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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0310104
|
Toby Wiseman
|
Hideaki Kudoh, Toby Wiseman
|
Properties of Kaluza-Klein black holes
|
33 pages, 13 colour figures; v2 minor corrections and some figures
beautified
|
Prog.Theor.Phys. 111 (2004) 475-507
|
10.1143/PTP.111.475
| null |
hep-th gr-qc
| null |
We detail numerical methods to compute the geometry of static vacuum black
holes in 6 dimensional gravity compactified on a circle. We calculate
properties of these Kaluza-Klein black holes for varying mass, while keeping
the asymptotic compactification radius fixed. For increasing mass the horizon
deforms to a prolate ellipsoid, and the geometry near the horizon and axis
decompactifies. We are able to find solutions with horizon radii approximately
equal to the asymptotic compactification radius. Having chosen 6-dimensions, we
may compare these solutions to the non-uniform strings compactified on the same
radius of circle found in previous numerical work. We find the black holes
achieve larger masses and horizon volumes than the most non-uniform strings.
This sheds doubt on whether these solution branches can merge via a topology
changing solution. Further work is required to resolve whether there is a
maximum mass for the black holes, or whether the mass can become arbitrarily
large.
|
[
{
"created": "Fri, 10 Oct 2003 19:02:34 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Nov 2003 20:05:06 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Kudoh",
"Hideaki",
""
],
[
"Wiseman",
"Toby",
""
]
] |
We detail numerical methods to compute the geometry of static vacuum black holes in 6 dimensional gravity compactified on a circle. We calculate properties of these Kaluza-Klein black holes for varying mass, while keeping the asymptotic compactification radius fixed. For increasing mass the horizon deforms to a prolate ellipsoid, and the geometry near the horizon and axis decompactifies. We are able to find solutions with horizon radii approximately equal to the asymptotic compactification radius. Having chosen 6-dimensions, we may compare these solutions to the non-uniform strings compactified on the same radius of circle found in previous numerical work. We find the black holes achieve larger masses and horizon volumes than the most non-uniform strings. This sheds doubt on whether these solution branches can merge via a topology changing solution. Further work is required to resolve whether there is a maximum mass for the black holes, or whether the mass can become arbitrarily large.
|
0803.2980
|
Bruno Carneiro da Cunha
|
Bruno Carneiro da Cunha
|
A Note on Tachyon Moduli and Closed Strings
|
PDFLaTeX, 17 pages, 2 figures; Section 2 rewritten, several fixes
throughout the text to improve clarity
|
Phys.Rev.D78:024028,2008
|
10.1103/PhysRevD.78.024028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The collective behavior of the SL(2,R) covariant brane states of non-critical
c=1 string theory found in a previous work, is studied in the Fermi liquid
approximation. It is found that such states mimick the coset WZW model, whereas
only by further restrictions one recovers the double-scaling limit which was
purported to be equivalent to closed string models. Another limit is proposed,
inspired by the tachyon condensation ideas, where the spectrum is the same of
two-dimensional string theory. We close by noting some strange connections
between vacuum states of the theory in their different interpretations.
|
[
{
"created": "Thu, 20 Mar 2008 12:20:18 GMT",
"version": "v1"
},
{
"created": "Tue, 27 May 2008 13:56:30 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"da Cunha",
"Bruno Carneiro",
""
]
] |
The collective behavior of the SL(2,R) covariant brane states of non-critical c=1 string theory found in a previous work, is studied in the Fermi liquid approximation. It is found that such states mimick the coset WZW model, whereas only by further restrictions one recovers the double-scaling limit which was purported to be equivalent to closed string models. Another limit is proposed, inspired by the tachyon condensation ideas, where the spectrum is the same of two-dimensional string theory. We close by noting some strange connections between vacuum states of the theory in their different interpretations.
|
1009.0992
|
Lorenzo Battarra
|
Lorenzo Battarra and Thomas Hertog
|
Particle Production near an AdS Crunch
|
20 pages, 6 figures
|
JHEP 1012:017,2010
|
10.1007/JHEP12(2010)017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically study the dual field theory evolution of five-dimensional
asymptotically anti-de Sitter solutions of supergravity that develop
cosmological singularities. The dual theory is an unstable deformation of the N
= 4 gauge theory on R $\times$ S3, and the big crunch singularity in the bulk
occurs when a boundary scalar field runs to infinity. Consistent quantum
evolution requires one imposes boundary conditions at infinity. Modeling these
by a steep regularization of the scalar potential, we find that when an
initially nearly homogeneous wavepacket rolls down the potential, most of the
potential energy of the initial configuration is converted into gradient energy
during the first oscillation of the field. This indicates there is no
transition from a big crunch to a big bang in the bulk for dual boundary
conditions of this kind.
|
[
{
"created": "Mon, 6 Sep 2010 08:41:35 GMT",
"version": "v1"
}
] |
2010-12-09
|
[
[
"Battarra",
"Lorenzo",
""
],
[
"Hertog",
"Thomas",
""
]
] |
We numerically study the dual field theory evolution of five-dimensional asymptotically anti-de Sitter solutions of supergravity that develop cosmological singularities. The dual theory is an unstable deformation of the N = 4 gauge theory on R $\times$ S3, and the big crunch singularity in the bulk occurs when a boundary scalar field runs to infinity. Consistent quantum evolution requires one imposes boundary conditions at infinity. Modeling these by a steep regularization of the scalar potential, we find that when an initially nearly homogeneous wavepacket rolls down the potential, most of the potential energy of the initial configuration is converted into gradient energy during the first oscillation of the field. This indicates there is no transition from a big crunch to a big bang in the bulk for dual boundary conditions of this kind.
|
2103.01466
|
Yu Nakayama
|
Tsubasa Yuki and Yu Nakayama
|
On an alternative quantization of R-NS strings
|
19 pages, based on the master's thesis of the first author originally
in Japanese. Edited and translated by the second author
| null |
10.1142/S0217732321300160
|
RUP-21-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate an alternative quantization of R-NS string theory. In the
alternative quantization, we define the distinct vacuum for the left-moving
mode and the right-moving mode by exchanging the role of creation operators and
annihilation operators in the left-moving sector. The resulting string theory
has only a finite number of propagating degrees of freedom. We show that an
appropriate choice of the GSO projection makes the theory tachyon free. The
spectrum coincides with the massless sector of type IIA or type IIB superstring
theory without any massive excitations.
|
[
{
"created": "Tue, 2 Mar 2021 04:36:42 GMT",
"version": "v1"
}
] |
2021-06-30
|
[
[
"Yuki",
"Tsubasa",
""
],
[
"Nakayama",
"Yu",
""
]
] |
We investigate an alternative quantization of R-NS string theory. In the alternative quantization, we define the distinct vacuum for the left-moving mode and the right-moving mode by exchanging the role of creation operators and annihilation operators in the left-moving sector. The resulting string theory has only a finite number of propagating degrees of freedom. We show that an appropriate choice of the GSO projection makes the theory tachyon free. The spectrum coincides with the massless sector of type IIA or type IIB superstring theory without any massive excitations.
|
1010.3429
|
Bin Liu
|
Bin Liu, Yun-Chuan Dai, Xian-Ru Hu and Jian-Bo Deng
|
The Friedmann equation in modified entropy-area relation from entropy
force
|
Mod. Phys. Lett. A26, 489-500 (2011)
|
Mod.Phys.Lett.A26:489-500,2011
|
10.1142/S021773231103492X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to the formal holographic principle, a modification to the
assumption of holographic principle in Verlinder's investigation of entropy
force is obtained. A more precise relation between entropy and area in the
holographic system is proposed. With the entropy corrections to the
area-relation, we derivate Newton's laws and Einstein equation with a static
spherically symmetric holographic screen. Furthermore we derived the correction
terms to the modified Friedmann equation of the FRW universe starting from the
holographic principle and the Debye model.
|
[
{
"created": "Sun, 17 Oct 2010 17:27:13 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Oct 2010 18:04:36 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Oct 2010 16:22:12 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Dec 2010 16:25:55 GMT",
"version": "v4"
},
{
"created": "Thu, 16 Dec 2010 14:00:59 GMT",
"version": "v5"
},
{
"created": "Mon, 28 Feb 2011 15:59:06 GMT",
"version": "v6"
}
] |
2011-03-15
|
[
[
"Liu",
"Bin",
""
],
[
"Dai",
"Yun-Chuan",
""
],
[
"Hu",
"Xian-Ru",
""
],
[
"Deng",
"Jian-Bo",
""
]
] |
According to the formal holographic principle, a modification to the assumption of holographic principle in Verlinder's investigation of entropy force is obtained. A more precise relation between entropy and area in the holographic system is proposed. With the entropy corrections to the area-relation, we derivate Newton's laws and Einstein equation with a static spherically symmetric holographic screen. Furthermore we derived the correction terms to the modified Friedmann equation of the FRW universe starting from the holographic principle and the Debye model.
|
0806.1477
|
Tomas Ortin
|
Mechthild Huebscher, Patrick Meessen, Tomas Ortin and Silvia Vaula
|
N=2 Einstein-Yang-Mills's BPS solutions
|
latex2e, 53 pages, 2 figures
|
JHEP 0809:099,2008
|
10.1088/1126-6708/2008/09/099
|
IFT-UAM/CSIC-08-32
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find the general form of all the supersymmetric configurations and
solutions of N=2,d=4 Einstein-Yang-Mills theories. In the timelike case, which
we study in great detail, giving many examples, the solutions to the full
supergravity equations can be constructed from known flat spacetime solutions
of the Bogomol'nyi equations. This allows the regular supersymmetric embedding
in supergravity of regular monopole solutions ('t Hooft-Poyakov's, Weinberg's,
Wilkinson and Bais's) but also embeddings of irregular solutions to the
Bogomol'nyi equations which turn out to be regular black holes with different
forms of non-Abelian hair once the non-triviality of the spacetime metric is
taken into account. The attractor mechanism is realized in a gauge-covariant
way. In the null case we determine the general equations that supersymmetric
configurations and solutions must satisfy but we do not find relevant new
supersymmetric solutions.
|
[
{
"created": "Mon, 9 Jun 2008 16:25:39 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2008 20:32:59 GMT",
"version": "v2"
}
] |
2009-12-10
|
[
[
"Huebscher",
"Mechthild",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Vaula",
"Silvia",
""
]
] |
We find the general form of all the supersymmetric configurations and solutions of N=2,d=4 Einstein-Yang-Mills theories. In the timelike case, which we study in great detail, giving many examples, the solutions to the full supergravity equations can be constructed from known flat spacetime solutions of the Bogomol'nyi equations. This allows the regular supersymmetric embedding in supergravity of regular monopole solutions ('t Hooft-Poyakov's, Weinberg's, Wilkinson and Bais's) but also embeddings of irregular solutions to the Bogomol'nyi equations which turn out to be regular black holes with different forms of non-Abelian hair once the non-triviality of the spacetime metric is taken into account. The attractor mechanism is realized in a gauge-covariant way. In the null case we determine the general equations that supersymmetric configurations and solutions must satisfy but we do not find relevant new supersymmetric solutions.
|
0710.2074
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld
|
Noncommutative Solitons
|
16 pages; talk given at the Third Mexican Meeting on Mathematical and
Experimental Physics at El Colegio Nacional, Mexico City, 10-14 September
2007
|
AIPConf.Proc.977:37-51,2008
|
10.1063/1.2902796
|
CERN-PH-TH/2007-184, ITP-UH-22/07
|
hep-th
| null |
Solitonic objects play a central role in gauge and string theory (as, e.g.,
monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a
noncommutative deformation of the low-energy effective field theory, which
allows for new types of solitonic solutions. I present the construction, moduli
spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1
dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is
gauge-fixed to an integrable chiral sigma model (the Ward model).
Noncommutative solitons for various 1+1 dimensional integrable systems (such as
sine-Gordon) easily follow by dimensional and algebraic reduction.
Supersymmetric extensions exist as well and are related to twistor string
theory.
|
[
{
"created": "Wed, 10 Oct 2007 17:33:20 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Lechtenfeld",
"Olaf",
""
]
] |
Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for new types of solitonic solutions. I present the construction, moduli spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1 dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is gauge-fixed to an integrable chiral sigma model (the Ward model). Noncommutative solitons for various 1+1 dimensional integrable systems (such as sine-Gordon) easily follow by dimensional and algebraic reduction. Supersymmetric extensions exist as well and are related to twistor string theory.
|
hep-th/9804137
|
Radhika Vathsan
|
Radhika Vathsan
|
Reduction of Anyons to One Dimension and Calogero-Sutherland-type Models
|
12 pages, no Figures, to appear in IJMP A
|
Int.J.Mod.Phys.A13:4123-4132,1998
|
10.1142/S0217751X98001931
|
imsc/97/04/15
|
hep-th cond-mat
| null |
The two-dimensional anyon system, when reduced to one dimension, yields
models related to the Calogero-Sutherland model. One such reduction leads to a
new model with a class of exact solutions. This model is one of a family of
models obtained upon dimensional reduction of spherically symmetric models in
arbitrary dimensions.
|
[
{
"created": "Tue, 21 Apr 1998 07:39:09 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Vathsan",
"Radhika",
""
]
] |
The two-dimensional anyon system, when reduced to one dimension, yields models related to the Calogero-Sutherland model. One such reduction leads to a new model with a class of exact solutions. This model is one of a family of models obtained upon dimensional reduction of spherically symmetric models in arbitrary dimensions.
|
1601.05611
|
Daniel Kabat
|
Daniel Kabat, Gilad Lifschytz
|
Asymmetric interiors for small black holes
|
48 pages, LaTeX, 8 figures. v2: minor edits, additional reference.
v3: version to appear in JHEP
| null |
10.1007/JHEP08(2016)097
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the representation of infalling observers and bulk fields in the
CFT as a way to understand the black hole interior in AdS. We first discuss
properties of CFT states which are dual to black holes. We then show that in
the presence of a Killing horizon bulk fields can be decomposed into pieces we
call ingoing and outgoing. The ingoing field admits a simple operator
representation in the CFT, even inside a small black hole at late times, which
leads to a simple CFT description of infalling geodesics. This means classical
infalling observers will experience the classical geometry in the interior. The
outgoing piece of the field is more subtle. In an eternal two-sided geometry it
can be represented as an operator on the left CFT. In a stable one-sided
geometry it can be described using entanglement via the PR construction. But in
an evaporating black hole trans-horizon entanglement breaks down at the Page
time, which means that for old black holes the PR construction fails and the
outgoing field does not see local geometry. This picture of the interior allows
the CFT to reconcile unitary Hawking evaporation with the classical experience
of infalling observers.
|
[
{
"created": "Thu, 21 Jan 2016 12:44:15 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Feb 2016 18:35:55 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Aug 2016 11:31:42 GMT",
"version": "v3"
}
] |
2016-09-21
|
[
[
"Kabat",
"Daniel",
""
],
[
"Lifschytz",
"Gilad",
""
]
] |
We develop the representation of infalling observers and bulk fields in the CFT as a way to understand the black hole interior in AdS. We first discuss properties of CFT states which are dual to black holes. We then show that in the presence of a Killing horizon bulk fields can be decomposed into pieces we call ingoing and outgoing. The ingoing field admits a simple operator representation in the CFT, even inside a small black hole at late times, which leads to a simple CFT description of infalling geodesics. This means classical infalling observers will experience the classical geometry in the interior. The outgoing piece of the field is more subtle. In an eternal two-sided geometry it can be represented as an operator on the left CFT. In a stable one-sided geometry it can be described using entanglement via the PR construction. But in an evaporating black hole trans-horizon entanglement breaks down at the Page time, which means that for old black holes the PR construction fails and the outgoing field does not see local geometry. This picture of the interior allows the CFT to reconcile unitary Hawking evaporation with the classical experience of infalling observers.
|
hep-th/0310236
|
Keiichi Akama
|
Keiichi Akama and Takashi Hattori
|
Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom
-- with scalar matter
|
11 pages, 3 figures
| null | null |
SMC-PHYS-170
|
hep-th
| null |
We derive and solve the compositeness condition for the SU(N_c) gauge boson
coupling with N_s scalar fields at the next-to-leading order in 1/N_s and the
leading order in ln(\Lambda^2) (\Lambda is the compositeness scale). It turns
out that the argument of gauge-boson compositeness (with a large \Lambda) is
successful only when N_s/N_c>22, in which the asymptotic freedom fails, as is
in the previously investigated case with fermionic matter.
|
[
{
"created": "Sat, 25 Oct 2003 10:52:22 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2003 03:31:54 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Apr 2004 06:25:00 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Akama",
"Keiichi",
""
],
[
"Hattori",
"Takashi",
""
]
] |
We derive and solve the compositeness condition for the SU(N_c) gauge boson coupling with N_s scalar fields at the next-to-leading order in 1/N_s and the leading order in ln(\Lambda^2) (\Lambda is the compositeness scale). It turns out that the argument of gauge-boson compositeness (with a large \Lambda) is successful only when N_s/N_c>22, in which the asymptotic freedom fails, as is in the previously investigated case with fermionic matter.
|
hep-th/0001074
|
Ryu Sasaki
|
R. Caseiro (Coimbra), J.-P. Francoise (Paris VI) and R. Sasaki (Kyoto)
|
Algebraic Linearization of Dynamics of Calogero Type for any Coxeter
Group
|
LaTeX2e, 13 pages, no figures
|
J.Math.Phys. 41 (2000) 4679-4686
|
10.1063/1.533370
|
YITP-99-73
|
hep-th cond-mat math-ph math.MP nlin.SI
| null |
Calogero-Moser systems can be generalized for any root system (including the
non-crystallographic cases). The algebraic linearization of the generalized
Calogero-Moser systems and of their quadratic (resp. quartic) perturbations are
discussed.
|
[
{
"created": "Wed, 12 Jan 2000 06:27:44 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"Caseiro",
"R.",
"",
"Coimbra"
],
[
"Francoise",
"J. -P.",
"",
"Paris VI"
],
[
"Sasaki",
"R.",
"",
"Kyoto"
]
] |
Calogero-Moser systems can be generalized for any root system (including the non-crystallographic cases). The algebraic linearization of the generalized Calogero-Moser systems and of their quadratic (resp. quartic) perturbations are discussed.
|
0902.0498
|
Yu-Xiao Liu
|
Shao-Wen Wei, Yu-Xiao Liu, Li-Jie Zhang, Ji-Rong Ren
|
Explicit field realizations of W algebras
|
15 pages, no figures, a reference corrected; v2: 8 pages, two
columns, some mistakes are corrected, to appear in PRD
|
Phys.Rev.D79:126011,2009
|
10.1103/PhysRevD.79.126011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The fact that certain non-linear $W_{2,s}$ algebras can be linearized by the
inclusion of a spin-1 current can provide a simple way to realize $W_{2,s}$
algebras from linear $W_{1,2,s}$ algebras. In this paper, we first construct
the explicit field realizations of linear $W_{1,2,s}$ algebras with
double-scalar and double-spinor, respectively. Then, after a change of basis,
the realizations of $W_{2,s}$ algebras are presented. The results show that all
these realizations are Romans-type realizations.
|
[
{
"created": "Tue, 3 Feb 2009 12:55:25 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Feb 2009 12:36:29 GMT",
"version": "v2"
},
{
"created": "Sat, 30 May 2009 13:47:27 GMT",
"version": "v3"
}
] |
2009-07-06
|
[
[
"Wei",
"Shao-Wen",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhang",
"Li-Jie",
""
],
[
"Ren",
"Ji-Rong",
""
]
] |
The fact that certain non-linear $W_{2,s}$ algebras can be linearized by the inclusion of a spin-1 current can provide a simple way to realize $W_{2,s}$ algebras from linear $W_{1,2,s}$ algebras. In this paper, we first construct the explicit field realizations of linear $W_{1,2,s}$ algebras with double-scalar and double-spinor, respectively. Then, after a change of basis, the realizations of $W_{2,s}$ algebras are presented. The results show that all these realizations are Romans-type realizations.
|
hep-th/9911166
|
Zupnik B. M.
|
B.M. Zupnik
|
Goldstone-type superfields and partial spontaneous breaking of D=3, N=2
supersymmetry
|
LATEX file, 8 pages
|
Phys.Lett. B461 (1999) 203-208
|
10.1016/S0370-2693(99)00855-2
| null |
hep-th
| null |
We consider the modified superfield constraints with constant terms for the
D=3, N=2 Goldstone-Maxwell gauge multiplet which contains Goldstone fermions,
real scalar and vector fields. The partial spontaneous breaking N=2 to N=1 is
possible for the non-minimal self-interaction of this modified gauge superfield
including the linear Fayet-Iliopoulos term. The dual description of the partial
breaking in the model of the self-interacting Goldstone chiral superfield is
also discussed.
|
[
{
"created": "Mon, 22 Nov 1999 10:53:25 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zupnik",
"B. M.",
""
]
] |
We consider the modified superfield constraints with constant terms for the D=3, N=2 Goldstone-Maxwell gauge multiplet which contains Goldstone fermions, real scalar and vector fields. The partial spontaneous breaking N=2 to N=1 is possible for the non-minimal self-interaction of this modified gauge superfield including the linear Fayet-Iliopoulos term. The dual description of the partial breaking in the model of the self-interacting Goldstone chiral superfield is also discussed.
|
0904.0587
|
Ahmed Jellal
|
Ahmed Jellal, Abdulaziz D. Alhaidari, Hocine Bahlouli
|
Confined Dirac Fermions in a Constant Magnetic Field
|
15 pages, 3 tables
|
Phys.Rev.A80:012109,2009
|
10.1103/PhysRevA.80.012109
| null |
hep-th cond-mat.mes-hall math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain an exact solution of the Dirac equation in (2+1)-dimensions in the
presence of a constant magnetic field normal to the plane together with a
two-dimensional Dirac-oscillator potential coupling. The solution space
consists of a positive and negative energy solution, each of which splits into
two disconnected subspaces depending on the sign of an azimuthal quantum
number, k = 0, \pm 1, \pm 2,... and whether the cyclotron frequency is larger
or smaller than the oscillator frequency. The spinor wavefunction is written in
terms of the associated Laguerre polynomials. For negative k, the relativistic
energy spectrum is infinitely degenerate due to the fact that it is independent
of k. We compare our results with already published work and point out the
relevance of these findings to a systematic formulation of the relativistic
quantum Hall effect in a confining potential.
|
[
{
"created": "Fri, 3 Apr 2009 14:40:22 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Jellal",
"Ahmed",
""
],
[
"Alhaidari",
"Abdulaziz D.",
""
],
[
"Bahlouli",
"Hocine",
""
]
] |
We obtain an exact solution of the Dirac equation in (2+1)-dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscillator potential coupling. The solution space consists of a positive and negative energy solution, each of which splits into two disconnected subspaces depending on the sign of an azimuthal quantum number, k = 0, \pm 1, \pm 2,... and whether the cyclotron frequency is larger or smaller than the oscillator frequency. The spinor wavefunction is written in terms of the associated Laguerre polynomials. For negative k, the relativistic energy spectrum is infinitely degenerate due to the fact that it is independent of k. We compare our results with already published work and point out the relevance of these findings to a systematic formulation of the relativistic quantum Hall effect in a confining potential.
|
hep-th/9905105
|
Ragoucy E.
|
M. Mintchev, E. Ragoucy, P. Sorba and Ph Zaugg
|
Yangian symmetry in the Non Linear Schrodinger hierarchy
|
LaTeX2e, 23 pages
|
J.Phys.A32:5885-5900,1999
|
10.1088/0305-4470/32/32/304
|
LAPTH-733/99, IFUP-TH 24/99, CRM-2608
|
hep-th math.QA nlin.SI solv-int
| null |
We study the Yangian symmetry of the multicomponent Quantum Nonlinear
Schrodinger hierarchy in the framework of the Quantum Inverse Scattering
Method. We give an explicit realization of the Yangian generators in terms of
the deformed oscillators algebra which naturally occurs in this framework.
|
[
{
"created": "Fri, 14 May 1999 13:06:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Mintchev",
"M.",
""
],
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
],
[
"Zaugg",
"Ph",
""
]
] |
We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrodinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework.
|
hep-th/0101165
|
Christian Rupp
|
Christian Rupp, Klaus Sibold
|
Supersymmetry Transformation of Quantum Fields II: Supersymmetric
Yang-Mills Theory
|
11 pages
|
Nucl.Phys. B612 (2001) 313-339
|
10.1016/S0550-3213(01)00329-7
| null |
hep-th
| null |
We study the transformation law of quantum fields in super Yang-Mills theory
quantized in the Wess-Zumino gauge. It can be derived from a local version of
generalized Slavnov-Taylor identities for general Green functions. Under
suitable normalization conditions the transformations are local. Within the
vector multiplet anomalous dimensions become equal. The breaking of susy shows
up in Fock but not in Hilbert space and is not reflected in the transformation
law for the fields.
|
[
{
"created": "Thu, 25 Jan 2001 11:31:54 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Rupp",
"Christian",
""
],
[
"Sibold",
"Klaus",
""
]
] |
We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable normalization conditions the transformations are local. Within the vector multiplet anomalous dimensions become equal. The breaking of susy shows up in Fock but not in Hilbert space and is not reflected in the transformation law for the fields.
|
hep-th/0006222
|
Adel Bilal
|
I. Bakas, A. Bilal, J.-P. Derendinger and K. Sfetsos
|
BPS Solutions and New Phases of Finite-Temperature Strings
|
47 pages, 3 eps figures, Latex, version to be published in Nucl.
