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hep-th/9601022
Arefeva Irina
I.Ya.Aref'eva
Large $N$ Matrix Models and $q$-Deformed Quantum Field Theories
17 pages, latex. To appear in "From Field Theory to Quantum Groups", World Scientific. Proceedings to honor J.Lukierski in his 60th birthday
null
10.1142/9789812830425_0005
SMI-01-96
hep-th
null
Recently it was shown that an asymptotic behaviour of $SU(N)$ gauge theory for large $N$ is described by q-deformed quantum field. The master fields for large N theories satisfy to standard equations of relativistic field theory but fields satisfy $q$-deformed commutation relations with $q=0$. These commutation relat...
[ { "created": "Sun, 7 Jan 1996 16:04:44 GMT", "version": "v1" } ]
2016-11-03
[ [ "Aref'eva", "I. Ya.", "" ] ]
Recently it was shown that an asymptotic behaviour of $SU(N)$ gauge theory for large $N$ is described by q-deformed quantum field. The master fields for large N theories satisfy to standard equations of relativistic field theory but fields satisfy $q$-deformed commutation relations with $q=0$. These commutation relatio...
1502.07610
Luis Castro B
Luis B. Castro, Antonio S. de Castro and Pedro Alberto
Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
11 pages, 5 figures (Ann. Phys.)
Ann. Phys. (N.Y) 356 (2015) 83
10.1016/j.aop.2015.02.033
null
hep-th math-ph math.MP quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar Coulomb potentials which have equal or opposite signs is investigated. We explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermi...
[ { "created": "Thu, 26 Feb 2015 15:59:22 GMT", "version": "v1" } ]
2015-04-09
[ [ "Castro", "Luis B.", "" ], [ "de Castro", "Antonio S.", "" ], [ "Alberto", "Pedro", "" ] ]
The problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar Coulomb potentials which have equal or opposite signs is investigated. We explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermion...
2303.04479
Tom\'a\v{s} Brauner
Tomas Brauner, Naoki Yamamoto, Ryo Yokokura
Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
32 pages, 2 figures; v2: expanded discussion and updated reference list; v3: minor revision and further update of the reference list
SciPost Phys. 16, 051 (2024)
10.21468/SciPostPhys.16.2.051
KEK-TH-2502
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field conf...
[ { "created": "Wed, 8 Mar 2023 09:59:32 GMT", "version": "v1" }, { "created": "Sat, 28 Oct 2023 20:44:08 GMT", "version": "v2" }, { "created": "Thu, 25 Jan 2024 08:01:19 GMT", "version": "v3" } ]
2024-02-21
[ [ "Brauner", "Tomas", "" ], [ "Yamamoto", "Naoki", "" ], [ "Yokokura", "Ryo", "" ] ]
We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field config...
hep-th/0205018
Tomy Scaria
Tomy Scaria, Biswajit Chakraborty
Wigner's little group as a gauge generator in linearized gravity theories
Latex, 22 pages, no figures, To appear in Class. Quant. Grav
Class.Quant.Grav. 19 (2002) 4445-4462
10.1088/0264-9381/19/16/315
null
hep-th gr-qc
null
We show that the translational subgroup of Wigner's little group for massless particles in 3+1 dimensions generate gauge transformation in linearized Einstein gravity. Similarly a suitable representation of the 1-dimensional translational group T(1) is shown to generate gauge transformation in the linearized Einstein...
[ { "created": "Thu, 2 May 2002 05:08:35 GMT", "version": "v1" }, { "created": "Sat, 13 Jul 2002 06:42:21 GMT", "version": "v2" } ]
2016-09-06
[ [ "Scaria", "Tomy", "" ], [ "Chakraborty", "Biswajit", "" ] ]
We show that the translational subgroup of Wigner's little group for massless particles in 3+1 dimensions generate gauge transformation in linearized Einstein gravity. Similarly a suitable representation of the 1-dimensional translational group T(1) is shown to generate gauge transformation in the linearized Einstein-C...
1009.5414
Archil Kobakhidze
Archil Kobakhidze
Gravity is not an entropic force
5 pages, v2: minor corrections; to be published in Physical Review D
Phys.Rev.D83:021502,2011
10.1103/PhysRevD.83.021502
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We argue that experiments with ultra-cold neutrons in the gravitational field of Earth disprove recent speculations on the entropic origin of gravitation.
[ { "created": "Mon, 27 Sep 2010 23:53:35 GMT", "version": "v1" }, { "created": "Thu, 30 Dec 2010 22:04:57 GMT", "version": "v2" } ]
2011-02-01
[ [ "Kobakhidze", "Archil", "" ] ]
We argue that experiments with ultra-cold neutrons in the gravitational field of Earth disprove recent speculations on the entropic origin of gravitation.
hep-th/9709096
null
Changhyun Ahn, Kyungho Oh, Radu Tatar
M Theory Fivebrane Interpretation for Strong Coupling Dynamics of SO(N_c) Gauge Theories
15 pages, Latex, English corrected, Version to Appear in Physics Letters B
Phys.Lett.B416:75-84,1998
10.1016/S0370-2693(97)01311-7
SNUTP-97-130, UM-TG-201
hep-th
null
We study M theory fivebranes to understand the moduli space of vacua of N=1 supersymmetric SO(N_c) gauge theory with N_f flavors in four dimensions. We discuss how the various branches of this theory arise in the string/M theory brane configurations and compare our results with the ones obtained earlier by Intriligat...
[ { "created": "Mon, 15 Sep 1997 23:53:03 GMT", "version": "v1" }, { "created": "Tue, 16 Sep 1997 01:22:44 GMT", "version": "v2" }, { "created": "Sun, 12 Oct 1997 22:25:45 GMT", "version": "v3" } ]
2014-11-18
[ [ "Ahn", "Changhyun", "" ], [ "Oh", "Kyungho", "" ], [ "Tatar", "Radu", "" ] ]
We study M theory fivebranes to understand the moduli space of vacua of N=1 supersymmetric SO(N_c) gauge theory with N_f flavors in four dimensions. We discuss how the various branches of this theory arise in the string/M theory brane configurations and compare our results with the ones obtained earlier by Intriligator...
hep-th/9607232
Jakub Rembielinski
Jakub Rembielinski (Lodz University, Poland)
Tachyons and the preferred frames
31 pp, LaTeX2e, uses AmS-LaTeX, AmS-symb. To appear in Int. J. Mod. Phys. A. abstract fixed; the paper remains unchanged
Int.J.Mod.Phys. A12 (1997) 1677-1710
10.1142/S0217751X97001122
null
hep-th hep-ph quant-ph
null
Quantum field theory of space-like particles is investigated in the framework of absolute causality scheme preserving Lorentz symmetry. It is related to an appropriate choice of the synchronization procedure (definition of time). In this formulation existence of field excitations (tachyons) distinguishes an inertial ...
[ { "created": "Tue, 30 Jul 1996 22:16:36 GMT", "version": "v1" }, { "created": "Thu, 1 Aug 1996 17:13:10 GMT", "version": "v2" } ]
2009-10-30
[ [ "Rembielinski", "Jakub", "", "Lodz University, Poland" ] ]
Quantum field theory of space-like particles is investigated in the framework of absolute causality scheme preserving Lorentz symmetry. It is related to an appropriate choice of the synchronization procedure (definition of time). In this formulation existence of field excitations (tachyons) distinguishes an inertial fr...
hep-th/9805027
David Daegene Song
David D. Song and Richard J. Szabo (Oxford)
Black String Entropy from Anomalous D-brane Couplings
12 pages, LaTeX; Corrections and clarifying comments added
Eur.Phys.J.C13:641-646,2000
10.1007/s100520050722
OUTP-98-32P
hep-th gr-qc
null
The quantum corrections to the counting of statistical entropy for the 5+1-dimensional extremal black string in type-IIB supergravity with two observers are studied using anomalous Wess-Zumino actions for the corresponding intersecting D-brane description. The electric-magnetic duality symmetry of the anomalous theor...
[ { "created": "Tue, 5 May 1998 22:29:42 GMT", "version": "v1" }, { "created": "Wed, 22 Jul 1998 20:54:26 GMT", "version": "v2" }, { "created": "Wed, 9 Sep 1998 00:08:30 GMT", "version": "v3" } ]
2011-09-13
[ [ "Song", "David D.", "", "Oxford" ], [ "Szabo", "Richard J.", "", "Oxford" ] ]
The quantum corrections to the counting of statistical entropy for the 5+1-dimensional extremal black string in type-IIB supergravity with two observers are studied using anomalous Wess-Zumino actions for the corresponding intersecting D-brane description. The electric-magnetic duality symmetry of the anomalous theory ...
hep-th/9911203
Sheikh-Jabbari Mohammad
M.M. Sheikh-Jabbari
A Note on T-Duality, Open Strings in B-field Background and Canonical Transformations
Tex File, 6 Pages, no figures
Phys.Lett.B474:292-294,2000
10.1016/S0370-2693(00)00030-7
IC/99/179
hep-th
null
In this paper we study T-duality for open strings ending on branes with non-zero B-field on them from the point of view of canonical transformations. For the particular case of type II strings on the two torus we show that the $Sl(2,Z)_N$ transformations can be understood as a sub-class of canonical transformations o...
[ { "created": "Thu, 25 Nov 1999 11:49:36 GMT", "version": "v1" } ]
2009-10-07
[ [ "Sheikh-Jabbari", "M. M.", "" ] ]
In this paper we study T-duality for open strings ending on branes with non-zero B-field on them from the point of view of canonical transformations. For the particular case of type II strings on the two torus we show that the $Sl(2,Z)_N$ transformations can be understood as a sub-class of canonical transformations on ...
hep-th/0412040
James Cline
N. Barnaby, C.P. Burgess, J.M. Cline
Warped Reheating in Brane-Antibrane Inflation
23 pages, 5 figures; new section on tunneling added; fixed typo
JCAP0504:007,2005
10.1088/1475-7516/2005/04/007
null
hep-th hep-ph
null
We examine how reheating occurs after brane-antibrane inflation in warped geometries, such as those which have recently been considered for Type IIB string vacua. We adopt the standard picture that the energy released by brane annihilation is dominantly dumped into massive bulk (closed-string) modes which eventually ...
[ { "created": "Fri, 3 Dec 2004 16:06:46 GMT", "version": "v1" }, { "created": "Wed, 8 Jun 2005 03:41:46 GMT", "version": "v2" }, { "created": "Wed, 15 Jun 2005 11:36:38 GMT", "version": "v3" } ]
2008-11-26
[ [ "Barnaby", "N.", "" ], [ "Burgess", "C. P.", "" ], [ "Cline", "J. M.", "" ] ]
We examine how reheating occurs after brane-antibrane inflation in warped geometries, such as those which have recently been considered for Type IIB string vacua. We adopt the standard picture that the energy released by brane annihilation is dominantly dumped into massive bulk (closed-string) modes which eventually ca...
1410.8148
Jos\'e Alejandro Rosabal Rodr\'iguez
J.A. Rosabal
On the exceptional generalised Lie derivative for $d\geq7$
Version accepted to JHEP
null
10.1007/JHEP09(2015)153
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we revisit the $E_8\times\mathbb{R}^{+}$ generalised Lie derivative encoding the algebra of diffeomorphisms and gauge transformations of compactifications of M-theory on eight-dimensional manifolds, by extending certain features of the $E_7\times\mathbb{R}^{+}$ one. Compared to its $E_d\times\mathbb{R}^{...
[ { "created": "Wed, 29 Oct 2014 20:04:11 GMT", "version": "v1" }, { "created": "Wed, 16 Sep 2015 19:09:28 GMT", "version": "v2" } ]
2015-10-28
[ [ "Rosabal", "J. A.", "" ] ]
In this work we revisit the $E_8\times\mathbb{R}^{+}$ generalised Lie derivative encoding the algebra of diffeomorphisms and gauge transformations of compactifications of M-theory on eight-dimensional manifolds, by extending certain features of the $E_7\times\mathbb{R}^{+}$ one. Compared to its $E_d\times\mathbb{R}^{+}...
hep-th/9507084
Ilinski Kirill N.
A.V.Ilinskaia and K.N.Ilinski
Generalization of Agranovich-Toshich transformation and constraint free bosonic representation for systems of truncated oscillators
latex, 8 pages, no figures
J.Phys. A29 (1996) L23-L30
10.1088/0305-4470/29/2/001
TPBU-95-7
hep-th cond-mat
null
The generalization of Agranovich-Toshich representation of paulion operators in terms of bosonic ones for the case of truncated oscillators of higher ranks is represented. We use this generalization to introduce a new constraint free bosonic description of truncated oscillator systems. The corresponding functional in...
