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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9802084
| null |
E.T.Akhmedov, M.N.Chernodub and M.I.Polikarpov
|
Dyon Condensation and Aharonov-Bohm Effect
|
6 pages, LaTeX, no figures
|
JETPLett.67:389-393,1998
|
10.1134/1.567679
|
ITEP-TH-5/98
|
hep-th hep-lat
| null |
We derive the string representation of the Abelian Higgs theory in which
dyons are condensed. It occurs that in such representation the topological
interaction exists in the expectation value of the Wilson loop. Due to this
interaction the dynamics of the string spanned on the Wilson loop is
non-trivial.
|
[
{
"created": "Thu, 12 Feb 1998 12:13:33 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Akhmedov",
"E. T.",
""
],
[
"Chernodub",
"M. N.",
""
],
[
"Polikarpov",
"M. I.",
""
]
] |
We derive the string representation of the Abelian Higgs theory in which dyons are condensed. It occurs that in such representation the topological interaction exists in the expectation value of the Wilson loop. Due to this interaction the dynamics of the string spanned on the Wilson loop is non-trivial.
|
1106.0999
|
Dietmar Klemm
|
Stefano Bertini, Sergio L. Cacciatori and Dietmar Klemm
|
Conformal structure of the Schwarzschild black hole
|
17 pages, uses JHEP3.cls. v2: Minor correction in appendix. v3: Final
version to appear in PRD
| null |
10.1103/PhysRevD.85.064018
|
IFUM-978-FT
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the scalar wave equation at low frequencies in the Schwarzschild
geometry enjoys a hidden SL(2,R) invariance, which is not inherited from an
underlying symmetry of the spacetime itself. Contrary to what happens for Kerr
black holes, the vector fields generating the SL(2,R) are globally defined.
Furthermore, it turns out that under an SU(2,1) Kinnersley transformation,
which maps the Schwarzschild solution into the near horizon limit AdS_2 x S^2
of the extremal Reissner-Nordstr"om black hole (with the same entropy), the
Schwarzschild hidden symmetry generators become exactly the isometries of the
AdS_2 factor. Finally, we use the SL(2,R) symmetry to determine algebraically
the quasinormal frequencies of the Schwarzschild black hole, and show that this
yields the correct leading behaviour for large damping.
|
[
{
"created": "Mon, 6 Jun 2011 09:35:07 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2011 10:17:20 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Feb 2012 08:11:37 GMT",
"version": "v3"
}
] |
2013-05-30
|
[
[
"Bertini",
"Stefano",
""
],
[
"Cacciatori",
"Sergio L.",
""
],
[
"Klemm",
"Dietmar",
""
]
] |
We show that the scalar wave equation at low frequencies in the Schwarzschild geometry enjoys a hidden SL(2,R) invariance, which is not inherited from an underlying symmetry of the spacetime itself. Contrary to what happens for Kerr black holes, the vector fields generating the SL(2,R) are globally defined. Furthermore, it turns out that under an SU(2,1) Kinnersley transformation, which maps the Schwarzschild solution into the near horizon limit AdS_2 x S^2 of the extremal Reissner-Nordstr"om black hole (with the same entropy), the Schwarzschild hidden symmetry generators become exactly the isometries of the AdS_2 factor. Finally, we use the SL(2,R) symmetry to determine algebraically the quasinormal frequencies of the Schwarzschild black hole, and show that this yields the correct leading behaviour for large damping.
|
2108.07702
|
Erick Chac\'on
|
Erick Chac\'on, Andres Luna and Chris D. White
|
The double copy of the multipole expansion
|
9 pages plus references, 1 figure
| null |
10.1103/PhysRevD.106.086020
|
QMUL-PH-21-35
|
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the classical double copy, that relates solutions of biadjoint
scalar, gauge and gravity theories. Using a recently developed twistor
expression of this idea, we use well-established techniques to show that the
multipole moments of arbitrary vacuum type D gravity fields are
straightforwardly mapped to their counterparts in gauge and biadjoint scalar
theory by the single and zeroth copies. We cross-check our results using
previously obtained results for the Kerr metric. Our results provide further
physical intuition of how the double copy operates.
|
[
{
"created": "Tue, 17 Aug 2021 15:47:35 GMT",
"version": "v1"
}
] |
2022-11-09
|
[
[
"Chacón",
"Erick",
""
],
[
"Luna",
"Andres",
""
],
[
"White",
"Chris D.",
""
]
] |
We consider the classical double copy, that relates solutions of biadjoint scalar, gauge and gravity theories. Using a recently developed twistor expression of this idea, we use well-established techniques to show that the multipole moments of arbitrary vacuum type D gravity fields are straightforwardly mapped to their counterparts in gauge and biadjoint scalar theory by the single and zeroth copies. We cross-check our results using previously obtained results for the Kerr metric. Our results provide further physical intuition of how the double copy operates.
|
1207.0611
|
Albrecht Klemm
|
Albrecht Klemm, Marcos Marino, Marc Schiereck and Masoud Soroush
|
ABJM Wilson loops in the Fermi gas approach
|
48 pages, 2 figures, expansion (2.110) and typos corrected, slight
improvements of the presentation
| null | null |
Bonn-TH-12-12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The matrix model of ABJM theory can be formulated in terms of a Fermi gas in
an external potential. We show that, in this formalism, vevs of Wilson loops
correspond to averages of operators in the statistical-mechanical problem. This
makes it possible to calculate these vevs at all orders in 1/N, up to
exponentially small corrections, and for arbitrary Chern-Simons coupling, by
using the WKB expansion. We present explicit results for the vevs of 1/6 and
the 1/2 BPS Wilson loops, at any winding number, in terms of Airy functions.
Our expressions are shown to reproduce the low genus results obtained
previously in the 't Hooft expansion.
|
[
{
"created": "Tue, 3 Jul 2012 08:58:52 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2013 17:58:53 GMT",
"version": "v2"
}
] |
2015-03-20
|
[
[
"Klemm",
"Albrecht",
""
],
[
"Marino",
"Marcos",
""
],
[
"Schiereck",
"Marc",
""
],
[
"Soroush",
"Masoud",
""
]
] |
The matrix model of ABJM theory can be formulated in terms of a Fermi gas in an external potential. We show that, in this formalism, vevs of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes it possible to calculate these vevs at all orders in 1/N, up to exponentially small corrections, and for arbitrary Chern-Simons coupling, by using the WKB expansion. We present explicit results for the vevs of 1/6 and the 1/2 BPS Wilson loops, at any winding number, in terms of Airy functions. Our expressions are shown to reproduce the low genus results obtained previously in the 't Hooft expansion.
|
0909.0271
|
Michael Lennek
|
Elias Kiritsis, Michael Lennek, Bert Schellekens
|
SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton
Decay
|
37 pages (v2) References added. Brief discussion of F-theory refined
|
Nucl.Phys.B829:298-324,2010
|
10.1016/j.nuclphysb.2009.12.012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a large class of SU(5) orientifold vacua with tadpole
cancellation both for the standard and the flipped case. We give a general
analysis of superpotential couplings up to quartic order in orientifold vacua
and identify the properties of needed Yukawa couplings as well as the baryon
number violating couplings. We point out that successful generation of the
perturbatively forbidden Yukawa couplings entails a generically disastrous rate
for proton decay from an associated quartic term in the superpotential,
generated from the same instanton effects. We search for the appropriate
instanton effects that generate the missing Yukawa couplings in the SU(5) vacua
we constructed and find them in a small subset of them.
|
[
{
"created": "Tue, 1 Sep 2009 20:04:46 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2009 10:30:16 GMT",
"version": "v2"
}
] |
2010-01-21
|
[
[
"Kiritsis",
"Elias",
""
],
[
"Lennek",
"Michael",
""
],
[
"Schellekens",
"Bert",
""
]
] |
We construct a large class of SU(5) orientifold vacua with tadpole cancellation both for the standard and the flipped case. We give a general analysis of superpotential couplings up to quartic order in orientifold vacua and identify the properties of needed Yukawa couplings as well as the baryon number violating couplings. We point out that successful generation of the perturbatively forbidden Yukawa couplings entails a generically disastrous rate for proton decay from an associated quartic term in the superpotential, generated from the same instanton effects. We search for the appropriate instanton effects that generate the missing Yukawa couplings in the SU(5) vacua we constructed and find them in a small subset of them.
|
hep-th/0107053
|
Larisa Jonke
|
Velimir Bardek, Larisa Jonke, Stjepan Meljanac, and Marijan Milekovic
|
Calogero model, deformed oscillators and the collapse
|
Revtex, 7 pages, final version, to appear in PLB
|
Phys. Lett. B 531 (2002) 311-315
|
10.1016/S0370-2693(02)01481-8
| null |
hep-th
| null |
We discuss the behavior of the Calogero model and the related model of
deformed oscillators with the S_N extended Heisenberg algebra for a special
value of the constant of interaction/statistical parameter nu. The problem with
finite number of deformed oscillators is analyzed in the algebraic approach,
while collective-field theory has been used to investigate the large-N limit.
In this limit, system reduces to a large number of collapsing (free) particles,
for nu=-1/N.
|
[
{
"created": "Fri, 6 Jul 2001 14:47:04 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2001 14:54:55 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Dec 2001 15:30:14 GMT",
"version": "v3"
},
{
"created": "Fri, 15 Feb 2002 15:41:07 GMT",
"version": "v4"
},
{
"created": "Wed, 20 Feb 2002 17:58:50 GMT",
"version": "v5"
}
] |
2009-11-07
|
[
[
"Bardek",
"Velimir",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Milekovic",
"Marijan",
""
]
] |
We discuss the behavior of the Calogero model and the related model of deformed oscillators with the S_N extended Heisenberg algebra for a special value of the constant of interaction/statistical parameter nu. The problem with finite number of deformed oscillators is analyzed in the algebraic approach, while collective-field theory has been used to investigate the large-N limit. In this limit, system reduces to a large number of collapsing (free) particles, for nu=-1/N.
|
0807.0960
|
Maja Buric
|
Maja Buric, John Madore
|
Spherically Symmetric Noncommutative Space: d = 4
|
14 pages
|
Eur.Phys.J.C58:347-353,2008
|
10.1140/epjc/s10052-008-0748-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to find a noncommutative analog of Schwarzschild or
Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces
generated by four noncommutative coordinates in the frame formalism. We present
two solutions which however do not posess the prescribed commutative limit. Our
analysis indicates that the appropriate noncommutative space might be found as
a subspace of a higher-dimensional space.
|
[
{
"created": "Mon, 7 Jul 2008 10:24:09 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Buric",
"Maja",
""
],
[
"Madore",
"John",
""
]
] |
In order to find a noncommutative analog of Schwarzschild or Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces generated by four noncommutative coordinates in the frame formalism. We present two solutions which however do not posess the prescribed commutative limit. Our analysis indicates that the appropriate noncommutative space might be found as a subspace of a higher-dimensional space.
|
2404.01898
|
Andrei Zotov
|
A. Zotov
|
Non-ultralocal classical r-matrix structure for 1+1 field analogue of
elliptic Calogero-Moser model
|
26 pages, some comments and Appendix added
|
J. Phys. A: Math. Theor. 57 (2024) 315201 (28pp)
|
10.1088/1751-8121/ad5ee1
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider 1+1 field generalization of the elliptic Calogero-Moser model. It
is shown that the Lax connection satisfies the classical non-ultralocal
$r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of
the spin Calogero-Moser model and its multipole (or multispin) extension.
Finally, we discuss the field analogue of the classical IRF-Vertex
correspondence, which relates utralocal and non-ultralocal $r$-matrix
structures.
|
[
{
"created": "Tue, 2 Apr 2024 12:38:15 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jun 2024 16:03:45 GMT",
"version": "v2"
}
] |
2024-07-23
|
[
[
"Zotov",
"A.",
""
]
] |
We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal $r$-matrix structures.
|
1507.04922
|
Joseph Novak
|
Sergei M. Kuzenko and Joseph Novak
|
On curvature squared terms in N = 2 supergravity
|
15 pages; V2: 17 pages, typos corrected, discussion comments and
acknowledgement added; V3: published version
|
Phys. Rev. D 92, 085033 (2015)
|
10.1103/PhysRevD.92.085033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the N = 2 supersymmetric completion of a scalar curvature squared
term in a completely gauge independent form. We also elaborate on its component
structure.
|
[
{
"created": "Fri, 17 Jul 2015 11:07:07 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2015 04:23:33 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Oct 2015 10:07:15 GMT",
"version": "v3"
}
] |
2015-10-28
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Novak",
"Joseph",
""
]
] |
We present the N = 2 supersymmetric completion of a scalar curvature squared term in a completely gauge independent form. We also elaborate on its component structure.
|
hep-th/9212131
|
Kenji Ikegami
|
R. Mochizuki and K. Yoshida
|
Large N Limit on Langevin Equation: Two-Dimensional Nonlinear Sigma
Model
|
8 pages (Plain TeX), CHIBA-EP-63-Rev
|
Prog.Theor.Phys. 89 (1993) 275-280
|
10.1143/ptp/89.1.275
| null |
hep-th
| null |
We study the stochastic quantization of two-dimensional nonlinear sigma model
in the large $N$ limit. Our main tool is the {\it effective} Langevin equation
with which we investigate nonperturbative phenomena and derive the results
which are same as the path integral approach gives.
|
[
{
"created": "Tue, 22 Dec 1992 08:23:59 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Mochizuki",
"R.",
""
],
[
"Yoshida",
"K.",
""
]
] |
We study the stochastic quantization of two-dimensional nonlinear sigma model in the large $N$ limit. Our main tool is the {\it effective} Langevin equation with which we investigate nonperturbative phenomena and derive the results which are same as the path integral approach gives.
|
hep-th/9404017
|
Castanos Garza Octavio-ICNUC
|
O. Casta\~nos, R. L\'opez-Pe\~na and V.I. Man'ko
|
Squeezing in a 2-D generalized oscillator
|
LaTeX, 5 pages, preprint of Instituto de Ciencias Nucleares, UNAM
Departamento de F\ii sica and Matem\'aticas Aplicadas, No. 02 (1994)
| null | null | null |
hep-th
| null |
A two-dimensional generalized oscillator with time-dependent parameters is
considered to study the two-mode squeezing phenomena. Specific choices of the
parameters are used to determine the dispersion matrix and analytic
expressions, in terms of standard hermite polynomials, of the wavefunctions and
photon distributions. (to be publish in the Third Workshop on Squeezed States
and Uncertainty Relations, Baltimore, USA, (August 1993))
|
[
{
"created": "Tue, 5 Apr 1994 00:16:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Castaños",
"O.",
""
],
[
"López-Peña",
"R.",
""
],
[
"Man'ko",
"V. I.",
""
]
] |
A two-dimensional generalized oscillator with time-dependent parameters is considered to study the two-mode squeezing phenomena. Specific choices of the parameters are used to determine the dispersion matrix and analytic expressions, in terms of standard hermite polynomials, of the wavefunctions and photon distributions. (to be publish in the Third Workshop on Squeezed States and Uncertainty Relations, Baltimore, USA, (August 1993))
|
1308.4829
|
Alasdair Routh
|
Chris D. A. Blair, Emanuel Malek and Alasdair J. Routh
|
An O(D,D) Invariant Hamiltonian Action for the Superstring
|
21 pages, v2: minor changes in section 2, refs added
|
Class.Quant.Grav. 31 (2014) 20, 205011
|
10.1088/0264-9381/31/20/205011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct O(D,D) invariant actions for the bosonic string and RNS
superstring, using Hamiltonian methods and ideas from double field theory. In
this framework the doubled coordinates of double field theory appear as
coordinates on phase space and T-duality becomes a canonical transformation.
Requiring the algebra of constraints to close leads to the section condition,
which splits the phase space coordinates into spacetime coordinates and
momenta.
|
[
{
"created": "Thu, 22 Aug 2013 11:41:29 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2014 14:11:57 GMT",
"version": "v2"
}
] |
2015-12-14
|
[
[
"Blair",
"Chris D. A.",
""
],
[
"Malek",
"Emanuel",
""
],
[
"Routh",
"Alasdair J.",
""
]
] |
We construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory. In this framework the doubled coordinates of double field theory appear as coordinates on phase space and T-duality becomes a canonical transformation. Requiring the algebra of constraints to close leads to the section condition, which splits the phase space coordinates into spacetime coordinates and momenta.
|
1804.11330
|
Omar Rodr\'iguez-Tzompantzi
|
Omar Rodr\'iguez-Tzompantzi
|
Constrained dynamics of two interacting relativistic particles in the
Faddeev-Jackiw symplectic framework
| null |
Eur. Phys. J. Plus (2018) 133: 169
|
10.1140/epjp/i2018-11994-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Faddeev-Jackiw symplectic formalism for constrained systems is applied to
analyze the dynamical content of a model describing two massive relativistic
particles with interaction, which can also be interpreted as a bigravity model
in one dimension. We systematically investigate the nature of the physical
constraints, for which we also determine the zero-modes structure of the
corresponding symplectic matrix. After identifying the whole set of
constraints, we find out the transformation laws for all the set of dynamical
variables corresponding to gauge symmetries, encoded in the remaining
zero-modes. In addition, we use an appropriate gauge-fixing procedure, the
conformal gauge, to compute the quantization brackets (Faddeev-Jackiw brackets)
and also obtain the number of physical degree of freedom. Finally, we argue
that this symplectic approach can be helpful for assessing physical constraints
and understanding the gauge structure of theories of interacting spin-2 fields.
|
[
{
"created": "Mon, 30 Apr 2018 17:26:19 GMT",
"version": "v1"
}
] |
2018-05-08
|
[
[
"Rodríguez-Tzompantzi",
"Omar",
""
]
] |
The Faddeev-Jackiw symplectic formalism for constrained systems is applied to analyze the dynamical content of a model describing two massive relativistic particles with interaction, which can also be interpreted as a bigravity model in one dimension. We systematically investigate the nature of the physical constraints, for which we also determine the zero-modes structure of the corresponding symplectic matrix. After identifying the whole set of constraints, we find out the transformation laws for all the set of dynamical variables corresponding to gauge symmetries, encoded in the remaining zero-modes. In addition, we use an appropriate gauge-fixing procedure, the conformal gauge, to compute the quantization brackets (Faddeev-Jackiw brackets) and also obtain the number of physical degree of freedom. Finally, we argue that this symplectic approach can be helpful for assessing physical constraints and understanding the gauge structure of theories of interacting spin-2 fields.
|
0802.3508
|
Daisuke Yamada
|
Daiske Yamada
|
Fragmentation of Spinning Branes
|
16 pages + appendices; v2 is the published version with no essential
change from v1 but a reference added
|
Class.Quant.Grav.25:145006,2008
|
10.1088/0264-9381/25/14/145006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The near-horizon geometries of the spinning D3-, M2- and M5-branes are
examined by the probes immersed in a co-rotating frame. It is found that the
geometries become unstable at critical values of the spin angular velocity by
emitting the branes. We show that this instability corresponds to the
metastability of the black hole systems and different from the known (local)
thermodynamic instability. For the D3 case, the instability found here is in
complete agreement with the known metastability of the N=4 super-Yang-Mills
theory with R-symmetry chemical potentials.
|
[
{
"created": "Sun, 24 Feb 2008 13:40:04 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2008 05:41:34 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Yamada",
"Daiske",
""
]
] |
The near-horizon geometries of the spinning D3-, M2- and M5-branes are examined by the probes immersed in a co-rotating frame. It is found that the geometries become unstable at critical values of the spin angular velocity by emitting the branes. We show that this instability corresponds to the metastability of the black hole systems and different from the known (local) thermodynamic instability. For the D3 case, the instability found here is in complete agreement with the known metastability of the N=4 super-Yang-Mills theory with R-symmetry chemical potentials.
|
2005.02413
|
Edoardo Lauria El
|
Edoardo Lauria, Pedro Liendo, Balt C. van Rees, Xiang Zhao
|
Line and surface defects for the free scalar field
|
41 pages. v3: matches journal version
| null |
10.1007/JHEP01(2021)060
|
CPHT-RR003.012021
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a single free scalar field in $d \geq 2$ dimensions, almost all the
unitary conformal defects must be `trivial' in the sense that they cannot hold
interesting dynamics. The only possible exceptions are monodromy defects in $d
\geq 4$ and co-dimension three defects in $d \geq 5$. As an intermediate result
we show that the $n$-point correlation functions of a conformal theory with a
generalized free spectrum must be those of the generalized free theory.
|
[
{
"created": "Tue, 5 May 2020 18:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 26 May 2020 16:23:27 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Dec 2020 12:21:47 GMT",
"version": "v3"
}
] |
2021-05-03
|
[
[
"Lauria",
"Edoardo",
""
],
[
"Liendo",
"Pedro",
""
],
[
"van Rees",
"Balt C.",
""
],
[
"Zhao",
"Xiang",
""
]
] |
For a single free scalar field in $d \geq 2$ dimensions, almost all the unitary conformal defects must be `trivial' in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in $d \geq 4$ and co-dimension three defects in $d \geq 5$. As an intermediate result we show that the $n$-point correlation functions of a conformal theory with a generalized free spectrum must be those of the generalized free theory.