Phys. B, one refernce added, minor corrections
|
Nucl.Phys.B593:31-75,2001
|
10.1016/S0550-3213(00)00628-3
|
NEIP-00-014
|
hep-th
| null |
All high-temperature phases of the known N=4 superstrings in five dimensions
can be described by the universal thermal potential of an effective
four-dimensional supergravity. This theory, in addition to three moduli s, t,
u, contains non-trivial winding modes that become massless in certain regions
of the thermal moduli space, triggering the instabilities at the Hagedorn
temperature. In this context, we look for exact domain wall solutions of first
order BPS equations. These solutions preserve half of the supersymmetries, in
contrast to the usual finite-temperature weak-coupling approximation, and as
such may constitute a new phase of finite-temperature superstrings. We present
exact solutions for the type-IIA and type-IIB theories and for a self-dual
hybrid type-II theory. While for the heterotic case the general solution cannot
be given in closed form, we still present a complete picture and a detailed
analysis of the behaviour around the weak and strong coupling limits and around
certain critical points. In all cases these BPS solutions have no instabilities
at any temperature. Finally, we address the physical meaning of the resulting
geometries within the contexts of supergravity and string theory.
|
[
{
"created": "Wed, 28 Jun 2000 16:28:27 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2000 17:57:53 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bakas",
"I.",
""
],
[
"Bilal",
"A.",
""
],
[
"Derendinger",
"J. -P.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
All high-temperature phases of the known N=4 superstrings in five dimensions can be described by the universal thermal potential of an effective four-dimensional supergravity. This theory, in addition to three moduli s, t, u, contains non-trivial winding modes that become massless in certain regions of the thermal moduli space, triggering the instabilities at the Hagedorn temperature. In this context, we look for exact domain wall solutions of first order BPS equations. These solutions preserve half of the supersymmetries, in contrast to the usual finite-temperature weak-coupling approximation, and as such may constitute a new phase of finite-temperature superstrings. We present exact solutions for the type-IIA and type-IIB theories and for a self-dual hybrid type-II theory. While for the heterotic case the general solution cannot be given in closed form, we still present a complete picture and a detailed analysis of the behaviour around the weak and strong coupling limits and around certain critical points. In all cases these BPS solutions have no instabilities at any temperature. Finally, we address the physical meaning of the resulting geometries within the contexts of supergravity and string theory.
|
1004.0718
|
Stefan Zohren
|
J. Ambjorn, R. Loll, W. Westra and S. Zohren
|
Causal random geometry from stochastic quantization
|
5 pages, 2 figures, presented at XI Latin American Workshop on
Nonlinear Phenomena, Buzios, 2009, accepted for publication in Journal of
Physics: Conference Proceedings
|
J.Phys.Conf.Ser.246:012028,2010
|
10.1088/1742-6596/246/1/012028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short note we review a recently found formulation of two-dimensional
causal quantum gravity defined through Causal Dynamical Triangulations and
stochastic quantization. This procedure enables one to extract the
nonperturbative quantum Hamiltonian of the random surface model including the
sum over topologies. Interestingly, the generally fictitious stochastic time
corresponds to proper time on the geometries.
|
[
{
"created": "Mon, 5 Apr 2010 21:08:21 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Ambjorn",
"J.",
""
],
[
"Loll",
"R.",
""
],
[
"Westra",
"W.",
""
],
[
"Zohren",
"S.",
""
]
] |
In this short note we review a recently found formulation of two-dimensional causal quantum gravity defined through Causal Dynamical Triangulations and stochastic quantization. This procedure enables one to extract the nonperturbative quantum Hamiltonian of the random surface model including the sum over topologies. Interestingly, the generally fictitious stochastic time corresponds to proper time on the geometries.
|
1802.04281
|
Tim Morris Prof
|
Tim R. Morris
|
Renormalization group properties of the conformal sector: towards
perturbatively renormalizable quantum gravity
|
52 pages, 4 figures; fixed typos; improved explanation of the sign of
V, and the use of Sturm-Liouville theory. To be publ in JHEP
|
JHEP 08 (2018) 024
|
10.1007/JHEP08(2018)024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Wilsonian renormalization group (RG) requires Euclidean signature. The
conformal factor of the metric then has a wrong-sign kinetic term, which has a
profound effect on its RG properties. Generically for the conformal sector,
complete flows exist only in the reverse direction (i.e. from the infrared to
the ultraviolet). The Gaussian fixed point supports infinite sequences of
composite eigenoperators of increasing infrared relevancy (increasingly
negative mass dimension), which are orthonormal and complete for bare
interactions that are square integrable under the appropriate measure. These
eigenoperators are non-perturbative in $\hbar$ and evanescent. For
$\mathbb{R}^4$ spacetime, each renormalised physical operator exists but only
has support at vanishing field amplitude. In the generic case of infinitely
many non-vanishing couplings, if a complete RG flow exists, it is characterised
in the infrared by a scale $\Lambda_\mathrm{p}>0$, beyond which the field
amplitude is exponentially suppressed. On other spacetimes, of length scale
$L$, the flow ceases to exist once a certain universal measure of inhomogeneity
exceeds $O(1)+2\pi L^2\Lambda^2_\mathrm{p}$. Importantly for cosmology, the
minimum size of the universe is thus tied to the degree of inhomogeneity, with
spacetimes of vanishing size being required to be almost homogeneous. We
initiate a study of this exotic quantum field theory at the interacting level,
and discuss what the full theory of quantum gravity should look like, one which
must thus be perturbatively renormalizable in Newton's constant but
non-perturbative in $\hbar$.
|
[
{
"created": "Mon, 12 Feb 2018 19:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 2018 11:19:34 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jul 2018 13:28:23 GMT",
"version": "v3"
}
] |
2018-08-10
|
[
[
"Morris",
"Tim R.",
""
]
] |
The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. Generically for the conformal sector, complete flows exist only in the reverse direction (i.e. from the infrared to the ultraviolet). The Gaussian fixed point supports infinite sequences of composite eigenoperators of increasing infrared relevancy (increasingly negative mass dimension), which are orthonormal and complete for bare interactions that are square integrable under the appropriate measure. These eigenoperators are non-perturbative in $\hbar$ and evanescent. For $\mathbb{R}^4$ spacetime, each renormalised physical operator exists but only has support at vanishing field amplitude. In the generic case of infinitely many non-vanishing couplings, if a complete RG flow exists, it is characterised in the infrared by a scale $\Lambda_\mathrm{p}>0$, beyond which the field amplitude is exponentially suppressed. On other spacetimes, of length scale $L$, the flow ceases to exist once a certain universal measure of inhomogeneity exceeds $O(1)+2\pi L^2\Lambda^2_\mathrm{p}$. Importantly for cosmology, the minimum size of the universe is thus tied to the degree of inhomogeneity, with spacetimes of vanishing size being required to be almost homogeneous. We initiate a study of this exotic quantum field theory at the interacting level, and discuss what the full theory of quantum gravity should look like, one which must thus be perturbatively renormalizable in Newton's constant but non-perturbative in $\hbar$.
|
1601.05457
|
Alexander Hetz
|
Alexander Hetz and Gonzalo A. Palma
|
Sound Speed of Primordial Fluctuations in Supergravity Inflation
|
6 pages, 2 figures; v2: references added, improved discussion; v3:
typos corrected, version published in PRL
|
Phys. Rev. Lett. 117, 101301 (2016)
|
10.1103/PhysRevLett.117.101301
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the realization of slow-roll inflation in $\mathcal N = 1$
supergravities where inflation is the result of the evolution of a single
chiral field. When there is only one flat direction in field space, it is
possible to derive a single-field effective field theory parametrized by the
sound speed $c_s$ at which curvature perturbations propagate during inflation.
The value of $c_s$ is determined by the rate of bend of the inflationary path
resulting from the shape of the $F$-term potential. We show that $c_s$ must
respect an inequality that involves the curvature tensor of the Kahler manifold
underlying supergravity, and the ratio $M/H$ between the mass $M$ of
fluctuations ortogonal to the inflationary path, and the Hubble expansion rate
$H$. This inequality provides a powerful link between observational constraints
on primordial non-Gaussianity and information about the $\mathcal N = 1$
supergravity responsible for inflation. In particular, the inequality does not
allow for suppressed values of $c_s$ (values smaller than $c_s \sim 0.4$)
unless (a) the ratio $M/H$ is of order 1 or smaller, and (b) the fluctuations
of mass $M$ affect the propagation of curvature perturbations by inducing on
them a nonlinear dispersion relation during horizon crossing. Therefore, if
large non-Gaussianity is observed, supergravity models of inflation would be
severely constrained.
|
[
{
"created": "Wed, 20 Jan 2016 22:06:54 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2016 22:23:44 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2016 17:57:20 GMT",
"version": "v3"
}
] |
2016-10-12
|
[
[
"Hetz",
"Alexander",
""
],
[
"Palma",
"Gonzalo A.",
""
]
] |
We study the realization of slow-roll inflation in $\mathcal N = 1$ supergravities where inflation is the result of the evolution of a single chiral field. When there is only one flat direction in field space, it is possible to derive a single-field effective field theory parametrized by the sound speed $c_s$ at which curvature perturbations propagate during inflation. The value of $c_s$ is determined by the rate of bend of the inflationary path resulting from the shape of the $F$-term potential. We show that $c_s$ must respect an inequality that involves the curvature tensor of the Kahler manifold underlying supergravity, and the ratio $M/H$ between the mass $M$ of fluctuations ortogonal to the inflationary path, and the Hubble expansion rate $H$. This inequality provides a powerful link between observational constraints on primordial non-Gaussianity and information about the $\mathcal N = 1$ supergravity responsible for inflation. In particular, the inequality does not allow for suppressed values of $c_s$ (values smaller than $c_s \sim 0.4$) unless (a) the ratio $M/H$ is of order 1 or smaller, and (b) the fluctuations of mass $M$ affect the propagation of curvature perturbations by inducing on them a nonlinear dispersion relation during horizon crossing. Therefore, if large non-Gaussianity is observed, supergravity models of inflation would be severely constrained.
|
hep-th/9512138
|
Rolf Schimmrigk
|
Bruce Hunt and Rolf Schimmrigk
|
Heterotic Gauge Structure of Type II K3 Fibrations
|
15 pages, 3 eps figures
|
Phys.Lett. B381 (1996) 427-436
|
10.1016/0370-2693(96)00575-8
|
NSF-ITP-95-158, BONN-TH-95-20
|
hep-th
| null |
We show that certain classes of K3 fibered Calabi-Yau manifolds derive from
orbifolds of global products of K3 surfaces and particular types of curves.
This observation explains why the gauge groups of the heterotic duals are
determined by the structure of a single K3 surface and provides the dual
heterotic picture of conifold transitions between K3 fibrations. Abstracting
our construction from the special case of K3 hypersurfaces to general K3
manifolds with an appropriate automorphism, we show how to construct Calabi-Yau
threefold duals for heterotic theories with arbitrary gauge groups. This
generalization reveals that the previous limit on the Euler number of
Calabi-Yau manifolds is an artifact of the restriction to the framework of
hypersurfaces.
|
[
{
"created": "Tue, 19 Dec 1995 07:50:59 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hunt",
"Bruce",
""
],
[
"Schimmrigk",
"Rolf",
""
]
] |
We show that certain classes of K3 fibered Calabi-Yau manifolds derive from orbifolds of global products of K3 surfaces and particular types of curves. This observation explains why the gauge groups of the heterotic duals are determined by the structure of a single K3 surface and provides the dual heterotic picture of conifold transitions between K3 fibrations. Abstracting our construction from the special case of K3 hypersurfaces to general K3 manifolds with an appropriate automorphism, we show how to construct Calabi-Yau threefold duals for heterotic theories with arbitrary gauge groups. This generalization reveals that the previous limit on the Euler number of Calabi-Yau manifolds is an artifact of the restriction to the framework of hypersurfaces.
|
hep-th/0601123
|
Peter Horvathy
|
P. A. Horvathy
|
The Biedenharn Approach to Relativistic Coulomb-type Problems
|
16 pages, 4 figures
|
Rev.Math.Phys.18:311-328,2006
|
10.1142/S0129055X06002656
| null |
hep-th
| null |
The approach developped by Biedeharn in the sixties for the relativistic
Coulomb problem is reviewed and applied to various physical problems.
|
[
{
"created": "Wed, 18 Jan 2006 13:19:42 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2006 11:18:58 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Horvathy",
"P. A.",
""
]
] |
The approach developped by Biedeharn in the sixties for the relativistic Coulomb problem is reviewed and applied to various physical problems.
|
0706.1618
|
Naoki Sasakura
|
Naoki Sasakura
|
The fluctuation spectra around a Gaussian classical solution of a tensor
model and the general relativity
|
29 pages, 13 figures
|
Int.J.Mod.Phys.A23:693-718,2008
|
10.1142/S0217751X08038536
|
YITP-07-32
|
hep-th gr-qc
| null |
Tensor models can be interpreted as theory of dynamical fuzzy spaces. In this
paper, I study numerically the fluctuation spectra around a Gaussian classical
solution of a tensor model, which represents a fuzzy flat space in arbitrary
dimensions. It is found that the momentum distribution of the low-lying
low-momentum spectra is in agreement with that of the metric tensor modulo the
general coordinate transformation in the general relativity at least in the
dimensions studied numerically, i.e. one to four dimensions. This result
suggests that the effective field theory around the solution is described in a
similar manner as the general relativity.
|
[
{
"created": "Tue, 12 Jun 2007 07:26:50 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Sasakura",
"Naoki",
""
]
] |
Tensor models can be interpreted as theory of dynamical fuzzy spaces. In this paper, I study numerically the fluctuation spectra around a Gaussian classical solution of a tensor model, which represents a fuzzy flat space in arbitrary dimensions. It is found that the momentum distribution of the low-lying low-momentum spectra is in agreement with that of the metric tensor modulo the general coordinate transformation in the general relativity at least in the dimensions studied numerically, i.e. one to four dimensions. This result suggests that the effective field theory around the solution is described in a similar manner as the general relativity.
|
hep-th/9712209
|
Dimitri Polyakov
|
Dimitri Polyakov
|
Brane-like States in Superstring Theory and the Dynamics of non-Abelian
Gauge Theories
|
16 pages, TeX
| null | null |
ROM2F-97/56
|
hep-th
| null |
We propose a string-theoretic ansatz describing the dynamics of SU(N)
Yang-Mills theories in the limit of large N in D=4. The construction uses in a
crucial way open-string vertex operators that describe non-perturbative brane
dynamics. According to our proposal, various gauge theories are described by
string theories with the same action, but with different measures in the
functional integral. The choice of measure defines the gauge group, as well as
the effective space-time dimension of the resulting gauge theory.
|
[
{
"created": "Mon, 22 Dec 1997 19:57:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Polyakov",
"Dimitri",
""
]
] |
We propose a string-theoretic ansatz describing the dynamics of SU(N) Yang-Mills theories in the limit of large N in D=4. The construction uses in a crucial way open-string vertex operators that describe non-perturbative brane dynamics. According to our proposal, various gauge theories are described by string theories with the same action, but with different measures in the functional integral. The choice of measure defines the gauge group, as well as the effective space-time dimension of the resulting gauge theory.
|
hep-th/0507081
|
Hael Collins
|
Hael Collins (University of Massachusetts, Amherst), R. Holman
(Carnegie Mellon University)
|
An effective theory of initial conditions in inflation
|
21 pages, 3 eps figures, uses RevTeX
| null | null |
UMHEP-461,CMU-HEP-05-07
|
hep-th astro-ph hep-ph
| null |
We examine the renormalization of an effective theory description of a
general initial state set in an isotropically expanding space-time, which is
done to understand how to include the effects of new physics in the calculation
of the cosmic microwave background power spectrum. The divergences that arise
in a perturbative treatment of the theory are of two forms: those associated
with the properties of a field propagating through the bulk of space-time,
which are unaffected by the choice of the initial state, and those that result
from summing over the short-distance structure of the initial state. We show
that the former have the same renormalization and produce the same subsequent
scale dependence as for the standard vacuum state, while the latter correspond
to divergences that are localized at precisely the initial time hypersurface on
which the state is defined. This class of divergences is therefore renormalized
by adding initial-boundary counterterms, which render all of the perturbative
corrections small and finite. Initial states that approach the standard vacuum
at short distances require, at worst, relevant or marginal boundary
counterterms. States that differ from the vacuum at distances below that at
which any new, potentially trans-Planckian, physics becomes important are
renormalized with irrelevant boundary counterterms.
|
[
{
"created": "Thu, 7 Jul 2005 20:00:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Collins",
"Hael",
"",
"University of Massachusetts, Amherst"
],
[
"Holman",
"R.",
"",
"Carnegie Mellon University"
]
] |
We examine the renormalization of an effective theory description of a general initial state set in an isotropically expanding space-time, which is done to understand how to include the effects of new physics in the calculation of the cosmic microwave background power spectrum. The divergences that arise in a perturbative treatment of the theory are of two forms: those associated with the properties of a field propagating through the bulk of space-time, which are unaffected by the choice of the initial state, and those that result from summing over the short-distance structure of the initial state. We show that the former have the same renormalization and produce the same subsequent scale dependence as for the standard vacuum state, while the latter correspond to divergences that are localized at precisely the initial time hypersurface on which the state is defined. This class of divergences is therefore renormalized by adding initial-boundary counterterms, which render all of the perturbative corrections small and finite. Initial states that approach the standard vacuum at short distances require, at worst, relevant or marginal boundary counterterms. States that differ from the vacuum at distances below that at which any new, potentially trans-Planckian, physics becomes important are renormalized with irrelevant boundary counterterms.
|
2212.08676
|
Matilda Delgado
|
Matilda Delgado, Miguel Montero, Cumrun Vafa
|
Black Holes as Probes of Moduli Space Geometry
|
14 pages + appendix + references
| null |
10.1007/JHEP04(2023)045
|
IFT-UAM/CSIC-22-151
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that supersymmetric BPS states can act as efficient finite energy
probes of the moduli space geometry thanks to the attractor mechanism. We focus
on 4d $\mathcal{N}=2$ compactifications and capture aspects of the effective
field theory near the attractor values in terms of physical quantities far away
in moduli space. Furthermore, we illustrate how the standard distance in moduli
space can be related asymptotically to the black hole mass. We also compute a
measure of the resolution with which BPS black holes of a given mass can
distinguish far away points in the moduli space. The black hole probes may lead
to a deeper understanding of the Swampland constraints on the geometry of the
moduli space.
|
[
{
"created": "Fri, 16 Dec 2022 19:00:19 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2023 17:40:24 GMT",
"version": "v2"
},
{
"created": "Mon, 29 May 2023 07:54:51 GMT",
"version": "v3"
}
] |
2023-05-30
|
[
[
"Delgado",
"Matilda",
""
],
[
"Montero",
"Miguel",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d $\mathcal{N}=2$ compactifications and capture aspects of the effective field theory near the attractor values in terms of physical quantities far away in moduli space. Furthermore, we illustrate how the standard distance in moduli space can be related asymptotically to the black hole mass. We also compute a measure of the resolution with which BPS black holes of a given mass can distinguish far away points in the moduli space. The black hole probes may lead to a deeper understanding of the Swampland constraints on the geometry of the moduli space.
|
2002.11128
|
David Andriot
|
David Andriot, Alan Cornell, Aldo Deandrea, Fabio Dogliotti, Dimitrios
Tsimpis
|
A new mechanism for symmetry breaking from nilmanifolds
|
17 pages, 1 figure
| null |
10.1007/JHEP05(2020)122
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a method to obtain a scalar potential at tree level from a pure
gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and
discuss the spontaneous symmetry breaking mechanism induced in the residual
Minkowski space after compactification at low energy. We show that the scalar
potential is completely determined by the gauge symmetries and the geometry of
the compact manifold. In order to allow for simple analytic calculations we
consider three extra space dimensions as the minimal example of a nilmanifold,
therefore considering a pure Yang-Mills theory in seven dimensions.
|
[
{
"created": "Tue, 25 Feb 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2020 16:30:44 GMT",
"version": "v2"
}
] |
2020-06-24
|
[
[
"Andriot",
"David",
""
],
[
"Cornell",
"Alan",
""
],
[
"Deandrea",
"Aldo",
""
],
[
"Dogliotti",
"Fabio",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] |
We present a method to obtain a scalar potential at tree level from a pure gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and discuss the spontaneous symmetry breaking mechanism induced in the residual Minkowski space after compactification at low energy. We show that the scalar potential is completely determined by the gauge symmetries and the geometry of the compact manifold. In order to allow for simple analytic calculations we consider three extra space dimensions as the minimal example of a nilmanifold, therefore considering a pure Yang-Mills theory in seven dimensions.
