite distance and they appear for finite size perturbations.
[ { "created": "Tue, 25 Jul 2000 15:54:10 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 2000 09:19:48 GMT", "version": "v2" } ]
2014-11-18
[ [ "Axenides", "M.", "" ], [ "Floratos", "E. G.", "" ], [ "Perivolaropoulos", "L.", "" ] ]
Motivated by recent work we study rotating ellipsoidal membranes in the framework of the light-cone supermembrane theory. We investigate stability properties of these classical solutions which are important for the quantization of super membranes. We find the stability modes for all sectors of small multipole deformations. We exhibit an isomorphism of the linearized membrane equation with that of the SU(N) matrix model for every value of $N$. The boundaries of the linearized stability region are at a finite distance and they appear for finite size perturbations.
16.239889
14.58178
17.798519
14.104094
16.468298
14.07661
14.416891
13.070734
14.189146
18.183159
12.877146
14.416363
15.325747
14.348248
14.160913
15.695861
14.6027
14.685923
14.425309
15.537103
13.801826
2112.14042
Pavel Kovtun
Raphael E. Hoult and Pavel Kovtun
Causal first-order hydrodynamics from kinetic theory and holography
23 pages
null
10.1103/PhysRevD.106.066023
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show how causal relativistic Navier-Stokes equations arise from the relativistic Boltzmann equation: the causality is preserved via a judicious choice of the zero modes of the collision operator. A completely analogous procedure may be used to extract causal hydrodynamics from the fluid-gravity correspondence: again, causality of the hydrodynamic equations is preserved by a suitable choice of zero modes of the corresponding differential operators in the bulk. We give examples of zero modes which give rise to causal hydrodynamic equations for non-conformal fluids with a conserved U(1) global symmetry current.
[ { "created": "Tue, 28 Dec 2021 08:50:41 GMT", "version": "v1" } ]
2022-10-12
[ [ "Hoult", "Raphael E.", "" ], [ "Kovtun", "Pavel", "" ] ]
We show how causal relativistic Navier-Stokes equations arise from the relativistic Boltzmann equation: the causality is preserved via a judicious choice of the zero modes of the collision operator. A completely analogous procedure may be used to extract causal hydrodynamics from the fluid-gravity correspondence: again, causality of the hydrodynamic equations is preserved by a suitable choice of zero modes of the corresponding differential operators in the bulk. We give examples of zero modes which give rise to causal hydrodynamic equations for non-conformal fluids with a conserved U(1) global symmetry current.
8.502262
8.031755
8.21858
7.786167
7.651381
8.174734
7.570926
7.752565
7.546108
8.373502
7.546214
7.545982
8.205061
7.667491
7.403906
7.404514
7.268291
7.877829
7.774518
7.907399
7.531795
2403.03374
Gaston Giribet
Gaston Giribet
Remarks on celestial amplitudes and Liouville theory
12 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The relation between celestial holography and Liouville field theory is investigated. It is shown that duality relations between different Selberg type integrals appearing in the Coulomb gas realization of Liouville correlation functions induce a series of relations between celestial amplitudes with shifted values of the operators dimensions $\Delta $. This is a transcript of the talk delivered by the author at the Workshop on Celestial Holography and Asymptotic Symmetries, Santiago de Chile, March 4-6, 2024.
[ { "created": "Tue, 5 Mar 2024 23:52:20 GMT", "version": "v1" } ]
2024-03-07
[ [ "Giribet", "Gaston", "" ] ]
The relation between celestial holography and Liouville field theory is investigated. It is shown that duality relations between different Selberg type integrals appearing in the Coulomb gas realization of Liouville correlation functions induce a series of relations between celestial amplitudes with shifted values of the operators dimensions $\Delta $. This is a transcript of the talk delivered by the author at the Workshop on Celestial Holography and Asymptotic Symmetries, Santiago de Chile, March 4-6, 2024.
