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hep-th/0009252
Oren Bergman
O. Bergman (Caltech)
Tachyon condensation in unstable type I D-brane systems
14 pages, LaTex; footnote regarding bosonic D-branes has been corrected, references added
JHEP 0011 (2000) 015
10.1088/1126-6708/2000/11/015
CALT-68-2297, CITUSC/00-052
hep-th
null
Type I string theory provides eight classes of unstable D-brane systems. We determine the gauge group and tachyon spectrum for each one, and thereby describe the gauge symmetry breaking pattern in the low-energy world-volume field theory. The topologies of the resulting coset vacuum manifolds are related to the real ...
[ { "created": "Fri, 29 Sep 2000 22:45:01 GMT", "version": "v1" }, { "created": "Tue, 10 Oct 2000 22:45:52 GMT", "version": "v2" } ]
2009-10-31
[ [ "Bergman", "O.", "", "Caltech" ] ]
Type I string theory provides eight classes of unstable D-brane systems. We determine the gauge group and tachyon spectrum for each one, and thereby describe the gauge symmetry breaking pattern in the low-energy world-volume field theory. The topologies of the resulting coset vacuum manifolds are related to the real K-...
hep-th/0301064
denis Bernard
Michel Bauer and Denis Bernard
SLE martingales and the Virasoro algebra
13 pages, to appear in Phys. Lett. B
Phys.Lett.B557:309-316,2003
10.1016/S0370-2693(03)00189-8
null
hep-th math-ph math.MP math.PR
null
We present an explicit relation between representations of the Virasoro algebra and polynomial martingales in stochastic Loewner evolutions (SLE). We show that the Virasoro algebra is the spectrum generating algebra of SLE martingales. This is based on a new representation of the Virasoro algebra, inspired by the Bor...
[ { "created": "Fri, 10 Jan 2003 17:12:01 GMT", "version": "v1" }, { "created": "Thu, 13 Mar 2003 11:06:16 GMT", "version": "v2" } ]
2008-11-26
[ [ "Bauer", "Michel", "" ], [ "Bernard", "Denis", "" ] ]
We present an explicit relation between representations of the Virasoro algebra and polynomial martingales in stochastic Loewner evolutions (SLE). We show that the Virasoro algebra is the spectrum generating algebra of SLE martingales. This is based on a new representation of the Virasoro algebra, inspired by the Borel...
hep-th/0607157
Giampiero Esposito Dr.
Elisabetta Di Grezia, Giampiero Esposito, Gennaro Miele
Gravitational amplitudes in black-hole evaporation: the effect of non-commutative geometry
14 pages, 2 figures, Latex macros. In the final version, section 5 has been amended, the presentation has been improved, and References 21-24 have been added. Last misprints amended in Section 5 and Ref. 24
Class.Quant.Grav. 23 (2006) 6425-6434
10.1088/0264-9381/23/22/020
DSF preprint 2006/25
hep-th
null
Recent work in the literature has studied the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time. The relevant quantum amplitudes have been evaluated for bosonic and fermionic fields, showing that no informa...
[ { "created": "Fri, 21 Jul 2006 12:43:13 GMT", "version": "v1" }, { "created": "Tue, 12 Sep 2006 06:00:30 GMT", "version": "v2" }, { "created": "Thu, 21 Sep 2006 12:55:10 GMT", "version": "v3" } ]
2009-11-11
[ [ "Di Grezia", "Elisabetta", "" ], [ "Esposito", "Giampiero", "" ], [ "Miele", "Gennaro", "" ] ]
Recent work in the literature has studied the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time. The relevant quantum amplitudes have been evaluated for bosonic and fermionic fields, showing that no informati...
1204.5202
Sayed Fawad Hassan
S. F. Hassan, A. Schmidt-May, M. von Strauss
Metric Formulation of Ghost-Free Multivielbein Theory
Latex, 11 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We formulate the recently proposed ghost-free theory of multiple interacting vielbeins in terms of their corresponding metrics. This is achieved by reintroducing all local Lorentz invariances broken by the multivielbein interaction potential which, in turn, allows us to explicitly separate the gauge degrees of freedo...
[ { "created": "Mon, 23 Apr 2012 20:23:02 GMT", "version": "v1" } ]
2012-04-25
[ [ "Hassan", "S. F.", "" ], [ "Schmidt-May", "A.", "" ], [ "von Strauss", "M.", "" ] ]
We formulate the recently proposed ghost-free theory of multiple interacting vielbeins in terms of their corresponding metrics. This is achieved by reintroducing all local Lorentz invariances broken by the multivielbein interaction potential which, in turn, allows us to explicitly separate the gauge degrees of freedom ...
2108.08208
Shahrokh Parvizi
Amir Moghimnejad and Shahrokh Parvizi
Circuit Complexity in $U(1)$ Gauge Theory
11 pages, submitted to MPLA
null
10.1142/S0217732321502400
null
hep-th
http://creativecommons.org/licenses/by/4.0/
We study circuit complexity for a free vector field of a $U(1)$ gauge theory in Coulomb gauge, and Gaussian states. We introduce a quantum circuit model with Gaussian states, including reference and target states. Using the Nielsen's geometric approach, the complexity then can be found as the shortest geodesic in the...
[ { "created": "Wed, 18 Aug 2021 15:43:47 GMT", "version": "v1" } ]
2021-12-15
[ [ "Moghimnejad", "Amir", "" ], [ "Parvizi", "Shahrokh", "" ] ]
We study circuit complexity for a free vector field of a $U(1)$ gauge theory in Coulomb gauge, and Gaussian states. We introduce a quantum circuit model with Gaussian states, including reference and target states. Using the Nielsen's geometric approach, the complexity then can be found as the shortest geodesic in the s...
2310.06038
Tajron Jurić Dr. sc.
Nikola Herceg, Tajron Juri\'c, Andjelo Samsarov, Ivica Smoli\'c
Metric perturbations in Noncommutative Gravity
23 pages, 3 figures, typos corrected, published in JHEP
J. High Energ. Phys. 2024, 130 (2024)
10.1007/JHEP06(2024)130
RBI-ThPhys-2023-38; ZTF-EP-23-06
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use the framework of Hopf algebra and noncommutative differential geometry to build a noncommutative (NC) theory of gravity in a bottom-up approach. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a Drinfeld twist. The final result of the construction is a general formalism ...
[ { "created": "Mon, 9 Oct 2023 18:00:07 GMT", "version": "v1" }, { "created": "Mon, 24 Jun 2024 12:14:34 GMT", "version": "v2" } ]
2024-06-25
[ [ "Herceg", "Nikola", "" ], [ "Jurić", "Tajron", "" ], [ "Samsarov", "Andjelo", "" ], [ "Smolić", "Ivica", "" ] ]
We use the framework of Hopf algebra and noncommutative differential geometry to build a noncommutative (NC) theory of gravity in a bottom-up approach. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a Drinfeld twist. The final result of the construction is a general formalism fo...
1612.00346
Massimo Giovannini
Massimo Giovannini
Stringy bounces and gradient instabilities
25 pages; comments added and corrected typos; to appear in Phys. Rev. D
Phys. Rev. D 95, 083506 (2017)
10.1103/PhysRevD.95.083506
CERN-TH/2016-194
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Bouncing solutions are obtained from a generally covariant action characterized by a potential which is a nonlocal functional of the dilaton field at two separated space-time points. Gradient instabilities are shown to arise in this context but they are argued to be nongeneric. After performing a gauge-invariant and ...
[ { "created": "Thu, 1 Dec 2016 16:47:15 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2017 10:14:36 GMT", "version": "v2" } ]
2017-04-12
[ [ "Giovannini", "Massimo", "" ] ]
Bouncing solutions are obtained from a generally covariant action characterized by a potential which is a nonlocal functional of the dilaton field at two separated space-time points. Gradient instabilities are shown to arise in this context but they are argued to be nongeneric. After performing a gauge-invariant and fr...
hep-th/9403090
null
J. S. Apps
Diffeomorphisms of Curved Manifolds
10 pages
null
null
MUTP/94/04
hep-th math.DG
null
We obtain an expression for the curvature of the Lie group SDiff$\cal M$ and use it to derive Lukatskii's formula for the case where $\cal M$ is locally Euclidean. We discuss qualitatively some previous findings for SDiff$S^{2}$ in conjunction with our result.
[ { "created": "Wed, 16 Mar 1994 13:06:59 GMT", "version": "v1" } ]
2008-02-03
[ [ "Apps", "J. S.", "" ] ]
We obtain an expression for the curvature of the Lie group SDiff$\cal M$ and use it to derive Lukatskii's formula for the case where $\cal M$ is locally Euclidean. We discuss qualitatively some previous findings for SDiff$S^{2}$ in conjunction with our result.
1603.01174
Alba Grassi
Giulio Bonelli, Alba Grassi, Alessandro Tanzini
Seiberg-Witten theory as a Fermi gas
25 pages. v3: misprints corrected,references added
null
10.1007/s11005-017-0945-z
null
hep-th math-ph math.MP math.SP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore a new connection between Seiberg-Witten theory and quantum statistical systems by relating the dual partition function of SU(2) Super Yang-Mills theory in a self-dual Omega-background to the spectral determinant of an ideal Fermi gas. We show that the spectrum of this gas is encoded in the zeroes of the Pa...
[ { "created": "Thu, 3 Mar 2016 16:56:04 GMT", "version": "v1" }, { "created": "Tue, 7 Jun 2016 08:30:22 GMT", "version": "v2" }, { "created": "Tue, 8 Nov 2016 09:42:30 GMT", "version": "v3" } ]
2017-07-12
[ [ "Bonelli", "Giulio", "" ], [ "Grassi", "Alba", "" ], [ "Tanzini", "Alessandro", "" ] ]
We explore a new connection between Seiberg-Witten theory and quantum statistical systems by relating the dual partition function of SU(2) Super Yang-Mills theory in a self-dual Omega-background to the spectral determinant of an ideal Fermi gas. We show that the spectrum of this gas is encoded in the zeroes of the Pain...
0804.4418
Andrzej Wereszczynski
C. Adam, J. Sanchez-Guillen, A. Wereszczynski
Infinitely many conservation laws in self-dual Yang--Mills theory
12 pages, extensively revised version. One section on previous results and some references added
JHEP0809:014,2008
10.1088/1126-6708/2008/09/014
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using a nonlocal field transformation for the gauge field known as Cho--Faddeev--Niemi--Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. These currents may be related to the ar...
[ { "created": "Mon, 28 Apr 2008 14:22:27 GMT", "version": "v1" }, { "created": "Wed, 9 Jul 2008 15:52:46 GMT", "version": "v2" } ]
2008-11-26
[ [ "Adam", "C.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ] ]
Using a nonlocal field transformation for the gauge field known as Cho--Faddeev--Niemi--Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. These currents may be related to the area...
hep-th/9604166
Igor Klebanov
I.R. Klebanov and A.A. Tseytlin
Intersecting M-branes as Four-Dimensional Black Holes
15 pages, harvmac; a reference added (the version to appear in Nulcear Physics B)
Nucl.Phys.B475:179-192,1996
10.1016/0550-3213(96)00338-0
PUPT-1616, Imperial/TP/95-96/41
hep-th
null
We present two 1/8 supersymmetric intersecting p-brane solutions of 11-dimensional supergravity which upon compactification to four dimensions reduce to extremal dyonic black holes with finite area of horizon. The first solution is a configuration of three intersecting 5-branes with an extra momentum flow along the c...
[ { "created": "Fri, 26 Apr 1996 00:59:45 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 1996 21:08:09 GMT", "version": "v2" }, { "created": "Fri, 31 May 1996 20:49:45 GMT", "version": "v3" }, { "created": "Sun, 23 Jun 1996 21:09:56 GMT", "version": "v4" } ]
2009-07-09
[ [ "Klebanov", "I. R.", "" ], [ "Tseytlin", "A. A.", "" ] ]
We present two 1/8 supersymmetric intersecting p-brane solutions of 11-dimensional supergravity which upon compactification to four dimensions reduce to extremal dyonic black holes with finite area of horizon. The first solution is a configuration of three intersecting 5-branes with an extra momentum flow along the com...
2302.01247
Anthony Guillen
Ignatios Antoniadis, Jules Cunat, Anthony Guillen
More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms
14 pages, 2 figures
null
10.1007/JHEP04(2023)002
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We extend the $2\rightarrow2$ gravitino scattering amplitude computed in [1] to an arbitrary $\mathcal{N}=1$ supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both $F$- and $D$-terms. We find that the cancellation of the leading term in $\mathca...
[ { "created": "Thu, 2 Feb 2023 17:28:26 GMT", "version": "v1" } ]
2023-04-19
[ [ "Antoniadis", "Ignatios", "" ], [ "Cunat", "Jules", "" ], [ "Guillen", "Anthony", "" ] ]
We extend the $2\rightarrow2$ gravitino scattering amplitude computed in [1] to an arbitrary $\mathcal{N}=1$ supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both $F$- and $D$-terms. We find that the cancellation of the leading term in $\mathcal{...
hep-th/0103250
Jonathan Mark Evans
Jonathan M. Evans
From PCM to KDV and Back
2 pages; plain TeX
null
null
PUPT-1956; DAMTP-2000-141
hep-th math-ph math.MP nlin.SI
null
This is a summary of progress made in understanding the occurrence and properties of local, conserved, commuting charges in non-linear sigma-models, including principal chiral models (PCMs) and WZW models. (Contribution to the NATO-ASI meeting: Integrable Hierarchies and Modern Physical Theories, University of Illino...
