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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0605039
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov, M. Sami
|
Dark energy cosmology from higher-order, string-inspired gravity and its
reconstruction
|
15 pages, 3 figures, minor changes, published version
|
Phys.Rev.D74:046004,2006
|
10.1103/PhysRevD.74.046004
| null |
hep-th astro-ph gr-qc
| null |
In this paper we investigate the cosmological effects of modified gravity
with string curvature corrections added to Einstein-Hilbert action in the
presence of a dynamically evolving scalar field coupled to Riemann invariants.
The scenario exhibits several features of cosmological interest for late
universe. It is shown that higher order stringy corrections can lead to a class
of dark energy models consistent with recent observations. The model can give
rise to quintessence, deSitter or phantom dark energy, in last case without
recourse to negative kinetic energy field. The detailed treatment of
reconstruction program for general scalar-Gauss-Bonnet gravity is presented for
any given cosmology. The explicit examples of reconstructed scalar potentials
are given for accelerated (quintessence, cosmological constant or phantom)
universe. Finally, the relation with modified $F(G)$ gravity is established on
classical level and is extended to include third order terms on curvature.
|
[
{
"created": "Wed, 3 May 2006 12:00:19 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2006 13:16:20 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jul 2006 03:32:30 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Sami",
"M.",
""
]
] |
In this paper we investigate the cosmological effects of modified gravity with string curvature corrections added to Einstein-Hilbert action in the presence of a dynamically evolving scalar field coupled to Riemann invariants. The scenario exhibits several features of cosmological interest for late universe. It is shown that higher order stringy corrections can lead to a class of dark energy models consistent with recent observations. The model can give rise to quintessence, deSitter or phantom dark energy, in last case without recourse to negative kinetic energy field. The detailed treatment of reconstruction program for general scalar-Gauss-Bonnet gravity is presented for any given cosmology. The explicit examples of reconstructed scalar potentials are given for accelerated (quintessence, cosmological constant or phantom) universe. Finally, the relation with modified $F(G)$ gravity is established on classical level and is extended to include third order terms on curvature.
|
1403.3132
|
Rodrigo Turcati
|
R. Turcati and M. J. Neves
|
Probing features of the Lee-Wick quantum electrodynamics
|
Replaced with published version
|
Adv.High Energy Phys. 2014 (2014) 153953
|
10.1155/2014/153953
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss some aspects concerning the electromagnetic sector
of the abelian Lee-Wick (LW) quantum electrodynamics (QED). Using the Dirac's
theory of constrained systems, the higher-order canonical quantization of the
LW electromagnetism is performed. A quantum bound on the LW heavy mass is also
estimated using the best known measurement of the anomalous magnetic moment of
the electron. Finally it is shown that magnetic monopoles can coexist
peacefully in the LW scenario.
|
[
{
"created": "Wed, 12 Mar 2014 23:20:26 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2015 20:22:35 GMT",
"version": "v2"
}
] |
2015-07-16
|
[
[
"Turcati",
"R.",
""
],
[
"Neves",
"M. J.",
""
]
] |
In this paper we discuss some aspects concerning the electromagnetic sector of the abelian Lee-Wick (LW) quantum electrodynamics (QED). Using the Dirac's theory of constrained systems, the higher-order canonical quantization of the LW electromagnetism is performed. A quantum bound on the LW heavy mass is also estimated using the best known measurement of the anomalous magnetic moment of the electron. Finally it is shown that magnetic monopoles can coexist peacefully in the LW scenario.
|
1603.03055
|
Jonathan Maltz
|
Evan Berkowitz, Masanori Hanada, Jonathan Maltz
|
A microscopic description of black hole evaporation via holography
|
6 Pages, 2 Figures, This Essay received an honorable mention in the
Gravity Research Foundation essay competition 2016, to appear in
International Journal of Modern Physics D. Minor adjustments added
| null |
10.1142/S0218271816440028
|
SU-ITP-16/06, YITP-16-22, LLNL-JRNL-685083
|
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a description of how a large, cold black hole (black zero-brane)
in type IIA superstring theory evaporates into freely propagating D0-branes, by
solving the dual gauge theory quantitatively. The energy spectrum of emitted
D0-branes is parametrically close to thermal when the black hole is large. The
black hole, while initially cold, gradually becomes an extremely hot and
stringy object as it evaporates. As it emits D0-branes, its emission rate
speeds up and it evaporates completely without leaving any remnant. Hence this
system provides us with a concrete holographic description of black hole
evaporation without information loss.
|
[
{
"created": "Wed, 9 Mar 2016 21:01:52 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2016 22:31:15 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Jul 2016 06:25:19 GMT",
"version": "v3"
}
] |
2016-11-23
|
[
[
"Berkowitz",
"Evan",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Maltz",
"Jonathan",
""
]
] |
We propose a description of how a large, cold black hole (black zero-brane) in type IIA superstring theory evaporates into freely propagating D0-branes, by solving the dual gauge theory quantitatively. The energy spectrum of emitted D0-branes is parametrically close to thermal when the black hole is large. The black hole, while initially cold, gradually becomes an extremely hot and stringy object as it evaporates. As it emits D0-branes, its emission rate speeds up and it evaporates completely without leaving any remnant. Hence this system provides us with a concrete holographic description of black hole evaporation without information loss.
|
1107.0710
|
Gregory Gabadadze
|
Claudia de Rham, Gregory Gabadadze and Andrew J. Tolley
|
Comments on (super)luminality
|
12 pages. v2: improved and expanded version: certain statements
corrected, appendix added; the conclusion unchanged
| null | null |
NYU-TH-07/10/11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, in an interesting work arXiv:1106.3972 a solution of the equations
of motion of massive gravity was discussed, and it was shown that one of the
fluctuations on that solution is superluminal. It was also stated that this
rules out massive gravity. Here we find that the solution itself is rather
unphysical. For this we show that there is another mode on the same background
which grows and overcomes the background in an arbitrarily short period of
time, that can be excited by a negligible cost in energy. This solution is
triggered by the parameter governing the superluminality. Furthermore, we also
show that the solution, if viewed as a perfect fluid, has no rest frame, or
that the Lorentz transformation that is needed to boost to the rest frame is
superluminal itself. The stress-tensor of this fluid has complex eigenvalues,
and could not be obtained from any physically sensible matter. Moreover, for
the same setup we find another background solution, fluctuations of which are
all stable and subluminal. Based on these results, we conclude that the
superluminality found in arXiv:1106.3972 is an artifact of using an
inappropriate background, nevertheless, this solution represents an instructive
example for understanding massive gravity. For instance, on this background the
Boulware-Deser ghost is absent, even though this may naively appear not to be
the case.
|
[
{
"created": "Mon, 4 Jul 2011 19:40:04 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jul 2011 17:13:37 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"de Rham",
"Claudia",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Tolley",
"Andrew J.",
""
]
] |
Recently, in an interesting work arXiv:1106.3972 a solution of the equations of motion of massive gravity was discussed, and it was shown that one of the fluctuations on that solution is superluminal. It was also stated that this rules out massive gravity. Here we find that the solution itself is rather unphysical. For this we show that there is another mode on the same background which grows and overcomes the background in an arbitrarily short period of time, that can be excited by a negligible cost in energy. This solution is triggered by the parameter governing the superluminality. Furthermore, we also show that the solution, if viewed as a perfect fluid, has no rest frame, or that the Lorentz transformation that is needed to boost to the rest frame is superluminal itself. The stress-tensor of this fluid has complex eigenvalues, and could not be obtained from any physically sensible matter. Moreover, for the same setup we find another background solution, fluctuations of which are all stable and subluminal. Based on these results, we conclude that the superluminality found in arXiv:1106.3972 is an artifact of using an inappropriate background, nevertheless, this solution represents an instructive example for understanding massive gravity. For instance, on this background the Boulware-Deser ghost is absent, even though this may naively appear not to be the case.
|
1407.7883
|
Linus Wulff
|
Radu Roiban, Per Sundin, Arkady Tseytlin and Linus Wulff
|
The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n)
superstring
|
23 pages; v2: typos fixed in (C.2)-(C.4)
| null |
10.1007/JHEP08(2014)160
|
Imperial-TP-LW-2014-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the massive-sector worldsheet S-matrix for superstring theories in
AdS(n) x S(n) x T(10-2n) (with n=2,3,5) in the near BMN expansion up to
one-loop order in inverse string tension. We show that, after taking into
account the wave function renormalization, the one-loop S-matrix is UV finite.
In an appropriate regularization scheme the S-matrix is consistent with the
underlying symmetries of the superstring theory, i.e. for the n=3,5 cases it
coincides with the one implied by the light-cone gauge symmetries with the
dressing phases determined from the crossing equations. For the n=2,3 cases we
observe that the massless modes decouple from the one-loop calculation of
massive mode scattering, i.e. the 2n-dimensional supercoset sigma model and the
full 10-dimensional superstring happen to have the same massive one-loop
S-matrix.
|
[
{
"created": "Tue, 29 Jul 2014 20:50:23 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jan 2019 14:51:30 GMT",
"version": "v2"
}
] |
2019-01-04
|
[
[
"Roiban",
"Radu",
""
],
[
"Sundin",
"Per",
""
],
[
"Tseytlin",
"Arkady",
""
],
[
"Wulff",
"Linus",
""
]
] |
We compute the massive-sector worldsheet S-matrix for superstring theories in AdS(n) x S(n) x T(10-2n) (with n=2,3,5) in the near BMN expansion up to one-loop order in inverse string tension. We show that, after taking into account the wave function renormalization, the one-loop S-matrix is UV finite. In an appropriate regularization scheme the S-matrix is consistent with the underlying symmetries of the superstring theory, i.e. for the n=3,5 cases it coincides with the one implied by the light-cone gauge symmetries with the dressing phases determined from the crossing equations. For the n=2,3 cases we observe that the massless modes decouple from the one-loop calculation of massive mode scattering, i.e. the 2n-dimensional supercoset sigma model and the full 10-dimensional superstring happen to have the same massive one-loop S-matrix.
|
1811.08113
|
Tao Wang
|
Yu-Chen Ding, Towe Wang
|
Action growth rates of black holes in the Chern-Simons modified gravity
|
12 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Among many modified gravity theories, the Chern-Simons modified gravity
stands out as one of the few examples whose Dirichlet boundary problem has been
well studied. Known solutions to this theory include the Schwarzschild black
hole and a slowly rotating black hole. Making use of the Dirichlet boundary
term of this theory, we calculate the late-time action growth rates of the
Wheeler-DeWitt patch for the Schwarzschild and the slowly rotating solutions.
In light of the conjecture of complexity/action duality, the result has
implications on the quantum complexity of a state in the dual field theory.
|
[
{
"created": "Tue, 20 Nov 2018 08:11:17 GMT",
"version": "v1"
}
] |
2018-11-21
|
[
[
"Ding",
"Yu-Chen",
""
],
[
"Wang",
"Towe",
""
]
] |
Among many modified gravity theories, the Chern-Simons modified gravity stands out as one of the few examples whose Dirichlet boundary problem has been well studied. Known solutions to this theory include the Schwarzschild black hole and a slowly rotating black hole. Making use of the Dirichlet boundary term of this theory, we calculate the late-time action growth rates of the Wheeler-DeWitt patch for the Schwarzschild and the slowly rotating solutions. In light of the conjecture of complexity/action duality, the result has implications on the quantum complexity of a state in the dual field theory.
|
1011.4500
|
Hassan Firouzjahi
|
Hassan Firouzjahi and Salomeh Khoeini-Moghaddam
|
Fields Annihilation and Particles Creation in DBI inflation
|
First revision: minor changes, the background spectral index is
corrected, new references are added. Second revision: minor changes, new
references are added, accepted for publication in JCAP
|
JCAP 1102:012,2011
|
10.1088/1475-7516/2011/02/012
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a model of DBI inflation where two stacks of mobile branes are
moving ultra relativistically in a warped throat. The stack closer to the tip
of the throat is annihilated with the background anti-branes while inflation
proceeds by the second stack. The effects of branes annihilation and particles
creation during DBI inflation on the curvature perturbations power spectrum and
the scalar spectral index are studied. We show that for super-horizon scales,
modes which are outside the sound horizon at the time of branes collision, the
spectral index has a shift to blue spectrum compared to the standard DBI
inflation. For small scales the power spectrum approaches to its background DBI
inflation value with the decaying superimposed oscillatory modulations.
|
[
{
"created": "Fri, 19 Nov 2010 19:10:03 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2010 19:35:37 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Feb 2011 05:27:28 GMT",
"version": "v3"
}
] |
2011-03-18
|
[
[
"Firouzjahi",
"Hassan",
""
],
[
"Khoeini-Moghaddam",
"Salomeh",
""
]
] |
We consider a model of DBI inflation where two stacks of mobile branes are moving ultra relativistically in a warped throat. The stack closer to the tip of the throat is annihilated with the background anti-branes while inflation proceeds by the second stack. The effects of branes annihilation and particles creation during DBI inflation on the curvature perturbations power spectrum and the scalar spectral index are studied. We show that for super-horizon scales, modes which are outside the sound horizon at the time of branes collision, the spectral index has a shift to blue spectrum compared to the standard DBI inflation. For small scales the power spectrum approaches to its background DBI inflation value with the decaying superimposed oscillatory modulations.
|
hep-th/0005245
|
Daniel Litim
|
Daniel F. Litim
|
Optimisation of the exact renormalisation group
|
11 pages, 4 postscript figures
|
Phys.Lett.B486:92-99,2000
|
10.1016/S0370-2693(00)00748-6
|
HD-THEP-00-28
|
hep-th hep-ph
| null |
A simple criterion to optimise coarse-grainings for exact renormalisation
group equations is given. It is aimed at improving the convergence of
approximate solutions of flow equations. The optimisation criterion is generic,
as it refers only to the coarse-grained propagator at vanishing field. In
physical terms, it is understood as an optimisation condition for amplitude
expansions. Alternatively, it can be interpreted as the requirement to move
poles of threshold functions away from the physical region. The link to
expansions in field amplitudes is discussed as well. Optimal parameters are
given explicitly for a variety of different coarse-grainings. As a by-product
it is found that the sharp cut-off regulator does not belong to the class of
such optimal coarse-grainings, which explains the poor convergence of amplitude
expansions based on it.
|
[
{
"created": "Thu, 25 May 2000 18:37:42 GMT",
"version": "v1"
}
] |
2009-07-09
|
[
[
"Litim",
"Daniel F.",
""
]
] |
A simple criterion to optimise coarse-grainings for exact renormalisation group equations is given. It is aimed at improving the convergence of approximate solutions of flow equations. The optimisation criterion is generic, as it refers only to the coarse-grained propagator at vanishing field. In physical terms, it is understood as an optimisation condition for amplitude expansions. Alternatively, it can be interpreted as the requirement to move poles of threshold functions away from the physical region. The link to expansions in field amplitudes is discussed as well. Optimal parameters are given explicitly for a variety of different coarse-grainings. As a by-product it is found that the sharp cut-off regulator does not belong to the class of such optimal coarse-grainings, which explains the poor convergence of amplitude expansions based on it.
|
1001.3271
|
Alberto Salvio
|
S. L. Parameswaran, S. Randjbar-Daemi and A. Salvio
|
Aspects of Brane Physics in 5 and 6 Dimensions
|
11 pages, 2 figures, prepared for the conference "Selected Topics in
Mathematical and Particle Physics", Prague 5-7 May 2009. The title in the
proceedings is "6D Brane Worlds and their Perturbations"
| null | null |
UAB-FT-678
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We outline a general strategy to deal with perturbations in brane world
models. We illustrate the method by studying simple 6D brane world
compactifications. We introduce the background geometries induced by the
branes, and summarize the main physical features observed in the fluctuation
spectra. We compare these results with 5D brane world models and the
traditional Kaluza-Klein picture.
|
[
{
"created": "Tue, 19 Jan 2010 11:53:39 GMT",
"version": "v1"
}
] |
2010-01-20
|
[
[
"Parameswaran",
"S. L.",
""
],
[
"Randjbar-Daemi",
"S.",
""
],
[
"Salvio",
"A.",
""
]
] |
We outline a general strategy to deal with perturbations in brane world models. We illustrate the method by studying simple 6D brane world compactifications. We introduce the background geometries induced by the branes, and summarize the main physical features observed in the fluctuation spectra. We compare these results with 5D brane world models and the traditional Kaluza-Klein picture.
|
1510.04759
|
Tadashi Okazaki
|
Tadashi Okazaki
|
AdS2/CFT1, Whittaker vector and Wheeler-De Witt equation
|
16 pages
|
Phys. Rev. D 92, 126010 (2015)
|
10.1103/PhysRevD.92.126010
|
NCTS-TH/1504
|
hep-th math.NT quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the energy representation of conformal quantum mechanics as the
Whittaker vector without specifying classical Lagrangian. We show that a
generating function of expectation values among two excited states of the
dilatation operator in conformal quantum mechanics is a solution to the
Wheeler-DeWitt equation and it corresponds to the AdS2 partition function
evaluated as the minisuperspace wave function in Liouville field theory. We
also show that the dilatation expectation values in conformal quantum mechanics
lead to the asymptotic smoothed counting function of the Riemann zeros.
|
[
{
"created": "Fri, 16 Oct 2015 02:05:26 GMT",
"version": "v1"
}
] |
2016-01-06
|
[
[
"Okazaki",
"Tadashi",
""
]
] |
We study the energy representation of conformal quantum mechanics as the Whittaker vector without specifying classical Lagrangian. We show that a generating function of expectation values among two excited states of the dilatation operator in conformal quantum mechanics is a solution to the Wheeler-DeWitt equation and it corresponds to the AdS2 partition function evaluated as the minisuperspace wave function in Liouville field theory. We also show that the dilatation expectation values in conformal quantum mechanics lead to the asymptotic smoothed counting function of the Riemann zeros.
|
1112.3502
|
Horatiu Stefan Nastase
|
Horatiu Nastase
|
Introduction to supergravity
|
152 pages, latex; reference added, reference corrected; typos
corrected, a few words changed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These lectures present an introduction to supergravity, and are intended for
graduate students with a working knowledge of quantum field theory, including
the elementary group theory needed for it, but no prior knowledge of general
relativity, supersymmetry or string theory is assumed. I will start by
introducing the needed elements of general relativity and supersymmetry. I will
then describe the simplest cases of supergravity, ${\cal N}=1$ on-shell in 4
dimensions and ${\cal N}=1$ off-shell in 3 dimensions. I will introduce
superspace formalisms in their simplest cases, and apply them to ${\cal N}=1$
in 4 dimensions, after which I will show how to couple to matter using
superspace. I will introduce the procedure of KK dimensional reduction and
describe general supergravity theories, in particular the unique 11 dimensional
supergravity. I will then exemplify the issues of KK dimensional reduction on
the only complete example of full nonlinear compactification, on the
gravitational space $AdS_7\times S^4$. Finally, I will show how we can use
supergravity compactifications together with some string theory information,
for realistic embeddings of the Standard Model, via ${\cal N}=1$ supergravity
in 4 dimensions.
|
[
{
"created": "Thu, 15 Dec 2011 13:19:44 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2012 12:14:45 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2012 15:57:26 GMT",
"version": "v3"
}
] |
2012-01-24
|
[
[
"Nastase",
"Horatiu",
""
]
] |
These lectures present an introduction to supergravity, and are intended for graduate students with a working knowledge of quantum field theory, including the elementary group theory needed for it, but no prior knowledge of general relativity, supersymmetry or string theory is assumed. I will start by introducing the needed elements of general relativity and supersymmetry. I will then describe the simplest cases of supergravity, ${\cal N}=1$ on-shell in 4 dimensions and ${\cal N}=1$ off-shell in 3 dimensions. I will introduce superspace formalisms in their simplest cases, and apply them to ${\cal N}=1$ in 4 dimensions, after which I will show how to couple to matter using superspace. I will introduce the procedure of KK dimensional reduction and describe general supergravity theories, in particular the unique 11 dimensional supergravity. I will then exemplify the issues of KK dimensional reduction on the only complete example of full nonlinear compactification, on the gravitational space $AdS_7\times S^4$. Finally, I will show how we can use supergravity compactifications together with some string theory information, for realistic embeddings of the Standard Model, via ${\cal N}=1$ supergravity in 4 dimensions.
|
1408.6613
|
Ishwaree Neupane
|
Ishwaree P. Neupane (CERN)
|
Gauss-Bonnet assisted braneworld inflation in light of BICEP2 and Planck
data
|
5 pages, 4 figures, revtex4; v2: some additions to text in response
to comments, published version
|
Phys. Rev. D 90, 123534 (2014)
|
10.1103/PhysRevD.90.123534
|
CERN-PH-TH-2014-168
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the idea that quantum gravity corrections usually suppress the
power of the scalar primordial spectrum (E-mode) more than the power of the
tensor primordial spectrum (B-mode), in this paper we construct a concrete
gravitational theory in five-dimensions for which $V(\phi)\propto \phi^n$-type
inflation ($n\ge 1$) generates an appropriate tensor-to-scalar ratio that may
be compatible with the BICEP2 and Planck data together. The true nature of
gravity is five-dimensional and described by the action $S = \int d^5{x}
\sqrt{|g|} M^3 (- 6\lambda M^2 + R + \alpha M^{-2} {\cal R}^2)$ where $M$ is
the five-dimensional Planck mass and ${\cal R}^2=R^2-4 R_{ab} R^{ab} + R_{abcd}
R^{abcd}$ is the Gauss-Bonnet (GB) term. The five-dimensional "bulk" spacetime
is anti-de Sitter ($\lambda<0$) for which inflation ends naturally. The effects
of ${\cal R}^2$ term on the magnitudes of scalar and tensor fluctuations and
spectral indices are shown to be important at the energy scale of inflation.
