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2403.14920
Ioana-Alexandra Coman
Miranda C. N. Cheng, Ioana Coman, Piotr Kucharski, Davide Passaro, Gabriele Sgroi
3d Modularity Revisited
59 pages, typos corrected
null
null
null
hep-th math-ph math.GT math.MP math.NT
http://creativecommons.org/licenses/by/4.0/
The three-manifold topological invariants $\hat Z$ capture the half-index of the three-dimensional theory with ${\cal N}=2$ supersymmetry obtained by compactifying the M5 brane theory on the closed three-manifold. In 2019, surprising general relations between the $\hat Z$-invariants, quantum modular forms, and vertex...
[ { "created": "Fri, 22 Mar 2024 02:46:51 GMT", "version": "v1" }, { "created": "Mon, 25 Mar 2024 15:50:50 GMT", "version": "v2" } ]
2024-03-26
[ [ "Cheng", "Miranda C. N.", "" ], [ "Coman", "Ioana", "" ], [ "Kucharski", "Piotr", "" ], [ "Passaro", "Davide", "" ], [ "Sgroi", "Gabriele", "" ] ]
The three-manifold topological invariants $\hat Z$ capture the half-index of the three-dimensional theory with ${\cal N}=2$ supersymmetry obtained by compactifying the M5 brane theory on the closed three-manifold. In 2019, surprising general relations between the $\hat Z$-invariants, quantum modular forms, and vertex a...
2208.01891
Yasuyuki Hatsuda
Yasuyuki Hatsuda, Kazumi Okuyama
Large $N$ expansion of an integrated correlator in $\mathcal{N}=4$ SYM
37 pages, v2: comments added
null
10.1007/JHEP11(2022)086
RUP-22-18
hep-th
http://creativecommons.org/licenses/by/4.0/
Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this work, we investigate its large $N$ limit in detail. We show that the formula of Dorigoni, Green and Wen can be reca...
[ { "created": "Wed, 3 Aug 2022 07:41:42 GMT", "version": "v1" }, { "created": "Tue, 23 Aug 2022 00:56:44 GMT", "version": "v2" } ]
2022-11-30
[ [ "Hatsuda", "Yasuyuki", "" ], [ "Okuyama", "Kazumi", "" ] ]
Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this work, we investigate its large $N$ limit in detail. We show that the formula of Dorigoni, Green and Wen can be recast...
1406.1468
Stefan Prohazka
Michael Gary, Daniel Grumiller, Stefan Prohazka and Soo-Jong Rey
Lifshitz Holography with Isotropic Scale Invariance
19 pp; v2: minor edits, new refs; v3: added footnote, minor rewordings, to appear in JHEP
JHEP 08 (2014) 001
10.1007/JHEP08(2014)001
TUW-14-01
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Is it possible for an anisotropic Lifshitz critical point to actually exhibit isotropic conformal invariance? We answer this question in the affirmative by constructing a concrete holographic realization. We study three-dimensional spin-3 higher-spin gauge theory with a z=2 Lifshitz ground state with non-trivial spin...
[ { "created": "Thu, 5 Jun 2014 18:35:21 GMT", "version": "v1" }, { "created": "Wed, 18 Jun 2014 16:04:48 GMT", "version": "v2" }, { "created": "Wed, 16 Jul 2014 10:50:48 GMT", "version": "v3" } ]
2014-08-12
[ [ "Gary", "Michael", "" ], [ "Grumiller", "Daniel", "" ], [ "Prohazka", "Stefan", "" ], [ "Rey", "Soo-Jong", "" ] ]
Is it possible for an anisotropic Lifshitz critical point to actually exhibit isotropic conformal invariance? We answer this question in the affirmative by constructing a concrete holographic realization. We study three-dimensional spin-3 higher-spin gauge theory with a z=2 Lifshitz ground state with non-trivial spin-3...
1511.03549
Isabel Koltermann
Isabel Koltermann, Michael Blaszczyk, Gabriele Honecker
Deforming D-brane models on $T^6/(\mathbb{Z}_2 \times \mathbb{Z}_{2M})$ orbifolds
2 pages, contribution to the proceedings of "The String Theory Universe" workshop in Leuven, 7-11 Sept 2015
null
10.1002/prop.201500073
MITP/15-093
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review the stabilisation of complex structure moduli in Type IIA orientifolds, especially on $T^6 / (\mathbb{Z}_2 \times \mathbb{Z}_6^\prime \times \Omega \mathcal{R})$ with discrete torsion, via deformations of $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifold singularities. While D6-branes in SO(2N) and USp(2N) models...
[ { "created": "Wed, 11 Nov 2015 16:03:43 GMT", "version": "v1" } ]
2016-03-15
[ [ "Koltermann", "Isabel", "" ], [ "Blaszczyk", "Michael", "" ], [ "Honecker", "Gabriele", "" ] ]
We review the stabilisation of complex structure moduli in Type IIA orientifolds, especially on $T^6 / (\mathbb{Z}_2 \times \mathbb{Z}_6^\prime \times \Omega \mathcal{R})$ with discrete torsion, via deformations of $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifold singularities. While D6-branes in SO(2N) and USp(2N) models a...
2109.09243
Zhuo-Yu Xian
Yi Ling, Peng Liu, Yuxuan Liu, Chao Niu, Zhuo-Yu Xian, and Cheng-Yong Zhang
Reflected Entropy in Double Holography
25 pages, 9 figures, minor correction, published version
J. High Energ. Phys. 2022, 37 (2022)
10.1007/JHEP02(2022)037
null
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge. In this paper, we study the reflected entropy in the doubly holographic setup...
[ { "created": "Sun, 19 Sep 2021 22:37:11 GMT", "version": "v1" }, { "created": "Fri, 22 Oct 2021 14:58:38 GMT", "version": "v2" }, { "created": "Sun, 6 Feb 2022 21:18:40 GMT", "version": "v3" } ]
2022-02-08
[ [ "Ling", "Yi", "" ], [ "Liu", "Peng", "" ], [ "Liu", "Yuxuan", "" ], [ "Niu", "Chao", "" ], [ "Xian", "Zhuo-Yu", "" ], [ "Zhang", "Cheng-Yong", "" ] ]
Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge. In this paper, we study the reflected entropy in the doubly holographic setup, ...
0910.2274
Tirthabir Biswas
Tirthabir Biswas, Jose A. R. Cembranos and Joseph I. Kapusta
Thermal Duality and Hagedorn Transition from p-adic Strings
4 pages and 4 figures
Phys.Rev.Lett.104:021601,2010
10.1103/PhysRevLett.104.021601
FTPI-MINN-09/37; UMN-TH-2819/09
hep-th astro-ph.CO hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop the finite temperature theory of p-adic string models. We find that the thermal properties of these non-local field theories can be interpreted either as contributions of standard thermal modes with energies proportional to the temperature, or inverse thermal modes with energies proportional to the inverse...
[ { "created": "Tue, 13 Oct 2009 19:39:00 GMT", "version": "v1" } ]
2010-08-10
[ [ "Biswas", "Tirthabir", "" ], [ "Cembranos", "Jose A. R.", "" ], [ "Kapusta", "Joseph I.", "" ] ]
We develop the finite temperature theory of p-adic string models. We find that the thermal properties of these non-local field theories can be interpreted either as contributions of standard thermal modes with energies proportional to the temperature, or inverse thermal modes with energies proportional to the inverse o...
2210.00492
Vlad-Mihai Mandric
Vlad-Mihai Mandric and Tim R. Morris
Properties of a proposed background independent exact renormalization group
51 pages, no figures. Minor corrections. Version published in PRD
null
10.1103/PhysRevD.107.065012
null
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
We explore the properties of a recently proposed background independent exact renormalization group approach to gauge theories and gravity. In the process we also develop the machinery needed to study it rigorously. The proposal comes with some advantages. It preserves gauge invariance manifestly, avoids introducing ...
[ { "created": "Sun, 2 Oct 2022 11:42:11 GMT", "version": "v1" }, { "created": "Thu, 3 Nov 2022 14:52:52 GMT", "version": "v2" }, { "created": "Wed, 22 Mar 2023 16:54:01 GMT", "version": "v3" } ]
2023-03-23
[ [ "Mandric", "Vlad-Mihai", "" ], [ "Morris", "Tim R.", "" ] ]
We explore the properties of a recently proposed background independent exact renormalization group approach to gauge theories and gravity. In the process we also develop the machinery needed to study it rigorously. The proposal comes with some advantages. It preserves gauge invariance manifestly, avoids introducing un...
2110.09790
Pavel Putrov
Atish Dabholkar, Pavel Putrov
Three Avatars of Mock Modularity
36 pages. Lectures delivered at 2020 ICTP Online Summer School on String Theory and Related Topics. Based on arXiv:1208.4074, arXiv:1905.05207, arXiv:2004.14387
null
10.1142/S0217751X21300209
null
hep-th math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Mock theta functions were introduced by Ramanujan in 1920 but a proper understanding of mock modularity has emerged only recently with the work of Zwegers in 2002. In these lectures we describe three manifestations of this apparently exotic mathematics in three important physical contexts of holography, topology and ...
[ { "created": "Tue, 19 Oct 2021 08:05:48 GMT", "version": "v1" } ]
2022-02-02
[ [ "Dabholkar", "Atish", "" ], [ "Putrov", "Pavel", "" ] ]
Mock theta functions were introduced by Ramanujan in 1920 but a proper understanding of mock modularity has emerged only recently with the work of Zwegers in 2002. In these lectures we describe three manifestations of this apparently exotic mathematics in three important physical contexts of holography, topology and du...
hep-th/0111213
Miloslav Znojil
Miloslav Znojil and Geza Levai
Spontaneous breakdown of PT symmetry in the solvable square-well model
12 pages, to appear in Mod. Phys. Lett. A
Mod.Phys.Lett.A16:2273-2280,2001
10.1142/S0217732301005722
null
hep-th
null
In many PT symmetric models with real spectra, apparently, energy levels "merge and disappear" at a point of the spontaneous PT-symmetry breaking. We argue that such an oversimplified and discontinuous physical interpretation of this mechanism as proposed, e.g., by one of us in Phys. Lett. A 285 (2001), p. 7 would be...
[ { "created": "Fri, 23 Nov 2001 08:11:01 GMT", "version": "v1" } ]
2014-11-18
[ [ "Znojil", "Miloslav", "" ], [ "Levai", "Geza", "" ] ]
In many PT symmetric models with real spectra, apparently, energy levels "merge and disappear" at a point of the spontaneous PT-symmetry breaking. We argue that such an oversimplified and discontinuous physical interpretation of this mechanism as proposed, e.g., by one of us in Phys. Lett. A 285 (2001), p. 7 would be i...
1907.12705
Howard Georgi
Howard Georgi, Brian Warner
Generalizations of the Sommerfield and Schwinger models
14 pages, 1 figure - new references and an expanded discussion added in revised version
null
10.1007/JHEP01(2020)047
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The "physics" of the model comprises a massive boson and an unparticle sector that survives at low energy as a conformal field theory (Thirring model). We analyze gener...
[ { "created": "Tue, 30 Jul 2019 02:25:13 GMT", "version": "v1" }, { "created": "Sat, 19 Oct 2019 00:41:48 GMT", "version": "v2" } ]
2020-01-29
[ [ "Georgi", "Howard", "" ], [ "Warner", "Brian", "" ] ]
The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The "physics" of the model comprises a massive boson and an unparticle sector that survives at low energy as a conformal field theory (Thirring model). We analyze general...
1803.05809
Giulio Salvatori
Giulio Salvatori, Sergio Cacciatori
Hyperbolic Geometry and Amplituhedra in 1+2 dimensions
28 pages, 15 figures
null
10.1007/JHEP08(2018)167
null
hep-th math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkhani-Hamed et al. We argue that hyperbolic geometry constitutes a natural framework to address the study of positive geometries in moduli spaces of Riemann surfaces, and thus to try to ext...
[ { "created": "Thu, 15 Mar 2018 15:31:46 GMT", "version": "v1" } ]
2018-09-26
[ [ "Salvatori", "Giulio", "" ], [ "Cacciatori", "Sergio", "" ] ]
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkhani-Hamed et al. We argue that hyperbolic geometry constitutes a natural framework to address the study of positive geometries in moduli spaces of Riemann surfaces, and thus to try to exten...
0908.0633
Christoph Bergbauer
Christoph Bergbauer, Romeo Brunetti and Dirk Kreimer
Renormalization and resolution of singularities
59p, paper completed. Several minor corrections and technical modifications in sections 2-6, section 7 completed
null
null
null
hep-th math-ph math.AG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Since the seminal work of Epstein and Glaser it is well established that perturbative renormalization of ultraviolet divergences in position space amounts to extension of distributions onto diagonals. For a general Feynman graph the relevant diagonals form a nontrivial arrangement of linear subspaces. One may therefo...
