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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2309.16441
|
Xuhang Jiang
|
Song He, Xuhang Jiang, Jiahao Liu, Qinglin Yang
|
On symbology and differential equations of Feynman integrals from
Schubert analysis
|
51 pages, many figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We take the first step in generalizing the so-called "Schubert analysis",
originally proposed in twistor space for four-dimensional kinematics, to the
study of symbol letters and more detailed information on canonical differential
equations for Feynman integral families in general dimensions with general
masses. The basic idea is to work in embedding space and compute possible
cross-ratios built from (Lorentz products of) maximal cut solutions for all
integrals in the family. We demonstrate the power of the method using the most
general one-loop integrals, as well as various two-loop planar integral
families (such as sunrise, double-triangle and double-box) in general
dimensions. Not only can we obtain all symbol letters as cross-ratios from
maximal-cut solutions, but we also reproduce entries in the canonical
differential equations satisfied by a basis of dlog integrals.
|
[
{
"created": "Thu, 28 Sep 2023 13:48:20 GMT",
"version": "v1"
}
] |
2023-09-29
|
[
[
"He",
"Song",
""
],
[
"Jiang",
"Xuhang",
""
],
[
"Liu",
"Jiahao",
""
],
[
"Yang",
"Qinglin",
""
]
] |
We take the first step in generalizing the so-called "Schubert analysis", originally proposed in twistor space for four-dimensional kinematics, to the study of symbol letters and more detailed information on canonical differential equations for Feynman integral families in general dimensions with general masses. The basic idea is to work in embedding space and compute possible cross-ratios built from (Lorentz products of) maximal cut solutions for all integrals in the family. We demonstrate the power of the method using the most general one-loop integrals, as well as various two-loop planar integral families (such as sunrise, double-triangle and double-box) in general dimensions. Not only can we obtain all symbol letters as cross-ratios from maximal-cut solutions, but we also reproduce entries in the canonical differential equations satisfied by a basis of dlog integrals.
|
1507.06410
|
Marika Taylor
|
Marika Taylor
|
Generalized entanglement entropy
|
40 pages, 3 figures
| null |
10.1007/JHEP07(2016)040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss two measures of entanglement in quantum field theory and their
holographic realizations. For field theories admitting a global symmetry, we
introduce a global symmetry entanglement entropy, associated with the
partitioning of the symmetry group. This quantity is proposed to be related to
the generalized holographic entanglement entropy defined via the partitioning
of the internal space of the bulk geometry. The second measure of quantum field
theory entanglement is the field space entanglement entropy, obtained by
integrating out a subset of the quantum fields. We argue that field space
entanglement entropy cannot be precisely realised geometrically in a
holographic dual. However, for holographic geometries with interior decoupling
regions, the differential entropy provides a close analogue to the field space
entanglement entropy. We derive generic descriptions of such inner throat
regions in terms of gravity coupled to massive scalars and show how the
differential entropy in the throat captures features of the field space
entanglement entropy.
|
[
{
"created": "Thu, 23 Jul 2015 08:22:48 GMT",
"version": "v1"
}
] |
2016-08-03
|
[
[
"Taylor",
"Marika",
""
]
] |
We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the symmetry group. This quantity is proposed to be related to the generalized holographic entanglement entropy defined via the partitioning of the internal space of the bulk geometry. The second measure of quantum field theory entanglement is the field space entanglement entropy, obtained by integrating out a subset of the quantum fields. We argue that field space entanglement entropy cannot be precisely realised geometrically in a holographic dual. However, for holographic geometries with interior decoupling regions, the differential entropy provides a close analogue to the field space entanglement entropy. We derive generic descriptions of such inner throat regions in terms of gravity coupled to massive scalars and show how the differential entropy in the throat captures features of the field space entanglement entropy.
|
hep-th/0607165
|
Vittorino Talamini
|
Vittorino Talamini
|
P-matrices in orbit spaces and invariant theory
|
12 pages, Included in the Proceeding of the 8th Int. School of Th.
Physics(SSPCM05), 31/8-7/9 2005, Myczkowce, Poland
|
Journal of Physics: Conference Series 30 (2006) 30--40
|
10.1088/1742-6596/30/1/005
| null |
hep-th math-ph math.AG math.CO math.MP
| null |
In many physical problems or applications one has to study functions that are
invariant under the action of a symmetry group G and this is best done in the
orbit space of G if one knows the equations and inequalities defining the orbit
space and its strata. It is reviewed how the P-matrix is defined in terms of an
integrity basis and how it can be used to determine the equations and
inequalities defining the orbit space and its strata. It is shown that the
P-matrix is a useful tool of constructive invariant theory, in fact, when the
integrity basis is only partially known, calculating the P-matrix elements, one
is able to determine the integrity basis completely.
|
[
{
"created": "Sun, 23 Jul 2006 03:01:14 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Talamini",
"Vittorino",
""
]
] |
In many physical problems or applications one has to study functions that are invariant under the action of a symmetry group G and this is best done in the orbit space of G if one knows the equations and inequalities defining the orbit space and its strata. It is reviewed how the P-matrix is defined in terms of an integrity basis and how it can be used to determine the equations and inequalities defining the orbit space and its strata. It is shown that the P-matrix is a useful tool of constructive invariant theory, in fact, when the integrity basis is only partially known, calculating the P-matrix elements, one is able to determine the integrity basis completely.
|
2212.11988
|
Philip Glass
|
Toshiaki Fujimori, Philip Glass
|
Resurgence in 2-dimensional Yang-Mills and a genus altering deformation
|
59 pages, 5 figures, minor clarifications
|
Prog Theor Exp Phys (2023)
|
10.1093/ptep/ptad058
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study resurgence in the context of the partition function of 2-dimensional
$SU(N)$ and $U(N)$ Yang-Mills theory on a surface of genus $h$. After
discussing the properties of the transseries in the undeformed theory, we add a
term to the action to deform the theory. The partition function can still be
calculated exactly, and the deformation has the effect of analytically
continuing the effective genus parameter in the exact answer to be non-integer.
In the deformed theory we find new saddle solutions and study their properties.
In this context each saddle contributes an asymptotic series to the transseries
which can be analysed using Borel-\`Ecalle resummation. For specific values of
the deformation parameter we find Cheshire cat points where the asymptotic
series in the transseries truncate to a few terms. We also find new partial
differential equations satisfied by the partition function, and a number of
applications of these are explained, including low-order/low-order resurgence.
|
[
{
"created": "Thu, 22 Dec 2022 19:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 2023 05:36:27 GMT",
"version": "v2"
}
] |
2023-06-28
|
[
[
"Fujimori",
"Toshiaki",
""
],
[
"Glass",
"Philip",
""
]
] |
We study resurgence in the context of the partition function of 2-dimensional $SU(N)$ and $U(N)$ Yang-Mills theory on a surface of genus $h$. After discussing the properties of the transseries in the undeformed theory, we add a term to the action to deform the theory. The partition function can still be calculated exactly, and the deformation has the effect of analytically continuing the effective genus parameter in the exact answer to be non-integer. In the deformed theory we find new saddle solutions and study their properties. In this context each saddle contributes an asymptotic series to the transseries which can be analysed using Borel-\`Ecalle resummation. For specific values of the deformation parameter we find Cheshire cat points where the asymptotic series in the transseries truncate to a few terms. We also find new partial differential equations satisfied by the partition function, and a number of applications of these are explained, including low-order/low-order resurgence.
|
hep-th/0510256
|
Gabor Purcsel
|
T. S. Biro, G. Purcsel
|
Numerical simulation of non-extensive Boltzmann equation
|
6 pages, 2 figures, Quark Matter 2005 (Budapest) conference
|
Acta Phys.Hung. A27 (2006) 367-371
|
10.1556/APH.27.2006.2-3.42
| null |
hep-th
| null |
We present first results of the development of a test particle simulation for
solving non-extensive extensions of the elastic two-particle Boltzmann
equation. Stationary one-particle energy distributions with power-law tail are
obtained.