|
0707.0243
|
Emery Sokatchev
|
J.M. Drummond, G.P. Korchemsky and E. Sokatchev
|
Conformal properties of four-gluon planar amplitudes and Wilson loops
|
25 pages, 6 figures; v3: minor corrections, references added
| null |
10.1016/j.nuclphysb.2007.11.041
|
LAPTH-1192/07, LPT-Orsay-07-46
|
hep-th hep-ph
| null |
We present further evidence for a dual conformal symmetry in the four-gluon
planar scattering amplitude in N=4 SYM. We show that all the momentum integrals
appearing in the perturbative on-shell calculations up to five loops are dual
to true conformal integrals, well defined off shell. Assuming that the complete
off-shell amplitude has this dual conformal symmetry and using the basic
properties of factorization of infrared divergences, we derive the special form
of the finite remainder previously found at weak coupling and recently
reproduced at strong coupling by AdS/CFT. We show that the same finite term
appears in a weak coupling calculation of a Wilson loop whose contour consists
of four light-like segments associated with the gluon momenta. We also
demonstrate that, due to the special form of the finite remainder, the
asymptotic Regge limit of the four-gluon amplitude coincides with the exact
expression evaluated for arbitrary values of the Mandelstam variables.
|
[
{
"created": "Mon, 2 Jul 2007 19:08:53 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2007 16:31:19 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jan 2008 17:12:41 GMT",
"version": "v3"
}
] |
2009-11-13
|
[
[
"Drummond",
"J. M.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N=4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to five loops are dual to true conformal integrals, well defined off shell. Assuming that the complete off-shell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite term appears in a weak coupling calculation of a Wilson loop whose contour consists of four light-like segments associated with the gluon momenta. We also demonstrate that, due to the special form of the finite remainder, the asymptotic Regge limit of the four-gluon amplitude coincides with the exact expression evaluated for arbitrary values of the Mandelstam variables.
|
2205.13250
|
\'Alvaro Pastor Guti\'errez
|
\'Alvaro Pastor-Guti\'errez, Masatoshi Yamada
|
UV completion of extradimensional Yang-Mills theory for Gauge-Higgs
unification
|
41 pages, 9 figures. v4: Published version
|
SciPost Phys. 15, 101 (2023)
|
10.21468/SciPostPhys.15.3.101
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The $SU(N)$ Yang-Mills theory in $\mathbb R^4\times S^1$ spacetime is studied
as a simple toy model of Gauge-Higgs unification. The theory is perturbatively
nonrenormalizable but could be formulated as an asymptotically safe theory,
namely a nonperturbatively renormalizable theory. We study the fixed point
structure of the Yang-Mills theory in $\mathbb R^4\times S^1$ by using the
functional renormalization group in the background field approximation. We
derive the functional flow equations for the gauge coupling and the background
gauge-field potential. There exists a nontrivial fixed point for both couplings
at finite compactification radii. At the fixed point, gauge coupling and vacuum
energy are both relevant. The renormalization group flow of the gauge coupling
describes the smooth transition between the ultraviolet asymptotically safe
regime and the strong interacting infrared limit.
|
[
{
"created": "Thu, 26 May 2022 09:37:17 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jun 2022 10:39:46 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Jul 2022 17:29:09 GMT",
"version": "v3"
},
{
"created": "Mon, 14 Aug 2023 18:00:01 GMT",
"version": "v4"
}
] |
2023-09-20
|
[
[
"Pastor-Gutiérrez",
"Álvaro",
""
],
[
"Yamada",
"Masatoshi",
""
]
] |
The $SU(N)$ Yang-Mills theory in $\mathbb R^4\times S^1$ spacetime is studied as a simple toy model of Gauge-Higgs unification. The theory is perturbatively nonrenormalizable but could be formulated as an asymptotically safe theory, namely a nonperturbatively renormalizable theory. We study the fixed point structure of the Yang-Mills theory in $\mathbb R^4\times S^1$ by using the functional renormalization group in the background field approximation. We derive the functional flow equations for the gauge coupling and the background gauge-field potential. There exists a nontrivial fixed point for both couplings at finite compactification radii. At the fixed point, gauge coupling and vacuum energy are both relevant. The renormalization group flow of the gauge coupling describes the smooth transition between the ultraviolet asymptotically safe regime and the strong interacting infrared limit.
|
1211.6614
|
Brett D. Altschul
|
Brett Altschul
|
Lorentz and CPT Violation in Scalar-Mediated Potentials
|
16 pages
|
Phys. Rev. D 87, 045012 (2013)
|
10.1103/PhysRevD.87.045012
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Lorentz- and CPT-violating effective field theories involving scalar and
spinor fields, there exist forms of Lorentz violation that modify only the
scalar-spinor Yukawa interaction vertices. These affect low-energy fermion and
antifermion scattering processes through modifications to the nonrelativistic
Yukawa potentials. The modified potentials involve novel combinations of
momentum, spin, and Lorentz-violating background tensors.
|
[
{
"created": "Wed, 28 Nov 2012 14:38:05 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2013 16:03:35 GMT",
"version": "v2"
}
] |
2013-05-21
|
[
[
"Altschul",
"Brett",
""
]
] |
In Lorentz- and CPT-violating effective field theories involving scalar and spinor fields, there exist forms of Lorentz violation that modify only the scalar-spinor Yukawa interaction vertices. These affect low-energy fermion and antifermion scattering processes through modifications to the nonrelativistic Yukawa potentials. The modified potentials involve novel combinations of momentum, spin, and Lorentz-violating background tensors.
|
hep-th/0001175
|
Falk Bruckmann
|
F. Bruckmann, T. Heinzl, T. Tok, A. Wipf
|
Instantons and Gribov Copies in the Maximally Abelian Gauge
|
31 pages, 8 figures, v3: references added
|
Nucl.Phys. B584 (2000) 589-614
|
10.1016/S0550-3213(00)00355-2
|
FSU TPI 01/00
|
hep-th hep-lat
| null |
We calculate the Faddeev-Popov operator corresponding to the maximally
Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit
zero modes of this operator. Within an illuminating toy model (Yang-Mills
mechanics) the problem can be completely solved and understood. In the field
theory case we are able to find an analytic expression for a normalizable zero
mode in the background of a single `t Hooft instanton. Accordingly, such an
instanton corresponds to a horizon configuration in the maximally Abelian
gauge. Possible physical implications are discussed.
|
[
{
"created": "Wed, 26 Jan 2000 16:48:17 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2000 15:57:42 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Mar 2000 15:14:03 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Bruckmann",
"F.",
""
],
[
"Heinzl",
"T.",
""
],
[
"Tok",
"T.",
""
],
[
"Wipf",
"A.",
""
]
] |
We calculate the Faddeev-Popov operator corresponding to the maximally Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit zero modes of this operator. Within an illuminating toy model (Yang-Mills mechanics) the problem can be completely solved and understood. In the field theory case we are able to find an analytic expression for a normalizable zero mode in the background of a single `t Hooft instanton. Accordingly, such an instanton corresponds to a horizon configuration in the maximally Abelian gauge. Possible physical implications are discussed.
|
hep-th/0203155
|
Vicari
|
Stefano Profumo, Ettore Vicari
|
Twisted Eguchi-Kawai Reduced Chiral Models
|
16 pages
|
JHEP 0205:014,2002
|
10.1088/1126-6708/2002/05/014
| null |
hep-th hep-lat
| null |
We study the twisted Eguchi-Kawai (TEK) reduction procedure for large-N
unitary matrix lattice models. In particular, we consider the case of
two-dimensional principal chiral models, and use numerical Monte Carlo (MC)
simulations to check the conjectured equivalence of TEK reduced model and
standard lattice model in the large-N limit. The MC results are compared with
the large-N limit of lattice principal chiral models to verify the supposed
equivalence. The consistency of the TEK reduction procedure is verified in the
strong-coupling region, i.e. for $\beta<\beta_c$ where $\beta_c$ is the
location of the large-N phase transition. On the other hand, in the
weak-coupling regime $\beta>\beta_c$, relevant for the continuum limit, our MC
results do not support the equivalence of the large-N limits of the lattice
chiral model and the corresponding TEK reduction. The implications for the
correspondence between TEK model and noncommutative field theory are also
discussed.
|
[
{
"created": "Mon, 18 Mar 2002 08:10:04 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Profumo",
"Stefano",
""
],
[
"Vicari",
"Ettore",
""
]
] |
We study the twisted Eguchi-Kawai (TEK) reduction procedure for large-N unitary matrix lattice models. In particular, we consider the case of two-dimensional principal chiral models, and use numerical Monte Carlo (MC) simulations to check the conjectured equivalence of TEK reduced model and standard lattice model in the large-N limit. The MC results are compared with the large-N limit of lattice principal chiral models to verify the supposed equivalence. The consistency of the TEK reduction procedure is verified in the strong-coupling region, i.e. for $\beta<\beta_c$ where $\beta_c$ is the location of the large-N phase transition. On the other hand, in the weak-coupling regime $\beta>\beta_c$, relevant for the continuum limit, our MC results do not support the equivalence of the large-N limits of the lattice chiral model and the corresponding TEK reduction. The implications for the correspondence between TEK model and noncommutative field theory are also discussed.
|
1310.4877
|
Shinya Gongyo
|
Shinya Gongyo and Hideaki Iida
|
Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)$_3$
Landau Gauge
| null |
Phys. Rev. D 89, 025022 (2014) [8 pages]
|
10.1103/PhysRevD.89.025022
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the local Gribov-Zwanziger action for SU(2) Euclidean Yang-Mills
theories in the maximally Abelian (MA) gauge with U(1)$_3$ Landau gauge fixing
based on the Zwanziger's work in the Landau gauge. By the restriction of the
functional integral region to the Gribov region in the MA gauge, we give the
nonlocal action. We localize the action with new fields and obtain the action
with the shift of the new scalar fields, which has the terms, corresponding to
the localized action of the horizon function in the MA gauge. The diagonal
gluon propagator in the MA gauge at tree level behaves like the propagator from
Gribov-Zwanziger action in the Landau gauge and shows the violation of
Kallen-Lehmann representation.
|
[
{
"created": "Fri, 18 Oct 2013 00:04:38 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Nov 2013 20:10:58 GMT",
"version": "v2"
}
] |
2014-02-10
|
[
[
"Gongyo",
"Shinya",
""
],
[
"Iida",
"Hideaki",
""
]
] |
We construct the local Gribov-Zwanziger action for SU(2) Euclidean Yang-Mills theories in the maximally Abelian (MA) gauge with U(1)$_3$ Landau gauge fixing based on the Zwanziger's work in the Landau gauge. By the restriction of the functional integral region to the Gribov region in the MA gauge, we give the nonlocal action. We localize the action with new fields and obtain the action with the shift of the new scalar fields, which has the terms, corresponding to the localized action of the horizon function in the MA gauge. The diagonal gluon propagator in the MA gauge at tree level behaves like the propagator from Gribov-Zwanziger action in the Landau gauge and shows the violation of Kallen-Lehmann representation.
|
hep-th/0403011
|
Terry Gannon
|
Matthias R. Gaberdiel and Terry Gannon
|
D-brane charges on non-simply connected groups
|
31 pages, 1 figure. 2 refs added. Added the observation: the charge
group for each su(2) theory equals the centre of corresponding A-D-E group
|
JHEP 0404 (2004) 030
|
10.1088/1126-6708/2004/04/030
| null |
hep-th
| null |
The maximally symmetric D-branes of string theory on the non-simply connected
Lie group SU(n)/Z_d are analysed using conformal field theory methods, and
their charges are determined. Unlike the well understood case for simply
connected groups, the charge equations do not determine the charges uniquely,
and the charge group associated to these D-branes is therefore in general not
cyclic. The precise structure of the charge group depends on some number
theoretic properties of n, d, and the level of the underlying affine algebra k.
The examples of SO(3)=SU(2)/Z_2 and SU(3)/Z_3 are worked out in detail, and the
charge groups for SU(n)/Z_d at most levels k are determined explicitly.
|
[
{
"created": "Sat, 28 Feb 2004 19:55:35 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Apr 2004 14:39:42 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Gannon",
"Terry",
""
]
] |
The maximally symmetric D-branes of string theory on the non-simply connected Lie group SU(n)/Z_d are analysed using conformal field theory methods, and their charges are determined. Unlike the well understood case for simply connected groups, the charge equations do not determine the charges uniquely, and the charge group associated to these D-branes is therefore in general not cyclic. The precise structure of the charge group depends on some number theoretic properties of n, d, and the level of the underlying affine algebra k. The examples of SO(3)=SU(2)/Z_2 and SU(3)/Z_3 are worked out in detail, and the charge groups for SU(n)/Z_d at most levels k are determined explicitly.
|
1608.02040
|
Jennifer Lin
|
Jennifer Lin
|
A Toy Model of Entwinement
|
23 pages. v2: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Entwinement is the entanglement entropy of a subset of gauge-variant degrees
of freedom in a certain twisted state of an orbifold CFT, defined by embedding
the state in a larger Hilbert space with some gauge constraints removed. We
propose an intrinsically gauge-invariant, algebraic definition of entwinement.
Our main piece of evidence is a computation showing that, in a spin system that
resembles the orbifold CFT, the analog of entwinement is the entanglement
entropy of a gauge-invariant subalgebra, which we identify. We review why
entwinement is relevant for the conjecture that entanglement builds spacetime.
|
[
{
"created": "Fri, 5 Aug 2016 23:15:57 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Aug 2016 11:49:57 GMT",
"version": "v2"
}
] |
2016-08-16
|
[
[
"Lin",
"Jennifer",
""
]
] |
Entwinement is the entanglement entropy of a subset of gauge-variant degrees of freedom in a certain twisted state of an orbifold CFT, defined by embedding the state in a larger Hilbert space with some gauge constraints removed. We propose an intrinsically gauge-invariant, algebraic definition of entwinement. Our main piece of evidence is a computation showing that, in a spin system that resembles the orbifold CFT, the analog of entwinement is the entanglement entropy of a gauge-invariant subalgebra, which we identify. We review why entwinement is relevant for the conjecture that entanglement builds spacetime.
|
hep-th/0309270
|
Eric R. Sharpe
|
R. Donagi, S. Katz, E. Sharpe
|
Spectra of D-branes with Higgs vevs
|
46 pages, LaTeX; v2: typos fixed; v3: more typos fixed
|
Adv.Theor.Math.Phys. 8 (2005) 813-859
|
10.4310/ATMP.2004.v8.n5.a3
|
ILL-(TH)-03-09
|
hep-th math.AG
| null |
In this paper we continue previous work on counting open string states
between D-branes by considering open strings between D-branes with nonzero
Higgs vevs, and in particular, nilpotent Higgs vevs, as arise, for example,
when studying D-branes in orbifolds. Ordinarily Higgs vevs can be interpreted
as moving the D-brane, but nilpotent Higgs vevs have zero eigenvalues, and so
their interpretation is more interesting -- for example, they often correspond
to nonreduced schemes, which furnishes an important link in understanding old
results relating classical D-brane moduli spaces in orbifolds to Hilbert
schemes, resolutions of quotient spaces, and the McKay correspondence. We give
a sheaf-theoretic description of D-branes with Higgs vevs, including nilpotent
Higgs vevs, and check that description by noting that Ext groups between the
sheaves modelling the D-branes, do in fact correctly count open string states.
In particular, our analysis expands the types of sheaves which admit on-shell
physical interpretations, which is an important step for making derived
categories useful for physics.
|
[
{
"created": "Tue, 30 Sep 2003 17:36:52 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2003 14:01:12 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Apr 2004 21:05:32 GMT",
"version": "v3"
}
] |
2016-08-29
|
[
[
"Donagi",
"R.",
""
],
[
"Katz",
"S.",
""
],
[
"Sharpe",
"E.",
""
]
] |
In this paper we continue previous work on counting open string states between D-branes by considering open strings between D-branes with nonzero Higgs vevs, and in particular, nilpotent Higgs vevs, as arise, for example, when studying D-branes in orbifolds. Ordinarily Higgs vevs can be interpreted as moving the D-brane, but nilpotent Higgs vevs have zero eigenvalues, and so their interpretation is more interesting -- for example, they often correspond to nonreduced schemes, which furnishes an important link in understanding old results relating classical D-brane moduli spaces in orbifolds to Hilbert schemes, resolutions of quotient spaces, and the McKay correspondence. We give a sheaf-theoretic description of D-branes with Higgs vevs, including nilpotent Higgs vevs, and check that description by noting that Ext groups between the sheaves modelling the D-branes, do in fact correctly count open string states. In particular, our analysis expands the types of sheaves which admit on-shell physical interpretations, which is an important step for making derived categories useful for physics.
|
0712.1021
|
Gerardo Aldazabal
|
Gerardo Aldazabal, Anamaria Font
|
A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
|
Latex file, 35 pages, no figures. Reference added, minor corrections
added
|
JHEP0802:086,2008
|
10.1088/1126-6708/2008/02/086
|
IFT-UAM/CSIC-07-58
|
hep-th
| null |
We show that a class of type IIA vacua recently found within the N=4
effective approach corresponds to compactification on Ads_4 \times S^3 \times
S^3/Z_2^3. The results obtained using the effective method completely match the
general ten-dimensional analysis for the existence of N=1 warped
compactifications on Ads_4 \times M_6. In particular, we verify that the
internal metric is nearly-Kahler and that for specific values of the parameters
the Bianchi identity of the RR 2-form is fulfilled without sources. For another
range of parameters, including the massless case, the Bianchi identity is
satisfied when D6-branes are introduced. Solving the tadpole cancellation
conditions in D=4 we are able to find examples of appropriate sets of branes.
In the second part of this paper we describe how an example with internal space
CP^3 but with non nearly-Kahler metric fits into the general analysis of flux
vacua.
|
[
{
"created": "Thu, 6 Dec 2007 18:20:23 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2007 15:19:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Aldazabal",
"Gerardo",
""
],
[
"Font",
"Anamaria",
""
]
] |
We show that a class of type IIA vacua recently found within the N=4 effective approach corresponds to compactification on Ads_4 \times S^3 \times S^3/Z_2^3. The results obtained using the effective method completely match the general ten-dimensional analysis for the existence of N=1 warped compactifications on Ads_4 \times M_6. In particular, we verify that the internal metric is nearly-Kahler and that for specific values of the parameters the Bianchi identity of the RR 2-form is fulfilled without sources. For another range of parameters, including the massless case, the Bianchi identity is satisfied when D6-branes are introduced. Solving the tadpole cancellation conditions in D=4 we are able to find examples of appropriate sets of branes. In the second part of this paper we describe how an example with internal space CP^3 but with non nearly-Kahler metric fits into the general analysis of flux vacua.
|
2405.14971
|
Emil Albrychiewicz
|
Emil Albrychiewicz and Ori J. Ganor
|
Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT
|
Added two references in section 1
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a model of a holographic 2+1d CFT interacting with an oscillating
background gauge field. It is solved by an AdS-Vaidya metric describing Ohmic
heating of the boundary field theory. However, we also show that if timelike
singularities of Kasner type are permitted then a time independent solution
that may be interpreted as a Floquet state of the system can be constructed. In
this state the system exhibits either Hall conductivity or kinetic induction,
and we numerically evaluate the Kasner exponents for a range of boundary
conditions. This model may contribute to the ongoing discussion on the validity
and meaning of the Kasner metric in the AdS/CFT correspondence and its
application in cosmology.
|
[
{
"created": "Thu, 23 May 2024 18:19:17 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 10:22:57 GMT",
"version": "v2"
}
] |
2024-06-04
|
[
[
"Albrychiewicz",
"Emil",
""
],
[
"Ganor",
"Ori J.",
""
]
] |
We consider a model of a holographic 2+1d CFT interacting with an oscillating background gauge field. It is solved by an AdS-Vaidya metric describing Ohmic heating of the boundary field theory. However, we also show that if timelike singularities of Kasner type are permitted then a time independent solution that may be interpreted as a Floquet state of the system can be constructed. In this state the system exhibits either Hall conductivity or kinetic induction, and we numerically evaluate the Kasner exponents for a range of boundary conditions. This model may contribute to the ongoing discussion on the validity and meaning of the Kasner metric in the AdS/CFT correspondence and its application in cosmology.
|
1111.1899
|
Shotaro Shiba
|
Shotaro Shiba
|
Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for
SU(N) quiver
|
32 pages, v2: a reference added
| null |
10.1007/JHEP12(2011)108
|
KEK-TH-1506
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study on the property of 3-point correlation functions of 2-dim A_{N-1}
Toda field theory, and show the correspondence with the 1-loop part of
partition function of 4-dim N=2 SU(N) quiver gauge theory. As a result, we can
check successfully the 1-loop part of AGT-W relation for all the cases of SU(N)
quiver gauge group.
|
[
{
"created": "Tue, 8 Nov 2011 13:13:25 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Dec 2011 10:08:13 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Shiba",
"Shotaro",
""
]
] |
We study on the property of 3-point correlation functions of 2-dim A_{N-1} Toda field theory, and show the correspondence with the 1-loop part of partition function of 4-dim N=2 SU(N) quiver gauge theory. As a result, we can check successfully the 1-loop part of AGT-W relation for all the cases of SU(N) quiver gauge group.
|
hep-th/0610133
|
Jeremy Michelson
|
Andrew Chamblin and Jeremy Michelson
|
Alpha-Vacua, Black Holes, and AdS/CFT
|
40 pages REVTeX and AMSLaTeX, 17 black&white eps figures. v3:
references added. v4: details of the pinch singularity avoidance for the
string quantization of the Rindler space toy model have been added in both
the body of the paper and in a new 7 page appendix. Other clarifications and
references added. This is the version accepted for publication in Class.