For GB-assisted $m^2\phi^2$-inflation, inflationary constraints from BICEP2 and
Planck, such as, $n_s\simeq 0.9603 (\pm 0.0073)$, $r=0.16 (+0.06-0.05)$ and
$V_*^{1/4} \sim 1.5\times 10^{16} {\text GeV}$ are all satisfied for $
(-\lambda \alpha) \simeq (3-300)\times 10^{-5}$.
|
[
{
"created": "Thu, 28 Aug 2014 03:08:25 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 2014 09:03:41 GMT",
"version": "v2"
}
] |
2015-01-07
|
[
[
"Neupane",
"Ishwaree P.",
"",
"CERN"
]
] |
Motivated by the idea that quantum gravity corrections usually suppress the power of the scalar primordial spectrum (E-mode) more than the power of the tensor primordial spectrum (B-mode), in this paper we construct a concrete gravitational theory in five-dimensions for which $V(\phi)\propto \phi^n$-type inflation ($n\ge 1$) generates an appropriate tensor-to-scalar ratio that may be compatible with the BICEP2 and Planck data together. The true nature of gravity is five-dimensional and described by the action $S = \int d^5{x} \sqrt{|g|} M^3 (- 6\lambda M^2 + R + \alpha M^{-2} {\cal R}^2)$ where $M$ is the five-dimensional Planck mass and ${\cal R}^2=R^2-4 R_{ab} R^{ab} + R_{abcd} R^{abcd}$ is the Gauss-Bonnet (GB) term. The five-dimensional "bulk" spacetime is anti-de Sitter ($\lambda<0$) for which inflation ends naturally. The effects of ${\cal R}^2$ term on the magnitudes of scalar and tensor fluctuations and spectral indices are shown to be important at the energy scale of inflation. For GB-assisted $m^2\phi^2$-inflation, inflationary constraints from BICEP2 and Planck, such as, $n_s\simeq 0.9603 (\pm 0.0073)$, $r=0.16 (+0.06-0.05)$ and $V_*^{1/4} \sim 1.5\times 10^{16} {\text GeV}$ are all satisfied for $ (-\lambda \alpha) \simeq (3-300)\times 10^{-5}$.
|
1205.3438
|
Marcelo Botta Cantcheff
|
M. Botta Cantcheff, Alexandre L. Gadelha, Dafni F. Z. Marchioro,
Daniel Luiz Nedel
|
String in AdS Black Hole: A Thermo Field Dynamic Approach
|
24 pages, no figures
| null |
10.1103/PhysRevD.86.086006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on Maldacena's description of an eternal AdS-black hole, we reassess
the Thermo Field Dynamics (TFD) formalism in the context of the AdS/CFT
correspondence. The model studied here involves the maximally extended
AdS-Schwarschild solution and two (non-interacting) copies of the CFT
associated to the global AdS spacetime, along with an extension of the string
by imposing natural gluing conditions in the horizon. We show that the gluing
conditions in the horizon define a string boundary state which is identified
with the TFD thermal vacuum, globally defined in the Kruskal extension of the
AdS black hole. We emphasize the connection of this picture with unitary
SU(1,1) TFD formulation and we show that information about the bulk and the
conformal boundary is present in the SU(1,1) parameters. Using the unitary
SU(1,1) TFD formulation, a canonical prescription for calculating the
worldsheet real time thermal Green's function is made and the entropy
associated with the entanglement of the two CFT's is calculated.
|
[
{
"created": "Tue, 15 May 2012 16:44:05 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Cantcheff",
"M. Botta",
""
],
[
"Gadelha",
"Alexandre L.",
""
],
[
"Marchioro",
"Dafni F. Z.",
""
],
[
"Nedel",
"Daniel Luiz",
""
]
] |
Based on Maldacena's description of an eternal AdS-black hole, we reassess the Thermo Field Dynamics (TFD) formalism in the context of the AdS/CFT correspondence. The model studied here involves the maximally extended AdS-Schwarschild solution and two (non-interacting) copies of the CFT associated to the global AdS spacetime, along with an extension of the string by imposing natural gluing conditions in the horizon. We show that the gluing conditions in the horizon define a string boundary state which is identified with the TFD thermal vacuum, globally defined in the Kruskal extension of the AdS black hole. We emphasize the connection of this picture with unitary SU(1,1) TFD formulation and we show that information about the bulk and the conformal boundary is present in the SU(1,1) parameters. Using the unitary SU(1,1) TFD formulation, a canonical prescription for calculating the worldsheet real time thermal Green's function is made and the entropy associated with the entanglement of the two CFT's is calculated.
|
hep-th/0112120
|
Seok Kim
|
Seok Kim, Choonkyu Lee
|
Supersymmetry-based Approach to Quantum Particle Dynamics
|
revtex, 24pages, no figure
|
Annals Phys. 296 (2002) 390-405
|
10.1006/aphy.2002.6224
|
SNUTP01-042
|
hep-th
| null |
We present the N=2 supersymmetric formulation for the classical and quantum
dynamics of a nonrelativistic charged particle on a curved surface in the
presence of a perpendicular magnetic field. For a particle moving on a
constant-curvature surface in a constant magnetic field, our Hamiltonian
possesses the shape-invariance property in addition. On the surface of a sphere
and also on the hyperbolic plane, we exploit the supersymmetry and
shape-invariance properties to obtain complete solutions to the corresponding
quantum mechanical problems.
|
[
{
"created": "Fri, 14 Dec 2001 02:31:01 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Kim",
"Seok",
""
],
[
"Lee",
"Choonkyu",
""
]
] |
We present the N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field. For a particle moving on a constant-curvature surface in a constant magnetic field, our Hamiltonian possesses the shape-invariance property in addition. On the surface of a sphere and also on the hyperbolic plane, we exploit the supersymmetry and shape-invariance properties to obtain complete solutions to the corresponding quantum mechanical problems.
|
2302.12117
|
Manki Kim
|
Manki Kim
|
On string one-loop correction to the Einstein-Hilbert term and its
implications on the Kahler potential
|
v2: minor errors fixed. v3: additional check provided by comparing to
the known R^4 term. v5: normalization of PCO fixed. v6: matches JHEP version.
Discussions expanded. v7: minor errors fixed
| null |
10.1007/JHEP07(2023)044
|
MIT-CTP/5531
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To compute the string one-loop correction to the Kahler potential of moduli
fields of string compactifications in Einstein-frame, one must compute: the
string one-loop correction to the Einstein-Hilbert action, the string one-loop
correction to the moduli kinetic terms, the string one-loop correction to the
definition of the holomorphic coordinates. In this note, we compute the string
one-loop correction to the Einstein-Hilbert action of type II string theory
compactified on orientifolds of Calabi-Yau threefolds. We find that the
one-loop correction is determined by the new supersymmetric index studied by
Cecotti, Fendley, Intriligator, and Vafa. As a simple application, we apply our
results to estimate the size of the one-loop corrections around a conifold
point in the Kahler moduli space.
|
[
{
"created": "Thu, 23 Feb 2023 15:58:08 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2023 15:09:33 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Apr 2023 00:53:15 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Apr 2023 23:06:41 GMT",
"version": "v4"
},
{
"created": "Sun, 16 Apr 2023 00:42:35 GMT",
"version": "v5"
},
{
"created": "Tue, 4 Jul 2023 17:58:53 GMT",
"version": "v6"
},
{
"created": "Sun, 5 Nov 2023 10:25:10 GMT",
"version": "v7"
}
] |
2023-11-07
|
[
[
"Kim",
"Manki",
""
]
] |
To compute the string one-loop correction to the Kahler potential of moduli fields of string compactifications in Einstein-frame, one must compute: the string one-loop correction to the Einstein-Hilbert action, the string one-loop correction to the moduli kinetic terms, the string one-loop correction to the definition of the holomorphic coordinates. In this note, we compute the string one-loop correction to the Einstein-Hilbert action of type II string theory compactified on orientifolds of Calabi-Yau threefolds. We find that the one-loop correction is determined by the new supersymmetric index studied by Cecotti, Fendley, Intriligator, and Vafa. As a simple application, we apply our results to estimate the size of the one-loop corrections around a conifold point in the Kahler moduli space.
|
hep-th/9706019
| null |
A. Bassetto, D. Colferai and G. Nardelli
|
$q\bar q$ interaction in light-cone gauge formulations of Yang-Mills
theory in 1+1 dimensions
|
30 pages, latex, one figure included as a ps file, an Erratum
included
|
Nucl.Phys. B501 (1997) 227-250; Erratum-ibid. B507 (1997) 746-747
| null |
CERN-TH/97-117
|
hep-th hep-ph
| null |
A rectangular Wilson loop with sides parallel to space and time directions is
perturbatively evaluated in two light-cone gauge formulations of Yang-Mills
theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions
between static quarks. In the instantaneous formulation we get Abelian-like
exponentiation of the area in terms of $C_F$. In the ``causal'' formulation the
loop depends not only on the area, but also on the dimensionless ratio $\beta =
{L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides
it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law
is recovered, but dependence on $C_A$ survives. Consequences of these results
are pointed out.
|
[
{
"created": "Tue, 3 Jun 1997 14:26:11 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 1997 14:39:41 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Bassetto",
"A.",
""
],
[
"Colferai",
"D.",
""
],
[
"Nardelli",
"G.",
""
]
] |
A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between static quarks. In the instantaneous formulation we get Abelian-like exponentiation of the area in terms of $C_F$. In the ``causal'' formulation the loop depends not only on the area, but also on the dimensionless ratio $\beta = {L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law is recovered, but dependence on $C_A$ survives. Consequences of these results are pointed out.
|
hep-th/9612206
|
Bergerhoff Bastian
|
Christof Wetterich (ITP, U Heidelberg)
|
Time Evolution of Non-Equilibrium Effective Action
|
8 pages, Latex
|
Phys.Rev.Lett. 78 (1997) 3598-3601
|
10.1103/PhysRevLett.78.3598
| null |
hep-th cond-mat
| null |
The time evolution of correlation functions in statistical systems is
described by an exact functional differential equation for the corresponding
generating functionals. This allows for a systematic discussion of
non-equilibrium physics and the approach to equilibrium without the need of
solving the nonlinear microscopic equations of motion or computing the time
dependence of the probability distribution explicitly.
|
[
{
"created": "Thu, 19 Dec 1996 18:16:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Wetterich",
"Christof",
"",
"ITP, U Heidelberg"
]
] |
The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics and the approach to equilibrium without the need of solving the nonlinear microscopic equations of motion or computing the time dependence of the probability distribution explicitly.
|
0908.2618
|
Fa-Min Chen
|
Fa-Min Chen
|
Symplectic Three-Algebra Unifying N=5,6 Superconformal
Chern-Simons-Matter Theories
|
31 pages, minor changes, final results remain the same
|
JHEP 1008:077,2010
|
10.1007/JHEP08(2010)077
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a 3-algebra with structure constants being symmetric in the first
two indices. We also introduce an invariant anti-symmetric tensor into this
3-algebra and call it a symplectic 3-algebra. The general N=5 superconformal
Chern-Simons-matter (CSM) theory with SO(5) R-symmetry in three dimensions is
constructed by using this algebraic structure. We demonstrate that the
supersymmetry can be enhanced to N=6 if the sympelctic 3-algebra and the fields
are decomposed in a proper fashion. By specifying the 3-brackets, some
presently known N=5, 6 superconformal theories are described in terms of this
unified 3-algebraic framework. These include the N=5, Sp(2N) X O(M) CSM theory
with SO(5) R-symmetry , the N=6, Sp(2N) X U(1) CSM theory with SU(4)
R-symmetry, as well as the ABJM theory as a special case of U(M) X U(N) theory
with SU(4) R-symmetry.
|
[
{
"created": "Tue, 18 Aug 2009 19:46:14 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2010 17:42:18 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Feb 2010 20:48:54 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Aug 2010 22:24:46 GMT",
"version": "v4"
}
] |
2010-08-19
|
[
[
"Chen",
"Fa-Min",
""
]
] |
We define a 3-algebra with structure constants being symmetric in the first two indices. We also introduce an invariant anti-symmetric tensor into this 3-algebra and call it a symplectic 3-algebra. The general N=5 superconformal Chern-Simons-matter (CSM) theory with SO(5) R-symmetry in three dimensions is constructed by using this algebraic structure. We demonstrate that the supersymmetry can be enhanced to N=6 if the sympelctic 3-algebra and the fields are decomposed in a proper fashion. By specifying the 3-brackets, some presently known N=5, 6 superconformal theories are described in terms of this unified 3-algebraic framework. These include the N=5, Sp(2N) X O(M) CSM theory with SO(5) R-symmetry , the N=6, Sp(2N) X U(1) CSM theory with SU(4) R-symmetry, as well as the ABJM theory as a special case of U(M) X U(N) theory with SU(4) R-symmetry.
|
2010.07867
|
Keigo Shimada
|
Mio Kubota, Kin-ya Oda, Keigo Shimada, Masahide Yamaguchi
|
Cosmological Perturbations in Palatini Formalism
|
29 pages, Comments welcome!
| null |
10.1088/1475-7516/2021/03/006
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate cosmological perturbations of scalar-tensor theories in
Palatini formalism. First we introduce an action where the Ricci scalar is
conformally coupled to a function of a scalar field and its kinetic term and
there is also a k-essence term consisting of the scalar and its kinetic term.
This action has three frames that are equivalent to one another: the original
Jordan frame, the Einstein frame where the metric is redefined, and the Riemann
frame where the connection is redefined. For the first time in the literature,
we calculate the quadratic action and the sound speed of scalar and tensor
perturbations in three different frames and show explicitly that they coincide.
Furthermore, we show that for such action the sound speed of gravitational
waves is unity. Thus, this model serves as dark energy as well as an inflaton
even though the presence of the dependence of the kinetic term of a scalar
field in the non-minimal coupling, different from the case in metric formalism.
We then proceed to construct the L3 action called Galileon terms in Palatini
formalism and compute its perturbations. We found that there are essentially 10
different(inequivalent) definitions in Palatini formalism for a given Galileon
term in metric formalism. We also see that,in general, the L3 terms have a
ghost due to Ostrogradsky instability and the sound speed of gravitational
waves could potentially deviate from unity, in sharp contrast with the case of
metric formalism. Interestingly, once we eliminate such a ghost, the sound
speed of gravitational waves also becomes unity. Thus, the ghost-free L3 terms
in Palatini formalism can still serve as dark energy as well as an inflaton,
like the case in metric formalism.
|
[
{
"created": "Thu, 15 Oct 2020 16:39:56 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Kubota",
"Mio",
""
],
[
"Oda",
"Kin-ya",
""
],
[
"Shimada",
"Keigo",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] |
We investigate cosmological perturbations of scalar-tensor theories in Palatini formalism. First we introduce an action where the Ricci scalar is conformally coupled to a function of a scalar field and its kinetic term and there is also a k-essence term consisting of the scalar and its kinetic term. This action has three frames that are equivalent to one another: the original Jordan frame, the Einstein frame where the metric is redefined, and the Riemann frame where the connection is redefined. For the first time in the literature, we calculate the quadratic action and the sound speed of scalar and tensor perturbations in three different frames and show explicitly that they coincide. Furthermore, we show that for such action the sound speed of gravitational waves is unity. Thus, this model serves as dark energy as well as an inflaton even though the presence of the dependence of the kinetic term of a scalar field in the non-minimal coupling, different from the case in metric formalism. We then proceed to construct the L3 action called Galileon terms in Palatini formalism and compute its perturbations. We found that there are essentially 10 different(inequivalent) definitions in Palatini formalism for a given Galileon term in metric formalism. We also see that,in general, the L3 terms have a ghost due to Ostrogradsky instability and the sound speed of gravitational waves could potentially deviate from unity, in sharp contrast with the case of metric formalism. Interestingly, once we eliminate such a ghost, the sound speed of gravitational waves also becomes unity. Thus, the ghost-free L3 terms in Palatini formalism can still serve as dark energy as well as an inflaton, like the case in metric formalism.
|
hep-th/9503023
|
Klaus Kirsten
|
M. Bordag, E. Elizalde and K. Kirsten
|
Heat-kernel coefficients of the Laplace operator on the D-dimensional
ball
|
29 pages, LaTex, lines had been cut in the previous version by
transmission, no further changes
|
J.Math.Phys.37:895-916,1996
|
10.1063/1.531418
|
UB-ECM-PF 95/3
|
hep-th
| null |
We present a very quick and powerful method for the calculation of
heat-kernel coefficients. It makes use of rather common ideas, as integral
representations of the spectral sum, Mellin transforms, non-trivial commutation
of series and integrals and skilful analytic continuation of zeta functions on
the complex plane. We apply our method to the case of the heat-kernel expansion
of the Laplace operator on a $D$-dimensional ball with either Dirichlet,
Neumann or, in general, Robin boundary conditions. The final formulas are quite
simple. Using this case as an example, we illustrate in detail our scheme
---which serves for the calculation of an (in principle) arbitrary number of
heat-kernel coefficients in any situation when the basis functions are known.
We provide a complete list of new results for the coefficients
$B_3,...,B_{10}$, corresponding to the $D$-dimensional ball with all the
mentioned boundary conditions and $D=3,4,5$.
|
[
{
"created": "Fri, 3 Mar 1995 20:14:28 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 1995 16:03:53 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Bordag",
"M.",
""
],
[
"Elizalde",
"E.",
""
],
[
"Kirsten",
"K.",
""
]
] |
We present a very quick and powerful method for the calculation of heat-kernel coefficients. It makes use of rather common ideas, as integral representations of the spectral sum, Mellin transforms, non-trivial commutation of series and integrals and skilful analytic continuation of zeta functions on the complex plane. We apply our method to the case of the heat-kernel expansion of the Laplace operator on a $D$-dimensional ball with either Dirichlet, Neumann or, in general, Robin boundary conditions. The final formulas are quite simple. Using this case as an example, we illustrate in detail our scheme ---which serves for the calculation of an (in principle) arbitrary number of heat-kernel coefficients in any situation when the basis functions are known. We provide a complete list of new results for the coefficients $B_3,...,B_{10}$, corresponding to the $D$-dimensional ball with all the mentioned boundary conditions and $D=3,4,5$.
|
2211.02064
|
Ioannis Matthaiakakis
|
Johanna Erdmenger, Bastian He{\ss}, Ioannis Matthaiakakis, Ren\'e
Meyer
|
Universal Gibbons-Hawking-York term for theories with curvature, torsion
and non-metricity
|
Submission to SciPost, 22+9 pages, v2: extended discussion in section
3.3, added citations
|
SciPost Phys. 14, 099 (2023)
|
10.21468/SciPostPhys.14.5.099
| null |
hep-th cond-mat.str-el gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Motivated by establishing holographic renormalization for gravitational
theories with non-metricity and torsion, we present a new and efficient general
method for calculating Gibbons-Hawking-York (GHY) terms. Our method consists of
linearizing any nonlinearity in curvature, torsion or non-metricity by
introducing suitable Lagrange multipliers. Moreover, we use a split formalism
for differential forms, writing them in $(n-1)+1$ dimensions. The boundary
terms of the action are manifest in this formalism by means of Stokes' theorem,
such that the compensating GHY term for the Dirichlet problem may be read off
directly. We observe that only those terms in the Lagrangian that contain
curvature contribute to the GHY term. Terms polynomial solely in torsion and
non-metricity do not require any GHY term compensation for the variational
problem to be well-defined. We test our method by confirming existing results
for Einstein-Hilbert and four-dimensional Chern-Simons modified gravity.
Moreover, we obtain new results for Lovelock-Chern-Simons and metric-affine
gravity. For all four examples, our new method and results contribute to a new
approach towards a systematic hydrodynamic expansion for spin and hypermomentum
currents within AdS/CFT.
|
[
{
"created": "Thu, 3 Nov 2022 18:00:11 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Dec 2022 11:16:14 GMT",
"version": "v2"
}
] |
2023-05-03
|
[
[
"Erdmenger",
"Johanna",
""
],
[
"Heß",
"Bastian",
""
],
[
"Matthaiakakis",
"Ioannis",
""
],
[
"Meyer",
"René",
""
]
] |
Motivated by establishing holographic renormalization for gravitational theories with non-metricity and torsion, we present a new and efficient general method for calculating Gibbons-Hawking-York (GHY) terms. Our method consists of linearizing any nonlinearity in curvature, torsion or non-metricity by introducing suitable Lagrange multipliers. Moreover, we use a split formalism for differential forms, writing them in $(n-1)+1$ dimensions. The boundary terms of the action are manifest in this formalism by means of Stokes' theorem, such that the compensating GHY term for the Dirichlet problem may be read off directly. We observe that only those terms in the Lagrangian that contain curvature contribute to the GHY term. Terms polynomial solely in torsion and non-metricity do not require any GHY term compensation for the variational problem to be well-defined. We test our method by confirming existing results for Einstein-Hilbert and four-dimensional Chern-Simons modified gravity. Moreover, we obtain new results for Lovelock-Chern-Simons and metric-affine gravity. For all four examples, our new method and results contribute to a new approach towards a systematic hydrodynamic expansion for spin and hypermomentum currents within AdS/CFT.
|
1111.1987
|
Roberto Volpato
|
Alejandra Castro, Matthias R. Gaberdiel, Thomas Hartman, Alexander
Maloney, Roberto Volpato
|
The Gravity Dual of the Ising Model
|
42 pages
| null |
10.1103/PhysRevD.85.024032
|
AEI-2011-079; NSF-KITP-11-221
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the partition function of three dimensional theories of gravity
in the quantum regime, where the AdS radius is Planck scale and the central
charge is of order one. The contribution from the AdS vacuum sector can - with
certain assumptions - be computed and equals the vacuum character of a minimal
model CFT. The torus partition function is given by a sum over geometries which
is finite and computable. For generic values of Newton's constant G and the AdS
radius L the result has no Hilbert space interpretation, but in certain cases
it agrees with the partition function of a known CFT. For example, the
partition function of pure Einstein gravity with G=3L equals that of the Ising
model, providing evidence that these theories are dual. We also present
somewhat weaker evidence that the 3-state and tricritical Potts models are dual
to pure higher spin theories of gravity based on SL(3) and E_6, respectively.
|
[
{
"created": "Tue, 8 Nov 2011 17:43:08 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Castro",
"Alejandra",
""
],
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Volpato",
"Roberto",
""
]
] |
We evaluate the partition function of three dimensional theories of gravity in the quantum regime, where the AdS radius is Planck scale and the central charge is of order one. The contribution from the AdS vacuum sector can - with certain assumptions - be computed and equals the vacuum character of a minimal model CFT. The torus partition function is given by a sum over geometries which is finite and computable. For generic values of Newton's constant G and the AdS radius L the result has no Hilbert space interpretation, but in certain cases it agrees with the partition function of a known CFT. For example, the partition function of pure Einstein gravity with G=3L equals that of the Ising model, providing evidence that these theories are dual. We also present somewhat weaker evidence that the 3-state and tricritical Potts models are dual to pure higher spin theories of gravity based on SL(3) and E_6, respectively.
|
hep-th/0111230
|
Hiroshi Ishikawa
|
Hiroshi Ishikawa (Tohoku Univ.)
|
Boundary states in coset conformal field theories
|
30 pages, latex2e; (v3) typos corrected in eqs.(3.24)(3.26)(3.27), no
change in the results
|
Nucl.Phys. B629 (2002) 209-232
|
10.1016/S0550-3213(02)00131-1
|
TU-640
|
hep-th math.QA
| null |
We construct various boundary states in the coset conformal field theory G/H.
The G/H theory admits the twisted boundary condition if the G theory has an
outer automorphism of the horizontal subalgebra that induces an automorphism of
the H theory. By introducing the notion of the brane identification and the
brane selection rule, we show that the twisted boundary states of the G/H
theory can be constructed from those of the G and the H theories. We apply our
construction to the su(n) diagonal cosets and the su(2)/u(1) parafermion theory
to obtain the twisted boundary states of these theories.
|
[
{
"created": "Mon, 26 Nov 2001 20:44:01 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2002 09:53:15 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Jul 2003 09:34:42 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Ishikawa",
"Hiroshi",
"",
"Tohoku Univ."