8.733588
7.607193
10.122797
7.884823
7.699922
7.4431
7.229476
7.964851
7.855165
10.861647
7.621834
7.491859
8.79337
7.828773
7.928911
7.602247
7.93774
7.952618
8.040632
8.687952
7.659724
2003.06052
Hemily Gomes Marciano Fortes
Hemily Gomes Marciano Fortes, M\'arcio Eduardo da Silva Alves
Absence of the Higuchi bound in a family of alternative linear massive spin-2 models
null
Classical and Quantum Gravity 2022
10.1088/1361-6382/ac7b06
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There is a well known result from the Fierz-Pauli (FP) theory in de Sitter background that is the existence of a lower bound for the mass $m$ of the spin 2 particle, the Higuchi bound. It establishes that $m^2\geq 2H^2$, where $H$ is the Hubble parameter, in order to the theory presents no ghost-like instabilities. In this sense, $m$ should be unacceptable high in order to fulfill this condition at the time of the inflationary epoch of the Universe, posing a difficulty to conciliate the FP theory with cosmology. In this letter we show that the Higuchi bound can be circumvented in an alternative description of massive spin-2 particles known as $\mathcal{L}(a_1)$ models. In maximally symmetric spaces the theory has two free parameters which can be consistently chosen in order to make the model absent of a lower bound for $m$. Then, $m$ can be arbitrarily smaller than the energy scale of inflation avoiding instabilities at that time.
[ { "created": "Thu, 12 Mar 2020 23:03:02 GMT", "version": "v1" }, { "created": "Wed, 24 Jun 2020 13:53:25 GMT", "version": "v2" }, { "created": "Fri, 2 Oct 2020 18:24:04 GMT", "version": "v3" }, { "created": "Wed, 29 Jun 2022 20:23:12 GMT", "version": "v4" } ]
2022-07-01
[ [ "Fortes", "Hemily Gomes Marciano", "" ], [ "Alves", "Márcio Eduardo da Silva", "" ] ]
There is a well known result from the Fierz-Pauli (FP) theory in de Sitter background that is the existence of a lower bound for the mass $m$ of the spin 2 particle, the Higuchi bound. It establishes that $m^2\geq 2H^2$, where $H$ is the Hubble parameter, in order to the theory presents no ghost-like instabilities. In this sense, $m$ should be unacceptable high in order to fulfill this condition at the time of the inflationary epoch of the Universe, posing a difficulty to conciliate the FP theory with cosmology. In this letter we show that the Higuchi bound can be circumvented in an alternative description of massive spin-2 particles known as $\mathcal{L}(a_1)$ models. In maximally symmetric spaces the theory has two free parameters which can be consistently chosen in order to make the model absent of a lower bound for $m$. Then, $m$ can be arbitrarily smaller than the energy scale of inflation avoiding instabilities at that time.
7.378799
6.993129
7.531003
6.831531
7.256669
6.976402
7.377907
6.760551
6.792217
7.809037
6.808872
6.962705
6.917462
6.694479
6.677767
6.728988
6.814816
6.794188
7.006798
6.917639
6.919276
1605.01907
Hermann Schulz
Hermann Schulz (Institut f\"ur Theoretische Physik, Leibniz Universit\"at Hannover)
Hamiltonian YM 2+1: note on point splitting regularization
25 pages
null
null
ITP-UH-10/16
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Hamiltonian of 2+1 dimensional Yang Mills theory was derived by Karabali, Kim and Nair by using point splitting regularization. But in calculating e.g. the vacuum wave functional this scheme was left in favour of arguments. Here we follow up a conjecture of Leigh, Minic and Yelnikov of how this gap might be filled by including all positive powers of the regularization parameter ($\ep \to +0$). Admittedly, though we concentrate on the ground state in the large $N$ limit, only two such powers could be included due to the increasing complexity of the task.
[ { "created": "Fri, 6 May 2016 12:10:20 GMT", "version": "v1" } ]
2016-05-09
[ [ "Schulz", "Hermann", "", "Institut für Theoretische Physik, Leibniz\n Universität Hannover" ] ]
The Hamiltonian of 2+1 dimensional Yang Mills theory was derived by Karabali, Kim and Nair by using point splitting regularization. But in calculating e.g. the vacuum wave functional this scheme was left in favour of arguments. Here we follow up a conjecture of Leigh, Minic and Yelnikov of how this gap might be filled by including all positive powers of the regularization parameter ($\ep \to +0$). Admittedly, though we concentrate on the ground state in the large $N$ limit, only two such powers could be included due to the increasing complexity of the task.