[ { "created": "Sun, 16 Jul 1995 10:49:43 GMT", "version": "v1" } ]
2009-10-28
[ [ "Ilinskaia", "A. V.", "" ], [ "Ilinski", "K. N.", "" ] ]
The generalization of Agranovich-Toshich representation of paulion operators in terms of bosonic ones for the case of truncated oscillators of higher ranks is represented. We use this generalization to introduce a new constraint free bosonic description of truncated oscillator systems. The corresponding functional inte...
hep-th/0004183
Chong-Sun Chu
Chong-Sun Chu, Rodolfo Russo, Stefano Sciuto
Multiloop String Amplitudes with B-Field and Noncommutative QFT
Latex. 27 pages. 9 figures v2: typos corrected, references added; v3: ref. added, version to appear in NPB
Nucl.Phys.B585:193-218,2000
10.1016/S0550-3213(00)00388-6
null
hep-th
null
The multiloop amplitudes for the bosonic string in presence of a constant B-field are built by using the basic commutation relations for the open string zero modes and oscillators. The open string Green function on the annulus is obtained from the one loop scattering amplitude among N tachyons. For higher loops, it i...
[ { "created": "Wed, 26 Apr 2000 18:33:58 GMT", "version": "v1" }, { "created": "Fri, 5 May 2000 17:30:52 GMT", "version": "v2" }, { "created": "Mon, 24 Jul 2000 14:19:57 GMT", "version": "v3" } ]
2011-07-19
[ [ "Chu", "Chong-Sun", "" ], [ "Russo", "Rodolfo", "" ], [ "Sciuto", "Stefano", "" ] ]
The multiloop amplitudes for the bosonic string in presence of a constant B-field are built by using the basic commutation relations for the open string zero modes and oscillators. The open string Green function on the annulus is obtained from the one loop scattering amplitude among N tachyons. For higher loops, it is ...
1609.04351
Sang-A Park
Seungjoon Hyun, Sang-A Park, Sang-Heon Yi
Revisit to Thermodynamic Relations in the AdS/CMT Models
1+18 pages, plain LaTeX; v2 typo fixed and references added; v3 version to appear in PRD
Phys. Rev. D 95, 066012 (2017)
10.1103/PhysRevD.95.066012
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by the recent unified approach to the Smarr-like relation of AdS planar black holes in conjunction with the quasi-local formalism on conserved charges, we revisit the quantum statistical and thermodynamic relations of hairy AdS planar black holes. By extending the previous results, we identify the hairy con...
[ { "created": "Wed, 14 Sep 2016 17:14:30 GMT", "version": "v1" }, { "created": "Thu, 22 Sep 2016 08:26:05 GMT", "version": "v2" }, { "created": "Fri, 3 Mar 2017 06:07:26 GMT", "version": "v3" } ]
2017-03-29
[ [ "Hyun", "Seungjoon", "" ], [ "Park", "Sang-A", "" ], [ "Yi", "Sang-Heon", "" ] ]
Motivated by the recent unified approach to the Smarr-like relation of AdS planar black holes in conjunction with the quasi-local formalism on conserved charges, we revisit the quantum statistical and thermodynamic relations of hairy AdS planar black holes. By extending the previous results, we identify the hairy contr...
2403.05875
Long Zhao
Song He, Pak Hang Chris Lau, Long Zhao
Detecting quantum chaos via pseudo-entropy and negativity
31 pages, 12 figures
null
null
null
hep-th cond-mat.dis-nn
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quantum informatic quantities such as entanglement entropy are useful in detecting quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy was proposed which is a generalization of the more well-known entanglement entropy. It has many nice properties and is useful in the study of post-se...
[ { "created": "Sat, 9 Mar 2024 10:57:13 GMT", "version": "v1" } ]
2024-03-12
[ [ "He", "Song", "" ], [ "Lau", "Pak Hang Chris", "" ], [ "Zhao", "Long", "" ] ]
Quantum informatic quantities such as entanglement entropy are useful in detecting quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy was proposed which is a generalization of the more well-known entanglement entropy. It has many nice properties and is useful in the study of post-sele...
2004.14387
Pavel Putrov
Atish Dabholkar, Pavel Putrov, Edward Witten
Duality and Mock Modularity
50 pages, 1 figure; v2: misprints corrected, clarifications added in Section 5.1; v3: minor clarifications added
SciPost Phys. 9, 072 (2020)
10.21468/SciPostPhys.9.5.072
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on the Coulomb branch. The holomorphic kernel of this equation, which re...
[ { "created": "Wed, 29 Apr 2020 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 16 Jun 2020 17:41:37 GMT", "version": "v2" }, { "created": "Tue, 20 Oct 2020 10:40:36 GMT", "version": "v3" } ]
2020-11-18
[ [ "Dabholkar", "Atish", "" ], [ "Putrov", "Pavel", "" ], [ "Witten", "Edward", "" ] ]
We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on the Coulomb branch. The holomorphic kernel of this equation, which rece...
1505.05092
Blaise Gout\'eraux
Richard A. Davison and Blaise Gout\'eraux
Dissecting holographic conductivities
v2: minor edits, matches published version. v1: 26 pages, 1 figure
JHEP 1509 (2015) 090
10.1007/JHEP09(2015)090
SU-ITP-15/12
hep-th cond-mat.str-el gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent conductivities to the first subleading order in the momentum relaxation rate, we give a phy...
[ { "created": "Tue, 19 May 2015 17:25:00 GMT", "version": "v1" }, { "created": "Tue, 15 Sep 2015 16:58:26 GMT", "version": "v2" } ]
2015-09-24
[ [ "Davison", "Richard A.", "" ], [ "Goutéraux", "Blaise", "" ] ]
The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent conductivities to the first subleading order in the momentum relaxation rate, we give a physi...
0706.0744
Thomas Quella
Thomas Quella, Volker Schomerus
Free fermion resolution of supergroup WZNW models
47 pages
JHEP 0709:085,2007
10.1088/1126-6708/2007/09/085
DESY 07-074, KCL-MTH-07-06, NSF-KITP-07-128
hep-th cond-mat.stat-mech math-ph math.MP math.QA math.RT
null
Extending our earlier work on PSL(2|2), we explain how to reduce the solution of WZNW models on general type I supergroups to those defined on the bosonic subgroup. The new analysis covers in particular the supergroups GL(M|N) along with several close relatives such as PSL(N|N), certain Poincare supergroups and the s...
[ { "created": "Wed, 6 Jun 2007 13:28:04 GMT", "version": "v1" } ]
2009-04-17
[ [ "Quella", "Thomas", "" ], [ "Schomerus", "Volker", "" ] ]
Extending our earlier work on PSL(2|2), we explain how to reduce the solution of WZNW models on general type I supergroups to those defined on the bosonic subgroup. The new analysis covers in particular the supergroups GL(M|N) along with several close relatives such as PSL(N|N), certain Poincare supergroups and the ser...
2405.09614
Borna Salehian
Paolo Creminelli, Oliver Janssen, Borna Salehian, Leonardo Senatore
Positivity bounds on electromagnetic properties of media
27 pages + appendices, 7 figures
null
null
null
hep-th cond-mat.stat-mech cond-mat.str-el
http://creativecommons.org/licenses/by/4.0/
We study the constraints imposed on the electromagnetic response of general media by microcausality (commutators of local fields vanish outside the light cone) and positivity of the imaginary parts (the medium can only absorb energy from the external field). The equations of motion for the average electromagnetic fie...
[ { "created": "Wed, 15 May 2024 18:00:02 GMT", "version": "v1" } ]
2024-05-17
[ [ "Creminelli", "Paolo", "" ], [ "Janssen", "Oliver", "" ], [ "Salehian", "Borna", "" ], [ "Senatore", "Leonardo", "" ] ]
We study the constraints imposed on the electromagnetic response of general media by microcausality (commutators of local fields vanish outside the light cone) and positivity of the imaginary parts (the medium can only absorb energy from the external field). The equations of motion for the average electromagnetic field...
1901.09872
Marco Garofalo
Stefano Capitani, Petros Dimopoulos, Roberto Frezzotti, Marco Garofalo, Bartosz Kostrzewa, Ferenc Pittler, Giancarlo Rossi, Carsten Urbach
Dynamical Generation of Elementary Fermion Mass: First Lattice Evidence
24 pages, 17 figures
Phys. Rev. Lett. 123, 061802 (2019)
10.1103/PhysRevLett.123.061802
null
hep-th hep-lat hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using lattice simulations we demonstrate from first principles the existence of a non-perturbative mechanism for elementary particle mass generation in models with gauge fields, fermions and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are m...
[ { "created": "Mon, 28 Jan 2019 18:26:44 GMT", "version": "v1" }, { "created": "Tue, 27 Aug 2019 15:06:20 GMT", "version": "v2" } ]
2019-08-28
[ [ "Capitani", "Stefano", "" ], [ "Dimopoulos", "Petros", "" ], [ "Frezzotti", "Roberto", "" ], [ "Garofalo", "Marco", "" ], [ "Kostrzewa", "Bartosz", "" ], [ "Pittler", "Ferenc", "" ], [ "Rossi", "Giancarlo", ...
Using lattice simulations we demonstrate from first principles the existence of a non-perturbative mechanism for elementary particle mass generation in models with gauge fields, fermions and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are max...
hep-th/0702012
Xi Yin
Davide Gaiotto, Xi Yin
Examples of M5-Brane Elliptic Genera
13 pages
JHEP 0711:004,2007
10.1088/1126-6708/2007/11/004
null
hep-th
null
We determine the modified elliptic genus of an M5-brane wrapped on various one modulus Calabi-Yau spaces, using modular invariance together with some known Gopakumar-Vafa invariants of small degrees. As a bonus, we find nontrivial relations among Gopakumar-Vafa invariants of different degrees and genera from modular ...
[ { "created": "Thu, 1 Feb 2007 20:49:01 GMT", "version": "v1" } ]
2009-04-22
[ [ "Gaiotto", "Davide", "" ], [ "Yin", "Xi", "" ] ]
We determine the modified elliptic genus of an M5-brane wrapped on various one modulus Calabi-Yau spaces, using modular invariance together with some known Gopakumar-Vafa invariants of small degrees. As a bonus, we find nontrivial relations among Gopakumar-Vafa invariants of different degrees and genera from modular in...
2404.15077
Robert Saskowski
Evan Deddo, James T. Liu, Leopoldo A. Pando Zayas, Robert J. Saskowski
Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
27 pages, 3 figures; references added
null
null
LCTP-24-07
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We revisit the existence of monotonic quantities along renormalization group flows using only the Null Energy Condition and the Ryu-Takayanagi formula for the entanglement entropy of field theories with anti-de Sitter gravity duals. In particular, we consider flows within the same dimension and holographically reprov...
[ { "created": "Tue, 23 Apr 2024 14:25:39 GMT", "version": "v1" }, { "created": "Fri, 24 May 2024 14:20:17 GMT", "version": "v2" } ]
2024-05-27
[ [ "Deddo", "Evan", "" ], [ "Liu", "James T.", "" ], [ "Zayas", "Leopoldo A. Pando", "" ], [ "Saskowski", "Robert J.", "" ] ]
We revisit the existence of monotonic quantities along renormalization group flows using only the Null Energy Condition and the Ryu-Takayanagi formula for the entanglement entropy of field theories with anti-de Sitter gravity duals. In particular, we consider flows within the same dimension and holographically reprove ...
2403.00073
Florian Ecker
Ankit Aggarwal, Florian Ecker, Daniel Grumiller, Dmitri Vassilevich
Carroll Hawking effect
5 pages, v2: added refs
null
null
TUW-24-02
hep-th
http://creativecommons.org/licenses/by/4.0/
Carroll black holes with an associated Carroll temperature were introduced recently. So far, it is unclear if they exhibit a Hawking-like effect. To solve this, we study scalar fields on Carroll black hole backgrounds. Inspired by anomaly methods, we derive a Hawking-like energy-momentum tensor compatible with the Ca...
[ { "created": "Thu, 29 Feb 2024 19:02:56 GMT", "version": "v1" }, { "created": "Wed, 13 Mar 2024 20:43:47 GMT", "version": "v2" } ]
2024-03-15
[ [ "Aggarwal", "Ankit", "" ], [ "Ecker", "Florian", "" ], [ "Grumiller", "Daniel", "" ], [ "Vassilevich", "Dmitri", "" ] ]
Carroll black holes with an associated Carroll temperature were introduced recently. So far, it is unclear if they exhibit a Hawking-like effect. To solve this, we study scalar fields on Carroll black hole backgrounds. Inspired by anomaly methods, we derive a Hawking-like energy-momentum tensor compatible with the Carr...
2305.15440
Joel Karlsson
Thomas Hertog, Oliver Janssen and Joel Karlsson
The Kontsevich-Segal Criterion in the No-Boundary State Constrains Inflation
Dedicated to the memory of Jim Hartle
Phys. Rev. Lett. 131, 191501 (2023)
10.1103/PhysRevLett.131.191501
null
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
We show that the Kontsevich-Segal (KS) criterion, applied to the complex saddles that specify the semiclassical no-boundary wave function, acts as a selection mechanism on inflationary scalar field potentials. Completing the observable phase of slow-roll inflation with a no-boundary origin, the KS criterion effective...
[ { "created": "Tue, 23 May 2023 20:03:34 GMT", "version": "v1" }, { "created": "Thu, 9 Nov 2023 18:54:34 GMT", "version": "v2" } ]
2023-11-10
[ [ "Hertog", "Thomas", "" ], [ "Janssen", "Oliver", "" ], [ "Karlsson", "Joel", "" ] ]
We show that the Kontsevich-Segal (KS) criterion, applied to the complex saddles that specify the semiclassical no-boundary wave function, acts as a selection mechanism on inflationary scalar field potentials. Completing the observable phase of slow-roll inflation with a no-boundary origin, the KS criterion effectively...