[ { "created": "Wed, 5 Aug 2009 10:04:34 GMT", "version": "v1" }, { "created": "Mon, 19 Apr 2010 06:30:11 GMT", "version": "v2" } ]
2010-04-20
[ [ "Bergbauer", "Christoph", "" ], [ "Brunetti", "Romeo", "" ], [ "Kreimer", "Dirk", "" ] ]
Since the seminal work of Epstein and Glaser it is well established that perturbative renormalization of ultraviolet divergences in position space amounts to extension of distributions onto diagonals. For a general Feynman graph the relevant diagonals form a nontrivial arrangement of linear subspaces. One may therefore...
1701.00453
Paul Heslop
Burkhard Eden, Paul Heslop, Lionel Mason
The Correlahedron
38 pages. minor corrections
null
10.1007/JHEP09(2017)156
DCPT-16/59
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a new geometric object, the correlahedron, which we conjecture to be equivalent to stress-energy correlators in planar N=4 super Yang-Mills. Re-expressing the Grassmann dependence of correlation functions of n chiral stress-energy multiplets with Grassmann degree 4k in terms of 4(n+k)-linear bosonic vari...
[ { "created": "Mon, 2 Jan 2017 17:10:58 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2017 14:06:23 GMT", "version": "v2" }, { "created": "Thu, 7 Sep 2017 11:42:55 GMT", "version": "v3" } ]
2017-10-25
[ [ "Eden", "Burkhard", "" ], [ "Heslop", "Paul", "" ], [ "Mason", "Lionel", "" ] ]
We introduce a new geometric object, the correlahedron, which we conjecture to be equivalent to stress-energy correlators in planar N=4 super Yang-Mills. Re-expressing the Grassmann dependence of correlation functions of n chiral stress-energy multiplets with Grassmann degree 4k in terms of 4(n+k)-linear bosonic variab...
2103.09312
Simeon Hellerman
Simeon Hellerman
On the exponentially small corrections to ${\cal N} = 2$ superconformal correlators at large R-charge
87 pages, 4 figures, 2 photographs
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this note we consider Coulomb-branch chiral primary correlation functions in ${\cal N} = 2$ superconformal QCD with gauge group $SU(2)$, in the limit of large R-charge ${\cal J} = 2n$ for the chiral primary operators $[{\cal O}(x)]^ n$ with the inverse gauge coupling $\tau$ held fixed. In previous work, these corr...
[ { "created": "Tue, 16 Mar 2021 20:43:55 GMT", "version": "v1" }, { "created": "Sun, 21 Mar 2021 17:34:44 GMT", "version": "v2" } ]
2021-03-23
[ [ "Hellerman", "Simeon", "" ] ]
In this note we consider Coulomb-branch chiral primary correlation functions in ${\cal N} = 2$ superconformal QCD with gauge group $SU(2)$, in the limit of large R-charge ${\cal J} = 2n$ for the chiral primary operators $[{\cal O}(x)]^ n$ with the inverse gauge coupling $\tau$ held fixed. In previous work, these correl...
1408.5118
Fabiola Arevalo
Fabiola Arevalo, Paulo Cifuentes and Francisco Pena
Thermodynamics of interacting holographic dark energy
17 pages, 2 figures, updated references. Published in Astrophysics and Space Science
null
10.1007/s10509-015-2634-7
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The thermodynamics of a scheme of dark matter-dark energy interaction is studied considering a holographic model for the dark energy in a flat Friedmann-Lemaitre-Robertson- Walker background. We obtain a total entropy rate for a general horizon and we study the Generalized Second Law of Thermodynamics for a cosmologi...
[ { "created": "Thu, 21 Aug 2014 19:37:06 GMT", "version": "v1" }, { "created": "Thu, 31 Dec 2015 22:27:56 GMT", "version": "v2" } ]
2016-01-05
[ [ "Arevalo", "Fabiola", "" ], [ "Cifuentes", "Paulo", "" ], [ "Pena", "Francisco", "" ] ]
The thermodynamics of a scheme of dark matter-dark energy interaction is studied considering a holographic model for the dark energy in a flat Friedmann-Lemaitre-Robertson- Walker background. We obtain a total entropy rate for a general horizon and we study the Generalized Second Law of Thermodynamics for a cosmologica...
1306.0002
Murad Alim
Murad Alim, Emanuel Scheidegger, Shing-Tung Yau, Jie Zhou
Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings
55 pages, 4 figures
Adv. Theor. Math. Phys. 18 (2014), no. 2, 401-467
null
null
hep-th math.AG math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the differential polynomial rings which are defined using the special geometry of the moduli spaces of Calabi-Yau threefolds. The higher genus topological string amplitudes are expressed as polynomials in the generators of these rings, giving them a global description in the moduli space. At particular loci,...
[ { "created": "Fri, 31 May 2013 20:00:00 GMT", "version": "v1" } ]
2021-09-21
[ [ "Alim", "Murad", "" ], [ "Scheidegger", "Emanuel", "" ], [ "Yau", "Shing-Tung", "" ], [ "Zhou", "Jie", "" ] ]
We study the differential polynomial rings which are defined using the special geometry of the moduli spaces of Calabi-Yau threefolds. The higher genus topological string amplitudes are expressed as polynomials in the generators of these rings, giving them a global description in the moduli space. At particular loci, t...
1908.07970
Zhong-Ying Fan
Hyat Huang, Zhong-Ying Fan and H. L\"u
Static and Dynamic Charged Black Holes
26pages, 2figures
null
10.1140/epjc/s10052-019-7477-x
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then derive the necessary scalar potential and the non-minimal coupling function betw...
[ { "created": "Wed, 21 Aug 2019 16:22:17 GMT", "version": "v1" } ]
2020-01-08
[ [ "Huang", "Hyat", "" ], [ "Fan", "Zhong-Ying", "" ], [ "Lü", "H.", "" ] ]
We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then derive the necessary scalar potential and the non-minimal coupling function betwee...
hep-th/9405104
Vincent Pasquier
V. Pasquier
A lecture on the Calogero-Sutherland models
(2 references added, small modifications)
null
10.1007/3-540-58453-6_3
null
hep-th
null
In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monod...
[ { "created": "Tue, 17 May 1994 08:20:53 GMT", "version": "v1" }, { "created": "Thu, 19 May 1994 08:43:35 GMT", "version": "v2" }, { "created": "Tue, 24 May 1994 12:58:15 GMT", "version": "v3" } ]
2009-10-28
[ [ "Pasquier", "V.", "" ] ]
In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monodro...
hep-th/9906007
Peter Forgacs
Janos Balog and Peter Forgacs
Thermodynamical Bethe Ansatz analysis in an SU(2)xU(1) symmetric sigma-model
31 pages, Latex, minor changes, references added
Nucl.Phys. B570 (2000) 655-684
10.1016/S0550-3213(99)00754-3
null
hep-th
null
Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral sigma-model (with SU(2)xU(1) symmetry). The model exhibits both `fermionic' and `bosonic' type free ...
[ { "created": "Tue, 1 Jun 1999 15:12:44 GMT", "version": "v1" }, { "created": "Wed, 29 Dec 1999 17:29:50 GMT", "version": "v2" } ]
2009-10-31
[ [ "Balog", "Janos", "" ], [ "Forgacs", "Peter", "" ] ]
Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral sigma-model (with SU(2)xU(1) symmetry). The model exhibits both `fermionic' and `bosonic' type free en...
hep-th/9905123
Stefano De Leo
S. De Leo and K. Abdel-Khalek (Dpt Fisica,INFN,Lecce and IMECC-UNICAMP)
Towards an octonionic world
29 pages, RevTex
Int.J.Theor.Phys. 37 (1998) 1945
null
IMECC RP83/97
hep-th
null
In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules between octonionic numbers and $8\times 8$ real matrices (a translation is also given for $4\times 4$ complex matrices). The use of a comp...
[ { "created": "Mon, 17 May 1999 22:12:25 GMT", "version": "v1" } ]
2016-09-06
[ [ "De Leo", "S.", "", "Dpt Fisica,INFN,Lecce and\n IMECC-UNICAMP" ], [ "Abdel-Khalek", "K.", "", "Dpt Fisica,INFN,Lecce and\n IMECC-UNICAMP" ] ]
In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules between octonionic numbers and $8\times 8$ real matrices (a translation is also given for $4\times 4$ complex matrices). The use of a comple...
0808.1720
Henriette Elvang
Henriette Elvang, Daniel Z. Freedman, Michael Kiermaier
Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory
42pp, 7 figures; v2: completion of 4-loop spin sum, typos corrected, new figure added
JHEP 0904:009,2009
10.1088/1126-6708/2009/04/009
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that the MHV vertex expansion is valid for any NMHV tree amplitude of N=4 SYM. The proof uses induction to show that there always exists a complex deformation of three external momenta such that the amplitude falls off at least as fast as 1/z for large z. This validates the generating function for n-point NM...
[ { "created": "Tue, 12 Aug 2008 19:42:15 GMT", "version": "v1" }, { "created": "Sat, 20 Dec 2008 10:53:56 GMT", "version": "v2" } ]
2009-04-17
[ [ "Elvang", "Henriette", "" ], [ "Freedman", "Daniel Z.", "" ], [ "Kiermaier", "Michael", "" ] ]
We prove that the MHV vertex expansion is valid for any NMHV tree amplitude of N=4 SYM. The proof uses induction to show that there always exists a complex deformation of three external momenta such that the amplitude falls off at least as fast as 1/z for large z. This validates the generating function for n-point NMHV...
hep-th/0608107
Ali Alavi
S. A. Alavi
Hyperfine splitting in noncommutative spaces
No figures
Phys. Scr. 78 (2008) 015005
10.1088/0031-8949/78/01/015005
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the hyperfine splitting in the framework of the noncommutative quantum mechanics (NCQM) developed in the literature. The results show deviations from the usual quantum mechanics. We show that the energy difference between two excited F = I + 1/2 and the ground F = I - 1/2 states in a noncommutative space (NC...
[ { "created": "Wed, 16 Aug 2006 09:29:31 GMT", "version": "v1" }, { "created": "Sat, 28 Jun 2008 15:17:10 GMT", "version": "v2" } ]
2015-06-26
[ [ "Alavi", "S. A.", "" ] ]
We study the hyperfine splitting in the framework of the noncommutative quantum mechanics (NCQM) developed in the literature. The results show deviations from the usual quantum mechanics. We show that the energy difference between two excited F = I + 1/2 and the ground F = I - 1/2 states in a noncommutative space (NCS)...
0811.1358
Georgii Alekseev
G.A. Alekseev
Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations in the low energy heterotic string effective theory
4 pages; added new section on Belinski-Zakharov solitons and new expressions for calculation of the conformal factor; corrected typos
Phys.Rev.D80:041901,2009
10.1103/PhysRevD.80.041901
null
hep-th gr-qc nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of $D$ dimensions ($D\ge 4$) the dynamics of interacting gravitational, dilaton, antisymmetric tensor and any number $n\...
[ { "created": "Sun, 9 Nov 2008 18:25:30 GMT", "version": "v1" }, { "created": "Fri, 28 Aug 2009 21:53:57 GMT", "version": "v2" } ]
2009-09-02
[ [ "Alekseev", "G. A.", "" ] ]
Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of $D$ dimensions ($D\ge 4$) the dynamics of interacting gravitational, dilaton, antisymmetric tensor and any number $n\ge...
2406.19743
Sebbe Stouten
David Dudal, Aaron Gobeyn, Thomas Oosthuyse, Sebbe Stouten, David Vercauteren
The Casimir energy with perfect electromagnetic boundary conditions and duality: a field-theoretic approach
14 pages, 1 figure
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary conditions, we add two Lagrange multiplier fields to the action. We subsequently...
[ { "created": "Fri, 28 Jun 2024 08:31:33 GMT", "version": "v1" } ]
2024-07-01
[ [ "Dudal", "David", "" ], [ "Gobeyn", "Aaron", "" ], [ "Oosthuyse", "Thomas", "" ], [ "Stouten", "Sebbe", "" ], [ "Vercauteren", "David", "" ] ]
Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary conditions, we add two Lagrange multiplier fields to the action. We subsequently r...
hep-th/0504203
Ian J. Swanson
Tristan McLoughlin, Ian Swanson
Open string integrability and AdS/CFT
v2: minor clarifications, typos corrected, references added; v3: references added; LaTeX, 32 pages, 4 figures
Nucl.Phys.B723:132-162,2005
10.1016/j.nuclphysb.2005.06.014
CALT-68-2546
hep-th
null
We present a set of long-range Bethe ansatz equations for open quantum strings on AdS_5 x S^5 and demonstrate that they diagonalize bosonic su(2) and sl(2) sectors of the theory in the near-pp-wave limit. Results are compared with energy spectra obtained by direct quantization of the open string theory, and we find a...