15.181767
18.882113
16.839661
15.315895
14.741542
17.682749
16.344727
15.455071
14.097642
23.837214
14.71501
14.845849
15.42043
14.415497
15.437969
14.197517
15.301937
14.601472
15.083881
14.874738
14.581322
hep-th/0703099
Mohsen Alishahiha
Mohsen Alishahiha
On R**2 Corrections for 5D Black Holes
16 pages, latex file, V3: typos corrected, refs added, V4; minor corrections, few comments added, refs added
JHEP0708:094,2007
10.1088/1126-6708/2007/08/094
IPM/P-2007/011
hep-th
null
We study higher order corrections to extremal black holes/black string in five dimensions. These higher order corrections are due to supersymmetric completion of R**2 term in five dimensions. By making use of the results we extend the notion of very special geometry when higher derivative terms are also taken into account. This can be used to make a connection between total bundle space of near horizon wrapped M2's and wrapped M5's in the presence of higher order corrections. We also show how the corrected geometry removes the singularity of a small black hole.
[ { "created": "Fri, 9 Mar 2007 19:17:32 GMT", "version": "v1" }, { "created": "Sun, 11 Mar 2007 17:21:55 GMT", "version": "v2" }, { "created": "Sat, 17 Mar 2007 11:01:28 GMT", "version": "v3" }, { "created": "Mon, 14 May 2007 14:16:34 GMT", "version": "v4" } ]
2008-11-26
[ [ "Alishahiha", "Mohsen", "" ] ]
We study higher order corrections to extremal black holes/black string in five dimensions. These higher order corrections are due to supersymmetric completion of R**2 term in five dimensions. By making use of the results we extend the notion of very special geometry when higher derivative terms are also taken into account. This can be used to make a connection between total bundle space of near horizon wrapped M2's and wrapped M5's in the presence of higher order corrections. We also show how the corrected geometry removes the singularity of a small black hole.
14.92122
13.738532
17.340586
14.939658
14.609049
15.414864
15.540929
14.266545
13.802324
17.907175
13.736312
13.584949
15.262194
13.683832
14.39059
14.058
13.885894
14.005342
13.724157
15.510054
13.548545
hep-th/9811243
Richard Dawid
R. Dawid
A speculative remark on holography
14 pages, a reference added
Phys.Lett.B451:19-26,1999
10.1016/S0370-2693(99)00205-1
LBNL-42058
hep-th gr-qc
null
Holography suggests a considerable reduction of degrees of freedom in theories with gravity. However it seems to be difficult to understand how holography could be realized in a closed re--contracting universe. In this letter we claim that a scenario which achieves that goal will eliminate all spatial degrees of freedom. This would require a different concept of quantum mechanics and would imply an intriguing increase of power for the natural laws.
[ { "created": "Fri, 27 Nov 1998 19:28:01 GMT", "version": "v1" }, { "created": "Tue, 15 Dec 1998 02:56:27 GMT", "version": "v2" } ]
2014-11-18
[ [ "Dawid", "R.", "" ] ]
Holography suggests a considerable reduction of degrees of freedom in theories with gravity. However it seems to be difficult to understand how holography could be realized in a closed re--contracting universe. In this letter we claim that a scenario which achieves that goal will eliminate all spatial degrees of freedom. This would require a different concept of quantum mechanics and would imply an intriguing increase of power for the natural laws.
24.942598
20.751905
23.183598
21.577477
22.73716
19.513462
20.187912
21.783846
20.221388
24.407814
18.502558
18.702955
19.269794
19.112082
18.818972
20.265806
19.460794
19.122511
19.571457
20.248192
19.84655
2010.08255
Kanghoon Lee
David S. Berman, Kwangeon Kim, Kanghoon Lee
The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
34 pages; v2: minor changes, references added; v3: JHEP published version
null
10.1007/JHEP04(2021)071
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to construct a Kerr-Schild type Ansatz for exceptional field theory. This Kerr-Schild Ansatz then allows us to find the solutions of charged objects such as the membrane from a set of single copy fields. The exceptional field theory formalism then automatically produces the IIB Kerr-Schild ansatz allowing the construction of the single copy for the fields of IIB supergravity (with manifest $SL(2)$ symmetry).