|
1203.1619
|
Thomas Bachlechner
|
Thomas C. Bachlechner
|
Decoherence delays false vacuum decay
|
19 pages, two figures, updated to published version
|
Class. Quantum Grav. 30 (2013) 095012
|
10.1088/0264-9381/30/9/095012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that gravitational interactions between massless thermal modes and a
nucleating Coleman-de Luccia bubble may lead to efficient decoherence and
strongly suppress metastable vacuum decay for bubbles that are small compared
to the Hubble radius. The vacuum decay rate including gravity and thermal
photon interactions has the exponential scaling $\Gamma\sim\Gamma_{CDL}^{2}$,
where $\Gamma_{CDL}$ is the Coleman-de Luccia decay rate neglecting photon
interactions. For the lowest metastable initial state an efficient quantum Zeno
effect occurs due to thermal radiation of temperatures as low as the de Sitter
temperature. This strong decoherence effect is a consequence of gravitational
interactions with light external mode. We argue that efficient decoherence does
not occur for the case of Hawking-Moss decay. This observation is consistent
with requirements set by Poincare recurrence in de Sitter space.
|
[
{
"created": "Wed, 7 Mar 2012 21:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2012 19:39:12 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Apr 2013 15:41:54 GMT",
"version": "v3"
}
] |
2013-04-18
|
[
[
"Bachlechner",
"Thomas C.",
""
]
] |
We show that gravitational interactions between massless thermal modes and a nucleating Coleman-de Luccia bubble may lead to efficient decoherence and strongly suppress metastable vacuum decay for bubbles that are small compared to the Hubble radius. The vacuum decay rate including gravity and thermal photon interactions has the exponential scaling $\Gamma\sim\Gamma_{CDL}^{2}$, where $\Gamma_{CDL}$ is the Coleman-de Luccia decay rate neglecting photon interactions. For the lowest metastable initial state an efficient quantum Zeno effect occurs due to thermal radiation of temperatures as low as the de Sitter temperature. This strong decoherence effect is a consequence of gravitational interactions with light external mode. We argue that efficient decoherence does not occur for the case of Hawking-Moss decay. This observation is consistent with requirements set by Poincare recurrence in de Sitter space.
|
hep-th/9309126
|
Keith R. Dienes
|
Keith R. Dienes and Jean-Rene Cudell
|
Conformal Invariance and Degrees of Freedom in the QCD String
|
13 pages (Standard LaTeX); --> replaced version emphasizes new
results, and agrees with version to appear in Physical Review Letters (Jan
1994)
|
Phys.Rev.Lett. 72 (1994) 187-190
|
10.1103/PhysRevLett.72.187
| null |
hep-th hep-ph
| null |
We demonstrate that the Hagedorn-like growth of the number of observed meson
states can be used to constrain the degrees of freedom of the underlying
effective QCD string. We find that the temperature relevant for such string
theories is not given by the usual Hagedorn value $T_H\approx 160$ MeV, but is
considerably higher. This resolves an apparent conflict with the results from a
static quark-potential analysis, and suggests that conformal invariance and
modular invariance are indeed reflected in the hadronic spectrum. We also find
that the $D_\perp=2$ scalar string is in excellent agreement with data.
|
[
{
"created": "Thu, 23 Sep 1993 03:27:00 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 1994 06:58:12 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Dienes",
"Keith R.",
""
],
[
"Cudell",
"Jean-Rene",
""
]
] |
We demonstrate that the Hagedorn-like growth of the number of observed meson states can be used to constrain the degrees of freedom of the underlying effective QCD string. We find that the temperature relevant for such string theories is not given by the usual Hagedorn value $T_H\approx 160$ MeV, but is considerably higher. This resolves an apparent conflict with the results from a static quark-potential analysis, and suggests that conformal invariance and modular invariance are indeed reflected in the hadronic spectrum. We also find that the $D_\perp=2$ scalar string is in excellent agreement with data.
|
hep-th/0411185
|
Massimiliano Rinaldi
|
Massimiliano Rinaldi and Paul Watts
|
Pre-Big Bang Scenario on Self-T-Dual Bouncing Branes
|
18 pages, minor typos corrected, Sec. 2 expanded with more details on
the self-T-dual background, Sec.4 and 5 revised accordingly. Version to
appear on JCAP
|
JCAP 0503 (2005) 006
|
10.1088/1475-7516/2005/03/006
| null |
hep-th gr-qc
| null |
We consider a new class of 5-dimensional dilatonic actions which are
invariant under T-duality transformations along three compact coordinates,
provided that an appropriate potential is chosen. We show that the invariance
remains when we add a boundary term corresponding to a moving 3-brane, and we
study the effects of the T-duality symmetry on the brane cosmological
equations. We find that T-duality transformations in the bulk induce scale
factor duality on the brane, together with a change of sign of the pressure of
the brane cosmological matter. However, in a remarkable analogy with the
Pre-Big Bang scenario, the cosmological equations are unchanged. Finally, we
propose a model where the dual phases are connected through a scattering of the
brane induced by an effective potential. We show how this model can realise a
smooth, non-singular transition between a pre-Big Bang superinflationary
Universe and a post-Big Bang accelerating Universe.
|
[
{
"created": "Sat, 20 Nov 2004 20:09:34 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2004 17:50:49 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Mar 2005 18:15:50 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Rinaldi",
"Massimiliano",
""
],
[
"Watts",
"Paul",
""
]
] |
We consider a new class of 5-dimensional dilatonic actions which are invariant under T-duality transformations along three compact coordinates, provided that an appropriate potential is chosen. We show that the invariance remains when we add a boundary term corresponding to a moving 3-brane, and we study the effects of the T-duality symmetry on the brane cosmological equations. We find that T-duality transformations in the bulk induce scale factor duality on the brane, together with a change of sign of the pressure of the brane cosmological matter. However, in a remarkable analogy with the Pre-Big Bang scenario, the cosmological equations are unchanged. Finally, we propose a model where the dual phases are connected through a scattering of the brane induced by an effective potential. We show how this model can realise a smooth, non-singular transition between a pre-Big Bang superinflationary Universe and a post-Big Bang accelerating Universe.
|
hep-th/9306090
|
Samir Mathur
|
Samir D. Mathur
|
Is the Polyakov path integral prescription too restrictive?
|
37 pages, harvmac
| null | null | null |
hep-th gr-qc
| null |
In the first quantised description of strings, we integrate over target space
co-ordinates $X^\mu$ and world sheet metrics $g_{\alpha\beta}$. Such path
integrals give scattering amplitudes between the `in' and `out' vacuua for a
time-dependent target space geometry. For a complete description of
`particle creation' and the corresponding backreaction, we need instead the
causal amplitudes obtained from an `initial value formulation'. We argue, using
the analogy of a scalar particle in curved space, that in the first quantised
path integral one should integrate over $X^\mu$ and world sheet {\it
zweibiens}. This extended formalism can be made to yield causal amplitudes; it
also naturally allows incorporation of density matrices in a covariant manner.
(This paper is an expanded version of hep-th 9301044)
|
[
{
"created": "Fri, 18 Jun 1993 15:22:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mathur",
"Samir D.",
""
]
] |
In the first quantised description of strings, we integrate over target space co-ordinates $X^\mu$ and world sheet metrics $g_{\alpha\beta}$. Such path integrals give scattering amplitudes between the `in' and `out' vacuua for a time-dependent target space geometry. For a complete description of `particle creation' and the corresponding backreaction, we need instead the causal amplitudes obtained from an `initial value formulation'. We argue, using the analogy of a scalar particle in curved space, that in the first quantised path integral one should integrate over $X^\mu$ and world sheet {\it zweibiens}. This extended formalism can be made to yield causal amplitudes; it also naturally allows incorporation of density matrices in a covariant manner. (This paper is an expanded version of hep-th 9301044)
|
1310.6032
|
Jennifer Lin
|
David Kutasov, Jennifer Lin
|
(0,2) Dynamics From Four Dimensions
|
41 pages, 9 figures; v2: references added
|
Phys. Rev. D 89, 085025 (2014)
|
10.1103/PhysRevD.89.085025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study (0,2) supersymmetric two-dimensional theories obtained by
compactifying four-dimensional N=1 supersymmetric theories on a two-torus, with
a magnetic field for a global U(1) symmetry, and present evidence that Seiberg
duality in four dimensions leads to an identification of different models of
this type.
|
[
{
"created": "Tue, 22 Oct 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 20:59:16 GMT",
"version": "v2"
}
] |
2014-04-23
|
[
[
"Kutasov",
"David",
""
],
[
"Lin",
"Jennifer",
""
]
] |
We study (0,2) supersymmetric two-dimensional theories obtained by compactifying four-dimensional N=1 supersymmetric theories on a two-torus, with a magnetic field for a global U(1) symmetry, and present evidence that Seiberg duality in four dimensions leads to an identification of different models of this type.
|
0705.3207
|
Willie Merrell II
|
S. James Gates, Jr., Willie Merrell
|
D=2 N=(2,2) Semi Chiral Vector Multiplet
|
15 pages
|
JHEP 0710:035,2007
|
10.1088/1126-6708/2007/10/035
|
UMDEPP-07-002
|
hep-th
| null |
We describe a new 1+1 dimensional N=(2,2) vector multiplet that naturally
couples to semi chiral superfields in the sense that the gauged supercovariant
derivative algebra is only consistent with imposing covariantly semi chiral
superfield constraints. It has the advantages that its prepotentials shift by
semi chiral superfields under gauge transformations. We also see that the
multiplet relates the chiral vector multiplet with the twisted chiral vector
multiplet by reducing to either multiplet under appropriate limits without
being reducible in terms of the chiral and twisted chiral vector multiplet.
This is explained from the superspace geometrical point of view as the result
of possessing a symmetry under the discrete supercoordinate transformation that
is responsible for mirror copies of supermultiplets. We then describe how to
gauge a non linear sigma model with semi chiral superfields using the
prepotentials of the new multiplet.
|
[
{
"created": "Tue, 22 May 2007 16:15:43 GMT",
"version": "v1"
}
] |
2012-08-27
|
[
[
"Gates,",
"S. James",
"Jr."
],
[
"Merrell",
"Willie",
""
]
] |
We describe a new 1+1 dimensional N=(2,2) vector multiplet that naturally couples to semi chiral superfields in the sense that the gauged supercovariant derivative algebra is only consistent with imposing covariantly semi chiral superfield constraints. It has the advantages that its prepotentials shift by semi chiral superfields under gauge transformations. We also see that the multiplet relates the chiral vector multiplet with the twisted chiral vector multiplet by reducing to either multiplet under appropriate limits without being reducible in terms of the chiral and twisted chiral vector multiplet. This is explained from the superspace geometrical point of view as the result of possessing a symmetry under the discrete supercoordinate transformation that is responsible for mirror copies of supermultiplets. We then describe how to gauge a non linear sigma model with semi chiral superfields using the prepotentials of the new multiplet.
|
2402.03670
|
Reiji Yoshioka
|
Chuan-Tsung Chan, Hiroshi Itoyama, Reiji Yoshioka
|
Large order behavior near the AD point: the case of $\mathcal{N} =2$,
$su(2)$, $N_f =2$
|
14 pages
| null | null |
NITEP 196
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A non-perturbative effect in $\kappa$ (renormalized string coupling) obtained
from the large order behavior in the vicinity of the prototypical
Argyres-Douglas critical point of $su(2)$, $N_f =2$, $\mathcal{N} =2$ susy
gauge theory can be studied in the GWW unitary matrix model with the log term:
the one as the work done against the barrier of the effective potential by a
single eigenvalue lifted from the sea and the other as a non-perturbative
function contained in the solutions of the nonlinear differential equation PII
that goes beyond the asymptotic series.
The leading behaviors are of the form $\exp (-\frac{4}{3}\frac{1}{\kappa} \,
(1, \left(\frac{s}{K}\right)^{\frac{3}{2}} ))$ respectively.
We make comments on their agreement.
|
[
{
"created": "Tue, 6 Feb 2024 03:46:31 GMT",
"version": "v1"
}
] |
2024-02-07
|
[
[
"Chan",
"Chuan-Tsung",
""
],
[
"Itoyama",
"Hiroshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] |
A non-perturbative effect in $\kappa$ (renormalized string coupling) obtained from the large order behavior in the vicinity of the prototypical Argyres-Douglas critical point of $su(2)$, $N_f =2$, $\mathcal{N} =2$ susy gauge theory can be studied in the GWW unitary matrix model with the log term: the one as the work done against the barrier of the effective potential by a single eigenvalue lifted from the sea and the other as a non-perturbative function contained in the solutions of the nonlinear differential equation PII that goes beyond the asymptotic series. The leading behaviors are of the form $\exp (-\frac{4}{3}\frac{1}{\kappa} \, (1, \left(\frac{s}{K}\right)^{\frac{3}{2}} ))$ respectively. We make comments on their agreement.
|
hep-th/9703045
|
Laszlo Palla
|
J. Balog, L. Feh\'er and L. Palla
|
Coadjoint orbits of the Virasoro algebra and the global Liouville
equation
|
Plain TEX, 48 pages, final version to appear in IJMPA
|
Int.J.Mod.Phys. A13 (1998) 315-362
|
10.1142/S0217751X98000147
| null |
hep-th
| null |
The classification of the coadjoint orbits of the Virasoro algebra is
reviewed and is then applied to analyze the so-called global Liouville
equation. The review is self-contained, elementary and is tailor-made for the
application. It is well-known that the Liouville equation for a smooth, real
field $\phi$ under periodic boundary condition is a reduction of the SL(2,R)
WZNW model on the cylinder, where the WZNW field g in SL(2,R) is restricted to
be Gauss decomposable. If one drops this restriction, the Hamiltonian reduction
yields, for the field $Q=\kappa g_{22}$ where $\kappa\neq 0$ is a constant,
what we call the global Liouville equation. Corresponding to the winding number
of the SL(2,R) WZNW model there is a topological invariant in the reduced
theory, given by the number of zeros of Q over a period. By the substitution
$Q=\pm\exp(- \phi/2)$, the Liouville theory for a smooth $\phi$ is recovered in
the trivial topological sector. The nontrivial topological sectors can be
viewed as singular sectors of the Liouville theory that contain blowing-up
solutions in terms of $\phi$. Since the global Liouville equation is
conformally invariant, its solutions can be described by explicitly listing
those solutions for which the stress-energy tensor belongs to a set of
representatives of the Virasoro coadjoint orbits chosen by convention. This
direct method permits to study the `coadjoint orbit content' of the topological
sectors as well as the behaviour of the energy in the sectors. The analysis
confirms that the trivial topological sector contains special orbits with
hyperbolic monodromy and shows that the energy is bounded from below in this
sector only.
|
[
{
"created": "Thu, 6 Mar 1997 12:43:52 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 1997 08:44:34 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jan 1997 12:56:51 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Balog",
"J.",
""
],
[
"Fehér",
"L.",
""
],
[
"Palla",
"L.",
""
]
] |
The classification of the coadjoint orbits of the Virasoro algebra is reviewed and is then applied to analyze the so-called global Liouville equation. The review is self-contained, elementary and is tailor-made for the application. It is well-known that the Liouville equation for a smooth, real field $\phi$ under periodic boundary condition is a reduction of the SL(2,R) WZNW model on the cylinder, where the WZNW field g in SL(2,R) is restricted to be Gauss decomposable. If one drops this restriction, the Hamiltonian reduction yields, for the field $Q=\kappa g_{22}$ where $\kappa\neq 0$ is a constant, what we call the global Liouville equation. Corresponding to the winding number of the SL(2,R) WZNW model there is a topological invariant in the reduced theory, given by the number of zeros of Q over a period. By the substitution $Q=\pm\exp(- \phi/2)$, the Liouville theory for a smooth $\phi$ is recovered in the trivial topological sector. The nontrivial topological sectors can be viewed as singular sectors of the Liouville theory that contain blowing-up solutions in terms of $\phi$. Since the global Liouville equation is conformally invariant, its solutions can be described by explicitly listing those solutions for which the stress-energy tensor belongs to a set of representatives of the Virasoro coadjoint orbits chosen by convention. This direct method permits to study the `coadjoint orbit content' of the topological sectors as well as the behaviour of the energy in the sectors. The analysis confirms that the trivial topological sector contains special orbits with hyperbolic monodromy and shows that the energy is bounded from below in this sector only.
|
hep-th/0208108
|
Jose M. Figueroa-O'Farrill
|
Jos\'e Figueroa-O'Farrill and Joan Sim\'on
|
Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles
|
36 pages (v2: Reference added, "draft" mode disabled; v3: two
singular reductions discarded, appendix on spin structures added, references
updated)
|
Class.Quant.Grav.19:6147-6174,2002
|
10.1088/0264-9381/19/23/315
|
EMPG-02-14, WIS/37/02-AUG-DPP
|
hep-th math.DG
| null |
We investigate the Kaluza-Klein reductions to ten dimensions of the purely
gravitational half-BPS M-theory backgrounds: the M-wave and the Kaluza-Klein
monopole. We determine the moduli space of smooth (supersymmetric) Kaluza-Klein
reductions by classifying the freely-acting spacelike Killing vectors which
preserve some Killing spinor. As a consequence we find a wealth of new
supersymmetric IIA configurations involving composite and/or bound-state
configurations of waves, D0 and D6-branes, Kaluza-Klein monopoles in type IIA
and flux/nullbranes, and some other new configurations. Some new features
raised by the geometry of the Taub-NUT space are discussed, namely the
existence of reductions with no continuous moduli. We also propose an
interpretation of the flux 5-brane in terms of the local description (close to
the branes) of a bound state of D6-branes and ten-dimensional Kaluza-Klein
monopoles.
|
[
{
"created": "Thu, 15 Aug 2002 15:07:14 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Aug 2002 16:16:35 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Oct 2003 22:07:32 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Simón",
"Joan",
""
]
] |
We investigate the Kaluza-Klein reductions to ten dimensions of the purely gravitational half-BPS M-theory backgrounds: the M-wave and the Kaluza-Klein monopole. We determine the moduli space of smooth (supersymmetric) Kaluza-Klein reductions by classifying the freely-acting spacelike Killing vectors which preserve some Killing spinor. As a consequence we find a wealth of new supersymmetric IIA configurations involving composite and/or bound-state configurations of waves, D0 and D6-branes, Kaluza-Klein monopoles in type IIA and flux/nullbranes, and some other new configurations. Some new features raised by the geometry of the Taub-NUT space are discussed, namely the existence of reductions with no continuous moduli. We also propose an interpretation of the flux 5-brane in terms of the local description (close to the branes) of a bound state of D6-branes and ten-dimensional Kaluza-Klein monopoles.
|
1001.2317
|
Lara Anderson
|
Lara B. Anderson, James Gray, and Burt Ovrut
|
Yukawa Textures From Heterotic Stability Walls
|
53 pages, 4 figures and 13 tables
|
JHEP 1005:086,2010
|
10.1007/JHEP05(2010)086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A holomorphic vector bundle on a Calabi-Yau threefold, X, with h^{1,1}(X)>1
can have regions of its Kahler cone where it is slope-stable, that is, where
the four-dimensional theory is N=1 supersymmetric, bounded by "walls of
stability". On these walls the bundle becomes poly-stable, decomposing into a
direct sum, and the low energy gauge group is enhanced by at least one
anomalous U(1) gauge factor. In this paper, we show that these additional
symmetries can strongly constrain the superpotential in the stable region,
leading to non-trivial textures of Yukawa interactions and restrictions on
allowed masses for vector-like pairs of matter multiplets. The Yukawa textures
exhibit a hierarchy; large couplings arise on the stability wall and some
suppressed interactions "grow back" off the wall, where the extended U(1)
symmetries are spontaneously broken. A number of explicit examples are
presented involving both one and two stability walls, with different
decompositions of the bundle structure group. A three family standard-like
model with no vector-like pairs is given as an example of a class of SU(4)
bundles that has a naturally heavy third quark/lepton family. Finally, we
present the complete set of Yukawa textures that can arise for any holomorphic
bundle with one stability wall where the structure group breaks into two
factors.
|
[
{
"created": "Wed, 13 Jan 2010 21:49:56 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Ovrut",
"Burt",
""
]
] |
A holomorphic vector bundle on a Calabi-Yau threefold, X, with h^{1,1}(X)>1 can have regions of its Kahler cone where it is slope-stable, that is, where the four-dimensional theory is N=1 supersymmetric, bounded by "walls of stability". On these walls the bundle becomes poly-stable, decomposing into a direct sum, and the low energy gauge group is enhanced by at least one anomalous U(1) gauge factor. In this paper, we show that these additional symmetries can strongly constrain the superpotential in the stable region, leading to non-trivial textures of Yukawa interactions and restrictions on allowed masses for vector-like pairs of matter multiplets. The Yukawa textures exhibit a hierarchy; large couplings arise on the stability wall and some suppressed interactions "grow back" off the wall, where the extended U(1) symmetries are spontaneously broken. A number of explicit examples are presented involving both one and two stability walls, with different decompositions of the bundle structure group. A three family standard-like model with no vector-like pairs is given as an example of a class of SU(4) bundles that has a naturally heavy third quark/lepton family. Finally, we present the complete set of Yukawa textures that can arise for any holomorphic bundle with one stability wall where the structure group breaks into two factors.
|
hep-th/9801005
|
Yang Ji-feng
|
Jifeng Yang (Fudan Univ., Shanghai, P. R. China)
|
Quantum field theory can be UV finite if it is taken as effective one
|
11 pages, LaTex, no figures, an explanation of hep-th/9708104
| null | null | null |
hep-th hep-ph
| null |
This is a further explanation of a new and simple renormalization approach
recently proposed by the author (hep-th/9708104, Ref. [1], that is somewhat
sketchy) for any ordinary QFT (whether renormalizable or not) in any spacetime
dimension. We discussed the physical motivations of the new approach and its
efficiency when compared to the existent renormalization approaches. Some other
important issues related are briefly touched.
|
[
{
"created": "Sat, 3 Jan 1998 08:23:43 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 1998 07:50:00 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Yang",
"Jifeng",
"",
"Fudan Univ., Shanghai, P. R. China"
]
] |
This is a further explanation of a new and simple renormalization approach recently proposed by the author (hep-th/9708104, Ref. [1], that is somewhat sketchy) for any ordinary QFT (whether renormalizable or not) in any spacetime dimension. We discussed the physical motivations of the new approach and its efficiency when compared to the existent renormalization approaches. Some other important issues related are briefly touched.
|
hep-th/9912023
|
Yves Brihaye
|
Y. Brihaye, F. Grard, S. Hoorelbeke
|
Gravitating dyons and the Lue-Weinberg bifurcation
|
RevTeX, 6 pages, 8 figures
|
Phys.Rev. D62 (2000) 044013
|
10.1103/PhysRevD.62.044013
| null |
hep-th
| null |
Gravitating t'Hooft-Polyakov magnetic monopoles can be constructed when
coupling the Georgi-Glashow model to gravitation. For a given value of the
Higgs boson mass, these gravitating solitons exist up to a critical value of
the ratio of the vector meson mass to the Planck mass. The critical solution is
characterized by a degenerate horizon of the metric. As pointed out recently by
Lue and Weinberg, two types of critical solutions can occur, depending on the
value of the Higgs boson mass. Here we investigate this transition for dyons
and show that the Lue and Weinberg phenomenon is favorized by the presence of
the electric-charge degree of freedom.