2207.02172
Nicol\`o Petri
Giuseppe Dibitetto, Nicol\`o Petri
Searching for Coleman-de Luccia bubbles in AdS compactifications
29 pages, 6 figures, 1 appendix. v2: Added references
null
10.1103/PhysRevD.107.046020
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Coleman-de Luccia transitions are spontaneous processes of nucleation of bubbles within metastable gravitational vacua including in their interior a true stable vacuum. From the perspective of lower-dimensional gauged supergravities obtained by truncating Type II and M-theory, these instantonic processes are represen...
[ { "created": "Tue, 5 Jul 2022 17:00:31 GMT", "version": "v1" }, { "created": "Mon, 16 Jan 2023 14:15:48 GMT", "version": "v2" } ]
2023-03-08
[ [ "Dibitetto", "Giuseppe", "" ], [ "Petri", "Nicolò", "" ] ]
Coleman-de Luccia transitions are spontaneous processes of nucleation of bubbles within metastable gravitational vacua including in their interior a true stable vacuum. From the perspective of lower-dimensional gauged supergravities obtained by truncating Type II and M-theory, these instantonic processes are represente...
hep-th/0212268
Daniel Friedan
Daniel Friedan
Two talks on a tentative theory of large distance physics
21 pages, 4 figures, Latex, Talks given at the Cargese 2002 summer school
null
null
RUNHETC-2002-51
hep-th
null
These talks present an overview of a tentative theory of large distance physics. For each large distance L (in dimensionless units), the theory gives two complementary descriptions of spacetime physics: quantum field theory at distances larger than L, string scattering amplitudes at distances smaller than L. The mech...
[ { "created": "Fri, 20 Dec 2002 20:53:04 GMT", "version": "v1" } ]
2007-05-23
[ [ "Friedan", "Daniel", "" ] ]
These talks present an overview of a tentative theory of large distance physics. For each large distance L (in dimensionless units), the theory gives two complementary descriptions of spacetime physics: quantum field theory at distances larger than L, string scattering amplitudes at distances smaller than L. The mechan...
hep-th/0703009
Olaf Lechtenfeld
Johannes Broedel, Tatiana A. Ivanova, Olaf Lechtenfeld
Construction of Noncommutative Instantons in 4k Dimensions
1+9 pages
Mod.Phys.Lett.A23:179-189,2008
10.1142/S0217732308026261
null
hep-th
null
We consider generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in t...
[ { "created": "Thu, 1 Mar 2007 16:41:07 GMT", "version": "v1" } ]
2008-11-26
[ [ "Broedel", "Johannes", "" ], [ "Ivanova", "Tatiana A.", "" ], [ "Lechtenfeld", "Olaf", "" ] ]
We consider generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the...
2208.06069
Andjelo Samsarov
Marija Dimitrijevi\'c \'Ciri\'c, Nikola Konjik, Andjelo Samsarov
Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
19 pages, no figures; revtex4; references and appendix added, version to appear in EPJC
Eur. Phys. J. C 83 (2023) 387
10.1140/epjc/s10052-023-11540-9
ZTF-EP-21-07, RBI-ThPhys-2021-41
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
Some noncommutative (NC) theories posses a certain type of dualities that are implicitly built within their structure. In this paper we establish still another example of this kind. More precisely, we show that the noncommutative U(1) gauge theory coupled to a NC scalar field and to a classical geometry of the Reissn...
[ { "created": "Fri, 12 Aug 2022 00:07:57 GMT", "version": "v1" }, { "created": "Mon, 15 May 2023 20:51:06 GMT", "version": "v2" } ]
2023-05-17
[ [ "Ćirić", "Marija Dimitrijević", "" ], [ "Konjik", "Nikola", "" ], [ "Samsarov", "Andjelo", "" ] ]
Some noncommutative (NC) theories posses a certain type of dualities that are implicitly built within their structure. In this paper we establish still another example of this kind. More precisely, we show that the noncommutative U(1) gauge theory coupled to a NC scalar field and to a classical geometry of the Reissner...
1401.0261
Bin Chen
Bin Chen, Feng-yan Song and Jia-ju Zhang
Holographic R\'enyi entropy in AdS$_3$/LCFT$_2$ correspondence
28 pages. Typos corrected, published version
JHEP 1403 (2014) 137
10.1007/JHEP03(2014)137
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit. This allows the R\'enyi entanglement entropy to be a new window to study the AdS...
[ { "created": "Wed, 1 Jan 2014 07:18:51 GMT", "version": "v1" }, { "created": "Sun, 6 Apr 2014 10:25:37 GMT", "version": "v2" } ]
2015-04-29
[ [ "Chen", "Bin", "" ], [ "Song", "Feng-yan", "" ], [ "Zhang", "Jia-ju", "" ] ]
The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit. This allows the R\'enyi entanglement entropy to be a new window to study the AdS/C...
hep-th/0105205
David A. Lowe
Gian Luigi Alberghi, Elena Caceres, Kevin Goldstein and David A. Lowe
Stacking non-BPS D-Branes
10 pages, revtex
Phys.Lett.B520:361-366,2001
10.1016/S0370-2693(01)01138-8
BROWN-HET-1263, IC/2001/27
hep-th
null
We present a candidate supergravity solution for a stacked configuration of stable non-BPS D-branes in Type II string theory compactified on T^4/Z_2. This gives a supergravity description of nonabelian tachyon condensation on the brane worldvolume.
[ { "created": "Mon, 21 May 2001 16:00:30 GMT", "version": "v1" }, { "created": "Wed, 18 Jul 2001 03:12:14 GMT", "version": "v2" } ]
2014-11-18
[ [ "Alberghi", "Gian Luigi", "" ], [ "Caceres", "Elena", "" ], [ "Goldstein", "Kevin", "" ], [ "Lowe", "David A.", "" ] ]
We present a candidate supergravity solution for a stacked configuration of stable non-BPS D-branes in Type II string theory compactified on T^4/Z_2. This gives a supergravity description of nonabelian tachyon condensation on the brane worldvolume.
hep-th/0503220
Jorge Zanelli
Mokhtar Hassaine, Ricardo Troncoso, and Jorge Zanelli
11D Supergravity as a gauge theory for the M-algebra
Lecture given at the Fourth International Winter Conference on Mathematical Methods in Physics, 09 - 13 August 2004, CBPF, Rio de Janeiro, Brazil. 10 pages, no figures
PoS WC2004 (2005) 006
null
CECS-PHY-05/06
hep-th
null
The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads, through the Noether procedure, to a theory with the local symmetry group given ...
[ { "created": "Mon, 28 Mar 2005 21:13:48 GMT", "version": "v1" } ]
2007-05-23
[ [ "Hassaine", "Mokhtar", "" ], [ "Troncoso", "Ricardo", "" ], [ "Zanelli", "Jorge", "" ] ]
The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads, through the Noether procedure, to a theory with the local symmetry group given by...
hep-th/9703026
Vladimir Bazhanov
R.M. Ellem, V.V. Bazhanov
Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model
22 pages, minor changes, references added. LaTeX file and postscript figure
Nucl.Phys.B512:563-580,1998
10.1016/S0550-3213(97)00748-7
null
hep-th
null
We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising model) by the operator $\phi_{2,1}$. This operator has conformal dimensions $(7/1...
[ { "created": "Tue, 4 Mar 1997 15:15:00 GMT", "version": "v1" }, { "created": "Wed, 5 Mar 1997 01:34:48 GMT", "version": "v2" }, { "created": "Thu, 10 Jul 1997 10:04:21 GMT", "version": "v3" } ]
2011-02-11
[ [ "Ellem", "R. M.", "" ], [ "Bazhanov", "V. V.", "" ] ]
We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising model) by the operator $\phi_{2,1}$. This operator has conformal dimensions $(7/16,...
hep-th/9912194
Vladimir Dzhunushaliev
V. Dzhunushaliev and D. Singleton
Quantization of classical singular solutions in Yang-Mills theory
18 pgs, REVTEX
Nuovo Cim.B117:137-154,2002
null
null
hep-th hep-ph
null
In this paper we apply a variant of Heisenberg's quantization method for strongly interacting, non-linear fields, to solutions of the classical Yang-Mills field equations which have bad asymptotic behavior. After quantization we find that the bad features (i.e. divergent fields and energy densities) of these solution...
[ { "created": "Tue, 21 Dec 1999 10:04:31 GMT", "version": "v1" } ]
2010-11-11
[ [ "Dzhunushaliev", "V.", "" ], [ "Singleton", "D.", "" ] ]
In this paper we apply a variant of Heisenberg's quantization method for strongly interacting, non-linear fields, to solutions of the classical Yang-Mills field equations which have bad asymptotic behavior. After quantization we find that the bad features (i.e. divergent fields and energy densities) of these solutions ...
hep-th/9606088
null
L. Faddeev, A. Yu. Volkov
Shift Operator for Nonabelian Lattice Current Algebra
11 pages, LATEX
Publ.Res.Inst.Math.Sci.Kyoto 40 (2004) 1113-1125
null
null
hep-th
null
The shift operator for a quantum lattice current algebra associated with sl(2) is produced in the form of product of local factors. This gives a natural deformation of the Sugawara construction for discrete space-time.
[ { "created": "Fri, 14 Jun 1996 17:44:11 GMT", "version": "v1" } ]
2007-05-23
[ [ "Faddeev", "L.", "" ], [ "Volkov", "A. Yu.", "" ] ]
The shift operator for a quantum lattice current algebra associated with sl(2) is produced in the form of product of local factors. This gives a natural deformation of the Sugawara construction for discrete space-time.
hep-th/0312063
Klaus Behrndt
Klaus Behrndt and Swapna Mahapatra
De Sitter vacua from N=2 gauged supergravity
25 pages, 1 figure, add refs and corrected typos
JHEP 0401 (2004) 068
10.1088/1126-6708/2004/01/068
null
hep-th
null
Typical de Sitter (dS) vacua of gauged supergravity correspond to saddle points of the potential and often the unstable mode runs into a singularity. We explore the possibility to obtain dS points where the unstable mode goes on both sides into a supersymmetric smooth vacuum. Within N=2 gauged supergravity coupled to...
[ { "created": "Fri, 5 Dec 2003 12:45:32 GMT", "version": "v1" }, { "created": "Fri, 19 Dec 2003 12:34:05 GMT", "version": "v2" } ]
2009-11-10
[ [ "Behrndt", "Klaus", "" ], [ "Mahapatra", "Swapna", "" ] ]
Typical de Sitter (dS) vacua of gauged supergravity correspond to saddle points of the potential and often the unstable mode runs into a singularity. We explore the possibility to obtain dS points where the unstable mode goes on both sides into a supersymmetric smooth vacuum. Within N=2 gauged supergravity coupled to t...
1006.5714
Antonio Amariti
A. Amariti, D. Forcella, A. Mariotti, G. Policastro
Holographic Optics and Negative Refractive Index
20+1 pages, 7 figures
JHEP 1104:036,2011
10.1007/JHEP04(2011)036
null
hep-th cond-mat.other physics.flu-dyn physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In recent years a very exciting and intense activity has been devoted to the understanding and construction of materials that enjoy exotic optical properties, such as a negative refractive index. Motivated by these experimental and theoretical developments, we use the string-inspired idea of holography to study the e...
[ { "created": "Tue, 29 Jun 2010 20:02:33 GMT", "version": "v1" } ]
2011-04-20
[ [ "Amariti", "A.", "" ], [ "Forcella", "D.", "" ], [ "Mariotti", "A.", "" ], [ "Policastro", "G.", "" ] ]
In recent years a very exciting and intense activity has been devoted to the understanding and construction of materials that enjoy exotic optical properties, such as a negative refractive index. Motivated by these experimental and theoretical developments, we use the string-inspired idea of holography to study the ele...
1610.06693
Guillaume Bossard
Guillaume Bossard and Boris Pioline
Exact $\nabla^4 R^4$ couplings and helicity supertraces
40 pages
JHEP 1701 (2017) 050
10.1007/JHEP01(2017)050
CERN-TH-2016-224, CPHT-RR046.102016
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In type II string theory compactified on a $d$-dimensional torus $T^d$ down to $D=10-d$ dimensions, the $R^4$ and $\nabla^4 R^4$ four-graviton couplings are known exactly, for all values of the moduli, in terms of certain Eisenstein series of the U-duality group $E_{d}(\mathbb{Z})$. In the limit where one circle in t...
[ { "created": "Fri, 21 Oct 2016 07:46:57 GMT", "version": "v1" } ]
2018-01-22
[ [ "Bossard", "Guillaume", "" ], [ "Pioline", "Boris", "" ] ]
In type II string theory compactified on a $d$-dimensional torus $T^d$ down to $D=10-d$ dimensions, the $R^4$ and $\nabla^4 R^4$ four-graviton couplings are known exactly, for all values of the moduli, in terms of certain Eisenstein series of the U-duality group $E_{d}(\mathbb{Z})$. In the limit where one circle in the...
