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1107.4846
Xin-Zhou Li
Xiang-hua Zhai, Xin-zhou Li and Chao-Jun Feng
Casimir effect with a helix torus boundary condition
11 pages, 3 figures, to be published in Mod. Phys. Lett. A
null
10.1142/S0217732311036309
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use the generalized Chowla-Selberg formula to consider the Casimir effect of a scalar field with a helix torus boundary condition in the flat ($D+1$)-dimensional spacetime. We obtain the exact results of the Casimir energy density and pressure for any $D$ for both massless and massive scalar fields. The numerica...
[ { "created": "Mon, 25 Jul 2011 05:56:56 GMT", "version": "v1" } ]
2015-05-28
[ [ "Zhai", "Xiang-hua", "" ], [ "Li", "Xin-zhou", "" ], [ "Feng", "Chao-Jun", "" ] ]
We use the generalized Chowla-Selberg formula to consider the Casimir effect of a scalar field with a helix torus boundary condition in the flat ($D+1$)-dimensional spacetime. We obtain the exact results of the Casimir energy density and pressure for any $D$ for both massless and massive scalar fields. The numerical ca...
hep-th/9912220
Raimar Wulkenhaar
Raimar Wulkenhaar (CPT Marseille)
On Feynman graphs as elements of a Hopf algebra
11 pages, LaTeX2e, 11 eps figures. Published in `Quantum groups, noncommutative geometry and fundamental physical interactions', eds D. Kastler et al, Nova Science Publishers (1999) 233-242. (typos corrected and references updated; written in October 1998, somewhat out of date, but hopefully still useful)
null
null
CPT-99/P.3784
hep-th
null
We review Kreimer's construction of a Hopf algebra associated to the Feynman graphs of a perturbative quantum field theory.
[ { "created": "Wed, 22 Dec 1999 13:30:40 GMT", "version": "v1" } ]
2007-05-23
[ [ "Wulkenhaar", "Raimar", "", "CPT Marseille" ] ]
We review Kreimer's construction of a Hopf algebra associated to the Feynman graphs of a perturbative quantum field theory.
2111.03037
Shun-Qing Zhang
Yu-tin Huang, Ryota Kojima, Congkao Wen, Shun-Qing Zhang
The orthogonal momentum amplituhedron and ABJM amplitudes
typos corrected, JHEP published version
null
10.1007/JHEP01(2022)141
QMUL-PH-21-48
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we introduce the momentum space amplituhedron for tree-level scattering amplitudes of ABJM theory. We demonstrate that the scattering amplitude can be identified as the canonical form on the space given by the product of positive orthogonal Grassmannian and the moment curve. The co-dimension one bounda...
[ { "created": "Thu, 4 Nov 2021 17:44:43 GMT", "version": "v1" }, { "created": "Fri, 28 Jan 2022 18:20:07 GMT", "version": "v2" } ]
2022-02-09
[ [ "Huang", "Yu-tin", "" ], [ "Kojima", "Ryota", "" ], [ "Wen", "Congkao", "" ], [ "Zhang", "Shun-Qing", "" ] ]
In this paper, we introduce the momentum space amplituhedron for tree-level scattering amplitudes of ABJM theory. We demonstrate that the scattering amplitude can be identified as the canonical form on the space given by the product of positive orthogonal Grassmannian and the moment curve. The co-dimension one boundari...
2301.13029
Philip D. Mannheim
Philip D. Mannheim
Determining the normalization of the quantum field theory vacuum, with implications for quantum gravity
Expanded to 32 pages
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a standard quantum field theory the norm $\langle \Omega\vert \Omega\rangle$ of the vacuum state is taken to be finite. In this paper we provide a procedure, based on constructing an equivalent wave mechanics, for determining whether or not $\langle \Omega\vert \Omega\rangle$ actually is finite. We provide an exam...
[ { "created": "Mon, 30 Jan 2023 16:17:06 GMT", "version": "v1" }, { "created": "Wed, 1 Mar 2023 15:43:59 GMT", "version": "v2" }, { "created": "Fri, 14 Apr 2023 12:08:15 GMT", "version": "v3" }, { "created": "Mon, 29 May 2023 00:12:09 GMT", "version": "v4" } ]
2023-05-30
[ [ "Mannheim", "Philip D.", "" ] ]
In a standard quantum field theory the norm $\langle \Omega\vert \Omega\rangle$ of the vacuum state is taken to be finite. In this paper we provide a procedure, based on constructing an equivalent wave mechanics, for determining whether or not $\langle \Omega\vert \Omega\rangle$ actually is finite. We provide an exampl...
1807.01249
Loriano Bonora
L. Bonora, M. Cvitan, P. Dominis Prester, S. Giaccari, M. Paulisic, T. Stemberga
Axial gravity: a non-perturbative approach to split anomalies
43 pages, some additions in section 6.3 and 6.5 plus minor corrections
null
10.1140/epjc/s10052-018-6141-1
SISSA/26/2018/FISI, ZTF-EP-18-02
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this model corresponds to a theory of chiral fermions coupled to (ordinary) gravity...
[ { "created": "Tue, 3 Jul 2018 15:48:38 GMT", "version": "v1" }, { "created": "Wed, 4 Jul 2018 18:39:54 GMT", "version": "v2" } ]
2018-09-26
[ [ "Bonora", "L.", "" ], [ "Cvitan", "M.", "" ], [ "Prester", "P. Dominis", "" ], [ "Giaccari", "S.", "" ], [ "Paulisic", "M.", "" ], [ "Stemberga", "T.", "" ] ]
In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this model corresponds to a theory of chiral fermions coupled to (ordinary) gravity. ...
hep-th/0010276
Tony Gherghetta
Tony Gherghetta
Localizing Gravity on a 3-brane in Higher Dimensions
3 pages, Talk given at DPF 2000, Columbus, Ohio, 9-12 Aug 2000
Int.J.Mod.Phys. A16S1C (2001) 943-946
10.1142/S0217751X01008564
UNIL-IPT-00-24
hep-th
null
We present metric solutions in six and higher dimensions with a bulk cosmological constant, where gravity is localized on a 3-brane. The corrections to four-dimensional gravity from the bulk continuum modes are power-law suppressed. Furthermore, the introduction of a bulk ``hedgehog'' magnetic field leads to a regula...
[ { "created": "Mon, 30 Oct 2000 15:43:44 GMT", "version": "v1" } ]
2009-10-31
[ [ "Gherghetta", "Tony", "" ] ]
We present metric solutions in six and higher dimensions with a bulk cosmological constant, where gravity is localized on a 3-brane. The corrections to four-dimensional gravity from the bulk continuum modes are power-law suppressed. Furthermore, the introduction of a bulk ``hedgehog'' magnetic field leads to a regular ...
1609.09515
Luis Apolo
Luis Apolo, S. F. Hassan and Anders Lundkvist
Gauge and global symmetries of the candidate partially massless bimetric gravity
18 pages; v2: corrected typos and clarified relationship to previous work, matches published version
Phys. Rev. D 94, 124055 (2016)
10.1103/PhysRevD.94.124055
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we investigate a particular ghost-free bimetric theory that exhibits the partially massless (PM) symmetry at quadratic order. At this order the global SO(1,4) symmetry of the theory is enhanced to SO(1,5). We show that this global symmetry becomes inconsistent at cubic order, in agreement with a previou...
[ { "created": "Thu, 29 Sep 2016 20:19:48 GMT", "version": "v1" }, { "created": "Sun, 1 Jan 2017 14:41:39 GMT", "version": "v2" } ]
2017-01-03
[ [ "Apolo", "Luis", "" ], [ "Hassan", "S. F.", "" ], [ "Lundkvist", "Anders", "" ] ]
In this paper we investigate a particular ghost-free bimetric theory that exhibits the partially massless (PM) symmetry at quadratic order. At this order the global SO(1,4) symmetry of the theory is enhanced to SO(1,5). We show that this global symmetry becomes inconsistent at cubic order, in agreement with a previous ...
1404.7521
Kazuya Yonekura
Dan Xie, Kazuya Yonekura
The moduli space of vacua of N=2 class S theories
33 pages, 4 figures
null
10.1007/JHEP10(2014)134
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop a systematic method to describe the moduli space of vacua of four dimensional $\mathcal{N}=2$ class ${\cal S}$ theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed br...
[ { "created": "Tue, 29 Apr 2014 20:39:15 GMT", "version": "v1" } ]
2015-06-19
[ [ "Xie", "Dan", "" ], [ "Yonekura", "Kazuya", "" ] ]
We develop a systematic method to describe the moduli space of vacua of four dimensional $\mathcal{N}=2$ class ${\cal S}$ theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed bran...
2407.08913
Gauri Batra
Gauri Batra
Timelike boundaries in de Sitter JT gravity and the Gao-Wald theorem
19 pages, 10 figures plus appendices. v2: added references, minor revisions and one figure
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Gao-Wald theorem says that de Sitter spacetime reacts to a positive energy perturbation by getting "taller." How does this change in the presence of timelike boundaries? We study this question in two-dimensional de Sitter JT gravity coupled to conformal matter. The effect of the boundaries has its roots in quantu...
[ { "created": "Fri, 12 Jul 2024 01:10:24 GMT", "version": "v1" }, { "created": "Tue, 16 Jul 2024 16:15:31 GMT", "version": "v2" } ]
2024-07-17
[ [ "Batra", "Gauri", "" ] ]
The Gao-Wald theorem says that de Sitter spacetime reacts to a positive energy perturbation by getting "taller." How does this change in the presence of timelike boundaries? We study this question in two-dimensional de Sitter JT gravity coupled to conformal matter. The effect of the boundaries has its roots in quantum ...
0704.3544
Christoph Sieg
Christoph Sieg
Holographic flavour in the N=1 Polchinski-Strassler background
LaTeX, 46 pages, 6 figures, 2 tables
JHEP0708:031,2007
10.1088/1126-6708/2007/08/031
IFUM-891-FT
hep-th
null
To endow the N=1* SYM theory with quarks, we embed D7-brane probes into its gravity dual, known as the Polchinski-Strassler background. The non-vanishing 3-form flux G_3 in the background is dual to mass terms for the three adjoint chiral superfields, deforming the N=4 SYM theory to the N=1* SYM theory. We keep its t...
[ { "created": "Thu, 26 Apr 2007 14:21:32 GMT", "version": "v1" } ]
2008-11-26
[ [ "Sieg", "Christoph", "" ] ]
To endow the N=1* SYM theory with quarks, we embed D7-brane probes into its gravity dual, known as the Polchinski-Strassler background. The non-vanishing 3-form flux G_3 in the background is dual to mass terms for the three adjoint chiral superfields, deforming the N=4 SYM theory to the N=1* SYM theory. We keep its thr...
hep-th/0610039
Anne Kleppe
A. F. Kleppe, Chris Wainwright
Super coset space geometry
49 pages, 1 figure, AFK previously published under the name A. F. Schunck
J.Math.Phys.48:053511,2007
10.1063/1.2735814
DAMTP-2006-83
hep-th gr-qc
null
Super coset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of super coset spaces with particular focus on the way the geometrical structures of the super coset space G/H are inherited from the super Lie group G. The isometries o...
[ { "created": "Tue, 3 Oct 2006 09:21:04 GMT", "version": "v1" } ]
2008-11-26
[ [ "Kleppe", "A. F.", "" ], [ "Wainwright", "Chris", "" ] ]
Super coset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of super coset spaces with particular focus on the way the geometrical structures of the super coset space G/H are inherited from the super Lie group G. The isometries of ...
hep-th/9205105
Jeremy Schiff
Jeremy Schiff
The KdV Action and Deformed Minimal Models
15 pages, no figures, plain tex. Revised version - a few points clarified. IASSNS-HEP-92/28
null
null
null
hep-th
null
An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures derived from this action. Quantization of this theory can be carr...
[ { "created": "Thu, 28 May 1992 13:49:18 GMT", "version": "v1" }, { "created": "Tue, 6 Oct 1992 18:14:25 GMT", "version": "v2" } ]
2008-02-03
[ [ "Schiff", "Jeremy", "" ] ]
An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures derived from this action. Quantization of this theory can be carrie...
