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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0305256
|
Andreas Rathke
|
Andrei O. Barvinsky, Alexander Yu. Kamenshchik, Andreas Rathke, Claus
Kiefer
|
Radion-induced gravitational wave oscillations and their phenomenology
|
27 pages, to appear in Annalen Phys
|
Annalen Phys. 12 (2003) 343-370
|
10.1002/andp.200310016
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We discuss the theory and phenomenology of the interplay between the massless
graviton and its massive Kaluza-Klein modes in the Randall-Sundrum two-brane
model. The equations of motion of the transverse traceless degrees of freedom
are derived by means of a Green function approach as well as from an effective
nonlocal action. The second procedure clarifies the extraction of the particle
content from the nonlocal action and the issue of its diagonalization. The
situation discussed is generic for the treatment of two-brane models if the
on-brane fields are used as the dynamical degrees of freedom. The mixing of the
effective graviton modes of the localized action can be interpreted as
radion-induced gravitational-wave oscillations, a classical analogy to meson
and neutrino oscillations. We show that these oscillations arising in
M-theory-motivated braneworld setups could lead to effects detectable by
gravitational-wave interferometers. The implications of this effect for models
with ultra-light gravitons are discussed.
|
[
{
"created": "Thu, 29 May 2003 16:16:56 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Barvinsky",
"Andrei O.",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Rathke",
"Andreas",
""
],
[
"Kiefer",
"Claus",
""
]
] |
We discuss the theory and phenomenology of the interplay between the massless graviton and its massive Kaluza-Klein modes in the Randall-Sundrum two-brane model. The equations of motion of the transverse traceless degrees of freedom are derived by means of a Green function approach as well as from an effective nonlocal action. The second procedure clarifies the extraction of the particle content from the nonlocal action and the issue of its diagonalization. The situation discussed is generic for the treatment of two-brane models if the on-brane fields are used as the dynamical degrees of freedom. The mixing of the effective graviton modes of the localized action can be interpreted as radion-induced gravitational-wave oscillations, a classical analogy to meson and neutrino oscillations. We show that these oscillations arising in M-theory-motivated braneworld setups could lead to effects detectable by gravitational-wave interferometers. The implications of this effect for models with ultra-light gravitons are discussed.
|
hep-th/0204253
|
Daniel Grumiller
|
D. Grumiller, W. Kummer, D.V. Vassilevich
|
Dilaton Gravity in Two Dimensions
|
144 pages, 16 figures; v2,v3: added refs. and corrected typos, v4:
added 2 refs. and corrected typos (published version), v5: added note with
some relevant refs., v6: diligent students found still a couple of typos,
added 1 ref., v7: last update from Vienna (a couple of typos), v8: Leipzig
edition (a dozen typos), v9: MIT edition (4 typos, 1 ref.)
|
Phys.Rept.369:327-430,2002
|
10.1016/S0370-1573(02)00267-3
|
TUW-02-01
|
hep-th gr-qc
| null |
The study of general two dimensional models of gravity allows to tackle basic
questions of quantum gravity, bypassing important technical complications which
make the treatment in higher dimensions difficult. As the physically important
examples of spherically symmetric Black Holes, together with string inspired
models, belong to this class, valuable knowledge can also be gained for these
systems in the quantum case. In the last decade new insights regarding the
exact quantization of the geometric part of such theories have been obtained.
They allow a systematic quantum field theoretical treatment, also in
interactions with matter, without explicit introduction of a specific classical
background geometry. The present review tries to assemble these results in a
coherent manner, putting them at the same time into the perspective of the
quite large literature on this subject.
|
[
{
"created": "Tue, 30 Apr 2002 10:39:22 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2002 16:21:54 GMT",
"version": "v2"
},
{
"created": "Thu, 23 May 2002 08:21:24 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Aug 2002 13:04:58 GMT",
"version": "v4"
},
{
"created": "Wed, 4 Sep 2002 11:28:42 GMT",
"version": "v5"
},
{
"created": "Tue, 20 May 2003 13:38:55 GMT",
"version": "v6"
},
{
"created": "Thu, 18 Dec 2003 13:37:07 GMT",
"version": "v7"
},
{
"created": "Wed, 3 Nov 2004 10:10:49 GMT",
"version": "v8"
},
{
"created": "Fri, 4 Jan 2008 22:21:18 GMT",
"version": "v9"
}
] |
2010-11-19
|
[
[
"Grumiller",
"D.",
""
],
[
"Kummer",
"W.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] |
The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.
|
hep-th/9408061
|
Gerald Dunne
|
Gerald Dunne
|
Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
|
19 pages (LaTeX)
|
Nucl.Phys. B433 (1995) 333-350
|
10.1016/0550-3213(94)00476-U
| null |
hep-th
| null |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter
coupling, and show that the sixth order self-dual potential has $p(N)$ gauge
inequivalent degenerate minima, where $p(N)$ is the number of partitions of
$N$. We compute the masses of the gauge and scalar excitations in these
different vacua, revealing an intricate mass structure which reflects the
self-dual nature of the model.
|
[
{
"created": "Wed, 10 Aug 1994 13:30:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dunne",
"Gerald",
""
]
] |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has $p(N)$ gauge inequivalent degenerate minima, where $p(N)$ is the number of partitions of $N$. We compute the masses of the gauge and scalar excitations in these different vacua, revealing an intricate mass structure which reflects the self-dual nature of the model.
|
1801.09006
|
Ksenia Bulycheva
|
Ksenia Bulycheva
|
$\mathcal N=2$ SYK model in the superspace formalism
|
42 pages
| null |
10.1007/JHEP04(2018)036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use superspace methods to study an SYK-like model with $\mathcal N=2$
supersymmetry in one dimension, and an analog of this model in two dimensions.
We find the four-point function as an expansion in the basis of eigenfunctions
of the Casimir of $su(1,1|1)$. We also find retarded kernels and Lyapunov
exponents for both cases.
|
[
{
"created": "Fri, 26 Jan 2018 23:39:48 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2018 18:19:56 GMT",
"version": "v2"
}
] |
2018-05-09
|
[
[
"Bulycheva",
"Ksenia",
""
]
] |
We use superspace methods to study an SYK-like model with $\mathcal N=2$ supersymmetry in one dimension, and an analog of this model in two dimensions. We find the four-point function as an expansion in the basis of eigenfunctions of the Casimir of $su(1,1|1)$. We also find retarded kernels and Lyapunov exponents for both cases.
|
hep-th/0307276
|
Norisuke Sakai
|
Minoru Eto and Norisuke Sakai
|
Solvable Models of Domain Walls in N=1 Supergravity
|
10 pages, 3 figures; Misprints in three formulas are corrected
|
Phys.Rev. D68 (2003) 125001
|
10.1103/PhysRevD.68.125001
|
TIT/HEP-505
|
hep-th
| null |
A class of exactly solvable models of domain walls are worked out in D=4
${\cal N}=1$ supergravity. We develop a method to embed globally supersymmetric
theories with exact BPS domain wall solutions into supergravity, by introducing
a gravitationally deformed superpotential. The gravitational deformation is
natural in the spirit of maintaining the K\"ahler invariance. The solutions of
the warp factor and the Killing spinor are also obtained. We find that three
distinct behaviors of warp factors arise depending on the value of a constant
term in the superpotential : exponentially decreasing in both sides of the
wall, flat in one side and decreasing in the other, and increasing in one side
and decreasing in the other. Only the first possibility gives the localized
massless graviton zero mode. Models with multi-walls and models with runaway
vacua are also discussed.
|
[
{
"created": "Tue, 29 Jul 2003 06:04:08 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 2003 03:11:18 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Eto",
"Minoru",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
A class of exactly solvable models of domain walls are worked out in D=4 ${\cal N}=1$ supergravity. We develop a method to embed globally supersymmetric theories with exact BPS domain wall solutions into supergravity, by introducing a gravitationally deformed superpotential. The gravitational deformation is natural in the spirit of maintaining the K\"ahler invariance. The solutions of the warp factor and the Killing spinor are also obtained. We find that three distinct behaviors of warp factors arise depending on the value of a constant term in the superpotential : exponentially decreasing in both sides of the wall, flat in one side and decreasing in the other, and increasing in one side and decreasing in the other. Only the first possibility gives the localized massless graviton zero mode. Models with multi-walls and models with runaway vacua are also discussed.
|
2206.00894
|
Andrea Quadri
|
D.Binosi (ECT, Trento) and A.Quadri (INFN, Milano)
|
Renormalizable Extension of the Abelian Higgs-Kibble Model with a
dimension 6 operator
|
32 pages
| null |
10.1103/PhysRevD.106.065022
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A deformation of the Abelian Higgs Kibble model induced by a dimension 6
derivative operator is studied. A novel differential equation is established
fixing the dependence of the vertex functional on the coupling $z$ of the dim.6
operator in terms of amplitudes at $z = 0$ (those of the power-counting
renormalizable Higgs-Kibble model). The latter equation holds in a formalism
where the physical mode is described by a gauge-invariant field. The functional
identities of the theory in this formalism are studied. In particular we show
that the Slavnov-Taylor identities separately hold true at each order in the
number of internal propagators of the gauge-invariant scalar. Despite being
non-power-counting renormalizable, the model at $z \neq 0$ depends on a finite
number of physical parameters.
|
[
{
"created": "Thu, 2 Jun 2022 06:51:12 GMT",
"version": "v1"
}
] |
2022-10-12
|
[
[
"Binosi",
"D.",
"",
"ECT, Trento"
],
[
"Quadri",
"A.",
"",
"INFN, Milano"
]
] |
A deformation of the Abelian Higgs Kibble model induced by a dimension 6 derivative operator is studied. A novel differential equation is established fixing the dependence of the vertex functional on the coupling $z$ of the dim.6 operator in terms of amplitudes at $z = 0$ (those of the power-counting renormalizable Higgs-Kibble model). The latter equation holds in a formalism where the physical mode is described by a gauge-invariant field. The functional identities of the theory in this formalism are studied. In particular we show that the Slavnov-Taylor identities separately hold true at each order in the number of internal propagators of the gauge-invariant scalar. Despite being non-power-counting renormalizable, the model at $z \neq 0$ depends on a finite number of physical parameters.
|
2406.01690
|
Daniel Junghans
|
Ludwig Horer, Daniel Junghans
|
Almost classical de Sitter?
|
58 pages, 6 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The classical-dS scenario in the type II string theories proposes to search
for dS vacua of orientifold flux compactifications in a regime where string
corrections to the compactified effective field theory are negligible. We study
a minimal extension of this scenario in which the leading string corrections to
the O-plane/D-brane actions at the 4-derivative order are included but higher
orders as well as string corrections in the bulk are self-consistently
neglected. Our proposal is motivated by a recent debate about dS solutions with
O8-planes which circumvent a classical no-go theorem due to unusual sources
leading to so-called permissive boundary conditions for the 10D supergravity
fields. We argue that such sources do not arise in classical supergravity but
ask whether including the 4-derivative corrections leads to sources that have a
similar effect. However, we find that the 4-derivative corrections do not allow
meta-stable dS in a class of models with O8-planes and/or D8-branes we
consider. We also study related models which in addition contain
O6-planes/D6-branes and find that again no meta-stable dS is allowed, both
classically and including the 4-derivative corrections. While some of the
arguments in this work require the backreaction of the O-plane/D-brane sources
to be small, others are valid including the full backreaction.
|
[
{
"created": "Mon, 3 Jun 2024 18:00:02 GMT",
"version": "v1"
}
] |
2024-06-05
|
[
[
"Horer",
"Ludwig",
""
],
[
"Junghans",
"Daniel",
""
]
] |
The classical-dS scenario in the type II string theories proposes to search for dS vacua of orientifold flux compactifications in a regime where string corrections to the compactified effective field theory are negligible. We study a minimal extension of this scenario in which the leading string corrections to the O-plane/D-brane actions at the 4-derivative order are included but higher orders as well as string corrections in the bulk are self-consistently neglected. Our proposal is motivated by a recent debate about dS solutions with O8-planes which circumvent a classical no-go theorem due to unusual sources leading to so-called permissive boundary conditions for the 10D supergravity fields. We argue that such sources do not arise in classical supergravity but ask whether including the 4-derivative corrections leads to sources that have a similar effect. However, we find that the 4-derivative corrections do not allow meta-stable dS in a class of models with O8-planes and/or D8-branes we consider. We also study related models which in addition contain O6-planes/D6-branes and find that again no meta-stable dS is allowed, both classically and including the 4-derivative corrections. While some of the arguments in this work require the backreaction of the O-plane/D-brane sources to be small, others are valid including the full backreaction.
|
hep-th/0311193
|
Rudra Prakash Malik
|
R. P. Malik (Bose National Centre)
|
Superfield Approach to Symmetries for Matter Fields in Abelian Gauge
Theories
|
LaTeX file, 17 pages, journal-ref. given
|
J.Phys.A37:5261-5274,2004
|
10.1088/0305-4470/37/19/013
| null |
hep-th
| null |
The derivation of the nilpotent (anti-)BRST symmetries for the matter fields,
present in any arbitrary interacting gauge theory, has been an long-standing
problem in the framework of superfield approach to BRST formalism. These
nilpotent (anti-)BRST symmetries for the Dirac fields are derived in the
superfield formulation for the interacting Abelian gauge theory in four $(3 +
1)$-dimensions (4D) of spacetime. The same type of symmetries are deduced for
the 4D complex scalar fields having a gauge invariant interaction with the U(1)
gauge field. The above interacting theories are considered on the six $(4 +
2)$-dimensional supermanifold parametrized by four {\it even} spacetime
coordinates and a couple of {\it odd} elements of the Grassmann algebra. The
invariance of the conserved matter (super)currents and the horizontality
condition on the (super)manifolds play very important roles in the above
derivations. The geometrical origin and interpretation for all the above
off-shell nilpotent symmetries are provided in the framework of superfield
formalism.
|
[
{
"created": "Fri, 21 Nov 2003 13:23:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2003 13:23:26 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Apr 2004 10:41:47 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Apr 2004 10:26:44 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Malik",
"R. P.",
"",
"Bose National Centre"
]
] |
The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent (anti-)BRST symmetries for the Dirac fields are derived in the superfield formulation for the interacting Abelian gauge theory in four $(3 + 1)$-dimensions (4D) of spacetime. The same type of symmetries are deduced for the 4D complex scalar fields having a gauge invariant interaction with the U(1) gauge field. The above interacting theories are considered on the six $(4 + 2)$-dimensional supermanifold parametrized by four {\it even} spacetime coordinates and a couple of {\it odd} elements of the Grassmann algebra. The invariance of the conserved matter (super)currents and the horizontality condition on the (super)manifolds play very important roles in the above derivations. The geometrical origin and interpretation for all the above off-shell nilpotent symmetries are provided in the framework of superfield formalism.
|
2003.03301
|
Anirban Basu
|
Anirban Basu
|
Worldsheet (anti)instanton bound states in type II on $T^2$
|
14 pages, LaTeX, v2 supersedes published version
| null |
10.1007/JHEP04(2020)168
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified
on $T^2$ receives contributions from worldsheet instantons and anti-instantons
wrapping the $T^2$, up to genus three in string perturbation theory. These
involve contributions separately from bound states of instantons and
anti-instantons, which are qualitatively similar to such contributions to the
1/2 and 1/4 BPS couplings. At genus two, the $D^6\mathcal{R}^4$ coupling also
receives contributions from instanton/anti-instanton bound states unlike the
1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant
eigenvalue equation a term in the coupling satisfies. We solve this eigenvalue
equation to obtain the complete structure of the worldsheet (anti)instanton
contributions. In the type IIB theory, strong weak coupling duality leads to
certain contributions involving bound states of D string (anti)instantons
wrapping the $T^2$.
|
[
{
"created": "Fri, 6 Mar 2020 16:31:41 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 2021 20:55:13 GMT",
"version": "v2"
}
] |
2021-07-05
|
[
[
"Basu",
"Anirban",
""
]
] |
The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified on $T^2$ receives contributions from worldsheet instantons and anti-instantons wrapping the $T^2$, up to genus three in string perturbation theory. These involve contributions separately from bound states of instantons and anti-instantons, which are qualitatively similar to such contributions to the 1/2 and 1/4 BPS couplings. At genus two, the $D^6\mathcal{R}^4$ coupling also receives contributions from instanton/anti-instanton bound states unlike the 1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant eigenvalue equation a term in the coupling satisfies. We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions. In the type IIB theory, strong weak coupling duality leads to certain contributions involving bound states of D string (anti)instantons wrapping the $T^2$.
|
hep-th/9404129
| null |
Aurelian Isar
|
Wigner distribution function and entropy of the damped harmonic
oscillator within the theory of open quantum systems
|
8 pages, Latex (Contribution to the Second Workshop on Harmonic
Oscillators, Cocoyoc, Mexico, March 23-25, 1994)
| null | null | null |
hep-th
| null |
The harmonic oscillator with dissipation is studied within the framework of
the Lindblad theory for open quantum systems. By using the Wang-Uhlenbeck
method, the Fokker-Planck equation, obtained from the master equation for the
density operator, is solved for the Wigner distribution function, subject to
either the Gaussian type or the $\delta$-function type of initial conditions.
The obtained Wigner functions are two-dimensional Gaussians with different
widths. Then a closed expression for the density operator is extracted. The
entropy of the system is subsequently calculated and its temporal behaviour
shows that this quantity relaxes to its equilibrium value.
|
[
{
"created": "Thu, 21 Apr 1994 07:24:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Isar",
"Aurelian",
""
]
] |
The harmonic oscillator with dissipation is studied within the framework of the Lindblad theory for open quantum systems. By using the Wang-Uhlenbeck method, the Fokker-Planck equation, obtained from the master equation for the density operator, is solved for the Wigner distribution function, subject to either the Gaussian type or the $\delta$-function type of initial conditions. The obtained Wigner functions are two-dimensional Gaussians with different widths. Then a closed expression for the density operator is extracted. The entropy of the system is subsequently calculated and its temporal behaviour shows that this quantity relaxes to its equilibrium value.
|
0910.3150
|
Pisin Chen
|
Shu-heng Shao, Pisin Chen, Je-An Gu
|
Stress-Energy Tensor Induced by Bulk Dirac Spinor in Randall-Sundrum
Model
|
7 pages with 2 figures
|
Phys.Rev.D81:084036,2010
|
10.1103/PhysRevD.81.084036
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the possible extension into a supersymmetric Randall-Sundrum
(RS) model, we investigate the properties of the vacuum expectation value (VEV)
of the stress-energy tensor for a quantized bulk Dirac spinor field in the RS
geometry and compare it with that for a real scalar field. This is carried out
via the Green function method based on first principles without invoking the
degeneracy factor, whose validity in a warp geometry is a priori unassured. In
addition, we investigate the local behavior of the Casimir energy near the two
branes. One salient feature we found is that the surface divergences near the
two branes have opposite signs. We argue that this is a generic feature of the
fermionic Casimir energy density due to its parity transformation in the fifth
dimension. Furthermore, we investigate the self-consistency of the RS metric
under the quantum correction due to the stress-energy tensor. It is shown that
the VEV of the stress-energy tensor and the classical one become comparable
near the visible brane if k ~ M ~ M_Pl (the requirement of no hierarchy
problem), where k is the curvature of the RS warped geometry and M the
5-dimensional Planck mass. In that case the self-consistency of RS model that
includes bulk fields is in doubt. If, however, k <~ M, then an approximate
self-consistency of the RS-type metric may still be satisfied.
|
[
{
"created": "Fri, 16 Oct 2009 16:09:09 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 2010 15:00:39 GMT",
"version": "v2"
}
] |
2016-11-25
|
[
[
"Shao",
"Shu-heng",
""
],
[
"Chen",
"Pisin",
""
],
[
"Gu",
"Je-An",
""
]
] |
Motivated by the possible extension into a supersymmetric Randall-Sundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stress-energy tensor for a quantized bulk Dirac spinor field in the RS geometry and compare it with that for a real scalar field. This is carried out via the Green function method based on first principles without invoking the degeneracy factor, whose validity in a warp geometry is a priori unassured. In addition, we investigate the local behavior of the Casimir energy near the two branes. One salient feature we found is that the surface divergences near the two branes have opposite signs. We argue that this is a generic feature of the fermionic Casimir energy density due to its parity transformation in the fifth dimension. Furthermore, we investigate the self-consistency of the RS metric under the quantum correction due to the stress-energy tensor. It is shown that the VEV of the stress-energy tensor and the classical one become comparable near the visible brane if k ~ M ~ M_Pl (the requirement of no hierarchy problem), where k is the curvature of the RS warped geometry and M the 5-dimensional Planck mass. In that case the self-consistency of RS model that includes bulk fields is in doubt. If, however, k <~ M, then an approximate self-consistency of the RS-type metric may still be satisfied.