Quant. Grav
|
Class.Quant.Grav.24:1569-1604,2007
|
10.1088/0264-9381/24/6/013
|
UK/06-17
|
hep-th
| null |
The Schwarzschild, Schwarzschild-AdS, and Schwarzschild-de Sitter solutions
all admit freely acting discrete involutions which commute with the continuous
symmetries of the spacetimes. Intuitively, these involutions correspond to the
antipodal map of the corresponding spacetimes. In analogy with the ordinary de
Sitter example, this allows us to construct new vacua by performing a
Mottola-Allen transform on the modes associated with the Hartle-Hawking, or
Euclidean, vacuum. These vacua are the `alpha'-vacua for these black holes. The
causal structure of a typical black hole may ameliorate certain difficulties
which are encountered in the case of de Sitter alpha-vacua. For
Schwarzschild-AdS black holes, a Bogoliubov transformation which mixes
operators of the two boundary CFT's provides a construction of the dual CFT
alpha-states. Finally, we analyze the thermal properties of these vacua.
|
[
{
"created": "Wed, 11 Oct 2006 20:31:05 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2006 22:01:04 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Dec 2006 15:51:02 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Feb 2007 14:48:03 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Chamblin",
"Andrew",
""
],
[
"Michelson",
"Jeremy",
""
]
] |
The Schwarzschild, Schwarzschild-AdS, and Schwarzschild-de Sitter solutions all admit freely acting discrete involutions which commute with the continuous symmetries of the spacetimes. Intuitively, these involutions correspond to the antipodal map of the corresponding spacetimes. In analogy with the ordinary de Sitter example, this allows us to construct new vacua by performing a Mottola-Allen transform on the modes associated with the Hartle-Hawking, or Euclidean, vacuum. These vacua are the `alpha'-vacua for these black holes. The causal structure of a typical black hole may ameliorate certain difficulties which are encountered in the case of de Sitter alpha-vacua. For Schwarzschild-AdS black holes, a Bogoliubov transformation which mixes operators of the two boundary CFT's provides a construction of the dual CFT alpha-states. Finally, we analyze the thermal properties of these vacua.
|
2205.04532
|
Stefano Lanza
|
Stefano Lanza, Fernando Marchesano, Luca Martucci, Irene Valenzuela
|
Large Field Distances from EFT strings
|
Contribution to the CORFU2021 proceedings. 13 pages, 4 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In any consistent effective field theory of quantum gravity limits of
infinite field distance are expected to lead to the EFT breakdown due to the
appearance of an infinite tower of light states, as predicted by the Distance
Conjecture. We review the Distant Axionic String Conjecture, which proposes
that any 4d EFT infinite-field-distance limit can be realized as an RG flow of
a fundamental axionic string. The RG flow can be understood in terms of the 4d
backreaction of such a string, and implies that it becomes tensionless towards
the said limit. This property is understood as a shielding mechanism towards
realizing an exact axionic symmetry, and it implies the breakdown of the EFT in
a way that reproduces the Distance Conjecture. Motivated by string theory data
we further propose the Integral Scaling Conjecture, which provides a specific
relation between the string tension and the EFT maximal cut-off set by the
infinite tower of states.
|
[
{
"created": "Mon, 9 May 2022 20:07:14 GMT",
"version": "v1"
}
] |
2022-05-11
|
[
[
"Lanza",
"Stefano",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Martucci",
"Luca",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
In any consistent effective field theory of quantum gravity limits of infinite field distance are expected to lead to the EFT breakdown due to the appearance of an infinite tower of light states, as predicted by the Distance Conjecture. We review the Distant Axionic String Conjecture, which proposes that any 4d EFT infinite-field-distance limit can be realized as an RG flow of a fundamental axionic string. The RG flow can be understood in terms of the 4d backreaction of such a string, and implies that it becomes tensionless towards the said limit. This property is understood as a shielding mechanism towards realizing an exact axionic symmetry, and it implies the breakdown of the EFT in a way that reproduces the Distance Conjecture. Motivated by string theory data we further propose the Integral Scaling Conjecture, which provides a specific relation between the string tension and the EFT maximal cut-off set by the infinite tower of states.
|
0903.2472
|
Tudor Dan Dimofte
|
Tudor Dimofte, Sergei Gukov, Jonatan Lenells, Don Zagier
|
Exact Results for Perturbative Chern-Simons Theory with Complex Gauge
Group
|
60 pages, 9 figures
|
Commun.Num.Theor.Phys.3:363-443,2009
| null | null |
hep-th math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop several methods that allow us to compute all-loop partition
functions in perturbative Chern-Simons theory with complex gauge group G_C,
sometimes in multiple ways. In the background of a non-abelian irreducible flat
connection, perturbative G_C invariants turn out to be interesting topological
invariants, which are very different from finite type (Vassiliev) invariants
obtained in a theory with compact gauge group G. We explore various aspects of
these invariants and present an example where we compute them explicitly to
high loop order. We also introduce a notion of "arithmetic TQFT" and conjecture
(with supporting numerical evidence) that SL(2,C) Chern-Simons theory is an
example of such a theory.
|
[
{
"created": "Fri, 13 Mar 2009 19:50:28 GMT",
"version": "v1"
}
] |
2009-12-10
|
[
[
"Dimofte",
"Tudor",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Lenells",
"Jonatan",
""
],
[
"Zagier",
"Don",
""
]
] |
We develop several methods that allow us to compute all-loop partition functions in perturbative Chern-Simons theory with complex gauge group G_C, sometimes in multiple ways. In the background of a non-abelian irreducible flat connection, perturbative G_C invariants turn out to be interesting topological invariants, which are very different from finite type (Vassiliev) invariants obtained in a theory with compact gauge group G. We explore various aspects of these invariants and present an example where we compute them explicitly to high loop order. We also introduce a notion of "arithmetic TQFT" and conjecture (with supporting numerical evidence) that SL(2,C) Chern-Simons theory is an example of such a theory.
|
hep-th/0005243
|
Daniele Steer
|
Tanmay Vachaspati and Daniele A. Steer
|
Spin and Dualization of SU(5) Dyons
|
9 pages, 1 figure
|
Phys.Rev. D63 (2001) 085008
|
10.1103/PhysRevD.63.085008
|
CWRU-P44-2000, DAMTP-2000-47
|
hep-th hep-ph
| null |
Motivated by the dual standard model, we study the angular momentum spectrum
of stable SU(5) dyons that can be transformed into purely electric states by a
suitable duality rotation i.e. are dualizable. The problem reduces to solving a
Diophantine equation for the holomorphic charges in each topological sector,
but the solutions also have to satisfy certain constraints. We show that these
equations can be solved and sets of dualizable, half-integer spin SU(5) dyons
can be found, each of which corresponds to a single family of the standard
model fermions. We then find two predictions of the dual standard model. First,
the family of half-integer spin, dualizable dyons is accompanied by a set of
dualizable, integer-spin partner states. Secondly, the dyon corresponding to
the electron must necessarily contain non-trivial color internal structure. In
addition, we provide other general results regarding the spectrum of dualizable
dyons and their novel properties, and extend the stability analysis of SU(5)
monopoles used in the dual standard model so far to discuss the stability of
the half-integer spin dyons.
|
[
{
"created": "Thu, 25 May 2000 18:56:21 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Vachaspati",
"Tanmay",
""
],
[
"Steer",
"Daniele A.",
""
]
] |
Motivated by the dual standard model, we study the angular momentum spectrum of stable SU(5) dyons that can be transformed into purely electric states by a suitable duality rotation i.e. are dualizable. The problem reduces to solving a Diophantine equation for the holomorphic charges in each topological sector, but the solutions also have to satisfy certain constraints. We show that these equations can be solved and sets of dualizable, half-integer spin SU(5) dyons can be found, each of which corresponds to a single family of the standard model fermions. We then find two predictions of the dual standard model. First, the family of half-integer spin, dualizable dyons is accompanied by a set of dualizable, integer-spin partner states. Secondly, the dyon corresponding to the electron must necessarily contain non-trivial color internal structure. In addition, we provide other general results regarding the spectrum of dualizable dyons and their novel properties, and extend the stability analysis of SU(5) monopoles used in the dual standard model so far to discuss the stability of the half-integer spin dyons.
|
1312.2021
|
Patrick Cooper
|
Patrick Cooper, Sergei Dubovsky, Ali Mohsen
|
Living with the Wrong Sign
| null |
Phys. Rev. D 89, 084044 (2014)
|
10.1103/PhysRevD.89.084044
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a UV complete asymptotically fragile Lorentz-invariant theory
exhibiting superluminal signal propagation. Its low energy effective action
contains "wrong" sign higher dimensional operators. Nevertheless, the theory
gives rise to an S-matrix, which is defined at all energies. As expected for a
non-local theory, the corresponding scattering amplitudes are not exponentially
bounded on the physical sheet, but otherwise are healthy. We study some of the
physical consequences of this S-matrix.
|
[
{
"created": "Fri, 6 Dec 2013 21:33:40 GMT",
"version": "v1"
}
] |
2014-04-23
|
[
[
"Cooper",
"Patrick",
""
],
[
"Dubovsky",
"Sergei",
""
],
[
"Mohsen",
"Ali",
""
]
] |
We describe a UV complete asymptotically fragile Lorentz-invariant theory exhibiting superluminal signal propagation. Its low energy effective action contains "wrong" sign higher dimensional operators. Nevertheless, the theory gives rise to an S-matrix, which is defined at all energies. As expected for a non-local theory, the corresponding scattering amplitudes are not exponentially bounded on the physical sheet, but otherwise are healthy. We study some of the physical consequences of this S-matrix.
|
hep-th/0306122
|
Kuldeep Kumar
|
Rabin Banerjee, Biswajit Chakraborty and Kuldeep Kumar
|
Membrane and Noncommutativity
|
27 pages, LaTeX, References added, Version to be published in Nucl.
Phys. B
|
Nucl. Phys. B 668 (2003) 179
|
10.1016/j.nuclphysb.2003.07.009
| null |
hep-th
| null |
We analyse the dynamics of an open membrane, both for the free case and when
it is coupled to a background three-form, whose boundary is attached to
$p$-branes. The role of boundary conditions and constraints in the Nambu-Goto
and Polyakov formulations is studied. The low-energy approximation that
effectively reduces the membrane to an open string is examined in detail.
Noncommutative features of the boundary string coordinates, where the
cylindrical membrane is attached to the D$p$-branes, are revealed by algebraic
consistency arguments and not by treating boundary conditions as primary
constraints, as is usually done. The exact form of the noncommutative algebra
is obtained in the low-energy limit.
|
[
{
"created": "Fri, 13 Jun 2003 05:46:06 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Jul 2003 17:16:29 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Chakraborty",
"Biswajit",
""
],
[
"Kumar",
"Kuldeep",
""
]
] |
We analyse the dynamics of an open membrane, both for the free case and when it is coupled to a background three-form, whose boundary is attached to $p$-branes. The role of boundary conditions and constraints in the Nambu-Goto and Polyakov formulations is studied. The low-energy approximation that effectively reduces the membrane to an open string is examined in detail. Noncommutative features of the boundary string coordinates, where the cylindrical membrane is attached to the D$p$-branes, are revealed by algebraic consistency arguments and not by treating boundary conditions as primary constraints, as is usually done. The exact form of the noncommutative algebra is obtained in the low-energy limit.
|
2112.05031
|
Aoibheann Margalit
|
Calvin Y.-R. Chen, Claudia de Rham, Aoibheann Margalit, Andrew J.
Tolley
|
A cautionary case of casual causality
|
28 pages + appendices; v2: typos corrected
| null |
10.1007/JHEP03(2022)025
|
Imperial/TP/2021/CC/1
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We distinguish between the notions of asymptotic causality and infrared
causality for gravitational effective field theories, and show that the latter
gives constraints consistent with gravitational positivity bounds. We
re-explore the scattering of gravitational waves in a spherically symmetric
background in the EFT of gravity in $D\ge 5$, for which the leading-order
correction to Einstein gravity is determined by the Gauss-Bonnet operator. We
reproduce the known result that the truncated effective theory exhibits
apparent time advances relative to the background geometry for specific
polarisations, which naively signal a violation of causality. We show that by
properly identifying the regime of validity of the effective theory, the
apparent time advance can be shown to be unresolvable. To illustrate this, we
identify specific higher-dimension operators in the EFT expansion which become
large for potentially resolvable time advances, rendering the EFT expansion
invalid. Our results demonstrate how staying within the confines of the EFT,
neither infrared nor asymptotic causality are ever violated for
Einstein-Gauss-Bonnet gravity, no matter how low the scale, and furthermore its
causality can be understood without appealing to a precise UV completion such
as string theory.
|
[
{
"created": "Thu, 9 Dec 2021 16:47:06 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2022 12:08:46 GMT",
"version": "v2"
}
] |
2022-03-23
|
[
[
"Chen",
"Calvin Y. -R.",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Margalit",
"Aoibheann",
""
],
[
"Tolley",
"Andrew J.",
""
]
] |
We distinguish between the notions of asymptotic causality and infrared causality for gravitational effective field theories, and show that the latter gives constraints consistent with gravitational positivity bounds. We re-explore the scattering of gravitational waves in a spherically symmetric background in the EFT of gravity in $D\ge 5$, for which the leading-order correction to Einstein gravity is determined by the Gauss-Bonnet operator. We reproduce the known result that the truncated effective theory exhibits apparent time advances relative to the background geometry for specific polarisations, which naively signal a violation of causality. We show that by properly identifying the regime of validity of the effective theory, the apparent time advance can be shown to be unresolvable. To illustrate this, we identify specific higher-dimension operators in the EFT expansion which become large for potentially resolvable time advances, rendering the EFT expansion invalid. Our results demonstrate how staying within the confines of the EFT, neither infrared nor asymptotic causality are ever violated for Einstein-Gauss-Bonnet gravity, no matter how low the scale, and furthermore its causality can be understood without appealing to a precise UV completion such as string theory.
|
hep-th/0408196
|
Francisco Jose Herranz
|
Angel Ballesteros, N. Rossano Bruno and Francisco J. Herranz
|
On 3+1 anti-de Sitter and de Sitter Lie bialgebras with dimensionful
deformation parameters
|
7 pages. Communication presented in the XIII Int.Colloq. Integrable
Systems and Quantum Groups, June 17-19, 2004, Prague, Czech Republic. Some
misprints and dimensions of parameters have been fitted
|
Czech.J.Phys.54:1321-1327,2004
|
10.1007/s10582-004-9795-x
| null |
hep-th math.QA
| null |
We analyze among all possible quantum deformations of the 3+1 (anti)de Sitter
algebras, so(3,2) and so(4,1), which have two specific non-deformed or
primitive commuting operators: the time translation/energy generator and a
rotation. We prove that under these conditions there are only two families of
two-parametric (anti)de Sitter Lie bialgebras. All the deformation parameters
appearing in the bialgebras are dimensionful ones and they may be related to
the Planck length. Some properties conveyed by the corresponding quantum
deformations (zero-curvature and non-relativistic limits, space isotropy,...)
are studied and their dual (first-order) non-commutative spacetimes are also
presented.
|
[
{
"created": "Thu, 26 Aug 2004 09:57:35 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2004 15:46:08 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Ballesteros",
"Angel",
""
],
[
"Bruno",
"N. Rossano",
""
],
[
"Herranz",
"Francisco J.",
""
]
] |
We analyze among all possible quantum deformations of the 3+1 (anti)de Sitter algebras, so(3,2) and so(4,1), which have two specific non-deformed or primitive commuting operators: the time translation/energy generator and a rotation. We prove that under these conditions there are only two families of two-parametric (anti)de Sitter Lie bialgebras. All the deformation parameters appearing in the bialgebras are dimensionful ones and they may be related to the Planck length. Some properties conveyed by the corresponding quantum deformations (zero-curvature and non-relativistic limits, space isotropy,...) are studied and their dual (first-order) non-commutative spacetimes are also presented.
|
1003.2403
|
N. E. J. Bjerrum-Bohr
|
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Thomas Sondergaard and Pierre
Vanhove
|
Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
|
28 pages, 8 figures, JHEP3
|
JHEP 1006:003,2010
|
10.1007/JHEP06(2010)003
|
IPHT-10-030, IHES/P/10/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss monodromy relations between different color-ordered amplitudes in
gauge theories. We show that Jacobi-like relations of Bern, Carrasco and
Johansson can be introduced in a manner that is compatible with these monodromy
relations. The Jacobi-like relations are not the most general set of equations
that satisfy this criterion. Applications to supergravity amplitudes follow
straightforwardly through the KLT-relations. We explicitly show how the
tree-level relations give rise to non-trivial identities at loop level.
|
[
{
"created": "Thu, 11 Mar 2010 19:52:34 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Sondergaard",
"Thomas",
""
],
[
"Vanhove",
"Pierre",
""
]
] |
We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level.
|
1506.03990
|
Sang Pyo Kim
|
Sang Pyo Kim
|
Schwinger Effect, Hawking Radiation and Gauge-Gravity Relation
|
Latex 10 pages, 1 figure, invited talk at International Conference on
Gravitation and Cosmology, KITPC, CAS, May 4-8, 2015
| null |
10.1142/S0217751X15450177
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a unified picture for the Schwinger effect and the Hawking
radiation and address the gauge-gravity relation and the dS-AdS duality issue
at the one-loop level. We propose a thermal interpretation for the Schwinger
effect in an (A)dS space and in an Reissner-Nordstr\"{o}m black hole. The
emission of charged particles from the near-extremal charged black hole is
proportional to the Schwinger effect in an AdS and to another Schwinger effect
in a Rindler space accelerated by the surface gravity.
|
[
{
"created": "Fri, 12 Jun 2015 11:40:43 GMT",
"version": "v1"
}
] |
2015-11-04
|
[
[
"Kim",
"Sang Pyo",
""
]
] |
We present a unified picture for the Schwinger effect and the Hawking radiation and address the gauge-gravity relation and the dS-AdS duality issue at the one-loop level. We propose a thermal interpretation for the Schwinger effect in an (A)dS space and in an Reissner-Nordstr\"{o}m black hole. The emission of charged particles from the near-extremal charged black hole is proportional to the Schwinger effect in an AdS and to another Schwinger effect in a Rindler space accelerated by the surface gravity.
|
2007.02843
|
Boris Merzlikin
|
I.L. Buchbinder, E.A. Ivanov, B.S. Merzlikin, K.V. Stepanyantz
|
The renormalization structure of $6D$, ${\cal N}=(1,0)$ supersymmetric
higher-derivative gauge theory
|
Published version, 16 pages
|
Nucl. Phys. B 961 (2020) 115249
|
10.1016/j.nuclphysb.2020.115249
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the harmonic superspace formulation of higher-derivative $6D$,
${\cal N}=(1,0)$ supersymmetric gauge theory and its minimal coupling to a
hypermultiplet. In components, the kinetic term for the gauge field in such a
theory involves four space-time derivatives.The theory is quantized in the
framework of the superfield background method ensuring manifest $6D$, ${\cal
N}=(1,0)$ supersymmetry and the classical gauge invariance of the quantum
effective action. We evaluate the superficial degree of divergence and prove it
to be independent of the number of loops. Using the regularization by
dimensional reduction, we find possible counterterms and show that they can be
removed by the coupling constant renormalization for any number of loops, while
the divergences in the hypermultiplet sector are absent at all. Assuming that
the deviation of the gauge-fixing term from that in the Feynman gauge is small,
we explicitly calculate the divergent part of the one-loop effective action in
the lowest order in this deviation. In the approximation considered, the result
is independent of the gauge-fixing parameter and agrees with the earlier
calculation for the theory without a hypermultiplet.
|
[
{
"created": "Mon, 6 Jul 2020 15:51:33 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2020 16:59:42 GMT",
"version": "v2"
}
] |
2021-02-03
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] |
We consider the harmonic superspace formulation of higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory and its minimal coupling to a hypermultiplet. In components, the kinetic term for the gauge field in such a theory involves four space-time derivatives.The theory is quantized in the framework of the superfield background method ensuring manifest $6D$, ${\cal N}=(1,0)$ supersymmetry and the classical gauge invariance of the quantum effective action. We evaluate the superficial degree of divergence and prove it to be independent of the number of loops. Using the regularization by dimensional reduction, we find possible counterterms and show that they can be removed by the coupling constant renormalization for any number of loops, while the divergences in the hypermultiplet sector are absent at all. Assuming that the deviation of the gauge-fixing term from that in the Feynman gauge is small, we explicitly calculate the divergent part of the one-loop effective action in the lowest order in this deviation. In the approximation considered, the result is independent of the gauge-fixing parameter and agrees with the earlier calculation for the theory without a hypermultiplet.
|
2112.00445
|
Lucrezia Ravera
|
Lucrezia Ravera
|
On the hidden symmetries of $D=11$ supergravity
|
Contribution to the Proceedings of the XIV International Workshop
"Lie Theory and its Applications in Physics" (LT-14), 20-25 June 2021,
organized from Sofia, Bulgaria (online). 12 pages
|
Springer Proceedings in Mathematics & Statistics, vol 396.
