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1207.1132
Jo\~ao Faria Martins
Lucio S. Cirio, Jo\~ao Faria Martins
Categorifying the $sl(2,C)$ Knizhnik-Zamolodchikov Connection via an Infinitesimal 2-Yang-Baxter Operator in the String Lie-2-Algebra
The main result was considerably sharpened. Title, abstract and introduction updated. 50 pages
Adv. Theor. Math. Phys. Volume 21, Number 1, 147 - 229, 2017
null
null
hep-th math.GT math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a flat (and fake-flat) 2-connection in the configuration space of $n$ indistinguishable particles in the complex plane, which categorifies the $sl(2,C)$-Knizhnik-Zamolodchikov connection obtained from the adjoint representation of $sl(2,C)$. This will be done by considering the adjoint categorical repres...
[ { "created": "Wed, 4 Jul 2012 22:09:32 GMT", "version": "v1" }, { "created": "Thu, 26 Jul 2012 14:27:44 GMT", "version": "v2" }, { "created": "Fri, 7 Dec 2012 23:37:40 GMT", "version": "v3" } ]
2017-05-23
[ [ "Cirio", "Lucio S.", "" ], [ "Martins", "João Faria", "" ] ]
We construct a flat (and fake-flat) 2-connection in the configuration space of $n$ indistinguishable particles in the complex plane, which categorifies the $sl(2,C)$-Knizhnik-Zamolodchikov connection obtained from the adjoint representation of $sl(2,C)$. This will be done by considering the adjoint categorical represen...
0709.2277
Rudra Prakash Malik
R. P. Malik (Bhu), B. P. Mandal (Bhu)
Nilpotent symmetry invariance in the non-Abelian 1-form gauge theory: superfield formalism
LaTeX file, 12 pages, journal version
Pramana 72:505-515,2009
10.1007/s12043-009-0045-4
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate that the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) non-Abelian 1-form gauge theory with Dirac fields can be captured within the framework of the superfield approach to BRST formalism. The above 4D theory, wh...
[ { "created": "Fri, 14 Sep 2007 12:35:51 GMT", "version": "v1" }, { "created": "Wed, 12 Nov 2008 15:10:33 GMT", "version": "v2" }, { "created": "Mon, 23 Mar 2009 07:29:01 GMT", "version": "v3" } ]
2015-05-13
[ [ "Malik", "R. P.", "", "Bhu" ], [ "Mandal", "B. P.", "", "Bhu" ] ]
We demonstrate that the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) non-Abelian 1-form gauge theory with Dirac fields can be captured within the framework of the superfield approach to BRST formalism. The above 4D theory, wher...
hep-th/0607071
Hugo Garcia-Compean
Hugo Garcia-Compean, Carlos Soto-Campos
Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
33+1 pages, 3 eps figures, typos corrected, references added, figure 3 corrected, modifications in sections 4 and 6, version published in Phys. Rev. D
Phys.Rev.D74:104028,2006
10.1103/PhysRevD.74.104028
Cinvestav-33-06
hep-th
null
We discuss some possible implications of a two-dimensional toy model for black hole evaporation in noncommutative field theory. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of massless and Hermitian scalar fields in the event horizon of a Schwarzschild ...
[ { "created": "Tue, 11 Jul 2006 16:30:29 GMT", "version": "v1" }, { "created": "Mon, 24 Jul 2006 22:43:34 GMT", "version": "v2" }, { "created": "Fri, 29 Dec 2006 18:36:19 GMT", "version": "v3" } ]
2008-11-26
[ [ "Garcia-Compean", "Hugo", "" ], [ "Soto-Campos", "Carlos", "" ] ]
We discuss some possible implications of a two-dimensional toy model for black hole evaporation in noncommutative field theory. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of massless and Hermitian scalar fields in the event horizon of a Schwarzschild bl...
1707.00636
Qin Zhao
Qin Zhao, Mir Faizal, Zaid Zaz
Short distance modification of the quantum virial theorem
16 pages
Phys. Lett. B 770, 564 (2017)
10.1016/j.physletb.2017.01.029
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will be treated quantum mechanically. Thus, using this approximation,...
[ { "created": "Fri, 19 May 2017 05:15:39 GMT", "version": "v1" } ]
2017-07-18
[ [ "Zhao", "Qin", "" ], [ "Faizal", "Mir", "" ], [ "Zaz", "Zaid", "" ] ]
In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will be treated quantum mechanically. Thus, using this approximation, t...
hep-th/9110016
null
Shahar Ben-Menahem (Stanford Linear Accelerator Center)
Self-Gravitating Strings In 2+1 Dimensions
55 pages
Phys.Rev. D47 (1993) 4344-4361
10.1103/PhysRevD.47.4344
null
hep-th
null
We present a family of classical spacetimes in 2+1 dimensions. Such a spacetime is produced by a Nambu-Goto self-gravitating string. Due to the special properties of three-dimensional gravity, the metric is completely described as a Minkowski space with two identified worldsheets. In the flat limit, the standard stri...
[ { "created": "Sun, 6 Oct 1991 06:33:00 GMT", "version": "v1" } ]
2009-10-22
[ [ "Ben-Menahem", "Shahar", "", "Stanford Linear Accelerator Center" ] ]
We present a family of classical spacetimes in 2+1 dimensions. Such a spacetime is produced by a Nambu-Goto self-gravitating string. Due to the special properties of three-dimensional gravity, the metric is completely described as a Minkowski space with two identified worldsheets. In the flat limit, the standard string...
hep-th/9401100
Meissner Krzysztof
Zbigniew Jask\'olski and Krzysztof A. Meissner
First Quantized Noncritical Relativistic Polyakov String
IC/94/11, 40 pages
Nucl.Phys. B428 (1994) 331-373
10.1016/0550-3213(94)90204-6
null
hep-th
null
The first quantization of the relativistic Brink-DiVecchia-Howe-Polyakov (BDHP) string in the range $1<d<25$ is considered. It is shown that using the Polyakov sum over bordered surfaces in the Feynman path integral quantization scheme one gets a consistent quantum mechanics of relativistic 1-dim extended objects in ...
[ { "created": "Thu, 20 Jan 1994 13:18:22 GMT", "version": "v1" }, { "created": "Fri, 21 Jan 1994 12:39:49 GMT", "version": "v2" }, { "created": "Sat, 22 Jan 1994 14:14:43 GMT", "version": "v3" } ]
2009-10-28
[ [ "Jaskólski", "Zbigniew", "" ], [ "Meissner", "Krzysztof A.", "" ] ]
The first quantization of the relativistic Brink-DiVecchia-Howe-Polyakov (BDHP) string in the range $1<d<25$ is considered. It is shown that using the Polyakov sum over bordered surfaces in the Feynman path integral quantization scheme one gets a consistent quantum mechanics of relativistic 1-dim extended objects in th...
hep-th/9912118
Jaume Garriga
Jaume Garriga and Misao Sasaki
Brane-world creation and black holes
15 pages, 2 figures, LaTeX. References added, typos corrected, added Comment on AdS/CFT correspondence
Phys.Rev.D62:043523,2000
10.1103/PhysRevD.62.043523
OU-TAP 108, UAB-FT 479
hep-th astro-ph gr-qc
null
An inflating brane-world can be created from ``nothing'' together with its Anti-de Sitter (AdS) bulk. The resulting space-time has compact spatial sections bounded by the brane. During inflation, the continuum of KK modes is separated from the massless zero mode by the gap $m=(3/2) H$, where $H$ is the Hubble rate. W...
[ { "created": "Tue, 14 Dec 1999 17:54:15 GMT", "version": "v1" }, { "created": "Tue, 7 Mar 2000 10:32:16 GMT", "version": "v2" } ]
2009-10-09
[ [ "Garriga", "Jaume", "" ], [ "Sasaki", "Misao", "" ] ]
An inflating brane-world can be created from ``nothing'' together with its Anti-de Sitter (AdS) bulk. The resulting space-time has compact spatial sections bounded by the brane. During inflation, the continuum of KK modes is separated from the massless zero mode by the gap $m=(3/2) H$, where $H$ is the Hubble rate. We ...
1111.2601
Iosif Bena
Iosif Bena, Hagen Triendl and Bert Vercnocke
Camouflaged Supersymmetry
9 pages, LaTeX
null
10.1103/PhysRevD.86.061701
IPhT-T11/210
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We establish a relation between certain classes of flux compactifications and certain families of black hole microstate solutions. This connection reveals a rather unexpected result: there exist supersymmetric solutions of N=8 supergravity that live inside many N=2 truncations, but are not supersymmetric inside any o...
[ { "created": "Thu, 10 Nov 2011 21:00:00 GMT", "version": "v1" } ]
2013-05-30
[ [ "Bena", "Iosif", "" ], [ "Triendl", "Hagen", "" ], [ "Vercnocke", "Bert", "" ] ]
We establish a relation between certain classes of flux compactifications and certain families of black hole microstate solutions. This connection reveals a rather unexpected result: there exist supersymmetric solutions of N=8 supergravity that live inside many N=2 truncations, but are not supersymmetric inside any of ...
hep-th/0401233
Albion Lawrence
Albion Lawrence and John McGreevy
Remarks on branes, fluxes, and soft SUSY breaking
11 pages, 2 figures, uses ws-procs9x6.cls, contribution to conference proceedings for QTS3
null
10.1142/9789812702340_0063
BRX-TH-531, PUTP-2109
hep-th
null
We review recent work identifying soft SUSY-breaking terms in local type II string models with branes and magnetic fluxes. We then make a new observation about the configuration space of D-branes in Calabi-Yau backgrounds, and identify vevs for nonperturbative charged hypermultiplets in Calabi-Yau backgrounds with N=...
[ { "created": "Thu, 29 Jan 2004 20:56:59 GMT", "version": "v1" } ]
2017-08-23
[ [ "Lawrence", "Albion", "" ], [ "McGreevy", "John", "" ] ]
We review recent work identifying soft SUSY-breaking terms in local type II string models with branes and magnetic fluxes. We then make a new observation about the configuration space of D-branes in Calabi-Yau backgrounds, and identify vevs for nonperturbative charged hypermultiplets in Calabi-Yau backgrounds with N=2 ...
hep-th/9609088
Shin'ichi Nojiri
Shin'ichi Nojiri
Casimir effect in the curved background and the black hole in three dimensions
Latex file, 10 pages
Int.J.Mod.Phys. A12 (1997) 4309-4316
10.1142/S0217751X97002346
NDA-FP-28
hep-th
null
We consider the quantum correction to the Lagrangean by the massless free boson in the curved background in three dimensions where one of the coordinates is periodic. The correction term is given by an expansion of the metric with respect to the derivative and the first term expresses to the usual Casimir energy. As ...
[ { "created": "Wed, 11 Sep 1996 08:10:28 GMT", "version": "v1" } ]
2009-10-30
[ [ "Nojiri", "Shin'ichi", "" ] ]
We consider the quantum correction to the Lagrangean by the massless free boson in the curved background in three dimensions where one of the coordinates is periodic. The correction term is given by an expansion of the metric with respect to the derivative and the first term expresses to the usual Casimir energy. As an...
1504.06640
Fedor Levkovich-Maslyuk
Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov
Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
24 pages, 7 figures; v2: updated data, added strong coupling fits, improvements of the algorithm described in section 3.4; v3: added Mathematica notebook with implementation of the algorithm, minor corrections in the text
null
10.1007/JHEP06(2016)036
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar ${\cal N}=4$ Super-Yang--Mills at finite coupling. The method is based on the Quantum Spectral Curve formalism. In contrast to Thermodynamic Bethe Ansatz, worked out only for some very special operators, thi...
[ { "created": "Fri, 24 Apr 2015 20:52:26 GMT", "version": "v1" }, { "created": "Tue, 12 Apr 2016 10:43:07 GMT", "version": "v2" }, { "created": "Sun, 5 Feb 2017 19:46:48 GMT", "version": "v3" } ]
2017-02-07
[ [ "Gromov", "Nikolay", "" ], [ "Levkovich-Maslyuk", "Fedor", "" ], [ "Sizov", "Grigory", "" ] ]
We developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar ${\cal N}=4$ Super-Yang--Mills at finite coupling. The method is based on the Quantum Spectral Curve formalism. In contrast to Thermodynamic Bethe Ansatz, worked out only for some very special operators, this ...
1711.07194
Pietro Antonio Grassi
L. Castellani, R. Catenacci, and P. A. Grassi
Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace
40 pages, Latex2e
null
10.1007/JHEP05(2018)040
DISIT-2017, YITP-17-68, ARC-17-09
hep-th hep-ph math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We reconstruct the action of $N=1, D=4$ Wess-Zumino and $N=1, 2, D=4$ super-Yang-Mills theories, using integral top forms on the supermanifold ${\cal M}^{(4|4)}$. Choosing different Picture Changing Operators, we show the equivalence of their rheonomic and superspace actions. The corresponding supergeometry and integ...
[ { "created": "Mon, 20 Nov 2017 08:28:42 GMT", "version": "v1" } ]
2018-06-13
[ [ "Castellani", "L.", "" ], [ "Catenacci", "R.", "" ], [ "Grassi", "P. A.", "" ] ]
We reconstruct the action of $N=1, D=4$ Wess-Zumino and $N=1, 2, D=4$ super-Yang-Mills theories, using integral top forms on the supermanifold ${\cal M}^{(4|4)}$. Choosing different Picture Changing Operators, we show the equivalence of their rheonomic and superspace actions. The corresponding supergeometry and integra...