]
] |
We construct various boundary states in the coset conformal field theory G/H. The G/H theory admits the twisted boundary condition if the G theory has an outer automorphism of the horizontal subalgebra that induces an automorphism of the H theory. By introducing the notion of the brane identification and the brane selection rule, we show that the twisted boundary states of the G/H theory can be constructed from those of the G and the H theories. We apply our construction to the su(n) diagonal cosets and the su(2)/u(1) parafermion theory to obtain the twisted boundary states of these theories.
|
hep-th/0002121
|
Eva Silverstein
|
Shamit Kachru, Michael Schulz, and Eva Silverstein
|
Bounds on curved domain walls in 5d gravity
|
9 pages, harvmac big. Version 2: Significant error in quantitative
bounds corrected; bounds are not numerically smaller than Standard Model
physics without further assumptions about the VEV of the dilaton. However,
qualitative bound on curvature scale by bulk Kaluza-Klein scale unchanged
Version 3: Minor changes
|
Phys.Rev.D62:085003,2000
|
10.1103/PhysRevD.62.085003
|
SLAC-PUB-8381, SU-ITP-00/06
|
hep-th
| null |
We discuss maximally symmetric curved deformations of the flat domain wall
solutions of five-dimensional dilaton gravity that appeared in a recent
approach to the cosmological constant problem. By analyzing the bulk field
configurations and the boundary conditions at a four-dimensional maximally
symmetric curved domain wall, we obtain constraints on such solutions. For a
special dilaton coupling to the brane tension that appeared in recent works, we
find no curved deformations, confirming and extending slightly a result of
Arkani-Hamed et al which was argued using a $Z_2$-symmetry of the solution. For
more general dilaton-dependent brane tension, we find that the curvature is
bounded by the Kaluza-Klein scale in the fifth dimension.
|
[
{
"created": "Tue, 15 Feb 2000 23:27:21 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2000 20:26:38 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Feb 2000 04:54:51 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Kachru",
"Shamit",
""
],
[
"Schulz",
"Michael",
""
],
[
"Silverstein",
"Eva",
""
]
] |
We discuss maximally symmetric curved deformations of the flat domain wall solutions of five-dimensional dilaton gravity that appeared in a recent approach to the cosmological constant problem. By analyzing the bulk field configurations and the boundary conditions at a four-dimensional maximally symmetric curved domain wall, we obtain constraints on such solutions. For a special dilaton coupling to the brane tension that appeared in recent works, we find no curved deformations, confirming and extending slightly a result of Arkani-Hamed et al which was argued using a $Z_2$-symmetry of the solution. For more general dilaton-dependent brane tension, we find that the curvature is bounded by the Kaluza-Klein scale in the fifth dimension.
|
1706.04385
|
Mustapha Azreg-A\"inou
|
Mustapha Azreg-A\"inou
|
Smoothed one-core and core--multi-shell regular black holes
|
13 two-column pages, 3 figures, 2 tables. Extended version with new
title
|
Eur. Phys. J. C, 78(6) (2018) 476
|
10.1140/epjc/s10052-018-5966-y
| null |
hep-th astro-ph.GA astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the generic properties of a general, smoothly varying, spherically
symmetric mass distribution $\mathcal{D}(r,\theta)$, with no cosmological term
($\theta$ is a length scale parameter). Observing these constraints, we show
that (a) the de Sitter behavior of spacetime at the origin is generic and
depends only on $\mathcal{D}(0,\theta)$, (b) the geometry may posses up to
$2(k+1)$ horizons depending solely on the total mass $M$ if the cumulative
distribution of $\mathcal{D}(r,\theta)$ has $2k+1$ inflection points, and (c)
no scalar invariant nor a thermodynamic entity diverges. We define new
two-parameter mathematical distributions mimicking Gaussian and step-like
functions and reduce to the Dirac distribution in the limit of vanishing
parameter $\theta$. We use these distributions to derive in closed forms
asymptotically flat, spherically symmetric, solutions that describe and model a
variety of physical and geometric entities ranging from noncommutative black
holes, quantum-corrected black holes to stars and dark matter halos for various
scaling values of $\theta$. We show that the mass-to-radius ratio $\pi c^2/G$
is an upper limit for regular-black-hole formation. Core--multi-shell and
multi-shell regular black holes are also derived.
|
[
{
"created": "Wed, 14 Jun 2017 09:47:44 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2018 07:42:50 GMT",
"version": "v2"
}
] |
2018-06-12
|
[
[
"Azreg-Aïnou",
"Mustapha",
""
]
] |
We discuss the generic properties of a general, smoothly varying, spherically symmetric mass distribution $\mathcal{D}(r,\theta)$, with no cosmological term ($\theta$ is a length scale parameter). Observing these constraints, we show that (a) the de Sitter behavior of spacetime at the origin is generic and depends only on $\mathcal{D}(0,\theta)$, (b) the geometry may posses up to $2(k+1)$ horizons depending solely on the total mass $M$ if the cumulative distribution of $\mathcal{D}(r,\theta)$ has $2k+1$ inflection points, and (c) no scalar invariant nor a thermodynamic entity diverges. We define new two-parameter mathematical distributions mimicking Gaussian and step-like functions and reduce to the Dirac distribution in the limit of vanishing parameter $\theta$. We use these distributions to derive in closed forms asymptotically flat, spherically symmetric, solutions that describe and model a variety of physical and geometric entities ranging from noncommutative black holes, quantum-corrected black holes to stars and dark matter halos for various scaling values of $\theta$. We show that the mass-to-radius ratio $\pi c^2/G$ is an upper limit for regular-black-hole formation. Core--multi-shell and multi-shell regular black holes are also derived.
|
2111.05772
|
Eleni-Alexandra Kontou
|
Jackson R. Fliss, Ben Freivogel, Eleni-Alexandra Kontou
|
The double smeared null energy condition
|
33 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The null energy condition (NEC), an important assumption of the Penrose
singularity theorem, is violated by quantum fields. The natural generalization
of the NEC in quantum field theory, the renormalized null energy averaged over
a finite null segment, is known to be unbounded from below. Here, we propose an
alternative, the double smeared null energy condition (DSNEC), stating that the
null energy smeared over two null directions has a finite lower bound. We
rigorously derive DSNEC from general worldvolume bounds for free quantum fields
in Minkowski spacetime. Our method allows for future systematic inclusion of
curvature corrections. As a further application of the techniques we develop,
we prove additional lower bounds on the expectation values of various operators
such as conserved higher spin currents. DSNEC provides a natural starting point
for proving singularity theorems in semi-classical gravity.
|
[
{
"created": "Wed, 10 Nov 2021 16:24:47 GMT",
"version": "v1"
}
] |
2021-11-11
|
[
[
"Fliss",
"Jackson R.",
""
],
[
"Freivogel",
"Ben",
""
],
[
"Kontou",
"Eleni-Alexandra",
""
]
] |
The null energy condition (NEC), an important assumption of the Penrose singularity theorem, is violated by quantum fields. The natural generalization of the NEC in quantum field theory, the renormalized null energy averaged over a finite null segment, is known to be unbounded from below. Here, we propose an alternative, the double smeared null energy condition (DSNEC), stating that the null energy smeared over two null directions has a finite lower bound. We rigorously derive DSNEC from general worldvolume bounds for free quantum fields in Minkowski spacetime. Our method allows for future systematic inclusion of curvature corrections. As a further application of the techniques we develop, we prove additional lower bounds on the expectation values of various operators such as conserved higher spin currents. DSNEC provides a natural starting point for proving singularity theorems in semi-classical gravity.
|
1307.0787
|
Domenico Seminara
|
Luca Griguolo, Gabriele Martelloni, Matteo Poggi and Domenico Seminara
|
Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super
Chern-Simons theories
|
32 pages, 5 figures, Referemces added
| null |
10.1007/JHEP09(2013)157
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a complete two-loop analysis of the quantum expectation value for
circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS
case, that requires non-trivial fermionic couplings with the contour, finding
perfect agreement with the exact matrix model answer at zero framing. The
result is obtained through a careful application of DRED regularization scheme,
combined with a judicious rearrangement of the relevant perturbative
contributions that reduces the computation to simple integrals. We carefully
analyze the contribution of fermions that is crucial for the consistency with
the localization procedure and point out the arising of pivotal evanescent
terms, discussing their meaning in relation to Ward identities.
|
[
{
"created": "Tue, 2 Jul 2013 18:30:11 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jul 2013 22:05:46 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Griguolo",
"Luca",
""
],
[
"Martelloni",
"Gabriele",
""
],
[
"Poggi",
"Matteo",
""
],
[
"Seminara",
"Domenico",
""
]
] |
We present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial fermionic couplings with the contour, finding perfect agreement with the exact matrix model answer at zero framing. The result is obtained through a careful application of DRED regularization scheme, combined with a judicious rearrangement of the relevant perturbative contributions that reduces the computation to simple integrals. We carefully analyze the contribution of fermions that is crucial for the consistency with the localization procedure and point out the arising of pivotal evanescent terms, discussing their meaning in relation to Ward identities.
|
1806.11550
|
Zhijin Li
|
Zhijin Li
|
Superconformal Partial Waves for Stress-tensor Multiplet Correlator in
$4D$ $\mathcal{N}=2$ SCFTs
|
50 Pages, 0 figure; v2: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the superconformal partial waves of the four-point correlator
$\langle JJJJ\rangle$, in which the external operator $J$ is the superconformal
primary of the $4D$ $\mathcal{N}=2$ stress-tensor multiplet $\mathcal{J}$. We
develop the superembedding formalism for the superconformal field theories
(SCFTs) with extended supersymmetry. In $\mathcal{N}=2$ SCFTs, the three-point
functions $\langle \mathcal{J}\mathcal{J}\mathcal{O}\rangle$ with general
multiplet $\mathcal{O}$ contain two independent nilpotent superconformal
invariants and new superconformal tensor structures, which can be nicely
constructed from variables in superembedding space, and the three-point
functions can be solved in compact forms. We compute the superconformal partial
waves corresponding to the exchange of long multiplets using supershadow
approach. The results are consistent with the non-trivial constraints by
decomposing the $\mathcal{N}=2$ superconformal blocks into $\mathcal{N}=1$
superconformal blocks. Our results provide the necessary ingredient to study
the fascinating $4D$ $\mathcal{N}=2$ SCFTs using conformal bootstrap.
|
[
{
"created": "Fri, 29 Jun 2018 17:34:21 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 19:40:44 GMT",
"version": "v2"
}
] |
2020-02-07
|
[
[
"Li",
"Zhijin",
""
]
] |
We compute the superconformal partial waves of the four-point correlator $\langle JJJJ\rangle$, in which the external operator $J$ is the superconformal primary of the $4D$ $\mathcal{N}=2$ stress-tensor multiplet $\mathcal{J}$. We develop the superembedding formalism for the superconformal field theories (SCFTs) with extended supersymmetry. In $\mathcal{N}=2$ SCFTs, the three-point functions $\langle \mathcal{J}\mathcal{J}\mathcal{O}\rangle$ with general multiplet $\mathcal{O}$ contain two independent nilpotent superconformal invariants and new superconformal tensor structures, which can be nicely constructed from variables in superembedding space, and the three-point functions can be solved in compact forms. We compute the superconformal partial waves corresponding to the exchange of long multiplets using supershadow approach. The results are consistent with the non-trivial constraints by decomposing the $\mathcal{N}=2$ superconformal blocks into $\mathcal{N}=1$ superconformal blocks. Our results provide the necessary ingredient to study the fascinating $4D$ $\mathcal{N}=2$ SCFTs using conformal bootstrap.
|
hep-th/0412273
|
Steven Willison
|
Elias Gravanis and Steven Willison
|
Intersecting hypersurfaces in AdS and Lovelock gravity
|
35 pages, 1 figure. Published version
|
J.Math.Phys.47:092503,2006
|
10.1063/1.2338143
| null |
hep-th gr-qc
| null |
Colliding and intersecting hypersurfaces filled with matter (membranes) are
studied in the Lovelock higher order curvature theory of gravity. Lovelock
terms couple hypersurfaces of different dimensionalities, extending the range
of possible intersection configurations. We restrict the study to constant
curvature membranes in constant curvature AdS and dS background and consider
their general intersections. This illustrates some key features which make the
theory different to the Einstein gravity. Higher co-dimension membranes may lie
at the intersection of co-dimension 1 hypersurfaces in Lovelock gravity; the
hypersurfaces are located at the discontinuities of the first derivative of the
metric, and they need not carry matter.
The example of colliding membranes shows that general solutions can only be
supported by (spacelike) matter at the collision surface, thus naturally
conflicting with the dominant energy condition (DEC). The imposition of the DEC
gives selection rules on the types of collision allowed.
When the hypersurfaces don't carry matter, one gets a soliton-like
configuration. Then, at the intersection one has a co-dimension 2 or higher
membrane standing alone in AdS-vacuum spacetime \emph{without conical
singularities.}
Another result is that if the number of intersecting hypersurfaces goes to
infinity the limiting spacetime is free of curvature singularities if the
intersection is put at the boundary of each AdS bulk.
|
[
{
"created": "Wed, 22 Dec 2004 14:52:56 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Dec 2004 00:19:42 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Feb 2005 05:04:38 GMT",
"version": "v3"
},
{
"created": "Tue, 18 Apr 2006 21:45:18 GMT",
"version": "v4"
},
{
"created": "Wed, 11 Oct 2006 03:41:26 GMT",
"version": "v5"
}
] |
2008-11-26
|
[
[
"Gravanis",
"Elias",
""
],
[
"Willison",
"Steven",
""
]
] |
Colliding and intersecting hypersurfaces filled with matter (membranes) are studied in the Lovelock higher order curvature theory of gravity. Lovelock terms couple hypersurfaces of different dimensionalities, extending the range of possible intersection configurations. We restrict the study to constant curvature membranes in constant curvature AdS and dS background and consider their general intersections. This illustrates some key features which make the theory different to the Einstein gravity. Higher co-dimension membranes may lie at the intersection of co-dimension 1 hypersurfaces in Lovelock gravity; the hypersurfaces are located at the discontinuities of the first derivative of the metric, and they need not carry matter. The example of colliding membranes shows that general solutions can only be supported by (spacelike) matter at the collision surface, thus naturally conflicting with the dominant energy condition (DEC). The imposition of the DEC gives selection rules on the types of collision allowed. When the hypersurfaces don't carry matter, one gets a soliton-like configuration. Then, at the intersection one has a co-dimension 2 or higher membrane standing alone in AdS-vacuum spacetime \emph{without conical singularities.} Another result is that if the number of intersecting hypersurfaces goes to infinity the limiting spacetime is free of curvature singularities if the intersection is put at the boundary of each AdS bulk.
|
hep-th/0212344
|
Ram Brustein
|
R. Brustein, S.P. de Alwis, E.G. Novak
|
M-Theory Moduli Space and Cosmology
|
42 pages, 3 figures
|
Phys.Rev. D68 (2003) 043507
|
10.1103/PhysRevD.68.043507
| null |
hep-th
| null |
We conduct a systematic search for a viable string/M-theory cosmology,
focusing on cosmologies that include an era of slow-roll inflation, after which
the moduli are stabilized and the Universe is in a state with an acceptably
small cosmological constant. We observe that the duality relations between
different cosmological backgrounds of string/M-theory moduli space are greatly
simplified, and that this simplification leads to a truncated moduli space
within which possible cosmological solutions lie. We review some known
challenges to four dimensional models in the "outer", perturbative, region of
moduli space, and use duality relations to extend them to models of all of the
(compactified) perturbative string theories and 11D supergravity, including
brane world models. We conclude that cosmologies restricted to the outer region
are not viable, and that the most likely region of moduli space in which to
find realistic cosmology is the "central", non-perturbative region, with
coupling and compact volume both of order unity, in string units.
|
[
{
"created": "Tue, 31 Dec 2002 10:42:36 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Brustein",
"R.",
""
],
[
"de Alwis",
"S. P.",
""
],
[
"Novak",
"E. G.",
""
]
] |
We conduct a systematic search for a viable string/M-theory cosmology, focusing on cosmologies that include an era of slow-roll inflation, after which the moduli are stabilized and the Universe is in a state with an acceptably small cosmological constant. We observe that the duality relations between different cosmological backgrounds of string/M-theory moduli space are greatly simplified, and that this simplification leads to a truncated moduli space within which possible cosmological solutions lie. We review some known challenges to four dimensional models in the "outer", perturbative, region of moduli space, and use duality relations to extend them to models of all of the (compactified) perturbative string theories and 11D supergravity, including brane world models. We conclude that cosmologies restricted to the outer region are not viable, and that the most likely region of moduli space in which to find realistic cosmology is the "central", non-perturbative region, with coupling and compact volume both of order unity, in string units.
|
hep-th/0402046
|
Antoine Van Proeyen
|
Pierre Binetruy, Gia Dvali, Renata Kallosh and Antoine Van Proeyen
|
Fayet-Iliopoulos Terms in Supergravity and Cosmology
|
42 pages
|
Class.Quant.Grav. 21 (2004) 3137-3170
|
10.1088/0264-9381/21/13/005
|
LPT Orsay-04/15, SU-ITP-04/02, NYU-TH/04/02/9, KUL-TF-04/02
|
hep-th astro-ph gr-qc hep-ph
| null |
We clarify the structure of N=1 supergravity in 1+3 dimensions with constant
FI terms. The FI terms induce non-vanishing R-charges for the fermions and the
superpotential. Therefore the D-term inflation model in supergravity with
constant FI terms has to be revisited.
We also investigate the case of the so-called anomalous U(1) when a chiral
superfield is shifted under U(1). In such a case, in the context of string
theory, the FI terms originate from the derivative of the Kaehler potential and
they are inevitably field-dependent. This raises an issue of stabilization of
the relevant field in applications to cosmology.
The recently suggested equivalence between the D-term strings and D-branes of
type II theory shows that brane-anti-brane systems produce FI terms in the
effective 4d theory, with the Ramond-Ramond axion shifting under the U(1)
symmetry. This connection gives the possibility to interpret many unknown
properties of D-\bar{D} systems in the more familiar language of 4d
supergravity D-terms, and vice versa. For instance, the shift of the axion
field in both cases restricts the possible forms of the moduli-stabilizing
superpotential. We provide some additional consistency checks of the
correspondence of D-term-strings to D-branes and show that instabilities of the
two are closely related. Surviving cosmic D-strings of type II theory may be
potentially observed in the form of D-term strings of 4d supergravity.
|
[
{
"created": "Thu, 5 Feb 2004 17:12:52 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Binetruy",
"Pierre",
""
],
[
"Dvali",
"Gia",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We clarify the structure of N=1 supergravity in 1+3 dimensions with constant FI terms. The FI terms induce non-vanishing R-charges for the fermions and the superpotential. Therefore the D-term inflation model in supergravity with constant FI terms has to be revisited. We also investigate the case of the so-called anomalous U(1) when a chiral superfield is shifted under U(1). In such a case, in the context of string theory, the FI terms originate from the derivative of the Kaehler potential and they are inevitably field-dependent. This raises an issue of stabilization of the relevant field in applications to cosmology. The recently suggested equivalence between the D-term strings and D-branes of type II theory shows that brane-anti-brane systems produce FI terms in the effective 4d theory, with the Ramond-Ramond axion shifting under the U(1) symmetry. This connection gives the possibility to interpret many unknown properties of D-\bar{D} systems in the more familiar language of 4d supergravity D-terms, and vice versa. For instance, the shift of the axion field in both cases restricts the possible forms of the moduli-stabilizing superpotential. We provide some additional consistency checks of the correspondence of D-term-strings to D-branes and show that instabilities of the two are closely related. Surviving cosmic D-strings of type II theory may be potentially observed in the form of D-term strings of 4d supergravity.
|
1510.06735
|
Yuho Sakatani
|
Soo-Jong Rey, Yuho Sakatani
|
Finite Transformations in Doubled and Exceptional Space
|
43 pages, 1 figure; v2: several discussion expanded
| null | null | null |
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the double field theory, gauge symmetries are realized as generalized
diffeomorphisms in the doubled spacetime. By consistency of the theory,
dependence of tensor fields on the doubled coordinates is strongly constrained.