|
2205.06245
|
Dario Partipilo
|
Dario Partipilo
|
New methods for old problems: vacua of maximal D = 7 supergravities
| null |
J. High Energ. Phys. 2022, 96 (2022)
|
10.1007/JHEP09(2022)096
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Finding vacua of supergravity theories is an outstanding problem which has
been tackled in several ways, and with this work we add a new method to the
puzzle. We analyse the scalar sector of maximal gauged supergravity theories in
seven space-time dimensions. We look for vacua of the theory by varying the
embedding tensor, instead of directly minimising the scalar potential. The set
of quadratic constraints arising from this procedure has been solved by means
of Evolution Strategies optimisation techniques, also adopted in Artificial
Intelligence studies. We develop some methods to reconstruct and obtain
analytical results starting from numerical outcomes, thus obtaining the
complete mass spectra. In addition to some of the known vacua, we also obtain
two new Minkowski vacua.
|
[
{
"created": "Thu, 12 May 2022 17:44:36 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2022 10:20:33 GMT",
"version": "v2"
}
] |
2022-10-06
|
[
[
"Partipilo",
"Dario",
""
]
] |
Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven space-time dimensions. We look for vacua of the theory by varying the embedding tensor, instead of directly minimising the scalar potential. The set of quadratic constraints arising from this procedure has been solved by means of Evolution Strategies optimisation techniques, also adopted in Artificial Intelligence studies. We develop some methods to reconstruct and obtain analytical results starting from numerical outcomes, thus obtaining the complete mass spectra. In addition to some of the known vacua, we also obtain two new Minkowski vacua.
|
hep-th/9708063
|
Djordje Minic
|
P. Berglund and D. Minic
|
A Note on Effective Lagrangians in Matrix Theory
|
7 pages, use harvmac. References added
|
Phys.Lett.B415:122-126,1997
|
10.1016/S0370-2693(97)01257-4
| null |
hep-th
| null |
We study the relation between the effective Lagrangian in Matrix Theory and
eleven dimensional supergravity. In particular, we provide a relationship
between supergravity operators and the corresponding terms in the
post-Newtonian approximation of Matrix Theory.
|
[
{
"created": "Mon, 11 Aug 1997 19:43:53 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 1997 21:59:40 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Berglund",
"P.",
""
],
[
"Minic",
"D.",
""
]
] |
We study the relation between the effective Lagrangian in Matrix Theory and eleven dimensional supergravity. In particular, we provide a relationship between supergravity operators and the corresponding terms in the post-Newtonian approximation of Matrix Theory.
|
hep-th/0212274
|
Bo Feng
|
Bo Feng
|
Note on Matrix Model with Massless Flavors
|
10 pages. Type fixed. Remarks added
|
Phys.Rev.D68:025010,2003
|
10.1103/PhysRevD.68.025010
| null |
hep-th
| null |
In this note, following the work of Seiberg in hep-th/0211234 for the
conjecture between the field theory and matrix model in the case with massive
fundamental flavors, we generalize it to the case with massless fundamental
flavors. We show that with a little modifications, the analysis given by
Seiberg can be used directly to the case of massless flavors. Furthermore, this
new method explains the insertion of delta functions in the matrix model given
by Demasure and Janik in hep-th/0211082.
|
[
{
"created": "Sat, 21 Dec 2002 02:43:09 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2003 18:08:17 GMT",
"version": "v2"
}
] |
2010-12-03
|
[
[
"Feng",
"Bo",
""
]
] |
In this note, following the work of Seiberg in hep-th/0211234 for the conjecture between the field theory and matrix model in the case with massive fundamental flavors, we generalize it to the case with massless fundamental flavors. We show that with a little modifications, the analysis given by Seiberg can be used directly to the case of massless flavors. Furthermore, this new method explains the insertion of delta functions in the matrix model given by Demasure and Janik in hep-th/0211082.
|
1210.0554
|
Luca Lopez
|
L. Lopez
|
On cubic AdS interactions of mixed-symmetry higher spins
|
5 pages. Based in part on talk presented at Conference QFTG 2012, 31
Jul - 4 Aug 2012. Tomsk, Russia. To appear in Tomsk State Pedagogical
University Bulletin. References added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of finding consistent cubic AdS interactions of massless
mixed-symmetry higher-spin fields is recast into a system of partial
differential equations that can be solved for given spins of the particles
entering the cubic vertices. For simplicity, we consider fields with two
families of indices for which some examples of interactions are explicitly
discussed.
|
[
{
"created": "Mon, 1 Oct 2012 20:08:04 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2012 06:46:30 GMT",
"version": "v2"
}
] |
2012-10-16
|
[
[
"Lopez",
"L.",
""
]
] |
The problem of finding consistent cubic AdS interactions of massless mixed-symmetry higher-spin fields is recast into a system of partial differential equations that can be solved for given spins of the particles entering the cubic vertices. For simplicity, we consider fields with two families of indices for which some examples of interactions are explicitly discussed.
|
hep-th/9706164
|
Azizollah Shafiekhani
|
A. Shafiekhani and M. Khorrami
|
Exactly and Quasi-Exactly Solvable Models on the Basis of $osp(2|1)$
|
8 pages, LaTex, no figures, The version to be appeared in Mod. Phys.
Lett. A
|
Mod.Phys.Lett. A12 (1997) 1655-1661
|
10.1142/S0217732397001680
|
IPM-97-208
|
hep-th
| null |
The exactly and quasi-exactly solvable problems for spin one-half in one
dimension on the basis of a hidden dynamical symmetry algebra of Hamiltonian
are discussed. We take the supergroup, $OSP(2|1)$, as such a symmetry. A number
of exactly solvable examples are considered and their spectrum are evaluated
explicitly. Also, a class of quasi-exactly solvable problems on the basis of
such a symmetry has been obtained.
|
[
{
"created": "Tue, 24 Jun 1997 06:46:28 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Shafiekhani",
"A.",
""
],
[
"Khorrami",
"M.",
""
]
] |
The exactly and quasi-exactly solvable problems for spin one-half in one dimension on the basis of a hidden dynamical symmetry algebra of Hamiltonian are discussed. We take the supergroup, $OSP(2|1)$, as such a symmetry. A number of exactly solvable examples are considered and their spectrum are evaluated explicitly. Also, a class of quasi-exactly solvable problems on the basis of such a symmetry has been obtained.
|
hep-th/0409208
|
Emil Nissimov
|
Eduardo Guendelman and Alexander Kaganovich (Ben-Gurion University,
Beer-Sheva, Israel), Emil Nissimov and Svetlana Pacheva (Institute for
Nuclear Research and Nuclear Energy, Sofia, Bulgaria)
|
Novel Aspects in p-Brane Theories: Weyl-Invariant Light-Like Branes
|
To appear in the proceedings of the "Second Workshop on Gravity,
Astrophysics and Strings", P. Fiziev et.al. (eds), Sofia Univ. Press(2005);
few signs and factors corrected
|
"Second Workshop on Gravity, Astrophysics and Strings",
pp.170-182, P. Fiziev et.al. (eds), Sofia Univ. Press(2005)
| null |
INRNE-Sep-20/2004
|
hep-th gr-qc
| null |
We consider a novel class of Weyl-conformally invariant p-brane theories
which describe intrinsically light-like branes for any odd world-volume
dimension, hence the acronym WILL-branes (Weyl-Invariant Light-Like branes). We
discuss in some detail the properties of WILL-brane dynamics which
significantly differs from ordinary Nambu-Goto brane dynamics. We provide
explicit solutions of WILL-membrane (i.e., p=2) equations of motion in
arbitrary D=4 spherically symmetric static gravitational backgrounds, as well
as in product spaces of interest in Kaluza-Klein context. In the first case we
find that the WILL-membrane materializes the event horizon of the corresponding
black hole solutions, thus providing an explicit dynamical realization of the
membrane paradigm in black hole physics. In the second "Kaluza-Klein" context
we find solutions describing WILL-branes wrapped around the internal (compact)
dimensions and moving as a whole with the speed of light in the non-compact
(space-time) dimensions.
|
[
{
"created": "Mon, 20 Sep 2004 18:21:20 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Oct 2004 06:46:58 GMT",
"version": "v2"
},
{
"created": "Fri, 13 May 2005 14:52:40 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2005 07:29:38 GMT",
"version": "v4"
}
] |
2011-09-27
|
[
[
"Guendelman",
"Eduardo",
"",
"Ben-Gurion University,\n Beer-Sheva, Israel"
],
[
"Kaganovich",
"Alexander",
"",
"Ben-Gurion University,\n Beer-Sheva, Israel"
],
[
"Nissimov",
"Emil",
"",
"Institute for\n Nuclear Research and Nuclear Energy, Sofia, Bulgaria"
],
[
"Pacheva",
"Svetlana",
"",
"Institute for\n Nuclear Research and Nuclear Energy, Sofia, Bulgaria"
]
] |
We consider a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension, hence the acronym WILL-branes (Weyl-Invariant Light-Like branes). We discuss in some detail the properties of WILL-brane dynamics which significantly differs from ordinary Nambu-Goto brane dynamics. We provide explicit solutions of WILL-membrane (i.e., p=2) equations of motion in arbitrary D=4 spherically symmetric static gravitational backgrounds, as well as in product spaces of interest in Kaluza-Klein context. In the first case we find that the WILL-membrane materializes the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics. In the second "Kaluza-Klein" context we find solutions describing WILL-branes wrapped around the internal (compact) dimensions and moving as a whole with the speed of light in the non-compact (space-time) dimensions.
|
hep-th/0109106
|
Michel Rausch
|
M. Rausch de Traubenberg
|
Fractional Supersymmetry and Infinite Dimensional Lie Algebras
|
8 pages, D.V.Volkov Memorial Conference ``Supersymmetry and Quantum
Field Theory'', Kharkov, July 25-29, 2000), two figures
|
Nucl.Phys.Proc.Suppl.102:256-263,2001
|
10.1016/S0920-5632(01)01564-X
|
PM/01-09
|
hep-th math-ph math.MP math.RT
| null |
In an earlier work extensions of supersymmetry and super Lie algebras were
constructed consistently starting from any representation $\D$ of any Lie
algebra $\g$. Here it is shown how infinite dimensional Lie algebras appear
naturally within the framework of fractional supersymmetry. Using a
differential realization of $\g$ this infinite dimensional Lie algebra,
containing the Lie algebra $\g$ as a sub-algebra, is explicitly constructed.
|
[
{
"created": "Thu, 13 Sep 2001 14:11:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"de Traubenberg",
"M. Rausch",
""
]
] |
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation $\D$ of any Lie algebra $\g$. Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of $\g$ this infinite dimensional Lie algebra, containing the Lie algebra $\g$ as a sub-algebra, is explicitly constructed.
|
1709.09756
|
Oswaldo Monteiro Del Cima
|
O.M. Del Cima, D.H.T. Franco and O. Piguet
|
No radiative generation of Chern-Simons-like term in Lorentz-violating
QED: dealing with IR divergences
|
In honor of Prof. Manfred Schweda (1939-2017). Work presented at the
XXXVIII National Meeting on Particle Physics and Fields, September 18-22,
2017 - Passa Quatro - Minas Gerais - Brazil. Reference [46] corrected
|
JHEP11(2017)011
|
10.1007/JHEP11(2017)011
| null |
hep-th hep-ph math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The issue intensively claimed in the literature on the generation of a
CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections
owing to a CPT violating interaction -- the axial coupling of fermions with a
constant vector field $b_\m$ -- is mistaken. The presence of massless gauge
field triggers IR divergences that might show up from the UV subtractions,
therefore, so as to deal with the (actual physical) IR divergences, the
Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL
renormalization method, has to be adopted. The proof on the non generation of
such a Chern-Simons-like term is done, independent of any kind of
regularization scheme, at all orders in perturbation theory.
|
[
{
"created": "Wed, 27 Sep 2017 22:55:06 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2017 23:07:09 GMT",
"version": "v2"
}
] |
2017-11-13
|
[
[
"Del Cima",
"O. M.",
""
],
[
"Franco",
"D. H. T.",
""
],
[
"Piguet",
"O.",
""
]
] |
The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction -- the axial coupling of fermions with a constant vector field $b_\m$ -- is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory.
|
hep-th/9111043
|
Tjark Tjin
|
T.Tjin
|
An introduction to quantized Lie groups and algebras
|
38 pages
|
Int.J.Mod.Phys. A7 (1992) 6175-6213
|
10.1142/S0217751X92002805
| null |
hep-th
| null |
We give a selfcontained introduction to the theory of quantum groups
according to Drinfeld highlighting the formal aspects as well as the
applications to the Yang-Baxter equation and representation theory.
Introductions to Hopf algebras, Poisson structures and deformation quantization
are also provided. After having defined Poisson-Lie groups we study their
relation to Lie-bi algebras and the classical Yang-Baxter equation. Then we
explain in detail the concept of quantization for them. As an example the
quantization of $sl_2$ is explicitly carried out. Next we show how quantum
groups are related to the Yang-Baxter equation and how they can be used to
solve it. Using the quantum double construction we explicitly construct the
universal $R$-matrix for the quantum $sl_2$ algebra. In the last section we
deduce all finite dimensional irreducible representations for $q$ a root of
unity. We also give their tensor product decomposition (fusion rules) which is
relevant to conformal field theory.
|
[
{
"created": "Thu, 21 Nov 1991 14:18:58 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 1991 13:24:09 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Tjin",
"T.",
""
]
] |
We give a selfcontained introduction to the theory of quantum groups according to Drinfeld highlighting the formal aspects as well as the applications to the Yang-Baxter equation and representation theory. Introductions to Hopf algebras, Poisson structures and deformation quantization are also provided. After having defined Poisson-Lie groups we study their relation to Lie-bi algebras and the classical Yang-Baxter equation. Then we explain in detail the concept of quantization for them. As an example the quantization of $sl_2$ is explicitly carried out. Next we show how quantum groups are related to the Yang-Baxter equation and how they can be used to solve it. Using the quantum double construction we explicitly construct the universal $R$-matrix for the quantum $sl_2$ algebra. In the last section we deduce all finite dimensional irreducible representations for $q$ a root of unity. We also give their tensor product decomposition (fusion rules) which is relevant to conformal field theory.
|
0906.4746
|
Oleksandr Gamayun
|
O. Gamayun, A.S. Losev, A. Marshakov
|
First Order String Theory and the Kodaira-Spencer Equations. I
|
13 pages, 2 figures
|
JHEP 0909:028,2009
|
10.1088/1126-6708/2009/09/028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider first-order bosonic string theory, perturbed by the primary
operator, corresponding to deformation of the target-space complex structure.
We compute the effective action in this theory and find that its consistency
with the world-sheet conformal invariance requires necessarily the
Kodaira-Spencer equations to be satisfied by target-space Beltrami
differentials. We discuss the symmetries of the theory and its reformulation in
terms of the vielbein background fields.
|
[
{
"created": "Thu, 25 Jun 2009 16:50:37 GMT",
"version": "v1"
}
] |
2009-09-28
|
[
[
"Gamayun",
"O.",
""
],
[
"Losev",
"A. S.",
""
],
[
"Marshakov",
"A.",
""
]
] |
We consider first-order bosonic string theory, perturbed by the primary operator, corresponding to deformation of the target-space complex structure. We compute the effective action in this theory and find that its consistency with the world-sheet conformal invariance requires necessarily the Kodaira-Spencer equations to be satisfied by target-space Beltrami differentials. We discuss the symmetries of the theory and its reformulation in terms of the vielbein background fields.
|
1505.05526
|
Hagen Triendl
|
Hagen Triendl
|
Consistent truncations of M-theory for general SU(2) structures
|
32 pages; v2: published version
|
JHEP 1509 (2015) 068
|
10.1007/JHEP09(2015)068
|
CERN-PH-TH/2015-120
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In seven dimensions any spin manifold admits an SU(2) structure and therefore
very general M-theory compactifications have the potential to allow for a
reduction to N=4 gauged supergravity. We perform this general SU(2) reduction
and give the relation of SU(2) torsion classes and fluxes to gaugings in the
N=4 theory. We furthermore show explicitly that this reduction is a consistent
truncation of the eleven-dimensional theory, in other words classical solutions
of the reduced theory also solve the eleven-dimensional equations of motion.
This reduction generalizes previous M-theory reductions on Tri-Sasakian
manifolds and type IIA reductions on Calabi-Yau manifolds of vanishing Euler
number. Moreover, it can also be applied to compactifications on certain G2
holonomy manifolds and to more general flux backgrounds.
|
[
{
"created": "Wed, 20 May 2015 20:24:39 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 12:18:20 GMT",
"version": "v2"
}
] |
2015-11-05
|
[
[
"Triendl",
"Hagen",
""
]
] |
In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give the relation of SU(2) torsion classes and fluxes to gaugings in the N=4 theory. We furthermore show explicitly that this reduction is a consistent truncation of the eleven-dimensional theory, in other words classical solutions of the reduced theory also solve the eleven-dimensional equations of motion. This reduction generalizes previous M-theory reductions on Tri-Sasakian manifolds and type IIA reductions on Calabi-Yau manifolds of vanishing Euler number. Moreover, it can also be applied to compactifications on certain G2 holonomy manifolds and to more general flux backgrounds.
|
1308.0329
|
Andrew Lucas
|
Paul Chesler, Andrew Lucas, Subir Sachdev
|
Conformal field theories in a periodic potential: results from
holography and field theory
|
42 pages, 22 figures; v2: more references; v3: published version
|
Phys. Rev. D 89, 026005 (2014)
|
10.1103/PhysRevD.89.026005
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study 2+1 dimensional conformal field theories (CFTs) with a globally
conserved U(1) charge, placed in a chemical potential which is periodically
modulated along the spatial direction $x$ with zero average: $\mu(x) = V
\cos(kx)$. The dynamics of such theories depends only on the dimensionless
ratio $V/k$, and we expect that they flow in the infrared to new CFTs whose
universality class changes as a function of $V/k$. We compute the
frequency-dependent conductivity of strongly-coupled CFTs using holography of
the Einstein-Maxwell theory in 4-dimensional anti-de Sitter space. We compare
the results with the corresponding computation of weakly-coupled CFTs,
perturbed away from the CFT of free, massless Dirac fermions (which describes
graphene at low energies). We find that the results of the two computations
have significant qualitative similarities. However, differences do appear in
the vicinities of an infinite discrete set of values of $V/k$: the universality
class of the infrared CFT changes at these values in the weakly-coupled theory,
by the emergence of new zero modes of Dirac fermions which are remnants of
local Fermi surfaces. The infrared theory changes continuously in holography,
and the classical gravitational theory does not capture the physics of the
discrete transition points between the infrared CFTs. We briefly note
implications for a non-zero average chemical potential.
|
[
{
"created": "Thu, 1 Aug 2013 20:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2013 01:59:07 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jan 2014 11:50:49 GMT",
"version": "v3"
}
] |
2014-01-29
|
[
[
"Chesler",
"Paul",
""
],
[
"Lucas",
"Andrew",
""
],
[
"Sachdev",
"Subir",
""
]
] |
We study 2+1 dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction $x$ with zero average: $\mu(x) = V \cos(kx)$. The dynamics of such theories depends only on the dimensionless ratio $V/k$, and we expect that they flow in the infrared to new CFTs whose universality class changes as a function of $V/k$. We compute the frequency-dependent conductivity of strongly-coupled CFTs using holography of the Einstein-Maxwell theory in 4-dimensional anti-de Sitter space. We compare the results with the corresponding computation of weakly-coupled CFTs, perturbed away from the CFT of free, massless Dirac fermions (which describes graphene at low energies). We find that the results of the two computations have significant qualitative similarities. However, differences do appear in the vicinities of an infinite discrete set of values of $V/k$: the universality class of the infrared CFT changes at these values in the weakly-coupled theory, by the emergence of new zero modes of Dirac fermions which are remnants of local Fermi surfaces. The infrared theory changes continuously in holography, and the classical gravitational theory does not capture the physics of the discrete transition points between the infrared CFTs. We briefly note implications for a non-zero average chemical potential.