|
[
{
"created": "Fri, 3 Dec 1999 15:08:43 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Brihaye",
"Y.",
""
],
[
"Grard",
"F.",
""
],
[
"Hoorelbeke",
"S.",
""
]
] |
Gravitating t'Hooft-Polyakov magnetic monopoles can be constructed when coupling the Georgi-Glashow model to gravitation. For a given value of the Higgs boson mass, these gravitating solitons exist up to a critical value of the ratio of the vector meson mass to the Planck mass. The critical solution is characterized by a degenerate horizon of the metric. As pointed out recently by Lue and Weinberg, two types of critical solutions can occur, depending on the value of the Higgs boson mass. Here we investigate this transition for dyons and show that the Lue and Weinberg phenomenon is favorized by the presence of the electric-charge degree of freedom.
|
2312.14114
|
Alessandro Sfondrini
|
Sergey Frolov, Alessandro Sfondrini
|
Comments on Integrability in the Symmetric Orbifold
|
38 pages; v2: ref's added; v3: more ref's added, subsections 3.2,
4.1, 4.2, 4.3 added; v4: more comments added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a map between the excitation of the symmetric-product orbifold CFT
of $T^4$, and of the worldsheet-integrability description of $AdS_3\times
S^3\times T^4$ of Lloyd, Ohlsson Sax, Sfondrini, and Stefa\'nski at $k=1$. We
discuss the map in the absence of RR fluxes, when the theory is free, and at
small RR flux, $h\ll 1$, where the symmetric-orbifold CFT is deformed by a
marginal operator from the twist-two sector. We discuss the recent results of
Gaberdiel, Gopakumar, and Nairz, who computed from the perturbed
symmetric-product orbifold the central extension to the symmetry algebra of the
theory and its coproduct. We show that it coincides with the $h\ll 1$ expansion
of the lightcone symmetry algebra known from worldsheet integrability, and that
hence the S matrix found by Gaberdiel, Gopakumar, and Nairz maps to the one
bootstrapped by the worldsheet integrability approach.
|
[
{
"created": "Thu, 21 Dec 2023 18:40:21 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2024 12:06:52 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Mar 2024 18:00:02 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Jul 2024 17:02:42 GMT",
"version": "v4"
}
] |
2024-07-25
|
[
[
"Frolov",
"Sergey",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] |
We present a map between the excitation of the symmetric-product orbifold CFT of $T^4$, and of the worldsheet-integrability description of $AdS_3\times S^3\times T^4$ of Lloyd, Ohlsson Sax, Sfondrini, and Stefa\'nski at $k=1$. We discuss the map in the absence of RR fluxes, when the theory is free, and at small RR flux, $h\ll 1$, where the symmetric-orbifold CFT is deformed by a marginal operator from the twist-two sector. We discuss the recent results of Gaberdiel, Gopakumar, and Nairz, who computed from the perturbed symmetric-product orbifold the central extension to the symmetry algebra of the theory and its coproduct. We show that it coincides with the $h\ll 1$ expansion of the lightcone symmetry algebra known from worldsheet integrability, and that hence the S matrix found by Gaberdiel, Gopakumar, and Nairz maps to the one bootstrapped by the worldsheet integrability approach.
|
0805.4091
|
Maurizio Gasperini
|
M. Gasperini
|
Higher-dimensional perturbations of the vacuum energy density
|
10 pages, no figures, to appear in JHEP
|
JHEP 0806:009,2008
|
10.1088/1126-6708/2008/06/009
|
BA-TH/579-08
|
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The vacuum energy density arising from the broken supersymmetry of the
(standard-model) fields living on a brane cannot be fully "off-loaded" to the
bulk: even assuming the existence of an effective "self-tuning" mechanism, a
small fraction of the transferred energy "bunces back" to the brane, as a
backreaction of the supersymmetry breaking gravitationally transmitted to the
bulk. In that case the SUSY scale of the brane has to be bounded, to guarantee
the consistency of such a residual energy density with current large-scale
phenomonological constraints. This effect is illustrated by computing the
zero-point energies of the tower of (higher-dimensional) massive states
associated to tensor metric fluctuations on a brane embedded in a warped bulk
geometry, and it is shown to be independent of the number of compact or
non-compact extra dimensions.
|
[
{
"created": "Tue, 27 May 2008 10:19:49 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gasperini",
"M.",
""
]
] |
The vacuum energy density arising from the broken supersymmetry of the (standard-model) fields living on a brane cannot be fully "off-loaded" to the bulk: even assuming the existence of an effective "self-tuning" mechanism, a small fraction of the transferred energy "bunces back" to the brane, as a backreaction of the supersymmetry breaking gravitationally transmitted to the bulk. In that case the SUSY scale of the brane has to be bounded, to guarantee the consistency of such a residual energy density with current large-scale phenomonological constraints. This effect is illustrated by computing the zero-point energies of the tower of (higher-dimensional) massive states associated to tensor metric fluctuations on a brane embedded in a warped bulk geometry, and it is shown to be independent of the number of compact or non-compact extra dimensions.
|
1906.01943
|
Yakov Shnir
|
V. Loiko and Ya Shnir
|
Q-balls in the $U(1)$ gauged Friedberg-Lee-Sirlin model
|
14 pages, 6 figures. v2: minor numerical errors corrected, figures
improved
| null |
10.1016/j.physletb.2019.134810
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the $U(1)$ gauged two-component Friedberg-Lee-Sirlin model in 3+1
dimensional Minkowski spacetime, which supports non-topological soliton
configurations. Here we found families of axially-symmetric spinning gauged
Q-balls, which possess both electric and magnetic fields. The coupling to the
gauge sector gives rise to a new branch of solutions, which represent the
soliton configuration coupled to a circular magnetic flux. Further, in
superconducting phase this branch is linked to vorton type solutions which
represent a vortex encircling the soliton. We discuss properties of these
solutions and investigate their domains of existence.
|
[
{
"created": "Wed, 5 Jun 2019 11:17:36 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 2019 09:53:46 GMT",
"version": "v2"
}
] |
2019-07-31
|
[
[
"Loiko",
"V.",
""
],
[
"Shnir",
"Ya",
""
]
] |
We consider the $U(1)$ gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which possess both electric and magnetic fields. The coupling to the gauge sector gives rise to a new branch of solutions, which represent the soliton configuration coupled to a circular magnetic flux. Further, in superconducting phase this branch is linked to vorton type solutions which represent a vortex encircling the soliton. We discuss properties of these solutions and investigate their domains of existence.
|
1011.0408
|
Rafael Hernandez
|
Rafael Hernandez
|
Three-point correlation functions from semiclassical circular strings
|
13 pages. Latex. v2: Misprints corrected and references added
|
J.Phys.A44:085403,2011
|
10.1088/1751-8113/44/8/085403
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The strong-coupling limit of three-point correlation functions of local
operators can be analyzed beyond the supergravity regime using vertex operators
representing spinning string states. When two of the vertex operators
correspond to heavy string states having large quantum numbers, while the third
operator corresponds to a light state with fixed charges, the correlator can be
computed in the large string tension limit by means of a semiclassical
approximation. We study the case when the heavy string states are circular
string solutions with one AdS_5 spin and three different angular momenta along
S^5, for several choices of the light string state.
|
[
{
"created": "Mon, 1 Nov 2010 18:47:23 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 2011 14:58:50 GMT",
"version": "v2"
}
] |
2011-05-16
|
[
[
"Hernandez",
"Rafael",
""
]
] |
The strong-coupling limit of three-point correlation functions of local operators can be analyzed beyond the supergravity regime using vertex operators representing spinning string states. When two of the vertex operators correspond to heavy string states having large quantum numbers, while the third operator corresponds to a light state with fixed charges, the correlator can be computed in the large string tension limit by means of a semiclassical approximation. We study the case when the heavy string states are circular string solutions with one AdS_5 spin and three different angular momenta along S^5, for several choices of the light string state.
|
0909.1715
|
Jean-Francois Mathiot
|
P. Grange, J.-F. Mathiot, B. Mutet, E. Werner
|
Taylor-Lagrange renormalization scheme. Application to light-front
dynamics
|
18 pages, 6 figures, introduction changed, corrected typos, to be
published in Physical Review D
|
Phys.Rev.D80:105012,2009
|
10.1103/PhysRevD.80.105012
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently proposed renormalization scheme based on the definition of field
operators as operator valued distributions acting on specific test functions is
shown to be very convenient in explicit calculations of physical observables
within the framework of light-front dynamics. We first recall the main
properties of this procedure based on identities relating the test functions to
their Taylor remainder of any order expressed in terms of Lagrange's formulae,
hence the name given to this scheme. We thus show how it naturally applies to
the calculation of state vectors of physical systems in the covariant
formulation of light-front dynamics. As an example, we consider the case of the
Yukawa model in the simple two-body Fock state truncation.
|
[
{
"created": "Wed, 9 Sep 2009 14:33:01 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Nov 2009 14:11:25 GMT",
"version": "v2"
}
] |
2009-12-10
|
[
[
"Grange",
"P.",
""
],
[
"Mathiot",
"J. -F.",
""
],
[
"Mutet",
"B.",
""
],
[
"Werner",
"E.",
""
]
] |
The recently proposed renormalization scheme based on the definition of field operators as operator valued distributions acting on specific test functions is shown to be very convenient in explicit calculations of physical observables within the framework of light-front dynamics. We first recall the main properties of this procedure based on identities relating the test functions to their Taylor remainder of any order expressed in terms of Lagrange's formulae, hence the name given to this scheme. We thus show how it naturally applies to the calculation of state vectors of physical systems in the covariant formulation of light-front dynamics. As an example, we consider the case of the Yukawa model in the simple two-body Fock state truncation.
|
hep-th/0103264
|
Yoonbai Kim
|
Sang-Ok Hahn, Youngjai Kiem, Yoonbai Kim, Phillial Oh
|
Path integral formulation of Hodge duality on the brane
|
7 pages, LaTeX
|
Phys.Rev. D64 (2001) 047502
|
10.1103/PhysRevD.64.047502
| null |
hep-th
| null |
In the warped compactification with a single Randall-Sundrum brane, a
puzzling claim has been made that scalar fields can be bound to the brane but
their Hodge dual higher-rank anti-symmetric tensors cannot. By explicitly
requiring the Hodge duality, a prescription to resolve this puzzle was recently
proposed by Duff and Liu. In this note, we implement the Hodge duality via path
integral formulation in the presence of the background gravity fields of warped
compactifications. It is shown that the prescription of Duff and Liu can be
naturally understood within this framework.
|
[
{
"created": "Fri, 30 Mar 2001 16:54:54 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hahn",
"Sang-Ok",
""
],
[
"Kiem",
"Youngjai",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Oh",
"Phillial",
""
]
] |
In the warped compactification with a single Randall-Sundrum brane, a puzzling claim has been made that scalar fields can be bound to the brane but their Hodge dual higher-rank anti-symmetric tensors cannot. By explicitly requiring the Hodge duality, a prescription to resolve this puzzle was recently proposed by Duff and Liu. In this note, we implement the Hodge duality via path integral formulation in the presence of the background gravity fields of warped compactifications. It is shown that the prescription of Duff and Liu can be naturally understood within this framework.
|
hep-th/9903123
|
Alberto Lerda
|
M. Frau, L. Gallot, A. Lerda, P. Strigazzi
|
Stable non-BPS D-branes in Type I string theory
|
31 pages, plain LaTeX, final version to be published in Nucl. Phys. B
|
Nucl.Phys.B564:60-85,2000
|
10.1016/S0550-3213(99)00624-0
|
DFTT 14/99
|
hep-th
| null |
We use the boundary state formalism to study, from the closed string point of
view, superpositions of branes and anti-branes which are relevant in some
non-perturbative string dualities. Treating the tachyon instability of these
systems as proposed by A. Sen, we show how to incorporate the effects of the
tachyon condensation directly in the boundary state. In this way we manage to
show explicitly that the D1 -- anti-D1 pair of Type I is a stable non-BPS
D-particle, and compute its mass. We also generalize this construction to
describe other non-BPS D-branes of Type I. By requiring the absence of tachyons
in the open string spectrum, we find which configurations are stable and
compute their tensions. Our classification is in complete agreement with the
results recently obtained using the K-theory of space-time.
|
[
{
"created": "Mon, 15 Mar 1999 16:31:37 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 1999 13:58:00 GMT",
"version": "v2"
}
] |
2010-11-26
|
[
[
"Frau",
"M.",
""
],
[
"Gallot",
"L.",
""
],
[
"Lerda",
"A.",
""
],
[
"Strigazzi",
"P.",
""
]
] |
We use the boundary state formalism to study, from the closed string point of view, superpositions of branes and anti-branes which are relevant in some non-perturbative string dualities. Treating the tachyon instability of these systems as proposed by A. Sen, we show how to incorporate the effects of the tachyon condensation directly in the boundary state. In this way we manage to show explicitly that the D1 -- anti-D1 pair of Type I is a stable non-BPS D-particle, and compute its mass. We also generalize this construction to describe other non-BPS D-branes of Type I. By requiring the absence of tachyons in the open string spectrum, we find which configurations are stable and compute their tensions. Our classification is in complete agreement with the results recently obtained using the K-theory of space-time.
|
2307.14458
|
Hong Lu
|
Qi-Yuan Mao, Liang Ma, H. Lu
|
Vulnerability of Horizon Regularity: Horizon as a Natural Boundary
|
Latex, 24 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Einstein gravity extended with Riemann-squared term and construct
the leading-order perturbative solution to the rotating black hole with all
equal angular momenta in $D=7$. We find that in the extremal limit, the linear
perturbation involves irrational powers in the near-horizon expansion. We argue
that, despite that all curvature tensor invariants are regular on the horizon,
the irrational power implies that the inside of the horizon is destroyed and
the horizon becomes the natural boundary of the spacetime. We demonstrate that
this vulnerability of the horizon regularity is an innate part of Einstein
theory, and can arise in Einstein theory with minimally coupled matter.
However, in fine-tuned theories such as supergravities, the black hole inside
is preserved, which may be one of the criteria for a consistent theory of
quantum gravity. We also show that the vulnerability occurs in general higher
dimensions, which only a few sporadically distributed dimensions can evade.
|
[
{
"created": "Wed, 26 Jul 2023 19:00:04 GMT",
"version": "v1"
}
] |
2023-07-28
|
[
[
"Mao",
"Qi-Yuan",
""
],
[
"Ma",
"Liang",
""
],
[
"Lu",
"H.",
""
]
] |
We consider Einstein gravity extended with Riemann-squared term and construct the leading-order perturbative solution to the rotating black hole with all equal angular momenta in $D=7$. We find that in the extremal limit, the linear perturbation involves irrational powers in the near-horizon expansion. We argue that, despite that all curvature tensor invariants are regular on the horizon, the irrational power implies that the inside of the horizon is destroyed and the horizon becomes the natural boundary of the spacetime. We demonstrate that this vulnerability of the horizon regularity is an innate part of Einstein theory, and can arise in Einstein theory with minimally coupled matter. However, in fine-tuned theories such as supergravities, the black hole inside is preserved, which may be one of the criteria for a consistent theory of quantum gravity. We also show that the vulnerability occurs in general higher dimensions, which only a few sporadically distributed dimensions can evade.
|
hep-th/0406253
|
Riccardo Argurio
|
Riccardo Argurio
|
Effective superpotential for U(N) with antisymmetric matter
|
22 pages. v2: comment (and a reference) added at the end of section 2
on low rank cases; minor typos corrected. v3: 2 footnotes added with
additional clarifications; version to appear in journal
|
JHEP0409:031,2004
|
10.1088/1126-6708/2004/09/031
| null |
hep-th
| null |
We consider an N=1 U(N) gauge theory with matter in the antisymmetric
representation and its conjugate, with a tree level superpotential containing
at least quartic interactions for these fields. We obtain the effective
glueball superpotential in the classically unbroken case, and show that it has
a non-trivial N-dependence which does not factorize. We also recover additional
contributions starting at order S^N from the dynamics of Sp(0) factors. This
can also be understood by a precise map of this theory to an Sp(2N-2) gauge
theory with antisymmetric matter.
|
[
{
"created": "Mon, 28 Jun 2004 10:12:41 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2004 12:24:25 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Sep 2004 07:10:12 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Argurio",
"Riccardo",
""
]
] |
We consider an N=1 U(N) gauge theory with matter in the antisymmetric representation and its conjugate, with a tree level superpotential containing at least quartic interactions for these fields. We obtain the effective glueball superpotential in the classically unbroken case, and show that it has a non-trivial N-dependence which does not factorize. We also recover additional contributions starting at order S^N from the dynamics of Sp(0) factors. This can also be understood by a precise map of this theory to an Sp(2N-2) gauge theory with antisymmetric matter.
|
2401.04813
|
Nikolaos Liatsos
|
Nikolaos Liatsos
|
${\cal N}=4$ Supergravity with Local Scaling Symmetry in Four Dimensions
|
69 pages, minor revision, reference added, accepted for publication
in JHEP
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the most general four-dimensional ${\cal N}=4$ supergravity
coupled to an arbitrary number $n$ of vector multiplets in which the global
scaling symmetry is gauged, in addition to a subgroup of
$\text{SL}(2,\mathbb{R}) \times \text{SO}(6,n)$. The various gaugings are
parametrized by an embedding tensor built out of $2 \binom{n+6}{3}+4(n+6)$
parameters that satisfy a specific set of quadratic consistency constraints, to
which we provide an explicit solution. We also derive the local supersymmetry
transformation rules and the equations of motion for the four-dimensional
${\cal N}=4$ matter-coupled supergravity with local scaling symmetry. Such
supergravity theories do not possess an action, since the scaling symmetry is
only an on-shell symmetry of the corresponding ungauged theories.
|
[
{
"created": "Tue, 9 Jan 2024 20:47:01 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Apr 2024 14:00:42 GMT",
"version": "v2"
}
] |
2024-04-30
|
[
[
"Liatsos",
"Nikolaos",
""
]
] |
We construct the most general four-dimensional ${\cal N}=4$ supergravity coupled to an arbitrary number $n$ of vector multiplets in which the global scaling symmetry is gauged, in addition to a subgroup of $\text{SL}(2,\mathbb{R}) \times \text{SO}(6,n)$. The various gaugings are parametrized by an embedding tensor built out of $2 \binom{n+6}{3}+4(n+6)$ parameters that satisfy a specific set of quadratic consistency constraints, to which we provide an explicit solution. We also derive the local supersymmetry transformation rules and the equations of motion for the four-dimensional ${\cal N}=4$ matter-coupled supergravity with local scaling symmetry. Such supergravity theories do not possess an action, since the scaling symmetry is only an on-shell symmetry of the corresponding ungauged theories.
|
hep-th/0009079
|
Yu. A. Sitenko
|
Yu. A. Sitenko (Bogolyubov Inst. Theor. Phys., Kiev)
|
Polarization of the Massless Fermionic Vacuum in the Background of a
Singular Magnetic Vortex in 2+1-Dimensional Space-Time
|
18 pages, LaTeX
|
Ukr.J.Phys. 43 (1998) 1513-1525
| null | null |
hep-th
| null |
Effects of the configuration of an external static magnetic field in the form
of a singular vortex on the vacuum of a quantized massless spinor field are
determined. The most general boundary conditions at the punctured singular
point which make the twodimensional Dirac Hamiltonian to be self-adjoint are
employed.
|
[
{
"created": "Mon, 11 Sep 2000 15:03:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sitenko",
"Yu. A.",
"",
"Bogolyubov Inst. Theor. Phys., Kiev"
]
] |
Effects of the configuration of an external static magnetic field in the form of a singular vortex on the vacuum of a quantized massless spinor field are determined. The most general boundary conditions at the punctured singular point which make the twodimensional Dirac Hamiltonian to be self-adjoint are employed.
|
1801.07680
|
Dibakar Roychowdhury
|
Dibakar Roychowdhury
|
On pp wave limit for $ \eta $ deformed superstrings
|
Added Refs, Minor modifications, Version to appear in JHEP
|
JHEP 1805 (2018) 018
|
10.1007/JHEP05(2018)018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, based on the notion of plane wave string/gauge theory duality,
we explore the pp wave limit associated with the bosonic sector of $ \eta $
deformed superstrings propagating in $ (AdS_5 \times S^{5})_{\eta} $. Our
analysis reveals that in the presence of NS-NS and RR fluxes, the pp wave limit
associated to full ABF background satisfies type IIB equations in its standard
form. However, the beta functions as well as the string Hamiltonian start
receiving non trivial curvature corrections as one starts probing beyond pp
wave limit which thereby takes solutions away from the standard type IIB form.
Furthermore, using \textit{uniform} gauge, we also explore the BMN dynamics
associated with short strings and compute the corresponding Hamiltonian
density. Finally, we explore the Penrose limit associated with the HT
background and compute the corresponding stringy spectrum for the bosonic
sector.
|
[
{
"created": "Tue, 23 Jan 2018 18:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2018 13:04:45 GMT",
"version": "v2"
}
] |
2018-05-08
|
[
[
"Roychowdhury",
"Dibakar",
""
]
] |
In this paper, based on the notion of plane wave string/gauge theory duality, we explore the pp wave limit associated with the bosonic sector of $ \eta $ deformed superstrings propagating in $ (AdS_5 \times S^{5})_{\eta} $. Our analysis reveals that in the presence of NS-NS and RR fluxes, the pp wave limit associated to full ABF background satisfies type IIB equations in its standard form. However, the beta functions as well as the string Hamiltonian start receiving non trivial curvature corrections as one starts probing beyond pp wave limit which thereby takes solutions away from the standard type IIB form. Furthermore, using \textit{uniform} gauge, we also explore the BMN dynamics associated with short strings and compute the corresponding Hamiltonian density. Finally, we explore the Penrose limit associated with the HT background and compute the corresponding stringy spectrum for the bosonic sector.
|
hep-th/0205147
|
Kokorelis
|
Christos Kokorelis
|
New Standard Model Vacua from Intersecting Branes
|
32 pages, 1 figure, LaTex, typos corrected
|
JHEP 0209 (2002) 029
|
10.1088/1126-6708/2002/09/029
|
FTUAM-02-10, IFT-UAM/CSIC-02-09
|
hep-th hep-ph
| null |
We construct new D6-brane model vacua (non-supersymmetric) that have at low
energy exactly the standard model spectrum (with right handed neutrinos). The
minimal version of these models requires five stacks of branes. and the
construction is based on D6-branes intersecting at angles in $D = 4$ type
toroidal orientifolds of type I strings. Three U(1)'s become massive through
their couplings to RR couplings and from the two surviving anomaly free U(1)'s,
one is the standard model hypercharge generator while the extra anomaly free
U(1) could be broken from its non-zero couplings to RR fields and also by
triggering a vev to previously massive particles. We suggest that extra
massless U(1)'s should be broken by requiring some intersection to respect N=1
supersymmetry thus supporting the appearance of massless charged singlets at
the supersymmetric intersection. Proton is stable as baryon number is gauged
and its anomalies are cancelled through a generalized Green-Schwarz mechanism.