[ { "created": "Mon, 25 Apr 2005 18:25:20 GMT", "version": "v1" }, { "created": "Mon, 2 May 2005 17:52:27 GMT", "version": "v2" }, { "created": "Mon, 16 May 2005 17:39:16 GMT", "version": "v3" } ]
2008-11-26
[ [ "McLoughlin", "Tristan", "" ], [ "Swanson", "Ian", "" ] ]
We present a set of long-range Bethe ansatz equations for open quantum strings on AdS_5 x S^5 and demonstrate that they diagonalize bosonic su(2) and sl(2) sectors of the theory in the near-pp-wave limit. Results are compared with energy spectra obtained by direct quantization of the open string theory, and we find agr...
hep-th/0512142
David McMullan
Arsen Khvedelidze, Alex Kovner and David McMullan
Magnetic monopoles in 4D: a perturbative calculation
16 pages, 1 figure
JHEP 0601:145,2006
10.1088/1126-6708/2006/01/145
null
hep-th hep-lat hep-ph
null
We address the question of defining the second quantised monopole creation operator in the 3+1 dimensional Georgi-Glashow model, and calculating its expectation value in the confining phase. Our calculation is performed directly in the continuum theory within the framework of perturbation theory. We find that, althou...
[ { "created": "Tue, 13 Dec 2005 14:04:10 GMT", "version": "v1" } ]
2011-07-19
[ [ "Khvedelidze", "Arsen", "" ], [ "Kovner", "Alex", "" ], [ "McMullan", "David", "" ] ]
We address the question of defining the second quantised monopole creation operator in the 3+1 dimensional Georgi-Glashow model, and calculating its expectation value in the confining phase. Our calculation is performed directly in the continuum theory within the framework of perturbation theory. We find that, although...
0809.2014
Sven Bjarke Gudnason
Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Muneto Nitta, Keisuke Ohashi
SO and USp Kahler and Hyper-Kahler Quotients and Lumps
54 pages, 0 figures; v2: comments and references added
Nucl.Phys.B815:495-538,2009
10.1016/j.nuclphysb.2009.01.019
DAMTP-2008-82; IFUP-TH/2008-22; TIT/HEP 589
hep-th math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study non-linear sigma models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kahler and hyper-Kahler quotient constructions. We obtain the explicit Kahler potentials and develop an expansion formula to make use of the obtained potentials from which we also calcula...
[ { "created": "Thu, 11 Sep 2008 15:10:15 GMT", "version": "v1" }, { "created": "Thu, 19 Mar 2009 14:38:44 GMT", "version": "v2" } ]
2010-03-01
[ [ "Eto", "Minoru", "" ], [ "Fujimori", "Toshiaki", "" ], [ "Gudnason", "Sven Bjarke", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ] ]
We study non-linear sigma models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kahler and hyper-Kahler quotient constructions. We obtain the explicit Kahler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate...
1707.07572
Chris Blair
Chris D. A. Blair
Particle actions and brane tensions from double and exceptional geometry
36 pages plus appendices, v2: typos, minor clarifications etc, v3: ditto, v4: corrected accidental use of D instead of n in the definitions of the generalised fluxes
JHEP 1710 (2017) 004
10.1007/JHEP10(2017)004
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Massless particles in $n+1$ dimensions lead to massive particles in $n$ dimensions on Kaluza-Klein reduction. In string theory, wrapped branes lead to multiplets of massive particles in $n$ dimensions, in representations of a duality group $G$. By encoding the masses of these particles in auxiliary worldline scalars,...
[ { "created": "Mon, 24 Jul 2017 14:26:37 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2017 13:47:23 GMT", "version": "v2" }, { "created": "Mon, 30 Oct 2017 14:38:53 GMT", "version": "v3" }, { "created": "Thu, 1 Aug 2019 10:22:13 GMT", "version": "v4" } ]
2019-08-02
[ [ "Blair", "Chris D. A.", "" ] ]
Massless particles in $n+1$ dimensions lead to massive particles in $n$ dimensions on Kaluza-Klein reduction. In string theory, wrapped branes lead to multiplets of massive particles in $n$ dimensions, in representations of a duality group $G$. By encoding the masses of these particles in auxiliary worldline scalars, a...
1212.2966
Masaki Shigemori
Hidetoshi Awata, Shinji Hirano and Masaki Shigemori
The Partition Function of ABJ Theory
49 pages (20 pages + 5 appendices), 7 figures. v2: ref added, minor correction
Prog. Theor. Exp. Phys. (2013) 053B04
10.1093/ptep/ptt014
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the partition function of the N=6 supersymmetric U(N_1)_k x U(N_2)_{-k} Chern-Simons-matter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N_1) x U(N_2) lens space matrix model exactly. The result can be expressed as a product of q-deformed Barn...
[ { "created": "Wed, 12 Dec 2012 21:00:00 GMT", "version": "v1" }, { "created": "Thu, 10 Jan 2013 15:11:51 GMT", "version": "v2" } ]
2013-05-06
[ [ "Awata", "Hidetoshi", "" ], [ "Hirano", "Shinji", "" ], [ "Shigemori", "Masaki", "" ] ]
We study the partition function of the N=6 supersymmetric U(N_1)_k x U(N_2)_{-k} Chern-Simons-matter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N_1) x U(N_2) lens space matrix model exactly. The result can be expressed as a product of q-deformed Barnes...
2005.08990
Sabrina Pasterski
Laura Donnay, Sabrina Pasterski and Andrea Puhm
Asymptotic Symmetries and Celestial CFT
29 pages + appendices, 3 figures
null
10.1007/JHEP09(2020)176
CPHT-RR022.042020
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal ...
[ { "created": "Mon, 18 May 2020 18:00:06 GMT", "version": "v1" } ]
2020-10-28
[ [ "Donnay", "Laura", "" ], [ "Pasterski", "Sabrina", "" ], [ "Puhm", "Andrea", "" ] ]
We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal ba...
hep-th/0005160
Boris Pioline
A. Hanany (MIT) and B. Pioline (Harvard and LPTHE)
(Anti-)Instantons and the Atiyah-Hitchin Manifold
22 pages, 5 figures
JHEP 0007:001,2000
10.1088/1126-6708/2000/07/001
HUTP-00/A15, MIT-CTP-2983
hep-th
null
The Atiyah-Hitchin manifold arises in many different contexts, ranging from its original occurrence as the moduli space of two SU(2) 't Hooft-Polyakov monopoles in 3+1 dimensions, to supersymmetric backgrounds of string theory. In all these settings, (super)symmetries require the metric to be hyperk\"ahler and have a...
[ { "created": "Wed, 17 May 2000 18:41:48 GMT", "version": "v1" } ]
2014-11-18
[ [ "Hanany", "A.", "", "MIT" ], [ "Pioline", "B.", "", "Harvard and LPTHE" ] ]
The Atiyah-Hitchin manifold arises in many different contexts, ranging from its original occurrence as the moduli space of two SU(2) 't Hooft-Polyakov monopoles in 3+1 dimensions, to supersymmetric backgrounds of string theory. In all these settings, (super)symmetries require the metric to be hyperk\"ahler and have an ...
2211.03823
Mehmet Demirtas
Mehmet Demirtas, Andres Rios-Tascon, Liam McAllister
CYTools: A Software Package for Analyzing Calabi-Yau Manifolds
v1: 42 pages, 2 figures. Software package available at https://cy.tools
null
null
null
hep-th math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a user's guide to version 1.0 of the software package CYTools, which we designed to compute the topological data of Calabi-Yau hypersurfaces in toric varieties. CYTools has strong capabilities in analyzing and triangulating polytopes, and can easily handle even the largest polytopes in the Kreuzer-Skarke l...
[ { "created": "Mon, 7 Nov 2022 19:13:48 GMT", "version": "v1" } ]
2022-11-09
[ [ "Demirtas", "Mehmet", "" ], [ "Rios-Tascon", "Andres", "" ], [ "McAllister", "Liam", "" ] ]
We provide a user's guide to version 1.0 of the software package CYTools, which we designed to compute the topological data of Calabi-Yau hypersurfaces in toric varieties. CYTools has strong capabilities in analyzing and triangulating polytopes, and can easily handle even the largest polytopes in the Kreuzer-Skarke lis...
2207.10095
Ken Kikuchi
Ken Kikuchi
Emergent symmetry and free energy
19 pages + 3 Appendices, 5 tables; v2: added proof on "monotonic" decrease of global dimensions under RG flows and comment on the second law of thermodynamics, and fixed typos
null
null
null
hep-th cond-mat.str-el math.CT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Just as spontaneous symmetry breaking can be understood in terms of energy, emergent symmetry (more precisely, its `size' and structure) can also be explained by free energy. In particular, in renormalization group flow to rational conformal field theory, we find infrared symmetry category is realized by consistent m...
[ { "created": "Wed, 20 Jul 2022 18:00:01 GMT", "version": "v1" }, { "created": "Sun, 21 Aug 2022 15:20:23 GMT", "version": "v2" } ]
2022-08-23
[ [ "Kikuchi", "Ken", "" ] ]
Just as spontaneous symmetry breaking can be understood in terms of energy, emergent symmetry (more precisely, its `size' and structure) can also be explained by free energy. In particular, in renormalization group flow to rational conformal field theory, we find infrared symmetry category is realized by consistent mod...
hep-th/9709131
Eduardo Ramos
Eduardo Ramos
The reduced covariant phase space quantization of the three dimensional Nambu-Goto string
LaTeX file (elsart macros), 22 pages
Nucl.Phys. B519 (1998) 435-452
10.1016/S0550-3213(98)00025-X
FTUAM97/13
hep-th
null
The reduced covariant phase space associated with the three-dimensional Euclidean Nambu-Goto action can be identified, via the Enneper-Weierstrass representation of minimal surfaces, with the space of complex analytic functions plus three translational zero modes. The symplectic structure induced trough the Enneper-W...
[ { "created": "Thu, 18 Sep 1997 20:15:04 GMT", "version": "v1" } ]
2009-10-30
[ [ "Ramos", "Eduardo", "" ] ]
The reduced covariant phase space associated with the three-dimensional Euclidean Nambu-Goto action can be identified, via the Enneper-Weierstrass representation of minimal surfaces, with the space of complex analytic functions plus three translational zero modes. The symplectic structure induced trough the Enneper-Wei...
hep-th/0105061
Diederik Roest
E. Bergshoeff, R. Kallosh, T. Ortin, D. Roest, A. Van Proeyen
Brane plus Bulk Supersymmetry in Ten Dimensions
15 pages, proceedings of 37th Karpacz Winter School, feb 2001
null
10.1063/1.1419313
UG-01-28, SU-ITP-01/23, IFT-UAM/CSIC-01-14, KUL-TF-01/12
hep-th
null
We discuss a generalized form of IIA/IIB supergravity depending on all R-R potentials C^(p) (p=0,1,...,9) as the effective field theory of Type IIA/IIB superstring theory. For the IIA case we explicitly break this R-R democracy to either p<=3 or p>=5 which allows us to write a new bulk action that can be coupled to N...
[ { "created": "Mon, 7 May 2001 15:49:59 GMT", "version": "v1" } ]
2009-11-07
[ [ "Bergshoeff", "E.", "" ], [ "Kallosh", "R.", "" ], [ "Ortin", "T.", "" ], [ "Roest", "D.", "" ], [ "Van Proeyen", "A.", "" ] ]
We discuss a generalized form of IIA/IIB supergravity depending on all R-R potentials C^(p) (p=0,1,...,9) as the effective field theory of Type IIA/IIB superstring theory. For the IIA case we explicitly break this R-R democracy to either p<=3 or p>=5 which allows us to write a new bulk action that can be coupled to N=1...
hep-th/9611051
Akio Sugamoto
Akio Sugamoto
Old-fashioned dualities revisited
Latex file, 21 pages
null
null
OCHA-PP-85
hep-th
null
In the lectures given at '96 Kashikojima Summer Institute, Amagi-Highland Seminars, and Yukawa Institute Workshop, the old-fashioned dualities and the theory of extended objects are reviewed, starting from 't Hooft-Mandelstam duality and following the author's old works. Application of the old-fashioned dualities to ...
[ { "created": "Fri, 8 Nov 1996 03:45:05 GMT", "version": "v1" } ]
2007-05-23
[ [ "Sugamoto", "Akio", "" ] ]
In the lectures given at '96 Kashikojima Summer Institute, Amagi-Highland Seminars, and Yukawa Institute Workshop, the old-fashioned dualities and the theory of extended objects are reviewed, starting from 't Hooft-Mandelstam duality and following the author's old works. Application of the old-fashioned dualities to ne...