This causes finite transformation law highly complicated, both technically and
conceptually. In this paper, we propose a new, physically intuitive approach to
finite gauge transformations by utilizing untwisted form of vector fields. In
our approach, finite gauge transformation law is expressed in terms of
diffeomorphisms on a maximal null subspace on which dynamical degrees of
freedom live and of a local rotation of this null subspace embedded inside the
doubled space. We show that our finite transformation automatically satisfies
the composition law. We also show that ours is free from the so-called
Papadopoulos problem, so can describe background with nontrivial three-form
flux $H_3$. Added advantage of our approach is straightforward applicability to
general extended field theories. We demonstrate this by explicitly obtaining
finite transformation law in the SL(5) exceptional field theory.
|
[
{
"created": "Thu, 22 Oct 2015 19:58:11 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2016 07:34:35 GMT",
"version": "v2"
}
] |
2016-02-03
|
[
[
"Rey",
"Soo-Jong",
""
],
[
"Sakatani",
"Yuho",
""
]
] |
In the double field theory, gauge symmetries are realized as generalized diffeomorphisms in the doubled spacetime. By consistency of the theory, dependence of tensor fields on the doubled coordinates is strongly constrained. This causes finite transformation law highly complicated, both technically and conceptually. In this paper, we propose a new, physically intuitive approach to finite gauge transformations by utilizing untwisted form of vector fields. In our approach, finite gauge transformation law is expressed in terms of diffeomorphisms on a maximal null subspace on which dynamical degrees of freedom live and of a local rotation of this null subspace embedded inside the doubled space. We show that our finite transformation automatically satisfies the composition law. We also show that ours is free from the so-called Papadopoulos problem, so can describe background with nontrivial three-form flux $H_3$. Added advantage of our approach is straightforward applicability to general extended field theories. We demonstrate this by explicitly obtaining finite transformation law in the SL(5) exceptional field theory.
|
2406.07134
|
Wei Li
|
Davide Gaiotto, Nikita Grygoryev, Wei Li
|
Categories of Line Defects and Cohomological Hall Algebras
|
78 pages
| null | null | null |
hep-th math.AG math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Any four-dimensional Supersymmetric Quantum Field Theory with eight
supercharges can be associated to a monoidal category of BPS line defects. Any
Coulomb vacuum of such a theory can be conjecturally associated to an "algebra
of BPS particles'', exemplified by certain Cohomological Hall Algebras. We
conjecture the existence of a monoidal functor from the category of line
defects to a certain category of bimodules for the BPS Algebra in any Coulomb
vacuum. We describe images of simple objects under the conjectural functor and
study their monoidal structure in examples. As we vary the choice of vacuum, we
expect the collection of functors associated to any given theory to capture the
full information of the original monoidal category of lines.
|
[
{
"created": "Tue, 11 Jun 2024 10:29:28 GMT",
"version": "v1"
}
] |
2024-06-12
|
[
[
"Gaiotto",
"Davide",
""
],
[
"Grygoryev",
"Nikita",
""
],
[
"Li",
"Wei",
""
]
] |
Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can be associated to a monoidal category of BPS line defects. Any Coulomb vacuum of such a theory can be conjecturally associated to an "algebra of BPS particles'', exemplified by certain Cohomological Hall Algebras. We conjecture the existence of a monoidal functor from the category of line defects to a certain category of bimodules for the BPS Algebra in any Coulomb vacuum. We describe images of simple objects under the conjectural functor and study their monoidal structure in examples. As we vary the choice of vacuum, we expect the collection of functors associated to any given theory to capture the full information of the original monoidal category of lines.
|
1704.00806
|
Hualong Gervais
|
Hualong Gervais
|
Soft Photon Theorem for High Energy Amplitudes in Yukawa and Scalar
Theories
|
50 pages, 14 figures
|
Phys. Rev. D 95, 125009 (2017)
|
10.1103/PhysRevD.95.125009
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the emission of soft photons coupling to high energy fixed angle
scattering processes at first order in the electromagnetic coupling but to all
loop orders in a class of theories without soft divergences, including massive
and massless Yukawa and scalar theories. We adapt a method introduced by del
Duca for quantum electrodynamics to show that subleading corrections to the
soft photon theorem are sensitive to the structure of non leading external jets
of collinear lines. Our techniques are based on a power counting analysis of
loop integrals and an application of jet Ward identities. We also apply Grammer
and Yennie's decomposition to isolate separately gauge invariant contributions
to the soft photon expansion. These are interpreted as infrared sensitive
matrix elements coupling to a field strength tensor.
|
[
{
"created": "Mon, 3 Apr 2017 20:54:41 GMT",
"version": "v1"
}
] |
2017-07-05
|
[
[
"Gervais",
"Hualong",
""
]
] |
We study the emission of soft photons coupling to high energy fixed angle scattering processes at first order in the electromagnetic coupling but to all loop orders in a class of theories without soft divergences, including massive and massless Yukawa and scalar theories. We adapt a method introduced by del Duca for quantum electrodynamics to show that subleading corrections to the soft photon theorem are sensitive to the structure of non leading external jets of collinear lines. Our techniques are based on a power counting analysis of loop integrals and an application of jet Ward identities. We also apply Grammer and Yennie's decomposition to isolate separately gauge invariant contributions to the soft photon expansion. These are interpreted as infrared sensitive matrix elements coupling to a field strength tensor.
|
2402.04174
|
Samuel Friot
|
Sumit Banik and Samuel Friot
|
Geometrical methods for the analytic evaluation of multiple
Mellin-Barnes integrals
|
12 pages, 3 figures, presented by S. Friot at the XLV International
Conference of Theoretical Physics "Matter to the Deepest", Warsaw, Poland,
17-22 September 2023 (extended version of the contribution to the proceedings
published in Acta Physica Polonica B)
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two recently developed techniques of analytic evaluation of multifold
Mellin-Barnes (MB) integrals are presented. Both approaches rest on the
definition of geometrical objets conveniently associated with the MB
integrands, which can then be used along with multivariate residues analysis to
derive series representations of the MB integrals. The first method is based on
introducing conic hulls and considering specific intersections of the latter,
while the second one rests on point configurations and their regular
triangulations. After a brief description of both methods, which have been
automatized in the MBConicHulls.wl Mathematica package, we review some of their
applications. In particular, we show how the conic hulls method was used to
obtain the first analytic calculation of complicated Feynman integrals, such as
the massless off-shell conformal hexagon and double-box. We then show that the
triangulation method is even more efficient, as it allows one to compute these
nontrivial objects and harder ones in a much faster way.
|
[
{
"created": "Tue, 6 Feb 2024 17:27:14 GMT",
"version": "v1"
}
] |
2024-02-07
|
[
[
"Banik",
"Sumit",
""
],
[
"Friot",
"Samuel",
""
]
] |
Two recently developed techniques of analytic evaluation of multifold Mellin-Barnes (MB) integrals are presented. Both approaches rest on the definition of geometrical objets conveniently associated with the MB integrands, which can then be used along with multivariate residues analysis to derive series representations of the MB integrals. The first method is based on introducing conic hulls and considering specific intersections of the latter, while the second one rests on point configurations and their regular triangulations. After a brief description of both methods, which have been automatized in the MBConicHulls.wl Mathematica package, we review some of their applications. In particular, we show how the conic hulls method was used to obtain the first analytic calculation of complicated Feynman integrals, such as the massless off-shell conformal hexagon and double-box. We then show that the triangulation method is even more efficient, as it allows one to compute these nontrivial objects and harder ones in a much faster way.
|
hep-th/0406173
|
Hiromitsu Takayanagi
|
Yu Nakayama, Yuji Sugawara and Hiromitsu Takayanagi
|
Boundary States for the Rolling D-branes in NS5 Background
|
25 pages, 2 figures, v2: typos corrected, reference added, v3:
emission rates of closed strings corrected
|
JHEP 0407 (2004) 020
|
10.1088/1126-6708/2004/07/020
|
UT-04-18
|
hep-th
| null |
In this paper we construct the time dependent boundary states describing the
``rolling D-brane solutions'' in the NS5 background discovered recently by
Kutasov by means of the classical DBI analysis. We first survey some aspects of
non-compact branes in the NS5 background based on known boundary states in the
N=2 Liouville theory. We consider two types of non-compact branes, one of which
is BPS and the other is non-BPS but stable. Then we clarify how to Wick-rotate
the non-BPS one appropriately. We show that the Wick-rotated boundary state
realizes the correct trajectory of rolling D-brane in the classical limit, and
leads to well behaved spectral densities of open strings due to the existence
of non-trivial damping factors of energy. We further study the cylinder
amplitudes and the emission rates of massive closed string modes.
|
[
{
"created": "Mon, 21 Jun 2004 09:31:11 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2004 08:20:33 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Aug 2004 05:52:45 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Nakayama",
"Yu",
""
],
[
"Sugawara",
"Yuji",
""
],
[
"Takayanagi",
"Hiromitsu",
""
]
] |
In this paper we construct the time dependent boundary states describing the ``rolling D-brane solutions'' in the NS5 background discovered recently by Kutasov by means of the classical DBI analysis. We first survey some aspects of non-compact branes in the NS5 background based on known boundary states in the N=2 Liouville theory. We consider two types of non-compact branes, one of which is BPS and the other is non-BPS but stable. Then we clarify how to Wick-rotate the non-BPS one appropriately. We show that the Wick-rotated boundary state realizes the correct trajectory of rolling D-brane in the classical limit, and leads to well behaved spectral densities of open strings due to the existence of non-trivial damping factors of energy. We further study the cylinder amplitudes and the emission rates of massive closed string modes.
|
2012.14358
|
Sergey Mozgovoy
|
Sergey Mozgovoy and Boris Pioline
|
Attractor invariants, brane tilings and crystals
|
58 pages, 19 figures
| null | null | null |
hep-th math.AG math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
Supersymmetric D-brane bound states on a Calabi-Yau threefold $X$ are counted
by generalized Donaldsdon-Thomas invariants $\Omega_Z(\gamma)$, depending on a
Chern character (or electromagnetic charge) $\gamma\in H^*(X)$ and a stability
condition (or central charge) $Z$. Attractor invariants $\Omega_*(\gamma)$ are
special instances of DT invariants, where $Z$ is the attractor stability
condition $Z_\gamma$ (a generic perturbation of self-stability), from which DT
invariants for any other stability condition can be deduced. While difficult to
compute in general, these invariants become tractable when $X$ is a crepant
resolution of a singular toric Calabi-Yau threefold associated to a brane
tiling, and hence to a quiver with potential. We survey some known results and
conjectures about framed and unframed refined DT invariants in this context,
and compute attractor invariants explicitly for a variety of toric Calabi-Yau
threefolds, in particular when $X$ is the total space of the canonical bundle
of a smooth projective surface, or when $X$ is a crepant resolution of $C^3/G$.
We check that in all these cases, $\Omega_*(\gamma)=0$ unless $\gamma$ is the
dimension vector of a simple representation or belongs to the kernel of the
skew-symmetrized Euler form. Based on computations in small dimensions, we
predict the values of all attractor invariants, thus potentially solving the
problem of counting DT invariants of these threefolds in all stability
chambers. We also compute the non-commutative refined DT invariants and verify
that they agree with the counting of molten crystals in the unrefined limit.
|
[
{
"created": "Mon, 28 Dec 2020 16:54:25 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2022 18:05:56 GMT",
"version": "v2"
}
] |
2022-01-27
|
[
[
"Mozgovoy",
"Sergey",
""
],
[
"Pioline",
"Boris",
""
]
] |
Supersymmetric D-brane bound states on a Calabi-Yau threefold $X$ are counted by generalized Donaldsdon-Thomas invariants $\Omega_Z(\gamma)$, depending on a Chern character (or electromagnetic charge) $\gamma\in H^*(X)$ and a stability condition (or central charge) $Z$. Attractor invariants $\Omega_*(\gamma)$ are special instances of DT invariants, where $Z$ is the attractor stability condition $Z_\gamma$ (a generic perturbation of self-stability), from which DT invariants for any other stability condition can be deduced. While difficult to compute in general, these invariants become tractable when $X$ is a crepant resolution of a singular toric Calabi-Yau threefold associated to a brane tiling, and hence to a quiver with potential. We survey some known results and conjectures about framed and unframed refined DT invariants in this context, and compute attractor invariants explicitly for a variety of toric Calabi-Yau threefolds, in particular when $X$ is the total space of the canonical bundle of a smooth projective surface, or when $X$ is a crepant resolution of $C^3/G$. We check that in all these cases, $\Omega_*(\gamma)=0$ unless $\gamma$ is the dimension vector of a simple representation or belongs to the kernel of the skew-symmetrized Euler form. Based on computations in small dimensions, we predict the values of all attractor invariants, thus potentially solving the problem of counting DT invariants of these threefolds in all stability chambers. We also compute the non-commutative refined DT invariants and verify that they agree with the counting of molten crystals in the unrefined limit.
|
1612.06348
|
Ruslan Metsaev
|
R.R. Metsaev
|
General light-cone gauge approach to conformal fields and applications
to scalar and vector fields
|
Comments: 39 pages, v2: Old results unchanged. New results and
conclusions for cubic vertices for scalar and vector fields and many
technical details in Secs.5,6,7 added. Conjecture about interrelations
between cubic vertices for conformal fields and massless fields added.
Appendices A,B,C and references added
| null | null |
FIAN/TD/2016-27
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Totally symmetric arbitrary spin conformal fields propagating in the flat
space of even dimension greater than or equal to four are studied. For such
fields, we develop a general ordinary-derivative light-cone gauge formalism and
obtain restrictions imposed by the conformal algebra symmetries on interaction
vertices. We apply our formalism for the detailed study of conformal scalar and
vector fields. For such fields, all parity-even cubic interaction vertices are
obtained. The cubic vertices obtained are presented in terms of dressing
operators and undressed vertices. We show that the undressed vertices of the
conformal scalar and vector fields are equal, up to overall factor, to the
cubic vertices of massless scalar and vector fields. Various conjectures about
interrelations between the cubic vertices for conformal fields in conformal
invariant theories and the cubic vertices for massless fields in Poincare
invariant theories are proposed.
|
[
{
"created": "Mon, 19 Dec 2016 20:47:49 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2022 13:34:54 GMT",
"version": "v2"
}
] |
2022-09-29
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain restrictions imposed by the conformal algebra symmetries on interaction vertices. We apply our formalism for the detailed study of conformal scalar and vector fields. For such fields, all parity-even cubic interaction vertices are obtained. The cubic vertices obtained are presented in terms of dressing operators and undressed vertices. We show that the undressed vertices of the conformal scalar and vector fields are equal, up to overall factor, to the cubic vertices of massless scalar and vector fields. Various conjectures about interrelations between the cubic vertices for conformal fields in conformal invariant theories and the cubic vertices for massless fields in Poincare invariant theories are proposed.
|
1812.01763
|
Kiyoshi Shiraishi
|
Kiyoshi Shiraishi, Satoru Hirenzaki
|
Quantum aspects of self-interacting fields around cosmic strings
|
12 pages, two figures
|
Classical and Quantum Gravity 9, No. 10 (1992), pp. 2277-2286
|
10.1088/0264-9381/9/10/011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The authors study the quantum effect of self-interacting fields in the
classical background of conical space, i.e. around a cosmic string with
infinitesimal width. The renormalized value of $\langle\phi^2\rangle$ and
energy-momentum tensor in the presence of cosmic strings are calculated in the
self-interacting scalar field theory. The amount of condensation is also
estimated in the case of the Dirac Lagrangian with the four-fermion
interaction. The physical implications of the above analyses are discussed.
|
[
{
"created": "Wed, 5 Dec 2018 00:38:39 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2019 03:12:19 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Nov 2019 07:16:05 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Dec 2019 01:35:52 GMT",
"version": "v4"
}
] |
2019-12-18
|
[
[
"Shiraishi",
"Kiyoshi",
""
],
[
"Hirenzaki",
"Satoru",
""
]
] |
The authors study the quantum effect of self-interacting fields in the classical background of conical space, i.e. around a cosmic string with infinitesimal width. The renormalized value of $\langle\phi^2\rangle$ and energy-momentum tensor in the presence of cosmic strings are calculated in the self-interacting scalar field theory. The amount of condensation is also estimated in the case of the Dirac Lagrangian with the four-fermion interaction. The physical implications of the above analyses are discussed.
|
1202.3388
|
I-Sheng Yang
|
I-Sheng Yang
|
The Strong Multifield Slowroll Condition and Spiral Inflation
|
12 pages, version 4, cosmetic changes recommended by referee,
resubmitting to PRD
| null |
10.1103/PhysRevD.85.123532
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out the existing confusions about the slowroll parameters and
conditions for multifield inflation. If one requires the fields to roll down
the gradient flow, we find that only articles adopting the Hubble slowroll
expansion are on the right track, and a correct condition can be found in a
recent book by Liddle and Lyth. We further analyze this condition and show that
the gradient flow requirement is stronger than just asking for a slowly
changing, quasi-de Sitter solution. Therefore it is possible to have a
multifield slowroll model that does not follow the gradient flow. Consequently,
it no longer requires the gradient to be small. It even bypasses the first
slowroll condition and some related no-go theorems from string theory. We
provide the "spiral inflation" as a generic blueprint of such inflation model
and show that it relies on a monodromy locus---a common structure in string
theory effective potentials.
|
[
{
"created": "Wed, 15 Feb 2012 17:57:14 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2012 21:13:23 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Apr 2012 16:46:20 GMT",
"version": "v3"
},
{
"created": "Thu, 19 Apr 2012 13:49:04 GMT",
"version": "v4"
},
{
"created": "Fri, 18 May 2012 19:29:09 GMT",
"version": "v5"
}
] |
2013-05-30
|
[
[
"Yang",
"I-Sheng",
""
]
] |
We point out the existing confusions about the slowroll parameters and conditions for multifield inflation. If one requires the fields to roll down the gradient flow, we find that only articles adopting the Hubble slowroll expansion are on the right track, and a correct condition can be found in a recent book by Liddle and Lyth. We further analyze this condition and show that the gradient flow requirement is stronger than just asking for a slowly changing, quasi-de Sitter solution. Therefore it is possible to have a multifield slowroll model that does not follow the gradient flow. Consequently, it no longer requires the gradient to be small. It even bypasses the first slowroll condition and some related no-go theorems from string theory. We provide the "spiral inflation" as a generic blueprint of such inflation model and show that it relies on a monodromy locus---a common structure in string theory effective potentials.
|
0907.1242
|
Jan Troost
|
Sujay K. Ashok, Raphael Benichou, Jan Troost
|
Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond
Fluxes
|
30 pages
|
JHEP 0910:051,2009
|
10.1088/1126-6708/2009/10/051
|
LPTENS-09/19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
String theory on AdS3 space-times with boundary conditions that allow for
black hole states has global asymptotic symmetries which include an infinite
dimensional conformal algebra. Using the conformal current algebra for
sigma-models on PSU(1,1|2), we explicitly construct the R-symmetry and Virasoro
charges in the worldsheet theory describing string theory on AdS3 X S3 with
Ramond-Ramond fluxes. We also indicate how to construct the full boundary
superconformal algebra. The boundary superconformal algebra plays an important
role in classifying the full spectrum of string theory on AdS3 with
Ramond-Ramond fluxes, and in the microscopic entropy counting in D1-D5 systems.
|
[
{
"created": "Tue, 7 Jul 2009 15:55:35 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Benichou",
"Raphael",
""
],
[
"Troost",
"Jan",
""
]
] |
String theory on AdS3 space-times with boundary conditions that allow for black hole states has global asymptotic symmetries which include an infinite dimensional conformal algebra. Using the conformal current algebra for sigma-models on PSU(1,1|2), we explicitly construct the R-symmetry and Virasoro charges in the worldsheet theory describing string theory on AdS3 X S3 with Ramond-Ramond fluxes. We also indicate how to construct the full boundary superconformal algebra. The boundary superconformal algebra plays an important role in classifying the full spectrum of string theory on AdS3 with Ramond-Ramond fluxes, and in the microscopic entropy counting in D1-D5 systems.
|
1812.01383
|
Martin Cederwall
|
Martin Cederwall, Jakob Palmkvist
|
$L_\infty$ algebras for extended geometry
|
8 pp., talk presented at Group32, Prague, July 2018
| null |
10.1088/1742-6596/1194/1/012021
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Extended geometry provides a unified framework for double geometry,
exceptional geometry, etc., i.e., for the geometrisations of the string theory
and M-theory dualities. In this talk, we will explain the structure of gauge
transformations (generalised diffeomorphisms) in these models. They are
generically infinitely reducible, and arise as derived brackets from an
underlying Borcherds superalgebra or tensor hierarchy algebra. The infinite
reducibility gives rise to an $L_\infty$ structure, the brackets of which have
universal expressions in terms of the underlying superalgebra.
|
[
{
"created": "Tue, 4 Dec 2018 12:44:20 GMT",
"version": "v1"
}
] |
2019-05-22
|
[
[
"Cederwall",
"Martin",
""
],
[
"Palmkvist",
"Jakob",
""
]
] |
Extended geometry provides a unified framework for double geometry, exceptional geometry, etc., i.e., for the geometrisations of the string theory and M-theory dualities. In this talk, we will explain the structure of gauge transformations (generalised diffeomorphisms) in these models. They are generically infinitely reducible, and arise as derived brackets from an underlying Borcherds superalgebra or tensor hierarchy algebra. The infinite reducibility gives rise to an $L_\infty$ structure, the brackets of which have universal expressions in terms of the underlying superalgebra.
|
2309.05734
|
Christiana Pantelidou
|
Christiana Pantelidou and Benjamin Withers
|
Black hole excited states from broken translations in Euclidean time
|
22 pages, 12 figures V2: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prepare an excited finite temperature state in ${\cal N}=4$ SYM by means
of a Euclidean path integral with a relevant deformation. The deformation
explicitly breaks imaginary-time translations along the thermal circle whilst
preserving its periodicity. We then study how the state relaxes to thermal
equilibrium in real time. Computations are performed using real-time AdS/CFT,
by constructing novel mixed-signature black holes in numerical relativity
corresponding to Schwinger-Keldysh boundary conditions. These correspond to
deformed cigar geometries in the Euclidean, glued to a pair of dynamical
spacetimes in the Lorentzian.
