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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0105243
| null |
S.L. Dubovsky, V.A. Rubakov
|
On models of gauge field localization on a brane
|
25 pages, 3 figures
|
Int.J.Mod.Phys.A16:4331-4350,2001
|
10.1142/S0217751X01005286
| null |
hep-th hep-ph
| null |
We argue that any viable mechanism of gauge field localization should
automatically imply charge universality on the brane. We study whether this
condition is satisfied in the two known proposals aimed to localize vector
field in flat bulk space. We construct a simple calculable model with
confinement in the bulk and deconfinement on the brane, as in the
Shifman--Dvali set up. We find that in our model the 4-dimensional Coulomb law
is indeed reproduced on the brane due to the massless localized photon mode.
The charge universality is enforced by the presence of ``confining strings''.
On the other hand, charge universality condition is not satisfied in another,
brane-induced localization mechanism when the number of extra dimensions d is
larger than two. We demonstrate that in the non-Abelian case the gauge fields
inside the brane are never four-dimensional and their self-interaction is
strong at all distances of interest. Hence this mechanism does not work for
d>2. At d=2 the charge universality is still a problem, but it holds
automatically at d=1. At d=1, however, the bulk gauge fields are strongly
coupled in the non-Abelian case.
|
[
{
"created": "Wed, 23 May 2001 18:39:27 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Dubovsky",
"S. L.",
""
],
[
"Rubakov",
"V. A.",
""
]
] |
We argue that any viable mechanism of gauge field localization should automatically imply charge universality on the brane. We study whether this condition is satisfied in the two known proposals aimed to localize vector field in flat bulk space. We construct a simple calculable model with confinement in the bulk and deconfinement on the brane, as in the Shifman--Dvali set up. We find that in our model the 4-dimensional Coulomb law is indeed reproduced on the brane due to the massless localized photon mode. The charge universality is enforced by the presence of ``confining strings''. On the other hand, charge universality condition is not satisfied in another, brane-induced localization mechanism when the number of extra dimensions d is larger than two. We demonstrate that in the non-Abelian case the gauge fields inside the brane are never four-dimensional and their self-interaction is strong at all distances of interest. Hence this mechanism does not work for d>2. At d=2 the charge universality is still a problem, but it holds automatically at d=1. At d=1, however, the bulk gauge fields are strongly coupled in the non-Abelian case.
|
0812.4363
|
Changhyun Ahn
|
Changhyun Ahn
|
Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons
Gauge Theory
|
21pp, The first paragraph of section 2, the second paragraph in page
5, the two paragraphs in page 6 and CS matter stuffs in section 3 added or
improved and to appear in JHEP
|
JHEP 0903:107,2009
|
10.1088/1126-6708/2009/03/107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The holographic nonsupersymmetric renormalization group flows in four
dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can
be reproduced from N=1 Chern-Simons matter theory by putting some constraints
in the mass terms. We construct the geometric superpotential, from an eleven
dimensional M-theory lift, which provides M2-brane probe analysis for the
infrared ends of various supersymmetric or nonsupersymmetric flows.
|
[
{
"created": "Tue, 23 Dec 2008 10:49:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2009 11:03:15 GMT",
"version": "v2"
}
] |
2009-03-24
|
[
[
"Ahn",
"Changhyun",
""
]
] |
The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass terms. We construct the geometric superpotential, from an eleven dimensional M-theory lift, which provides M2-brane probe analysis for the infrared ends of various supersymmetric or nonsupersymmetric flows.
|
hep-th/9611125
|
Juan Maldacena
|
Juan Maldacena
|
D-branes and Near Extremal Black Holes at Low Energies
|
14 pages, 2 figures, uses harvmac, an error in a proof is corrected,
the conclusions are the same
|
Phys.Rev. D55 (1997) 7645-7650
|
10.1103/PhysRevD.55.7645
| null |
hep-th
| null |
It has been observed recently that many properties of some near extremal
black holes can be described in terms of bound states of D-branes. Using a
non-renormalization theorem we argue that the D-brane description is the
correct quantum gravity description of the black hole at low energies. The low
energy theory includes the black hole degrees of freedom that account for the
entropy and describes also Hawking radiation. The description is unitary and
there seems to be no information loss at low energies.
|
[
{
"created": "Sun, 17 Nov 1996 21:38:55 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 1996 20:27:50 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Maldacena",
"Juan",
""
]
] |
It has been observed recently that many properties of some near extremal black holes can be described in terms of bound states of D-branes. Using a non-renormalization theorem we argue that the D-brane description is the correct quantum gravity description of the black hole at low energies. The low energy theory includes the black hole degrees of freedom that account for the entropy and describes also Hawking radiation. The description is unitary and there seems to be no information loss at low energies.
|
hep-th/0111279
|
Syksy Rasanen
|
Syksy Rasanen
|
On ekpyrotic brane collisions
|
29 pages, LaTeX2e. v2: Added a reference, revised comments on quantum
and string corrections
|
Nucl.Phys. B626 (2002) 183-206
|
10.1016/S0550-3213(02)00056-1
|
HIP-2001-64/TH
|
hep-th
| null |
We derive the five-dimensional metrics which describe a non-singular boundary
brane collision in the ekpyrotic scenario in the context of general relativity,
taking into account brane tension. We show that the metrics constrain matter
created in the collision to have negative energy density or pressure. In
particular, the minimal field content of heterotic M-theory leads to negative
energy density. We also consider bulk brane-boundary brane collisions and show
that the collapse of the fifth dimension is an artifact of the four-dimensional
effective theory.
|
[
{
"created": "Fri, 30 Nov 2001 14:55:39 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2001 17:19:39 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Rasanen",
"Syksy",
""
]
] |
We derive the five-dimensional metrics which describe a non-singular boundary brane collision in the ekpyrotic scenario in the context of general relativity, taking into account brane tension. We show that the metrics constrain matter created in the collision to have negative energy density or pressure. In particular, the minimal field content of heterotic M-theory leads to negative energy density. We also consider bulk brane-boundary brane collisions and show that the collapse of the fifth dimension is an artifact of the four-dimensional effective theory.
|
2307.05756
|
Leandro Roza Livramento PhD
|
Leandro Roza Livramento and Yakov Shnir
|
Multisolitons in a gauged Skyrme-Maxwell model
|
17 pages, 10 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct new solutions of a $U(1)$ gauged Skyrme-Maxwell model of
topological degrees $Q\leq 5$, which represent Skyrmions coupled to magnetic
fluxes. It is found that, generically, in the strong coupling limit, coupling
to the magnetic field results in transformation of the configuration to the
toroidally shaped Skyrmions bounded to the local magnetic flux.
|
[
{
"created": "Tue, 11 Jul 2023 19:22:21 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2023 02:40:05 GMT",
"version": "v2"
}
] |
2023-09-06
|
[
[
"Livramento",
"Leandro Roza",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We construct new solutions of a $U(1)$ gauged Skyrme-Maxwell model of topological degrees $Q\leq 5$, which represent Skyrmions coupled to magnetic fluxes. It is found that, generically, in the strong coupling limit, coupling to the magnetic field results in transformation of the configuration to the toroidally shaped Skyrmions bounded to the local magnetic flux.
|
1510.01332
|
Efrat Gerchkovitz
|
Bartomeu Fiol, Efrat Gerchkovitz and Zohar Komargodski
|
The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
|
7 pages, 2 figures; references added
|
Phys. Rev. Lett. 116, 081601 (2016)
|
10.1103/PhysRevLett.116.081601
|
WIS/08/15-NOV-DPPA
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an exact formula for the energy radiated by an accelerating quark
in N=2 superconformal theories in four dimensions. This formula reproduces the
known Bremsstrahlung function for N=4 theories and provides a prediction for
all the perturbative and instanton corrections in N=2 theories. We perform a
perturbative check of our proposal up to three loops.
|
[
{
"created": "Mon, 5 Oct 2015 20:12:37 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2015 15:38:18 GMT",
"version": "v2"
}
] |
2016-03-02
|
[
[
"Fiol",
"Bartomeu",
""
],
[
"Gerchkovitz",
"Efrat",
""
],
[
"Komargodski",
"Zohar",
""
]
] |
We propose an exact formula for the energy radiated by an accelerating quark in N=2 superconformal theories in four dimensions. This formula reproduces the known Bremsstrahlung function for N=4 theories and provides a prediction for all the perturbative and instanton corrections in N=2 theories. We perform a perturbative check of our proposal up to three loops.
|
1511.07179
|
Yiqiang Du
|
Yiqiang Du, Shan-Quan Lan, Yu Tian and Hongbao Zhang
|
Dynamical stability of the Holographic System with Two Competing Orders
|
19 pages, 15 figures; v2: minor corrections
|
JHEP 01(2016)016
|
10.1007/JHEP01(2016)016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the dynamical stability of the holographic system with two
order parameters, which exhibits competition and coexistence of condensations.
In the linear regime, we have developed the gauge dependent formalism to
calculate the quasi-normal modes by gauge fixing, which turns out be
considerably convenient. Furthermore, by giving different Gaussian wave packets
as perturbations at the initial time, we numerically evolve the full nonlinear
system until it arrives at the final equilibrium state. Our results show that
the dynamical stability is consistent with the thermodynamical stability.
Interestingly, the dynamical evolution, as well as the quasi-normal modes,
shows that the relaxation time of this model is generically much longer than
the simplest holographic system. We also find that the late time behavior can
be well captured by the lowest lying quasi-normal modes except for the
non-vanishing order towards the single ordered phase. To our knowledge, this
exception is the first counter example to the general belief that the late time
behavior towards a final stable state can be captured by the lowest lying
quasi-normal modes. In particular, a double relation is found for this
exception in certain cases.
|
[
{
"created": "Mon, 23 Nov 2015 11:18:04 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 2016 14:11:52 GMT",
"version": "v2"
}
] |
2016-01-27
|
[
[
"Du",
"Yiqiang",
""
],
[
"Lan",
"Shan-Quan",
""
],
[
"Tian",
"Yu",
""
],
[
"Zhang",
"Hongbao",
""
]
] |
We investigate the dynamical stability of the holographic system with two order parameters, which exhibits competition and coexistence of condensations. In the linear regime, we have developed the gauge dependent formalism to calculate the quasi-normal modes by gauge fixing, which turns out be considerably convenient. Furthermore, by giving different Gaussian wave packets as perturbations at the initial time, we numerically evolve the full nonlinear system until it arrives at the final equilibrium state. Our results show that the dynamical stability is consistent with the thermodynamical stability. Interestingly, the dynamical evolution, as well as the quasi-normal modes, shows that the relaxation time of this model is generically much longer than the simplest holographic system. We also find that the late time behavior can be well captured by the lowest lying quasi-normal modes except for the non-vanishing order towards the single ordered phase. To our knowledge, this exception is the first counter example to the general belief that the late time behavior towards a final stable state can be captured by the lowest lying quasi-normal modes. In particular, a double relation is found for this exception in certain cases.
|
1111.7142
|
Max Atkin
|
Max R. Atkin
|
Applications of Random Graphs to 2D Quantum Gravity
|
142 pages, 13 figures, PhD thesis, University of Oxford (2011)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The central topic of this thesis is two dimensional Quantum Gravity and its
properties. The term Quantum Gravity itself is ambiguous as there are many
proposals for its correct formulation and none of them have been verified
experimentally. In this thesis we consider a number of closely related
approaches to two dimensional quantum gravity that share the property that they
may be formulated in terms of random graphs. In one such approach known as
Causal Dynamical Triangulations, numerical computations suggest an interesting
phenomenon in which the effective spacetime dimension is reduced in the UV. In
this thesis we first address whether such a dynamical reduction in the number
of dimensions may be understood in a simplified model. We introduce a continuum
limit where this simplified model exhibits a reduction in the effective
dimension of spacetime in the UV, in addition to having rich cross-over
behaviour.
In the second part of this thesis we consider an approach closely related to
causal dynamical triangulation; namely dynamical triangulation. Although this
theory is less well-behaved than causal dynamical triangulation, it is known
how to couple it to matter, therefore allowing for potentially multiple
boundary states to appear in the theory. We address the conjecture of Seiberg
and Shih which states that all these boundary states are degenerate and may be
constructed from a single principal boundary state. By use of the random graph
formulation of the theory we compute the higher genus amplitudes with a single
boundary and find that they violate the Seiberg-Shih conjecture. Finally we
discuss whether this result prevents the replacement of boundary states by
local operators as proposed by Seiberg.
|
[
{
"created": "Wed, 30 Nov 2011 12:42:11 GMT",
"version": "v1"
}
] |
2011-12-01
|
[
[
"Atkin",
"Max R.",
""
]
] |
The central topic of this thesis is two dimensional Quantum Gravity and its properties. The term Quantum Gravity itself is ambiguous as there are many proposals for its correct formulation and none of them have been verified experimentally. In this thesis we consider a number of closely related approaches to two dimensional quantum gravity that share the property that they may be formulated in terms of random graphs. In one such approach known as Causal Dynamical Triangulations, numerical computations suggest an interesting phenomenon in which the effective spacetime dimension is reduced in the UV. In this thesis we first address whether such a dynamical reduction in the number of dimensions may be understood in a simplified model. We introduce a continuum limit where this simplified model exhibits a reduction in the effective dimension of spacetime in the UV, in addition to having rich cross-over behaviour. In the second part of this thesis we consider an approach closely related to causal dynamical triangulation; namely dynamical triangulation. Although this theory is less well-behaved than causal dynamical triangulation, it is known how to couple it to matter, therefore allowing for potentially multiple boundary states to appear in the theory. We address the conjecture of Seiberg and Shih which states that all these boundary states are degenerate and may be constructed from a single principal boundary state. By use of the random graph formulation of the theory we compute the higher genus amplitudes with a single boundary and find that they violate the Seiberg-Shih conjecture. Finally we discuss whether this result prevents the replacement of boundary states by local operators as proposed by Seiberg.
|
1311.4199
|
Oren Bergman Prof.
|
Oren Bergman, Diego Rodriguez-Gomez, Gabi Zafrir
|
5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric
Gauge Theory
|
50 pages, 36 figures; Typos corrected. Version published in JHEP
| null |
10.1007/JHEP03(2014)112
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a number of investigations of 5d ${\cal N}=1$ supersymmetric gauge
theories that make use of 5-brane web constructions and the 5d superconformal
index. These include an observation of enhanced global symmetry in the 5d fixed
point theory corresponding to $SU(N)$ gauge theory with Chern-Simons level $\pm
N$, enhanced global symmetries in quiver theories, and dualities between quiver
theories and non-quiver theories. Instanton contributions play a crucial role
throughout.
|
[
{
"created": "Sun, 17 Nov 2013 18:49:15 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Apr 2014 14:44:17 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Bergman",
"Oren",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
We present a number of investigations of 5d ${\cal N}=1$ supersymmetric gauge theories that make use of 5-brane web constructions and the 5d superconformal index. These include an observation of enhanced global symmetry in the 5d fixed point theory corresponding to $SU(N)$ gauge theory with Chern-Simons level $\pm N$, enhanced global symmetries in quiver theories, and dualities between quiver theories and non-quiver theories. Instanton contributions play a crucial role throughout.
|
hep-th/9710029
|
Maru Nobuhito
|
Kei Ito and Nobuhito Maru
|
Matrix String Theory from Brane Configuration
|
14 pages, 7 figures, LaTeX, the discussion of mirror symmetry added,
some typos corrected, to appear in Phys. Lett. B
|
Phys.Lett. B426 (1998) 43-49
|
10.1016/S0370-2693(98)00274-3
|
DPNU-97-47
|
hep-th
| null |
Configurations of fivebranes, twobranes and fourbranes in type IIA string
theory, which give (1+1) dimensional supersymmetric gauge theories in the low
energy limit, are constructed. It is shown that these brane configurations are
equivalent to a certain class of matrix string theories. This opens up an
avenue for the investigation of matrix string dynamics via the geometry of the
brane configurations in type IIA string theory.
|
[
{
"created": "Fri, 3 Oct 1997 11:04:44 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 1997 08:16:51 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Mar 1998 14:00:27 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Ito",
"Kei",
""
],
[
"Maru",
"Nobuhito",
""
]
] |
Configurations of fivebranes, twobranes and fourbranes in type IIA string theory, which give (1+1) dimensional supersymmetric gauge theories in the low energy limit, are constructed. It is shown that these brane configurations are equivalent to a certain class of matrix string theories. This opens up an avenue for the investigation of matrix string dynamics via the geometry of the brane configurations in type IIA string theory.
|
1906.07727
|
Niccol\`o Cribiori
|
Niccol\`o Cribiori, Christoph Roupec, Timm Wrase and Yusuke Yamada
|
The supersymmetric anti-D3-brane action in KKLT
|
45 pages; v2: minor corrections, references added, published version
|
Phys. Rev. D 100, 066001 (2019)
|
10.1103/PhysRevD.100.066001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An anti-D3-brane plays a crucial role in the construction of semi-realistic
cosmological models in string theory. Part of its action provides an uplift
term that has been used to lift AdS solutions to phenomenologically viable dS
vacua in the KKLT and LVS setups. In the last few years it has been shown that
this uplift breaks supersymmetry spontaneously and can be described in the 4d
$\mathcal{N}=1$ supergravity language by using constrained supermultiplets.
Here we derive the complete 4d $\mathcal{N}=1$ supergravity action for an
anti-D3-brane coupled to all closed string background fields. In particular we
include the vector field, the scalar fields and all fermions that live on the
anti-D3-brane.
|
[
{
"created": "Tue, 18 Jun 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Aug 2019 20:38:04 GMT",
"version": "v2"
}
] |
2019-09-11
|
[
[
"Cribiori",
"Niccolò",
""
],
[
"Roupec",
"Christoph",
""
],
[
"Wrase",
"Timm",
""
],
[
"Yamada",
"Yusuke",
""
]
] |
An anti-D3-brane plays a crucial role in the construction of semi-realistic cosmological models in string theory. Part of its action provides an uplift term that has been used to lift AdS solutions to phenomenologically viable dS vacua in the KKLT and LVS setups. In the last few years it has been shown that this uplift breaks supersymmetry spontaneously and can be described in the 4d $\mathcal{N}=1$ supergravity language by using constrained supermultiplets. Here we derive the complete 4d $\mathcal{N}=1$ supergravity action for an anti-D3-brane coupled to all closed string background fields. In particular we include the vector field, the scalar fields and all fermions that live on the anti-D3-brane.
|
2004.10215
|
Amitabh Virmani
|
P. B. Aneesh, Sumanta Chakraborty, Sk Jahanur Hoque, Amitabh Virmani
|
First law of black hole mechanics with fermions
|
24 pages; no figures; v2: typos corrected, matches the version to
appear in CQG
| null |
10.1088/1361-6382/aba5ab
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the last few years, there has been significant interest in understanding
the stationary comparison version of the first law of black hole mechanics in
the vielbein formulation of gravity. Several authors have pointed out that to
discuss the first law in the vielbein formulation one must extend the Iyer-Wald
Noether charge formalism appropriately. Jacobson and Mohd [arXiv:1507.01054]
and Prabhu [arXiv:1511.00388] formulated such a generalisation for symmetry
under combined spacetime diffeomorphisms and local Lorentz transformations. In
this paper, we apply and appropriately adapt their formalism to
four-dimensional gravity coupled to a Majorana field and to a Rarita-Schwinger
field. We explore the first law of black hole mechanics and the construction of
the Lorentz-diffeomorphism Noether charges in the presence of fermionic fields,
relevant for simple supergravity.
|
[
{
"created": "Tue, 21 Apr 2020 18:00:10 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Aug 2020 04:33:20 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Aneesh",
"P. B.",
""
],
[
"Chakraborty",
"Sumanta",
""
],
[
"Hoque",
"Sk Jahanur",
""
],
[
"Virmani",
"Amitabh",
""
]
] |
In the last few years, there has been significant interest in understanding the stationary comparison version of the first law of black hole mechanics in the vielbein formulation of gravity. Several authors have pointed out that to discuss the first law in the vielbein formulation one must extend the Iyer-Wald Noether charge formalism appropriately. Jacobson and Mohd [arXiv:1507.01054] and Prabhu [arXiv:1511.00388] formulated such a generalisation for symmetry under combined spacetime diffeomorphisms and local Lorentz transformations. In this paper, we apply and appropriately adapt their formalism to four-dimensional gravity coupled to a Majorana field and to a Rarita-Schwinger field. We explore the first law of black hole mechanics and the construction of the Lorentz-diffeomorphism Noether charges in the presence of fermionic fields, relevant for simple supergravity.
|
2404.05801
|
Antonia Paraskevopoulou
|
Ralph Blumenhagen, Niccol\`o Cribiori, Aleksandar Gligovic, Antonia
Paraskevopoulou
|
Reflections on an M-theoretic Emergence Proposal
|
31 pages, 1 figure. Contribution to the proceedings of the Corfu
Summer Institute 2023 "School and Workshops on Elementary Particle Physics
and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023,
Corfu, Greece, v2: minor revisions, references added
| null | null |
MPP-2024-73
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In a pedagogical manner, we review recent developments in the investigation
of the Emergence Proposal. Although it is fair to say that this idea is still
at an exploratory level and a fully coherent picture has yet to be developed,
we put it into perspective to previous work on the swampland program and on
emergence in QG. In view of the emergent string conjecture, we argue and
provide evidence that it is not the emergent string but rather the
decompactification limit which is a natural candidate for the potential
realization of the Emergence Proposal. This resonates in a compelling way with
old ideas of emergence in M(-atrix) theory and gives rise to a number of
further speculations.
|
[
{
"created": "Mon, 8 Apr 2024 18:04:43 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2024 20:06:48 GMT",
"version": "v2"
}
] |
2024-04-25
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Cribiori",
"Niccolò",
""
],
[
"Gligovic",
"Aleksandar",
""
],
[
"Paraskevopoulou",
"Antonia",
""
]
] |
In a pedagogical manner, we review recent developments in the investigation of the Emergence Proposal. Although it is fair to say that this idea is still at an exploratory level and a fully coherent picture has yet to be developed, we put it into perspective to previous work on the swampland program and on emergence in QG. In view of the emergent string conjecture, we argue and provide evidence that it is not the emergent string but rather the decompactification limit which is a natural candidate for the potential realization of the Emergence Proposal. This resonates in a compelling way with old ideas of emergence in M(-atrix) theory and gives rise to a number of further speculations.
|
hep-th/9708119
|
Massimo Porrati
|
M. Porrati, A. Rozenberg
|
Bound States at Threshold in Supersymmetric Quantum Mechanics
|
Version to appear in Nucl. Phys. B
|
Nucl.Phys. B515 (1998) 184-202
|
10.1016/S0550-3213(97)00804-3
|
NYU-TH-97/08/02, CPHT-S554-0897
|
hep-th
| null |
We propose a general method that allows to detect the existence of
normalizable ground states in supersymmetric quantum mechanical systems with
non-Fredholm spectrum. We apply our method to show the existence of bound
states at threshold in two important cases: 1) the quantum mechanical system
describing H-monopoles; 2) the quantum mechanics of D0 branes.
|
[
{
"created": "Fri, 22 Aug 1997 12:27:47 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 1997 12:00:35 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Sep 1997 17:28:50 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Nov 1997 22:01:04 GMT",
"version": "v4"
}
] |
2009-10-30
|
[
[
"Porrati",
"M.",
""
],
[
"Rozenberg",
"A.",
""
]
] |
We propose a general method that allows to detect the existence of normalizable ground states in supersymmetric quantum mechanical systems with non-Fredholm spectrum. We apply our method to show the existence of bound states at threshold in two important cases: 1) the quantum mechanical system describing H-monopoles; 2) the quantum mechanics of D0 branes.
|
1111.3776
|
Vit Jakubsky
|
Vit Jakubsky, Mikhail S. Plyushchay
|
Supersymmetric twisting of carbon nanotubes
|
10 pages, 5 figures; analysis extended, fig.5 added. Typos corrected,
references added
|
Phys. Rev. D85, 045035 (2012)
|
10.1103/PhysRevD.85.045035
| null |
hep-th cond-mat.mes-hall math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct exactly solvable models of twisted carbon nanotubes via
supersymmetry, by applying the matrix Darboux transformation. We derive the
Green's function for these systems and compute the local density of states.