Springer, Singapore (2021)
|
10.1007/978-981-19-4751-3_15
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on recent developments regarding the supersymmetric Free
Differential Algebra describing the vacuum structure of $D=11$ supergravity. We
focus on the emergence of a hidden superalgebra underlying the theory,
explaining the group-theoretical role played by the nilpotent fermionic
generator naturally appearing for consistency of the construction. We also
discuss the relation between this hidden superalgebra and other superalgebras
of particular relevance in the context of supergravity and superstring,
involving a fermionic generator with 32 components.
|
[
{
"created": "Wed, 1 Dec 2021 12:14:45 GMT",
"version": "v1"
}
] |
2023-02-09
|
[
[
"Ravera",
"Lucrezia",
""
]
] |
We report on recent developments regarding the supersymmetric Free Differential Algebra describing the vacuum structure of $D=11$ supergravity. We focus on the emergence of a hidden superalgebra underlying the theory, explaining the group-theoretical role played by the nilpotent fermionic generator naturally appearing for consistency of the construction. We also discuss the relation between this hidden superalgebra and other superalgebras of particular relevance in the context of supergravity and superstring, involving a fermionic generator with 32 components.
|
hep-th/0701064
|
Arvind Murugan
|
Igor R. Klebanov, Arvind Murugan
|
Gauge/Gravity Duality and Warped Resolved Conifold
|
22 pages, 2 figures, v2 added note on wrapped euclidean D3 brane,
other minor corrections
|
JHEP 0703:042,2007
|
10.1088/1126-6708/2007/03/042
|
PUPT-2221
|
hep-th
| null |
We study supergravity backgrounds encoded through the gauge/string
correspondence by the SU(N) \times SU(N) theory arising on N D3-branes on the
conifold. As discussed in hep-th/9905104, the dynamics of this theory describes
warped versions of both the singular and the resolved conifolds through
different (symmetry breaking) vacua. We construct these supergravity solutions
explicitly and match them with the gauge theory with different sets of vacuum
expectation values of the bi-fundamental fields A_1, A_2, B_1, B_2. For the
resolved conifold, we find a non-singular SU(2)\times U(1)\times U(1) symmetric
warped solution produced by a stack of D3-branes localized at a point on the
blown-up 2-sphere. It describes a smooth RG flow from AdS_5 \times T^{1,1} in
the UV to AdS_5 \times S^5 in the IR, produced by giving a VEV to just one
field, e.g. B_2. The presence of a condensate of baryonic operator det B_2 is
confirmed using a Euclidean D3-brane wrapping a 4-cycle inside the resolved
conifold. The Green's functions on the singular and resolved conifolds are
central to our calculations and are discussed in some detail.
|
[
{
"created": "Tue, 9 Jan 2007 20:49:34 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2007 04:27:56 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Murugan",
"Arvind",
""
]
] |
We study supergravity backgrounds encoded through the gauge/string correspondence by the SU(N) \times SU(N) theory arising on N D3-branes on the conifold. As discussed in hep-th/9905104, the dynamics of this theory describes warped versions of both the singular and the resolved conifolds through different (symmetry breaking) vacua. We construct these supergravity solutions explicitly and match them with the gauge theory with different sets of vacuum expectation values of the bi-fundamental fields A_1, A_2, B_1, B_2. For the resolved conifold, we find a non-singular SU(2)\times U(1)\times U(1) symmetric warped solution produced by a stack of D3-branes localized at a point on the blown-up 2-sphere. It describes a smooth RG flow from AdS_5 \times T^{1,1} in the UV to AdS_5 \times S^5 in the IR, produced by giving a VEV to just one field, e.g. B_2. The presence of a condensate of baryonic operator det B_2 is confirmed using a Euclidean D3-brane wrapping a 4-cycle inside the resolved conifold. The Green's functions on the singular and resolved conifolds are central to our calculations and are discussed in some detail.
|
0710.4598
|
Claudia de Rham
|
Claudia de Rham
|
Classical Renormalization of Codimension-two Brane Couplings
|
4 pages, PASCOS-07 conference proceedings, 2-7 July 2007, Imperial
College
|
AIPConf.Proc.957:309-312,2007
|
10.1063/1.2823796
| null |
hep-th
| null |
The curvature on codimension-two and higher branes is not regular for
arbitrary matter sources. Nevertheless, the low-energy theory for an observer
on such a brane should be well-defined and independent to any regularization
procedure. This is achieved via appropriate classical renormalization of the
brane couplings, and leads to a natural hierarchy between standard model
couplings and couplings to gravity.
|
[
{
"created": "Thu, 25 Oct 2007 01:20:30 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"de Rham",
"Claudia",
""
]
] |
The curvature on codimension-two and higher branes is not regular for arbitrary matter sources. Nevertheless, the low-energy theory for an observer on such a brane should be well-defined and independent to any regularization procedure. This is achieved via appropriate classical renormalization of the brane couplings, and leads to a natural hierarchy between standard model couplings and couplings to gravity.
|
hep-th/0002113
|
Dionisio Bazeia
|
V. Latora and D. Bazeia
|
Chaotic behavior in a Z_2 x Z_2 field theory
|
Revtex, 13 pages, no figures. Version with figures in Int. J. Mod.
Phys. A14 (1999) 4967
|
Int.J.Mod.Phys. A14 (1999) 4967
|
10.1142/S0217751X99002359
| null |
hep-th nlin.CD
| null |
We investigate the presence of chaos in a system of two real scalar fields
with discrete Z_2 x Z_2 symmetry. The potential that identify the system is
defined with a real parameter r and presents distinct features for r>0 and for
r<0. For static field configurations, the system supports two topological
sectors for r>0, and only one for r<0. Under the assumption of spatially
homogeneous fields, the system exhibts chaotic behavior almost everywhere in
parameter space. In particular a more complex dynamics appears for r>0; in this
case chaos can decrease for increasing energy, a fact that is absent for r<0.
|
[
{
"created": "Mon, 14 Feb 2000 18:16:57 GMT",
"version": "v1"
}
] |
2017-12-29
|
[
[
"Latora",
"V.",
""
],
[
"Bazeia",
"D.",
""
]
] |
We investigate the presence of chaos in a system of two real scalar fields with discrete Z_2 x Z_2 symmetry. The potential that identify the system is defined with a real parameter r and presents distinct features for r>0 and for r<0. For static field configurations, the system supports two topological sectors for r>0, and only one for r<0. Under the assumption of spatially homogeneous fields, the system exhibts chaotic behavior almost everywhere in parameter space. In particular a more complex dynamics appears for r>0; in this case chaos can decrease for increasing energy, a fact that is absent for r<0.
|
hep-th/0309150
|
Marc Soussa
|
Marc Soussa
|
Causal Field Equations and Real Eigenvalues from a Non-Local Lagrangian
|
5 pages. No figures. To be published in the IVth Marseille
International Cosmology Conference proceedings
| null | null | null |
hep-th astro-ph
| null |
Recently, we proposed a non-local relativistic formulation of MOND (Modified
Newtonian Dynamics). The equations of motion were not derived, rather they were
inferred from the result one would obtain by using the Schwinger-Keldysh
formalism. The formalism simultaneously ensures causality of the field
equations and the reality of in-out operator amplitudes. This point was avoided
in our previous paper as its discussion was too far afield. Here we first
demonstrate the features non-local actions generally possess: namely acausal
equations of motion and non-real in-out operator amplitudes; and secondly how
the Schwinger-Keldysh formalism works to provide the characteristics we usually
desire from effective theories.
|
[
{
"created": "Tue, 16 Sep 2003 19:42:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Soussa",
"Marc",
""
]
] |
Recently, we proposed a non-local relativistic formulation of MOND (Modified Newtonian Dynamics). The equations of motion were not derived, rather they were inferred from the result one would obtain by using the Schwinger-Keldysh formalism. The formalism simultaneously ensures causality of the field equations and the reality of in-out operator amplitudes. This point was avoided in our previous paper as its discussion was too far afield. Here we first demonstrate the features non-local actions generally possess: namely acausal equations of motion and non-real in-out operator amplitudes; and secondly how the Schwinger-Keldysh formalism works to provide the characteristics we usually desire from effective theories.
|
1401.5733
|
Yiwen Pan
|
Yiwen Pan
|
Note on a Cohomological Theory of Contact-Instanton and Invariants of
Contact Structures
|
v1: 46 pages; v2: ref added and modified, minor typo correction,
added explanation of delta function after eq. (5.46)
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the localization of 5-dimensional N = 1 super-Yang-Mills,
contact-instantons arise as non-perturbative contributions. In this note, we
revisit such configurations and discuss their generalizations. We propose for
contact-instantons a cohomological theory whose BRST observables are invariants
of the background contact geometry. To make the formalism more concrete, we
study the moduli problem of contact- instanton, and we find that it is closely
related to the eqiuivariant index of a canonical Dirac-Kohn operator associated
to the geometry. An integral formula is given when the geometry is K-contact.
We also discuss the relation to 5d N = 1 super-Yang- Mills, and by studying a
contact-instanton solution canonical to the background geometry, we discuss a
possible connection between N = 1 theory and contact homology. We also uplift
the 5d theory a 6d cohomological theory which localizes to
Donaldson-Uhlenbeck-Yau instantons when placed on special geometry.
|
[
{
"created": "Wed, 22 Jan 2014 17:08:53 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2014 02:27:04 GMT",
"version": "v2"
},
{
"created": "Fri, 29 May 2015 20:23:18 GMT",
"version": "v3"
}
] |
2015-06-02
|
[
[
"Pan",
"Yiwen",
""
]
] |
In the localization of 5-dimensional N = 1 super-Yang-Mills, contact-instantons arise as non-perturbative contributions. In this note, we revisit such configurations and discuss their generalizations. We propose for contact-instantons a cohomological theory whose BRST observables are invariants of the background contact geometry. To make the formalism more concrete, we study the moduli problem of contact- instanton, and we find that it is closely related to the eqiuivariant index of a canonical Dirac-Kohn operator associated to the geometry. An integral formula is given when the geometry is K-contact. We also discuss the relation to 5d N = 1 super-Yang- Mills, and by studying a contact-instanton solution canonical to the background geometry, we discuss a possible connection between N = 1 theory and contact homology. We also uplift the 5d theory a 6d cohomological theory which localizes to Donaldson-Uhlenbeck-Yau instantons when placed on special geometry.
|
0707.0775
|
Falk Bruckmann
|
Falk Bruckmann
|
Instanton constituents in the O(3) model at finite temperature
|
5 pages, 12 plots in 3 figures
|
Phys.Rev.Lett.100:051602,2008
|
10.1103/PhysRevLett.100.051602
| null |
hep-th cond-mat.str-el hep-lat hep-ph
| null |
It is shown that instantons in the O(3) model at finite temperature consist
of fractional charge constituents and the (topological) properties of the
latter are discussed.
|
[
{
"created": "Thu, 5 Jul 2007 13:15:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bruckmann",
"Falk",
""
]
] |
It is shown that instantons in the O(3) model at finite temperature consist of fractional charge constituents and the (topological) properties of the latter are discussed.
|
2007.10381
|
Jeremy Wachter
|
Jose J. Blanco-Pillado, Kepa Sousa, Mikel A. Urkiola, Jeremy M.
Wachter
|
Towards a complete mass spectrum of type-IIB flux vacua at large complex
structure
|
75 pages, 16 figures
|
JHEP, 2021, Article number: 149
|
10.1007/JHEP04(2021)149
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large number of moduli fields arising in a generic string theory
compactification makes a complete computation of the low energy effective
theory infeasible. A common strategy to solve this problem is to consider
Calabi-Yau manifolds with discrete symmetries, which effectively reduce the
number of moduli and make the computation of the truncated Effective Field
Theory possible. In this approach, however, the couplings (e.g., the masses) of
the truncated fields are left undetermined. In the present paper we discuss the
tree-level mass spectrum of type-IIB flux compactifications at Large Complex
Structure, focusing on models with a reduced one-dimensional complex structure
sector. We compute the tree-level spectrum for the dilaton and complex
structure moduli, \emph{including the truncated fields}, which can be expressed
entirely in terms of the known couplings of the reduced theory. We show that
the masses of this set of fields are naturally heavy at vacua consistent with
the KKLT construction, and we discuss other phenomenologically interesting
scenarios where the spectrum involves fields much lighter than the gravitino.
We also derive the probability distribution for the masses on the ensemble of
flux vacua, and show that it exhibits universal features independent of the
details of the compactification. We check our results on a large sample of flux
vacua constructed in an orientifold of the Calabi-Yau
$\mathbb{WP}^4_{[1,1,1,1,4]}$. Finally, we also discuss the conditions under
which the spectrum derived here could arise in more general compactifications.
|
[
{
"created": "Mon, 20 Jul 2020 18:05:49 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2020 15:17:53 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Apr 2021 15:30:39 GMT",
"version": "v3"
}
] |
2021-05-05
|
[
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Sousa",
"Kepa",
""
],
[
"Urkiola",
"Mikel A.",
""
],
[
"Wachter",
"Jeremy M.",
""
]
] |
The large number of moduli fields arising in a generic string theory compactification makes a complete computation of the low energy effective theory infeasible. A common strategy to solve this problem is to consider Calabi-Yau manifolds with discrete symmetries, which effectively reduce the number of moduli and make the computation of the truncated Effective Field Theory possible. In this approach, however, the couplings (e.g., the masses) of the truncated fields are left undetermined. In the present paper we discuss the tree-level mass spectrum of type-IIB flux compactifications at Large Complex Structure, focusing on models with a reduced one-dimensional complex structure sector. We compute the tree-level spectrum for the dilaton and complex structure moduli, \emph{including the truncated fields}, which can be expressed entirely in terms of the known couplings of the reduced theory. We show that the masses of this set of fields are naturally heavy at vacua consistent with the KKLT construction, and we discuss other phenomenologically interesting scenarios where the spectrum involves fields much lighter than the gravitino. We also derive the probability distribution for the masses on the ensemble of flux vacua, and show that it exhibits universal features independent of the details of the compactification. We check our results on a large sample of flux vacua constructed in an orientifold of the Calabi-Yau $\mathbb{WP}^4_{[1,1,1,1,4]}$. Finally, we also discuss the conditions under which the spectrum derived here could arise in more general compactifications.
|
hep-th/9512178
|
Tomas Ortin
|
Ramzi Khuri and Tomas Ortin
|
A Non--Supersymmetric Dyonic Extreme Reissner--Nordstr\"{o}m Black Hole
|
A few references and comments have been added
|
Phys.Lett.B373:56-60,1996
|
10.1016/0370-2693(96)00139-6
|
CERN-TH/95--347, McGill/96--01
|
hep-th
| null |
We present a dyonic embedding of the extreme Reissner-Nordstr\"om black hole
in $N=4$ and $N=8$ supergravity that breaks all supersymmetries.
|
[
{
"created": "Thu, 21 Dec 1995 15:54:33 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 1996 15:28:46 GMT",
"version": "v2"
}
] |
2009-07-09
|
[
[
"Khuri",
"Ramzi",
""
],
[
"Ortin",
"Tomas",
""
]
] |
We present a dyonic embedding of the extreme Reissner-Nordstr\"om black hole in $N=4$ and $N=8$ supergravity that breaks all supersymmetries.
|
0710.1538
|
Anastasia Doikou
|
Jean Avan, Anastasia Doikou
|
Integrable boundary conditions and modified Lax equations
|
27 pages Latex. References added and typos corrected
|
Nucl. Phys.B800:591-612, 2008
|
10.1016/j.nuclphysb.2008.04.004
| null |
hep-th math-ph math.MP math.QA nlin.SI
| null |
We consider integrable boundary conditions for both discrete and continuum
classical integrable models. Local integrals of motion generated by the
corresponding transfer matrices give rise to time evolution equations for the
initial Lax operator. We systematically identify the modified Lax pairs for
both discrete and continuum boundary integrable models, depending on the
classical r-matrix and the boundary matrix.
|
[
{
"created": "Mon, 8 Oct 2007 12:52:17 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2007 10:18:36 GMT",
"version": "v2"
}
] |
2009-06-19
|
[
[
"Avan",
"Jean",
""
],
[
"Doikou",
"Anastasia",
""
]
] |
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.
|
hep-th/0505056
|
Etsuko Itou
|
Kiyoshi Higashijima, Etsuko Itou and Makoto Tsuzuki
|
Large-N Analysis of Three Dimensional Nonlinear Sigma Models
|
24pages, 5figures
| null | null |
OU-HET 527, KANAZAWA-05-06
|
hep-th
| null |
Non-perturbative renormalization group approach suggests that a large class
of nonlinear sigma models are renormalizable in three dimensional space-time,
while they are non-renormalizable in perturbation theory. ${\cal N}=2$
supersymmetric nonlinear sigma models whose target spaces are
Einstein-K\"{a}hler manifolds with positive scalar curvature belongs to this
class. hermitian symmetric spaces, being homogeneous, are specially simple
examples of these manifolds. To find an independent evidence of the
nonperturbative renormalizability of these models, the large N method, another
nonperturbative method, is applied to 3-dimensional ${\cal N}=2$ supersymmetric
nonlinear sigma models on the target spaces $CP^{N-1}=SU(N)/[SU(N-1)\times
U(1)]$ and $Q^{N-2}=SO(N)/[SO(N-2)\times SO(2)]$, two typical examples of
hermitian symmetric spaces.
We find that $\beta$ functions in these models agree with the results of the
nonperturbative renormalization group approach in the next-to-leading order of
1/N expansion, and have non-trivial UV fixed points. The $\beta$ function of
the $Q^{N-2}$ model receives a nonzero correction in the next-to-leading order
of the 1/N expansion.
We also investigate the phase structures of our models. The $CP^{N-1}$ model
has two phases; SU(N) symmetric and asymmetric phase. The $Q^{N-2}$ model has
three phases; Chern-Simons, Higgs and SO(N) broken phases. In the Chern-Simons
and Higgs phase, SO(N) symmetry remains unbroken and all dynamical fields
becomes massive. An auxiliary gauge field also acquires mass, through an
induced Chern-Simons term in the Chern-Simons phase, and through the vacuum
expectation value of a di-quark bound state in the Higgs phase.
|
[
{
"created": "Fri, 6 May 2005 02:05:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Higashijima",
"Kiyoshi",
""
],
[
"Itou",
"Etsuko",
""
],
[
"Tsuzuki",
"Makoto",
""
]
] |
Non-perturbative renormalization group approach suggests that a large class of nonlinear sigma models are renormalizable in three dimensional space-time, while they are non-renormalizable in perturbation theory. ${\cal N}=2$ supersymmetric nonlinear sigma models whose target spaces are Einstein-K\"{a}hler manifolds with positive scalar curvature belongs to this class. hermitian symmetric spaces, being homogeneous, are specially simple examples of these manifolds. To find an independent evidence of the nonperturbative renormalizability of these models, the large N method, another nonperturbative method, is applied to 3-dimensional ${\cal N}=2$ supersymmetric nonlinear sigma models on the target spaces $CP^{N-1}=SU(N)/[SU(N-1)\times U(1)]$ and $Q^{N-2}=SO(N)/[SO(N-2)\times SO(2)]$, two typical examples of hermitian symmetric spaces. We find that $\beta$ functions in these models agree with the results of the nonperturbative renormalization group approach in the next-to-leading order of 1/N expansion, and have non-trivial UV fixed points. The $\beta$ function of the $Q^{N-2}$ model receives a nonzero correction in the next-to-leading order of the 1/N expansion. We also investigate the phase structures of our models. The $CP^{N-1}$ model has two phases; SU(N) symmetric and asymmetric phase. The $Q^{N-2}$ model has three phases; Chern-Simons, Higgs and SO(N) broken phases. In the Chern-Simons and Higgs phase, SO(N) symmetry remains unbroken and all dynamical fields becomes massive. An auxiliary gauge field also acquires mass, through an induced Chern-Simons term in the Chern-Simons phase, and through the vacuum expectation value of a di-quark bound state in the Higgs phase.
|
0811.1580
|
Pedro Pina Avelino
|
P.P. Avelino, R. Menezes, L. Sousa
|
p-brane dynamics in N+1-dimensional FRW universes
|
6 pages, 3 figures
|
Phys.Rev.D79:043519,2009
|
10.1103/PhysRevD.79.043519
| null |
hep-th astro-ph gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the evolution of maximally symmetric $p$-branes with a
$S_{p-i}\otimes \mathbbm{R}^i$ topology in flat expanding or collapsing
homogeneous and isotropic universes with $N+1$ dimensions (with $N \ge 3$, $p <
N$, $0 \le i < p$). We find the corresponding equations of motion and compute
new analytical solutions for the trajectories in phase space. For a constant
Hubble parameter, $H$, and $i=0$ we show that all initially static solutions
with a physical radius below a certain critical value, $r_c^0$, are periodic
while those with a larger initial radius become frozen in comoving coordinates
at late times. We find a stationary solution with constant velocity and
physical radius, $r_c$, and compute the root mean square velocity of the
periodic $p$-brane solutions and the corresponding (average) equation of state
of the $p$-brane gas. We also investigate the $p$-brane dynamics for $H \neq
{\rm constant}$ in models where the evolution of the universe is driven by a
perfect fluid with constant equation of state parameter, $w={\cal P}_p/\rho_p$,
and show that a critical radius, $r_c$, can still be defined for $ -1 \le w <
w_c$ with $w_c=(2-N)/N$. We further show that for $w \sim w_c$ the critical
radius is given approximately by $r_c H \propto (w_c-w)^{\gamma_c}$ with
$\gamma_c=-1/2$ ($r_c H \to \infty$ when $w \to w_c$). Finally, we discuss the
impact that the large scale dynamics of the universe can have on the
macroscopic evolution of very small loops.