2011.11914
Petr Horava
Alexander Frenkel, Petr Horava, Stephen Randall
Perelman's Ricci Flow in Topological Quantum Gravity
31 pages, 1 figure
Adv. Theor. Math. Phys. 27 (2023) 745
10.4310/ATMP.2023.v27.n3.a3
null
hep-th gr-qc math-ph math.DG math.MP quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the localization equations in the path integral. In this mapping between physics and mathematics, the role of Perelman's dilaton is played by...
[ { "created": "Tue, 24 Nov 2020 06:29:35 GMT", "version": "v1" } ]
2024-06-18
[ [ "Frenkel", "Alexander", "" ], [ "Horava", "Petr", "" ], [ "Randall", "Stephen", "" ] ]
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the localization equations in the path integral. In this mapping between physics and mathematics, the role of Perelman's dilaton is played by o...
1811.06048
Sanefumi Moriyama
Naotaka Kubo, Sanefumi Moriyama, Tomoki Nosaka
Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
33 pages, 9 figures
null
10.1007/JHEP01(2019)210
YITP-18-115, OCU-PHYS 489, KIAS-P18098
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by the free energy of topolog...
[ { "created": "Wed, 14 Nov 2018 20:31:08 GMT", "version": "v1" } ]
2019-02-20
[ [ "Kubo", "Naotaka", "" ], [ "Moriyama", "Sanefumi", "" ], [ "Nosaka", "Tomoki", "" ] ]
It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by the free energy of topologic...
hep-th/0003113
Oleg Andreev
Oleg Andreev, Harald Dorn (Humboldt-Universitat, Berlin)
Diagrams of Noncommutative Phi-Three Theory from String Theory
12 pages, 3 figures, a comment on the Chan-Paton factors added
Nucl.Phys. B583 (2000) 145-158
10.1016/S0550-3213(00)00326-6
HU Berlin-EP-00/19
hep-th
null
Starting from tree and one-loop tachyon amplitudes of open string theory in the presence of a constant B-field, we explore two problems. First we show that in the noncommutative field theory limit the amplitudes reduce to tree and one-loop diagrams of the noncommutative phi-three theory. Next, we check factorization ...
[ { "created": "Tue, 14 Mar 2000 17:19:22 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 2000 13:41:58 GMT", "version": "v2" }, { "created": "Fri, 12 May 2000 15:37:26 GMT", "version": "v3" } ]
2009-10-31
[ [ "Andreev", "Oleg", "", "Humboldt-Universitat, Berlin" ], [ "Dorn", "Harald", "", "Humboldt-Universitat, Berlin" ] ]
Starting from tree and one-loop tachyon amplitudes of open string theory in the presence of a constant B-field, we explore two problems. First we show that in the noncommutative field theory limit the amplitudes reduce to tree and one-loop diagrams of the noncommutative phi-three theory. Next, we check factorization of...
1811.03633
Anatoly Dymarsky
Alexander Avdoshkin, Lev Astrakhantsev, Anatoly Dymarsky, Michael Smolkin
Rate of cluster decomposition via Fermat-Steiner point
16 pages; journal version, appendix A added
J. High Energ. Phys. (2019) 2019: 128
10.1007/JHEP04(2019)128
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In quantum field theory with a mass gap correlation function between two spatially separated operators decays exponentially with the distance. This fundamental result immediately implies an exponential suppression of all higher point correlation functions, but the predicted exponent is not optimal. We argue that in a...
[ { "created": "Thu, 8 Nov 2018 19:00:06 GMT", "version": "v1" }, { "created": "Thu, 21 Nov 2019 19:37:02 GMT", "version": "v2" } ]
2019-11-25
[ [ "Avdoshkin", "Alexander", "" ], [ "Astrakhantsev", "Lev", "" ], [ "Dymarsky", "Anatoly", "" ], [ "Smolkin", "Michael", "" ] ]
In quantum field theory with a mass gap correlation function between two spatially separated operators decays exponentially with the distance. This fundamental result immediately implies an exponential suppression of all higher point correlation functions, but the predicted exponent is not optimal. We argue that in a g...
hep-th/0211148
Masashi Hamanaka
Masashi Hamanaka and Kouichi Toda
Towards Noncommutative Integrable Systems
13 pages, 1 figure, LaTeX; v2: typos corrected, comments and references added; v3: comments and references added, version to appear in Phys. lett. A
Phys.Lett. A316 (2003) 77-83
10.1016/S0375-9601(03)01138-1
UT-02-54
hep-th math-ph math.MP nlin.SI
null
We present a powerful method to generate various equations which possess the Lax representations on noncommutative (1+1) and (1+2)-dimensional spaces. The generated equations contain noncommutative integrable equations obtained by using the bicomplex method and by reductions of the noncommutative (anti-)self-dual Yan...
[ { "created": "Mon, 18 Nov 2002 14:14:34 GMT", "version": "v1" }, { "created": "Sun, 24 Nov 2002 14:18:10 GMT", "version": "v2" }, { "created": "Fri, 18 Jul 2003 05:55:58 GMT", "version": "v3" } ]
2010-04-05
[ [ "Hamanaka", "Masashi", "" ], [ "Toda", "Kouichi", "" ] ]
We present a powerful method to generate various equations which possess the Lax representations on noncommutative (1+1) and (1+2)-dimensional spaces. The generated equations contain noncommutative integrable equations obtained by using the bicomplex method and by reductions of the noncommutative (anti-)self-dual Yang-...
hep-th/0312144
Hael Collins
Hael Collins
A short introduction to the fate of the alpha-vacuum
6 pages, 1 figure, talk given at the Quantum Theory and Symmetries Symposium, 2003
null
10.1142/9789812702340_0035
CMU-HEP-03-13
hep-th
null
A free scalar field propagating in de Sitter space has a one parameter family of invariant states called the alpha-vacua. In an interacting theory, all except a unique state, the Bunch-Davies vacuum, produce non-renormalizable divergences. This talk provides a brief introduction to the origin and the form of these di...
[ { "created": "Fri, 12 Dec 2003 21:21:21 GMT", "version": "v1" } ]
2017-08-23
[ [ "Collins", "Hael", "" ] ]
A free scalar field propagating in de Sitter space has a one parameter family of invariant states called the alpha-vacua. In an interacting theory, all except a unique state, the Bunch-Davies vacuum, produce non-renormalizable divergences. This talk provides a brief introduction to the origin and the form of these dive...
hep-th/0410186
Nelson R. F. Braga
Nelson R. F. Braga and Cristine N. Ferreira
Topological mass term in effective Brane-World scenario with torsion
14 pages, LATEX
JHEP0503:039,2005
10.1088/1126-6708/2005/03/039
null
hep-th
null
In this work we investigate a braneworld scenario where a Kalb-Ramond field propagates, together with gravity, in a five dimensional AdS slice. The rank-2 Kalb-Ramond field is associated with torsion. We study the compactification of the Kalb-Ramond field to four dimensional space-time without gauge fixing, focusing ...
[ { "created": "Mon, 18 Oct 2004 13:16:34 GMT", "version": "v1" } ]
2008-11-26
[ [ "Braga", "Nelson R. F.", "" ], [ "Ferreira", "Cristine N.", "" ] ]
In this work we investigate a braneworld scenario where a Kalb-Ramond field propagates, together with gravity, in a five dimensional AdS slice. The rank-2 Kalb-Ramond field is associated with torsion. We study the compactification of the Kalb-Ramond field to four dimensional space-time without gauge fixing, focusing on...
1912.05414
Rui Vilela-Mendes
R. Vilela Mendes
Space-times over normed division algebras, revisited
21 pages Latex
Int. J. Modern Physics A 35 (2020) 2050055
10.1142/S0217751X20500554
null
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Normed division and Clifford algebras have been extensively used in the past as a mathematical framework to accommodate the structures of the standard model and grand unified theories. Less discussed has been the question of why such algebraic structures appear in Nature. One possibility could be an intrinsic complex...
[ { "created": "Wed, 11 Dec 2019 16:10:46 GMT", "version": "v1" } ]
2020-11-18
[ [ "Mendes", "R. Vilela", "" ] ]
Normed division and Clifford algebras have been extensively used in the past as a mathematical framework to accommodate the structures of the standard model and grand unified theories. Less discussed has been the question of why such algebraic structures appear in Nature. One possibility could be an intrinsic complex, ...
1709.04239
Andrey Davydov
Andrey Davydov, Konstantin Sveshnikov and Yulia Voronina
Vacuum energy of one-dimensional supercritical Dirac-Coulomb system
19 pages, 23 figures
Int. J. Mod. Phys. A 32, 1750054 (2017)
10.1142/S0217751X17500543
null
hep-th physics.atom-ph quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with $Z>Z_{cr}$ in 1+1 D. Both the vacuum charge density $\rho_{vac}(x)$ and vacuum energy $E_{vac}$ are considered. It is shown that in the overcritical region the behavior of vacuum energy could be significantly different fr...
[ { "created": "Wed, 13 Sep 2017 10:35:29 GMT", "version": "v1" } ]
2018-01-08
[ [ "Davydov", "Andrey", "" ], [ "Sveshnikov", "Konstantin", "" ], [ "Voronina", "Yulia", "" ] ]
Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with $Z>Z_{cr}$ in 1+1 D. Both the vacuum charge density $\rho_{vac}(x)$ and vacuum energy $E_{vac}$ are considered. It is shown that in the overcritical region the behavior of vacuum energy could be significantly different from...
2402.16938
Kurt Hinterbichler
Kurt Hinterbichler
Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
70 pages. v2 several statements corrected
JHEP 06 (2024) 033
10.1007/JHEP06(2024)033
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We catalog all the electromagnetic-like dualities that exist between free dynamical bosonic fields of arbitrary symmetry type and mass on (anti-) de Sitter space in all dimensions, including dualities among the partially massless and shift symmetric fields. This generalizes to all these field types the well known fac...
[ { "created": "Mon, 26 Feb 2024 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 28 Jun 2024 20:58:48 GMT", "version": "v2" } ]
2024-07-02
[ [ "Hinterbichler", "Kurt", "" ] ]
We catalog all the electromagnetic-like dualities that exist between free dynamical bosonic fields of arbitrary symmetry type and mass on (anti-) de Sitter space in all dimensions, including dualities among the partially massless and shift symmetric fields. This generalizes to all these field types the well known fact ...
hep-th/0506113
Mihai Visinescu
Stefan Adrian Carstea, Mihai Visinescu
Special solutions for Ricci flow equation in 2D using the linearization approach
8 pages, latex, no figures
Mod.Phys.Lett.A20:2993-3002,2005
10.1142/S021773230501892X
null
hep-th math-ph math.MP nlin.SI
null
The 2D Ricci flow equation in the conformal gauge is studied using the linearization approach. Using a non-linear substitution of logarithmic type, the emergent quadratic equation is split in various ways. New special solutions involving arbitrary functions are presented. Some special reductions are also discussed.
[ { "created": "Tue, 14 Jun 2005 08:36:13 GMT", "version": "v1" } ]
2010-11-26
[ [ "Carstea", "Stefan Adrian", "" ], [ "Visinescu", "Mihai", "" ] ]
The 2D Ricci flow equation in the conformal gauge is studied using the linearization approach. Using a non-linear substitution of logarithmic type, the emergent quadratic equation is split in various ways. New special solutions involving arbitrary functions are presented. Some special reductions are also discussed.
hep-th/0012015
Parampreet Singh
Naresh Dadhich and Narayan Banerjee
Global monopoles and scalar fields as the electrogravity dual of Schwarzschild spacetime
5 pages, RevTex
Mod.Phys.Lett. A16 (2001) 1193-1200
10.1142/S0217732301004376
null
hep-th gr-qc
null
We prove that both global monopole and minimally coupled static zero mass scalar field are electrogravity dual of the Schwarzschild solution or flat space and they share the same equation of state, $T^0_0 - T^i_i = 0$. This property was however known for the global monopole spacetime while it is for the first time be...
[ { "created": "Mon, 4 Dec 2000 13:27:05 GMT", "version": "v1" } ]
2009-10-31
[ [ "Dadhich", "Naresh", "" ], [ "Banerjee", "Narayan", "" ] ]
We prove that both global monopole and minimally coupled static zero mass scalar field are electrogravity dual of the Schwarzschild solution or flat space and they share the same equation of state, $T^0_0 - T^i_i = 0$. This property was however known for the global monopole spacetime while it is for the first time bein...
1408.5841
Thomas A. Ryttov
Thomas A. Ryttov
Conformal Behavior at Four Loops and Scheme (In)Dependence
Several changes. Matches the published version
Phys. Rev. D 90, 056007 (2014)
10.1103/PhysRevD.90.056007
CP3-Origins-2014-030-DNRF-90, DIAS-2014-30
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the beta function are studied at the two, three and four loop level in two different...