[ { "created": "Thu, 29 Mar 2001 15:16:38 GMT", "version": "v1" } ]
2007-05-23
[ [ "Evans", "Jonathan M.", "" ] ]
This is a summary of progress made in understanding the occurrence and properties of local, conserved, commuting charges in non-linear sigma-models, including principal chiral models (PCMs) and WZW models. (Contribution to the NATO-ASI meeting: Integrable Hierarchies and Modern Physical Theories, University of Illinois...
2406.18319
Banashree Baishya
Banashree Baishya, Adrita Chakraborty, Nibedita Padhi
A study of three butterflies: entanglement wedge method, OTOC and pole-skipping
25 pages, 2 figures
null
null
null
hep-th cond-mat.str-el gr-qc
http://creativecommons.org/licenses/by/4.0/
In this work, we investigate two salient chaotic features, namely Lyapunov exponent and butterfly velocity, in the context of an asymptotically Lifshitz black hole background with an arbitrary critical exponent. These features are computed using three methods: entanglement wedge method, out-of-time-ordered correlator...
[ { "created": "Wed, 26 Jun 2024 13:01:15 GMT", "version": "v1" }, { "created": "Sat, 29 Jun 2024 11:29:57 GMT", "version": "v2" } ]
2024-07-02
[ [ "Baishya", "Banashree", "" ], [ "Chakraborty", "Adrita", "" ], [ "Padhi", "Nibedita", "" ] ]
In this work, we investigate two salient chaotic features, namely Lyapunov exponent and butterfly velocity, in the context of an asymptotically Lifshitz black hole background with an arbitrary critical exponent. These features are computed using three methods: entanglement wedge method, out-of-time-ordered correlator c...
2201.09176
Prafulla Shrikant Oak Dr.
Prafulla Oak
Quivers for coloured planar $\phi^n$ theories at all loop orders for scattering processes from Feynman diagrams
29 pages. I have summarized the results from my earlier paper arXiv:2104.02543
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is known how to construct the quivers for $\phi^3$ theories for all loop orders. Here we extend this further to the case of theories for $\phi^n$ theories, for any n. We also construct the quivers for mixed theories. We do this at all loop order.
[ { "created": "Sun, 23 Jan 2022 04:46:07 GMT", "version": "v1" } ]
2022-01-25
[ [ "Oak", "Prafulla", "" ] ]
It is known how to construct the quivers for $\phi^3$ theories for all loop orders. Here we extend this further to the case of theories for $\phi^n$ theories, for any n. We also construct the quivers for mixed theories. We do this at all loop order.
1701.03239
Hirohumi Sawayanagi
Hirohumi Sawayanagi
The Gribov Horizon and Ghost Interactions in Euclidean Gauge Theories
To appear in Progress of Theoretical and Experimental Physics
Prog Theor Exp Phys (2017)
10.1093/ptep/ptx006
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The effect of the Gribov horizon in Euclidean $SU(2)$ gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero modes can produce additional ghost interactions, and the Landau gauge changes to a nonlinear gauge effectively. In the infrared limit, howeve...
[ { "created": "Thu, 12 Jan 2017 05:38:02 GMT", "version": "v1" } ]
2019-12-06
[ [ "Sawayanagi", "Hirohumi", "" ] ]
The effect of the Gribov horizon in Euclidean $SU(2)$ gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero modes can produce additional ghost interactions, and the Landau gauge changes to a nonlinear gauge effectively. In the infrared limit, however,...
hep-th/0006130
Carlos Pinheiro
Carlos Pinheiro (UFES, Brazil), J.A. Helayel-Neto (CBPF & UCP, Brazil), Gilmar S. Dias (UFES, Brazil)
Non Parallels Electric and Magnetic Fields in a F.R.W. Cosmology. Classical and Quantum Gravitational Implications
13 pages, AMStex
null
null
null
hep-th gr-qc
null
At first, we discuss parallels electric and magnetic fields solutions in a gravitational background. Then, considering eletromagnetic and gravitational waves symmetries we show a particular solution for stationary gravitational waves. Finally we consider gravitation as a gauge theory (effective gravitational theory),...
[ { "created": "Fri, 16 Jun 2000 22:46:28 GMT", "version": "v1" } ]
2007-05-23
[ [ "Pinheiro", "Carlos", "", "UFES, Brazil" ], [ "Helayel-Neto", "J. A.", "", "CBPF & UCP,\n Brazil" ], [ "Dias", "Gilmar S.", "", "UFES, Brazil" ] ]
At first, we discuss parallels electric and magnetic fields solutions in a gravitational background. Then, considering eletromagnetic and gravitational waves symmetries we show a particular solution for stationary gravitational waves. Finally we consider gravitation as a gauge theory (effective gravitational theory), e...
1909.04876
V. Didenko
V.E. Didenko, O.A. Gelfond, A.V. Korybut and M.A. Vasiliev
Limiting Shifted Homotopy in Higher-Spin Theory and Spin-Locality
49 pages. Few typos corrected, acknowledgments extended, clarifying eq. (6.29) added. Replaced with the journal version
null
10.1007/JHEP12(2019)086
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Higher-spin vertices containing up to quintic interactions at the Lagrangian level are explicitly calculated in the one-form sector of the non-linear unfolded higher-spin equations using a $\beta\to-\infty$--shifted contracting homotopy introduced in the paper. The problem is solved in a background independent way an...
[ { "created": "Wed, 11 Sep 2019 07:04:08 GMT", "version": "v1" }, { "created": "Tue, 7 Jan 2020 10:22:19 GMT", "version": "v2" } ]
2020-01-29
[ [ "Didenko", "V. E.", "" ], [ "Gelfond", "O. A.", "" ], [ "Korybut", "A. V.", "" ], [ "Vasiliev", "M. A.", "" ] ]
Higher-spin vertices containing up to quintic interactions at the Lagrangian level are explicitly calculated in the one-form sector of the non-linear unfolded higher-spin equations using a $\beta\to-\infty$--shifted contracting homotopy introduced in the paper. The problem is solved in a background independent way and ...
hep-th/9406008
Per Berglund
P. Berglund and S. Katz
Mirror Symmetry Constructions: A Review
26 pages, harvmac
null
null
IASSNS-HEP-94/38; OSU Math 1994-2
hep-th alg-geom math.AG
null
We review various constructions of mirror symmetry in terms of Landau-Ginzburg orbifolds for arbitrary central charge $c$ and \CY\ hypersurfaces and complete intersections in toric varieties. In particular it is shown how the different techniques are related
[ { "created": "Fri, 3 Jun 1994 03:27:17 GMT", "version": "v1" }, { "created": "Tue, 12 Jul 1994 20:30:22 GMT", "version": "v2" } ]
2008-02-03
[ [ "Berglund", "P.", "" ], [ "Katz", "S.", "" ] ]
We review various constructions of mirror symmetry in terms of Landau-Ginzburg orbifolds for arbitrary central charge $c$ and \CY\ hypersurfaces and complete intersections in toric varieties. In particular it is shown how the different techniques are related
2111.07351
Yu-Xiao Liu
Le-Chen Qu, Jing Chen, Yu-Xiao Liu
Chaos and Complexity for Inverted Harmonic Oscillators
20 pages, 2 figures, references added
Phys.Rev.D 105 (2022) 126015
10.1103/PhysRevD.105.126015
null
hep-th
http://creativecommons.org/licenses/by-nc-sa/4.0/
We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic oscillators. Focusing on the chaotic behaviors under the perturbation, we analytically derive the Lyapunov exponent and scrambling time of the inverted harmonic oscillators. We show that the circuit complexity and Loschmidt echo exhi...
[ { "created": "Sun, 14 Nov 2021 14:11:36 GMT", "version": "v1" }, { "created": "Sat, 20 Nov 2021 13:24:42 GMT", "version": "v2" } ]
2022-11-22
[ [ "Qu", "Le-Chen", "" ], [ "Chen", "Jing", "" ], [ "Liu", "Yu-Xiao", "" ] ]
We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic oscillators. Focusing on the chaotic behaviors under the perturbation, we analytically derive the Lyapunov exponent and scrambling time of the inverted harmonic oscillators. We show that the circuit complexity and Loschmidt echo exhibi...
hep-th/0312296
Andrea Cappelli
A. Cappelli, G. D'Appollonio, M. Zabzine
Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions
42 pages, 13 figures
JHEP 0404 (2004) 010
10.1088/1126-6708/2004/04/010
LPTHE-03-39
hep-th cond-mat
null
The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations become non-trivial and are found to obey the soliton equations. The conformal invariant boundary conditions are charact...
[ { "created": "Sat, 27 Dec 2003 12:26:47 GMT", "version": "v1" }, { "created": "Thu, 22 Jan 2004 17:09:45 GMT", "version": "v2" } ]
2009-11-10
[ [ "Cappelli", "A.", "" ], [ "D'Appollonio", "G.", "" ], [ "Zabzine", "M.", "" ] ]
The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations become non-trivial and are found to obey the soliton equations. The conformal invariant boundary conditions are character...
1403.7409
Gonzalo Olmo
Andrey N. Makarenko, Sergei Odintsov, and Gonzalo J. Olmo
Born-Infeld-$f(R)$ gravity
33 pages, 11 figures, extended version accepted for publication in Phys.Rev. D
Phys. Rev. D 90, 024066 (2014)
10.1103/PhysRevD.90.024066
IFIC/14-23
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by the properties of matter quantum fields in curved space-times, we work out a gravity theory that combines the Born-Infeld gravity Lagrangian with an $f(R)$ piece. To avoid ghost-like instabilities, the theory is formulated within the Palatini approach. This construction provides more freedom to address a...
[ { "created": "Fri, 28 Mar 2014 15:07:13 GMT", "version": "v1" }, { "created": "Fri, 4 Jul 2014 14:06:39 GMT", "version": "v2" } ]
2014-09-18
[ [ "Makarenko", "Andrey N.", "" ], [ "Odintsov", "Sergei", "" ], [ "Olmo", "Gonzalo J.", "" ] ]
Motivated by the properties of matter quantum fields in curved space-times, we work out a gravity theory that combines the Born-Infeld gravity Lagrangian with an $f(R)$ piece. To avoid ghost-like instabilities, the theory is formulated within the Palatini approach. This construction provides more freedom to address a n...
2205.02903
Vitor Emanuel Rodino Lemes
R. L. P. G. Amaral, V. E. R. Lemes, O. S. Ventura, L.C.Q.Vilar
A BRST view of the spontaneous symmetry breaking
16 pages. No figures
null
10.1103/PhysRevD.105.125007
null
hep-th
http://creativecommons.org/licenses/by/4.0/
After the phase transition of a Grand Unified Theory (GUT), its single coupling splits into the couplings of the basic interactions. On the other side, the measurement of the Weinberg mixing angle in the eletroweak theory determines that the couplings associated to the SU(2) and U(1) symmetries were already distinct ...
[ { "created": "Thu, 5 May 2022 19:49:06 GMT", "version": "v1" } ]
2022-06-22
[ [ "Amaral", "R. L. P. G.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Ventura", "O. S.", "" ], [ "Vilar", "L. C. Q.", "" ] ]
After the phase transition of a Grand Unified Theory (GUT), its single coupling splits into the couplings of the basic interactions. On the other side, the measurement of the Weinberg mixing angle in the eletroweak theory determines that the couplings associated to the SU(2) and U(1) symmetries were already distinct in...
1606.07186
Hirotaka Kato
Yosuke Imamura, Hirotaka Kato, and Daisuke Yokoyama
Supersymmetry Enhancement and Junctions in S-folds
30 pages, 7 figures, v2: minor corrections, version accepted for publication in JHEP
null
10.1007/JHEP10(2016)150
TIT/HEP-655, KCL-MTH-16-03
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study supersymmetry enhancement from ${\cal N}=3$ to ${\cal N}=4$ proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex centr...
[ { "created": "Thu, 23 Jun 2016 04:53:17 GMT", "version": "v1" }, { "created": "Wed, 26 Oct 2016 08:04:28 GMT", "version": "v2" } ]
2016-11-23
[ [ "Imamura", "Yosuke", "" ], [ "Kato", "Hirotaka", "" ], [ "Yokoyama", "Daisuke", "" ] ]
We study supersymmetry enhancement from ${\cal N}=3$ to ${\cal N}=4$ proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex central...
hep-th/9903246
Gianluca Grignani
G. Grignani and G. W. Semenoff
Thermodynamic Partition Function of Matrix Superstrings
32 pages, 1 latex figure; some misprints corrected
Nucl.Phys. B561 (1999) 243-272
10.1016/S0550-3213(99)00519-2
null
hep-th
null
We show that, in the limit of zero string coupling, $g_s \to 0$, the thermodynamic partition function of matrix string theory is identical to that of the finite temperature, discrete light-cone quantised (DLCQ) type IIA superstring. We discuss how the superstring is recovered in the decompactified $R^+\to\infty$ limi...