2006.05638
Arkaprava Mukherjee
Arkaprava Mukherjee and Shinobu Hikami
Spectral Form Factor for Time-dependent Matrix model
38 pages,16 figures
J. High Energ. Phys. 2021, 71 (2021)
10.1007/JHEP03(2021)071
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size $N$. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heise...
[ { "created": "Wed, 10 Jun 2020 03:27:35 GMT", "version": "v1" }, { "created": "Sun, 18 Oct 2020 15:58:17 GMT", "version": "v2" } ]
2021-03-09
[ [ "Mukherjee", "Arkaprava", "" ], [ "Hikami", "Shinobu", "" ] ]
The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size $N$. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenb...
2103.15248
Rodrigo de Le\'on Ard\'on
Rodrigo de Le\'on Ard\'on
Conformal quantum mechanics as a Floquet-Dirac system
25 pages, 1 table, 4 figures, v.2 references and possible relation with higher spin symmetries added
null
null
null
hep-th cond-mat.mes-hall gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Conformal quantum mechanics has been proposed to be the CFT$_1$ dual to AdS$_2$. The $N$-point correlation function that satisfy conformal constraints have been constructed from a non-conformal vacuum and the insertion of a non-primary operator. The main goal of this paper is to find an interpretation of this oddness...
[ { "created": "Sun, 28 Mar 2021 23:47:33 GMT", "version": "v1" }, { "created": "Thu, 3 Jun 2021 20:11:54 GMT", "version": "v2" } ]
2021-06-07
[ [ "Ardón", "Rodrigo de León", "" ] ]
Conformal quantum mechanics has been proposed to be the CFT$_1$ dual to AdS$_2$. The $N$-point correlation function that satisfy conformal constraints have been constructed from a non-conformal vacuum and the insertion of a non-primary operator. The main goal of this paper is to find an interpretation of this oddness. ...
2110.15306
Xing Huang
Xing Huang and Binchao Zhang
Growth of a renormalized operator as a probe of chaos
20 pages, 3 figures; v2: typos fixed, published version
null
10.1155/2022/9216427
null
hep-th quant-ph
http://creativecommons.org/licenses/by/4.0/
We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first is a MERA-li...
[ { "created": "Thu, 28 Oct 2021 17:20:17 GMT", "version": "v1" }, { "created": "Sat, 12 Nov 2022 05:51:54 GMT", "version": "v2" } ]
2022-11-15
[ [ "Huang", "Xing", "" ], [ "Zhang", "Binchao", "" ] ]
We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first is a MERA-like...
0903.3970
Daniele Oriti
Daniele Oriti
Emergent non-commutative matter fields from Group Field Theory models of quantum spacetime
13 pages, no figures; uses JPConf style; contribution to the proceedings of the D.I.C.E. 2008 workshop
J.Phys.Conf.Ser.174:012047,2009
10.1088/1742-6596/174/1/012047
AEI-2009-030
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We offer a perspective on some recent results obtained in the context of the group field theory approach to quantum gravity, on top of reviewing them briefly. These concern a natural mechanism for the emergence of non-commutative field theories for matter directly from the GFT action, in both 3 and 4 dimensions and i...
[ { "created": "Mon, 23 Mar 2009 21:35:24 GMT", "version": "v1" } ]
2009-07-24
[ [ "Oriti", "Daniele", "" ] ]
We offer a perspective on some recent results obtained in the context of the group field theory approach to quantum gravity, on top of reviewing them briefly. These concern a natural mechanism for the emergence of non-commutative field theories for matter directly from the GFT action, in both 3 and 4 dimensions and in ...
0906.2524
Yasuhiro Abe
Yasuhiro Abe
Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
30 pages; v2,3. references added + minor changes; v4. published version
Nucl.Phys.B825:242-267,2010
10.1016/j.nuclphysb.2009.09.026
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a notion of holonomy in twistor space and construct a holonomy operator by use of a spinor-momenta formalism in twistor space. The holonomy operator gives a monodromy representation of the Knizhnik-Zamolodchikov (KZ) equation, which is mathematically equivalent to a linear representation of a braid group...
[ { "created": "Sun, 14 Jun 2009 10:32:20 GMT", "version": "v1" }, { "created": "Tue, 23 Jun 2009 08:24:42 GMT", "version": "v2" }, { "created": "Fri, 10 Jul 2009 09:11:01 GMT", "version": "v3" }, { "created": "Sat, 7 Nov 2009 05:01:16 GMT", "version": "v4" } ]
2009-11-09
[ [ "Abe", "Yasuhiro", "" ] ]
We introduce a notion of holonomy in twistor space and construct a holonomy operator by use of a spinor-momenta formalism in twistor space. The holonomy operator gives a monodromy representation of the Knizhnik-Zamolodchikov (KZ) equation, which is mathematically equivalent to a linear representation of a braid group. ...
hep-th/9301010
Alok Kumar
Abbas Ali and Alok Kumar
A New $N = 4$ Superconformal Algebra
10 pages, Latex, IP/BBSR/92-90
Mod.Phys.Lett. A8 (1993) 1527-1532
10.1142/S0217732393001252
null
hep-th
null
It is shown that the previously known $N=3$ and $N=4$ superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the later case, by a contraction which depends on the central term, we obtain a new $N=4$ superconformal algebra which contains an $SU(2)\times {U(1)}^4$ Kac-...
[ { "created": "Mon, 4 Jan 1993 13:06:16 GMT", "version": "v1" } ]
2015-06-26
[ [ "Ali", "Abbas", "" ], [ "Kumar", "Alok", "" ] ]
It is shown that the previously known $N=3$ and $N=4$ superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the later case, by a contraction which depends on the central term, we obtain a new $N=4$ superconformal algebra which contains an $SU(2)\times {U(1)}^4$ Kac-Mo...
1601.00482
Jan Louis
Jan Louis and Constantin Muranaka
Moduli spaces of AdS_5 vacua in N=2 supergravity
17 pages
null
10.1007/JHEP04(2016)178
ZMP-HH/16-01
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We determine the conditions for maximally supersymmetric AdS_5 vacua of five-dimensional gauged N=2 supergravity coupled to vector-, tensor- and hypermultiplets charged under an arbitrary gauge group. In particular, we show that the unbroken gauge group of the AdS_5 vacua has to contain an U(1)_R-factor. Moreover we ...
[ { "created": "Mon, 4 Jan 2016 12:43:28 GMT", "version": "v1" } ]
2016-05-25
[ [ "Louis", "Jan", "" ], [ "Muranaka", "Constantin", "" ] ]
We determine the conditions for maximally supersymmetric AdS_5 vacua of five-dimensional gauged N=2 supergravity coupled to vector-, tensor- and hypermultiplets charged under an arbitrary gauge group. In particular, we show that the unbroken gauge group of the AdS_5 vacua has to contain an U(1)_R-factor. Moreover we pr...
2208.09006
Herm\`es B\'elusca-Ma\"ito
Herm\`es B\'elusca-Ma\"ito (Department of Physics, University of Zagreb)
Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED
37 pages, 7 figures, 1 table; v2: Updated title, corrected typos, improved text, references added; v3: Text matching published version: improved study of "modified multiplicative renormalisation" setup in Section 3 and comparison with algebraic approach in Section 5, updated abstract and conclusion
JHEP 03 (2023) 202
10.1007/JHEP03(2023)202
ZTF-EP-22-03
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We c...
[ { "created": "Thu, 18 Aug 2022 18:00:22 GMT", "version": "v1" }, { "created": "Mon, 17 Oct 2022 21:58:14 GMT", "version": "v2" }, { "created": "Fri, 14 Apr 2023 23:31:21 GMT", "version": "v3" } ]
2023-04-18
[ [ "Bélusca-Maïto", "Hermès", "", "Department of Physics, University of\n Zagreb" ] ]
We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We com...
hep-th/0212001
Sergei Solodukhin
Sergey N. Solodukhin
Black hole production via quantum tunneling
Talk presented at the 3rd Sakharov International Conference on Physics, Moscow, June 2002; to appear in the proceedings of the conference
null
null
null
hep-th
null
Particles colliding at impact parameter much larger than the effective gravitational radius can not classically form a black hole and just scatter off the radial potential barrier separating the particles. We show that the process of the black hole production can still go quantum-mechanically via familiar mechanism o...
[ { "created": "Sat, 30 Nov 2002 12:44:49 GMT", "version": "v1" } ]
2007-05-23
[ [ "Solodukhin", "Sergey N.", "" ] ]
Particles colliding at impact parameter much larger than the effective gravitational radius can not classically form a black hole and just scatter off the radial potential barrier separating the particles. We show that the process of the black hole production can still go quantum-mechanically via familiar mechanism of ...
1305.7312
Yong-Wan Kim
Yong-Wan Kim, Yun Soo Myung, Young-Jai Park
BRST quantization of a sixth-order derivative scalar field theory
13 pages, 2 figures, version to appear in MPLA
null
10.1142/S0217732313501824
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study a sixth order derivative scalar field model in Minkowski spacetime as a toy model of higher-derivative critical gravity theories. This model is consistently quantized when using the Becchi-Rouet-Stora-Tyutin (BRST) quantization scheme even though it does not show gauge symmetry manifestly. Imposing a BRST qu...
[ { "created": "Fri, 31 May 2013 07:08:26 GMT", "version": "v1" }, { "created": "Thu, 14 Nov 2013 03:36:18 GMT", "version": "v2" } ]
2015-06-16
[ [ "Kim", "Yong-Wan", "" ], [ "Myung", "Yun Soo", "" ], [ "Park", "Young-Jai", "" ] ]
We study a sixth order derivative scalar field model in Minkowski spacetime as a toy model of higher-derivative critical gravity theories. This model is consistently quantized when using the Becchi-Rouet-Stora-Tyutin (BRST) quantization scheme even though it does not show gauge symmetry manifestly. Imposing a BRST quar...
0710.5688
Dmitry Galakhov
D. Galakhov
Self-Interaction and Regularization of Classical Electrodynamics in Higher Dimensions
10 pages
JETPLett.87:452-458,2008
10.1134/S0021364008080134
null
hep-th
null
The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these equations can be regularized. Relations between formulae for radiation and radiation...
[ { "created": "Tue, 30 Oct 2007 16:00:10 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2007 17:47:46 GMT", "version": "v2" }, { "created": "Wed, 7 Nov 2007 18:43:14 GMT", "version": "v3" } ]
2008-11-26
[ [ "Galakhov", "D.", "" ] ]
The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these equations can be regularized. Relations between formulae for radiation and radiation f...
0805.4738
Joakim Arnlind
Jens Hoppe
U(1) invariant Membranes and Singularities
6 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.
[ { "created": "Fri, 30 May 2008 12:18:08 GMT", "version": "v1" } ]
2008-06-02
[ [ "Hoppe", "Jens", "" ] ]
A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.
hep-th/0410197
Shunsuke Teraguchi
H. Kogetsu and S. Teraguchi
Massless Boundary Sine-Gordon Model Coupled to External Fields
11pages, LaTeX
JHEP0501:048,2005
10.1088/1126-6708/2005/01/048
KUNS-1938
hep-th
null
We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes (or rolling tachyon). We consider a similar action whose couplings are replaced with external fields depending on the boundary coordinate. Even in the presence of ...
[ { "created": "Tue, 19 Oct 2004 17:05:11 GMT", "version": "v1" } ]
2009-11-10
[ [ "Kogetsu", "H.", "" ], [ "Teraguchi", "S.", "" ] ]
We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes (or rolling tachyon). We consider a similar action whose couplings are replaced with external fields depending on the boundary coordinate. Even in the presence of th...
hep-th/0301027
Bayram Tekin
Vakif K. Onemli and Bayram Tekin
Kaluza-Klein Monopole in AdS Spacetime
14 pages, clarifying remarks added, to appear in Phys. Rev. D
Phys.Rev. D68 (2003) 064017
10.1103/PhysRevD.68.064017
UFIFT-HEP-02-37, BRX-TH-512
hep-th gr-qc
null
We construct analogs of the flat space Kaluza-Klein (KK) monopoles in locally Anti-de Sitter (AdS) spaces for $D \ge 5+1$. We show that, unlike the flat space KK monopole, there is no five dimensional static KK monopole in AdS that smoothly reduces to the flat space one as the cosmological constant goes to zero. Thus...