[ { "created": "Mon, 25 Aug 2014 17:35:01 GMT", "version": "v1" }, { "created": "Wed, 1 Oct 2014 19:45:13 GMT", "version": "v2" } ]
2014-10-02
[ [ "Ryttov", "Thomas A.", "" ] ]
We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the beta function are studied at the two, three and four loop level in two different e...
1507.00799
Antonino Flachi
Antonino Flachi and Lee-Peng Teo
Bubble-wall Casimir interaction in fermionic environments
15 pages
null
null
null
hep-th quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of the quantum interaction energy is carried out using the multiple scattering ap...
[ { "created": "Fri, 3 Jul 2015 01:26:54 GMT", "version": "v1" } ]
2015-07-06
[ [ "Flachi", "Antonino", "" ], [ "Teo", "Lee-Peng", "" ] ]
We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of the quantum interaction energy is carried out using the multiple scattering appr...
0908.2469
John Baez
John C. Baez, Aaron Lauda
A Prehistory of n-Categorical Physics
129 pages, 8 eps figures
Deep beauty, 13-128, Cambridge Univ. Press, Cambridge, 2011
10.1017/CBO9780511976971.003
null
hep-th gr-qc math.CT math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper traces the growing role of categories and n-categories in physics, starting with groups and their role in relativity, and leading up to more sophisticated concepts which manifest themselves in Feynman diagrams, spin networks, string theory, loop quantum gravity, and topological quantum field theory. Our ch...
[ { "created": "Tue, 18 Aug 2009 00:47:18 GMT", "version": "v1" } ]
2012-04-16
[ [ "Baez", "John C.", "" ], [ "Lauda", "Aaron", "" ] ]
This paper traces the growing role of categories and n-categories in physics, starting with groups and their role in relativity, and leading up to more sophisticated concepts which manifest themselves in Feynman diagrams, spin networks, string theory, loop quantum gravity, and topological quantum field theory. Our chro...
hep-th/0602149
Koh-suke Aoyanagi
Koh-suke Aoyanagi and Kei-ichi Maeda
Creation of a brane world with a bulk scalar field
null
JCAP 0603:012,2006
10.1088/1475-7516/2006/03/012
null
hep-th astro-ph gr-qc
null
We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: $V(\phi)\propto \exp(-2\beta \phi)$, where $\beta$ is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model ($\beta=0$) and ...
[ { "created": "Wed, 15 Feb 2006 06:53:26 GMT", "version": "v1" } ]
2011-07-19
[ [ "Aoyanagi", "Koh-suke", "" ], [ "Maeda", "Kei-ichi", "" ] ]
We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: $V(\phi)\propto \exp(-2\beta \phi)$, where $\beta$ is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model ($\beta=0$) and th...
0912.5153
David Dudal
L. Baulieu, D. Dudal, M.S. Guimaraes, M.Q. Huber, S.P. Sorella, N. Vandersickel, D. Zwanziger
Gribov horizon and i-particles: about a toy model and the construction of physical operators
35 pages, 10 .pdf figures. v2: version accepted for publication in Physical Review D
Phys.Rev.D82:025021,2010
10.1103/PhysRevD.82.025021
null
hep-th hep-lat hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Restricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphysical modes, called...
[ { "created": "Mon, 28 Dec 2009 10:49:30 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 2010 07:25:53 GMT", "version": "v2" } ]
2011-01-19
[ [ "Baulieu", "L.", "" ], [ "Dudal", "D.", "" ], [ "Guimaraes", "M. S.", "" ], [ "Huber", "M. Q.", "" ], [ "Sorella", "S. P.", "" ], [ "Vandersickel", "N.", "" ], [ "Zwanziger", "D.", "" ] ]
Restricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphysical modes, called h...
hep-th/9707090
Michael Flohr
Michael Flohr
Singular Vectors in Logarithmic Conformal Field Theories
26 pages, LaTeX with two eps figures included
Nucl.Phys. B514 (1998) 523-552
10.1016/S0550-3213(97)00012-6
IASSNS-HEP-97/73
hep-th
null
Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithm...
[ { "created": "Wed, 9 Jul 1997 18:31:12 GMT", "version": "v1" } ]
2009-10-30
[ [ "Flohr", "Michael", "" ] ]
Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic...
hep-th/0603069
Noriko Shiiki
Noriko Shiiki, Nobuyuki Sawado and Shinsho Oryu
Supersymmetric Skyrmions : Numerical Solutions
7 pages, 5 figures
null
null
null
hep-th
null
We consider the ${\cal N}=1$ Skyrme model and obtain supersymmetric skyrmion solutions numerically. The model necessarily contains higher derivative terms and as a result the field equation becomes a fourth-order differential equation. Solving the equation directly leads to runaway solutions as expected in higher der...
[ { "created": "Thu, 9 Mar 2006 04:53:26 GMT", "version": "v1" } ]
2007-05-23
[ [ "Shiiki", "Noriko", "" ], [ "Sawado", "Nobuyuki", "" ], [ "Oryu", "Shinsho", "" ] ]
We consider the ${\cal N}=1$ Skyrme model and obtain supersymmetric skyrmion solutions numerically. The model necessarily contains higher derivative terms and as a result the field equation becomes a fourth-order differential equation. Solving the equation directly leads to runaway solutions as expected in higher deriv...
1011.3643
Marco Frasca
Marco Frasca
Mapping theorem and Green functions in Yang-Mills theory
10 pages and 4 figures. Updated a reference. Contribution to the proceedings of the conference "The many faces of QCD", Gent (Belgium), November 1-5, 2010
PoS FacesQCD:039,2010
10.22323/1.117.0039
null
hep-th hep-lat hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is shown how, starting from a mapping theorem recently proved between massless quartic scalar field theory and Yang-Mills theory, both two-point functions and spectrum of the Yang-Mills theory can be obtained. These results compare very well with respect to lattice computations.
[ { "created": "Tue, 16 Nov 2010 10:46:32 GMT", "version": "v1" }, { "created": "Fri, 18 Feb 2011 15:11:08 GMT", "version": "v2" }, { "created": "Tue, 22 Feb 2011 14:10:03 GMT", "version": "v3" } ]
2018-10-31
[ [ "Frasca", "Marco", "" ] ]
It is shown how, starting from a mapping theorem recently proved between massless quartic scalar field theory and Yang-Mills theory, both two-point functions and spectrum of the Yang-Mills theory can be obtained. These results compare very well with respect to lattice computations.
hep-th/0111004
Atish Dabholkar
Atish Dabholkar
Tachyon Condensation and Black Hole Entropy
4 pages, Revtex
Phys.Rev.Lett. 88 (2002) 091301
10.1103/PhysRevLett.88.091301
HUPT-01/A051, TIFR/TH/01-42
hep-th
null
String propagation on a cone with deficit angle $2\pi(1-{1\over N})$ is considered for the purpose of computing the entropy of a large mass black hole. The entropy computed using the recent results on condensation of twisted-sector tachyons in this theory is found to be in precise agreement with the Bekenstein-Hawkin...
[ { "created": "Wed, 31 Oct 2001 22:23:24 GMT", "version": "v1" } ]
2009-11-07
[ [ "Dabholkar", "Atish", "" ] ]
String propagation on a cone with deficit angle $2\pi(1-{1\over N})$ is considered for the purpose of computing the entropy of a large mass black hole. The entropy computed using the recent results on condensation of twisted-sector tachyons in this theory is found to be in precise agreement with the Bekenstein-Hawking ...
1310.5950
Markus Quandt
Markus Quandt, Hugo Reinhardt and Jan Heffner
A covariant variational approach to Yang-Mills Theory
33 pages, LaTeX, 6 eps figures, 1 table
Phys. Rev. D 89, 065037 (2014)
10.1103/PhysRevD.89.065037
null
hep-th hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant established previously in the Hamiltonian approach in Coulomb gauge leads to a closed ...
[ { "created": "Tue, 22 Oct 2013 15:11:34 GMT", "version": "v1" } ]
2014-04-02
[ [ "Quandt", "Markus", "" ], [ "Reinhardt", "Hugo", "" ], [ "Heffner", "Jan", "" ] ]
We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant established previously in the Hamiltonian approach in Coulomb gauge leads to a closed se...
2005.01744
Mark Hertzberg
Mark P. Hertzberg, Jacob A. Litterer, McCullen Sandora
Symmetries from Locality. II. Gravitation and Lorentz Boosts
13 pages in double column format. V2 further clarification and fixed some typos. V3: Further clarifications, including mass terms. Updated towards version accepted for publication in Phys. Rev. D, including journal title format
Phys. Rev. D 102, 025023 (2020)
10.1103/PhysRevD.102.025023
null
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is known that local, Lorentz invariant, unitary theories involving particles with spin 1 demand that the matter sector they couple to are organized by internal physical symmetries and the associated charge conservation, while spin 3/2 demands supersymmetry. However, the introduction of a spin 2 graviton does not o...
[ { "created": "Mon, 4 May 2020 18:00:07 GMT", "version": "v1" }, { "created": "Tue, 26 May 2020 21:14:47 GMT", "version": "v2" }, { "created": "Tue, 11 Aug 2020 01:30:21 GMT", "version": "v3" } ]
2020-08-12
[ [ "Hertzberg", "Mark P.", "" ], [ "Litterer", "Jacob A.", "" ], [ "Sandora", "McCullen", "" ] ]
It is known that local, Lorentz invariant, unitary theories involving particles with spin 1 demand that the matter sector they couple to are organized by internal physical symmetries and the associated charge conservation, while spin 3/2 demands supersymmetry. However, the introduction of a spin 2 graviton does not obv...
1405.0283
Sebastian C. Kraus
Maximilian Arends, Arthur Hebecker, Konrad Heimpel, Sebastian C. Kraus, Dieter Lust, Christoph Mayrhofer, Christoph Schick, Timo Weigand
D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
61 pages, 10 figures; v3: references added; v2: references added, error in cosmic string bound corrected
Fortschr. Phys. 62, No. 8, 647-702 (2014)
10.1002/prop.201400045
MPP-2014-172, LMU-ASC 23/14
hep-th astro-ph.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze the quantum-corrected moduli space of D7-brane position moduli with special emphasis on inflationary model building. D7-brane deformation moduli are key players in two recently proposed inflationary scenarios: The first, D7-brane chaotic inflation, is a variant of axion monodromy inflation which allows for...
[ { "created": "Thu, 1 May 2014 20:00:04 GMT", "version": "v1" }, { "created": "Tue, 13 May 2014 18:55:19 GMT", "version": "v2" }, { "created": "Mon, 7 Jul 2014 15:43:34 GMT", "version": "v3" } ]
2014-08-27
[ [ "Arends", "Maximilian", "" ], [ "Hebecker", "Arthur", "" ], [ "Heimpel", "Konrad", "" ], [ "Kraus", "Sebastian C.", "" ], [ "Lust", "Dieter", "" ], [ "Mayrhofer", "Christoph", "" ], [ "Schick", "Christoph", ...
We analyze the quantum-corrected moduli space of D7-brane position moduli with special emphasis on inflationary model building. D7-brane deformation moduli are key players in two recently proposed inflationary scenarios: The first, D7-brane chaotic inflation, is a variant of axion monodromy inflation which allows for a...
hep-th/9912166
Andrew Chamblin
Andrew Chamblin and Douglas M. Eardley
Puncture of gravitating domain walls
13 pages REVTeX, 3 .ps figures, added some references - version to appear in Physics Letters B
Phys.Lett. B475 (2000) 46-55
10.1016/S0370-2693(00)00067-8
NSF-ITP-98-077, DAMTP R-1988/77
hep-th gr-qc hep-ph
null
We investigate the semi-classical instability of vacuum domain walls to processes where the domain walls decay by the formation of closed string loop boundaries on their worldvolumes. Intuitively, a wall which is initially spherical may `pop', so that a hole corresponding to a string boundary component on the wall, m...
[ { "created": "Mon, 20 Dec 1999 00:30:13 GMT", "version": "v1" }, { "created": "Sat, 8 Jan 2000 02:31:37 GMT", "version": "v2" } ]
2009-10-31
[ [ "Chamblin", "Andrew", "" ], [ "Eardley", "Douglas M.", "" ] ]
We investigate the semi-classical instability of vacuum domain walls to processes where the domain walls decay by the formation of closed string loop boundaries on their worldvolumes. Intuitively, a wall which is initially spherical may `pop', so that a hole corresponding to a string boundary component on the wall, may...
1609.05222
Samir Mathur
Samir D. Mathur
What prevents gravitational collapse in string theory?