Explicit examples of twisted carbon nanotubes are produced, where the
back-scattering is suppressed and bound states are present. We find that the
local density of states decreases in the regions where the bound states are
localized. Dependence of bound-state energies on the asymptotic twist of the
nanotubes is determined. We also show that each of the constructed unextended
first order matrix systems possesses a proper nonlinear hidden supersymmetric
structure with a nontrivial grading operator.
|
[
{
"created": "Wed, 16 Nov 2011 12:16:07 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2012 12:32:44 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Jakubsky",
"Vit",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
We construct exactly solvable models of twisted carbon nanotubes via supersymmetry, by applying the matrix Darboux transformation. We derive the Green's function for these systems and compute the local density of states. Explicit examples of twisted carbon nanotubes are produced, where the back-scattering is suppressed and bound states are present. We find that the local density of states decreases in the regions where the bound states are localized. Dependence of bound-state energies on the asymptotic twist of the nanotubes is determined. We also show that each of the constructed unextended first order matrix systems possesses a proper nonlinear hidden supersymmetric structure with a nontrivial grading operator.
|
2005.11453
|
Adailton Ara\'ujo Filho
|
A. A. Ara\'ujo Filho, J. A. A. S. Reis
|
Thermal aspects of interacting quantum gases in Lorentz-violating
scenarios
|
36 pages, 4 figures and 8 tables
|
The European Physical Journal Plus (2021) 136:310
|
10.1140/epjp/s13360-021-01289-z
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we study the interaction of quantum gases in Lorentz-violating
scenarios considering both boson and fermion sectors. In the latter case, we
investigate the consequences of a system governed by scalar, vector,
pseudovector and tensor operators. Besides, we examine the implications of
$\left( \hat{k}_{a}\right) ^{\kappa }$ and $\left( \hat{k}_{c}\right) ^{\kappa
\xi }$ operators for the boson case as well. For doing so, we regard the grand
canonical ensemble seeking the so-called partition function, which suffices to
provide analytically the calculations of interest, i.e., mean particle number,
entropy, mean total energy and pressure. Furthermore, in low temperature
regime, such quantities converge until reaching a similar behavior being in
contrast with what is shown in high temperature regime, which brings out the
differentiation of their effects. In addition, particle number, entropy and
energy exhibit an extensive characteristic even in the presence of Lorentz
violation. Finally, for peseudovector and tensor operators, we notice a
remarkable feature due to the breaking process of spin degeneracy: the system
turns out to have greater energy and particle number for the spin-down
particles in comparison with spin-up ones.
|
[
{
"created": "Sat, 23 May 2020 02:37:05 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2021 12:58:48 GMT",
"version": "v2"
}
] |
2021-03-15
|
[
[
"Filho",
"A. A. Araújo",
""
],
[
"Reis",
"J. A. A. S.",
""
]
] |
In this work, we study the interaction of quantum gases in Lorentz-violating scenarios considering both boson and fermion sectors. In the latter case, we investigate the consequences of a system governed by scalar, vector, pseudovector and tensor operators. Besides, we examine the implications of $\left( \hat{k}_{a}\right) ^{\kappa }$ and $\left( \hat{k}_{c}\right) ^{\kappa \xi }$ operators for the boson case as well. For doing so, we regard the grand canonical ensemble seeking the so-called partition function, which suffices to provide analytically the calculations of interest, i.e., mean particle number, entropy, mean total energy and pressure. Furthermore, in low temperature regime, such quantities converge until reaching a similar behavior being in contrast with what is shown in high temperature regime, which brings out the differentiation of their effects. In addition, particle number, entropy and energy exhibit an extensive characteristic even in the presence of Lorentz violation. Finally, for peseudovector and tensor operators, we notice a remarkable feature due to the breaking process of spin degeneracy: the system turns out to have greater energy and particle number for the spin-down particles in comparison with spin-up ones.
|
hep-th/0209126
|
Marek Rogatko
|
Marek Rogatko
|
Positivity of Energy in Einstein-Maxwell Axion-dilaton gravity
|
11 pages, Latex, to be published in Classical Quantum Gravity
|
Class.Quant.Grav. 19 (2002) 5063-5072
|
10.1088/0264-9381/19/20/303
| null |
hep-th gr-qc
| null |
Avoiding the problem of the existence of asymptotically constant spinors
satysfying certain differential equations on a non-compact hypersrface we
presented the proof of positivity of the ADM and Bondi energy in
Einstein-Maxwell axion-dilaton gravity. In our attitude spinor fields defining
the enwergy need only be defined near infinity and there satysfying propagation
equations.
|
[
{
"created": "Mon, 16 Sep 2002 07:41:47 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Rogatko",
"Marek",
""
]
] |
Avoiding the problem of the existence of asymptotically constant spinors satysfying certain differential equations on a non-compact hypersrface we presented the proof of positivity of the ADM and Bondi energy in Einstein-Maxwell axion-dilaton gravity. In our attitude spinor fields defining the enwergy need only be defined near infinity and there satysfying propagation equations.
|
0803.2019
|
David Kastor
|
David Kastor, Sourya Ray and Jennie Traschen
|
The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains
|
20 pages, 1 figure
|
Class.Quant.Grav.25:125004,2008
|
10.1088/0264-9381/25/12/125004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Killing bubble is a minimal surface that arises as the fixed surface of a
spacelike Killing field. We compute the bubble contributions to the Smarr
relations and the mass and tension first laws for spacetimes containing both
black holes and Killing bubbles. The resulting relations display an interesting
interchange symmetry between the properties of black hole horizons and those of
KK bubbles. This interchange symmetry reflects the underlying relation between
static bubbles and black holes under double analytic continuation of the time
and Kaluza-Klein directions. The thermodynamics of bubbles involve a
geometrical quantity that we call the bubble surface gravity, which we show has
several properties in common with the black hole surface gravity.
|
[
{
"created": "Thu, 13 Mar 2008 18:10:32 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kastor",
"David",
""
],
[
"Ray",
"Sourya",
""
],
[
"Traschen",
"Jennie",
""
]
] |
A Killing bubble is a minimal surface that arises as the fixed surface of a spacelike Killing field. We compute the bubble contributions to the Smarr relations and the mass and tension first laws for spacetimes containing both black holes and Killing bubbles. The resulting relations display an interesting interchange symmetry between the properties of black hole horizons and those of KK bubbles. This interchange symmetry reflects the underlying relation between static bubbles and black holes under double analytic continuation of the time and Kaluza-Klein directions. The thermodynamics of bubbles involve a geometrical quantity that we call the bubble surface gravity, which we show has several properties in common with the black hole surface gravity.
|
0807.4527
|
Mariana Grana
|
Mariana Gra\~na, Ruben Minasian, Michela Petrini and Daniel Waldram
|
T-duality, Generalized Geometry and Non-Geometric Backgrounds
|
33 pages
|
JHEP 0904:075,2009
|
10.1088/1126-6708/2009/04/075
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the action of O(d,d), and in particular T-duality, in the context
of generalized geometry, focusing on the description of so-called non-geometric
backgrounds. We derive local expressions for the pure spinors descibing the
generalized geometry dual to an SU(3) structure background, and show that the
equations for N=1 vacua are invariant under T-duality. We also propose a local
generalized geometrical definition of the charges f, H, Q and R appearing in
effective four-dimensional theories, using the Courant bracket. We then address
certain global aspects, in particular whether the local non-geometric charges
can be gauged away in, for instance, backgrounds admitting a torus action, as
well as the structure of generalized parallelizable backgrounds.
|
[
{
"created": "Mon, 28 Jul 2008 20:20:24 GMT",
"version": "v1"
}
] |
2011-08-03
|
[
[
"Graña",
"Mariana",
""
],
[
"Minasian",
"Ruben",
""
],
[
"Petrini",
"Michela",
""
],
[
"Waldram",
"Daniel",
""
]
] |
We discuss the action of O(d,d), and in particular T-duality, in the context of generalized geometry, focusing on the description of so-called non-geometric backgrounds. We derive local expressions for the pure spinors descibing the generalized geometry dual to an SU(3) structure background, and show that the equations for N=1 vacua are invariant under T-duality. We also propose a local generalized geometrical definition of the charges f, H, Q and R appearing in effective four-dimensional theories, using the Courant bracket. We then address certain global aspects, in particular whether the local non-geometric charges can be gauged away in, for instance, backgrounds admitting a torus action, as well as the structure of generalized parallelizable backgrounds.
|
1902.05847
|
Alessio Maiezza
|
Alessio Maiezza and Juan Carlos Vasquez
|
Non-local Lagrangians from Renormalons and Analyzable Functions
|
19 pages, 4 figures, references added, final version appearing in
Annals of Physics
| null |
10.1016/j.aop.2019.04.015
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We embed in a generalized Borel procedure the notion of renormalization and
renormalons. While there are several efforts in literature to have a
semi-classical understanding of the renormalons, here we argue that this is not
the fundamental issue and show how to deal with the problem. We find that the
effective Lagrangians describing the effects of renormalons are non-local in
space but local in time. The quark-antiquark potential in QCD with an infinite
number of fermions is also analyzed. The connection between the analyzable
functions, the Callan-Symanzyk equation and the renormalons, provides an
insight of a non-perturbative renormalization from the standard perturbative
renormalization approach.
|
[
{
"created": "Fri, 15 Feb 2019 15:32:23 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2019 08:20:21 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Maiezza",
"Alessio",
""
],
[
"Vasquez",
"Juan Carlos",
""
]
] |
We embed in a generalized Borel procedure the notion of renormalization and renormalons. While there are several efforts in literature to have a semi-classical understanding of the renormalons, here we argue that this is not the fundamental issue and show how to deal with the problem. We find that the effective Lagrangians describing the effects of renormalons are non-local in space but local in time. The quark-antiquark potential in QCD with an infinite number of fermions is also analyzed. The connection between the analyzable functions, the Callan-Symanzyk equation and the renormalons, provides an insight of a non-perturbative renormalization from the standard perturbative renormalization approach.
|
1401.6355
|
Yakov Shnir
|
A.Acus, E.Norvai\v{s}as and Ya. Shnir
|
Hopfions interaction from the viewpoint of the product ansatz
|
16 pages, 5 figures
| null |
10.1016/j.physletb.2014.04.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the relation between the solutions of the Skyrme model of lower
degrees and the corresponding axially symmetric Hopfions which is given by the
projection onto the coset space SU(2)/U(1). The interaction energy of the
Hopfions is evaluated directly from the product ansatz. Our results show that
if the separation between the constituents is not very small, the product
ansatz can be considered as a relatively good approximation to the general
pattern of the charge one Hopfions interaction both in repulsive and attractive
channel.
|
[
{
"created": "Wed, 22 Jan 2014 18:57:28 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Acus",
"A.",
""
],
[
"Norvaišas",
"E.",
""
],
[
"Shnir",
"Ya.",
""
]
] |
We discuss the relation between the solutions of the Skyrme model of lower degrees and the corresponding axially symmetric Hopfions which is given by the projection onto the coset space SU(2)/U(1). The interaction energy of the Hopfions is evaluated directly from the product ansatz. Our results show that if the separation between the constituents is not very small, the product ansatz can be considered as a relatively good approximation to the general pattern of the charge one Hopfions interaction both in repulsive and attractive channel.
|
0710.2086
|
David Berenstein
|
David Berenstein
|
Strings on conifolds from strong coupling dynamics, part I
|
52 pages, JHEP3 style
|
JHEP 0804:002,2008
|
10.1088/1126-6708/2008/04/002
| null |
hep-th
| null |
A method to solve various aspects of the strong coupling expansion of the
superconformal field theory duals of AdS_5 x X geometries from first principles
is proposed. The main idea is that at strong coupling the configurations that
dominate the low energy dynamics of the field theory compactified on a three
sphere are given by certain non-trivial semi-classical configurations in the
moduli space of vacua.
We show that this approach is self-consistent and permits one to express most
of the dynamics in terms of an effective N=4 SYM dynamics. This has the
advantage that some degrees of freedom that move the configurations away from
moduli space can be treated perturbatively, unifying the essential low energy
dynamics of all of these theories. We show that with this formalism one can
compute the energies of strings in the BMN limit in the Klebanov-Witten theory
from field theory considerations, matching the functional form of results found
using AdS geometry. This paper also presents various other technical results
for the semiclassical treatment of superconformal field theories.
|
[
{
"created": "Wed, 10 Oct 2007 18:24:37 GMT",
"version": "v1"
}
] |
2009-05-20
|
[
[
"Berenstein",
"David",
""
]
] |
A method to solve various aspects of the strong coupling expansion of the superconformal field theory duals of AdS_5 x X geometries from first principles is proposed. The main idea is that at strong coupling the configurations that dominate the low energy dynamics of the field theory compactified on a three sphere are given by certain non-trivial semi-classical configurations in the moduli space of vacua. We show that this approach is self-consistent and permits one to express most of the dynamics in terms of an effective N=4 SYM dynamics. This has the advantage that some degrees of freedom that move the configurations away from moduli space can be treated perturbatively, unifying the essential low energy dynamics of all of these theories. We show that with this formalism one can compute the energies of strings in the BMN limit in the Klebanov-Witten theory from field theory considerations, matching the functional form of results found using AdS geometry. This paper also presents various other technical results for the semiclassical treatment of superconformal field theories.
|
hep-th/0111236
|
Schucker
|
Thomas Schucker
|
Forces from Connes' geometry
|
corrected and extended version, 75 pages LaTeX, 8 figures, 3 tables,
appendix on groups and representations added. To appear in Springer Lecture
Notes in Physics Lectures `Topology and Geometry in Physics', Editors: Eike
Bick and Frank Steffen
|
Lect.Notes Phys.659:285-350,2005
|
10.1007/978-3-540-31532-2_6
|
CPT-01/P.4264
|
hep-th
| null |
We try to give a pedagogical introduction to Connes' derivation of the
standard model of electro-magnetic, weak and strong forces from gravity.
|
[
{
"created": "Mon, 26 Nov 2001 20:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 2002 12:04:01 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Mar 2007 15:06:46 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Schucker",
"Thomas",
""
]
] |
We try to give a pedagogical introduction to Connes' derivation of the standard model of electro-magnetic, weak and strong forces from gravity.
|
1511.07143
|
Yu-Xiao Liu
|
Wen-Di Guo, Qi-Ming Fu, Yu-Peng Zhang, Yu-Xiao Liu
|
Tensor perturbations of $f(T)$-branes
|
7 pages, 3 figures
|
Phys. Rev. D 93, 044002 (2016)
|
10.1103/PhysRevD.93.044002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the tensor perturbation of the $f(T)$ brane embedded in an AdS$_5$
spacetime. With the transverse-traceless condition, we get the tensor
perturbation equation of the $f(T)$ brane and show that the stability of this
brane system can be ensured. In addition, we take $ f(T)=T+\alpha T^2$ as an
example to analyse the localization problem of the graviton zero mode. It is
shown that the graviton zero mode can be localized on the brane.
|
[
{
"created": "Mon, 23 Nov 2015 09:15:11 GMT",
"version": "v1"
}
] |
2016-02-10
|
[
[
"Guo",
"Wen-Di",
""
],
[
"Fu",
"Qi-Ming",
""
],
[
"Zhang",
"Yu-Peng",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
We explore the tensor perturbation of the $f(T)$ brane embedded in an AdS$_5$ spacetime. With the transverse-traceless condition, we get the tensor perturbation equation of the $f(T)$ brane and show that the stability of this brane system can be ensured. In addition, we take $ f(T)=T+\alpha T^2$ as an example to analyse the localization problem of the graviton zero mode. It is shown that the graviton zero mode can be localized on the brane.
|
1103.3121
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
S-duality of D-brane action at order $O(\alpha'^2)$
|
Latex file, 14 pages, v5: A mistake in the dilaton factor of the
Chern-Simons couplings is corrected. As a result, there is only one modular
function in all D$_3$-brane couplings
|
Phys.Lett.B701:465-470,2011
|
10.1016/j.physletb.2011.06.004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the compatibility of the DBI and the Chern-Simons actions with the
T-duality transformations, the curvature corrections to these actions have been
recently extended to include the quadratic B-field couplings at order
$O(\alpha'^2)$. In this paper, we use the compatibility of the couplings on
D$_3$-brane with the S-duality to find the nonlinear RR couplings at order
$O(\alpha'^2)$. We confirm the quadratic RR couplings in the DBI part with the
disk-level scattering amplitude. Using the regularized non-holomorphic
Eisenstein series $E_1$, we then write the results in $SL(2,Z)$ invariant form.
|
[
{
"created": "Wed, 16 Mar 2011 08:03:24 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2011 11:46:33 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2011 04:57:38 GMT",
"version": "v3"
},
{
"created": "Sun, 10 Jul 2011 10:46:10 GMT",
"version": "v4"
},
{
"created": "Wed, 25 Dec 2013 13:59:00 GMT",
"version": "v5"
}
] |
2013-12-30
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
Using the compatibility of the DBI and the Chern-Simons actions with the T-duality transformations, the curvature corrections to these actions have been recently extended to include the quadratic B-field couplings at order $O(\alpha'^2)$. In this paper, we use the compatibility of the couplings on D$_3$-brane with the S-duality to find the nonlinear RR couplings at order $O(\alpha'^2)$. We confirm the quadratic RR couplings in the DBI part with the disk-level scattering amplitude. Using the regularized non-holomorphic Eisenstein series $E_1$, we then write the results in $SL(2,Z)$ invariant form.
|
1303.6641
|
Leopoldo A. Pando Zayas
|
Leopoldo A. Pando Zayas and Cheng Peng
|
Toward a Higher-Spin Dual of Interacting Field Theories
|
18 pages. v2: References added, JHEP version
| null | null |
MCTP-13-03, NSF-KITP-13-039
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show explicitly how the exact renormalization group equation of
interacting vector models in the large N limit can be mapped into certain
higher-spin equations of motion. The equations of motion are generalized to
incorporate a multiparticle extension of the higher-spin algebra, which
reflects the "multitrace" nature of the interactions in the dual field theory
from the holographic point of view.
|
[
{
"created": "Tue, 26 Mar 2013 20:00:12 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2013 09:55:23 GMT",
"version": "v2"
}
] |
2013-07-29
|
[
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Peng",
"Cheng",
""
]
] |
We show explicitly how the exact renormalization group equation of interacting vector models in the large N limit can be mapped into certain higher-spin equations of motion. The equations of motion are generalized to incorporate a multiparticle extension of the higher-spin algebra, which reflects the "multitrace" nature of the interactions in the dual field theory from the holographic point of view.
|
hep-th/0412291
|
Pavel Pobylitsa
|
P.V. Pobylitsa
|
Baryon wave function in large-Nc QCD: Universality, nonlinear evolution
equation and asymptotic limit
|
44 pages
|
Phys.Rev. D71 (2005) 076002
|
10.1103/PhysRevD.71.076002
| null |
hep-th hep-ph
| null |
The 1/Nc expansion is formulated for the baryon wave function in terms of a
specially constructed generating functional. The leading order of this 1/Nc
expansion is universal for all low-lying baryons [including the O(1/Nc) and
O(Nc^0) excited resonances] and for baryon-meson scattering states. A nonlinear
evolution equation of Hamilton-Jacobi type is derived for the generating
functional describing the baryon distribution amplitude in the large-Nc limit.