[ { "created": "Mon, 6 Jan 2003 20:50:56 GMT", "version": "v1" }, { "created": "Tue, 8 Jul 2003 16:22:29 GMT", "version": "v2" } ]
2009-11-10
[ [ "Onemli", "Vakif K.", "" ], [ "Tekin", "Bayram", "" ] ]
We construct analogs of the flat space Kaluza-Klein (KK) monopoles in locally Anti-de Sitter (AdS) spaces for $D \ge 5+1$. We show that, unlike the flat space KK monopole, there is no five dimensional static KK monopole in AdS that smoothly reduces to the flat space one as the cosmological constant goes to zero. Thus, ...
1211.4550
Paul McFadden
Adam Bzowski, Paul McFadden and Kostas Skenderis
Holography for inflation using conformal perturbation theory
44 pp, 3 figs
JHEP 1304 (2013) 047
10.1007/JHEP04(2013)047
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a precise and quantitative holographic description of a class of inflationary slow-roll models. The dual QFT is a deformation of a three-dimensional CFT by a nearly marginal operator, which, in the models we consider, generates an RG flow to a nearby IR fixed point. These models describe hilltop inflation,...
[ { "created": "Mon, 19 Nov 2012 20:17:53 GMT", "version": "v1" } ]
2013-08-28
[ [ "Bzowski", "Adam", "" ], [ "McFadden", "Paul", "" ], [ "Skenderis", "Kostas", "" ] ]
We provide a precise and quantitative holographic description of a class of inflationary slow-roll models. The dual QFT is a deformation of a three-dimensional CFT by a nearly marginal operator, which, in the models we consider, generates an RG flow to a nearby IR fixed point. These models describe hilltop inflation, w...
1703.05328
Sebastian Fischetti
Netta Engelhardt and Sebastian Fischetti
Causal Density Matrices
34+4 pages, 10 figures. v2: minor edits, references added. v3: minor typos corrected
Phys. Rev. D 95, 126012 (2017)
10.1103/PhysRevD.95.126012
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define a new construct in quantum field theory - the causal density matrix - obtained from the singularity structure of correlators of local operators. This object provides a necessary and sufficient condition for a quantum field theory state to have a holographic semiclassical dual causal geometry. By exploiting ...
[ { "created": "Wed, 15 Mar 2017 18:00:01 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2017 17:59:01 GMT", "version": "v2" }, { "created": "Wed, 21 Jun 2017 16:37:42 GMT", "version": "v3" } ]
2017-07-05
[ [ "Engelhardt", "Netta", "" ], [ "Fischetti", "Sebastian", "" ] ]
We define a new construct in quantum field theory - the causal density matrix - obtained from the singularity structure of correlators of local operators. This object provides a necessary and sufficient condition for a quantum field theory state to have a holographic semiclassical dual causal geometry. By exploiting th...
0910.5939
Yury Zinoviev M.
Yury M. Zinoviev
Electromagnetic Interaction Equations
19 pages
null
null
Report SMI - 09 - 117
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For the electromagnetic interaction of two particles the relativistic quantum mechanics equations are proposed. These equations are solved for the case when one particle has a small mass and moves freely. The initial wave functions are supposed to be concentrated at the coordinates origin. The energy spectrum of anot...
[ { "created": "Fri, 30 Oct 2009 18:34:12 GMT", "version": "v1" } ]
2009-11-02
[ [ "Zinoviev", "Yury M.", "" ] ]
For the electromagnetic interaction of two particles the relativistic quantum mechanics equations are proposed. These equations are solved for the case when one particle has a small mass and moves freely. The initial wave functions are supposed to be concentrated at the coordinates origin. The energy spectrum of anothe...
hep-th/0207153
Stefano Arnone
Stefano Arnone, Antonio Gatti and Tim R. Morris
A manifestly gauge invariant exact renormalization group
8 pages, 2 figures, talk presented at the fifth international Conference "RG 2002", Strba, Slovakia
null
null
SHEP 02-11
hep-th
null
A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements the effective cutoff, is naturally incorporated by embedding the theory into a...
[ { "created": "Tue, 16 Jul 2002 17:08:50 GMT", "version": "v1" } ]
2007-05-23
[ [ "Arnone", "Stefano", "" ], [ "Gatti", "Antonio", "" ], [ "Morris", "Tim R.", "" ] ]
A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements the effective cutoff, is naturally incorporated by embedding the theory into a s...
2108.07674
Nikolaos Tetradis
Nikolaos Tetradis (Athens U.)
De Sitter entropy as holographic entanglement entropy
7 pages, 2 figures, Contribution to the Proceedings of the 4th International Conference on Holography, String Theory and Discrete Approach, Hanoi, Vietnam, 2020
null
null
null
hep-th
http://creativecommons.org/licenses/by/4.0/
We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a UV cutoff. When the entangling surface coincides with t...
[ { "created": "Tue, 17 Aug 2021 15:15:15 GMT", "version": "v1" } ]
2021-08-18
[ [ "Tetradis", "Nikolaos", "", "Athens U." ] ]
We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a UV cutoff. When the entangling surface coincides with the...
1605.00563
Davide Cassani
Davide Cassani, Oscar de Felice, Michela Petrini, Charles Strickland-Constable, Daniel Waldram
Exceptional generalised geometry for massive IIA and consistent reductions
69 pages; v2: version published in JHEP
JHEP08(2016)074
10.1007/JHEP08(2016)074
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the Romans mass. We apply this new framework to consistent Kaluza-Klein reductions ...
[ { "created": "Mon, 2 May 2016 16:49:37 GMT", "version": "v1" }, { "created": "Wed, 17 Aug 2016 14:47:14 GMT", "version": "v2" } ]
2016-09-21
[ [ "Cassani", "Davide", "" ], [ "de Felice", "Oscar", "" ], [ "Petrini", "Michela", "" ], [ "Strickland-Constable", "Charles", "" ], [ "Waldram", "Daniel", "" ] ]
We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the Romans mass. We apply this new framework to consistent Kaluza-Klein reductions pr...
2008.09816
Mihaela-Andreea Baloi
Mihaela-Andreea Baloi, Cosmin Crucean, Diana Dumitrele
Z boson emission by a neutrino in de Sitter expanding universe
18 pages, 4 figures
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Production of Z bosons in emission processes by neutrinos in the expanding de Sitter universe is studied by using perturbative methods. The total probability and transition rate for the spontaneous emission of a Z boson by a neutrino is computed analytically, then we perform a graphical analysis in terms of the expan...
[ { "created": "Sat, 22 Aug 2020 11:34:03 GMT", "version": "v1" }, { "created": "Mon, 18 Apr 2022 10:56:04 GMT", "version": "v2" }, { "created": "Thu, 23 Nov 2023 15:59:42 GMT", "version": "v3" } ]
2023-11-27
[ [ "Baloi", "Mihaela-Andreea", "" ], [ "Crucean", "Cosmin", "" ], [ "Dumitrele", "Diana", "" ] ]
Production of Z bosons in emission processes by neutrinos in the expanding de Sitter universe is studied by using perturbative methods. The total probability and transition rate for the spontaneous emission of a Z boson by a neutrino is computed analytically, then we perform a graphical analysis in terms of the expansi...
1305.7249
Monica Guica
Monica Guica
Decrypting the warped black strings
20 pp
null
10.1007/JHEP11(2013)025
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a map for extracting the holographic meaning of the metric for a class of warped AdS_3 black strings in type IIB supergravity. Our choice of holographic data is based upon a general prescription due to Papadimitriou. With this choice, we find a holographic stress tensor that is both symmetric and conserved...
[ { "created": "Thu, 30 May 2013 20:29:52 GMT", "version": "v1" } ]
2015-06-16
[ [ "Guica", "Monica", "" ] ]
We propose a map for extracting the holographic meaning of the metric for a class of warped AdS_3 black strings in type IIB supergravity. Our choice of holographic data is based upon a general prescription due to Papadimitriou. With this choice, we find a holographic stress tensor that is both symmetric and conserved, ...
1905.11199
Aidan Chatwin-Davies
ChunJun Cao, Aidan Chatwin-Davies and Ashmeet Singh
How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?
Essay written for the Gravity Research Foundation 2019 Awards for Essays on Gravitation
Int. J. Mod. Phys. D Vol. 28, No. 14, 1944006 (2019)
10.1142/S0218271819440061
CALT-TH-2019-017
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many degrees of freedom may be localized to any given region of space. In this pap...
[ { "created": "Sat, 11 May 2019 18:38:11 GMT", "version": "v1" }, { "created": "Tue, 10 Dec 2019 15:51:24 GMT", "version": "v2" } ]
2019-12-11
[ [ "Cao", "ChunJun", "" ], [ "Chatwin-Davies", "Aidan", "" ], [ "Singh", "Ashmeet", "" ] ]
According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many degrees of freedom may be localized to any given region of space. In this paper...
1312.6687
Maxime Gabella
Ibrahima Bah, Maxime Gabella, Nick Halmagyi
Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
29 pages, 9 figures
null
10.1007/JHEP07(2014)131
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study probe M5-branes in N=1 AdS5 solutions of M-theory that arise from M5-branes wrapped on a Riemann surface. Using the BPS condition from kappa-symmetry, we classify supersymmetric probe M5-branes that extend along all of AdS5 and intersect the Riemann surface at points. These can be viewed as punctures in the ...
[ { "created": "Mon, 23 Dec 2013 21:00:05 GMT", "version": "v1" } ]
2015-06-18
[ [ "Bah", "Ibrahima", "" ], [ "Gabella", "Maxime", "" ], [ "Halmagyi", "Nick", "" ] ]
We study probe M5-branes in N=1 AdS5 solutions of M-theory that arise from M5-branes wrapped on a Riemann surface. Using the BPS condition from kappa-symmetry, we classify supersymmetric probe M5-branes that extend along all of AdS5 and intersect the Riemann surface at points. These can be viewed as punctures in the du...
1601.06746
Mario Neves Junior
Apollo V. Silva, E. M. C. Abreu, M. J. Neves
Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
18 pages, 3 figures
null
10.1142/S0217751X16500962
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a minimal length scale background. New operators are introduced and the Green fun...
[ { "created": "Mon, 25 Jan 2016 19:59:51 GMT", "version": "v1" } ]
2016-06-29
[ [ "Silva", "Apollo V.", "" ], [ "Abreu", "E. M. C.", "" ], [ "Neves", "M. J.", "" ] ]
The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a minimal length scale background. New operators are introduced and the Green funct...
2107.09065
Jakob Moritz
Mehmet Demirtas, Manki Kim, Liam McAllister, Jakob Moritz, Andres Rios-Tascon
A Cosmological Constant That is Too Small
6 pages. A more detailed analysis appears in our companion paper 2107.09064. v2: typo fixed, results unchanged; approximately matches version published in PRL
null
null
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a vacuum of string theory in which the magnitude of the vacuum energy is $< 10^{-123}$ in Planck units. Regrettably, the sign of the vacuum energy is negative, and some supersymmetry remains unbroken.
[ { "created": "Mon, 19 Jul 2021 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 11 Jan 2022 00:28:33 GMT", "version": "v2" } ]
2022-01-12
[ [ "Demirtas", "Mehmet", "" ], [ "Kim", "Manki", "" ], [ "McAllister", "Liam", "" ], [ "Moritz", "Jakob", "" ], [ "Rios-Tascon", "Andres", "" ] ]
We construct a vacuum of string theory in which the magnitude of the vacuum energy is $< 10^{-123}$ in Planck units. Regrettably, the sign of the vacuum energy is negative, and some supersymmetry remains unbroken.
hep-th/9212033
Constantin Bachas
C. Bachas
On the Breakdown of Perturbation Theory
(13 pages), CPTH/C209-1292 (Talk at the Kiev Conference on: Modern Problems in QFT, Strings and Quantum Gravity, June 1992)
Theor.Math.Phys.95:491-498,1993; Teor.Mat.Fiz.95:187-196,1993
10.1007/BF01017133
null
hep-th
null
The production of o(1/g^2) particles in a weakly-coupled theory is believed to be non-perturbatively suppressed. I comment on the prospects of (a) establishing this rigorously, and (b) estimating the effect to exponential accuracy semiclassically, by discussing two closely-related problems: the large-order behaviour ...