2209.11565
Yuri Markov Adolfovich
Yu.A. Markov, M.A. Markova, A.I. Bondarenko, N.Yu. Markov
Superparticle in an external chiral matter superfield
24 pages
null
null
null
hep-th
http://creativecommons.org/licenses/by/4.0/
In this paper the interaction Lagrangian of a superparticle with an external chiral superfield $\Phi(x,\theta,\bar{\theta})$,invariant with respect to the global supersymmetry, is proposed. The kinematics of the superparticle is defined in an extended superspace described by superspace coordinates $(x_{\mu},\theta_{\...
[ { "created": "Fri, 23 Sep 2022 12:44:25 GMT", "version": "v1" } ]
2022-09-26
[ [ "Markov", "Yu. A.", "" ], [ "Markova", "M. A.", "" ], [ "Bondarenko", "A. I.", "" ], [ "Markov", "N. Yu.", "" ] ]
In this paper the interaction Lagrangian of a superparticle with an external chiral superfield $\Phi(x,\theta,\bar{\theta})$,invariant with respect to the global supersymmetry, is proposed. The kinematics of the superparticle is defined in an extended superspace described by superspace coordinates $(x_{\mu},\theta_{\al...
2011.09188
Jerzy Kowalski-Glikman
Michele Arzano, Andrea Bevilacqua, Jerzy Kowalski-Glikman, Giacomo Rosati, and Josua Unger
$\kappa$-deformed complex fields and discrete symmetries
Coincides with the published version
Phys. Rev. D 103, 106015 (2021)
10.1103/PhysRevD.103.106015
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a construction of $\kappa$-deformed complex scalar field theory with the objective of shedding light on the way discrete symmetries and CPT invariance are affected by the deformation. Our starting point is the observation that, in order to have an appropriate action of Lorentz symmetries on antiparticle st...
[ { "created": "Wed, 18 Nov 2020 10:22:20 GMT", "version": "v1" }, { "created": "Sun, 30 May 2021 07:36:33 GMT", "version": "v2" } ]
2021-06-01
[ [ "Arzano", "Michele", "" ], [ "Bevilacqua", "Andrea", "" ], [ "Kowalski-Glikman", "Jerzy", "" ], [ "Rosati", "Giacomo", "" ], [ "Unger", "Josua", "" ] ]
We present a construction of $\kappa$-deformed complex scalar field theory with the objective of shedding light on the way discrete symmetries and CPT invariance are affected by the deformation. Our starting point is the observation that, in order to have an appropriate action of Lorentz symmetries on antiparticle stat...
hep-th/0405118
Christopher Herzog
Christopher P. Herzog
Seiberg Duality is an Exceptional Mutation
32 pages, 4 figures; v2 refs added, "orbifold point" discussion refined; v3 version to appear in JHEP, discussion of torsion sheaves improved
JHEP0408:064,2004
10.1088/1126-6708/2004/08/064
null
hep-th
null
The low energy gauge theory living on D-branes probing a del Pezzo singularity of a non-compact Calabi-Yau manifold is not unique. In fact there is a large equivalence class of such gauge theories related by Seiberg duality. As a step toward characterizing this class, we show that Seiberg duality can be defined consi...
[ { "created": "Thu, 13 May 2004 00:02:06 GMT", "version": "v1" }, { "created": "Mon, 24 May 2004 23:12:38 GMT", "version": "v2" }, { "created": "Thu, 2 Sep 2004 05:51:21 GMT", "version": "v3" } ]
2008-11-26
[ [ "Herzog", "Christopher P.", "" ] ]
The low energy gauge theory living on D-branes probing a del Pezzo singularity of a non-compact Calabi-Yau manifold is not unique. In fact there is a large equivalence class of such gauge theories related by Seiberg duality. As a step toward characterizing this class, we show that Seiberg duality can be defined consist...
hep-th/9908160
D'Hoker Eric
E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis, L. Rastelli
Extremal Correlators in the AdS/CFT Correspondence
26 pages, LateX, no figures
null
10.1142/9789812793850_0020
UCLA/99/TEP/27, MIT-CTP-2893
hep-th
null
The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle appears in the extremal case, e.g. k_1 = k_2 + k_3. First, the supergravity calc...
[ { "created": "Tue, 24 Aug 1999 23:28:30 GMT", "version": "v1" } ]
2016-11-23
[ [ "D'Hoker", "E.", "" ], [ "Freedman", "D. Z.", "" ], [ "Mathur", "S. D.", "" ], [ "Matusis", "A.", "" ], [ "Rastelli", "L.", "" ] ]
The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle appears in the extremal case, e.g. k_1 = k_2 + k_3. First, the supergravity calcul...
hep-th/0205151
Annamaria Sinkovics
Nick Dorey and Annamaria Sinkovics
N=1* vacua, Fuzzy Spheres and Integrable Systems
20 pages
JHEP 0207 (2002) 032
10.1088/1126-6708/2002/07/032
SWAT-339
hep-th
null
We calculate the exact eigenvalues of the adjoint scalar fields in the massive vacua of N=1* SUSY Yang-Mills with gauge group SU(N). This provides a field theory prediction for the distribution of D3 brane charge in the AdS dual. We verify the proposal of Polchinski and Strassler that the D3-brane's lie on a fuzzy sp...
[ { "created": "Wed, 15 May 2002 14:30:12 GMT", "version": "v1" } ]
2009-11-07
[ [ "Dorey", "Nick", "" ], [ "Sinkovics", "Annamaria", "" ] ]
We calculate the exact eigenvalues of the adjoint scalar fields in the massive vacua of N=1* SUSY Yang-Mills with gauge group SU(N). This provides a field theory prediction for the distribution of D3 brane charge in the AdS dual. We verify the proposal of Polchinski and Strassler that the D3-brane's lie on a fuzzy sphe...
1706.04406
Dionisio Bazeia
D. Bazeia, A. Mohammadi, D.C. Moreira
Fermion bound states in geometrically deformed backgrounds
8 pages, 12 figures; text and new references added
Chinese Physics C 43 (2019) 013101
10.1088/1674-1137/43/1/013101
null
hep-th cond-mat.mes-hall hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the fermion fields via the standard Yukawa coupling. We first consider two models t...
[ { "created": "Wed, 14 Jun 2017 11:08:58 GMT", "version": "v1" }, { "created": "Fri, 16 Jun 2017 17:24:14 GMT", "version": "v2" }, { "created": "Mon, 19 Mar 2018 13:41:42 GMT", "version": "v3" } ]
2019-01-08
[ [ "Bazeia", "D.", "" ], [ "Mohammadi", "A.", "" ], [ "Moreira", "D. C.", "" ] ]
This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the fermion fields via the standard Yukawa coupling. We first consider two models tha...
1004.4597
Maxim Konyushikhin
Evgeny Ivanov, Maxim Konyushikhin
N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background
16 pages, reference added, published version
Phys.Rev.D82:085014,2010
10.1103/PhysRevD.82.085014
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using the harmonic superspace approach, we construct the three-dimensional N=4 supersymmetric quantum mechanics of the supermultiplet (3,4,1) coupled to an external SU(2) gauge field. The off-shell N=4 supersymmetry requires the gauge field to be a static form of the 't Hooft ansatz for the 4D self-dual SU(2) gauge f...
[ { "created": "Mon, 26 Apr 2010 18:32:41 GMT", "version": "v1" }, { "created": "Fri, 24 Sep 2010 14:53:14 GMT", "version": "v2" }, { "created": "Wed, 15 Dec 2010 15:59:53 GMT", "version": "v3" } ]
2010-12-16
[ [ "Ivanov", "Evgeny", "" ], [ "Konyushikhin", "Maxim", "" ] ]
Using the harmonic superspace approach, we construct the three-dimensional N=4 supersymmetric quantum mechanics of the supermultiplet (3,4,1) coupled to an external SU(2) gauge field. The off-shell N=4 supersymmetry requires the gauge field to be a static form of the 't Hooft ansatz for the 4D self-dual SU(2) gauge fie...
1403.1595
Daniel Park
Michael R. Douglas, Daniel S. Park and Christian Schnell
The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
33 pages + appendices, 5 figures; v2: minor corrections, reference added
null
10.1007/JHEP05(2014)135
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is well understood --- through string dualities --- that there are 20 massless vector fields in the spectrum of eight-dimensional F-theory compactifications on smooth elliptically fibered K3 surfaces at a generic point in the K3 moduli space. Such F-theory vacua, which do not have any enhanced gauge symmetries, ca...
[ { "created": "Thu, 6 Mar 2014 21:33:27 GMT", "version": "v1" }, { "created": "Fri, 21 Oct 2016 14:50:56 GMT", "version": "v2" } ]
2016-10-24
[ [ "Douglas", "Michael R.", "" ], [ "Park", "Daniel S.", "" ], [ "Schnell", "Christian", "" ] ]
It is well understood --- through string dualities --- that there are 20 massless vector fields in the spectrum of eight-dimensional F-theory compactifications on smooth elliptically fibered K3 surfaces at a generic point in the K3 moduli space. Such F-theory vacua, which do not have any enhanced gauge symmetries, can ...
hep-th/0504120
Juan Francisco Tlapanco
R. Cartas-Fuentevilla and J. F. Tlapanco-Limon
The Kodama state for topological quantum field theory beyond instantons
Introduction and Conclusions have been extended, some appropriate references have been added. 8 pages. submitted to physics letters B
Phys.Lett. B623 (2005) 165-170
10.1016/j.physletb.2005.07.042
null
hep-th
null
Constructing a symplectic structure that preserves the ordinary symmetries and the topological invariance for topological Yang-Mills theory, it is shown that the Kodama (Chern-Simons) state traditionally associated with a topological phase of unbroken diffeomorphism invariance for instantons, exists actually for the ...
[ { "created": "Wed, 13 Apr 2005 17:58:09 GMT", "version": "v1" }, { "created": "Wed, 22 Jun 2005 22:24:35 GMT", "version": "v2" } ]
2009-11-11
[ [ "Cartas-Fuentevilla", "R.", "" ], [ "Tlapanco-Limon", "J. F.", "" ] ]
Constructing a symplectic structure that preserves the ordinary symmetries and the topological invariance for topological Yang-Mills theory, it is shown that the Kodama (Chern-Simons) state traditionally associated with a topological phase of unbroken diffeomorphism invariance for instantons, exists actually for the co...
hep-th/0403232
Raimar Wulkenhaar
Harald Grosse (Vienna), Raimar Wulkenhaar (Leipzig)
Renormalisation of \phi^4-theory on noncommutative R^4 to all orders
12 pages, 14 figures, LaTeX
Lett. Math. Phys.71:13-26, 2005
10.1007/s11005-004-5116-3
null
hep-th
null
We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative \phi^4-model is renormalisable to all orders. This includes the reformulation as a dynamical matrix model, the solution of the free theory by orthogonal polynomials as well as the renormalisation by flow e...
[ { "created": "Tue, 23 Mar 2004 15:48:18 GMT", "version": "v1" } ]
2011-09-16
[ [ "Grosse", "Harald", "", "Vienna" ], [ "Wulkenhaar", "Raimar", "", "Leipzig" ] ]
We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative \phi^4-model is renormalisable to all orders. This includes the reformulation as a dynamical matrix model, the solution of the free theory by orthogonal polynomials as well as the renormalisation by flow equ...
hep-th/9307147
null
H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies
12 pgs, LaTeX, IFT-P.041/93
Phys.Lett. B316 (1993) 85-92
10.1016/0370-2693(93)90662-2
null
hep-th nlin.SI solv-int
null
The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamiltonian structure of the continuum models. The two-boson currents of KP hierarchy are being associated with sites of the corresponding chai...
[ { "created": "Sat, 24 Jul 1993 17:00:51 GMT", "version": "v1" } ]
2009-10-22
[ [ "Aratyn", "H.", "" ], [ "Ferreira", "L. A.", "" ], [ "Gomes", "J. F.", "" ], [ "Zimerman", "A. H.", "" ] ]
The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamiltonian structure of the continuum models. The two-boson currents of KP hierarchy are being associated with sites of the corresponding chain ...
1211.4887
Denis Bashkirov
Denis Bashkirov
BLG theories at low values of Chern-Simons coupling
10 pages, second version, references added
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It was checked in paper [1] by comparing the moduli spaces and superconformal indices that two of the BLG theories $(SU(2)_{1}\times SU(2)_{-1})/{\mathbb Z}_2$ and $SU(2)_2\times SU(2)_{-2}$ are dual to $U(2)_1\times U(2)_{-1}$ and $U(2)_{2}\times U(2)_{-2}$ ABJM theories, correspondingly. In this paper we consider t...
[ { "created": "Tue, 20 Nov 2012 21:44:32 GMT", "version": "v1" }, { "created": "Fri, 23 Nov 2012 17:07:25 GMT", "version": "v2" } ]
2012-11-26
[ [ "Bashkirov", "Denis", "" ] ]
It was checked in paper [1] by comparing the moduli spaces and superconformal indices that two of the BLG theories $(SU(2)_{1}\times SU(2)_{-1})/{\mathbb Z}_2$ and $SU(2)_2\times SU(2)_{-2}$ are dual to $U(2)_1\times U(2)_{-1}$ and $U(2)_{2}\times U(2)_{-2}$ ABJM theories, correspondingly. In this paper we consider the...
hep-th/9706189
Jayme Vaz
Jayme Vaz, Jr. (Syracuse, USA and Campinas, Brazil)
The Dirac Operator over Abelian Finite Groups
15 pages, LaTeX 2e, amsmath and amssymb packages
null
null
null
hep-th hep-lat
null
In this paper we show how to construct a Dirac operator on a lattice in complete analogy with the continuum. In fact we consider a more general problem, that is, the Dirac operator over an abelian finite group (for which a lattice is a particular example). Our results appear to be in direct connexion with the so call...