|
[
{
"created": "Mon, 10 Nov 2008 21:02:03 GMT",
"version": "v1"
}
] |
2009-03-12
|
[
[
"Avelino",
"P. P.",
""
],
[
"Menezes",
"R.",
""
],
[
"Sousa",
"L.",
""
]
] |
We study the evolution of maximally symmetric $p$-branes with a $S_{p-i}\otimes \mathbbm{R}^i$ topology in flat expanding or collapsing homogeneous and isotropic universes with $N+1$ dimensions (with $N \ge 3$, $p < N$, $0 \le i < p$). We find the corresponding equations of motion and compute new analytical solutions for the trajectories in phase space. For a constant Hubble parameter, $H$, and $i=0$ we show that all initially static solutions with a physical radius below a certain critical value, $r_c^0$, are periodic while those with a larger initial radius become frozen in comoving coordinates at late times. We find a stationary solution with constant velocity and physical radius, $r_c$, and compute the root mean square velocity of the periodic $p$-brane solutions and the corresponding (average) equation of state of the $p$-brane gas. We also investigate the $p$-brane dynamics for $H \neq {\rm constant}$ in models where the evolution of the universe is driven by a perfect fluid with constant equation of state parameter, $w={\cal P}_p/\rho_p$, and show that a critical radius, $r_c$, can still be defined for $ -1 \le w < w_c$ with $w_c=(2-N)/N$. We further show that for $w \sim w_c$ the critical radius is given approximately by $r_c H \propto (w_c-w)^{\gamma_c}$ with $\gamma_c=-1/2$ ($r_c H \to \infty$ when $w \to w_c$). Finally, we discuss the impact that the large scale dynamics of the universe can have on the macroscopic evolution of very small loops.
|
hep-th/0509227
|
Carlos Leiva
|
Hector Calisto, Carlos Leiva
|
Generalized commutation relations and Non linear momenta theories, a
close relationship
|
accepted version in IJMPD
|
Int.J.Mod.Phys.D16:927-940,2007
|
10.1142/S021827180701050X
| null |
hep-th
| null |
A revision of generalized commutation relations is performed, besides a
description of Non linear momenta realization included in some DSR theories. It
is shown that these propositions are closely related, specially we focus on
Magueijo Smolin momenta and Kempf et al. and L.N. Chang generalized
commutators. Due to this, a new algebra arises with its own features that is
also analyzed.
|
[
{
"created": "Thu, 29 Sep 2005 21:35:09 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2006 20:01:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Calisto",
"Hector",
""
],
[
"Leiva",
"Carlos",
""
]
] |
A revision of generalized commutation relations is performed, besides a description of Non linear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo Smolin momenta and Kempf et al. and L.N. Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.
|
1405.1742
|
Mikhail Volkov
|
Mikhail S. Volkov
|
Hairy black holes in theories with massive gravitons
|
References added. 20 pages, 3 figures, based on the talk given at the
7-th Aegean Summer School "Beyond Einstein's theory of gravity", September
2013
| null |
10.1007/978-3-319-10070-8_6
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a brief survey of the known black hole solutions in the theories of
ghost-free bigravity and massive gravity. Various black holes exist in these
theories, in particular those supporting a massive graviton hair. However, it
seems that solutions which could be astrophysically relevant are the same as in
General Relativity, or very close to them. Therefore, the no-hair conjecture
essentially applies, and so it would be hard to detect the graviton mass by
observing black holes.
|
[
{
"created": "Wed, 7 May 2014 20:23:09 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2014 18:21:17 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jun 2014 21:02:05 GMT",
"version": "v3"
}
] |
2015-06-19
|
[
[
"Volkov",
"Mikhail S.",
""
]
] |
This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems that solutions which could be astrophysically relevant are the same as in General Relativity, or very close to them. Therefore, the no-hair conjecture essentially applies, and so it would be hard to detect the graviton mass by observing black holes.
|
2111.08442
|
Minxin Huang
|
Bao-ning Du, Min-xin Huang, Pei-xuan Zeng
|
Bootstrapping Calabi-Yau Quantum Mechanics
|
21 pages, 21 figures
| null |
10.1088/1572-9494/ac679a
|
USTC-ICTS/PCFT-21-43
|
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Recently, a novel bootstrap method for numerical calculations in matrix
models and quantum mechanical systems is proposed. We apply the method to
certain quantum mechanical systems derived from some well-known local toric
Calabi-Yau geometries, where the exact quantization conditions have been
conjecturally related to topological string theory. We find that the bootstrap
method provides a promising alternative for the precision numerical
calculations of the energy eigenvalues. An improvement in our approach is to
use a larger set of two-dimensional operators instead of one-dimensional ones.
We also apply our improved bootstrap methods to some non-relativistic models in
the recent literature and demonstrate better numerical accuracies.
|
[
{
"created": "Tue, 16 Nov 2021 13:20:38 GMT",
"version": "v1"
}
] |
2022-12-08
|
[
[
"Du",
"Bao-ning",
""
],
[
"Huang",
"Min-xin",
""
],
[
"Zeng",
"Pei-xuan",
""
]
] |
Recently, a novel bootstrap method for numerical calculations in matrix models and quantum mechanical systems is proposed. We apply the method to certain quantum mechanical systems derived from some well-known local toric Calabi-Yau geometries, where the exact quantization conditions have been conjecturally related to topological string theory. We find that the bootstrap method provides a promising alternative for the precision numerical calculations of the energy eigenvalues. An improvement in our approach is to use a larger set of two-dimensional operators instead of one-dimensional ones. We also apply our improved bootstrap methods to some non-relativistic models in the recent literature and demonstrate better numerical accuracies.
|
2010.13758
|
Sukruti Bansal
|
Sukruti Bansal, Silvia Nagy, Antonio Padilla, Ivonne Zavala
|
Unimodular vs Nilpotent Superfield Approach to Pure dS Supergravity
|
24 pages
|
JHEP 01 (2021) 146
|
10.1007/JHEP01(2021)146
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent progress in understanding de Sitter spacetime in supergravity and
string theory has led to the development of a four dimensional supergravity
with spontaneously broken supersymmetry allowing for de Sitter vacua, also
called de Sitter supergravity. One approach makes use of constrained
(nilpotent) superfields, while an alternative one couples supergravity to a
locally supersymmetric generalization of the Volkov-Akulov goldstino action.
These two approaches have been shown to give rise to the same 4D action. A
novel approach to de Sitter vacua in supergravity involves the generalisation
of unimodular gravity to supergravity using a super-St\"uckelberg mechanism. In
this paper, we make a connection between this new approach and the previous two
which are in the context of nilpotent superfields and the goldstino brane. We
show that upon appropriate field redefinitions, the 4D actions match up to the
cubic order in the fields. This points at the possible existence of a more
general framework to obtain de Sitter spacetimes from high-energy theories.
|
[
{
"created": "Mon, 26 Oct 2020 17:47:31 GMT",
"version": "v1"
}
] |
2021-03-31
|
[
[
"Bansal",
"Sukruti",
""
],
[
"Nagy",
"Silvia",
""
],
[
"Padilla",
"Antonio",
""
],
[
"Zavala",
"Ivonne",
""
]
] |
Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter supergravity. One approach makes use of constrained (nilpotent) superfields, while an alternative one couples supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action. These two approaches have been shown to give rise to the same 4D action. A novel approach to de Sitter vacua in supergravity involves the generalisation of unimodular gravity to supergravity using a super-St\"uckelberg mechanism. In this paper, we make a connection between this new approach and the previous two which are in the context of nilpotent superfields and the goldstino brane. We show that upon appropriate field redefinitions, the 4D actions match up to the cubic order in the fields. This points at the possible existence of a more general framework to obtain de Sitter spacetimes from high-energy theories.
|
2110.11365
|
Antoine Bourget
|
Antoine Bourget, Julius F. Grimminger, Mario Martone, Gabi Zafrir
|
Magnetic quivers for rank 2 theories
| null | null |
10.1007/JHEP03(2022)208
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we construct magnetic quivers for the known rank-2 four
dimensional $\mathcal{N}=2$ superconformal field theories. For every rank-1
theory one can find a unitary magnetic quiver; we observe that this is no
longer possible at rank 2. Our list of magnetic quivers necessarily includes
orthosymplectic quivers, in addition to unitary ones, of both the simply and
non-simply laced variety. Using quiver subtraction, one can compute Higgs
branch Hasse diagrams and compare with the results obtained via other methods
finding nearly perfect agreement.
|
[
{
"created": "Thu, 21 Oct 2021 18:00:01 GMT",
"version": "v1"
}
] |
2022-04-20
|
[
[
"Bourget",
"Antoine",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Martone",
"Mario",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
In this note we construct magnetic quivers for the known rank-2 four dimensional $\mathcal{N}=2$ superconformal field theories. For every rank-1 theory one can find a unitary magnetic quiver; we observe that this is no longer possible at rank 2. Our list of magnetic quivers necessarily includes orthosymplectic quivers, in addition to unitary ones, of both the simply and non-simply laced variety. Using quiver subtraction, one can compute Higgs branch Hasse diagrams and compare with the results obtained via other methods finding nearly perfect agreement.
|
1705.05383
|
Seyed Morteza Hosseini
|
Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni
|
An extremization principle for the entropy of rotating BPS black holes
in AdS$_5$
|
27 pages; v2: refs added; v3: ref added
|
JHEP 1707 (2017) 106
|
10.1007/JHEP07(2017)106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the Bekenstein-Hawking entropy of a class of BPS electrically
charged rotating black holes in AdS$_5\times S^5$ can be obtained by a simple
extremization principle. We expect that this extremization corresponds to the
attractor mechanism for BPS rotating black holes in five-dimensional gauged
supergravity, which is still unknown. The expression to be extremized has a
suggestive resemblance to anomaly polynomials and the supersymmetric Casimir
energy recently studied for $\mathcal{N}=4$ super Yang-Mills.
|
[
{
"created": "Mon, 15 May 2017 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2017 17:35:35 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Jul 2017 18:42:16 GMT",
"version": "v3"
}
] |
2017-08-01
|
[
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
We show that the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS$_5\times S^5$ can be obtained by a simple extremization principle. We expect that this extremization corresponds to the attractor mechanism for BPS rotating black holes in five-dimensional gauged supergravity, which is still unknown. The expression to be extremized has a suggestive resemblance to anomaly polynomials and the supersymmetric Casimir energy recently studied for $\mathcal{N}=4$ super Yang-Mills.
|
hep-th/9506076
|
John Schwarz
|
John H. Schwarz (Caltech)
|
Classical Symmetries of Some Two-Dimensional Models Coupled to Gravity
|
22 pages, latex
|
Nucl.Phys. B454 (1995) 427-448
|
10.1016/0550-3213(95)00455-2
|
CALT-68-1999
|
hep-th
| null |
This paper is a sequel to one in which we examined the affine symmetry
algebras of arbitrary classical principal chiral models and symmetric space
models in two dimensions. It examines the extension of those results in the
presence of gravity. The main result is that even though the symmetry
transformations of the fields depend on the gravitational background, the
symmetry algebras of these classical theories are completely unchanged by the
presence of arbitrary gravitational backgrounds. On the other hand, we are
unable to generalize the Virasoro symmetries of the flat-space theories to
theories with gravity.
|
[
{
"created": "Sun, 11 Jun 1995 22:14:06 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 1995 00:16:44 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Schwarz",
"John H.",
"",
"Caltech"
]
] |
This paper is a sequel to one in which we examined the affine symmetry algebras of arbitrary classical principal chiral models and symmetric space models in two dimensions. It examines the extension of those results in the presence of gravity. The main result is that even though the symmetry transformations of the fields depend on the gravitational background, the symmetry algebras of these classical theories are completely unchanged by the presence of arbitrary gravitational backgrounds. On the other hand, we are unable to generalize the Virasoro symmetries of the flat-space theories to theories with gravity.
|
0902.1864
|
Voja Radovanovic
|
Marija Dimitrijevic and Voja Radovanovic
|
D-deformed Wess-Zumino model and its renormalizability properties
|
25 pages, no figures, some comments and references added, accepted
for publication in JHEP
|
JHEP 0904:108,2009
|
10.1088/1126-6708/2009/04/108
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the methods developed in earlier papers we analyze a new type of
deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf
algebra is non-hermitian and is given in terms of the covariant derivatives
$D_\alpha$. A SUSY invariant deformation of the Wess-Zumino action is
constructed and compared with results already known in the literature. Finally,
by calculating divergences of the two-point Green functions a preliminary
analysis of renormalizability properties of the constructed model is done. As
expected, there is no renormalization of mass and no tadpole diagrams appear.
|
[
{
"created": "Wed, 11 Feb 2009 12:31:29 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Apr 2009 15:31:08 GMT",
"version": "v2"
}
] |
2011-08-02
|
[
[
"Dimitrijevic",
"Marija",
""
],
[
"Radovanovic",
"Voja",
""
]
] |
Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives $D_\alpha$. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear.
|
hep-th/0301044
|
Vladimir V. Dyadichev
|
D.V. Gal'tsov, V.V. Dyadichev
|
Non-Abelian brane cosmology
|
6 pages, latex, 1 figure. Submitted to the Proceedings of the VFC
workshop at JENAM2002, Portu, Portugal, 1-6 september 2002
|
Astrophys.Space Sci. 283 (2003) 667-672
|
10.1023/A:1022576112321
|
DTP-MSU/03-02
|
hep-th
| null |
We discuss isotropic and homogeneous D-brane-world cosmology with non-Abelian
Born-Infeld (NBI) matter on the brane. In the usual Friedmann-Robertson-Walker
(FRW) model the scale non-invariant NBI matter gives rise to an equation of
state which asymptotes to the string gas equation $p=-\epsilon/3$ and ensures a
start-up of the cosmological expansion with zero acceleration. We show that the
same state equation in the brane-world setup leads to the Tolman type evolution
as if the conformal symmetry was effectively restored. This is not precisely so
in the NBI model with symmetrized trace, but the leading term in the expansion
law is still the same. A cosmological sphaleron solution on the D-brane is
presented.
|
[
{
"created": "Wed, 8 Jan 2003 13:33:34 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Gal'tsov",
"D. V.",
""
],
[
"Dyadichev",
"V. V.",
""
]
] |
We discuss isotropic and homogeneous D-brane-world cosmology with non-Abelian Born-Infeld (NBI) matter on the brane. In the usual Friedmann-Robertson-Walker (FRW) model the scale non-invariant NBI matter gives rise to an equation of state which asymptotes to the string gas equation $p=-\epsilon/3$ and ensures a start-up of the cosmological expansion with zero acceleration. We show that the same state equation in the brane-world setup leads to the Tolman type evolution as if the conformal symmetry was effectively restored. This is not precisely so in the NBI model with symmetrized trace, but the leading term in the expansion law is still the same. A cosmological sphaleron solution on the D-brane is presented.
|
1611.03093
|
Prieslei Goulart
|
Prieslei Goulart
|
Dyonic black holes and dilaton charge in string theory
|
6 pages; V3: The paper was entirely rewritten, discussions clarified,
references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the four-dimensional non-extremal dyonic black hole solution for
Einstein-Maxwell-dilaton theory in absence of a scalar potential written in
terms of integration constants only. These integration constants must satisfy a
set of conditions imposed by the equations of motion. By defining a posteriori
the mass $M$ of the black hole and the dilaton charge $\Sigma$, we show how to
recover the dyonic black hole solution found by Kallosh et.al. In particular,
our analysis show that there is a possibility in defining whether the dilaton
charge or the mass of the black hole is an independent parameter. When the mass
of the black hole is the independent parameter, then there is a well-defined
limit in which the dilaton charge is zero. For this case, it is straightforward
to provide an answer to why is $\phi_{H, \text{extreme}}$ independent of
$\phi_{0}$ and to why $\phi_{H, \text{extreme}}=\phi_{0}$ when the dilaton
charge is zero.
|
[
{
"created": "Wed, 9 Nov 2016 21:04:34 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2016 21:27:05 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Apr 2017 18:37:51 GMT",
"version": "v3"
}
] |
2017-04-26
|
[
[
"Goulart",
"Prieslei",
""
]
] |
We present the four-dimensional non-extremal dyonic black hole solution for Einstein-Maxwell-dilaton theory in absence of a scalar potential written in terms of integration constants only. These integration constants must satisfy a set of conditions imposed by the equations of motion. By defining a posteriori the mass $M$ of the black hole and the dilaton charge $\Sigma$, we show how to recover the dyonic black hole solution found by Kallosh et.al. In particular, our analysis show that there is a possibility in defining whether the dilaton charge or the mass of the black hole is an independent parameter. When the mass of the black hole is the independent parameter, then there is a well-defined limit in which the dilaton charge is zero. For this case, it is straightforward to provide an answer to why is $\phi_{H, \text{extreme}}$ independent of $\phi_{0}$ and to why $\phi_{H, \text{extreme}}=\phi_{0}$ when the dilaton charge is zero.
|
2306.11718
|
Souvik Bera
|
Souvik Bera
|
$\texttt{MultiHypExp}$: A Mathematica Package For Expanding Multivariate
Hypergeometric Functions In Terms Of Multiple Polylogarithms
|
v2: Minor changes are made and new references are added; v3:
published version
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We present the Mathematica package $\texttt{MultiHypExp}$ that allows for the
expansion of multivariate hypergeometric functions (MHFs), especially those
likely to appear as solutions of multi-loop, multi-scale Feynman integrals, in
the dimensional regularization parameter. The series expansion of MHFs can be
carried out around integer values of parameters to express the series
coefficients in terms of multiple polylogarithms. The package uses a modified
version of the algorithm prescribed in arXiv:2208.01000v2. In the present work,
we relate a given MHF to a Taylor series expandable MHF by a differential
operator. The Taylor expansion of the latter MHF is found by first finding the
associated partial differential equations (PDEs) from its series
representation. We then bring the PDEs to the Pfaffian system and further to
the canonical form, and solve them order by order in the expansion parameter
using appropriate boundary conditions. The Taylor expansion so obtained and the
differential operators are used to find the series expansion of the given MHF.
We provide examples to demonstrate the algorithm and to describe the usage of
the package, which can be found in https://github.com/souvik5151/MultiHypExp.
|
[
{
"created": "Tue, 20 Jun 2023 17:52:54 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2023 17:10:08 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jan 2024 06:36:19 GMT",
"version": "v3"
}
] |
2024-01-15
|
[
[
"Bera",
"Souvik",
""
]
] |
We present the Mathematica package $\texttt{MultiHypExp}$ that allows for the expansion of multivariate hypergeometric functions (MHFs), especially those likely to appear as solutions of multi-loop, multi-scale Feynman integrals, in the dimensional regularization parameter. The series expansion of MHFs can be carried out around integer values of parameters to express the series coefficients in terms of multiple polylogarithms. The package uses a modified version of the algorithm prescribed in arXiv:2208.01000v2. In the present work, we relate a given MHF to a Taylor series expandable MHF by a differential operator. The Taylor expansion of the latter MHF is found by first finding the associated partial differential equations (PDEs) from its series representation. We then bring the PDEs to the Pfaffian system and further to the canonical form, and solve them order by order in the expansion parameter using appropriate boundary conditions. The Taylor expansion so obtained and the differential operators are used to find the series expansion of the given MHF. We provide examples to demonstrate the algorithm and to describe the usage of the package, which can be found in https://github.com/souvik5151/MultiHypExp.
|
2403.17263
|
Francesco Galvagno
|
Augustus Brown, Francesco Galvagno and Congkao Wen
|
Exact results for giant graviton four-point correlators
|
v2: 49 pages, 2 figures, corrected appendix C and some typos fixed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the four-point correlator $\langle \mathcal{O}_2 \mathcal{O}_2
\mathcal{D} \mathcal{D} \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory
(SYM) with $SU(N)$ gauge group, where $\mathcal{O}_2$ represents the
superconformal primary operator with dimension two, while $\mathcal{D}$ denotes
a determinant operator of dimension $N$, which is holographically dual to a
giant graviton D3-brane extending along $S^5$. We analyse the integrated
correlator associated with this observable, obtained after integrating out the
spacetime dependence over a supersymmetric invariant measure. Similarly to
other classes of integrated correlators in $\mathcal{N}=4$ SYM, this integrated
correlator can be computed through supersymmetric localisation on the
four-sphere. Employing matrix-model recursive techniques, we demonstrate that
the integrated correlator can be reformulated as an infinite sum of protected
three-point functions with known coefficients. This insight allows us to
circumvent the complexity associated with the dimension-$N$ determinant
operator, significantly streamlining the large-$N$ expansion of the integrated
correlator. In the planar limit and beyond, we derive exact results for the
integrated correlator valid for all values of the 't Hooft coupling, and
investigate the resurgent properties of their strong coupling expansion.