[ { "created": "Fri, 4 Dec 1992 18:07:56 GMT", "version": "v1" } ]
2010-11-01
[ [ "Bachas", "C.", "" ] ]
The production of o(1/g^2) particles in a weakly-coupled theory is believed to be non-perturbatively suppressed. I comment on the prospects of (a) establishing this rigorously, and (b) estimating the effect to exponential accuracy semiclassically, by discussing two closely-related problems: the large-order behaviour of...
2404.12799
Fotis Farakos
Fotis Farakos, Alex Kehagias, Nikolaos Liatsos
On Global Symmetries and Fayet-Iliopoulos Terms
17 pages
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We revisit the genuine Fayet-Iliopoulos terms of 4D N=1 supergravity. Such terms are commonly believed to preserve a global symmetry, and therefore they are in conflict with the principles of quantum gravity. However, we find that generically there do exist supersymmetric terms that break explicitly the specific glob...
[ { "created": "Fri, 19 Apr 2024 11:29:07 GMT", "version": "v1" } ]
2024-04-22
[ [ "Farakos", "Fotis", "" ], [ "Kehagias", "Alex", "" ], [ "Liatsos", "Nikolaos", "" ] ]
We revisit the genuine Fayet-Iliopoulos terms of 4D N=1 supergravity. Such terms are commonly believed to preserve a global symmetry, and therefore they are in conflict with the principles of quantum gravity. However, we find that generically there do exist supersymmetric terms that break explicitly the specific global...
hep-th/0403049
Klaus Behrndt
Klaus Behrndt, Mirjam Cvetic
General N = 1 Supersymmetric Flux Vacua of (Massive) Type IIA String Theory
4 pages
Phys.Rev.Lett.95:021601,2005
10.1103/PhysRevLett.95.021601
null
hep-th hep-ph
null
We derive conditions for the existence of four-dimensional \N=1 supersymmetric flux vacua of massive type IIA string theory with general supergravity fluxes turned on. For an SU(3) singlet Killing spinor, we show that such flux vacua exist only when the internal geometry is nearly-K\"ahler. The geometry is not warped...
[ { "created": "Wed, 3 Mar 2004 20:50:08 GMT", "version": "v1" } ]
2008-11-26
[ [ "Behrndt", "Klaus", "" ], [ "Cvetic", "Mirjam", "" ] ]
We derive conditions for the existence of four-dimensional \N=1 supersymmetric flux vacua of massive type IIA string theory with general supergravity fluxes turned on. For an SU(3) singlet Killing spinor, we show that such flux vacua exist only when the internal geometry is nearly-K\"ahler. The geometry is not warped, ...
hep-th/0409108
Olaf Lechtenfeld
Olaf Lechtenfeld
Noncommutative Sine-Gordon Model
6 pages, 4 figures; talk at the XIIIth International Colloquium Integrable Systems and Quantum Groups in Prague 17-19 June 2004, and at the 37th International Symposium Ahrenshoop on the Theory of Elementary Particles in Berlin-Schm"ockwitz 23-27 August 2004
Czech.J.Phys. 54 (2004) 1351-1357; Fortsch.Phys. 53 (2005) 500-505
10.1002/prop.200410210
null
hep-th
null
As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2)->...
[ { "created": "Thu, 9 Sep 2004 19:55:51 GMT", "version": "v1" } ]
2009-11-10
[ [ "Lechtenfeld", "Olaf", "" ] ]
As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2)->U(...
2208.12631
Lavinia Heisenberg
Claudia de Rham, Laura Engelbrecht, Lavinia Heisenberg, Alice L\"uscher
Positivity bounds in vector theories
40 pages, 9 figures, 1 table, references and funding agencies updated
null
10.1007/JHEP12(2022)086
null
hep-th astro-ph.CO gr-qc
http://creativecommons.org/licenses/by/4.0/
Assuming unitarity, locality, causality, and Lorentz invariance of the, otherwise unknown, UV completion, we derive a new set of constraints on the effective field theory coefficients for the most general, ghost-free Generalized Proca and Proca Nuevo massive vector models. For the Generalized Proca model, we include ...
[ { "created": "Fri, 26 Aug 2022 12:46:01 GMT", "version": "v1" }, { "created": "Fri, 9 Sep 2022 08:12:47 GMT", "version": "v2" } ]
2023-01-04
[ [ "de Rham", "Claudia", "" ], [ "Engelbrecht", "Laura", "" ], [ "Heisenberg", "Lavinia", "" ], [ "Lüscher", "Alice", "" ] ]
Assuming unitarity, locality, causality, and Lorentz invariance of the, otherwise unknown, UV completion, we derive a new set of constraints on the effective field theory coefficients for the most general, ghost-free Generalized Proca and Proca Nuevo massive vector models. For the Generalized Proca model, we include ne...
hep-th/9907064
Alexios P. Polychronakos
Alexios P. Polychronakos
On the virial coefficients of nonabelian anyons
9 pages, 3 eps figures
Phys.Rev.Lett.84:1268-1271,2000
10.1103/PhysRevLett.84.1268
UUITP-3/99
hep-th cond-mat quant-ph
null
We study a system of nonabelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all nonabelian groups for the statistics of the particles and relies sol...
[ { "created": "Fri, 9 Jul 1999 10:53:31 GMT", "version": "v1" } ]
2011-08-12
[ [ "Polychronakos", "Alexios P.", "" ] ]
We study a system of nonabelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all nonabelian groups for the statistics of the particles and relies solel...
1401.1901
Shinichi Deguchi
Shinichi Deguchi, Takafumi Suzuki
Spinor and twistor formulations of massless particles with rigidity
15 pages; minor corrections; published version
Phys. Lett. B 731 (2014) 337
10.1016/j.physletb.2014.02.057
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The 4-dimensional model of a massless particle with rigidity whose Lagrangian is proportional to its world-line curvature is reformulated in terms of spinor and twistor variables. We begin with a first-order Lagrangian that is equivalent to the original Lagrangian proportional to the extrinsic curvature of a particle...
[ { "created": "Thu, 9 Jan 2014 06:31:41 GMT", "version": "v1" }, { "created": "Thu, 27 Mar 2014 06:40:24 GMT", "version": "v2" } ]
2015-06-18
[ [ "Deguchi", "Shinichi", "" ], [ "Suzuki", "Takafumi", "" ] ]
The 4-dimensional model of a massless particle with rigidity whose Lagrangian is proportional to its world-line curvature is reformulated in terms of spinor and twistor variables. We begin with a first-order Lagrangian that is equivalent to the original Lagrangian proportional to the extrinsic curvature of a particle w...
hep-th/0701116
Hong-Hao Zhang
Hong-Hao Zhang, Wen-Bin Yan, Xue-Song Li
Trace Formulae of Characteristic Polynomial and Cayley-Hamilton's Theorem, and Applications to Chiral Perturbation Theory and General Relativity
10 pages
Commun.Theor.Phys.49:801,2008
10.1088/0253-6102/49/4/01
null
hep-th hep-ph math-ph math.MP
null
By using combinatorics, we give a new proof for the recurrence relations of the characteristic polynomial coefficients, and then we obtain an explicit expression for the generic term of the coefficient sequence, which yields the trace formulae of the Cayley-Hamilton's theorem with all coefficients explicitly given, a...
[ { "created": "Fri, 12 Jan 2007 12:45:33 GMT", "version": "v1" } ]
2008-11-26
[ [ "Zhang", "Hong-Hao", "" ], [ "Yan", "Wen-Bin", "" ], [ "Li", "Xue-Song", "" ] ]
By using combinatorics, we give a new proof for the recurrence relations of the characteristic polynomial coefficients, and then we obtain an explicit expression for the generic term of the coefficient sequence, which yields the trace formulae of the Cayley-Hamilton's theorem with all coefficients explicitly given, and...
1712.00742
Anton Galajinsky
Anton Galajinsky
Geometry of the isotropic oscillator driven by the conformal mode
V3: 10 pages, presentation improved, the version to appear in Eur. Phys. J. C
null
10.1140/epjc/s10052-018-5568-8
null
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift. In this work, a modification of the Eisenhart lift is proposed which...
[ { "created": "Sun, 3 Dec 2017 10:01:53 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2017 09:31:32 GMT", "version": "v2" }, { "created": "Wed, 17 Jan 2018 02:41:41 GMT", "version": "v3" } ]
2018-03-14
[ [ "Galajinsky", "Anton", "" ] ]
Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift. In this work, a modification of the Eisenhart lift is proposed which d...
0707.1153
Gabriele Travaglini
Andreas Brandhuber, Paul Heslop, Gabriele Travaglini
MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
17 pages, 3 figures. v2: minor clarifications and references added
Nucl.Phys.B794:231-243,2008
10.1016/j.nuclphysb.2007.11.002
QMUL-07-14
hep-th hep-ph
null
It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang-Mills theory at arbitrary loop order can be written as the product of the tree amplitude with the same helicity configuration and a universal, helicity-blind function of the kinematic invariants. In this note we show how for one-loop MHV amp...
[ { "created": "Mon, 9 Jul 2007 14:56:25 GMT", "version": "v1" }, { "created": "Fri, 13 Jul 2007 11:27:28 GMT", "version": "v2" } ]
2008-11-26
[ [ "Brandhuber", "Andreas", "" ], [ "Heslop", "Paul", "" ], [ "Travaglini", "Gabriele", "" ] ]
It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang-Mills theory at arbitrary loop order can be written as the product of the tree amplitude with the same helicity configuration and a universal, helicity-blind function of the kinematic invariants. In this note we show how for one-loop MHV ampli...
1810.11463
Matthias Wilhelm
Aleix Gimenez Grau and Charlotte Kristjansen and Matthias Volk and Matthias Wilhelm
A Quantum Check of Non-Supersymmetric AdS/dCFT
33+14 pages, 5 figures; v2: typos corrected, reference added, version published in JHEP
JHEP 1901 (2019) 007
10.1007/JHEP01(2019)007
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Via a challenging field-theory computation, we confirm a supergravity prediction for the non-supersymmetric D3-D7 probe-brane system with probe geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a certain double-scaling limit, the value of the one-point functions of chiral primaries of the du...
[ { "created": "Fri, 26 Oct 2018 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 8 Jan 2019 21:57:09 GMT", "version": "v2" } ]
2019-01-14
[ [ "Grau", "Aleix Gimenez", "" ], [ "Kristjansen", "Charlotte", "" ], [ "Volk", "Matthias", "" ], [ "Wilhelm", "Matthias", "" ] ]
Via a challenging field-theory computation, we confirm a supergravity prediction for the non-supersymmetric D3-D7 probe-brane system with probe geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a certain double-scaling limit, the value of the one-point functions of chiral primaries of the dual...
hep-th/9312104
Edward Witten
Edward Witten
The Verlinde Algebra And The Cohomology Of The Grassmannian
78 pages
null
null
IASSNS-HEP-93/41
hep-th math.QA
null
The article is devoted to a quantum field theory explanation of the relationship (noticed some years ago by Gepner) between the Verlinde algebra of the group $U(k)$ at level $N-k$ and the cohomology of the Grassmannian. The argument proceeds by starting with the two dimensional sigma model whose target space is the G...
[ { "created": "Mon, 13 Dec 1993 15:26:54 GMT", "version": "v1" } ]
2009-09-25
[ [ "Witten", "Edward", "" ] ]
The article is devoted to a quantum field theory explanation of the relationship (noticed some years ago by Gepner) between the Verlinde algebra of the group $U(k)$ at level $N-k$ and the cohomology of the Grassmannian. The argument proceeds by starting with the two dimensional sigma model whose target space is the Gra...
hep-th/0012001
Alex Kirillov
A. A. Kirillov
Possible Effects of Spacetime Foam in Particle Physics
A shortened version will appear in the proceedings of the XXIII International Workshop on the Fundamental Problems of HEP&FT, Protvino, Russia [June 21-23, 2000]
null
null
null
hep-th cond-mat gr-qc hep-ph
null
We present an extension of quantum field theory to the case when the spacetime topology fluctuates (spacetime foam). In this extension the number of bosonic fields becomes a variable and the ground state is characterized by a finite particle number density. It is shown that when the number of fields remains a constan...