In the asymptotic regime this nonlinear equation is solved analytically. The
anomalous dimensions of the leading-twist baryon operators diagonalizing the
evolution are computed analytically up to the next-to-leading order of the 1/Nc
expansion.
|
[
{
"created": "Thu, 23 Dec 2004 20:45:09 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2005 20:53:26 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Mar 2005 18:33:33 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Pobylitsa",
"P. V.",
""
]
] |
The 1/Nc expansion is formulated for the baryon wave function in terms of a specially constructed generating functional. The leading order of this 1/Nc expansion is universal for all low-lying baryons [including the O(1/Nc) and O(Nc^0) excited resonances] and for baryon-meson scattering states. A nonlinear evolution equation of Hamilton-Jacobi type is derived for the generating functional describing the baryon distribution amplitude in the large-Nc limit. In the asymptotic regime this nonlinear equation is solved analytically. The anomalous dimensions of the leading-twist baryon operators diagonalizing the evolution are computed analytically up to the next-to-leading order of the 1/Nc expansion.
|
hep-th/0611006
|
Patrick J. Fox
|
Nathaniel J. Craig, Patrick J. Fox and Jay G. Wacker
|
Reheating Metastable O'Raifeartaigh Models
|
21 pages, 1 figure. Typos corrected and some references added
|
Phys.Rev.D75:085006,2007
|
10.1103/PhysRevD.75.085006
|
SLAC-PUB-12215, LBNL-62024
|
hep-th
| null |
In theories with multiple vacua, reheating to a temperature greater than the
height of a barrier can stimulate transitions from a desirable metastable
vacuum to a lower energy state. We discuss the constraints this places on
various theories and demonstrate that in a class of supersymmetric models this
transition does not occur even for arbitrarily high reheating temperature.
|
[
{
"created": "Wed, 1 Nov 2006 01:53:33 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2006 23:39:35 GMT",
"version": "v2"
}
] |
2009-09-29
|
[
[
"Craig",
"Nathaniel J.",
""
],
[
"Fox",
"Patrick J.",
""
],
[
"Wacker",
"Jay G.",
""
]
] |
In theories with multiple vacua, reheating to a temperature greater than the height of a barrier can stimulate transitions from a desirable metastable vacuum to a lower energy state. We discuss the constraints this places on various theories and demonstrate that in a class of supersymmetric models this transition does not occur even for arbitrarily high reheating temperature.
|
hep-th/0606258
|
Richard MacKenzie
|
M. Deshaies-Jacques, R. MacKenzie
|
Maxwell-Chern-Simons Q-balls
|
6 pages. Talk given at Theory CANADA 2, Perimeter Institute
|
Can. J. Phys. 85, 693 (2007)
|
10.1139/P07-063
| null |
hep-th
| null |
We examine the energetics of $Q$-balls in Maxwell-Chern-Simons theory in two
space dimensions. Whereas gauged $Q$-balls are unallowed in this dimension in
the absence of a Chern-Simons term due to a divergent electromagnetic energy,
the addition of a Chern-Simons term introduces a gauge field mass and renders
finite the otherwise-divergent electromagnetic energy of the $Q$-ball. Similar
to the case of gauged $Q$-balls, Maxwell-Chern-Simons $Q$-balls have a maximal
charge. The properties of these solitons are studied as a function of the
parameters of the model considered, using a numerical technique known as
relaxation. The results are compared to expectations based on qualitative
arguments.
|
[
{
"created": "Tue, 27 Jun 2006 16:12:20 GMT",
"version": "v1"
}
] |
2013-02-07
|
[
[
"Deshaies-Jacques",
"M.",
""
],
[
"MacKenzie",
"R.",
""
]
] |
We examine the energetics of $Q$-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged $Q$-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the addition of a Chern-Simons term introduces a gauge field mass and renders finite the otherwise-divergent electromagnetic energy of the $Q$-ball. Similar to the case of gauged $Q$-balls, Maxwell-Chern-Simons $Q$-balls have a maximal charge. The properties of these solitons are studied as a function of the parameters of the model considered, using a numerical technique known as relaxation. The results are compared to expectations based on qualitative arguments.
|
0901.0049
|
Hyeong-Chan Kim
|
Hyeong-Chan Kim, Youngone Lee, Chaiho Rim, and Jae Hyung Yee
|
Scalar Field theory in $\kappa$-Minkowski spacetime from twist
|
14 pages, no figures, minor changes, add references
|
J. Math. Phys. 50, 102304 (2009)
|
10.1063/1.3250148
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the twist deformation of $U(igl(4,R))$, the linear part of the
diffeomorphism, we define a scalar function and construct a free scalar field
theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum
space turns out to differ only in integration measure from the commutative
theory.
|
[
{
"created": "Wed, 31 Dec 2008 04:07:13 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jan 2009 05:34:16 GMT",
"version": "v2"
}
] |
2010-03-04
|
[
[
"Kim",
"Hyeong-Chan",
""
],
[
"Lee",
"Youngone",
""
],
[
"Rim",
"Chaiho",
""
],
[
"Yee",
"Jae Hyung",
""
]
] |
Using the twist deformation of $U(igl(4,R))$, the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum space turns out to differ only in integration measure from the commutative theory.
|
hep-th/0409187
|
Haidong Feng
|
Haidong Feng, Warren Siegel
|
Gauge-covariant S-matrices for field theory and strings
|
11 pages, 3 figures, reference added
|
Phys.Rev. D71 (2005) 106001
|
10.1103/PhysRevD.71.106001
| null |
hep-th
| null |
S-matrices can be written Lorentz covariantly in terms of free field
strengths for vector states, allowing arbitrary gauge choices. In string theory
the vertex operators can be chosen so this gauge invariance is automatic. As
examples we give four-vector (super)string tree amplitudes in this form, and
find the field theory actions that give the first three orders in the slope.
|
[
{
"created": "Fri, 17 Sep 2004 16:38:35 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Sep 2004 19:30:46 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Feng",
"Haidong",
""
],
[
"Siegel",
"Warren",
""
]
] |
S-matrices can be written Lorentz covariantly in terms of free field strengths for vector states, allowing arbitrary gauge choices. In string theory the vertex operators can be chosen so this gauge invariance is automatic. As examples we give four-vector (super)string tree amplitudes in this form, and find the field theory actions that give the first three orders in the slope.
|
hep-th/0212229
|
Peng-ming Zhang
|
Yi-shi Duan and Peng-ming Zhang
|
Decomposing the SU(N) Connection and the Wu-Yang Potential
|
9 pages
|
Mod.Phys.Lett. A17 (2002) 2283-2287
|
10.1142/S0217732302008940
| null |
hep-th
| null |
Based on the decomposition of SU(2) gauge field, we derive a generalization
of the decomposition theory for the SU(N) gauge field. We thus obtain the
invariant electro-magnetic tensors of SU(N) groups and the extended Wu-Yang
potentials. The sourceless solutions are also discussed.
|
[
{
"created": "Thu, 19 Dec 2002 01:28:37 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Duan",
"Yi-shi",
""
],
[
"Zhang",
"Peng-ming",
""
]
] |
Based on the decomposition of SU(2) gauge field, we derive a generalization of the decomposition theory for the SU(N) gauge field. We thus obtain the invariant electro-magnetic tensors of SU(N) groups and the extended Wu-Yang potentials. The sourceless solutions are also discussed.
|
2011.05917
|
Modjtaba Shokrian Zini
|
Michael Freedman and Modjtaba Shokrian Zini
|
The Universe from a Single Particle
|
Published in JHEP
| null |
10.1007/JHEP01(2021)140
| null |
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the emergence of many-body physics from quantum mechanics via
spontaneous symmetry breaking. To this end, we study potentials which are
functionals on the space of Hamiltonians enjoying an unstable critical point
corresponding to a random quantum mechanical system (the Gaussian unitary
ensemble), but also less symmetrical local minima corresponding to interacting
systems at the level of operators.
|
[
{
"created": "Wed, 11 Nov 2020 17:17:17 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jan 2021 16:30:43 GMT",
"version": "v2"
}
] |
2021-01-26
|
[
[
"Freedman",
"Michael",
""
],
[
"Zini",
"Modjtaba Shokrian",
""
]
] |
We explore the emergence of many-body physics from quantum mechanics via spontaneous symmetry breaking. To this end, we study potentials which are functionals on the space of Hamiltonians enjoying an unstable critical point corresponding to a random quantum mechanical system (the Gaussian unitary ensemble), but also less symmetrical local minima corresponding to interacting systems at the level of operators.
|
2109.10907
|
Daniel Zhang
|
Mathew Bullimore, Daniel Zhang
|
3d $\mathcal{N}=4$ Gauge Theories on an Elliptic Curve
|
101 pages, 21 figures. v2: version published in SciPost. References
updated, typos corrected
|
SciPost Phys. 13, 005 (2022)
|
10.21468/SciPostPhys.13.1.005
| null |
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on an
elliptic curve, with the aim to provide a physical realisation of recent
constructions in equivariant elliptic cohomology of symplectic resolutions. We
first study the Berry connection for supersymmetric ground states in the
presence of mass parameters and flat connections for flavour symmetries, which
results in a natural construction of the equivariant elliptic cohomology
variety of the Higgs branch. We then investigate supersymmetric boundary
conditions and show from an analysis of boundary 't Hooft anomalies that their
boundary amplitudes represent equivariant elliptic cohomology classes. We
analyse two distinguished classes of boundary conditions known as exceptional
Dirichlet and enriched Neumann, which are exchanged under mirror symmetry. We
show that the boundary amplitudes of the latter reproduce elliptic stable
envelopes introduced by Aganagic-Okounkov, and relate boundary amplitudes of
the mirror symmetry interface to the mother function in equivariant elliptic
cohomology. Finally, we consider correlation functions of Janus interfaces for
varying mass parameters, recovering the chamber R-matrices of elliptic
integrable systems.
|
[
{
"created": "Wed, 22 Sep 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jul 2022 11:44:48 GMT",
"version": "v2"
}
] |
2022-08-02
|
[
[
"Bullimore",
"Mathew",
""
],
[
"Zhang",
"Daniel",
""
]
] |
This paper studies $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on an elliptic curve, with the aim to provide a physical realisation of recent constructions in equivariant elliptic cohomology of symplectic resolutions. We first study the Berry connection for supersymmetric ground states in the presence of mass parameters and flat connections for flavour symmetries, which results in a natural construction of the equivariant elliptic cohomology variety of the Higgs branch. We then investigate supersymmetric boundary conditions and show from an analysis of boundary 't Hooft anomalies that their boundary amplitudes represent equivariant elliptic cohomology classes. We analyse two distinguished classes of boundary conditions known as exceptional Dirichlet and enriched Neumann, which are exchanged under mirror symmetry. We show that the boundary amplitudes of the latter reproduce elliptic stable envelopes introduced by Aganagic-Okounkov, and relate boundary amplitudes of the mirror symmetry interface to the mother function in equivariant elliptic cohomology. Finally, we consider correlation functions of Janus interfaces for varying mass parameters, recovering the chamber R-matrices of elliptic integrable systems.
|
1105.2475
|
Matthieu Tissier
|
Matthieu Tissier, Nicolas Wschebor
|
An Infrared Safe perturbative approach to Yang-Mills correlators
|
16 pages, 7 figures, accepted for publication in PRD
| null |
10.1103/PhysRevD.84.045018
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the 2-point correlation functions of Yang-Mills theory in the
Landau gauge by means of a massive extension of the Faddeev-Popov action. This
model is based on some phenomenological arguments and constraints on the
ultraviolet behavior of the theory. We show that the running coupling constant
remains finite at all energy scales (no Landau pole) for $d>2$ and argue that
the relevant parameter of perturbation theory is significantly smaller than 1
at all energies. Perturbative results at low orders are therefore expected to
be satisfactory and we indeed find a very good agreement between 1-loop
correlation functions and the lattice simulations, in 3 and 4 dimensions.
Dimension 2 is shown to play the role of an upper critical dimension, which
explains why the lattice predictions are qualitatively different from those in
higher dimensions.
|
[
{
"created": "Thu, 12 May 2011 13:47:21 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 2011 19:26:44 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Tissier",
"Matthieu",
""
],
[
"Wschebor",
"Nicolas",
""
]
] |
We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet behavior of the theory. We show that the running coupling constant remains finite at all energy scales (no Landau pole) for $d>2$ and argue that the relevant parameter of perturbation theory is significantly smaller than 1 at all energies. Perturbative results at low orders are therefore expected to be satisfactory and we indeed find a very good agreement between 1-loop correlation functions and the lattice simulations, in 3 and 4 dimensions. Dimension 2 is shown to play the role of an upper critical dimension, which explains why the lattice predictions are qualitatively different from those in higher dimensions.
|
0809.4257
|
Jaume Garriga
|
J. Garriga, A. Vilenkin
|
Holographic Multiverse
|
23 pages, 4 figures. Replaced to match published version
|
JCAP 0901:021,2009
|
10.1088/1475-7516/2009/01/021
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the idea that the dynamics of the inflationary multiverse is
encoded in its future boundary, where it is described by a lower dimensional
theory which is conformally invariant in the UV. We propose that a measure for
the multiverse, which is needed in order to extract quantitative probabilistic
predictions, can be derived in terms of the boundary theory by imposing a UV
cutoff. In the inflationary bulk, this is closely related (though not
identical) to the so-called scale factor cutoff measure.
|
[
{
"created": "Wed, 24 Sep 2008 19:53:54 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Nov 2008 16:41:32 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Jan 2009 14:05:14 GMT",
"version": "v3"
}
] |
2009-01-16
|
[
[
"Garriga",
"J.",
""
],
[
"Vilenkin",
"A.",
""
]
] |
We explore the idea that the dynamics of the inflationary multiverse is encoded in its future boundary, where it is described by a lower dimensional theory which is conformally invariant in the UV. We propose that a measure for the multiverse, which is needed in order to extract quantitative probabilistic predictions, can be derived in terms of the boundary theory by imposing a UV cutoff. In the inflationary bulk, this is closely related (though not identical) to the so-called scale factor cutoff measure.
|
2107.00053
|
Tom\'as Codina T.Codina
|
Tomas Codina, Olaf Hohm and Diego Marques
|
General String Cosmologies at Order $\alpha'{}^{\,3}$
|
v2: 20 pages, important corrections that affect the coefficient
$c_{4,1}$ for bosonic and heterotic string theory; all other results
unchanged
| null |
10.1103/PhysRevD.104.106007
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the cosmological reduction of general string theories, including
bosonic, heterotic and type II string theory to order $\alpha'^{3}$, i.e., with
up to eight derivatives. To this end we refine recently introduced methods that
allow one to bring the reduced theory in one dimension to a canonical form with
only first-order time derivatives. The resulting theories are compatible with a
continuous $O(d,d,\mathbb{R})$ invariance, which in turn fixes the B-field
couplings.
|
[
{
"created": "Wed, 30 Jun 2021 18:32:58 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2021 18:39:06 GMT",
"version": "v2"
}
] |
2021-11-24
|
[
[
"Codina",
"Tomas",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Marques",
"Diego",
""
]
] |
We compute the cosmological reduction of general string theories, including bosonic, heterotic and type II string theory to order $\alpha'^{3}$, i.e., with up to eight derivatives. To this end we refine recently introduced methods that allow one to bring the reduced theory in one dimension to a canonical form with only first-order time derivatives. The resulting theories are compatible with a continuous $O(d,d,\mathbb{R})$ invariance, which in turn fixes the B-field couplings.
|
hep-th/9702039
|
Dmitri Vladimirovich Galtsov
|
D.V. Gal'tsov and S.A. Sharakin (Moscow State University)
|
Matrix Ernst potentials for EMDA with multiple vector fields
|
Latex file, no figures
|
Phys.Lett.B399:250-257,1997
|
10.1016/S0370-2693(97)00295-5
|
DTP-MSU/97-05
|
hep-th
| null |
We show that the Einstein-Maxwell-Dilaton-Axion system with multiple vector
fields (bosonic sector of the D=4, N=4 supergravity) restricted to spacetimes
possessing a non-null Killing vector field admits a concise representation in
terms of the Ernst-type matrix valued potentials. A constructive derivation of
the SWIP solutions is given and a colliding waves counterpart of the DARN-NUT
solution is obtained. SU(m,m) chiral representation of the two-dimensionally
reduced system is derived and the corresponding Kramer-Neugebauer-type map is
presented.
|
[
{
"created": "Sat, 22 Jun 1996 00:53:02 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gal'tsov",
"D. V.",
"",
"Moscow State University"
],
[
"Sharakin",
"S. A.",
"",
"Moscow State University"
]
] |
We show that the Einstein-Maxwell-Dilaton-Axion system with multiple vector fields (bosonic sector of the D=4, N=4 supergravity) restricted to spacetimes possessing a non-null Killing vector field admits a concise representation in terms of the Ernst-type matrix valued potentials. A constructive derivation of the SWIP solutions is given and a colliding waves counterpart of the DARN-NUT solution is obtained. SU(m,m) chiral representation of the two-dimensionally reduced system is derived and the corresponding Kramer-Neugebauer-type map is presented.
|
hep-th/9309146
|
Gerard Watts
|
P. Bowcock and G.M.T. Watts
|
Null vectors, 3-point and 4-point functions in conformal field theory
|
10 pages, LaTeX 2.09, DAMTP-93-48
|
Theor.Math.Phys. 98 (1994) 350-356; Teor.Mat.Fiz. 98 (1994)
500-508
|
10.1007/BF01102212
| null |
hep-th
| null |
We consider 3-point and 4-point correlation functions in a conformal field
theory with a W-algebra symmetry. Whereas in a theory with only Virasoro
symmetry the three point functions of descendants fields are uniquely
determined by the three point function of the corresponding primary fields this
is not the case for a theory with $W_3$ algebra symmetry. The generic 3-point
functions of W-descendant fields have a countable degree of arbitrariness. We
find, however, that if one of the fields belongs to a representation with null
states that this has implications for the 3-point functions. In particular if
one of the representations is doubly-degenerate then the 3-point function is
determined up to an overall constant. We extend our analysis to 4-point
functions and find that if two of the W-primary fields are doubly degenerate
then the intermediate channels are limited to a finite set and that the
corresponding chiral blocks are determined up to an overall constant. This
corresponds to the existence of a linear differential equation for the chiral
blocks with two completely degenerate fields as has been found in the work of
Bajnok~et~al.
|
[
{
"created": "Tue, 28 Sep 1993 09:12:41 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bowcock",
"P.",
""
],
[
"Watts",
"G. M. T.",
""
]
] |
We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three point functions of descendants fields are uniquely determined by the three point function of the corresponding primary fields this is not the case for a theory with $W_3$ algebra symmetry. The generic 3-point functions of W-descendant fields have a countable degree of arbitrariness. We find, however, that if one of the fields belongs to a representation with null states that this has implications for the 3-point functions. In particular if one of the representations is doubly-degenerate then the 3-point function is determined up to an overall constant. We extend our analysis to 4-point functions and find that if two of the W-primary fields are doubly degenerate then the intermediate channels are limited to a finite set and that the corresponding chiral blocks are determined up to an overall constant. This corresponds to the existence of a linear differential equation for the chiral blocks with two completely degenerate fields as has been found in the work of Bajnok~et~al.
|
hep-th/0211262
|
Oleg Zaslavskii
|
O. B. Zaslavskii
|
Regular self-consistent geometries with infinite quantum backreaction in
2D dilaton gravity and black hole thermodynamics: unfamiliar features of
familiar models
|
43 pages, To appear in "Bekenstein Issues" of Foundations of Physics
|
Found.Phys.33:1,2003
|
10.1023/A:1022837108018
| null |
hep-th gr-qc
| null |
We analyze the rather unusual properties of some exact solutions in 2D
dilaton gravity for which infinite quantum stresses on the Killing horizon can
be compatible with regularity of the geometry. In particular, the Boulware
state can support a regular horizon. We show that such solutions are contained
in some well-known exactly solvable models (for example, RST). Formally, they
appear to account for an additional coefficient $B$ in the solutions (for the
same Lagrangian which contains also ''traditional'' solutions) that gives rise
to the deviation of temperature $T$ from its Hawking value $T_{H}$. The
Lorentzian geometry, which is a self-consistent solution of the semiclassical
field equations, in such models, is smooth even at $B\neq 0$ and there is no
need to put B=0 ($T=T_{H}$) to smooth it out$.$ We show how the presence of
$B\neq 0$ affects the structure of spacetime. In contrast to ''usual'' black
holes, full fledged thermodynamic interpretation, including definite value of
entropy, can be ascribed (for a rather wide class of models) to extremal
horizons, not to nonextreme ones. We find also new exact solutions for
''usual'' black holes (with $T=T_{H}$). The properties under discussion arise
in the \QTR{it}{weak}-coupling regime of the effective constant of
dilaton-gravity interaction. Extension of features, traced in 2D models, to 4D
dilaton gravity leads, for some special models, to exceptional nonextreme black
holes having no own thermal properties.
|
[
{
"created": "Wed, 27 Nov 2002 18:06:05 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Zaslavskii",
"O. B.",
""
]
] |
We analyze the rather unusual properties of some exact solutions in 2D dilaton gravity for which infinite quantum stresses on the Killing horizon can be compatible with regularity of the geometry. In particular, the Boulware state can support a regular horizon. We show that such solutions are contained in some well-known exactly solvable models (for example, RST). Formally, they appear to account for an additional coefficient $B$ in the solutions (for the same Lagrangian which contains also ''traditional'' solutions) that gives rise to the deviation of temperature $T$ from its Hawking value $T_{H}$. The Lorentzian geometry, which is a self-consistent solution of the semiclassical field equations, in such models, is smooth even at $B\neq 0$ and there is no need to put B=0 ($T=T_{H}$) to smooth it out$.$ We show how the presence of $B\neq 0$ affects the structure of spacetime. In contrast to ''usual'' black holes, full fledged thermodynamic interpretation, including definite value of entropy, can be ascribed (for a rather wide class of models) to extremal horizons, not to nonextreme ones. We find also new exact solutions for ''usual'' black holes (with $T=T_{H}$). The properties under discussion arise in the \QTR{it}{weak}-coupling regime of the effective constant of dilaton-gravity interaction. Extension of features, traced in 2D models, to 4D dilaton gravity leads, for some special models, to exceptional nonextreme black holes having no own thermal properties.