Additionally, in the large-$N$ expansion with fixed (complexified) Yang-Mills
coupling, we deduce the $SL(2, \mathbb{Z})$ completion of these results in
terms of the non-holomorphic Eisenstein series. The proposed modular functions
are confirmed by explicit instanton calculations from the matrix model, and
agree with expectations from the holographic dual picture of known results in
type IIB string theory.
|
[
{
"created": "Mon, 25 Mar 2024 23:12:11 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2024 15:13:50 GMT",
"version": "v2"
}
] |
2024-04-10
|
[
[
"Brown",
"Augustus",
""
],
[
"Galvagno",
"Francesco",
""
],
[
"Wen",
"Congkao",
""
]
] |
We study the four-point correlator $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{D} \mathcal{D} \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group, where $\mathcal{O}_2$ represents the superconformal primary operator with dimension two, while $\mathcal{D}$ denotes a determinant operator of dimension $N$, which is holographically dual to a giant graviton D3-brane extending along $S^5$. We analyse the integrated correlator associated with this observable, obtained after integrating out the spacetime dependence over a supersymmetric invariant measure. Similarly to other classes of integrated correlators in $\mathcal{N}=4$ SYM, this integrated correlator can be computed through supersymmetric localisation on the four-sphere. Employing matrix-model recursive techniques, we demonstrate that the integrated correlator can be reformulated as an infinite sum of protected three-point functions with known coefficients. This insight allows us to circumvent the complexity associated with the dimension-$N$ determinant operator, significantly streamlining the large-$N$ expansion of the integrated correlator. In the planar limit and beyond, we derive exact results for the integrated correlator valid for all values of the 't Hooft coupling, and investigate the resurgent properties of their strong coupling expansion. Additionally, in the large-$N$ expansion with fixed (complexified) Yang-Mills coupling, we deduce the $SL(2, \mathbb{Z})$ completion of these results in terms of the non-holomorphic Eisenstein series. The proposed modular functions are confirmed by explicit instanton calculations from the matrix model, and agree with expectations from the holographic dual picture of known results in type IIB string theory.
|
hep-th/0009177
|
Sarhad
|
Fuad M. Saradzhev
|
Bound state problem for a Dirac particle in an external static charge
distribution in (1+1)-dimensions
|
final version to appear in J.Phys. A; Title changed; new paragraphs
added in Introduction and Conclusions
|
J.Phys.A34:1771-1783,2001
|
10.1088/0305-4470/34/8/319
| null |
hep-th
| null |
We study the self-interaction effects for the Dirac particle moving in an
external field created by static charges in (1+1)-dimensions. Assuming that the
total electric charge of the system vanishes, we show that the asymptotically
linearly rising part of the external potential responsible for nonexistence of
bound states in the external field problem without self-interaction is
cancelled by the self-potential of the zero mode of the Dirac particle charge
density. We derive the Dirac equation which includes the self-potential of the
non-zero modes and is nonlinear. We solve the spectrum problem in the case of
two external positive charges of the same value and prove that the Dirac
particle and external charges are confined in a stable system.
|
[
{
"created": "Fri, 22 Sep 2000 07:04:24 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2001 07:42:08 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Saradzhev",
"Fuad M.",
""
]
] |
We study the self-interaction effects for the Dirac particle moving in an external field created by static charges in (1+1)-dimensions. Assuming that the total electric charge of the system vanishes, we show that the asymptotically linearly rising part of the external potential responsible for nonexistence of bound states in the external field problem without self-interaction is cancelled by the self-potential of the zero mode of the Dirac particle charge density. We derive the Dirac equation which includes the self-potential of the non-zero modes and is nonlinear. We solve the spectrum problem in the case of two external positive charges of the same value and prove that the Dirac particle and external charges are confined in a stable system.
|
0708.2865
|
Cliff Burgess
|
C. P. Burgess
|
Lectures on Cosmic Inflation and its Potential Stringy Realizations
|
68 pages, lectures given at Dubrovnik, Aug 2006; CERN, January 2007;
and Cargese, Aug 2007
|
Class.Quant.Grav.24:S795,2007; PoS P2GC:008,2006; PoS
Cargese2007:003,2007
|
10.1088/0264-9381/24/21/S04
| null |
hep-th astro-ph gr-qc
| null |
These notes present a brief introduction to Hot Big Bang cosmology and Cosmic
Inflation, together with a selection of some recent attempts to embed inflation
into string theory. They provide a partial description of lectures presented in
courses at Dubrovnik in August 2006, at CERN in January 2007 and at Cargese in
August 2007. They are aimed at graduate students with a working knowledge of
quantum field theory, but who are unfamiliar with the details of cosmology or
of string theory.
|
[
{
"created": "Tue, 21 Aug 2007 15:38:26 GMT",
"version": "v1"
}
] |
2011-02-09
|
[
[
"Burgess",
"C. P.",
""
]
] |
These notes present a brief introduction to Hot Big Bang cosmology and Cosmic Inflation, together with a selection of some recent attempts to embed inflation into string theory. They provide a partial description of lectures presented in courses at Dubrovnik in August 2006, at CERN in January 2007 and at Cargese in August 2007. They are aimed at graduate students with a working knowledge of quantum field theory, but who are unfamiliar with the details of cosmology or of string theory.
|
1203.1427
|
Masato Taki
|
Hiroaki Kanno and Masato Taki
|
Generalized Whittaker states for instanton counting with fundamental
hypermultiplets
|
46 pages; minor changes
| null |
10.1007/JHEP05(2012)052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
M-theoretic construction of N=2 gauge theories implies that the instanton
partition function is expressed as the scalar product of coherent states
(Whittaker states) in the Verma module of an appropriate two dimensional
conformal field theory. We present the characterizing conditions for such
states that give the partition function with fundamental hypermultiplets for
SU(3) theory and SU(2) theory with a surface operator. We find the states are
no longer the coherent states in the strict sense but we can characterize them
in terms of a few annihilation operators of lower levels combined with the zero
mode (Cartan part) of the Virasoro algebra L_0 or the sl(2) current algebra
J_0^0.
|
[
{
"created": "Wed, 7 Mar 2012 10:24:29 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Mar 2012 11:17:31 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Kanno",
"Hiroaki",
""
],
[
"Taki",
"Masato",
""
]
] |
M-theoretic construction of N=2 gauge theories implies that the instanton partition function is expressed as the scalar product of coherent states (Whittaker states) in the Verma module of an appropriate two dimensional conformal field theory. We present the characterizing conditions for such states that give the partition function with fundamental hypermultiplets for SU(3) theory and SU(2) theory with a surface operator. We find the states are no longer the coherent states in the strict sense but we can characterize them in terms of a few annihilation operators of lower levels combined with the zero mode (Cartan part) of the Virasoro algebra L_0 or the sl(2) current algebra J_0^0.
|
hep-th/0505220
|
Alberto Zaffaroni
|
Agostino Butti, Davide Forcella and Alberto Zaffaroni
|
The dual superconformal theory for Lpqr manifolds
|
38 pages and 13 figures; minor corrections
|
JHEP0509:018,2005
|
10.1088/1126-6708/2005/09/018
| null |
hep-th
| null |
We present the superconformal gauge theory living on the world-volume of D3
branes probing the toric singularities with horizon the recently discovered
Sasaki-Einstein manifolds L^{p,q,r}. Various checks of the identification are
made by comparing the central charge and the R-charges of the chiral fields
with the information that can be extracted from toric geometry. Fractional
branes are also introduced and the physics of the associated duality cascade
discussed.
|
[
{
"created": "Tue, 24 May 2005 18:49:35 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jun 2005 15:52:43 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Aug 2005 16:45:58 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Butti",
"Agostino",
""
],
[
"Forcella",
"Davide",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
We present the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds L^{p,q,r}. Various checks of the identification are made by comparing the central charge and the R-charges of the chiral fields with the information that can be extracted from toric geometry. Fractional branes are also introduced and the physics of the associated duality cascade discussed.
|
2004.08668
|
Mirko Serino
|
Mirko Serino
|
The four-point correlation function of the energy-momentum tensor in the
free conformal field theory of a scalar field
|
Final minor typos amended, 37 pages, 12 figures, associated
Mathematica notebooks available on
https://github.com/mirkos86/4-EMT-correlation-function-in-a-4d-CFT
|
Eur. Phys. J. C. (2020) 80:686
|
10.1140/epjc/s10052-020-8208-z
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an explicit momentum space computation of the four-point function
of the energy-momentum tensor in 4 spacetime dimensions for the free and
conformally invariant theory of a scalar field. The result is obtained by
explicit evaluation of the Feynman diagrams by tensor reduction. We work by
embedding the scalar field theory in a gravitational background consistently
with conformal invariance in order to derive all the terms the correlator
consists of and all the Ward identities implied by the requirements of general
covariance and anomalous Weyl symmetry. We test all these identities
numerically in several kinematic configurations. Mathematica notebooks
detailing the step-by-step computation are made publicly available through a
GitHub repository. To the best of our knowledge, this is the first explicit
result for the four-point correlation function of the energy-momentum tensor in
a conformal and non supersymmetric field theory which is readily numerically
evaluable in any kinematic configuration.
|
[
{
"created": "Sat, 18 Apr 2020 17:32:22 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2020 12:26:07 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Jul 2020 15:59:16 GMT",
"version": "v3"
},
{
"created": "Sun, 2 Aug 2020 09:29:45 GMT",
"version": "v4"
}
] |
2020-08-26
|
[
[
"Serino",
"Mirko",
""
]
] |
We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit evaluation of the Feynman diagrams by tensor reduction. We work by embedding the scalar field theory in a gravitational background consistently with conformal invariance in order to derive all the terms the correlator consists of and all the Ward identities implied by the requirements of general covariance and anomalous Weyl symmetry. We test all these identities numerically in several kinematic configurations. Mathematica notebooks detailing the step-by-step computation are made publicly available through a GitHub repository. To the best of our knowledge, this is the first explicit result for the four-point correlation function of the energy-momentum tensor in a conformal and non supersymmetric field theory which is readily numerically evaluable in any kinematic configuration.
|
1107.1430
|
Yu Tian
|
Chao Niu, Yu Tian, Xiao-Ning Wu, Yi Ling
|
Incompressible Navier-Stokes Equation from Einstein-Maxwell and
Gauss-Bonnet-Maxwell Theories
|
17 pages, revtex4; v2: references added; v3 slightly shortened
version published in PLB
|
Phys.Lett.B711:411-416,2012
|
10.1016/j.physletb.2012.04.029
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dual fluid description for a general cutoff surface at radius r=r_c
outside the horizon in the charged AdS black brane bulk space-time is
investigated, first in the Einstein-Maxwell theory. Under the non-relativistic
long-wavelength expansion with parameter \epsilon, the coupled Einstein-Maxwell
equations are solved up to O(\epsilon^2). The incompressible Navier-Stokes
equation with external force density is obtained as the constraint equation at
the cutoff surface. For non-extremal black brane, the viscosity of the dual
fluid is determined by the regularity of the metric fluctuation at the horizon,
whose ratio to entropy density \eta/s is independent of both the cutoff r_c and
the black brane charge. Then, we extend our discussion to the
Gauss-Bonnet-Maxwell case, where the incompressible Navier-Stokes equation with
external force density is also obtained at a general cutoff surface. In this
case, it turns out that the ratio \eta/s is independent of the cutoff r_c but
dependent on the charge density of the black brane.
|
[
{
"created": "Thu, 7 Jul 2011 15:35:26 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2011 15:14:35 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Apr 2012 14:09:52 GMT",
"version": "v3"
}
] |
2012-04-27
|
[
[
"Niu",
"Chao",
""
],
[
"Tian",
"Yu",
""
],
[
"Wu",
"Xiao-Ning",
""
],
[
"Ling",
"Yi",
""
]
] |
The dual fluid description for a general cutoff surface at radius r=r_c outside the horizon in the charged AdS black brane bulk space-time is investigated, first in the Einstein-Maxwell theory. Under the non-relativistic long-wavelength expansion with parameter \epsilon, the coupled Einstein-Maxwell equations are solved up to O(\epsilon^2). The incompressible Navier-Stokes equation with external force density is obtained as the constraint equation at the cutoff surface. For non-extremal black brane, the viscosity of the dual fluid is determined by the regularity of the metric fluctuation at the horizon, whose ratio to entropy density \eta/s is independent of both the cutoff r_c and the black brane charge. Then, we extend our discussion to the Gauss-Bonnet-Maxwell case, where the incompressible Navier-Stokes equation with external force density is also obtained at a general cutoff surface. In this case, it turns out that the ratio \eta/s is independent of the cutoff r_c but dependent on the charge density of the black brane.
|
1307.7565
|
Hiroaki Nakajima
|
Katsushi Ito, Hiroaki Nakajima and Shin Sasaki
|
Twisted N=4 Super Yang-Mills Theory in Omega-background
|
28 pages, 1 figure
|
JHEP 1310 (2013) 080
|
10.1007/JHEP10(2013)080
|
TIT/HEP-630
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the twisted N=4 super Yang-Mills theories in the Omega-background
with the constant R-symmetry Wilson line gauge field. Based on the
classification of topological twists of N=4 supersymmetry (the half, the
Vafa-Witten and the Marcus twists), we construct the deformed off-shell
supersymmetry associated with the scalar supercharges for these twists. We find
that the Omega-deformed action is written in the exact form with respect to the
scalar supercharges as in the undeformed case.
|
[
{
"created": "Mon, 29 Jul 2013 13:05:37 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Nov 2013 10:09:02 GMT",
"version": "v2"
}
] |
2014-05-21
|
[
[
"Ito",
"Katsushi",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We study the twisted N=4 super Yang-Mills theories in the Omega-background with the constant R-symmetry Wilson line gauge field. Based on the classification of topological twists of N=4 supersymmetry (the half, the Vafa-Witten and the Marcus twists), we construct the deformed off-shell supersymmetry associated with the scalar supercharges for these twists. We find that the Omega-deformed action is written in the exact form with respect to the scalar supercharges as in the undeformed case.
|
2112.12805
|
Julio Alberto M\'endez
|
Alfredo Herrera-Aguilar, Jhony A. Herrera-Mendoza, Daniel F.
Higuita-Borja, Julio A. M\'endez-Zavaleta, Carlos Eduardo Romero-Figueroa
|
Anisotropic Schr\"odinger black holes with hyperscaling-violation
|
17 pages, 8 Figures, 3 Tables
|
Eur. Phys. J. C 83, 334 (2023)
|
10.1140/epjc/s10052-023-11429-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate novel exact solutions to an Einstein-Maxwell theory
non-minimally coupled to a self-interacting dilaton-like scalar. Extending the
results of arXiv: 2012.13412 and 2110.04445, we report three families of exact
configurations over a non-relativistic Schr\"odinger background with both,
arbitrary dynamical critical exponent $z$ and hyperscaling violating parameter
$\theta$. Concretely, we provide field configurations with hyperscaling
violation which are asymptotically Schr\"odinger spaces. Our solutions
correspond to three kinds: a zero-temperature background, a naked singularity
and, more interestingly, a family of black holes. To the later, we construct
the corresponding Carter-Penrose diagram with a view to understand their causal
structure given the non-standard background. We show that a non-trivial
hyperscaling violation parameter $\theta$ is necessary in order to support a
real non-constant dilaton field in the configuration. We explore how the
relation between the hyperscaling violation parameter and the critical
dynamical exponent determine, in combination with the spacetime dimension, the
kinematic aspects of the fields. We provide a thorough study of the
thermodynamics including the quasi-local computation of charges, the
verification of the first law and arguments concerning the stability. Lastly,
we explore the effects in the thermodynamics from varying the rich parameter
space. We pay special attention in comparing the qualitative behavior of the
thermodynamics scalar-free solutions and the ones with a nontrivial dialton.
|
[
{
"created": "Thu, 23 Dec 2021 19:08:27 GMT",
"version": "v1"
}
] |
2024-07-26
|
[
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Herrera-Mendoza",
"Jhony A.",
""
],
[
"Higuita-Borja",
"Daniel F.",
""
],
[
"Méndez-Zavaleta",
"Julio A.",
""
],
[
"Romero-Figueroa",
"Carlos Eduardo",
""
]
] |
We investigate novel exact solutions to an Einstein-Maxwell theory non-minimally coupled to a self-interacting dilaton-like scalar. Extending the results of arXiv: 2012.13412 and 2110.04445, we report three families of exact configurations over a non-relativistic Schr\"odinger background with both, arbitrary dynamical critical exponent $z$ and hyperscaling violating parameter $\theta$. Concretely, we provide field configurations with hyperscaling violation which are asymptotically Schr\"odinger spaces. Our solutions correspond to three kinds: a zero-temperature background, a naked singularity and, more interestingly, a family of black holes. To the later, we construct the corresponding Carter-Penrose diagram with a view to understand their causal structure given the non-standard background. We show that a non-trivial hyperscaling violation parameter $\theta$ is necessary in order to support a real non-constant dilaton field in the configuration. We explore how the relation between the hyperscaling violation parameter and the critical dynamical exponent determine, in combination with the spacetime dimension, the kinematic aspects of the fields. We provide a thorough study of the thermodynamics including the quasi-local computation of charges, the verification of the first law and arguments concerning the stability. Lastly, we explore the effects in the thermodynamics from varying the rich parameter space. We pay special attention in comparing the qualitative behavior of the thermodynamics scalar-free solutions and the ones with a nontrivial dialton.
|
hep-th/0411182
|
Duong Phong
|
Eric D'Hoker and D.H. Phong
|
Asyzygies, modular forms, and the superstring measure II
|
41 pages
|
Nucl.Phys. B710 (2005) 83-116
|
10.1016/j.nuclphysb.2004.12.020
|
UCLA/04/TEP/47
|
hep-th math.CV
| null |
Precise factorization constraints are formulated for the three-loop
superstring chiral measure, in the separating degeneration limit. Several
natural Ans\"atze in terms of polynomials in theta constants for the density of
the measure are examined. None of these Ans\"atze turns out to satisfy the dual
criteria of modular covariance of weight 6, and of tending to the desired
degeneration limit. However, an Ansatz is found which does satisfy these
criteria for the square of the density of the measure, raising the possibility
that it is not the density of the measure, but its square which is a polynomial
in theta constants. A key notion is that of totally asyzygous sextets of spin
structures. It is argued that the Ansatz produces a vanishing cosmological
constant.
|
[
{
"created": "Fri, 19 Nov 2004 17:35:15 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] |
Precise factorization constraints are formulated for the three-loop superstring chiral measure, in the separating degeneration limit. Several natural Ans\"atze in terms of polynomials in theta constants for the density of the measure are examined. None of these Ans\"atze turns out to satisfy the dual criteria of modular covariance of weight 6, and of tending to the desired degeneration limit. However, an Ansatz is found which does satisfy these criteria for the square of the density of the measure, raising the possibility that it is not the density of the measure, but its square which is a polynomial in theta constants. A key notion is that of totally asyzygous sextets of spin structures. It is argued that the Ansatz produces a vanishing cosmological constant.
|
hep-th/0003205
|
Enrique Alvarez
|
Enrique Alvarez and Cesar Gomez
|
On the String Description of Confinement
|
LaTeX,8 pages, 3 figures.Acknowledgements added
|
JHEP 0005:012,2000
|
10.1088/1126-6708/2000/05/012
|
IFT-UAM/CSIC-00-14
|
hep-th
| null |
A non supersymmetric string background, directly derived from the string soft
dilaton theorem, is used to compute, in the semiclassical approximation, the
expectation value of Wilson loops in static gauge. The resulting potential
shares common features with the one obtained through Schwarzschild-anti de
Sitter spacetime metrics. In particular a linear confining potential appears
naturally.
|
[
{
"created": "Thu, 23 Mar 2000 09:24:35 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2000 13:28:14 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Gomez",
"Cesar",
""
]
] |
A non supersymmetric string background, directly derived from the string soft dilaton theorem, is used to compute, in the semiclassical approximation, the expectation value of Wilson loops in static gauge. The resulting potential shares common features with the one obtained through Schwarzschild-anti de Sitter spacetime metrics. In particular a linear confining potential appears naturally.
|
0909.3265
|
Dario Benedetti
|
Dario Benedetti, Pedro F. Machado, Frank Saueressig
|
Four-derivative interactions in asymptotically safe gravity
|
8 pages, 1 figure; to appear in the Proceedings of the XXV Max Born
Symposium "The Planck Scale", Wroclaw, 29 June - 3 July, 2009
| null |
10.1063/1.3284399
|
pi-qg-145; SPIN-09/34; ITP-UU-09/37; MZ-TH/09-34
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize recent progress in understanding the role of higher-derivative
terms in the asymptotic safety scenario of gravity. Extending previous
computations based on the functional renormalization group approach by
including a Weyl-squared term in the ansatz for the effective action, further
evidence for the existence of a non-Gaussian fixed point is found. The fixed
point also persists upon including a minimally coupled free scalar field,
providing an explicit example of perturbative counterterms being non-hazardous
for asymptotic safety.
|
[
{
"created": "Thu, 17 Sep 2009 16:34:55 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Benedetti",
"Dario",
""
],
[
"Machado",
"Pedro F.",
""
],
[
"Saueressig",
"Frank",
""
]
] |
We summarize recent progress in understanding the role of higher-derivative terms in the asymptotic safety scenario of gravity. Extending previous computations based on the functional renormalization group approach by including a Weyl-squared term in the ansatz for the effective action, further evidence for the existence of a non-Gaussian fixed point is found. The fixed point also persists upon including a minimally coupled free scalar field, providing an explicit example of perturbative counterterms being non-hazardous for asymptotic safety.
|
2101.12540
|
Aruna Rajagopal
|
Napat Poovuttikul, Aruna Rajagopal
|
Operator lifetime and the force-free electrodynamic limit of magnetised
holographic plasma
|
20 pages, 5 figures
| null |
10.1007/JHEP09(2021)091
| null |
hep-th astro-ph.HE
|
http://creativecommons.org/licenses/by/4.0/
|
Using the framework of higher-form global symmetries, we examine the regime
of validity of force-free electrodynamics by evaluating the lifetime of the
electric field operator, which is non-conserved due to screening effects. We
focus on a holographic model which has the same global symmetry as that of low
energy plasma and obtain the lifetime of (non-conserved) electric flux in a
strong magnetic field regime. The lifetime is inversely correlated to the
magnetic field strength and thus suppressed in the strong field regime.
|
[
{
"created": "Fri, 29 Jan 2021 12:23:37 GMT",
"version": "v1"
}
] |
2021-10-04
|
[
[
"Poovuttikul",
"Napat",
""
],
[
"Rajagopal",
"Aruna",
""
]
] |
Using the framework of higher-form global symmetries, we examine the regime of validity of force-free electrodynamics by evaluating the lifetime of the electric field operator, which is non-conserved due to screening effects. We focus on a holographic model which has the same global symmetry as that of low energy plasma and obtain the lifetime of (non-conserved) electric flux in a strong magnetic field regime. The lifetime is inversely correlated to the magnetic field strength and thus suppressed in the strong field regime.
|
hep-th/9906062
|
Christof Wetterich
|
Christof Wetterich
|
Gluon-Meson Duality
|
7 pages
|
Phys.Lett. B462 (1999) 164-168
|
10.1016/S0370-2693(99)00876-X
|
HD-THEP-99-16
|
hep-th
| null |
The QCD-vacuum is characterized by the Higgs phenomenon for colored scalar
fields. In this dual picture the gluons appear as the octet of vector mesons.