|
hep-th/0507082
|
Soo-Jong Rey
|
Soo-Jong Rey, Yasuaki Hikida
|
5d Black Hole as Emergent Geometry of Weakly Interacting 4d Hot
Yang-Mills Gas
|
Latex, 3 .eps figures; v2. typos corrected + minor changes
|
JHEP 0608 (2006) 051
|
10.1088/1126-6708/2006/08/051
| null |
hep-th
| null |
We demonstrate five-dimensional anti-de Sitter black hole emerges as dual
geometry holographic to weakly interacting N=4 superconformal Yang-Mills
theory. We first note that an ideal probe of the dual geometry is the
Yang-Mills instanton, probing point by point in spacetime. We then study
instanton moduli space at finite temperature by adopting Hitchin's proposal
that geometry of the moduli space is definable by Fisher-Rao "information
geometry". In Yang-Mills theory, the information metric is measured by a novel
class of gauge-invariant, nonlocal operators in the instanton sector. We show
that the moduli space metric exhibits (1) asymptotically anti-de Sitter, (2)
horizon at radial distance set by the Yang-Mills temperature, and (3) after
Wick rotation of the moduli space to the Lorentzian signature, a singularity at
the origin. We argue that the dual geometry emerges even for rank of gauge
groups of order unity and for weak `t Hooft coupling.
|
[
{
"created": "Thu, 7 Jul 2005 20:02:29 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2006 14:17:56 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Rey",
"Soo-Jong",
""
],
[
"Hikida",
"Yasuaki",
""
]
] |
We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N=4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao "information geometry". In Yang-Mills theory, the information metric is measured by a novel class of gauge-invariant, nonlocal operators in the instanton sector. We show that the moduli space metric exhibits (1) asymptotically anti-de Sitter, (2) horizon at radial distance set by the Yang-Mills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak `t Hooft coupling.
|
1609.06562
|
Jochen Zahn
|
Alexander Schenkel, Jochen Zahn
|
Global anomalies on Lorentzian space-times
|
v2: Final version published in Annales Henri Poincare
|
Annales Henri Poincare 18 (2017) 2693
|
10.1007/s00023-017-0590-1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate an algebraic criterion for the presence of global anomalies on
globally hyperbolic space-times in the framework of locally covariant field
theory. We discuss some consequences and check that it reproduces the
well-known global $SU(2)$ anomaly in four space-time dimensions.
|
[
{
"created": "Wed, 21 Sep 2016 13:55:44 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2017 14:16:35 GMT",
"version": "v2"
}
] |
2017-07-20
|
[
[
"Schenkel",
"Alexander",
""
],
[
"Zahn",
"Jochen",
""
]
] |
We formulate an algebraic criterion for the presence of global anomalies on globally hyperbolic space-times in the framework of locally covariant field theory. We discuss some consequences and check that it reproduces the well-known global $SU(2)$ anomaly in four space-time dimensions.
|
1708.00963
|
Kiyoshi Shiraishi
|
Kiyoshi Shiraishi and Atsushi Nakamula
|
Aharonov-Bohm Scattering by Vortices of Dimensionally-Reduced Yang-Mills
Field
|
5 pages, no figure
|
Czechoslovak Journal of Physics 42, No. 3, pp. 285-289 (1992)
|
10.1007/BF01598425
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If two dimensions of six-dimensional space-time are compactified, a
topological configuration of Yang-Mills gauge field appears as a cosmic string
in four dimensions, whose thickness is of the same order as the size of the
compact space. We consider scattering of low-energy fermions by this object.
|
[
{
"created": "Thu, 3 Aug 2017 01:13:36 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Sep 2019 06:46:09 GMT",
"version": "v2"
}
] |
2019-09-30
|
[
[
"Shiraishi",
"Kiyoshi",
""
],
[
"Nakamula",
"Atsushi",
""
]
] |
If two dimensions of six-dimensional space-time are compactified, a topological configuration of Yang-Mills gauge field appears as a cosmic string in four dimensions, whose thickness is of the same order as the size of the compact space. We consider scattering of low-energy fermions by this object.
|
hep-th/0505106
|
Stefano Bellucci
|
S. Bellucci, A. Marrani
|
Non-planar spin bits beyond two loops
|
30 pages, no figures, PACS numbers: 11.15.Pg; 11.15.-q; 11.25.Hf;
extensive revisions in Section 4, including complete parameter fixing;
conclusions improved; moved subsection on spin-edge differences Ansaetze in
appendix III; a few references added
| null | null | null |
hep-th
| null |
We study higher-loop orders of spin bit models underlying the non-planar
dynamics of $\mathcal{N}=4$ SYM gauge theory. In particular, we derive a
''tower'' of non-planar identities involving products of site permutation
operators. Such identities are then applied in the formulation of planarly
consistent, testable conjectures for the full non-planar, higher-loop
Hamiltonian of the $su(2)$ spin-chain.
|
[
{
"created": "Thu, 12 May 2005 09:16:29 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2005 06:43:33 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bellucci",
"S.",
""
],
[
"Marrani",
"A.",
""
]
] |
We study higher-loop orders of spin bit models underlying the non-planar dynamics of $\mathcal{N}=4$ SYM gauge theory. In particular, we derive a ''tower'' of non-planar identities involving products of site permutation operators. Such identities are then applied in the formulation of planarly consistent, testable conjectures for the full non-planar, higher-loop Hamiltonian of the $su(2)$ spin-chain.
|
hep-th/0503246
|
Jesper M. Grimstrup
|
Johannes Aastrup and Jesper M. Grimstrup
|
Spectral triples of holonomy loops
|
36 pages, material added, references added, version accepted for
publication in Communications in Mathematical Physics
|
Commun.Math.Phys. 264 (2006) 657-681
|
10.1007/s00220-006-1552-5
| null |
hep-th gr-qc
| null |
The machinery of noncommutative geometry is applied to a space of
connections. A noncommutative function algebra of loops closely related to
holonomy loops is investigated. The space of connections is identified as a
projective limit of Lie-groups composed of copies of the gauge group. A
spectral triple over the space of connections is obtained by factoring out the
diffeomorphism group. The triple consist of equivalence classes of loops acting
on a separable hilbert space of sections in an infinite dimensional Clifford
bundle. We find that the Dirac operator acting on this hilbert space does not
fully comply with the axioms of a spectral triple.
|
[
{
"created": "Thu, 31 Mar 2005 17:28:47 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2006 12:30:33 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Aastrup",
"Johannes",
""
],
[
"Grimstrup",
"Jesper M.",
""
]
] |
The machinery of noncommutative geometry is applied to a space of connections. A noncommutative function algebra of loops closely related to holonomy loops is investigated. The space of connections is identified as a projective limit of Lie-groups composed of copies of the gauge group. A spectral triple over the space of connections is obtained by factoring out the diffeomorphism group. The triple consist of equivalence classes of loops acting on a separable hilbert space of sections in an infinite dimensional Clifford bundle. We find that the Dirac operator acting on this hilbert space does not fully comply with the axioms of a spectral triple.
|
1706.07056
|
Masamichi Miyaji
|
Pawel Caputa, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi and
Kento Watanabe
|
Liouville Action as Path-Integral Complexity: From Continuous Tensor
Networks to AdS/CFT
|
63 pages, 10 figures
| null |
10.1007/JHEP11(2017)097
|
YITP-17-65, IPMU17-0091
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an optimization procedure for Euclidean path-integrals that
evaluate CFT wave functionals in arbitrary dimensions. The optimization is
performed by minimizing certain functional, which can be interpreted as a
measure of computational complexity, with respect to background metrics for the
path-integrals. In two dimensional CFTs, this functional is given by the
Liouville action. We also formulate the optimization for higher dimensional
CFTs and, in various examples, find that the optimized hyperbolic metrics
coincide with the time slices of expected gravity duals. Moreover, if we
optimize a reduced density matrix, the geometry becomes two copies of the
entanglement wedge and reproduces the holographic entanglement entropy. Our
approach resembles a continuous tensor network renormalization and provides a
concrete realization of the proposed interpretation of AdS/CFT as tensor
networks. The present paper is an extended version of our earlier report
arXiv:1703.00456 and includes many new results such as evaluations of
complexity functionals, energy stress tensor, higher dimensional extensions and
time evolutions of thermofield double states.
|
[
{
"created": "Wed, 21 Jun 2017 18:00:04 GMT",
"version": "v1"
}
] |
2017-12-06
|
[
[
"Caputa",
"Pawel",
""
],
[
"Kundu",
"Nilay",
""
],
[
"Miyaji",
"Masamichi",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Watanabe",
"Kento",
""
]
] |
We propose an optimization procedure for Euclidean path-integrals that evaluate CFT wave functionals in arbitrary dimensions. The optimization is performed by minimizing certain functional, which can be interpreted as a measure of computational complexity, with respect to background metrics for the path-integrals. In two dimensional CFTs, this functional is given by the Liouville action. We also formulate the optimization for higher dimensional CFTs and, in various examples, find that the optimized hyperbolic metrics coincide with the time slices of expected gravity duals. Moreover, if we optimize a reduced density matrix, the geometry becomes two copies of the entanglement wedge and reproduces the holographic entanglement entropy. Our approach resembles a continuous tensor network renormalization and provides a concrete realization of the proposed interpretation of AdS/CFT as tensor networks. The present paper is an extended version of our earlier report arXiv:1703.00456 and includes many new results such as evaluations of complexity functionals, energy stress tensor, higher dimensional extensions and time evolutions of thermofield double states.
|
hep-th/9907198
|
Deritis
|
R. de Ritis, A. A. Marino, C. Rubano, P. Scudellaro
|
Tracker fields from nonminimally coupled theory
|
17 pages, submitted to Physical Review D
|
Phys.Rev.D62:043506,2000
|
10.1103/PhysRevD.62.043506
| null |
hep-th
| null |
We extend the concept of quintessence to a flat nonminimally coupled scalar -
tensor theories of gravity. By means of Noether's symmetries for the
cosmological pointlike Lagrangian L, it is possible to exhibit exact solutions
for a class of models depending on a free parameter s. This parameter comes out
in the relationship existing between the coupling F(\phi) and the potential
V(\phi) because of such a symmetry for L. When inverse power law potentials are
taken in account, a whole family of exact solutions parametrized by such an s
is proposed as a class of tracker fields, and some considerations are made
about them.
|
[
{
"created": "Tue, 27 Jul 1999 14:12:01 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"de Ritis",
"R.",
""
],
[
"Marino",
"A. A.",
""
],
[
"Rubano",
"C.",
""
],
[
"Scudellaro",
"P.",
""
]
] |
We extend the concept of quintessence to a flat nonminimally coupled scalar - tensor theories of gravity. By means of Noether's symmetries for the cosmological pointlike Lagrangian L, it is possible to exhibit exact solutions for a class of models depending on a free parameter s. This parameter comes out in the relationship existing between the coupling F(\phi) and the potential V(\phi) because of such a symmetry for L. When inverse power law potentials are taken in account, a whole family of exact solutions parametrized by such an s is proposed as a class of tracker fields, and some considerations are made about them.
|
1705.05002
|
Gautam Sengupta
|
Pankaj Chaturvedi, Sayid Mondal and Gautam Sengupta
|
Thermodynamic Geometry of Black Holes in the Canonical Ensemble
|
17 pages Latex, 8 figures
|
Phys. Rev. D 98, 086016 (2018)
|
10.1103/PhysRevD.98.086016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the thermodynamics and critical phenomena for four dimensional
RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal
and the extended phase space employing the framework of thermodynamic geometry.
The thermodynamic scalar curvatures for these black holes characterizes the
liquid-gas like first order phase transition analogous to the van der Waals
fluids, through the $R$-Crossing Method. It is also shown that the
thermodynamic scalar curvatures diverge as a function of the temperature at the
critical point.
|
[
{
"created": "Sun, 14 May 2017 17:01:24 GMT",
"version": "v1"
}
] |
2018-10-23
|
[
[
"Chaturvedi",
"Pankaj",
""
],
[
"Mondal",
"Sayid",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
We investigate the thermodynamics and critical phenomena for four dimensional RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal and the extended phase space employing the framework of thermodynamic geometry. The thermodynamic scalar curvatures for these black holes characterizes the liquid-gas like first order phase transition analogous to the van der Waals fluids, through the $R$-Crossing Method. It is also shown that the thermodynamic scalar curvatures diverge as a function of the temperature at the critical point.
|
1212.1467
|
Christopher Beem
|
Christopher Beem and Abhijit Gadde
|
The superconformal index of N=1 class S fixed points
|
28 pages, 4 figures
|
JHEP 04 (2014) 036
|
10.1007/JHEP04(2014)036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the superconformal index of four-dimensional N=1
superconformal field theories that arise on coincident M5 branes wrapping a
holomorphic curve in a local Calabi-Yau three-fold. The structure of the index
is very similar to that which appears in the special case preserving N=2
supersymmetry. We first compute the index for the fixed points that admit a
known four-dimensional ultraviolet description and prove infrared equivalence
at the level of the index for all such constructions. These results suggest a
formulation of the index as a two-dimensional topological quantum field theory
that generalizes the one that computes the N=2 index. The TQFT structure leads
to an expression for the index of all class S fixed points in terms of the
index of the N=2 theories. Calculations of spectral data using the index
suggests a connection between these families of fixed points and the
mathematics of SU(2) Yang-Mills theory on the wrapped curve.
|
[
{
"created": "Thu, 6 Dec 2012 21:03:21 GMT",
"version": "v1"
}
] |
2014-04-09
|
[
[
"Beem",
"Christopher",
""
],
[
"Gadde",
"Abhijit",
""
]
] |
We investigate the superconformal index of four-dimensional N=1 superconformal field theories that arise on coincident M5 branes wrapping a holomorphic curve in a local Calabi-Yau three-fold. The structure of the index is very similar to that which appears in the special case preserving N=2 supersymmetry. We first compute the index for the fixed points that admit a known four-dimensional ultraviolet description and prove infrared equivalence at the level of the index for all such constructions. These results suggest a formulation of the index as a two-dimensional topological quantum field theory that generalizes the one that computes the N=2 index. The TQFT structure leads to an expression for the index of all class S fixed points in terms of the index of the N=2 theories. Calculations of spectral data using the index suggests a connection between these families of fixed points and the mathematics of SU(2) Yang-Mills theory on the wrapped curve.
|
2311.12974
|
Christoph Keller
|
Christoph A. Keller
|
Conformal Perturbation Theory on K3: The Quartic Gepner Point
|
37 pages, supplemental Mathematica notebook
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Gepner model (2)^4 describes the sigma model of the Fermat quartic K3
surface. Moving through the nearby moduli space using conformal perturbation
theory, we investigate how the conformal weights of its fields change at first
and second order and find approximate minima. This serves as a toy model for a
mechanism that could produce new chiral fields and possibly new nearby rational
CFTs.
|
[
{
"created": "Tue, 21 Nov 2023 20:23:53 GMT",
"version": "v1"
}
] |
2023-11-23
|
[
[
"Keller",
"Christoph A.",
""
]
] |
The Gepner model (2)^4 describes the sigma model of the Fermat quartic K3 surface. Moving through the nearby moduli space using conformal perturbation theory, we investigate how the conformal weights of its fields change at first and second order and find approximate minima. This serves as a toy model for a mechanism that could produce new chiral fields and possibly new nearby rational CFTs.
|
hep-th/0101105
|
Dmitri Vassilevich
|
P.B. Gilkey, K. Kirsten, D.V. Vassilevich
|
Heat trace asymptotics with transmittal boundary conditions and quantum
brane-world scenario
|
latex, 25 pp
|
Nucl.Phys. B601 (2001) 125-148
|
10.1016/S0550-3213(01)00083-9
| null |
hep-th
| null |
We study the spectral geometry of an operator of Laplace type on a manifold
with a singular surface. We calculate several first coefficients of the heat
kernel expansion. These coefficients are responsible for divergences and
conformal anomaly in quantum brane-world scenario.
|
[
{
"created": "Tue, 16 Jan 2001 14:49:26 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gilkey",
"P. B.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] |
We study the spectral geometry of an operator of Laplace type on a manifold with a singular surface. We calculate several first coefficients of the heat kernel expansion. These coefficients are responsible for divergences and conformal anomaly in quantum brane-world scenario.
|
1903.00259
|
Alexei Morozov
|
A.Morozov
|
Extension of KNTZ trick to non-rectangular representations
|
6 pages
|
Phys.Lett. B793 (2019) 464-468
|
10.1016/j.physletb.2019.05.016
|
ITEP/TH-04/19
|
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We claim that the recently discovered universal-matrix precursor for the $F$
functions, which define the differential expansion of colored polynomials for
twist and double braid knots, can be extended from rectangular to
non-rectangular representations. This case is far more interesting, because it
involves multiplicities and associated mysterious gauge invariance of
arborescent calculus. In this paper we make the very first step -- reformulate
in this form the previously known formulas for the simplest non-rectangular
representations [r,1] and demonstrate their drastic simplification after this
reformulation.
|
[
{
"created": "Fri, 1 Mar 2019 12:06:04 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2019 13:19:00 GMT",
"version": "v2"
}
] |
2019-06-25
|
[
[
"Morozov",
"A.",
""
]
] |
We claim that the recently discovered universal-matrix precursor for the $F$ functions, which define the differential expansion of colored polynomials for twist and double braid knots, can be extended from rectangular to non-rectangular representations. This case is far more interesting, because it involves multiplicities and associated mysterious gauge invariance of arborescent calculus. In this paper we make the very first step -- reformulate in this form the previously known formulas for the simplest non-rectangular representations [r,1] and demonstrate their drastic simplification after this reformulation.
|
1612.08140
|
Martin Kruczenski
|
Peter D. Anderson and Martin Kruczenski
|
Loop Equations and bootstrap methods in the lattice
|
LaTeX, 46 pages, 17 figures. v2: References added
| null |
10.1016/j.nuclphysb.2017.06.009
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Pure gauge theories can be formulated in terms of Wilson Loops correlators by
means of the loop equation. In the large-N limit this equation closes in the
expectation value of single loops. In particular, using the lattice as a
regulator, it becomes a well defined equation for a discrete set of loops. In
this paper we study different numerical approaches to solving this equation.
Previous ideas gave good results in the strong coupling region. Here we propose
an alternative method based on the observation that certain matrices
$\hat{\rho}$ of Wilson loop expectation values are positive definite. They also
have unit trace ($\hat{\rho}\succeq 0, \mbox{tr} \hat{\rho}=1$), in fact they
can be defined as density matrices in the space of open loops after tracing
over color indices and can be used to define an entropy associated with the
loss of information due to such trace $S_{WL}=-\mbox{tr}[ \hat{\rho}\ln
\hat{\rho}]$.