Neutrinos are of Dirac type with small masses, as in the four stack standard
models of hep-th/0105155, as a result of the existence of a similar PQ
like-symmetry. The models are unique in the sense that they predict the
existence of only one supersymmetric particle, the superpartner of $\nu_R$.
|
[
{
"created": "Wed, 15 May 2002 13:11:19 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Oct 2002 17:00:46 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Kokorelis",
"Christos",
""
]
] |
We construct new D6-brane model vacua (non-supersymmetric) that have at low energy exactly the standard model spectrum (with right handed neutrinos). The minimal version of these models requires five stacks of branes. and the construction is based on D6-branes intersecting at angles in $D = 4$ type toroidal orientifolds of type I strings. Three U(1)'s become massive through their couplings to RR couplings and from the two surviving anomaly free U(1)'s, one is the standard model hypercharge generator while the extra anomaly free U(1) could be broken from its non-zero couplings to RR fields and also by triggering a vev to previously massive particles. We suggest that extra massless U(1)'s should be broken by requiring some intersection to respect N=1 supersymmetry thus supporting the appearance of massless charged singlets at the supersymmetric intersection. Proton is stable as baryon number is gauged and its anomalies are cancelled through a generalized Green-Schwarz mechanism. Neutrinos are of Dirac type with small masses, as in the four stack standard models of hep-th/0105155, as a result of the existence of a similar PQ like-symmetry. The models are unique in the sense that they predict the existence of only one supersymmetric particle, the superpartner of $\nu_R$.
|
1903.11546
|
Andreza Rairis Rodrigues
|
V\'itor Fernandes Barra, Iosif L. Buchbinder, Jarme Gomes Joaquim,
Andreza Rairis Rodrigues, and Ilya L. Shapiro
|
Renormalization of Yukawa model with sterile scalar in curved space-time
|
Extended version, includes more detailed discussions and the
preliminary analysis of inflation. Accepted in EPJC. Small misprints
corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the classical and quantum properties of a sterile scalar field
coupled to $N$ copies of Dirac fermions in an external gravitational field. We
find that the self-interaction scalar potential of a model that is consistent
at the quantum level, includes odd (first and third) powers of a scalar. In
particular, one has to consider, besides the standard non-minimal coupling of
the form $\xi \varphi^2 R$, the new type of non-minimal coupling of the form
$f\varphi R$ with new non-minimal parameter $f$. We study the one-loop
renormalization of such a theory including renormalization of the new
non-minimal coupling. Also, we calculate the one-loop effective potential using
the renormalization group and show how the renormalization group analysis
should be extended compared to the standard expression which was derived in
1980-ies. This conclusion is supported by the direct calculation of effective
potential using normal coordinates and covariant cut-off regularization. The
important features of the classical theory with a sterile scalar are related to
the presence of the qualitatively new terms in the induced action of gravity,
coming from the odd terms. We show that this new feature of the theory may have
phenomenologically relevant consequences, both in the low-energy gravitational
physics and at the high energies, corresponding to inflation.
|
[
{
"created": "Wed, 27 Mar 2019 16:57:45 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2019 21:44:29 GMT",
"version": "v2"
},
{
"created": "Thu, 23 May 2019 21:42:56 GMT",
"version": "v3"
}
] |
2019-05-27
|
[
[
"Barra",
"Vítor Fernandes",
""
],
[
"Buchbinder",
"Iosif L.",
""
],
[
"Joaquim",
"Jarme Gomes",
""
],
[
"Rodrigues",
"Andreza Rairis",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] |
We explore the classical and quantum properties of a sterile scalar field coupled to $N$ copies of Dirac fermions in an external gravitational field. We find that the self-interaction scalar potential of a model that is consistent at the quantum level, includes odd (first and third) powers of a scalar. In particular, one has to consider, besides the standard non-minimal coupling of the form $\xi \varphi^2 R$, the new type of non-minimal coupling of the form $f\varphi R$ with new non-minimal parameter $f$. We study the one-loop renormalization of such a theory including renormalization of the new non-minimal coupling. Also, we calculate the one-loop effective potential using the renormalization group and show how the renormalization group analysis should be extended compared to the standard expression which was derived in 1980-ies. This conclusion is supported by the direct calculation of effective potential using normal coordinates and covariant cut-off regularization. The important features of the classical theory with a sterile scalar are related to the presence of the qualitatively new terms in the induced action of gravity, coming from the odd terms. We show that this new feature of the theory may have phenomenologically relevant consequences, both in the low-energy gravitational physics and at the high energies, corresponding to inflation.
|
1810.01444
|
Ping Gao
|
Ping Gao and Hong Liu
|
Regenesis and quantum traversable wormholes
| null | null |
10.1007/JHEP10(2019)048
| null |
hep-th cond-mat.stat-mech gr-qc nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent gravity discussions of a traversable wormhole indicate that in
holographic systems signals generated by a source could reappear long after
they have dissipated, with the need of only performing some simple operations.
In this paper we argue the phenomenon, to which we refer as "regenesis", is
universal in general quantum chaotic many-body systems, and elucidate its
underlying physics. The essential elements behind the phenomenon are: (i)
scrambling which in a chaotic system makes out-of-time-ordered correlation
functions (OTOCs) vanish at large times; (ii) the entanglement structure of the
state of the system. The latter aspect also implies that the regenesis
phenomenon requires fine tuning of the initial state. Compared to other
manifestations of quantum chaos such as the initial growth of OTOCs which deals
with early times, and a random matrix-type energy spectrum which reflects very
large time behavior, regenesis concerns with intermediate times, of order the
scrambling time of a system. We also study the phenomenon in detail in general
two-dimensional conformal field theories in the large central charge limit, and
highlight some interesting features including a resonant enhancement of
regenesis signals near the scrambling time and their oscillations in coupling.
Finally, we discuss gravity implications of the phenomenon for systems with a
gravity dual, arguing that there exist regimes for which traversability of a
wormhole is quantum in nature, i.e. cannot be associated with a semi-classical
spacetime causal structure.
|
[
{
"created": "Tue, 2 Oct 2018 18:25:54 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2019 03:06:34 GMT",
"version": "v2"
}
] |
2019-10-23
|
[
[
"Gao",
"Ping",
""
],
[
"Liu",
"Hong",
""
]
] |
Recent gravity discussions of a traversable wormhole indicate that in holographic systems signals generated by a source could reappear long after they have dissipated, with the need of only performing some simple operations. In this paper we argue the phenomenon, to which we refer as "regenesis", is universal in general quantum chaotic many-body systems, and elucidate its underlying physics. The essential elements behind the phenomenon are: (i) scrambling which in a chaotic system makes out-of-time-ordered correlation functions (OTOCs) vanish at large times; (ii) the entanglement structure of the state of the system. The latter aspect also implies that the regenesis phenomenon requires fine tuning of the initial state. Compared to other manifestations of quantum chaos such as the initial growth of OTOCs which deals with early times, and a random matrix-type energy spectrum which reflects very large time behavior, regenesis concerns with intermediate times, of order the scrambling time of a system. We also study the phenomenon in detail in general two-dimensional conformal field theories in the large central charge limit, and highlight some interesting features including a resonant enhancement of regenesis signals near the scrambling time and their oscillations in coupling. Finally, we discuss gravity implications of the phenomenon for systems with a gravity dual, arguing that there exist regimes for which traversability of a wormhole is quantum in nature, i.e. cannot be associated with a semi-classical spacetime causal structure.
|
hep-th/9908005
|
Bernard de Wit
|
Bernard de Wit and Ivan Herger
|
Anti-de Sitter Supersymmetry
|
Lectures presented by B. de Wit at the Winter School of Theoretical
Physics, Polanica, Poland, February 1999. 23 pp., LateX file, requires
packages latexsym, amsfonts, cl2emult.cls
|
Lect.Notes Phys. 541 (2000) 79-100
| null |
THU-99/21
|
hep-th
| null |
We give a pedagogical introduction to certain aspects of supersymmetric field
theories in anti-de Sitter space. Among them are the presence of masslike terms
in massless wave equations, irreducible unitary representations and the
phenomenon of multiplet shortening.
|
[
{
"created": "Sun, 1 Aug 1999 15:47:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Wit",
"Bernard",
""
],
[
"Herger",
"Ivan",
""
]
] |
We give a pedagogical introduction to certain aspects of supersymmetric field theories in anti-de Sitter space. Among them are the presence of masslike terms in massless wave equations, irreducible unitary representations and the phenomenon of multiplet shortening.
|
2010.05573
|
Sylvain Lacroix
|
Gleb Arutyunov, Cristian Bassi, Sylvain Lacroix
|
New integrable coset sigma models
|
43 pages. v2: published version, minor changes and references added
|
JHEP 03 (2021) 062
|
10.1007/JHEP03(2021)062
|
ZMP-HH/20-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the general framework of affine Gaudin models, we construct a new
class of integrable sigma models. They are defined on a coset of the direct
product of $N$ copies of a Lie group over some diagonal subgroup and they
depend on $3N-2$ free parameters. For $N=1$ the corresponding model coincides
with the well-known symmetric space sigma model. Starting from the Hamiltonian
formulation, we derive the Lagrangian for the $N=2$ case and show that it
admits a remarkably simple form in terms of the classical $\mathcal{R}$-matrix
underlying the integrability of these models. We conjecture that a similar form
of the Lagrangian holds for arbitrary $N$. Specifying our general construction
to the case of $SU(2)$ and $N=2$, and eliminating one of the parameters, we
find a new three-parametric integrable model with the manifold $T^{1,1}$ as its
target space. We further comment on the connection of our results with those
existing in the literature.
|
[
{
"created": "Mon, 12 Oct 2020 09:50:52 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Mar 2021 12:06:08 GMT",
"version": "v2"
}
] |
2021-03-09
|
[
[
"Arutyunov",
"Gleb",
""
],
[
"Bassi",
"Cristian",
""
],
[
"Lacroix",
"Sylvain",
""
]
] |
By using the general framework of affine Gaudin models, we construct a new class of integrable sigma models. They are defined on a coset of the direct product of $N$ copies of a Lie group over some diagonal subgroup and they depend on $3N-2$ free parameters. For $N=1$ the corresponding model coincides with the well-known symmetric space sigma model. Starting from the Hamiltonian formulation, we derive the Lagrangian for the $N=2$ case and show that it admits a remarkably simple form in terms of the classical $\mathcal{R}$-matrix underlying the integrability of these models. We conjecture that a similar form of the Lagrangian holds for arbitrary $N$. Specifying our general construction to the case of $SU(2)$ and $N=2$, and eliminating one of the parameters, we find a new three-parametric integrable model with the manifold $T^{1,1}$ as its target space. We further comment on the connection of our results with those existing in the literature.
|
1804.07296
|
Yi-Nan Wang
|
Yi-Nan Wang, Zhibai Zhang
|
Learning non-Higgsable gauge groups in 4D F-theory
|
50 pages, 18 figures, 20 tables
| null |
10.1007/JHEP08(2018)009
| null |
hep-th physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply machine learning techniques to solve a specific classification
problem in 4D F-theory. For a divisor $D$ on a given complex threefold base, we
want to read out the non-Higgsable gauge group on it using local geometric
information near $D$. The input features are the triple intersection numbers
among divisors near $D$ and the output label is the non-Higgsable gauge group.
We use decision tree to solve this problem and achieved 85%-98% out-of-sample
accuracies for different classes of divisors, where the data sets are generated
from toric threefold bases without (4,6) curves. We have explicitly generated a
large number of analytic rules directly from the decision tree and proved a
small number of them. As a crosscheck, we applied these decision trees on bases
with (4,6) curves as well and achieved high accuracies. Additionally, we have
trained a decision tree to distinguish toric (4,6) curves as well. Finally, we
present an application of these analytic rules to construct local base
configurations with interesting gauge groups such as SU(3).
|
[
{
"created": "Thu, 19 Apr 2018 17:59:45 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2018 21:50:07 GMT",
"version": "v2"
},
{
"created": "Tue, 1 May 2018 18:28:09 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Jun 2018 06:11:35 GMT",
"version": "v4"
}
] |
2018-08-29
|
[
[
"Wang",
"Yi-Nan",
""
],
[
"Zhang",
"Zhibai",
""
]
] |
We apply machine learning techniques to solve a specific classification problem in 4D F-theory. For a divisor $D$ on a given complex threefold base, we want to read out the non-Higgsable gauge group on it using local geometric information near $D$. The input features are the triple intersection numbers among divisors near $D$ and the output label is the non-Higgsable gauge group. We use decision tree to solve this problem and achieved 85%-98% out-of-sample accuracies for different classes of divisors, where the data sets are generated from toric threefold bases without (4,6) curves. We have explicitly generated a large number of analytic rules directly from the decision tree and proved a small number of them. As a crosscheck, we applied these decision trees on bases with (4,6) curves as well and achieved high accuracies. Additionally, we have trained a decision tree to distinguish toric (4,6) curves as well. Finally, we present an application of these analytic rules to construct local base configurations with interesting gauge groups such as SU(3).
|
2202.05104
|
Tristan H\"ubsch
|
Per Berglund, De-Chang Dai, Douglas Edmonds, Yang-Hui He, Tristan
Hubsch, Vishnu Jejjala, Michael J. Kavic, Djordje Minic, Samuel Powers, John
H. Simonetti, Dejan Stojkovic and Tatsu Takeuchi
|
Quantum Gravity and Phenomenology: Dark Matter, Dark Energy, Vacuum
Selection, Emergent Spacetime, and Wormholes
|
Contribution to Snowmass 2022 (originally "Snowmass 2021")
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the relevance of quantum gravity to the frontier questions in high
energy phenomenology: the problems of dark matter, dark energy, and vacuum
selection as well as the problems of emergent spacetime and wormholes. Dark
matter and dark energy phenomenology, and the problem of vacuum selection are
discussed within the context of string theory as a model of quantum gravity.
Emergent spacetime and wormholes are discussed in a more general context of
effective theories of quantum gravity.
|
[
{
"created": "Thu, 10 Feb 2022 15:45:03 GMT",
"version": "v1"
}
] |
2022-02-11
|
[
[
"Berglund",
"Per",
""
],
[
"Dai",
"De-Chang",
""
],
[
"Edmonds",
"Douglas",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Hubsch",
"Tristan",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Kavic",
"Michael J.",
""
],
[
"Minic",
"Djordje",
""
],
[
"Powers",
"Samuel",
""
],
[
"Simonetti",
"John H.",
""
],
[
"Stojkovic",
"Dejan",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] |
We discuss the relevance of quantum gravity to the frontier questions in high energy phenomenology: the problems of dark matter, dark energy, and vacuum selection as well as the problems of emergent spacetime and wormholes. Dark matter and dark energy phenomenology, and the problem of vacuum selection are discussed within the context of string theory as a model of quantum gravity. Emergent spacetime and wormholes are discussed in a more general context of effective theories of quantum gravity.
|
1812.08183
|
Ignacio Salazar
|
Horacio Casini, Ignacio Salazar Landea, Gonzalo Torroba
|
Irreversibility in quantum field theories with boundaries
|
19 pp, 1 fig
| null |
10.1007/JHEP04(2019)166
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study conformal field theories with boundaries, and their boundary
renormalization group (RG) flows, using methods from quantum information
theory. Positivity of the relative entropy, together with unitarity and Lorentz
invariance, give rise to bounds that characterize the irreversibility of such
flows. This generalizes the recently proved entropic $g$-theorem to higher
dimensions. In $2+1$ dimensions with a boundary, we prove the entropic
$b$-theorem -- the decrease of the two-dimensional Weyl anomaly under boundary
RG flows. In higher dimensions, the bound implies that the leading area
coefficient of the entanglement entropy induced by the defect decreases along
the flow. Our proof unifies these properties, and provides an
information-theoretic interpretation in terms of the distinguishability between
the short distance and long distance states. Finally, we establish a sum rule
for the change in the area term in theories with boundaries, which could have
implications for models with localized gravity.
|
[
{
"created": "Wed, 19 Dec 2018 19:00:05 GMT",
"version": "v1"
}
] |
2019-05-22
|
[
[
"Casini",
"Horacio",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Torroba",
"Gonzalo",
""
]
] |
We study conformal field theories with boundaries, and their boundary renormalization group (RG) flows, using methods from quantum information theory. Positivity of the relative entropy, together with unitarity and Lorentz invariance, give rise to bounds that characterize the irreversibility of such flows. This generalizes the recently proved entropic $g$-theorem to higher dimensions. In $2+1$ dimensions with a boundary, we prove the entropic $b$-theorem -- the decrease of the two-dimensional Weyl anomaly under boundary RG flows. In higher dimensions, the bound implies that the leading area coefficient of the entanglement entropy induced by the defect decreases along the flow. Our proof unifies these properties, and provides an information-theoretic interpretation in terms of the distinguishability between the short distance and long distance states. Finally, we establish a sum rule for the change in the area term in theories with boundaries, which could have implications for models with localized gravity.
|
1512.04532
|
Saran Tunyasuvunakool
|
Pau Figueras, Markus Kunesch, and Saran Tunyasuvunakool
|
End Point of Black Ring Instabilities and the Weak Cosmic Censorship
Conjecture
|
Final published version: main paper of 5 pages and 2 figures +
supplemental material of 3 pages and 3 figures
|
Phys. Rev. Lett. 116, 071102 (2016)
|
10.1103/PhysRevLett.116.071102
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We produce the first concrete evidence that violation of the weak cosmic
censorship conjecture can occur in asymptotically flat spaces of five
dimensions by numerically evolving perturbed black rings. For certain thin
rings, we identify a new, elastic-type instability dominating the evolution,
causing the system to settle to a spherical black hole. However, for
sufficiently thin rings the Gregory-Laflamme mode is dominant, and the
instability unfolds similarly to that of black strings, where the horizon
develops a structure of bulges connected by necks which become ever thinner
over time.
|
[
{
"created": "Mon, 14 Dec 2015 21:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2016 18:39:57 GMT",
"version": "v2"
}
] |
2016-02-24
|
[
[
"Figueras",
"Pau",
""
],
[
"Kunesch",
"Markus",
""
],
[
"Tunyasuvunakool",
"Saran",
""
]
] |
We produce the first concrete evidence that violation of the weak cosmic censorship conjecture can occur in asymptotically flat spaces of five dimensions by numerically evolving perturbed black rings. For certain thin rings, we identify a new, elastic-type instability dominating the evolution, causing the system to settle to a spherical black hole. However, for sufficiently thin rings the Gregory-Laflamme mode is dominant, and the instability unfolds similarly to that of black strings, where the horizon develops a structure of bulges connected by necks which become ever thinner over time.
|
0709.0973
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant
|
14 pages, no figures
|
Phys.Lett.B652:135-140,2007
|
10.1016/j.physletb.2007.06.063
|
CSULB-PA-07-6
|
hep-th
| null |
It has been recently shown that Nambu-Goto action can be re-expressed in
terms of Cayley's hyperdeterminant with the manifest SL(2,R) X SL(2,R) X
SL(2,R) symmetry. In the present paper, we show that the same feature is shared
by Green-Schwarz sigma-model for N=2 superstring whose target space-time is
D=2+2. When its zweibein field is eliminated from the action, it contains the
Nambu-Goto action which is nothing but the square root of Cayley's
hyperdeterminant of the pull-back in superspace \sqrt{\hyperdet(\Pi_{i
\a\Dot\a})} manifestly invariant under SL(2,R) X SL(2,R) X SL(2,R). The target
space-time D=2+2 can accommodate self-dual supersymmetric Yang-Mills theory.
Our action has also fermionic kappa-symmetry, satisfying the criterion for its
light-cone equivalence to Neveu-Schwarz-Ramond formulation for N=2 superstring.
|
[
{
"created": "Fri, 7 Sep 2007 00:00:48 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
It has been recently shown that Nambu-Goto action can be re-expressed in terms of Cayley's hyperdeterminant with the manifest SL(2,R) X SL(2,R) X SL(2,R) symmetry. In the present paper, we show that the same feature is shared by Green-Schwarz sigma-model for N=2 superstring whose target space-time is D=2+2. When its zweibein field is eliminated from the action, it contains the Nambu-Goto action which is nothing but the square root of Cayley's hyperdeterminant of the pull-back in superspace \sqrt{\hyperdet(\Pi_{i \a\Dot\a})} manifestly invariant under SL(2,R) X SL(2,R) X SL(2,R). The target space-time D=2+2 can accommodate self-dual supersymmetric Yang-Mills theory. Our action has also fermionic kappa-symmetry, satisfying the criterion for its light-cone equivalence to Neveu-Schwarz-Ramond formulation for N=2 superstring.
|
2205.05215
|
Pramod Shukla
|
Pramod Shukla
|
Classifying divisor topologies for string phenomenology
|
53 pages; v2: minor updates with typos fixed, published version
|
JHEP 12 (2022) 055
|
10.1007/JHEP12(2022)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we present a pheno-inspired classification for the divisor
topologies of the favorable Calabi Yau (CY) threefolds with $1 \leq h^{1,1}(CY)
\leq 5$ arising from the four-dimensional reflexive polytopes of the
Kreuzer-Skarke database. Based on some empirical observations we conjecture
that the topologies of the so-called coordinate divisors can be classified into
two categories: (i). $\chi_{_h}(D) \geq 1$ with Hodge numbers given by
$\{h^{0,0} = 1, \, h^{1,0} = 0, \, h^{2,0} = \chi_{_h}(D) -1, \, h^{1,1} =
\chi(D) - 2 \chi_{_h}(D) \}$ and (ii). $\chi_{_h}(D) \leq 1$ with Hodge numbers
given by $\{h^{0,0} = 1, \, h^{1,0} = 1 - \chi_{_h}(D), \, h^{2,0} = 0, \,
h^{1,1} = \chi(D) + 2 - 4 \chi_{_h}(D)\}$, where $\chi_{_h}(D)$ denotes the
Arithmetic genus while $\chi(D)$ denotes the Euler characteristic of the
divisor $D$. We present the Hodge numbers of around 140000 coordinate divisors
corresponding to all the CY threefolds with $1 \leq h^{1,1}(CY) \leq 5$ which
corresponds to a total of nearly 16000 distinct CY geometries. Subsequently we
argue that our conjecture can help in ``bypassing" the need of cohomCalg for
computing Hodge numbers of coordinate divisors, and hence can be significantly
useful for studying the divisor topologies of CY threefolds with higher
$h^{1,1}$ for which cohomCalg gets too slow and sometimes even breaks as well.