6 pages (Essay awarded an honorable mention in the Gravity Research Foundation 2016 essay competition.)
null
10.1142/S0218271816440181
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is conventionally believed that if a ball of matter of mass $M$ has a radius close to $2GM$ then it must collapse to a black hole. But string theory microstates (fuzzballs) have no horizon or singularity, and they do {\it not} collapse. We consider two simple examples from classical gravity to illustrate how this ...
[ { "created": "Fri, 16 Sep 2016 20:26:36 GMT", "version": "v1" } ]
2016-11-15
[ [ "Mathur", "Samir D.", "" ] ]
It is conventionally believed that if a ball of matter of mass $M$ has a radius close to $2GM$ then it must collapse to a black hole. But string theory microstates (fuzzballs) have no horizon or singularity, and they do {\it not} collapse. We consider two simple examples from classical gravity to illustrate how this vi...
0809.2604
Matthew Johnson
Matthew C Johnson and Magdalena Larfors
An obstacle to populating the string theory landscape
5 PRD style pages with 2 embedded figures. Replaced to match published version
Phys.Rev.D78:123513,2008
10.1103/PhysRevD.78.123513
UUITP-21/08, CALT-68.2700
hep-th astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct domain walls and instantons in a class of models with coupled scalar fields, determining, in agreement with previous studies, that many such solutions contain naked timelike singularities. Vacuum bubble solutions of this type do not contain a region of true vacuum, obstructing the ability of eternal infl...
[ { "created": "Tue, 16 Sep 2008 18:53:31 GMT", "version": "v1" }, { "created": "Thu, 24 Sep 2009 23:41:23 GMT", "version": "v2" } ]
2009-09-25
[ [ "Johnson", "Matthew C", "" ], [ "Larfors", "Magdalena", "" ] ]
We construct domain walls and instantons in a class of models with coupled scalar fields, determining, in agreement with previous studies, that many such solutions contain naked timelike singularities. Vacuum bubble solutions of this type do not contain a region of true vacuum, obstructing the ability of eternal inflat...
1604.06273
Hugo Reinhardt
Hugo Reinhardt
Hamiltonian finite-temperature quantum field theory from its vacuum on partially compactified space
null
Phys. Rev. D 94, 045016 (2016)
10.1103/PhysRevD.94.045016
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The partition function of a relativistic invariant quantum field theory is expressed by its vacuum energy calculated on a spatial manifold with one dimension compactified to a 1-sphere $S^1 (\beta)$, whose circumference $\beta$ represents the inverse temperature. Explicit expressions for the usual energy density and ...
[ { "created": "Thu, 21 Apr 2016 12:24:30 GMT", "version": "v1" } ]
2016-08-31
[ [ "Reinhardt", "Hugo", "" ] ]
The partition function of a relativistic invariant quantum field theory is expressed by its vacuum energy calculated on a spatial manifold with one dimension compactified to a 1-sphere $S^1 (\beta)$, whose circumference $\beta$ represents the inverse temperature. Explicit expressions for the usual energy density and pr...
hep-th/0104131
Christof Schmidhuber
Christof Schmidhuber
Brane Supersymmetry Breaking and the Cosmological Constant: Open Problems
null
Nucl.Phys. B619 (2001) 603-614
10.1016/S0550-3213(01)00538-7
CERN-TH/2001-087
hep-th
null
It has recently been argued that non--BPS brane world scenarios can reproduce the small value of the cosmological constant that seems to have been measured. Objections against this proposal are discussed and necessary (but not sufficient) conditions are stated under which it may work. At least n=2 extra dimensions ar...
[ { "created": "Mon, 16 Apr 2001 03:23:12 GMT", "version": "v1" } ]
2016-09-06
[ [ "Schmidhuber", "Christof", "" ] ]
It has recently been argued that non--BPS brane world scenarios can reproduce the small value of the cosmological constant that seems to have been measured. Objections against this proposal are discussed and necessary (but not sufficient) conditions are stated under which it may work. At least n=2 extra dimensions are ...
1907.03068
Dmitry Kaparulin
Dmitry S. Kaparulin
Conservation Laws and Stability of Field Theories of Derived Type
18 pages
Symmetry 2019, 11(5), 642
10.3390/sym11050642
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the issue of correspondence between symmetries and conserved quantities in the class of linear relativistic higher-derivative theories of derived type. In this class of models the wave operator is a polynomial in another formally self-adjoint operator, while each isometry of space-time gives rise to the s...
[ { "created": "Sat, 6 Jul 2019 03:48:16 GMT", "version": "v1" } ]
2019-07-09
[ [ "Kaparulin", "Dmitry S.", "" ] ]
We consider the issue of correspondence between symmetries and conserved quantities in the class of linear relativistic higher-derivative theories of derived type. In this class of models the wave operator is a polynomial in another formally self-adjoint operator, while each isometry of space-time gives rise to the ser...
1608.04730
Dhritiman Nandan
Dhritiman Nandan, Jan Plefka and Wadim Wormsbecher
Collinear limits beyond the leading order from the scattering equations
38 pages
null
10.1007/JHEP02(2017)038
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The structure of tree-level scattering amplitudes for collinear massless bosons is studied beyond their leading splitting function behavior. These near-collinear limits at sub-leading order are best studied using the Cachazo-He-Yuan (CHY) formulation of the S-matrix based on the scattering equations. We compute the c...
[ { "created": "Tue, 16 Aug 2016 19:50:19 GMT", "version": "v1" }, { "created": "Tue, 1 Nov 2016 18:27:08 GMT", "version": "v2" } ]
2017-03-08
[ [ "Nandan", "Dhritiman", "" ], [ "Plefka", "Jan", "" ], [ "Wormsbecher", "Wadim", "" ] ]
The structure of tree-level scattering amplitudes for collinear massless bosons is studied beyond their leading splitting function behavior. These near-collinear limits at sub-leading order are best studied using the Cachazo-He-Yuan (CHY) formulation of the S-matrix based on the scattering equations. We compute the col...
0709.3813
Girma Hailu
Girma Hailu
Type IIB Flows with N=1 Supersymmetry
28 pages
JHEP 0710:082,2007
10.1088/1126-6708/2007/10/082
null
hep-th
null
We write general and explicit equations which solve the supersymmetry transformations with two arbitrary complex-proportional Weyl spinors on $\mathcal{N}=1$ supersymmetric type IIB strings backgrounds with all R-R $F_1$, $F_3$, $F_5$ and NS-NS $H_3$ fluxes turned on using SU(3) structures. The equations are generali...
[ { "created": "Mon, 24 Sep 2007 17:08:46 GMT", "version": "v1" } ]
2009-06-19
[ [ "Hailu", "Girma", "" ] ]
We write general and explicit equations which solve the supersymmetry transformations with two arbitrary complex-proportional Weyl spinors on $\mathcal{N}=1$ supersymmetric type IIB strings backgrounds with all R-R $F_1$, $F_3$, $F_5$ and NS-NS $H_3$ fluxes turned on using SU(3) structures. The equations are generaliza...
hep-th/9310112
null
C. R. Nappi and E. Witten
A WZW model based on a non-semi-simple group
8 pages, phyzzx, IASSNS-HEP-93/61 Texable version
Phys.Rev.Lett.71:3751-3753,1993
10.1103/PhysRevLett.71.3751
null
hep-th
null
We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar\'e algebra. The central charge of this theory is exactly four, just like four dimensional Minkowski space. The model can be int...
[ { "created": "Mon, 18 Oct 1993 17:31:25 GMT", "version": "v1" }, { "created": "Tue, 19 Oct 1993 17:49:56 GMT", "version": "v2" } ]
2010-04-07
[ [ "Nappi", "C. R.", "" ], [ "Witten", "E.", "" ] ]
We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar\'e algebra. The central charge of this theory is exactly four, just like four dimensional Minkowski space. The model can be inter...
hep-th/0702119
Kei-Ichi Kondo
Kei-Ichi Kondo (Chiba University, Japan)
A gauge-invariant mechanism for quark confinement and a new approach to the mass gap problem
7 pages, proceedings of SCGT06 workshop
null
10.1142/9789812790750_0009
CHIBA-EP-163
hep-th hep-ph
null
We give a gauge-invariant description of the dual superconductivity for deriving quark confinement and mass gap in Yang-Mills theory.
[ { "created": "Thu, 15 Feb 2007 05:39:23 GMT", "version": "v1" } ]
2017-08-23
[ [ "Kondo", "Kei-Ichi", "", "Chiba University, Japan" ] ]
We give a gauge-invariant description of the dual superconductivity for deriving quark confinement and mass gap in Yang-Mills theory.
hep-th/0311273
Sergei Alexandrov
Sergei Alexandrov
Matrix Quantum Mechanics and Two-dimensional String Theory in Non-trivial Backgrounds
PhD thesis, defended 23/09/2003; 177 pages
null
null
null
hep-th
null
String theory is the most promising candidate for the theory unifying all interactions including gravity. It has an extremely difficult dynamics. Therefore, it is useful to study some its simplifications. One of them is non-critical string theory which can be defined in low dimensions. A particular interesting case i...
[ { "created": "Fri, 28 Nov 2003 14:47:26 GMT", "version": "v1" }, { "created": "Thu, 4 Dec 2003 14:57:49 GMT", "version": "v2" } ]
2007-05-23
[ [ "Alexandrov", "Sergei", "" ] ]
String theory is the most promising candidate for the theory unifying all interactions including gravity. It has an extremely difficult dynamics. Therefore, it is useful to study some its simplifications. One of them is non-critical string theory which can be defined in low dimensions. A particular interesting case is ...
1609.01923
Paolo Benincasa
Paolo Benincasa, David Gordo
On-shell diagrams and the geometry of planar N < 4 SYM theories
34 pages, 65 figures
null
10.1007/JHEP11(2017)192
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We continue the discussion of the decorated on-shell diagrammatics for planar N < 4 Supersymmetric Yang-Mills theories started in arXiv:1510.03642. In particular, we focus on its relation with the structure of varieties on the Grassmannian. The decoration of the on-shell diagrams, which physically keeps tracks of the...
[ { "created": "Wed, 7 Sep 2016 10:34:34 GMT", "version": "v1" } ]
2018-01-17
[ [ "Benincasa", "Paolo", "" ], [ "Gordo", "David", "" ] ]
We continue the discussion of the decorated on-shell diagrammatics for planar N < 4 Supersymmetric Yang-Mills theories started in arXiv:1510.03642. In particular, we focus on its relation with the structure of varieties on the Grassmannian. The decoration of the on-shell diagrams, which physically keeps tracks of the h...
1203.0909
Dimitri Polyakov Prof
Seungjin Lee, Dimitri Polyakov
String Amplitudes and Frame-like Formalism for Higher Spins
25 pages
null
10.1103/PhysRevD.85.106014
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating extra fields to the dynamical frame-like field and relation between dynamical...
[ { "created": "Mon, 5 Mar 2012 13:36:05 GMT", "version": "v1" } ]
2013-05-30
[ [ "Lee", "Seungjin", "" ], [ "Polyakov", "Dimitri", "" ] ]
We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating extra fields to the dynamical frame-like field and relation between dynamical f...
1611.08599
Matthias Wilhelm
Laura Koster, Vladimir Mitev, Matthias Staudacher, Matthias Wilhelm
On Form Factors and Correlation Functions in Twistor Space
24+17 pages, 18 figures; v2: typos corrected, matches published version
JHEP 1703 (2017) 131
10.1007/JHEP03(2017)131
HU-Mathematik-2016-20, HU-EP-16/40, MITP/16-123
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of N=4 super Yang-Mills theory. Using the vertices for these operators obtained in our recent papers arXiv:1603.04471 and arXiv:1604.00012, we show how to calcul...
[ { "created": "Fri, 25 Nov 2016 21:00:01 GMT", "version": "v1" }, { "created": "Mon, 22 May 2017 16:40:34 GMT", "version": "v2" } ]
2017-05-23
[ [ "Koster", "Laura", "" ], [ "Mitev", "Vladimir", "" ], [ "Staudacher", "Matthias", "" ], [ "Wilhelm", "Matthias", "" ] ]
In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of N=4 super Yang-Mills theory. Using the vertices for these operators obtained in our recent papers arXiv:1603.04471 and arXiv:1604.00012, we show how to calculat...
hep-th/0106203
Krzysztof Meissner
Krzysztof A. Meissner and Marek Olechowski
Brane localization of gravity in higher derivative theory
14 pages, Latex
Phys.Rev.D65:064017,2002
10.1103/PhysRevD.65.064017
IFT-20/2001
hep-th gr-qc
null
We consider a class of higher order corrections in the form of Euler densities of arbitrary rank $n$ to the standard gravity action in $D$ dimensions. We have previously shown that this class of corrections allows for domain wall solutions despite the presence of higher powers of the curvature. In the present paper w...