2305.10224
Jacob Leedom
Meer Ashwinkumar, Jacob M. Leedom, Masahito Yamazaki
Duality Origami: Emergent Ensemble Symmetries in Holography and Swampland
6 pages
null
null
DESY 23-063
hep-th
http://creativecommons.org/licenses/by/4.0/
We discuss interrelations between several ideas in quantum gravity. One is the Swampland program, which states that a low-energy effective field theory should satisfy non-trivial constraints to have an ultraviolet (UV) completion in quantum gravity. Another is the concept of ensemble averaging in holography, where a ...
[ { "created": "Wed, 17 May 2023 13:57:29 GMT", "version": "v1" } ]
2023-05-18
[ [ "Ashwinkumar", "Meer", "" ], [ "Leedom", "Jacob M.", "" ], [ "Yamazaki", "Masahito", "" ] ]
We discuss interrelations between several ideas in quantum gravity. One is the Swampland program, which states that a low-energy effective field theory should satisfy non-trivial constraints to have an ultraviolet (UV) completion in quantum gravity. Another is the concept of ensemble averaging in holography, where a co...
1001.2036
Fedele Lizzi
A.A. Andrianov and Fedele Lizzi
Bosonic Spectral Action Induced from Anomaly Cancelation
14 pages
JHEP 1005:057,2010
10.1007/JHEP05(2010)057
DSF/1/2010; SPbU-IP-10-01 ; ICCUB-10-004
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action. In this sense the standard model coupled with gravity is induced by the quantum nature of the fermions. The regularization used is very natural in...
[ { "created": "Tue, 12 Jan 2010 22:34:04 GMT", "version": "v1" } ]
2014-11-20
[ [ "Andrianov", "A. A.", "" ], [ "Lizzi", "Fedele", "" ] ]
We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action. In this sense the standard model coupled with gravity is induced by the quantum nature of the fermions. The regularization used is very natural in n...
1512.07597
Musema Sinamuli Mr
Musema Sinamuli and Robert B. Mann
Super-Entropic Black Holes and the Kerr-CFT Correspondence
10 pages and 1 figure
null
10.1007/JHEP08(2016)148
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate that Kerr-CFT duality can be extended to super-entropic black holes, which have non-compact horizons with finite area. We demonstrate that this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black hole (which yields the super-entropic class)commutes with the near-horizon limit (whi...
[ { "created": "Wed, 23 Dec 2015 19:29:20 GMT", "version": "v1" } ]
2016-09-21
[ [ "Sinamuli", "Musema", "" ], [ "Mann", "Robert B.", "" ] ]
We demonstrate that Kerr-CFT duality can be extended to super-entropic black holes, which have non-compact horizons with finite area. We demonstrate that this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black hole (which yields the super-entropic class)commutes with the near-horizon limit (which...
2203.04435
Kory Stiffler
Muhammad Abdullah, Calvin Bavor, Biruk Chafamo, Xiaole Jiang, Muhammad Hamza Kalim, Kory Stiffler, and Catherine A. Whiting
Inflation from Dynamical Projective Connections
39 pages, 9 figures, added background material on coadjoint orbits of Virasoro algebra that demonstrates the string-inspired nature of the model, made various minor edits and corrections
null
10.1103/PhysRevD.106.084049
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show how the recently developed string-inspired, projectively-invariant gravitational model Thomas-Whitehead gravity (TW gravity) naturally gives rise to a field acting as the inflaton. In the formulation of TW gravity, a field $\mathcal{D}_{ab}$ is introduced into the projective connection components and is relat...
[ { "created": "Tue, 8 Mar 2022 23:04:07 GMT", "version": "v1" }, { "created": "Sun, 17 Apr 2022 22:50:40 GMT", "version": "v2" }, { "created": "Wed, 19 Oct 2022 03:45:44 GMT", "version": "v3" } ]
2022-11-09
[ [ "Abdullah", "Muhammad", "" ], [ "Bavor", "Calvin", "" ], [ "Chafamo", "Biruk", "" ], [ "Jiang", "Xiaole", "" ], [ "Kalim", "Muhammad Hamza", "" ], [ "Stiffler", "Kory", "" ], [ "Whiting", "Catherine A.", ""...
We show how the recently developed string-inspired, projectively-invariant gravitational model Thomas-Whitehead gravity (TW gravity) naturally gives rise to a field acting as the inflaton. In the formulation of TW gravity, a field $\mathcal{D}_{ab}$ is introduced into the projective connection components and is related...
hep-th/9709145
T. Schucker
J. M. Gracia-Bondia, B.Iochum, T. Schucker (Marseille)
The standard model in noncommutative geometry and fermion doubling
9 pages LaTeX
Phys.Lett.B416:123-128,1998
10.1016/S0370-2693(97)01310-5
CPT--97/P.3503, DFTUZ/97/08, UCR--FM--11--97
hep-th
null
The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard Model. We find it to impose that the noncommutative Yang-Mills action be symmetrized in an analogous way to the Dirac-Yukawa operator itse...
[ { "created": "Fri, 19 Sep 1997 13:20:52 GMT", "version": "v1" } ]
2008-11-26
[ [ "Gracia-Bondia", "J. M.", "", "Marseille" ], [ "Iochum", "B.", "", "Marseille" ], [ "Schucker", "T.", "", "Marseille" ] ]
The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard Model. We find it to impose that the noncommutative Yang-Mills action be symmetrized in an analogous way to the Dirac-Yukawa operator itself...
1411.2615
Jan Keitel
Volker Braun, Thomas W. Grimm, Jan Keitel
Complete Intersection Fibers in F-Theory
41 pages, 4 figures and 18 tables; added references in v2
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Global F-theory compactifications whose fibers are realized as complete intersections form a richer set of models than just hypersurfaces. The detailed study of the physics associated with such geometries depends crucially on being able to put the elliptic fiber into Weierstrass form. While such a transformation is a...
[ { "created": "Mon, 10 Nov 2014 21:03:18 GMT", "version": "v1" }, { "created": "Wed, 28 Jan 2015 15:01:36 GMT", "version": "v2" } ]
2015-01-29
[ [ "Braun", "Volker", "" ], [ "Grimm", "Thomas W.", "" ], [ "Keitel", "Jan", "" ] ]
Global F-theory compactifications whose fibers are realized as complete intersections form a richer set of models than just hypersurfaces. The detailed study of the physics associated with such geometries depends crucially on being able to put the elliptic fiber into Weierstrass form. While such a transformation is alw...
1011.4074
Yi-Fu Cai
Yi-Fu Cai, James B. Dent, Damien A. Easson
Warm DBI Inflation
5 pages, 1 figure, IPMU-10-0199
Phys. Rev. D 83, 101301(R) (2011)
10.1103/PhysRevD.83.101301
null
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a warm inflationary model in the context of relativistic D-brane inflation in a warped throat, which has Dirac-Born-Infeld (DBI) kinetic term and is coupled to radiation through a dissipation term. The perturbation freezes at the sound horizon and the power spectrum is determined by a combination of the di...
[ { "created": "Wed, 17 Nov 2010 21:02:57 GMT", "version": "v1" }, { "created": "Fri, 20 May 2011 13:20:57 GMT", "version": "v2" } ]
2011-05-23
[ [ "Cai", "Yi-Fu", "" ], [ "Dent", "James B.", "" ], [ "Easson", "Damien A.", "" ] ]
We propose a warm inflationary model in the context of relativistic D-brane inflation in a warped throat, which has Dirac-Born-Infeld (DBI) kinetic term and is coupled to radiation through a dissipation term. The perturbation freezes at the sound horizon and the power spectrum is determined by a combination of the diss...
1107.3565
Yael Shadmi
Yael Shadmi
Metastable Rank-Condition Supersymmetry Breaking in a Chiral Example
9 pages
JHEP 1108:149,2011
10.1007/JHEP08(2011)149
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss generalizations of Intriligator-Seiberg-Shih (ISS) vacua to chiral models. We study one example, of an s-confining theory, in detail. In the IR, this example reduces to two ISS-like sectors, and exhibits a supersymmetry-breaking vacuum with all pseudo-moduli stabilized at the origin, and with the R-symmetr...
[ { "created": "Mon, 18 Jul 2011 20:02:06 GMT", "version": "v1" } ]
2011-09-28
[ [ "Shadmi", "Yael", "" ] ]
We discuss generalizations of Intriligator-Seiberg-Shih (ISS) vacua to chiral models. We study one example, of an s-confining theory, in detail. In the IR, this example reduces to two ISS-like sectors, and exhibits a supersymmetry-breaking vacuum with all pseudo-moduli stabilized at the origin, and with the R-symmetry ...
1701.08755
Haresh Raval
Haresh Raval
Scaling of the coupling in the covariant ghost free gauge
The paper requires subtle contemplation at certain points
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I introduced the quadratic gauge for $SU(N)$ Yang-Mills theory and demonstrated its substantial implications in the non-perturbative theory in my previous works. An interesting case is to understand its implications in a perturbative regime and ask whether they differ anyway from the well established theory in this r...
[ { "created": "Mon, 30 Jan 2017 18:56:11 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2017 17:30:15 GMT", "version": "v2" } ]
2017-03-13
[ [ "Raval", "Haresh", "" ] ]
I introduced the quadratic gauge for $SU(N)$ Yang-Mills theory and demonstrated its substantial implications in the non-perturbative theory in my previous works. An interesting case is to understand its implications in a perturbative regime and ask whether they differ anyway from the well established theory in this reg...
1506.04543
Katsuki Aoki
Katsuki Aoki, Kei-ichi Maeda, Ryo Namba
Stability of the Early Universe in Bigravity Theory
24 pages, 8 figures, references added
Phys. Rev. D 92, 044054 (2015)
10.1103/PhysRevD.92.044054
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the stability of a spherically symmetric perturbation around the flat Friedmann-Lema$\hat{\i}$tre-Robertson-Walker spacetime in the ghost-free bigravity theory, retaining nonlinearities of the helicity-$0$ mode of the massive graviton. It has been known that, when the graviton mass is smaller than the Hubble...
[ { "created": "Mon, 15 Jun 2015 10:35:31 GMT", "version": "v1" }, { "created": "Tue, 23 Jun 2015 07:59:42 GMT", "version": "v2" } ]
2015-09-02
[ [ "Aoki", "Katsuki", "" ], [ "Maeda", "Kei-ichi", "" ], [ "Namba", "Ryo", "" ] ]
We study the stability of a spherically symmetric perturbation around the flat Friedmann-Lema$\hat{\i}$tre-Robertson-Walker spacetime in the ghost-free bigravity theory, retaining nonlinearities of the helicity-$0$ mode of the massive graviton. It has been known that, when the graviton mass is smaller than the Hubble p...
2311.01952
Cesar Gomez
Cesar Gomez
On the algebraic meaning of quantum gravity for closed Universes
46 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Assuming the von Neumann algebra associated with a generic de Sitter observer is properly infinite (type III) we use Connes cocycle to identify the unique ( up to unitary equivalence) background independent dominant weight on an extended algebra formally including an external observer. The background independent alge...
[ { "created": "Fri, 3 Nov 2023 14:46:58 GMT", "version": "v1" } ]
2023-11-06
[ [ "Gomez", "Cesar", "" ] ]
Assuming the von Neumann algebra associated with a generic de Sitter observer is properly infinite (type III) we use Connes cocycle to identify the unique ( up to unitary equivalence) background independent dominant weight on an extended algebra formally including an external observer. The background independent algebr...
1111.2790
Naoki Sasakura
Naoki Sasakura
Canonical tensor models with local time
25 pages, v3: misleading sentences concerning time reversal symmetry corrected, v2:minor corrections
null
10.1142/S0217751X12500200
YITP-11-93
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is an intriguing question how local time can be introduced in the emergent picture of spacetime. In this paper, this problem is discussed in the context of tensor models. To consistently incorporate local time into tensor models, a rank- three tensor model with first class constraints in Hamilton formalism is pres...
[ { "created": "Fri, 11 Nov 2011 16:27:06 GMT", "version": "v1" }, { "created": "Mon, 21 Nov 2011 08:08:15 GMT", "version": "v2" }, { "created": "Wed, 1 Feb 2012 05:48:12 GMT", "version": "v3" } ]
2015-06-03
[ [ "Sasakura", "Naoki", "" ] ]
It is an intriguing question how local time can be introduced in the emergent picture of spacetime. In this paper, this problem is discussed in the context of tensor models. To consistently incorporate local time into tensor models, a rank- three tensor model with first class constraints in Hamilton formalism is presen...
hep-th/9805201
Pierre van Baal
Thomas C. Kraan and Pierre van Baal
New Instanton Solutions at Finite Temperature
6 pages, 2 figures (in 5 parts), latex using espcrc1.sty, presented at "QCD at Finite Baryon Density", April 27-30, 1998, Bielefeld, Germany
Nucl.Phys. A642 (1998) 299-304
10.1016/S0375-9474(98)00529-6
INLO-PUB-7/98
hep-th hep-lat hep-ph
null
We discuss the newly found exact instanton solutions at finite temperature with a non-trivial Polyakov loop at infinity. They can be described in terms of monopole constituents and we discuss in this context an old result due to Taubes how to make out of monopoles non-trivial topological charge configurations, with p...