|
2001.00124
|
Dubravko Klabu\v{c}ar
|
Ivan Dadi\'c and Dubravko Klabu\v{c}ar
|
Causality and Renormalization in Finite-Time-Path Out-of-Equilibrium
$\phi^3$ QFT
|
MDPI latex definitions, 11 pages, 2 figures, gives correctly Eq. (10)
which was written erroneously in the version published in Particles 2019, 2,
92-102, but without affecting the rest of the paper
|
Particles 2019, 2, 92-102
|
10.3390/particles2010008
|
ZTF-EP-19-06
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Our aim is to contribute to quantum field theory (QFT) formalisms useful for
descriptions of short time phenomena, dominant especially in heavy ion
collisions. We formulate out-of-equilibrium QFT within the finite-time-path
formalism (FTP) and renormalization theory (RT). The potential conflict of FTP
and RT is investigated in $g \phi^3$ QFT, by using the retarded/advanced
($R/A$) basis of Green functions and dimensional renormalization (DR). For
example, vertices immediately after (in time) divergent self-energy loops do
not conserve energy, as integrals diverge. We "repair" them, while keeping
$d<4$, to obtain energy conservation at those vertices. Already in the S-matrix
theory, the renormalized, finite part of Feynman self-energy $\Sigma_{F}(p_0)$
does not vanish when $|p_0|\rightarrow\infty$ and cannot be split to retarded
and advanced parts. In the Glaser--Epstein approach, the causality is repaired
in the composite object $G_F(p_0)\Sigma_{F}(p_0)$. In the FTP approach, after
repairing the vertices, the corresponding composite objects are
$G_R(p_0)\Sigma_{R}(p_0)$ and $\Sigma_{A}(p_0)G_A(p_0)$. In the limit
$d\rightarrow 4$, one obtains causal QFT. The tadpole contribution splits into
diverging and finite parts. The diverging, constant component is eliminated by
the renormalization condition $\langle 0|\phi|0\rangle =0$ of the S-matrix
theory. The finite, oscillating energy-nonconserving tadpole contributions
vanish in the limit $t\rightarrow \infty $.
|
[
{
"created": "Wed, 1 Jan 2020 02:13:30 GMT",
"version": "v1"
}
] |
2020-01-03
|
[
[
"Dadić",
"Ivan",
""
],
[
"Klabučar",
"Dubravko",
""
]
] |
Our aim is to contribute to quantum field theory (QFT) formalisms useful for descriptions of short time phenomena, dominant especially in heavy ion collisions. We formulate out-of-equilibrium QFT within the finite-time-path formalism (FTP) and renormalization theory (RT). The potential conflict of FTP and RT is investigated in $g \phi^3$ QFT, by using the retarded/advanced ($R/A$) basis of Green functions and dimensional renormalization (DR). For example, vertices immediately after (in time) divergent self-energy loops do not conserve energy, as integrals diverge. We "repair" them, while keeping $d<4$, to obtain energy conservation at those vertices. Already in the S-matrix theory, the renormalized, finite part of Feynman self-energy $\Sigma_{F}(p_0)$ does not vanish when $|p_0|\rightarrow\infty$ and cannot be split to retarded and advanced parts. In the Glaser--Epstein approach, the causality is repaired in the composite object $G_F(p_0)\Sigma_{F}(p_0)$. In the FTP approach, after repairing the vertices, the corresponding composite objects are $G_R(p_0)\Sigma_{R}(p_0)$ and $\Sigma_{A}(p_0)G_A(p_0)$. In the limit $d\rightarrow 4$, one obtains causal QFT. The tadpole contribution splits into diverging and finite parts. The diverging, constant component is eliminated by the renormalization condition $\langle 0|\phi|0\rangle =0$ of the S-matrix theory. The finite, oscillating energy-nonconserving tadpole contributions vanish in the limit $t\rightarrow \infty $.
|
hep-th/0405119
|
Balachandran Sathiapalan
|
B. Sathiapalan
|
Loop Variables and Gauge Invariance in Closed Bosonic String Theory
|
17 pages, Latex file
|
Mod.Phys.Lett. A19 (2004) 2857
|
10.1142/S0217732304015713
|
IMSC/2004/04/19
|
hep-th
| null |
We extend an earlier proposal for a gauge invariant description of off-shell
open strings (at tree level), using loop variables, to off-shell closed strings
(at tree level). The basic idea is to describe the closed string amplitudes as
a product of two open string amplitudes (using the technique of kawai, Lewellen
and Tye). The loop variable techniques that were used earlier for open strings
can be applied here {\it mutatis mutandis}. It is a proposal for a theory whose
on-shell amplitudes coincide with those of the closed bosonic string in 26
dimensions. It is also gauge invariant off-shell. As was the case with the open
string, the interacting closed string looks like a free closed string thickened
to a band.
|
[
{
"created": "Thu, 13 May 2004 07:38:27 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Sathiapalan",
"B.",
""
]
] |
We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a product of two open string amplitudes (using the technique of kawai, Lewellen and Tye). The loop variable techniques that were used earlier for open strings can be applied here {\it mutatis mutandis}. It is a proposal for a theory whose on-shell amplitudes coincide with those of the closed bosonic string in 26 dimensions. It is also gauge invariant off-shell. As was the case with the open string, the interacting closed string looks like a free closed string thickened to a band.
|
hep-th/9609014
|
Shoichi Ichinose
|
Shoichi Ichinose
|
New Algorithm for Tensor Calculation in Field Theories
|
27 pages, 17 figures, epsbox.sty included, to appear in
Int.Jour.Mod.Phys.C
|
Int.J.Mod.Phys. C9 (1998) 243-264
|
10.1142/S0129183198000182
|
US-96-05
|
hep-th
| null |
Tensor calculation of suffix-contraction is carried out by a C-program.
Tensors are represented graphically, and the algorithm makes use of the
topology of graphs. Classical and quantum gravity, in the weak-field
perturbative approach, is a special interest. Examples of the leading order
calculation of some general invariants such as $R_{\mn\ls}R^{\mn\ls}$ are
given. Application to Weyl anomaly calculation is commented.
|
[
{
"created": "Sat, 31 Aug 1996 18:55:44 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Jan 1998 04:00:37 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ichinose",
"Shoichi",
""
]
] |
Tensor calculation of suffix-contraction is carried out by a C-program. Tensors are represented graphically, and the algorithm makes use of the topology of graphs. Classical and quantum gravity, in the weak-field perturbative approach, is a special interest. Examples of the leading order calculation of some general invariants such as $R_{\mn\ls}R^{\mn\ls}$ are given. Application to Weyl anomaly calculation is commented.
|
hep-th/0210132
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in
Dimensions D \le 8
|
22 pages, no figures. Considerable revisions, in particular, a new
Appendix added for 8D self-dual Yang-Mills in Superspace
|
JHEP 0404:020,2004
|
10.1088/1126-6708/2004/04/020
|
CSULB-PA-02-5
|
hep-th
| null |
We establish N=(1/8,1) supersymmetric Yang-Mills vector multiplet with
generalized self-duality in Euclidian eight-dimensions with the original full
SO(8) Lorentz covariance reduced to SO(7). The key ingredient is the usage of
octonion structure constants made compatible with SO(7) covariance and
chirality in 8D. By a simple dimensional reduction together with extra
constraints, we derive N=1/8+7/8 supersymmetric self-dual vector multiplet in
7D with the full SO(7) Lorentz covariance reduced to G_2. We find that extra
constraints needed on fields and supersymmetry parameter are not obtained from
a simple dimensional reduction from 8D. We conjecture that other self-dual
supersymmetric theories in lower dimensions D =6 and 4 with respective reduced
global Lorentz covariances such as SU(3) \subset SO(6) and SU(2) \subset SO(4)
can be obtained in a similar fashion.
|
[
{
"created": "Tue, 15 Oct 2002 05:09:58 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2002 05:15:30 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Mar 2003 03:54:46 GMT",
"version": "v3"
},
{
"created": "Sun, 18 Apr 2004 03:57:29 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
We establish N=(1/8,1) supersymmetric Yang-Mills vector multiplet with generalized self-duality in Euclidian eight-dimensions with the original full SO(8) Lorentz covariance reduced to SO(7). The key ingredient is the usage of octonion structure constants made compatible with SO(7) covariance and chirality in 8D. By a simple dimensional reduction together with extra constraints, we derive N=1/8+7/8 supersymmetric self-dual vector multiplet in 7D with the full SO(7) Lorentz covariance reduced to G_2. We find that extra constraints needed on fields and supersymmetry parameter are not obtained from a simple dimensional reduction from 8D. We conjecture that other self-dual supersymmetric theories in lower dimensions D =6 and 4 with respective reduced global Lorentz covariances such as SU(3) \subset SO(6) and SU(2) \subset SO(4) can be obtained in a similar fashion.
|
1201.6452
|
Suvrat Raju
|
Suvrat Raju
|
Four Point Functions of the Stress Tensor and Conserved Currents in
AdS_4/CFT_3
|
44 pages. Zipped source includes a Mathematica notebook (v2)
discussion section revised
| null |
10.1103/PhysRevD.85.126008
|
HRI/ST/1202
|
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We compute four point functions of the stress tensor and conserved currents
in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the
bulk theory, which we take to be either pure gravity or Yang Mills theory in
AdS. We bypass the tedious evaluation of Witten diagrams using recently
developed recursion relations for these correlators. In this approach, the four
point function is obtained as the sum of residues of a rational function at
easily identifiable poles. We write down an explicit formula for the four point
correlator with arbitrary external helicities and momenta. We verify that,
precisely as conjectured in a companion paper, the Maximally Helicity Violating
(MHV) amplitude of gravitons or gluons appears as the coefficient of a
specified singularity in the MHV stress-tensor or current correlator. We
comment on the remarkably simple analytic structure of our answers in momentum
space.
|
[
{
"created": "Tue, 31 Jan 2012 06:06:06 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2012 20:01:49 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Raju",
"Suvrat",
""
]
] |
We compute four point functions of the stress tensor and conserved currents in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the bulk theory, which we take to be either pure gravity or Yang Mills theory in AdS. We bypass the tedious evaluation of Witten diagrams using recently developed recursion relations for these correlators. In this approach, the four point function is obtained as the sum of residues of a rational function at easily identifiable poles. We write down an explicit formula for the four point correlator with arbitrary external helicities and momenta. We verify that, precisely as conjectured in a companion paper, the Maximally Helicity Violating (MHV) amplitude of gravitons or gluons appears as the coefficient of a specified singularity in the MHV stress-tensor or current correlator. We comment on the remarkably simple analytic structure of our answers in momentum space.
|
hep-th/0501034
|
J. Gamboa
|
J. Gamboa and J. Lopez-Sarrion
|
U(1) Noncommutative Gauge Fields and Magnetogenesis
|
4 pages
|
Phys.Rev. D71 (2005) 067702
|
10.1103/PhysRevD.71.067702
|
usach-05-01
|
hep-th astro-ph gr-qc
| null |
The connection between the Lorentz invariance violation in the lagrangean
context and the quantum theory of noncommutative fields is established for the
U(1) gauge field. The modified Maxwell equations coincide with other
derivations obtained using different procedures. These modified equations are
interpreted as describing macroscopic ones in a polarized and magnetized
medium. A tiny magnetic field (seed) emerges as particular static solution that
gradually increases once the modified Maxwell equations are solved as a
self-consistent equations system.
|
[
{
"created": "Thu, 6 Jan 2005 15:28:08 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2005 16:00:28 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Gamboa",
"J.",
""
],
[
"Lopez-Sarrion",
"J.",
""
]
] |
The connection between the Lorentz invariance violation in the lagrangean context and the quantum theory of noncommutative fields is established for the U(1) gauge field. The modified Maxwell equations coincide with other derivations obtained using different procedures. These modified equations are interpreted as describing macroscopic ones in a polarized and magnetized medium. A tiny magnetic field (seed) emerges as particular static solution that gradually increases once the modified Maxwell equations are solved as a self-consistent equations system.
|
2003.10039
|
Jie Jiang
|
Jie Jiang, Zhaohui Chen, and Chengcheng Liu
|
Switchback effect of holographic complexity in multiple-horizon black
holes
|
10 pages, 2 figures
| null |
10.1140/epjc/s10052-020-7864-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we use the "complexity equals action" (CA) conjecture to
explore the switchback effect in the strongly-coupled quantum field theories
with finite $N$ and finite coupling effects. In the perspective of holography,
this is equivalent to evaluating the CA complexity in a Vaidya geometry
equipped with a light shockwave for a higher curvature gravitational theory.
Based on the Noether charge formalism of Iyer and Wald, we obtain the slope of
the complexity of formation in the small and large time approximations. By
circuit analogy, we show that our results concur with the switchback effect of
the quantum system. These results show that the switchback effect is a general
feature of the CA complexity in stationary black holes and its existence is
independent of the explicit gravitational theory as well as spacetime
background. From the viewpoint of AdS/CFT, this also implies that the
switchback effect is a general feature of the thermofield double state in the
strongly-coupled quantum field systems with finite $N$ and finite coupling
effects. Moreover, we also illustrate that unlike the late-time complexity
growth rate, the counterterm plays an important role in the study of the
switchback effect.
|
[
{
"created": "Mon, 23 Mar 2020 01:08:24 GMT",
"version": "v1"
}
] |
2020-04-22
|
[
[
"Jiang",
"Jie",
""
],
[
"Chen",
"Zhaohui",
""
],
[
"Liu",
"Chengcheng",
""
]
] |
In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is equivalent to evaluating the CA complexity in a Vaidya geometry equipped with a light shockwave for a higher curvature gravitational theory. Based on the Noether charge formalism of Iyer and Wald, we obtain the slope of the complexity of formation in the small and large time approximations. By circuit analogy, we show that our results concur with the switchback effect of the quantum system. These results show that the switchback effect is a general feature of the CA complexity in stationary black holes and its existence is independent of the explicit gravitational theory as well as spacetime background. From the viewpoint of AdS/CFT, this also implies that the switchback effect is a general feature of the thermofield double state in the strongly-coupled quantum field systems with finite $N$ and finite coupling effects. Moreover, we also illustrate that unlike the late-time complexity growth rate, the counterterm plays an important role in the study of the switchback effect.
|
hep-th/9709226
|
Publishing Department Urss
|
Viktoria Malyshenko and Domingo Marin Ricoy (Moscow State University,
Russia)
|
Spontaneous Compactification to Robertson-Walker Universe Due To
Dynamical Torsion
|
13 pages in LaTeX including 3 Encapsulated Postscript figures
| null | null | null |
hep-th
| null |
We investigate multidimensional gravity with the Gauss-Bonnet term and with
torsion on the space of extra dimensions chosen to be the group manifold of a
simple Lie group. We take the Robertson-Walker ansatz for the 4-dimensional
space-time and study the potential of a dilaton and torsion fields. It is shown
that for certain values of the parameters of the initial theory the potential
has classically stable minima, corresponding to the spontaneous
compactification of the extra dimensions. However, these minima have zero
torsion.
|
[
{
"created": "Tue, 30 Sep 1997 13:49:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Malyshenko",
"Viktoria",
"",
"Moscow State University,\n Russia"
],
[
"Ricoy",
"Domingo Marin",
"",
"Moscow State University,\n Russia"
]
] |
We investigate multidimensional gravity with the Gauss-Bonnet term and with torsion on the space of extra dimensions chosen to be the group manifold of a simple Lie group. We take the Robertson-Walker ansatz for the 4-dimensional space-time and study the potential of a dilaton and torsion fields. It is shown that for certain values of the parameters of the initial theory the potential has classically stable minima, corresponding to the spontaneous compactification of the extra dimensions. However, these minima have zero torsion.
|
1307.4055
|
Adrian Lewandowski
|
Adrian Lewandowski
|
Renormalization of Nielsen Identities
|
29 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study renormalization of identities governing the dependence of 1PI
Green's functions on gauge-fixing parameters. For general dimensionally
regularized Yang-Mills theories with gauge groups being direct products of
arbitrary compact simple Lie groups and U(1) groups coupled to scalar fields,
we extend the well known analysis in Fermi gauges to the class of generalized
't Hoot gauges $R_{\xi,u}$, in which also symmetry under global gauge
transformations is broken by the gauge-fixing procedure. We also discuss
conditions ensuring homogeneity of the Nielsen identity satisfied by the
effective potential.
|
[
{
"created": "Mon, 15 Jul 2013 18:56:25 GMT",
"version": "v1"
}
] |
2013-07-16
|
[
[
"Lewandowski",
"Adrian",
""
]
] |
We study renormalization of identities governing the dependence of 1PI Green's functions on gauge-fixing parameters. For general dimensionally regularized Yang-Mills theories with gauge groups being direct products of arbitrary compact simple Lie groups and U(1) groups coupled to scalar fields, we extend the well known analysis in Fermi gauges to the class of generalized 't Hoot gauges $R_{\xi,u}$, in which also symmetry under global gauge transformations is broken by the gauge-fixing procedure. We also discuss conditions ensuring homogeneity of the Nielsen identity satisfied by the effective potential.
|
1507.06928
|
Mehmet Ozkan
|
Gokhan Alkac, Luca Basanisi, Eric A. Bergshoeff, Deniz Olgu
Devecioglu, Mehmet Ozkan
|
Supersymmetric Backgrounds and Black Holes in ${\cal N}=(1,1)$
Cosmological New Massive Supergravity
|
27 pages, v2: Typos Corrected, Version appeared in JHEP
|
JHEP 1510 (2015) 141
|
10.1007/JHEP10(2015)141
|
UG-15-67
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using an off-shell Killing spinor analysis we perform a systematic
investigation of the supersymmetric background and black hole solutions of the
${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a
null Killing vector are the same pp-wave solutions that one finds in the ${\cal
N}=1$ model but we find new solutions with a time-like Killing vector that are
absent in the ${\cal N}=1$ case. An example of such a solution is a Lifshitz
spacetime. We also consider the supersymmetry properties of the so-called
rotating hairy BTZ black holes and logarithmic black holes in an $AdS_3$
background. Furthermore, we show that under certain assumptions there is no
supersymmetric Lifshitz black hole solution.
|
[
{
"created": "Fri, 24 Jul 2015 17:41:04 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 11:53:30 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Alkac",
"Gokhan",
""
],
[
"Basanisi",
"Luca",
""
],
[
"Bergshoeff",
"Eric A.",
""
],
[
"Devecioglu",
"Deniz Olgu",
""
],
[
"Ozkan",
"Mehmet",
""
]
] |
Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the ${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the ${\cal N}=1$ model but we find new solutions with a time-like Killing vector that are absent in the ${\cal N}=1$ case. An example of such a solution is a Lifshitz spacetime. We also consider the supersymmetry properties of the so-called rotating hairy BTZ black holes and logarithmic black holes in an $AdS_3$ background. Furthermore, we show that under certain assumptions there is no supersymmetric Lifshitz black hole solution.
|
1505.06173
|
Oscar Fuentealba
|
Oscar Fuentealba, Javier Matulich, Ricardo Troncoso
|
Extension of the Poincar\'e group with half-integer spin generators:
hypergravity and beyond
|
12 pages, no figures. Matches published version
|
JHEP 1509 (2015) 003
|
10.1007/JHEP09(2015)003
|
CECS-PHY-15/02
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An extension of the Poincar\'e group with half-integer spin generators is
explicitly constructed. We start discussing the case of three spacetime
dimensions, and as an application, it is shown that hypergravity can be
formulated so as to incorporate this structure as its local gauge symmetry.
Since the algebra admits a nontrivial Casimir operator, the theory can be
described in terms of gauge fields associated to the extension of the
Poincar\'e group with a Chern-Simons action. The algebra is also shown to admit
an infinite-dimensional non-linear extension, that in the case of fermionic
spin-$3/2$ generators, corresponds to a subset of a contraction of two copies
of WB$_2$. Finally, we show how the Poincar\'e group can be extended with
half-integer spin generators for $d\geq3$ dimensions.
|
[
{
"created": "Fri, 22 May 2015 18:40:54 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 18:27:27 GMT",
"version": "v2"
}
] |
2015-11-05
|
[
[
"Fuentealba",
"Oscar",
""
],
[
"Matulich",
"Javier",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
An extension of the Poincar\'e group with half-integer spin generators is explicitly constructed. We start discussing the case of three spacetime dimensions, and as an application, it is shown that hypergravity can be formulated so as to incorporate this structure as its local gauge symmetry. Since the algebra admits a nontrivial Casimir operator, the theory can be described in terms of gauge fields associated to the extension of the Poincar\'e group with a Chern-Simons action. The algebra is also shown to admit an infinite-dimensional non-linear extension, that in the case of fermionic spin-$3/2$ generators, corresponds to a subset of a contraction of two copies of WB$_2$. Finally, we show how the Poincar\'e group can be extended with half-integer spin generators for $d\geq3$ dimensions.
|
hep-th/9809124
|
Nima Arkani Hamed
|
Nima Arkani-Hamed, Savas Dimopoulos and John March-Russell
|
Stabilization of Sub-Millimeter Dimensions: The New Guise of the
Hierarchy Problem
|
Corrected referencing to important earlier work by Sundrum, errors
fixed, additional discussion on radion phenomenology, conclusions unchanged,
23 pages, LaTeX
|
Phys.Rev. D63 (2001) 064020
|
10.1103/PhysRevD.63.064020
|
SLAC-PUB-7949, CERN-TH/98-297, SU-ITP-98/54
|
hep-th
| null |
A new framework for solving the hierarchy problem was recently proposed which
does not rely on low energy supersymmetry or technicolor. The fundamental
Planck mass is at a $\tev$ and the observed weakness of gravity at long
distances is due the existence of new sub-millimeter spatial dimensions. In
this picture the standard model fields are localized to a $(3+1)$-dimensional
wall or ``3-brane''. The hierarchy problem becomes isomorphic to the problem of
the largeness of the extra dimensions. This is in turn inextricably linked to
the cosmological constant problem, suggesting the possibility of a common
solution. The radii of the extra dimensions must be prevented from both
expanding to too great a size, and collapsing to the fundamental Planck length
$\tev^{-1}$. In this paper we propose a number of mechanisms addressing this
question. We argue that a positive bulk cosmological constant $\bar\Lambda$ can
stabilize the internal manifold against expansion, and that the value of
$\bar\Lambda$ is not unstable to radiative corrections provided that the
supersymmetries of string theory are broken by dynamics on our 3-brane. We
further argue that the extra dimensions can be stabilized against collapse in a
phenomenologically successful way by either of two methods: 1) Large,
topologically conserved quantum numbers associated with higher-form bulk U(1)
gauge fields, such as the naturally occurring Ramond-Ramond gauge fields, or
the winding number of bulk scalar fields. 2) The brane-lattice-crystallization
of a large number of 3-branes in the bulk. These mechanisms are consistent with
theoretical, laboratory, and cosmological considerations such as the absence of
large time variations in Newton's constant during and after primordial
nucleosynthesis, and millimeter-scale tests of gravity.
|
[
{
"created": "Wed, 16 Sep 1998 23:59:57 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1998 21:38:40 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Arkani-Hamed",
"Nima",
""
],
[
"Dimopoulos",
"Savas",
""
],
[
"March-Russell",
"John",
""
]
] |
A new framework for solving the hierarchy problem was recently proposed which does not rely on low energy supersymmetry or technicolor. The fundamental Planck mass is at a $\tev$ and the observed weakness of gravity at long distances is due the existence of new sub-millimeter spatial dimensions. In this picture the standard model fields are localized to a $(3+1)$-dimensional wall or ``3-brane''. The hierarchy problem becomes isomorphic to the problem of the largeness of the extra dimensions. This is in turn inextricably linked to the cosmological constant problem, suggesting the possibility of a common solution. The radii of the extra dimensions must be prevented from both expanding to too great a size, and collapsing to the fundamental Planck length $\tev^{-1}$. In this paper we propose a number of mechanisms addressing this question. We argue that a positive bulk cosmological constant $\bar\Lambda$ can stabilize the internal manifold against expansion, and that the value of $\bar\Lambda$ is not unstable to radiative corrections provided that the supersymmetries of string theory are broken by dynamics on our 3-brane. We further argue that the extra dimensions can be stabilized against collapse in a phenomenologically successful way by either of two methods: 1) Large, topologically conserved quantum numbers associated with higher-form bulk U(1) gauge fields, such as the naturally occurring Ramond-Ramond gauge fields, or the winding number of bulk scalar fields. 2) The brane-lattice-crystallization of a large number of 3-branes in the bulk. These mechanisms are consistent with theoretical, laboratory, and cosmological considerations such as the absence of large time variations in Newton's constant during and after primordial nucleosynthesis, and millimeter-scale tests of gravity.
|
2003.02773
|
Semanti Dutta
|
Semanti Dutta, B. Sathiapalan, and H. Sonoda
|
Wilson Action for the $O(N)$ Model
|
38 pages, 2 figures
| null |
10.1016/j.nuclphysb.2020.115022
|
IMSc/2020/02/02,KOBE-TH-20-02
|
hep-th cond-mat.other
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper the fixed-point Wilson action for the critical $O(N)$ model in
$D=4-\eps$ dimensions is written down in the $\eps$ expansion to order
$\eps^2$. It is obtained by solving the fixed-point Polchinski Exact
Renormalization Group equation (with anomalous dimension) in powers of $\eps$.