The condition that such matrices are positive definite allows us to study the
weak coupling region which is relevant for the continuum limit. In the exactly
solvable case of two dimensions this approach gives very good results by
considering just a few loops. In four dimensions it gives good results in the
weak coupling region and therefore is complementary to the strong coupling
expansion. We compare the results with standard Monte Carlo simulations.
|
[
{
"created": "Sat, 24 Dec 2016 04:32:46 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2017 02:27:03 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Anderson",
"Peter D.",
""
],
[
"Kruczenski",
"Martin",
""
]
] |
Pure gauge theories can be formulated in terms of Wilson Loops correlators by means of the loop equation. In the large-N limit this equation closes in the expectation value of single loops. In particular, using the lattice as a regulator, it becomes a well defined equation for a discrete set of loops. In this paper we study different numerical approaches to solving this equation. Previous ideas gave good results in the strong coupling region. Here we propose an alternative method based on the observation that certain matrices $\hat{\rho}$ of Wilson loop expectation values are positive definite. They also have unit trace ($\hat{\rho}\succeq 0, \mbox{tr} \hat{\rho}=1$), in fact they can be defined as density matrices in the space of open loops after tracing over color indices and can be used to define an entropy associated with the loss of information due to such trace $S_{WL}=-\mbox{tr}[ \hat{\rho}\ln \hat{\rho}]$. The condition that such matrices are positive definite allows us to study the weak coupling region which is relevant for the continuum limit. In the exactly solvable case of two dimensions this approach gives very good results by considering just a few loops. In four dimensions it gives good results in the weak coupling region and therefore is complementary to the strong coupling expansion. We compare the results with standard Monte Carlo simulations.
|
hep-th/0605013
|
Soo-Jong Rey
|
Yu Nakayama, Soo-Jong Rey, Yuji Sugawara
|
Unitarity Meets Channel-Duality for Rolling / Decaying D-Branes
|
Latex, 28 pages, 2 figures (colored)
|
JHEP0608:014,2006
|
10.1088/1126-6708/2006/08/014
|
SNUST 060402, UT-06-06
|
hep-th
| null |
Investigations for decay of unstable D-brane and rolling of accelerated
D-brane dynamics have revealed that various proposed prescriptions give
different result for spectral amplitudes and observables. Here, we study them
with particular attention to unitarity and open-closed channel duality. From
"ab initio" derivation in the open string channel, both in Euclidean and
Lorentzian worldsheet approaches, we find heretofore overlooked contribution to
the spectral amplitudes and obervables. The contribution is fortuitously absent
for decay of unstable D-brane, but is present for rolling of accelerated
D-brane. We finally show that the contribution is imperative for ensuring
unitarity and optical theorem at each order in string loop expansion.
|
[
{
"created": "Mon, 1 May 2006 13:47:53 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Nakayama",
"Yu",
""
],
[
"Rey",
"Soo-Jong",
""
],
[
"Sugawara",
"Yuji",
""
]
] |
Investigations for decay of unstable D-brane and rolling of accelerated D-brane dynamics have revealed that various proposed prescriptions give different result for spectral amplitudes and observables. Here, we study them with particular attention to unitarity and open-closed channel duality. From "ab initio" derivation in the open string channel, both in Euclidean and Lorentzian worldsheet approaches, we find heretofore overlooked contribution to the spectral amplitudes and obervables. The contribution is fortuitously absent for decay of unstable D-brane, but is present for rolling of accelerated D-brane. We finally show that the contribution is imperative for ensuring unitarity and optical theorem at each order in string loop expansion.
|
1005.3437
|
Rosevaldo de Oliveira
|
Rosevaldo de Oliveira
|
Renormalized Free Energy on Space-time with Compact Hyperbolic Spatial
Part
|
7 pages and 2 figures
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we found the renormalized free energy of a interacting scalar
field on a compact hyperbolic manifold explicitly. We have shown a complete
expression of the free energy and entropy as a function of the curvature and
the temperature. Carefully analyzing the free energy we have shown that there
exist a minimum with respect to the curvature that depend on the temperature.
The principle of minimum free energy give us an estimate of the connection
between stationary curvature and temperature. As a result we obtain that the
stationary curvature increases when the temperature increases too. If we start
from an universe with very high curvature and temperature in the beginning,
because of the principle of minimum free energy, the universe will reach a new
situation of equilibrium for low temperature and low curvature. Consequently,
the flat space-time is obtained for low temperature.
|
[
{
"created": "Wed, 19 May 2010 13:36:09 GMT",
"version": "v1"
}
] |
2010-05-20
|
[
[
"de Oliveira",
"Rosevaldo",
""
]
] |
In this paper we found the renormalized free energy of a interacting scalar field on a compact hyperbolic manifold explicitly. We have shown a complete expression of the free energy and entropy as a function of the curvature and the temperature. Carefully analyzing the free energy we have shown that there exist a minimum with respect to the curvature that depend on the temperature. The principle of minimum free energy give us an estimate of the connection between stationary curvature and temperature. As a result we obtain that the stationary curvature increases when the temperature increases too. If we start from an universe with very high curvature and temperature in the beginning, because of the principle of minimum free energy, the universe will reach a new situation of equilibrium for low temperature and low curvature. Consequently, the flat space-time is obtained for low temperature.
|
0804.3246
|
Gabriele Tartaglino-Mazzucchelli
|
Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli
|
Wandering in five-dimensional curved superspace
|
10 pages, LaTeX, Contribution to the proceedings of the Third
Workshop of the RTN project "Constituents, Fundamental Forces and Symmetries
of the Universe," Valencia, October 1-5, 2007; V2: typo above eq. (26)
corrected
|
Fortsch.Phys.56:929-935,2008
|
10.1002/prop.200810560
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a brief review of the superspace formulation for five-dimensional N=1
matter-coupled supergravity recently developed by the authors.
|
[
{
"created": "Mon, 21 Apr 2008 08:19:22 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2008 16:15:13 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
This is a brief review of the superspace formulation for five-dimensional N=1 matter-coupled supergravity recently developed by the authors.
|
1107.5522
|
Ruth Gregory
|
Ruth Gregory and Dariush Kaviani
|
Spinflation with Angular Potentials
|
20 pages, 10 figures. Revised to published version: minor errors
corrected, references and discussion added
|
JHEP 1201 (2012) 037
|
10.1007/JHEP01(2012)037
|
DCPT-11/37; IPPP/11/40; DCPT/11/80
|
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate in detail the cosmological consequences of realistic angular
dependent potentials in the brane inflation scenario. Embedding a warped throat
into a compact Calabi-Yau space with all moduli stabilized breaks the no-scale
structure and induces angular dependence in the potential of the probe
D3-brane. We solve the equations of motion from the DBI action in the warped
deformed conifold including linearized perturbations around the imaginary
self-dual solution. Our numerical solutions show that angular dependence is a
next to leading order correction to the dominant radial motion of the brane,
however, just as angular motion typically increases the amount of inflation
(spinflation), having additional angular dependence also increases the amount
of inflation. We also derive an analytic approximation for the number of
e-foldings along the DBI trajectory in terms of the compactification
parameters.
|
[
{
"created": "Wed, 27 Jul 2011 16:30:29 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2012 09:35:32 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Gregory",
"Ruth",
""
],
[
"Kaviani",
"Dariush",
""
]
] |
We investigate in detail the cosmological consequences of realistic angular dependent potentials in the brane inflation scenario. Embedding a warped throat into a compact Calabi-Yau space with all moduli stabilized breaks the no-scale structure and induces angular dependence in the potential of the probe D3-brane. We solve the equations of motion from the DBI action in the warped deformed conifold including linearized perturbations around the imaginary self-dual solution. Our numerical solutions show that angular dependence is a next to leading order correction to the dominant radial motion of the brane, however, just as angular motion typically increases the amount of inflation (spinflation), having additional angular dependence also increases the amount of inflation. We also derive an analytic approximation for the number of e-foldings along the DBI trajectory in terms of the compactification parameters.
|
1505.00783
|
Marco Stefano Bianchi
|
Lorenzo Bianchi, Marco S. Bianchi
|
Quantum dispersion relations for the $AdS_4 \times CP^3$ GKP string
|
30 pages, 3 figures; v2: published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the one-loop correction to the dispersion relations of the
excitations of the $AdS_4 \times CP^3$ sigma model dual to ABJM theory,
expanded around the cusp background. The results parallel those of N = 4 SYM.
As in that case, the dispersion relations are compatible with the predictions
from the Bethe ansatz for the GKP string, though showing some known
discrepancies on which we comment.
|
[
{
"created": "Mon, 4 May 2015 20:00:29 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 11:22:40 GMT",
"version": "v2"
}
] |
2015-11-05
|
[
[
"Bianchi",
"Lorenzo",
""
],
[
"Bianchi",
"Marco S.",
""
]
] |
We compute the one-loop correction to the dispersion relations of the excitations of the $AdS_4 \times CP^3$ sigma model dual to ABJM theory, expanded around the cusp background. The results parallel those of N = 4 SYM. As in that case, the dispersion relations are compatible with the predictions from the Bethe ansatz for the GKP string, though showing some known discrepancies on which we comment.
|
0811.4617
|
Mohammad Edalati
|
Philip C. Argyres, Mohammad Edalati, Robert G. Leigh and Justin F.
Vazquez-Poritz
|
Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD
|
45 pages, 18 figures; added references
|
Phys.Rev.D79:045022,2009
|
10.1103/PhysRevD.79.045022
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate various aspects of a proposal by Aharony and Kutasov
arXiv:0803.3547 [hep-th] for the gravity dual of an open Wilson line in the
Sakai-Sugimoto model or its non-compact version. In particular, we use their
proposal to determine the effect of finite temperature, as well as background
electric and magnetic fields, on the chiral symmetry breaking order parameter.
We also generalize their prescription to more complicated worldsheets and
identify the operators dual to such worldsheets.
|
[
{
"created": "Thu, 27 Nov 2008 21:03:01 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2008 18:39:54 GMT",
"version": "v2"
}
] |
2009-03-12
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Edalati",
"Mohammad",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Vazquez-Poritz",
"Justin F.",
""
]
] |
We investigate various aspects of a proposal by Aharony and Kutasov arXiv:0803.3547 [hep-th] for the gravity dual of an open Wilson line in the Sakai-Sugimoto model or its non-compact version. In particular, we use their proposal to determine the effect of finite temperature, as well as background electric and magnetic fields, on the chiral symmetry breaking order parameter. We also generalize their prescription to more complicated worldsheets and identify the operators dual to such worldsheets.
|
hep-th/9108023
|
Peter Bouwknegt
|
Peter Bouwknegt, Jim McCarthy and Krzysztof Pilch
|
Fock space resolutions of the Virasoro highest weight modules with c<=1
|
14 pages, revised version
|
Lett.Math.Phys.23:193-204,1991
|
10.1007/BF01885497
| null |
hep-th
| null |
We extend Felder's construction of Fock space resolutions for the Virasoro
minimal models to all irreducible modules with $c\leq 1$. In particular, we
provide resolutions for the representations corresponding to the boundary and
exterior of the Kac table.
|
[
{
"created": "Tue, 27 Aug 1991 11:44:52 GMT",
"version": "v1"
}
] |
2009-09-11
|
[
[
"Bouwknegt",
"Peter",
""
],
[
"McCarthy",
"Jim",
""
],
[
"Pilch",
"Krzysztof",
""
]
] |
We extend Felder's construction of Fock space resolutions for the Virasoro minimal models to all irreducible modules with $c\leq 1$. In particular, we provide resolutions for the representations corresponding to the boundary and exterior of the Kac table.
|
hep-th/9412192
| null |
J.D. Kim
|
Boundary K-matrix for the quantum Mikhailov-Shabat model
|
21 pages, DTP/94-53
| null | null | null |
hep-th
| null |
( We present complete solutions of $K$-matrix for the quantum
Mikhailov-Shabat model. It has been known that there are three diagonal
solutions with no free parameters, one being trivial identity solution, the
others non-trivial. The most general solutions which we found consist of three
families corresponding to each diagonal solutions. One family of solutions
depends on two arbitrary parameters. If one of the parameters vanishes, the
other must also vanish so that the solutions reduces to trivial identity
solution. The other two families for each non-trivial diagonal solutions have
only one arbitrary parameter.)
|
[
{
"created": "Wed, 21 Dec 1994 19:17:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kim",
"J. D.",
""
]
] |
( We present complete solutions of $K$-matrix for the quantum Mikhailov-Shabat model. It has been known that there are three diagonal solutions with no free parameters, one being trivial identity solution, the others non-trivial. The most general solutions which we found consist of three families corresponding to each diagonal solutions. One family of solutions depends on two arbitrary parameters. If one of the parameters vanishes, the other must also vanish so that the solutions reduces to trivial identity solution. The other two families for each non-trivial diagonal solutions have only one arbitrary parameter.)
|
1702.03448
|
S.Maryam Noorbakhsh
|
S.M. Noorbakhsh and M. Ghominejad
|
Higher Dimensional Charged AdS Black Holes at Ultra-spinning Limit and
Their 2d CFT Duals
|
19 pages, 1 figure, clarifications and reference added. The title
slightly changed
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the ultra-spinning limit as a generating solution technique, we
construct a novel class of charged rotating asymptotic AdS black holes. That
describes the exact D-dimnsioanl solutions of Einstein-Maxwell dilaton theory
in the presence of negative cosmological constant. The obtained geometries
possess some punctures, describing a noncompact horizon, but has a finite area.
We then explicitly investigate the validity of the Kerr/CFT correspondence for
all dimensional cases. We find a main result for the central charges associated
to $[(d-1)/2]$ copies of dual $2D$ CFTs. We then argue the existence of a
precise agreement between the microscopic entropy of dual CFTs and the entropy
of the noncompact horizon.
|
[
{
"created": "Sat, 11 Feb 2017 19:23:22 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Nov 2017 08:35:48 GMT",
"version": "v2"
}
] |
2017-11-21
|
[
[
"Noorbakhsh",
"S. M.",
""
],
[
"Ghominejad",
"M.",
""
]
] |
By using the ultra-spinning limit as a generating solution technique, we construct a novel class of charged rotating asymptotic AdS black holes. That describes the exact D-dimnsioanl solutions of Einstein-Maxwell dilaton theory in the presence of negative cosmological constant. The obtained geometries possess some punctures, describing a noncompact horizon, but has a finite area. We then explicitly investigate the validity of the Kerr/CFT correspondence for all dimensional cases. We find a main result for the central charges associated to $[(d-1)/2]$ copies of dual $2D$ CFTs. We then argue the existence of a precise agreement between the microscopic entropy of dual CFTs and the entropy of the noncompact horizon.
|
2111.13660
|
Federico Faedo
|
Federico Faedo, Dario Martelli
|
D4-branes wrapped on a spindle
|
51 pages. Minor changes, references added, section added
| null |
10.1007/JHEP02(2022)101
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct supersymmetric AdS$_4\times\Sigma$ solutions of $D=6$ gauged
supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle.
These uplift to solutions of massive type IIA supergravity using a general
prescription, that we describe. We argue that these solutions correspond to the
near-horizon limit of a system of $N_f$ D8-branes, together with $N$ D4-branes
wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau
three-fold. The dual field theories are $d=3$, ${\cal N }= 2$ SCFTs that arise
from a twisted compactification of the $d=5$, ${\cal N}=1$ $USp(2N)$ gauge
theory. We show that the holographic free energy associated to these solutions
is reproduced by extremizing an off-shell free energy, that we conjecture to
arise in the large $N$ limit of the localized partition function of the $d=5$
theories on $S^3\times\Sigma$. We formulate a universal proposal for a class of
off-shell free energies, whose extremization reproduces all previous results
for branes wrapped on spindles, as well as on genus $\mathrm{g}$ Riemann
surfaces $\Sigma_{\mathrm{g}}$. We further illustrate this proposal discussing
D4-branes wrapped on $\Sigma\times\Sigma_{\mathrm{g}}$, for which we present a
supersymmetric AdS$_2\times\Sigma\times\Sigma_{\mathrm{g}}$ solution of $D=6$
gauged supergravity along with the associated entropy function.
|
[
{
"created": "Fri, 26 Nov 2021 18:38:23 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2021 17:27:20 GMT",
"version": "v2"
}
] |
2022-03-09
|
[
[
"Faedo",
"Federico",
""
],
[
"Martelli",
"Dario",
""
]
] |
We construct supersymmetric AdS$_4\times\Sigma$ solutions of $D=6$ gauged supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle. These uplift to solutions of massive type IIA supergravity using a general prescription, that we describe. We argue that these solutions correspond to the near-horizon limit of a system of $N_f$ D8-branes, together with $N$ D4-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. The dual field theories are $d=3$, ${\cal N }= 2$ SCFTs that arise from a twisted compactification of the $d=5$, ${\cal N}=1$ $USp(2N)$ gauge theory. We show that the holographic free energy associated to these solutions is reproduced by extremizing an off-shell free energy, that we conjecture to arise in the large $N$ limit of the localized partition function of the $d=5$ theories on $S^3\times\Sigma$. We formulate a universal proposal for a class of off-shell free energies, whose extremization reproduces all previous results for branes wrapped on spindles, as well as on genus $\mathrm{g}$ Riemann surfaces $\Sigma_{\mathrm{g}}$. We further illustrate this proposal discussing D4-branes wrapped on $\Sigma\times\Sigma_{\mathrm{g}}$, for which we present a supersymmetric AdS$_2\times\Sigma\times\Sigma_{\mathrm{g}}$ solution of $D=6$ gauged supergravity along with the associated entropy function.
|
1307.8114
|
Bartholomew Horn
|
Solomon Endlich, Bart Horn, Alberto Nicolis, Junpu Wang
|
The squeezed limit of the solid inflation three-point function
|
9 pages (8 pages main text; 1 page Appendix)
|
Phys. Rev. D 90, 063506 (2014)
|
10.1103/PhysRevD.90.063506
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently proposed model of 'solid inflation' features a peculiar
three-point function for scalar perturbations with an anisotropic, purely
quadrupolar, squeezed limit. We confirm this result as well as the overall
amplitude of the three point-function via an extremely simple computation,
where we focus on the squeezed limit from the start and follow the standard
logic adopted in deriving the consistency relations. Our system violates the
consistency relations, but in the squeezed limit the three-point function can
still be traded for a background-dependent two-point function, which is
immediate to compute. Additionally, we use these simple methods to derive some
new results - namely, certain squeezed limits of the three-point correlators
involving vector and tensor perturbations as well.
|
[
{
"created": "Tue, 30 Jul 2013 20:00:01 GMT",
"version": "v1"
}
] |
2014-09-10
|
[
[
"Endlich",
"Solomon",
""
],
[
"Horn",
"Bart",
""
],
[
"Nicolis",
"Alberto",
""
],
[
"Wang",
"Junpu",
""
]
] |
The recently proposed model of 'solid inflation' features a peculiar three-point function for scalar perturbations with an anisotropic, purely quadrupolar, squeezed limit. We confirm this result as well as the overall amplitude of the three point-function via an extremely simple computation, where we focus on the squeezed limit from the start and follow the standard logic adopted in deriving the consistency relations. Our system violates the consistency relations, but in the squeezed limit the three-point function can still be traded for a background-dependent two-point function, which is immediate to compute. Additionally, we use these simple methods to derive some new results - namely, certain squeezed limits of the three-point correlators involving vector and tensor perturbations as well.
|
1312.0814
|
John Klauder
|
John R. Klauder
|
Matrix Models and Large-N Behavior
|
16 pages, version accepted for publication
| null |
10.1142/S0217751X14500262
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the procedures by which O(N)-invariant real vector models and their
large-N behavior have previously been solved, we extend similar techniques to
the study of real symmetric N x N-matrix models with O(N)-invariant
interactions. Proper extensions to N equal infinity are also established. While
no 1/N-expansions are involved in our analysis, a brief comparison of our
procedures with traditional 1/N-expansion procedures is given.
|
[
{
"created": "Tue, 3 Dec 2013 13:21:06 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2014 01:33:04 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Klauder",
"John R.",
""
]
] |
Following the procedures by which O(N)-invariant real vector models and their large-N behavior have previously been solved, we extend similar techniques to the study of real symmetric N x N-matrix models with O(N)-invariant interactions. Proper extensions to N equal infinity are also established. While no 1/N-expansions are involved in our analysis, a brief comparison of our procedures with traditional 1/N-expansion procedures is given.
|
2110.02256
|
V. Didenko
|
V.E. Didenko and A.V. Korybut
|
Planar solutions of higher-spin theory. Nonlinear corrections
|
30 pages, references added
| null |
10.1007/JHEP01(2022)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Leading order higher-spin corrections to the linearized higher-spin black
brane are analyzed in four dimensions. It is shown that the static solution
that respects planar symmetry exists in the bosonic case at given order. Its
higher-spin Weyl tensors are found in a closed form and are shown to have the
double copy origin. The effect of higher-spin fields to form a strictly
positive scalar condensate for any values of higher-spin charges is observed.
|
[
{
"created": "Tue, 5 Oct 2021 18:06:28 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2021 10:40:42 GMT",
"version": "v2"
}
] |
2022-02-09
|
[
[
"Didenko",
"V. E.",
""
],
[
"Korybut",
"A. V.",
""
]
] |
Leading order higher-spin corrections to the linearized higher-spin black brane are analyzed in four dimensions. It is shown that the static solution that respects planar symmetry exists in the bosonic case at given order. Its higher-spin Weyl tensors are found in a closed form and are shown to have the double copy origin. The effect of higher-spin fields to form a strictly positive scalar condensate for any values of higher-spin charges is observed.
|
1101.2801
|
Roberto Maluf
|
Roberto V. Maluf
|
Noncommutative Space Corrections on the Klein-Gordon and Dirac
Oscillators Spectra
|
15 pages, 2 figures, improvements and changes are added, Final
version published in IJMPA
|
IJMPA, Vol. 26, No. 29 (2011) 4991-5003
|
10.1142/S0217751X11054887
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the influence of a noncommutative space on the Klein-Gordon and
the Dirac oscillators. The nonrelativistic limit is taken and the
$\theta$-modified Hamiltonians are determined. The corrections of these
Hamiltonians on the energy levels are evaluated in first-order perturbation
theory. It is observed a total lifting of the degeneracy to the considered
levels. Such effects are similar to the Zeeman splitting in a commutative
space.