[ { "created": "Thu, 28 May 1998 14:12:14 GMT", "version": "v1" } ]
2009-10-31
[ [ "Kraan", "Thomas C.", "" ], [ "van Baal", "Pierre", "" ] ]
We discuss the newly found exact instanton solutions at finite temperature with a non-trivial Polyakov loop at infinity. They can be described in terms of monopole constituents and we discuss in this context an old result due to Taubes how to make out of monopoles non-trivial topological charge configurations, with pos...
1211.1662
Norman Rink
Norman A. Rink
Non-abelian vortices on CP^1 and Grassmannians
minor corrections; some notation improved
J. Math. Phys. 54, 043503 (2013)
10.1063/1.4798468
DAMTP-2012-69
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Many properties of the moduli space of abelian vortices on a compact Riemann surface are known. For non-abelian vortices the moduli space is less well understood. Here we consider non-abelian vortices on the Riemann sphere CP^1, and we study their moduli spaces near the Bradlow limit. We give an explicit description ...
[ { "created": "Wed, 7 Nov 2012 20:35:28 GMT", "version": "v1" }, { "created": "Mon, 8 Apr 2013 20:13:52 GMT", "version": "v2" } ]
2013-04-10
[ [ "Rink", "Norman A.", "" ] ]
Many properties of the moduli space of abelian vortices on a compact Riemann surface are known. For non-abelian vortices the moduli space is less well understood. Here we consider non-abelian vortices on the Riemann sphere CP^1, and we study their moduli spaces near the Bradlow limit. We give an explicit description of...
0909.5559
Athanasios Chatzistavrakidis
Athanasios Chatzistavrakidis, Harold Steinacker, George Zoupanos
On the fermion spectrum of spontaneously generated fuzzy extra dimensions with fluxes
18 pages, minor changes, references added
Fortsch.Phys.58:537-552,2010
10.1002/prop.201000018
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down to SO(3) x SO(3). We show that the theory behaves at intermediate scales as Ya...
[ { "created": "Wed, 30 Sep 2009 14:41:39 GMT", "version": "v1" }, { "created": "Tue, 13 Oct 2009 12:44:47 GMT", "version": "v2" } ]
2015-05-14
[ [ "Chatzistavrakidis", "Athanasios", "" ], [ "Steinacker", "Harold", "" ], [ "Zoupanos", "George", "" ] ]
We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down to SO(3) x SO(3). We show that the theory behaves at intermediate scales as Yang...
1210.0029
Moshe Rozali
Moshe Rozali
Compressible Matter at a Holographic Interface
5 pages (APS style), 3 figures. Version to be published in Physical Review Letters
null
10.1103/PhysRevLett.109.231601
null
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the interface between a fractional topological insulator and an ordinary insulator, both described using holography. By turning on a chemical potential we induce a finite density of matter localized at the interface. These are gapless surface excitations which are expected to have a fermionic character. We s...
[ { "created": "Fri, 28 Sep 2012 20:33:49 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2012 18:48:47 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2012 16:58:13 GMT", "version": "v3" } ]
2013-05-30
[ [ "Rozali", "Moshe", "" ] ]
We study the interface between a fractional topological insulator and an ordinary insulator, both described using holography. By turning on a chemical potential we induce a finite density of matter localized at the interface. These are gapless surface excitations which are expected to have a fermionic character. We stu...
1507.07079
Akihiro Ishibashi
Akihiro Ishibashi, Paolo Pani, Leonardo Gualtieri, and Vitor Cardoso
Superradiant instability of the Kerr brane
1+15 pages, no figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider linear gravitational perturbations of the Kerr brane, an exact solution of vacuum Einstein's equations in dimensions higher than four and a low-energy solution of string theory. Decomposing the perturbations in tensor harmonics of the transverse Ricci-flat space, we show that tensor- and vector-type metri...
[ { "created": "Sat, 25 Jul 2015 08:27:00 GMT", "version": "v1" } ]
2015-07-28
[ [ "Ishibashi", "Akihiro", "" ], [ "Pani", "Paolo", "" ], [ "Gualtieri", "Leonardo", "" ], [ "Cardoso", "Vitor", "" ] ]
We consider linear gravitational perturbations of the Kerr brane, an exact solution of vacuum Einstein's equations in dimensions higher than four and a low-energy solution of string theory. Decomposing the perturbations in tensor harmonics of the transverse Ricci-flat space, we show that tensor- and vector-type metric ...
hep-th/9501023
Nam SoonKeon
Changrim Ahn, Kong-Ju-Bock Lee, and Soonkeon Nam
Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model
4 pages, latex(uses Revtex), one figure
Phys.Rev.A54:4943-4946,1996
10.1103/PhysRevA.54.4943
KHTP-95-01, SNUTP-95-001
hep-th cond-mat
null
We relate two integrable models in (1+1) dimensions, namely, multicomponent Calogero-Sutherland model with particles and antiparticles interacting via the hyperbolic potential and the nonrelativistic factorizable $S$-matrix theory with $SU(N)$-invariance. We find complete solutions of the Yang-Baxter equations withou...
[ { "created": "Mon, 9 Jan 1995 04:57:42 GMT", "version": "v1" } ]
2016-09-06
[ [ "Ahn", "Changrim", "" ], [ "Lee", "Kong-Ju-Bock", "" ], [ "Nam", "Soonkeon", "" ] ]
We relate two integrable models in (1+1) dimensions, namely, multicomponent Calogero-Sutherland model with particles and antiparticles interacting via the hyperbolic potential and the nonrelativistic factorizable $S$-matrix theory with $SU(N)$-invariance. We find complete solutions of the Yang-Baxter equations without ...
1209.6351
Marco Matone
Marco Matone
Finite Strings From Non-Chiral Mumford Forms
12 pp. More results, references added
JHEP11(2012)050
10.1007/JHEP11(2012)050
null
hep-th math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4=2(c...
[ { "created": "Thu, 27 Sep 2012 19:59:29 GMT", "version": "v1" }, { "created": "Thu, 18 Oct 2012 19:14:47 GMT", "version": "v2" } ]
2012-11-13
[ [ "Matone", "Marco", "" ] ]
We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4=2(c_2...
1904.05379
Alvaro Herraez
Anamar\'ia Font, Alvaro Herr\'aez and Luis E. Ib\'a\~nez
The Swampland Distance Conjecture and Towers of Tensionless Branes
69 pages, 5 figures, 8 tables
null
10.1007/JHEP08(2019)044
IFT-UAM/CSIC-19-50
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Swampland Distance Conjecture states that at infinite distance in the scalar moduli space an infinite tower of particles become exponentially massless. We study this issue in the context of 4d type IIA and type IIB Calabi-Yau compactifications. We find that for large moduli not only towers of particles but also d...
[ { "created": "Wed, 10 Apr 2019 18:19:37 GMT", "version": "v1" } ]
2019-09-04
[ [ "Font", "Anamaría", "" ], [ "Herráez", "Alvaro", "" ], [ "Ibáñez", "Luis E.", "" ] ]
The Swampland Distance Conjecture states that at infinite distance in the scalar moduli space an infinite tower of particles become exponentially massless. We study this issue in the context of 4d type IIA and type IIB Calabi-Yau compactifications. We find that for large moduli not only towers of particles but also dom...
hep-th/0004080
Miguel Vazquez Mozo
G. Arcioni, J.L.F. Barbon, Joaquim Gomis and M.A. Vazquez-Mozo
On the stringy nature of winding modes in noncommutative thermal field theories
24 pages, harvmac, epsf. 5 postscript figures included
JHEP 0006 (2000) 038
10.1088/1126-6708/2000/06/038
CERN-TH/2000-114, DFTT 15/2000, SPIN-2000/13, UB-ECM-PF-00/06, ITFA-2000-08
hep-th
null
We show that thermal noncommutative field theories admit a version of `channel duality' reminiscent of open/closed string duality, where non-planar thermal loops can be replaced by an infinite tower of tree-level exchanges of effective fields. These effective fields resemble closed strings in three aspects: their mas...
[ { "created": "Tue, 11 Apr 2000 18:53:34 GMT", "version": "v1" }, { "created": "Tue, 11 Apr 2000 23:20:10 GMT", "version": "v2" } ]
2009-10-31
[ [ "Arcioni", "G.", "" ], [ "Barbon", "J. L. F.", "" ], [ "Gomis", "Joaquim", "" ], [ "Vazquez-Mozo", "M. A.", "" ] ]
We show that thermal noncommutative field theories admit a version of `channel duality' reminiscent of open/closed string duality, where non-planar thermal loops can be replaced by an infinite tower of tree-level exchanges of effective fields. These effective fields resemble closed strings in three aspects: their mass ...
1606.06407
V. Parameswaran Nair
V.P. Nair
Elements of Geometric Quantization and Applications to Fields and Fluids
69 pages
null
null
null
hep-th cond-mat.mes-hall math-ph math.MP quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of view. The original notes are posted at \verb+http://theorphyslab-ysu.info/VW_ASW-2...
[ { "created": "Tue, 21 Jun 2016 03:24:10 GMT", "version": "v1" } ]
2016-06-22
[ [ "Nair", "V. P.", "" ] ]
These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of view. The original notes are posted at \verb+http://theorphyslab-ysu.info/VW_ASW-201...
hep-th/9811133
Witold Pokorski
John Ellis, Zygmunt Lalak and Witold Pokorski
Five-Dimensional Gauged Supergravity and Supersymmetry Breaking in $M$~Theory
20 pages, LaTex, corrected typos and notation, added references
Nucl.Phys.B559:71-91,1999
10.1016/S0550-3213(99)00469-1
null
hep-th hep-ph
null
We extend the formulation of gauged supergravity in five dimensions, as obtained by compactification of $M$~theory on a deformed Calabi-Yau manifold, to include non-universal matter hypermultiplets. Even in the presence of this gauging, only the graviton supermultiplets and matter hypermultiplets can couple to supers...
[ { "created": "Sat, 14 Nov 1998 00:39:17 GMT", "version": "v1" }, { "created": "Fri, 11 Dec 1998 22:10:11 GMT", "version": "v2" } ]
2009-09-11
[ [ "Ellis", "John", "" ], [ "Lalak", "Zygmunt", "" ], [ "Pokorski", "Witold", "" ] ]
We extend the formulation of gauged supergravity in five dimensions, as obtained by compactification of $M$~theory on a deformed Calabi-Yau manifold, to include non-universal matter hypermultiplets. Even in the presence of this gauging, only the graviton supermultiplets and matter hypermultiplets can couple to supersym...
2102.06647
Alexey Milekhin
Alexey Milekhin
Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
v1: 48 pages, 24 figures. v2: typos corrected, references added
null
10.1007/JHEP12(2021)114
null
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We continue the investigation of coupled Sachdev-Ye-Kitaev(SYK) models without Schwarzian action dominance. Like the original SYK, at large N and low energies these models have an approximate reparametrization symmetry. However, the dominant action for reparametrizations is non-local due to the presence of irrelevant...
[ { "created": "Fri, 12 Feb 2021 17:42:04 GMT", "version": "v1" }, { "created": "Thu, 16 Sep 2021 21:57:34 GMT", "version": "v2" } ]
2022-01-05
[ [ "Milekhin", "Alexey", "" ] ]
We continue the investigation of coupled Sachdev-Ye-Kitaev(SYK) models without Schwarzian action dominance. Like the original SYK, at large N and low energies these models have an approximate reparametrization symmetry. However, the dominant action for reparametrizations is non-local due to the presence of irrelevant l...
1412.5577
Mads Sogaard
Mads Sogaard, Yang Zhang
Elliptic Functions and Maximal Unitarity
5 pages, 2 figures; v2: minor corrections, journal version
Phys.Rev. D91 (2015) 081701
10.1103/PhysRevD.91.081701
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Scattering amplitudes at loop level can be reduced to a basis of linearly independent Feynman integrals. The integral coefficients are extracted from generalized unitarity cuts which define algebraic varieties. The topology of an algebraic variety characterizes the difficulty of applying maximal cuts. In this work, w...
[ { "created": "Wed, 17 Dec 2014 20:56:53 GMT", "version": "v1" }, { "created": "Tue, 2 Jun 2015 13:17:34 GMT", "version": "v2" } ]
2015-06-03
[ [ "Sogaard", "Mads", "" ], [ "Zhang", "Yang", "" ] ]
Scattering amplitudes at loop level can be reduced to a basis of linearly independent Feynman integrals. The integral coefficients are extracted from generalized unitarity cuts which define algebraic varieties. The topology of an algebraic variety characterizes the difficulty of applying maximal cuts. In this work, we ...
hep-th/9907154
Roberto De Pietri
R. De Pietri, L. Freidel, K. Krasnov and C. Rovelli
Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
16 Pages (RevTeX), 4 eps figures. Minor revisions in the definition of the model
Nucl.Phys. B574 (2000) 785-806
10.1016/S0550-3213(00)00005-5
null
hep-th gr-qc
null
Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett-Crane quantum gravity model arises naturally from a theory of this type, but restricted to the homogeneous space S^3=SO(4)/SO(3), as a term in its Fey...
[ { "created": "Mon, 19 Jul 1999 17:26:58 GMT", "version": "v1" }, { "created": "Tue, 18 Apr 2000 14:25:35 GMT", "version": "v2" } ]
2009-10-31
[ [ "De Pietri", "R.", "" ], [ "Freidel", "L.", "" ], [ "Krasnov", "K.", "" ], [ "Rovelli", "C.", "" ] ]
Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett-Crane quantum gravity model arises naturally from a theory of this type, but restricted to the homogeneous space S^3=SO(4)/SO(3), as a term in its Feynm...