[ { "created": "Fri, 16 Oct 2020 09:08:11 GMT", "version": "v1" }, { "created": "Wed, 28 Oct 2020 07:47:47 GMT", "version": "v2" }, { "created": "Thu, 16 Sep 2021 08:35:35 GMT", "version": "v3" } ]
2021-09-17
[ [ "Berman", "David S.", "" ], [ "Kim", "Kwangeon", "" ], [ "Lee", "Kanghoon", "" ] ]
We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to construct a Kerr-Schild type Ansatz for exceptional field theory. This Kerr-Schild Ansatz then allows us to find the solutions of charged objects such as the membrane from a set of single copy fields. The exceptional field theory formalism then automatically produces the IIB Kerr-Schild ansatz allowing the construction of the single copy for the fields of IIB supergravity (with manifest $SL(2)$ symmetry).
11.974099
10.27119
12.405791
10.751572
11.41119
11.186238
11.255987
10.49695
9.996682
14.54603
10.058464
10.232976
10.804299
10.353544
10.492619
10.121593
9.835456
10.296316
10.704453
11.527278
10.626797
1403.0935
Fotis Farakos
Fotis Farakos and Rikard von Unge
Complex Linear Effective Theory and Supersymmetry Breaking Vacua
15 pages, 29 figures, version accepted in PRD
Phys. Rev. D 91, 045024 (2015)
10.1103/PhysRevD.91.045024
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We calculate the low energy effective action of massless and massive complex linear superfields coupled to a massive U(1) vector multiplet. Our calculations include superspace higher derivative corrections and therefore go beyond previous results. Among the superspace higher derivatives we find that terms which lead to a deformation of the auxiliary field potential and may break supersymmetry are also generated. We show that the supersymmetry breaking vacua can only be trusted if there exists a hierarchy between the higher order terms. A renormalization group analysis shows that generically a hierarchy is not generated by the quantum corrections.
[ { "created": "Tue, 4 Mar 2014 20:59:24 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2014 17:11:24 GMT", "version": "v2" }, { "created": "Thu, 29 Jan 2015 08:14:09 GMT", "version": "v3" } ]
2015-03-05
[ [ "Farakos", "Fotis", "" ], [ "von Unge", "Rikard", "" ] ]
We calculate the low energy effective action of massless and massive complex linear superfields coupled to a massive U(1) vector multiplet. Our calculations include superspace higher derivative corrections and therefore go beyond previous results. Among the superspace higher derivatives we find that terms which lead to a deformation of the auxiliary field potential and may break supersymmetry are also generated. We show that the supersymmetry breaking vacua can only be trusted if there exists a hierarchy between the higher order terms. A renormalization group analysis shows that generically a hierarchy is not generated by the quantum corrections.
10.742169
10.217271
11.448302
9.751659
9.816185
11.657898
9.647969
9.985417
9.687298
12.245891
9.625384
9.922594
10.82903
10.348821
10.02072
10.168368
9.742764
9.825992
10.165484
11.171169
9.759912
hep-th/9806189
Alexios P. Polychronakos
Alexios P. Polychronakos
Generalized Calogero-Sutherland systems from many-matrix models
8 pages, LaTeX, no figures
Nucl.Phys. B546 (1999) 495-502
10.1016/S0550-3213(99)00112-1
UUITP-7/98
hep-th cond-mat.str-el math-ph math.MP nlin.SI solv-int
null
We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.
[ { "created": "Tue, 23 Jun 1998 11:43:00 GMT", "version": "v1" } ]
2009-10-31
[ [ "Polychronakos", "Alexios P.", "" ] ]
We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.