|
[
{
"created": "Fri, 14 Jan 2011 13:25:15 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2012 14:54:27 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Maluf",
"Roberto V.",
""
]
] |
We consider the influence of a noncommutative space on the Klein-Gordon and the Dirac oscillators. The nonrelativistic limit is taken and the $\theta$-modified Hamiltonians are determined. The corrections of these Hamiltonians on the energy levels are evaluated in first-order perturbation theory. It is observed a total lifting of the degeneracy to the considered levels. Such effects are similar to the Zeeman splitting in a commutative space.
|
0909.3061
|
B. Chandrasekhar
|
B. Chandrasekhar, Binata Panda
|
Brane Embeddings in AdS_4 x CP^3
|
27 pages, one section and appendix added, published version
|
Int.J.Mod.Phys.A26:2377-2404,2011
|
10.1142/S0217751X1105347X
|
CERN-PH-TH/2009-159
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency
conditions following from the pull back of target space equations of motion. We
explicitly discuss the supersymmetry preserved by these embeddings by analyzing
the compatibility of kappa symmetry projections with the target space Killing
spinors in each case. The embeddings correspond to AdS/dCFT dualities involving
a CFT with a defect. We also comment on the defect CFT.
|
[
{
"created": "Wed, 16 Sep 2009 16:55:20 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2009 18:30:02 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2011 18:53:39 GMT",
"version": "v3"
}
] |
2011-06-14
|
[
[
"Chandrasekhar",
"B.",
""
],
[
"Panda",
"Binata",
""
]
] |
We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility of kappa symmetry projections with the target space Killing spinors in each case. The embeddings correspond to AdS/dCFT dualities involving a CFT with a defect. We also comment on the defect CFT.
|
1302.5349
|
Linus Wulff
|
Per Sundin and Linus Wulff
|
Worldsheet scattering in AdS(3)/CFT(2)
|
20 pages, 1 figure; v2: Some clarifications in comparison to
literature
| null |
10.1007/JHEP07(2013)007
|
MIFPA-13-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with
direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS)
expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4)
we compute both tree-level and one-loop scattering amplitudes. Up to some minor
issues we find nice agreement in the tree-level sector. At the one-loop level
however we find that certain non-zero tree-level processes, which are not
visible in the exact solution, contribute, via the optical theorem, and give an
apparent mismatch for certain amplitudes. Furthermore we find that a proposed
one-loop modification of the dressing phase correctly reproduces the worldsheet
calculation while the standard Hernandez-Lopez phase does not. We also compute
several massless to massless processes.
|
[
{
"created": "Thu, 21 Feb 2013 17:36:07 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Feb 2013 16:57:39 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Sundin",
"Per",
""
],
[
"Wulff",
"Linus",
""
]
] |
We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS) expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) we compute both tree-level and one-loop scattering amplitudes. Up to some minor issues we find nice agreement in the tree-level sector. At the one-loop level however we find that certain non-zero tree-level processes, which are not visible in the exact solution, contribute, via the optical theorem, and give an apparent mismatch for certain amplitudes. Furthermore we find that a proposed one-loop modification of the dressing phase correctly reproduces the worldsheet calculation while the standard Hernandez-Lopez phase does not. We also compute several massless to massless processes.
|
1710.06989
|
Lilia Anguelova
|
Lilia Anguelova, Peter Suranyi, L.C. Rohana Wijewardhana
|
Systematics of Constant Roll Inflation
|
39 pages; minor corrections, references added
|
JCAP 1802 (2018) 004
|
10.1088/1475-7516/2018/02/004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study constant roll inflation systematically. This is a regime, in which
the slow roll approximation can be violated. It has long been thought that this
approximation is necessary for agreement with observations. However, recently
it was understood that there can be inflationary models with a constant, and
not necessarily small, rate of roll that are both stable and compatible with
the observational constraint $n_s \approx 1$. We investigate systematically the
condition for such a constant-roll regime. In the process, we find a whole new
class of inflationary models, in addition to the known solutions. We show that
the new models are stable under scalar perturbations. Finally, we find a part
of their parameter space, in which they produce a nearly scale-invariant scalar
power spectrum, as needed for observational viability.
|
[
{
"created": "Thu, 19 Oct 2017 02:40:32 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2017 16:29:11 GMT",
"version": "v2"
}
] |
2018-02-21
|
[
[
"Anguelova",
"Lilia",
""
],
[
"Suranyi",
"Peter",
""
],
[
"Wijewardhana",
"L. C. Rohana",
""
]
] |
We study constant roll inflation systematically. This is a regime, in which the slow roll approximation can be violated. It has long been thought that this approximation is necessary for agreement with observations. However, recently it was understood that there can be inflationary models with a constant, and not necessarily small, rate of roll that are both stable and compatible with the observational constraint $n_s \approx 1$. We investigate systematically the condition for such a constant-roll regime. In the process, we find a whole new class of inflationary models, in addition to the known solutions. We show that the new models are stable under scalar perturbations. Finally, we find a part of their parameter space, in which they produce a nearly scale-invariant scalar power spectrum, as needed for observational viability.
|
0709.4149
|
Raffaele Marotta
|
P. Di Vecchia, A. Liccardo, R. Marotta, I. Pesando, F. Pezzella
|
Wrapped Magnetized Branes: Two Alternative Descriptions?
|
60 pages, LaTeX
|
JHEP 0711:100,2007
|
10.1088/1126-6708/2007/11/100
|
DSF-32-2007, NORDITA-2007-28
|
hep-th
| null |
We discuss two inequivalent ways for describing magnetized D-branes wrapped N
times on a torus T^2. The first one is based on a non-abelian gauge bundle
U(N), while the second one is obtained by means of a Narain T-duality
transformation acting on a theory with non-magnetized branes. We construct in
both descriptions the boundary state and the open string vertices and show that
they give rise to different string amplitudes. In particular, the description
based on the gauge bundle has open string vertex operators with momentum
dependent Chan-Paton factors.
|
[
{
"created": "Wed, 26 Sep 2007 12:46:42 GMT",
"version": "v1"
}
] |
2009-06-10
|
[
[
"Di Vecchia",
"P.",
""
],
[
"Liccardo",
"A.",
""
],
[
"Marotta",
"R.",
""
],
[
"Pesando",
"I.",
""
],
[
"Pezzella",
"F.",
""
]
] |
We discuss two inequivalent ways for describing magnetized D-branes wrapped N times on a torus T^2. The first one is based on a non-abelian gauge bundle U(N), while the second one is obtained by means of a Narain T-duality transformation acting on a theory with non-magnetized branes. We construct in both descriptions the boundary state and the open string vertices and show that they give rise to different string amplitudes. In particular, the description based on the gauge bundle has open string vertex operators with momentum dependent Chan-Paton factors.
|
1703.08971
|
Chandrasekhar Chatterjee
|
Chandrasekhar Chatterjee and Muneto Nitta
|
BPS Alice strings
|
15 pages, 4 figures, minor typographical changes, references added
|
JHEP09(2017)046
|
10.1007/JHEP09(2017)046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a charged particle encircles around an Alice string, it changes the sign
of the electric charge. In this paper we find a BPS-saturated Alice string in
$U(1)\times SO(3)$ gauge theory with charged complex scalar fields belonging to
the vector representation. After performing BPS completion we solve the BPS
equations numerically. We further embed the Alice string into an ${\cal N}=1$
supersymmetric gauge theory to show that it is half BPS.
|
[
{
"created": "Mon, 27 Mar 2017 08:37:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2017 09:38:16 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Sep 2017 07:33:59 GMT",
"version": "v3"
}
] |
2017-09-15
|
[
[
"Chatterjee",
"Chandrasekhar",
""
],
[
"Nitta",
"Muneto",
""
]
] |
When a charged particle encircles around an Alice string, it changes the sign of the electric charge. In this paper we find a BPS-saturated Alice string in $U(1)\times SO(3)$ gauge theory with charged complex scalar fields belonging to the vector representation. After performing BPS completion we solve the BPS equations numerically. We further embed the Alice string into an ${\cal N}=1$ supersymmetric gauge theory to show that it is half BPS.
|
1111.5759
|
Bo Feng
|
Bo Feng, Mingxing Luo
|
An Introduction to On-shell Recursion Relations
|
80 pages, 8 figures; references added; minor changes of text
|
Front. Phys.,2012,7(5):533-575
|
10.1007/s11467-012-0270-z
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article provides an introduction to on-shell recursion relations for
calculations of tree-level amplitudes. Starting with the basics, such as spinor
notations and color decompositions, we expose analytic properties of
gauge-boson amplitudes, BCFW-deformations, the large $z$-behavior of
amplitudes, and on-shell recursion relations of gluons. We discuss further
developments of on-shell recursion relations, including generalization to other
quantum field theories, supersymmetric theories in particular, recursion
relations for off-shell currents, recursion relation with nonzero boundary
contributions, bonus relations, relations for rational parts of one-loop
amplitudes, recursion relations in 3D and a proof of CSW rules. Finally, we
present samples of applications, including solutions of split helicity
amplitudes and of N= 4 SYM theories, consequences of consistent conditions
under recursion relation, Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ)
relations for color-ordered gluon tree amplitudes, Kawai-Lewellen-Tye (KLT)
relations.
|
[
{
"created": "Thu, 24 Nov 2011 13:41:36 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Feb 2012 14:40:02 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Sep 2012 12:08:52 GMT",
"version": "v3"
}
] |
2013-10-11
|
[
[
"Feng",
"Bo",
""
],
[
"Luo",
"Mingxing",
""
]
] |
This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we expose analytic properties of gauge-boson amplitudes, BCFW-deformations, the large $z$-behavior of amplitudes, and on-shell recursion relations of gluons. We discuss further developments of on-shell recursion relations, including generalization to other quantum field theories, supersymmetric theories in particular, recursion relations for off-shell currents, recursion relation with nonzero boundary contributions, bonus relations, relations for rational parts of one-loop amplitudes, recursion relations in 3D and a proof of CSW rules. Finally, we present samples of applications, including solutions of split helicity amplitudes and of N= 4 SYM theories, consequences of consistent conditions under recursion relation, Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations for color-ordered gluon tree amplitudes, Kawai-Lewellen-Tye (KLT) relations.
|
hep-th/9510021
|
Jan Willem v. Holten
|
J.W. van Holten
|
D = 1 Supergravity and Spinning Particles
|
18 pages, a4, no figures, references added
| null |
10.1142/9789812830425_0010
|
NIKHEF/95-055
|
hep-th
| null |
In this paper I review the multiplet calculus of $N = 1$, $D = 1$ local
supersymmetry with applications to the construction of models for spinning
particles in background fields, and models with space-time supersymmetry. New
features include a non-linear realization of the local supersymmetry algebra
and the coupling to anti-symmetric tensor fields of both odd and even rank. The
non-linear realization allows the construction of a $D = 1$
cosmological-constant term, which provides a mass term in the equations of
motion.
|
[
{
"created": "Thu, 5 Oct 1995 13:17:55 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 1995 13:18:24 GMT",
"version": "v2"
}
] |
2016-11-03
|
[
[
"van Holten",
"J. W.",
""
]
] |
In this paper I review the multiplet calculus of $N = 1$, $D = 1$ local supersymmetry with applications to the construction of models for spinning particles in background fields, and models with space-time supersymmetry. New features include a non-linear realization of the local supersymmetry algebra and the coupling to anti-symmetric tensor fields of both odd and even rank. The non-linear realization allows the construction of a $D = 1$ cosmological-constant term, which provides a mass term in the equations of motion.
|
hep-th/0406185
|
Fabio Zwirner
|
Giovanni Villadoro and Fabio Zwirner
|
The minimal N=4 no-scale model from generalized dimensional reduction
|
1+28 pages, no figures, JHEP3 LaTeX, published version
|
JHEP 0407 (2004) 055
|
10.1088/1126-6708/2004/07/055
|
CERN-PH-TH/2004-109, ROMA-1376/04
|
hep-th
| null |
We consider the generalized dimensional reduction of pure ungauged N=4, D=5
supergravity, where supersymmetry is spontaneously broken to N=2 or N=0 with
identically vanishing scalar potential. We explicitly construct the resulting
gauged D=4 theory coupled to a single vector multiplet, which provides the
minimal N=4 realization of a no-scale model. We discuss its relation with the
standard classification of N=4 gaugings, extensions to non-compact twists and
to higher dimensions, the N=2 theories obtained via consistent Z_2 orbifold
projections and prospects for further generalizations.
|
[
{
"created": "Tue, 22 Jun 2004 12:51:42 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Aug 2004 11:43:11 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Villadoro",
"Giovanni",
""
],
[
"Zwirner",
"Fabio",
""
]
] |
We consider the generalized dimensional reduction of pure ungauged N=4, D=5 supergravity, where supersymmetry is spontaneously broken to N=2 or N=0 with identically vanishing scalar potential. We explicitly construct the resulting gauged D=4 theory coupled to a single vector multiplet, which provides the minimal N=4 realization of a no-scale model. We discuss its relation with the standard classification of N=4 gaugings, extensions to non-compact twists and to higher dimensions, the N=2 theories obtained via consistent Z_2 orbifold projections and prospects for further generalizations.
|
2012.07766
|
Gerben Oling
|
Chris D. A. Blair, Gerben Oling, Jeong-Hyuck Park
|
Non-Riemannian isometries from double field theory
|
31+5 pages, v2: minor changes
|
JHEP 04 (2021) 072
|
10.1007/JHEP04(2021)072
|
YITP-20-165
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the notion of isometries in non-Riemannian geometries. Such
geometries include and generalise the backgrounds of non-relativistic string
theory, and they can be naturally described using the formalism of double field
theory. Adopting this approach, we first solve the corresponding Killing
equations for constant flat non-Riemannian backgrounds and show that they admit
an infinite-dimensional algebra of isometries which includes a particular type
of supertranslations. These symmetries correspond to known worldsheet Noether
symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret
as isometries of its non-Riemannian doubled background. We further consider the
extension to supersymmetric double field theory and show that the corresponding
Killing spinors can depend arbitrarily on the non-Riemannian directions,
leading to "supersupersymmetries" that square to supertranslations.
|
[
{
"created": "Mon, 14 Dec 2020 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2021 17:53:08 GMT",
"version": "v2"
}
] |
2021-06-08
|
[
[
"Blair",
"Chris D. A.",
""
],
[
"Oling",
"Gerben",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to "supersupersymmetries" that square to supertranslations.
|
hep-th/0211273
|
Petre Dita
|
Petre Dita
|
Motion on the n-dimensional ellipsoid under the influence of a harmonic
force revisited
|
Latex2e, 18 pages
|
J.Phys.A36:10159-10172,2003
|
10.1088/0305-4470/36/40/003
| null |
hep-th hep-ph math-ph math.MP nlin.SI
| null |
The $n$ integrals in involution for the motion on the $n$-dimensional
ellipsoid under the influence of a harmonic force are explicitly found. The
classical separation of variables is given by the inverse momentum map. In the
quantum case the Schr\"odinger equation separates into one-dimensional
equations that coincide with those obtained from the classical separation of
variables. We show that there is a more general orthogonal parametrisation of
Jacobi type that depends on two arbitrary real parameters. Also if there is a
certain relation between the spring constants and the ellipsoid semiaxes the
motion under the influence of such a harmonic potential is equivalent to the
free motion on the ellipsoid.
|
[
{
"created": "Thu, 28 Nov 2002 09:36:49 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dita",
"Petre",
""
]
] |
The $n$ integrals in involution for the motion on the $n$-dimensional ellipsoid under the influence of a harmonic force are explicitly found. The classical separation of variables is given by the inverse momentum map. In the quantum case the Schr\"odinger equation separates into one-dimensional equations that coincide with those obtained from the classical separation of variables. We show that there is a more general orthogonal parametrisation of Jacobi type that depends on two arbitrary real parameters. Also if there is a certain relation between the spring constants and the ellipsoid semiaxes the motion under the influence of such a harmonic potential is equivalent to the free motion on the ellipsoid.
|
hep-th/0112060
|
Andrei Ivanov
|
V. A. Ivanova, N. I. Troitskaya
|
On the Wilson loop in the dual representation within the dual Higgs
model with dual Dirac strings
|
9 pages, latex, no figures
|
Phys.Lett.B535:371-376,2002
|
10.1016/S0370-2693(02)01725-2
| null |
hep-th
| null |
The vacuum expectation value of the Wilson loop in the dual representation is
calculated in the dual Higgs model with dual Dirac strings. It is shown that
the averaged value of the Wilson loop in the dual representation obeys the
area-law falloff. Quantum fluctuations of the dual-vector and the Higgs field
around Abrikosov flux lines induced by dual Dirac strings in a dual
superconducting vacuum and string shape fluctuations are taken into account.
|
[
{
"created": "Sat, 8 Dec 2001 17:19:49 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ivanova",
"V. A.",
""
],
[
"Troitskaya",
"N. I.",
""
]
] |
The vacuum expectation value of the Wilson loop in the dual representation is calculated in the dual Higgs model with dual Dirac strings. It is shown that the averaged value of the Wilson loop in the dual representation obeys the area-law falloff. Quantum fluctuations of the dual-vector and the Higgs field around Abrikosov flux lines induced by dual Dirac strings in a dual superconducting vacuum and string shape fluctuations are taken into account.
|
hep-th/0603047
|
Michael Ratz
|
Oleg Lebedev, Hans Peter Nilles, Michael Ratz
|
De Sitter Vacua from Matter Superpotentials
|
12 pages, 2 figures
|
Phys.Lett.B636:126-131,2006
|
10.1016/j.physletb.2006.03.046
| null |
hep-th hep-ph
| null |
Consistent uplifting of AdS vacua in string theory often requires extra light
degrees of freedom in addition to those of a (Kaehler) modulus. Here we
consider the possibility that de Sitter and Minkowski vacua arise due to hidden
sector matter interactions. We find that, in this scheme, the hierarchically
small supersymmetry breaking scale can be explained by the scale of gaugino
condensation and that interesting patterns of the soft terms arise. In
particular, a matter-dominated supersymmetry breaking scenario and a version of
the mirage mediation scheme appear in the framework of spontaneously broken
supergravity.
|
[
{
"created": "Tue, 7 Mar 2006 08:46:54 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Lebedev",
"Oleg",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Ratz",
"Michael",
""
]
] |
Consistent uplifting of AdS vacua in string theory often requires extra light degrees of freedom in addition to those of a (Kaehler) modulus. Here we consider the possibility that de Sitter and Minkowski vacua arise due to hidden sector matter interactions. We find that, in this scheme, the hierarchically small supersymmetry breaking scale can be explained by the scale of gaugino condensation and that interesting patterns of the soft terms arise. In particular, a matter-dominated supersymmetry breaking scenario and a version of the mirage mediation scheme appear in the framework of spontaneously broken supergravity.
|
1610.07975
|
Fabio Riccioni
|
Davide M. Lombardo, Fabio Riccioni and Stefano Risoli
|
$P$ fluxes and exotic branes
|
29 pages. Refs. added, end of subsection 4.2 improved, other minor
changes. Version published on JHEP
| null |
10.1007/JHEP12(2016)114
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the ${\cal N}=1$ superpotential generated in type-II orientifold
models by non-geometric fluxes. In particular, we focus on the family of $P$
fluxes, that are related by T-duality transformations to the S-dual of the $Q$
flux. We determine the general rule that transforms a given flux in this family
under a single T-duality transformation. This rule allows to derive a complete
expression for the superpotential for both the IIA and the IIB theory for the
particular case of a $T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ orientifold. We
then consider how these fluxes modify the generalised Bianchi identities. In
particular, we derive a fully consistent set of quadratic constraints coming
from the NS-NS Bianchi identities. On the other hand, the $P$ flux Bianchi
identities induce tadpoles, and we determine a set of exotic branes that can be
consistently included in order to cancel them. This is achieved by determining
a universal transformation rule under T-duality satisfied by all the branes in
string theory.
|
[
{
"created": "Tue, 25 Oct 2016 17:23:32 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2017 11:26:17 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Lombardo",
"Davide M.",
""
],
[
"Riccioni",
"Fabio",
""
],
[
"Risoli",
"Stefano",
""
]
] |
We consider the ${\cal N}=1$ superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of $P$ fluxes, that are related by T-duality transformations to the S-dual of the $Q$ flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a $T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the $P$ flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.