[ { "created": "Mon, 29 Mar 1999 17:32:10 GMT", "version": "v1" }, { "created": "Tue, 20 Apr 1999 05:07:57 GMT", "version": "v2" }, { "created": "Mon, 5 Feb 2001 12:39:37 GMT", "version": "v3" } ]
2009-10-31
[ [ "Grignani", "G.", "" ], [ "Semenoff", "G. W.", "" ] ]
We show that, in the limit of zero string coupling, $g_s \to 0$, the thermodynamic partition function of matrix string theory is identical to that of the finite temperature, discrete light-cone quantised (DLCQ) type IIA superstring. We discuss how the superstring is recovered in the decompactified $R^+\to\infty$ limit.
0904.0046
Naoki Sasakura
Naoki Sasakura
Gauge fixing in the tensor model and emergence of local gauge symmetries
18 pages, 5 figures
Prog.Theor.Phys.122:309-322,2009
10.1143/PTP.122.309
YITP-09-22
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The tensor model can be regarded as theory of dynamical fuzzy spaces, and gives a way to formulate gravity on fuzzy spaces. It has recently been shown that the low-lying fluctuations around the Gaussian background solutions in the tensor model agree correctly with the metric fluctuations on the flat spaces with gener...
[ { "created": "Wed, 1 Apr 2009 01:38:59 GMT", "version": "v1" } ]
2009-11-19
[ [ "Sasakura", "Naoki", "" ] ]
The tensor model can be regarded as theory of dynamical fuzzy spaces, and gives a way to formulate gravity on fuzzy spaces. It has recently been shown that the low-lying fluctuations around the Gaussian background solutions in the tensor model agree correctly with the metric fluctuations on the flat spaces with general...
1003.4265
Alexander Westphal
Temple He, Shamit Kachru and Alexander Westphal
Gravity waves and the LHC: Towards high-scale inflation with low-energy SUSY
21+1 pages, 5 figures, LaTeX, v2: added references, v3: very minor changes, version to appear in JHEP
JHEP 1006:065,2010
10.1007/JHEP06(2010)065
SU-ITP-10-13
hep-th astro-ph.CO hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It has been argued that rather generic features of string-inspired inflationary theories with low-energy supersymmetry (SUSY) make it difficult to achieve inflation with a Hubble scale H > m_{3/2}, where m_{3/2} is the gravitino mass in the SUSY-breaking vacuum state. We present a class of string-inspired supergravit...
[ { "created": "Mon, 22 Mar 2010 20:10:52 GMT", "version": "v1" }, { "created": "Sat, 3 Apr 2010 00:11:48 GMT", "version": "v2" }, { "created": "Thu, 27 May 2010 00:48:23 GMT", "version": "v3" } ]
2015-03-13
[ [ "He", "Temple", "" ], [ "Kachru", "Shamit", "" ], [ "Westphal", "Alexander", "" ] ]
It has been argued that rather generic features of string-inspired inflationary theories with low-energy supersymmetry (SUSY) make it difficult to achieve inflation with a Hubble scale H > m_{3/2}, where m_{3/2} is the gravitino mass in the SUSY-breaking vacuum state. We present a class of string-inspired supergravity ...
2401.09781
Chen Huang
Chen Huang
Higher-Point Gauge-Theory Couplings of Massive Spin-2 States in 4-Dimensional String Theories
null
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$ points. More specifically, we consider the interaction of one first excited level...
[ { "created": "Thu, 18 Jan 2024 08:02:12 GMT", "version": "v1" } ]
2024-01-19
[ [ "Huang", "Chen", "" ] ]
We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$ points. More specifically, we consider the interaction of one first excited level a...
2101.03974
Luca Ciambelli
Luca Ciambelli and Robert G. Leigh
Lie Algebroids and the Geometry of Off-shell BRST
42 pages, Latex, v2
null
10.1016/j.nuclphysb.2021.115553
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated bundles. This turns out to be a simple but elegant change, mathematically inv...
[ { "created": "Mon, 11 Jan 2021 15:30:24 GMT", "version": "v1" }, { "created": "Tue, 21 Sep 2021 16:40:25 GMT", "version": "v2" } ]
2021-10-04
[ [ "Ciambelli", "Luca", "" ], [ "Leigh", "Robert G.", "" ] ]
It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated bundles. This turns out to be a simple but elegant change, mathematically invol...
hep-th/9806112
Hyun Seok Yang
Hyun Seok Yang, Inbo Kim, and Bum-Hoon Lee
Pointlike structure for super p-branes
22 pages, corrected typos, to appear in Phys. Rev. D58, 085018 (1998)
Phys.Rev. D58 (1998) 085018
10.1103/PhysRevD.58.085018
SOGANG-HEP 236/98, SNUTP 98-057
hep-th
null
We present an efficient method to understand the p-brane dynamics in a unified framework. For this purpose, we reformulate the action for super p-branes in the form appropriate to incorporate the pointlike (parton) structure of higher dimensional p-branes and intend to interpret the p-brane dynamics as the collective...
[ { "created": "Mon, 15 Jun 1998 02:11:57 GMT", "version": "v1" }, { "created": "Mon, 21 Sep 1998 03:47:08 GMT", "version": "v2" } ]
2009-10-31
[ [ "Yang", "Hyun Seok", "" ], [ "Kim", "Inbo", "" ], [ "Lee", "Bum-Hoon", "" ] ]
We present an efficient method to understand the p-brane dynamics in a unified framework. For this purpose, we reformulate the action for super p-branes in the form appropriate to incorporate the pointlike (parton) structure of higher dimensional p-branes and intend to interpret the p-brane dynamics as the collective d...
2207.09175
Thomas Oosthuyse
Fabrizio Canfora, David Dudal, Thomas Oosthuyse, Pablo Pais, Luigi Rosa
The Casimir effect in chiral media using path integral techniques
25 pages, 6 figures
J. High Energ. Phys. 2022, 95 (2022)
10.1007/JHEP09(2022)095
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and perfect magnetic conditions, are implemented directly in the action by the usage of...
[ { "created": "Tue, 19 Jul 2022 10:22:22 GMT", "version": "v1" }, { "created": "Thu, 11 Aug 2022 15:15:48 GMT", "version": "v2" }, { "created": "Sat, 20 Aug 2022 11:20:24 GMT", "version": "v3" } ]
2023-02-10
[ [ "Canfora", "Fabrizio", "" ], [ "Dudal", "David", "" ], [ "Oosthuyse", "Thomas", "" ], [ "Pais", "Pablo", "" ], [ "Rosa", "Luigi", "" ] ]
We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and perfect magnetic conditions, are implemented directly in the action by the usage of a...
hep-th/9802153
Piljin Yi
Piljin Yi
BPS Mass, Dirichlet Boundary Condition, and the Isotropic Coordinate System
LaTeX, 11 pages, no figure
Phys.Rev.D58:066001,1998
10.1103/PhysRevD.58.066001
CLNS-98/1543
hep-th
null
We consider test strings and test branes ending on D$p$-branes ($p\le 6$) and NS5-branes in the background, for a heuristic understanding of the dynamics. Whenever some supersymmetry is preserved, a simple BPS bound appears, but the central charge in question is measured by certain isotropic coordinate system, rather...
[ { "created": "Mon, 23 Feb 1998 17:14:43 GMT", "version": "v1" } ]
2014-11-18
[ [ "Yi", "Piljin", "" ] ]
We consider test strings and test branes ending on D$p$-branes ($p\le 6$) and NS5-branes in the background, for a heuristic understanding of the dynamics. Whenever some supersymmetry is preserved, a simple BPS bound appears, but the central charge in question is measured by certain isotropic coordinate system, rather t...
hep-th/9909196
Yuji Ohta
Yuji Ohta (Res. Inst. Math. Sci., Kyoto Univ.)
Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
revtex, 15 pages, to be published in Journal of Mathematical Physics
J.Math.Phys. 41 (2000) 4541-4550
10.1063/1.533360
null
hep-th
null
Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the instanton induced prepotential reduces to that of the SU(2) gauge theory coupled with a massive adjoint hypermultiplet.
[ { "created": "Tue, 28 Sep 1999 09:23:06 GMT", "version": "v1" }, { "created": "Mon, 4 Oct 1999 09:58:41 GMT", "version": "v2" }, { "created": "Fri, 28 Jan 2000 11:41:33 GMT", "version": "v3" } ]
2009-10-31
[ [ "Ohta", "Yuji", "", "Res. Inst. Math. Sci., Kyoto Univ." ] ]
Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the instanton induced prepotential reduces to that of the SU(2) gauge theory coupled with a massive adjoint hypermultiplet.
2110.03497
Silvia Pappalardi
Silvia Pappalardi, Laura Foini and Jorge Kurchan
Quantum bounds and fluctuation-dissipation relations
12 pages, 3 figures. Improved version of the manuscript
SciPost Phys. 12, 130 (2022)
10.21468/SciPostPhys.12.4.130
null
hep-th cond-mat.stat-mech quant-ph
http://creativecommons.org/licenses/by/4.0/
In recent years, there has been intense attention on the constraints posed by quantum mechanics on the dynamics of the correlation at low temperatures, triggered by the postulation and derivation of quantum bounds on the transport coefficients or on the chaos rate. However, the physical meaning and the mechanism enfo...
[ { "created": "Thu, 7 Oct 2021 14:34:41 GMT", "version": "v1" }, { "created": "Wed, 24 Nov 2021 16:47:46 GMT", "version": "v2" }, { "created": "Mon, 13 Dec 2021 15:09:55 GMT", "version": "v3" } ]
2022-04-20
[ [ "Pappalardi", "Silvia", "" ], [ "Foini", "Laura", "" ], [ "Kurchan", "Jorge", "" ] ]
In recent years, there has been intense attention on the constraints posed by quantum mechanics on the dynamics of the correlation at low temperatures, triggered by the postulation and derivation of quantum bounds on the transport coefficients or on the chaos rate. However, the physical meaning and the mechanism enforc...
hep-th/0412079
Mary K. Gaillard
Mary K. Gaillard
R-parity from the heterotic string
9 pages
Phys.Rev.Lett.94:141601,2005
10.1103/PhysRevLett.94.141601
LBNL-56687, UCB-PTH-04/35
hep-th hep-ph
null
In T-duality invariant effective supergravity with gaugino condensation as the mechanism for supersymmetry breaking, there is a residual discrete symmetry that could play the role of R-parity in supersymmetric extensions of the Standard Model.
[ { "created": "Tue, 7 Dec 2004 21:06:21 GMT", "version": "v1" } ]
2014-11-18
[ [ "Gaillard", "Mary K.", "" ] ]
In T-duality invariant effective supergravity with gaugino condensation as the mechanism for supersymmetry breaking, there is a residual discrete symmetry that could play the role of R-parity in supersymmetric extensions of the Standard Model.
1104.3063
Harry Thacker
H. B. Thacker, Chi Xiong, and A. Kamat
Chiral quark dynamics and topological charge: The role of the Ramond-Ramond U(1) Gauge Field in Holographic QCD
20 pages, 7 figures
null
10.1103/PhysRevD.84.105011
null
hep-th hep-lat hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Witten-Sakai-Sugimoto construction of holographic QCD in terms of D4 color branes and D8 flavor branes in type IIA string theory is used to investigate the role of topological charge in the chiral dynamics of quarks in QCD. The QCD theta term arises from a compactified 5-dimensional Chern-Simons term on the D4 br...
[ { "created": "Fri, 15 Apr 2011 14:06:30 GMT", "version": "v1" } ]
2015-03-19
[ [ "Thacker", "H. B.", "" ], [ "Xiong", "Chi", "" ], [ "Kamat", "A.", "" ] ]
The Witten-Sakai-Sugimoto construction of holographic QCD in terms of D4 color branes and D8 flavor branes in type IIA string theory is used to investigate the role of topological charge in the chiral dynamics of quarks in QCD. The QCD theta term arises from a compactified 5-dimensional Chern-Simons term on the D4 bran...
hep-th/0609130
Michael Karowski
Hratchya M. Babujian, Angela Foerster and Michael Karowski
The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz
This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 2:082,2006
10.3842/SIGMA.2006.082
null
hep-th
null
The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu model. The nested off-shell Bethe ansa...
[ { "created": "Tue, 19 Sep 2006 14:57:02 GMT", "version": "v1" }, { "created": "Fri, 29 Sep 2006 09:05:21 GMT", "version": "v2" }, { "created": "Thu, 16 Nov 2006 13:36:53 GMT", "version": "v3" }, { "created": "Thu, 23 Nov 2006 15:02:55 GMT", "version": "v4" } ]
2008-12-19
[ [ "Babujian", "Hratchya M.", "" ], [ "Foerster", "Angela", "" ], [ "Karowski", "Michael", "" ] ]
The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu model. The nested off-shell Bethe ansatz...
2204.05301
Natalie Paquette
Kevin Costello, Natalie M. Paquette
On the associativity of one-loop corrections to the celestial OPE
12 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There has been recent interest in the question of whether QCD collinear singularities can be viewed as the OPE of a two-dimensional CFT. We analyze a version of this question for the self-dual limit of pure gauge theory (incorporating states of both helicities). We show that the known one-loop collinear singulaties d...
[ { "created": "Mon, 11 Apr 2022 17:57:19 GMT", "version": "v1" } ]
2022-04-12
[ [ "Costello", "Kevin", "" ], [ "Paquette", "Natalie M.", "" ] ]
There has been recent interest in the question of whether QCD collinear singularities can be viewed as the OPE of a two-dimensional CFT. We analyze a version of this question for the self-dual limit of pure gauge theory (incorporating states of both helicities). We show that the known one-loop collinear singulaties do ...