This is an example of a theory that has scale and conformal invariance despite
having a finite UV cutoff. The energy-momentum tensor for this theory is also
constructed (at zero momentum) to order $\eps^2$. This is done by solving the
Ward-Takahashi identity for the fixed point action. It is verified that the
trace of the energy-momentum tensor is proportional to the violation of scale
invariance as given by the exact RG, i.e., the $\beta$ function. The vanishing
of the trace at the fixed point ensures conformal invariance. Some examples of
calculations of correlation functions are also given.
|
[
{
"created": "Thu, 5 Mar 2020 17:14:27 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2022 07:00:11 GMT",
"version": "v2"
}
] |
2022-02-01
|
[
[
"Dutta",
"Semanti",
""
],
[
"Sathiapalan",
"B.",
""
],
[
"Sonoda",
"H.",
""
]
] |
In this paper the fixed-point Wilson action for the critical $O(N)$ model in $D=4-\eps$ dimensions is written down in the $\eps$ expansion to order $\eps^2$. It is obtained by solving the fixed-point Polchinski Exact Renormalization Group equation (with anomalous dimension) in powers of $\eps$. This is an example of a theory that has scale and conformal invariance despite having a finite UV cutoff. The energy-momentum tensor for this theory is also constructed (at zero momentum) to order $\eps^2$. This is done by solving the Ward-Takahashi identity for the fixed point action. It is verified that the trace of the energy-momentum tensor is proportional to the violation of scale invariance as given by the exact RG, i.e., the $\beta$ function. The vanishing of the trace at the fixed point ensures conformal invariance. Some examples of calculations of correlation functions are also given.
|
1510.03281
|
S. Prem Kumar
|
S. Prem Kumar and Vladislav Vaganov
|
Probing crunching AdS cosmologies
|
57 pages, 10 figures. Minor corrections, version to appear in JHEP
| null |
10.1007/JHEP02(2016)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holographic gravity duals of deformations of CFTs formulated on de Sitter
spacetime contain FRW geometries behind a horizon, with cosmological big crunch
singularities. Using a specific analytically tractable solution within a
particular single scalar truncation of N=8 supergravity on AdS_4, we first
probe such crunching cosmologies with spacelike radial geodesics that compute
spatially antipodal correlators of large dimension boundary operators. At late
times, the geodesics lie on the FRW slice of maximal expansion behind the
horizon. The late time two-point functions factorise, and when transformed to
the Einstein static universe, they exhibit a temporal non-analyticity
determined by the maximal value of the scale factor a_{max} . Radial geodesics
connecting antipodal points necessarily have de Sitter energy E \leq a_{max},
while geodesics with E > a_{max} terminate at the crunch, the two categories of
geodesics being separated by the maximal expansion slice. The spacelike crunch
singularity is curved "outward" in the Penrose diagram for the deformed AdS
backgrounds, and thus geodesic limits of the antipodal correlators do not
directly probe the crunch. Beyond the geodesic limit, we point out that the
scalar wave equation, analytically continued into the FRW patch, has a
potential which is singular at the crunch along with complex WKB turning points
in the vicinity of the FRW crunch. We then argue that the frequency space
Green's function has a branch point determined by a_{max} which corresponds to
the lowest quasinormal frequency.
|
[
{
"created": "Mon, 12 Oct 2015 13:52:23 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2015 17:46:33 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jan 2016 15:05:14 GMT",
"version": "v3"
}
] |
2016-03-23
|
[
[
"Kumar",
"S. Prem",
""
],
[
"Vaganov",
"Vladislav",
""
]
] |
Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N=8 supergravity on AdS_4, we first probe such crunching cosmologies with spacelike radial geodesics that compute spatially antipodal correlators of large dimension boundary operators. At late times, the geodesics lie on the FRW slice of maximal expansion behind the horizon. The late time two-point functions factorise, and when transformed to the Einstein static universe, they exhibit a temporal non-analyticity determined by the maximal value of the scale factor a_{max} . Radial geodesics connecting antipodal points necessarily have de Sitter energy E \leq a_{max}, while geodesics with E > a_{max} terminate at the crunch, the two categories of geodesics being separated by the maximal expansion slice. The spacelike crunch singularity is curved "outward" in the Penrose diagram for the deformed AdS backgrounds, and thus geodesic limits of the antipodal correlators do not directly probe the crunch. Beyond the geodesic limit, we point out that the scalar wave equation, analytically continued into the FRW patch, has a potential which is singular at the crunch along with complex WKB turning points in the vicinity of the FRW crunch. We then argue that the frequency space Green's function has a branch point determined by a_{max} which corresponds to the lowest quasinormal frequency.
|
1502.00510
|
William Divine Linch III
|
William D Linch III and Warren Siegel
|
F-theory from Fundamental Five-branes
|
13pp
| null | null |
UMDEPP-015-002, YITP-SB-15-3
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the worldvolume for the bosonic sector of the lower-dimensional
F-theory that embeds 4D, N=1 M-theory and the 3D Type II superstring. The
worldvolume (5-brane) theory is that of a single 6D gauge 2-form
$X_{MN}(\sigma^P)$ whose field strength is selfdual. Thus unlike string theory,
the spacetime indices are tied to the worldsheet ones: In the Hamiltonian
formalism, the spacetime coordinates are a $\mathbf{10}$ of the GL(5) of the 5
$\sigma$'s (neglecting $\tau$). The current algebra gives a rederivation of the
F-bracket. The background-independent subalgebra of the Virasoro algebra gives
the usual section condition, while a new type of section condition follows from
Gau\ss{}'s law, tying the worldvolume to spacetime: Solving just the old
condition yields M-theory, while solving only the new one gives the manifestly
T-dual version of the string, and the combination produces the usual string. We
also find a covariant form of the condition that dimensionally reduces the
string coordinates.
|
[
{
"created": "Mon, 2 Feb 2015 15:27:22 GMT",
"version": "v1"
}
] |
2015-02-03
|
[
[
"Linch",
"William D",
"III"
],
[
"Siegel",
"Warren",
""
]
] |
We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 4D, N=1 M-theory and the 3D Type II superstring. The worldvolume (5-brane) theory is that of a single 6D gauge 2-form $X_{MN}(\sigma^P)$ whose field strength is selfdual. Thus unlike string theory, the spacetime indices are tied to the worldsheet ones: In the Hamiltonian formalism, the spacetime coordinates are a $\mathbf{10}$ of the GL(5) of the 5 $\sigma$'s (neglecting $\tau$). The current algebra gives a rederivation of the F-bracket. The background-independent subalgebra of the Virasoro algebra gives the usual section condition, while a new type of section condition follows from Gau\ss{}'s law, tying the worldvolume to spacetime: Solving just the old condition yields M-theory, while solving only the new one gives the manifestly T-dual version of the string, and the combination produces the usual string. We also find a covariant form of the condition that dimensionally reduces the string coordinates.
|
1405.1396
|
Diego Hernan Correa
|
Jeremias Aguilera-Damia, Diego H. Correa and Guillermo A. Silva
|
Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter
and Bremsstrahlung functions
|
25 pages, 1 figures; v2 author ordering corrected
| null |
10.1007/JHEP06(2014)139
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as
the duals of certain 1/6 BPS circular Wilson loops in N=6 super
Chern-Simons-matter gauge theory. We use our results to verify -in the strong
coupling limit- a proposal made in arXiv:1402.4128 for a relation between the
expectation value of these Wilson loops and the Bremsstrahlung function from
deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous
relation between the expectation value of some particular 1/12 BPS Wilson loops
and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an
internal space cusp.
|
[
{
"created": "Tue, 6 May 2014 18:48:58 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 2014 18:53:09 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Aguilera-Damia",
"Jeremias",
""
],
[
"Correa",
"Diego H.",
""
],
[
"Silva",
"Guillermo A.",
""
]
] |
We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a proposal made in arXiv:1402.4128 for a relation between the expectation value of these Wilson loops and the Bremsstrahlung function from deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous relation between the expectation value of some particular 1/12 BPS Wilson loops and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an internal space cusp.
|
1607.08094
|
Fotios Dimitrakopoulos
|
Fotios V. Dimitrakopoulos, Ben Freivogel, Juan F. Pedraza and I-Sheng
Yang
|
Gauge dependence of the AdS instability problem
|
12 pages; v2: references added and minor typos were fixed, v3:
Resubmitted to match the journal version, minor typos were fixed
|
Phys. Rev. D 94, 124008 (2016)
|
10.1103/PhysRevD.94.124008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Previous work on the AdS instability problem within the two-time framework
(TTF) has found an "oscillating singularity" whose presence depends on the
gauge choice. We give a physical interpretation of this singularity as a
diverging redshift between the boundary and the center of AdS. This signals a
genuine breakdown of the linearized gravity. One can also identify the
diverging redshift through a back-reaction calculation purely in the boundary
gauge, where the TTF result stays regular.
|
[
{
"created": "Wed, 27 Jul 2016 14:02:29 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2016 13:00:55 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Dec 2016 16:28:22 GMT",
"version": "v3"
}
] |
2016-12-20
|
[
[
"Dimitrakopoulos",
"Fotios V.",
""
],
[
"Freivogel",
"Ben",
""
],
[
"Pedraza",
"Juan F.",
""
],
[
"Yang",
"I-Sheng",
""
]
] |
Previous work on the AdS instability problem within the two-time framework (TTF) has found an "oscillating singularity" whose presence depends on the gauge choice. We give a physical interpretation of this singularity as a diverging redshift between the boundary and the center of AdS. This signals a genuine breakdown of the linearized gravity. One can also identify the diverging redshift through a back-reaction calculation purely in the boundary gauge, where the TTF result stays regular.
|
2407.06376
|
Oscar Fuentealba
|
Oscar Fuentealba, Marc Henneaux, Jules Mas
|
Non-minimal couplings to $U(1)$-gauge fields and asymptotic symmetries
|
27 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We analyse the asymptotic symmetries of electromagnetism non-minimally
coupled to scalar fields, with non-minimal couplings of the Fermi type that
occur in extended supergravity models. Our study is carried out at spatial
infinity where minimal and non-minimal couplings exhibit very different
asymptotic properties: while the former generically cannot be neglected at
infinity, the latter can. Electromagnetic non-minimal couplings are in that
respect similar to gravitational minimal couplings, which are also
asymptotically subdominant. Because the non-minimally interacting model is
asymptotic to the free one, its asymptotic symmetries are the same as the ones
of the free theory, i.e., described by angle-dependent $u(1)$ gauge
transformations. We also analyse the duality symmetry and show that it is
broken to its compact subgroup by the asymptotic conditions. Finally, we
consider logarithmic gauge transformations and use them to simplify the
symmetry algebra.
|
[
{
"created": "Mon, 8 Jul 2024 20:40:49 GMT",
"version": "v1"
}
] |
2024-07-10
|
[
[
"Fuentealba",
"Oscar",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Mas",
"Jules",
""
]
] |
We analyse the asymptotic symmetries of electromagnetism non-minimally coupled to scalar fields, with non-minimal couplings of the Fermi type that occur in extended supergravity models. Our study is carried out at spatial infinity where minimal and non-minimal couplings exhibit very different asymptotic properties: while the former generically cannot be neglected at infinity, the latter can. Electromagnetic non-minimal couplings are in that respect similar to gravitational minimal couplings, which are also asymptotically subdominant. Because the non-minimally interacting model is asymptotic to the free one, its asymptotic symmetries are the same as the ones of the free theory, i.e., described by angle-dependent $u(1)$ gauge transformations. We also analyse the duality symmetry and show that it is broken to its compact subgroup by the asymptotic conditions. Finally, we consider logarithmic gauge transformations and use them to simplify the symmetry algebra.
|
hep-th/9806124
|
Michael Dine
|
Michael Dine, Yossi Nir and Yael Shadmi
|
Enhanced Symmetries and the Ground State of String Theory
|
harvmac, 18 pages
|
Phys.Lett. B438 (1998) 61-68
|
10.1016/S0370-2693(98)00975-7
|
SCIPP 98/20
|
hep-th
| null |
The ground state of string theory may lie at a point of ``maximally enhanced
symmetry", at which all of the moduli transform under continuous or discrete
symmetries. This hypothesis, along with the hypotheses that the theory at high
energies has N=1 supersymmetry and that the gauge couplings are weak and
unified, has definite consequences for low energy physics. We describe these,
and offer some suggestions as to how these assumptions might be compatible.
|
[
{
"created": "Mon, 15 Jun 1998 20:59:01 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dine",
"Michael",
""
],
[
"Nir",
"Yossi",
""
],
[
"Shadmi",
"Yael",
""
]
] |
The ground state of string theory may lie at a point of ``maximally enhanced symmetry", at which all of the moduli transform under continuous or discrete symmetries. This hypothesis, along with the hypotheses that the theory at high energies has N=1 supersymmetry and that the gauge couplings are weak and unified, has definite consequences for low energy physics. We describe these, and offer some suggestions as to how these assumptions might be compatible.
|
1809.10162
|
Justin Kaidi
|
Justin Kaidi, Christoph F. Uhlemann
|
M-theory curves from warped AdS$_6$ in Type IIB
|
24 pages
| null |
10.1007/JHEP11(2018)175
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a close relation between recently constructed AdS$_6$ solutions
in Type IIB supergravity, which describe the near-horizon limit of $(p,q)$
5-brane junctions, and the curves wrapped by M5-branes in the M-theory
realization of the 5-brane junctions. This provides a geometric interpretation
of various objects appearing in the construction of the Type IIB solutions and
a physical interpretation of the regularity conditions. Conversely, the Type
IIB solutions provide explicit solutions to the equations defining the M-theory
curves associated with $(p,q)$ 5-brane junctions.
|
[
{
"created": "Wed, 26 Sep 2018 18:02:56 GMT",
"version": "v1"
}
] |
2018-12-26
|
[
[
"Kaidi",
"Justin",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
We establish a close relation between recently constructed AdS$_6$ solutions in Type IIB supergravity, which describe the near-horizon limit of $(p,q)$ 5-brane junctions, and the curves wrapped by M5-branes in the M-theory realization of the 5-brane junctions. This provides a geometric interpretation of various objects appearing in the construction of the Type IIB solutions and a physical interpretation of the regularity conditions. Conversely, the Type IIB solutions provide explicit solutions to the equations defining the M-theory curves associated with $(p,q)$ 5-brane junctions.
|
hep-th/9404006
| null |
R. Kallosh and T. Ortin
|
Supersymmetry, Trace Anomaly and Naked Singularities
|
11 pages. Latex file
| null | null |
Newton Institute Preprint NI94002, Queen Mary and Westfield College
Preprint QMW-PH-94-7, Stanford University Preprint SU-ITP-94-8
|
hep-th gr-qc
| null |
We discuss stationary supersymmetric bosonic configurations of the
Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these
configurations, including the Kerr-Newman solutions with $m = |q|$ and
arbitrary angular momentum per unit mass $a$, exhibit naked singularities.
However, $N=2$ supergravity has trace anomaly. The nonvanishing anomalous
energy-momentum tensor of these Kerr-Newman solutions violates a consistency
condition for a configuration to admit unbroken supersymmetry. Thus, the trace
anomaly of this theory prevents the supersymmetric solutions from exhibiting
naked singularities.
|
[
{
"created": "Sat, 2 Apr 1994 00:44:35 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kallosh",
"R.",
""
],
[
"Ortin",
"T.",
""
]
] |
We discuss stationary supersymmetric bosonic configurations of the Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these configurations, including the Kerr-Newman solutions with $m = |q|$ and arbitrary angular momentum per unit mass $a$, exhibit naked singularities. However, $N=2$ supergravity has trace anomaly. The nonvanishing anomalous energy-momentum tensor of these Kerr-Newman solutions violates a consistency condition for a configuration to admit unbroken supersymmetry. Thus, the trace anomaly of this theory prevents the supersymmetric solutions from exhibiting naked singularities.
|
hep-th/9611198
|
Masaki Sugiura
|
M. Sugiura (Nagoya University)
|
Fermion Mass Generation in the D-dimensional Thirring Model as a Gauge
Theory
|
21 pages, 2 Postscript figures, LaTeX
|
Prog.Theor.Phys. 97 (1997) 311-326
|
10.1143/PTP.97.311
|
DPNU-96-59
|
hep-th
| null |
Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is
further studied in the D(2<D<4)-dimensional Thirring model as a gauge theory
previously proposed. By using a certain approximation to the kernel, we
analytically obtained explicit form of the dynamical mass of fermion and the
critical line in (N,1/g) space, where N is the number of fermions and g is the
dimensionless vector-type four-fermion coupling constant. This analytical
result is confirmed by the numerical solution for the SD equation with exact
form of the kernel in (2+1) dimensions.
|
[
{
"created": "Sun, 24 Nov 1996 09:09:02 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Sugiura",
"M.",
"",
"Nagoya University"
]
] |
Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is further studied in the D(2<D<4)-dimensional Thirring model as a gauge theory previously proposed. By using a certain approximation to the kernel, we analytically obtained explicit form of the dynamical mass of fermion and the critical line in (N,1/g) space, where N is the number of fermions and g is the dimensionless vector-type four-fermion coupling constant. This analytical result is confirmed by the numerical solution for the SD equation with exact form of the kernel in (2+1) dimensions.
|
0908.2987
|
Mario Rocca
|
C. G. Bollini and M. C. Rocca
|
A Solution to Non-Linear Equations of Motion of Nambu-Goto String
|
31 pages. No figures.Title has changed. Text has changed. arXiv admin
note: text overlap with arXiv:0811.2815
|
The Open Nuclear & Particle Physics Journal 4:4-12,2011
|
10.2174/1874415X01104010004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we solve the non-linear Lagrange's equations for the Nambu-Goto
closed bosonic string. We show that Ultradistributions of Exponential Type
(UET) are appropriate for the description in a consistent way string and string
field theories. We also prove that the string field is a linear superposition
of UET of compact support (CUET), and give the notion of anti-string. We
evaluate the propagator for the string field, and calculate the convolution of
two of them.
|
[
{
"created": "Thu, 20 Aug 2009 19:48:27 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2010 23:21:44 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Oct 2013 21:54:18 GMT",
"version": "v3"
}
] |
2015-05-14
|
[
[
"Bollini",
"C. G.",
""
],
[
"Rocca",
"M. C.",
""
]
] |
In this paper we solve the non-linear Lagrange's equations for the Nambu-Goto closed bosonic string. We show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way string and string field theories. We also prove that the string field is a linear superposition of UET of compact support (CUET), and give the notion of anti-string. We evaluate the propagator for the string field, and calculate the convolution of two of them.
|
1311.4623
|
Mokhtar Hassaine
|
Mokhtar Hassaine
|
Rotating AdS black hole stealth solution in D=3
|
5 pages in 2 columns
|
Physical Review D, Volume 89, Issue 4, id.044009 (2014)
|
10.1103/PhysRevD.89.044009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the rotating asymptotically anti de Sitter black hole solution
of new massive gravity in three dimensions can support a static stealth
configuration given by a conformally coupled scalar field. By static stealth
configuration, we mean a nontrivial time independent scalar field whose
energy-momentum tensor vanishes identically on the rotating black hole metric
solution of new massive gravity. The existence of this configuration is
rendered possible because of the presence of a gravitational hair in the black
hole metric that prevents the scalar field to be trivial. In the extremal case,
the stealth scalar field diverges at the horizon as it occurs for the conformal
scalar field of the Bocharova-Bronnikov-Melnikov-Bekenstein solution in four
dimensions.
|
[
{
"created": "Tue, 19 Nov 2013 05:33:23 GMT",
"version": "v1"
}
] |
2014-05-19
|
[
[
"Hassaine",
"Mokhtar",
""
]
] |
We show that the rotating asymptotically anti de Sitter black hole solution of new massive gravity in three dimensions can support a static stealth configuration given by a conformally coupled scalar field. By static stealth configuration, we mean a nontrivial time independent scalar field whose energy-momentum tensor vanishes identically on the rotating black hole metric solution of new massive gravity. The existence of this configuration is rendered possible because of the presence of a gravitational hair in the black hole metric that prevents the scalar field to be trivial. In the extremal case, the stealth scalar field diverges at the horizon as it occurs for the conformal scalar field of the Bocharova-Bronnikov-Melnikov-Bekenstein solution in four dimensions.
|
hep-th/0703250
|
Daniel Baumann
|
Daniel Baumann, Paul J. Steinhardt, and Neil Turok
|
Primordial Black Hole Baryogenesis
|
19 pages, 5 figures
| null | null | null |
hep-th astro-ph
| null |
We reconsider the possibility that the observed baryon asymmetry was
generated by the evaporation of primordial black holes that dominated the early
universe. We present a simple derivation showing that the baryon asymmetry is
insensitive to the initial black hole density and the cosmological model but is
sensitive to the temperature-dependence of the CP and baryon-violating (or
lepton-violating) interactions. We also consider the possibility that black
holes stop evaporating and form Planck-mass remnants that act as dark matter.