We also demonstrate how these scanning results can be directly used for
phenomenological model building, e.g. in estimating the $D3$-brane tadpole
charge (under reflection involutions) which is a central ingredient for
constructing explicit global models due to several different reasons/interests
such as the de-Sitter uplifting through anti-$D3$ brane and (flat) flux vacua
searches.
|
[
{
"created": "Wed, 11 May 2022 00:20:19 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 17:16:33 GMT",
"version": "v2"
}
] |
2023-03-09
|
[
[
"Shukla",
"Pramod",
""
]
] |
In this article we present a pheno-inspired classification for the divisor topologies of the favorable Calabi Yau (CY) threefolds with $1 \leq h^{1,1}(CY) \leq 5$ arising from the four-dimensional reflexive polytopes of the Kreuzer-Skarke database. Based on some empirical observations we conjecture that the topologies of the so-called coordinate divisors can be classified into two categories: (i). $\chi_{_h}(D) \geq 1$ with Hodge numbers given by $\{h^{0,0} = 1, \, h^{1,0} = 0, \, h^{2,0} = \chi_{_h}(D) -1, \, h^{1,1} = \chi(D) - 2 \chi_{_h}(D) \}$ and (ii). $\chi_{_h}(D) \leq 1$ with Hodge numbers given by $\{h^{0,0} = 1, \, h^{1,0} = 1 - \chi_{_h}(D), \, h^{2,0} = 0, \, h^{1,1} = \chi(D) + 2 - 4 \chi_{_h}(D)\}$, where $\chi_{_h}(D)$ denotes the Arithmetic genus while $\chi(D)$ denotes the Euler characteristic of the divisor $D$. We present the Hodge numbers of around 140000 coordinate divisors corresponding to all the CY threefolds with $1 \leq h^{1,1}(CY) \leq 5$ which corresponds to a total of nearly 16000 distinct CY geometries. Subsequently we argue that our conjecture can help in ``bypassing" the need of cohomCalg for computing Hodge numbers of coordinate divisors, and hence can be significantly useful for studying the divisor topologies of CY threefolds with higher $h^{1,1}$ for which cohomCalg gets too slow and sometimes even breaks as well. We also demonstrate how these scanning results can be directly used for phenomenological model building, e.g. in estimating the $D3$-brane tadpole charge (under reflection involutions) which is a central ingredient for constructing explicit global models due to several different reasons/interests such as the de-Sitter uplifting through anti-$D3$ brane and (flat) flux vacua searches.
|
hep-th/0308195
|
Stephen Morris
|
Andre Lukas and Stephen Morris
|
Rolling G_2 Moduli
|
17 pages, Latex
|
JHEP 0401 (2004) 045
|
10.1088/1126-6708/2004/01/045
|
SUSX-TH/03-010
|
hep-th
| null |
We study the time evolution of freely rolling moduli in the context of
M-theory on a G_2 manifold. This free evolution approximates the correct
dynamics of the system at sufficiently large values of the moduli when effects
from non-perturbative potentials and flux are negligible. Moduli fall into two
classes, namely bulk moduli and blow-up moduli. We obtain a number of
non-trivial solutions for the time-evolution of these moduli. As a generic
feature, we find the blow-up moduli always expand asymptotically at early and
late time.
|
[
{
"created": "Thu, 28 Aug 2003 11:14:33 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Lukas",
"Andre",
""
],
[
"Morris",
"Stephen",
""
]
] |
We study the time evolution of freely rolling moduli in the context of M-theory on a G_2 manifold. This free evolution approximates the correct dynamics of the system at sufficiently large values of the moduli when effects from non-perturbative potentials and flux are negligible. Moduli fall into two classes, namely bulk moduli and blow-up moduli. We obtain a number of non-trivial solutions for the time-evolution of these moduli. As a generic feature, we find the blow-up moduli always expand asymptotically at early and late time.
|
1510.05496
|
Wenliang Li
|
Wenliang Li
|
Unifying Ghost-Free Lorentz-Invariant Lagrangians
|
15 pages, two columns, v2; references added, typos corrected;
discussion improved about graviton kinetic terms
| null | null |
CCQCN-2015-109
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the details of the novel framework for Lagrangian field theories
that are Lorentz-invariant and lead to at most second order equations of
motion. The use of antisymmetric structure is of crucial importance. The
general ghost-free Lagrangians are constructed and then translated into the
language of differential forms. The ghost-freeness has a geometric nature. A
novel duality is proposed which generalizes the Hodge duality in Maxwell's
theory. We discuss how the well-established theories are reformulated and
propose many new theories.
|
[
{
"created": "Mon, 19 Oct 2015 14:40:58 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Oct 2015 15:46:32 GMT",
"version": "v2"
}
] |
2015-10-23
|
[
[
"Li",
"Wenliang",
""
]
] |
We present the details of the novel framework for Lagrangian field theories that are Lorentz-invariant and lead to at most second order equations of motion. The use of antisymmetric structure is of crucial importance. The general ghost-free Lagrangians are constructed and then translated into the language of differential forms. The ghost-freeness has a geometric nature. A novel duality is proposed which generalizes the Hodge duality in Maxwell's theory. We discuss how the well-established theories are reformulated and propose many new theories.
|
hep-th/9811192
|
Ehud Schreiber
|
Y. Kinar, E. Schreiber, J. Sonnenschein
|
$Q \bar{Q}$ Potential from Strings in Curved Spacetime - Classical
Results
|
Latex2e, 1+25 pages, 3 figures
|
Nucl.Phys. B566 (2000) 103-125
| null |
TAUP-2536-98
|
hep-th
| null |
We compute the leading behaviour of the quark anti-quark potential from a
generalized Nambu-Goto action associated with a curved space-time having an
"extra dimension". The extra dimension can be the radial coordinate in the
AdS/CFT correspondence, the Liouville field in Polyakov's approach, or an
internal dimension in MQCD. In particular, we derive the condition for
confinement, and in the case it occurs we find the string tension and the
correction to the linear potential.
|
[
{
"created": "Sun, 22 Nov 1998 11:05:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kinar",
"Y.",
""
],
[
"Schreiber",
"E.",
""
],
[
"Sonnenschein",
"J.",
""
]
] |
We compute the leading behaviour of the quark anti-quark potential from a generalized Nambu-Goto action associated with a curved space-time having an "extra dimension". The extra dimension can be the radial coordinate in the AdS/CFT correspondence, the Liouville field in Polyakov's approach, or an internal dimension in MQCD. In particular, we derive the condition for confinement, and in the case it occurs we find the string tension and the correction to the linear potential.
|
1312.6559
|
Dmitri Gal'tsov
|
Evgeny A. Davydov and Dmitry V. Gal'tsov
|
Cosmology with non-minimally coupled Yang--Mills field
|
10 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss cosmological model with homogeneous and isotropic Yang-Mills field
non-minimally coupled to gravity through an effective mass term. In this model
conformal symmetry is violated which leads to possibility of inflationary
expansion. Parameters of non-minimal coupling have relatively ``natural''
values in the regime of sufficiently long acceleration stage.
|
[
{
"created": "Mon, 23 Dec 2013 14:41:22 GMT",
"version": "v1"
}
] |
2013-12-24
|
[
[
"Davydov",
"Evgeny A.",
""
],
[
"Gal'tsov",
"Dmitry V.",
""
]
] |
We discuss cosmological model with homogeneous and isotropic Yang-Mills field non-minimally coupled to gravity through an effective mass term. In this model conformal symmetry is violated which leads to possibility of inflationary expansion. Parameters of non-minimal coupling have relatively ``natural'' values in the regime of sufficiently long acceleration stage.
|
1701.07140
|
Goro Ishiki
|
Yuhma Asano, Goro Ishiki, Shinji Shimasaki and Seiji Terashima
|
On the transverse M5-branes in matrix theory
|
4 pages, v2: A major revision was made in the interpretation but the
conclusion is essentially unchanged
|
Phys. Rev. D 96, 126003 (2017)
|
10.1103/PhysRevD.96.126003
|
DIAS-STP-16-14, UTHEP-701, YITP-16-149
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been a long-standing problem how the transverse M5-branes are
described in the matrix-model formulations of M-theory. We consider this
problem for M-theory on the maximally supersymmetric pp-wave geometry, which
admits transverse spherical M5-branes with zero light-cone energy. By using the
localization, we directly analyze the strong coupling region of the
corresponding matrix theory called the plane wave matrix model (PWMM). Under
the assumption that the low energy modes of the scalar fields in PWMM become
mutually commuting in the strong coupling region, we show that the eigenvalue
density of the $SO(6)$ scalars in the low energy region exactly agrees with the
shape of the spherical M5-branes in the decoupling limit. This result gives a
strong evidence that the transverse M5-branes are indeed contained in the
matrix theory and the theory realizes a second quantization of the M-theory.
|
[
{
"created": "Wed, 25 Jan 2017 02:15:22 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Apr 2017 14:27:21 GMT",
"version": "v2"
}
] |
2017-12-13
|
[
[
"Asano",
"Yuhma",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Shimasaki",
"Shinji",
""
],
[
"Terashima",
"Seiji",
""
]
] |
It has been a long-standing problem how the transverse M5-branes are described in the matrix-model formulations of M-theory. We consider this problem for M-theory on the maximally supersymmetric pp-wave geometry, which admits transverse spherical M5-branes with zero light-cone energy. By using the localization, we directly analyze the strong coupling region of the corresponding matrix theory called the plane wave matrix model (PWMM). Under the assumption that the low energy modes of the scalar fields in PWMM become mutually commuting in the strong coupling region, we show that the eigenvalue density of the $SO(6)$ scalars in the low energy region exactly agrees with the shape of the spherical M5-branes in the decoupling limit. This result gives a strong evidence that the transverse M5-branes are indeed contained in the matrix theory and the theory realizes a second quantization of the M-theory.
|
hep-th/9410017
|
Jens Boeckenhauer
|
Jens B\"ockenhauer
|
Decomposition of Representations of CAR Induced by Bogoliubov
Endomorphisms
|
14 pages, Latex, DESY 94-173
| null | null | null |
hep-th
| null |
In a Fock representation, a non-surjective Bogoliubov transformation of CAR
leads to a reducible representation. For the case that the corresponding
Bogoliubov operator has finite corank, the decomposition into irreducible
subrepresentations is clarified. In particular, it turns out that the number of
appearing subrepresentations is completely determined by the corank.
|
[
{
"created": "Tue, 4 Oct 1994 11:57:55 GMT",
"version": "v1"
}
] |
2016-08-14
|
[
[
"Böckenhauer",
"Jens",
""
]
] |
In a Fock representation, a non-surjective Bogoliubov transformation of CAR leads to a reducible representation. For the case that the corresponding Bogoliubov operator has finite corank, the decomposition into irreducible subrepresentations is clarified. In particular, it turns out that the number of appearing subrepresentations is completely determined by the corank.
|
2203.04255
|
Akshay Yelleshpur Srikant
|
Yangrui Hu, Luke Lippstreu, Marcus Spradlin, Akshay Yelleshpur
Srikant, Anastasia Volovich
|
Four-point correlators of light-ray operators in CCFT
| null | null |
10.1007/JHEP07(2022)104
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the four-point correlator of two gluon light-ray operators and two
gluon primaries from the four-gluon celestial amplitude in $(2,2)$ signature
spacetime. The correlator is non-distributional and allows us to verify that
light-ray operators appear in the OPE of two gluon primaries. We also carry out
a conformal block decomposition of the terms involving the exchange of gluon
operators.
|
[
{
"created": "Tue, 8 Mar 2022 18:17:18 GMT",
"version": "v1"
}
] |
2022-08-10
|
[
[
"Hu",
"Yangrui",
""
],
[
"Lippstreu",
"Luke",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Srikant",
"Akshay Yelleshpur",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We compute the four-point correlator of two gluon light-ray operators and two gluon primaries from the four-gluon celestial amplitude in $(2,2)$ signature spacetime. The correlator is non-distributional and allows us to verify that light-ray operators appear in the OPE of two gluon primaries. We also carry out a conformal block decomposition of the terms involving the exchange of gluon operators.
|
1307.6079
|
Nirmalendu Acharyya
|
Nirmalendu Acharyya and Sachindeo Vaidya
|
Fuzzy Conifold $Y_F^6$ and Monopoles on $S_F^2\times S_F^2$
| null |
International Journal of Modern Physics A Vol. 29, No. 01 (2014)
|
10.1142/S0217751X14500067
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we construct the fuzzy (finite dimensional) analogues of the
conifold $Y^6$ and its base $X^5$. We show that fuzzy $X^5$ is (the analogue
of) a principal U(1) bundle over fuzzy spheres $S^2_F \times S^2_F$ and
explicitly construct the associated monopole bundles. In particular our
construction provides an explicit discretization of the spaces
$T^{\kappa,\kappa}$ and $T^{\kappa,0}$.
|
[
{
"created": "Tue, 23 Jul 2013 13:52:00 GMT",
"version": "v1"
}
] |
2014-01-16
|
[
[
"Acharyya",
"Nirmalendu",
""
],
[
"Vaidya",
"Sachindeo",
""
]
] |
In this article, we construct the fuzzy (finite dimensional) analogues of the conifold $Y^6$ and its base $X^5$. We show that fuzzy $X^5$ is (the analogue of) a principal U(1) bundle over fuzzy spheres $S^2_F \times S^2_F$ and explicitly construct the associated monopole bundles. In particular our construction provides an explicit discretization of the spaces $T^{\kappa,\kappa}$ and $T^{\kappa,0}$.
|
1309.0084
|
G\'abor Zsolt T\'oth
|
Gabor Zsolt Toth
|
Higher spin fields with reversed spin-statistics relation
|
33 pages, LaTeX, final version
|
Int. J. Mod. Phys. A 29 (2014) 1450129
|
10.1142/S0217751X14501292
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A construction of massive free fields with arbitrary spin and reversed
spin-statistics relation is presented. The main idea of the construction is to
consider fields that transform according to representations of the Lorentz
group that are doubled in comparison with the representations according to
which normal (physical) fields transform. This allows the definition of
opposite commutation properties for these fields, while the spin of the
particles they describe remains unchanged. The correspondence established by
the construction between fields obeying normal and reversed spin-statistics
relation makes it possible to express e.g. the polarization states,
(anti)commutators, or Feynman propagators of the latter fields in terms of
those of the normal fields to which they correspond. The cases of the scalar
and Dirac fields are discussed in additional detail.
|
[
{
"created": "Sat, 31 Aug 2013 09:32:09 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Oct 2013 16:19:19 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Sep 2015 21:46:44 GMT",
"version": "v3"
}
] |
2015-09-10
|
[
[
"Toth",
"Gabor Zsolt",
""
]
] |
A construction of massive free fields with arbitrary spin and reversed spin-statistics relation is presented. The main idea of the construction is to consider fields that transform according to representations of the Lorentz group that are doubled in comparison with the representations according to which normal (physical) fields transform. This allows the definition of opposite commutation properties for these fields, while the spin of the particles they describe remains unchanged. The correspondence established by the construction between fields obeying normal and reversed spin-statistics relation makes it possible to express e.g. the polarization states, (anti)commutators, or Feynman propagators of the latter fields in terms of those of the normal fields to which they correspond. The cases of the scalar and Dirac fields are discussed in additional detail.
|
hep-th/9410094
|
Karl Strobl
|
M. Hindmarsh and K. Strobl
|
Statistical Properties of Strings
|
20 pages, 8 figures (uuencoded) appended, DAMTP-94-56, SUSX-TP-94-72
|
Nucl.Phys. B437 (1995) 471-488
|
10.1016/0550-3213(94)00593-4
| null |
hep-th astro-ph cond-mat hep-lat hep-ph
| null |
We investigate numerically the configurational statistics of strings. The
algorithm models an ensemble of global $U(1)$ cosmic strings, or equivalently
vortices in superfluid $^4$He. We use a new method which avoids the
specification of boundary conditions on the lattice. We therefore do not have
the artificial distinction between short and long string loops or a `second
phase' in the string network statistics associated with strings winding around
a toroidal lattice. Our lattice is also tetrahedral, which avoids ambiguities
associated with the cubic lattices of previous work. We find that the
percentage of infinite string is somewhat lower than on cubic lattices, 63\%
instead of 80\%. We also investigate the Hagedorn transition, at which infinite
strings percolate, controlling the string density by rendering one of the
equilibrium states more probable. We measure the percolation threshold, the
critical exponent associated with the divergence of a suitably defined
susceptibility of the string loops, and that associated with the divergence of
the correlation length.
|
[
{
"created": "Thu, 13 Oct 1994 11:49:08 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hindmarsh",
"M.",
""
],
[
"Strobl",
"K.",
""
]
] |
We investigate numerically the configurational statistics of strings. The algorithm models an ensemble of global $U(1)$ cosmic strings, or equivalently vortices in superfluid $^4$He. We use a new method which avoids the specification of boundary conditions on the lattice. We therefore do not have the artificial distinction between short and long string loops or a `second phase' in the string network statistics associated with strings winding around a toroidal lattice. Our lattice is also tetrahedral, which avoids ambiguities associated with the cubic lattices of previous work. We find that the percentage of infinite string is somewhat lower than on cubic lattices, 63\% instead of 80\%. We also investigate the Hagedorn transition, at which infinite strings percolate, controlling the string density by rendering one of the equilibrium states more probable. We measure the percolation threshold, the critical exponent associated with the divergence of a suitably defined susceptibility of the string loops, and that associated with the divergence of the correlation length.
|
0812.2053
|
Laurence G. Yaffe
|
Paul M. Chesler and Laurence G. Yaffe
|
Horizon formation and far-from-equilibrium isotropization in
supersymmetric Yang-Mills plasma
|
4 pages, typos corrected, published version
|
Phys.Rev.Lett.102:211601,2009
|
10.1103/PhysRevLett.102.211601
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using gauge/gravity duality, we study the creation and evolution of
anisotropic, homogeneous strongly coupled $\mathcal N=4$ supersymmetric
Yang-Mills plasma. In the dual gravitational description, this corresponds to
horizon formation in a geometry driven to be anisotropic by a time-dependent
change in boundary conditions.
|
[
{
"created": "Wed, 10 Dec 2008 23:34:03 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2009 23:55:17 GMT",
"version": "v2"
}
] |
2009-07-21
|
[
[
"Chesler",
"Paul M.",
""
],
[
"Yaffe",
"Laurence G.",
""
]
] |
Using gauge/gravity duality, we study the creation and evolution of anisotropic, homogeneous strongly coupled $\mathcal N=4$ supersymmetric Yang-Mills plasma. In the dual gravitational description, this corresponds to horizon formation in a geometry driven to be anisotropic by a time-dependent change in boundary conditions.
|
2010.14681
|
Yasuaki Hikida
|
Thomas Creutzig and Yasuaki Hikida
|
Higher rank FZZ-dualities
|
36 pages
| null |
10.1007/JHEP02(2021)140
|
YITP-20-137
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose new strong/weak dualities in two dimensional conformal field
theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality
between Witten's cigar model described by the
$\mathfrak{sl}(2)/\mathfrak{u}(1)$ coset and sine-Liouville theory. In a
previous work, a proof of the FZZ-duality was provided by applying the
reduction method from $\mathfrak{sl}(2)$ Wess-Zumino-Novikov-Witten model to
Liouville field theory and the self-duality of Liouville field theory. In this
paper, we work with the coset model of the type
$\mathfrak{sl}(N+1)/(\mathfrak{sl}(N) \times \mathfrak{u}(1))$ and propose that
the model is dual to a theory with an $\mathfrak{sl}(N+1|N)$ structure. We
derive the duality explicitly for $N=2,3$ by applying recent works on the
reduction method extended for $\mathfrak{sl}(N)$ and the self-duality of Toda
field theory. Our results can be regarded as a conformal field theoretic
derivation of the duality of the Gaiotto-Rap\v{c}\'ak corner vertex operator
algebras $Y_{0, N, N+1}[\psi]$ and $Y_{N, 0, N+1}[\psi^{-1}]$.
|
[
{
"created": "Wed, 28 Oct 2020 00:25:56 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
]
] |
We propose new strong/weak dualities in two dimensional conformal field theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality between Witten's cigar model described by the $\mathfrak{sl}(2)/\mathfrak{u}(1)$ coset and sine-Liouville theory. In a previous work, a proof of the FZZ-duality was provided by applying the reduction method from $\mathfrak{sl}(2)$ Wess-Zumino-Novikov-Witten model to Liouville field theory and the self-duality of Liouville field theory. In this paper, we work with the coset model of the type $\mathfrak{sl}(N+1)/(\mathfrak{sl}(N) \times \mathfrak{u}(1))$ and propose that the model is dual to a theory with an $\mathfrak{sl}(N+1|N)$ structure. We derive the duality explicitly for $N=2,3$ by applying recent works on the reduction method extended for $\mathfrak{sl}(N)$ and the self-duality of Toda field theory. Our results can be regarded as a conformal field theoretic derivation of the duality of the Gaiotto-Rap\v{c}\'ak corner vertex operator algebras $Y_{0, N, N+1}[\psi]$ and $Y_{N, 0, N+1}[\psi^{-1}]$.
|
hep-th/0309066
|
Katja Poppenhaeger
|
Katja Poppenhaeger, Sabine Hossenfelder, Stefan Hofmann, Marcus
Bleicher (Univ. Frankfurt, Univ. Stockholm)
|
The Casimir Effect in the Presence of Compactified Universal Extra
Dimensions
|
4 pages, 1 figure, error in polarizations corrected, Casimir Effect
in 4D-limit reproduced
|
Phys.Lett.B582:1-5,2004
|
10.1016/j.physletb.2003.12.015
| null |
hep-th
| null |
The Casimir force in a system consisting of two parallel conducting plates in
the presence of compactified universal extra dimensions (UXD) is analyzed. The
Casimir force with UXDs differs from the force obtained without extra
dimensions. A new power law for the Casimir force is derived. By comparison to
experimental data the size R of the universal extra dimensions can be
restricted to R < 10 nm for one extra dimension.
|
[
{
"created": "Fri, 5 Sep 2003 14:12:58 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Dec 2003 16:56:37 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Poppenhaeger",
"Katja",
"",
"Univ. Frankfurt, Univ. Stockholm"
],
[
"Hossenfelder",
"Sabine",
"",
"Univ. Frankfurt, Univ. Stockholm"
],
[
"Hofmann",
"Stefan",
"",
"Univ. Frankfurt, Univ. Stockholm"
],
[
"Bleicher",
"Marcus",
"",
"Univ. Frankfurt, Univ. Stockholm"
]
] |
The Casimir force in a system consisting of two parallel conducting plates in the presence of compactified universal extra dimensions (UXD) is analyzed. The Casimir force with UXDs differs from the force obtained without extra dimensions. A new power law for the Casimir force is derived. By comparison to experimental data the size R of the universal extra dimensions can be restricted to R < 10 nm for one extra dimension.
|
2307.01454
|
Xuanhua Wang
|
Ran Li, Xuanhua Wang, Kun Zhang, Jin Wang
|
Information retrieval from Hawking radiation in the non-isometric model
of black hole interior: theory and quantum simulations
|
47 pages
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The non-isometric holographic model of the black hole interior stands out as
a potential resolution of the long-standing black hole information puzzle since
it remedies the friction between the effective calculation and the microscopic
description. In this study, combining the final-state projection model, the
non-isometric model of black hole interior and Hayden-Preskill thought
experiment, we investigate the information recovery from decoding Hawking
radiation and demonstrate the emergence of the Page time in this setup. We
incorporate the effective modes into the scrambling inside the horizon, which
are usually disregarded in Hayden-Preskill protocols, and show that the Page
time can be identified as the transition of information transmission channels
from the EPR projection to the local projections. This offers a new perspective
on the Page time. We compute the decoupling condition under which retrieving
information is feasible and show that this model computes the black hole
entropy consistent with the quantum extremal surface calculation. Assuming the
full knowledge of the dynamics of the black hole interior, we show how
Yoshida-Kitaev decoding strategy can be employed in the modified
Hayden-Preskill protocol. Furthermore, we perform experimental tests of both
probabilistic and Grover's search decoding strategies on the 7-qubit IBM
quantum processors to validate our analytical findings and confirm the
feasibility of retrieving information in the non-isometric model. This study
would stimulate more interests to explore black hole information problem on the
quantum processors.
|
[
{
"created": "Tue, 4 Jul 2023 03:16:36 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2023 16:00:28 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jan 2024 07:33:59 GMT",
"version": "v3"
}
] |
2024-01-05
|
[
[
"Li",
"Ran",
""
],
[
"Wang",
"Xuanhua",
""
],
[
"Zhang",
"Kun",
""
],
[
"Wang",
"Jin",
""
]
] |
The non-isometric holographic model of the black hole interior stands out as a potential resolution of the long-standing black hole information puzzle since it remedies the friction between the effective calculation and the microscopic description. In this study, combining the final-state projection model, the non-isometric model of black hole interior and Hayden-Preskill thought experiment, we investigate the information recovery from decoding Hawking radiation and demonstrate the emergence of the Page time in this setup. We incorporate the effective modes into the scrambling inside the horizon, which are usually disregarded in Hayden-Preskill protocols, and show that the Page time can be identified as the transition of information transmission channels from the EPR projection to the local projections. This offers a new perspective on the Page time. We compute the decoupling condition under which retrieving information is feasible and show that this model computes the black hole entropy consistent with the quantum extremal surface calculation. Assuming the full knowledge of the dynamics of the black hole interior, we show how Yoshida-Kitaev decoding strategy can be employed in the modified Hayden-Preskill protocol. Furthermore, we perform experimental tests of both probabilistic and Grover's search decoding strategies on the 7-qubit IBM quantum processors to validate our analytical findings and confirm the feasibility of retrieving information in the non-isometric model. This study would stimulate more interests to explore black hole information problem on the quantum processors.
|
1406.6216
|
Ming Zhang
|
Ming Zhang, Cheng-Yi Sun, Zhan-Ying Yang, Rui-Hong Yue
|
Cosmological evolution of quintessence with a sign-changing interaction
in dark sector
| null | null |
10.1007/s11433-014-5550-x
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By analysing the cosmological dynamical system with a dark-sector interaction
which changes sign during the cosmological evolution, we find a scaling
attractor to help to alleviate the cosmic-coincidence problem. This result
shows that this interaction can bring new features to the cosmology.
|
[
{
"created": "Tue, 24 Jun 2014 12:35:41 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2014 06:34:56 GMT",
"version": "v2"
}
] |
2014-07-07
|
[
[
"Zhang",
"Ming",
""
],
[
"Sun",
"Cheng-Yi",
""
],
[
"Yang",
"Zhan-Ying",
""
],
[
"Yue",
"Rui-Hong",
""
]
] |
By analysing the cosmological dynamical system with a dark-sector interaction which changes sign during the cosmological evolution, we find a scaling attractor to help to alleviate the cosmic-coincidence problem. This result shows that this interaction can bring new features to the cosmology.
|
hep-th/0202035
|
Bireswar Basu-Mallick
|
B. Basu-Mallick and Tanaya Bhattacharyya
|
Algebraic Bethe ansatz for a quantum integrable derivative nonlinear
Schrodinger model
|
17 pages, Latex, minor typos corrected, to be published in Nucl.