[ { "created": "Fri, 1 Dec 2000 00:50:51 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kirillov", "A. A.", "" ] ]
We present an extension of quantum field theory to the case when the spacetime topology fluctuates (spacetime foam). In this extension the number of bosonic fields becomes a variable and the ground state is characterized by a finite particle number density. It is shown that when the number of fields remains a constant,...
1007.3996
Mark Van Raamsdonk
Donald Marolf, Mukund Rangamani, and Mark Van Raamsdonk
Holographic models of de Sitter QFTs
35 pages, LaTeX, 4 figures, v2: refs added
Class.Quant.Grav.28:105015,2011
10.1088/0264-9381/28/10/105015
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the dynamics of strongly coupled field theories in de Sitter spacetime using the holographic gauge/gravity duality. The main motivation for this is to explore the possibility of dynamical phase transitions during cosmological evolution. Specifically, we study two classes of theories: (i) conformal field t...
[ { "created": "Thu, 22 Jul 2010 20:04:19 GMT", "version": "v1" }, { "created": "Fri, 19 Nov 2010 15:44:14 GMT", "version": "v2" } ]
2011-04-28
[ [ "Marolf", "Donald", "" ], [ "Rangamani", "Mukund", "" ], [ "Van Raamsdonk", "Mark", "" ] ]
We describe the dynamics of strongly coupled field theories in de Sitter spacetime using the holographic gauge/gravity duality. The main motivation for this is to explore the possibility of dynamical phase transitions during cosmological evolution. Specifically, we study two classes of theories: (i) conformal field the...
hep-th/0302033
Jorge Zanelli
Olivera Miskovic and Jorge Zanelli
Dynamical Structure of Irregular Constrained Systems
14 pages, no figures, references added. Final version for J. Math. Phys
J.Math.Phys. 44 (2003) 3876-3887
10.1063/1.1601299
null
hep-th
null
Hamiltonian systems with functionally dependent constraints (irregular systems), for which the standard Dirac procedure is not directly applicable, are discussed. They are classified according to their behavior in the vicinity of the constraint surface into two fundamental types. If the irregular constraints are mult...
[ { "created": "Wed, 5 Feb 2003 19:13:09 GMT", "version": "v1" }, { "created": "Thu, 2 Oct 2003 20:15:39 GMT", "version": "v2" } ]
2009-11-10
[ [ "Miskovic", "Olivera", "" ], [ "Zanelli", "Jorge", "" ] ]
Hamiltonian systems with functionally dependent constraints (irregular systems), for which the standard Dirac procedure is not directly applicable, are discussed. They are classified according to their behavior in the vicinity of the constraint surface into two fundamental types. If the irregular constraints are multil...
1311.1491
Alexander Ochirov Mr.
Alexander Ochirov
All one-loop NMHV gluon amplitudes in N=1 SYM
49 pages, 12 figures, 2 Mathematica files attached: N1chiralAll.nb, Ammppmppp.nb; v2 minor corrections, journal version
JHEP 1312 (2013) 080
10.1007/JHEP12(2013)080
IPhT-t13/248
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We compute the next-to-maximally-helicity-violating one-loop n-gluon amplitudes in N=1 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and constitute the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We a...
[ { "created": "Wed, 6 Nov 2013 20:35:49 GMT", "version": "v1" }, { "created": "Tue, 17 Dec 2013 16:40:28 GMT", "version": "v2" } ]
2013-12-19
[ [ "Ochirov", "Alexander", "" ] ]
We compute the next-to-maximally-helicity-violating one-loop n-gluon amplitudes in N=1 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and constitute the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We ass...
1512.08603
Marc Henneaux
Marc Henneaux, Alfredo P\'erez, David Tempo and Ricardo Troncoso
Extended anti-de Sitter Hypergravity in $2+1$ Dimensions and Hypersymmetry Bounds
To appear in the Proceedings of the workshop "Higher Spin Gauge Theories", Institute for Advanced Studies, NTU, Singapore, November 4-6, 2015
null
null
CECS-PHY-15/12
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a recent paper (JHEP {\bf 1508} (2015) 021), we have investigated hypersymmetry bounds in the context of simple anti-de Sitter hypergravity in $2+1$ dimensions. We showed that these bounds involved non linearly the spin-$2$ and spin-$4$ charges, and were saturated by a class of extremal black holes, which are $\fr...
[ { "created": "Tue, 29 Dec 2015 05:27:10 GMT", "version": "v1" } ]
2015-12-31
[ [ "Henneaux", "Marc", "" ], [ "Pérez", "Alfredo", "" ], [ "Tempo", "David", "" ], [ "Troncoso", "Ricardo", "" ] ]
In a recent paper (JHEP {\bf 1508} (2015) 021), we have investigated hypersymmetry bounds in the context of simple anti-de Sitter hypergravity in $2+1$ dimensions. We showed that these bounds involved non linearly the spin-$2$ and spin-$4$ charges, and were saturated by a class of extremal black holes, which are $\frac...
1701.01506
Nobuyoshi Ohta
Nobuyoshi Ohta
Background Scale Independence in Quantum Gravity
18 pages, v2: minor corrections
Prog Theor Exp Phys (2017)
10.1093/ptep/ptx020
KU-TP 069
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the background scale independence in single-metric approximation to the functional renormalization group equation (FRGE) for quantum gravity and show that it is possible to formulate it without using higher-derivative gauge fixing in arbitrary dimensions if we adopt the Landau gauge and suitable cutoff schem...
[ { "created": "Thu, 5 Jan 2017 23:39:01 GMT", "version": "v1" }, { "created": "Sun, 26 Feb 2017 11:04:13 GMT", "version": "v2" } ]
2019-12-06
[ [ "Ohta", "Nobuyoshi", "" ] ]
We study the background scale independence in single-metric approximation to the functional renormalization group equation (FRGE) for quantum gravity and show that it is possible to formulate it without using higher-derivative gauge fixing in arbitrary dimensions if we adopt the Landau gauge and suitable cutoff scheme....
2205.08578
Marina Moleti
Simone Giacomelli, Marina Moleti and Raffaele Savelli
Probing 7-branes on Orbifolds
53 pages and many figures
null
10.1007/JHEP08(2022)163
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
D3 branes in the vicinity of an E6, E7, or E8 stack of 7-branes in flat space are known to host at low energy a famous class of strongly-coupled N = 2 superconformal field theories featuring exceptional global symmetry. What if, instead, the 7-branes wrap an orbifold? We give a systematic characterization of such the...
[ { "created": "Tue, 17 May 2022 18:45:19 GMT", "version": "v1" } ]
2022-09-07
[ [ "Giacomelli", "Simone", "" ], [ "Moleti", "Marina", "" ], [ "Savelli", "Raffaele", "" ] ]
D3 branes in the vicinity of an E6, E7, or E8 stack of 7-branes in flat space are known to host at low energy a famous class of strongly-coupled N = 2 superconformal field theories featuring exceptional global symmetry. What if, instead, the 7-branes wrap an orbifold? We give a systematic characterization of such theor...
2010.14635
Tal Sheaffer
Adar Sharon, Tal Sheaffer
Full Phase Diagram of a UV Completed $\mathcal{N}=1$ Yang-Mills-Chern-Simons Matter Theory
48 pages + appendices, 11 figures
null
10.1007/JHEP06(2021)186
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the large $N$ phase diagram of an asymptotically free UV completion of $\mathcal{N}=1$ $SU(N)$ super-Yang-Mills-Chern-Simons theory coupled to a single massive fundamental scalar multiplet with a quartic superpotential coupling. We compute the effective superpotential at small gauge coupling $\lambda\equiv N...
[ { "created": "Tue, 27 Oct 2020 21:51:11 GMT", "version": "v1" } ]
2021-07-02
[ [ "Sharon", "Adar", "" ], [ "Sheaffer", "Tal", "" ] ]
We study the large $N$ phase diagram of an asymptotically free UV completion of $\mathcal{N}=1$ $SU(N)$ super-Yang-Mills-Chern-Simons theory coupled to a single massive fundamental scalar multiplet with a quartic superpotential coupling. We compute the effective superpotential at small gauge coupling $\lambda\equiv N/k...
hep-th/0005167
Archil Kobakhidze
M. Chaichian, M. Gogberashvili and A.B. Kobakhidze
High-dimensional sources for the four-dimensional gravity
8 pages, latex2e, 3 eps figures, misprints corrected and reference added
null
null
HIP-2000-24/TH
hep-th gr-qc hep-ph
null
We argue that a certain distribution of matter in higher dimensions can provide the correct behaviour of gravity in four dimensions. Some explicit examples illustrating the idea are considered.
[ { "created": "Thu, 18 May 2000 14:08:00 GMT", "version": "v1" }, { "created": "Sat, 3 Jun 2000 09:28:34 GMT", "version": "v2" } ]
2007-05-23
[ [ "Chaichian", "M.", "" ], [ "Gogberashvili", "M.", "" ], [ "Kobakhidze", "A. B.", "" ] ]
We argue that a certain distribution of matter in higher dimensions can provide the correct behaviour of gravity in four dimensions. Some explicit examples illustrating the idea are considered.
1206.3940
Sergei Kuzenko
Sergei M. Kuzenko
Conformally compactified Minkowski superspaces revisited
29 pages; V2: typos corrected, references and comments added; V3: eqs. (5.11) and (6.10) modified, reference added
null
10.1007/JHEP10(2012)135
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Starting from the standard supertwistor realizations for conformally compactified N-extended Minkowski superspaces in three and four space-time dimensions, we elaborate on alternative realizations in terms of graded two-forms on the dual supertwistor spaces. The construction is further generalized to the cases of 4D ...
[ { "created": "Mon, 18 Jun 2012 13:59:22 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2012 04:04:52 GMT", "version": "v2" }, { "created": "Sat, 4 Aug 2012 01:51:39 GMT", "version": "v3" } ]
2015-06-05
[ [ "Kuzenko", "Sergei M.", "" ] ]
Starting from the standard supertwistor realizations for conformally compactified N-extended Minkowski superspaces in three and four space-time dimensions, we elaborate on alternative realizations in terms of graded two-forms on the dual supertwistor spaces. The construction is further generalized to the cases of 4D N=...
hep-th/0005082
Alexandre Grezzi de Miranda Schmidt
A. T. Suzuki and A. G. M. Schmidt
NDIM achievements: Massive, Arbitrary tensor rank and N-loop insertions in Feynman integrals
7 pages, 4 figures, RevTex. To be published in JPA
J.Phys.A33:3713-3722,2000
10.1088/0305-4470/33/19/307
null
hep-th
null
One of the main difficulties in studying Quantum Field Theory, in the perturbative regime, is the calculation of D-dimensional Feynman integrals. In general, one introduces the so-called Feynman parameters and associated with them the cumbersome parametric integrals. Solving these integrals beyond the one-loop level ...
[ { "created": "Tue, 9 May 2000 12:47:07 GMT", "version": "v1" } ]
2008-11-26
[ [ "Suzuki", "A. T.", "" ], [ "Schmidt", "A. G. M.", "" ] ]
One of the main difficulties in studying Quantum Field Theory, in the perturbative regime, is the calculation of D-dimensional Feynman integrals. In general, one introduces the so-called Feynman parameters and associated with them the cumbersome parametric integrals. Solving these integrals beyond the one-loop level ca...
1512.03554
Marika Taylor
Marika Taylor
Lifshitz holography
58 pages; invited topical review for Classical and Quantum Gravity; v2 references and comments added (published version)
null
10.1088/0264-9381/33/3/033001
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article we review recent progress on the holographic modelling of field theories with Lifshitz symmetry. We focus in particular on the holographic dictionary for Lifshitz backgrounds - the relationship between bulk fields and boundary operators, operator correlation functions and underlying geometrical struct...
[ { "created": "Fri, 11 Dec 2015 09:01:28 GMT", "version": "v1" }, { "created": "Fri, 15 Jan 2016 10:00:51 GMT", "version": "v2" } ]
2016-01-18
[ [ "Taylor", "Marika", "" ] ]
In this article we review recent progress on the holographic modelling of field theories with Lifshitz symmetry. We focus in particular on the holographic dictionary for Lifshitz backgrounds - the relationship between bulk fields and boundary operators, operator correlation functions and underlying geometrical structur...