[ { "created": "Fri, 22 Jun 2001 11:00:46 GMT", "version": "v1" } ]
2008-11-26
[ [ "Meissner", "Krzysztof A.", "" ], [ "Olechowski", "Marek", "" ] ]
We consider a class of higher order corrections in the form of Euler densities of arbitrary rank $n$ to the standard gravity action in $D$ dimensions. We have previously shown that this class of corrections allows for domain wall solutions despite the presence of higher powers of the curvature. In the present paper we ...
1407.8481
Dmitry Sergeevich Kaparulin
D.S. Kaparulin, S.L. Lyakhovich and A.A. Sharapov
Classical and quantum stability of higher-derivative dynamics
39 pages, minor corrections, references added
null
10.1140/epjc/s10052-014-3072-3
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unbounded. We use the concept of a Lagrange anchor to demonstrate that the bounded integral of motion is connected with the time-translation inv...
[ { "created": "Thu, 31 Jul 2014 16:26:34 GMT", "version": "v1" }, { "created": "Tue, 12 Aug 2014 13:58:01 GMT", "version": "v2" } ]
2015-06-22
[ [ "Kaparulin", "D. S.", "" ], [ "Lyakhovich", "S. L.", "" ], [ "Sharapov", "A. A.", "" ] ]
We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unbounded. We use the concept of a Lagrange anchor to demonstrate that the bounded integral of motion is connected with the time-translation invar...
1210.4815
Ugo Moschella
Ugo Moschella
Infrared surprises in the de Sitter universe
null
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a few unexpected features of de Sitter Quantum Field Theory that have no Minkowskian counterparts. These phenomena show that even when the cosmological constant is tiny a Minkowskian way of fast thinking about de Sitter can lead to mistakes and that de Sitter QFT is essentially different from standard rel...
[ { "created": "Wed, 17 Oct 2012 18:30:07 GMT", "version": "v1" } ]
2012-10-18
[ [ "Moschella", "Ugo", "" ] ]
We describe a few unexpected features of de Sitter Quantum Field Theory that have no Minkowskian counterparts. These phenomena show that even when the cosmological constant is tiny a Minkowskian way of fast thinking about de Sitter can lead to mistakes and that de Sitter QFT is essentially different from standard relat...
1101.5880
Kluson Josef
J. Kluson
Lagrange Multiplier Modified Horava-Lifshitz Gravity
17 pages, references added
null
10.1140/epjc/s10052-011-1820-1
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider RFDiff invariant Horava-Lifshitz gravity action with additional Lagrange multiplier term that is a function of scalar curvature. We find its Hamiltonian formulation and we show that the constraint structure implies the same number of physical degrees of freedom as in General Relativity.
[ { "created": "Mon, 31 Jan 2011 09:18:20 GMT", "version": "v1" }, { "created": "Fri, 11 Feb 2011 11:18:39 GMT", "version": "v2" } ]
2015-05-27
[ [ "Kluson", "J.", "" ] ]
We consider RFDiff invariant Horava-Lifshitz gravity action with additional Lagrange multiplier term that is a function of scalar curvature. We find its Hamiltonian formulation and we show that the constraint structure implies the same number of physical degrees of freedom as in General Relativity.
1712.10023
Dongwook Ghim
Cyril Closset, Dongwook Ghim, Rak-Kyeong Seong
Supersymmetric gauged matrix models from dimensional reduction on a sphere
27 pages, 6 figures, 3 tables
JHEP 1805:026,2018
10.1007/JHEP05(2018)026
CERN-TH-2017-284, SNUTP17-005
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It was recently proposed that N=1 supersymmetric gauged matrix models have a duality of order four - that is, a quadrality - reminiscent of infrared dualities of SQCD theories in higher dimensions. In this note, we show that the zero-dimensional quadrality proposal can be infered from the two-dimensional Gadde-Gukov-...
[ { "created": "Thu, 28 Dec 2017 19:00:01 GMT", "version": "v1" } ]
2018-05-15
[ [ "Closset", "Cyril", "" ], [ "Ghim", "Dongwook", "" ], [ "Seong", "Rak-Kyeong", "" ] ]
It was recently proposed that N=1 supersymmetric gauged matrix models have a duality of order four - that is, a quadrality - reminiscent of infrared dualities of SQCD theories in higher dimensions. In this note, we show that the zero-dimensional quadrality proposal can be infered from the two-dimensional Gadde-Gukov-Pu...
1210.6723
Shinya Tomizawa
Shinya Tomizawa, Shun'ya Mizoguchi
General Kaluza-Klein black holes with all six independent charges in five-dimensional minimal supergravity
11 pages
null
10.1103/PhysRevD.87.024027
KEK-TH 1466
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using the SL(2,R)-duality in a dimensionally reduced spacetime in (the bosonic sector of) five-dimensional minimal supergravity, we construct general Kaluza-Klein black hole solutions which carry six independent charges, its mass, angular momentum along four dimensions, electric and magnetic charges of the Maxwell fi...
[ { "created": "Thu, 25 Oct 2012 01:46:26 GMT", "version": "v1" } ]
2013-05-30
[ [ "Tomizawa", "Shinya", "" ], [ "Mizoguchi", "Shun'ya", "" ] ]
Using the SL(2,R)-duality in a dimensionally reduced spacetime in (the bosonic sector of) five-dimensional minimal supergravity, we construct general Kaluza-Klein black hole solutions which carry six independent charges, its mass, angular momentum along four dimensions, electric and magnetic charges of the Maxwell fiel...
2312.15764
Alex Buchel
Alex Buchel
Holographic conformal order with higher derivatives
16 pages, 3 figures. arXiv admin note: text overlap with arXiv:2312.05377
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Conformal order are isotropic and translationary invariant thermal states of a conformal theory with nonzero expectation value of certain operators. While ubiquitous in bottom-up models of holographic CFTs, conformal order states are unstable in theories dual to bulk two-derivative gravity. We explore conformal order...
[ { "created": "Mon, 25 Dec 2023 16:23:58 GMT", "version": "v1" } ]
2023-12-27
[ [ "Buchel", "Alex", "" ] ]
Conformal order are isotropic and translationary invariant thermal states of a conformal theory with nonzero expectation value of certain operators. While ubiquitous in bottom-up models of holographic CFTs, conformal order states are unstable in theories dual to bulk two-derivative gravity. We explore conformal order i...
1210.0339
Luis Aparicio
Luis Aparicio
Some phenomenological aspects of Type IIB/F-theory string compactifications
159 pages, 51 figures. PhD thesis
null
null
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This article is the PhD thesis of the author. It is focused on Type II compactifications because of the potential for the construction of realistic MSSM-like compactifications. In particular we concentrate in Type IIB Calabi-Yau orientifolds and its non-perturbative realization: F-theory. These sort of models, have a...
[ { "created": "Mon, 1 Oct 2012 10:18:54 GMT", "version": "v1" } ]
2012-10-02
[ [ "Aparicio", "Luis", "" ] ]
This article is the PhD thesis of the author. It is focused on Type II compactifications because of the potential for the construction of realistic MSSM-like compactifications. In particular we concentrate in Type IIB Calabi-Yau orientifolds and its non-perturbative realization: F-theory. These sort of models, have att...
1102.4713
Jurjen Koksma
Jurjen F. Koksma, Tomislav Prokopec, Michael G. Schmidt
Decoherence in an Interacting Quantum Field Theory: Thermal Case
36 pages, 22 figures
Phys.Rev.D83:085011,2011
10.1103/PhysRevD.83.085011
null
hep-th astro-ph.CO gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the decoherence of a renormalised quantum field theoretical system. We consider our novel correlator approach to decoherence where entropy is generated by neglecting observationally inaccessible correlators. Using out-of-equilibrium field theory techniques at finite temperatures, we show that the Gaussian vo...
[ { "created": "Wed, 23 Feb 2011 11:09:59 GMT", "version": "v1" } ]
2011-04-22
[ [ "Koksma", "Jurjen F.", "" ], [ "Prokopec", "Tomislav", "" ], [ "Schmidt", "Michael G.", "" ] ]
We study the decoherence of a renormalised quantum field theoretical system. We consider our novel correlator approach to decoherence where entropy is generated by neglecting observationally inaccessible correlators. Using out-of-equilibrium field theory techniques at finite temperatures, we show that the Gaussian von ...
0711.3448
Joel Shapiro
Joel A. Shapiro
Reminiscence on the Birth of String Theory
Invited Contribution to "The Birth of String Theory" Commemorative Volume. 12 pages, 2 figures. Minor content revision
null
null
null
hep-th
null
These are my personal impressions of the environment in which string theory was born, and what the important developments affecting my work were during the hadronic string era, 1968-1974. I discuss my motivations and concerns at the time, particularly in my work on loop amplitudes and on closed strings.
[ { "created": "Wed, 21 Nov 2007 20:57:45 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2007 18:15:56 GMT", "version": "v2" } ]
2007-12-19
[ [ "Shapiro", "Joel A.", "" ] ]
These are my personal impressions of the environment in which string theory was born, and what the important developments affecting my work were during the hadronic string era, 1968-1974. I discuss my motivations and concerns at the time, particularly in my work on loop amplitudes and on closed strings.
1206.2267
Victor Afonso
Diego Julio Cirilo-Lombardo and Victor I. Afonso
Information metric from Riemannian superspaces
12 pages, no figures
Phys.Lett.A376 (2012) 3599
10.1016/j.physleta.2012.10.045
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Fisher's information metric is introduced in order to find the real meaning of the probability distribution in classical and quantum systems described by Riemaniann non-degenerated superspaces. In particular, the physical r\^{o}le played by the coefficients $\mathbf{a}$ and $\mathbf{a}^\ast$ of the pure fermionic...
[ { "created": "Mon, 11 Jun 2012 15:52:45 GMT", "version": "v1" } ]
2012-12-04
[ [ "Cirilo-Lombardo", "Diego Julio", "" ], [ "Afonso", "Victor I.", "" ] ]
The Fisher's information metric is introduced in order to find the real meaning of the probability distribution in classical and quantum systems described by Riemaniann non-degenerated superspaces. In particular, the physical r\^{o}le played by the coefficients $\mathbf{a}$ and $\mathbf{a}^\ast$ of the pure fermionic p...
2108.09281
Federico Galli
Alice Bernamonti, Francesco Bigazzi, Davide Billo, Lapo Faggi, Federico Galli
Holographic and QFT Complexity with angular momentum
82 pages, 29 figures. v2: references added, minor typos corrected, published version
null
10.1007/JHEP11(2021)037
null
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation for two dimensional states du...
[ { "created": "Fri, 20 Aug 2021 17:18:46 GMT", "version": "v1" }, { "created": "Mon, 8 Nov 2021 20:59:20 GMT", "version": "v2" } ]
2021-11-10
[ [ "Bernamonti", "Alice", "" ], [ "Bigazzi", "Francesco", "" ], [ "Billo", "Davide", "" ], [ "Faggi", "Lapo", "" ], [ "Galli", "Federico", "" ] ]
We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation for two dimensional states dual...
1901.02025
Tokiro Numasawa
Tokiro Numasawa
Late Time Quantum Chaos of pure states in the SYK model
5 pages (+appendices), revtex. v2: comments and references are added
Phys. Rev. D 100, 126017 (2019)
10.1103/PhysRevD.100.126017
OU-HET 992
hep-th cond-mat.dis-nn cond-mat.str-el nlin.CD quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this letter, we study the return amplitude, which is the overlap between the initial state and the time evolved state, in the Sachdev-Ye-Kitaev (SYK) model. Initial states are taken to be product states in a spin basis. We numerically study the return amplitude by exactly diagonalizing the Hamiltonian. We also der...
[ { "created": "Mon, 7 Jan 2019 19:00:12 GMT", "version": "v1" }, { "created": "Wed, 16 Jan 2019 23:07:50 GMT", "version": "v2" } ]
2019-12-25
[ [ "Numasawa", "Tokiro", "" ] ]
In this letter, we study the return amplitude, which is the overlap between the initial state and the time evolved state, in the Sachdev-Ye-Kitaev (SYK) model. Initial states are taken to be product states in a spin basis. We numerically study the return amplitude by exactly diagonalizing the Hamiltonian. We also deriv...
hep-th/0008220
Francesco Fucito
F.Fucito
Multi-Instanton Calculus in Supersymmetric Theories
3 pages, uses ws-p10x7.cls, talk delivered at ICHEP 2000 in Osaka
null
null
null
hep-th
null
In this talk I review some recent results concerning multi-instanton calculus in supersymmetric field theories. More in detail, I will show how these computations can be efficiently performed using the formalism of topological field theories.
[ { "created": "Tue, 29 Aug 2000 11:40:48 GMT", "version": "v1" } ]
2007-05-23
[ [ "Fucito", "F.", "" ] ]
In this talk I review some recent results concerning multi-instanton calculus in supersymmetric field theories. More in detail, I will show how these computations can be efficiently performed using the formalism of topological field theories.