Also quarks and baryons are identified. Gluon-meson and quark-baryon duality
can account in a simple way for realistic masses of all low-mass hadrons and
for their interactions.
|
[
{
"created": "Tue, 8 Jun 1999 13:56:35 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Wetterich",
"Christof",
""
]
] |
The QCD-vacuum is characterized by the Higgs phenomenon for colored scalar fields. In this dual picture the gluons appear as the octet of vector mesons. Also quarks and baryons are identified. Gluon-meson and quark-baryon duality can account in a simple way for realistic masses of all low-mass hadrons and for their interactions.
|
hep-th/9710083
|
Homayoun Hamidian
|
H. Hamidian
|
Infra-Red Stable Supersymmetry in Chern-Simons Theories with Matter and
Quenched Disorder
|
8 pp., LaTeX. Explanatory remarks and references added. Version to
appear in Phys. Rev. Lett
|
Phys.Rev.Lett. 80 (1998) 1389-1392
|
10.1103/PhysRevLett.80.1389
| null |
hep-th
| null |
We study Abelian Chern-Simons field theories with matter fields and global
SU(N) symmetry in the presence of random weak quenched disorder. In the absence
of disorder these theories possess N=2 supersymmetric fixed points and N=1
supersymmetric fixed lines in the infra-red limit. We show that although the
presence of disorder forbids any supersymmetry of the bare action, infra-red
stable supersymmetric fixed points and fixed lines are realized in the
disorder-averaged effective theories.
|
[
{
"created": "Thu, 9 Oct 1997 15:37:13 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 1997 14:55:59 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Hamidian",
"H.",
""
]
] |
We study Abelian Chern-Simons field theories with matter fields and global SU(N) symmetry in the presence of random weak quenched disorder. In the absence of disorder these theories possess N=2 supersymmetric fixed points and N=1 supersymmetric fixed lines in the infra-red limit. We show that although the presence of disorder forbids any supersymmetry of the bare action, infra-red stable supersymmetric fixed points and fixed lines are realized in the disorder-averaged effective theories.
|
1301.5194
|
Sergei Kuzenko
|
Sergei M. Kuzenko
|
Duality rotations in supersymmetric nonlinear electrodynamics revisited
|
22 pages. V2: references and comments added
| null |
10.1007/JHEP03(2013)153
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the U(1) duality-invariant nonlinear models for N=1 and N=2 vector
multiplets coupled to off-shell supergravities. For such theories we develop
new formulations which make use of auxiliary chiral superfields (spinor in the
N=1 case and scalar for N=2) and are characterized by the remarkable property
that U(1) duality invariance is equivalent to the manifest U(1) invariance of
the self-interaction. Our construction is inspired by the non-supersymmetric
approach that was proposed by Ivanov and Zupnik a decade ago and recently
re-discovered in the form of twisted self-duality.
|
[
{
"created": "Tue, 22 Jan 2013 14:29:27 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2013 05:17:12 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Kuzenko",
"Sergei M.",
""
]
] |
We revisit the U(1) duality-invariant nonlinear models for N=1 and N=2 vector multiplets coupled to off-shell supergravities. For such theories we develop new formulations which make use of auxiliary chiral superfields (spinor in the N=1 case and scalar for N=2) and are characterized by the remarkable property that U(1) duality invariance is equivalent to the manifest U(1) invariance of the self-interaction. Our construction is inspired by the non-supersymmetric approach that was proposed by Ivanov and Zupnik a decade ago and recently re-discovered in the form of twisted self-duality.
|
hep-th/0403211
|
Lars Brink
|
Lars Brink
|
The Emergence of Anticommuting Coordinates and the Dirac-Ramond-Kostant
operators
|
14 pages, Contribution to the Proceedings of The Gunnar Nordstr\"om
Symposium on Theoretical Physics - The Physics of Extra Dimensions
| null | null | null |
hep-th
| null |
The history of anticommuting coordinates is decribed.
|
[
{
"created": "Mon, 22 Mar 2004 10:16:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brink",
"Lars",
""
]
] |
The history of anticommuting coordinates is decribed.
|
2001.11790
|
Eric Bergshoeff
|
Eric Bergshoeff, Joaquim Gomis and Patricio Salgado-Rebolledo
|
Non-relativistic limits and three-dimensional coadjoint Poincare gravity
|
28 pages
| null |
10.1098/rspa.2020.0106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a recently proposed action for three-dimensional
non-relativistic gravity can be obtained by taking the limit of a relativistic
Lagrangian that involves the co-adjoint Poincare algebra. We point out the
similarity of our construction with the way that three-dimensional Galilei
Gravity and Extended Bargmann Gravity can be obtained by taking the limit of a
relativistic Lagrangian that involves the Poincare algebra. We extend our
results to the AdS case and we will see that there is a chiral decomposition
both at the relativistic and non-relativistic level. We comment on possible
further generalizations.
|
[
{
"created": "Fri, 31 Jan 2020 12:24:51 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Bergshoeff",
"Eric",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
]
] |
We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the co-adjoint Poincare algebra. We point out the similarity of our construction with the way that three-dimensional Galilei Gravity and Extended Bargmann Gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the Poincare algebra. We extend our results to the AdS case and we will see that there is a chiral decomposition both at the relativistic and non-relativistic level. We comment on possible further generalizations.
|
hep-th/0212172
|
Li-Sheng Tseng
|
Li-Sheng Tseng
|
SL(2,Z) Multiplets in N=4 SYM Theory
|
14 pages, harvmac; v2: published version with minor changes
|
JHEP 0301 (2003) 071
|
10.1088/1126-6708/2003/01/071
|
EFI-02-49
|
hep-th
| null |
We discuss the action of SL(2,Z) on local operators in D=4, N=4 SYM theory in
the superconformal phase. The modular property of the operator's scaling
dimension determines whether the operator transforms as a singlet, or
covariantly, as part of a finite or infinite dimensional multiplet under the
SL(2,Z) action. As an example, we argue that operators in the Konishi multiplet
transform as part of a (p,q) PSL(2,Z) multiplet. We also comment on the
non-perturbative local operators dual to the Konishi multiplet.
|
[
{
"created": "Mon, 16 Dec 2002 20:40:58 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2003 00:46:15 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Tseng",
"Li-Sheng",
""
]
] |
We discuss the action of SL(2,Z) on local operators in D=4, N=4 SYM theory in the superconformal phase. The modular property of the operator's scaling dimension determines whether the operator transforms as a singlet, or covariantly, as part of a finite or infinite dimensional multiplet under the SL(2,Z) action. As an example, we argue that operators in the Konishi multiplet transform as part of a (p,q) PSL(2,Z) multiplet. We also comment on the non-perturbative local operators dual to the Konishi multiplet.
|
0708.0924
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
Modified non-local-F(R) gravity as the key for the inflation and dark
energy
|
LaTeX file, 9 pages, version to appear in PLB
|
Phys.Lett.B659:821-826,2008
|
10.1016/j.physletb.2007.12.001
|
YITP-07-49
|
hep-th astro-ph gr-qc
| null |
We consider FRW cosmology in non-local modified gravity. Its local
scalar-tensor formulation is developed. It is explicitly demonstrated that such
theory may lead to the unification of early-time inflation with late-time
cosmic acceleration. The quintessence or phantom era may emerge for specific
form of the action. The coupled non-local-F(R) gravity is also investigated. It
is shown that such theory being consistent with Solar System tests may lead to
the known universe history sequence: inflation, radiation/matter dominance and
dark epoch.
|
[
{
"created": "Tue, 7 Aug 2007 11:07:24 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2007 20:02:14 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Dec 2007 12:21:47 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
We consider FRW cosmology in non-local modified gravity. Its local scalar-tensor formulation is developed. It is explicitly demonstrated that such theory may lead to the unification of early-time inflation with late-time cosmic acceleration. The quintessence or phantom era may emerge for specific form of the action. The coupled non-local-F(R) gravity is also investigated. It is shown that such theory being consistent with Solar System tests may lead to the known universe history sequence: inflation, radiation/matter dominance and dark epoch.
|
1406.4506
|
Masaki Shigemori
|
Iosif Bena, Masaki Shigemori and Nicholas P. Warner
|
Black-Hole Entropy from Supergravity Superstrata States
|
35 pages, 3 figures
|
JHEP10(2014)140
|
10.1007/JHEP10(2014)140
|
IPhT-T14/072, YITP-14-36
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are, by now, several arguments that superstrata, which represent
D1-D5-P bound states that depend upon arbitrary functions of two variables and
that preserve four supersymmetries, exist in string theory, and that their
gravitational back-reaction results in smooth horizonless solutions. In this
paper we examine the shape and density modes of the superstratum and give
strong evidence that the back-reacted supergravity solution allows for
fluctuation modes whose quantization reproduces the entropy growth of black
holes as a function of the charges. In particular, we argue that the shape
modes of the superstratum that lie purely within the non-compact space-time
directions account for at least $1/\sqrt{6}$ of the entropy of the D1-D5-P
black hole and propose a way in which the rest of the entropy could be captured
by superstratum fluctuations. We complete the picture by conjecturing a
relationship between bound states of multiple superstrata and momentum
excitations of different twisted sectors of the dual CFT.
|
[
{
"created": "Tue, 17 Jun 2014 20:00:15 GMT",
"version": "v1"
}
] |
2014-11-03
|
[
[
"Bena",
"Iosif",
""
],
[
"Shigemori",
"Masaki",
""
],
[
"Warner",
"Nicholas P.",
""
]
] |
There are, by now, several arguments that superstrata, which represent D1-D5-P bound states that depend upon arbitrary functions of two variables and that preserve four supersymmetries, exist in string theory, and that their gravitational back-reaction results in smooth horizonless solutions. In this paper we examine the shape and density modes of the superstratum and give strong evidence that the back-reacted supergravity solution allows for fluctuation modes whose quantization reproduces the entropy growth of black holes as a function of the charges. In particular, we argue that the shape modes of the superstratum that lie purely within the non-compact space-time directions account for at least $1/\sqrt{6}$ of the entropy of the D1-D5-P black hole and propose a way in which the rest of the entropy could be captured by superstratum fluctuations. We complete the picture by conjecturing a relationship between bound states of multiple superstrata and momentum excitations of different twisted sectors of the dual CFT.
|
hep-th/0607133
|
Roberto Volpato
|
Marco Matone, Paolo Pasti, Sergey Shadchin and Roberto Volpato
|
Compactified Strings as Quantum Statistical Partition Function on the
Jacobian Torus
|
10 pages, typos corrected, minor changes; to appear in Physical
Review Letters
|
Phys.Rev.Lett.97:261601,2006
|
10.1103/PhysRevLett.97.261601
| null |
hep-th cond-mat.stat-mech math-ph math.MP quant-ph
| null |
We show that the solitonic contribution of compactified strings corresponds
to the quantum statistical partition function of a free particle living on
higher dimensional spaces. In the simplest case of a compactification in a
circle, the Hamiltonian corresponds to the Laplacian on the 2g-dimensional
Jacobian torus associated to the genus g Riemann surface corresponding to the
string worldsheet. T-duality leads to a symmetry of the partition function
mixing time and temperature. Such a classical/quantum correspondence and
T-duality shed some light on the well-known interplay between time and
temperature in QFT and classical statistical mechanics.
|
[
{
"created": "Thu, 20 Jul 2006 18:53:09 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 2006 16:46:22 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Nov 2006 15:54:44 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Matone",
"Marco",
""
],
[
"Pasti",
"Paolo",
""
],
[
"Shadchin",
"Sergey",
""
],
[
"Volpato",
"Roberto",
""
]
] |
We show that the solitonic contribution of compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of a compactification in a circle, the Hamiltonian corresponds to the Laplacian on the 2g-dimensional Jacobian torus associated to the genus g Riemann surface corresponding to the string worldsheet. T-duality leads to a symmetry of the partition function mixing time and temperature. Such a classical/quantum correspondence and T-duality shed some light on the well-known interplay between time and temperature in QFT and classical statistical mechanics.
|
2001.04873
|
Evgeny Ivanov
|
E. Ivanov, O. Lechtenfeld, S. Fedoruk
|
Supersymmetric Calogero models from superfield gauging
|
8 pages, Talk given by E. Ivanov at International Bogolyubov
Conference "Problems of Theoretical and Mathematical Physics". September
9-13, 2019; Moscow-Dubna, Russia
| null |
10.1134/S1063779620040346
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the superfield gauging procedure, we construct new ${\cal N}\,{=}\,2$
and ${\cal N}\,{=}\,4$ superfield systems that generalize Calogero models. In
the bosonic limit, these systems yield rational Calogero models and hyperbolic
Calogero-Sutherland models in the ${\cal N}\,{=}\,2$ case, and their ${\rm
U}(2)$ spin generalization in the ${\cal N}\,{=}\,4$ case.
|
[
{
"created": "Tue, 14 Jan 2020 16:27:19 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Ivanov",
"E.",
""
],
[
"Lechtenfeld",
"O.",
""
],
[
"Fedoruk",
"S.",
""
]
] |
Using the superfield gauging procedure, we construct new ${\cal N}\,{=}\,2$ and ${\cal N}\,{=}\,4$ superfield systems that generalize Calogero models. In the bosonic limit, these systems yield rational Calogero models and hyperbolic Calogero-Sutherland models in the ${\cal N}\,{=}\,2$ case, and their ${\rm U}(2)$ spin generalization in the ${\cal N}\,{=}\,4$ case.
|
hep-th/0012267
|
Guillermo A. Silva
|
Guillermo A. Silva
|
Born-Infeld action and Supersymmetry (in spanish)
|
PhD Thesis, 149 pages, 4 figures
| null | null | null |
hep-th
| null |
In the thesis we analize different problems related to the supersymmetric
extension of the Dirac-Born-Infeld action. In chapter 2 we introduce the DBI
action and show how it appears in string theory, we discuss also it's
connection with Dp-branes. Chapter 3 is a self contained introduction to
supersymmetry, with emphasis on BPS states. In chapter 4 we construct the N=2
supersymmetric extension of the Born-Infeld-Higgs in three space-time
dimensions and discuss it's BPS states and Bogomol'nyi bounds. In chapter 5 we
construct the N=1 supersymmetric extension of the non-abelian Born-Infeld
theory in four space-time dimensions. Chapter 6 deals with the analisis of BPS
and non-BPS solutions of the Dirac-Born-Infeld action and their interpretation
in superstring theory. Chapter 7 is devoted to the conclusions. Three appendix
complete the work.
|
[
{
"created": "Fri, 29 Dec 2000 19:50:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Silva",
"Guillermo A.",
""
]
] |
In the thesis we analize different problems related to the supersymmetric extension of the Dirac-Born-Infeld action. In chapter 2 we introduce the DBI action and show how it appears in string theory, we discuss also it's connection with Dp-branes. Chapter 3 is a self contained introduction to supersymmetry, with emphasis on BPS states. In chapter 4 we construct the N=2 supersymmetric extension of the Born-Infeld-Higgs in three space-time dimensions and discuss it's BPS states and Bogomol'nyi bounds. In chapter 5 we construct the N=1 supersymmetric extension of the non-abelian Born-Infeld theory in four space-time dimensions. Chapter 6 deals with the analisis of BPS and non-BPS solutions of the Dirac-Born-Infeld action and their interpretation in superstring theory. Chapter 7 is devoted to the conclusions. Three appendix complete the work.
|
hep-th/9404045
|
Solodukhin-63942
|
S.N.Solodukhin
|
Exact Solution of 2D Poincare Gravity Coupled to Fermion Matter
|
Preprint JINR E2-94-117, 15p., Latex
|
Phys.Rev. D51 (1995) 603-608
|
10.1103/PhysRevD.51.603
| null |
hep-th
| null |
The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection
one-form $\omega^{a}_{\ b}$ as independent gravitational variables coupled to
2d massless Dirac matter is considered. It is shown that the classical
equations of motion are exactly integrated in the case of chiral fermions.
|
[
{
"created": "Thu, 7 Apr 1994 06:05:51 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Solodukhin",
"S. N.",
""
]
] |
The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables coupled to 2d massless Dirac matter is considered. It is shown that the classical equations of motion are exactly integrated in the case of chiral fermions.
|
1912.10997
|
Anosh Joseph
|
Anosh Joseph
|
Markov Chain Monte Carlo Methods in Quantum Field Theories: A Modern
Primer
|
v3: 125 pages, 33 figures, references updated. Based on the three
lectures given at the 2019 Joburg School in Theoretical Physics: Aspects of
Machine Learning, Mandelstam Institute for Theoretical Physics, The
University of the Witwatersrand, Johannesburg, South Africa (November 11 -
15, 2019). Published as part of Springer Briefs in Physics (2020). Author
version of the manuscript
|
Springer Briefs in Physics 2020
|
10.1007/978-3-030-46044-0
| null |
hep-th hep-lat physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce and discuss Monte Carlo methods in quantum field theories.