[ { "created": "Thu, 26 Jun 1997 13:53:34 GMT", "version": "v1" } ]
2012-08-27
[ [ "Vaz,", "Jayme", "Jr.", "Syracuse, USA and Campinas, Brazil" ] ]
In this paper we show how to construct a Dirac operator on a lattice in complete analogy with the continuum. In fact we consider a more general problem, that is, the Dirac operator over an abelian finite group (for which a lattice is a particular example). Our results appear to be in direct connexion with the so called...
2312.00695
Victor Mishnyakov
A. Mironov, V. Mishnyakov, A. Morozov
Tau-functions beyond the group elements
16 pages
Nucl. Phys. B1001 (2024) 116504
10.1016/j.nuclphysb.2024.116504
FIAN/TD-15/23, IITP/TH-21/23, ITEP/TH-27/23, MIPT/TH-20/23
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a $\textit{group element}$, i.e. satisfying the property $\Delta(X) = X\otimes X$, then their generating functions obey bilinear Hirota equations and hence are named $\tau$-functions. However, dealing wi...
[ { "created": "Fri, 1 Dec 2023 16:28:32 GMT", "version": "v1" } ]
2024-03-11
[ [ "Mironov", "A.", "" ], [ "Mishnyakov", "V.", "" ], [ "Morozov", "A.", "" ] ]
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a $\textit{group element}$, i.e. satisfying the property $\Delta(X) = X\otimes X$, then their generating functions obey bilinear Hirota equations and hence are named $\tau$-functions. However, dealing with...
1412.8478
Jaroslav Trnka
Nima Arkani-Hamed, Andrew Hodges, Jaroslav Trnka
Positive Amplitudes In The Amplituhedron
27 pages, 10 figures
null
10.1007/JHEP08(2015)030
CALT-TH-2014-168
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The all-loop integrand for scattering amplitudes in planar N = 4 SYM is determined by an "amplitude form" with logarithmic singularities on the boundary of the amplituhedron. In this note we provide strong evidence for a new striking property of the superamplitude, which we conjecture to be true to all loop orders: t...
[ { "created": "Mon, 29 Dec 2014 21:00:10 GMT", "version": "v1" } ]
2015-09-30
[ [ "Arkani-Hamed", "Nima", "" ], [ "Hodges", "Andrew", "" ], [ "Trnka", "Jaroslav", "" ] ]
The all-loop integrand for scattering amplitudes in planar N = 4 SYM is determined by an "amplitude form" with logarithmic singularities on the boundary of the amplituhedron. In this note we provide strong evidence for a new striking property of the superamplitude, which we conjecture to be true to all loop orders: the...
hep-th/9802016
Rajesh Gopakumar
Rajesh Gopakumar and Cumrun Vafa
Topological Gravity as Large N Topological Gauge Theory
Harvmac, 31 pages (big), references added
Adv.Theor.Math.Phys.2:413-442,1998
null
HUTP-97/A105, UCSB-97-25
hep-th
null
We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition function of this topological theory (the Kodaira-Spencer theory) to $SU(\infty)$ Cher...
[ { "created": "Tue, 3 Feb 1998 20:29:17 GMT", "version": "v1" }, { "created": "Wed, 18 Feb 1998 21:54:22 GMT", "version": "v2" } ]
2008-11-26
[ [ "Gopakumar", "Rajesh", "" ], [ "Vafa", "Cumrun", "" ] ]
We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition function of this topological theory (the Kodaira-Spencer theory) to $SU(\infty)$ Chern-...
1104.5366
Astrid Eichhorn
Astrid Eichhorn and Holger Gies
Light fermions in quantum gravity
16 pages, 9 figures
null
10.1088/1367-2630/13/12/125012
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the impact of quantum gravity, formulated as a quantum field theory of the metric, on chiral symmetry in a fermionic matter sector. We specifically address the question as to whether metric fluctuations can induce chiral symmetry breaking and bound state formation. Our results based on the functional Renorma...
[ { "created": "Thu, 28 Apr 2011 12:11:08 GMT", "version": "v1" } ]
2015-05-28
[ [ "Eichhorn", "Astrid", "" ], [ "Gies", "Holger", "" ] ]
We study the impact of quantum gravity, formulated as a quantum field theory of the metric, on chiral symmetry in a fermionic matter sector. We specifically address the question as to whether metric fluctuations can induce chiral symmetry breaking and bound state formation. Our results based on the functional Renormali...
2109.02725
Charlotte Sleight
Charlotte Sleight and Massimo Taronna
From dS to AdS and back
82 pages, 19 figures. v2: typos fixed
null
10.1007/JHEP12(2021)074
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe in more detail the general relation uncovered in our previous work between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space, at any order in perturbation theory. Assuming the Bunch-Davies vacuum at early times, any given diagram contributing to a boundary correlator in d...
[ { "created": "Mon, 6 Sep 2021 20:28:23 GMT", "version": "v1" }, { "created": "Mon, 13 Sep 2021 07:57:08 GMT", "version": "v2" } ]
2022-01-05
[ [ "Sleight", "Charlotte", "" ], [ "Taronna", "Massimo", "" ] ]
We describe in more detail the general relation uncovered in our previous work between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space, at any order in perturbation theory. Assuming the Bunch-Davies vacuum at early times, any given diagram contributing to a boundary correlator in dS ...
hep-th/0408079
Davide Fioravanti
Davide Fioravanti
Geometrical Loci and CFTs via the Virasoro Symmetry of the mKdV-SG hierarchy: an excursus
LaTex, 9 pages
Phys.Lett. B609 (2005) 173-179
10.1016/j.physletb.2005.01.037
APCTP 2004-001
hep-th math-ph math.MP nlin.SI
null
We will describe the appearance of specific algebraic KdV potentials as a consequence of a requirement on a integro-differential expression. This expression belongs to a class generated by means of Virasoro vector fields acting on the KdV field. The ``almost'' rational KdV fields are described in terms of a geometric...
[ { "created": "Tue, 10 Aug 2004 16:23:18 GMT", "version": "v1" } ]
2010-04-05
[ [ "Fioravanti", "Davide", "" ] ]
We will describe the appearance of specific algebraic KdV potentials as a consequence of a requirement on a integro-differential expression. This expression belongs to a class generated by means of Virasoro vector fields acting on the KdV field. The ``almost'' rational KdV fields are described in terms of a geometrical...
1510.01252
Alexei Morozov
Ya.Kononov and A.Morozov
Colored HOMFLY and Generalized Mandelbrot set
16 pages
JHEP 1511 (2015) 151
10.1007/JHEP11(2015)151
IITP/TH-11/15
hep-th math-ph math.GT math.MP nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Mandelbrot set is a closure of the set of zeroes of $resultant_x(F_n,F_m)$ for iterated maps $F_n(x)=f^{\circ n}(x)-x$ in the moduli space of maps $f(x)$. The wonderful fact is that for a given $n$ all zeroes are not chaotically scattered around the moduli space, but lie on smooth curves, with just a few cusps, locat...
[ { "created": "Mon, 5 Oct 2015 17:30:24 GMT", "version": "v1" } ]
2017-05-02
[ [ "Kononov", "Ya.", "" ], [ "Morozov", "A.", "" ] ]
Mandelbrot set is a closure of the set of zeroes of $resultant_x(F_n,F_m)$ for iterated maps $F_n(x)=f^{\circ n}(x)-x$ in the moduli space of maps $f(x)$. The wonderful fact is that for a given $n$ all zeroes are not chaotically scattered around the moduli space, but lie on smooth curves, with just a few cusps, located...
hep-th/0401237
Michael Wohlgenannt
Stefan Denk, Volkmar Putz, Manfred Schweda and Michael Wohlgenannt
Towards UV Finite Quantum Field Theories from Non-Local Field Operators
22 pages, 4 figures
Eur.Phys.J. C35 (2004) 283-292
10.1140/epjc/s2004-01783-7
TUW-04-03
hep-th
null
A non-local toy model whose interaction consists of smeared, non-local field operators is presented. We work out the Feynman rules and propose a power counting formula for arbitrary graphs. Explicit calculations for one loop graphs show that their contribution is finite for sufficient smearing and agree with the powe...
[ { "created": "Fri, 30 Jan 2004 11:33:48 GMT", "version": "v1" } ]
2009-11-10
[ [ "Denk", "Stefan", "" ], [ "Putz", "Volkmar", "" ], [ "Schweda", "Manfred", "" ], [ "Wohlgenannt", "Michael", "" ] ]
A non-local toy model whose interaction consists of smeared, non-local field operators is presented. We work out the Feynman rules and propose a power counting formula for arbitrary graphs. Explicit calculations for one loop graphs show that their contribution is finite for sufficient smearing and agree with the power ...
1312.1108
Roberto Emparan
Roberto Emparan, Kentaro Tanabe
Holographic superconductivity in the large D expansion
21 pages, 7 figures. v2: minor clarifications, refs added, lighter pdf file
JHEP 01 (2014) 145
10.1007/JHEP01(2014)145
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the condensate operator. Its accuracy for 3+1-dimensional superconductors is better than 1...
[ { "created": "Wed, 4 Dec 2013 11:07:53 GMT", "version": "v1" }, { "created": "Tue, 10 Dec 2013 15:44:20 GMT", "version": "v2" } ]
2022-03-07
[ [ "Emparan", "Roberto", "" ], [ "Tanabe", "Kentaro", "" ] ]
We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the condensate operator. Its accuracy for 3+1-dimensional superconductors is better than 15%...
hep-th/0110268
Chen-Gang Zhou
Chengang Zhou
Deformation Quantization and Quantum Field Theory on Curved Spaces: the Case of Two-Sphere
23 pages
null
null
RUNHETC-2001-31
hep-th
null
We study the scalar quantum field theory on a generic noncommutative two-sphere as a special case of noncommutative curved space, which is described by the deformation quantization algebra obtained from symplectic reduction and parametrized by $H^2(S^2, \QR)$. The fuzzy sphere is included as a special case parametriz...
[ { "created": "Mon, 29 Oct 2001 21:11:10 GMT", "version": "v1" } ]
2007-05-23
[ [ "Zhou", "Chengang", "" ] ]
We study the scalar quantum field theory on a generic noncommutative two-sphere as a special case of noncommutative curved space, which is described by the deformation quantization algebra obtained from symplectic reduction and parametrized by $H^2(S^2, \QR)$. The fuzzy sphere is included as a special case parametrized...
hep-th/0501248
Takao Koikawa
Takao Koikawa
Infinite number of soliton solutions to 5-dimensional vacuum Einstein equation
13 pages
Prog.Theor.Phys. 114 (2005) 793-803
10.1143/PTP.114.793
null
hep-th
null
We give an infinite number of exact solutions to the 5-dimensional static Einstein equation with axial symmetry by using the inverse scattering method. The solutions are characterized by two integers representing the soliton numbers. The first non trivial example of these solutions is the static black ring solution f...
[ { "created": "Sun, 30 Jan 2005 20:24:36 GMT", "version": "v1" } ]
2009-11-11
[ [ "Koikawa", "Takao", "" ] ]
We give an infinite number of exact solutions to the 5-dimensional static Einstein equation with axial symmetry by using the inverse scattering method. The solutions are characterized by two integers representing the soliton numbers. The first non trivial example of these solutions is the static black ring solution fou...
1311.1276
Matthew Buican
Matthew Buican
Minimal Distances Between SCFTs
41 pages and 2 figures; references updated; minor improvements in examples section
null
10.1007/JHEP01(2014)155
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study lower bounds on the minimal distance in theory space between four-dimensional superconformal field theories (SCFTs) connected via broad classes of renormalization group (RG) flows preserving various amounts of supersymmetry (SUSY). For N=1 RG flows, the ultraviolet (UV) and infrared (IR) endpoints of the flo...
[ { "created": "Wed, 6 Nov 2013 02:59:46 GMT", "version": "v1" }, { "created": "Mon, 18 Nov 2013 00:09:59 GMT", "version": "v2" } ]
2015-06-17
[ [ "Buican", "Matthew", "" ] ]
We study lower bounds on the minimal distance in theory space between four-dimensional superconformal field theories (SCFTs) connected via broad classes of renormalization group (RG) flows preserving various amounts of supersymmetry (SUSY). For N=1 RG flows, the ultraviolet (UV) and infrared (IR) endpoints of the flow ...
1911.08921
Sebasti\'an Alberto Franchino Vi\~nas
Sebasti\'an A. Franchino-Vi\~nas, Salvatore Mignemi
Asymptotic freedom for $\lambda \phi^4_{\star}$ QFT in Snyder-de Sitter space
14 pages, 3 figures. v2: corrects factors 2 in eq. (7) and (8), and eq. (19) regarding the discussion of $m_{\rm eff}$ and $\alpha_{\rm eff}$
null
10.1140/epjc/s10052-020-7918-6
null
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze the model of a self-interacting $\phi^4_{\star}$ scalar field theory in Snyder-de Sitter space. After analytically computing the one-loop beta functions {in the small noncommutativity and curvature limit}, we solve numerically the corresponding system of differential equations, showing that in this limit t...