We show that primordial black holes cannot simultaneously account for both the
observed baryon asymmetry and the (remnant) dark matter density unless the
magnitude of CP violation is much greater than expected from most particle
physics models. Finally, we apply these results to ekpyrotic/cyclic models, in
which primordial black holes may form when branes collide. We find that
obtaining the observed baryon asymmetry is compatible with the other known
constraints on parameters.
|
[
{
"created": "Wed, 28 Mar 2007 01:46:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Baumann",
"Daniel",
""
],
[
"Steinhardt",
"Paul J.",
""
],
[
"Turok",
"Neil",
""
]
] |
We reconsider the possibility that the observed baryon asymmetry was generated by the evaporation of primordial black holes that dominated the early universe. We present a simple derivation showing that the baryon asymmetry is insensitive to the initial black hole density and the cosmological model but is sensitive to the temperature-dependence of the CP and baryon-violating (or lepton-violating) interactions. We also consider the possibility that black holes stop evaporating and form Planck-mass remnants that act as dark matter. We show that primordial black holes cannot simultaneously account for both the observed baryon asymmetry and the (remnant) dark matter density unless the magnitude of CP violation is much greater than expected from most particle physics models. Finally, we apply these results to ekpyrotic/cyclic models, in which primordial black holes may form when branes collide. We find that obtaining the observed baryon asymmetry is compatible with the other known constraints on parameters.
|
hep-th/9612125
|
Sergio Pernice
|
Ashok Das, Sergio. A. Pernice
|
Higher Dimensional SUSY Quantum Mechanics
|
8 pages, Latex
|
Mod.Phys.Lett. A12 (1997) 581-588
|
10.1142/S0217732397000601
|
preprint number UR-1489
|
hep-th hep-ph
| null |
Higher dimensional supersymmetric quantum mechanics is studied. General
properties of the two dimensional case are presented. For three spatial
dimesions or higher, a spin structure is shown to arise naturally from the
nonrelativistic supersymmetry algebra.
|
[
{
"created": "Wed, 11 Dec 1996 17:17:28 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Das",
"Ashok",
""
],
[
"Pernice",
"Sergio. A.",
""
]
] |
Higher dimensional supersymmetric quantum mechanics is studied. General properties of the two dimensional case are presented. For three spatial dimesions or higher, a spin structure is shown to arise naturally from the nonrelativistic supersymmetry algebra.
|
hep-th/9202011
|
Paul Fendley
|
P. Fendley and K. Intriligator
|
Scattering and Thermodynamics of Integrable N=2 Theories
|
31 pages
|
Nucl.Phys. B380 (1992) 265-292
|
10.1016/0550-3213(92)90523-E
| null |
hep-th
| null |
We study $N$=2 supersymmetric integrable theories with spontaneously-broken
\Zn\ symmetry. They have exact soliton masses given by the affine $SU(n)$ Toda
masses and fractional fermion numbers given by multiples of $1/n$. The basic
such $N$=2 integrable theory is the $A_n$-type $N$=2 minimal model perturbed by
the most relevant operator. The soliton content and exact S-matrices are
obtained using the Landau-Ginzburg description. We study the thermodynamics of
these theories and calculate the ground-state energies exactly, verifying that
they have the correct conformal limits. We conjecture that the soliton content
and S-matrices in other integrable \Zn\ $N$=2 theories are given by the tensor
product of the above basic $N$=2 \Zn\ scattering theory with various $N$=0
theories. In particular, we consider integrable perturbations of $N$=2
Kazama-Suzuki models described by generalized Chebyshev potentials, $CP^{n-1}$
sigma models, and $N$=2 sine-Gordon and its affine Toda generalizations.
|
[
{
"created": "Tue, 4 Feb 1992 21:03:38 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fendley",
"P.",
""
],
[
"Intriligator",
"K.",
""
]
] |
We study $N$=2 supersymmetric integrable theories with spontaneously-broken \Zn\ symmetry. They have exact soliton masses given by the affine $SU(n)$ Toda masses and fractional fermion numbers given by multiples of $1/n$. The basic such $N$=2 integrable theory is the $A_n$-type $N$=2 minimal model perturbed by the most relevant operator. The soliton content and exact S-matrices are obtained using the Landau-Ginzburg description. We study the thermodynamics of these theories and calculate the ground-state energies exactly, verifying that they have the correct conformal limits. We conjecture that the soliton content and S-matrices in other integrable \Zn\ $N$=2 theories are given by the tensor product of the above basic $N$=2 \Zn\ scattering theory with various $N$=0 theories. In particular, we consider integrable perturbations of $N$=2 Kazama-Suzuki models described by generalized Chebyshev potentials, $CP^{n-1}$ sigma models, and $N$=2 sine-Gordon and its affine Toda generalizations.
|
1810.10019
|
Pierre Heidmann
|
Pierre Heidmann, Swapnamay Mondal
|
The full space of BPS multicenter states with pure D-brane charges
|
34 pages, 1 figure, v2 published version
| null |
10.1007/JHEP06(2019)011
|
IPhT-T18/119
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the space of BPS states in type IIA string theory on a T$^6$
wrapped by one D6 brane and three D2 branes wrapping three disjoint 2-tori.
This system of branes has 12 ground states. We show that these 12 states are
all recovered as Coulomb branch BPS multicenter bound states, in which each
center preserves 16 supercharges. Moreover, we show that these multicenter
solutions can only exist with zero angular momentum, supporting the conjecture
that all black hole microstates have zero angular momentum. For large charges,
they might describe "near-horizon limit" of fuzzballs.
|
[
{
"created": "Tue, 23 Oct 2018 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2019 07:43:33 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Heidmann",
"Pierre",
""
],
[
"Mondal",
"Swapnamay",
""
]
] |
We investigate the space of BPS states in type IIA string theory on a T$^6$ wrapped by one D6 brane and three D2 branes wrapping three disjoint 2-tori. This system of branes has 12 ground states. We show that these 12 states are all recovered as Coulomb branch BPS multicenter bound states, in which each center preserves 16 supercharges. Moreover, we show that these multicenter solutions can only exist with zero angular momentum, supporting the conjecture that all black hole microstates have zero angular momentum. For large charges, they might describe "near-horizon limit" of fuzzballs.
|
hep-th/9709197
|
Gina Canali
|
Alan Chodos (Yale Univ.) and Hisakzau Minakata (Tokyo Metropolitan
Univ.)
|
The TBA, the Gross-Neveu Model, and Polyacetylene
|
9 pages (lamuphys) reference change
| null |
10.1007/BFb0106887
|
YCTP-P18-97, TMUP-HEL-9709
|
hep-th
| null |
We summarize recent work showing how the Thermodynamic Bethe Ansatz may be
used to study the finite-density first-order phase transition in the
Gross-Neveu model. The application to trans-polyacetylene is discussed, and the
significance of the results is addressed.
|
[
{
"created": "Fri, 26 Sep 1997 19:35:35 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 1997 14:07:35 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Nov 1997 19:13:28 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Chodos",
"Alan",
"",
"Yale Univ."
],
[
"Minakata",
"Hisakzau",
"",
"Tokyo Metropolitan\n Univ."
]
] |
We summarize recent work showing how the Thermodynamic Bethe Ansatz may be used to study the finite-density first-order phase transition in the Gross-Neveu model. The application to trans-polyacetylene is discussed, and the significance of the results is addressed.
|
1110.0145
|
Arnab Kar
|
Arnab Kar, S.G. Rajeev
|
Scalar Quantum Field Theory on Fractals
| null |
Ann. Phys., 327, 102 (2012)
|
10.1016/j.aop.2011.10.008
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a family of measures for random fields based on the iterated
subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into
a finite number of similar shapes. The intent is to construct continuum limits
of scale invariant scalar field theories, by imitating Wiener's construction of
the measure on the space of functions of one variable. These are Gaussian
measures, except for one example of a non-Gaussian fixed point for the Ising
model on a fractal. In the continuum limits what we construct have correlation
functions that vary as a power of distance. In most cases this is a positive
power (as for the Wiener measure) but we also find a few examples with negative
exponent. In all cases the exponent is an irrational number, which depends on
the particular subdivision scheme used. This suggests that the continuum limits
corresponds to quantum field theories (random fields) on spaces of fractional
dimension.
|
[
{
"created": "Sun, 2 Oct 2011 02:13:10 GMT",
"version": "v1"
}
] |
2012-07-05
|
[
[
"Kar",
"Arnab",
""
],
[
"Rajeev",
"S. G.",
""
]
] |
We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale invariant scalar field theories, by imitating Wiener's construction of the measure on the space of functions of one variable. These are Gaussian measures, except for one example of a non-Gaussian fixed point for the Ising model on a fractal. In the continuum limits what we construct have correlation functions that vary as a power of distance. In most cases this is a positive power (as for the Wiener measure) but we also find a few examples with negative exponent. In all cases the exponent is an irrational number, which depends on the particular subdivision scheme used. This suggests that the continuum limits corresponds to quantum field theories (random fields) on spaces of fractional dimension.
|
hep-th/0606109
|
Michael R. Douglas
|
Michael R. Douglas (Rutgers and IHES) and Washington Taylor (MIT and
Stanford)
|
The landscape of intersecting brane models
|
59 pages, 8 figures; v2, v3: references added, minor corrections
|
JHEP 0701:031,2007
|
10.1088/1126-6708/2007/01/031
|
MIT-CTP-3748, SU-ITP-06/15, RU-NHETC-06-04, NSF-KITP-06-75
|
hep-th
| null |
We develop tools for analyzing the space of intersecting brane models. We
apply these tools to a particular T^6/Z_2^2 orientifold which has been used for
model building. We prove that there are a finite number of intersecting brane
models on this orientifold which satisfy the Diophantine equations coming from
supersymmetry. We give estimates for numbers of models with specific gauge
groups, which we confirm numerically. We analyze the distributions and
correlations of intersection numbers which characterize the numbers of
generations of chiral fermions, and show that intersection numbers are roughly
independent, with a characteristic distribution which is peaked around 0 and in
which integers with fewer divisors are mildly suppressed. As an application,
the number of models containing a gauge group SU(3) x SU(2) x U(1) or SU(4) x
SU(2) x SU(2) and 3 generations of appropriate types of chiral matter is
estimated to be order O (10), in accord with previous explicit constructions.
As another application of the methods developed in the paper, we construct a
new pair of 3-generation SU(4) x SU(2) x SU(2) Pati-Salam models using
intersecting branes. We conclude with a description of how this analysis can be
generalized to a broader class of Calabi-Yau orientifolds, and a discussion of
how the numbers of IBM's are related to numbers of stabilized vacua.
|
[
{
"created": "Mon, 12 Jun 2006 19:47:21 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jul 2006 18:05:51 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Dec 2006 01:54:48 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Douglas",
"Michael R.",
"",
"Rutgers and IHES"
],
[
"Taylor",
"Washington",
"",
"MIT and\n Stanford"
]
] |
We develop tools for analyzing the space of intersecting brane models. We apply these tools to a particular T^6/Z_2^2 orientifold which has been used for model building. We prove that there are a finite number of intersecting brane models on this orientifold which satisfy the Diophantine equations coming from supersymmetry. We give estimates for numbers of models with specific gauge groups, which we confirm numerically. We analyze the distributions and correlations of intersection numbers which characterize the numbers of generations of chiral fermions, and show that intersection numbers are roughly independent, with a characteristic distribution which is peaked around 0 and in which integers with fewer divisors are mildly suppressed. As an application, the number of models containing a gauge group SU(3) x SU(2) x U(1) or SU(4) x SU(2) x SU(2) and 3 generations of appropriate types of chiral matter is estimated to be order O (10), in accord with previous explicit constructions. As another application of the methods developed in the paper, we construct a new pair of 3-generation SU(4) x SU(2) x SU(2) Pati-Salam models using intersecting branes. We conclude with a description of how this analysis can be generalized to a broader class of Calabi-Yau orientifolds, and a discussion of how the numbers of IBM's are related to numbers of stabilized vacua.
|
1701.02410
|
Changhyun Ahn
|
Changhyun Ahn
|
Higher Spin Currents in the Orthogonal Coset Theory
|
96 pages
| null |
10.1140/epjc/s10052-017-4956-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the coset model $(D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})$ at levels
$(k_1,k_2)$, the higher spin $4$ current that contains the quartic WZW currents
contracted with completely symmetric $SO(2N)$ invariant $d$ tensor of rank $4$
is obtained. The three-point functions with two scalars are obtained for any
finite $N$ and $k_2$ with $k_1=1$. They are determined also in the large $N$ 't
Hooft limit. When one of the levels is the dual Coxeter number of $SO(2N)$,
$k_1=2N-2$, the higher spin $\frac{7}{2}$ current, which contains the septic
adjoint fermions contracted with the above $d$ tensor and the triple product of
structure constants, is obtained from the operator product expansion (OPE)
between the spin $\frac{3}{2}$ current living in the ${\cal N}=1$
superconformal algebra and the above higher spin $4$ current. The OPEs between
the higher spin $\frac{7}{2}, 4$ currents are described. For $k_1=k_2=2N-2$
where both levels are equal to the dual Coxeter number of $SO(2N)$, the higher
spin $3$ current of $U(1)$ charge $\frac{4}{3}$, which contains the six product
of spin $\frac{1}{2}$ (two) adjoint fermions contracted with the product of $d$
tensor and two structure constants, is obtained. The corresponding ${\cal N}=2$
higher spin multiplet is determined by calculating the remaining higher spin
$\frac{7}{2}, \frac{7}{2}, 4$ currents with the help of two spin $\frac{3}{2}$
currents in the ${\cal N}=2$ superconformal algebra. The other ${\cal N}=2$
higher spin multiplet, whose $U(1)$ charge is opposite to the one of above
${\cal N}=2$ higher spin multiplet, is obtained. The OPE between these two
${\cal N}=2$ higher spin mutiplets is also discussed.
|
[
{
"created": "Tue, 10 Jan 2017 02:08:50 GMT",
"version": "v1"
}
] |
2017-06-28
|
[
[
"Ahn",
"Changhyun",
""
]
] |
In the coset model $(D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})$ at levels $(k_1,k_2)$, the higher spin $4$ current that contains the quartic WZW currents contracted with completely symmetric $SO(2N)$ invariant $d$ tensor of rank $4$ is obtained. The three-point functions with two scalars are obtained for any finite $N$ and $k_2$ with $k_1=1$. They are determined also in the large $N$ 't Hooft limit. When one of the levels is the dual Coxeter number of $SO(2N)$, $k_1=2N-2$, the higher spin $\frac{7}{2}$ current, which contains the septic adjoint fermions contracted with the above $d$ tensor and the triple product of structure constants, is obtained from the operator product expansion (OPE) between the spin $\frac{3}{2}$ current living in the ${\cal N}=1$ superconformal algebra and the above higher spin $4$ current. The OPEs between the higher spin $\frac{7}{2}, 4$ currents are described. For $k_1=k_2=2N-2$ where both levels are equal to the dual Coxeter number of $SO(2N)$, the higher spin $3$ current of $U(1)$ charge $\frac{4}{3}$, which contains the six product of spin $\frac{1}{2}$ (two) adjoint fermions contracted with the product of $d$ tensor and two structure constants, is obtained. The corresponding ${\cal N}=2$ higher spin multiplet is determined by calculating the remaining higher spin $\frac{7}{2}, \frac{7}{2}, 4$ currents with the help of two spin $\frac{3}{2}$ currents in the ${\cal N}=2$ superconformal algebra. The other ${\cal N}=2$ higher spin multiplet, whose $U(1)$ charge is opposite to the one of above ${\cal N}=2$ higher spin multiplet, is obtained. The OPE between these two ${\cal N}=2$ higher spin mutiplets is also discussed.
|
hep-th/0206117
|
Tom Banks
|
T. Banks
|
Breaking SUSY on the Horizon
|
JHEP Latex
| null | null |
RUNHETC-2002-16, SCIPP-02/41
|
hep-th
| null |
I present a heuristic calculation of the critical exponent relating the
gravitino mass to the cosmological constant in a de Sitter universe. The
ingredients for the calculation are the area law for entropy, an R symmetry of
the low energy effective Lagrangian, and a crude picture of the degenerate
levels of the cosmological horizon.
|
[
{
"created": "Thu, 13 Jun 2002 16:28:58 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Banks",
"T.",
""
]
] |
I present a heuristic calculation of the critical exponent relating the gravitino mass to the cosmological constant in a de Sitter universe. The ingredients for the calculation are the area law for entropy, an R symmetry of the low energy effective Lagrangian, and a crude picture of the degenerate levels of the cosmological horizon.
|
0912.0806
|
Philippe Brax
|
Philippe Brax and Emeline Cluzel
|
Brane Bremsstrahlung in DBI Inflation
|
20 pages, 1 figure
| null |
10.1088/1475-7516/2010/03/016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the effect of trapped branes on the evolution of a test brane
whose motion generates DBI inflation along a warped throat. The coupling
between the inflationary brane and a trapped brane leads to the radiation of
non-thermal particles on the trapped brane. We calculate the Gaussian spectrum
of the radiated particles and their backreaction on the DBI motion of the
inflationary brane. Radiation occurs for momenta lower than the speed of the
test brane when crossing the trapped brane. The slowing down effect is either
due to a parametric resonance when the interaction time is small compared to
the Hubble time or a tachyonic resonance when the interaction time is large. In
both cases the motion of the inflationary brane after the interaction is
governed by a chameleonic potential,which tends to slow it down. We find that a
single trapped brane can hardly slow down a DBI inflaton whose fluctuations
lead to the Cosmic Microwave Background spectrum. A more drastic effect is
obtained when the DBI brane encounters a tightly spaced stack of trapped
branes.
|
[
{
"created": "Fri, 4 Dec 2009 09:56:58 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Brax",
"Philippe",
""
],
[
"Cluzel",
"Emeline",
""
]
] |
We consider the effect of trapped branes on the evolution of a test brane whose motion generates DBI inflation along a warped throat. The coupling between the inflationary brane and a trapped brane leads to the radiation of non-thermal particles on the trapped brane. We calculate the Gaussian spectrum of the radiated particles and their backreaction on the DBI motion of the inflationary brane. Radiation occurs for momenta lower than the speed of the test brane when crossing the trapped brane. The slowing down effect is either due to a parametric resonance when the interaction time is small compared to the Hubble time or a tachyonic resonance when the interaction time is large. In both cases the motion of the inflationary brane after the interaction is governed by a chameleonic potential,which tends to slow it down. We find that a single trapped brane can hardly slow down a DBI inflaton whose fluctuations lead to the Cosmic Microwave Background spectrum. A more drastic effect is obtained when the DBI brane encounters a tightly spaced stack of trapped branes.
|
hep-th/9204014
|
Charles Torre
|
C. G. Torre
|
Is General Relativity an 'Already Parametrized' Field Theory?
|
9 pages
|
Phys.Rev.D46:3231-3234,1992
|
10.1103/PhysRevD.46.R3231
| null |
hep-th
| null |
Beginning with the work of Dirac and Arnowitt, Deser, Misner in the late
fifties and early sixties, and then after subsequent development by Kucha\v r,
the canonical dynamical structure of general relativity has often been viewed
as that of a parametrized field theory in which the many-fingered spacetime
variables are hidden amongst the geometrodynamical field variables. This
paradigm of general relativity as an ``already parametrized theory'' forms the
basis for one of the most satisfactory resolutions of the problems of time and
observables in classical and quantum gravity. However, despite decades of
effort, no identification of many-fingered spacetime variables has ever been
satisfactorily obtained for vacuum general relativity. We point out that there
is an obstruction to identifying the constraint surface of general relativity
(for the case of a closed universe) with that of any parametrized theory.
Therefore, strictly speaking, general relativity cannot be viewed as a
parametrized field theory. We discuss implications for the canonical
quantization program.
|
[
{
"created": "Mon, 6 Apr 1992 20:44:00 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Torre",
"C. G.",
""
]
] |
Beginning with the work of Dirac and Arnowitt, Deser, Misner in the late fifties and early sixties, and then after subsequent development by Kucha\v r, the canonical dynamical structure of general relativity has often been viewed as that of a parametrized field theory in which the many-fingered spacetime variables are hidden amongst the geometrodynamical field variables. This paradigm of general relativity as an ``already parametrized theory'' forms the basis for one of the most satisfactory resolutions of the problems of time and observables in classical and quantum gravity. However, despite decades of effort, no identification of many-fingered spacetime variables has ever been satisfactorily obtained for vacuum general relativity. We point out that there is an obstruction to identifying the constraint surface of general relativity (for the case of a closed universe) with that of any parametrized theory. Therefore, strictly speaking, general relativity cannot be viewed as a parametrized field theory. We discuss implications for the canonical quantization program.
|
1903.02692
|
James Fullwood
|
James Fullwood and Dongxu Wang
|
Orientifold limits of singular $F$-theory vacua
|
No figures
| null |
10.1016/j.nuclphysb.2020.115178
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct global orientifold limits of singular $F$-theory vacua whose
associated gauge groups are SO(3), SO(5), SO(6), $F_4$, SU(4), and Spin(7). For
each limit we show a universal tadpole relation is satisfied, which is a
homological identity whose dimension-zero component encodes the matching of the
D3 charge between each $F$-theory compactification and its orientifold limit.