0712.0946
Alexei Morozov
A. Morozov
Hamiltonian Formalism in the Presence of Higher Derivatives
8 pages
Theor.Math.Phys.157:1542-1549,2008
10.1007/s11232-008-0128-2
ITEP/TH-72/07
hep-th
null
A short review of basic formulas from Hamiltonian formalism in classical mechanics in the case when Lagrangian contains N time-derivatives of n coordinate variables. For non-local models N=infinity.
[ { "created": "Thu, 6 Dec 2007 14:23:31 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2007 15:40:47 GMT", "version": "v2" }, { "created": "Thu, 13 Dec 2007 08:18:57 GMT", "version": "v3" } ]
2008-12-25
[ [ "Morozov", "A.", "" ] ]
A short review of basic formulas from Hamiltonian formalism in classical mechanics in the case when Lagrangian contains N time-derivatives of n coordinate variables. For non-local models N=infinity.
1105.6111
K.B. Alkalaev
K.B. Alkalaev and Maxim Grigoriev
Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
30 pages; v2: Journal version. Comments, conclusions and refs added, typos removed
Nucl.Phys.B853:663-687,2011
10.1016/j.nuclphysb.2011.08.005
FIAN-TD-2011-08
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a concise gauge invariant formulation for massless, partially massless, and massive bosonic AdS fields of arbitrary symmetry type at the level of equations of motion. Our formulation admits two equivalent descriptions: in terms of the ambient space and in terms of an appropriate vector bundle, as an expl...
[ { "created": "Mon, 30 May 2011 20:35:23 GMT", "version": "v1" }, { "created": "Mon, 15 Aug 2011 06:26:55 GMT", "version": "v2" } ]
2011-09-20
[ [ "Alkalaev", "K. B.", "" ], [ "Grigoriev", "Maxim", "" ] ]
We construct a concise gauge invariant formulation for massless, partially massless, and massive bosonic AdS fields of arbitrary symmetry type at the level of equations of motion. Our formulation admits two equivalent descriptions: in terms of the ambient space and in terms of an appropriate vector bundle, as an explic...
2002.01949
Rahul Poddar
Sunil Mukhi, Rahul Poddar, Palash Singh
Rational CFT With Three Characters: The Quasi-Character Approach
Typos corrected and references added. Final version, to appear in JHEP, 29 pages
null
10.1007/JHEP05(2020)003
null
hep-th cond-mat.str-el math-ph math.MP math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters. These in turn generate all possible admissible characters, of arbitr...
[ { "created": "Wed, 5 Feb 2020 19:00:11 GMT", "version": "v1" }, { "created": "Fri, 1 May 2020 12:48:50 GMT", "version": "v2" } ]
2020-05-20
[ [ "Mukhi", "Sunil", "" ], [ "Poddar", "Rahul", "" ], [ "Singh", "Palash", "" ] ]
Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters. These in turn generate all possible admissible characters, of arbitrar...
1711.08472
Douglas A. Singleton
Dewi Wulandari, Triyanta, Jusak S. Kosasih, Douglas Singleton, and Preston Jones
Localization of Interacting Fields in Five-Dimensional Braneworld Models
20 pages revtex4. No figures. Published in IJMPA
Int.J.Mod.Phys. A32 (2017) no.32, 1750191
10.1142/S0217751X17501913
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study localization properties of fundamental fields which are coupled to one another through the gauge mechanism both in the original Randall-Sundrum (RS) and in the modified Randall-Sundrum (MRS) braneworld models: scalar-vector, vector-vector, and spinor-vector configuration systems. For this purpose we derive c...
[ { "created": "Wed, 22 Nov 2017 19:06:39 GMT", "version": "v1" } ]
2017-11-30
[ [ "Wulandari", "Dewi", "" ], [ "Triyanta", "", "" ], [ "Kosasih", "Jusak S.", "" ], [ "Singleton", "Douglas", "" ], [ "Jones", "Preston", "" ] ]
We study localization properties of fundamental fields which are coupled to one another through the gauge mechanism both in the original Randall-Sundrum (RS) and in the modified Randall-Sundrum (MRS) braneworld models: scalar-vector, vector-vector, and spinor-vector configuration systems. For this purpose we derive con...
2205.14615
Yosuke Imamura
Yosuke Imamura
Analytic continuation for giant gravitons
34pages, 21 figures. v2: minor improvement, references added
null
null
TIT/HEP-689
hep-th
http://creativecommons.org/licenses/by/4.0/
We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the i...
[ { "created": "Sun, 29 May 2022 09:49:19 GMT", "version": "v1" }, { "created": "Fri, 10 Jun 2022 15:52:54 GMT", "version": "v2" } ]
2022-06-13
[ [ "Imamura", "Yosuke", "" ] ]
We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the ind...
hep-th/9906095
Bernard de Wit
Bernard de Wit
Modifications of the area law and N=2 supersymmetric black holes
14 pages, LaTeX; contribution to the Brussels conference in honour of Francois Englert, March 1999, to be published in the proceedings
null
null
THU-99/15
hep-th
null
Modifications of the area law are crucial in order to find agreement with microscopic entropy calculations based on string theory, when including contributions that are subleading for large charges. The deviations of the area law are in accord with Wald's proposal for the entropy based on a Noether charge. We discuss...
[ { "created": "Sun, 13 Jun 1999 22:40:09 GMT", "version": "v1" } ]
2007-05-23
[ [ "de Wit", "Bernard", "" ] ]
Modifications of the area law are crucial in order to find agreement with microscopic entropy calculations based on string theory, when including contributions that are subleading for large charges. The deviations of the area law are in accord with Wald's proposal for the entropy based on a Noether charge. We discuss t...
1309.4527
Sergey Monin
Sergey Monin, M. Shifman
Degeneracy between Abelian and Non-Abelian Strings
null
International Journal 1 of Modern Physics A 2 Vol. 29 (2014) 1450105
10.1142/S0217751X1450105X
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a model that supports both Abelian (Abrikosov-Nielsen-Olesen) and non-Abelian strings we analyze the parameter space to find examples in which these strings not only coexist but are degenerate in tension. We prove that both solutions are locally stable, i.e there are no negative modes in the string background. The...
[ { "created": "Wed, 18 Sep 2013 02:33:48 GMT", "version": "v1" } ]
2014-06-27
[ [ "Monin", "Sergey", "" ], [ "Shifman", "M.", "" ] ]
In a model that supports both Abelian (Abrikosov-Nielsen-Olesen) and non-Abelian strings we analyze the parameter space to find examples in which these strings not only coexist but are degenerate in tension. We prove that both solutions are locally stable, i.e there are no negative modes in the string background. The t...
hep-th/9611087
Asim Gangopadhyaya
Ranabir Dutt, Asim Gangopadhyaya and Uday P. Sukhatme
Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance
Latex, 12 pages. To appear in American Journal of Physics
Am.J.Phys. 65 (1997) 400-403
10.1119/1.18551
null
hep-th
null
It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in a simple way. The same operator techniques can also be applied to several problems with non-central vector and scalar potentials. As examp...
[ { "created": "Tue, 12 Nov 1996 19:21:44 GMT", "version": "v1" } ]
2009-10-30
[ [ "Dutt", "Ranabir", "" ], [ "Gangopadhyaya", "Asim", "" ], [ "Sukhatme", "Uday P.", "" ] ]
It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in a simple way. The same operator techniques can also be applied to several problems with non-central vector and scalar potentials. As example...
1812.05349
Daniël Prins
Dani\"el Prins
Supersymmetric gauge theory on curved 7-branes
32 pages. v2: Added off-shell formulation. Updated references, minor corrections
null
10.1002/prop.201900009
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an off-shell supergravity. We find two classes of solutions to the constraints, expres...
[ { "created": "Thu, 13 Dec 2018 10:14:53 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2018 19:00:00 GMT", "version": "v2" } ]
2019-05-22
[ [ "Prins", "Daniël", "" ] ]
We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an off-shell supergravity. We find two classes of solutions to the constraints, expresse...
hep-th/9312073
null
Peter Schupp, Paul Watts and Bruno Zumino
Cartan Calculus on Quantum Lie Algebras
15 pages in LaTeX, LBL-34833 and UCB-PTH-93/32
Adv. Appl. Clifford Alg.(Proc. Suppl.)4-S1 (1994) 125
null
null
hep-th
null
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functio...
[ { "created": "Fri, 10 Dec 1993 00:20:42 GMT", "version": "v1" } ]
2007-05-23
[ [ "Schupp", "Peter", "" ], [ "Watts", "Paul", "" ], [ "Zumino", "Bruno", "" ] ]
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions...
hep-th/0101174
Patrick E. Dorey
Patrick Dorey
Boundary integrable quantum field theories
6 pages, Latex, uses sprocl, cite, amssymb
null
10.1142/9789812799968_0007
DCTP/01/13
hep-th
null
A brief survey of recent results in the study of boundary integrable quantum field theories, indicating some currently open problems. Based on lectures given at the 2000 Eotvos Summer School in Physics on `Nonperturbative QFT methods and their applications'.
[ { "created": "Thu, 25 Jan 2001 20:04:44 GMT", "version": "v1" } ]
2017-08-23
[ [ "Dorey", "Patrick", "" ] ]
A brief survey of recent results in the study of boundary integrable quantum field theories, indicating some currently open problems. Based on lectures given at the 2000 Eotvos Summer School in Physics on `Nonperturbative QFT methods and their applications'.
1410.6851
Enrique Jim\'enez
Enrique Jim\'enez
$ \mathcal{N}= 1 $ super Feynman rules for any superspin: Noncanonical SUSY
28 pages, 1 figure. Published version
Phys. Rev. D 92, 085013 (2015)
10.1103/PhysRevD.92.085013
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Super Feynman rules for any superspin are given for massive $ \mathcal{N}=1 $ supersymmetric theories, including momentum superspace on-shell legs. This is done by extending, from space to superspace, Weinberg's perturbative approach to quantum field theory. Superfields work just as a device that allow one to write s...
[ { "created": "Fri, 24 Oct 2014 23:03:01 GMT", "version": "v1" }, { "created": "Wed, 1 Apr 2015 05:57:12 GMT", "version": "v2" }, { "created": "Sat, 24 Oct 2015 05:56:02 GMT", "version": "v3" } ]
2015-10-27
[ [ "Jiménez", "Enrique", "" ] ]
Super Feynman rules for any superspin are given for massive $ \mathcal{N}=1 $ supersymmetric theories, including momentum superspace on-shell legs. This is done by extending, from space to superspace, Weinberg's perturbative approach to quantum field theory. Superfields work just as a device that allow one to write sup...
hep-th/9403178
Giovanni Felder
V. M. Buchstaber, Giovanni Felder, A. V. Veselov
Elliptic Dunkl operators, root systems, and functional equations
30 pages
Duke Math.J. 76 (1994) 885-911
null
null
hep-th math.QA
null
We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases. In particular, solutions associated with elliptic curves are constructed. In th...
[ { "created": "Tue, 29 Mar 1994 12:13:36 GMT", "version": "v1" } ]
2008-02-03
[ [ "Buchstaber", "V. M.", "" ], [ "Felder", "Giovanni", "" ], [ "Veselov", "A. V.", "" ] ]
We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases. In particular, solutions associated with elliptic curves are constructed. In the ...
hep-th/9410224
Palacios Moron Leonardo
L. Palacios
A BRST charge for non-critical $\W_{2,s}$ strings
11 pages, phyzzx.tex, IC/94/336
Phys.Lett. B350 (1995) 33-37
10.1016/0370-2693(95)00358-R
null
hep-th
null
We present a general argument for the construction of BRST charges of the `non-critical' $\W_{2,4}$, $\W_{2,5}$, $\W_{2,6}$, and $\W_{2,8}$ strings. This evidences the existence of BRST charges for a kind of soft-type algebras which can be constructed from two copies of quantum $\W_{2,s}$ algebras, (s=3,4,5,6,8).