|
[
{
"created": "Sat, 29 Oct 2005 20:38:21 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2006 15:01:46 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Biro",
"T. S.",
""
],
[
"Purcsel",
"G.",
""
]
] |
We present first results of the development of a test particle simulation for solving non-extensive extensions of the elastic two-particle Boltzmann equation. Stationary one-particle energy distributions with power-law tail are obtained.
|
0901.1814
|
Pierre Mathieu
|
P. Jacob and P. Mathieu
|
Particles in RSOS paths
|
15 pages, few typos corrected, version published
|
J.Phys.A42:122001,2009
|
10.1088/1751-8113/42/12/122001
| null |
hep-th cond-mat.stat-mech math-ph math.CO math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a new representation of the paths of the Forrester-Baxter RSOS
models which represents the states of the irreducible modules of the minimal
models M(p',p). This representation is obtained by transforming the RSOS paths,
for the cases p> 2p'-2, to new paths for which horizontal edges are allowed at
certain heights. These new paths are much simpler in that their weight is
nothing but the sum of the position of the peaks. This description paves the
way for the interpretation of the RSOS paths in terms of fermi-type charged
particles out of which the fermionic characters could be obtained
constructively. The derivation of the fermionic character for p'=2 and p=kp'+/-
1 is outlined. Finally, the particles of the RSOS paths are put in relation
with the kinks and the breathers of the restricted sine-Gordon model.
|
[
{
"created": "Tue, 13 Jan 2009 15:52:08 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 13:00:42 GMT",
"version": "v2"
}
] |
2009-03-27
|
[
[
"Jacob",
"P.",
""
],
[
"Mathieu",
"P.",
""
]
] |
We introduce a new representation of the paths of the Forrester-Baxter RSOS models which represents the states of the irreducible modules of the minimal models M(p',p). This representation is obtained by transforming the RSOS paths, for the cases p> 2p'-2, to new paths for which horizontal edges are allowed at certain heights. These new paths are much simpler in that their weight is nothing but the sum of the position of the peaks. This description paves the way for the interpretation of the RSOS paths in terms of fermi-type charged particles out of which the fermionic characters could be obtained constructively. The derivation of the fermionic character for p'=2 and p=kp'+/- 1 is outlined. Finally, the particles of the RSOS paths are put in relation with the kinks and the breathers of the restricted sine-Gordon model.
|
hep-th/0002228
|
Murat Gunaydin
|
Murat Gunaydin and Marco Zagermann
|
The Vacua of 5d,N=2 Gauged Yang-Mills/Einstein/Tensor Supergravity:
Abelian Case
|
25 pages Latex file
|
Phys.Rev.D62:044028,2000
|
10.1103/PhysRevD.62.044028
|
PSU-TH-227; CERN-TH/2000-068
|
hep-th
| null |
We give a detailed study of the critical points of the potentials of the
simplest non-trivial N=2 gauged Yang-Mills/Einstein supergravity theories with
tensor multiplets. The scalar field target space of these examples is
SO(1,1)XSO(2,1)/SO(2). The possible gauge groups are SO(2)XU(1)_R and
SO(1,1)XU(1)_R, where U(1)_R is a subgroup of the R-symmetry group SU(2)_R, and
SO(2) and SO(1,1) are subgroups of the isometry group of the scalar manifold.
The scalar potentials of these theories consist of a contribution from the
U(1)_R gauging and a contribution that is due to the presence of the tensor
fields. We find that the latter contribution can change the form of the
supersymmetric extrema from maxima to saddle points. In addition, it leads to
novel critical points not present in the corresponding gauged
Yang-Mills/Einstein supergravity theories without the tensor multiplets. For
the SO(2)XU(1)_R gauged theory these novel critical points correspond to
anti-de Sitter ground states. For the non-compact SO(1,1)XU(1)_R gauging, the
novel ground states are de Sitter. The analysis of the critical points of the
potential carries over in a straightforward manner to the generic family of N=2
gauged Yang-Mills/Einstein supergravity theories coupled to tensor multiplets
whose scalar manifolds are of the form SO(1,1)XSO(n-1,1)/SO(n-1).
|
[
{
"created": "Mon, 28 Feb 2000 13:46:07 GMT",
"version": "v1"
}
] |
2009-10-13
|
[
[
"Gunaydin",
"Murat",
""
],
[
"Zagermann",
"Marco",
""
]
] |
We give a detailed study of the critical points of the potentials of the simplest non-trivial N=2 gauged Yang-Mills/Einstein supergravity theories with tensor multiplets. The scalar field target space of these examples is SO(1,1)XSO(2,1)/SO(2). The possible gauge groups are SO(2)XU(1)_R and SO(1,1)XU(1)_R, where U(1)_R is a subgroup of the R-symmetry group SU(2)_R, and SO(2) and SO(1,1) are subgroups of the isometry group of the scalar manifold. The scalar potentials of these theories consist of a contribution from the U(1)_R gauging and a contribution that is due to the presence of the tensor fields. We find that the latter contribution can change the form of the supersymmetric extrema from maxima to saddle points. In addition, it leads to novel critical points not present in the corresponding gauged Yang-Mills/Einstein supergravity theories without the tensor multiplets. For the SO(2)XU(1)_R gauged theory these novel critical points correspond to anti-de Sitter ground states. For the non-compact SO(1,1)XU(1)_R gauging, the novel ground states are de Sitter. The analysis of the critical points of the potential carries over in a straightforward manner to the generic family of N=2 gauged Yang-Mills/Einstein supergravity theories coupled to tensor multiplets whose scalar manifolds are of the form SO(1,1)XSO(n-1,1)/SO(n-1).
|
1907.01778
|
Parinya Karndumri
|
H. L. Dao and Parinya Karndumri
|
$dS_4$ vacua from matter-coupled 4D N=4 gauged supergravity
|
38 pages, no figure, typos and errors corrected, more detail and a
reference added
|
Eur. Phys. J. C79 (2019) 9, 800
|
10.1140/epjc/s10052-019-7318-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $dS_4$ vacua within matter-coupled $N=4$ gauged supergravity in the
embedding tensor formalism. We derive a set of conditions for the existence of
$dS_4$ solutions by using a simple ansatz for solving the extremization and
positivity of the scalar potential. We find two classes of gauge groups that
lead to $dS_4$ vacua. One of them consists of gauge groups of the form
$G_{\textrm{e}}\times G_{\textrm{m}}\times H$ with $H$ being a compact group
and $G_{\textrm{e}}\times G_{\textrm{m}}$ a non-compact group with $SO(3)\times
SO(3)$ subgroup and dynonically gauged. These gauge groups are the same as
those giving rise to maximally supersymmetric $AdS_4$ vacua. The $dS_4$ and
$AdS_4$ vacua arise from different coupling ratios between $G_{\textrm{e}}$ and
$G_{\textrm{m}}$ factors. Another class of gauge groups is given by
$SO(2,1)_{\textrm{e}}\times SO(2,1)_{\textrm{m}}\times G_{\textrm{nc}}\times
G'_{\textrm{nc}}\times H$ with $SO(2,1)$, $G_{\textrm{nc}}$ and
$G'_{\textrm{nc}}$ dyonically gauged. We explicitly check that all known $dS_4$
vacua in $N=4$ gauged supergravity satisfy the aforementioned conditions, hence
the two classes of gauge groups can accommodate all the previous results on
$dS_4$ vacua in a simple framework. Accordingly, the results provide a new
approach for finding $dS_4$ vacua. In addition, relations between the embedding
tensors for gauge groups admitting $dS_4$ and $dS_5$ vacua are studied, and a
new gauge group, $SO(2,1)\times SO(4,1)$, with a $dS_4$ vacuum is found by
applying these relations to $SO(1,1)\times SO(4,1)$ gauge group in five
dimensions.