The maximal extension of the Lorentzian black hole exhibits a `causal
shadow', a bulk region which is spacelike separated from both boundaries. We
show that causal shadows are generic in path-integral prepared states where
imaginary-time translations along the thermal circle are broken.
|
[
{
"created": "Mon, 11 Sep 2023 18:02:52 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2023 07:06:32 GMT",
"version": "v2"
}
] |
2023-10-26
|
[
[
"Pantelidou",
"Christiana",
""
],
[
"Withers",
"Benjamin",
""
]
] |
We prepare an excited finite temperature state in ${\cal N}=4$ SYM by means of a Euclidean path integral with a relevant deformation. The deformation explicitly breaks imaginary-time translations along the thermal circle whilst preserving its periodicity. We then study how the state relaxes to thermal equilibrium in real time. Computations are performed using real-time AdS/CFT, by constructing novel mixed-signature black holes in numerical relativity corresponding to Schwinger-Keldysh boundary conditions. These correspond to deformed cigar geometries in the Euclidean, glued to a pair of dynamical spacetimes in the Lorentzian. The maximal extension of the Lorentzian black hole exhibits a `causal shadow', a bulk region which is spacelike separated from both boundaries. We show that causal shadows are generic in path-integral prepared states where imaginary-time translations along the thermal circle are broken.
|
hep-th/0304201
|
Yunseok Seo
|
Soonkeon Nam, Heeyong Park, Yunseok Seo
|
Casimir Effect in $\kappa$-deformed Theory
|
LaTeX file, 9 pages, no figure
|
J.Korean Phys.Soc.42:467-470,2003
| null | null |
hep-th
| null |
Quantum mechanical fluctuations in an interval give rise to the Casimir
effect, which destabilizes the size of the interval. This can be problematic in
constructing Kaluza-Klein theories. We consider the possibility that a
breakdown of the Poincar\'e symmetry in an extra dimension can solve this
instability problem. As a specific example, we consider the space-time with a
$\kappa$-deformed Poincar\'e algebra, calculate the Casimir force between two
plates, and find that we can have an interval with a stable size.
|
[
{
"created": "Thu, 24 Apr 2003 04:42:32 GMT",
"version": "v1"
}
] |
2010-02-05
|
[
[
"Nam",
"Soonkeon",
""
],
[
"Park",
"Heeyong",
""
],
[
"Seo",
"Yunseok",
""
]
] |
Quantum mechanical fluctuations in an interval give rise to the Casimir effect, which destabilizes the size of the interval. This can be problematic in constructing Kaluza-Klein theories. We consider the possibility that a breakdown of the Poincar\'e symmetry in an extra dimension can solve this instability problem. As a specific example, we consider the space-time with a $\kappa$-deformed Poincar\'e algebra, calculate the Casimir force between two plates, and find that we can have an interval with a stable size.
|
hep-th/9609072
| null |
Alan Chodos and Andras Kaiser
|
Zeta function regularization in de Sitter space: the Minkowski limit
|
TeX, 14 pages, a reference added
|
J.Math.Phys. 38 (1997) 4771-4782
|
10.1063/1.532122
|
YCTP-P19-96
|
hep-th
| null |
We study an integral representation for the zeta function of the one-loop
effective potential for a minimally coupled massive scalar field in
D-dimensional de Sitter spacetime. By deforming the contour of integration we
present it in a form suitable for letting the de Sitter radius tend to
infinity, and we demonstrate explicitly for the case D=2 that the quantities
$\zeta( 0 )$ and $\zeta'( 0 )$ have the appropriate Minkowski limits.
|
[
{
"created": "Mon, 9 Sep 1996 16:10:00 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 1996 16:32:00 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Chodos",
"Alan",
""
],
[
"Kaiser",
"Andras",
""
]
] |
We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form suitable for letting the de Sitter radius tend to infinity, and we demonstrate explicitly for the case D=2 that the quantities $\zeta( 0 )$ and $\zeta'( 0 )$ have the appropriate Minkowski limits.
|
0908.2075
|
Anthony Hartin
|
Anthony Hartin
|
On the equivalence of semi-classical methods for QED in intense external
fields
|
8 pages, 4 figures, paper for Advanced QED Methods for future
accelerators Workshop. v2: added Acknowledgements. v3: fixed equations 8 and
9. v4: fixed 3 typos
|
J.Phys.Conf.Ser.198:012004,2009
|
10.1088/1742-6596/198/1/012004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the semi-classical method of Nikishov-Ritus (NR), the derivation of the
transition rate of the beamstrahlung process is reviewed. This method uses the
Bound Interaction Picture and the exact solutions of the Dirac equation in the
external field potential. For future linear colliders, the nominal machine
parameters are such that this external field can be considered to be a constant
crossed electromagnetic field. The Dirac equation solutions can be Fourier
transformed such that they are functions of Dirac gamma matrices, Airy
functions and the usual non-external field solution. The resultant analytic
form for the transition rate is the same as that obtained by the Quasiclassical
Operator (QO) method of Baier-Katkov which sets a limit of ultra-relativistic
electron and vanishingly small radiation angle. The NR calculation however also
exhibits a pole in the radiation angle for back-radiated photons. The removal
of this pole requires a further study of IR divergences within the Bound
Interaction Picture.
|
[
{
"created": "Fri, 14 Aug 2009 14:32:28 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2009 14:27:28 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2009 19:38:38 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Mar 2012 16:26:07 GMT",
"version": "v4"
}
] |
2012-03-13
|
[
[
"Hartin",
"Anthony",
""
]
] |
Using the semi-classical method of Nikishov-Ritus (NR), the derivation of the transition rate of the beamstrahlung process is reviewed. This method uses the Bound Interaction Picture and the exact solutions of the Dirac equation in the external field potential. For future linear colliders, the nominal machine parameters are such that this external field can be considered to be a constant crossed electromagnetic field. The Dirac equation solutions can be Fourier transformed such that they are functions of Dirac gamma matrices, Airy functions and the usual non-external field solution. The resultant analytic form for the transition rate is the same as that obtained by the Quasiclassical Operator (QO) method of Baier-Katkov which sets a limit of ultra-relativistic electron and vanishingly small radiation angle. The NR calculation however also exhibits a pole in the radiation angle for back-radiated photons. The removal of this pole requires a further study of IR divergences within the Bound Interaction Picture.
|
1903.08881
|
Chiang-Mei Chen
|
Chiang-Mei Chen, Sang Pyo Kim, Jia-Rui Sun
|
Charge Emission from Near-Extremal Charged Black Holes
|
9 pages, contribution to the proceedings of 15th Marcel Grossmann
Meeting (MG15)
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the symmetry of the near-horizon geometry and applying quantum field
theory of a complex scalar field, we study the spontaneous pair production of
charged scalars from near-extremal rotating, electrically and/or magnetically
charged black holes. Analytical expressions for pair production, vacuum
persistence and absorption cross section are found, and the spectral
distribution is given a thermal interpretation. The pair production in
near-extremal black holes has a factorization into the Schwinger effect in AdS
and Schwinger effect in Rindler space, measuring the deviational from
extremality. The associated holographical correspondence is confirmed at the
2-point function level by comparing the absorption cross section ratio as well
as the pair production rate both from the gravity and the conformal field
theories. The production of monopoles is discussed.
|
[
{
"created": "Thu, 21 Mar 2019 08:57:36 GMT",
"version": "v1"
}
] |
2019-03-22
|
[
[
"Chen",
"Chiang-Mei",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Sun",
"Jia-Rui",
""
]
] |
Using the symmetry of the near-horizon geometry and applying quantum field theory of a complex scalar field, we study the spontaneous pair production of charged scalars from near-extremal rotating, electrically and/or magnetically charged black holes. Analytical expressions for pair production, vacuum persistence and absorption cross section are found, and the spectral distribution is given a thermal interpretation. The pair production in near-extremal black holes has a factorization into the Schwinger effect in AdS and Schwinger effect in Rindler space, measuring the deviational from extremality. The associated holographical correspondence is confirmed at the 2-point function level by comparing the absorption cross section ratio as well as the pair production rate both from the gravity and the conformal field theories. The production of monopoles is discussed.
|
hep-th/0110247
|
Eric D'Hoker
|
Eric D'Hoker, D.H. Phong
|
Two-Loop Superstrings I, Main Formulas
|
21 pages, no figures, references added, minor typos corrected
|
Phys.Lett.B529:241-255,2002
|
10.1016/S0370-2693(02)01255-8
|
UCLA/01/TEP/24, Columbia/Math/01
|
hep-th math.CV
| null |
An unambiguous and slice-independent formula for the two-loop superstring
measure on moduli space for even spin structure is constructed from first
principles. The construction uses the super-period matrix as moduli invariant
under worldsheet supersymmetry. This produces new subtle contributions to the
gauge-fixing process, which eliminate all the ambiguities plaguing earlier
gauge-fixed formulas.
The superstring measure can be computed explicitly and a simple expression in
terms of modular forms is obtained. For fixed spin structure, the measure
exhibits the expected behavior under degenerations of the surface. The measure
allows for a unique modular covariant GSO projection. Under this GSO
projection, the cosmological constant, the 1-, 2- and 3- point functions of
massless supergravitons all vanish pointwise on moduli space without the
appearance of boundary terms. A certain disconnected part of the 4-point
function is shown to be given by a convergent, finite integral on moduli space.
A general slice-independent formula is given for the two-loop cosmological
constant in compactifications with central charge c=15 and N=1 worldsheet
supersymmetry in terms of the data of the compactification conformal field
theory.
In this paper, a summary of the above results is presented with detailed
constructions, derivations and proofs to be provided in a series of subsequent
publications.
|
[
{
"created": "Fri, 26 Oct 2001 18:18:43 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Dec 2001 19:43:53 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] |
An unambiguous and slice-independent formula for the two-loop superstring measure on moduli space for even spin structure is constructed from first principles. The construction uses the super-period matrix as moduli invariant under worldsheet supersymmetry. This produces new subtle contributions to the gauge-fixing process, which eliminate all the ambiguities plaguing earlier gauge-fixed formulas. The superstring measure can be computed explicitly and a simple expression in terms of modular forms is obtained. For fixed spin structure, the measure exhibits the expected behavior under degenerations of the surface. The measure allows for a unique modular covariant GSO projection. Under this GSO projection, the cosmological constant, the 1-, 2- and 3- point functions of massless supergravitons all vanish pointwise on moduli space without the appearance of boundary terms. A certain disconnected part of the 4-point function is shown to be given by a convergent, finite integral on moduli space. A general slice-independent formula is given for the two-loop cosmological constant in compactifications with central charge c=15 and N=1 worldsheet supersymmetry in terms of the data of the compactification conformal field theory. In this paper, a summary of the above results is presented with detailed constructions, derivations and proofs to be provided in a series of subsequent publications.
|
2301.07112
|
Justin Kaidi
|
Justin Kaidi, Emily Nardoni, Gabi Zafrir, Yunqin Zheng
|
Symmetry TFTs and Anomalies of Non-Invertible Symmetries
|
31+19 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
It is known that the 't Hooft anomalies of invertible global symmetries can
be characterized by an invertible TQFT in one higher dimension. The analogous
statement remains to be understood for non-invertible symmetries. In this note
we discuss how the linking invariants in a non-invertible TQFT known as the
Symmetry TFT (SymTFT) can be used as a diagnostic for 't Hooft anomalies of
non-invertible symmetries. When the non-invertible symmetry is
non-intrinsically non-invertible, and hence the SymTFT is a Dijkgraaf-Witten
model, the linking invariants can be computed explicitly. We illustrate this
proposal through the examples of the abelian Higgs model in 2d, as well as
adjoint QCD and $\mathcal{N}=4$ super Yang-Mills in 4d. We also comment on how
the 't Hooft anomalies of non-invertible symmetries impose new constraints on
the dynamics.
|
[
{
"created": "Tue, 17 Jan 2023 19:00:01 GMT",
"version": "v1"
}
] |
2023-01-19
|
[
[
"Kaidi",
"Justin",
""
],
[
"Nardoni",
"Emily",
""
],
[
"Zafrir",
"Gabi",
""
],
[
"Zheng",
"Yunqin",
""
]
] |
It is known that the 't Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be understood for non-invertible symmetries. In this note we discuss how the linking invariants in a non-invertible TQFT known as the Symmetry TFT (SymTFT) can be used as a diagnostic for 't Hooft anomalies of non-invertible symmetries. When the non-invertible symmetry is non-intrinsically non-invertible, and hence the SymTFT is a Dijkgraaf-Witten model, the linking invariants can be computed explicitly. We illustrate this proposal through the examples of the abelian Higgs model in 2d, as well as adjoint QCD and $\mathcal{N}=4$ super Yang-Mills in 4d. We also comment on how the 't Hooft anomalies of non-invertible symmetries impose new constraints on the dynamics.
|
2008.04920
|
Kays Haddad
|
Kays Haddad, Andreas Helset
|
Tidal effects in quantum field theory
|
13 pages + appendices, 1 figure. v2: corrected typo in EM amplitude
| null |
10.1007/JHEP12(2020)024
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the Hilbert series to extend the gravitational action for a scalar
field to a complete, non-redundant basis of higher-dimensional operators that
is quadratic in the scalars and the Weyl tensor. Such an extension of the
action fully describes tidal effects arising from operators involving two
powers of the curvature. As an application of this new action, we compute all
spinless tidal effects at the leading post-Minkowskian order. This computation
is greatly simplified by appealing to the heavy limit, where only a severely
constrained set of operators can contribute classically at the one-loop level.
Finally, we use this amplitude to derive the $\mathcal{O}(G^{2})$ tidal
corrections to the Hamiltonian and the scattering angle.
|
[
{
"created": "Tue, 11 Aug 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 2020 00:22:43 GMT",
"version": "v2"
}
] |
2020-12-30
|
[
[
"Haddad",
"Kays",
""
],
[
"Helset",
"Andreas",
""
]
] |
We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully describes tidal effects arising from operators involving two powers of the curvature. As an application of this new action, we compute all spinless tidal effects at the leading post-Minkowskian order. This computation is greatly simplified by appealing to the heavy limit, where only a severely constrained set of operators can contribute classically at the one-loop level. Finally, we use this amplitude to derive the $\mathcal{O}(G^{2})$ tidal corrections to the Hamiltonian and the scattering angle.
|
2407.08805
|
Pawe{\l} Matus
|
Pawe{\l} Matus, Rajesh Biswas, Piotr Sur\'owka, Francisco
Pe\~na-Ben\'itez
|
Non-relativistic transport from frame-indifferent kinetic theory
|
27 pages
| null | null | null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper explores the application of Newton-Cartan geometry to the kinetic
theory of gases that includes non-relativistic gravitational effects and the
principle of general covariance. Starting with an introduction to the basics of
Newton-Cartan geometry, we examine the motion of point particles within this
framework, leading to a detailed analysis of kinetic theory and the derivation
of conservation equations. The equilibrium distribution function is explored,
and the example of a rotating gas in a gravitational field is discussed.
Further, we develop covariant hydrodynamic equations and extend our analysis
through a gradient expansion approach to assess first-order constitutive
relations for rotating gases. Finally, we address the frame-dependence paradox,
presenting a novel resolution that addresses apparent discrepancies. Our
construction resolves a fifty-year-old debate about the frame-indifferent
formulation of kinetic theory. The resolution is presented in a modern,
symmetry-based approach.
|
[
{
"created": "Thu, 11 Jul 2024 18:29:09 GMT",
"version": "v1"
}
] |
2024-07-15
|
[
[
"Matus",
"Paweł",
""
],
[
"Biswas",
"Rajesh",
""
],
[
"Surówka",
"Piotr",
""
],
[
"Peña-Benítez",
"Francisco",
""
]
] |
This paper explores the application of Newton-Cartan geometry to the kinetic theory of gases that includes non-relativistic gravitational effects and the principle of general covariance. Starting with an introduction to the basics of Newton-Cartan geometry, we examine the motion of point particles within this framework, leading to a detailed analysis of kinetic theory and the derivation of conservation equations. The equilibrium distribution function is explored, and the example of a rotating gas in a gravitational field is discussed. Further, we develop covariant hydrodynamic equations and extend our analysis through a gradient expansion approach to assess first-order constitutive relations for rotating gases. Finally, we address the frame-dependence paradox, presenting a novel resolution that addresses apparent discrepancies. Our construction resolves a fifty-year-old debate about the frame-indifferent formulation of kinetic theory. The resolution is presented in a modern, symmetry-based approach.
|
hep-th/9905153
|
Bert Janssen
|
Bert Janssen, Sudipta Mukherji
|
Kaluza-Klein dipoles, brane/anti-brane pairs and instabilities
|
13 pages, 1 figure, major changes w.r.t. previous version, new
section added
| null | null |
IFT-UAM/CSIC-99-20
|
hep-th
| null |
We review the method of constructing dipole and string loop solutions from
the higher-dimensional (Euclidean) Kerr black hole. We analyse the results in
various dimensions, finding solutions earlier given in the literature. Then we
construct a new heterotic dipole with non-trivial dilaton and gauge fields.
This can, in turn, be describes as a brane/anti-brane pair which interpolates
between the KK-dipole and the H-dipole. Finally an argument is presented on the
tachyonic instability by analysing the string fluctuations on the dipole
background.
|
[
{
"created": "Fri, 21 May 1999 14:18:58 GMT",
"version": "v1"
},
{
"created": "Thu, 27 May 1999 11:19:24 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jun 1999 10:58:22 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Janssen",
"Bert",
""
],
[
"Mukherji",
"Sudipta",
""
]
] |
We review the method of constructing dipole and string loop solutions from the higher-dimensional (Euclidean) Kerr black hole. We analyse the results in various dimensions, finding solutions earlier given in the literature. Then we construct a new heterotic dipole with non-trivial dilaton and gauge fields. This can, in turn, be describes as a brane/anti-brane pair which interpolates between the KK-dipole and the H-dipole. Finally an argument is presented on the tachyonic instability by analysing the string fluctuations on the dipole background.
|
hep-th/9512003
|
Roger Brooks
|
Roger Brooks
|
The Physics Inside Topological Quantum Field Theories
|
LaTeX, 7 pages
|
Class.Quant.Grav.14:L87-L91,1997
|
10.1088/0264-9381/14/5/003
|
SU-ITP-95-28, MIT-CTP-2491
|
hep-th
| null |
We show that the equations of motion defined over a specific field space are
realizable as operator conditions in the physical sector of a generalized Floer
theory defined over that field space. The ghosts associated with such a
construction are found not to be dynamical. This construction is applied to
gravity on a four dimensional manifold, $M$; whereupon, we obtain Einstein's
equations via surgery, along $M$, in a five-dimensional topological quantum
field theory.
|
[
{
"created": "Fri, 1 Dec 1995 18:29:21 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Brooks",
"Roger",
""
]
] |
We show that the equations of motion defined over a specific field space are realizable as operator conditions in the physical sector of a generalized Floer theory defined over that field space. The ghosts associated with such a construction are found not to be dynamical. This construction is applied to gravity on a four dimensional manifold, $M$; whereupon, we obtain Einstein's equations via surgery, along $M$, in a five-dimensional topological quantum field theory.
|
hep-th/0412143
|
Gerd Rudolph
|
P.D.Jarvis, J.Kijowski and G.Rudolph
|
On the Structure of the Observable Algebra of QCD on the Lattice
|
33 pages
|
J.Phys.A38:5359-5377,2005
|
10.1088/0305-4470/38/23/020
| null |
hep-th
| null |
The structure of the observable algebra ${\mathfrak O}_{\Lambda}$ of lattice
QCD in the Hamiltonian approach is investigated. As was shown earlier,
${\mathfrak O}_{\Lambda}$ is isomorphic to the tensor product of a gluonic
$C^{*}$-subalgebra, built from gauge fields and a hadronic subalgebra
constructed from gauge invariant combinations of quark fields. The gluonic
component is isomorphic to a standard CCR algebra over the group manifold
SU(3). The structure of the hadronic part, as presented in terms of a number of
generators and relations, is studied in detail. It is shown that its
irreducible representations are classified by triality. Using this, it is
proved that the hadronic algebra is isomorphic to the commutant of the triality
operator in the enveloping algebra of the Lie super algebra ${\rm sl(1/n)}$
(factorized by a certain ideal).
|
[
{
"created": "Tue, 14 Dec 2004 11:34:51 GMT",
"version": "v1"
}
] |
2009-11-05
|
[
[
"Jarvis",
"P. D.",
""
],
[
"Kijowski",
"J.",
""
],
[
"Rudolph",
"G.",
""
]
] |
The structure of the observable algebra ${\mathfrak O}_{\Lambda}$ of lattice QCD in the Hamiltonian approach is investigated. As was shown earlier, ${\mathfrak O}_{\Lambda}$ is isomorphic to the tensor product of a gluonic $C^{*}$-subalgebra, built from gauge fields and a hadronic subalgebra constructed from gauge invariant combinations of quark fields. The gluonic component is isomorphic to a standard CCR algebra over the group manifold SU(3). The structure of the hadronic part, as presented in terms of a number of generators and relations, is studied in detail. It is shown that its irreducible representations are classified by triality. Using this, it is proved that the hadronic algebra is isomorphic to the commutant of the triality operator in the enveloping algebra of the Lie super algebra ${\rm sl(1/n)}$ (factorized by a certain ideal).
|
1109.1036
|
Hugo Garcia-Compean
|
Hugo Garcia-Compean, Francisco J. Turrubiates
|
Ground-state Wigner functional of linearized gravitational field
|
18 pages, no figures
| null |
10.1142/S0217751X11054899
|
Cinvestav-fis/79-2011
|
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The deformation quantization formalism is applied to the linearized
gravitational field. Standard aspects of this formalism are worked out before
the ground state Wigner functional is obtained. Finally, the propagator for the
graviton is also discussed within the context of this formalism.
|
[
{
"created": "Tue, 6 Sep 2011 01:11:07 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Garcia-Compean",
"Hugo",
""
],
[
"Turrubiates",
"Francisco J.",
""
]
] |
The deformation quantization formalism is applied to the linearized gravitational field. Standard aspects of this formalism are worked out before the ground state Wigner functional is obtained. Finally, the propagator for the graviton is also discussed within the context of this formalism.
|
hep-th/9702088
|
Leith Cooper
|
Leith Cooper, Ian I. Kogan and Richard J. Szabo
|
Dynamical Description of Spectral Flow in N=2 Superconformal Field
Theories
|
20 pages, LaTeX, no figures
|
Nucl.Phys.B498:492-510,1997
|
10.1016/S0550-3213(97)00291-5
|
OUTP-97-08P
|
hep-th
| null |
We show how the spectral flow between the Neveu-Schwarz and Ramond sectors of
N=2 superconformal field theories can be described in three dimensions in terms
of the propagation of charged particles coupled to a a Chern-Simons gauge
theory. Quantum mechanical mixing between the degenerate Chern-Simons vacua
interpolates between the different boundary conditions of the two sectors and
so provides a dynamical picture for the GSO-projection.
|
[
{
"created": "Tue, 11 Feb 1997 12:21:06 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Cooper",
"Leith",
""
],
[
"Kogan",
"Ian I.",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We show how the spectral flow between the Neveu-Schwarz and Ramond sectors of N=2 superconformal field theories can be described in three dimensions in terms of the propagation of charged particles coupled to a a Chern-Simons gauge theory. Quantum mechanical mixing between the degenerate Chern-Simons vacua interpolates between the different boundary conditions of the two sectors and so provides a dynamical picture for the GSO-projection.
|
1312.2280
|
Steven Duplij
|
Steven Duplij, Gerald A. Goldin and Vladimir Shtelen
|
Conformal inversion and Maxwell field invariants in four- and
six-dimensional spacetimes
|
10 pages, birkjour.cls, submitted for the Proceedings of the XXXIInd
Workshop on Geometric Methods in Physics, (Bialowieza, Poland, July 2013),
v2: minor improvements
|
Geometric Methods in Physics, Proceedings XXXII Workshop
(Bialowieza, 2013), Trends in Mathematics 2014 (Springer), pp. 233-242
|
10.1007/978-3-319-06248-8_20
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformally compactified (3+1)-dimensional Minkowski spacetime may be
identified with the projective light cone in (4+2)-dimensional spacetime. In
the latter spacetime the special conformal group acts via rotations and boosts,
and conformal inversion acts via reflection in a single coordinate.