1406.5987
Andrei Smilga
A.V. Smilga
Super-Yang-Mills quantum mechanics and supermembrane spectrum
10 pages, 2 figures. Published in the Proceedings of the conference on Supermembranes and Physics in 2+1 Dimensions (Trieste, 1989). Commas and articles added
null
null
Bern preprint BUTP-89/24
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is shown that the mass spectrum of supermembrane theory is continuous. This fact is due to the trivial circumstance that a membrane can emit "needles" of zero area with no cost in energy. In supersymmetric case, this classical degeneracy is not lifted by quantum corrections. This unpleasant property may be cured, ...
[ { "created": "Mon, 23 Jun 2014 17:13:05 GMT", "version": "v1" } ]
2014-06-24
[ [ "Smilga", "A. V.", "" ] ]
It is shown that the mass spectrum of supermembrane theory is continuous. This fact is due to the trivial circumstance that a membrane can emit "needles" of zero area with no cost in energy. In supersymmetric case, this classical degeneracy is not lifted by quantum corrections. This unpleasant property may be cured, pe...
hep-th/9503001
Henryk Arodz
H. Arodz
Expansion in the Width: the Case of Vortices
25 pages, LaTeX, no figures
Nucl.Phys. B450 (1995) 189-208
10.1016/0550-3213(95)00386-7
TPJU-3/95
hep-th cond-mat gr-qc
null
We construct an approximate solution of field equations in the Abelian Higgs model which describes motion of a curved vortex. The solution is found to the first order in the inverse mass of the Higgs field with the help of the Hilbert-Chapman-Enskog method. Consistency conditions for the approximate solution are obta...
[ { "created": "Wed, 1 Mar 1995 08:19:34 GMT", "version": "v1" } ]
2016-09-06
[ [ "Arodz", "H.", "" ] ]
We construct an approximate solution of field equations in the Abelian Higgs model which describes motion of a curved vortex. The solution is found to the first order in the inverse mass of the Higgs field with the help of the Hilbert-Chapman-Enskog method. Consistency conditions for the approximate solution are obtain...
hep-th/9708104
Yang Ji-feng
Jifeng Yang (Phys. Dept., Fudan Univ., Shanghai, P. R. China)
Finite quantum field theory from a natural postulate
8 pages, LaTex, no figures
null
null
null
hep-th hep-ph
null
A new approach is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (that is complete and well-defined in all respects) according to the nowaday's standard point of view. No subtraction procedure, counter terms and hence bare parameters ...
[ { "created": "Wed, 20 Aug 1997 01:14:59 GMT", "version": "v1" }, { "created": "Thu, 25 Sep 1997 10:20:03 GMT", "version": "v2" }, { "created": "Mon, 16 Feb 1998 06:54:03 GMT", "version": "v3" }, { "created": "Thu, 26 Mar 1998 08:34:38 GMT", "version": "v4" } ]
2008-02-03
[ [ "Yang", "Jifeng", "", "Phys. Dept., Fudan Univ., Shanghai, P. R. China" ] ]
A new approach is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (that is complete and well-defined in all respects) according to the nowaday's standard point of view. No subtraction procedure, counter terms and hence bare parameters ar...
hep-th/9112052
null
Sumit R. Das, Avinash Dhar, Gautam Mandal and Spenta R. Wadia
$W$-Infinity Ward Identities and Correlation Functions in the $C=1$ Matrix Model
17 pages
Mod.Phys.Lett. A7 (1992) 937-954; Erratum-ibid. A7 (1992) 2245
10.1142/S0217732392000835
null
hep-th
null
We explore consequences of $W$-infinity symmetry in the fermionic field theory of the $c=1$ matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator. These identities can be expressed as equations satisfied by the effective action of a {\it three} dimensional theory and con...
[ { "created": "Thu, 19 Dec 1991 18:37:00 GMT", "version": "v1" } ]
2009-10-22
[ [ "Das", "Sumit R.", "" ], [ "Dhar", "Avinash", "" ], [ "Mandal", "Gautam", "" ], [ "Wadia", "Spenta R.", "" ] ]
We explore consequences of $W$-infinity symmetry in the fermionic field theory of the $c=1$ matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator. These identities can be expressed as equations satisfied by the effective action of a {\it three} dimensional theory and conta...
hep-th/9906091
Sergei Bulgadaev
S.A.Bulgadaev (Landau Institute, Moscow)
BKT phase transitions in two-dimensional systems with internal symmetries
18 pages, 1 figure, modernized version
null
null
Landau Institute preprint 01/06/97
hep-th cond-mat
null
The Berezinsky-Kosterlitz-Thouless (BKT) type phase transitions in two-dimensional systems with internal abelian continuous symmetries are investigated. The necessary conditions for they can take place are: 1) conformal invariance of the kinetic part of the model action, 2) vacuum manifold must be degenerated with ab...
[ { "created": "Sat, 12 Jun 1999 13:53:02 GMT", "version": "v1" } ]
2016-09-06
[ [ "Bulgadaev", "S. A.", "", "Landau Institute, Moscow" ] ]
The Berezinsky-Kosterlitz-Thouless (BKT) type phase transitions in two-dimensional systems with internal abelian continuous symmetries are investigated. The necessary conditions for they can take place are: 1) conformal invariance of the kinetic part of the model action, 2) vacuum manifold must be degenerated with abel...
1301.1560
Robert de Mello Koch
Pawel Caputa, Robert de Mello Koch and Pablo Diaz
A basis for large operators in N=4 SYM with orthogonal gauge group
29 pages; minor typos corrected
null
10.1007/JHEP03(2013)041
WITS-CTP-110
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop techniques to study the correlation functions of "large operators" whose bare dimension grows parametrically with N, in SO(N) gauge theory. We build the operators from a single complex matrix. For these operators, the large N limit of correlation functions is not captured by summing only the planar diagram...
[ { "created": "Tue, 8 Jan 2013 15:18:07 GMT", "version": "v1" }, { "created": "Tue, 22 Jan 2013 10:19:08 GMT", "version": "v2" } ]
2015-06-12
[ [ "Caputa", "Pawel", "" ], [ "Koch", "Robert de Mello", "" ], [ "Diaz", "Pablo", "" ] ]
We develop techniques to study the correlation functions of "large operators" whose bare dimension grows parametrically with N, in SO(N) gauge theory. We build the operators from a single complex matrix. For these operators, the large N limit of correlation functions is not captured by summing only the planar diagrams....
hep-th/0003164
Katsuyuki Sugiyama
Katsuyuki Sugiyama (Kyoto Univ.)
K\"ahler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$
10 pages, 2 figures
J.Math.Phys. 41 (2000) 8339-8348
10.1063/1.1319848
null
hep-th
null
We study a kaehler potential K of a one parameter family of Calabi-Yau d-fold embedded in CP^{d+1}. By comparing results of the topological B-model and the data of the CFT calculation at Gepner point, the K is determined unambiguously. It has a moduli parameter psi that describes a deformation of the CFT by a margina...
[ { "created": "Mon, 20 Mar 2000 04:01:49 GMT", "version": "v1" } ]
2009-10-31
[ [ "Sugiyama", "Katsuyuki", "", "Kyoto Univ." ] ]
We study a kaehler potential K of a one parameter family of Calabi-Yau d-fold embedded in CP^{d+1}. By comparing results of the topological B-model and the data of the CFT calculation at Gepner point, the K is determined unambiguously. It has a moduli parameter psi that describes a deformation of the CFT by a marginal ...
hep-th/9508162
Seungjoon Hyun
Seungjoon Hyun, Jaemo Park and Jae-Suk Park
N=2 Supersymmetric QCD and Four Manifolds; (I) the Donaldson and the Seiberg-Witten Invariants
53 pages, harvmac, no figures; Revised version (Some typos and expressions are corrected.)
null
null
YUMS-95-13, CALT-68-1995, SWAT/69
hep-th alg-geom dg-ga math.AG math.DG
null
We study the path integral of a twisted $N=2$ supersymmetric Yang-Mills theory coupled with hypermultiplet having the bare mass. We explicitly compute the topological correlation functions for the $SU(2)$ theory on a compact oriented simply connected simple type Riemann manifold with $b_2^+ \geq 3$. As the corollarie...
[ { "created": "Wed, 30 Aug 1995 03:14:24 GMT", "version": "v1" }, { "created": "Thu, 5 Oct 1995 08:04:05 GMT", "version": "v2" } ]
2008-02-03
[ [ "Hyun", "Seungjoon", "" ], [ "Park", "Jaemo", "" ], [ "Park", "Jae-Suk", "" ] ]
We study the path integral of a twisted $N=2$ supersymmetric Yang-Mills theory coupled with hypermultiplet having the bare mass. We explicitly compute the topological correlation functions for the $SU(2)$ theory on a compact oriented simply connected simple type Riemann manifold with $b_2^+ \geq 3$. As the corollaries,...
hep-th/0002187
Jose Fernandez Barbon
J.L.F. Barbon and A. Pasquinucci
A Note on Interactions of (Non-Commutative) Instantons Via AdS/CFT
harvmac, 13 pp
Phys.Lett. B482 (2000) 293-301
10.1016/S0370-2693(00)00518-9
CERN-TH/2000-062, IFUM/653
hep-th
null
We consider the interaction between instantons and anti-instantons in four-dimensional N=4 super-Yang-Mills theory at large N and large 't Hooft coupling as described by D-instantons via AdS/CFT duality. We give an estimate of the strength of the interaction in various regimes. We discuss also the case of Non-Commuta...
[ { "created": "Tue, 22 Feb 2000 22:26:02 GMT", "version": "v1" } ]
2009-10-31
[ [ "Barbon", "J. L. F.", "" ], [ "Pasquinucci", "A.", "" ] ]
We consider the interaction between instantons and anti-instantons in four-dimensional N=4 super-Yang-Mills theory at large N and large 't Hooft coupling as described by D-instantons via AdS/CFT duality. We give an estimate of the strength of the interaction in various regimes. We discuss also the case of Non-Commutati...
1211.4030
Francesco Benini
Francesco Benini, Nikolay Bobev
Exact two-dimensional superconformal R-symmetry and c-extremization
4 pages; v2: minor modifications and refs updated
Phys.Rev.Lett.110:061601,2013
10.1103/PhysRevLett.110.061601
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We uncover a general principle, dubbed c-extremization, which determines the exact R-symmetry of a two-dimensional unitary superconformal field theory with N=(0,2) supersymmetry. To illustrate its utility, we study superconformal theories obtained by twisted compactifications of four-dimensional N=4 super-Yang-Mills ...
[ { "created": "Fri, 16 Nov 2012 21:00:02 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2013 18:05:54 GMT", "version": "v2" } ]
2013-03-07
[ [ "Benini", "Francesco", "" ], [ "Bobev", "Nikolay", "" ] ]
We uncover a general principle, dubbed c-extremization, which determines the exact R-symmetry of a two-dimensional unitary superconformal field theory with N=(0,2) supersymmetry. To illustrate its utility, we study superconformal theories obtained by twisted compactifications of four-dimensional N=4 super-Yang-Mills on...
0806.0501
Roberto Casadio
Roberto Casadio
Gravitational renormalization of quantum field theory
Latex, 14 pages, 4 figures. Final version to appear in IJMPA
null
10.1142/S0217751X12501862
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose to include gravity in quantum field theory non-perturbatively, by modifying the propagators so that each virtual particle in a Feynman graph move in the space-time determined by the four-momenta of the other particles in the same graph. By making additional working assumptions, we are able to put this idea...
[ { "created": "Tue, 3 Jun 2008 11:29:28 GMT", "version": "v1" }, { "created": "Wed, 10 Sep 2008 12:33:13 GMT", "version": "v2" }, { "created": "Wed, 4 Jan 2012 09:22:21 GMT", "version": "v3" }, { "created": "Tue, 20 Nov 2012 08:33:06 GMT", "version": "v4" } ]
2015-05-13
[ [ "Casadio", "Roberto", "" ] ]
We propose to include gravity in quantum field theory non-perturbatively, by modifying the propagators so that each virtual particle in a Feynman graph move in the space-time determined by the four-momenta of the other particles in the same graph. By making additional working assumptions, we are able to put this idea a...
hep-th/9206013
null
Shahn Majid and M.J Rodriguez-Plaza
Quantum and super-quantum group related to the Alexander-Conway polynomial
8 pages, LaTex file, Talk given at the XXVIII Karpacz Winter School, Karpacz, Poland, February 1992
null
10.1016/0393-0440(93)90069-Q
null
hep-th
null
We describe the quasitriangular structure (universal $R$-matrix) on the non-standard quantum group $U_q(H_1,H_2,X^\pm)$ associated to the Alexander-Conway matrix solution of the Yang-Baxter equation. We show that this Hopf algebra is connected with the super-Hopf algebra $U_qgl(1|1)$ by a general process of superizat...