12.317795
10.454077
13.641973
10.08812
10.757526
10.574591
11.371693
10.756845
10.12517
14.178121
10.991772
10.355831
11.295678
10.691122
10.499545
10.916355
10.697514
10.674667
10.199973
12.22154
10.65412
1512.03649
Jan Troost
Antoine Bourget and Jan Troost
The Covariant Chiral Ring
19 pages
null
10.1007/JHEP03(2016)163
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N=(4,4) supersymmetry in two dimensions. For seed target spaces K3 and T4, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.
[ { "created": "Fri, 11 Dec 2015 14:11:22 GMT", "version": "v1" } ]
2016-05-04
[ [ "Bourget", "Antoine", "" ], [ "Troost", "Jan", "" ] ]
We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N=(4,4) supersymmetry in two dimensions. For seed target spaces K3 and T4, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.
6.369755
6.090337
9.157752
6.478045
6.545173
6.581398
6.906939
6.639111
6.786567
9.66132
6.865713
6.174741
7.457545
6.59046
6.347301
6.301589
6.37021
6.409016
6.199307
7.405182
6.498006
1706.07143
Andrew Strominger
Andrew Strominger
Black Hole Information Revisited
10 pages
null
null
null
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We argue that four-dimensional black hole evaporation inevitably produces an infinite number of soft particles in addition to the thermally distributed `hard' Hawking quanta, and moreover that the soft and hard particles are highly correlated. This raises the possibility that quantum purity is restored by correlations between the hard and soft radiation, while inclusive measurements which omit the soft radiation observe the thermal Hawking spectrum. In theories whose only stable particle is the graviton, conservation laws are used to argue that such correlations are in principle sufficient for the soft gravitons to purify the hard thermal ones.
[ { "created": "Thu, 22 Jun 2017 00:51:55 GMT", "version": "v1" } ]
2017-06-23
[ [ "Strominger", "Andrew", "" ] ]
We argue that four-dimensional black hole evaporation inevitably produces an infinite number of soft particles in addition to the thermally distributed `hard' Hawking quanta, and moreover that the soft and hard particles are highly correlated. This raises the possibility that quantum purity is restored by correlations between the hard and soft radiation, while inclusive measurements which omit the soft radiation observe the thermal Hawking spectrum. In theories whose only stable particle is the graviton, conservation laws are used to argue that such correlations are in principle sufficient for the soft gravitons to purify the hard thermal ones.
11.42274
13.199802
10.988928
10.965838
12.753557
11.116018
12.978884
12.02763
11.506534
11.646883
10.755549
10.713721
11.468368
10.984232
10.842175
10.926468
10.478628
11.163464
10.877465
11.432348
10.736838
1806.04690
Francesco Muia
Sven Krippendorf, Francesco Muia and Fernando Quevedo
Moduli Stars
null
null
10.1007/JHEP08(2018)070
null
hep-th astro-ph.CO hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore the possibility that (Bose-Einstein) condensation of scalar fields from string compactifications can lead to long-lived compact objects. Depending on the type of scalar fields we find different realisations of star-like and solitonic objects. We illustrate in the framework of type~IIB string compactifications that closed string moduli can lead to heavy microscopic stars with masses of order $\mathcal{V}^\alpha M_{\rm Planck}$, $\alpha=1,3/2,5/3$ where $\mathcal{V}$ is the volume of the extra dimensions. Macroscopic compact objects from ultra-light string axions are realised with masses of order $e^{\mathcal{V}^{2/3}}M_{\rm Planck}.$ Q-ball configurations can be obtained from open string moduli whereas the closed string sector gives rise to a new class of solutions, named PQ-balls, that arise in the two-field axion-modulus system. The stability, the potential for the formation, and the observability of moduli stars through gravitational waves are discussed. In particular we point out that during the early matter phase given by moduli domination, density perturbations grow by a factor $\mathcal{V}^{\beta}$ with $\beta>2$ and non-linear effects cannot be neglected.