|
1706.09330
|
Gabriele Tartaglino-Mazzucchelli
|
Joseph Novak, Mehmet Ozkan, Yi Pang, Gabriele Tartaglino-Mazzucchelli
|
Gauss-Bonnet supergravity in six dimensions
|
5 pages; V2: minor corrections, revised version for publication in
PRL
|
Phys. Rev. Lett. 119, 111602 (2017)
|
10.1103/PhysRevLett.119.111602
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The supersymmetrization of curvature squared terms is important in the study
of the low-energy limit of compactified superstrings where a distinguished role
is played by the Gauss-Bonnet combination, which is ghost-free. In this letter,
we construct its off-shell ${\cal N} = (1, 0)$ supersymmetrization in six
dimensions for the first time. By studying this invariant together with the
supersymmetric Einstein-Hilbert term we confirm and extend known results of the
$\alpha'$-corrected string theory compactified to six dimensions. Finally, we
analyze the spectrum about the ${\rm AdS}_3\times{\rm S}^3$ solution.
|
[
{
"created": "Wed, 28 Jun 2017 15:09:51 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2017 16:48:00 GMT",
"version": "v2"
}
] |
2017-09-20
|
[
[
"Novak",
"Joseph",
""
],
[
"Ozkan",
"Mehmet",
""
],
[
"Pang",
"Yi",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
The supersymmetrization of curvature squared terms is important in the study of the low-energy limit of compactified superstrings where a distinguished role is played by the Gauss-Bonnet combination, which is ghost-free. In this letter, we construct its off-shell ${\cal N} = (1, 0)$ supersymmetrization in six dimensions for the first time. By studying this invariant together with the supersymmetric Einstein-Hilbert term we confirm and extend known results of the $\alpha'$-corrected string theory compactified to six dimensions. Finally, we analyze the spectrum about the ${\rm AdS}_3\times{\rm S}^3$ solution.
|
hep-th/9203065
|
Giorgio Giavarini
|
C. Destri and H.J. de Vega
|
Bethe Ansatz and Quantum Groups: The Light--Cone Approach. II. From
RSOS($p+1$) models to $p-$restricted Sine--Gordon Field Theories
|
33 pages
|
Nucl.Phys. B385 (1992) 361-394
|
10.1016/0550-3213(92)90105-K
|
LPTHE 92/08, UPRF-92-33 February 1992
|
hep-th
| null |
We solve the RSOS($p$) models on the light--cone lattice with fixed boundary
conditions by disentangling the type II representations of $SU(2)_q$, at
$q=e^{i\pi/p}$, from the full SOS spectrum obtained through Algebraic Bethe
Ansatz. The rule which realizes the quantum group reduction to the RSOS states
is that there must not be {\it singular} roots in the solutions of the Bethe
Ansatz equations describing the states with quantum spin $J<(p-1)/2$. By
studying how this rule is active on the particle states, we are able to give a
microscopic derivation of the lattice $S-$matrix of the massive kinks. The
correspondence between the light--cone Six--Vertex model and the Sine--Gordon
field theory implies that the continuum limit of the RSOS($p+1$) model is to be
identified with the $p-$restricted Sine--Gordon field theory.
|
[
{
"created": "Tue, 24 Mar 1992 14:29:28 GMT",
"version": "v1"
},
{
"created": "Tue, 26 May 1992 14:53:46 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Destri",
"C.",
""
],
[
"de Vega",
"H. J.",
""
]
] |
We solve the RSOS($p$) models on the light--cone lattice with fixed boundary conditions by disentangling the type II representations of $SU(2)_q$, at $q=e^{i\pi/p}$, from the full SOS spectrum obtained through Algebraic Bethe Ansatz. The rule which realizes the quantum group reduction to the RSOS states is that there must not be {\it singular} roots in the solutions of the Bethe Ansatz equations describing the states with quantum spin $J<(p-1)/2$. By studying how this rule is active on the particle states, we are able to give a microscopic derivation of the lattice $S-$matrix of the massive kinks. The correspondence between the light--cone Six--Vertex model and the Sine--Gordon field theory implies that the continuum limit of the RSOS($p+1$) model is to be identified with the $p-$restricted Sine--Gordon field theory.
|
1805.02942
|
Ouali Taoufik
|
Aatifa Bargach, Farida Bargach and Taoufik Ouali
|
Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
|
14 pages, 18 figures, revised version, new references
|
Nucl. Phys. B 940 (2019) 10
|
10.1016/j.nuclphysb.2019.01.007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamical system approach of non minimally coupled scalar field
to induced gravity on the brane in the framework of the AdS/CFT correspondence.
In this context, we derive the modified Friedmann equation and the equation of
motion. The dynamics of this model are studied by rewriting the cosmological
field equations in the form of a system of autonomous differential equations.
In particular, the analysis is considered by investigating an exponential
potential and a monomial form of the non minimal coupling function. We show
that, for sufficient conditions, a past de Sitter attractor solution is
obtained in the case of a minimal coupling, meanwhile a future de Sitter
attractor solutions is obtained for a conformal coupling and for a non minimal
coupling.
|
[
{
"created": "Tue, 8 May 2018 10:57:02 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jul 2018 14:02:51 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Nov 2018 15:20:07 GMT",
"version": "v3"
}
] |
2019-02-20
|
[
[
"Bargach",
"Aatifa",
""
],
[
"Bargach",
"Farida",
""
],
[
"Ouali",
"Taoufik",
""
]
] |
We study the dynamical system approach of non minimally coupled scalar field to induced gravity on the brane in the framework of the AdS/CFT correspondence. In this context, we derive the modified Friedmann equation and the equation of motion. The dynamics of this model are studied by rewriting the cosmological field equations in the form of a system of autonomous differential equations. In particular, the analysis is considered by investigating an exponential potential and a monomial form of the non minimal coupling function. We show that, for sufficient conditions, a past de Sitter attractor solution is obtained in the case of a minimal coupling, meanwhile a future de Sitter attractor solutions is obtained for a conformal coupling and for a non minimal coupling.
|
2007.08143
|
Geunho Song
|
Geunho Song, Yunseok Seo, Sang-Jin Sin
|
Determination of Dynamical exponents of Graphene at quantum critical
point by holography
|
9 pages, 6 figures
|
Phys. Rev. D 102, 126023 (2020)
|
10.1103/PhysRevD.102.126023
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the transport of a theory with two conserved currents by
holographic method and compare it with graphene data to determine its dynamical
exponents $(z,\theta)$ which characterizes a QCP. As a result, we find that the
electric and the thermal conductivity data can be fit much more naturally if we
assume $(z,\theta)=(3/2,1)$ rather than $(1,0)$. Furthermore, we find that
thermoelectric power data at high temperature can be fit if we use $(3/2,1)$
but not at all by $(1,0)$. The $\theta=1$ result can be interpreted as taking
into account the fermionic nature of the electrons and $z=3/2$ can be
interpreted as the flattened band by the strong interaction.
|
[
{
"created": "Thu, 16 Jul 2020 06:59:20 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 07:26:43 GMT",
"version": "v2"
}
] |
2021-01-04
|
[
[
"Song",
"Geunho",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
We calculate the transport of a theory with two conserved currents by holographic method and compare it with graphene data to determine its dynamical exponents $(z,\theta)$ which characterizes a QCP. As a result, we find that the electric and the thermal conductivity data can be fit much more naturally if we assume $(z,\theta)=(3/2,1)$ rather than $(1,0)$. Furthermore, we find that thermoelectric power data at high temperature can be fit if we use $(3/2,1)$ but not at all by $(1,0)$. The $\theta=1$ result can be interpreted as taking into account the fermionic nature of the electrons and $z=3/2$ can be interpreted as the flattened band by the strong interaction.
|
hep-th/9510120
|
Yuichi Chikashige
|
Y\=uichi Chikashige and Tadashi Kon
|
Quantum Mechanics Violating Effects to Masses of Nambu-Goldstone Bosons:
A Lesson for Majoron
|
10 pages Inproper words in the title, in the abstract and in the
contents are corrected
| null | null |
ITP-SU-95/05
|
hep-th hep-ph
| null |
We study gravitational quantum mechanics violating (QMV) effects to masses of
Nambu-Goldstone bosons, taking majoron as an example. We show a supersymmetric
majoron has either mass of O(keV) for the dimension five potential or smaller
mass for effective potentials with higher dimensions. We extend the Dashen's
formula for pseudo Nambu-Goldstone bosons to include possible effects of QMV.
|
[
{
"created": "Wed, 18 Oct 1995 06:55:56 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Oct 1995 07:59:51 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 1995 06:23:31 GMT",
"version": "v3"
}
] |
2016-08-15
|
[
[
"Chikashige",
"Yūichi",
""
],
[
"Kon",
"Tadashi",
""
]
] |
We study gravitational quantum mechanics violating (QMV) effects to masses of Nambu-Goldstone bosons, taking majoron as an example. We show a supersymmetric majoron has either mass of O(keV) for the dimension five potential or smaller mass for effective potentials with higher dimensions. We extend the Dashen's formula for pseudo Nambu-Goldstone bosons to include possible effects of QMV.
|
hep-th/0105107
|
Pierre Mathieu
|
P. Desrosiers, L. Lapointe and P. Mathieu
|
Jack superpolynomials, superpartition ordering and determinantal
formulas
|
20 pages - minor corrections; to appear in CMP
|
Commun.Math.Phys. 233 (2003) 383-402
|
10.1007/s00220-002-0731-2
| null |
hep-th cond-mat math-ph math.MP math.QA nlin.SI
| null |
We call superpartitions the indices of the eigenfunctions of the
supersymmetric extension of the trigonometric Calogero-Moser-Sutherland model.
We obtain an ordering on superpartitions from the explicit action of the
model's Hamiltonian on monomial superfunctions. This allows to define Jack
superpolynomials as the unique eigenfunctions of the model that decompose
triangularly, with respect to this ordering, on the basis of monomial
superfunctions. This further leads to a simple and explicit determinantal
expression for the Jack superpolynomials.
|
[
{
"created": "Fri, 11 May 2001 17:45:05 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2002 15:20:41 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Desrosiers",
"P.",
""
],
[
"Lapointe",
"L.",
""
],
[
"Mathieu",
"P.",
""
]
] |
We call superpartitions the indices of the eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland model. We obtain an ordering on superpartitions from the explicit action of the model's Hamiltonian on monomial superfunctions. This allows to define Jack superpolynomials as the unique eigenfunctions of the model that decompose triangularly, with respect to this ordering, on the basis of monomial superfunctions. This further leads to a simple and explicit determinantal expression for the Jack superpolynomials.
|
1407.1867
|
Mboyo Esole
|
Mboyo Esole, Shu-Heng Shao, Shing-Tung Yau
|
Singularities and Gauge Theory Phases II
|
v2: 48 pages, 20 figures; typos corrected, refs added, 1 figure
added, note added at the end of the introduction
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple algebraic construction of all the small resolutions for
the SU(5) Weierstrass model. Each resolution corresponds to a subchamber on the
Coulomb branch of the five-dimensional N=1 SU(5) gauge theory with matter
fields in the fundamental and two-index antisymmetric representations. This
construction unifies all previous resolutions found in the literature in a
single framework.
|
[
{
"created": "Mon, 7 Jul 2014 20:24:24 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 19:34:08 GMT",
"version": "v2"
}
] |
2014-07-22
|
[
[
"Esole",
"Mboyo",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Yau",
"Shing-Tung",
""
]
] |
We present a simple algebraic construction of all the small resolutions for the SU(5) Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N=1 SU(5) gauge theory with matter fields in the fundamental and two-index antisymmetric representations. This construction unifies all previous resolutions found in the literature in a single framework.
|
1809.06618
|
Jakob Moritz
|
Jakob Moritz, Ander Retolaza, Alexander Westphal
|
On uplifts by warped anti-D3-branes
|
Latex, revtex, 4 pages, 1 figure, v2: references added, minor
clarifications
| null |
10.1002/prop.201800098
|
DESY-18-165
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we outline the arguments against the ten-dimensional consistency
of the simplest types of KKLT de Sitter vacua, as given in arXiv:1707.08678. We
comment on parametrization proposals within four-dimensional supergravity and
express our disagreement with the recent criticism by the authors of
arXiv:1808.09428.
|
[
{
"created": "Tue, 18 Sep 2018 09:48:15 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Sep 2018 17:51:17 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Moritz",
"Jakob",
""
],
[
"Retolaza",
"Ander",
""
],
[
"Westphal",
"Alexander",
""
]
] |
In this note we outline the arguments against the ten-dimensional consistency of the simplest types of KKLT de Sitter vacua, as given in arXiv:1707.08678. We comment on parametrization proposals within four-dimensional supergravity and express our disagreement with the recent criticism by the authors of arXiv:1808.09428.
|
2403.15326
|
Paul Merrikin
|
Paul Merrikin
|
Marginally deformed AdS$_5$/CFT$_4$ Backgrounds in Type IIB
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Multi-parameter families of $\mathcal{N}=0$ Type IIA and Type IIB AdS$_5$
solutions are presented, promoting to $\mathcal{N}=1$ in some special cases.
The G-Structure description of each $\mathcal{N}=1$ solution is given,
requiring an Abelian T-Duality of the G-Structure conditions and Pure Spinors.
Investigations at the boundaries are performed for a two-parameter family of
Type IIA and a three-parameter family of Type IIB solutions, finding the
presence of orbifold singularities in some backgrounds. All parameters drop out
of the Holographic Central Charge calculation, pointing to marginal
deformations in the dual CFT description.
|
[
{
"created": "Fri, 22 Mar 2024 16:31:49 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2024 13:53:40 GMT",
"version": "v2"
}
] |
2024-05-28
|
[
[
"Merrikin",
"Paul",
""
]
] |
Multi-parameter families of $\mathcal{N}=0$ Type IIA and Type IIB AdS$_5$ solutions are presented, promoting to $\mathcal{N}=1$ in some special cases. The G-Structure description of each $\mathcal{N}=1$ solution is given, requiring an Abelian T-Duality of the G-Structure conditions and Pure Spinors. Investigations at the boundaries are performed for a two-parameter family of Type IIA and a three-parameter family of Type IIB solutions, finding the presence of orbifold singularities in some backgrounds. All parameters drop out of the Holographic Central Charge calculation, pointing to marginal deformations in the dual CFT description.
|
2005.05877
|
Matin Mojaza
|
Raffaele Marotta and Matin Mojaza
|
Double-soft behavior of massless closed strings interacting with any
number of closed string tachyons
|
36 pages, 6 figures, 2 appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the simultaneous double-soft limit of two massless closed
strings scattering with any number of closed string tachyons to the subleading
order at the tree level. The limit factorizes the scattering amplitude into a
double-soft factor multiplying the pure tachyon subamplitude, suggesting a
universal double-soft theorem for the massless closed string. We confirm an
existing result for the double-soft graviton in an on-shell equivalent, but
different form, while also establishing the double-soft factorization behavior
of the string dilaton and of the Kalb-Ramond state, as well as the mixed
graviton-dilaton case. We also show that the simultaneous and consecutive
double-soft theorems are consistent with each other. We furthermore provide a
complete field theory diagrammatic view on our result, which enables us in
particular to establish a four-point interaction vertex for two tachyons and
two massless closed string states, as well as the missing in field theory of
three-point interaction of two massless closed string state and one tachyon.
|
[
{
"created": "Tue, 12 May 2020 15:50:59 GMT",
"version": "v1"
}
] |
2020-05-13
|
[
[
"Marotta",
"Raffaele",
""
],
[
"Mojaza",
"Matin",
""
]
] |
We calculate the simultaneous double-soft limit of two massless closed strings scattering with any number of closed string tachyons to the subleading order at the tree level. The limit factorizes the scattering amplitude into a double-soft factor multiplying the pure tachyon subamplitude, suggesting a universal double-soft theorem for the massless closed string. We confirm an existing result for the double-soft graviton in an on-shell equivalent, but different form, while also establishing the double-soft factorization behavior of the string dilaton and of the Kalb-Ramond state, as well as the mixed graviton-dilaton case. We also show that the simultaneous and consecutive double-soft theorems are consistent with each other. We furthermore provide a complete field theory diagrammatic view on our result, which enables us in particular to establish a four-point interaction vertex for two tachyons and two massless closed string states, as well as the missing in field theory of three-point interaction of two massless closed string state and one tachyon.
|
1103.4100
|
Andrei Mironov
|
A.Alexandrov, A.Mironov, A.Morozov and S.Natanzon
|
Integrability of Hurwitz Partition Functions. I. Summary
|
10 pages
|
J. Phys. A: Math. Theor. 45 (2012) 045209
|
10.1088/1751-8113/45/4/045209
|
FIAN/TD-02/11; ITEP/TH-06/11; LPT ENS-11/11
|
hep-th math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Partition functions often become \tau-functions of integrable hierarchies, if
they are considered dependent on infinite sets of parameters called time
variables. The Hurwitz partition functions Z = \sum_R
d_R^{2-k}\chi_R(t^{(1)})...\chi_R(t^{(k)})\exp(\sum_n \xi_nC_R(n)) depend on
two types of such time variables, t and \xi. KP/Toda integrability in t
requires that k\leq 2 and also that C_R(n) are selected in a rather special
way, in particular the naive cut-and-join operators are not allowed for n>2.
Integrability in \xi further restricts the choice of C_R(n), forbidding, for
example, the free cumulants. It also requires that k\leq 1. The quasiclassical
integrability (the WDVV equations) is naturally present in \xi variables, but
also requires a careful definition of the generating function.
|
[
{
"created": "Mon, 21 Mar 2011 18:28:18 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Alexandrov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Natanzon",
"S.",
""
]
] |
Partition functions often become \tau-functions of integrable hierarchies, if they are considered dependent on infinite sets of parameters called time variables. The Hurwitz partition functions Z = \sum_R d_R^{2-k}\chi_R(t^{(1)})...\chi_R(t^{(k)})\exp(\sum_n \xi_nC_R(n)) depend on two types of such time variables, t and \xi. KP/Toda integrability in t requires that k\leq 2 and also that C_R(n) are selected in a rather special way, in particular the naive cut-and-join operators are not allowed for n>2. Integrability in \xi further restricts the choice of C_R(n), forbidding, for example, the free cumulants. It also requires that k\leq 1. The quasiclassical integrability (the WDVV equations) is naturally present in \xi variables, but also requires a careful definition of the generating function.
|
0806.2626
|
Jan Gutowski
|
Jai Grover, Jan B. Gutowski, Carlos A. R. Herdeiro, Wafic Sabra
|
HKT Geometry and de Sitter Supergravity
|
26 pages, latex
|
Nucl.Phys.B809:406-425,2009
|
10.1016/j.nuclphysb.2008.08.024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Solutions of five dimensional minimal de Sitter supergravity admitting
Killing spinors are considered. It is shown that the "timelike'' solutions are
determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold.