[ { "created": "Wed, 3 Jun 1992 10:13:00 GMT", "version": "v1" } ]
2009-10-22
[ [ "Majid", "Shahn", "" ], [ "Rodriguez-Plaza", "M. J", "" ] ]
We describe the quasitriangular structure (universal $R$-matrix) on the non-standard quantum group $U_q(H_1,H_2,X^\pm)$ associated to the Alexander-Conway matrix solution of the Yang-Baxter equation. We show that this Hopf algebra is connected with the super-Hopf algebra $U_qgl(1|1)$ by a general process of superizatio...
1805.00963
Raquel Santos
Enrique Alvarez, Jesus Anero, Guillermo Milans del Bosch and Raquel Santos-Garcia
Quasi-local energy and compactification
11 pages, 2 figures
null
10.1007/JHEP06(2018)069
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Based on the quasi-local energy definition of Brown and York, we compute the integral of the trace of the extrinsic curvature over a codimension-2 hypersurface. In particular, we study the difference between the uncompactified Minkowski spacetime and the toroidal Kaluza-Klein compactification. For the latter, we find...
[ { "created": "Wed, 2 May 2018 18:19:16 GMT", "version": "v1" } ]
2018-08-01
[ [ "Alvarez", "Enrique", "" ], [ "Anero", "Jesus", "" ], [ "del Bosch", "Guillermo Milans", "" ], [ "Santos-Garcia", "Raquel", "" ] ]
Based on the quasi-local energy definition of Brown and York, we compute the integral of the trace of the extrinsic curvature over a codimension-2 hypersurface. In particular, we study the difference between the uncompactified Minkowski spacetime and the toroidal Kaluza-Klein compactification. For the latter, we find t...
hep-th/0209127
Alexander Gorsky
A. Gorsky
String/Gauge Correspondence; View from the High Energy Side
Latex, 12 pages, acknowledgment added
null
null
null
hep-th hep-ph
null
We briefly review the recent progress concerning the application of the hidden integrability to the derivation of the stringy/brane picture for the high energy QCD.
[ { "created": "Mon, 16 Sep 2002 08:48:08 GMT", "version": "v1" }, { "created": "Mon, 13 Jan 2003 17:08:04 GMT", "version": "v2" } ]
2007-05-23
[ [ "Gorsky", "A.", "" ] ]
We briefly review the recent progress concerning the application of the hidden integrability to the derivation of the stringy/brane picture for the high energy QCD.
1211.7071
Dan Xie
Dan Xie
BPS spectrum, wall crossing and quantum dilogarithm identity
107 pages, 72 figures
null
null
null
hep-th math.AG math.CO math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with various kinds of defects. The wall crossing formula is interpreted as the quantum dilogarithm identity. Various methods including quiver repres...
[ { "created": "Thu, 29 Nov 2012 21:00:15 GMT", "version": "v1" } ]
2012-12-03
[ [ "Xie", "Dan", "" ] ]
BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with various kinds of defects. The wall crossing formula is interpreted as the quantum dilogarithm identity. Various methods including quiver represen...
1510.05999
Yuri Bonder
Yuri Bonder and Carlos A. Escobar
Dynamical ambiguities in models with spontaneous Lorentz violation
Replaced to match the published version. 5 pages
Phys. Rev. D 93, 025020 (2016)
10.1103/PhysRevD.93.025020
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Spontaneous Lorentz violation is a viable mechanism to look for Planck scale physics. In this work, we study spontaneous Lorentz violation models, in flat spacetime, where a vector field produces such a violation and matter is modeled by a complex scalar field. We show that it is possible to construct a Hamilton dens...
[ { "created": "Tue, 20 Oct 2015 18:17:22 GMT", "version": "v1" }, { "created": "Mon, 25 Jan 2016 15:50:15 GMT", "version": "v2" } ]
2016-01-26
[ [ "Bonder", "Yuri", "" ], [ "Escobar", "Carlos A.", "" ] ]
Spontaneous Lorentz violation is a viable mechanism to look for Planck scale physics. In this work, we study spontaneous Lorentz violation models, in flat spacetime, where a vector field produces such a violation and matter is modeled by a complex scalar field. We show that it is possible to construct a Hamilton densit...
2311.03031
Antoine Vuignier
Lucia Cordova, Miguel Correia, Alessandro Georgoudis, Antoine Vuignier
The O(N) Monolith reloaded: Sum rules and Form Factor Bootstrap
31 pages + appendices, 13 figures
null
null
null
hep-th
http://creativecommons.org/licenses/by/4.0/
We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model appear at special points on the boundary, along with an abundance of unknown mode...
[ { "created": "Mon, 6 Nov 2023 11:09:05 GMT", "version": "v1" } ]
2023-11-07
[ [ "Cordova", "Lucia", "" ], [ "Correia", "Miguel", "" ], [ "Georgoudis", "Alessandro", "" ], [ "Vuignier", "Antoine", "" ] ]
We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model appear at special points on the boundary, along with an abundance of unknown models...
2203.04672
\'Alvaro \'Alvarez-Dom\'inguez
\'Alvaro \'Alvarez-Dom\'inguez, Luis J. Garay, Mercedes Mart\'in-Benito
Generalized quantum Vlasov equation for particle creation and unitary dynamics
14 pages; v2: matches the version published on Phys. Rev. D (additional references added)
Phys. Rev. D 105, 125012 (2022)
10.1103/PhysRevD.105.125012
null
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
The loss of time-translational invariance caused by a time-dependent external agent leads to particle creation effects in quantum field theory. This phenomenon results in ambiguities when selecting the quantum vacuum of the canonical quantization. In this work we analyze how the time evolution of the number of create...
[ { "created": "Wed, 9 Mar 2022 12:26:38 GMT", "version": "v1" }, { "created": "Thu, 23 Jun 2022 13:02:53 GMT", "version": "v2" } ]
2022-06-24
[ [ "Álvarez-Domínguez", "Álvaro", "" ], [ "Garay", "Luis J.", "" ], [ "Martín-Benito", "Mercedes", "" ] ]
The loss of time-translational invariance caused by a time-dependent external agent leads to particle creation effects in quantum field theory. This phenomenon results in ambiguities when selecting the quantum vacuum of the canonical quantization. In this work we analyze how the time evolution of the number of created ...
hep-th/0007174
Johannes Walcher
J. Fuchs, L.R. Huiszoon, A.N. Schellekens, C. Schweigert, J. Walcher
Boundaries, crosscaps and simple currents
11 pages, LaTeX2e, reference added, typos corrected
Phys.Lett.B495:427-434,2000
10.1016/S0370-2693(00)01271-5
PAR-LPTHE 00-32, ETH-TH/00-9, CERN-TH/2000-220, NIKHEF-00-019
hep-th
null
Universal formulas for the boundary and crosscap coefficients are presented, which are valid for all symmetric simple current modifications of the charge conjugation invariant of any rational conformal field theory.
[ { "created": "Fri, 21 Jul 2000 13:51:06 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2000 09:36:13 GMT", "version": "v2" } ]
2008-11-26
[ [ "Fuchs", "J.", "" ], [ "Huiszoon", "L. R.", "" ], [ "Schellekens", "A. N.", "" ], [ "Schweigert", "C.", "" ], [ "Walcher", "J.", "" ] ]
Universal formulas for the boundary and crosscap coefficients are presented, which are valid for all symmetric simple current modifications of the charge conjugation invariant of any rational conformal field theory.
1002.0833
Raphael Flauger
Raphael Flauger and Enrico Pajer
Resonant Non-Gaussianity
32 pages, 4 figures
null
10.1088/1475-7516/2011/01/017
null
hep-th astro-ph.CO hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a derivation from first principles of the primordial bispectrum of scalar perturbations produced during inflation driven by a canonically normalized scalar field whose potential exhibits small sinusoidal modulations. A potential of this type has been derived in a class of string theory models of inflation ...
[ { "created": "Thu, 4 Feb 2010 20:47:35 GMT", "version": "v1" } ]
2015-05-18
[ [ "Flauger", "Raphael", "" ], [ "Pajer", "Enrico", "" ] ]
We provide a derivation from first principles of the primordial bispectrum of scalar perturbations produced during inflation driven by a canonically normalized scalar field whose potential exhibits small sinusoidal modulations. A potential of this type has been derived in a class of string theory models of inflation ba...
hep-th/0508045
Shibaji Roy
J. X. Lu and S. Roy
Fundamental strings and NS5-branes from unstable D-branes in supergravity
11 pages, LaTeX, one statement corrected and one reference added, v3: more details of the solution used is given, version to appear in Phys. Lett. B
Phys.Lett.B637:326-330,2006
10.1016/j.physletb.2006.04.006
USTC-ICTS-05-8
hep-th
null
By using the non-supersymmetric $p$-brane solutions delocalized in arbitrary number of transverse directions in type II supergravities, we show how they can be regarded as interpolating solutions between unstable D$p$-branes (a non-BPS D-brane or a pair of coincident D-brane-antiD-brane) and fundamental strings and a...
[ { "created": "Sat, 6 Aug 2005 11:52:13 GMT", "version": "v1" }, { "created": "Fri, 25 Nov 2005 08:28:55 GMT", "version": "v2" }, { "created": "Wed, 12 Apr 2006 08:15:10 GMT", "version": "v3" } ]
2014-11-18
[ [ "Lu", "J. X.", "" ], [ "Roy", "S.", "" ] ]
By using the non-supersymmetric $p$-brane solutions delocalized in arbitrary number of transverse directions in type II supergravities, we show how they can be regarded as interpolating solutions between unstable D$p$-branes (a non-BPS D-brane or a pair of coincident D-brane-antiD-brane) and fundamental strings and als...
1406.4422
Dave Sutherland
Ben Gripaios, Dave Sutherland
Quantum Field Theory of Fluids
5 pages, 2 figures and 1 table. v2: Added references. v3: Changed title to match published version
Phys. Rev. Lett. 114, 071601 (2015)
10.1103/PhysRevLett.114.071601
Cavendish-HEP-14/02
hep-th cond-mat.other hep-ph physics.flu-dyn
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The quantum theory of fields is largely based on studying perturbations around non-interacting, or free, field theories, which correspond to a collection of quantum-mechanical harmonic oscillators. The quantum theory of an ordinary fluid is `freer', in the sense that the non-interacting theory also contains an infini...
[ { "created": "Tue, 17 Jun 2014 16:49:03 GMT", "version": "v1" }, { "created": "Tue, 24 Jun 2014 11:37:49 GMT", "version": "v2" }, { "created": "Thu, 23 Apr 2015 11:52:20 GMT", "version": "v3" } ]
2015-04-24
[ [ "Gripaios", "Ben", "" ], [ "Sutherland", "Dave", "" ] ]
The quantum theory of fields is largely based on studying perturbations around non-interacting, or free, field theories, which correspond to a collection of quantum-mechanical harmonic oscillators. The quantum theory of an ordinary fluid is `freer', in the sense that the non-interacting theory also contains an infinite...
hep-th/0602214
Sakura Schafer-Nameki
Sakura Schafer-Nameki
Exact expressions for quantum corrections to spinning strings
12 pages, 1 figure
Phys.Lett.B639:571-578,2006
10.1016/j.physletb.2006.03.033
DESY-06-018, ZMP-HH/06-02
hep-th
null
The one-loop worldsheet quantum corrections to the energy of spinning strings on R x S^3 within AdS_5 x S^5 are reexamined. The explicit expansion in the effective 't Hooft coupling \lambda'= \lambda/J^2 is rigorously derived. The expansion contains both analytic and non-analytic terms in \lambda', as well as exponen...
[ { "created": "Tue, 21 Feb 2006 18:35:27 GMT", "version": "v1" } ]
2008-11-26
[ [ "Schafer-Nameki", "Sakura", "" ] ]
The one-loop worldsheet quantum corrections to the energy of spinning strings on R x S^3 within AdS_5 x S^5 are reexamined. The explicit expansion in the effective 't Hooft coupling \lambda'= \lambda/J^2 is rigorously derived. The expansion contains both analytic and non-analytic terms in \lambda', as well as exponenti...
1009.3538
Ahmed Jellal
Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi
Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
23 pages
J.Stat.Mech.1001:P07017,2010
10.1088/1742-5468/2010/07/P07017
null
hep-th cond-mat.mes-hall math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a generalized Weyl--Heisenberg algebra and investigating its basic features. We study the electromagnetic excitation and derive the Hamiltonia...
[ { "created": "Sat, 18 Sep 2010 06:51:58 GMT", "version": "v1" } ]
2015-05-20
[ [ "Daoud", "Mohammed", "" ], [ "Jellal", "Ahmed", "" ], [ "Guejdi", "Abdellah Oueld", "" ] ]
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a generalized Weyl--Heisenberg algebra and investigating its basic features. We study the electromagnetic excitation and derive the Hamiltonian ...
hep-th/0201196
Tomomi Ishikawa
Tomomi Ishikawa, Shin-Ichiro Kuroki and Akifumi Sako
Instanton Number Calculus on Noncommutative R^4
29 pages, 7 figures, some statements in Sec.4.3 corrected
JHEP 0208:028,2002
10.1088/1126-6708/2002/08/028
HUPD-0117
hep-th math-ph math.AG math.MP
null
In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Here we define ``Instanton number'' by the size of $B_{\alpha}$ in the ADHM construction. We show the analytical derivation of the noncommuatativ...