2011.06008
Uri Kol
Uri Kol
Subleading BMS Charges and The Lorentz Group
v2: references added
null
null
null
hep-th gr-qc hep-ph math-ph math.MP
http://creativecommons.org/licenses/by/4.0/
The extended BMS group includes supertranslation, dual supertranslation and Lorentz transformations. The generators of these symmetries can be classified according to their parity into "electric" and "magnetic" types. Using a multipole expansion of gravitational sources in the Newman-Penrose formalism, we associate e...
[ { "created": "Wed, 11 Nov 2020 19:00:17 GMT", "version": "v1" }, { "created": "Tue, 17 Aug 2021 01:15:57 GMT", "version": "v2" } ]
2021-08-18
[ [ "Kol", "Uri", "" ] ]
The extended BMS group includes supertranslation, dual supertranslation and Lorentz transformations. The generators of these symmetries can be classified according to their parity into "electric" and "magnetic" types. Using a multipole expansion of gravitational sources in the Newman-Penrose formalism, we associate eac...
1904.03003
Dongsheng Ge
Dongsheng Ge and Giuseppe Policastro
Circuit Complexity and 2D Bosonisation
Fix typos and add references
null
10.1007/JHEP10(2019)276
null
hep-th quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the circuit complexity of free bosons, or equivalently free fermions, in 1+1 dimensions. Motivated by the results of [1] and [2, 3] who found different behavior in the complexity of free bosons and fermions, in any dimension, we consider the 1+1 dimensional case where, thanks to the bosonisation equivalen...
[ { "created": "Fri, 5 Apr 2019 11:45:20 GMT", "version": "v1" }, { "created": "Wed, 5 Jun 2019 21:18:56 GMT", "version": "v2" }, { "created": "Wed, 4 Dec 2019 10:38:17 GMT", "version": "v3" } ]
2020-01-08
[ [ "Ge", "Dongsheng", "" ], [ "Policastro", "Giuseppe", "" ] ]
We consider the circuit complexity of free bosons, or equivalently free fermions, in 1+1 dimensions. Motivated by the results of [1] and [2, 3] who found different behavior in the complexity of free bosons and fermions, in any dimension, we consider the 1+1 dimensional case where, thanks to the bosonisation equivalence...
hep-th/0412309
Horacio E. Camblong
Horacio E. Camblong and Carlos R. Ordonez
Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics
18 pages. Sections 1 through 4 were reduced by eliminating inessential equations and paragraphs; additional comments were added in Section 5. A few typos were corrected. The central equations and concepts remain unchanged
Phys.Rev. D71 (2005) 124040
10.1103/PhysRevD.71.124040
null
hep-th gr-qc math-ph math.MP quant-ph
null
Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a $D$-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the simultaneous use of: (i) a near-horizon description of the scalar field in terms...
[ { "created": "Mon, 27 Dec 2004 21:18:38 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2005 23:51:19 GMT", "version": "v2" } ]
2007-05-23
[ [ "Camblong", "Horacio E.", "" ], [ "Ordonez", "Carlos R.", "" ] ]
Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a $D$-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the simultaneous use of: (i) a near-horizon description of the scalar field in terms o...
hep-th/0301213
Masashi Hamanaka
Masashi Hamanaka and Kouichi Toda
Noncommutative Burgers Equation
24 pages, LaTeX, 1 figure; v2: discussions on Ward conjecture, Sato theory and the integrability added, references added, version to appear in J. Phys. A
J.Phys.A36:11981-11998,2003
10.1088/0305-4470/36/48/006
UT-02-56
hep-th math-ph math.MP nlin.SI
null
We present a noncommutative version of the Burgers equation which possesses the Lax representation and discuss the integrability in detail. We find a noncommutative version of the Cole-Hopf transformation and succeed in the linearization of it. The linearized equation is the (noncommutative) diffusion equation and ex...
[ { "created": "Mon, 27 Jan 2003 10:03:14 GMT", "version": "v1" }, { "created": "Tue, 30 Sep 2003 06:53:12 GMT", "version": "v2" } ]
2008-11-26
[ [ "Hamanaka", "Masashi", "" ], [ "Toda", "Kouichi", "" ] ]
We present a noncommutative version of the Burgers equation which possesses the Lax representation and discuss the integrability in detail. We find a noncommutative version of the Cole-Hopf transformation and succeed in the linearization of it. The linearized equation is the (noncommutative) diffusion equation and exac...
hep-th/0212137
Ian Kogan
Ian I. Kogan and Dimitri Polyakov
Ghost-Matter Mixing and Feigenbaum Universality in String Theory
14 pages, typos corrected. Dedicated to the 80-th birthday of Karen Avetovich Ter-Martirosyan
Phys.Atom.Nucl. 66 (2003) 2062-2069; Yad.Fiz. 66 (2003) 2111-2118
10.1134/1.1625749
OUTP-02/44P, HIP-2002-65/TH
hep-th nlin.CD
null
Brane-like vertex operators, defining backgrounds with the ghost-matter mixing in NSR superstring theory, play an important role in a world-sheet formulation of D-branes and M theory, being creation operators for extended objects in the second quantized formalism. In this paper we show that dilaton's beta function in...
[ { "created": "Thu, 12 Dec 2002 00:22:13 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2002 22:12:10 GMT", "version": "v2" }, { "created": "Wed, 23 Apr 2003 16:45:55 GMT", "version": "v3" } ]
2009-11-07
[ [ "Kogan", "Ian I.", "" ], [ "Polyakov", "Dimitri", "" ] ]
Brane-like vertex operators, defining backgrounds with the ghost-matter mixing in NSR superstring theory, play an important role in a world-sheet formulation of D-branes and M theory, being creation operators for extended objects in the second quantized formalism. In this paper we show that dilaton's beta function in g...
hep-th/0602023
Neda Sadooghi
Amir Jafari Salim and Neda Sadooghi
Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
Latex file, 19 pp, no figure
Phys.Rev.D73:065023,2006
10.1103/PhysRevD.73.065023
IPM/P-2006/005
hep-th
null
In the presence of a strong magnetic field, the effective action of a composite scalar field in an scalar O(N) model is derived using two different methods. First, in the framework of worldline formalism, the 1PI n-point vertex function for the composites is determined in the limit of strong magnetic field. Then, the...
[ { "created": "Thu, 2 Feb 2006 16:27:03 GMT", "version": "v1" } ]
2008-11-26
[ [ "Salim", "Amir Jafari", "" ], [ "Sadooghi", "Neda", "" ] ]
In the presence of a strong magnetic field, the effective action of a composite scalar field in an scalar O(N) model is derived using two different methods. First, in the framework of worldline formalism, the 1PI n-point vertex function for the composites is determined in the limit of strong magnetic field. Then, the n...
hep-th/0507090
Jacques Distler
Jacques Distler and Uday Varadarajan
Random Polynomials and the Friendly Landscape
30 pages, LaTeX2e, using utarticle.cls, utphys.bst
null
null
UTTG-07-05
hep-th
null
In hep-th/0501082, a field theoretic ``toy model'' for the Landscape was proposed. We show that the considerations of that paper carry through to realistic effective Lagrangians, such as those that emerge out of string theory. Extracting the physics of the large number of metastable vacua that ensue requires somewhat...
[ { "created": "Fri, 8 Jul 2005 20:03:29 GMT", "version": "v1" } ]
2007-05-23
[ [ "Distler", "Jacques", "" ], [ "Varadarajan", "Uday", "" ] ]
In hep-th/0501082, a field theoretic ``toy model'' for the Landscape was proposed. We show that the considerations of that paper carry through to realistic effective Lagrangians, such as those that emerge out of string theory. Extracting the physics of the large number of metastable vacua that ensue requires somewhat m...
hep-th/9512107
Charles Thorn
Oren Bergman and Charles B. Thorn
Universality and Clustering in 1+1 Dimensional Superstring-Bit Models
11 pages, Latex document
Phys.Rev.Lett. 76 (1996) 2214-2217
10.1103/PhysRevLett.76.2214
UFIFT-HEP-95-31
hep-th
null
We construct a 1+1 dimensional superstring-bit model for D=3 Type IIB superstring. This low dimension model escapes the problems encountered in higher dimension models: (1) It possesses full Galilean supersymmetry; (2) For noninteracting polymers of bits, the exactly soluble linear superpotential describing bit inter...
[ { "created": "Thu, 14 Dec 1995 20:59:32 GMT", "version": "v1" } ]
2009-10-28
[ [ "Bergman", "Oren", "" ], [ "Thorn", "Charles B.", "" ] ]
We construct a 1+1 dimensional superstring-bit model for D=3 Type IIB superstring. This low dimension model escapes the problems encountered in higher dimension models: (1) It possesses full Galilean supersymmetry; (2) For noninteracting polymers of bits, the exactly soluble linear superpotential describing bit interac...
hep-th/9807033
M. B. Green
Massimo Bianchi, Michael B. Green, Stefano Kovacs and Giancarlo Rossi
Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
41 pages, LaTeX. Typos corrected and minor clarifications added
JHEP 9808 (1998) 013
10.1088/1126-6708/1998/08/013
ROM2F-98-25; DAMTP-98-69
hep-th
null
The one-instanton contributions to various correlation functions of supercurrents in four-dimensional N=4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order in perturbation theory.Expressions of the same form are obtained from the leading effects of a single D-instanton extracted from the IIB su...
[ { "created": "Fri, 3 Jul 1998 20:54:47 GMT", "version": "v1" }, { "created": "Sun, 5 Jul 1998 19:22:51 GMT", "version": "v2" }, { "created": "Wed, 15 Jul 1998 12:09:10 GMT", "version": "v3" } ]
2009-10-31
[ [ "Bianchi", "Massimo", "" ], [ "Green", "Michael B.", "" ], [ "Kovacs", "Stefano", "" ], [ "Rossi", "Giancarlo", "" ] ]
The one-instanton contributions to various correlation functions of supercurrents in four-dimensional N=4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order in perturbation theory.Expressions of the same form are obtained from the leading effects of a single D-instanton extracted from the IIB supe...
1801.05460
Chiung Hwang
Chiung Hwang, Sungjay Lee, Piljin Yi
Holonomy Saddles and Supersymmetry
66 pages; comments and references added, typos corrected
Phys. Rev. D 97, 125013 (2018)
10.1103/PhysRevD.97.125013
KIAS-P18005
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In gauge theories on a spacetime equipped with a circle, the holonomy variables, living in the Cartan torus, play special roles. With their periodic nature properly taken into account, we find that a supersymmetric gauge theory in $d$ dimensions tends to reduce in the small radius limit to a disjoint sum of multiple ...
[ { "created": "Tue, 16 Jan 2018 19:37:44 GMT", "version": "v1" }, { "created": "Wed, 20 Jun 2018 00:25:57 GMT", "version": "v2" } ]
2018-06-27
[ [ "Hwang", "Chiung", "" ], [ "Lee", "Sungjay", "" ], [ "Yi", "Piljin", "" ] ]
In gauge theories on a spacetime equipped with a circle, the holonomy variables, living in the Cartan torus, play special roles. With their periodic nature properly taken into account, we find that a supersymmetric gauge theory in $d$ dimensions tends to reduce in the small radius limit to a disjoint sum of multiple $(...
0802.0544
Ashoke Sen
Shamik Banerjee, Ashoke Sen, Yogesh K. Srivastava
Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
LaTeX file, 63 pages
JHEP 0805:101,2008
10.1088/1126-6708/2008/05/101
null
hep-th
null
We propose a general set of constraints on the partition function of quarter BPS dyons in any N=4 supersymmetric string theory by drawing insight from known examples, and study the consequences of this proposal. The main ingredients of our analysis are duality symmetries, wall crossing formula and black hole entropy....
[ { "created": "Tue, 5 Feb 2008 07:10:05 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2008 03:06:21 GMT", "version": "v2" } ]
2009-09-15
[ [ "Banerjee", "Shamik", "" ], [ "Sen", "Ashoke", "" ], [ "Srivastava", "Yogesh K.", "" ] ]
We propose a general set of constraints on the partition function of quarter BPS dyons in any N=4 supersymmetric string theory by drawing insight from known examples, and study the consequences of this proposal. The main ingredients of our analysis are duality symmetries, wall crossing formula and black hole entropy. W...
2405.08862
Marc Schiffer
Astrid Eichhorn, Andreas Odgaard Pedersen, Marc Schiffer
Application of positivity bounds in asymptotically safe gravity
5 pages plus supplementary material; 2 figures plus 6 figures in supplementary material
null
null
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Positivity bounds are bounds on the Wilson coefficients of an effective field theory. They hold, if the ultraviolet completion satisfies unitarity, microcausality, locality and Lorentz symmetry; accordingly their violation signals a violation of at least one of these properties of the ultraviolet completion. We explo...
[ { "created": "Tue, 14 May 2024 18:00:01 GMT", "version": "v1" } ]
2024-05-16
[ [ "Eichhorn", "Astrid", "" ], [ "Pedersen", "Andreas Odgaard", "" ], [ "Schiffer", "Marc", "" ] ]
Positivity bounds are bounds on the Wilson coefficients of an effective field theory. They hold, if the ultraviolet completion satisfies unitarity, microcausality, locality and Lorentz symmetry; accordingly their violation signals a violation of at least one of these properties of the ultraviolet completion. We explore...