[ { "created": "Tue, 12 Jun 2018 18:00:17 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2018 07:52:32 GMT", "version": "v2" } ]
2018-09-26
[ [ "Krippendorf", "Sven", "" ], [ "Muia", "Francesco", "" ], [ "Quevedo", "Fernando", "" ] ]
We explore the possibility that (Bose-Einstein) condensation of scalar fields from string compactifications can lead to long-lived compact objects. Depending on the type of scalar fields we find different realisations of star-like and solitonic objects. We illustrate in the framework of type~IIB string compactifications that closed string moduli can lead to heavy microscopic stars with masses of order $\mathcal{V}^\alpha M_{\rm Planck}$, $\alpha=1,3/2,5/3$ where $\mathcal{V}$ is the volume of the extra dimensions. Macroscopic compact objects from ultra-light string axions are realised with masses of order $e^{\mathcal{V}^{2/3}}M_{\rm Planck}.$ Q-ball configurations can be obtained from open string moduli whereas the closed string sector gives rise to a new class of solutions, named PQ-balls, that arise in the two-field axion-modulus system. The stability, the potential for the formation, and the observability of moduli stars through gravitational waves are discussed. In particular we point out that during the early matter phase given by moduli domination, density perturbations grow by a factor $\mathcal{V}^{\beta}$ with $\beta>2$ and non-linear effects cannot be neglected.
8.838853
9.395634
9.068012
8.406616
9.693042
9.543743
9.071678
8.829915
8.645636
9.427575
8.563824
8.469018
8.836848
8.313444
8.750585
8.577112
8.488462
8.516972
8.553213
8.643065
8.526223
1608.01665
Piotr Tourkine
Piotr Tourkine, Pierre Vanhove
Higher-loop amplitude monodromy relations in string and gauge theory
6 pages, 2 figures, feynmp graphs. v2: Signs and factor 2 corrected. Various clarifications and references added. v3: Some clarifications and minor corrections, version to be published in PRL. v4: Sign corrected in non-planar phases cuts
Phys. Rev. Lett. 117, 211601 (2016)
10.1103/PhysRevLett.117.211601
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in tremendous progress on the computations of loop amplitudes in quantum field theory, but a higher-loop generalisation of the monodromy construction was lacking. In this letter, we extend the monodromy relations to higher loops in open string theory. Our construction, based on a contour deformation argument inside open string diagrams, leads to new identities that relate planar and non-planar topologies in string theory. We write one and two-loop monodromy formulae explicitly at any multiplicity. In the field theory limit, at one-loop we obtain identities that reproduce known results. At two loops, we check our formulae by unitarity in the case of the four-point N=4 super-Yang-Mills amplitude.
[ { "created": "Thu, 4 Aug 2016 19:57:46 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2016 16:12:15 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2016 09:35:07 GMT", "version": "v3" }, { "created": "Fri, 21 Jul 2017 12:11:56 GMT", "version": "v4" } ]
2017-07-24
[ [ "Tourkine", "Piotr", "" ], [ "Vanhove", "Pierre", "" ] ]
The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in tremendous progress on the computations of loop amplitudes in quantum field theory, but a higher-loop generalisation of the monodromy construction was lacking. In this letter, we extend the monodromy relations to higher loops in open string theory. Our construction, based on a contour deformation argument inside open string diagrams, leads to new identities that relate planar and non-planar topologies in string theory. We write one and two-loop monodromy formulae explicitly at any multiplicity. In the field theory limit, at one-loop we obtain identities that reproduce known results. At two loops, we check our formulae by unitarity in the case of the four-point N=4 super-Yang-Mills amplitude.
7.632895
8.048976
8.120632
7.576343
7.442393
8.046612
8.143932
7.661304
7.642519
8.730669
7.176156
7.63655
7.730295
7.296211
7.420191
7.541347
7.460332
7.548582
7.466824
7.586422
7.584098
2406.09508
Carlo Angelantonj
Carlo Angelantonj (University of Torino) and Ioannis Florakis (University of Ioannina)
A Lightning Introduction to String Theory
55 pages. Invited chapter for "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto, and I. L. Shapiro, Springer 2023)
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give a lightning introduction to critical string theory, including the 26-dimensional bosonic string, the 10-dimensional superstrings and heterotic strings with and without spacetime supersymmetry. We also discuss open strings and D-branes, as well as the orientifold constructions, in ten dimensions.