|
[
{
"created": "Wed, 3 Jul 2019 07:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 17:02:37 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Oct 2019 15:41:46 GMT",
"version": "v3"
}
] |
2019-10-15
|
[
[
"Dao",
"H. L.",
""
],
[
"Karndumri",
"Parinya",
""
]
] |
We study $dS_4$ vacua within matter-coupled $N=4$ gauged supergravity in the embedding tensor formalism. We derive a set of conditions for the existence of $dS_4$ solutions by using a simple ansatz for solving the extremization and positivity of the scalar potential. We find two classes of gauge groups that lead to $dS_4$ vacua. One of them consists of gauge groups of the form $G_{\textrm{e}}\times G_{\textrm{m}}\times H$ with $H$ being a compact group and $G_{\textrm{e}}\times G_{\textrm{m}}$ a non-compact group with $SO(3)\times SO(3)$ subgroup and dynonically gauged. These gauge groups are the same as those giving rise to maximally supersymmetric $AdS_4$ vacua. The $dS_4$ and $AdS_4$ vacua arise from different coupling ratios between $G_{\textrm{e}}$ and $G_{\textrm{m}}$ factors. Another class of gauge groups is given by $SO(2,1)_{\textrm{e}}\times SO(2,1)_{\textrm{m}}\times G_{\textrm{nc}}\times G'_{\textrm{nc}}\times H$ with $SO(2,1)$, $G_{\textrm{nc}}$ and $G'_{\textrm{nc}}$ dyonically gauged. We explicitly check that all known $dS_4$ vacua in $N=4$ gauged supergravity satisfy the aforementioned conditions, hence the two classes of gauge groups can accommodate all the previous results on $dS_4$ vacua in a simple framework. Accordingly, the results provide a new approach for finding $dS_4$ vacua. In addition, relations between the embedding tensors for gauge groups admitting $dS_4$ and $dS_5$ vacua are studied, and a new gauge group, $SO(2,1)\times SO(4,1)$, with a $dS_4$ vacuum is found by applying these relations to $SO(1,1)\times SO(4,1)$ gauge group in five dimensions.
|
2112.12216
|
Brian Dolan
|
Brian P. Dolan
|
Constrained Dynamics in the Hamiltonian formalism
|
27 pages; pedagogical lectures
| null | null |
STP-DIAS-21-19
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These are pedagogical notes on the Hamiltonian formulation of constrained
dynamical systems. All the examples are finite dimensional, field theories are
not covered, and the notes could be used by students for a preliminary study
before the infinite dimensional phase space of field theory is tackled.
Holonomic constraints in configuration space are considered first and Dirac
brackets introduced for such systems. It is shown that Dirac brackets are a
projection of Poisson brackets onto the constrained phase space and the
projection operator is constructed explicitly. More general constraints on
phase space are then considered and exemplified by a particle in a strong
magnetic field. First class constraints on phases are introduced using the
example of motion on the complex projective space ${\mathbf{C P}}^{n-1}$.
Motion of a relativistic particle in Minkowski space with a reparameterisation
invariant world-line is also discussed.
These notes are based on a short lecture course given at Bhubaneswar Indian
Institute of Technology in November 2021.
|
[
{
"created": "Wed, 22 Dec 2021 20:30:28 GMT",
"version": "v1"
}
] |
2021-12-24
|
[
[
"Dolan",
"Brian P.",
""
]
] |
These are pedagogical notes on the Hamiltonian formulation of constrained dynamical systems. All the examples are finite dimensional, field theories are not covered, and the notes could be used by students for a preliminary study before the infinite dimensional phase space of field theory is tackled. Holonomic constraints in configuration space are considered first and Dirac brackets introduced for such systems. It is shown that Dirac brackets are a projection of Poisson brackets onto the constrained phase space and the projection operator is constructed explicitly. More general constraints on phase space are then considered and exemplified by a particle in a strong magnetic field. First class constraints on phases are introduced using the example of motion on the complex projective space ${\mathbf{C P}}^{n-1}$. Motion of a relativistic particle in Minkowski space with a reparameterisation invariant world-line is also discussed. These notes are based on a short lecture course given at Bhubaneswar Indian Institute of Technology in November 2021.
|
1712.00161
|
Yakov Shnir
|
A.Samoilenka and Ya. Shnir
|
Gauged merons
|
5 pages, 4 figures
|
Phys. Rev. D 97, 045004 (2018)
|
10.1103/PhysRevD.97.045004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct new class of regular soliton solutions of the gauged planar
Skyrme model on the target space $S^2$ with fractional topological charges in
the scalar sector. These field configurations represent Skyrmed vortices, they
have finite energy and carry topologically quantized magnetic flux $\Phi=2\pi
n$ where $n$ is an integer. Using a special version of the product ansatz as
guide, we obtain by numerical relaxation various multimeron solutions and
investigate the pattern of interaction between the fractionally charged
solitons. We show that, unlike the vortices in the Abelian Higgs model, the
gauged merons may combine short range repulsion and long range attraction.
Considering the strong gauge coupling limit we demonstrate that the topological
quantization of the magnetic flux is determined by the Poincar\'{e} index of
the planar components $\phi_\perp = \phi_1+i\phi_2$ of the Skyrme field.
|
[
{
"created": "Fri, 1 Dec 2017 02:27:57 GMT",
"version": "v1"
}
] |
2018-02-14
|
[
[
"Samoilenka",
"A.",
""
],
[
"Shnir",
"Ya.",
""
]
] |
We construct new class of regular soliton solutions of the gauged planar Skyrme model on the target space $S^2$ with fractional topological charges in the scalar sector. These field configurations represent Skyrmed vortices, they have finite energy and carry topologically quantized magnetic flux $\Phi=2\pi n$ where $n$ is an integer. Using a special version of the product ansatz as guide, we obtain by numerical relaxation various multimeron solutions and investigate the pattern of interaction between the fractionally charged solitons. We show that, unlike the vortices in the Abelian Higgs model, the gauged merons may combine short range repulsion and long range attraction. Considering the strong gauge coupling limit we demonstrate that the topological quantization of the magnetic flux is determined by the Poincar\'{e} index of the planar components $\phi_\perp = \phi_1+i\phi_2$ of the Skyrme field.
|
2311.00933
|
Ning Su
|
Junchen Rong and Ning Su
|
From O(3) to Cubic CFT: Conformal Perturbation and the Large Charge
Sector
|
15 pages, 1 figure
| null | null | null |
hep-th cond-mat.stat-mech
|
http://creativecommons.org/licenses/by/4.0/
|
The Cubic CFT can be understood as the O(3) invariant CFT perturbed by a
slightly relevant operator. In this paper, we use conformal perturbation theory
together with the conformal data of the O(3) vector model to compute the
anomalous dimension of scalar bilinear operators of the Cubic CFT. When the
$Z_2$ symmetry that flips the signs of $\phi_i$ is gauged, the Cubic model
describes a certain phase transition of a quantum dimer model. The scalar
bilinear operators are the order parameters of this phase transition. Based on
the conformal data of the O(3) CFT, we determine the correction to the critical
exponent as $\eta_{*}^{Cubic}-\eta_{*}^{O(3)}\approx -0.0215(49)$. The O(3)
data is obtained using the numerical conformal bootstrap method to study all
four-point correlators involving the four operators: $v=\phi_i$, $s=\sum_i
\phi_i\phi_i$ and the leading scalar operators with O(3) isospin $j=2$ and 4.