[ { "created": "Fri, 28 Oct 1994 14:10:26 GMT", "version": "v1" } ]
2009-10-28
[ [ "Palacios", "L.", "" ] ]
We present a general argument for the construction of BRST charges of the `non-critical' $\W_{2,4}$, $\W_{2,5}$, $\W_{2,6}$, and $\W_{2,8}$ strings. This evidences the existence of BRST charges for a kind of soft-type algebras which can be constructed from two copies of quantum $\W_{2,s}$ algebras, (s=3,4,5,6,8).
1101.1193
Joseph Manjavidze
J. Manjavidze
On the connection between quantum and classical descriptions
81 pages
null
10.1134/S1063779612040053
E2-2010-130
hep-th
http://creativecommons.org/licenses/publicdomain/
The review paper presents generalization of d'Alembert's variational principle: the dynamics of a quantum system for an external observer is defined by the exact equilibrium of all acting in the system forces, including the random quantum force $\hbar j$, $\forall\hbar$. Spatial attention is dedicated to the systems ...
[ { "created": "Thu, 6 Jan 2011 11:31:31 GMT", "version": "v1" }, { "created": "Thu, 23 Jun 2011 05:32:44 GMT", "version": "v2" } ]
2015-05-20
[ [ "Manjavidze", "J.", "" ] ]
The review paper presents generalization of d'Alembert's variational principle: the dynamics of a quantum system for an external observer is defined by the exact equilibrium of all acting in the system forces, including the random quantum force $\hbar j$, $\forall\hbar$. Spatial attention is dedicated to the systems wi...
2301.04125
Bogdan Damski
Bogdan Damski
Electric field-based quantization of the gauge invariant Proca theory
6 pp
Phys. Rev. D 107, 045016 (2023)
10.1103/PhysRevD.107.045016
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field operator is given by a predefined three-dimensional vector field, say $\cal E$ up to...
[ { "created": "Tue, 10 Jan 2023 18:45:28 GMT", "version": "v1" }, { "created": "Thu, 23 Feb 2023 18:07:00 GMT", "version": "v2" } ]
2023-02-28
[ [ "Damski", "Bogdan", "" ] ]
We consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field operator is given by a predefined three-dimensional vector field, say $\cal E$ up to a...
1912.05262
Nirmalya Kajuri
Nirmalya Kajuri
Subregion bulk reconstruction and symmetries
References added, one paragraph removed
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
How do subregion boundary representations transform under conformal transformations? In this paper we conjecture a transformation rule and provide evidence for it. We also show how this transformation rule helps mitigate the subregion reconstruction paradox presented by Alhmeiri et al.
[ { "created": "Wed, 11 Dec 2019 12:34:07 GMT", "version": "v1" }, { "created": "Fri, 20 Dec 2019 18:55:49 GMT", "version": "v2" }, { "created": "Wed, 1 Jan 2020 18:51:26 GMT", "version": "v3" }, { "created": "Sat, 4 Jan 2020 18:20:57 GMT", "version": "v4" }, { "cre...
2021-02-23
[ [ "Kajuri", "Nirmalya", "" ] ]
How do subregion boundary representations transform under conformal transformations? In this paper we conjecture a transformation rule and provide evidence for it. We also show how this transformation rule helps mitigate the subregion reconstruction paradox presented by Alhmeiri et al.
0706.3915
Olivier Sarbach
F. S. Guzman, L. Lehner, O. Sarbach
Do unbounded bubbles ultimately become fenced inside a black hole?
16 pages, 13 figures
Phys.Rev.D76:066003,2007
10.1103/PhysRevD.76.066003
null
hep-th gr-qc
null
We examine the dynamical behavior of recently introduced bubbles in asymptotically flat, five-dimensional spacetimes. Using numerical methods, we find that even bubbles that initially start expanding eventually collapse to a Schwarzschild-Tangherlini black hole.
[ { "created": "Tue, 26 Jun 2007 21:18:42 GMT", "version": "v1" } ]
2008-11-26
[ [ "Guzman", "F. S.", "" ], [ "Lehner", "L.", "" ], [ "Sarbach", "O.", "" ] ]
We examine the dynamical behavior of recently introduced bubbles in asymptotically flat, five-dimensional spacetimes. Using numerical methods, we find that even bubbles that initially start expanding eventually collapse to a Schwarzschild-Tangherlini black hole.
2202.11392
Vit Sriprachyakul
Matthias R. Gaberdiel, Kiarash Naderi and Vit Sriprachyakul
The free field realisation of the BVW string
28 pages
null
10.1007/JHEP08(2022)274
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The symmetric orbifold of $\mathbb{T}^4$ was recently shown to be exactly dual to string theory on ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$ with minimal ($k=1$) NS-NS flux. The worldsheet theory is best formulated in terms of the hybrid formalism of Berkovits, Vafa & Witten (BVW), in terms of which the ${\rm...
[ { "created": "Wed, 23 Feb 2022 10:16:53 GMT", "version": "v1" } ]
2022-09-14
[ [ "Gaberdiel", "Matthias R.", "" ], [ "Naderi", "Kiarash", "" ], [ "Sriprachyakul", "Vit", "" ] ]
The symmetric orbifold of $\mathbb{T}^4$ was recently shown to be exactly dual to string theory on ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$ with minimal ($k=1$) NS-NS flux. The worldsheet theory is best formulated in terms of the hybrid formalism of Berkovits, Vafa & Witten (BVW), in terms of which the ${\rm A...
hep-th/9612090
Luigi Pilo
E. Guadagnini, L. Pilo
Three-manifold invariants and their relation with the fundamental group
22 pages, Latex document, two eps figures
Commun.Math.Phys. 192 (1998) 47-65
10.1007/s002200050290
IFUP-TH 69/96
hep-th
null
We consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M), the absolute value | I(M) | only depends on the...
[ { "created": "Mon, 9 Dec 1996 10:39:42 GMT", "version": "v1" } ]
2016-09-06
[ [ "Guadagnini", "E.", "" ], [ "Pilo", "L.", "" ] ]
We consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M), the absolute value | I(M) | only depends on the f...
0803.1850
Kazuya Koyama
Olindo Corradini, Kazuya Koyama and Gianmassimo Tasinato
Induced gravity on intersecting brane-worlds Part II: Cosmology
21 pages, some mistakes in the identification of the higher codimensional singular structure corrected. Main results unchanged
Phys.Rev.D78:124002,2008
10.1103/PhysRevD.78.124002
null
hep-th astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore cosmology of intersecting braneworlds with induced gravity on the branes. We find the cosmological equations that control the evolution of a moving codimension one brane and a codimension two brane that sits at the intersection. We study the Friedmann equation at the intersection, finding new contributions...
[ { "created": "Wed, 12 Mar 2008 21:02:25 GMT", "version": "v1" }, { "created": "Tue, 21 Oct 2008 13:40:12 GMT", "version": "v2" } ]
2008-12-18
[ [ "Corradini", "Olindo", "" ], [ "Koyama", "Kazuya", "" ], [ "Tasinato", "Gianmassimo", "" ] ]
We explore cosmology of intersecting braneworlds with induced gravity on the branes. We find the cosmological equations that control the evolution of a moving codimension one brane and a codimension two brane that sits at the intersection. We study the Friedmann equation at the intersection, finding new contributions f...
hep-th/9312076
null
Peter Schupp
From Quantum Planes to Quantum Groups and back; Cartan Calculus
49 pages
null
null
null
hep-th math.QA
null
A Cartan Calculus of Lie derivatives, differential forms, and inner derivations, based on an undeformed Cartan identity, is constructed. We attempt a classification of various types of quantum Lie algebras and present a fairly general example for their construction, utilizing pure braid methods, proving orthogonality...
[ { "created": "Fri, 10 Dec 1993 03:36:26 GMT", "version": "v1" } ]
2008-02-03
[ [ "Schupp", "Peter", "" ] ]
A Cartan Calculus of Lie derivatives, differential forms, and inner derivations, based on an undeformed Cartan identity, is constructed. We attempt a classification of various types of quantum Lie algebras and present a fairly general example for their construction, utilizing pure braid methods, proving orthogonality o...
1711.09477
Larry Ford
Enrico D. Schiappacasse, Christopher J. Fewster and L. H. Ford
Vacuum Quantum Stress Tensor Fluctuations: A Diagonalization Approach
30 pages, 3 figures
Phys. Rev. D 97, 025013 (2018)
10.1103/PhysRevD.97.025013
null
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Large vacuum fluctuations of a quantum stress tensor operator can be described by the asymptotic behavior of the probability distribution of the time or spacetime averaged operator. Here we focus on the case of stress tensor operators averaged with a sampling function in time. The Minkowski vacuum state is not an eig...
[ { "created": "Sun, 26 Nov 2017 22:31:53 GMT", "version": "v1" } ]
2018-01-31
[ [ "Schiappacasse", "Enrico D.", "" ], [ "Fewster", "Christopher J.", "" ], [ "Ford", "L. H.", "" ] ]
Large vacuum fluctuations of a quantum stress tensor operator can be described by the asymptotic behavior of the probability distribution of the time or spacetime averaged operator. Here we focus on the case of stress tensor operators averaged with a sampling function in time. The Minkowski vacuum state is not an eigen...
hep-th/9505003
Tim Morris
Tim R. Morris
Two Phases for Compact U(1) Pure Gauge Theory in Three Dimensions
10 pages, Plain TeX, uses harvmac
Phys.Rev. D53 (1996) 7250-7254
10.1103/PhysRevD.53.7250
SHEP 95-12
hep-th cond-mat hep-lat
null
We show that if actions more general than the usual simple plaquette action ($\sim F_{\mu\nu}^2$) are considered, then compact $U(1)$ {\sl pure} gauge theory in three Euclidean dimensions can have two phases. Both phases are confining phases, however in one phase the monopole condensate spontaneously `magnetizes'. Fo...
[ { "created": "Mon, 1 May 1995 13:59:10 GMT", "version": "v1" } ]
2009-10-28
[ [ "Morris", "Tim R.", "" ] ]
We show that if actions more general than the usual simple plaquette action ($\sim F_{\mu\nu}^2$) are considered, then compact $U(1)$ {\sl pure} gauge theory in three Euclidean dimensions can have two phases. Both phases are confining phases, however in one phase the monopole condensate spontaneously `magnetizes'. For ...
2111.14810
Alexander A. Voronov
Hisham Sati, Alexander A. Voronov
Mysterious Triality and Rational Homotopy Theory
39 pages. Dedicated to our teachers Igor V. Dolgachev and Yuri I. Manin. This is the final version accepted to Commun. Math. Phys. A few minor errors are corrected and presentation improved
null
null
IPMU21-0084
hep-th math.AG math.AT math.QA
http://creativecommons.org/licenses/by/4.0/
Mysterious Duality was discovered by Iqbal, Neitzke, and Vafa in 2001 as a convincing, yet mysterious correspondence between certain symmetry patterns in toroidal compactifications of M-theory and del Pezzo surfaces, both governed by the root system series $E_k$. It turns out that the sequence of del Pezzo surfaces...
[ { "created": "Mon, 29 Nov 2021 18:55:16 GMT", "version": "v1" }, { "created": "Wed, 9 Feb 2022 23:55:16 GMT", "version": "v2" }, { "created": "Wed, 28 Dec 2022 16:31:29 GMT", "version": "v3" }, { "created": "Mon, 9 Jan 2023 18:23:55 GMT", "version": "v4" } ]
2023-01-10
[ [ "Sati", "Hisham", "" ], [ "Voronov", "Alexander A.", "" ] ]
Mysterious Duality was discovered by Iqbal, Neitzke, and Vafa in 2001 as a convincing, yet mysterious correspondence between certain symmetry patterns in toroidal compactifications of M-theory and del Pezzo surfaces, both governed by the root system series $E_k$. It turns out that the sequence of del Pezzo surfaces is ...
hep-th/9809051
Jorge Gamboa Rios
J. L. Cortes, J. Gamboa, I. Schmidt and J. Zanelli
Topological Excitations in the Thirring model
title changed, one reference added, accepted in Phys. Lett. B
Phys.Lett. B444 (1998) 451-454
10.1016/S0370-2693(98)01433-6
null
hep-th
null
The quantization of the massless Thirring model in the light-cone using functional methods is considered. The need to compactify the coordinate $x^-$ in the light-cone spacetime implies that the quantum effective action for left-handed fermions contains excitations similar to abelian instantons produced by composite ...