While for smooth $F$-theory compactifications which admit global orientifold
limits the contribution to the associated universal tadpole relation comes from
its Chern class, we show that for all singular $F$-theory compactifications
under consideration, the contribution to the universal tadpole relation comes
from its \emph{stringy} Chern class.
|
[
{
"created": "Thu, 7 Mar 2019 02:13:14 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 04:07:51 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Fullwood",
"James",
""
],
[
"Wang",
"Dongxu",
""
]
] |
We construct global orientifold limits of singular $F$-theory vacua whose associated gauge groups are SO(3), SO(5), SO(6), $F_4$, SU(4), and Spin(7). For each limit we show a universal tadpole relation is satisfied, which is a homological identity whose dimension-zero component encodes the matching of the D3 charge between each $F$-theory compactification and its orientifold limit. While for smooth $F$-theory compactifications which admit global orientifold limits the contribution to the associated universal tadpole relation comes from its Chern class, we show that for all singular $F$-theory compactifications under consideration, the contribution to the universal tadpole relation comes from its \emph{stringy} Chern class.
|
1804.00030
|
Pavel Krtous
|
Valeri P. Frolov, Pavel Krtou\v{s}, David Kubiz\v{n}\'ak, Jorge E.
Santos
|
Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability
and Quasinormal Modes
|
5 pages, 1 figure [v3: title changed, minor modifications, references
updated]
|
Phys. Rev. Lett. 120, 231103 (2018)
|
10.1103/PhysRevLett.120.231103
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate the separability of the massive vector (Proca) field equation
in general Kerr-NUT-(A)dS black hole spacetimes in any number of dimensions,
filling a long-standing gap in the literature. The obtained separated equations
are studied in more detail for the four-dimensional Kerr geometry and the
corresponding quasinormal modes are calculated. Two of the three independent
polarizations of the Proca field are shown to emerge from the separation ansatz
and the results are found in a perfect agreement with those of the recent
numerical study where the full coupled partial differential equations were
tackled without using the separability property.
|
[
{
"created": "Fri, 30 Mar 2018 18:51:07 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 14:18:19 GMT",
"version": "v2"
},
{
"created": "Thu, 31 May 2018 15:36:50 GMT",
"version": "v3"
}
] |
2018-06-13
|
[
[
"Frolov",
"Valeri P.",
""
],
[
"Krtouš",
"Pavel",
""
],
[
"Kubizňák",
"David",
""
],
[
"Santos",
"Jorge E.",
""
]
] |
We demonstrate the separability of the massive vector (Proca) field equation in general Kerr-NUT-(A)dS black hole spacetimes in any number of dimensions, filling a long-standing gap in the literature. The obtained separated equations are studied in more detail for the four-dimensional Kerr geometry and the corresponding quasinormal modes are calculated. Two of the three independent polarizations of the Proca field are shown to emerge from the separation ansatz and the results are found in a perfect agreement with those of the recent numerical study where the full coupled partial differential equations were tackled without using the separability property.
|
hep-th/9607057
|
Rajesh Gopakumar
|
Rajesh Gopakumar (Princeton University), Sunil Mukhi (Tata Institute,
Mumbai)
|
Orbifold and Orientifold Compactifications of F-Theory and M-Theory to
Six and Four Dimensions
|
Harvmac, 30 pages (big). Additional argument relating orientifolding
ambiguity to discrete torsion inserted near the end of Sec. 6, a few
clarifying remarks and one reference added
|
Nucl.Phys. B479 (1996) 260-284
|
10.1016/0550-3213(96)00460-9
|
PUPT-1636, TIFR/TH/96-37
|
hep-th
| null |
We study orbifold compactifications of F-theory which lead to $N=1$
supersymmetry in 6 and 4 spacetime dimensions. These are dual to specific
orientifolds of M-theory, and in many cases to orientifolds of type IIB string
theory. The equivalences are demonstrated by mapping the orbifolding
transformations in the F, M and string theories to each other using dualities.
We observe that M and F-theory appear to possess a property similar to discrete
torsion in string theory. This is related to an ambiguity recently noted by
Polchinski in the orientifold projection for 6-dimensional models. The
4-dimensional compactifications exhibit similar features, from which we predict
the existence of certain new orientifolds of type IIB. Some orbifolds with
higher supersymmetry are also examined.
|
[
{
"created": "Sun, 7 Jul 1996 23:17:27 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 1996 19:07:35 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gopakumar",
"Rajesh",
"",
"Princeton University"
],
[
"Mukhi",
"Sunil",
"",
"Tata Institute,\n Mumbai"
]
] |
We study orbifold compactifications of F-theory which lead to $N=1$ supersymmetry in 6 and 4 spacetime dimensions. These are dual to specific orientifolds of M-theory, and in many cases to orientifolds of type IIB string theory. The equivalences are demonstrated by mapping the orbifolding transformations in the F, M and string theories to each other using dualities. We observe that M and F-theory appear to possess a property similar to discrete torsion in string theory. This is related to an ambiguity recently noted by Polchinski in the orientifold projection for 6-dimensional models. The 4-dimensional compactifications exhibit similar features, from which we predict the existence of certain new orientifolds of type IIB. Some orbifolds with higher supersymmetry are also examined.
|
1812.05585
|
Mukund Rangamani
|
Chi-Ming Chang, David M. Ramirez, Mukund Rangamani
|
Spinning constraints on chaotic large $c$ CFTs
|
43 pages. v2: refs updated. v3: typos fixed, published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study out-of-time ordered four-point functions in two dimensional
conformal field theories by suitably analytically continuing the Euclidean
correlator. For large central charge theories with a sparse spectrum, chaotic
dynamics is revealed in an exponential decay; this is seen directly in the
contribution of the vacuum block to the correlation function. However,
contributions from individual non-vacuum blocks with large spin and small twist
dominate over the vacuum block. We argue, based on holographic intuition, that
suitable summations over such intermediate states in the block decomposition of
the correlator should be sub-dominant, and attempt to use this criterion to
constrain the OPE data with partial success. Along the way we also discuss the
relation between the spinning Virasoro blocks and the on-shell worldline action
of spinning particles in an asymptotically AdS spacetime.
|
[
{
"created": "Thu, 13 Dec 2018 18:55:03 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2019 06:54:56 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Mar 2019 00:22:45 GMT",
"version": "v3"
}
] |
2019-03-22
|
[
[
"Chang",
"Chi-Ming",
""
],
[
"Ramirez",
"David M.",
""
],
[
"Rangamani",
"Mukund",
""
]
] |
We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is revealed in an exponential decay; this is seen directly in the contribution of the vacuum block to the correlation function. However, contributions from individual non-vacuum blocks with large spin and small twist dominate over the vacuum block. We argue, based on holographic intuition, that suitable summations over such intermediate states in the block decomposition of the correlator should be sub-dominant, and attempt to use this criterion to constrain the OPE data with partial success. Along the way we also discuss the relation between the spinning Virasoro blocks and the on-shell worldline action of spinning particles in an asymptotically AdS spacetime.
|
2005.14174
|
Koichi Harada
|
Koichi Harada
|
Quantum deformation of Feigin-Semikhatov's W-algebras and 5d AGT
correspondence with a simple surface operator
|
44pages, v2: added references
| null | null | null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quantum toroidal algebra of $gl_1$ provides many deformed W-algebras
associated with (super) Lie algebras of type A. The recent work by Gaiotto and
Rapcak suggests that a wider class of deformed W-algebras including
non-principal cases are obtained by gluing the quantum toroidal algebras of
$gl_1$. These algebras are expected to be related with 5d AGT correspondence.
In this paper, we discuss quantum deformation of the W-algebras obtained from
$\widehat{su}(N)$ by the quantum Drinfeld-Sokolov reduction with su(2)
embedding [N-1,1]. They were studied by Feigin and Semikhatov and we refer to
them as Feigin-Semikhatov's W-algebras. We construct free field realization and
find several quadratic relations. We also compare the norm of the Whittaker
states with the instanton partition function under the presence of a simple
surface operator in the N=3 case.
|
[
{
"created": "Thu, 28 May 2020 17:44:29 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jun 2020 13:49:07 GMT",
"version": "v2"
}
] |
2020-06-12
|
[
[
"Harada",
"Koichi",
""
]
] |
The quantum toroidal algebra of $gl_1$ provides many deformed W-algebras associated with (super) Lie algebras of type A. The recent work by Gaiotto and Rapcak suggests that a wider class of deformed W-algebras including non-principal cases are obtained by gluing the quantum toroidal algebras of $gl_1$. These algebras are expected to be related with 5d AGT correspondence. In this paper, we discuss quantum deformation of the W-algebras obtained from $\widehat{su}(N)$ by the quantum Drinfeld-Sokolov reduction with su(2) embedding [N-1,1]. They were studied by Feigin and Semikhatov and we refer to them as Feigin-Semikhatov's W-algebras. We construct free field realization and find several quadratic relations. We also compare the norm of the Whittaker states with the instanton partition function under the presence of a simple surface operator in the N=3 case.
|
hep-th/9711102
|
Rafael Hernandez Redondo
|
C. Gomez (IMAFF and IFT) and R. Hernandez (IMAFF)
|
Fields, Strings and Branes
|
Latex file. 176 pages. Six figures
|
Lect.Notes Math.1776:39-191,2002
| null | null |
hep-th
| null |
Lecture notes reviewing most recent developments in string/M/brane theory
given by C. G. at the CIME Summer International Center of Mathematics at
Cetraro. July 1997.
|
[
{
"created": "Fri, 14 Nov 1997 15:34:42 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gomez",
"C.",
"",
"IMAFF and IFT"
],
[
"Hernandez",
"R.",
"",
"IMAFF"
]
] |
Lecture notes reviewing most recent developments in string/M/brane theory given by C. G. at the CIME Summer International Center of Mathematics at Cetraro. July 1997.
|
2403.13926
|
Giulio Marino
|
Giulio Marino
|
Higgs radial modes and the UV completion of non-linear sigma models
|
15 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigated non-linear sigma models with cosets G/H represented by
$SU(N)\times SU(N)/SU(N)$, $SU(N)/SO(N)$, and $SU(2N)/USp(2N)$. These models
exhibit a transition to a strongly coupled regime above a threshold energy
scale $\Lambda^*$, where the effective field theory approach breaks down. To
address this issue, we introduced the so called Higgs radial modes within the
Linear Sigma Model, crucial for restoring perturbative unitarity. Analyzing the
$N>2$ case, we first notice that all radial modes coming from the most general
irreducible representation of G are necessary for unitarizing scattering
amplitudes and ensuring the weakly coupled nature of the theory. The
phenomenology behind these extra radial modes recalls the physics of the Higgs
in the electroweak sector of the Standard Model. In the case of a model
describing electroweak symmetry breaking with a more complex pattern, despite
strict constraints from electroweak precision tests, these modes could
stabilize the Higgs potential and be a possible solution for the vacuum
instability issue.
|
[
{
"created": "Wed, 20 Mar 2024 19:00:04 GMT",
"version": "v1"
}
] |
2024-03-22
|
[
[
"Marino",
"Giulio",
""
]
] |
We investigated non-linear sigma models with cosets G/H represented by $SU(N)\times SU(N)/SU(N)$, $SU(N)/SO(N)$, and $SU(2N)/USp(2N)$. These models exhibit a transition to a strongly coupled regime above a threshold energy scale $\Lambda^*$, where the effective field theory approach breaks down. To address this issue, we introduced the so called Higgs radial modes within the Linear Sigma Model, crucial for restoring perturbative unitarity. Analyzing the $N>2$ case, we first notice that all radial modes coming from the most general irreducible representation of G are necessary for unitarizing scattering amplitudes and ensuring the weakly coupled nature of the theory. The phenomenology behind these extra radial modes recalls the physics of the Higgs in the electroweak sector of the Standard Model. In the case of a model describing electroweak symmetry breaking with a more complex pattern, despite strict constraints from electroweak precision tests, these modes could stabilize the Higgs potential and be a possible solution for the vacuum instability issue.
|
1512.09121
|
Stephen A. Fulling
|
S. W. Murray, C. M. Whisler, S. A. Fulling, Jef Wagner, H. B. Carter,
David Lujan, F. D. Mera, and T. E. Settlemyre
|
Vacuum energy density and pressure near a soft wall
|
21 pages, 12 figures; v2 has improved graphics, more references,
minor corrections, two new coauthors
|
Phys. Rev. D 93, 105010 (2016)
|
10.1103/PhysRevD.93.105010
| null |
hep-th cond-mat.other gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Perfectly conducting boundaries, and their Dirichlet counterparts for quantum
scalar fields, predict nonintegrable energy densities. A more realistic model
with a finite ultraviolet cutoff yields two inconsistent values for the force
on a curved or edged boundary (the "pressure anomaly"). A still more realistic,
but still easily calculable, model replaces the hard wall by a power-law
potential; because it involves no a posteriori modification of the formulas
calculated from the theory, this model should be anomaly-free. Here we first
set up the formalism and notation for the quantization of a scalar field in the
background of a planar soft wall, and we approximate the reduced Green function
in perturbative and WKB limits (the latter being appropriate when either the
mode frequency or the depth into the wall is sufficiently large). Then we
display numerical calculations of energy density and pressure for the region
outside the wall, which show that the pressure anomaly does not occur there.
Calculations inside the wall are postponed to later papers, which must tackle
regularization and renormalization of divergences induced by the potential in
the bulk region.
|
[
{
"created": "Wed, 30 Dec 2015 20:51:54 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2016 18:37:19 GMT",
"version": "v2"
}
] |
2016-05-18
|
[
[
"Murray",
"S. W.",
""
],
[
"Whisler",
"C. M.",
""
],
[
"Fulling",
"S. A.",
""
],
[
"Wagner",
"Jef",
""
],
[
"Carter",
"H. B.",
""
],
[
"Lujan",
"David",
""
],
[
"Mera",
"F. D.",
""
],
[
"Settlemyre",
"T. E.",
""
]
] |
Perfectly conducting boundaries, and their Dirichlet counterparts for quantum scalar fields, predict nonintegrable energy densities. A more realistic model with a finite ultraviolet cutoff yields two inconsistent values for the force on a curved or edged boundary (the "pressure anomaly"). A still more realistic, but still easily calculable, model replaces the hard wall by a power-law potential; because it involves no a posteriori modification of the formulas calculated from the theory, this model should be anomaly-free. Here we first set up the formalism and notation for the quantization of a scalar field in the background of a planar soft wall, and we approximate the reduced Green function in perturbative and WKB limits (the latter being appropriate when either the mode frequency or the depth into the wall is sufficiently large). Then we display numerical calculations of energy density and pressure for the region outside the wall, which show that the pressure anomaly does not occur there. Calculations inside the wall are postponed to later papers, which must tackle regularization and renormalization of divergences induced by the potential in the bulk region.
|
1605.06761
|
Xing-Hua Wu
|
Xing-Hua Wu, Ran Li
|
Charged scalar waves from the RN/CFT correspondence
|
14 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine new tests for (non-)extremal Reissner-Nordstr\"om/Conformal field
theory correspondences (RN/CFT) in this paper. The decay rate of the charged
scalar wave sourced by an orbiting star around the black hole is computed and
is compared with the decay rate computed in the corresponding CFT. We find that
precise matches are achieved.
|
[
{
"created": "Sun, 22 May 2016 09:10:06 GMT",
"version": "v1"
}
] |
2016-05-24
|
[
[
"Wu",
"Xing-Hua",
""
],
[
"Li",
"Ran",
""
]
] |
We examine new tests for (non-)extremal Reissner-Nordstr\"om/Conformal field theory correspondences (RN/CFT) in this paper. The decay rate of the charged scalar wave sourced by an orbiting star around the black hole is computed and is compared with the decay rate computed in the corresponding CFT. We find that precise matches are achieved.
|
hep-th/9702170
|
S. Pratik Khastgir
|
S. Pratik Khastgir
|
S-matrices of non-simply laced affine Toda theories by folding
|
26 pages, Latex2e, 4 figures
|
Nucl.Phys. B499 (1997) 650-672
|
10.1016/S0550-3213(97)00319-2
|
MRI-PHY/p970203
|
hep-th
| null |
The exact factorisable quantum S-matrices are known for simply laced as well
as non-simply laced affine Toda field theories. Non-simply laced theories are
obtained from the affine Toda theories based on simply laced algebras by
folding the corresponding Dynkin diagrams. The same process, called classical
`reduction', provides solutions of a non-simply laced theory from the classical
solutions with special symmetries of the parent simply laced theory. In the
present note we shall elevate the idea of folding and classical reduction to
the quantum level. To support our views we have made some interesting
observations for S-matrices of non-simply laced theories and give prescription
for obtaining them through the folding of simply laced ones.
|
[
{
"created": "Mon, 24 Feb 1997 18:55:32 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Khastgir",
"S. Pratik",
""
]
] |
The exact factorisable quantum S-matrices are known for simply laced as well as non-simply laced affine Toda field theories. Non-simply laced theories are obtained from the affine Toda theories based on simply laced algebras by folding the corresponding Dynkin diagrams. The same process, called classical `reduction', provides solutions of a non-simply laced theory from the classical solutions with special symmetries of the parent simply laced theory. In the present note we shall elevate the idea of folding and classical reduction to the quantum level. To support our views we have made some interesting observations for S-matrices of non-simply laced theories and give prescription for obtaining them through the folding of simply laced ones.
|
2311.01701
|
Jean Thierry-Mieg
|
Jean Thierry-Mieg and Peter D. Jarvis
|
Conformal invariance of antisymmetric tensor field theories in any even
dimension
|
8 pages, no significant difference with version 1, added one
reference and a XREF to a simultaneous arxiv preprint
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two theories describing antisymmetric tensor fields in 4 dimensions are well
known: the gauge invariant Kalb-Ramond model which generalizes the Maxwell
Lagrangian and the Avdeev-Chizhov model which describes self-dual 2-tensors.
Using a theorem of Jackiw and Pi, we study p-forms in D dimensions and prove
that the Kalb-Ramond model is conformal invariant only when the rank p of the
gauge tensor is equal to its canonical dimension (D-2)/2 and that the
Avdeev-Chizhov model and its new CP generalization inspired by the SU(2/1)
superalgebraic chiral structure of the electroweak interactions are both
conformal invariant in any even dimension.
|
[
{
"created": "Fri, 3 Nov 2023 04:16:16 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2023 18:14:11 GMT",
"version": "v2"
}
] |
2023-11-10
|
[
[
"Thierry-Mieg",
"Jean",
""
],
[
"Jarvis",
"Peter D.",
""
]
] |
Two theories describing antisymmetric tensor fields in 4 dimensions are well known: the gauge invariant Kalb-Ramond model which generalizes the Maxwell Lagrangian and the Avdeev-Chizhov model which describes self-dual 2-tensors. Using a theorem of Jackiw and Pi, we study p-forms in D dimensions and prove that the Kalb-Ramond model is conformal invariant only when the rank p of the gauge tensor is equal to its canonical dimension (D-2)/2 and that the Avdeev-Chizhov model and its new CP generalization inspired by the SU(2/1) superalgebraic chiral structure of the electroweak interactions are both conformal invariant in any even dimension.
|
hep-th/0401154
|
Boris A. Arbuzov
|
Boris A. Arbuzov
|
An effective interaction spontaneously arising in a renormalizable model
of quantum field theory
|
21 pages, 2 figures
| null | null | null |
hep-th hep-ph
| null |
Theory of massless scalar field $\phi$ with interaction $g \phi^3$ in
six-dimensional space is considered. A possibility of initial scale invariance
breaking, which results in a spontaneous arising of effective interaction $G
\phi^4$, is studied by application of Bogolubov quasi-averages approach. It is
shown, that compensation equation for form-factor of this interaction in
approximation up to the third order in $G$ has a non-trivial solution. The
conditions imposed on form-factor value at zero and scalar field mass $m$ fix
the unique solution, which gives relations between parameters of interaction $g
\phi^3$ and parameters $G $ and $m$. Arguments are laid down in favour of a
stability of the non-trivial solution.
|
[
{
"created": "Thu, 22 Jan 2004 14:03:29 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2004 12:11:38 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Arbuzov",
"Boris A.",
""
]
] |
Theory of massless scalar field $\phi$ with interaction $g \phi^3$ in six-dimensional space is considered. A possibility of initial scale invariance breaking, which results in a spontaneous arising of effective interaction $G \phi^4$, is studied by application of Bogolubov quasi-averages approach. It is shown, that compensation equation for form-factor of this interaction in approximation up to the third order in $G$ has a non-trivial solution. The conditions imposed on form-factor value at zero and scalar field mass $m$ fix the unique solution, which gives relations between parameters of interaction $g \phi^3$ and parameters $G $ and $m$. Arguments are laid down in favour of a stability of the non-trivial solution.
|
hep-th/0511274
|
Francesco Toppan
|
Z. Kuznetsova, M. Rojas and F. Toppan
|
Classification of irreps and invariants of the N-extended Supersymmetric
Quantum Mechanics
|
Final version to appear in JHEP. 52 pages. The part with the complete
classification of irreps (and the explicit presentation of length-4 irreps of
N=9,10,11,12 and N=10 length-5 irreps) is unchanged. An extra section has
been added with an entire class of off-shell invariant actions for arbitrary
values N of the 1D extended supersymmetry. A non-trivial N=8 off-shell action
for the (1,8,7) multiplet has been constructed as an example. It is obtained
in terms of the octonionic structure constants
|
JHEP0603:098,2006
|
10.1088/1126-6708/2006/03/098
|
CBPF-NF-010/05
|
hep-th math-ph math.MP quant-ph
| null |
We present an algorithmic classification of the irreps of the $N$-extended
one-dimensional supersymmetry algebra linearly realized on a finite number of
fields. Our work is based on the 1-to-1 \cite{pt} correspondence between
Weyl-type Clifford algebras (whose irreps are fully classified) and classes of
irreps of the $N$-extended 1D supersymmetry. The complete classification of
irreps is presented up to $N\leq 10$. The fields of an irrep are accommodated
in $l$ different spin states. N=10 is the minimal value admitting length $l>4$
irreps. The classification of length-4 irreps of the N=12 and {\em real} N=11
extended supersymmetries is also explicitly presented.\par Tensoring irreps
allows us to systematically construct manifestly ($N$-extended) supersymmetric
multi-linear invariants {\em without} introducing a superspace formalism.