2012.09253
Christian Saemann
Dominik Rist, Christian Saemann, Miro van der Worp
Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
29 pages, typos fixed, clarifications added, published version
JHEP 2106 (2021) 036
10.1007/JHEP06(2021)036
EMPG-20-25
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial additional fields. The action contains both $\mathcal{N}=(1,0)$ tensor and vector multiplets and is non-trivially interacting. The tensor multiplet part is loosel...
[ { "created": "Wed, 16 Dec 2020 20:38:53 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 2021 10:46:22 GMT", "version": "v2" } ]
2021-06-09
[ [ "Rist", "Dominik", "" ], [ "Saemann", "Christian", "" ], [ "van der Worp", "Miro", "" ] ]
We present a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial additional fields. The action contains both $\mathcal{N}=(1,0)$ tensor and vector multiplets and is non-trivially interacting. The tensor multiplet part is loosely ...
2312.09221
James Ingoldby
Olivier Delouche, Joan Elias Miro, James Ingoldby
Hamiltonian Truncation Crafted for UV-divergent QFTs
Published version with corrected typos, 42 pages, 12 figures
SciPost Phys. 16, 105 (2024)
10.21468/SciPostPhys.16.4.105
IPPP/23/79
hep-th cond-mat.stat-mech hep-lat hep-ph
http://creativecommons.org/licenses/by/4.0/
We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of $d=1+1$ CFT...
[ { "created": "Thu, 14 Dec 2023 18:50:35 GMT", "version": "v1" }, { "created": "Tue, 7 May 2024 18:01:02 GMT", "version": "v2" } ]
2024-05-09
[ [ "Delouche", "Olivier", "" ], [ "Miro", "Joan Elias", "" ], [ "Ingoldby", "James", "" ] ]
We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of $d=1+1$ CFTs....
hep-th/0410094
Massimo Giovannini
Massimo Giovannini
Rotational inhomogeneities from pre-big bang?
21 pages, corrected typos, references added; to appear in Class. Quantum Grav
Class.Quant.Grav.22:363-378,2005
10.1088/0264-9381/22/2/009
CERN-PH-TH/2004-198
hep-th astro-ph gr-qc hep-ph
null
The evolution of the rotational inhomogeneities is investigated in the specific framework of four-dimensional pre-big bang models. While minimal (dilaton-driven) scenarios do not lead to rotational fluctuations, in the case of non-minimal (string-driven) models, fluid sources are present in the pre-big bang phase. Th...
[ { "created": "Fri, 8 Oct 2004 18:01:31 GMT", "version": "v1" }, { "created": "Sat, 9 Oct 2004 14:02:28 GMT", "version": "v2" }, { "created": "Sun, 26 Dec 2004 12:03:42 GMT", "version": "v3" } ]
2010-11-19
[ [ "Giovannini", "Massimo", "" ] ]
The evolution of the rotational inhomogeneities is investigated in the specific framework of four-dimensional pre-big bang models. While minimal (dilaton-driven) scenarios do not lead to rotational fluctuations, in the case of non-minimal (string-driven) models, fluid sources are present in the pre-big bang phase. The ...
hep-th/9203030
Matthias Staudacher
Ivan K. Kostov and Matthias Staudacher
Multicritical Phases of the O(n) Model on a Random Lattice
28 pages, 4 figures (not included)
Nucl.Phys. B384 (1992) 459-483
10.1016/0550-3213(92)90576-W
null
hep-th
null
We exhibit the multicritical phase structure of the loop gas model on a random surface. The dense phase is reconsidered, with special attention paid to the topological points $g=1/p$. This phase is complementary to the dilute and higher multicritical phases in the sense that dense models contain the same spectrum of ...
[ { "created": "Tue, 10 Mar 1992 22:22:23 GMT", "version": "v1" } ]
2009-10-22
[ [ "Kostov", "Ivan K.", "" ], [ "Staudacher", "Matthias", "" ] ]
We exhibit the multicritical phase structure of the loop gas model on a random surface. The dense phase is reconsidered, with special attention paid to the topological points $g=1/p$. This phase is complementary to the dilute and higher multicritical phases in the sense that dense models contain the same spectrum of bu...
2204.08705
Andrei Smilga
Andrei Smilga
Comments on noncommutative quantum mechanical systems associated with Lie algebras
12 pages. Discussion of higher spheres and of higher $N$ in the Gurevich-Saponov model added
null
10.1016/j.geomphys.2022.104628
null
hep-th math-ph math.GR math.MP
http://creativecommons.org/licenses/by/4.0/
We consider quantum mechanics on the noncommutative spaces characterized by the commutation relations $$ [x_a, x_b] \ =\ i\theta f_{abc} x_c\,, $$ where $f_{abc}$ are the structure constants of a Lie algebra. We note that this problem can be reformulated as an ordinary quantum problem in a commuting momentum space. T...
[ { "created": "Tue, 19 Apr 2022 07:15:58 GMT", "version": "v1" }, { "created": "Sun, 1 May 2022 12:24:25 GMT", "version": "v2" }, { "created": "Sat, 28 May 2022 10:38:14 GMT", "version": "v3" } ]
2022-08-17
[ [ "Smilga", "Andrei", "" ] ]
We consider quantum mechanics on the noncommutative spaces characterized by the commutation relations $$ [x_a, x_b] \ =\ i\theta f_{abc} x_c\,, $$ where $f_{abc}$ are the structure constants of a Lie algebra. We note that this problem can be reformulated as an ordinary quantum problem in a commuting momentum space. The...
1204.3103
Matthias Kaminski
Xin Gao, Matthias Kaminski, Hua-Bi Zeng, Hai-Qing Zhang
Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
32 pages, 12 figures; v3: string theory derivation of setup added (section 3.1), improved presentation, version accepted by JHEP; v2: paragraph added to discussion, figure added, references added, typos corrected
null
10.1007/JHEP11(2012)112
null
hep-th cond-mat.str-el cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Most holographic models of superconducting systems neglect the effects of dynamical boundary gauge fields during the process of spontaneous symmetry-breaking. Usually a global symmetry gets broken. This yields a superfluid, which then is gauged "weakly" afterwards. In this work we build (and probe the dynamics of) a ...
[ { "created": "Fri, 13 Apr 2012 20:37:12 GMT", "version": "v1" }, { "created": "Fri, 27 Apr 2012 20:31:09 GMT", "version": "v2" }, { "created": "Thu, 8 Nov 2012 06:21:16 GMT", "version": "v3" } ]
2015-06-04
[ [ "Gao", "Xin", "" ], [ "Kaminski", "Matthias", "" ], [ "Zeng", "Hua-Bi", "" ], [ "Zhang", "Hai-Qing", "" ] ]
Most holographic models of superconducting systems neglect the effects of dynamical boundary gauge fields during the process of spontaneous symmetry-breaking. Usually a global symmetry gets broken. This yields a superfluid, which then is gauged "weakly" afterwards. In this work we build (and probe the dynamics of) a ho...
hep-th/0409024
Don N. Page
Don N. Page
Hawking Radiation and Black Hole Thermodynamics
46 pages, LaTeX, review article solicited for a celebratory Focus Issue on Relativity, ``Spacetime 100 Years Later,'' to be published in New Journal of Physics. A new paragraph was added after Eq. (2), and a new long Section 5 on "Logarithmic corrections to black hole entropy."
New J.Phys.7:203,2005
10.1088/1367-2630/7/1/203
Alberta-Thy-18-04
hep-th astro-ph gr-qc
null
An inexhaustive review of Hawking radiation and black hole thermodynamics is given, focusing especially upon some of the historical aspects as seen from the biased viewpoint of a minor player in the field on and off for the past thirty years.
[ { "created": "Thu, 2 Sep 2004 17:27:13 GMT", "version": "v1" }, { "created": "Fri, 3 Sep 2004 15:33:46 GMT", "version": "v2" }, { "created": "Fri, 31 Dec 2004 22:33:31 GMT", "version": "v3" } ]
2014-11-18
[ [ "Page", "Don N.", "" ] ]
An inexhaustive review of Hawking radiation and black hole thermodynamics is given, focusing especially upon some of the historical aspects as seen from the biased viewpoint of a minor player in the field on and off for the past thirty years.
hep-th/9606054
Kim Sang-jun
Sang-Jun Kim and Choonkyu Lee
Quantum Description of Anyons: Role of Contact Terms
27 pages and 7 figures
Phys.Rev. D55 (1997) 2227-2239
10.1103/PhysRevD.55.2227
SNUTP 96-054
hep-th
null
We make an all-order analysis to establish the precise correspondence between nonrelativistic Chern-Simons quantum field theory and an appropriate first-quantized description. Physical role of the field-theoretic contact term in the context of renormalized perturbation theory is clarifed through their connection to s...
[ { "created": "Tue, 11 Jun 1996 15:49:36 GMT", "version": "v1" } ]
2009-10-30
[ [ "Kim", "Sang-Jun", "" ], [ "Lee", "Choonkyu", "" ] ]
We make an all-order analysis to establish the precise correspondence between nonrelativistic Chern-Simons quantum field theory and an appropriate first-quantized description. Physical role of the field-theoretic contact term in the context of renormalized perturbation theory is clarifed through their connection to sel...
hep-th/9907080
Paul Steinhardt
Paul J. Steinhardt (Princeton U.)
General considerations of the cosmological constant and the stabilization of moduli in the brane-world picture
5 pages, no figures
Phys.Lett.B462:41-47,1999
10.1016/S0370-2693(99)00897-7
null
hep-th astro-ph
null
We argue that the brane-world picture with matter-fields confined to 4-d domain walls and with gravitational interactions across the bulk disallows adding an arbitrary constant to the low-energy, 4-d effective theory -- which finesses the usual cosmological constant problem. The analysis also points to difficulties i...
[ { "created": "Mon, 12 Jul 1999 02:58:49 GMT", "version": "v1" } ]
2009-09-15
[ [ "Steinhardt", "Paul J.", "", "Princeton U." ] ]
We argue that the brane-world picture with matter-fields confined to 4-d domain walls and with gravitational interactions across the bulk disallows adding an arbitrary constant to the low-energy, 4-d effective theory -- which finesses the usual cosmological constant problem. The analysis also points to difficulties in ...
hep-th/0310112
Evgeny Buchbinder
Evgeny I. Buchbinder and Burt A. Ovrut
Vacuum Stability in Heterotic M-Theory
39 pages, minor corrections
Phys.Rev. D69 (2004) 086010
10.1103/PhysRevD.69.086010
null
hep-th
null
The problem of the stabilization of moduli is discussed within the context of compactified strongly coupled heterotic string theory. It is shown that all geometric, vector bundle and five-brane moduli are completely fixed, within a phenomenologically acceptable range, by non-perturbative physics. This result requires...
[ { "created": "Sun, 12 Oct 2003 18:56:20 GMT", "version": "v1" }, { "created": "Thu, 30 Oct 2003 23:24:24 GMT", "version": "v2" }, { "created": "Tue, 29 Jun 2004 18:58:40 GMT", "version": "v3" } ]
2009-11-10
[ [ "Buchbinder", "Evgeny I.", "" ], [ "Ovrut", "Burt A.", "" ] ]
The problem of the stabilization of moduli is discussed within the context of compactified strongly coupled heterotic string theory. It is shown that all geometric, vector bundle and five-brane moduli are completely fixed, within a phenomenologically acceptable range, by non-perturbative physics. This result requires, ...
1604.02779
Jia-ju Zhang
Zhibin Li and Jia-ju Zhang
On one-loop entanglement entropy of two short intervals from OPE of twist operators
V1, 27 pages; V2, 27 pages, typos corrected, references added, published version
JHEP 1605 (2016) 130
10.1007/JHEP05(2016)130
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the one-loop entanglement entropy of two short intervals with small cross ratio $x$ on a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the one-loop entanglement entropy instead of the general order $n$ R\'enyi entropy, and...
[ { "created": "Mon, 11 Apr 2016 03:20:57 GMT", "version": "v1" }, { "created": "Wed, 8 Jun 2016 03:11:55 GMT", "version": "v2" } ]
2016-06-09
[ [ "Li", "Zhibin", "" ], [ "Zhang", "Jia-ju", "" ] ]
We investigate the one-loop entanglement entropy of two short intervals with small cross ratio $x$ on a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the one-loop entanglement entropy instead of the general order $n$ R\'enyi entropy, and t...
2404.05751
G. Alencar
E.W.D. Dantas, G. Alencar, I. Guedes and Milko Estrada
Quantized $p$-form Gauge Field in D-dimensional de Sitter Spacetime
null
Universe 2024, 10(7), 281
10.3390/universe10070281
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work, we utilize the dynamic invariant method to obtain a solution for the time-dependent Schr\"odinger equation, aiming to explore the quantum theory of a $p$-form gauge field propagating in $D$-dimensional de Sitter spacetimes. Thus, we present a generalization, through the use of $p$-form gauge fields, of ...
[ { "created": "Thu, 4 Apr 2024 22:14:18 GMT", "version": "v1" } ]
2024-07-03
[ [ "Dantas", "E. W. D.", "" ], [ "Alencar", "G.", "" ], [ "Guedes", "I.", "" ], [ "Estrada", "Milko", "" ] ]
In this work, we utilize the dynamic invariant method to obtain a solution for the time-dependent Schr\"odinger equation, aiming to explore the quantum theory of a $p$-form gauge field propagating in $D$-dimensional de Sitter spacetimes. Thus, we present a generalization, through the use of $p$-form gauge fields, of th...