[ { "created": "Tue, 8 Sep 1998 16:43:34 GMT", "version": "v1" }, { "created": "Fri, 13 Nov 1998 15:28:15 GMT", "version": "v2" } ]
2009-10-31
[ [ "Cortes", "J. L.", "" ], [ "Gamboa", "J.", "" ], [ "Schmidt", "I.", "" ], [ "Zanelli", "J.", "" ] ]
The quantization of the massless Thirring model in the light-cone using functional methods is considered. The need to compactify the coordinate $x^-$ in the light-cone spacetime implies that the quantum effective action for left-handed fermions contains excitations similar to abelian instantons produced by composite of...
hep-th/0701283
Hans-Peter Pavel
H.-P. Pavel
SU(2) Yang-Mills quantum mechanics of spatially constant fields
7 pages, 4 figures
Phys.Lett.B648:97-106,2007
10.1016/j.physletb.2007.02.055
null
hep-th math-ph math.MP
null
As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of a positive definite symmetric (3 x 3) matrix S. Representing the eigenvalues ...
[ { "created": "Tue, 30 Jan 2007 20:13:39 GMT", "version": "v1" } ]
2008-11-26
[ [ "Pavel", "H. -P.", "" ] ]
As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of a positive definite symmetric (3 x 3) matrix S. Representing the eigenvalues of...
2407.06860
David A. Lowe
David A. Lowe and Larus Thorlacius
Post AdS/CFT
18 pages
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the confining nature of motion in anti-de Sitter spacetime, are expected to lead to c...
[ { "created": "Tue, 9 Jul 2024 13:47:24 GMT", "version": "v1" } ]
2024-07-10
[ [ "Lowe", "David A.", "" ], [ "Thorlacius", "Larus", "" ] ]
The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the confining nature of motion in anti-de Sitter spacetime, are expected to lead to cla...
0707.0884
Claudia de Rham
Claudia de Rham
The Effective Field Theory of Codimension-two Branes
30 pages + appendices, matches journal version
JHEP0801:060,2008
10.1088/1126-6708/2008/01/060
null
hep-th
null
Distributional sources of matter on codimension-two and higher branes are only well-defined as regularized objects. Nevertheless, intuition from effective field theory suggests that the low-energy physics on such branes should be independent of any high-energy regularization scheme. In this paper, we address this iss...
[ { "created": "Fri, 6 Jul 2007 10:38:55 GMT", "version": "v1" }, { "created": "Thu, 16 Aug 2007 17:52:21 GMT", "version": "v2" }, { "created": "Mon, 28 Jan 2008 21:09:03 GMT", "version": "v3" } ]
2008-11-26
[ [ "de Rham", "Claudia", "" ] ]
Distributional sources of matter on codimension-two and higher branes are only well-defined as regularized objects. Nevertheless, intuition from effective field theory suggests that the low-energy physics on such branes should be independent of any high-energy regularization scheme. In this paper, we address this issue...
hep-th/0109217
Piljin Yi
Chanju Kim, Kimyeong Lee, and Piljin Yi
DLCQ of Fivebranes, Large N Screening, and L^2 Harmonic Forms on Calabi Manifolds
LaTeX, 23 pages
Phys.Rev. D65 (2002) 065024
10.1103/PhysRevD.65.065024
SNUTP01-030, KIAS-P01040
hep-th
null
We find one explicit L^2 harmonic form for every Calabi manifold. Calabi manifolds are known to arise in low energy dynamics of solitons in Yang-Mills theories, and the L^2 harmonic form corresponds to the supersymmetric ground state. As the normalizable ground state of a single U(N) instanton, it is related to the b...
[ { "created": "Fri, 28 Sep 2001 04:00:24 GMT", "version": "v1" }, { "created": "Sat, 29 Sep 2001 08:16:59 GMT", "version": "v2" } ]
2009-11-07
[ [ "Kim", "Chanju", "" ], [ "Lee", "Kimyeong", "" ], [ "Yi", "Piljin", "" ] ]
We find one explicit L^2 harmonic form for every Calabi manifold. Calabi manifolds are known to arise in low energy dynamics of solitons in Yang-Mills theories, and the L^2 harmonic form corresponds to the supersymmetric ground state. As the normalizable ground state of a single U(N) instanton, it is related to the bou...
2007.08510
Emanuel Malek
Emanuel Malek, Yuho Sakatani, Daniel C. Thompson
E$_{6(6)}$ Exceptional Drinfel'd Algebras
27 pages
null
10.1007/JHEP01(2021)020
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The exceptional Drinfel'd algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence it provides an M-theoretic analogue of the way a Drinfel'd double encodes generalised T-dualities of strings. In this note we deta...
[ { "created": "Thu, 16 Jul 2020 17:58:18 GMT", "version": "v1" } ]
2021-02-03
[ [ "Malek", "Emanuel", "" ], [ "Sakatani", "Yuho", "" ], [ "Thompson", "Daniel C.", "" ] ]
The exceptional Drinfel'd algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence it provides an M-theoretic analogue of the way a Drinfel'd double encodes generalised T-dualities of strings. In this note we detail...
1307.1604
Hrvoje Nikolic
H. Nikolic
Can a wormhole be interpreted as an EPR pair?
1 page
null
null
null
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, Maldacena and Susskind arXiv:1306.0533 and Jensen and Karch arXiv:1307.1132 argued that a wormhole can be interpreted as an EPR pair. We point out that a convincing justification of such an interpretation would require a quantitative evidence that correlations between two ends of the wormhole are equal to t...
[ { "created": "Fri, 5 Jul 2013 13:09:48 GMT", "version": "v1" } ]
2013-07-08
[ [ "Nikolic", "H.", "" ] ]
Recently, Maldacena and Susskind arXiv:1306.0533 and Jensen and Karch arXiv:1307.1132 argued that a wormhole can be interpreted as an EPR pair. We point out that a convincing justification of such an interpretation would require a quantitative evidence that correlations between two ends of the wormhole are equal to tho...
hep-th/0512335
Miao Li
Miao Li and Wei Song
A One Loop Problem of the Matrix Big Bang Model
21 pages, harvmac, v4: version to appear in JHEP
JHEP0608:089,2006
10.1088/1126-6708/2006/08/089
null
hep-th
null
We compute the one-loop effective action of two D0-branes in the matrix model for a cosmological background, and find vanishing static potential. However, there is a non-vanishing $v^2$ term not predicted in a supergravity calculation. This term is complex and signals an instability of the two D0-brane system, it may...
[ { "created": "Fri, 30 Dec 2005 06:28:52 GMT", "version": "v1" }, { "created": "Sat, 31 Dec 2005 14:04:08 GMT", "version": "v2" }, { "created": "Fri, 20 Jan 2006 10:20:10 GMT", "version": "v3" }, { "created": "Thu, 24 Aug 2006 09:56:17 GMT", "version": "v4" } ]
2009-11-11
[ [ "Li", "Miao", "" ], [ "Song", "Wei", "" ] ]
We compute the one-loop effective action of two D0-branes in the matrix model for a cosmological background, and find vanishing static potential. However, there is a non-vanishing $v^2$ term not predicted in a supergravity calculation. This term is complex and signals an instability of the two D0-brane system, it may a...
1805.05338
Fri{\dh}rik Freyr Gautason
Nikolay Bobev, Pieter Bomans and Fridrik Freyr Gautason
Spherical Branes
57 pages, 4 figures; v2: minor corrections, appendix added
null
10.1007/JHEP08(2018)029
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct new solutions of ten-dimensional supergravity with sixteen supercharges which describe the backreaction of D$p$-branes with spherical worldvolume. These solutions are holographically dual to the $(p+1)$-dimensional maximally supersymmetric Yang-Mills theory on $S^{p+1}$. The finite size of the sphere pro...
[ { "created": "Mon, 14 May 2018 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 4 Jul 2018 13:07:47 GMT", "version": "v2" } ]
2018-08-29
[ [ "Bobev", "Nikolay", "" ], [ "Bomans", "Pieter", "" ], [ "Gautason", "Fridrik Freyr", "" ] ]
We construct new solutions of ten-dimensional supergravity with sixteen supercharges which describe the backreaction of D$p$-branes with spherical worldvolume. These solutions are holographically dual to the $(p+1)$-dimensional maximally supersymmetric Yang-Mills theory on $S^{p+1}$. The finite size of the sphere provi...
2011.06597
Niccol\`o Cribiori
N. Cribiori, G. Dall'Agata, F. Farakos
Weak gravity versus de Sitter
29 pages. v2: minor corrections and references added. Published on JHEP
null
10.1007/JHEP04(2021)046
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that one can uncover a Dine-Seiberg problem for de Sitter critical points in supergravity theories by utilizing the magnetic weak gravity conjecture. We present a large variety of N=2 gauged supergravity models that include vector multiplets and in all cases we find that the weak gravity conjecture threatens ...
[ { "created": "Thu, 12 Nov 2020 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 12 Apr 2021 13:11:32 GMT", "version": "v2" } ]
2021-04-21
[ [ "Cribiori", "N.", "" ], [ "Dall'Agata", "G.", "" ], [ "Farakos", "F.", "" ] ]
We show that one can uncover a Dine-Seiberg problem for de Sitter critical points in supergravity theories by utilizing the magnetic weak gravity conjecture. We present a large variety of N=2 gauged supergravity models that include vector multiplets and in all cases we find that the weak gravity conjecture threatens de...
2012.03705
Lilia Anguelova
Lilia Anguelova
On Primordial Black Holes from Rapid Turns in Two-field Models
49 pages; minor improvements, references added
JCAP 06 (2021) 004
10.1088/1475-7516/2021/06/004
null
hep-th astro-ph.CO hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study rapid-turn trajectories in a class of two-field cosmological models, whose scalar manifold is the Poincar\'e disk. Background solutions in multi-field inflation, with field-space trajectories exhibiting sharp turns, can seed primordial black hole (PBH) formation. We investigate a class of exact solutions wit...
[ { "created": "Mon, 7 Dec 2020 14:03:41 GMT", "version": "v1" }, { "created": "Wed, 6 Jan 2021 16:53:21 GMT", "version": "v2" }, { "created": "Tue, 25 May 2021 20:01:49 GMT", "version": "v3" } ]
2021-06-09
[ [ "Anguelova", "Lilia", "" ] ]
We study rapid-turn trajectories in a class of two-field cosmological models, whose scalar manifold is the Poincar\'e disk. Background solutions in multi-field inflation, with field-space trajectories exhibiting sharp turns, can seed primordial black hole (PBH) formation. We investigate a class of exact solutions with ...
hep-th/0507092
Guendelman Eduardo I
E.I. Guendelman
6-D model with scalar field condensation at brane and zero 4-D Cosmological Constant
18 pages, latex
null
null
null
hep-th
null
In a previous publication we have shown that the gauge theory of relativistic 3-Branes can be formulated in a conformally invariant way if the embedding space is six-dimensional. The implementation of conformal invariance requires the use of a modified measure, independent of the metric in the action. We here general...
[ { "created": "Sun, 10 Jul 2005 15:00:07 GMT", "version": "v1" } ]
2007-05-23
[ [ "Guendelman", "E. I.", "" ] ]
In a previous publication we have shown that the gauge theory of relativistic 3-Branes can be formulated in a conformally invariant way if the embedding space is six-dimensional. The implementation of conformal invariance requires the use of a modified measure, independent of the metric in the action. We here generaliz...
1702.03011
David Berenstein
David Berenstein, Alexandra Miller
Superposition induced topology changes in quantum gravity
87 pages (incl. appendices). v2: updated references
null
10.1007/JHEP11(2017)121
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology. We study this phenomenon in a particular limit of the LLM geometries. In this limit, the UV complete minisuperspace of allowed quantum states is exactly given by the Hilbe...
[ { "created": "Thu, 9 Feb 2017 23:14:44 GMT", "version": "v1" }, { "created": "Wed, 24 May 2017 21:26:48 GMT", "version": "v2" } ]
2018-01-17
[ [ "Berenstein", "David", "" ], [ "Miller", "Alexandra", "" ] ]
We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology. We study this phenomenon in a particular limit of the LLM geometries. In this limit, the UV complete minisuperspace of allowed quantum states is exactly given by the Hilbert...