[ { "created": "Thu, 13 Jun 2024 18:00:20 GMT", "version": "v1" } ]
2024-06-17
[ [ "Angelantonj", "Carlo", "", "University of Torino" ], [ "Florakis", "Ioannis", "", "University of Ioannina" ] ]
We give a lightning introduction to critical string theory, including the 26-dimensional bosonic string, the 10-dimensional superstrings and heterotic strings with and without spacetime supersymmetry. We also discuss open strings and D-branes, as well as the orientifold constructions, in ten dimensions.
7.407201
5.928166
7.766773
5.952832
6.24945
6.031706
5.941434
5.600708
5.601802
9.879824
5.712046
6.330933
7.366868
6.066115
6.188204
5.968081
6.256346
6.096954
5.990178
7.714262
6.173356
1206.1538
Manuel A. Valle
Manuel Valle
Hydrodynamics in 1+1 dimensions with gravitational anomalies
9 pages, JHEP format.v2; added comments and references, matching published version
JHEP 1208 (2012) 113
10.1007/JHEP08(2012)113
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at second derivative order. This partition function is then used to compute the parity-violating part of the covariant energy-momentum tensor and the transport coefficients.
[ { "created": "Thu, 7 Jun 2012 16:09:04 GMT", "version": "v1" }, { "created": "Mon, 5 Nov 2012 15:22:05 GMT", "version": "v2" } ]
2012-11-06
[ [ "Valle", "Manuel", "" ] ]
The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at second derivative order. This partition function is then used to compute the parity-violating part of the covariant energy-momentum tensor and the transport coefficients.
15.04316
11.132504
13.876127
11.380862
11.153319
9.93384
10.338579
10.040183
10.162322
16.338839
11.244951
11.711894
14.159339
13.350113
12.338987
12.461369
11.841415
12.221043
12.906732
13.895074
12.638599
hep-th/9210042
W. Kim Baskerville
W.K.Baskerville and S.Majid
The Braided Heisenberg Group
33 pages
J.Math.Phys. 34 (1993) 3588-3606
10.1063/1.530047
null
hep-th
null
We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group. We also show that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra $U_{q}(h)$, and use this result to derive an action of $U_{q}(h)$ on the braided groups. We then demonstrate the various covariance properties using the braided Heisenberg group as an explicit example. In addition, the braided Heisenberg group is found to be self-dual. Finally, we discuss a physical application to a system of n braided harmonic oscillators. An isomorphism is found between the n-fold braided and unbraided tensor products, and the usual `free' time evolution is shown to be equivalent to an action of a primitive generator of $U_{q}(h)$ on the braided tensor product.
[ { "created": "Thu, 8 Oct 1992 13:56:40 GMT", "version": "v1" } ]
2009-10-22
[ [ "Baskerville", "W. K.", "" ], [ "Majid", "S.", "" ] ]
We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group. We also show that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra $U_{q}(h)$, and use this result to derive an action of $U_{q}(h)$ on the braided groups. We then demonstrate the various covariance properties using the braided Heisenberg group as an explicit example. In addition, the braided Heisenberg group is found to be self-dual. Finally, we discuss a physical application to a system of n braided harmonic oscillators. An isomorphism is found between the n-fold braided and unbraided tensor products, and the usual `free' time evolution is shown to be equivalent to an action of a primitive generator of $U_{q}(h)$ on the braided tensor product.
6.98772
7.042708
7.401181
6.573557
7.394579
7.220333
7.283574
6.703783
6.616076
7.429064
6.83522
6.654697
6.857337
6.700244
6.549017
6.649405
6.53092
6.803375
6.582667
6.892365
6.463301
hep-th/9310085
Ivo Sachs
I. Sachs and A. Wipf
Temperature- and Curvature Dependence of the Chiral Symmetry Breaking in 2D Gauge Theories
ETH-93-38, Latex 12 pages
Phys.Lett. B326 (1994) 105-110
10.1016/0370-2693(94)91200-9
null
hep-th
null
The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for the dependence of the chiral condensate on the temperature and the curvature. Both, high temperature and high curvature supress the condensate exponentially and we can associate an effective temperature to the curvature.