According to large charge effective theory, the leading operator with charge
$Q$ has scaling dimension $\Delta_{Q}=c_{3/2} Q^{3/2}+c_{1/2}Q^{1/2}$. We find
a good match with this prediction up to isospin $j=6$ for spin 0 and 2 and
measured the coefficients $c_{3/2}$ and $c_{1/2}$.
|
[
{
"created": "Thu, 2 Nov 2023 01:56:03 GMT",
"version": "v1"
}
] |
2023-11-03
|
[
[
"Rong",
"Junchen",
""
],
[
"Su",
"Ning",
""
]
] |
The Cubic CFT can be understood as the O(3) invariant CFT perturbed by a slightly relevant operator. In this paper, we use conformal perturbation theory together with the conformal data of the O(3) vector model to compute the anomalous dimension of scalar bilinear operators of the Cubic CFT. When the $Z_2$ symmetry that flips the signs of $\phi_i$ is gauged, the Cubic model describes a certain phase transition of a quantum dimer model. The scalar bilinear operators are the order parameters of this phase transition. Based on the conformal data of the O(3) CFT, we determine the correction to the critical exponent as $\eta_{*}^{Cubic}-\eta_{*}^{O(3)}\approx -0.0215(49)$. The O(3) data is obtained using the numerical conformal bootstrap method to study all four-point correlators involving the four operators: $v=\phi_i$, $s=\sum_i \phi_i\phi_i$ and the leading scalar operators with O(3) isospin $j=2$ and 4. According to large charge effective theory, the leading operator with charge $Q$ has scaling dimension $\Delta_{Q}=c_{3/2} Q^{3/2}+c_{1/2}Q^{1/2}$. We find a good match with this prediction up to isospin $j=6$ for spin 0 and 2 and measured the coefficients $c_{3/2}$ and $c_{1/2}$.
|
1206.5711
|
Igor Samsonov
|
I. L. Buchbinder, N. G. Pletnev, I. B. Samsonov
|
Background field formalism and construction of effective action for N=2,
d=3 supersymmetric gauge theories
|
1+30 pages, dedicated to the 60 year Jubilee of Professor D.I.
Kazakov; references added. arXiv admin note: substantial text overlap with
arXiv:1010.4967
| null |
10.1134/S1063779613020093
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the background field method for three-dimensional Yang-Mills and
Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel)
techniques are developed and exact expressions of heat kernels for constant
backgrounds are presented. The background field method and heat kernel
techniques are applied for evaluating the low-energy effective actions in N=2
supersymmetric Yang-Mills and Chern-Simons models as well as in N=4 and N=8 SYM
theories.
|
[
{
"created": "Mon, 25 Jun 2012 15:38:31 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jul 2012 16:57:21 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
],
[
"Samsonov",
"I. B.",
""
]
] |
We review the background field method for three-dimensional Yang-Mills and Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel) techniques are developed and exact expressions of heat kernels for constant backgrounds are presented. The background field method and heat kernel techniques are applied for evaluating the low-energy effective actions in N=2 supersymmetric Yang-Mills and Chern-Simons models as well as in N=4 and N=8 SYM theories.
|
hep-th/9402050
|
Jun Nishimura
|
Jun Nishimura, Shinya Tamura and Asato Tsuchiya
|
Scaling Dimensions of Manifestly Generally Covariant Operators in
Two-Dimensional Quantum Gravity
|
20 pages, UT-664, ICRR-Report-306-94-1, UT-Komaba/94-2,
(Interpretation of the results has been changed.)
|
Int.J.Mod.Phys. A10 (1995) 859-874
|
10.1142/S0217751X95000425
| null |
hep-th
| null |
Using (2+$\epsilon$)-dimensional quantum gravity recently formulated by
Kawai, Kitazawa and Ninomiya, we calculate the scaling dimensions of manifestly
generally covariant operators in two-dimensional quantum gravity coupled to
$(p,q)$ minimal conformal matter. Although the spectrum includes all the
scaling dimensions of the scaling operators in the matrix model except the
boundary operators, there are also many others which do not appear in the
matrix model. We argue that the partial agreement of the scaling dimensions
should be considered as accidental and that the operators considered give a new
series of operators in two-dimensional quantum gravity.
|
[
{
"created": "Wed, 9 Feb 1994 11:32:44 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 1994 03:44:30 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Nishimura",
"Jun",
""
],
[
"Tamura",
"Shinya",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
Using (2+$\epsilon$)-dimensional quantum gravity recently formulated by Kawai, Kitazawa and Ninomiya, we calculate the scaling dimensions of manifestly generally covariant operators in two-dimensional quantum gravity coupled to $(p,q)$ minimal conformal matter. Although the spectrum includes all the scaling dimensions of the scaling operators in the matrix model except the boundary operators, there are also many others which do not appear in the matrix model. We argue that the partial agreement of the scaling dimensions should be considered as accidental and that the operators considered give a new series of operators in two-dimensional quantum gravity.
|
1502.00463
|
Nejat Yilmaz
|
Nejat Tevfik Yilmaz
|
Decoupling Solution Moduli of Bigravity
|
38 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A complete classification of exact solutions of ghost-free, massive bigravity
is derived which enables the dynamical decoupling of the background, and the
foreground metrics. The general decoupling solution space of the two metrics is
constructed. Within this branch of the solution space the foreground metric
theory becomes general relativity (GR) with an additional effective
cosmological constant, and the background metric dynamics is governed by plain
GR.
|
[
{
"created": "Mon, 2 Feb 2015 13:17:44 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 2016 18:31:38 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Dec 2016 20:34:05 GMT",
"version": "v3"
}
] |
2016-12-28
|
[
[
"Yilmaz",
"Nejat Tevfik",
""
]
] |
A complete classification of exact solutions of ghost-free, massive bigravity is derived which enables the dynamical decoupling of the background, and the foreground metrics. The general decoupling solution space of the two metrics is constructed. Within this branch of the solution space the foreground metric theory becomes general relativity (GR) with an additional effective cosmological constant, and the background metric dynamics is governed by plain GR.
|
hep-th/9907061
|
John Schwarz
|
John H. Schwarz
|
Some Properties of Type I' String Theory
|
10 pages; Submitted to a volume in memory of Yuri Golfand; v2:
reference added
| null |
10.1142/9789812793850_0023
|
CALT-68-2231
|
hep-th
| null |
The T-dual formulation of Type I superstring theory, sometimes called Type I'
theory, has a number of interesting features. Here we review some of them
including the role of D0-branes and D8-branes in controlling possible gauge
symmetry enhancement.
|
[
{
"created": "Thu, 8 Jul 1999 20:48:02 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 1999 20:47:41 GMT",
"version": "v2"
}
] |
2016-11-23
|
[
[
"Schwarz",
"John H.",
""
]
] |
The T-dual formulation of Type I superstring theory, sometimes called Type I' theory, has a number of interesting features. Here we review some of them including the role of D0-branes and D8-branes in controlling possible gauge symmetry enhancement.
|
hep-th/0612215
|
Vitaly Vanchurin
|
Vitaly Vanchurin
|
Geodesic measures of the landscape
|
7 pages, 4 figures
|
Phys.Rev.D75:023524,2007
|
10.1103/PhysRevD.75.023524
| null |
hep-th astro-ph gr-qc
| null |
We study the landscape models of eternal inflation with an arbitrary number
of different vacua states, both recyclable and terminal. We calculate the
abundances of bubbles following different geodesics. We show that the results
obtained from generic time-like geodesics have undesirable dependence on
initial conditions. In contrast, the predictions extracted from ``eternal''
geodesics, which never enter terminal vacua, do not suffer from this problem.