2108.00023
Jeremy Mann
Ilija Buric, Sylvain Lacroix, Jeremy A. Mann, Lorenzo Quintavalle and Volker Schomerus
Gaudin Models and Multipoint Conformal Blocks II: Comb channel vertices in 3D and 4D
67 pages, 4 figures, v2: published version, inaccuracies corrected, figure and tables added, two Mathematica notebooks added
JHEP 11 (2021) 182
10.1007/JHEP11(2021)182
DESY 21-105, SAGEX-21-14-E, ZMP-HH/21-15
hep-th math-ph math.MP math.QA math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It was recently shown that multi-point conformal blocks in higher dimensional conformal field theory can be considered as joint eigenfunctions for a system of commuting differential operators. The latter arise as Hamiltonians of a Gaudin integrable system. In this work we address the reduced fourth order differential...
[ { "created": "Fri, 30 Jul 2021 18:00:26 GMT", "version": "v1" }, { "created": "Wed, 1 Dec 2021 07:58:13 GMT", "version": "v2" } ]
2021-12-02
[ [ "Buric", "Ilija", "" ], [ "Lacroix", "Sylvain", "" ], [ "Mann", "Jeremy A.", "" ], [ "Quintavalle", "Lorenzo", "" ], [ "Schomerus", "Volker", "" ] ]
It was recently shown that multi-point conformal blocks in higher dimensional conformal field theory can be considered as joint eigenfunctions for a system of commuting differential operators. The latter arise as Hamiltonians of a Gaudin integrable system. In this work we address the reduced fourth order differential o...
hep-th/0410172
Beatriz Gato-Rivera
Beatriz Gato-Rivera
The Adapted Ordering Method in Representation Theory
Several improvements in the redaction. Conclusions and references added. Latex, 11 pages
null
null
IMAFF-FM-04/19, NIKHEF-2004-012
hep-th math-ph math.MP math.RA math.RT
null
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras. This method, which proves to be very powerful, can be applied to most algebras and superalgebras, however. It allows: to determine maximal dimensions for a given type of singular vector space, to identify a...
[ { "created": "Fri, 15 Oct 2004 16:31:06 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 2004 14:29:40 GMT", "version": "v2" } ]
2007-05-23
[ [ "Gato-Rivera", "Beatriz", "" ] ]
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras. This method, which proves to be very powerful, can be applied to most algebras and superalgebras, however. It allows: to determine maximal dimensions for a given type of singular vector space, to identify all...
hep-th/0111069
Washington Taylor
Gregory Moore (Rutgers) and Washington Taylor (MIT)
The singular geometry of the sliver
27 pages, Latex; v2: typos corrected, references added
JHEP 0201 (2002) 004
10.1088/1126-6708/2002/01/004
MIT-CTP-3207, RUNHETC-2001-32
hep-th
null
We consider "sliver" states which act as projection operators in the matter star product of Witten's cubic string field theory. These sliver states, which might be associated with Dirichlet p-branes, are not finite norm states in the matter string Hilbert space. We describe the singularities of these states, and demo...
[ { "created": "Wed, 7 Nov 2001 22:12:54 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2001 02:45:33 GMT", "version": "v2" } ]
2009-11-07
[ [ "Moore", "Gregory", "", "Rutgers" ], [ "Taylor", "Washington", "", "MIT" ] ]
We consider "sliver" states which act as projection operators in the matter star product of Witten's cubic string field theory. These sliver states, which might be associated with Dirichlet p-branes, are not finite norm states in the matter string Hilbert space. We describe the singularities of these states, and demons...
1509.02942
Alberto Nicolis
Jonghee Kang and Alberto Nicolis
Platonic solids back in the sky: Icosahedral inflation
20 pages
null
10.1088/1475-7516/2016/03/050
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We generalize the model of solid inflation to an anisotropic cosmic solid. Barring fine tunings, the observed isotropy of the cosmological background and of the scalar two-point function isolate the icosahedral group as the only possible symmetry group of such a solid. In such a case, higher-point correlation functio...
[ { "created": "Wed, 9 Sep 2015 20:31:36 GMT", "version": "v1" } ]
2016-04-13
[ [ "Kang", "Jonghee", "" ], [ "Nicolis", "Alberto", "" ] ]
We generalize the model of solid inflation to an anisotropic cosmic solid. Barring fine tunings, the observed isotropy of the cosmological background and of the scalar two-point function isolate the icosahedral group as the only possible symmetry group of such a solid. In such a case, higher-point correlation functions...
hep-th/9302129
Richard Szabo
Mikhail I. Dobroliubov, David Eliezer, Ian I. Kogan, Gordon W. Semenoff and Richard J. Szabo
The Spectrum of Topologically Massive Quantum Electrodynamics
14 pages, plain TeX; PUPT-1364, UBCTP 92-033
Mod.Phys.Lett. A8 (1993) 2177-2188
10.1142/S0217732393001902
null
hep-th
null
We discuss the possibility for the spectrum of topologically massive quantum electrodynamics with spinor matter fields to contain unexpected and unusual stable particle excitations for certain values of the topological photon mass. The new field theoretical phenomena arising from this novel spectral structure are bri...
[ { "created": "Fri, 26 Feb 1993 03:04:00 GMT", "version": "v1" } ]
2015-06-26
[ [ "Dobroliubov", "Mikhail I.", "" ], [ "Eliezer", "David", "" ], [ "Kogan", "Ian I.", "" ], [ "Semenoff", "Gordon W.", "" ], [ "Szabo", "Richard J.", "" ] ]
We discuss the possibility for the spectrum of topologically massive quantum electrodynamics with spinor matter fields to contain unexpected and unusual stable particle excitations for certain values of the topological photon mass. The new field theoretical phenomena arising from this novel spectral structure are brief...
1606.09616
Stephan Stieberger
Stephan Stieberger and Tomasz R. Taylor
New Relations for Einstein-Yang-Mills Amplitudes
15 pages, harvmac, 3 figures
null
10.1016/j.nuclphysb.2016.09.014
MPP-2016-140
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a gauge boson of a "spectator" group commuting with the group associated to origin...
[ { "created": "Thu, 30 Jun 2016 19:15:03 GMT", "version": "v1" } ]
2016-11-23
[ [ "Stieberger", "Stephan", "" ], [ "Taylor", "Tomasz R.", "" ] ]
We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a gauge boson of a "spectator" group commuting with the group associated to original...
hep-th/0207262
Peter Jarvis
J.G. Sumner and P.D. Jarvis (School of Mathematics and Physics, University of Tasmania)
Polar decomposition of a Dirac spinor
12 pages, LaTeX
null
null
UTAS-PHYS-02-02
hep-th
null
Local decompositions of a Dirac spinor into `charged' and `real' pieces psi(x) = M(x) chi(x) are considered. chi(x) is a Majorana spinor, and M(x) a suitable Dirac-algebra valued field. Specific examples of the decomposition in 2+1 dimensions are developed, along with kinematical implications, and constraints on the ...
[ { "created": "Tue, 30 Jul 2002 06:59:25 GMT", "version": "v1" } ]
2007-05-23
[ [ "Sumner", "J. G.", "", "School of Mathematics and Physics,\n University of Tasmania" ], [ "Jarvis", "P. D.", "", "School of Mathematics and Physics,\n University of Tasmania" ] ]
Local decompositions of a Dirac spinor into `charged' and `real' pieces psi(x) = M(x) chi(x) are considered. chi(x) is a Majorana spinor, and M(x) a suitable Dirac-algebra valued field. Specific examples of the decomposition in 2+1 dimensions are developed, along with kinematical implications, and constraints on the co...
1507.07585
Christopher Pope
M. Cvetic, G.W. Gibbons and C.N. Pope
Compactifications of Deformed Conifolds, Branes and the Geometry of Qubits
31 pages
null
10.1007/JHEP01(2016)135
UPR-1273-T, MI-TH-1526
hep-th gr-qc math.DG quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present three families of exact, cohomogeneity-one Einstein metrics in $(2n+2)$ dimensions, which are generalizations of the Stenzel construction of Ricci-flat metrics to those with a positive cosmological constant. The first family of solutions are Fubini-Study metrics on the complex projective spaces $CP^{n+1}$,...
[ { "created": "Mon, 27 Jul 2015 20:49:09 GMT", "version": "v1" } ]
2019-04-26
[ [ "Cvetic", "M.", "" ], [ "Gibbons", "G. W.", "" ], [ "Pope", "C. N.", "" ] ]
We present three families of exact, cohomogeneity-one Einstein metrics in $(2n+2)$ dimensions, which are generalizations of the Stenzel construction of Ricci-flat metrics to those with a positive cosmological constant. The first family of solutions are Fubini-Study metrics on the complex projective spaces $CP^{n+1}$, w...
1805.08613
Jos\'e Antonio Vallejo
M. L. Mendoza-Mart\'inez, J. A. Vallejo, W. A. Z\'u\~niga-Galindo
Acausal quantum theory for non-Archimedean scalar fields
Third version, with some typos corrected. Accepted for publication in Reviews in Mathematical Physics (2019). Includes referee's suggestions
Reviews in Mathematical Physics volume 31 number 4 (2019) 1950011
10.1142/S0129055X19500119
null
hep-th math-ph math.FA math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a family of quantum scalar fields over a $p-$adic spacetime which satisfy $p-$adic analogues of the G\aa rding--Wightman axioms. Most of the axioms can be formulated the same way in both, the Archimedean and non-Archimedean frameworks; however, the axioms depending on the ordering of the background field...
[ { "created": "Sat, 19 May 2018 10:33:27 GMT", "version": "v1" }, { "created": "Thu, 24 May 2018 06:58:30 GMT", "version": "v2" }, { "created": "Fri, 2 Nov 2018 23:13:12 GMT", "version": "v3" } ]
2019-04-24
[ [ "Mendoza-Martínez", "M. L.", "" ], [ "Vallejo", "J. A.", "" ], [ "Zúñiga-Galindo", "W. A.", "" ] ]
We construct a family of quantum scalar fields over a $p-$adic spacetime which satisfy $p-$adic analogues of the G\aa rding--Wightman axioms. Most of the axioms can be formulated the same way in both, the Archimedean and non-Archimedean frameworks; however, the axioms depending on the ordering of the background field m...
0909.4557
Nessi Benishti
Nessi Benishti, Yang-Hui He, James Sparks
(Un)Higgsing the M2-brane
68 pages, a plethora of figures; v2: minor changes, published version
JHEP01(2010)067
10.1007/JHEP01(2010)067
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study various aspects of N=2 quiver-Chern-Simons theories, conjectured to be dual to M2-branes at toric Calabi-Yau four-fold singularities, under Higgsing. In particular we study in detail the orbifold C^4/Z_2^3, obtaining a number of different quiver-Chern-Simons phases for this model, and all 18 toric partial re...
[ { "created": "Thu, 24 Sep 2009 21:23:59 GMT", "version": "v1" }, { "created": "Mon, 29 Mar 2010 13:18:02 GMT", "version": "v2" } ]
2015-05-14
[ [ "Benishti", "Nessi", "" ], [ "He", "Yang-Hui", "" ], [ "Sparks", "James", "" ] ]
We study various aspects of N=2 quiver-Chern-Simons theories, conjectured to be dual to M2-branes at toric Calabi-Yau four-fold singularities, under Higgsing. In particular we study in detail the orbifold C^4/Z_2^3, obtaining a number of different quiver-Chern-Simons phases for this model, and all 18 toric partial reso...
hep-th/0212153
Mar Bastero-Gil
L. Mersini and M. Bastero-Gil
Dark Energy May Probe String Theory
11 pages, 2 figures, proceedings of the conference Sakharov3, Moscow, Jun 2002
null
null
null
hep-th
null
The problem of dark energy arises due to its self-gravitating properties. Therefore explaining vacuum energy may become a question for the realm of quantum gravity, that can be addressed within string theory context. In this talk I concentrate on a recent, string-inspired model, that relies on nonlinear physics of sh...
[ { "created": "Fri, 13 Dec 2002 11:10:34 GMT", "version": "v1" } ]
2007-05-23
[ [ "Mersini", "L.", "" ], [ "Bastero-Gil", "M.", "" ] ]
The problem of dark energy arises due to its self-gravitating properties. Therefore explaining vacuum energy may become a question for the realm of quantum gravity, that can be addressed within string theory context. In this talk I concentrate on a recent, string-inspired model, that relies on nonlinear physics of shor...
1407.6007
Giulio Pasini
Stefano Massai, Giulio Pasini and Andrea Puhm
Metastability in Bubbling AdS Space
38 pages, 8 figures
JHEP 1502 (2015) 138
10.1007/JHEP02(2015)138
LMU-ASC 44/14, IPhT-T14/103
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the dynamics of probe M5 branes with dissolved M2 charge in bubbling geometries with SO(4) x SO(4) symmetry. These solutions were constructed by Bena-Warner and Lin-Lunin-Maldacena and correspond to the vacua of the maximally supersymmetric mass-deformed M2 brane theory. We find that supersymmetric probe M2 ...