[ { "created": "Thu, 14 Oct 1993 17:38:27 GMT", "version": "v1" } ]
2009-10-22
[ [ "Sachs", "I.", "" ], [ "Wipf", "A.", "" ] ]
The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for the dependence of the chiral condensate on the temperature and the curvature. Both, high temperature and high curvature supress the condensate exponentially and we can associate an effective temperature to the curvature.
11.225673
9.892375
9.919095
9.787128
10.147241
9.738297
10.009608
9.949706
9.202962
10.683808
9.396464
9.91331
10.501531
10.020596
10.233839
10.49424
10.4671
10.074009
9.585799
9.827267
9.944081
hep-th/0011272
Victor Kim
Victor T. Kim (PNPI, St.Petersburg & CERN, Geneva), Victor A. Matveev (INR, Moscow), Grigorii B. Pivovarov (INR, Moscow) and James P. Vary (Iowa State University, Ames)
The Challenge of Light-Front Quantisation: Recent Results
17 pages, lecture delivered by GBP at the XXXIV PNPI Winter School, Repino, St.Petersburg, Russia, February 14-20, 2000, version to appear in the Proceedings
null
null
CERN-TH/2000-341, IITAP-2000-007
hep-th hep-ph
null
We explain what is the challenge of light-front quantisation, and how we can now answer it because of recent progress in solving the problem of zero modes in the case of non-Abelian gauge theories. We also give a description of the light-front Hamiltonian for SU(2) finite volume gluodynamics resulting from this recent solution to the problem of light-front zero modes.
[ { "created": "Wed, 29 Nov 2000 16:54:22 GMT", "version": "v1" }, { "created": "Sat, 27 Jan 2001 17:12:02 GMT", "version": "v2" }, { "created": "Tue, 30 Jan 2001 13:47:44 GMT", "version": "v3" } ]
2007-05-23
[ [ "Kim", "Victor T.", "", "PNPI, St.Petersburg & CERN, Geneva" ], [ "Matveev", "Victor A.", "", "INR, Moscow" ], [ "Pivovarov", "Grigorii B.", "", "INR, Moscow" ], [ "Vary", "James P.", "", "Iowa\n State University, Ames" ] ]
We explain what is the challenge of light-front quantisation, and how we can now answer it because of recent progress in solving the problem of zero modes in the case of non-Abelian gauge theories. We also give a description of the light-front Hamiltonian for SU(2) finite volume gluodynamics resulting from this recent solution to the problem of light-front zero modes.
12.683913
10.71592
10.691162
10.105123
11.199269
9.85098
10.534863
10.316571
10.118705
12.282583
9.908454
10.607967
10.314474
10.374981
10.494445
10.606862
10.043985
10.266667
10.251625
10.371684
10.946311
1110.1859
Stephen G. Naculich
Stephen G. Naculich
All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes
12 pages, no figures; v2: added references, minor corrections; v3: minor clarifications, published version
null
10.1016/j.physletb.2011.12.010
BOW-PH-152
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive constraints on the color-ordered amplitudes of the L-loop four-point function in SU(N) gauge theories that arise solely from the structure of the gauge group. These constraints generalize well-known group theory relations, such as U(1) decoupling identities, to all loop orders.
[ { "created": "Sun, 9 Oct 2011 17:10:10 GMT", "version": "v1" }, { "created": "Wed, 19 Oct 2011 19:02:48 GMT", "version": "v2" }, { "created": "Thu, 8 Dec 2011 14:42:15 GMT", "version": "v3" } ]
2015-05-30
[ [ "Naculich", "Stephen G.", "" ] ]
We derive constraints on the color-ordered amplitudes of the L-loop four-point function in SU(N) gauge theories that arise solely from the structure of the gauge group. These constraints generalize well-known group theory relations, such as U(1) decoupling identities, to all loop orders.
10.405433
9.412466
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9.262558
8.496827
9.997771
8.388433
8.795894
9.641126
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8.532037
10.440011
9.388012
8.973682
8.754251
8.505545
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10.7366
9.049678