Multi-linear invariants can be constructed both for {\em unconstrained} and
{\em multi-linearly constrained} fields. A whole class of off-shell invariant
actions are produced in association with each irreducible representation. The
explicit example of the N=8 off-shell action of the $(1,8,7)$ multiplet is
presented.\par Tensoring zero-energy irreps leads us to the notion of the {\em
fusion algebra} of the 1D $N$-extended supersymmetric vacua.
|
[
{
"created": "Sun, 27 Nov 2005 22:39:50 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Dec 2005 12:43:41 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2006 18:32:24 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Kuznetsova",
"Z.",
""
],
[
"Rojas",
"M.",
""
],
[
"Toppan",
"F.",
""
]
] |
We present an algorithmic classification of the irreps of the $N$-extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields. Our work is based on the 1-to-1 \cite{pt} correspondence between Weyl-type Clifford algebras (whose irreps are fully classified) and classes of irreps of the $N$-extended 1D supersymmetry. The complete classification of irreps is presented up to $N\leq 10$. The fields of an irrep are accommodated in $l$ different spin states. N=10 is the minimal value admitting length $l>4$ irreps. The classification of length-4 irreps of the N=12 and {\em real} N=11 extended supersymmetries is also explicitly presented.\par Tensoring irreps allows us to systematically construct manifestly ($N$-extended) supersymmetric multi-linear invariants {\em without} introducing a superspace formalism. Multi-linear invariants can be constructed both for {\em unconstrained} and {\em multi-linearly constrained} fields. A whole class of off-shell invariant actions are produced in association with each irreducible representation. The explicit example of the N=8 off-shell action of the $(1,8,7)$ multiplet is presented.\par Tensoring zero-energy irreps leads us to the notion of the {\em fusion algebra} of the 1D $N$-extended supersymmetric vacua.
|
hep-th/9306132
| null |
Martin Lavelle and David McMullan
|
A New Symmetry for QED
|
9 pages, MZ-TH/93-02, DIAS-STP-93-03
|
Phys.Rev.Lett. 71 (1993) 3758-3761
|
10.1103/PhysRevLett.71.3758
| null |
hep-th
| null |
We demonstrate that QED exhibits a previously unobserved symmetry. Some
consequences are discussed.
|
[
{
"created": "Fri, 25 Jun 1993 12:09:21 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Lavelle",
"Martin",
""
],
[
"McMullan",
"David",
""
]
] |
We demonstrate that QED exhibits a previously unobserved symmetry. Some consequences are discussed.
|
2212.14753
|
Jong-Hyun Baek
|
Jong-Hyun Baek, Kang-Sin Choi
|
Islands in Proliferating de Sitter Spaces
|
26+1 pages, 6 figures, v2: clarified discussion, v3: published
version
| null |
10.1007/JHEP05(2023)098
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study two-dimensional de Sitter universe which evolves and proliferates
according to the Ginsparg-Perry-Bousso-Hawking mechanism, using
Jackiw-Teitelboim gravity coupled to conformal matter. Black holes are
generated by quantum gravity effects from pure de Sitter space and then
evaporate to yield multiple disjoint de Sitter spaces. The back-reaction from
the matter CFT is taken into account for the dilaton as a function of the
temperature of the CFT. We discuss the evaporation of black holes and calculate
the finite temperature entropy of an inflating region using the island formula.
We find that the island moves towards the apparent horizon of the black hole as
the temperature increases. The results are applied to the case of multiple
evaporating black holes, for which we suggest multiple islands.
|
[
{
"created": "Fri, 30 Dec 2022 14:58:00 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2023 12:15:53 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Apr 2023 06:15:38 GMT",
"version": "v3"
}
] |
2023-05-31
|
[
[
"Baek",
"Jong-Hyun",
""
],
[
"Choi",
"Kang-Sin",
""
]
] |
We study two-dimensional de Sitter universe which evolves and proliferates according to the Ginsparg-Perry-Bousso-Hawking mechanism, using Jackiw-Teitelboim gravity coupled to conformal matter. Black holes are generated by quantum gravity effects from pure de Sitter space and then evaporate to yield multiple disjoint de Sitter spaces. The back-reaction from the matter CFT is taken into account for the dilaton as a function of the temperature of the CFT. We discuss the evaporation of black holes and calculate the finite temperature entropy of an inflating region using the island formula. We find that the island moves towards the apparent horizon of the black hole as the temperature increases. The results are applied to the case of multiple evaporating black holes, for which we suggest multiple islands.
|
2101.11620
|
Guanhao Sun
|
Ioanna Kourkoulou, Alberto Nicolis, Guanhao Sun
|
A technical analog of the cosmological constant problem and a solution
thereof
|
28 pages
| null |
10.1007/JHEP04(2021)247
| null |
hep-th cond-mat.other gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The near vanishing of the cosmological constant is one of the most puzzling
open problems in theoretical physics. We consider a system, the so-called
framid, that features a technically similar problem. Its stress-energy tensor
has a Lorentz-invariant expectation value on the ground state, yet there are no
standard, symmetry-based selection rules enforcing this, since the ground state
spontaneously breaks boosts. We verify the Lorentz invariance of the
expectation value in question with explicit one-loop computations. These,
however, yield the expected result only thanks to highly nontrivial
cancellations, which are quite mysterious from the low-energy effective theory
viewpoint.
|
[
{
"created": "Wed, 27 Jan 2021 19:00:00 GMT",
"version": "v1"
}
] |
2021-05-12
|
[
[
"Kourkoulou",
"Ioanna",
""
],
[
"Nicolis",
"Alberto",
""
],
[
"Sun",
"Guanhao",
""
]
] |
The near vanishing of the cosmological constant is one of the most puzzling open problems in theoretical physics. We consider a system, the so-called framid, that features a technically similar problem. Its stress-energy tensor has a Lorentz-invariant expectation value on the ground state, yet there are no standard, symmetry-based selection rules enforcing this, since the ground state spontaneously breaks boosts. We verify the Lorentz invariance of the expectation value in question with explicit one-loop computations. These, however, yield the expected result only thanks to highly nontrivial cancellations, which are quite mysterious from the low-energy effective theory viewpoint.
|
1605.00651
|
David Ciupke
|
David Ciupke
|
Scalar Potential from Higher Derivative $\mathcal{N} = 1$ Superspace
|
55 pages, v2: Minor corrections and references added
| null | null |
DESY-16-021
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The supersymmetric completion of higher-derivative operators often requires
introducing corrections to the scalar potential. In this paper we study these
corrections systematically in the context of theories with $\mathcal{N}=1$
global and local supersymmetry in $D=4$ focusing on ungauged chiral multiplets.
In globally supersymmetric theories the most general off-shell effective scalar
potential can be captured by a dependence of the K\"{a}hler potential on
additional chiral superfields. For supergravity we find a much richer structure
of possible corrections. In this context we classify the leading order and
next-to-leading order superspace derivative operators and determine the
component forms of a subclass thereof. Moreover, we present an algorithm that
simplifies the computation of the respective on-shell action. As particular
applications we study the structure of the supersymmetric vacua for these
theories and comment on the form of the corrections to shift-symmetric no-scale
models. These results are relevant for the computation of effective actions for
string compactifications and, in turn, for moduli stabilization and string
inflation.
|
[
{
"created": "Mon, 2 May 2016 20:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Apr 2018 15:50:00 GMT",
"version": "v2"
}
] |
2018-04-20
|
[
[
"Ciupke",
"David",
""
]
] |
The supersymmetric completion of higher-derivative operators often requires introducing corrections to the scalar potential. In this paper we study these corrections systematically in the context of theories with $\mathcal{N}=1$ global and local supersymmetry in $D=4$ focusing on ungauged chiral multiplets. In globally supersymmetric theories the most general off-shell effective scalar potential can be captured by a dependence of the K\"{a}hler potential on additional chiral superfields. For supergravity we find a much richer structure of possible corrections. In this context we classify the leading order and next-to-leading order superspace derivative operators and determine the component forms of a subclass thereof. Moreover, we present an algorithm that simplifies the computation of the respective on-shell action. As particular applications we study the structure of the supersymmetric vacua for these theories and comment on the form of the corrections to shift-symmetric no-scale models. These results are relevant for the computation of effective actions for string compactifications and, in turn, for moduli stabilization and string inflation.
|
1109.5687
|
Steven Gubser
|
Steven S. Gubser
|
Superluminal neutrinos and extra dimensions: constraints from the null
energy condition
|
8 pages, 1 figure. v2: References added, small additions
| null |
10.1016/j.physletb.2011.10.028
|
PUPT-2394
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In light of the recent results from the OPERA collaboration, indicating that
neutrinos can travel superluminally, I review a simple extra-dimensional
strategy for accommodating such behavior; and I also explain why it is hard in
this strategy to avoid violating the null energy condition somewhere in the
extra dimensions.
|
[
{
"created": "Mon, 26 Sep 2011 19:58:21 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Sep 2011 01:36:44 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Gubser",
"Steven S.",
""
]
] |
In light of the recent results from the OPERA collaboration, indicating that neutrinos can travel superluminally, I review a simple extra-dimensional strategy for accommodating such behavior; and I also explain why it is hard in this strategy to avoid violating the null energy condition somewhere in the extra dimensions.
|
2210.09454
|
Oktay Cebecioglu PhD
|
Oktay Cebecio\u{g}lu, Ahmet Saban, Salih Kibaro\u{g}lu
|
Maxwell extension of $f(R)$ gravity
|
9 pages
|
Eur. Phys. J. C 83, 95 (2023)
|
10.1140/epjc/s10052-023-11185-8
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the Maxwell symmetry generalization of general relativity
(Maxwell gravity), we have constructed the Maxwell extension of $f(R)$ gravity.
We found that the semi-simple extension of the Poincare symmetry allows us to
introduce geometrically a cosmological constant term in four-dimensional $f(R)$
gravity. This symmetry also allows the introduction of a non-vanishing torsion
to the Maxwell $f(R)$ theory. It is found that the antisymmetric gauge field
$B^{ab}$ associated with Maxwell extension is considered as a source of the
torsion. It is also found that the gravitational equation of motion acquires a
new term in the form of an energy-momentum tensor for the background field. The
importance of these new equations is briefly discussed.
|
[
{
"created": "Mon, 17 Oct 2022 22:04:34 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2023 14:28:46 GMT",
"version": "v2"
}
] |
2023-02-01
|
[
[
"Cebecioğlu",
"Oktay",
""
],
[
"Saban",
"Ahmet",
""
],
[
"Kibaroğlu",
"Salih",
""
]
] |
Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of $f(R)$ gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dimensional $f(R)$ gravity. This symmetry also allows the introduction of a non-vanishing torsion to the Maxwell $f(R)$ theory. It is found that the antisymmetric gauge field $B^{ab}$ associated with Maxwell extension is considered as a source of the torsion. It is also found that the gravitational equation of motion acquires a new term in the form of an energy-momentum tensor for the background field. The importance of these new equations is briefly discussed.
|
hep-th/0109086
|
Megan Govender
|
M Govender and N Dadhich
|
Collapsing sphere on the brane radiates
|
Minor changes, main results remain unchanged, to appear in Phys.
Lett. B
|
Phys.Lett. B538 (2002) 233-238
|
10.1016/S0370-2693(02)01996-2
| null |
hep-th gr-qc
| null |
We study the analogue of the Oppenheimer-Snyder model of a collapsing sphere
of homogeneous dust on the Randall-Sundrum type brane. We show that the
collapsing sphere has the Vaidya radiation envelope which is followed by the
brane analogue of the Schwarzschild solution described by the
Reissner-Nordstrom metric. The collapsing solution is matched to the brane
generalized Vaidya solution and which in turn is matched to the
Reissner-Nordstrom metric. The mediation by the Vaidya radiation zone is the
new feature introduced by the brane. Since the radiating mediation is
essential, we are led to the remarkable conclusion that a collapsing sphere on
the brane does indeed, in contrast to general relativity, radiate null
radiation.
|
[
{
"created": "Tue, 11 Sep 2001 07:48:01 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Sep 2001 13:00:41 GMT",
"version": "v2"
},
{
"created": "Tue, 28 May 2002 13:18:34 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Govender",
"M",
""
],
[
"Dadhich",
"N",
""
]
] |
We study the analogue of the Oppenheimer-Snyder model of a collapsing sphere of homogeneous dust on the Randall-Sundrum type brane. We show that the collapsing sphere has the Vaidya radiation envelope which is followed by the brane analogue of the Schwarzschild solution described by the Reissner-Nordstrom metric. The collapsing solution is matched to the brane generalized Vaidya solution and which in turn is matched to the Reissner-Nordstrom metric. The mediation by the Vaidya radiation zone is the new feature introduced by the brane. Since the radiating mediation is essential, we are led to the remarkable conclusion that a collapsing sphere on the brane does indeed, in contrast to general relativity, radiate null radiation.
|
1505.07458
|
Kuver Sinha
|
Kuver Sinha
|
Early Universe Cosmology, Effective Supergravity, and Invariants of
Algebraic Forms
|
31 pages. Minor corrections; version accepted in PRD
|
Phys. Rev. D 92, 065023 (2015)
|
10.1103/PhysRevD.92.065023
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The presence of light scalars can have profound effects on early universe
cosmology, influencing its thermal history as well as paradigms like inflation
and baryogenesis. Effective supergravity provides a framework to make
quantifiable, model-independent studies of these effects. The Riemanian
curvature of the Kahler manifold spanned by scalars belonging to chiral
superfields, evaluated along supersymmetry breaking directions, provides an
order parameter (in the sense that it must necessarily take certain values) for
phenomena as diverse as slow roll modular inflation, non-thermal cosmological
histories, and the viability of Affleck-Dine baryogenesis. Within certain
classes of UV completions, the order parameter for theories with $n$ scalar
moduli is conjectured to be related to invariants of $n$-ary cubic forms (for
example, for models with three moduli, the order parameter is given by the ring
of invariants spanned by the Aronhold invariants). Within these completions,
and under the caveats spelled out, this may provide an avenue to obtain
necessary conditions for the above phenomena that are in principle calculable
given nothing but the intersection numbers of a Calabi-Yau compactification
geometry. As an additional result, abstract relations between holomorphic
sectional and bisectional curvatures are utilized to constrain Affleck-Dine
baryogenesis on a wide class of Kahler geometries.
|
[
{
"created": "Wed, 27 May 2015 20:00:40 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2015 19:46:53 GMT",
"version": "v2"
}
] |
2015-09-30
|
[
[
"Sinha",
"Kuver",
""
]
] |
The presence of light scalars can have profound effects on early universe cosmology, influencing its thermal history as well as paradigms like inflation and baryogenesis. Effective supergravity provides a framework to make quantifiable, model-independent studies of these effects. The Riemanian curvature of the Kahler manifold spanned by scalars belonging to chiral superfields, evaluated along supersymmetry breaking directions, provides an order parameter (in the sense that it must necessarily take certain values) for phenomena as diverse as slow roll modular inflation, non-thermal cosmological histories, and the viability of Affleck-Dine baryogenesis. Within certain classes of UV completions, the order parameter for theories with $n$ scalar moduli is conjectured to be related to invariants of $n$-ary cubic forms (for example, for models with three moduli, the order parameter is given by the ring of invariants spanned by the Aronhold invariants). Within these completions, and under the caveats spelled out, this may provide an avenue to obtain necessary conditions for the above phenomena that are in principle calculable given nothing but the intersection numbers of a Calabi-Yau compactification geometry. As an additional result, abstract relations between holomorphic sectional and bisectional curvatures are utilized to constrain Affleck-Dine baryogenesis on a wide class of Kahler geometries.
|
2006.08648
|
Jordan Cotler
|
Jordan Cotler, Kristan Jensen
|
AdS$_3$ gravity and random CFT
|
51+8 pages, 5 figures; v2: minor typos fixed; v3: published version,
more typos fixed
| null |
10.1007/JHEP04(2021)033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the path integral of three-dimensional gravity with negative
cosmological constant on spaces which are topologically a torus times an
interval. These are Euclidean wormholes, which smoothly interpolate between two
asymptotically Euclidean AdS$_3$ regions with torus boundary. From our results
we obtain the spectral correlations between BTZ black hole microstates near
threshold, as well as extract the spectral form factor at fixed momentum, which
has linear growth in time with small fluctuations around it. The low-energy
limit of these correlations is precisely that of a double-scaled random matrix
ensemble with Virasoro symmetry. Our findings suggest that if pure
three-dimensional gravity has a holographic dual, then the dual is an ensemble
which generalizes random matrix theory.
|
[
{
"created": "Mon, 15 Jun 2020 18:00:50 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 23:40:42 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2022 13:34:10 GMT",
"version": "v3"
}
] |
2022-07-28
|
[
[
"Cotler",
"Jordan",
""
],
[
"Jensen",
"Kristan",
""
]
] |
We compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. These are Euclidean wormholes, which smoothly interpolate between two asymptotically Euclidean AdS$_3$ regions with torus boundary. From our results we obtain the spectral correlations between BTZ black hole microstates near threshold, as well as extract the spectral form factor at fixed momentum, which has linear growth in time with small fluctuations around it. The low-energy limit of these correlations is precisely that of a double-scaled random matrix ensemble with Virasoro symmetry. Our findings suggest that if pure three-dimensional gravity has a holographic dual, then the dual is an ensemble which generalizes random matrix theory.
|
hep-th/0504008
|
Jun Sato
|
Jun Sato and Masahiro Shiroishi
|
Fifth-neighbor spin-spin correlator for the anti-ferromagnetic
Heisenberg chain
|
10 pages
|
J.Phys. A38 (2005) L405-L411
|
10.1088/0305-4470/38/21/L05
| null |
hep-th cond-mat.stat-mech math.QA nlin.SI
| null |
We study the generating function of the spin-spin correlation functions in
the ground state of the anti-ferromagnetic spin-1/2 Heisenberg chain without
magnetic field. We have found its fundamental functional relations from those
for general correlation functions, which originate in the quantum
Knizhink-Zamolodchikov equation. Using these relations, we have calculated the
explicit form of the generating functions up to n=6. Accordingly we could
obtain the spin-spin correlator <S_j^z S_{j+k}^z> up to k=5.
|
[
{
"created": "Fri, 1 Apr 2005 14:21:30 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2005 15:04:32 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Apr 2005 09:33:55 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Sato",
"Jun",
""
],
[
"Shiroishi",
"Masahiro",
""
]
] |
We study the generating function of the spin-spin correlation functions in the ground state of the anti-ferromagnetic spin-1/2 Heisenberg chain without magnetic field. We have found its fundamental functional relations from those for general correlation functions, which originate in the quantum Knizhink-Zamolodchikov equation. Using these relations, we have calculated the explicit form of the generating functions up to n=6. Accordingly we could obtain the spin-spin correlator <S_j^z S_{j+k}^z> up to k=5.
|
hep-th/9312149
|
Alex Ridgway
|
S. Alexander Ridgway
|
$S^1 \times S^2$ wormholes and topological charge
|
18 pages (includes 6 figs.), harvmac and epsf, CU-TP-620
|
Phys.Rev.D50:892-900,1994
|
10.1103/PhysRevD.50.892
| null |
hep-th gr-qc
| null |
I investigate solutions to the Euclidean Einstein-matter field equations with
topology $S^1 \times S^2 \times R$ in a theory with a massless periodic scalar
field and electromagnetism. These solutions carry winding number of the
periodic scalar as well as magnetic flux. They induce violations of a
quasi-topological conservation law which conserves the product of magnetic flux
and winding number on the background spacetime. I extend these solutions to a
model with stable loops of superconducting cosmic string, and interpret them as
contributing to the decay of such loops.
|
[
{
"created": "Thu, 16 Dec 1993 20:18:36 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Ridgway",
"S. Alexander",
""
]
] |
I investigate solutions to the Euclidean Einstein-matter field equations with topology $S^1 \times S^2 \times R$ in a theory with a massless periodic scalar field and electromagnetism. These solutions carry winding number of the periodic scalar as well as magnetic flux. They induce violations of a quasi-topological conservation law which conserves the product of magnetic flux and winding number on the background spacetime. I extend these solutions to a model with stable loops of superconducting cosmic string, and interpret them as contributing to the decay of such loops.
|
hep-th/0602215
|
Umut Gursoy
|
Umut Gursoy
|
Probing Universality in the Gravity Duals of N=1 SYM by
gamma-deformations
|
29 pages, 1 figure, refs. added, typos corrected, v3: discussion
extended and modified v4: discussion section modified, typos corrceted, v5:
referencing corrected
|
JHEP0605:014,2006
|
10.1088/1126-6708/2006/05/014
|
CPHT-RR013.0206
|
hep-th
| null |
Recently, a one-parameter deformation of the Maldacena-Nunez dual of the N=1
SYM theory was constructed in hep-th/0505100. According to the Lunin-Maldacena
conjecture, the background is dual to pure N=1 SYM in the IR coupled to a KK
sector whose dynamics is altered by a dipole deformation that is proportional
to the deformation parameter gamma. Thus, the deformation serves to identify
the aspects of the gravity backgrounds that bear the effects of the KK sector,
hence non-universal in the dual gauge theory. We make this idea concrete by
studying a Penrose limit of the deformed MN theory. We obtain an exactly
solvable pp-wave that is conjectured to describe the IR dynamics of KK-hadrons
in the field theory. The spectrum, the thermal partition function and the
Hagedorn temperature are calculated. The Hagedorn temperature turns out to be
independent of the deformation parameter.
|
[
{
"created": "Tue, 21 Feb 2006 20:55:43 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2006 16:02:43 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2006 16:43:09 GMT",
"version": "v3"
},
{
"created": "Tue, 18 Apr 2006 14:08:29 GMT",
"version": "v4"
},
{
"created": "Tue, 24 Jul 2007 14:33:18 GMT",
"version": "v5"
}
] |
2009-11-11
|
[
[
"Gursoy",
"Umut",
""
]
] |
Recently, a one-parameter deformation of the Maldacena-Nunez dual of the N=1 SYM theory was constructed in hep-th/0505100. According to the Lunin-Maldacena conjecture, the background is dual to pure N=1 SYM in the IR coupled to a KK sector whose dynamics is altered by a dipole deformation that is proportional to the deformation parameter gamma. Thus, the deformation serves to identify the aspects of the gravity backgrounds that bear the effects of the KK sector, hence non-universal in the dual gauge theory. We make this idea concrete by studying a Penrose limit of the deformed MN theory. We obtain an exactly solvable pp-wave that is conjectured to describe the IR dynamics of KK-hadrons in the field theory. The spectrum, the thermal partition function and the Hagedorn temperature are calculated. The Hagedorn temperature turns out to be independent of the deformation parameter.
|
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