Phys. B
|
Nucl.Phys. B634 (2002) 611-627
|
10.1016/S0550-3213(02)00288-2
| null |
hep-th cond-mat nlin.SI
| null |
We find that the quantum monodromy matrix associated with a derivative
nonlinear Schrodinger (DNLS) model exhibits U(2) or U(1,1) symmetry depending
on the sign of the related coupling constant. By using a variant of quantum
inverse scattering method which is directly applicable to field theoretical
models, we derive all possible commutation relations among the operator valued
elements of such monodromy matrix. Thus, we obtain the commutation relation
between creation and annihilation operators of quasi-particles associated with
DNLS model and find out the $S$-matrix for two-body scattering. We also observe
that, for some special values of the coupling constant, there exists an upper
bound on the number of quasi-particles which can form a soliton state for the
quantum DNLS model.
|
[
{
"created": "Wed, 6 Feb 2002 15:08:40 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jun 2002 15:13:28 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Basu-Mallick",
"B.",
""
],
[
"Bhattacharyya",
"Tanaya",
""
]
] |
We find that the quantum monodromy matrix associated with a derivative nonlinear Schrodinger (DNLS) model exhibits U(2) or U(1,1) symmetry depending on the sign of the related coupling constant. By using a variant of quantum inverse scattering method which is directly applicable to field theoretical models, we derive all possible commutation relations among the operator valued elements of such monodromy matrix. Thus, we obtain the commutation relation between creation and annihilation operators of quasi-particles associated with DNLS model and find out the $S$-matrix for two-body scattering. We also observe that, for some special values of the coupling constant, there exists an upper bound on the number of quasi-particles which can form a soliton state for the quantum DNLS model.
|
0801.0226
|
Fang Chen
|
Fang Chen, James M. Cline, Sugumi Kanno
|
Modified Friedmann Equation and Inflation in Warped Codimension-two
Braneworld
|
29 pages, 23 figures
|
Phys.Rev.D77:063531,2008
|
10.1103/PhysRevD.77.063531
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We study the Friedmann equation for the warped codimension-two braneworld
background which most closely resembles the Randall-Sundrum model. Extra matter
on the (Planck) 4-brane, with equation of state p_\theta=(\alpha-1)\rho for the
azimuthal pressure, is required to satisfy the junction conditions. For 1 <
\alpha < 5, we show that there are two static solutions to the Einstein
equations for given values of the brane stress-energies. Close to the static
solutions, the relation between Hubble expansion rate H and brane tension
reproduces the standard 4D result for small H, but exhibits unusual deviations
when H is of order the AdS curvature scale. The two static branches for 1
<\alpha < 5 are shown to come together smoothly at a maximum value of H;
however the radion is shown to be unstable in the branch with higher H. This
remains true even with a mechanism for stabilization of the radion, i.e., the
Goldberger-Wise (GW) mechanism, since large enough H overcomes the force of
stabilization. Even in the unstabilized case, cosmological constraints on the
time and spatial variation of Newton's constant are typically satisfied; only
fifth force constraints require the stabilization. For \alpha > 5 the model is
intrinsically stable, without the need for a GW field, and in this case we show
that inflationary predictions can be modified by the nonstandard Friedmann
equation; in particular it is possible to get an upper limit on the spectral
index, large deviations from the consistency condition between the tensor
spectrum and ratio r, and large running of the spectral index even though the
slow roll parameters remain small.
|
[
{
"created": "Mon, 31 Dec 2007 18:49:15 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2008 21:13:27 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Chen",
"Fang",
""
],
[
"Cline",
"James M.",
""
],
[
"Kanno",
"Sugumi",
""
]
] |
We study the Friedmann equation for the warped codimension-two braneworld background which most closely resembles the Randall-Sundrum model. Extra matter on the (Planck) 4-brane, with equation of state p_\theta=(\alpha-1)\rho for the azimuthal pressure, is required to satisfy the junction conditions. For 1 < \alpha < 5, we show that there are two static solutions to the Einstein equations for given values of the brane stress-energies. Close to the static solutions, the relation between Hubble expansion rate H and brane tension reproduces the standard 4D result for small H, but exhibits unusual deviations when H is of order the AdS curvature scale. The two static branches for 1 <\alpha < 5 are shown to come together smoothly at a maximum value of H; however the radion is shown to be unstable in the branch with higher H. This remains true even with a mechanism for stabilization of the radion, i.e., the Goldberger-Wise (GW) mechanism, since large enough H overcomes the force of stabilization. Even in the unstabilized case, cosmological constraints on the time and spatial variation of Newton's constant are typically satisfied; only fifth force constraints require the stabilization. For \alpha > 5 the model is intrinsically stable, without the need for a GW field, and in this case we show that inflationary predictions can be modified by the nonstandard Friedmann equation; in particular it is possible to get an upper limit on the spectral index, large deviations from the consistency condition between the tensor spectrum and ratio r, and large running of the spectral index even though the slow roll parameters remain small.
|
2406.03550
|
David Tennyson
|
Julian Kupka, Charles Strickland-Constable, Eirik Eik Svanes, David
Tennyson, Fridrich Valach
|
BPS complexes and Chern--Simons theories from $G$-structures in gauge
theory and gravity
|
56 + 1 pages
| null | null |
MI-HET-834
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a variety of physical systems in which one has states that can be
thought of as generalised instantons. These include Yang--Mills theories on
manifolds with a torsion-free $G$-structure, analogous gravitational instantons
and certain supersymmetric solutions of ten-dimensional supergravity, using
their formulation as generalised $G$-structures on Courant algebroids. We
provide a universal algebraic construction of a complex, which we call the BPS
complex, that computes the infinitesimal moduli space of the instanton as one
of its cohomologies. We call a class of these spinor type complexes, which are
closely connected to supersymmetric systems, and show how their Laplacians have
nice properties. In the supergravity context, the BPS complex becomes a double
complex, in a way that corresponds to the left- and right-moving sectors of the
string, and becomes much like the double complex of $(p,q)$-forms on a K\"ahler
manifold. If the BPS complex has a symplectic inner product, one can write down
an associated linearised BV Chern--Simons theory, which reproduces several
classic examples in gauge theory. We discuss applications to
(quasi-)topological string theories and heterotic superpotential functionals,
whose quadratic parts can also be constructed naturally from the BPS complex.
|
[
{
"created": "Wed, 5 Jun 2024 18:00:17 GMT",
"version": "v1"
}
] |
2024-06-07
|
[
[
"Kupka",
"Julian",
""
],
[
"Strickland-Constable",
"Charles",
""
],
[
"Svanes",
"Eirik Eik",
""
],
[
"Tennyson",
"David",
""
],
[
"Valach",
"Fridrich",
""
]
] |
We consider a variety of physical systems in which one has states that can be thought of as generalised instantons. These include Yang--Mills theories on manifolds with a torsion-free $G$-structure, analogous gravitational instantons and certain supersymmetric solutions of ten-dimensional supergravity, using their formulation as generalised $G$-structures on Courant algebroids. We provide a universal algebraic construction of a complex, which we call the BPS complex, that computes the infinitesimal moduli space of the instanton as one of its cohomologies. We call a class of these spinor type complexes, which are closely connected to supersymmetric systems, and show how their Laplacians have nice properties. In the supergravity context, the BPS complex becomes a double complex, in a way that corresponds to the left- and right-moving sectors of the string, and becomes much like the double complex of $(p,q)$-forms on a K\"ahler manifold. If the BPS complex has a symplectic inner product, one can write down an associated linearised BV Chern--Simons theory, which reproduces several classic examples in gauge theory. We discuss applications to (quasi-)topological string theories and heterotic superpotential functionals, whose quadratic parts can also be constructed naturally from the BPS complex.
|
hep-th/9601090
|
D. V. Vasilevich
|
Sergei Alexandrov and Dmitri Vassilevich
|
Heat kernel for non-minimal operators on a Kahler manifold
|
revtex 3.0, 10p., no figures
|
J.Math.Phys. 37 (1996) 5715-5718
|
10.1063/1.531736
|
Preprint TUW-96-01 (TU Vienna)
|
hep-th
| null |
The heat kernel expansion for a general non--minimal operator on the spaces
$C^\infty (\Lambda^k)$ and $C^\infty (\Lambda^{p,q})$ is studied. The
coefficients of the heat kernel asymptotics for this operator are expressed in
terms of the Seeley coefficients for the Hodge--de Rham Laplacian.
|
[
{
"created": "Wed, 17 Jan 1996 19:05:19 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Alexandrov",
"Sergei",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] |
The heat kernel expansion for a general non--minimal operator on the spaces $C^\infty (\Lambda^k)$ and $C^\infty (\Lambda^{p,q})$ is studied. The coefficients of the heat kernel asymptotics for this operator are expressed in terms of the Seeley coefficients for the Hodge--de Rham Laplacian.
|
hep-th/9911226
|
R. Parthasarathy
|
Ramesh Anishetty and R.Parthasarathy
|
Spontaneous Time Asymmetry due to Horizon
|
4 pages, Revtex
|
Mod.Phys.Lett. A16 (2001) 1517-1524
|
10.1142/S0217732301004625
|
IMSc-99/11/38
|
hep-th gr-qc
| null |
We show that quantized matter fields in the presence of background metrics
with Horizon exhibit spontaneous time asymmetry. All quantized matter fields
have to vanish at the horizon. Some phenemenological applications of this in
the context of black holes and early universe are considered.
|
[
{
"created": "Mon, 29 Nov 1999 09:15:38 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Anishetty",
"Ramesh",
""
],
[
"Parthasarathy",
"R.",
""
]
] |
We show that quantized matter fields in the presence of background metrics with Horizon exhibit spontaneous time asymmetry. All quantized matter fields have to vanish at the horizon. Some phenemenological applications of this in the context of black holes and early universe are considered.
|
1101.5251
|
Francesco Becattini
|
F. Becattini and L. Tinti (University of Florence)
|
Thermodynamical inequivalence of quantum stress-energy and spin tensors
|
25 pages, 3 figures. Final version accepted for publication in Phys.
Rev. D
|
Phys.Rev.D84:025013,2011
|
10.1103/PhysRevD.84.025013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that different couples of stress-energy and spin tensors of
quantum relativistic fields, which would be otherwise equivalent, are in fact
inequivalent if the second law of thermodynamics is taken into account. The
proof of the inequivalence is based on the analysis of a macroscopic system at
full thermodynamical equilibrium with a macroscopic total angular momentum and
a specific instance is given for the free Dirac field, for which we show that
the canonical and Belinfante stress-energy tensors are not equivalent. For this
particular case, we show that the difference between the predicted angular
momentum densities for a rotating system at full thermodynamical equilibrium is
a quantum effect, persisting in the non-relativistic limit, corresponding to a
polarization of particles of the order of \hbar \omega/KT (\omega being the
angular velocity) and could in principle be measured experimentally. This
result implies that specific stress-energy and spin tensors are physically
meaningful even in the absence of gravitational coupling and raises the issue
of finding the thermodynamically right (or the right class of) tensors. We
argue that the maximization of the thermodynamic potential theoretically allows
to discriminate between two different couples, yet for the present we are
unable to provide a theoretical method to single out the "best" couple of
tensors in a given quantum field theory. The existence of a non-vanishing spin
tensor would have major consequences in hydrodynamics, gravity and cosmology.
|
[
{
"created": "Thu, 27 Jan 2011 10:47:52 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2011 11:29:05 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2011 16:48:44 GMT",
"version": "v3"
}
] |
2011-08-08
|
[
[
"Becattini",
"F.",
"",
"University of Florence"
],
[
"Tinti",
"L.",
"",
"University of Florence"
]
] |
It is shown that different couples of stress-energy and spin tensors of quantum relativistic fields, which would be otherwise equivalent, are in fact inequivalent if the second law of thermodynamics is taken into account. The proof of the inequivalence is based on the analysis of a macroscopic system at full thermodynamical equilibrium with a macroscopic total angular momentum and a specific instance is given for the free Dirac field, for which we show that the canonical and Belinfante stress-energy tensors are not equivalent. For this particular case, we show that the difference between the predicted angular momentum densities for a rotating system at full thermodynamical equilibrium is a quantum effect, persisting in the non-relativistic limit, corresponding to a polarization of particles of the order of \hbar \omega/KT (\omega being the angular velocity) and could in principle be measured experimentally. This result implies that specific stress-energy and spin tensors are physically meaningful even in the absence of gravitational coupling and raises the issue of finding the thermodynamically right (or the right class of) tensors. We argue that the maximization of the thermodynamic potential theoretically allows to discriminate between two different couples, yet for the present we are unable to provide a theoretical method to single out the "best" couple of tensors in a given quantum field theory. The existence of a non-vanishing spin tensor would have major consequences in hydrodynamics, gravity and cosmology.
|
1009.0340
|
Kazuo Hosomichi
|
Kazuo Hosomichi, Sungjay Lee and Jaemo Park
|
AGT on the S-duality Wall
|
14 pages, 3 figures. v2: Revised the analysis in sections 3.3 and 4.
Notes and references added. Version to appear in JHEP
|
JHEP 1012:079,2010
|
10.1007/JHEP12(2010)079
|
KIAS-P10025, YITP-10-76
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Three-dimensional gauge theory T[G] arises on a domain wall between
four-dimensional N=4 SYM theories with the gauge groups G and its S-dual G^L.
We argue that the N=2^* mass deformation of the bulk theory induces a
mass-deformation of the theory T[G] on the wall. The partition functions of the
theory T[SU(2)] and its mass-deformation on the three-sphere are shown to
coincide with the transformation coefficient of Liouville one-point conformal
block on torus under the S-duality.
|
[
{
"created": "Thu, 2 Sep 2010 07:16:42 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Dec 2010 16:50:06 GMT",
"version": "v2"
}
] |
2011-01-04
|
[
[
"Hosomichi",
"Kazuo",
""
],
[
"Lee",
"Sungjay",
""
],
[
"Park",
"Jaemo",
""
]
] |
Three-dimensional gauge theory T[G] arises on a domain wall between four-dimensional N=4 SYM theories with the gauge groups G and its S-dual G^L. We argue that the N=2^* mass deformation of the bulk theory induces a mass-deformation of the theory T[G] on the wall. The partition functions of the theory T[SU(2)] and its mass-deformation on the three-sphere are shown to coincide with the transformation coefficient of Liouville one-point conformal block on torus under the S-duality.
|
1810.01205
|
Mark Shawa
|
M.M.W. Shawa and A.J.M. Medved
|
$N$-point functions of strongly coupled fluids dual to generalized
higher-derivative theories of gravity
|
36 pages, 7 figures
|
Phys. Rev. D 98, 086024 (2018)
|
10.1103/PhysRevD.98.086024
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the connected stress-tensor correlation functions that are dual
to a certain class of graviton scattering amplitudes in an asymptotically
anti-de Sitter, black brane spacetime. This is a continuation of a previous
study in which one-particle-irreducible amplitudes were calculated for
arbitrarily higher-derivative gravity in a particular kinetic regime of high
energies and large scattering angles. The utility of this regime is twofold: It
is particularly well suited for translating scattering amplitudes into the
language of the gauge theory and it emphasizes the contributions from
higher-derivative corrections (which would otherwise be perturbatively
suppressed). Using the new results, we show how it could be possible to
identify, experimentally, the gravitational dual to a strongly coupled fluid
such as the quark-gluon plasma.
|
[
{
"created": "Tue, 2 Oct 2018 12:40:37 GMT",
"version": "v1"
}
] |
2018-10-31
|
[
[
"Shawa",
"M. M. W.",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
We calculate the connected stress-tensor correlation functions that are dual to a certain class of graviton scattering amplitudes in an asymptotically anti-de Sitter, black brane spacetime. This is a continuation of a previous study in which one-particle-irreducible amplitudes were calculated for arbitrarily higher-derivative gravity in a particular kinetic regime of high energies and large scattering angles. The utility of this regime is twofold: It is particularly well suited for translating scattering amplitudes into the language of the gauge theory and it emphasizes the contributions from higher-derivative corrections (which would otherwise be perturbatively suppressed). Using the new results, we show how it could be possible to identify, experimentally, the gravitational dual to a strongly coupled fluid such as the quark-gluon plasma.
|
hep-th/9809192
|
Damiano Anselmi
|
D. Anselmi
|
The N=4 Quantum Conformal Algebra
|
17 pages, 2 figures. One additional comment on spin hierarchies.
Final version, to appear in npb. (v2: The essential structure of the algebra
holds at arbitrary coupling)
|
Nucl.Phys. B541 (1999) 369-385
|
10.1016/S0550-3213(98)00848-7
|
CPTH S.650 0998
|
hep-th hep-ph math-ph math.MP
| null |
We determine the spectrum of currents generated by the operator product
expansion of the energy-momentum tensor in N=4 super-symmetric Yang-Mills
theory. Up to the regular terms and in addition to the multiplet of the stress
tensor, three current multiplets appear, Sigma, Xi and Upsilon, starting with
spin 0, 2 and 4, respectively. The OPE's of these new currents generate an
infinite tower of current multiplets, one for each even spin, which exhibit a
universal structure, of length 4 in spin units, identified by a two-parameter
rational family. Using higher spin techniques developed recently for conformal
field theories, we compute the critical exponents of Sigma, Xi and Upsilon in
the TT OPE and prove that the essential structure of the algebra holds at
arbitrary coupling. We argue that the algebra closes in the strongly coupled
large-$N_c$ limit. Our results determine the quantum conformal algebra of the
theory and answer several questions that previously remained open.
|
[
{
"created": "Sun, 27 Sep 1998 18:48:21 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 1998 15:25:10 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Dec 1998 14:16:22 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Anselmi",
"D.",
""
]
] |
We determine the spectrum of currents generated by the operator product expansion of the energy-momentum tensor in N=4 super-symmetric Yang-Mills theory. Up to the regular terms and in addition to the multiplet of the stress tensor, three current multiplets appear, Sigma, Xi and Upsilon, starting with spin 0, 2 and 4, respectively. The OPE's of these new currents generate an infinite tower of current multiplets, one for each even spin, which exhibit a universal structure, of length 4 in spin units, identified by a two-parameter rational family. Using higher spin techniques developed recently for conformal field theories, we compute the critical exponents of Sigma, Xi and Upsilon in the TT OPE and prove that the essential structure of the algebra holds at arbitrary coupling. We argue that the algebra closes in the strongly coupled large-$N_c$ limit. Our results determine the quantum conformal algebra of the theory and answer several questions that previously remained open.
|
hep-th/0609164
|
Michael Mattes Dr.
|
T. Beck and M. Sorg (II. Institut fuer Theoretische Physik der
Universitaet Stuttgart Germany)
|
Positive and Negative Charges in Relativistic Schroedinger Theory
|
57 pages
| null | null | null |
hep-th
| null |
Relativistic Schroedinger Theory (RST), as a general gauge theory for the
description of relativistic N-particle systems, is shown to be a mathematically
consistent and physically reasonable framework for an arbitrary assemblage of
positive and negative charges. The electromagnetic plus exchange interactions
within the subset of {\it identical} particles are accounted for in a
consistent way, whereas {\it different} particles can undergo only the
electromagnetic interactions. The origin of this different interaction
mechanism for the subsets of identical and non-identical particles is traced
back to the fundamental conservation laws for charge and energy-momentum: in
order that these conservation laws can hold also for different particles, the
structure group $\mathcal U(N)$ of the fibre bundles must be reduced to its
maximal Abelian subgroup $\mathcal U(1) \times \mathcal U(1) \times ... \times
\mathcal U(1)$, which eliminates the exchange part of the bundle connection.