[ { "created": "Thu, 24 Jan 2002 20:58:35 GMT", "version": "v1" }, { "created": "Fri, 1 Feb 2002 10:42:17 GMT", "version": "v2" }, { "created": "Wed, 15 May 2002 10:19:47 GMT", "version": "v3" }, { "created": "Sun, 2 Jun 2002 13:43:07 GMT", "version": "v4" } ]
2014-11-18
[ [ "Ishikawa", "Tomomi", "" ], [ "Kuroki", "Shin-Ichiro", "" ], [ "Sako", "Akifumi", "" ] ]
In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Here we define ``Instanton number'' by the size of $B_{\alpha}$ in the ADHM construction. We show the analytical derivation of the noncommuatative ...
hep-th/9909066
H. Hueffel
Helmuth Huffel and Gerald Kelnhofer
Global Aspects of Quantizing Yang-Mills Theory
11 pages, Latex, Talk given by Helmuth H\"uffel at the Central European Triangle Meeting on Particle Physics, Zagreb, Croatia, June 17-19, 1999
null
null
University of Vienna preprint UWThPh-1999-52
hep-th
null
We review recent results on the derivation of a global path integral density for Yang-Mills theory. Based on a generalization of the stochastic quantization scheme and its geometrical interpretation we first recall how locally a modified Faddeev-Popov path integral density for the quantization of Yang-Mills theory ca...
[ { "created": "Fri, 10 Sep 1999 14:19:48 GMT", "version": "v1" } ]
2007-05-23
[ [ "Huffel", "Helmuth", "" ], [ "Kelnhofer", "Gerald", "" ] ]
We review recent results on the derivation of a global path integral density for Yang-Mills theory. Based on a generalization of the stochastic quantization scheme and its geometrical interpretation we first recall how locally a modified Faddeev-Popov path integral density for the quantization of Yang-Mills theory can ...
1810.02746
Tom Levy
Tom Levy, Yaron Oz and Avia Raviv-Moshe
$\mathcal{N}=1$ Liouville SCFT in Four Dimensions
24 pages; revised
null
10.1007/JHEP12(2018)122
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a four supercharges Liouville superconformal field theory in four dimensions. The Liouville superfield is chiral and its lowest component is a log-correlated complex scalar whose real part carries a background charge. The action consists of a supersymmetric Paneitz operator, a background supersymmetric $...
[ { "created": "Fri, 5 Oct 2018 15:23:44 GMT", "version": "v1" }, { "created": "Mon, 5 Nov 2018 19:37:34 GMT", "version": "v2" } ]
2019-11-01
[ [ "Levy", "Tom", "" ], [ "Oz", "Yaron", "" ], [ "Raviv-Moshe", "Avia", "" ] ]
We construct a four supercharges Liouville superconformal field theory in four dimensions. The Liouville superfield is chiral and its lowest component is a log-correlated complex scalar whose real part carries a background charge. The action consists of a supersymmetric Paneitz operator, a background supersymmetric $\m...
2312.06066
Maria Mylova
M. Mylova and N. Afshordi
Effective Cuscuton Theory
20 pages and 1 figure
null
null
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Cuscuton field theory is an extension of general relativity that does not introduce additional propagating degrees of freedom, or violate relativistic causality. We construct a general geometric description of the cuscuton field theory by introducing curvature corrections to both the volume (potential) and the surfac...
[ { "created": "Mon, 11 Dec 2023 02:17:54 GMT", "version": "v1" } ]
2023-12-12
[ [ "Mylova", "M.", "" ], [ "Afshordi", "N.", "" ] ]
Cuscuton field theory is an extension of general relativity that does not introduce additional propagating degrees of freedom, or violate relativistic causality. We construct a general geometric description of the cuscuton field theory by introducing curvature corrections to both the volume (potential) and the surface ...
hep-th/0011217
Vijay Balasubramanian
Vijay Balasubramanian, Jan de Boer, Esko Keski-Vakkuri and Simon F. Ross
Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
LaTeX2e, 39 pages. v2: References added, corrected discussion of Kaluza-Klein ansatz
Phys.Rev.D64:064011,2001
10.1103/PhysRevD.64.064011
UPR-908-T, ITFA-2000-31, DTP/00/101, HIP-2000-63/TH
hep-th
null
Conical defects, or point particles, in AdS_3 are one of the simplest non-trivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions into the N=4b supergravity in six dimensions, which arises from IIB string the...
[ { "created": "Thu, 23 Nov 2000 20:48:48 GMT", "version": "v1" }, { "created": "Sun, 4 Feb 2001 20:20:01 GMT", "version": "v2" } ]
2011-06-21
[ [ "Balasubramanian", "Vijay", "" ], [ "de Boer", "Jan", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Ross", "Simon F.", "" ] ]
Conical defects, or point particles, in AdS_3 are one of the simplest non-trivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions into the N=4b supergravity in six dimensions, which arises from IIB string theor...
hep-th/9708080
Robert De Mello Koch
Robert de Mello Koch and Jo\~ao P. Rodrigues
The Dynamics of Classical Chiral $QCD_{2}$ Currents
25 pages, uses harvmac
null
null
CNLS-97-04
hep-th dg-ga math.DG nlin.PS nlin.SI patt-sol solv-int
null
In this paper the dynamics of the classical chiral $QCD_{2}$ currents is studied. We describe how the dynamics of the theory can be summarized in an equation of the Lax form, thereby demonstrating the existence of an infinite set of conserved quantities. Next, the $r$ matrix of a fundamental Poisson relation is obtai...
[ { "created": "Thu, 14 Aug 1997 14:31:23 GMT", "version": "v1" } ]
2008-02-03
[ [ "Koch", "Robert de Mello", "" ], [ "Rodrigues", "João P.", "" ] ]
In this paper the dynamics of the classical chiral $QCD_{2}$ currents is studied. We describe how the dynamics of the theory can be summarized in an equation of the Lax form, thereby demonstrating the existence of an infinite set of conserved quantities. Next, the $r$ matrix of a fundamental Poisson relation is obtaine...
hep-th/0011248
Thomas Strobl
Thomas Strobl
Poisson Structure Induced Field Theories and Models of 1+1 Dimensional Gravity
86 pages, 8 figures, PhD thesis TU-Vienna, May 1994, awarded with the Austrian Viktor Hess price 1995
null
null
null
hep-th
null
PhD thesis TU-Vienna, May 1994. Table of Contents: 1. Introduction, 2. Poisson Structure Induced Two Dimensional Field Theories, 3. Models of Gravity in 1+1 Dimensions
[ { "created": "Tue, 28 Nov 2000 11:41:49 GMT", "version": "v1" } ]
2007-05-23
[ [ "Strobl", "Thomas", "" ] ]
PhD thesis TU-Vienna, May 1994. Table of Contents: 1. Introduction, 2. Poisson Structure Induced Two Dimensional Field Theories, 3. Models of Gravity in 1+1 Dimensions
1011.0301
Adam Wardlow
Paul Mansfield and Adam Wardlow
Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time
Consists of 9 pages. Version 2: Further emphasis made on various points and some equations added, some references added and typing errors corrected
JHEP 1101:097,2011
10.1007/JHEP01(2011)097
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symmetries of the dimensionally reduced Chalmers-Siegel action and so hold off-shell.
[ { "created": "Mon, 1 Nov 2010 12:18:32 GMT", "version": "v1" }, { "created": "Wed, 8 Dec 2010 13:43:22 GMT", "version": "v2" } ]
2015-03-17
[ [ "Mansfield", "Paul", "" ], [ "Wardlow", "Adam", "" ] ]
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symmetries of the dimensionally reduced Chalmers-Siegel action and so hold off-shell.
hep-th/0605202
Washington Taylor
Washington Taylor (MIT, Stanford)
String Field Theory
To appear in "Towards Quantum Gravity", ed. Daniele Oriti, Cambridge University Press; 22 pages latex; v2: updated references
null
null
MIT-CTP-3747, SU-ITP-06/14
hep-th
null
This elementary introduction to string field theory highlights the features and the limitations of this approach to quantum gravity as it is currently understood. String field theory is a formulation of string theory as a field theory in space-time with an infinite number of massive fields. Although existing construc...
[ { "created": "Fri, 19 May 2006 20:33:19 GMT", "version": "v1" }, { "created": "Wed, 28 Jun 2006 10:10:48 GMT", "version": "v2" } ]
2007-05-23
[ [ "Taylor", "Washington", "", "MIT, Stanford" ] ]
This elementary introduction to string field theory highlights the features and the limitations of this approach to quantum gravity as it is currently understood. String field theory is a formulation of string theory as a field theory in space-time with an infinite number of massive fields. Although existing constructi...
hep-th/9405030
Gustav W. Delius
Gustav W. Delius, Mark D. Gould and Yao-Zhong Zhang
On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
latex file, 29 pages, Universitaet Bielefeld and University of Queensland preprint, BI-TP-94/13, UQMATH-94-02 (minor correction: in eq. (4.63) the number 32 should be replaced by 36 and in eq. (4.64) -16 becomes -18 and -10 becomes -8.)
Nucl.Phys. B432 (1994) 377-403
10.1016/0550-3213(94)90607-6
null
hep-th
null
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G)$. Our method is a generalization of the tensor product graph method to the case of two different representations. It yields the decompos...
[ { "created": "Thu, 5 May 1994 00:26:31 GMT", "version": "v1" }, { "created": "Sun, 8 May 1994 19:58:57 GMT", "version": "v2" } ]
2009-10-28
[ [ "Delius", "Gustav W.", "" ], [ "Gould", "Mark D.", "" ], [ "Zhang", "Yao-Zhong", "" ] ]
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G)$. Our method is a generalization of the tensor product graph method to the case of two different representations. It yields the decomposit...
hep-th/0602101
Gabriele Honecker
Gabriele Honecker
Massive U(1)s and Heterotic Five-Branes on K3
26 pages, 1 figure; v2: refs added, over-all normalisation of GS & CS terms changed by 2
Nucl.Phys.B748:126-148,2006
10.1016/j.nuclphysb.2006.04.027
MPP-2006-12
hep-th
null
We systematically consider heterotic SO(32) and E8 x E8 compactifications on K3 with Abelian and non-Abelian backgrounds as well as an arbitrary number of five-branes. The masses of the U(1) factors depend on the first Chern classes of the bundles and some combinatorial factors specifying the embedding in SO(32) or E...
[ { "created": "Fri, 10 Feb 2006 09:44:49 GMT", "version": "v1" }, { "created": "Thu, 4 May 2006 09:14:54 GMT", "version": "v2" } ]
2008-11-26
[ [ "Honecker", "Gabriele", "" ] ]
We systematically consider heterotic SO(32) and E8 x E8 compactifications on K3 with Abelian and non-Abelian backgrounds as well as an arbitrary number of five-branes. The masses of the U(1) factors depend on the first Chern classes of the bundles and some combinatorial factors specifying the embedding in SO(32) or E8....
1908.08119
Ashish Shukla
Karthik Inbasekar, Lavneet Janagal, Ashish Shukla
Mass-deformed $\mathcal{N} = 3$ Supersymmetric Chern-Simons-Matter Theory
9 pages. v2: Reference added, matches published version in Phys. Rev. D
Phys. Rev. D 100, 085008 (2019)
10.1103/PhysRevD.100.085008
TIFR/TH/19-29
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The maximal extension of supersymmetric Chern-Simons theory coupled to fundamental matter has $\mathcal{N} = 3$ supersymmetry. In this short note, we provide the explicit form of the action for the mass-deformed $\mathcal{N} = 3$ supersymmetric $U(N)$ Chern-Simons-Matter theory. The theory admits a unique triplet mas...
[ { "created": "Wed, 21 Aug 2019 21:12:55 GMT", "version": "v1" }, { "created": "Thu, 17 Oct 2019 17:45:18 GMT", "version": "v2" } ]
2019-10-18
[ [ "Inbasekar", "Karthik", "" ], [ "Janagal", "Lavneet", "" ], [ "Shukla", "Ashish", "" ] ]
The maximal extension of supersymmetric Chern-Simons theory coupled to fundamental matter has $\mathcal{N} = 3$ supersymmetry. In this short note, we provide the explicit form of the action for the mass-deformed $\mathcal{N} = 3$ supersymmetric $U(N)$ Chern-Simons-Matter theory. The theory admits a unique triplet mass ...
hep-th/9609098
null
Oren Bergman (Florida, Brandeis)
Galilean Supersymmetry in 2+1 Dimensions
10 pages, Latex. Talk given at the workshop on low dimensional field theory, Telluride, CO
Int.J.Mod.Phys.A12:1173-1182,1997
10.1142/S0217751X97000906
null
hep-th
null
We review work done in collaboration with C.B. Thorn on Super-Galilei invariant field theory and its application to the reformulation of superstring theory in terms of constituent superstring-bits.
[ { "created": "Wed, 11 Sep 1996 19:46:41 GMT", "version": "v1" } ]
2011-04-15
[ [ "Bergman", "Oren", "", "Florida, Brandeis" ] ]
We review work done in collaboration with C.B. Thorn on Super-Galilei invariant field theory and its application to the reformulation of superstring theory in terms of constituent superstring-bits.
hep-th/9801140
Frederik Denef
Marco Billo, Frederik Denef, Pietro Fre, Igor Pesando, Walter Troost, Antoine Van Proeyen and Daniela Zanon
Special geometry of Calabi-Yau compactifications near a rigid limit
6 pages, latex, no figures; to appear in the proceedings of "Quantum aspects of gauge theories, supersymmetry and unification", Neuchatel University, 18-23 September 1997
Fortsch.Phys.47:133-139,1999
10.1002/(SICI)1521-3978(199901)47:1/3<133::AID-PROP133>3.0.CO;2-3
KUL-TF-98/5; DFTT-2/98; IFUM/605-FT
hep-th
null
We discuss, in the framework of special Kahler geometry, some aspects of the "rigid limit" of type IIB string theory compactified on a Calabi-Yau threefold. We outline the general idea and demonstrate by direct analysis of a specific example how this limit is obtained. The decoupling of gravity and the reduction of s...