We derive measure equations for ensembles of geodesics and discuss possible
interpretations of initial conditions in eternal inflation.
|
[
{
"created": "Wed, 20 Dec 2006 08:40:42 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2007 16:42:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Vanchurin",
"Vitaly",
""
]
] |
We study the landscape models of eternal inflation with an arbitrary number of different vacua states, both recyclable and terminal. We calculate the abundances of bubbles following different geodesics. We show that the results obtained from generic time-like geodesics have undesirable dependence on initial conditions. In contrast, the predictions extracted from ``eternal'' geodesics, which never enter terminal vacua, do not suffer from this problem. We derive measure equations for ensembles of geodesics and discuss possible interpretations of initial conditions in eternal inflation.
|
hep-th/0410024
|
Kei-Ichi Kondo
|
K.-I. Kondo
|
Magnetic condensation, Abelian dominance, and instability of Savvidy
vacuum in Yang-Mills theory
|
6 pages, 1 figure; a contribution to the 8th workshop on
non-perturbative QCD
|
Int.J.Mod.Phys. A20 (2005) 4609-4614
|
10.1142/S0217751X05028272
|
CHIBA-EP-148
|
hep-th
| null |
We propose a novel type of color magnetic condensation originating from
magnetic monopoles so that it provides the mass of off-diagonal gluons in the
Yang-Mills theory.
This dynamical mass generation enables us to explain the infrared Abelian
dominance and monopole dominance by way of a non-Abelian Stokes theorem, which
supports the dual superconductivity picture of quark confinement. Moreover, we
show that the instability of Savvidy vacuum disappears by sufficiently large
color magnetic condensation.
|
[
{
"created": "Mon, 4 Oct 2004 02:30:34 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kondo",
"K. -I.",
""
]
] |
We propose a novel type of color magnetic condensation originating from magnetic monopoles so that it provides the mass of off-diagonal gluons in the Yang-Mills theory. This dynamical mass generation enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which supports the dual superconductivity picture of quark confinement. Moreover, we show that the instability of Savvidy vacuum disappears by sufficiently large color magnetic condensation.
|
hep-th/0608043
|
Shin'ichi Nojiri
|
O. Gorbunova
|
Ideal fluid and acceleration of the universe
|
LaTeX file 2 pages, published in Izw.VUZov.Fizika
v.49,n5(2006)p.91-92
| null | null | null |
hep-th
| null |
The solution of the dark energy problem in models without scalars is
presented. It is shown that a late-time accelerating cosmology may be generated
by an ideal fluid with some implicit equation of state.
|
[
{
"created": "Mon, 7 Aug 2006 09:30:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gorbunova",
"O.",
""
]
] |
The solution of the dark energy problem in models without scalars is presented. It is shown that a late-time accelerating cosmology may be generated by an ideal fluid with some implicit equation of state.
|
hep-th/9507132
|
Regina Maria Ricotta
|
Elso Drigo Filho and Regina Maria Ricotta
|
Supersymmetry, Variational Method and Hulth\'en Potential
|
5 pages, LateX file, to appear in Modern Physics Letters A
|
Mod.Phys.Lett. A10 (1995) 1613-1618
|
10.1142/S0217732395001733
| null |
hep-th
| null |
The formalism of Supersymmetric Quantum Mechanics provides us the
eigenfunctions to be used in the variational mathod to obtain the eigenvalues
for the Hulth\'en Potential.
|
[
{
"created": "Tue, 25 Jul 1995 08:01:35 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Filho",
"Elso Drigo",
""
],
[
"Ricotta",
"Regina Maria",
""
]
] |
The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational mathod to obtain the eigenvalues for the Hulth\'en Potential.
|
hep-th/9602160
|
Juri Suris
|
Yuri B. Suris (Bremen, Germany)
|
Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies
governed by the same R-operators as the Calogero-Moser ones?
|
LaTeX, 18pp, a revised version
|
Phys.Lett. A225 (1997) 253-262
|
10.1016/S0375-9601(96)00897-3
| null |
hep-th nlin.SI solv-int
| null |
We demonstrate that in a certain gauge the Lax matrices of the rational and
hyperbolic Ruijsenaars--Schneider models have a quadratic $r$-matrix Poisson
bracket which is an exact quadratization of the linear $r$--matrix Poisson
bracket of the Calogero--Moser models. This phenomenon is explained by a
geometric derivation of Lax equations for arbitrary flows of both hierarchies,
which turn out to be governed by the same dynamical $R$--operator.
|
[
{
"created": "Wed, 28 Feb 1996 11:25:17 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 1996 08:49:07 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Suris",
"Yuri B.",
"",
"Bremen, Germany"
]
] |
We demonstrate that in a certain gauge the Lax matrices of the rational and hyperbolic Ruijsenaars--Schneider models have a quadratic $r$-matrix Poisson bracket which is an exact quadratization of the linear $r$--matrix Poisson bracket of the Calogero--Moser models. This phenomenon is explained by a geometric derivation of Lax equations for arbitrary flows of both hierarchies, which turn out to be governed by the same dynamical $R$--operator.
|
hep-th/0205232
|
Roger Heumann
|
R. Heumann
|
The classical supersymmetric Coulomb problem
|
25 pages, 2 figures; reference added, some minor modifications
|
J.Phys.A35:7437-7460,2002
|
10.1088/0305-4470/35/34/314
|
DAMTP-2002-56
|
hep-th math-ph math.MP
| null |
After setting up a general model for supersymmetric classical mechanics in
more than one dimension we describe systems with centrally symmetric potentials
and their Poisson algebra. We then apply this information to the investigation
and solution of the supersymmetric Coulomb problem, specified by an 1/|x|
repulsive bosonic potential.
|
[
{
"created": "Wed, 22 May 2002 20:21:07 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2002 15:04:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Heumann",
"R.",
""
]
] |
After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential.
|
hep-th/0105307
|
Mario Salizzoni
|
L. Bonora, M. Salizzoni
|
Non-orientable string one-loop corrections in the presence of a B field
|
29 pages, 1 figure; New version
| null | null |
SISSA /45/01/EP
|
hep-th
| null |
We discuss the problem of noncommutative SO(N) gauge field theories from the
string one-loop point of view. To this end we propose an expression for the
string propagator on the boundary of the Moebius strip in the presence of a
constant B field. We discuss in detail the problems related to its derivation.
Then we use it to compute the one-loop corrections to two-, three- and
four-gluon amplitudes in an open string theory with orthogonal Chan-Paton
factors. We show that these corrections in the field theory limit in 4D are
compatible with the one-loop corrections of a renormalizable noncommutative
SO(N) gauge field theory.
|
[
{
"created": "Wed, 30 May 2001 14:35:53 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2001 16:23:15 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Oct 2001 17:54:08 GMT",
"version": "v3"
},
{
"created": "Tue, 30 Oct 2001 14:45:58 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Bonora",
"L.",
""
],
[
"Salizzoni",
"M.",
""
]
] |
We discuss the problem of noncommutative SO(N) gauge field theories from the string one-loop point of view. To this end we propose an expression for the string propagator on the boundary of the Moebius strip in the presence of a constant B field. We discuss in detail the problems related to its derivation. Then we use it to compute the one-loop corrections to two-, three- and four-gluon amplitudes in an open string theory with orthogonal Chan-Paton factors. We show that these corrections in the field theory limit in 4D are compatible with the one-loop corrections of a renormalizable noncommutative SO(N) gauge field theory.