[ { "created": "Tue, 22 Jul 2014 20:00:24 GMT", "version": "v1" } ]
2015-09-02
[ [ "Massai", "Stefano", "" ], [ "Pasini", "Giulio", "" ], [ "Puhm", "Andrea", "" ] ]
We study the dynamics of probe M5 branes with dissolved M2 charge in bubbling geometries with SO(4) x SO(4) symmetry. These solutions were constructed by Bena-Warner and Lin-Lunin-Maldacena and correspond to the vacua of the maximally supersymmetric mass-deformed M2 brane theory. We find that supersymmetric probe M2 br...
hep-th/0407018
Emil Akhmedov
Emil T.Akhmedov (ITEP, Moscow)
Expansion in Feynman Graphs as Simplicial String Theory
Latex, 11pp, Minor mintakes are corrected
JETP Lett.80:218-225,2004; Pisma Zh.Eksp.Teor.Fiz.80:247-254,2004
10.1134/1.1813675
ITEP-TH-21/04
hep-th gr-qc hep-ph
null
We show that the series expansion of quantum field theory in the Feynman diagrams can be explicitly mapped on the partition function of the simplicial string theory -- the theory describing embeddings of the two--dimensional simplicial complexes into the space--time of the field theory. The summation over two--dimens...
[ { "created": "Fri, 2 Jul 2004 18:05:24 GMT", "version": "v1" }, { "created": "Fri, 16 Jul 2004 07:39:55 GMT", "version": "v2" }, { "created": "Sun, 22 Aug 2004 08:17:19 GMT", "version": "v3" } ]
2009-02-06
[ [ "Akhmedov", "Emil T.", "", "ITEP, Moscow" ] ]
We show that the series expansion of quantum field theory in the Feynman diagrams can be explicitly mapped on the partition function of the simplicial string theory -- the theory describing embeddings of the two--dimensional simplicial complexes into the space--time of the field theory. The summation over two--dimensio...
1009.0491
Yu Nakayama
Yu Nakayama
Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem
13 pages, v2: reference added, v3 some clarification added
null
10.1140/epjc/s10052-012-1870-z
CALT 68-2803
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study higher derivative corrections in holographic dual of Zamolodchikov-Polchinski theorem that states the equivalence between scale invariance and conformal invariance in unitary d-dimensional Poincare invariant field theories. From the dual holographic perspective, we find that a sufficient condition to show th...
[ { "created": "Thu, 2 Sep 2010 18:00:18 GMT", "version": "v1" }, { "created": "Tue, 5 Oct 2010 21:40:00 GMT", "version": "v2" }, { "created": "Sat, 3 Dec 2011 09:03:25 GMT", "version": "v3" } ]
2015-05-19
[ [ "Nakayama", "Yu", "" ] ]
We study higher derivative corrections in holographic dual of Zamolodchikov-Polchinski theorem that states the equivalence between scale invariance and conformal invariance in unitary d-dimensional Poincare invariant field theories. From the dual holographic perspective, we find that a sufficient condition to show the ...
1709.03506
Matsuo Sato
Matsuo Sato
String Geometry and Non-perturbative Formulation of String Theory
92 pages, 5 figures, minor changes, references added
Int.J.Mod.Phys.A 34 (2019) 23, 1950126
10.1142/S0217751X19501264
null
hep-th hep-ph math.DG math.FA math.SG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces in a target manifold. Based on the string geometry, we define Einstein-Hilbert ...
[ { "created": "Mon, 11 Sep 2017 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 18 Sep 2017 13:15:09 GMT", "version": "v2" }, { "created": "Wed, 30 May 2018 11:40:05 GMT", "version": "v3" }, { "created": "Thu, 25 Oct 2018 01:56:33 GMT", "version": "v4" }, { "c...
2021-02-03
[ [ "Sato", "Matsuo", "" ] ]
We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces in a target manifold. Based on the string geometry, we define Einstein-Hilbert ac...
1211.7149
Ira Z. Rothstein
Ira Z. Rothstein
Gravitational Anderson Localization
To appear in Physical Review Letters
null
10.1103/PhysRevLett.110.011601
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dim...
[ { "created": "Fri, 30 Nov 2012 03:39:12 GMT", "version": "v1" } ]
2015-06-12
[ [ "Rothstein", "Ira Z.", "" ] ]
We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dimen...
hep-th/9802192
Juan Carlos Perez Bueno
J. A. de Azcarraga and J. C. Perez Bueno
On the general structure of gauged Wess-Zumino-Witten terms
Some changes. 23 pages; latex2e file. To appear in Nucl. Phys. B
Nucl.Phys. B534 (1998) 653-674
10.1016/S0550-3213(98)00587-2
FTUV/98-6, IFIC/98-6
hep-th math-ph math.DG math.MP
null
The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H\subset G if we may construct from the form a cocycle for the relative Lie algebra cohomology (or for the equivariant cohomology), and an explicit...
[ { "created": "Thu, 26 Feb 1998 17:34:51 GMT", "version": "v1" }, { "created": "Mon, 31 Aug 1998 16:14:49 GMT", "version": "v2" } ]
2009-10-31
[ [ "de Azcarraga", "J. A.", "" ], [ "Bueno", "J. C. Perez", "" ] ]
The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H\subset G if we may construct from the form a cocycle for the relative Lie algebra cohomology (or for the equivariant cohomology), and an explicit g...
hep-th/0207196
Etesi Gabor
Gabor Etesi (Renyi Institute, Hungary), Tamas Hausel (Univ. of California at Berkeley, USA)
On Yang--Mills instantons over multi-centered gravitational instantons
LaTeX, 15 pages, two incorporated figures; more references and journal reference added
Commun.Math.Phys. 235 (2003) 275-288
10.1007/s00220-003-0806-8
null
hep-th gr-qc math-ph math.DG math.MP
null
In this paper we explicitly calculate the analogue of the 't Hooft SU(2) Yang--Mills instantons on Gibbons--Hawking multi-centered gravitational instantons which come in two parallel families: the multi-Eguchi--Hanson, or A_k ALE gravitational instantons and the multi-Taub--NUT, or A_k ALF gravitational instantons. W...
[ { "created": "Mon, 22 Jul 2002 10:44:34 GMT", "version": "v1" }, { "created": "Wed, 26 Feb 2003 13:43:27 GMT", "version": "v2" } ]
2009-11-07
[ [ "Etesi", "Gabor", "", "Renyi Institute, Hungary" ], [ "Hausel", "Tamas", "", "Univ. of\n California at Berkeley, USA" ] ]
In this paper we explicitly calculate the analogue of the 't Hooft SU(2) Yang--Mills instantons on Gibbons--Hawking multi-centered gravitational instantons which come in two parallel families: the multi-Eguchi--Hanson, or A_k ALE gravitational instantons and the multi-Taub--NUT, or A_k ALF gravitational instantons. We ...
hep-th/0411219
Robert Delbourgo
R Delbourgo
Why three generations?
4 pages, Latex, to be published in proceedings of AIP Congress 2005. Requires packages: here, cire, fancyhdr, enumerate
null
null
null
hep-th
null
A brief review is given of particle physics, gauge fields and gravity, based on a scheme whereby five complex (Lorentz scalar) anticommuting coordinates are appended to four dimensional space-time; the resulting model is effectively zero-dimensional.
[ { "created": "Tue, 23 Nov 2004 22:46:45 GMT", "version": "v1" } ]
2007-05-23
[ [ "Delbourgo", "R", "" ] ]
A brief review is given of particle physics, gauge fields and gravity, based on a scheme whereby five complex (Lorentz scalar) anticommuting coordinates are appended to four dimensional space-time; the resulting model is effectively zero-dimensional.
hep-th/9608196
Olaf Lechtenfeld
Jan Bischoff and Olaf Lechtenfeld (Univ. of Hannover, Germany)
Restoring Reality for the Self-Dual N=2 String
13 pages + 1 figure, 44 kb, plain LaTeX
Phys.Lett. B390 (1997) 153-160
10.1016/S0370-2693(96)01365-2
DESY 96-177 and ITP-UH-19/96
hep-th
null
It is known that the critical N=(2,2) string describes 2+2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1,1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell ins...
[ { "created": "Thu, 29 Aug 1996 22:26:41 GMT", "version": "v1" } ]
2009-10-30
[ [ "Bischoff", "Jan", "", "Univ. of Hannover, Germany" ], [ "Lechtenfeld", "Olaf", "", "Univ. of Hannover, Germany" ] ]
It is known that the critical N=(2,2) string describes 2+2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1,1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell insta...
hep-th/9508084
null
C.R. Fernandez-Pousa and J.L. Miramontes
The Hamiltonian Structure of Soliton Equations and Deformed W-Algebras
41 pages, plain TeX, no figures. New introduction and references added. Version to be published in Annals of Physics (N.Y.)
Annals Phys. 253 (1997) 83-120
10.1006/aphy.1997.5621
US-FT/23-95, SWAT/95/83
hep-th nlin.SI solv-int
null
The Poisson bracket algebra corresponding to the second Hamiltonian structure of a large class of generalized KdV and mKdV integrable hierarchies is carefully analysed. These algebras are known to have conformal properties, and their relation to $\cal W$-algebras has been previously investigated in some particular ca...
[ { "created": "Thu, 17 Aug 1995 10:49:28 GMT", "version": "v1" }, { "created": "Fri, 18 Aug 1995 06:48:49 GMT", "version": "v2" }, { "created": "Fri, 30 Aug 1996 12:47:55 GMT", "version": "v3" } ]
2009-10-28
[ [ "Fernandez-Pousa", "C. R.", "" ], [ "Miramontes", "J. L.", "" ] ]
The Poisson bracket algebra corresponding to the second Hamiltonian structure of a large class of generalized KdV and mKdV integrable hierarchies is carefully analysed. These algebras are known to have conformal properties, and their relation to $\cal W$-algebras has been previously investigated in some particular case...
hep-th/9705042
Arno Bohm
Arno Bohm
Irreversible Quantum Mechanics in the Neutral K-System
36 pages, 1 PostScript figure included
Int.J.Theor.Phys. 36 (1997) 2239-2270
10.1007/BF02768924
null
hep-th quant-ph
null
The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in Rigged Hilbert space. This can be done for K_1 and K_2 as well ...
[ { "created": "Wed, 7 May 1997 15:03:36 GMT", "version": "v1" } ]
2009-10-30
[ [ "Bohm", "Arno", "" ] ]
The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in Rigged Hilbert space. This can be done for K_1 and K_2 as well as...
1511.04772
Mikhail Goykhman
Michael Geracie, Mikhail Goykhman and Dam T. Son
Dense Chern-Simons Matter with Fermions at Large N
null
null
10.1007/JHEP04(2016)103
null
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes ma...
[ { "created": "Sun, 15 Nov 2015 22:13:27 GMT", "version": "v1" } ]
2016-05-04
[ [ "Geracie", "Michael", "" ], [ "Goykhman", "Mikhail", "" ], [ "Son", "Dam T.", "" ] ]
In this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes matc...
0706.1338
Ming Yu
Ming Yu and Xin Zhang
Supersymmetric Hamiltonian Approach to Edge Excitations in $\nu = 5/2$ Fractional Quantum Hall Effect
22 pages, Corrected typos, discussions on the integrability, note added
Nucl.Phys.B798:323-339,2008
10.1016/j.nuclphysb.2007.10.030
null
hep-th cond-mat.mes-hall
null
A supersymmetric Hamiltonian is constructed for the edge excitations of the Moore-Read (Pfaffian) like state, which is a realization of the N=2 supersymmetric CS model. Fermionic generators and their conjugates are introduced to deal with the fermion pairing, whose condensation form a BCS like state. After Bogoliubov...
[ { "created": "Mon, 11 Jun 2007 06:57:36 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2007 18:16:24 GMT", "version": "v2" } ]
2008-11-26
[ [ "Yu", "Ming", "" ], [ "Zhang", "Xin", "" ] ]
A supersymmetric Hamiltonian is constructed for the edge excitations of the Moore-Read (Pfaffian) like state, which is a realization of the N=2 supersymmetric CS model. Fermionic generators and their conjugates are introduced to deal with the fermion pairing, whose condensation form a BCS like state. After Bogoliubov t...
hep-th/0208104
Eric R. Sharpe
Sheldon Katz, Eric Sharpe
D-branes, open string vertex operators, and Ext groups
48 pages, 1 figure, LaTeX; v2: material on Freed-Witten added; v3: ATMP submission, obsoleted by v2; v4 = v2
Adv.Theor.Math.Phys. 6 (2003) 979-1030
10.4310/ATMP.2002.v6.n6.a1
ILL-(TH)-02-06
hep-th
null
In this paper we explicitly work out the precise relationship between Ext groups and massless modes of D-branes wrapped on complex submanifolds of Calabi-Yau manifolds. Specifically, we explicitly compute the boundary vertex operators for massless Ramond sector states, in open string B models describing Calabi-Yau ma...
[ { "created": "Wed, 14 Aug 2002 19:33:10 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2003 16:05:02 GMT", "version": "v2" }, { "created": "Wed, 24 Dec 2003 13:22:21 GMT", "version": "v3" }, { "created": "Mon, 29 Dec 2003 19:12:08 GMT", "version": "v4" } ]
2016-10-04
[ [ "Katz", "Sheldon", "" ], [ "Sharpe", "Eric", "" ] ]
In this paper we explicitly work out the precise relationship between Ext groups and massless modes of D-branes wrapped on complex submanifolds of Calabi-Yau manifolds. Specifically, we explicitly compute the boundary vertex operators for massless Ramond sector states, in open string B models describing Calabi-Yau mani...
1412.7069
Maike Tormaehlen
Maike Torm\"ahlen
Yang-Mills Solutions and Dyons on Cylinders over Coset Spaces with Sasakian Structure
30 pages, 4 figures
Nuclear Physics B, Volume 902, January 2016, Pages 162-185
10.1016/j.nuclphysb.2015.11.013
ITP-UH-25/14
hep-th math-ph math.MP
http://creativecommons.org/licenses/by/4.0/
We present solutions of the Yang-Mills equation on cylinders $\mathbb R\times G/H$ over coset spaces with Sasakian structure and odd dimension $2m+1$. The gauge potential is assumed to be $SU(m)$-equivariant, parametrized by two real, scalar-valued functions. Yang-Mills theory with torsion in this setup reduces to th...