[ { "created": "Wed, 20 Nov 2019 14:07:21 GMT", "version": "v1" }, { "created": "Wed, 31 Mar 2021 10:51:20 GMT", "version": "v2" } ]
2021-04-01
[ [ "Franchino-Viñas", "Sebastián A.", "" ], [ "Mignemi", "Salvatore", "" ] ]
We analyze the model of a self-interacting $\phi^4_{\star}$ scalar field theory in Snyder-de Sitter space. After analytically computing the one-loop beta functions {in the small noncommutativity and curvature limit}, we solve numerically the corresponding system of differential equations, showing that in this limit the...
1309.1087
Leopoldo A. Pando Zayas
Benjamin Burrington, Leopoldo A. Pando Zayas and Nicholas Rombes
On Resolutions of Cosmological Singularities in Higher-Spin Gravity
24 pages. v2: typos fixed, references added
null
null
MCTP-13-25
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the resolution of certain cosmological singularity in the context of higher-spin three-dimensional gravity. We consider gravity coupled to a spin-3 field realized as Chern-Simons theory with gauge group $SL(3,\mathbb{C})$. In this context we elaborate and extend a singularity resolution scheme proposed by Kr...
[ { "created": "Wed, 4 Sep 2013 16:16:13 GMT", "version": "v1" }, { "created": "Mon, 9 Sep 2013 14:13:46 GMT", "version": "v2" } ]
2013-09-10
[ [ "Burrington", "Benjamin", "" ], [ "Zayas", "Leopoldo A. Pando", "" ], [ "Rombes", "Nicholas", "" ] ]
We study the resolution of certain cosmological singularity in the context of higher-spin three-dimensional gravity. We consider gravity coupled to a spin-3 field realized as Chern-Simons theory with gauge group $SL(3,\mathbb{C})$. In this context we elaborate and extend a singularity resolution scheme proposed by Kris...
1101.4009
Christopher Pope
S. Deser, Haishan Liu, H. Lu, C.N. Pope, Tahsin Cagri Sisman, Bayram Tekin
Critical Points of D-Dimensional Extended Gravities
6 pages, typos corrected
Phys.Rev.D83:061502,2011
10.1103/PhysRevD.83.061502
BRX-TH-632, CALT 68-281, MIFPA-11-04
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D>4 there are in general two distinct (anti)-de Sitter vacua. We show that for appropriate choice of the parameters there exists a critical point for one of the vacua, for which there are only massl...
[ { "created": "Thu, 20 Jan 2011 20:32:16 GMT", "version": "v1" }, { "created": "Sun, 30 Jan 2011 20:49:22 GMT", "version": "v2" } ]
2011-03-22
[ [ "Deser", "S.", "" ], [ "Liu", "Haishan", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Sisman", "Tahsin Cagri", "" ], [ "Tekin", "Bayram", "" ] ]
We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D>4 there are in general two distinct (anti)-de Sitter vacua. We show that for appropriate choice of the parameters there exists a critical point for one of the vacua, for which there are only massles...
0903.2859
Francesco Nitti
U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti
Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
36 pages, 10 figures; references added, minor typos corrected; v3: corrected numerical mistake in section 5.4.
Nucl.Phys.B820:148-177,2009
10.1016/j.nuclphysb.2009.05.017
null
hep-th hep-lat hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The semi-phenomenological improved holographic model for QCD is confronted with data of the pure glue, large-Nc gauge theory. After fitting two phenomenological parameters in the potential, the model can reproduce in detail all thermodynamic functions at finite temperature. It also reproduces in detail all known spin...
[ { "created": "Mon, 16 Mar 2009 21:11:24 GMT", "version": "v1" }, { "created": "Fri, 3 Jul 2009 16:52:12 GMT", "version": "v2" }, { "created": "Fri, 30 Apr 2010 11:29:03 GMT", "version": "v3" } ]
2010-05-07
[ [ "Gursoy", "U.", "" ], [ "Kiritsis", "E.", "" ], [ "Mazzanti", "L.", "" ], [ "Nitti", "F.", "" ] ]
The semi-phenomenological improved holographic model for QCD is confronted with data of the pure glue, large-Nc gauge theory. After fitting two phenomenological parameters in the potential, the model can reproduce in detail all thermodynamic functions at finite temperature. It also reproduces in detail all known spin-0...
hep-th/9302010
null
T. Brzezinski, J. Rembielinski, K.A. Smolinski
Quantum Particle on a Quantum Circle
11 pages, LaTeX
Mod.Phys.Lett.A8:409-416,1993
10.1142/S0217732393000416
KFT UL 10/92
hep-th
null
We describe a $q$-deformed dynamical system corresponding to the quantum free particle moving along the circle. The algebra of observables is constructed and discussed. We construct and classify irreducible representations of the system.
[ { "created": "Wed, 3 Feb 1993 09:20:26 GMT", "version": "v1" }, { "created": "Fri, 12 Feb 1993 09:50:30 GMT", "version": "v2" } ]
2010-11-01
[ [ "Brzezinski", "T.", "" ], [ "Rembielinski", "J.", "" ], [ "Smolinski", "K. A.", "" ] ]
We describe a $q$-deformed dynamical system corresponding to the quantum free particle moving along the circle. The algebra of observables is constructed and discussed. We construct and classify irreducible representations of the system.
1201.3098
Cristian Stelea
Yves Brihaye, Eugen Radu, and Cristian Stelea
Charged squashed black holes with negative cosmological constant in odd dimensions
11 pages, 3 figures, v2 added references
null
10.1016/j.physletb.2012.02.035
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct new electrically charged solutions of the Einstein-Maxwell equations with negative cosmological constant in general odd dimensions $d=2n+3 \geq 5$. They correspond to higher dimensional generalizations of the squashed black hole solutions, which were known so far only in five dimensions. We explore numer...
[ { "created": "Sun, 15 Jan 2012 15:57:34 GMT", "version": "v1" }, { "created": "Wed, 25 Jan 2012 11:32:01 GMT", "version": "v2" } ]
2015-06-03
[ [ "Brihaye", "Yves", "" ], [ "Radu", "Eugen", "" ], [ "Stelea", "Cristian", "" ] ]
We construct new electrically charged solutions of the Einstein-Maxwell equations with negative cosmological constant in general odd dimensions $d=2n+3 \geq 5$. They correspond to higher dimensional generalizations of the squashed black hole solutions, which were known so far only in five dimensions. We explore numeric...
hep-th/9903062
Hiroaki Terashima
Hiroaki Terashima (Univ. of Tokyo)
Fluctuation-dissipation theorem and the Unruh effect of scalar and Dirac fields
26 pages
Phys. Rev. D 60, 084001 (1999)
10.1103/PhysRevD.60.084001
UT-839
hep-th gr-qc
null
We present a simple and systematic method to calculate the Rindler noise, which is relevant to the analysis of the Unruh effect, by using the fluctuation-dissipative theorem. To do this, we calculate the dissipative coefficient explicitly from the equations of motion of the detector and the field. This method gives n...
[ { "created": "Mon, 8 Mar 1999 08:31:48 GMT", "version": "v1" } ]
2016-08-25
[ [ "Terashima", "Hiroaki", "", "Univ. of Tokyo" ] ]
We present a simple and systematic method to calculate the Rindler noise, which is relevant to the analysis of the Unruh effect, by using the fluctuation-dissipative theorem. To do this, we calculate the dissipative coefficient explicitly from the equations of motion of the detector and the field. This method gives not...
hep-th/9712234
Chie Ohzeki
T. Miyazaki, C. Ohzeki and M. Yamanobe
$(p+2)$-form gauge fields for $p$-brane through an action-at-a-distance
6 pages
Nuovo Cim. B114 (1999) 589-593
null
null
hep-th
null
In the conventional $p$-brane theory, a gauge ($p+1$)-form field $\phi^{(p+1)}$ mediates the interaction between $p$-branes, which is gauge invariant in the sense $\phi^{(p+1)}\to \phi^{(p+1)}+d\Lambda^{(p)}$ with $\Lambda^{(p)}$, an arbitrary $p$-form and $d$, a boundary operator. We, on the contrary, propose to int...
[ { "created": "Fri, 26 Dec 1997 09:29:51 GMT", "version": "v1" } ]
2007-05-23
[ [ "Miyazaki", "T.", "" ], [ "Ohzeki", "C.", "" ], [ "Yamanobe", "M.", "" ] ]
In the conventional $p$-brane theory, a gauge ($p+1$)-form field $\phi^{(p+1)}$ mediates the interaction between $p$-branes, which is gauge invariant in the sense $\phi^{(p+1)}\to \phi^{(p+1)}+d\Lambda^{(p)}$ with $\Lambda^{(p)}$, an arbitrary $p$-form and $d$, a boundary operator. We, on the contrary, propose to intro...
1608.07506
Partha Mukhopadhyay
Partha Mukhopadhyay
General Construction of Tubular Geometry
40 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the problem of locally describing tubular geometry around a submanifold embedded in a (pseudo)Riemannian manifold in its general form. Given the geometry of ambient space in an arbitrary coordinate system and equations determining the submanifold in the same system, we compute the tubular expansion coeffi...
[ { "created": "Fri, 26 Aug 2016 16:26:11 GMT", "version": "v1" } ]
2016-08-29
[ [ "Mukhopadhyay", "Partha", "" ] ]
We consider the problem of locally describing tubular geometry around a submanifold embedded in a (pseudo)Riemannian manifold in its general form. Given the geometry of ambient space in an arbitrary coordinate system and equations determining the submanifold in the same system, we compute the tubular expansion coeffici...
hep-th/9705176
Antti Niemi
L. Faddeev and A.J. Niemi
Toroidal Confugurations As Stable Solitons
21 pages, 10 figures
null
null
null
hep-th
null
Previously we have proposed that in certain relativistic quantum field theories knotlike configurations may appear as stable solitons. Here we present a detailed investigation of the simplest knotted soliton, the torus-shaped unknot.
[ { "created": "Thu, 22 May 1997 21:46:45 GMT", "version": "v1" } ]
2009-09-25
[ [ "Faddeev", "L.", "" ], [ "Niemi", "A. J.", "" ] ]
Previously we have proposed that in certain relativistic quantum field theories knotlike configurations may appear as stable solitons. Here we present a detailed investigation of the simplest knotted soliton, the torus-shaped unknot.
2310.07556
Matheus Ara\'ujo Marques
M.A. Marques and R. Menezes
Geometrically constrained multifield models with BNRT solutions
v2; 13 pages, 7 figures; text and references added; accepted in Chaos, Solitons and Fractals
Chaos, Solitons and Fractals 181 (2024) 114730
10.1016/j.chaos.2024.114730
null
hep-th
http://creativecommons.org/licenses/by-nc-nd/4.0/
In this paper, we investigate multifield models in which the two-field BNRT model is coupled to a third field through mediator functions in the Lagrangian density. To conduct the investigation, we obtain the equations of motion and develop a first-order formalism based on energy minimization. Two possibilities are co...
[ { "created": "Wed, 11 Oct 2023 15:00:39 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2024 14:24:46 GMT", "version": "v2" } ]
2024-03-19
[ [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ] ]
In this paper, we investigate multifield models in which the two-field BNRT model is coupled to a third field through mediator functions in the Lagrangian density. To conduct the investigation, we obtain the equations of motion and develop a first-order formalism based on energy minimization. Two possibilities are cons...
hep-th/9612071
null
E. Ragoucy
W-strings from N=2 Hamiltonian reduction and classification of N=2 super W-algebras
Latex, 13 pages
null
null
null
hep-th
null
We present an algebraic approach to string theory, using a Hamiltonian reduction of N=2 WZW models. An embedding of sl(1|2) in a Lie superalgebra determines a niltopent subalgebra. Chirally gauging this subalgebra in the corresponding WZW action leads to an extension of the N=2 superconformal algebra. We classify all...
[ { "created": "Fri, 6 Dec 1996 15:20:41 GMT", "version": "v1" } ]
2016-09-06
[ [ "Ragoucy", "E.", "" ] ]
We present an algebraic approach to string theory, using a Hamiltonian reduction of N=2 WZW models. An embedding of sl(1|2) in a Lie superalgebra determines a niltopent subalgebra. Chirally gauging this subalgebra in the corresponding WZW action leads to an extension of the N=2 superconformal algebra. We classify all t...
1906.02619
Enrico Olivucci
Gleb Arutyunov and Enrico Olivucci
Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction
16 pages. The statement about coincidence of the Poisson structure of spin variables at generic $N$ and $\ell$ with that of 1811.08727 was corrected
null
null
null
hep-th math-ph math.MP nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive a Hamiltonian structure for the $N$-particle hyperbolic spin Ruijsenaars-Schneider model by means of Poisson reduction of a suitable initial phase space. This phase space is realised as the direct product of the Heisenberg double of a factorisable Lie group with another symplectic manifold that is a certain...