Hexaspherical coordinates facilitate dimensional reduction of Maxwell
electromagnetic field strength tensors to (3+1) from (4 + 2) dimensions. Here
we focus on the operation of conformal inversion in different
coordinatizations, and write some useful equations. We then write a conformal
invariant and a pseudo-invariant in terms of field strengths; the
pseudo-invariant in (4+2) dimensions takes a new form. Our results advance the
study of general nonlinear conformal-invariant electrodynamics based on
nonlinear constitutive equations.
|
[
{
"created": "Sun, 8 Dec 2013 23:28:06 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2014 19:35:48 GMT",
"version": "v2"
}
] |
2017-01-05
|
[
[
"Duplij",
"Steven",
""
],
[
"Goldin",
"Gerald A.",
""
],
[
"Shtelen",
"Vladimir",
""
]
] |
Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal inversion acts via reflection in a single coordinate. Hexaspherical coordinates facilitate dimensional reduction of Maxwell electromagnetic field strength tensors to (3+1) from (4 + 2) dimensions. Here we focus on the operation of conformal inversion in different coordinatizations, and write some useful equations. We then write a conformal invariant and a pseudo-invariant in terms of field strengths; the pseudo-invariant in (4+2) dimensions takes a new form. Our results advance the study of general nonlinear conformal-invariant electrodynamics based on nonlinear constitutive equations.
|
1212.5044
|
Euro Spallucci
|
Anais Smailagic, Euro Spallucci
|
Thermodynamical phases of a regular SAdS black hole
|
12 pages; 6 Figures; accepted for publication in Int. J. Mod. Phys. D
| null |
10.1142/S0218271813500107
| null |
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies the thermodynamical stability of regular BHs in AdS5
background. We investigate off-shell free energy of the system as a function of
temperature for different values of a "coupling constant" L=4 theta/l^2, where
the cosmological constant is Lambda = -3/l^2 and \sqrt{theta} is a "minimal
length". The parameter L admits a critical value, L_{inf}=0.2, corresponding to
the appearance of an inflexion point in the Hawking temperature. In the
weak-coupling regime L < L_{inf}, there are first order phase transitions at
different temperatures. Unlike the Hawking-Page case, at temperature 0\le T \le
T_{min} the ground state is populated by "cold" near-extremal BHs instead of a
pure radiation. On the other hand, for L \g L_{inf} only large,
thermodynamically stable, BHs exist.
|
[
{
"created": "Thu, 20 Dec 2012 14:15:59 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Smailagic",
"Anais",
""
],
[
"Spallucci",
"Euro",
""
]
] |
This paper studies the thermodynamical stability of regular BHs in AdS5 background. We investigate off-shell free energy of the system as a function of temperature for different values of a "coupling constant" L=4 theta/l^2, where the cosmological constant is Lambda = -3/l^2 and \sqrt{theta} is a "minimal length". The parameter L admits a critical value, L_{inf}=0.2, corresponding to the appearance of an inflexion point in the Hawking temperature. In the weak-coupling regime L < L_{inf}, there are first order phase transitions at different temperatures. Unlike the Hawking-Page case, at temperature 0\le T \le T_{min} the ground state is populated by "cold" near-extremal BHs instead of a pure radiation. On the other hand, for L \g L_{inf} only large, thermodynamically stable, BHs exist.
|
1303.5282
|
Sunandan Gangopadhyay
|
Sunandan Gangopadhyay
|
Voros product and noncommutative inspired black holes
|
To appear in Mod. Phys. Lett. A. This paper is an expanded version of
earlier works. Some new results have also been added
|
Mod. Phys. Lett. A 28 (2013) 1350030
|
10.1142/S0217732313500302
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We emphasize the importance of the Voros product in defining noncommutative
inspired black holes. The computation of entropy for both the noncommutative
inspired Schwarzschild and Reissner-Nordstr\"{o}m black holes show that the
area law holds upto order $\frac{1}{\sqrt{\theta}}e^{-M^2/\theta}$. The leading
correction to the entropy (computed in the tunneling formalism) is shown to be
logarithmic. The Komar energy $E$ for these black holes is then obtained and a
deviation from the standard identity $E=2ST_H$ is found at the order
$\sqrt{\theta}e^{-M^2/\theta}$. This deviation leads to a nonvanishing Komar
energy at the extremal point $T_{H}=0$ of these black holes. The Smarr formula
is finally worked out for the noncommutative Schwarzschild black hole. Similar
features also exist for a deSitter--Schwarzschild geometry.
|
[
{
"created": "Thu, 21 Mar 2013 15:05:22 GMT",
"version": "v1"
}
] |
2013-03-26
|
[
[
"Gangopadhyay",
"Sunandan",
""
]
] |
We emphasize the importance of the Voros product in defining noncommutative inspired black holes. The computation of entropy for both the noncommutative inspired Schwarzschild and Reissner-Nordstr\"{o}m black holes show that the area law holds upto order $\frac{1}{\sqrt{\theta}}e^{-M^2/\theta}$. The leading correction to the entropy (computed in the tunneling formalism) is shown to be logarithmic. The Komar energy $E$ for these black holes is then obtained and a deviation from the standard identity $E=2ST_H$ is found at the order $\sqrt{\theta}e^{-M^2/\theta}$. This deviation leads to a nonvanishing Komar energy at the extremal point $T_{H}=0$ of these black holes. The Smarr formula is finally worked out for the noncommutative Schwarzschild black hole. Similar features also exist for a deSitter--Schwarzschild geometry.
|
1102.4624
|
Daniel Litim
|
Daniel F. Litim
|
Renormalisation group and the Planck scale
|
14 pages, 6 figures, to appear in the Philosophical Transactions A of
the Royal Society, London
|
Phil. Trans. R. Soc. A 369 (2011) 2759-2778
|
10.1098/rsta.2011.0103
|
INT-PUB-11-004
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I discuss the renormalisation group approach to gravity, its link to Steven
Weinberg's asymptotic safety scenario, and give an overview of results with
applications to particle physics and cosmology.
|
[
{
"created": "Tue, 22 Feb 2011 21:15:17 GMT",
"version": "v1"
}
] |
2011-09-19
|
[
[
"Litim",
"Daniel F.",
""
]
] |
I discuss the renormalisation group approach to gravity, its link to Steven Weinberg's asymptotic safety scenario, and give an overview of results with applications to particle physics and cosmology.
|
hep-th/0402011
|
Dorje C. Brody
|
Carl M. Bender, Dorje C. Brody, and Hugh F. Jones
|
Scalar Quantum Field Theory with Cubic Interaction
|
Corrected expressions in equations (20) and (21)
|
Phys.Rev.Lett. 93 (2004) 251601
|
10.1103/PhysRevLett.93.251601
| null |
hep-th
| null |
In this paper it is shown that an i phi^3 field theory is a physically
acceptable field theory model (the spectrum is positive and the theory is
unitary). The demonstration rests on the perturbative construction of a linear
operator C, which is needed to define the Hilbert space inner product. The C
operator is a new, time-independent observable in PT-symmetric quantum field
theory.
|
[
{
"created": "Mon, 2 Feb 2004 19:10:21 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 2004 13:49:06 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Feb 2004 17:45:47 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bender",
"Carl M.",
""
],
[
"Brody",
"Dorje C.",
""
],
[
"Jones",
"Hugh F.",
""
]
] |
In this paper it is shown that an i phi^3 field theory is a physically acceptable field theory model (the spectrum is positive and the theory is unitary). The demonstration rests on the perturbative construction of a linear operator C, which is needed to define the Hilbert space inner product. The C operator is a new, time-independent observable in PT-symmetric quantum field theory.
|
1205.0558
|
Dmitry I. Podolsky
|
Dmitry Podolsky, Eric Greenwood, Glenn Starkman
|
Quantum kinetics and prethermalization of Hawking radiation
|
26 pages, 5 figures
| null | null | null |
hep-th astro-ph.CO astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reinvestigate the emission of Hawking radiation during gravitational
collapse to a black hole. Both CGHS collapse of a shock wave in
(1+1)-dimensional dilaton gravity and Schwarzschild collapse of a spherically
symmetric thin shell in (3+1)-dimensional gravity are considered. Studying the
dynamics of in-vacuum polarization, we find that a multi-parametric family of
out-vacua exists. Initial conditions for the collapse lead dynamically to
different vacua from this family as the final state. Therefore, the form of the
out-vacuum encodes memory about the initial quantum state of the system. While
most out-vacua feature a non-thermal Hawking flux and are expected to decay
quickly, there also exists a thermal vacuum state. Collectively, these
observations suggest an interesting possible resolution of the information loss
paradox.
|
[
{
"created": "Wed, 2 May 2012 20:00:43 GMT",
"version": "v1"
}
] |
2012-05-04
|
[
[
"Podolsky",
"Dmitry",
""
],
[
"Greenwood",
"Eric",
""
],
[
"Starkman",
"Glenn",
""
]
] |
We reinvestigate the emission of Hawking radiation during gravitational collapse to a black hole. Both CGHS collapse of a shock wave in (1+1)-dimensional dilaton gravity and Schwarzschild collapse of a spherically symmetric thin shell in (3+1)-dimensional gravity are considered. Studying the dynamics of in-vacuum polarization, we find that a multi-parametric family of out-vacua exists. Initial conditions for the collapse lead dynamically to different vacua from this family as the final state. Therefore, the form of the out-vacuum encodes memory about the initial quantum state of the system. While most out-vacua feature a non-thermal Hawking flux and are expected to decay quickly, there also exists a thermal vacuum state. Collectively, these observations suggest an interesting possible resolution of the information loss paradox.
|
hep-th/9507004
|
Oleg Soloviev
|
Oleg A Soloviev
|
Interacting Wess-Zumino-Novikov-Witten Models
|
26 pages, LaTex file
|
Int.J.Mod.Phys. A11 (1996) 2591-2611
|
10.1142/S0217751X96001243
|
QMW-PH-95-26
|
hep-th
| null |
We study the system of two WZNW models coupled to each other via the
current-current interaction. The system is proven to possess the strong/weak
coupling duality symmetry. The strong coupling phase of this theory is
discussed in detail. It is shown that in this phase the interacting WZNW models
approach non-trivial conformal points along the renormalization group flow. The
relation between the principal chiral model and interacting WZNW models is
investigated.
|
[
{
"created": "Mon, 3 Jul 1995 11:01:59 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Soloviev",
"Oleg A",
""
]
] |
We study the system of two WZNW models coupled to each other via the current-current interaction. The system is proven to possess the strong/weak coupling duality symmetry. The strong coupling phase of this theory is discussed in detail. It is shown that in this phase the interacting WZNW models approach non-trivial conformal points along the renormalization group flow. The relation between the principal chiral model and interacting WZNW models is investigated.
|
hep-th/0104032
|
Matthew J. Strassler
|
M.J. Strassler (U.Pennsylvania)
|
On Methods for Extracting Exact Non-perturbative Results in
Non-supersymmetric Gauge Theories
|
17 pages, one figure (v2, sentence added to abstract)
| null | null |
UPR-934-T
|
hep-th hep-lat hep-ph
| null |
At large N, a field theory and its orbifolds (given by projecting out some of
its fields) share the same planar graphs. If the parent-orbifold relation
continues even nonperturbatively, then properties such as confinement and
chiral symmetry breaking will appear in both parent and orbifold. N=1
supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble
QCD. A nonperturbative parent-orbifold relation predicts many surprising
effects, exactly valid at large N, and expected to suffer only mild 1/N
corrections. These include degeneracies among bosonic hadrons and exact
predictions for domain wall tensions. Other predictions are valid even when
supersymmetry in the parent is broken. Since these theories are QCD-like,
simulation is possible, so these predictions may be numerically tested. The
method also relates wide classes of nonsupersymmetric theories.
|
[
{
"created": "Tue, 3 Apr 2001 20:47:34 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Apr 2001 17:12:09 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Strassler",
"M. J.",
"",
"U.Pennsylvania"
]
] |
At large N, a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs. If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold. N=1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD. A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections. These include degeneracies among bosonic hadrons and exact predictions for domain wall tensions. Other predictions are valid even when supersymmetry in the parent is broken. Since these theories are QCD-like, simulation is possible, so these predictions may be numerically tested. The method also relates wide classes of nonsupersymmetric theories.
|
hep-th/9906054
|
David Nolland
|
Paul Mansfield and David Nolland (Durham)
|
One-loop Conformal Anomalies From AdS/CFT in the Schrodinger
Representation
|
LaTeX, 28 pages, 3 figures, minor corrections, reference added
|
JHEP 9907 (1999) 028
|
10.1088/1126-6708/1999/07/028
|
DTP/99/41
|
hep-th
| null |
We compute the conformal anomalies of boundary CFTs for scalar and fermionic
fields propagating in AdS spacetime at one-loop. The coefficients are
quantized, with values related to the mass-spectra for Kaluza-Klein
compactifications of Supergravity on AdS5xS5 and AdS7xS4. Our approach
interprets the boundary partition function of fields propagating on AdS
spacetime in terms of wave-functionals that satisfy the functional Schrodinger
equation.
|
[
{
"created": "Mon, 7 Jun 1999 17:43:53 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jun 1999 15:23:13 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Mansfield",
"Paul",
"",
"Durham"
],
[
"Nolland",
"David",
"",
"Durham"
]
] |
We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of Supergravity on AdS5xS5 and AdS7xS4. Our approach interprets the boundary partition function of fields propagating on AdS spacetime in terms of wave-functionals that satisfy the functional Schrodinger equation.
|
1603.00447
|
Masato Arai
|
Masato Arai, Filip Blaschke, Minoru Eto
|
BPS Boojums in N=2 supersymmetric gauge theories I
|
69 pages, 27 figures. Ver. 1 has been divided into two papers and
this paper is the first part of the division. The second part will soon
appear with the title "BPS Boojums in N=2 supersymmetric gauge theories II"
|
Prog Theor Exp Phys (2017)
|
10.1093/ptep/ptx005
|
YGHP-16-01-A
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of
vortex strings, domain walls and boojums in ${\cal N}=2$ supersymmetric Abelian
gauge theories in four dimensions. We obtain solutions to the 1/4 BPS equations
with the finite gauge coupling constant. To obtain numerical solutions for
generic coupling constants, we construct globally correct approximate functions
which allow us to easily find fixed points of gradient flow equations. We
analytically/numerically confirm that the negative mass of a single boojum
appearingat the endpoint of the vortex string on the logarithmically bent
domain wall is equal to the half-mass of the 't Hooft-Polyakov monopole. We
examine various configurations and clarify how the shape of the boojum depends
on the coupling constants and moduli parameters. We also find analytic
solutions to the 1/4 BPS equations for specific values of the coupling
constants.
|
[
{
"created": "Tue, 1 Mar 2016 20:32:21 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2016 00:47:35 GMT",
"version": "v2"
}
] |
2019-12-06
|
[
[
"Arai",
"Masato",
""
],
[
"Blaschke",
"Filip",
""
],
[
"Eto",
"Minoru",
""
]
] |
We study 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of vortex strings, domain walls and boojums in ${\cal N}=2$ supersymmetric Abelian gauge theories in four dimensions. We obtain solutions to the 1/4 BPS equations with the finite gauge coupling constant. To obtain numerical solutions for generic coupling constants, we construct globally correct approximate functions which allow us to easily find fixed points of gradient flow equations. We analytically/numerically confirm that the negative mass of a single boojum appearingat the endpoint of the vortex string on the logarithmically bent domain wall is equal to the half-mass of the 't Hooft-Polyakov monopole. We examine various configurations and clarify how the shape of the boojum depends on the coupling constants and moduli parameters. We also find analytic solutions to the 1/4 BPS equations for specific values of the coupling constants.
|
hep-th/0506195
|
Duiliu-Emanuel Diaconescu
|
Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev
|
Geometric Transitions and Mixed Hodge Structures
|
19 pages
| null | null | null |
hep-th
| null |
We formulate and prove a B-model disc level large N duality result for
general conifold transitions between compact Calabi-Yau spaces using
degenerations of Hodge structures.
|
[
{
"created": "Thu, 23 Jun 2005 15:23:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Diaconescu",
"Duiliu-Emanuel",
""
],
[
"Donagi",
"Ron",
""
],
[
"Pantev",
"Tony",
""
]
] |
We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.
|
2311.15844
|
Ning Su
|
Slava Rychkov, Ning Su
|
New Developments in the Numerical Conformal Bootstrap
|
49 pages, 11 figures. Details and references added, version to appear
in Rev.Mod.Phys
| null | null | null |
hep-th cond-mat.stat-mech
|
http://creativecommons.org/licenses/by/4.0/
|
The numerical conformal bootstrap has become in the last 15 years an
indispensable tool for studying strongly coupled CFTs in various dimensions.
Here we review the main developments in the field in the last 5 years, since
the appearance of the previous comprehensive review \cite{Poland:2018epd}. We
describe developments in the software ({\tt SDPB 2.0}, {\tt scalar\_blocks},
{\tt blocks\_3d}, {\tt autoboot}, {\tt hyperion}, {\tt simpleboot}), and on the
algorithmic side (Delauney triangulation, cutting surface, tiptop, navigator
function, skydive). We also describe the main physics applications which were
obtained using the new technology.
|
[
{
"created": "Mon, 27 Nov 2023 14:10:13 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2024 08:02:00 GMT",
"version": "v2"
}
] |
2024-07-31
|
[
[
"Rychkov",
"Slava",
""
],
[
"Su",
"Ning",
""
]
] |
The numerical conformal bootstrap has become in the last 15 years an indispensable tool for studying strongly coupled CFTs in various dimensions. Here we review the main developments in the field in the last 5 years, since the appearance of the previous comprehensive review \cite{Poland:2018epd}. We describe developments in the software ({\tt SDPB 2.0}, {\tt scalar\_blocks}, {\tt blocks\_3d}, {\tt autoboot}, {\tt hyperion}, {\tt simpleboot}), and on the algorithmic side (Delauney triangulation, cutting surface, tiptop, navigator function, skydive). We also describe the main physics applications which were obtained using the new technology.
|
1301.2789
|
Dmitri Gal'tsov
|
D.V. Gal'tsov
|
Transplanckian radiation in theories with extra dimensions
|
To be published in Proceedings of 10-th International Conference on
Gravitation, Astrophysics and Cosmology (ICGAC-10), December 17-22, 2011,
Quy-Nhon, Vietnam
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss whether the particles undergoing transplanckian collisions in
TeV-scale gravity can deplete all their energy on bremsstrahlung for the impact
parameters much larger than the gravitational radius of the presumably created
black hole.
|
[
{
"created": "Sun, 13 Jan 2013 16:31:58 GMT",
"version": "v1"
}
] |
2013-01-15
|
[
[
"Gal'tsov",
"D. V.",
""
]
] |
We discuss whether the particles undergoing transplanckian collisions in TeV-scale gravity can deplete all their energy on bremsstrahlung for the impact parameters much larger than the gravitational radius of the presumably created black hole.
|
1009.5846
|
David Dudal
|
D. Dudal, N. Vandersickel, L. Baulieu, S.P. Sorella, M.S. Guimaraes,
M.Q. Huber, O. Oliveira and D. Zwanziger
|
From unphysical gluon and ghost propagators to physical glueball
propagators (in the Gribov-Zwanziger picture): a not so trivial task?
|
10 pages, 3 .eps figures. Talk given by D. Dudal at Light Cone 2010:
Relativistic Hadronic and Particle Physics, June 14-18, 2010, Valencia, Spain
|
PoS LC2010:021,2010
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
During recent years, a good agreement was found between the analytical
derivation and the numerical simulation of the Landau gauge gluon and ghost
propagators. We mention the Schwinger-Dyson and Gribov-Zwanziger formalism for
the analytical work. Although the agreement between several approaches is nice,
these propagators do not correspond to the relevant physical degrees of
freedom. In the case of pure gauge theories, one should start to study the
glueball correlators. We shall try to explain why it looks like a hard
challenge to go from the unphysical to the physical propagators in the case of
the Gribov-Zwanziger theory (but similar conclusions might hold for other
approaches giving similar propagators).
|
[
{
"created": "Wed, 29 Sep 2010 11:29:53 GMT",
"version": "v1"
}
] |
2011-03-10
|
[
[
"Dudal",
"D.",
""
],
[
"Vandersickel",
"N.",
""
],
[
"Baulieu",
"L.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Huber",
"M. Q.",
""
],
[
"Oliveira",
"O.",
""
],
[
"Zwanziger",
"D.",
""
]
] |
During recent years, a good agreement was found between the analytical derivation and the numerical simulation of the Landau gauge gluon and ghost propagators. We mention the Schwinger-Dyson and Gribov-Zwanziger formalism for the analytical work. Although the agreement between several approaches is nice, these propagators do not correspond to the relevant physical degrees of freedom. In the case of pure gauge theories, one should start to study the glueball correlators. We shall try to explain why it looks like a hard challenge to go from the unphysical to the physical propagators in the case of the Gribov-Zwanziger theory (but similar conclusions might hold for other approaches giving similar propagators).
|
2103.12211
|
Yuji Tachikawa
|
Yuji Tachikawa
|
Topological modular forms and the absence of a heterotic global anomaly
|
1 title page + 7 pages + 2 pages of references
| null | null | null |
hep-th math.AT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spacetime theories obtained from perturbative string theory constructions are
automatically free of perturbative anomalies, but it is not settled whether
they are always free of global anomalies. Here we discuss a possible
$\mathbb{Z}_{24}$-valued pure gravitational anomaly of heterotic
compactifications down to two spacetime dimensions, and point out that it can
be shown to vanish using the theory of topological modular forms, assuming the
validity of the Stolz-Teichner conjecture.
|
[
{
"created": "Mon, 22 Mar 2021 22:39:25 GMT",
"version": "v1"
}
] |
2021-03-24
|
[
[
"Tachikawa",
"Yuji",
""
]
] |
Spacetime theories obtained from perturbative string theory constructions are automatically free of perturbative anomalies, but it is not settled whether they are always free of global anomalies. Here we discuss a possible $\mathbb{Z}_{24}$-valued pure gravitational anomaly of heterotic compactifications down to two spacetime dimensions, and point out that it can be shown to vanish using the theory of topological modular forms, assuming the validity of the Stolz-Teichner conjecture.
|
2301.02741
|
Samuel Laliberte
|
Matteo Blamart, Samuel Laliberte and Robert Brandenberger
|
TCC bounds on the static patch of de Sitter space
| null | null |
10.1007/JHEP05(2023)193
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, Pei-Ming Ho and Hikaru Kawai have argued that treating particles as
wave packets can lead to a shutdown of Hawking radiation after a scrambling
time in the case of Schwarzschild black holes. This shutdown arises from
viewing quantum field theory near the black hole horizon as an effective field
theory, and imposing an appropriate UV cutoff. We show that this effect is also
present in the static patch of de Sitter space, leading to a shutdown of
Gibbons-Hawking radiation at late times. Assuming this effect is due to the
breakdown of effective field theory, we obtain a bound $t \lesssim H^{-1} \ln
(H^{-1} M_P)$ on the time scale of validity of effective field theory in de
Sitter space, which matches with the predictions of the Trans-Planckian
Censorship Conjecture.
|
[
{
"created": "Fri, 6 Jan 2023 22:50:40 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2023 18:58:22 GMT",
"version": "v2"
},
{
"created": "Tue, 9 May 2023 16:41:09 GMT",
"version": "v3"
}
] |
2023-06-14
|
[
[
"Blamart",
"Matteo",
""
],
[
"Laliberte",
"Samuel",
""
],
[
"Brandenberger",
"Robert",
""
]
] |
Recently, Pei-Ming Ho and Hikaru Kawai have argued that treating particles as wave packets can lead to a shutdown of Hawking radiation after a scrambling time in the case of Schwarzschild black holes. This shutdown arises from viewing quantum field theory near the black hole horizon as an effective field theory, and imposing an appropriate UV cutoff. We show that this effect is also present in the static patch of de Sitter space, leading to a shutdown of Gibbons-Hawking radiation at late times. Assuming this effect is due to the breakdown of effective field theory, we obtain a bound $t \lesssim H^{-1} \ln (H^{-1} M_P)$ on the time scale of validity of effective field theory in de Sitter space, which matches with the predictions of the Trans-Planckian Censorship Conjecture.