[ { "created": "Mon, 22 Dec 2014 17:43:28 GMT", "version": "v1" }, { "created": "Fri, 11 Dec 2015 17:26:08 GMT", "version": "v2" } ]
2015-12-14
[ [ "Tormählen", "Maike", "" ] ]
We present solutions of the Yang-Mills equation on cylinders $\mathbb R\times G/H$ over coset spaces with Sasakian structure and odd dimension $2m+1$. The gauge potential is assumed to be $SU(m)$-equivariant, parametrized by two real, scalar-valued functions. Yang-Mills theory with torsion in this setup reduces to the ...
hep-th/9605179
Marcelo Ubriaco
Marcelo R. Ubriaco
Thermodynamics of a free $SU_q(2)$ fermionic system
LaTeX file, 13 pages, three figures ,uses psfig.sty, packaged as a single tar.gz uuencoded file
null
10.1016/0375-9601(96)00446-X
null
hep-th
null
We calculate the partition function, average occupation number and internal energy for a $SU_q(2)$ fermionic system and compare this model at $T=0$ with the ordinary fermionic, $q=1$, case. At low temperatures and $q\gg 1$ we find the chemical potential $\mu$ to have the same temperature dependence than the Fermi cas...
[ { "created": "Thu, 23 May 1996 17:22:58 GMT", "version": "v1" } ]
2009-10-30
[ [ "Ubriaco", "Marcelo R.", "" ] ]
We calculate the partition function, average occupation number and internal energy for a $SU_q(2)$ fermionic system and compare this model at $T=0$ with the ordinary fermionic, $q=1$, case. At low temperatures and $q\gg 1$ we find the chemical potential $\mu$ to have the same temperature dependence than the Fermi case....
hep-th/0308058
Sakura Schafer-Nameki
Sakura Schafer-Nameki (DAMTP, Cambridge)
D-branes in N=2 coset models and twisted equivariant K-theory
21 pages, 1 figure; harvmac (b); ref and clarification added
null
null
null
hep-th math.AT
null
The charges of D-branes in Kazama-Suzuki coset models are analyzed. We provide the calculation of the corresponding twisted equivariant K-theory, and in the case of Grassmannian cosets, su(n+1)/u(n), compare this to the charge lattices that are derived from boundary conformal field theory.
[ { "created": "Fri, 8 Aug 2003 10:04:05 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 2003 10:55:33 GMT", "version": "v2" } ]
2007-05-23
[ [ "Schafer-Nameki", "Sakura", "", "DAMTP, Cambridge" ] ]
The charges of D-branes in Kazama-Suzuki coset models are analyzed. We provide the calculation of the corresponding twisted equivariant K-theory, and in the case of Grassmannian cosets, su(n+1)/u(n), compare this to the charge lattices that are derived from boundary conformal field theory.
1003.5601
Anuradha Misra
Swati M. Patel and Anuradha Misra
Equivalence of Covariant and Light Front QED: Generating Instantaneous Diagrams
18 pages and 7 figures
Phys.Rev.D82:125024,2010
10.1103/PhysRevD.82.125024
mu-hep1/2010
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
One loop expressions for fermion self energy,vacuum polarization and vertex correction in light front time ordered perturbation theory (LFTPOT) can be obtained from respective covariant expressions by performing k^- integration. In earlier work, we have shown that the third term in the doubly transverse gauge propaga...
[ { "created": "Mon, 29 Mar 2010 16:30:55 GMT", "version": "v1" }, { "created": "Wed, 21 Apr 2010 01:34:43 GMT", "version": "v2" } ]
2010-12-28
[ [ "Patel", "Swati M.", "" ], [ "Misra", "Anuradha", "" ] ]
One loop expressions for fermion self energy,vacuum polarization and vertex correction in light front time ordered perturbation theory (LFTPOT) can be obtained from respective covariant expressions by performing k^- integration. In earlier work, we have shown that the third term in the doubly transverse gauge propagato...
hep-th/0309153
Keiichi Nagao
Keiichi Nagao
Matrix Model and Ginsparg-Wilson Relation
Latex 3 pages, To appear in Nucl.Phys.Proc.Suppl. of Lattice2003(chiral), Tsukuba, Japan, Jul.15-19, 2003
Nucl.Phys. B Proc.Suppl. 129 (2004) 501-503
10.1016/S0920-5632(03)02622-7
KEK-TH-916
hep-th hep-lat
null
We discuss that the Ginsparg-Wilson relation, which has the key role in the recent development of constructing lattice chiral gauge theory, can play an important role to define chiral structures in finite matrix models and noncommutative geometries.
[ { "created": "Tue, 16 Sep 2003 05:10:09 GMT", "version": "v1" } ]
2009-11-10
[ [ "Nagao", "Keiichi", "" ] ]
We discuss that the Ginsparg-Wilson relation, which has the key role in the recent development of constructing lattice chiral gauge theory, can play an important role to define chiral structures in finite matrix models and noncommutative geometries.
2202.05261
Connor Behan
Connor Behan
Holographic S-fold theories at one loop
40+13 pages, 7 tables, PDF LaTeX, v2: New subsection, v3: Added references, v4: More discussion, v5: Corrections
SciPost Phys. 12, 149 (2022)
10.21468/SciPostPhys.12.5.149
null
hep-th
http://creativecommons.org/licenses/by/4.0/
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent a...
[ { "created": "Thu, 10 Feb 2022 18:59:53 GMT", "version": "v1" }, { "created": "Wed, 16 Mar 2022 01:36:15 GMT", "version": "v2" }, { "created": "Mon, 21 Mar 2022 00:30:34 GMT", "version": "v3" }, { "created": "Mon, 11 Apr 2022 14:06:39 GMT", "version": "v4" }, { "c...
2023-05-03
[ [ "Behan", "Connor", "" ] ]
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent add...
hep-th/0603073
Marijn Davidse
Marijn Davidse
Membrane and fivebrane instantons and quaternonic geometry
149 pages, 3 figures, 1 table, based on Ph.D. thesis
null
null
null
hep-th
null
We investigate membrane and fivebrane instanton effects in type IIA string theory compactified on rigid Calabi-Yau manifolds. These effects contribute to the low-energy effective action of the universal hypermultiplet, in four dimensional spacetime. To compute the nonperturbative effects due to the fivebrane instanto...
[ { "created": "Thu, 9 Mar 2006 15:04:26 GMT", "version": "v1" } ]
2007-05-23
[ [ "Davidse", "Marijn", "" ] ]
We investigate membrane and fivebrane instanton effects in type IIA string theory compactified on rigid Calabi-Yau manifolds. These effects contribute to the low-energy effective action of the universal hypermultiplet, in four dimensional spacetime. To compute the nonperturbative effects due to the fivebrane instanton ...
2307.08740
Christoph Uhlemann
Christoph F. Uhlemann, Mianqi Wang
Splitting interfaces in 4d $\mathcal N=4$ SYM
21 pages, 9 figures; v2: published version
null
10.1007/JHEP12(2023)053
UTWI-28-2023
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss entanglement entropies in 4d interface CFTs based on 4d $\mathcal N=4$ SYM coupled to 3d $\mathcal N=4$ degrees of freedom localized on an interface. Focusing on the entanglement between the two half spaces to either side of the interface, we show that applying the Ryu-Takayanagi prescription in general le...
[ { "created": "Mon, 17 Jul 2023 18:00:02 GMT", "version": "v1" }, { "created": "Sat, 16 Dec 2023 15:49:47 GMT", "version": "v2" } ]
2023-12-19
[ [ "Uhlemann", "Christoph F.", "" ], [ "Wang", "Mianqi", "" ] ]
We discuss entanglement entropies in 4d interface CFTs based on 4d $\mathcal N=4$ SYM coupled to 3d $\mathcal N=4$ degrees of freedom localized on an interface. Focusing on the entanglement between the two half spaces to either side of the interface, we show that applying the Ryu-Takayanagi prescription in general lead...
hep-th/0401048
Saulo Pereira H.
J. Frenkel and S. H. Pereira
Coordinate noncommutativity in strong non-uniform magnetic fields
4 pages
Phys.Rev. D69 (2004) 127702
10.1103/PhysRevD.69.127702
null
hep-th
null
Noncommuting spatial coordinates are studied in the context of a charged particle moving in a strong non-uniform magnetic field. We derive a relation involving the commutators of the coordinates, which generalizes the one realized in a strong constant magnetic field. As an application, we discuss the noncommutativity...
[ { "created": "Thu, 8 Jan 2004 15:03:21 GMT", "version": "v1" }, { "created": "Thu, 23 Sep 2004 13:09:11 GMT", "version": "v2" } ]
2009-11-10
[ [ "Frenkel", "J.", "" ], [ "Pereira", "S. H.", "" ] ]
Noncommuting spatial coordinates are studied in the context of a charged particle moving in a strong non-uniform magnetic field. We derive a relation involving the commutators of the coordinates, which generalizes the one realized in a strong constant magnetic field. As an application, we discuss the noncommutativity i...
hep-th/0308129
Volodymyr Gorkavenko
Yurii A. Sitenko and Volodymyr M. Gorkavenko
Fractional electric charge of a magnetic vortex at nonzero temperature
25 pages, 5 figures, journal version, minor changes, Eqs.(3.2)-(3.5) corrected
Nucl.Phys. B679 (2004) 597-620
10.1016/j.nuclphysb.2003.11.002
null
hep-th
null
An ideal gas of twodimensional Dirac fermions in the background of a pointlike magnetic vortex with arbitrary flux is considered. We find that this system acquires fractional electric charge at finite temperatures and determine the functional dependence of the thermal average and quadratic fluctuation of the charge o...
[ { "created": "Wed, 20 Aug 2003 09:54:42 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2003 17:19:54 GMT", "version": "v2" } ]
2009-11-10
[ [ "Sitenko", "Yurii A.", "" ], [ "Gorkavenko", "Volodymyr M.", "" ] ]
An ideal gas of twodimensional Dirac fermions in the background of a pointlike magnetic vortex with arbitrary flux is considered. We find that this system acquires fractional electric charge at finite temperatures and determine the functional dependence of the thermal average and quadratic fluctuation of the charge on ...
2311.13636
Rishi Mouland
Rishi Mouland
How to Build a Black Hole out of Instantons
37 pages, 3 figures. Minor clarifications, matches published version
JHEP 03 (2024) 002
10.1007/JHEP03(2024)002
null
hep-th
http://creativecommons.org/licenses/by/4.0/
An often fruitful route to study quantum gravity is the determination and study of quantum mechanical models--that is, models with finite degrees of freedom--that capture the dynamics of a black hole's microstates. An example of such a model is the superconformal quantum mechanics of Yang-Mills instantons, which has ...
[ { "created": "Wed, 22 Nov 2023 19:00:01 GMT", "version": "v1" }, { "created": "Tue, 12 Mar 2024 08:58:38 GMT", "version": "v2" } ]
2024-03-13
[ [ "Mouland", "Rishi", "" ] ]
An often fruitful route to study quantum gravity is the determination and study of quantum mechanical models--that is, models with finite degrees of freedom--that capture the dynamics of a black hole's microstates. An example of such a model is the superconformal quantum mechanics of Yang-Mills instantons, which has a ...
2306.07038
Tom Banks
T. Banks (NHETC and Dept. of Physics and Astronomy, Rutgers University)
Hilbert Bundles and Holographic Space-time Models
49 pages, 5 figures, LaTeX
null
null
RUNHETC-23-23
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
We reformulate Holographic Space-time (HST) Models as Hilbert bundles over the space of time-like geodesics on a background manifold. The background, following Jacobson, is viewed as a hydrodynamic flow, which the quantum model must reproduce. Work of many authors, but particularly the Verlindes, Carlip and Solodukhi...
[ { "created": "Mon, 12 Jun 2023 11:37:37 GMT", "version": "v1" } ]
2023-06-13
[ [ "Banks", "T.", "", "NHETC and Dept. of Physics and Astronomy, Rutgers\n University" ] ]
We reformulate Holographic Space-time (HST) Models as Hilbert bundles over the space of time-like geodesics on a background manifold. The background, following Jacobson, is viewed as a hydrodynamic flow, which the quantum model must reproduce. Work of many authors, but particularly the Verlindes, Carlip and Solodukhin,...
1810.05560
Lorenzo Menculini
Troels Harmark, Jelle Hartong, Lorenzo Menculini, Niels A. Obers, Ziqi Yan
Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
27 pages, LaTex. v2: Typos corrected, matches published version
JHEP 1811 (2018) 190
10.1007/JHEP11(2018)190
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry. For a flat target space, we show that the world-sheet theory becomes the Gomis-Ooguri act...
[ { "created": "Fri, 12 Oct 2018 14:54:06 GMT", "version": "v1" }, { "created": "Wed, 2 Jan 2019 19:00:36 GMT", "version": "v2" } ]
2019-01-04
[ [ "Harmark", "Troels", "" ], [ "Hartong", "Jelle", "" ], [ "Menculini", "Lorenzo", "" ], [ "Obers", "Niels A.", "" ], [ "Yan", "Ziqi", "" ] ]
We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry. For a flat target space, we show that the world-sheet theory becomes the Gomis-Ooguri actio...