Methods of independent Monte Carlo, such as random sampling and importance
sampling, and methods of dependent Monte Carlo, such as Metropolis sampling and
Hamiltonian Monte Carlo, are introduced. We review the underlying theoretical
foundations of Markov chain Monte Carlo. We provide several examples of Monte
Carlo simulations, including one-dimensional simple harmonic oscillator,
unitary matrix model exhibiting Gross-Witten-Wadia transition and a
supersymmetric model exhibiting dynamical supersymmetry breaking.
|
[
{
"created": "Mon, 23 Dec 2019 17:53:16 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2020 14:09:04 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Nov 2020 15:54:52 GMT",
"version": "v3"
}
] |
2020-12-01
|
[
[
"Joseph",
"Anosh",
""
]
] |
We introduce and discuss Monte Carlo methods in quantum field theories. Methods of independent Monte Carlo, such as random sampling and importance sampling, and methods of dependent Monte Carlo, such as Metropolis sampling and Hamiltonian Monte Carlo, are introduced. We review the underlying theoretical foundations of Markov chain Monte Carlo. We provide several examples of Monte Carlo simulations, including one-dimensional simple harmonic oscillator, unitary matrix model exhibiting Gross-Witten-Wadia transition and a supersymmetric model exhibiting dynamical supersymmetry breaking.
|
hep-th/9807098
|
Martin Stock
|
Eric D'Hoker, Daniel Z. Freedman, and Witold Skiba
|
Field Theory Tests for Correlators in the AdS/CFT Correspondence
|
14 pages, 4 figures + 3 inline text illustrations, LaTeX2e; email to
dzf@math.mit.edu (D.Z. Freedman)
|
Phys.Rev.D59:045008,1999
|
10.1103/PhysRevD.59.045008
|
MIT-CTP-2756
|
hep-th
| null |
The order g^2 radiative corrections to all 2- and 3-point correlators of the
composite primary operators Tr X^k are computed in {\cal N} = 4 supersymmetric
Yang-Mills theory with gauge group SU(N). Corrections are found to vanish for
all N. For k=2 this is a consequence of known superconformal nonrenormalization
theorems, and for general k the result confirms an N-to-infinity, fixed large
g^2N supergravity calculation and further conjectures in hep-th/9806074. A
3-point correlator involving {\cal N} = 4 descendents of Tr X^2 is calculated,
and its order g^2 contribution also vanishes, giving evidence for the absence
of radiative corrections in correlators of descendent operators.
|
[
{
"created": "Tue, 14 Jul 1998 18:40:21 GMT",
"version": "v1"
}
] |
2009-10-08
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Skiba",
"Witold",
""
]
] |
The order g^2 radiative corrections to all 2- and 3-point correlators of the composite primary operators Tr X^k are computed in {\cal N} = 4 supersymmetric Yang-Mills theory with gauge group SU(N). Corrections are found to vanish for all N. For k=2 this is a consequence of known superconformal nonrenormalization theorems, and for general k the result confirms an N-to-infinity, fixed large g^2N supergravity calculation and further conjectures in hep-th/9806074. A 3-point correlator involving {\cal N} = 4 descendents of Tr X^2 is calculated, and its order g^2 contribution also vanishes, giving evidence for the absence of radiative corrections in correlators of descendent operators.
|
2110.07662
|
Davide Rindori
|
Davide Rindori
|
Entropy current in relativistic quantum statistical mechanics
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this thesis, we present and discuss the quantum statistical foundations of
relativistic hydrodynamics with special emphasis on the entropy current. We
show that it is possible to provide a rigorous definition for this quantity in
the framework of relativistic quantum statistical mechanics and we put forward
a general method to calculate it at local thermodynamic equilibrium. The method
is based on the proof of existence of the thermodynamic potential current, a
usually tacitly understood hypothesis. We then apply the method for the entropy
current to the study of two different systems. The first system is a
relativistic quantum fluid at global thermodynamic equilibrium,
phenomenologically related to the quark-gluon plasma and, from a quantum field
theoretical standpoint, to the Unruh effect. The second systems is a
relativistic quantum fluid with boost invariance, also related to the
quark-gluon plasma and of great interest as the first solvable system out of
equilibrium. The thermal expectation value of the energy-momentum tensor as
well as the entropy current are calculated for both systems, and
renormalization is discussed.
|
[
{
"created": "Thu, 14 Oct 2021 18:44:12 GMT",
"version": "v1"
}
] |
2021-10-18
|
[
[
"Rindori",
"Davide",
""
]
] |
In this thesis, we present and discuss the quantum statistical foundations of relativistic hydrodynamics with special emphasis on the entropy current. We show that it is possible to provide a rigorous definition for this quantity in the framework of relativistic quantum statistical mechanics and we put forward a general method to calculate it at local thermodynamic equilibrium. The method is based on the proof of existence of the thermodynamic potential current, a usually tacitly understood hypothesis. We then apply the method for the entropy current to the study of two different systems. The first system is a relativistic quantum fluid at global thermodynamic equilibrium, phenomenologically related to the quark-gluon plasma and, from a quantum field theoretical standpoint, to the Unruh effect. The second systems is a relativistic quantum fluid with boost invariance, also related to the quark-gluon plasma and of great interest as the first solvable system out of equilibrium. The thermal expectation value of the energy-momentum tensor as well as the entropy current are calculated for both systems, and renormalization is discussed.
|
hep-th/0003064
|
Vladimir Kazakov
|
V. A. Kazakov
|
Solvable Matrix Models
|
16 pages, a talk delivered at the MSRI Workshop ``Matrix Models and
Painlev\'e Equations'', Berkeley (USA) 1999
| null | null |
LPTENS-00/09
|
hep-th
| null |
We review some old and new methods of reduction of the number of degrees of
freedom from ~N^2 to ~N in the multi-matrix integrals.
|
[
{
"created": "Wed, 8 Mar 2000 20:08:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kazakov",
"V. A.",
""
]
] |
We review some old and new methods of reduction of the number of degrees of freedom from ~N^2 to ~N in the multi-matrix integrals.
|
1508.07255
|
Stefano Bellucci
|
S. Bellucci, A. A. Saharian, V. Vardanyan
|
Vacuum currents in braneworlds on AdS bulk with compact dimensions
|
30 pages, 8 figures, PACS numbers: 04.62.+v, 04.50.-h, 11.10.Kk,
11.25.-w
|
JHEP 11 (2015) 092
|
10.1007/JHEP11(2015)092
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The two-point function and VEV of the current density are investigated for a
massive charged scalar field with arbitrary curvature coupling in the geometry
of a brane on background of AdS spacetime with partial toroidal
compactification.The presence of a gauge field flux enclosed by compact
dimensions is assumed.On the brane the field obeys Robin boundary condition and
along compact dimensions periodicity conditions with general phases are
imposed.There is a range in the space of values for the coefficient in the
boundary condition where Poincare vacuum is unstable.This range depends on the
brane location.In models with compact dimensions the stability condition is
less restrictive than for AdS bulk with trivial topology.Vacuum charge density
and components of current along non-compact dimensions vanish. VEV of the
current density along compact dimensions is a periodic function of the gauge
field flux with a period equal to the flux quantum.It is decomposed into the
boundary-free and brane-induced contributions.The asymptotic behavior of the
latter is investigated near the brane, AdS boundary and horizon.In contrast to
VEVs of the field squared and energy-momentum tensor, current density is finite
on brane and vanishes for the special case of Dirichlet boundary condition.Both
boundary-free and brane-induced contributions vanish on AdS
boundary.Brane-induced contribution vanishes on the horizon and for points near
the horizon the current is dominated by the boundary-free part.In the
near-horizon limit, the latter is connected to the corresponding quantity for a
massless field in the Minkowski bulk by a simple conformal relation.Depending
on the value of the Robin coefficient, the presence of the brane can either
increase or decrease the vacuum currents. Applications are given for a
higher-dimensional version of the Randall-Sundrum 1-brane model
|
[
{
"created": "Fri, 28 Aug 2015 16:02:53 GMT",
"version": "v1"
}
] |
2015-12-22
|
[
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Vardanyan",
"V.",
""
]
] |
The two-point function and VEV of the current density are investigated for a massive charged scalar field with arbitrary curvature coupling in the geometry of a brane on background of AdS spacetime with partial toroidal compactification.The presence of a gauge field flux enclosed by compact dimensions is assumed.On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed.There is a range in the space of values for the coefficient in the boundary condition where Poincare vacuum is unstable.This range depends on the brane location.In models with compact dimensions the stability condition is less restrictive than for AdS bulk with trivial topology.Vacuum charge density and components of current along non-compact dimensions vanish. VEV of the current density along compact dimensions is a periodic function of the gauge field flux with a period equal to the flux quantum.It is decomposed into the boundary-free and brane-induced contributions.The asymptotic behavior of the latter is investigated near the brane, AdS boundary and horizon.In contrast to VEVs of the field squared and energy-momentum tensor, current density is finite on brane and vanishes for the special case of Dirichlet boundary condition.Both boundary-free and brane-induced contributions vanish on AdS boundary.Brane-induced contribution vanishes on the horizon and for points near the horizon the current is dominated by the boundary-free part.In the near-horizon limit, the latter is connected to the corresponding quantity for a massless field in the Minkowski bulk by a simple conformal relation.Depending on the value of the Robin coefficient, the presence of the brane can either increase or decrease the vacuum currents. Applications are given for a higher-dimensional version of the Randall-Sundrum 1-brane model
|
0808.2330
|
Youngone Lee
|
Ee Chang-Young, Daeho Lee, Youngone Lee
|
Noncommutative BTZ Black Hole in Polar Coordinates
|
14 pages, V2: minor changes, v3: reduced for clarification, a
reference added
|
Class.Quant.Grav.26:185001,2009
|
10.1088/0264-9381/26/18/185001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the equivalence between the three dimensional gravity and the
Chern-Simons theory, we obtain a noncommutative BTZ black hole solution as a
solution of $U(1,1)\times U(1,1)$ noncommutative Chern-Simons theory using the
Seiberg-Witten map. The Seiberg-Witten map is carried out in a noncommutative
polar coordinates whose commutation relation is equivalent to the usual
canonical commutation relation in the rectangular coordinates up to first order
in the noncommutativity parameter $\theta$. The solution exhibits a
characteristic of noncommutative polar coordinates in such a way that the
apparent horizon and the Killing horizon coincide only in the non-rotating
limit showing the effect of noncommutativity between the radial and angular
coordinates.
|
[
{
"created": "Mon, 18 Aug 2008 11:20:45 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 2008 06:43:48 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2008 15:24:11 GMT",
"version": "v3"
}
] |
2009-09-28
|
[
[
"Chang-Young",
"Ee",
""
],
[
"Lee",
"Daeho",
""
],
[
"Lee",
"Youngone",
""
]
] |
Based on the equivalence between the three dimensional gravity and the Chern-Simons theory, we obtain a noncommutative BTZ black hole solution as a solution of $U(1,1)\times U(1,1)$ noncommutative Chern-Simons theory using the Seiberg-Witten map. The Seiberg-Witten map is carried out in a noncommutative polar coordinates whose commutation relation is equivalent to the usual canonical commutation relation in the rectangular coordinates up to first order in the noncommutativity parameter $\theta$. The solution exhibits a characteristic of noncommutative polar coordinates in such a way that the apparent horizon and the Killing horizon coincide only in the non-rotating limit showing the effect of noncommutativity between the radial and angular coordinates.
|
hep-th/9210014
|
Michel Talon
|
M. Talon
|
Two--poles R-matrices
|
10 pages
| null | null | null |
hep-th
| null |
We study integrable dynamical systems described by a Lax pair involving a
spectral parameter. By solving the classical Yang-Baxter equation when the
R-matrix has two poles we show that they can be interpreted as natural motions
on a twisted loop algebra.
|
[
{
"created": "Fri, 2 Oct 1992 09:26:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Talon",
"M.",
""
]
] |
We study integrable dynamical systems described by a Lax pair involving a spectral parameter. By solving the classical Yang-Baxter equation when the R-matrix has two poles we show that they can be interpreted as natural motions on a twisted loop algebra.
|
hep-th/0201170
|
Cristian Martinez
|
Marc Henneaux, Cristian Martinez, Ricardo Troncoso and Jorge Zanelli
|
Black holes and asymptotics of 2+1 gravity coupled to a scalar field
|
8 pages, 1 figure, typos added, CECS style. Last version for PRD
|
Phys.Rev. D65 (2002) 104007
|
10.1103/PhysRevD.65.104007
|
CECS-PHY-01/06, ULB-TH-02/07
|
hep-th gr-qc
| null |
We consider 2+1 gravity minimally coupled to a self-interacting scalar field.
The case in which the fall-off of the fields at infinity is slower than that of
a localized distribution of matter is analyzed. It is found that the asymptotic
symmetry group remains the same as in pure gravity (i.e., the conformal group).
The generators of the asymptotic symmetries, however, acquire a contribution
from the scalar field, but the algebra of the canonical generators possesses
the standard central extension. In this context, new massive black hole
solutions with a regular scalar field are found for a one-parameter family of
potentials. These black holes are continuously connected to the standard zero
mass black hole.
|
[
{
"created": "Tue, 22 Jan 2002 00:24:36 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2002 04:46:56 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Henneaux",
"Marc",
""
],
[
"Martinez",
"Cristian",
""
],
[
"Troncoso",
"Ricardo",
""
],
[
"Zanelli",
"Jorge",
""
]
] |
We consider 2+1 gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic symmetry group remains the same as in pure gravity (i.e., the conformal group). The generators of the asymptotic symmetries, however, acquire a contribution from the scalar field, but the algebra of the canonical generators possesses the standard central extension. In this context, new massive black hole solutions with a regular scalar field are found for a one-parameter family of potentials. These black holes are continuously connected to the standard zero mass black hole.
|
hep-th/0005088
|
Alexei Yung
|
Alexei Yung
|
What Do We Learn about Confinement from the Seiberg-Witten Theory
|
LATEX file, 28 pages; Talk given at XXXIV PNPI Winter School in
Nuclear and Particle Physics, to appear in the Proceedings
| null | null |
PNPI-TH-3400
|
hep-th
| null |
The confinement scenario in N=2 supersymmetric gauge theory at the monopole
point is reviewed. Basic features of this U(1) confinement are contrasted with
those we expect in QCD. In particular, extra states in the hadron spectrum and
non-linear Regge trajectories are discussed. Then another confinement scenario
arising on Higgs branches of the theory with fundamental matter is also
reviewed. Peculiar properties of the Abrikosov-Nielsen-Olesen string on the
Higgs branch lead to a new confining regime with the logarithmic suppression of
the linear rising potential. Motivations for a search for tensionless strings
are proposed.
|
[
{
"created": "Tue, 9 May 2000 22:04:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Yung",
"Alexei",
""
]
] |
The confinement scenario in N=2 supersymmetric gauge theory at the monopole point is reviewed. Basic features of this U(1) confinement are contrasted with those we expect in QCD. In particular, extra states in the hadron spectrum and non-linear Regge trajectories are discussed. Then another confinement scenario arising on Higgs branches of the theory with fundamental matter is also reviewed. Peculiar properties of the Abrikosov-Nielsen-Olesen string on the Higgs branch lead to a new confining regime with the logarithmic suppression of the linear rising potential. Motivations for a search for tensionless strings are proposed.
|
hep-th/9707128
|
Felix Finster
|
Felix Finster
|
Light-Cone Expansion of the Dirac Sea to First Order in the External
Potential
|
28 pages, typo in eq. (B.2) corrected
|
Michigan Math.J. 46 (1999) 377-408
|
10.1307/mmj/1030132417
| null |
hep-th math-ph math.MP
| null |
The perturbation of the Dirac sea to first order in the external potential is
calculated in an expansion around the light cone. It is shown that the
perturbation consists of a causal contribution, which describes the singular
behavior of the Dirac sea on the light cone and contains bounded line integrals
over the potential and its partial derivatives, and a non-causal contribution,
which is a smooth function. As a preparatory step, we construct a formal
solution of the inhomogeneous Klein-Gordon equation in terms of an infinite
series of line integrals.
More generally, the method presented can be used for an explicit analysis of
Feynman diagrams of the Dirac, Klein-Gordon, and wave equations in position
space.
|
[
{
"created": "Mon, 14 Jul 1997 13:32:16 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 1998 04:12:25 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jun 1999 14:37:43 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Mar 2008 09:34:26 GMT",
"version": "v4"
}
] |
2014-01-28
|
[
[
"Finster",
"Felix",
""
]
] |
The perturbation of the Dirac sea to first order in the external potential is calculated in an expansion around the light cone. It is shown that the perturbation consists of a causal contribution, which describes the singular behavior of the Dirac sea on the light cone and contains bounded line integrals over the potential and its partial derivatives, and a non-causal contribution, which is a smooth function. As a preparatory step, we construct a formal solution of the inhomogeneous Klein-Gordon equation in terms of an infinite series of line integrals. More generally, the method presented can be used for an explicit analysis of Feynman diagrams of the Dirac, Klein-Gordon, and wave equations in position space.
|
hep-th/9202051
| null |
P.~Berglund, B.R.~Greene and T.~H\"ubsch
|
Classical {\it vs.}\ Landau-Ginzburg Geometry of Compactification
|
14 p
|
Mod.Phys.Lett.A7:1855-1870,1992
|
10.1142/S0217732392001567
| null |
hep-th
| null |
We consider superstring compactifications where both the classical
description, in terms of a Calabi-Yau manifold, and also the quantum theory is
known in terms of a Landau-Ginzburg orbifold model. In particular, we study
(smooth) Calabi-Yau examples in which there are obstructions to parametrizing
all of the complex structure cohomology by polynomial deformations thus
requiring the analysis based on exact and spectral sequences. General arguments
ensure that the Landau-Ginzburg chiral ring copes with such a situation by
having a nontrivial contribution from twisted sectors. Beyond the expected
final agreement between the mathematical and physical approaches, we find a
direct correspondence between the analysis of each, thus giving a more complete
mathematical understanding of twisted sectors. Furthermore, this approach shows
that physical reasoning based upon spectral flow arguments for determining the
spectrum of Landau-Ginzburg orbifold models finds direct mathematical
justification in Koszul complex calculations and also that careful point- field
analysis continues to recover suprisingly much of the stringy features.
|
[
{
"created": "Fri, 14 Feb 1992 19:57:08 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"~Berglund",
"P.",
""
],
[
"~Greene",
"B. R.",
""
],
[
"~Hübsch",
"T.",
""
]
] |
We consider superstring compactifications where both the classical description, in terms of a Calabi-Yau manifold, and also the quantum theory is known in terms of a Landau-Ginzburg orbifold model. In particular, we study (smooth) Calabi-Yau examples in which there are obstructions to parametrizing all of the complex structure cohomology by polynomial deformations thus requiring the analysis based on exact and spectral sequences. General arguments ensure that the Landau-Ginzburg chiral ring copes with such a situation by having a nontrivial contribution from twisted sectors. Beyond the expected final agreement between the mathematical and physical approaches, we find a direct correspondence between the analysis of each, thus giving a more complete mathematical understanding of twisted sectors. Furthermore, this approach shows that physical reasoning based upon spectral flow arguments for determining the spectrum of Landau-Ginzburg orbifold models finds direct mathematical justification in Koszul complex calculations and also that careful point- field analysis continues to recover suprisingly much of the stringy features.
|
1009.3459
|
Igor Bandos A.
|
Igor A. Bandos
|
Multiple M0-brane system in an arbitrary eleven dimensional supergravity
background
|
RevTeX4, 20 pages, no figures. V2: misprints corrected, minor
changes, published in Phys. Rev. D82, 105030 (2010)). V3. Dec. 2011 :
misprints in coeffs of Eqs.(5.10) corrected
|
Phys.Rev.D82:105030,2010
|
10.1103/PhysRevD.82.105030
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The equations of motion of multiple M0{brane (multiple M-wave or mM0) system
in an arbitrary D = 11 supergravity superspace, which generalize the Matrix
model equations for the case of inter- action with a generic 11D supergravity
background, are obtained in the frame of superembedding approach. We also
derive the BPS equations for supersymmetric bosonic solutions of these mM0
equations and show that the set of 1/2 BPS solutions contain a fuzzy sphere
modeling M2 brane as well as that the Nahm equation appears as a particular
case of the 1/4 BPS equations.
|
[
{
"created": "Fri, 17 Sep 2010 15:49:52 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2010 16:42:50 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Mar 2012 11:41:21 GMT",
"version": "v3"
}
] |
2012-03-19
|
[
[
"Bandos",
"Igor A.",
""
]
] |
The equations of motion of multiple M0{brane (multiple M-wave or mM0) system in an arbitrary D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter- action with a generic 11D supergravity background, are obtained in the frame of superembedding approach. We also derive the BPS equations for supersymmetric bosonic solutions of these mM0 equations and show that the set of 1/2 BPS solutions contain a fuzzy sphere modeling M2 brane as well as that the Nahm equation appears as a particular case of the 1/4 BPS equations.
|
2104.08520
|
Alexey Loginov
|
A. Yu. Loginov
|
Fermion scattering on topological solitons in the nonlinear $O(3)$
$\sigma$-model
|
20 pages, 9 figures
|
Phys. Rev. D 104, 045011 (2021)
|
10.1103/PhysRevD.104.045011
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The scattering of Dirac fermions in the background fields of topological
solitons of the $(2+1)$-dimensional nonlinear $O(3)$ $\sigma$-model is studied
using both analytical and numerical methods. General formulae describing
fermion scattering are obtained and the symmetry properties of the partial
scattering amplitudes and elements of the $S$-matrix are determined. Within the
framework of the Born approximation, the scattering amplitudes, differential
cross-sections, and total cross-sections of fermion-soliton scattering are
obtained in analytical forms, and their symmetry properties and asymptotic
behavior are investigated. The dependences of the first several partial
elements of the $S$-matrix on the momentum of the fermion are obtained using
numerical methods, and some properties of these dependences are ascertained and
discussed.
|
[
{
"created": "Sat, 17 Apr 2021 11:57:43 GMT",
"version": "v1"
}
] |
2021-08-25
|
[
[
"Loginov",
"A. Yu.",
""
]
] |
The scattering of Dirac fermions in the background fields of topological solitons of the $(2+1)$-dimensional nonlinear $O(3)$ $\sigma$-model is studied using both analytical and numerical methods. General formulae describing fermion scattering are obtained and the symmetry properties of the partial scattering amplitudes and elements of the $S$-matrix are determined. Within the framework of the Born approximation, the scattering amplitudes, differential cross-sections, and total cross-sections of fermion-soliton scattering are obtained in analytical forms, and their symmetry properties and asymptotic behavior are investigated. The dependences of the first several partial elements of the $S$-matrix on the momentum of the fermion are obtained using numerical methods, and some properties of these dependences are ascertained and discussed.
|
hep-th/0607142
|
Kirsten Vogeler
|
Kirsten Vogeler, Michael Flohr
|
Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms
|
11 + 2 pages, no figures, shortened, to be published in jmp
|
J.Math.Phys.48:083505,2007
|
10.1063/1.2759443
| null |
hep-th
| null |
We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with
the Weierstrass curve $\mathbbm{C}/L \ni z \mapsto (1,\wp(z),\wp(z)')$ and
thereby obtain explicitely a modular form from which the moduli space parameter
$u$ and lattice parameters $a$, $a_D$ can be derived in terms of modular
respectively theta functions. We further discuss its relationship with the
$c=-2$ triplet model conformal field theory.
|
[
{
"created": "Thu, 20 Jul 2006 11:08:28 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2007 13:30:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Vogeler",
"Kirsten",
""
],
[
"Flohr",
"Michael",
""
]
] |
We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with the Weierstrass curve $\mathbbm{C}/L \ni z \mapsto (1,\wp(z),\wp(z)')$ and thereby obtain explicitely a modular form from which the moduli space parameter $u$ and lattice parameters $a$, $a_D$ can be derived in terms of modular respectively theta functions. We further discuss its relationship with the $c=-2$ triplet model conformal field theory.
|
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