|
hep-th/0505223
|
Hong Lu
|
M. Cvetic, H. Lu, Don N. Page and C.N. Pope
|
New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
|
latex, 26 pages
|
JHEP 0907:082,2009
|
10.1088/1126-6708/2009/07/082
|
MIFP-05-10, UPR-1117-T, Alberta Thy 07-05
|
hep-th
| null |
In this paper, which is an elaboration of our results in hep-th/0504225, we
construct new Einstein-Sasaki spaces L^{p,q,r_1,...,r_{n-1}} in all odd
dimensions D=2n+1\ge 5. They arise by taking certain BPS limits of the
Euclideanised Kerr-de Sitter metrics. This yields local Einstein-Sasaki metrics
of cohomogeneity n, with toric U(1)^{n+1} principal orbits, and n real
non-trivial parameters. By studying the structure of the degenerate orbits we
show that for appropriate choices of the parameters, characterised by the (n+1)
coprime integers (p,q,r_1,...,r_{n-1}), the local metrics extend smoothly onto
complete and non-singular compact Einstein-Sasaki manifolds
L^{p,q,r_1,...,r_{n-1}}. We also construct new complete and non-singular
compact Einstein spaces \Lambda^{p,q,r_1,...,r_n} in D=2n+1 that are not
Sasakian, by choosing parameters appropriately in the Euclideanised Kerr-de
Sitter metrics when no BPS limit is taken.
|
[
{
"created": "Tue, 24 May 2005 20:17:50 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Page",
"Don N.",
""
],
[
"Pope",
"C. N.",
""
]
] |
In this paper, which is an elaboration of our results in hep-th/0504225, we construct new Einstein-Sasaki spaces L^{p,q,r_1,...,r_{n-1}} in all odd dimensions D=2n+1\ge 5. They arise by taking certain BPS limits of the Euclideanised Kerr-de Sitter metrics. This yields local Einstein-Sasaki metrics of cohomogeneity n, with toric U(1)^{n+1} principal orbits, and n real non-trivial parameters. By studying the structure of the degenerate orbits we show that for appropriate choices of the parameters, characterised by the (n+1) coprime integers (p,q,r_1,...,r_{n-1}), the local metrics extend smoothly onto complete and non-singular compact Einstein-Sasaki manifolds L^{p,q,r_1,...,r_{n-1}}. We also construct new complete and non-singular compact Einstein spaces \Lambda^{p,q,r_1,...,r_n} in D=2n+1 that are not Sasakian, by choosing parameters appropriately in the Euclideanised Kerr-de Sitter metrics when no BPS limit is taken.
|
1905.11983
|
Xinan Zhou
|
Leonardo Rastelli, Konstantinos Roumpedakis, Xinan Zhou
|
$\mathbf{AdS_3\times S^3}$ Tree-Level Correlators: Hidden
Six-Dimensional Conformal Symmetry
|
29 pages
| null |
10.1007/JHEP10(2019)140
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the calculation of holographic correlators in $AdS_3$. We develop
new methods to evaluate exchange Witten diagrams, resolving some technical
difficulties that prevent a straightforward application of the methods used in
higher dimensions. We perform detailed calculations in the $AdS_3 \times S^3
\times K3$ background. We find strong evidence that four-point tree-level
correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal
symmetry. The correlators can all be packaged into a single generating
function, related to the 6d flat space superamplitude. This generalizes an
analogous structure found in $AdS_5 \times S^5$ supergravity.
|
[
{
"created": "Tue, 28 May 2019 17:59:59 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Rastelli",
"Leonardo",
""
],
[
"Roumpedakis",
"Konstantinos",
""
],
[
"Zhou",
"Xinan",
""
]
] |
We revisit the calculation of holographic correlators in $AdS_3$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the $AdS_3 \times S^3 \times K3$ background. We find strong evidence that four-point tree-level correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal symmetry. The correlators can all be packaged into a single generating function, related to the 6d flat space superamplitude. This generalizes an analogous structure found in $AdS_5 \times S^5$ supergravity.
|
hep-th/0007047
|
T. Schucker
|
Thomas Schucker (Marseille)
|
Spin group and almost commutative geometry
|
25 pages LaTeX, 1 figure, this paper will not be submitted to any
journal, in particular not to Nucl.Phys.B
| null | null |
CPT-00/P.4031
|
hep-th gr-qc
| null |
For Connes' spectral triples, the group of automorphisms lifted to the
Hilbert space is defined and used to fluctuate the metric. A few commutative
examples are presented including Chamseddine and Connes' spectral unification
of gravity and electromagnetism. One almost commutative example is treated: the
full standard model. Here the lifted automorphisms explain O'Raifeartaigh's
reduction $SU(2)\times U(3)/\zz_2.$
|
[
{
"created": "Thu, 6 Jul 2000 16:33:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schucker",
"Thomas",
"",
"Marseille"
]
] |
For Connes' spectral triples, the group of automorphisms lifted to the Hilbert space is defined and used to fluctuate the metric. A few commutative examples are presented including Chamseddine and Connes' spectral unification of gravity and electromagnetism. One almost commutative example is treated: the full standard model. Here the lifted automorphisms explain O'Raifeartaigh's reduction $SU(2)\times U(3)/\zz_2.$
|
hep-th/9502055
|
Antti Niemi
|
Antti J. Niemi
|
On the number of periodic classical trajectories in a Hamiltonian
dynamical system
|
Standard Latex - run twice
| null | null |
UU-ITP 01-1995, HU-TFT 95-04
|
hep-th
| null |
Periodic classical trajectories are of fundamental importance both in
classical and quantum physics. Here we develop path integral techniques to
investigate such trajectories in an arbitrary, not necessarily energy
conserving hamiltonian system. In particular, we present a simple derivation of
a lower bound for the number of periodic classical trajectories.
|
[
{
"created": "Wed, 8 Feb 1995 15:50:26 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Niemi",
"Antti J.",
""
]
] |
Periodic classical trajectories are of fundamental importance both in classical and quantum physics. Here we develop path integral techniques to investigate such trajectories in an arbitrary, not necessarily energy conserving hamiltonian system. In particular, we present a simple derivation of a lower bound for the number of periodic classical trajectories.
|
2109.13261
|
Ant\'onio Antunes
|
Ant\'onio Antunes, Miguel S. Costa, Jo\~ao Penedones, Aaditya
Salgarkar, Balt C. van Rees
|
Towards Bootstrapping RG flows: Sine-Gordon in AdS
|
62 pages, 22 figures, 1 menhir
| null |
10.1007/JHEP12(2021)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The boundary correlation functions for a Quantum Field Theory (QFT) in an
Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk
theory undergoes a renormalization group (RG) flow. Studying such correlation
functions with the numerical conformal bootstrap leads to non-perturbative
constraints that must hold along the entire flow. In this paper we carry out
this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free
(compact) scalar in the UV and end with well-known massive integrable theories
that saturate many S-matrix bootstrap bounds. We numerically analyze the
correlation functions of both breathers and kinks and provide a detailed
comparison with perturbation theory near the UV fixed point. Our bounds are
often saturated to one or two orders in perturbation theory, as well as in the
flat-space limit, but not necessarily in between.
|
[
{
"created": "Mon, 27 Sep 2021 18:00:04 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Antunes",
"António",
""
],
[
"Costa",
"Miguel S.",
""
],
[
"Penedones",
"João",
""
],
[
"Salgarkar",
"Aaditya",
""
],
[
"van Rees",
"Balt C.",
""
]
] |
The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We numerically analyze the correlation functions of both breathers and kinks and provide a detailed comparison with perturbation theory near the UV fixed point. Our bounds are often saturated to one or two orders in perturbation theory, as well as in the flat-space limit, but not necessarily in between.
|
2110.15166
|
Eugenia Colafranceschi
|
Goffredo Chirco, Eugenia Colafranceschi and Daniele Oriti
|
Bulk area law for boundary entanglement in spin network states: entropy
corrections and horizon-like regions from volume correlations
|
13 pages, 8 figures
| null |
10.1103/PhysRevD.105.046018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For quantum gravity states associated to open spin network graphs, we study
how the entanglement entropy of the boundary degrees of freedom (spins on open
edges) is affected by the bulk data, specifically by its combinatorial
structure and by the quantum correlations among intertwiner degrees of freedom.
For a specific assignment of bulk edge spins and slightly entangled
intertwiners, we recover the Ryu-Takayanagi formula (with a properly (discrete)
geometric notion of area, thanks to the underlying quantum gravity formalism)
and its corrections due to the entanglement entropy of the bulk state. We also
show that the presence of a region with highly entangled intertwiners deforms
the minimal-area surface, which is then prevented from entering that region
when the entanglement entropy of the latter exceeds a certain bound. This
entanglement-based mechanism leads thus to the formation of a black hole-like
region in the bulk.
|
[
{
"created": "Thu, 28 Oct 2021 14:41:16 GMT",
"version": "v1"
}
] |
2022-03-14
|
[
[
"Chirco",
"Goffredo",
""
],
[
"Colafranceschi",
"Eugenia",
""
],
[
"Oriti",
"Daniele",
""
]
] |
For quantum gravity states associated to open spin network graphs, we study how the entanglement entropy of the boundary degrees of freedom (spins on open edges) is affected by the bulk data, specifically by its combinatorial structure and by the quantum correlations among intertwiner degrees of freedom. For a specific assignment of bulk edge spins and slightly entangled intertwiners, we recover the Ryu-Takayanagi formula (with a properly (discrete) geometric notion of area, thanks to the underlying quantum gravity formalism) and its corrections due to the entanglement entropy of the bulk state. We also show that the presence of a region with highly entangled intertwiners deforms the minimal-area surface, which is then prevented from entering that region when the entanglement entropy of the latter exceeds a certain bound. This entanglement-based mechanism leads thus to the formation of a black hole-like region in the bulk.
|
hep-th/0304040
|
Antonino Flachi
|
A. Flachi and O. Pujolas
|
Quantum self-consistency of $AdS \times \Sigma$ brane models
|
10 pages
|
Phys.Rev. D68 (2003) 025023
|
10.1103/PhysRevD.68.025023
| null |
hep-th
| null |
Continuing on our previous work, we consider a class of higher dimensional
brane models with the topology of $AdS_{D_1+1} \times \Sigma$, where $\Sigma$
is a one-parameter compact manifold and two branes of codimension 1 are located
at the orbifold fixed points. We consider a set-up where such a solution arises
from Einstein-Yang-Mills theory and evaluate the one-loop effective potential
induced by gauge fields and by a generic bulk scalar field. We show that this
type of brane models resolves the gauge hierarchy between the Planck and
electroweak scales through redshift effects due to the warp factor $a=e^{-\pi
kr}$. The value of $a$ is then fixed by minimizing the effective potential. We
find that, as in the Randall Sundrum case, the gauge field contribution to the
effective potential stabilises the hierarchy without fine-tuning as long as the
laplacian $\Delta_\Sigma$ on $\Sigma$ has a zero eigenvalue. Scalar fields can
stabilise the hierarchy depending on the mass and the non-minimal coupling. We
also address the quantum self-consistency of the solution, showing that the
classical brane solution is not spoiled by quantum effects.
|
[
{
"created": "Fri, 4 Apr 2003 17:10:58 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Flachi",
"A.",
""
],
[
"Pujolas",
"O.",
""
]
] |
Continuing on our previous work, we consider a class of higher dimensional brane models with the topology of $AdS_{D_1+1} \times \Sigma$, where $\Sigma$ is a one-parameter compact manifold and two branes of codimension 1 are located at the orbifold fixed points. We consider a set-up where such a solution arises from Einstein-Yang-Mills theory and evaluate the one-loop effective potential induced by gauge fields and by a generic bulk scalar field. We show that this type of brane models resolves the gauge hierarchy between the Planck and electroweak scales through redshift effects due to the warp factor $a=e^{-\pi kr}$. The value of $a$ is then fixed by minimizing the effective potential. We find that, as in the Randall Sundrum case, the gauge field contribution to the effective potential stabilises the hierarchy without fine-tuning as long as the laplacian $\Delta_\Sigma$ on $\Sigma$ has a zero eigenvalue. Scalar fields can stabilise the hierarchy depending on the mass and the non-minimal coupling. We also address the quantum self-consistency of the solution, showing that the classical brane solution is not spoiled by quantum effects.
|
1809.02044
|
Milosz Panfil
|
Axel Cort\'es Cubero, Mi{\l}osz Panfil
|
Thermodynamic bootstrap program for integrable QFT's: Form factors and
correlation functions at finite energy density
|
41 pages, 10 figures
|
JHEP 104 (2019)
|
10.1007/JHEP01(2019)104
| null |
hep-th cond-mat.stat-mech cond-mat.str-el nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the form factors of local operators of integrable QFT's between
states with finite energy density. These states arise, for example, at finite
temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form
factor axioms, formulating them for a set of particle/hole excitations on top
of the thermodynamic background, instead of the vacuum. We show that exact form
factors can be found as minimal solutions of these new axioms. The
thermodynamic form factors can be used to construct correlation functions on
thermodynamic states. The expression found for the two-point function is
similar to the conjectured LeClair-Mussardo formula, but using the new form
factors dressed by the thermodynamic background, and with all singularities
properly regularized. We study the different infrared asymptotics of the
thermal two-point function, and show there generally exist two different
regimes, manifesting massive exponential decay, or effectively gapless behavior
at long distances, respectively. As an example, we compute the few-excitations
form factors of vertex operators for the sinh-Gordon model.
|
[
{
"created": "Thu, 6 Sep 2018 15:27:36 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2018 19:00:38 GMT",
"version": "v2"
}
] |
2019-01-23
|
[
[
"Cubero",
"Axel Cortés",
""
],
[
"Panfil",
"Miłosz",
""
]
] |
We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor axioms, formulating them for a set of particle/hole excitations on top of the thermodynamic background, instead of the vacuum. We show that exact form factors can be found as minimal solutions of these new axioms. The thermodynamic form factors can be used to construct correlation functions on thermodynamic states. The expression found for the two-point function is similar to the conjectured LeClair-Mussardo formula, but using the new form factors dressed by the thermodynamic background, and with all singularities properly regularized. We study the different infrared asymptotics of the thermal two-point function, and show there generally exist two different regimes, manifesting massive exponential decay, or effectively gapless behavior at long distances, respectively. As an example, we compute the few-excitations form factors of vertex operators for the sinh-Gordon model.
|
hep-th/9707069
|
Christoph Schweigert
|
J. Fuchs and C. Schweigert
|
A representation theoretic approach to the WZW Verlinde formula
|
37 pages, LaTeX2e. wrong statement in subsection 4.2 corrected and
rest of the paper adapted
| null | null | null |
hep-th alg-geom math.AG math.QA q-alg
| null |
By exploring the description of chiral blocks in terms of co-invariants, a
derivation of the Verlinde formula for WZW models is obtained which is entirely
based on the representation theory of affine Lie algebras. In contrast to
existing proofs of the Verlinde formula, this approach works universally for
all untwisted affine Lie algebras. As a by-product we obtain a homological
interpretation of the Verlinde multiplicities as Euler characteristics of
complexes built from invariant tensors of finite-dimensional simple Lie
algebras. Our results can also be used to compute certain traces of
automorphisms on the spaces of chiral blocks. Our argument is not rigorous; in
its present form this paper will therefore not be submitted for publication.
|
[
{
"created": "Mon, 7 Jul 1997 14:47:42 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 1998 14:50:29 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] |
By exploring the description of chiral blocks in terms of co-invariants, a derivation of the Verlinde formula for WZW models is obtained which is entirely based on the representation theory of affine Lie algebras. In contrast to existing proofs of the Verlinde formula, this approach works universally for all untwisted affine Lie algebras. As a by-product we obtain a homological interpretation of the Verlinde multiplicities as Euler characteristics of complexes built from invariant tensors of finite-dimensional simple Lie algebras. Our results can also be used to compute certain traces of automorphisms on the spaces of chiral blocks. Our argument is not rigorous; in its present form this paper will therefore not be submitted for publication.
|
hep-th/0205218
|
Pei-Ming Ho
|
Chong-Sun Chu, Pei-Ming Ho, Feng-Li Lin
|
Cubic String Field Theory in pp-wave Background and Background
Independent Moyal Structure
|
Latex, 23 pages, reference added
|
JHEP 0209 (2002) 003
|
10.1088/1126-6708/2002/09/003
| null |
hep-th
| null |
We study Witten open string field theory in the pp-wave background in the
tensionless limit, and construct the N-string vertex in the basis which
diagonalizes the string perturbative spectrum. We found that the Witten
*-product can be viewed as infinite copies of the Moyal product with the same
noncommutativity parameter $\theta=2$. Moreover, we show that this Moyal
structure is universal in the sense that, written in the string bit basis,
Witten's *-product for any background can always be given in terms of the
above-mentioned Moyal structure. We identify some projective operators in this
algebra that we argue to correspond to D-branes of the theory.
|
[
{
"created": "Tue, 21 May 2002 19:43:00 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 14:46:45 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Lin",
"Feng-Li",
""
]
] |
We study Witten open string field theory in the pp-wave background in the tensionless limit, and construct the N-string vertex in the basis which diagonalizes the string perturbative spectrum. We found that the Witten *-product can be viewed as infinite copies of the Moyal product with the same noncommutativity parameter $\theta=2$. Moreover, we show that this Moyal structure is universal in the sense that, written in the string bit basis, Witten's *-product for any background can always be given in terms of the above-mentioned Moyal structure. We identify some projective operators in this algebra that we argue to correspond to D-branes of the theory.
|
hep-th/9708015
|
Raman Sundrum
|
Martin Schmaltz and Raman Sundrum (Boston University)
|
N = 1 Field Theory Duality from M-theory
|
Typos corrected, 1 reference added, 20 pages latex, 7 figures
|
Phys.Rev.D57:6455-6463,1998
|
10.1103/PhysRevD.57.6455
|
BUHEP-97-23
|
hep-th
| null |
We investigate Seiberg's N=1 field theory duality for four-dimensional
supersymmetric QCD with the M-theory 5-brane. We find that the M-theory
configuration for the magnetic dual theory arises via a smooth deformation of
the M-theory configuration for the electric theory. The creation of Dirichlet
4-branes as Neveu-Schwarz 5-branes are passed through each other in Type IIA
string theory is given a nice derivation from M-theory.
|
[
{
"created": "Mon, 4 Aug 1997 23:42:00 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 1997 19:42:15 GMT",
"version": "v2"
}
] |
2009-09-15
|
[
[
"Schmaltz",
"Martin",
"",
"Boston University"
],
[
"Sundrum",
"Raman",
"",
"Boston University"
]
] |
We investigate Seiberg's N=1 field theory duality for four-dimensional supersymmetric QCD with the M-theory 5-brane. We find that the M-theory configuration for the magnetic dual theory arises via a smooth deformation of the M-theory configuration for the electric theory. The creation of Dirichlet 4-branes as Neveu-Schwarz 5-branes are passed through each other in Type IIA string theory is given a nice derivation from M-theory.
|
2005.12610
|
Sebasti\'an Alberto Franchino Vi\~nas
|
S.A. Franchino-Vi\~nas, S. Mignemi
|
Casimir effect in Snyder Space
|
15 pages, discussion regarding the large-mass asymptotics added,
typos corrected, missing factor in eq. (1) corrected
| null |
10.1016/j.nuclphysb.2020.115152
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that two indistinguishable aspects of the divergences occurring in
the Casimir effect, namely the divergence of the energy of the higher modes and
the non-com\-pact\-ness of the momentum space, get disentangled in a given
noncommutative setup. To this end, we consider a scalar field between two
parallel plates in an anti-Snyder space. Additionally, the large mass decay in
this noncommutative setup is not necessarily exponential.
|
[
{
"created": "Tue, 26 May 2020 10:18:06 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 2020 15:30:07 GMT",
"version": "v2"
}
] |
2020-09-28
|
[
[
"Franchino-Viñas",
"S. A.",
""
],
[
"Mignemi",
"S.",
""
]
] |
We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness of the momentum space, get disentangled in a given noncommutative setup. To this end, we consider a scalar field between two parallel plates in an anti-Snyder space. Additionally, the large mass decay in this noncommutative setup is not necessarily exponential.
|
2303.05273
|
Andrei Mironov
|
A. Mironov, A. Morozov
|
Many-body integrable systems implied by WLZZ models
|
8 pages
|
Physics Letters B842 (2023) 137964
|
10.1016/j.physletb.2023.137964
|
MIPT/TH-07/23; FIAN/TD-06/23; ITEP/TH-08/23; IITP/TH-06/23
|
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide some details about the recently discovered integrable systems
implied by commutativity of $W$ operators along the rays on the plane of roots
of $w_\infty$-algebra. The simplest system of this type is the rational
Calogero model, other systems escaped attention in the past. Existence of these
systems is intimately tied to the very interesting WLZZ matrix models, which
are now under intensive study.
|
[
{
"created": "Thu, 9 Mar 2023 14:12:10 GMT",
"version": "v1"
}
] |
2023-05-25
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We provide some details about the recently discovered integrable systems implied by commutativity of $W$ operators along the rays on the plane of roots of $w_\infty$-algebra. The simplest system of this type is the rational Calogero model, other systems escaped attention in the past. Existence of these systems is intimately tied to the very interesting WLZZ matrix models, which are now under intensive study.
|
2201.10916
|
Dimitrios Tsimpis
|
Dimitrios Tsimpis
|
Relative scale separation in orbifolds of $S^2$ and $S^5$
|
26 pages, 3 figures. v2: minor typos corrected. v3: minor
improvements; to appear in JHEP
| null |
10.1007/JHEP03(2022)169
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In orbifold vacua containing an $S^q/\Gamma$ factor, we compute the relative
order of scale separation, $r$, defined as the ratio of the eigenvalue of the
lowest-lying $\Gamma$-invariant state of the scalar Laplacian on $S^q$, to the
eigenvalue of the lowest-lying state. For $q=2$ and $\Gamma$ finite subgroup of
$SO(3)$, or $q=5$ and $\Gamma$ finite subgroup of $SU(3)$, the maximal relative
order of scale separation that can be achieved is $r=21$ or $r=12$,
respectively. For smooth $S^5$ orbifolds, the maximal relative scale separation
is $r=4.2$. Methods from invariant theory are very efficient in constructing
$\Gamma$-invariant spherical harmonics, and can be readily generalized to other
orbifolds.
|
[
{
"created": "Wed, 26 Jan 2022 13:06:15 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2022 14:04:33 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Mar 2022 15:22:39 GMT",
"version": "v3"
}
] |
2022-04-13
|
[
[
"Tsimpis",
"Dimitrios",
""
]
] |
In orbifold vacua containing an $S^q/\Gamma$ factor, we compute the relative order of scale separation, $r$, defined as the ratio of the eigenvalue of the lowest-lying $\Gamma$-invariant state of the scalar Laplacian on $S^q$, to the eigenvalue of the lowest-lying state. For $q=2$ and $\Gamma$ finite subgroup of $SO(3)$, or $q=5$ and $\Gamma$ finite subgroup of $SU(3)$, the maximal relative order of scale separation that can be achieved is $r=21$ or $r=12$, respectively. For smooth $S^5$ orbifolds, the maximal relative scale separation is $r=4.2$. Methods from invariant theory are very efficient in constructing $\Gamma$-invariant spherical harmonics, and can be readily generalized to other orbifolds.
|
hep-th/0402189
|
Pietro Antonio Grassi
|
P. A. Grassi (YITP, Stony Brook, DISTA, Univ. Piem. Orien.) and P. van
Nieuwenhuizen (YITP, Stony Brook)
|
Harmonic Superspaces from Superstrings
|
14 pp. Harvmac
|
Phys.Lett. B593 (2004) 271
|
10.1016/j.physletb.2004.04.051
|
YITP-SB-04-07
|
hep-th
| null |
We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from
superstring theory. The pure spinors in ten dimensions are dimensionally
reduced and yield the harmonic coordinates. Two anticommuting BRST charges
implement Grassmann analyticity and harmonic analyticity. The string field
theory action produces the action and field equations for N=3 SYM theory in
harmonic superspace.
|
[
{
"created": "Tue, 24 Feb 2004 13:44:29 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Grassi",
"P. A.",
"",
"YITP, Stony Brook, DISTA, Univ. Piem. Orien."