[ { "created": "Tue, 20 Jan 1998 17:09:41 GMT", "version": "v1" } ]
2015-06-26
[ [ "Billo", "Marco", "" ], [ "Denef", "Frederik", "" ], [ "Fre", "Pietro", "" ], [ "Pesando", "Igor", "" ], [ "Troost", "Walter", "" ], [ "Van Proeyen", "Antoine", "" ], [ "Zanon", "Daniela", "" ] ]
We discuss, in the framework of special Kahler geometry, some aspects of the "rigid limit" of type IIB string theory compactified on a Calabi-Yau threefold. We outline the general idea and demonstrate by direct analysis of a specific example how this limit is obtained. The decoupling of gravity and the reduction of spe...
1210.4226
Yu-tin Huang
Yu-tin Huang, S. Caron-Huot
The two-loop six-point amplitude in ABJM theory
45 pages
null
null
MCTP-12-24
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consist of corrections proportional to two distinct local Yangian invariants which can be identified as the tree- and the one-loop amplitude respectively. The two-loop correc...
[ { "created": "Tue, 16 Oct 2012 01:26:42 GMT", "version": "v1" } ]
2012-10-17
[ [ "Huang", "Yu-tin", "" ], [ "Caron-Huot", "S.", "" ] ]
In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consist of corrections proportional to two distinct local Yangian invariants which can be identified as the tree- and the one-loop amplitude respectively. The two-loop correcti...
2306.01104
Ramon Miravitllas
Marcos Marino, Ramon Miravitllas
Large N instantons from topological strings
31 pages, added comments about the Fermi gas
SciPost Phys. 16, 155 (2024)
10.21468/SciPostPhys.16.6.155
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The $1/N$ expansion of matrix models is asymptotic, and it requires non-perturbative corrections due to large $N$ instantons. Explicit expressions for large $N$ instanton amplitudes are known in the case of Hermitian matrix models with one cut, but not in the multi-cut case. We show that the recent exact results on t...
[ { "created": "Thu, 1 Jun 2023 19:35:02 GMT", "version": "v1" }, { "created": "Mon, 5 Jun 2023 07:54:34 GMT", "version": "v2" }, { "created": "Thu, 14 Mar 2024 13:44:55 GMT", "version": "v3" }, { "created": "Fri, 17 May 2024 08:10:20 GMT", "version": "v4" } ]
2024-06-19
[ [ "Marino", "Marcos", "" ], [ "Miravitllas", "Ramon", "" ] ]
The $1/N$ expansion of matrix models is asymptotic, and it requires non-perturbative corrections due to large $N$ instantons. Explicit expressions for large $N$ instanton amplitudes are known in the case of Hermitian matrix models with one cut, but not in the multi-cut case. We show that the recent exact results on top...
hep-th/9801040
Gert Roepstorff
G.Roepstorff (RWTH Aachen)
Superconnections and the Higgs Field
21 pages, Latex, references added, minor change of content
J.Math.Phys. 40 (1999) 2698-2715
10.1063/1.532724
null
hep-th
null
Within the mathematical framework of Quillen, one interprets the Higgs field as part of the superconnection on a superbundle. We propose to take as superbundle the exterior algebra obtained from a Hermitian bundle with structure group U(n). Spontaneous symmetry breaking appears as a consequence of a non-vanishing sca...
[ { "created": "Thu, 8 Jan 1998 14:57:31 GMT", "version": "v1" }, { "created": "Thu, 9 Apr 1998 16:19:56 GMT", "version": "v2" } ]
2009-10-31
[ [ "Roepstorff", "G.", "", "RWTH Aachen" ] ]
Within the mathematical framework of Quillen, one interprets the Higgs field as part of the superconnection on a superbundle. We propose to take as superbundle the exterior algebra obtained from a Hermitian bundle with structure group U(n). Spontaneous symmetry breaking appears as a consequence of a non-vanishing scala...
hep-th/0703055
Maurizio Gasperini
M. Gasperini and G. Veneziano
String Theory and Pre-big bang Cosmology
25 pages, five figures. Contribution to the special issue of IL NUOVO CIMENTO, published in honor of Gaetano Vilasi on the occasion of his 70-th birthday (Il Nuovo Cimento C, Italian Physical Society, 2015)
Il Nuovo Cimento C 38, 160 (2015)
10.1393/ncc/i2015-15160-8
CERN-PH-TH/2007-026
hep-th astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In string theory, the traditional picture of a Universe that emerges from the inflation of a very small and highly curved space-time patch is a possibility, not a necessity: quite different initial conditions are possible, and not necessarily unlikely. In particular, the duality symmetries of string theory suggest sc...
[ { "created": "Tue, 6 Mar 2007 18:43:39 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2007 16:18:22 GMT", "version": "v2" }, { "created": "Tue, 22 Sep 2015 18:10:05 GMT", "version": "v3" } ]
2017-06-01
[ [ "Gasperini", "M.", "" ], [ "Veneziano", "G.", "" ] ]
In string theory, the traditional picture of a Universe that emerges from the inflation of a very small and highly curved space-time patch is a possibility, not a necessity: quite different initial conditions are possible, and not necessarily unlikely. In particular, the duality symmetries of string theory suggest scen...
1209.1447
Balachandran Sathiapalan
B. Sathiapalan
Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory -II
26 pages; Minor changes, some typos corrected. Final version to appear in Nucl.Phys. B
null
10.1016/j.nuclphysb.2012.11.002
IMSC/2012/9/15
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In arXiv:1202.4298 gauge invariant interacting equations were writ- ten down for the spin 2 and spin 3 massive modes using the exact renor- malization group of a world sheet theory. This is generalized to all the higher levels in this paper. An interacting theory of an infinite tower of massive higher spins is obtain...
[ { "created": "Fri, 7 Sep 2012 04:23:21 GMT", "version": "v1" }, { "created": "Wed, 28 Nov 2012 05:22:32 GMT", "version": "v2" } ]
2015-06-11
[ [ "Sathiapalan", "B.", "" ] ]
In arXiv:1202.4298 gauge invariant interacting equations were writ- ten down for the spin 2 and spin 3 massive modes using the exact renor- malization group of a world sheet theory. This is generalized to all the higher levels in this paper. An interacting theory of an infinite tower of massive higher spins is obtained...
hep-th/0511182
Grigorii Vilkovisky
G. A. Vilkovisky (Lebedev Institute)
Kinematics of evaporating black holes
58 pages, 2 figures. Latex 2.09. Figures PNG
Annals Phys. 321 (2006) 2717-2756
10.1016/j.aop.2005.12.004
null
hep-th astro-ph gr-qc
null
The correspondence principle and causality divide the spacetime of a macroscopic collapsing mass into three regions: classical, semiclassical, and ultraviolet. The semiclassical region covers the entire evolution of the black hole from the macroscopic to the microscopic scale if the latter is reached. It is shown tha...
[ { "created": "Fri, 18 Nov 2005 01:45:21 GMT", "version": "v1" } ]
2009-11-11
[ [ "Vilkovisky", "G. A.", "", "Lebedev Institute" ] ]
The correspondence principle and causality divide the spacetime of a macroscopic collapsing mass into three regions: classical, semiclassical, and ultraviolet. The semiclassical region covers the entire evolution of the black hole from the macroscopic to the microscopic scale if the latter is reached. It is shown that ...
2107.04864
Bo-Ting Chen
Bo-Ting Chen
Non-BPS Supersymmetric 3pt Amplitude for One Massless, Two Equally Massive Particles
28 pages, 1 figure
null
10.1016/j.nuclphysb.2021.115613
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, the non-BPS amplitudes ($Z < 2m$) are considered. Utilizing on-shell methods, the three point amplitudes of two equal-mass particles and one massless particle were constructed, where the two massive particles are non-BPS states. We verify the result by matching the $Z = 0$ and BPS limit with $N = 2$ su...
[ { "created": "Sat, 10 Jul 2021 15:40:21 GMT", "version": "v1" }, { "created": "Tue, 30 Nov 2021 05:28:23 GMT", "version": "v2" } ]
2021-12-01
[ [ "Chen", "Bo-Ting", "" ] ]
In this paper, the non-BPS amplitudes ($Z < 2m$) are considered. Utilizing on-shell methods, the three point amplitudes of two equal-mass particles and one massless particle were constructed, where the two massive particles are non-BPS states. We verify the result by matching the $Z = 0$ and BPS limit with $N = 2$ supe...
hep-th/0111181
Tatsu Takeuchi
Lay Nam Chang, Djordje Minic, Naotoshi Okamura, and Tatsu Takeuchi
Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
15 pages, REVTEX4, new section V added
Phys.Rev. D65 (2002) 125027
10.1103/PhysRevD.65.125027
VPI-IPPAP-01-02
hep-th physics.atom-ph quant-ph
null
We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [x_i,p_j]=i hbar[(1+ beta p^2) delta_{ij} + beta' p_i p_j]. These commutation relations are motivated by the fact they lead to the minimal length u...
[ { "created": "Wed, 21 Nov 2001 00:44:37 GMT", "version": "v1" }, { "created": "Fri, 15 Mar 2002 23:20:52 GMT", "version": "v2" } ]
2007-05-23
[ [ "Chang", "Lay Nam", "" ], [ "Minic", "Djordje", "" ], [ "Okamura", "Naotoshi", "" ], [ "Takeuchi", "Tatsu", "" ] ]
We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [x_i,p_j]=i hbar[(1+ beta p^2) delta_{ij} + beta' p_i p_j]. These commutation relations are motivated by the fact they lead to the minimal length unc...
1607.00075
Seckin Kurkcuoglu
Seckin Kurkcuoglu and Gonul Unal
A $U(3)$ Gauge Theory on Fuzzy Extra Dimensions
27+1 pages
Phys. Rev. D 94, 036003 (2016)
10.1103/PhysRevD.94.036003
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article, we explore the low energy structure of a $U(3)$ gauge theory over spaces with fuzzy sphere(s) as extra dimensions. In particular, we determine the equivariant parametrization of the gauge fields, which transform either invariantly or as vectors under the combined action of $SU(2)$ rotations of the fu...
[ { "created": "Thu, 30 Jun 2016 23:11:58 GMT", "version": "v1" } ]
2016-08-24
[ [ "Kurkcuoglu", "Seckin", "" ], [ "Unal", "Gonul", "" ] ]
In this article, we explore the low energy structure of a $U(3)$ gauge theory over spaces with fuzzy sphere(s) as extra dimensions. In particular, we determine the equivariant parametrization of the gauge fields, which transform either invariantly or as vectors under the combined action of $SU(2)$ rotations of the fuzz...
2112.14441
Takeshi Oota
Takeshi Oota
Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
32 pages
null
10.1016/j.nuclphysb.2022.115718
OCU-PHYS 555
hep-th
http://creativecommons.org/licenses/by/4.0/
Using the saddle point method, we give an explicit form of the planar free energy and Wilson loops of unitary matrix models in the one-cut regime. The multi-critical unitary matrix models are shown to undergo third-order phase transitions at two points by studying the planar free energy. One of these ungapped/gapped ...
[ { "created": "Wed, 29 Dec 2021 08:04:58 GMT", "version": "v1" } ]
2022-03-14
[ [ "Oota", "Takeshi", "" ] ]
Using the saddle point method, we give an explicit form of the planar free energy and Wilson loops of unitary matrix models in the one-cut regime. The multi-critical unitary matrix models are shown to undergo third-order phase transitions at two points by studying the planar free energy. One of these ungapped/gapped ph...
hep-th/0006189
Marcos Marino
Bartomeu Fiol and Marcos Marino
BPS states and algebras from quivers
45 pages, 3 figures, harvmac. Uses diagrams.tex package by Paul Taylor. References added
JHEP 0007:031,2000
10.1088/1126-6708/2000/07/031
RUNHETC-2000-26
hep-th math.AG
null
We discuss several aspects of D-brane moduli spaces and BPS spectra near orbifold points. We give a procedure to determine the decay products on a line of marginal stability, and we define the algebra of BPS states in terms of quivers. These issues are illustrated in detail in the case of type IIA theory on C^2/Z_N. ...
[ { "created": "Fri, 23 Jun 2000 18:28:22 GMT", "version": "v1" }, { "created": "Sun, 25 Jun 2000 16:57:05 GMT", "version": "v2" }, { "created": "Fri, 30 Jun 2000 18:03:39 GMT", "version": "v3" } ]
2014-11-18
[ [ "Fiol", "Bartomeu", "" ], [ "Marino", "Marcos", "" ] ]
We discuss several aspects of D-brane moduli spaces and BPS spectra near orbifold points. We give a procedure to determine the decay products on a line of marginal stability, and we define the algebra of BPS states in terms of quivers. These issues are illustrated in detail in the case of type IIA theory on C^2/Z_N. We...