If the HKT manifold is conformally hyper-Kahler the most general solution can
be obtained from a sub-class of supersymmetric solutions of minimal N=2
ungauged supergravity, by means of a simple transformation. Examples include a
multi-BMPV de Sitter solution, describing multiple rotating black holes
co-moving with the expansion of the universe. If the HKT manifold is not
conformally hyper-Kahler, examples admitting a tri-holomorphic Killing vector
field are constructed in terms of certain solutions of three dimensional
Einstein-Weyl geometry.
|
[
{
"created": "Mon, 16 Jun 2008 17:05:11 GMT",
"version": "v1"
}
] |
2009-01-26
|
[
[
"Grover",
"Jai",
""
],
[
"Gutowski",
"Jan B.",
""
],
[
"Herdeiro",
"Carlos A. R.",
""
],
[
"Sabra",
"Wafic",
""
]
] |
Solutions of five dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the "timelike'' solutions are determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold. If the HKT manifold is conformally hyper-Kahler the most general solution can be obtained from a sub-class of supersymmetric solutions of minimal N=2 ungauged supergravity, by means of a simple transformation. Examples include a multi-BMPV de Sitter solution, describing multiple rotating black holes co-moving with the expansion of the universe. If the HKT manifold is not conformally hyper-Kahler, examples admitting a tri-holomorphic Killing vector field are constructed in terms of certain solutions of three dimensional Einstein-Weyl geometry.
|
2007.11925
|
Peter West
|
Peter West
|
Kac-Moody algebras and the cosmological constant
| null | null |
10.1016/j.physletb.2020.135744
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the theory of gravity constructed from the non-linear
realisation of the semi-direct product of the Kac-Moody algebra A1+++ with its
vector representation does not allow a cosmological constant. The existence of
a cosmological constant in this theory is related to the breaking of the
gravitational duality symmetry.
|
[
{
"created": "Thu, 23 Jul 2020 10:55:45 GMT",
"version": "v1"
}
] |
2020-09-02
|
[
[
"West",
"Peter",
""
]
] |
We show that the theory of gravity constructed from the non-linear realisation of the semi-direct product of the Kac-Moody algebra A1+++ with its vector representation does not allow a cosmological constant. The existence of a cosmological constant in this theory is related to the breaking of the gravitational duality symmetry.
|
1412.4750
|
Silvia Nagy
|
S. Nagy
|
Chiral Squaring
|
15 pages, 1 figure , references added, updated to match version in
JHEP
|
JHEP 1607 (2016) 142
|
10.1007/JHEP07(2016)142
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the states and symmetries of N = 4 super-Yang-Mills by tensoring
two N = 1 chiral multiplets and introducing two extra SUSY generators. This
allows us to write the maximal N = 8 supergravity as four copies of the chiral
multiplet. We extend this to higher dimensions and discuss applications to
scattering amplitudes.
|
[
{
"created": "Mon, 15 Dec 2014 20:24:51 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2016 10:54:05 GMT",
"version": "v2"
}
] |
2016-08-29
|
[
[
"Nagy",
"S.",
""
]
] |
We construct the states and symmetries of N = 4 super-Yang-Mills by tensoring two N = 1 chiral multiplets and introducing two extra SUSY generators. This allows us to write the maximal N = 8 supergravity as four copies of the chiral multiplet. We extend this to higher dimensions and discuss applications to scattering amplitudes.
|
hep-th/0401092
|
Peter Freund
|
Peter G. O. Freund
|
Physics and Geometry
|
This paper is based on invited talks given by the author at the
Gunnar Nordstr\"{o}m Symposium on Theoretical Physics at the University of
Helsinki, Helsinki, Finland on August 28, 2003 and at the Freydoon Mansouri
Memorial Session of the 3rd International Symposium on Quantum Theory and
Symmetries at the University of Cincinnati, Cincinnati, OH, on September 13,
2003
| null | null |
EFI03-47
|
hep-th
| null |
Our understanding of the four basic concepts of Physics -- space, time,
matter and force -- has undergone radical change in the course of work on
unification, starting with Maxwell's unification of electricity with magnetism,
all the way to present day string theory. What started as four independent
concepts, with space and time postulated and the possible forms of matter and
force arbitrarily chosen, now appear as different aspects of a rich and novel
dynamically determined structure.
|
[
{
"created": "Tue, 13 Jan 2004 22:14:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Freund",
"Peter G. O.",
""
]
] |
Our understanding of the four basic concepts of Physics -- space, time, matter and force -- has undergone radical change in the course of work on unification, starting with Maxwell's unification of electricity with magnetism, all the way to present day string theory. What started as four independent concepts, with space and time postulated and the possible forms of matter and force arbitrarily chosen, now appear as different aspects of a rich and novel dynamically determined structure.
|
hep-th/9601046
|
Jimmy Williams
|
George Leibbrandt and Jimmy Williams (U. of Guelph, Canada)
|
Split Dimensional Regularization for the Coulomb Gauge
|
19 pages, 2 figures, 1 table, 72 references. This Replaced version
clarifies why the Coulomb gauge requires a new type of regularization, and
why our new regularization is compatible with Wick rotation. Results and
table of integrals are unchanged. To appear in Nuclear Physics B
|
Nucl.Phys. B475 (1996) 469-483
|
10.1016/0550-3213(96)00299-4
|
Guelph Mathematical Series 1995-151
|
hep-th
| null |
A new procedure for regularizing Feynman integrals in the noncovariant
Coulomb gauge is proposed for Yang-Mills theory. The procedure is based on a
variant of dimensional regularization, called split dimensional regularization,
which leads to internally consistent, ambiguity-free integrals. It is
demonstrated that split dimensional regularization yields a one-loop Yang-Mills
self-energy that is nontransverse, but local. Despite the noncovariant nature
of the Coulomb gauge, ghosts are necessary in order to satisfy the appropriate
Ward/BRS identity. The computed Coulomb-gauge Feynman integrals are applicable
to both Abelian and non-Abelian gauge models.
PACS: 11.15, 12.38.C
|
[
{
"created": "Wed, 10 Jan 1996 19:38:15 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 1996 21:39:44 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Leibbrandt",
"George",
"",
"U. of Guelph, Canada"
],
[
"Williams",
"Jimmy",
"",
"U. of Guelph, Canada"
]
] |
A new procedure for regularizing Feynman integrals in the noncovariant Coulomb gauge is proposed for Yang-Mills theory. The procedure is based on a variant of dimensional regularization, called split dimensional regularization, which leads to internally consistent, ambiguity-free integrals. It is demonstrated that split dimensional regularization yields a one-loop Yang-Mills self-energy that is nontransverse, but local. Despite the noncovariant nature of the Coulomb gauge, ghosts are necessary in order to satisfy the appropriate Ward/BRS identity. The computed Coulomb-gauge Feynman integrals are applicable to both Abelian and non-Abelian gauge models. PACS: 11.15, 12.38.C
|
1307.4049
|
Callum Quigley
|
Callum Quigley
|
Heterotic Flux Geometry from Chiral Gauge Dynamics
|
PhD thesis, 190 pages, 29 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much
broader, and more interesting, class of vacuum solutions than their better
studied (2,2) counterparts. In this thesis, we will explore some of the
possibilities that are offered by this additional freedom by including
field-dependent theta-angles and FI parameters. The moduli spaces that will
result from this procedure correspond to heterotic string backgrounds with
non-trivial H-flux and NS-brane sources. Along the way, a remarkable
relationship between (0,2) gauge anomalies and H-flux will emerge.
|
[
{
"created": "Mon, 15 Jul 2013 18:40:03 GMT",
"version": "v1"
}
] |
2013-07-16
|
[
[
"Quigley",
"Callum",
""
]
] |
Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts. In this thesis, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters. The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources. Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.
|
hep-th/0101158
|
Ilya Shapiro
|
G. de Berredo-Peixoto and I.L. Shapiro
|
On the high derivative fermionic operator and trace anomaly
|
9 pages, LaTeX, no figures
|
Phys.Lett.B514:377-384,2001
|
10.1016/S0370-2693(01)00801-2
|
DF/UFJF-00/09
|
hep-th gr-qc math-ph math.MP
| null |
We construct a new example of the high derivative four-dimensional conformal
operator. This operator acts on fermions, and its contribution to the trace
anomaly has opposite sign, as compared to conventional scalars, spinors and
vectors. Possible generalizations and applications are discussed.
|
[
{
"created": "Wed, 24 Jan 2001 13:27:15 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"de Berredo-Peixoto",
"G.",
""
],
[
"Shapiro",
"I. L.",
""
]
] |
We construct a new example of the high derivative four-dimensional conformal operator. This operator acts on fermions, and its contribution to the trace anomaly has opposite sign, as compared to conventional scalars, spinors and vectors. Possible generalizations and applications are discussed.
|
1301.3604
|
Yong-Wan Kim
|
Yong-Wan Kim, Yun Soo Myung, Young-Jai Park
|
Massive logarithmic graviton in the critical generalized massive gravity
|
11 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the generalized massive gravity in three dimensional flat spacetime.
A massive logarithmic mode is propagating in the flat spacetime at the critical
point where two masses degenerate. Furthermore, we discuss the logarithmic
extension of the Galilean conformal algebra (GCA) which may arise from the
exotic and standard rank-2 logarithmic conformal field theory (LCFT) on the
boundary of AdS3 spacetime.
|
[
{
"created": "Wed, 16 Jan 2013 07:20:41 GMT",
"version": "v1"
}
] |
2013-01-17
|
[
[
"Kim",
"Yong-Wan",
""
],
[
"Myung",
"Yun Soo",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We study the generalized massive gravity in three dimensional flat spacetime. A massive logarithmic mode is propagating in the flat spacetime at the critical point where two masses degenerate. Furthermore, we discuss the logarithmic extension of the Galilean conformal algebra (GCA) which may arise from the exotic and standard rank-2 logarithmic conformal field theory (LCFT) on the boundary of AdS3 spacetime.
|
1711.04361
|
Raoul Santachiara
|
Vladimir Belavin, Yoshishige Haraoka and Raoul Santachiara
|
Rigid Fuchsian systems in 2-dimensional conformal field theories
|
49 pages
| null |
10.1007/s00220-018-3274-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate Fuchsian equations arising in the context of 2-dimensional
conformal field theory (CFT) and we apply the Katz theory of Fucshian rigid
systems to solve some of these equations. We show that the Katz theory provides
a precise mathematical framework to answer the question whether the fusion
rules of degenerate primary fields are enough for determining the differential
equations satisfied by their correlation functions. We focus on the case of W3
Toda CFT: we argue that the differential equations arising for four-point
conformal blocks with one n-th level semi-degenerate field and a
fully-degenerate one in the fundamental sl3 representation are associated to
Fuchsian rigid systems. We show how to apply Katz theory to determine the
explicit form of the differential equations, the integral expression of
solutions and the monodromy group representation. The theory of twisted
homology is also used in the analysis of the integral expression. This approach
allows to construct the corresponding fusion matrices and to perform the whole
bootstrap program: new explicit factorization of W3 correlation functions as
well shift relations between structure constants are also provided.
|
[
{
"created": "Sun, 12 Nov 2017 21:28:05 GMT",
"version": "v1"
}
] |
2018-11-14
|
[
[
"Belavin",
"Vladimir",
""
],
[
"Haraoka",
"Yoshishige",
""
],
[
"Santachiara",
"Raoul",
""
]
] |
We investigate Fuchsian equations arising in the context of 2-dimensional conformal field theory (CFT) and we apply the Katz theory of Fucshian rigid systems to solve some of these equations. We show that the Katz theory provides a precise mathematical framework to answer the question whether the fusion rules of degenerate primary fields are enough for determining the differential equations satisfied by their correlation functions. We focus on the case of W3 Toda CFT: we argue that the differential equations arising for four-point conformal blocks with one n-th level semi-degenerate field and a fully-degenerate one in the fundamental sl3 representation are associated to Fuchsian rigid systems. We show how to apply Katz theory to determine the explicit form of the differential equations, the integral expression of solutions and the monodromy group representation. The theory of twisted homology is also used in the analysis of the integral expression. This approach allows to construct the corresponding fusion matrices and to perform the whole bootstrap program: new explicit factorization of W3 correlation functions as well shift relations between structure constants are also provided.
|
0902.3973
|
Bianca Letizia Cerchiai
|
Bianca L. Cerchiai, Sergio Ferrara, Alessio Marrani and Bruno Zumino
|
Duality, Entropy and ADM Mass in Supergravity
|
45 pages, typos corrected, references added
|
Phys.Rev.D79:125010,2009
|
10.1103/PhysRevD.79.125010
|
UCB-PTH-09/05, LBNL-1936E, CERN-PH-TH/2009-001, SU-ITP-09/04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the Bekenstein-Hawking entropy-area formula in four dimensional
extended ungauged supergravity and its electric-magnetic duality property.
Symmetries of both "large" and "small" extremal black holes are considered, as
well as the ADM mass formula for N=4 and N=8 supergravity, preserving different
fraction of supersymmetry. The interplay between BPS conditions and duality
properties is an important aspect of this investigation.
|
[
{
"created": "Mon, 23 Feb 2009 18:46:30 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jun 2009 17:50:22 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Cerchiai",
"Bianca L.",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Zumino",
"Bruno",
""
]
] |
We consider the Bekenstein-Hawking entropy-area formula in four dimensional extended ungauged supergravity and its electric-magnetic duality property. Symmetries of both "large" and "small" extremal black holes are considered, as well as the ADM mass formula for N=4 and N=8 supergravity, preserving different fraction of supersymmetry. The interplay between BPS conditions and duality properties is an important aspect of this investigation.
|
1812.05097
|
Sylvester Gates Jr.
|
S. James Gates, Jr., Yangrui Hu, Hanzhi Jiang, and S.-N. Hazel Mak
|
On Linearized Nordstr\"om Supergravity in Eleven and Ten Dimensional
Superspaces
|
31 pages, 0 figures, LaTeX twice, corrected transcriptions in
equations (3.10) and (3.14), typos corrected, all superspace torsions and
curvatures further simplified. Latest revision adds discussion to previous
work of 1977 and consideration of conformal flatness
| null | null |
Brown Univ. HET-1779
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As the full off-shell theories of supergravity in the important dimensions of
eleven and ten dimensions are currently unknown, we introduce a superfield
formalism as a foundation and experimental laboratory to explore the
possibility that the scalar versions of the higher dimensional supergravitation
theory can be constructed.
|
[
{
"created": "Thu, 13 Dec 2018 18:45:46 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2019 10:21:10 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Apr 2019 06:59:56 GMT",
"version": "v3"
},
{
"created": "Wed, 22 May 2019 23:11:18 GMT",
"version": "v4"
}
] |
2019-05-24
|
[
[
"Gates,",
"S. James",
"Jr."
],
[
"Hu",
"Yangrui",
""
],
[
"Jiang",
"Hanzhi",
""
],
[
"Mak",
"S. -N. Hazel",
""
]
] |
As the full off-shell theories of supergravity in the important dimensions of eleven and ten dimensions are currently unknown, we introduce a superfield formalism as a foundation and experimental laboratory to explore the possibility that the scalar versions of the higher dimensional supergravitation theory can be constructed.
|
2307.07545
|
Thimo Preis
|
Michal P. Heller, Aleksas Mazeliauskas, and Thimo Preis
|
Prescaling relaxation to nonthermal attractors
|
5 pages, 3 figures, 5 pages Appendix, PRL version (minor changes)
|
Phys. Rev. Lett. 132, 071602 (2024)
|
10.1103/PhysRevLett.132.071602
| null |
hep-th cond-mat.quant-gas hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how isotropic and homogeneous far-from-equilibrium quantum systems
relax to nonthermal attractors, which are of interest for cold atoms and
nuclear collisions. We demonstrate that a first-order ordinary differential
equation governs the self-similar approach to nonthermal attractors, i.e., the
prescaling. We also show that certain natural scaling-breaking terms induce
logarithmically slow corrections that prevent the scaling exponents from
reaching the constant values during the system's lifetime. We propose that,
analogously to hydrodynamic attractors, the appropriate mathematical structure
to describe such dynamics is the transseries. We verify our analytic
predictions with state-of-the-art 2PI simulations of the large-N vector model
and QCD kinetic theory.
|
[
{
"created": "Fri, 14 Jul 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2024 17:50:13 GMT",
"version": "v2"
}
] |
2024-02-19
|
[
[
"Heller",
"Michal P.",
""
],
[
"Mazeliauskas",
"Aleksas",
""
],
[
"Preis",
"Thimo",
""
]
] |
We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation governs the self-similar approach to nonthermal attractors, i.e., the prescaling. We also show that certain natural scaling-breaking terms induce logarithmically slow corrections that prevent the scaling exponents from reaching the constant values during the system's lifetime. We propose that, analogously to hydrodynamic attractors, the appropriate mathematical structure to describe such dynamics is the transseries. We verify our analytic predictions with state-of-the-art 2PI simulations of the large-N vector model and QCD kinetic theory.
|
1612.07798
|
Matias Leoni
|
Marco S. Bianchi, Matias Leoni
|
The canonical form has got baubles
|
16 pages, 1 figure
| null | null |
QMUL-PH-16-24
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The method of differential equations in canonical form has proven a powerful
tool for solving multiloop Feynman integrals. In this note we test this
procedure away from four dimensions. Namely, we consider the simple example of
a massless doublebox, expanded in dimensional regularization around six
dimensions. We achieve a canonical form for the relevant master integrals and
solve them in terms of harmonic polylogarithms up to transcendental order 9.
The integral basis of uniform transcendentality requires increasing indices of
propagators. According to the standard graphical jargon, this amounts to
decorating the integrals with baubles, like on Christmas trees, or rather loops
in this case. The results can be useful for studying amplitudes in six
dimensions.
|
[
{
"created": "Thu, 22 Dec 2016 20:59:40 GMT",
"version": "v1"
}
] |
2016-12-23
|
[
[
"Bianchi",
"Marco S.",
""
],
[
"Leoni",
"Matias",
""
]
] |
The method of differential equations in canonical form has proven a powerful tool for solving multiloop Feynman integrals. In this note we test this procedure away from four dimensions. Namely, we consider the simple example of a massless doublebox, expanded in dimensional regularization around six dimensions. We achieve a canonical form for the relevant master integrals and solve them in terms of harmonic polylogarithms up to transcendental order 9. The integral basis of uniform transcendentality requires increasing indices of propagators. According to the standard graphical jargon, this amounts to decorating the integrals with baubles, like on Christmas trees, or rather loops in this case. The results can be useful for studying amplitudes in six dimensions.
|
1702.04148
|
Marco Serone
|
Marco Serone, Gabriele Spada, Giovanni Villadoro
|
The Power of Perturbation Theory
|
v1: 42 pages, 8 figures; v2: 43 pages, 9 figures, minor improvements
and references added, matches JHEP published version; v3: minor corrections
and references added
| null |
10.1007/JHEP05(2017)056
| null |
hep-th cond-mat.stat-mech hep-ph math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study quantum mechanical systems with a discrete spectrum. We show that
the asymptotic series associated to certain paths of steepest-descent
(Lefschetz thimbles) are Borel resummable to the full result. Using a
geometrical approach based on the Picard-Lefschetz theory we characterize the
conditions under which perturbative expansions lead to exact results. Even when
such conditions are not met, we explain how to define a different perturbative
expansion that reproduces the full answer without the need of transseries, i.e.
non-perturbative effects, such as real (or complex) instantons. Applications to
several quantum mechanical systems are presented.
|
[
{
"created": "Tue, 14 Feb 2017 10:42:01 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2017 11:42:34 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Jan 2018 16:28:40 GMT",
"version": "v3"
}
] |
2018-02-01
|
[
[
"Serone",
"Marco",
""
],
[
"Spada",
"Gabriele",
""
],
[
"Villadoro",
"Giovanni",
""
]
] |
We study quantum mechanical systems with a discrete spectrum. We show that the asymptotic series associated to certain paths of steepest-descent (Lefschetz thimbles) are Borel resummable to the full result. Using a geometrical approach based on the Picard-Lefschetz theory we characterize the conditions under which perturbative expansions lead to exact results. Even when such conditions are not met, we explain how to define a different perturbative expansion that reproduces the full answer without the need of transseries, i.e. non-perturbative effects, such as real (or complex) instantons. Applications to several quantum mechanical systems are presented.
|
hep-th/0503079
|
Juan F. Garcia-Cascales
|
Juan F. G. Cascales, Fouad Saad, Angel M. Uranga
|
Holographic dual of the Standard Model on the throat
|
46 pages, 21 figures, reference added
|
JHEP 0511:047,2005
|
10.1088/1126-6708/2005/11/047
|
IFT-UAM/CSIC-05-10 ; CERN-TH-PH/2005-038
|
hep-th hep-ph
| null |
We apply recent techniques to construct geometries, based on local Calabi-Yau
manifolds, leading to warped throats with 3-form fluxes in string theory, with
interesting structure at their bottom. We provide their holographic dual
description in terms of RG flows for gauge theories with almost conformal
duality cascades and infrared confinement. We describe a model of a throat with
D-branes at its bottom, realizing a 3-family Standard Model like chiral sector.