[ { "created": "Thu, 6 Jun 2019 14:44:55 GMT", "version": "v1" }, { "created": "Wed, 21 Aug 2019 09:10:42 GMT", "version": "v2" } ]
2019-08-22
[ [ "Arutyunov", "Gleb", "" ], [ "Olivucci", "Enrico", "" ] ]
We derive a Hamiltonian structure for the $N$-particle hyperbolic spin Ruijsenaars-Schneider model by means of Poisson reduction of a suitable initial phase space. This phase space is realised as the direct product of the Heisenberg double of a factorisable Lie group with another symplectic manifold that is a certain d...
2112.07541
Kaixin Ji
Kaixin Ji, Ling-Yan Hung
Information propagation in a non-local model with emergent locality
Slightly revised abstract, section 2, section 4.2 and discussion
null
10.1007/JHEP04(2022)106
null
hep-th cond-mat.str-el quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we revisit a "relatively local" model proposed in arXiv:1811.07241, where locality and dimensionality of space only emerges from the entanglement structure of the state the system is in. Various quantities such as butterfly velocity/ entanglement speed can be defined similarly, at least in the regime w...
[ { "created": "Tue, 14 Dec 2021 16:51:26 GMT", "version": "v1" }, { "created": "Sat, 22 Jan 2022 16:38:32 GMT", "version": "v2" }, { "created": "Mon, 28 Mar 2022 09:38:19 GMT", "version": "v3" } ]
2022-05-04
[ [ "Ji", "Kaixin", "" ], [ "Hung", "Ling-Yan", "" ] ]
In this paper, we revisit a "relatively local" model proposed in arXiv:1811.07241, where locality and dimensionality of space only emerges from the entanglement structure of the state the system is in. Various quantities such as butterfly velocity/ entanglement speed can be defined similarly, at least in the regime whe...
2211.01285
Sudeepan Datta
B. Ananthanarayan, Sumit Banik, Souvik Bera, Sudeepan Datta
FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems
26 pages, 1 figure, code repository: https://github.com/anant-group/FeynGKZ
null
10.1016/j.cpc.2023.108699
null
hep-th hep-ph math-ph math.MP
http://creativecommons.org/licenses/by/4.0/
In the Lee-Pomeransky representation, Feynman integrals can be identified as a subset of Euler-Mellin integrals, which are known to satisfy Gel'fand-Kapranov-Zelevinsky (GKZ) system of partial differential equations. Here we present an automated package to derive the associated GKZ system for a given Feynman diagram ...
[ { "created": "Wed, 2 Nov 2022 17:07:16 GMT", "version": "v1" } ]
2023-03-22
[ [ "Ananthanarayan", "B.", "" ], [ "Banik", "Sumit", "" ], [ "Bera", "Souvik", "" ], [ "Datta", "Sudeepan", "" ] ]
In the Lee-Pomeransky representation, Feynman integrals can be identified as a subset of Euler-Mellin integrals, which are known to satisfy Gel'fand-Kapranov-Zelevinsky (GKZ) system of partial differential equations. Here we present an automated package to derive the associated GKZ system for a given Feynman diagram an...
0901.1646
Murat Gunaydin
Murat Gunaydin and Oleksandr Pavlyk
Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors
Section 4 is split with the addition of a subsection on quadratic Casimir operators; references added; typos corrected. Latex file; 53 pages
JHEP 1004:070,2010
10.1007/JHEP04(2010)070
null
hep-th gr-qc math-ph math.MP math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
After reviewing the algebraic structures that underlie the geometries of N=2 Maxwell-Einstein supergravity theories (MESGT) in five and four dimensions with symmetric scalar manifolds, we give a unified realization of their three dimensional U-duality groups as spectrum generating quasiconformal groups. They are F_{4...
[ { "created": "Mon, 12 Jan 2009 19:38:38 GMT", "version": "v1" }, { "created": "Mon, 2 Mar 2009 02:16:51 GMT", "version": "v2" } ]
2014-11-18
[ [ "Gunaydin", "Murat", "" ], [ "Pavlyk", "Oleksandr", "" ] ]
After reviewing the algebraic structures that underlie the geometries of N=2 Maxwell-Einstein supergravity theories (MESGT) in five and four dimensions with symmetric scalar manifolds, we give a unified realization of their three dimensional U-duality groups as spectrum generating quasiconformal groups. They are F_{4(4...
hep-th/0407079
Hossein Yavartanoo
Hossein Yavartanoo
Cosmological Solution from D-brane motion in NS5-Branes background
15 pages, To appear in International Journal of Modern Physics A
Int.J.Mod.Phys. A20 (2005) 7633-7645
10.1142/S0217751X05022329
null
hep-th
null
We study dynamics of a D3-brane propagating in the vicinity of k coincident NS5 branes. We show that when $g_s$ is small, there exists a regime in which dynamics of the D-brane is governed by Dirac-Born-Infeld action while higher order derivative in the expansion can not be neglected. This leads to a restriction on h...
[ { "created": "Sat, 10 Jul 2004 22:26:40 GMT", "version": "v1" }, { "created": "Sun, 18 Jul 2004 16:41:54 GMT", "version": "v2" }, { "created": "Mon, 20 Sep 2004 16:46:10 GMT", "version": "v3" }, { "created": "Wed, 13 Apr 2005 07:27:37 GMT", "version": "v4" } ]
2009-11-10
[ [ "Yavartanoo", "Hossein", "" ] ]
We study dynamics of a D3-brane propagating in the vicinity of k coincident NS5 branes. We show that when $g_s$ is small, there exists a regime in which dynamics of the D-brane is governed by Dirac-Born-Infeld action while higher order derivative in the expansion can not be neglected. This leads to a restriction on how...
2307.06929
Juan Mauricio Valencia Villegas
S. Mironov and M. Valencia-Villegas
Stability of nonsingular cosmologies in Galileon models with torsion. A no-go theorem for eternal subluminality
8 pages, 4 figures. Matches the version accepted for publication in PRD. Added clarifying comments in the proof of the No-Go, references added, results unchanged
Phys. Rev. D, 109, 2024, 044-073
10.1103/PhysRevD.109.044073
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more general geometry the No-Go argument now holds provided the additional hypothesis t...
[ { "created": "Thu, 13 Jul 2023 17:51:48 GMT", "version": "v1" }, { "created": "Mon, 5 Feb 2024 07:01:14 GMT", "version": "v2" } ]
2024-07-22
[ [ "Mironov", "S.", "" ], [ "Valencia-Villegas", "M.", "" ] ]
Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more general geometry the No-Go argument now holds provided the additional hypothesis tha...
hep-th/9209025
null
Sumit R. Das and S. Kalyana Rama
Renormalization of Couplings in Embedded Random Surfaces
14 pages. Preprint TIFR-TH-92/48
Mod.Phys.Lett. A7 (1992) 3747-3758
10.1142/S0217732392003165
null
hep-th
null
We study the dressing of operators and flows of corresponding couplings in models of {\it embedded} random surfaces. We show that these dressings can be obtained by applying the methods of David and Distler and Kawai. We consider two extreme limits. In the first limit the string tension is large and the dynamics is d...
[ { "created": "Tue, 8 Sep 1992 20:08:00 GMT", "version": "v1" } ]
2015-06-26
[ [ "Das", "Sumit R.", "" ], [ "Rama", "S. Kalyana", "" ] ]
We study the dressing of operators and flows of corresponding couplings in models of {\it embedded} random surfaces. We show that these dressings can be obtained by applying the methods of David and Distler and Kawai. We consider two extreme limits. In the first limit the string tension is large and the dynamics is dom...
1301.7498
Reinhard Alkofer
Valentin Mader and Reinhard Alkofer
Including four-gluon interactions into Landau and maximally-Abelian gauge Dyson-Schwinger studies
8 pages, 3 figures, talk presented at the Xth Quark Confinement and the Hadron Spectrum, Munich, Germany, 2012
PoS Confinement X (2013) 063
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loop terms and especially their renormalization. A possible scenario to renormalize these fully-dressed two-loop terms is presented. Prelimin...
[ { "created": "Thu, 31 Jan 2013 02:48:24 GMT", "version": "v1" }, { "created": "Fri, 1 Feb 2013 23:40:37 GMT", "version": "v2" } ]
2013-02-05
[ [ "Mader", "Valentin", "" ], [ "Alkofer", "Reinhard", "" ] ]
In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loop terms and especially their renormalization. A possible scenario to renormalize these fully-dressed two-loop terms is presented. Preliminar...
hep-th/9208007
Shahn Majid
Tomasz Brzezinski and Shahn Majid
Quantum group gauge theory on quantum spaces
65 pages DAMTP/92-27 Revised to emphasise more the U(1) monopole example -- includes now full details in the 3D differential calculus
Commun.Math.Phys. 157 (1993) 591-638; Erratum-ibid. 167 (1995) 235
10.1007/BF02096884
null
hep-th
null
We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on $SU_q(2)$ . The construction is presented within the setting of a general theory of quantum pr...
[ { "created": "Mon, 3 Aug 1992 12:00:44 GMT", "version": "v1" }, { "created": "Fri, 26 Mar 1993 16:50:34 GMT", "version": "v2" } ]
2009-10-22
[ [ "Brzezinski", "Tomasz", "" ], [ "Majid", "Shahn", "" ] ]
We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on $SU_q(2)$ . The construction is presented within the setting of a general theory of quantum prin...
1906.10383
Masao Jinzenji
Masao Jinzenji (Okayama University), Ken Kuwata (Hokkaido University)
Holomorphic Vector Field and Topological Sigma Model on CP^1 World Sheet
32 pages, revised version for publication in IJMPA
International Journal of Modern Physics A Vol. 35, No. 30, 2050192 (2020)
10.1142/S0217751X20501924
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Witten suggested that fixed-point theorems can be derived by the supersymmetric sigma model on a Riemann manifold M with potential term induced from Killing vector on M. One of the well-known fixed-point theorem is the Bott residue formula which represents intersection number of Chern classes of holomorphic vector bu...
[ { "created": "Tue, 25 Jun 2019 08:42:12 GMT", "version": "v1" }, { "created": "Tue, 2 Jul 2019 06:35:55 GMT", "version": "v2" }, { "created": "Mon, 12 Oct 2020 06:05:42 GMT", "version": "v3" } ]
2020-11-03
[ [ "Jinzenji", "Masao", "", "Okayama University" ], [ "Kuwata", "Ken", "", "Hokkaido University" ] ]
Witten suggested that fixed-point theorems can be derived by the supersymmetric sigma model on a Riemann manifold M with potential term induced from Killing vector on M. One of the well-known fixed-point theorem is the Bott residue formula which represents intersection number of Chern classes of holomorphic vector bund...
hep-th/9307186
Deogki Hong
D. K. Hong and S. H. Park
Large-N analysis of (2+1)-dimensional Thirring model
14 pages Latex. (Revised version: some changes have been made and references added.) To appear in Phys. Rev. D, SNUTP 93-47
Phys.Rev. D49 (1994) 5507-5511
10.1103/PhysRevD.49.5507
null
hep-th
null
We analyze $(2+1)$-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the $1/N$ expansion. By solving the Dyson-Schwinger equation in the large-$N$ limit, we show that in the two-component formalism the fermions acquire parity-violating mass dynamically in the range of the dime...
[ { "created": "Fri, 30 Jul 1993 07:10:24 GMT", "version": "v1" }, { "created": "Tue, 10 May 1994 18:53:29 GMT", "version": "v2" } ]
2009-10-22
[ [ "Hong", "D. K.", "" ], [ "Park", "S. H.", "" ] ]
We analyze $(2+1)$-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the $1/N$ expansion. By solving the Dyson-Schwinger equation in the large-$N$ limit, we show that in the two-component formalism the fermions acquire parity-violating mass dynamically in the range of the dimens...
1312.2626
James Lucietti
Carmen Li, James Lucietti
Three-dimensional black holes and descendants
10 pages. v2: general solution has second Killing field, changes and additions to reflect this, references added. v3: included analysis of non-extreme solution and discussion
Phys. Lett. B 738 (2014) , 48-4
10.1016/j.physletb.2014.09.012
EMPG-13-22
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing field and deduce that it must be related to the BTZ black hole (or i...
[ { "created": "Mon, 9 Dec 2013 23:05:23 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 2013 19:27:37 GMT", "version": "v2" }, { "created": "Tue, 11 Feb 2014 20:25:09 GMT", "version": "v3" } ]
2014-09-24
[ [ "Li", "Carmen", "" ], [ "Lucietti", "James", "" ] ]
We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing field and deduce that it must be related to the BTZ black hole (or its...
1503.07457
Watse Sybesma
Watse Sybesma and Stefan Vandoren
Lifshitz quasinormal modes and relaxation from holography
16 pages and 5 figures
null
10.1007/JHEP05(2015)021
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We obtain relaxation times for field theories with Lifshitz scaling and with holographic duals Einstein-Maxwell-Dilaton gravity theories. This is done by computing quasinormal modes of a bulk scalar field in the presence of Lifshitz black branes. We determine the relation between relaxation time and dynamical exponen...