1910.11330
Blaise Gout\'eraux
Andrea Amoretti, Daniel Are\'an, Blaise Gout\'eraux, Daniele Musso
Gapless and gapped holographic phonons
v1: 24 pages, 10 figures. v2: minor edits, version accepted in jhep
null
10.1007/JHEP01(2020)058
CPHT-RR059.102019, IFT-UAM/CSIC-19-133
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study a holographic model where translations are both spontaneously and explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak explicit breaking is due to two independent mechanisms: a small source for the condensate itself and additional linearly space-dependent marginal operator...
[ { "created": "Thu, 24 Oct 2019 17:59:41 GMT", "version": "v1" }, { "created": "Mon, 23 Dec 2019 16:08:47 GMT", "version": "v2" } ]
2020-01-29
[ [ "Amoretti", "Andrea", "" ], [ "Areán", "Daniel", "" ], [ "Goutéraux", "Blaise", "" ], [ "Musso", "Daniele", "" ] ]
We study a holographic model where translations are both spontaneously and explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak explicit breaking is due to two independent mechanisms: a small source for the condensate itself and additional linearly space-dependent marginal operators....
hep-th/0603096
Toshiaki Tanaka
Toshiaki Tanaka
PT-Symmetric Quantum Theory Defined in a Krein Space
8 pages, no figures; Refs. added, minor revision
J.Phys.A39:L369,2006
10.1088/0305-4470/39/22/L04
null
hep-th math-ph math.FA math.MP quant-ph
null
We provide a mathematical framework for PT-symmetric quantum theory, which is applicable irrespective of whether a system is defined on R or a complex contour, whether PT symmetry is unbroken, and so on. The linear space in which PT-symmetric quantum theory is naturally defined is a Krein space constructed by introdu...
[ { "created": "Mon, 13 Mar 2006 11:24:31 GMT", "version": "v1" }, { "created": "Wed, 17 May 2006 04:37:37 GMT", "version": "v2" } ]
2008-11-26
[ [ "Tanaka", "Toshiaki", "" ] ]
We provide a mathematical framework for PT-symmetric quantum theory, which is applicable irrespective of whether a system is defined on R or a complex contour, whether PT symmetry is unbroken, and so on. The linear space in which PT-symmetric quantum theory is naturally defined is a Krein space constructed by introduci...
1404.3986
Eric R. Sharpe
E. Sharpe
Decomposition in diverse dimensions
38 pages, LaTeX; v2: typos fixed; v3: more typos fixed
Phys. Rev. D 90, 025030 (2014)
10.1103/PhysRevD.90.025030
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper discusses the relationships between gauge theories defined by gauge groups with finite trivially-acting centers, and theories with restrictions on nonperturbative sectors, in two and four dimensions. In two dimensions, these notions seem to coincide. Generalizing old results on orbifolds and abelian gauge ...
[ { "created": "Tue, 15 Apr 2014 16:56:08 GMT", "version": "v1" }, { "created": "Fri, 9 May 2014 23:52:03 GMT", "version": "v2" }, { "created": "Mon, 7 Jul 2014 15:15:00 GMT", "version": "v3" } ]
2014-07-30
[ [ "Sharpe", "E.", "" ] ]
This paper discusses the relationships between gauge theories defined by gauge groups with finite trivially-acting centers, and theories with restrictions on nonperturbative sectors, in two and four dimensions. In two dimensions, these notions seem to coincide. Generalizing old results on orbifolds and abelian gauge th...
1705.09315
Kai Roehrig
Kai A. Roehrig
Chiral Splitting and $\mathcal N = 4$ Einstein--Yang--Mills Tree Amplitudes in 4d
21 pages
null
10.1007/JHEP08(2017)033
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional $\mathcal{N} \leq 4$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace purely bosonic, or supersymmetric sin...
[ { "created": "Thu, 25 May 2017 18:19:58 GMT", "version": "v1" }, { "created": "Sun, 11 Jun 2017 15:24:32 GMT", "version": "v2" } ]
2017-09-13
[ [ "Roehrig", "Kai A.", "" ] ]
We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional $\mathcal{N} \leq 4$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace purely bosonic, or supersymmetric singl...
hep-th/0103008
Eric R. Sharpe
Eric Sharpe
Quotient Stacks and String Orbifolds
10 pages, LaTeX, 1 figure, v2: new material added
null
null
DUKE-CGTP-2001-04
hep-th
null
In this short review we outline some recent developments in understanding string orbifolds. In particular, we outline the recent observation that string orbifolds do not precisely describe string propagation on quotient spaces, but rather are literally sigma models on objects called quotient stacks, which are closely...
[ { "created": "Thu, 1 Mar 2001 15:52:02 GMT", "version": "v1" }, { "created": "Mon, 15 Oct 2001 18:15:06 GMT", "version": "v2" } ]
2007-05-23
[ [ "Sharpe", "Eric", "" ] ]
In this short review we outline some recent developments in understanding string orbifolds. In particular, we outline the recent observation that string orbifolds do not precisely describe string propagation on quotient spaces, but rather are literally sigma models on objects called quotient stacks, which are closely r...
0908.3020
Martin Kruczenski
Andrew Irrgang, Martin Kruczenski
Double-helix Wilson loops: case of two angular momenta
30 pages, 2 figures, LaTeX. v2: Small corrections, reference added
JHEP 0912:014,2009
10.1088/1126-6708/2009/12/014
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, Wilson loops with the shape of a double helix have played an important role in studying large spin operators in gauge theories. They correspond to a quark and an anti-quark moving in circles on an S3 (and therefore each of them describes a helix in RxS3). In this paper we consider the case where the particl...
[ { "created": "Fri, 21 Aug 2009 19:12:13 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 18:49:13 GMT", "version": "v2" } ]
2009-12-08
[ [ "Irrgang", "Andrew", "" ], [ "Kruczenski", "Martin", "" ] ]
Recently, Wilson loops with the shape of a double helix have played an important role in studying large spin operators in gauge theories. They correspond to a quark and an anti-quark moving in circles on an S3 (and therefore each of them describes a helix in RxS3). In this paper we consider the case where the particles...
hep-th/0412294
Sever Amit
Amit Giveon, Amit Sever
Strings in a 2-d Extremal Black Hole
1+22 pages, harvmac, 1 eps figure; v2: refs. added, typo corrected
JHEP0502:065,2005
10.1088/1126-6708/2005/02/065
null
hep-th
null
String theory on 2-d charged black holes corresponding to (SL(2)xU(1)_L)/U(1) exact asymmetric quotient CFTs are investigated. These backgrounds can be embedded, in particular, in a two dimensional heterotic string. In the extremal case, the quotient CFT description captures the near horizon physics, and is equivalen...
[ { "created": "Fri, 24 Dec 2004 10:12:16 GMT", "version": "v1" }, { "created": "Wed, 5 Jan 2005 09:38:38 GMT", "version": "v2" } ]
2008-11-26
[ [ "Giveon", "Amit", "" ], [ "Sever", "Amit", "" ] ]
String theory on 2-d charged black holes corresponding to (SL(2)xU(1)_L)/U(1) exact asymmetric quotient CFTs are investigated. These backgrounds can be embedded, in particular, in a two dimensional heterotic string. In the extremal case, the quotient CFT description captures the near horizon physics, and is equivalent ...
hep-th/9110002
null
M. Caselle and F.Gliozzi
The Effective String of 3D Gauge Systems at the Deconfining Transition
5 pages
Phys. Lett. B273 (1991) 420-422
10.1016/0370-2693(91)90292-X
null
hep-th
null
It is argued that the effective string of whatever 3D gauge system at the deconfining transition is universally described by the minimal $N=2$ extended superconformal theory at $c=1$. A universal value of the critical temperature is predicted.
[ { "created": "Tue, 1 Oct 1991 11:51:00 GMT", "version": "v1" } ]
2009-10-22
[ [ "Caselle", "M.", "" ], [ "Gliozzi", "F.", "" ] ]
It is argued that the effective string of whatever 3D gauge system at the deconfining transition is universally described by the minimal $N=2$ extended superconformal theory at $c=1$. A universal value of the critical temperature is predicted.
2309.03871
Eanna E. Flanagan
Venkatesa Chandrasekaran and Eanna E. Flanagan
Horizon phase spaces in general relativity
77 pages, no figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive a prescription for the phase space of general relativity on two intersecting null surfaces. The boundary symmetry group is the semidirect product of the group of arbitrary diffeomorphisms of each null boundary which coincide at the corner, with a group of reparameterizations of the null generators. The phas...
[ { "created": "Thu, 7 Sep 2023 17:32:38 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2024 20:17:36 GMT", "version": "v2" } ]
2024-03-15
[ [ "Chandrasekaran", "Venkatesa", "" ], [ "Flanagan", "Eanna E.", "" ] ]
We derive a prescription for the phase space of general relativity on two intersecting null surfaces. The boundary symmetry group is the semidirect product of the group of arbitrary diffeomorphisms of each null boundary which coincide at the corner, with a group of reparameterizations of the null generators. The phase ...
1802.05838
Brett D. Altschul
Richard DeCosta and Brett Altschul
Mode Analysis for Energetics of a Moving Charge In Lorentz- and CPT-Violating Electrodynamics
16 pages
Phys. Rev. D 97, 055029 (2018)
10.1103/PhysRevD.97.055029
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In isotropic but Lorentz- and CPT-violating electrodynamics, it is known that a charge in unifom motion does not lose any energy to Cerenkov radiation. This presents a puzzle, since the radiation appears to be kinematically allowed for many modes. Studying the Fourier transforms of the most important terms in the mod...
[ { "created": "Fri, 16 Feb 2018 05:19:01 GMT", "version": "v1" }, { "created": "Mon, 26 Mar 2018 02:04:26 GMT", "version": "v2" } ]
2018-03-28
[ [ "DeCosta", "Richard", "" ], [ "Altschul", "Brett", "" ] ]
In isotropic but Lorentz- and CPT-violating electrodynamics, it is known that a charge in unifom motion does not lose any energy to Cerenkov radiation. This presents a puzzle, since the radiation appears to be kinematically allowed for many modes. Studying the Fourier transforms of the most important terms in the modif...
1012.5742
Kunihito Uzawa
Masato Minamitsuji, Kunihito Uzawa
Constraints on warped compactifications
16 pages; v2: references and some arguments in section I are added
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss a possible compactification of a higher-dimensional gravitational theory, which give rise to a de Sitter or an accelerating universe, to the extent that it can describe a low energy limit of string theory. Such analysis can be carried out by the usual integration over the internal space in the Einstein equ...
[ { "created": "Tue, 28 Dec 2010 11:38:25 GMT", "version": "v1" }, { "created": "Sun, 13 Mar 2011 14:35:48 GMT", "version": "v2" } ]
2011-03-15
[ [ "Minamitsuji", "Masato", "" ], [ "Uzawa", "Kunihito", "" ] ]
We discuss a possible compactification of a higher-dimensional gravitational theory, which give rise to a de Sitter or an accelerating universe, to the extent that it can describe a low energy limit of string theory. Such analysis can be carried out by the usual integration over the internal space in the Einstein equat...
2306.14652
Evangelos Filothodoros
Evangelos G. Filothodoros
Strongly coupled fermions in odd dimensions and the running cut-off $\Lambda_d$
12 pages. arXiv admin note: text overlap with arXiv:2302.07013, arXiv:1803.05950
null
null
null
hep-th
http://creativecommons.org/licenses/by-sa/4.0/
I study the fermionic $U(N)$ Gross-Neveu model at imaginary chemical potential and finite temperature for odd $d$ dimensions, in the strong coupling regime, by using the gap (saddle point) equation for the fermion condensate of the model. This equation describes the phase transitions from weak to strong coupling regi...
[ { "created": "Mon, 26 Jun 2023 12:45:07 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2023 19:15:42 GMT", "version": "v2" } ]
2023-09-04
[ [ "Filothodoros", "Evangelos G.", "" ] ]
I study the fermionic $U(N)$ Gross-Neveu model at imaginary chemical potential and finite temperature for odd $d$ dimensions, in the strong coupling regime, by using the gap (saddle point) equation for the fermion condensate of the model. This equation describes the phase transitions from weak to strong coupling regime...
hep-th/0605036
Mihail Mintchev
B. Bellazzini and M. Mintchev
Quantum Fields on Star Graphs
LaTex 23+1 pages, 4 figures
J.Phys.A39:11101-11118,2006
10.1088/0305-4470/39/35/011
IFUP-TH 10/2006
hep-th cond-mat.mes-hall math-ph math.MP nlin.SI quant-ph
null
We construct canonical quantum fields which propagate on a star graph modeling a quantum wire. The construction uses a deformation of the algebra of canonical commutation relations, encoding the interaction in the vertex of the graph. We discuss in this framework the Casimir effect and derive the correction to the St...
[ { "created": "Wed, 3 May 2006 10:21:34 GMT", "version": "v1" } ]
2009-11-11
[ [ "Bellazzini", "B.", "" ], [ "Mintchev", "M.", "" ] ]
We construct canonical quantum fields which propagate on a star graph modeling a quantum wire. The construction uses a deformation of the algebra of canonical commutation relations, encoding the interaction in the vertex of the graph. We discuss in this framework the Casimir effect and derive the correction to the Stef...