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony Brook"
]
] |
We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement Grassmann analyticity and harmonic analyticity. The string field theory action produces the action and field equations for N=3 SYM theory in harmonic superspace.
|
2009.05607
|
Cameron Langer
|
Enrico Herrmann, Cameron Langer, Jaroslav Trnka, Minshan Zheng
|
Positive geometry, local triangulations, and the dual of the
Amplituhedron
|
117 pages, many figures
| null |
10.1007/JHEP01(2021)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate the systematic study of \emph{local positive spaces} which arise
in the context of the Amplituhedron construction for scattering amplitudes in
planar maximally supersymmetric Yang-Mills theory. We show that all local
positive spaces relevant for one-loop MHV amplitudes are characterized by
certain sign-flip conditions and are associated with surprisingly simple
logarithmic forms. In the maximal sign-flip case they are finite one-loop
octagons. Particular combinations of sign-flip spaces can be glued into new
local positive geometries. These correspond to local pentagon integrands that
appear in the local expansion of the MHV one-loop amplitude. We show that,
geometrically, these pentagons do \emph{not} triangulate the original
Amplituhedron space but rather its twin "Amplituhedron-Prime." This new
geometry has the same boundary structure as the Amplituhedron (and therefore
the same logarithmic form) but differs in the bulk as a geometric space. On
certain two-dimensional boundaries, where the Amplituhedron geometry reduces to
a polygon, we check that both spaces map to the same dual polygon.
Interestingly, we find that the pentagons internally triangulate that dual
space. This gives a direct evidence that the chiral pentagons are natural
building blocks for a yet-to-be discovered dual Amplituhedron.
|
[
{
"created": "Fri, 11 Sep 2020 18:48:51 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Herrmann",
"Enrico",
""
],
[
"Langer",
"Cameron",
""
],
[
"Trnka",
"Jaroslav",
""
],
[
"Zheng",
"Minshan",
""
]
] |
We initiate the systematic study of \emph{local positive spaces} which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relevant for one-loop MHV amplitudes are characterized by certain sign-flip conditions and are associated with surprisingly simple logarithmic forms. In the maximal sign-flip case they are finite one-loop octagons. Particular combinations of sign-flip spaces can be glued into new local positive geometries. These correspond to local pentagon integrands that appear in the local expansion of the MHV one-loop amplitude. We show that, geometrically, these pentagons do \emph{not} triangulate the original Amplituhedron space but rather its twin "Amplituhedron-Prime." This new geometry has the same boundary structure as the Amplituhedron (and therefore the same logarithmic form) but differs in the bulk as a geometric space. On certain two-dimensional boundaries, where the Amplituhedron geometry reduces to a polygon, we check that both spaces map to the same dual polygon. Interestingly, we find that the pentagons internally triangulate that dual space. This gives a direct evidence that the chiral pentagons are natural building blocks for a yet-to-be discovered dual Amplituhedron.
|
hep-th/0311031
|
Seckin Kurkcuoglu
|
S. Kurkcuoglu
|
Non-Linear Sigma Model on the Fuzzy Supersphere
|
11 pages, LaTeX, corrected typos
|
JHEP 0403 (2004) 062
|
10.1088/1126-6708/2004/03/062
|
SU-4252-788
|
hep-th
| null |
In this note we develop fuzzy versions of the supersymmetric non-linear sigma
model on the supersphere S^(2,2). In hep-th/0212133 Bott projectors have been
used to obtain the fuzzy CP^1 model. Our approach utilizes the use of
supersymmetric extensions of these projectors. Here we obtain these (super)
-projectors and quantize them in a fashion similar to the one given in
hep-th/0212133. We discuss the interpretation of the resulting model as a
finite dimensional matrix model.
|
[
{
"created": "Wed, 5 Nov 2003 00:11:32 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2004 01:00:31 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 2004 22:43:58 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kurkcuoglu",
"S.",
""
]
] |
In this note we develop fuzzy versions of the supersymmetric non-linear sigma model on the supersphere S^(2,2). In hep-th/0212133 Bott projectors have been used to obtain the fuzzy CP^1 model. Our approach utilizes the use of supersymmetric extensions of these projectors. Here we obtain these (super) -projectors and quantize them in a fashion similar to the one given in hep-th/0212133. We discuss the interpretation of the resulting model as a finite dimensional matrix model.
|
hep-th/0404048
|
Gerardo Cristofano
|
G.Cristofano, V. Marotta, A. Naddeo (Univ. degli Studi di Napoli),
G.Niccoli (SISSA-Trieste)
|
A conformal field theory description of magnetic flux fractionalization
in Josephson junction ladders
|
16 pages, 2 figure, Latex, revised version
|
Eur.Phys.J. B49 (2006) 83-91
|
10.1140/epjb/e2006-00028-x
|
DSF-T-05/2004, INFN-NA-05/2004, ISAS/24/2004/FM
|
hep-th cond-mat.supr-con
| null |
We show how the recently proposed effective theory for a Quantum Hall system
at "paired states" filling v=1 (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys.
B641 (2002) 547), the twisted model (TM), well adapts to describe the
phenomenology of Josephson Junction ladders (JJL) in the presence of defects.
In particular it is shown how naturally the phenomenon of flux
fractionalization takes place in such a description and its relation with the
discrete symmetries present in the TM. Furthermore we focus on closed
geometries, which enable us to analyze the topological properties of the ground
state of the system in relation to the presence of half flux quanta.
|
[
{
"created": "Tue, 6 Apr 2004 13:14:30 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Nov 2004 14:08:25 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Sep 2005 11:56:09 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Cristofano",
"G.",
"",
"Univ. degli Studi di Napoli"
],
[
"Marotta",
"V.",
"",
"Univ. degli Studi di Napoli"
],
[
"Naddeo",
"A.",
"",
"Univ. degli Studi di Napoli"
],
[
"Niccoli",
"G.",
"",
"SISSA-Trieste"
]
] |
We show how the recently proposed effective theory for a Quantum Hall system at "paired states" filling v=1 (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B641 (2002) 547), the twisted model (TM), well adapts to describe the phenomenology of Josephson Junction ladders (JJL) in the presence of defects. In particular it is shown how naturally the phenomenon of flux fractionalization takes place in such a description and its relation with the discrete symmetries present in the TM. Furthermore we focus on closed geometries, which enable us to analyze the topological properties of the ground state of the system in relation to the presence of half flux quanta.
|
1903.03552
|
Cristian Stelea
|
Marina-Aura Dariescu, Ciprian Dariescu and Cristian Stelea
|
Massless fermions on static general prolate metrics and their Heun
solutions
|
17 pages, no figures
| null |
10.1142/S0217732320500364
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Employing a pseudo-orthonormal coordinate-free approach we write down the
Dirac equation in spacetimes with static generally prolate metrics. As
examples, we consider the electrically charged C-metric, the vacuum C-metric,
the Reissner-Nordstrom and Schwarszchild spacetimes and the BBMB black hole and
show that the solutions to the Dirac equations for particles these spacetimes
can be derived in terms of Heun's general functions and their confluent and
double confluent forms.
|
[
{
"created": "Fri, 8 Mar 2019 16:53:34 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"Dariescu",
"Marina-Aura",
""
],
[
"Dariescu",
"Ciprian",
""
],
[
"Stelea",
"Cristian",
""
]
] |
Employing a pseudo-orthonormal coordinate-free approach we write down the Dirac equation in spacetimes with static generally prolate metrics. As examples, we consider the electrically charged C-metric, the vacuum C-metric, the Reissner-Nordstrom and Schwarszchild spacetimes and the BBMB black hole and show that the solutions to the Dirac equations for particles these spacetimes can be derived in terms of Heun's general functions and their confluent and double confluent forms.
|
hep-th/9706139
|
Dionisio Bazeia Filho
|
F.A. Brito and D. Bazeia
|
Domain Ribbons Inside Domain Walls at Finite Temperature
|
Latex, 20 pages. Misprints corrected. Improvements in sections 1, 3,
and 4. New references added
|
Phys.Rev. D56 (1997) 7869-7876
|
10.1103/PhysRevD.56.7869
| null |
hep-th
| null |
In this paper we deal with defects inside defects in systems of two scalar
fields in 3+1 dimensions. The systems we consider are defined by potentials
containing two real scalar fields, and so we are going to investigate domain
ribbons inside domain walls. After introducing some general comments on the
possibility of finding defects that support internal structure in two specific
systems, we introduce thermal effects to show how the picture for domain walls
hosting domain ribbons appears at high temperature.
|
[
{
"created": "Tue, 18 Jun 1996 12:24:54 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Aug 1996 10:55:26 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Brito",
"F. A.",
""
],
[
"Bazeia",
"D.",
""
]
] |
In this paper we deal with defects inside defects in systems of two scalar fields in 3+1 dimensions. The systems we consider are defined by potentials containing two real scalar fields, and so we are going to investigate domain ribbons inside domain walls. After introducing some general comments on the possibility of finding defects that support internal structure in two specific systems, we introduce thermal effects to show how the picture for domain walls hosting domain ribbons appears at high temperature.
|
1905.00864
|
Jie Gu
|
Jie Gu, Albrecht Klemm, Kaiwen Sun, Xin Wang
|
Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
|
117 pages, 5 figures; typos corrected, new references added
| null |
10.1007/JHEP12(2019)039
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The building blocks of 6d $(1,0)$ SCFTs include certain rank one theories
with gauge group $G=SU(3),SO(8),F_4,E_{6,7,8}$. In this paper, we propose a
universal recursion formula for the elliptic genera of all such theories. This
formula is solved from the elliptic blowup equations introduced in our previous
paper. We explicitly compute the elliptic genera and refined BPS invariants,
which recover all previous results from topological string theory, modular
bootstrap, Hilbert series, 2d quiver gauge theories and 4d $\mathcal{N}=2$
superconformal $H_{G}$ theories. We also observe an intriguing relation between
the $k$-string elliptic genus and the Schur indices of rank $k$ $H_{G}$ SCFTs,
as a generalization of Lockhart-Zotto's conjecture at the rank one cases. In a
subsequent paper, we deal with all other non-Higgsable clusters with matters.
|
[
{
"created": "Thu, 2 May 2019 17:23:19 GMT",
"version": "v1"
},
{
"created": "Sun, 12 May 2019 18:16:27 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Aug 2019 15:25:58 GMT",
"version": "v3"
}
] |
2020-01-29
|
[
[
"Gu",
"Jie",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Sun",
"Kaiwen",
""
],
[
"Wang",
"Xin",
""
]
] |
The building blocks of 6d $(1,0)$ SCFTs include certain rank one theories with gauge group $G=SU(3),SO(8),F_4,E_{6,7,8}$. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d $\mathcal{N}=2$ superconformal $H_{G}$ theories. We also observe an intriguing relation between the $k$-string elliptic genus and the Schur indices of rank $k$ $H_{G}$ SCFTs, as a generalization of Lockhart-Zotto's conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.
|
hep-th/9305175
| null |
A. M. Chervyakov and V. V. Nesterenko
|
Is it possible to assign physical meaning to field theory with higher
derivatives?
|
16 pp, LaTeX, JINR E2-93-193
|
Phys.Rev.D48:5811-5817,1993
|
10.1103/PhysRevD.48.5811
| null |
hep-th
| null |
To overcome the difficulties with the energy indefiniteness in field theories
with higher derivatives, it is supposed to use the mechanical analogy, the
Timoshenko theory of the transverse flexural vibrations of beams or rods well
known in mechanical engineering. It enables one to introduce the notion of a
"mechanical" energy in such field models that is wittingly positive definite.
This approach can be applied at least to the higher derivative models which
effectively describe the extended localized solutions in usual first order
field theories (vortex solutions in Higgs models and so on). Any problems with
a negative norm ghost states and unitarity violation do not arise here.
|
[
{
"created": "Sat, 29 May 1993 15:32:11 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Chervyakov",
"A. M.",
""
],
[
"Nesterenko",
"V. V.",
""
]
] |
To overcome the difficulties with the energy indefiniteness in field theories with higher derivatives, it is supposed to use the mechanical analogy, the Timoshenko theory of the transverse flexural vibrations of beams or rods well known in mechanical engineering. It enables one to introduce the notion of a "mechanical" energy in such field models that is wittingly positive definite. This approach can be applied at least to the higher derivative models which effectively describe the extended localized solutions in usual first order field theories (vortex solutions in Higgs models and so on). Any problems with a negative norm ghost states and unitarity violation do not arise here.
|
hep-th/9904161
|
Adrian Rene Lugo
|
Adrian R. Lugo
|
Non standard parametrizations and adjoint invariants of classical groups
|
11 pages, latex file, La Plata preprint Th-99/01. Minor changes in
the introduction, version to appear in Physics Letters B
|
Phys.Lett. B465 (1999) 169-176
|
10.1016/S0370-2693(99)00936-3
| null |
hep-th
| null |
We obtain local parametrizations of classical non-compact Lie groups where
adjoint invariants under maximal compact subgroups are manifest. Extension to
non compact subgroups is straightforward. As a by-product parametrizations of
the same type are obtained for compact groups. They are of physical interest in
any theory gauge invariant under the adjoint action, typical examples being the
two dimensional gauged Wess-Zumino-Witten-Novikov models where these
coordinatizations become of extreme usefulness to get the background fields
representing the vacuum expectation values of the massless modes of the
associated (super) string theory.
|
[
{
"created": "Sat, 24 Apr 1999 00:23:21 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 1999 23:17:55 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lugo",
"Adrian R.",
""
]
] |
We obtain local parametrizations of classical non-compact Lie groups where adjoint invariants under maximal compact subgroups are manifest. Extension to non compact subgroups is straightforward. As a by-product parametrizations of the same type are obtained for compact groups. They are of physical interest in any theory gauge invariant under the adjoint action, typical examples being the two dimensional gauged Wess-Zumino-Witten-Novikov models where these coordinatizations become of extreme usefulness to get the background fields representing the vacuum expectation values of the massless modes of the associated (super) string theory.
|
1604.05326
|
Benedict J. Broy
|
Benedict J. Broy, Dries Coone, Diederik Roest
|
Plateau Inflation from Random Non-Minimal Coupling
|
9 pages, twocolumn, some figures; v2: 1 figure and appendix added,
jcap layout
|
JCAP06 (2016) 036
|
10.1088/1475-7516/2016/06/036
|
DESY-16-069
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A generic non-minimal coupling can push any higher-order terms of the scalar
potential sufficiently far out in field space to yield observationally viable
plateau inflation. We provide analytic and numerical evidence that this
generically happens for a non-minimal coupling strength $\xi$ of the order
$N_e^2$. In this regime, the non-minimally coupled field is sub-Planckian
during inflation and is thus protected from most higher-order terms. For larger
values of $\xi$, the inflationary predictions converge towards the sweet spot
of PLANCK. The latter includes $\xi\simeq 10^4$ obtained from CMB normalization
arguments, thus providing a natural explanation for the inflationary
observables measured.
|
[
{
"created": "Mon, 18 Apr 2016 20:00:10 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2016 14:28:09 GMT",
"version": "v2"
}
] |
2016-10-28
|
[
[
"Broy",
"Benedict J.",
""
],
[
"Coone",
"Dries",
""
],
[
"Roest",
"Diederik",
""
]
] |
A generic non-minimal coupling can push any higher-order terms of the scalar potential sufficiently far out in field space to yield observationally viable plateau inflation. We provide analytic and numerical evidence that this generically happens for a non-minimal coupling strength $\xi$ of the order $N_e^2$. In this regime, the non-minimally coupled field is sub-Planckian during inflation and is thus protected from most higher-order terms. For larger values of $\xi$, the inflationary predictions converge towards the sweet spot of PLANCK. The latter includes $\xi\simeq 10^4$ obtained from CMB normalization arguments, thus providing a natural explanation for the inflationary observables measured.
|
hep-th/9502029
|
Kanno
|
Hiroaki Kanno and Y\H{u}ji Ohta
|
Topological Strings with Scaling Violation and Toda Lattice Hierarchy
|
27 pages, latex, no figures
|
Nucl.Phys.B442:179-204,1995
|
10.1016/S0550-3213(95)00138-7
| null |
hep-th
| null |
We show that there is a series of topological string theories whose
integrable structure is described by the Toda lattice hierarchy. The monodromy
group of the Frobenius manifold for the matter sector is an extension of the
affine Weyl group $\widetilde W (A_N^{(1)})$ introduced by Dubrovin. These
models are generalizations of the topological $CP^1$ string theory with scaling
violation. The logarithmic Hamiltonians generate flows for the puncture
operator and its descendants. We derive the string equation from the
constraints on the Lax and the Orlov operators. The constraints are of
different type from those for the $c=1$ string theory. Higher genus expansion
is obtained by considering the Lax operator in matrix form.
|
[
{
"created": "Mon, 6 Feb 1995 01:55:06 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Kanno",
"Hiroaki",
""
],
[
"Ohta",
"Yűji",
""
]
] |
We show that there is a series of topological string theories whose integrable structure is described by the Toda lattice hierarchy. The monodromy group of the Frobenius manifold for the matter sector is an extension of the affine Weyl group $\widetilde W (A_N^{(1)})$ introduced by Dubrovin. These models are generalizations of the topological $CP^1$ string theory with scaling violation. The logarithmic Hamiltonians generate flows for the puncture operator and its descendants. We derive the string equation from the constraints on the Lax and the Orlov operators. The constraints are of different type from those for the $c=1$ string theory. Higher genus expansion is obtained by considering the Lax operator in matrix form.
|
1810.08741
|
Adam R. Brown
|
Adam R. Brown, Hrant Gharibyan, Henry W. Lin, Leonard Susskind, Larus
Thorlacius, Ying Zhao
|
The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
|
31 pages, 5 figures
|
Phys. Rev. D 99, 046016 (2019)
|
10.1103/PhysRevD.99.046016
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of
charged black holes. Motivated by the holographic complexity conjecture, we
calculate the late-time rate of change of action of a Wheeler-DeWitt patch in
the JT theory. Surprisingly, the rate vanishes. This is puzzling because it
contradicts both holographic expectations for the rate of complexification and
also action calculations for charged black holes. We trace the discrepancy to
an improper treatment of boundary terms when naively doing the dimensional
reduction. Once the boundary term is corrected, we find exact agreement with
expectations. We comment on the general lessons that this might hold for
holographic complexity and beyond.
|
[
{
"created": "Sat, 20 Oct 2018 03:01:25 GMT",
"version": "v1"
}
] |
2019-03-06
|
[
[
"Brown",
"Adam R.",
""
],
[
"Gharibyan",
"Hrant",
""
],
[
"Lin",
"Henry W.",
""
],
[
"Susskind",
"Leonard",
""
],
[
"Thorlacius",
"Larus",
""
],
[
"Zhao",
"Ying",
""
]
] |
The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT theory. Surprisingly, the rate vanishes. This is puzzling because it contradicts both holographic expectations for the rate of complexification and also action calculations for charged black holes. We trace the discrepancy to an improper treatment of boundary terms when naively doing the dimensional reduction. Once the boundary term is corrected, we find exact agreement with expectations. We comment on the general lessons that this might hold for holographic complexity and beyond.
|
hep-th/0004191
|
Rabin Banerjee
|
Rabin Banerjee and Clovis Wotzasek
|
Soldering and Mass Generation in Four Dimensions
|
7 pages, latex
| null | null | null |
hep-th
| null |
We propose bosonised expressions for the chiral Schwinger models in four
dimensions. Then, in complete analogy with the two dimensional case, we show
the soldering of two bosonised chiral Schwinger models with opposite
chiralities to yield the bosonised Schwinger model in four dimensions. The
implications of the Schwinger model or its chiral version, as known for two
dimensions, thereby get extended to four dimensions.
|
[
{
"created": "Thu, 27 Apr 2000 11:31:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Wotzasek",
"Clovis",
""
]
] |
We propose bosonised expressions for the chiral Schwinger models in four dimensions. Then, in complete analogy with the two dimensional case, we show the soldering of two bosonised chiral Schwinger models with opposite chiralities to yield the bosonised Schwinger model in four dimensions. The implications of the Schwinger model or its chiral version, as known for two dimensions, thereby get extended to four dimensions.
|
2103.13639
|
Ryutaro Matsudo
|
Ryuichiro Kitano and Ryutaro Matsudo
|
Missing final state puzzle in the monopole-fermion scattering
|
19 pages, 5 figures
| null |
10.1016/j.physletb.2022.137271
|
KEK-TH-2313
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been known that when a charged fermion scatters off a monopole, the
fermion in the $s$-wave component must flip its chirality, i.e., fermion number
violation must happen. This fact has led to a puzzle; if there are two or more
flavors of massless fermions, any superposition of the fermion states cannot be
the final state of the $s$-wave scattering as it is forbidden by conservation
of the electric and flavor charges. The unitary evolution of the state vector,
on the other hand, requires some interpretation of the final states. We solve
the puzzle by finding new particle excitations in the monopole background,
where multi-fermion operators exhibit condensation. The particles are described
as excitations of closed-string configurations of the condensates.
|
[
{
"created": "Thu, 25 Mar 2021 07:18:00 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2021 06:10:30 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jan 2022 06:46:29 GMT",
"version": "v3"
}
] |
2022-07-06
|
[
[
"Kitano",
"Ryuichiro",
""
],
[
"Matsudo",
"Ryutaro",
""
]
] |
It has been known that when a charged fermion scatters off a monopole, the fermion in the $s$-wave component must flip its chirality, i.e., fermion number violation must happen. This fact has led to a puzzle; if there are two or more flavors of massless fermions, any superposition of the fermion states cannot be the final state of the $s$-wave scattering as it is forbidden by conservation of the electric and flavor charges. The unitary evolution of the state vector, on the other hand, requires some interpretation of the final states. We solve the puzzle by finding new particle excitations in the monopole background, where multi-fermion operators exhibit condensation. The particles are described as excitations of closed-string configurations of the condensates.
|
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