|
2201.08410
|
Amiya Mishra
|
Shiraz Minwalla, Amiya Mishra, Naveen Prabhakar, Tarun Sharma
|
The Hilbert Space of large $N$ Chern-Simons matter theories
|
100 pages + Appendices, 4 figures; v2: footnote 2 is extended for
clarification. The preprint is accepted for publication in JHEP
| null |
10.1007/JHEP07(2022)025
|
TIFR/TH/21-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that the known expressions for the thermal partition function
of large $N$ Chern-Simons matter theories admit a simple Hilbert space
interpretation as the partition function of an associated ungauged large $N$
matter theory with one additional condition: the Fock space of this associated
theory is projected down to the subspace of its \emph{quantum} singlets
i.e.~singlets under the Gauss law for Chern-Simons gauge theory. Via the
Chern-Simons / WZW correspondence, the space of quantum singlets are equivalent
to the space of WZW conformal blocks. One step in our demonstration involves
recasting the Verlinde formula for the dimension of the space of conformal
blocks in $SU(N)_k$ and $U(N)_{k,k'}$ WZW theories into a simple and physically
transparent form, which we also rederive by evaluating the partition function
and superconformal index of pure Chern-Simons theory in the presence of Wilson
lines. A particular consequence of the projection of the Fock space of
Chern-Simons matter theories to quantum (or WZW) singlets is the `Bosonic
Exclusion Principle': the number of bosons occupying any single particle state
is bounded above by the Chern-Simons level. The quantum singlet condition
(unlike its Yang-Mills Gauss Law counterpart) has a nontrivial impact on
thermodynamics even in the infinite volume limit. In this limit the projected
Fock space partition function reduces to a product of partition functions, one
for each single particle state. These single particle state partition functions
are $q$-deformations of their free boson and free fermion counterparts and
interpolate between these two special cases. We also propose a formula for the
large $N$ partition function that is valid for arbitrary finite volume of the
spatial $S^2$ and not only at large volume.
|
[
{
"created": "Thu, 20 Jan 2022 19:02:02 GMT",
"version": "v1"
},
{
"created": "Sun, 29 May 2022 11:42:24 GMT",
"version": "v2"
}
] |
2022-07-13
|
[
[
"Minwalla",
"Shiraz",
""
],
[
"Mishra",
"Amiya",
""
],
[
"Prabhakar",
"Naveen",
""
],
[
"Sharma",
"Tarun",
""
]
] |
We demonstrate that the known expressions for the thermal partition function of large $N$ Chern-Simons matter theories admit a simple Hilbert space interpretation as the partition function of an associated ungauged large $N$ matter theory with one additional condition: the Fock space of this associated theory is projected down to the subspace of its \emph{quantum} singlets i.e.~singlets under the Gauss law for Chern-Simons gauge theory. Via the Chern-Simons / WZW correspondence, the space of quantum singlets are equivalent to the space of WZW conformal blocks. One step in our demonstration involves recasting the Verlinde formula for the dimension of the space of conformal blocks in $SU(N)_k$ and $U(N)_{k,k'}$ WZW theories into a simple and physically transparent form, which we also rederive by evaluating the partition function and superconformal index of pure Chern-Simons theory in the presence of Wilson lines. A particular consequence of the projection of the Fock space of Chern-Simons matter theories to quantum (or WZW) singlets is the `Bosonic Exclusion Principle': the number of bosons occupying any single particle state is bounded above by the Chern-Simons level. The quantum singlet condition (unlike its Yang-Mills Gauss Law counterpart) has a nontrivial impact on thermodynamics even in the infinite volume limit. In this limit the projected Fock space partition function reduces to a product of partition functions, one for each single particle state. These single particle state partition functions are $q$-deformations of their free boson and free fermion counterparts and interpolate between these two special cases. We also propose a formula for the large $N$ partition function that is valid for arbitrary finite volume of the spatial $S^2$ and not only at large volume.
|
hep-th/9904047
|
DaeKil Park
|
D. K. Park, Hungsoo Kim, Soo-Young Lee
|
Winding Number Transition at Finite Temperature : Mottola-Wipf model
with and without Skyrme term
|
accepted version in NPB
|
Nucl.Phys.B557:146-164,1999
|
10.1016/S0550-3213(99)00401-0
| null |
hep-th
| null |
The winding number transition in the Mottola-Wipf model with and without
Skyrme term is examined. For the model with Skyrme term the number of discrete
modes of the fluctuation operator around sphaleron is shown to be dependent on
the value of $\lambda m^2$. Following Gorokhov and Blatter we derive a
sufficient condition for the sharp first-order transition, which indicates that
first-order transition occurs when $0< \lambda m^2 < 0.0399$ and $2.148 <
\lambda m^2$. In the intermediate region of $\lambda m^2$ the winding number
transition is conjectured to be smooth second order. For the model without
Skyrme term the winding number transition is always first order regardless of
the value of parameter.
|
[
{
"created": "Wed, 7 Apr 1999 09:09:32 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Sep 1999 07:14:40 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Park",
"D. K.",
""
],
[
"Kim",
"Hungsoo",
""
],
[
"Lee",
"Soo-Young",
""
]
] |
The winding number transition in the Mottola-Wipf model with and without Skyrme term is examined. For the model with Skyrme term the number of discrete modes of the fluctuation operator around sphaleron is shown to be dependent on the value of $\lambda m^2$. Following Gorokhov and Blatter we derive a sufficient condition for the sharp first-order transition, which indicates that first-order transition occurs when $0< \lambda m^2 < 0.0399$ and $2.148 < \lambda m^2$. In the intermediate region of $\lambda m^2$ the winding number transition is conjectured to be smooth second order. For the model without Skyrme term the winding number transition is always first order regardless of the value of parameter.
|
hep-th/9911154
|
Paul Townsend
|
P.K. Townsend
|
PhreMology--calibrating M-branes
|
13 pp. Strings '99 contribution. Various points corrected
|
Class.Quant.Grav. 17 (2000) 1267-1276
|
10.1088/0264-9381/17/5/336
|
DAMTP-1999-165
|
hep-th
| null |
The relevance of calibrations, and `generalized' calibrations, to
supersymmetric M-brane configurations, and their associated field theories, is
reviewed, with emphasis on applications to domain walls and domain wall
junctions of D=4 N=1 supersymmetric field theories.
|
[
{
"created": "Fri, 19 Nov 1999 17:39:53 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 1999 18:32:19 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Townsend",
"P. K.",
""
]
] |
The relevance of calibrations, and `generalized' calibrations, to supersymmetric M-brane configurations, and their associated field theories, is reviewed, with emphasis on applications to domain walls and domain wall junctions of D=4 N=1 supersymmetric field theories.
|
1811.03141
|
Saulo De Mesquita Diles
|
Saulo Diles
|
Probing AdS/QCD backgrounds with semi-classical strings
|
17 pages, 12 figures (3 new)
|
EPL, 130 (2020) 51001
|
10.1209/0295-5075/130/51001
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
New AdS/QCD backgrounds have been proposed to describe the spectrum of heavy
vector mesons via the implementation of additional energy scales on the bulk
geometry of the soft wall model. The extra energy scales are needed to include
the decay constants of hadronic states when describing the radial excitations
of the heavy meson. Here we analyze one model that introduces an ultraviolet
cutoff on Anti de-Sitter space and a model that consider a dilaton profile
modified by the addition of an extra term and no cutoff. For each one of these
two models we consider the presence of a semi-classical string in the bulk that
is dual to a static and infinitely heavy meson. We compute the expected value
of the Wilson loop operator using the holographic dictionary and obtain the
dual potential for the static $q\bar{q}$ pair. For the model with modified
dilaton profile the on-shell string action presents a peculiar ultraviolet
divergence, a compatible regularization is discussed and a new subtraction
scheme is used. We consider the case of finite temperature and determine how
the dissociation temperature of the heavy meson is affected by the additional
energy scales.