0910.1309
Nelson R. F. Braga
C. A. Ballon Bayona, Henrique Boschi-Filho, Nelson R.F. Braga
Deep Inelastic Scattering in Holographic AdS/QCD Models
Talk presented by NRFB at Light Cone 2009: Relativistic Hadronic and Particle Physics, 8-13 Jul 2009, Sao Jose dos Campos, Brazil
Nucl.Phys.Proc.Suppl.199:97-102,2010
10.1016/j.nuclphysbps.2010.02.011
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review the description of deep inelastic scattering using some AdS/QCD phenomenological models.
[ { "created": "Wed, 7 Oct 2009 16:36:17 GMT", "version": "v1" } ]
2014-11-20
[ [ "Bayona", "C. A. Ballon", "" ], [ "Boschi-Filho", "Henrique", "" ], [ "Braga", "Nelson R. F.", "" ] ]
We review the description of deep inelastic scattering using some AdS/QCD phenomenological models.
1201.2924
Diego Marques
Mariana Gra\~na and Diego Marques
Gauged Double Field Theory
Minor changes, references added
JHEP04(2012)020
10.1007/JHEP04(2012)020
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but not necessary. We then analyze compactifications of DFT on twisted double tor...
[ { "created": "Fri, 13 Jan 2012 19:43:12 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 2012 10:39:55 GMT", "version": "v2" } ]
2012-04-24
[ [ "Graña", "Mariana", "" ], [ "Marques", "Diego", "" ] ]
We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but not necessary. We then analyze compactifications of DFT on twisted double tori ...
1606.09260
Dan Xie
Tristan C. Collins, Dan Xie, Shing-Tung Yau
K stability and stability of chiral ring
22 pages, 4 figures
null
null
null
hep-th math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define a notion of stability for chiral ring of four dimensional N=1 theory by introducing test chiral rings and generalized a maximization. We conjecture that a chiral ring is the chiral ring of a superconformal field theory if and only if it is stable. We then study N=1 field theory derived from D3 branes probin...
[ { "created": "Wed, 29 Jun 2016 20:00:46 GMT", "version": "v1" } ]
2016-07-01
[ [ "Collins", "Tristan C.", "" ], [ "Xie", "Dan", "" ], [ "Yau", "Shing-Tung", "" ] ]
We define a notion of stability for chiral ring of four dimensional N=1 theory by introducing test chiral rings and generalized a maximization. We conjecture that a chiral ring is the chiral ring of a superconformal field theory if and only if it is stable. We then study N=1 field theory derived from D3 branes probing ...
hep-th/9907181
Sardanashvily Gennadi
L.Mangiarotti and G.Sardanashvily
The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism
10 pages, LaTeX
Mod.Phys.Lett. A14 (1999) 2201-2210
10.1142/S0217732399002273
null
hep-th
null
We show that, in the framework of covariant Hamiltonian field theory, a degenerate almost regular quadratic Lagrangian $L$ admits a complete set of non-degenerate Hamiltonian forms such that solutions of the corresponding Hamilton equations, which live in the Lagrangian constraint space, exhaust solutions of the Eule...
[ { "created": "Fri, 23 Jul 1999 15:44:21 GMT", "version": "v1" } ]
2009-10-31
[ [ "Mangiarotti", "L.", "" ], [ "Sardanashvily", "G.", "" ] ]
We show that, in the framework of covariant Hamiltonian field theory, a degenerate almost regular quadratic Lagrangian $L$ admits a complete set of non-degenerate Hamiltonian forms such that solutions of the corresponding Hamilton equations, which live in the Lagrangian constraint space, exhaust solutions of the Euler-...
2102.10805
Klaas Parmentier
Klaas Parmentier
Mass and spin for classical strings in $dS_3$
v2 -- 38 pages, 9 figures -- references added
null
10.1007/JHEP05(2021)277
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate that all rigidly rotating strings with center of mass at the origin of the $dS_3$ static patch satisfy the Higuchi bound. This extends the observation of Noumi et al. for the open GKP-like string to all solutions of the Larsen-Sanchez class. We argue that strings violating the bound end up expanding to...
[ { "created": "Mon, 22 Feb 2021 07:04:13 GMT", "version": "v1" }, { "created": "Fri, 23 Apr 2021 21:23:17 GMT", "version": "v2" } ]
2021-06-04
[ [ "Parmentier", "Klaas", "" ] ]
We demonstrate that all rigidly rotating strings with center of mass at the origin of the $dS_3$ static patch satisfy the Higuchi bound. This extends the observation of Noumi et al. for the open GKP-like string to all solutions of the Larsen-Sanchez class. We argue that strings violating the bound end up expanding towa...
hep-th/9406150
Byungbae Kim
Byungbae Kim
Super W-Symmetries, Covariantly Constant Forms And Duality Transformations
10 pages, Latex
Phys.Lett. B335 (1994) 51-55
10.1016/0370-2693(94)91557-1
ITP-SB-94-25
hep-th
null
On a supersymmetric sigma model the covariantly constant forms are related to the conserved currents that are generators of a super W-algebra extending the superconformal algebra. The existence of covariantly constant forms restricts the holonomy group of the manifold. Via duality transformation we get new covariantl...
[ { "created": "Wed, 22 Jun 1994 19:39:15 GMT", "version": "v1" } ]
2009-10-28
[ [ "Kim", "Byungbae", "" ] ]
On a supersymmetric sigma model the covariantly constant forms are related to the conserved currents that are generators of a super W-algebra extending the superconformal algebra. The existence of covariantly constant forms restricts the holonomy group of the manifold. Via duality transformation we get new covariantly ...
0907.1079
Paulo Assis
Paulo E. G. Assis and Andreas Fring
From real fields to complex Calogero particles
17 pages, 2 figures
J. Phys. A: Math. Theor. 42 (2009) 425206 (14pp)
10.1088/1751-8113/42/42/425206
null
hep-th math-ph math.MP nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a novel procedure to obtain complex PT-symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilities for complex systems to arise from real nonlinear field equations. We exemplify this procedure for the Boussinesq equation and demonstr...
[ { "created": "Mon, 6 Jul 2009 19:53:57 GMT", "version": "v1" } ]
2009-10-16
[ [ "Assis", "Paulo E. G.", "" ], [ "Fring", "Andreas", "" ] ]
We provide a novel procedure to obtain complex PT-symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilities for complex systems to arise from real nonlinear field equations. We exemplify this procedure for the Boussinesq equation and demonstrat...
1310.3752
Evgeny Sobko
Ian Balitsky (Jefferson Lab & Old Dominion U.), Vladimir Kazakov (Ecole Normale Superieure & Paris U., VI-VII), Evgeny Sobko (Ecole Normale Superieure)
Two-point correlator of twist-2 light-ray operators in N=4 SYM in BFKL approximation
32 pages, 9 figures
null
null
LPT ENS-13/20
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We generalize local operators of the leading twist-2 of N=4 SYM theory to the case of complex Lorentz spin j using principal series representation of sl(2,R). We give the direct computation of correlation function of two such non-local operators in the BFKL regime when j -> 1. The correlator appears to have the expec...
[ { "created": "Mon, 14 Oct 2013 17:19:49 GMT", "version": "v1" } ]
2013-10-15
[ [ "Balitsky", "Ian", "", "Jefferson Lab & Old Dominion U." ], [ "Kazakov", "Vladimir", "", "Ecole Normale Superieure & Paris U., VI-VII" ], [ "Sobko", "Evgeny", "", "Ecole Normale\n Superieure" ] ]
We generalize local operators of the leading twist-2 of N=4 SYM theory to the case of complex Lorentz spin j using principal series representation of sl(2,R). We give the direct computation of correlation function of two such non-local operators in the BFKL regime when j -> 1. The correlator appears to have the expecte...
hep-th/0203024
Emil Nissimov
Eduardo Guendelman and Alexander Kaganovich (Ben- Gurion Univ., Beer-Sheva), Emil Nissimov and Svetlana Pacheva (Inst. for Nuclear Research and Nuclear Energy, Sofia)
String and Brane Models with Spontaneously/Dynamically Induced Tension
LaTeX-2e, 15 pages; Hamiltonian treatment improved, 1 ref. added, typos corrected
Phys.Rev. D66 (2002) 046003
10.1103/PhysRevD.66.046003
BGU/Mar-02/01, INRNE-03-01
hep-th
null
We study in some detail the properties of a previously proposed new class of string and brane models whose world-sheet (world-volume) actions are built with a modified reparametrization-invariant measure of integration and which do not contain any ad hoc dimensionfull parameters. The ratio of the new and the standard...
[ { "created": "Mon, 4 Mar 2002 07:56:26 GMT", "version": "v1" }, { "created": "Tue, 12 Mar 2002 18:12:36 GMT", "version": "v2" } ]
2009-11-07
[ [ "Guendelman", "Eduardo", "", "Ben- Gurion Univ.,\n Beer-Sheva" ], [ "Kaganovich", "Alexander", "", "Ben- Gurion Univ.,\n Beer-Sheva" ], [ "Nissimov", "Emil", "", "Inst. for Nuclear Research\n and Nuclear Energy, Sofia" ], [ "Pacheva", "Svetlan...
We study in some detail the properties of a previously proposed new class of string and brane models whose world-sheet (world-volume) actions are built with a modified reparametrization-invariant measure of integration and which do not contain any ad hoc dimensionfull parameters. The ratio of the new and the standard R...
1208.3521
Kei-Ichi Kondo
Kei-Ichi Kondo
A nonperturbative construction of massive Yang-Mills fields without Higgs fields
10 pages, no figure, sec.V is added, references updated, a version published in Phys.Rev.D
null
10.1103/PhysRevD.87.025008
CHIBA-EP-195
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In order to understand the so-called decoupling solution for gluon and ghost propagators in QCD, we give a nonperturbative construction of a massive vector field describing a non-Abelian massive spin-one particle, which has the correct physical degrees of freedom and is invariant under a modified Becchi-Rouet-Stora-T...
[ { "created": "Fri, 17 Aug 2012 02:54:02 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2012 07:10:13 GMT", "version": "v2" }, { "created": "Fri, 11 Jan 2013 12:34:39 GMT", "version": "v3" } ]
2015-06-11
[ [ "Kondo", "Kei-Ichi", "" ] ]
In order to understand the so-called decoupling solution for gluon and ghost propagators in QCD, we give a nonperturbative construction of a massive vector field describing a non-Abelian massive spin-one particle, which has the correct physical degrees of freedom and is invariant under a modified Becchi-Rouet-Stora-Tyu...
hep-th/9810195
Chong-Sun Chu
Adel Bilal and Chong-Sun Chu
D3 Brane(s) in AdS_5 x S^5 and N =4,2,1 SYM
LaTex, 25 pages, no figure. Two references added and discussion on quantum corrections clarified
Nucl.Phys. B547 (1999) 179-200
10.1016/S0550-3213(99)00116-9
NEIP-98-013
hep-th
null
Recently, Douglas and Taylor proposed to identify the Higgs vev of the Coulomb branch of the 4 dimensional N=4 super Yang-Mills theory with the positions of D3 branes in the AdS_5 x S^5 string theory. We extend this identification to more general configurations that preserve less supersymmetry. We show that a single ...
[ { "created": "Fri, 23 Oct 1998 16:58:33 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 1998 18:47:15 GMT", "version": "v2" } ]
2009-10-31
[ [ "Bilal", "Adel", "" ], [ "Chu", "Chong-Sun", "" ] ]
Recently, Douglas and Taylor proposed to identify the Higgs vev of the Coulomb branch of the 4 dimensional N=4 super Yang-Mills theory with the positions of D3 branes in the AdS_5 x S^5 string theory. We extend this identification to more general configurations that preserve less supersymmetry. We show that a single D3...
hep-th/0701124
Robert Finkelstein j
Robert J. Finkelstein
A Field Theory of Knotted Solitons
21 pages, LaTex document
null
null
UCLA/07/TEP/2
hep-th
null
The conjecture that the elementary fermions are knotted flux tubes permit the construction of a phenomenology that is not accessible from the standard electroweak theory. In order to carry these ideas further we have attempted to formulate the elements of a field theory in which local SU(2) x U(1), the symmetry group...
[ { "created": "Fri, 12 Jan 2007 22:03:27 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2007 17:39:37 GMT", "version": "v2" } ]
2007-05-23
[ [ "Finkelstein", "Robert J.", "" ] ]
The conjecture that the elementary fermions are knotted flux tubes permit the construction of a phenomenology that is not accessible from the standard electroweak theory. In order to carry these ideas further we have attempted to formulate the elements of a field theory in which local SU(2) x U(1), the symmetry group o...