The persisting Abelian gauge symmetry adopts the meaning of the proper gauge
group for the electromagnetic interactions which apply to the identical and
non-identical particles in the same way. Thus in RST there is an intrinsic
dynamical foundation of the emergence of exchange effects for identical
particles, whereas the conventional theory is invaded by the exchange
phenomenon via a purely kinematical postulate, namely the antisymmetrization
postulate for the wave functions due to Pauli's exclusion principle. As a
concrete demonstration, a three-particle system is considered which consists of
a positively charged particle of arbitrary rest mass and of two negatively
charged particles of equal spin, mass and charge (e.g. electrons).
|
[
{
"created": "Sat, 23 Sep 2006 13:06:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Beck",
"T.",
"",
"II. Institut fuer Theoretische Physik der\n Universitaet Stuttgart Germany"
],
[
"Sorg",
"M.",
"",
"II. Institut fuer Theoretische Physik der\n Universitaet Stuttgart Germany"
]
] |
Relativistic Schroedinger Theory (RST), as a general gauge theory for the description of relativistic N-particle systems, is shown to be a mathematically consistent and physically reasonable framework for an arbitrary assemblage of positive and negative charges. The electromagnetic plus exchange interactions within the subset of {\it identical} particles are accounted for in a consistent way, whereas {\it different} particles can undergo only the electromagnetic interactions. The origin of this different interaction mechanism for the subsets of identical and non-identical particles is traced back to the fundamental conservation laws for charge and energy-momentum: in order that these conservation laws can hold also for different particles, the structure group $\mathcal U(N)$ of the fibre bundles must be reduced to its maximal Abelian subgroup $\mathcal U(1) \times \mathcal U(1) \times ... \times \mathcal U(1)$, which eliminates the exchange part of the bundle connection. The persisting Abelian gauge symmetry adopts the meaning of the proper gauge group for the electromagnetic interactions which apply to the identical and non-identical particles in the same way. Thus in RST there is an intrinsic dynamical foundation of the emergence of exchange effects for identical particles, whereas the conventional theory is invaded by the exchange phenomenon via a purely kinematical postulate, namely the antisymmetrization postulate for the wave functions due to Pauli's exclusion principle. As a concrete demonstration, a three-particle system is considered which consists of a positively charged particle of arbitrary rest mass and of two negatively charged particles of equal spin, mass and charge (e.g. electrons).
|
hep-th/9511148
|
Andrew Waldron
|
Andrew K. Waldron
|
Cancellation of quantum mechanical higher loop contributions to the
gravitational chiral anomaly
|
10 pages, LaTeX and psfig (many figures)
|
Phys.Rev.D53:5692-5697,1996
|
10.1103/PhysRevD.53.5692
|
ITP-SB-95-53
|
hep-th
| null |
We give an explicit demonstration, using the rigorous Feynman rules developed
in~$\0^{1}$, that the regularized trace $\tr \gamma_5 e^{-\beta \Dslash^2}$ for
the gravitational chiral anomaly expressed as an appropriate quantum mechanical
path integral is $\beta$-independent up to two-loop level. Identities and
diagrammatic notations are developed to facilitate rapid evaluation of graphs
given by these rules.
|
[
{
"created": "Tue, 21 Nov 1995 19:58:28 GMT",
"version": "v1"
}
] |
2011-09-09
|
[
[
"Waldron",
"Andrew K.",
""
]
] |
We give an explicit demonstration, using the rigorous Feynman rules developed in~$\0^{1}$, that the regularized trace $\tr \gamma_5 e^{-\beta \Dslash^2}$ for the gravitational chiral anomaly expressed as an appropriate quantum mechanical path integral is $\beta$-independent up to two-loop level. Identities and diagrammatic notations are developed to facilitate rapid evaluation of graphs given by these rules.
|
1812.00529
|
Guifre Vidal
|
Ashley Milsted, Guifre Vidal
|
Geometric interpretation of the multi-scale entanglement renormalization
ansatz
|
4 + 27 pages, 22 figures
| null | null | null |
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The multi-scale entanglement renormalization ansatz (MERA) is a tensor
network representation for ground states of critical quantum spin chains, with
a network that extends in an additional dimension corresponding to scale. Over
the years several authors have conjectured, both in the context of holography
and cosmology, that MERA realizes a discrete version of some geometry. However,
while one proposal argued that the tensor network should be interpreted as
representing the hyperbolic plane, another proposal instead equated MERA to de
Sitter spacetime. In this \letter we show, using the framework of path integral
geometry [A. Milsted, G. Vidal, arXiv:1807.02501], that MERA on the real line
(and finite circle) can be given a rigorous interpretation as a two-dimensional
geometry, namely a light sheet (respectively, a light cone). Accordingly, MERA
describes neither the hyperbolic plane nor de Sitter spacetime. However, we
also propose euclidean and lorentzian generalizations of MERA that correspond
to a path integral on these two geometries.
|
[
{
"created": "Mon, 3 Dec 2018 02:37:52 GMT",
"version": "v1"
}
] |
2018-12-04
|
[
[
"Milsted",
"Ashley",
""
],
[
"Vidal",
"Guifre",
""
]
] |
The multi-scale entanglement renormalization ansatz (MERA) is a tensor network representation for ground states of critical quantum spin chains, with a network that extends in an additional dimension corresponding to scale. Over the years several authors have conjectured, both in the context of holography and cosmology, that MERA realizes a discrete version of some geometry. However, while one proposal argued that the tensor network should be interpreted as representing the hyperbolic plane, another proposal instead equated MERA to de Sitter spacetime. In this \letter we show, using the framework of path integral geometry [A. Milsted, G. Vidal, arXiv:1807.02501], that MERA on the real line (and finite circle) can be given a rigorous interpretation as a two-dimensional geometry, namely a light sheet (respectively, a light cone). Accordingly, MERA describes neither the hyperbolic plane nor de Sitter spacetime. However, we also propose euclidean and lorentzian generalizations of MERA that correspond to a path integral on these two geometries.
|
hep-th/9201015
|
Alok Kumar
|
S. Kar, S. Khastgir and A. Kumar
|
An Algorithm to Generate Classical Solutions for String Effective Action
|
12 pages
|
Mod.Phys.Lett. A7 (1992) 1545-1552
|
10.1142/S021773239200121X
| null |
hep-th
| null |
It is shown explicitly, that a number of solutions for the background field
equations of the string effective action in space-time dimension D can be
generated from any known lower dimensional solution, when background fields
have only time dependence. An application of the result to the two dimensional
charged black hole is presented. The case of background with more general
coordinate dependence is also discussed.
|
[
{
"created": "Tue, 7 Jan 1992 07:55:11 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kar",
"S.",
""
],
[
"Khastgir",
"S.",
""
],
[
"Kumar",
"A.",
""
]
] |
It is shown explicitly, that a number of solutions for the background field equations of the string effective action in space-time dimension D can be generated from any known lower dimensional solution, when background fields have only time dependence. An application of the result to the two dimensional charged black hole is presented. The case of background with more general coordinate dependence is also discussed.
|
2306.07203
|
Han Yan
|
Han Yan, Christian B. Jepsen, Yaron Oz
|
$p$-adic Holography from the Hyperbolic Fracton Model
|
6 pages, 5 figures, and appendix
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We reveal a low-temperature duality between the hyperbolic lattice model
featuring fractons and infinite decoupled copies of Zabrodin's $p$-adic model
of AdS/CFT. The core of the duality is the subsystem symmetries of the
hyperbolic fracton model, which always act on both the boundary and the bulk.
These subsystem symmetries are associated with fractal trees embedded in the
hyperbolic lattice, which have the same geometry as Zabrodin's model. The
fracton model, rewritten as electrostatics theory on these trees, matches the
equation of motion of Zabrodin's model. The duality extends from the action to
lattice defects as $p$-adic black holes.
|
[
{
"created": "Mon, 12 Jun 2023 16:07:37 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jun 2023 15:54:44 GMT",
"version": "v2"
}
] |
2023-06-14
|
[
[
"Yan",
"Han",
""
],
[
"Jepsen",
"Christian B.",
""
],
[
"Oz",
"Yaron",
""
]
] |
We reveal a low-temperature duality between the hyperbolic lattice model featuring fractons and infinite decoupled copies of Zabrodin's $p$-adic model of AdS/CFT. The core of the duality is the subsystem symmetries of the hyperbolic fracton model, which always act on both the boundary and the bulk. These subsystem symmetries are associated with fractal trees embedded in the hyperbolic lattice, which have the same geometry as Zabrodin's model. The fracton model, rewritten as electrostatics theory on these trees, matches the equation of motion of Zabrodin's model. The duality extends from the action to lattice defects as $p$-adic black holes.
|
0807.1017
|
Oleg Andreev
|
Oleg Andreev
|
String Free Energy, Hagedorn and Gauge/String Duality
|
7 pages; v3: discussion improved in section 2, figure and references
added
|
JHEP 0903:098,2009
|
10.1088/1126-6708/2009/03/098
|
SPAG-A2/08
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give examples of modeling the string free energy whose behavior mimics
that of QCD: a power-law at high temperature and an exponential decrease at low
temperature. Although the effective description is in terms of strings, no
limiting temperature exists, as expected for a crossover.
|
[
{
"created": "Mon, 7 Jul 2008 13:42:22 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 2008 08:55:00 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2008 11:44:05 GMT",
"version": "v3"
}
] |
2009-03-31
|
[
[
"Andreev",
"Oleg",
""
]
] |
We give examples of modeling the string free energy whose behavior mimics that of QCD: a power-law at high temperature and an exponential decrease at low temperature. Although the effective description is in terms of strings, no limiting temperature exists, as expected for a crossover.
|
hep-th/0010021
|
Lorenzo Cornalba
|
L. Cornalba (ENS)
|
Tachyon Condensation in Large Magnetic Fields with Background
Independent String Field Theory
|
10 pages, some references added and minor imprecisions corrected
|
Phys.Lett. B504 (2001) 55-60
|
10.1016/S0370-2693(01)00266-0
| null |
hep-th
| null |
We discuss the problem of tachyon condensation in the framework of background
independent open string field theory. We show, in particular, that the
computation of the string field theory action simplifies considerably if one
looks at closed string backgrounds with a large B field, and can be carried out
exactly for a generic tachyon profile. We confirm previous results on the form
of the exact tachyon potential, and we find, within this framework, solitonic
solutions which correspond to lower dimensional unstable branes.
|
[
{
"created": "Wed, 4 Oct 2000 16:23:07 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2000 10:32:11 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Cornalba",
"L.",
"",
"ENS"
]
] |
We discuss the problem of tachyon condensation in the framework of background independent open string field theory. We show, in particular, that the computation of the string field theory action simplifies considerably if one looks at closed string backgrounds with a large B field, and can be carried out exactly for a generic tachyon profile. We confirm previous results on the form of the exact tachyon potential, and we find, within this framework, solitonic solutions which correspond to lower dimensional unstable branes.
|
hep-th/0512355
|
Steven Gubser
|
Joshua J. Friess and Steven S. Gubser
|
Non-linear sigma models with anti-de Sitter target spaces
|
44 pages, 4 figures. v2: references added
|
Nucl.Phys.B750:111-141,2006
|
10.1016/j.nuclphysb.2006.05.008
|
PUPT-2189
|
hep-th
| null |
We present evidence that there is a non-trivial fixed point for the AdS_{D+1}
non-linear sigma model in two dimensions, without any matter fields or
additional couplings beyond the standard quadratic action subject to a
quadratic constraint. A zero of the beta function, both in the bosonic and
supersymmetric cases, appears to arise from competition between one-loop and
higher loop effects. A string vacuum based on such a fixed point would have
string scale curvature. The evidence presented is based on fixed-order
calculations carried to four loops (corresponding to O(\alpha'^3) in the
spacetime effective action) and on large D calculations carried to O(D^{-2})
(but to all orders in \alpha'). We discuss ways in which the evidence might be
misleading, and we discuss some features of the putative fixed point, including
the central charge and an operator of negative dimension. We speculate that an
approximately AdS_5 version of this construction may provide a holographic dual
for pure Yang-Mills theory, and that quotients of an AdS_3 version might stand
in for Calabi-Yau manifolds in compactifications to four dimensions.
|
[
{
"created": "Fri, 30 Dec 2005 20:34:42 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jul 2006 00:44:37 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Friess",
"Joshua J.",
""
],
[
"Gubser",
"Steven S.",
""
]
] |
We present evidence that there is a non-trivial fixed point for the AdS_{D+1} non-linear sigma model in two dimensions, without any matter fields or additional couplings beyond the standard quadratic action subject to a quadratic constraint. A zero of the beta function, both in the bosonic and supersymmetric cases, appears to arise from competition between one-loop and higher loop effects. A string vacuum based on such a fixed point would have string scale curvature. The evidence presented is based on fixed-order calculations carried to four loops (corresponding to O(\alpha'^3) in the spacetime effective action) and on large D calculations carried to O(D^{-2}) (but to all orders in \alpha'). We discuss ways in which the evidence might be misleading, and we discuss some features of the putative fixed point, including the central charge and an operator of negative dimension. We speculate that an approximately AdS_5 version of this construction may provide a holographic dual for pure Yang-Mills theory, and that quotients of an AdS_3 version might stand in for Calabi-Yau manifolds in compactifications to four dimensions.
|
hep-th/0402094
|
Simon F. Ross
|
Jose Figueroa-O'Farrill, Owen Madden, Simon F. Ross and Joan Simon
|
Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black
holes
|
48 pages; v2: minor typos corrected
|
Phys.Rev.D69:124026,2004
|
10.1103/PhysRevD.69.124026
| null |
hep-th gr-qc math.DG
| null |
Starting from the recent classification of quotients of Freund--Rubin
backgrounds in string theory of the type AdS_{p+1} x S^q by one-parameter
subgroups of isometries, we investigate the physical interpretation of the
associated quotients by discrete cyclic subgroups. We establish which quotients
have well-behaved causal structures, and of those containing closed timelike
curves, which have interpretations as black holes. We explain the relation to
previous investigations of quotients of asymptotically flat spacetimes and
plane waves, of black holes in AdS and of Godel-type universes.
|
[
{
"created": "Thu, 12 Feb 2004 15:58:35 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2004 10:51:20 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Figueroa-O'Farrill",
"Jose",
""
],
[
"Madden",
"Owen",
""
],
[
"Ross",
"Simon F.",
""
],
[
"Simon",
"Joan",
""
]
] |
Starting from the recent classification of quotients of Freund--Rubin backgrounds in string theory of the type AdS_{p+1} x S^q by one-parameter subgroups of isometries, we investigate the physical interpretation of the associated quotients by discrete cyclic subgroups. We establish which quotients have well-behaved causal structures, and of those containing closed timelike curves, which have interpretations as black holes. We explain the relation to previous investigations of quotients of asymptotically flat spacetimes and plane waves, of black holes in AdS and of Godel-type universes.
|
1811.02175
|
Mahdiyar Noorbala
|
Hassan Firouzjahi, Amin Nassiri-Rad, Mahdiyar Noorbala
|
Stochastic Ultra Slow Roll Inflation
|
24 pages, 4 figures. V3: matches published version
|
JCAP01(2019)040
|
10.1088/1475-7516/2019/01/040
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the ultra slow roll model in the context of stochastic inflation.
Using stochastic $\delta N$ formalism, we calculate the mean number of
$e$-folds, the power spectrum, the bispectrum and the stochastic corrections
into these observables. We reproduce correctly the known leading classical
contributions to these cosmological observables while we show that the
fractional corrections to cosmological observables induced from stochastic
dynamics are at the order of power spectrum. In addition, we consider a
hypothetical setup containing two absorbing barriers on both sides of the field
configuration and calculate the probability of first boundary crossing
associated with the classical motion and quantum jumps. This analysis includes
the limit of Brownian motion of the quantum fluctuations of a test scalar field
in a dS spacetime.
|
[
{
"created": "Tue, 6 Nov 2018 05:53:31 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2018 18:09:41 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jan 2019 18:26:11 GMT",
"version": "v3"
}
] |
2019-01-23
|
[
[
"Firouzjahi",
"Hassan",
""
],
[
"Nassiri-Rad",
"Amin",
""
],
[
"Noorbala",
"Mahdiyar",
""
]
] |
We study the ultra slow roll model in the context of stochastic inflation. Using stochastic $\delta N$ formalism, we calculate the mean number of $e$-folds, the power spectrum, the bispectrum and the stochastic corrections into these observables. We reproduce correctly the known leading classical contributions to these cosmological observables while we show that the fractional corrections to cosmological observables induced from stochastic dynamics are at the order of power spectrum. In addition, we consider a hypothetical setup containing two absorbing barriers on both sides of the field configuration and calculate the probability of first boundary crossing associated with the classical motion and quantum jumps. This analysis includes the limit of Brownian motion of the quantum fluctuations of a test scalar field in a dS spacetime.
|
0708.4375
|
Saswat Sarangi
|
Sash Sarangi, Gary Shiu and Benjamin Shlaer
|
Rapid Tunneling and Percolation in the Landscape
|
47 pages, 16 figures. Acknowledgements added
|
Int.J.Mod.Phys.A24:741-788,2009
|
10.1142/S0217751X09042529
| null |
hep-th
| null |
Motivated by the possibility of a string landscape, we reexamine tunneling of
a scalar field across single/multiple barriers. Recent investigations have
suggested modifications to the usual picture of false vacuum decay that lead to
efficient and rapid tunneling in the landscape when certain conditions are met.
This can be due to stringy effects (e.g. tunneling via the DBI action), or by
effects arising due to the presence of multiple vacua (e.g. resonance
tunneling). In this paper we discuss both DBI tunneling and resonance
tunneling. We provide a QFT treatment of resonance tunneling using the
Schr\"odinger functional approach. We also show how DBI tunneling for
supercritical barriers can naturally lead to conditions suitable for resonance
tunneling. We argue using basic ideas from percolation theory that tunneling
can be rapid in a landscape where a typical vacuum has multiple decay channels
and discuss various cosmological implications. This rapidity vacuum decay can
happen even if there are no resonance/DBI tunneling enhancements, solely due to
the presence of a large number of decay channels. Finally, we consider various
ways of circumventing a recent no-go theorem for resonance tunneling in quantum
field theory.
|
[
{
"created": "Fri, 31 Aug 2007 18:23:45 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Nov 2007 22:24:43 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Dec 2007 19:12:19 GMT",
"version": "v3"
}
] |
2009-03-12
|
[
[
"Sarangi",
"Sash",
""
],
[
"Shiu",
"Gary",
""
],
[
"Shlaer",
"Benjamin",
""
]
] |
Motivated by the possibility of a string landscape, we reexamine tunneling of a scalar field across single/multiple barriers. Recent investigations have suggested modifications to the usual picture of false vacuum decay that lead to efficient and rapid tunneling in the landscape when certain conditions are met. This can be due to stringy effects (e.g. tunneling via the DBI action), or by effects arising due to the presence of multiple vacua (e.g. resonance tunneling). In this paper we discuss both DBI tunneling and resonance tunneling. We provide a QFT treatment of resonance tunneling using the Schr\"odinger functional approach. We also show how DBI tunneling for supercritical barriers can naturally lead to conditions suitable for resonance tunneling. We argue using basic ideas from percolation theory that tunneling can be rapid in a landscape where a typical vacuum has multiple decay channels and discuss various cosmological implications. This rapidity vacuum decay can happen even if there are no resonance/DBI tunneling enhancements, solely due to the presence of a large number of decay channels. Finally, we consider various ways of circumventing a recent no-go theorem for resonance tunneling in quantum field theory.
|
1603.08259
|
Yun-Long Zhang
|
Jiunn-Wei Chen, Shou-Huang Dai, Debaprasad Maity, Yun-Long Zhang
|
Engineering Holographic Superconductor Phase Diagrams
|
25 pages, 7 figures
|
Phys. Rev. D 94, 086004 (2016)
|
10.1103/PhysRevD.94.086004
|
MIT-CTP/4971
|
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how to engineer holographic models with features of a high
temperature superconductor phase diagram. We introduce a field in the bulk
which provides a tunable "doping" parameter in the boundary theory. By
designing how this field changes the effective masses of other order parameter
fields, desired phase diagrams can be engineered. We give examples of
generating phase diagrams with phase boundaries similar to a superconducting
dome and an anti-ferromagnetic phase by including two order parameter fields.
We also explore whether the pseudo gap phase can be described without adding
another order parameter field and discuss the potential scaling symmetry
associated with a quantum critical point hidden under the superconducting dome
in this phase diagram.
|
[
{
"created": "Sun, 27 Mar 2016 20:38:15 GMT",
"version": "v1"
}
] |
2016-10-19
|
[
[
"Chen",
"Jiunn-Wei",
""
],
[
"Dai",
"Shou-Huang",
""
],
[
"Maity",
"Debaprasad",
""
],
[
"Zhang",
"Yun-Long",
""
]
] |
We study how to engineer holographic models with features of a high temperature superconductor phase diagram. We introduce a field in the bulk which provides a tunable "doping" parameter in the boundary theory. By designing how this field changes the effective masses of other order parameter fields, desired phase diagrams can be engineered. We give examples of generating phase diagrams with phase boundaries similar to a superconducting dome and an anti-ferromagnetic phase by including two order parameter fields. We also explore whether the pseudo gap phase can be described without adding another order parameter field and discuss the potential scaling symmetry associated with a quantum critical point hidden under the superconducting dome in this phase diagram.
|
1906.09768
|
Piotr Kucharski
|
Piotr Kucharski
|
$\hat{Z}$ invariants at rational $\tau$
|
15 pages
| null |
10.1007/JHEP09(2019)092
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$\hat{Z}$ invariants of 3-manifolds were introduced as series in $q=e^{2\pi
i\tau}$ in order to categorify Witten-Reshetikhin-Turaev invariants
corresponding to $\tau=1/k$. However modularity properties suggest that all
roots of unity are on the same footing. The main result of this paper is the
expression connecting Reshetikhin-Turaev invariants with $\hat{Z}$ invariants
for $\tau\in\mathbb{Q}$. We present the reasoning leading to this conjecture
and test it on various 3-manifolds.
|
[
{
"created": "Mon, 24 Jun 2019 07:53:28 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jul 2019 23:35:01 GMT",
"version": "v2"
}
] |
2019-10-02
|
[
[
"Kucharski",
"Piotr",
""
]
] |
$\hat{Z}$ invariants of 3-manifolds were introduced as series in $q=e^{2\pi i\tau}$ in order to categorify Witten-Reshetikhin-Turaev invariants corresponding to $\tau=1/k$. However modularity properties suggest that all roots of unity are on the same footing. The main result of this paper is the expression connecting Reshetikhin-Turaev invariants with $\hat{Z}$ invariants for $\tau\in\mathbb{Q}$. We present the reasoning leading to this conjecture and test it on various 3-manifolds.
|
2303.16380
|
Edward Witten
|
Alexander Strohmaier and Edward Witten
|
The Timelike Tube Theorem in Curved Spacetime
|
19 pp
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The timelike tube theorem asserts that in quantum field theory without
gravity, the algebra of observables in an open set U is the same as the
corresponding algebra of observables in its ``timelike envelope'' E(U), which
is an open set that is in general larger. The theorem was originally proved in
the 1960's by Borchers and Araki for quantum fields in Minkowski space. Here we
sketch the proof of a version of the theorem for quantum fields in a general
real analytic spacetime. Details have appeared elsewhere.
|
[
{
"created": "Wed, 29 Mar 2023 01:35:25 GMT",
"version": "v1"
}
] |
2023-03-30
|
[
[
"Strohmaier",
"Alexander",
""
],
[
"Witten",
"Edward",
""
]
] |
The timelike tube theorem asserts that in quantum field theory without gravity, the algebra of observables in an open set U is the same as the corresponding algebra of observables in its ``timelike envelope'' E(U), which is an open set that is in general larger. The theorem was originally proved in the 1960's by Borchers and Araki for quantum fields in Minkowski space. Here we sketch the proof of a version of the theorem for quantum fields in a general real analytic spacetime. Details have appeared elsewhere.
|
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