|
[
{
"created": "Wed, 7 Nov 2018 21:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 21:44:05 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2019 16:35:14 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Jul 2020 13:28:16 GMT",
"version": "v4"
}
] |
2020-07-06
|
[
[
"Diles",
"Saulo",
""
]
] |
New AdS/QCD backgrounds have been proposed to describe the spectrum of heavy vector mesons via the implementation of additional energy scales on the bulk geometry of the soft wall model. The extra energy scales are needed to include the decay constants of hadronic states when describing the radial excitations of the heavy meson. Here we analyze one model that introduces an ultraviolet cutoff on Anti de-Sitter space and a model that consider a dilaton profile modified by the addition of an extra term and no cutoff. For each one of these two models we consider the presence of a semi-classical string in the bulk that is dual to a static and infinitely heavy meson. We compute the expected value of the Wilson loop operator using the holographic dictionary and obtain the dual potential for the static $q\bar{q}$ pair. For the model with modified dilaton profile the on-shell string action presents a peculiar ultraviolet divergence, a compatible regularization is discussed and a new subtraction scheme is used. We consider the case of finite temperature and determine how the dissociation temperature of the heavy meson is affected by the additional energy scales.
|
hep-th/9811220
|
Jun Nishimura
|
Tomohiro Hotta (Univ. of Tokyo), Jun Nishimura (Nagoya Univ. & NBI)
and Asato Tsuchiya (Osaka Univ.)
|
Dynamical Aspects of Large N Reduced Models
|
41 pages, LaTeX, 15 eps figures; comments added for the
well-definedness of the models and for a related reference
|
Nucl.Phys. B545 (1999) 543-575
|
10.1016/S0550-3213(99)00056-5
|
UT-Komaba 98-12, DPNU-98-22, OU-HET 298
|
hep-th
| null |
We study the large N reduced model of D-dimensional Yang-Mills theory with
special attention to dynamical aspects related to the eigenvalues of the N by N
matrices, which correspond to the space-time coordinates in the IIB matrix
model. We first put an upper bound on the extent of space time by perturbative
arguments. We perform a Monte Carlo simulation and show that the upper bound is
actually saturated. The relation of our result to the SSB of the U(1)^D
symmetry in the Eguchi-Kawai model is clarified. We define a quantity which
represents the uncertainty of the space-time coordinates and show that it is of
the same order as the extent of space time, which means that a classical
space-time picture is maximally broken. We develop a 1/D expansion, which
enables us to calculate correlation functions of the model analytically. The
absence of an SSB of the Lorentz invariance is shown by the Monte Carlo
simulation as well as by the 1/D expansion.
|
[
{
"created": "Wed, 25 Nov 1998 14:57:37 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 1998 18:56:36 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Hotta",
"Tomohiro",
"",
"Univ. of Tokyo"
],
[
"Nishimura",
"Jun",
"",
"Nagoya Univ. & NBI"
],
[
"Tsuchiya",
"Asato",
"",
"Osaka Univ."
]
] |
We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to dynamical aspects related to the eigenvalues of the N by N matrices, which correspond to the space-time coordinates in the IIB matrix model. We first put an upper bound on the extent of space time by perturbative arguments. We perform a Monte Carlo simulation and show that the upper bound is actually saturated. The relation of our result to the SSB of the U(1)^D symmetry in the Eguchi-Kawai model is clarified. We define a quantity which represents the uncertainty of the space-time coordinates and show that it is of the same order as the extent of space time, which means that a classical space-time picture is maximally broken. We develop a 1/D expansion, which enables us to calculate correlation functions of the model analytically. The absence of an SSB of the Lorentz invariance is shown by the Monte Carlo simulation as well as by the 1/D expansion.
|
1706.02438
|
Moshe Rozali
|
Robert C. Myers, Moshe Rozali and Benson Way
|
Holographic Quenches in a Confined Phase
|
56 pages, 18 figures
| null |
10.1088/1751-8121/aa927c
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate quenches of holographic theories in a confined phase, where
the energy injected is insufficient to reach the deconfined phase. In such
quenches, thermalization is not associated with gravitational collapse and the
formation of a black hole. Nevertheless, we attempt to characterize the
late-time state of this scenario. We check a number of notions of
thermalization that do not require horizon formation, and find no evidence for
thermalization in our chosen parameters and initial states, even in the weakest
sense.
We find that the post-quench behaviour of both local and nonlocal observables
exhibit oscillatory behaviour rather than decaying towards equilibrium. We
generally find that the response of the nonlocal observables is smoother than
that of the local ones. We discuss mechanisms which generate such smoothing, as
well as "beats" which appear in the time-dependence of the nonlocal operators
for certain classes of quenches. When tuning the quench parameters such that
the smoothing is ineffective, we are able to perform "entanglement
spectroscopy", recovering the spectrum of the confined phase of the theory from
the time dependence of the entanglement entropy, as well as other nonlocal
observables.
|
[
{
"created": "Thu, 8 Jun 2017 03:02:26 GMT",
"version": "v1"
}
] |
2017-12-06
|
[
[
"Myers",
"Robert C.",
""
],
[
"Rozali",
"Moshe",
""
],
[
"Way",
"Benson",
""
]
] |
We investigate quenches of holographic theories in a confined phase, where the energy injected is insufficient to reach the deconfined phase. In such quenches, thermalization is not associated with gravitational collapse and the formation of a black hole. Nevertheless, we attempt to characterize the late-time state of this scenario. We check a number of notions of thermalization that do not require horizon formation, and find no evidence for thermalization in our chosen parameters and initial states, even in the weakest sense. We find that the post-quench behaviour of both local and nonlocal observables exhibit oscillatory behaviour rather than decaying towards equilibrium. We generally find that the response of the nonlocal observables is smoother than that of the local ones. We discuss mechanisms which generate such smoothing, as well as "beats" which appear in the time-dependence of the nonlocal operators for certain classes of quenches. When tuning the quench parameters such that the smoothing is ineffective, we are able to perform "entanglement spectroscopy", recovering the spectrum of the confined phase of the theory from the time dependence of the entanglement entropy, as well as other nonlocal observables.
|
1602.01101
|
Usman Naseer
|
Usman Naseer, Barton Zwiebach
|
Three-point Functions in Duality-Invariant Higher-Derivative Gravity
|
Typos in eqns (3.5) and (4.7) have been fixed
| null |
10.1007/JHEP03(2016)147
|
MIT-CTP-4766
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Doubled $\alpha'$-geometry is the simplest higher-derivative gravitational
theory with exact global duality symmetry. We use the double metric formulation
of this theory to compute on-shell three-point functions to all orders in
$\alpha'$. A simple pattern emerges when comparing with the analogous bosonic
and heterotic three-point functions. As in these theories, the amplitudes
factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed
interaction to second order in $\alpha'$.
|
[
{
"created": "Tue, 2 Feb 2016 21:00:10 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Mar 2016 00:01:33 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jun 2016 16:44:01 GMT",
"version": "v3"
}
] |
2016-06-08
|
[
[
"Naseer",
"Usman",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
Doubled $\alpha'$-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in $\alpha'$. A simple pattern emerges when comparing with the analogous bosonic and heterotic three-point functions. As in these theories, the amplitudes factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed interaction to second order in $\alpha'$.
|
hep-th/0304123
|
Roberto Casero
|
Roberto Casero, Enrico Trincherini (Milan Bicocca U.)
|
Quivers via anomaly chains
|
32 pages, latex; typos corrected, published version
|
JHEP 0309 (2003) 041
|
10.1088/1126-6708/2003/09/041
| null |
hep-th
| null |
We study quivers in the context of matrix models. We introduce chains of
generalized Konishi anomalies to write the quadratic and cubic equations that
constrain the resolvents of general affine and non-affine quiver gauge
theories, and give a procedure to calculate all higher-order relations. For
these theories we also evaluate, as functions of the resolvents, VEV's of
chiral operators with two and four bifundamental insertions. As an example of
the general procedure we explicitly consider the two simplest quivers A2 and
A1(affine), obtaining in the first case a cubic algebraic curve, and for the
affine theory the same equation as that of U(N) theories with adjoint matter,
successfully reproducing the RG cascade result.
|
[
{
"created": "Sat, 12 Apr 2003 17:37:00 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2003 13:33:27 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Oct 2003 15:51:25 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Casero",
"Roberto",
"",
"Milan Bicocca U."