[ { "created": "Wed, 25 Mar 2015 17:01:56 GMT", "version": "v1" } ]
2015-06-11
[ [ "Sybesma", "Watse", "" ], [ "Vandoren", "Stefan", "" ] ]
We obtain relaxation times for field theories with Lifshitz scaling and with holographic duals Einstein-Maxwell-Dilaton gravity theories. This is done by computing quasinormal modes of a bulk scalar field in the presence of Lifshitz black branes. We determine the relation between relaxation time and dynamical exponent ...
1507.04190
Vincent Rivasseau
Vincent Rivasseau
Why are tensor field theories asymptotically free?
8 pages, 3 figures
null
10.1209/0295-5075/111/60011
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this pedagogic letter we explain the combinatorics underlying the generic asymptotic freedom of tensor field theories. We focus on simple combinatorial models with a $1/p^2$ propagator and quartic interactions and on the comparison between the intermediate field representations of the vector, matrix and tensor cas...
[ { "created": "Wed, 15 Jul 2015 12:38:31 GMT", "version": "v1" } ]
2015-10-28
[ [ "Rivasseau", "Vincent", "" ] ]
In this pedagogic letter we explain the combinatorics underlying the generic asymptotic freedom of tensor field theories. We focus on simple combinatorial models with a $1/p^2$ propagator and quartic interactions and on the comparison between the intermediate field representations of the vector, matrix and tensor cases...
2306.13663
Dimitrios Metaxas
Dimitrios Metaxas
The quantum Yang-Mills theory
16 pages, comments and references added
null
null
null
hep-th quant-ph
http://creativecommons.org/licenses/by/4.0/
In axiomatic quantum field theory, the postulate of the uniqueness of the vacuum (a pure vacuum state) is independent of the other axioms and equivalent to the cluster decomposition property. The latter, however, implies a Coulomb or Yukawa attenuation of the interactions at growing distance, hence cannot accomodate ...
[ { "created": "Sun, 11 Jun 2023 15:03:45 GMT", "version": "v1" }, { "created": "Wed, 20 Sep 2023 11:58:23 GMT", "version": "v2" } ]
2023-09-21
[ [ "Metaxas", "Dimitrios", "" ] ]
In axiomatic quantum field theory, the postulate of the uniqueness of the vacuum (a pure vacuum state) is independent of the other axioms and equivalent to the cluster decomposition property. The latter, however, implies a Coulomb or Yukawa attenuation of the interactions at growing distance, hence cannot accomodate th...
1310.4319
Alfonso V. Ramallo
Alfonso V. Ramallo
Introduction to the AdS/CFT correspondence
64 pages, 12 figures;v2: minor improvements;v3: references added
null
null
null
hep-th cond-mat.str-el hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a pedagogical introduction to the AdS/CFT correspondence, based on lectures delivered by the author at the third IDPASC school. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing some concrete topics, which are discussed in detail. A very brief introduction t...
[ { "created": "Wed, 16 Oct 2013 10:15:33 GMT", "version": "v1" }, { "created": "Thu, 17 Oct 2013 19:35:09 GMT", "version": "v2" }, { "created": "Fri, 1 Nov 2013 18:23:13 GMT", "version": "v3" } ]
2013-11-04
[ [ "Ramallo", "Alfonso V.", "" ] ]
This is a pedagogical introduction to the AdS/CFT correspondence, based on lectures delivered by the author at the third IDPASC school. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing some concrete topics, which are discussed in detail. A very brief introduction to ...
hep-th/9307141
Nicholas Philip Warner
D. Nemeschansky and N.P. Warner
Off-Critical Lattice Analogues of $N=2$ Supersymmetric Quantum Integrable Models
27 pages and 2 figures, harvmac
Nucl.Phys. B413 (1994) 629-652
10.1016/0550-3213(94)90005-1
null
hep-th cond-mat
null
We obtain off-critical (elliptic) Boltzmann weights for lattice models whose continuum limits correspond to massive, $N=2$ supersymmetric, quantum integrable field theories. We also compute the free energies of these models and show that they are analytic in the region of parameter space where we believe that the sup...
[ { "created": "Thu, 22 Jul 1993 22:16:08 GMT", "version": "v1" } ]
2009-10-22
[ [ "Nemeschansky", "D.", "" ], [ "Warner", "N. P.", "" ] ]
We obtain off-critical (elliptic) Boltzmann weights for lattice models whose continuum limits correspond to massive, $N=2$ supersymmetric, quantum integrable field theories. We also compute the free energies of these models and show that they are analytic in the region of parameter space where we believe that the super...
hep-th/0005099
Dmitri Vladimirovich Galtsov
V.V.Dyadichev and D.V.Gal'tsov
Solitons and black holes in non-Abelian Einstein-Born-Infeld theory
Latex, 9 pages, 9 eps figures
Phys.Lett. B486 (2000) 431-442
10.1016/S0370-2693(00)00713-9
DTP-MSU/00-05
hep-th
null
Recently it was shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particle-like solutions in the flat space which have a striking similarity with the Bartnik-McKinnon solutions known in the gravity coupled Yang-Mills theory. We show that both families are continuo...
[ { "created": "Wed, 10 May 2000 21:59:07 GMT", "version": "v1" } ]
2016-09-06
[ [ "Dyadichev", "V. V.", "" ], [ "Gal'tsov", "D. V.", "" ] ]
Recently it was shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particle-like solutions in the flat space which have a striking similarity with the Bartnik-McKinnon solutions known in the gravity coupled Yang-Mills theory. We show that both families are continuous...
1701.05229
Sergei Parkhomenko
S.E. Parkhomenko
Generalized K\"ahler Geometry and current algebras in $SU(2)\times U(1)$ N=2 superconformal WZW model
10 pages, misprints corrections
Mod. Phys. Lett. A, Vol. 32, No. 13 (2017)
10.1142/S0217732317500766
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We examine the Generalized K$\ddot{a}$hler Geometry of quantum N=2 superconformal WZW model on $SU(2)\times U(1)$ and relate the right-moving and left-moving Kac-Moody superalgebra currents to the Generalized K$\ddot{a}$hler Geometry data of the group manifold using Hamiltonian formalism.
[ { "created": "Wed, 18 Jan 2017 20:51:02 GMT", "version": "v1" }, { "created": "Sat, 21 Jan 2017 11:09:45 GMT", "version": "v2" }, { "created": "Wed, 5 Apr 2017 09:55:07 GMT", "version": "v3" }, { "created": "Sun, 23 Apr 2017 16:08:54 GMT", "version": "v4" } ]
2018-01-11
[ [ "Parkhomenko", "S. E.", "" ] ]
We examine the Generalized K$\ddot{a}$hler Geometry of quantum N=2 superconformal WZW model on $SU(2)\times U(1)$ and relate the right-moving and left-moving Kac-Moody superalgebra currents to the Generalized K$\ddot{a}$hler Geometry data of the group manifold using Hamiltonian formalism.
hep-th/0511267
Hitoshi Nishino
Hitoshi Nishino and Subhash Rajpoot
Interacting Vector-Spinor and Nilpotent Supersymmetry
10 pages, no figures
Class.Quant.Grav.23:5215-5226,2006
10.1088/0264-9381/23/17/007
CSULB-PA-05-3
hep-th
null
We formulate an interacting theory of a vector-spinor field that gauges anticommuting spinor charges \{Q_\alpha{}^I, Q_\beta{}^J \} = 0 in arbitrary space-time dimensions. The field content of the system is (\psi_\mu{}^{\alpha I}, \chi^{\alpha I J}, A_\mu{}^I), where \psi_\mu{}^{\alpha I} is a vector-spinor in the ad...
[ { "created": "Sat, 26 Nov 2005 07:20:51 GMT", "version": "v1" } ]
2009-11-11
[ [ "Nishino", "Hitoshi", "" ], [ "Rajpoot", "Subhash", "" ] ]
We formulate an interacting theory of a vector-spinor field that gauges anticommuting spinor charges \{Q_\alpha{}^I, Q_\beta{}^J \} = 0 in arbitrary space-time dimensions. The field content of the system is (\psi_\mu{}^{\alpha I}, \chi^{\alpha I J}, A_\mu{}^I), where \psi_\mu{}^{\alpha I} is a vector-spinor in the adjo...
hep-th/0509120
Nathan Berkovits
Nathan Berkovits (IFT-UNESP, Sao Paulo)
Pure Spinor Formalism as an N=2 Topological String
34 pages harvmac tex
JHEP0510:089,2005
10.1088/1126-6708/2005/10/089
IFT-P.031/2005
hep-th
null
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topologic...
[ { "created": "Thu, 15 Sep 2005 18:54:07 GMT", "version": "v1" } ]
2009-11-11
[ [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological...
2107.03910
Pietro Dall'Olio
Pietro Dall'Olio, Tim De Meerleer, David Dudal, Silvio Paolo Sorella, Adnan Bashir
Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
arXiv admin note: text overlap with arXiv:1911.01907 Correcting typos. We added a few comments and the diagrammatic representation of the Feynman rules, according to the referee's requests
null
10.1016/j.nuclphysb.2021.115606
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is si...
[ { "created": "Thu, 8 Jul 2021 15:41:22 GMT", "version": "v1" }, { "created": "Mon, 12 Jul 2021 14:39:52 GMT", "version": "v2" }, { "created": "Wed, 3 Nov 2021 16:56:07 GMT", "version": "v3" } ]
2021-11-24
[ [ "Dall'Olio", "Pietro", "" ], [ "De Meerleer", "Tim", "" ], [ "Dudal", "David", "" ], [ "Sorella", "Silvio Paolo", "" ], [ "Bashir", "Adnan", "" ] ]
Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is sign...
hep-th/9502164
Giovanni Felder
Giovanni Felder, Alexander Varchenko
Remarks on the structure constants of the Verlinde algebra associated to $sl_3$
5 pages, AmsTeX, 1 figure available on request
Lett.Math.Phys.37:167-171,1996
10.1007/BF00416019
null
hep-th
null
The structure constants $N_{\lambda, \mu}^{\mu+\nu}$ of the $sl_2$ Verlinde algebra as functions of $\mu$ either vanish or can be expressed after a change of variable as the weight function of an irreducible representation of $sl_2$. We give a similar formula in the $sl_3$ case.
[ { "created": "Tue, 28 Feb 1995 13:03:10 GMT", "version": "v1" } ]
2016-09-06
[ [ "Felder", "Giovanni", "" ], [ "Varchenko", "Alexander", "" ] ]
The structure constants $N_{\lambda, \mu}^{\mu+\nu}$ of the $sl_2$ Verlinde algebra as functions of $\mu$ either vanish or can be expressed after a change of variable as the weight function of an irreducible representation of $sl_2$. We give a similar formula in the $sl_3$ case.
1407.4772
Alexander Ochirov Dr.
Henrik Johansson and Alexander Ochirov
Pure Gravities via Color-Kinematics Duality for Fundamental Matter
48 pages + refs, 15 figures, 3 tables; v2 minor corrections, journal version
JHEP 1511 (2015) 046
10.1007/JHEP11(2015)046
CERN-PH-TH/2014-125, IPhT-t14/090
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure (super-)Yang-Mills parts and additional contributions from double copies of fund...
[ { "created": "Thu, 17 Jul 2014 18:50:45 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 2015 12:43:35 GMT", "version": "v2" } ]
2015-11-11
[ [ "Johansson", "Henrik", "" ], [ "Ochirov", "Alexander", "" ] ]
We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure (super-)Yang-Mills parts and additional contributions from double copies of fundam...
hep-th/0212289
Dmitri Maximovitch Gitman
B. Geyer (U. of Leipzig), D.M. Gitman (U. of Sao Paulo), I.V. Tyutin (Lebedev Institute)
Canonical form of Euler-Lagrange equations and gauge symmetries
27 pages, LaTex file
J.Phys.A36:6587,2003
10.1088/0305-4470/36/23/321
Publicacao IFUSP 1535/2002
hep-th
null
The structure of the Euler-Lagrange equations for a general Lagrangian theory is studied. For these equations we present a reduction procedure to the so-called canonical form. In the canonical form the equations are solved with respect to highest-order derivatives of nongauge coordinates, whereas gauge coordinates an...
[ { "created": "Mon, 23 Dec 2002 17:47:15 GMT", "version": "v1" } ]
2008-11-26
[ [ "Geyer", "B.", "", "U. of Leipzig" ], [ "Gitman", "D. M.", "", "U. of Sao Paulo" ], [ "Tyutin", "I. V.", "", "Lebedev Institute" ] ]
The structure of the Euler-Lagrange equations for a general Lagrangian theory is studied. For these equations we present a reduction procedure to the so-called canonical form. In the canonical form the equations are solved with respect to highest-order derivatives of nongauge coordinates, whereas gauge coordinates and ...
hep-th/9310065
null
Aurelian Isar
Wigner distribution function for the harmonic oscillator with dissipation within the theory of open quantum systems
17 pages,plain TEX, FT-389-1993
null
null
null
hep-th
null
Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad's theory for open quantum systems. We deduce the density matrix of the damped harmonic oscillator from the solution of the Fokker-Planck equ...
[ { "created": "Tue, 12 Oct 1993 14:43:00 GMT", "version": "v1" } ]
2007-05-23
[ [ "Isar", "Aurelian", "" ] ]
Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad's theory for open quantum systems. We deduce the density matrix of the damped harmonic oscillator from the solution of the Fokker-Planck equat...