We provide the explicit holographic dual gauge theory RG flow, and describe the
appearance of the SM degrees of freedom after confinement. As a second
application, we describe throats within throats, namely warped throats with
discontinuous warp factor in different regions of the radial coordinate, and
discuss possible model building applications.
|
[
{
"created": "Wed, 9 Mar 2005 09:15:27 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2005 16:32:47 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Cascales",
"Juan F. G.",
""
],
[
"Saad",
"Fouad",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
We apply recent techniques to construct geometries, based on local Calabi-Yau manifolds, leading to warped throats with 3-form fluxes in string theory, with interesting structure at their bottom. We provide their holographic dual description in terms of RG flows for gauge theories with almost conformal duality cascades and infrared confinement. We describe a model of a throat with D-branes at its bottom, realizing a 3-family Standard Model like chiral sector. We provide the explicit holographic dual gauge theory RG flow, and describe the appearance of the SM degrees of freedom after confinement. As a second application, we describe throats within throats, namely warped throats with discontinuous warp factor in different regions of the radial coordinate, and discuss possible model building applications.
|
hep-th/0601234
|
Seiberg
|
Nathan Seiberg
|
Emergent Spacetime
|
Rapporteur talk at the 23rd Solvay Conference in Physics, December,
2005. 24 pages
| null |
10.1142/9789812706768_0005
| null |
hep-th
| null |
We summarize the arguments that space and time are likely to be emergent
notions; i.e. they are not present in the fundamental formulation of the
theory, but appear as approximate macroscopic concepts. Along the way we
briefly review certain topics. These include ambiguities in the geometry and
the topology of space which arise from dualities, questions associated with
locality, various known examples of emergent space, and the puzzles and the
prospects of emergent time.
|
[
{
"created": "Tue, 31 Jan 2006 12:45:33 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Seiberg",
"Nathan",
""
]
] |
We summarize the arguments that space and time are likely to be emergent notions; i.e. they are not present in the fundamental formulation of the theory, but appear as approximate macroscopic concepts. Along the way we briefly review certain topics. These include ambiguities in the geometry and the topology of space which arise from dualities, questions associated with locality, various known examples of emergent space, and the puzzles and the prospects of emergent time.
|
hep-th/9301017
| null |
K. Becker and M. Becker
|
Nonperturbative Solution of the Super-Virasoro Constraints
|
12 pages, CERN-TH.6761/92
|
Mod.Phys.Lett. A8 (1993) 1205-1214
|
10.1142/S0217732393002695
| null |
hep-th
| null |
We present the solution of the discrete super-Virasoro constraints to all
orders of the genus expansion. Integrating over the fermionic variables we get
a representation of the partition function in terms of the one-matrix model. We
also obtain the nonperturbative solution of the super-Virasoro constraints in
the double scaling limit but do not find agreement between our flows and the
known supersymmetric extensions of KdV.
|
[
{
"created": "Wed, 6 Jan 1993 19:06:12 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Becker",
"K.",
""
],
[
"Becker",
"M.",
""
]
] |
We present the solution of the discrete super-Virasoro constraints to all orders of the genus expansion. Integrating over the fermionic variables we get a representation of the partition function in terms of the one-matrix model. We also obtain the nonperturbative solution of the super-Virasoro constraints in the double scaling limit but do not find agreement between our flows and the known supersymmetric extensions of KdV.
|
0906.3608
|
Yun-Song Piao
|
Sheng Li, Yang Liu, Yun-Song Piao
|
Inflation in a Web
|
6 pages, 1 eps figure, some clarifications added and language
improved, to published in PRD
|
Phys.Rev.D80:123535,2009
|
10.1103/PhysRevD.80.123535
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a given path with multiple branches, in principle, it can be expected that
there are some fork points, where one branch is bifurcated into different
branches, or various branches converge into one or several branches. In this
paper, it is showed that if there is a web formed by such branches in a given
field space, in which each branch can be responsible for a period of slow roll
inflation, a multiverse separated by domain wall network will come into being,
some of which might corresponds to our observable universe. We discuss this
scenario and show possible observations of a given observer at late time.
|
[
{
"created": "Fri, 19 Jun 2009 09:07:59 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Nov 2009 13:11:09 GMT",
"version": "v2"
}
] |
2010-01-07
|
[
[
"Li",
"Sheng",
""
],
[
"Liu",
"Yang",
""
],
[
"Piao",
"Yun-Song",
""
]
] |
In a given path with multiple branches, in principle, it can be expected that there are some fork points, where one branch is bifurcated into different branches, or various branches converge into one or several branches. In this paper, it is showed that if there is a web formed by such branches in a given field space, in which each branch can be responsible for a period of slow roll inflation, a multiverse separated by domain wall network will come into being, some of which might corresponds to our observable universe. We discuss this scenario and show possible observations of a given observer at late time.
|
1504.00225
|
Alessandro Codello
|
Alessandro Codello and Alberto Tonero
|
A renormalization group improved computation of correlation functions in
theories with non-trivial phase diagram
|
8 pages, 3 figures; v2: references added
|
Phys. Rev. D 94, 025015 (2016)
|
10.1103/PhysRevD.94.025015
|
CP3-Origins-2015-006 DNRF90 and DIAS-2015-6
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple and consistent way to compute correlation functions in
interacting theories with non-trivial phase diagram. As an example we show how
to consistently compute the four-point function in three dimensional
$\mathbb{Z}_2$-scalar theories. The idea is to perform the path integral by
weighting the momentum modes that contribute to it according to their
renormalization group (RG) relevance, i.e. we weight each mode according to the
value of the running couplings at that scale. In this way, we are able encode
in a loop computation the information regarding the RG trajectory along which
we are integrating. We show that depending on the initial condition, or initial
point in the phase diagram, we obtain different behaviors of the four-point
function at the end point of the flow.
|
[
{
"created": "Wed, 1 Apr 2015 13:31:42 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2015 17:29:34 GMT",
"version": "v2"
}
] |
2016-07-13
|
[
[
"Codello",
"Alessandro",
""
],
[
"Tonero",
"Alberto",
""
]
] |
We present a simple and consistent way to compute correlation functions in interacting theories with non-trivial phase diagram. As an example we show how to consistently compute the four-point function in three dimensional $\mathbb{Z}_2$-scalar theories. The idea is to perform the path integral by weighting the momentum modes that contribute to it according to their renormalization group (RG) relevance, i.e. we weight each mode according to the value of the running couplings at that scale. In this way, we are able encode in a loop computation the information regarding the RG trajectory along which we are integrating. We show that depending on the initial condition, or initial point in the phase diagram, we obtain different behaviors of the four-point function at the end point of the flow.
|
2306.06160
|
Sven Krippendorf
|
Abhishek Dubey, Sven Krippendorf, Andreas Schachner
|
JAXVacua -- A Framework for Sampling String Vacua
|
29 pages, 5 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Moduli stabilisation in string compactifications with many light scalars
remains a major blind-spot in the string landscape. In these regimes, analytic
methods cease to work for generic choices of UV parameters which is why
numerical techniques have to be exploited. In this paper, we implement
algorithms based on JAX, heavily utilising automatic differentiation,
just-in-time compilation and parallelisation features, to efficiently construct
string vacua. This implementation provides a golden opportunity to efficiently
analyse large unexplored regions of the string landscape. As a first example,
we apply our techniques to the search of Type IIB flux vacua in Calabi-Yau
orientifold compactifications. We argue that our methods only scale mildly with
the Hodge numbers making exhaustive studies of low energy effective field
theories with $\mathcal{O}(100)$ scalar fields feasible. Using small computing
resources, we are able to construct $\mathcal{O}(10^6)$ flux vacua per geometry
with $h^{1,2}\geq 2$, vastly out-performing previous systematic searches. In
particular, we showcase the efficiency of our methods by presenting generic
vacua with fluxes below the tadpole constraint set by the orientifold with up
to $h^{1,2}=25$ complex structure moduli.
|
[
{
"created": "Fri, 9 Jun 2023 18:00:00 GMT",
"version": "v1"
}
] |
2023-06-13
|
[
[
"Dubey",
"Abhishek",
""
],
[
"Krippendorf",
"Sven",
""
],
[
"Schachner",
"Andreas",
""
]
] |
Moduli stabilisation in string compactifications with many light scalars remains a major blind-spot in the string landscape. In these regimes, analytic methods cease to work for generic choices of UV parameters which is why numerical techniques have to be exploited. In this paper, we implement algorithms based on JAX, heavily utilising automatic differentiation, just-in-time compilation and parallelisation features, to efficiently construct string vacua. This implementation provides a golden opportunity to efficiently analyse large unexplored regions of the string landscape. As a first example, we apply our techniques to the search of Type IIB flux vacua in Calabi-Yau orientifold compactifications. We argue that our methods only scale mildly with the Hodge numbers making exhaustive studies of low energy effective field theories with $\mathcal{O}(100)$ scalar fields feasible. Using small computing resources, we are able to construct $\mathcal{O}(10^6)$ flux vacua per geometry with $h^{1,2}\geq 2$, vastly out-performing previous systematic searches. In particular, we showcase the efficiency of our methods by presenting generic vacua with fluxes below the tadpole constraint set by the orientifold with up to $h^{1,2}=25$ complex structure moduli.
|
hep-th/0410131
|
Oleg Andreev
|
Oleg Andreev and Warren Siegel
|
Quantized tension: Stringy amplitudes with Regge poles and parton
behavior
|
17 pages; a new section and references added
|
Phys.Rev. D71 (2005) 086001
|
10.1103/PhysRevD.71.086001
|
LANDAU-04/HEP-A1
|
hep-th hep-ph
| null |
We propose stringy hadronic amplitudes that combine some of the features of
sister trajectories and running tension. By summing over string amplitudes with
varying Regge trajectories that have integer tension and converging intercept,
we obtain parton hard-scattering and Regge soft-scattering behaviors, while
preserving discrete poles in both momentum and angular momentum.
|
[
{
"created": "Tue, 12 Oct 2004 10:13:06 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2005 19:17:31 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Andreev",
"Oleg",
""
],
[
"Siegel",
"Warren",
""
]
] |
We propose stringy hadronic amplitudes that combine some of the features of sister trajectories and running tension. By summing over string amplitudes with varying Regge trajectories that have integer tension and converging intercept, we obtain parton hard-scattering and Regge soft-scattering behaviors, while preserving discrete poles in both momentum and angular momentum.
|
1301.7009
|
Wang Qing
|
Chuan Li and Qing Wang
|
Amending the Vafa-Witten Theorem
|
6 pages
|
Phys.Lett.B721,141(2013)
|
10.1016/j.physletb.2013.02.050
|
TUHEP-TH-13178
|
hep-th hep-ph math-ph math.MP nucl-th
|
http://creativecommons.org/licenses/by/3.0/
|
The strong version of the Vafa-Witten theorem is shown may not to hold
because the zero condensate from a direct computation of the order parameter is
found to be a result on the symmetric vacuum. The validity of the Vafa-Witten
theorem relies then on its weak version, that the Goldstone boson is absent in
vector-like gauge theories with vanishing \theta-angle. The existence of a
charged \rho-meson condensate, which violates electromagnetic gauge symmetry,
is consistent with this weak version of the Vafa-Witten theorem when applied to
strong magnetic fields in QCD.
|
[
{
"created": "Tue, 29 Jan 2013 18:19:03 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2013 12:49:50 GMT",
"version": "v2"
}
] |
2013-03-28
|
[
[
"Li",
"Chuan",
""
],
[
"Wang",
"Qing",
""
]
] |
The strong version of the Vafa-Witten theorem is shown may not to hold because the zero condensate from a direct computation of the order parameter is found to be a result on the symmetric vacuum. The validity of the Vafa-Witten theorem relies then on its weak version, that the Goldstone boson is absent in vector-like gauge theories with vanishing \theta-angle. The existence of a charged \rho-meson condensate, which violates electromagnetic gauge symmetry, is consistent with this weak version of the Vafa-Witten theorem when applied to strong magnetic fields in QCD.
|
1812.01006
|
Xinan Zhou
|
Xinan Zhou
|
Recursion Relations in Witten Diagrams and Conformal Partial Waves
|
v1: 48 pages, 2 figures; v2: updated references, added in Appendix B
explicit expressions for the direct channel decomposition coefficients; v3:
published version
| null |
10.1007/JHEP05(2019)006
|
PUPT-2575
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the problem of performing conformal block decomposition of
exchange Witten diagrams in the crossed channel. Using properties of conformal
blocks and Witten diagrams, we discover infinitely many linear relations among
the crossed channel decomposition coefficients. These relations allow us to
formulate a recursive algorithm that solves the decomposition coefficients in
terms of certain seed coefficients. In one dimensional CFTs, the seed
coefficient is the decomposition coefficient of the double-trace operator with
the lowest conformal dimension. In higher dimensions, the seed coefficients are
the coefficients of the double-trace operators with the minimal conformal
twist. We also discuss the conformal block decomposition of a generic contact
Witten diagram with any number of derivatives. As a byproduct of our analysis,
we obtain a similar recursive algorithm for decomposing conformal partial waves
in the crossed channel.
|
[
{
"created": "Mon, 3 Dec 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2019 16:19:41 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Apr 2019 13:58:27 GMT",
"version": "v3"
}
] |
2019-05-22
|
[
[
"Zhou",
"Xinan",
""
]
] |
We revisit the problem of performing conformal block decomposition of exchange Witten diagrams in the crossed channel. Using properties of conformal blocks and Witten diagrams, we discover infinitely many linear relations among the crossed channel decomposition coefficients. These relations allow us to formulate a recursive algorithm that solves the decomposition coefficients in terms of certain seed coefficients. In one dimensional CFTs, the seed coefficient is the decomposition coefficient of the double-trace operator with the lowest conformal dimension. In higher dimensions, the seed coefficients are the coefficients of the double-trace operators with the minimal conformal twist. We also discuss the conformal block decomposition of a generic contact Witten diagram with any number of derivatives. As a byproduct of our analysis, we obtain a similar recursive algorithm for decomposing conformal partial waves in the crossed channel.
|
1607.08545
|
Munir Al-Hashimi
|
M.H. Al-Hashimi, A.M. Shalaby, and U.-J. Wiese
|
Majorana Fermions in a Box
|
23 pages, 2 figures
|
Phys. Rev. D 95, 065007 (2017)
|
10.1103/PhysRevD.95.065007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Majorana fermion dynamics may arise at the edge of Kitaev wires or
superconductors. Alternatively, it can be engineered by using trapped ions or
ultracold atoms in an optical lattice as quantum simulators. This motivates the
theoretical study of Majorana fermions confined to a finite volume, whose
boundary conditions are characterized by self-adjoint extension parameters.
While the boundary conditions for Dirac fermions in $(1+1)$-d are characterized
by a 1-parameter family, $\lambda = - \lambda^*$, of self-adjoint extensions,
for Majorana fermions $\lambda$ is restricted to $\pm i$. Based on this result,
we compute the frequency spectrum of Majorana fermions confined to a 1-d
interval. The boundary conditions for Dirac fermions confined to a 3-d region
of space are characterized by a 4-parameter family of self-adjoint extensions,
which is reduced to two distinct 1-parameter families for Majorana fermions. We
also consider the problems related to the quantum mechanical interpretation of
the Majorana equation as a single-particle equation. Furthermore, the equation
is related to a relativistic Schr\"odinger equation that does not suffer from
these problems.
|
[
{
"created": "Thu, 28 Jul 2016 17:48:12 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2016 00:20:26 GMT",
"version": "v2"
}
] |
2017-03-15
|
[
[
"Al-Hashimi",
"M. H.",
""
],
[
"Shalaby",
"A. M.",
""
],
[
"Wiese",
"U. -J.",
""
]
] |
Majorana fermion dynamics may arise at the edge of Kitaev wires or superconductors. Alternatively, it can be engineered by using trapped ions or ultracold atoms in an optical lattice as quantum simulators. This motivates the theoretical study of Majorana fermions confined to a finite volume, whose boundary conditions are characterized by self-adjoint extension parameters. While the boundary conditions for Dirac fermions in $(1+1)$-d are characterized by a 1-parameter family, $\lambda = - \lambda^*$, of self-adjoint extensions, for Majorana fermions $\lambda$ is restricted to $\pm i$. Based on this result, we compute the frequency spectrum of Majorana fermions confined to a 1-d interval. The boundary conditions for Dirac fermions confined to a 3-d region of space are characterized by a 4-parameter family of self-adjoint extensions, which is reduced to two distinct 1-parameter families for Majorana fermions. We also consider the problems related to the quantum mechanical interpretation of the Majorana equation as a single-particle equation. Furthermore, the equation is related to a relativistic Schr\"odinger equation that does not suffer from these problems.
|
hep-th/0608082
|
Xingang Chen
|
Xingang Chen, Sash Sarangi, S.-H. Henry Tye, Jiajun Xu
|
Is Brane Inflation Eternal?
|
32 pages; v2: references and comments added
|
JCAP0611:015,2006
|
10.1088/1475-7516/2006/11/015
|
CU-TP-1156; UFIFT-HEP-06-11
|
hep-th astro-ph gr-qc
| null |
In this paper, we show that eternal inflation of the random walk type is
generically absent in the brane inflationary scenario. Depending on how the
brane inflationary universe originated, eternal inflation of the false vacuum
type is still quite possible. Since the inflaton is the position of the
D3-brane relative to the anti-D3-brane inside the compactified bulk with finite
size, its value is bounded. In DBI inflation, the warped space also restricts
the amplitude of the scalar fluctuation. These upper bounds impose strong
constraints on the possibility of eternal inflation. We find that eternal
inflation due to the random walk of the inflaton field is absent in both the
KKLMMT slow roll scenario and the DBI scenario. A more careful analysis for the
slow-roll case is also presented using the Langevin equation, which gives very
similar results. We discuss possible ways to obtain eternal inflation of the
random walk type in brane inflation. In the multi-throat brane inflationary
scenario, the branes may be generated by quantum tunneling and roll out the
throat. Eternal inflation of the false vacuum type inevitably happens in this
scenario due to the tunneling process. Since these scenarios have different
cosmological predictions, more data from the cosmic microwave background
radiation will hopefully select the specific scenario our universe has gone
through.
|
[
{
"created": "Sun, 13 Aug 2006 02:40:08 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Aug 2006 00:24:03 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Chen",
"Xingang",
""
],
[
"Sarangi",
"Sash",
""
],
[
"Tye",
"S. -H. Henry",
""
],
[
"Xu",
"Jiajun",
""
]
] |
In this paper, we show that eternal inflation of the random walk type is generically absent in the brane inflationary scenario. Depending on how the brane inflationary universe originated, eternal inflation of the false vacuum type is still quite possible. Since the inflaton is the position of the D3-brane relative to the anti-D3-brane inside the compactified bulk with finite size, its value is bounded. In DBI inflation, the warped space also restricts the amplitude of the scalar fluctuation. These upper bounds impose strong constraints on the possibility of eternal inflation. We find that eternal inflation due to the random walk of the inflaton field is absent in both the KKLMMT slow roll scenario and the DBI scenario. A more careful analysis for the slow-roll case is also presented using the Langevin equation, which gives very similar results. We discuss possible ways to obtain eternal inflation of the random walk type in brane inflation. In the multi-throat brane inflationary scenario, the branes may be generated by quantum tunneling and roll out the throat. Eternal inflation of the false vacuum type inevitably happens in this scenario due to the tunneling process. Since these scenarios have different cosmological predictions, more data from the cosmic microwave background radiation will hopefully select the specific scenario our universe has gone through.
|
hep-th/9510242
|
Nam SoonKeon
|
Changhyun Ahn and Soonkeon Nam
|
Yangian Symmetries in the $SU(N)_1$ WZW Model and the
Calogero-Sutherland Model
|
12 pages, Latex; Errors in the previous version are corrected and new
results on spinons are included
|
Phys.Lett.B378:107-112,1996
|
10.1016/0370-2693(96)00402-9
|
SNUTP/95-113
|
hep-th cond-mat
| null |
We study the $SU(N)$, level $1$ Wess-Zumino-Witten model, with affine primary
fields as spinon fields of fundamental representation. By evaluating the action
of the Yangian generators $Q_{0}^{a}, Q_{1}^{a}$ and the Hamiltonian $H_2$ on
two spinon states we get a new connection between this conformal field theory
and the Calogero-Sutherland model with $SU(N)$ spin. This connection clearly
confirms the need for the $W_3$ generator in $H_2$ and an additional term in
the $Q^{a}_{1}$. We also evaluate some energy spectra of $H_2$, by acting it on
multi-spinon states.
|
[
{
"created": "Wed, 1 Nov 1995 06:53:59 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 1995 05:20:03 GMT",
"version": "v2"
}
] |
2010-02-05
|
[
[
"Ahn",
"Changhyun",
""
],
[
"Nam",
"Soonkeon",
""
]
] |
We study the $SU(N)$, level $1$ Wess-Zumino-Witten model, with affine primary fields as spinon fields of fundamental representation. By evaluating the action of the Yangian generators $Q_{0}^{a}, Q_{1}^{a}$ and the Hamiltonian $H_2$ on two spinon states we get a new connection between this conformal field theory and the Calogero-Sutherland model with $SU(N)$ spin. This connection clearly confirms the need for the $W_3$ generator in $H_2$ and an additional term in the $Q^{a}_{1}$. We also evaluate some energy spectra of $H_2$, by acting it on multi-spinon states.
|
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