],
[
"Trincherini",
"Enrico",
"",
"Milan Bicocca U."
]
] |
We study quivers in the context of matrix models. We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result.
|
1702.01292
|
Diego Rubiera-Garcia
|
Cecilia Bejarano, Gonzalo J. Olmo, and Diego Rubiera-Garcia
|
What is a singular black hole beyond General Relativity?
|
17 double column pages, 10 figures, revtex4-1 style
|
Phys. Rev. D 95, 064043 (2017)
|
10.1103/PhysRevD.95.064043
|
IFIC/17-04
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Exploring the characterization of singular black hole spacetimes, we study
the relation between energy density, curvature invariants, and geodesic
completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic
fluid. Working in a metric-affine approach, our models and solutions represent
minimal extensions of General Relativity (GR) in the sense that they rapidly
recover the usual Reissner-Nordstr\"{o}m solution from near the inner horizon
outwards. The anisotropic fluid helps modify only the innermost geometry.
Depending on the values and signs of two parameters on the gravitational and
matter sectors, a breakdown of the correlations between the
finiteness/divergence of the energy density, the behavior of curvature
invariants, and the (in)completeness of geodesics is obtained. We find a
variety of configurations with and without wormholes, a case with a de Sitter
interior, solutions that mimic non-linear models of electrodynamics coupled to
GR, and configurations with up to four horizons. Our results raise questions
regarding what infinities, if any, a quantum version of these theories should
regularize.
|
[
{
"created": "Sat, 4 Feb 2017 14:32:34 GMT",
"version": "v1"
}
] |
2017-04-05
|
[
[
"Bejarano",
"Cecilia",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"Diego",
""
]
] |
Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working in a metric-affine approach, our models and solutions represent minimal extensions of General Relativity (GR) in the sense that they rapidly recover the usual Reissner-Nordstr\"{o}m solution from near the inner horizon outwards. The anisotropic fluid helps modify only the innermost geometry. Depending on the values and signs of two parameters on the gravitational and matter sectors, a breakdown of the correlations between the finiteness/divergence of the energy density, the behavior of curvature invariants, and the (in)completeness of geodesics is obtained. We find a variety of configurations with and without wormholes, a case with a de Sitter interior, solutions that mimic non-linear models of electrodynamics coupled to GR, and configurations with up to four horizons. Our results raise questions regarding what infinities, if any, a quantum version of these theories should regularize.
|
hep-th/0605198
|
Daniel S. Freed
|
Daniel S. Freed, Gregory W. Moore, Graeme Segal
|
The Uncertainty of Fluxes
|
33 pages; minor modifications for publication in Commun. Math. Phys
|
Commun.Math.Phys.271:247-274,2007
|
10.1007/s00220-006-0181-3
|
NSF-KITP-05-119
|
hep-th math-ph math.AT math.MP
| null |
In the ordinary quantum Maxwell theory of a free electromagnetic field,
formulated on a curved 3-manifold, we observe that magnetic and electric fluxes
cannot be simultaneously measured. This uncertainty principle reflects torsion:
fluxes modulo torsion can be simultaneously measured. We also develop the
Hamilton theory of self-dual fields, noting that they are quantized by
Pontrjagin self-dual cohomology theories and that the quantum Hilbert space is
Z/2-graded, so typically contains both bosonic and fermionic states.
Significantly, these ideas apply to the Ramond-Ramond field in string theory,
showing that its K-theory class cannot be measured.
|
[
{
"created": "Fri, 19 May 2006 20:06:55 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2006 11:36:09 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Aug 2006 04:27:52 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Freed",
"Daniel S.",
""
],
[
"Moore",
"Gregory W.",
""
],
[
"Segal",
"Graeme",
""
]
] |
In the ordinary quantum Maxwell theory of a free electromagnetic field, formulated on a curved 3-manifold, we observe that magnetic and electric fluxes cannot be simultaneously measured. This uncertainty principle reflects torsion: fluxes modulo torsion can be simultaneously measured. We also develop the Hamilton theory of self-dual fields, noting that they are quantized by Pontrjagin self-dual cohomology theories and that the quantum Hilbert space is Z/2-graded, so typically contains both bosonic and fermionic states. Significantly, these ideas apply to the Ramond-Ramond field in string theory, showing that its K-theory class cannot be measured.
|
1201.6040
|
Pantelis Tziveloglou
|
Pantelis Tziveloglou
|
Aspects of Effective Supersymmetric Theories
|
Ph.D. thesis. Advisor: Prof. Ignatios Antoniadis. 236 pages, 9
figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work consists of two parts. In the first part we construct the complete
extension of the Minimal Supersymmetric Standard Model by higher dimensional
effective operators and study its phenomenology. These operators encapsulate
the effects on LHC physics of possible new degrees of freedom at the multiTeV
scale. The effective analysis includes the case where the multiTeV physics is
the supersymmetry breaking sector itself. Beyond the new effective couplings,
the analysis suggests an interpretation of the 'little hierarchy problem' as an
indication of new physics at multiTeV scale. In the second part we explore the
power of constrained superfields in extended supersymmetry. It is known that in
N = 2 supersymmetry the gauge kinetic function cannot depend on hypermultiplet
scalars. However, it is also known that the low energy effective action of a
D-brane in an N = 2 supersymmetric bulk includes the DBI action, where the
gauge kinetic function does depend on the dilaton. We show how the
nonlinearization of the second SUSY (imposed by the presence of the D-brane)
opens this possibility, by constructing the global N = 1 linear + 1 nonlinear
invariant coupling of a hypermultiplet with a gauge multiplet. The constructed
theory enjoys interesting features, including a novel super-Higgs mechanism
without gravity.
|
[
{
"created": "Sun, 29 Jan 2012 14:36:57 GMT",
"version": "v1"
}
] |
2012-01-31
|
[
[
"Tziveloglou",
"Pantelis",
""
]
] |
This work consists of two parts. In the first part we construct the complete extension of the Minimal Supersymmetric Standard Model by higher dimensional effective operators and study its phenomenology. These operators encapsulate the effects on LHC physics of possible new degrees of freedom at the multiTeV scale. The effective analysis includes the case where the multiTeV physics is the supersymmetry breaking sector itself. Beyond the new effective couplings, the analysis suggests an interpretation of the 'little hierarchy problem' as an indication of new physics at multiTeV scale. In the second part we explore the power of constrained superfields in extended supersymmetry. It is known that in N = 2 supersymmetry the gauge kinetic function cannot depend on hypermultiplet scalars. However, it is also known that the low energy effective action of a D-brane in an N = 2 supersymmetric bulk includes the DBI action, where the gauge kinetic function does depend on the dilaton. We show how the nonlinearization of the second SUSY (imposed by the presence of the D-brane) opens this possibility, by constructing the global N = 1 linear + 1 nonlinear invariant coupling of a hypermultiplet with a gauge multiplet. The constructed theory enjoys interesting features, including a novel super-Higgs mechanism without gravity.
|
2208.11711
|
Aidan Chatwin-Davies
|
Aidan Chatwin-Davies, Achim Kempf, Petar Simidzija
|
Covariant Predictions for Planck-Scale Features in Primordial Power
Spectra
|
28+26 pages, 10 figures. v2: small tweaks, added references. v3:
revised certain calculations and significantly improved predictions,
discussion of observational prospects
| null |
10.1103/PhysRevD.107.103527
| null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this companion to our letter (arXiv:2208.10514), we elaborate the full
details of the predicted corrections to the primordial scalar and tensor power
spectra that arise from quantum gravity-motivated, natural, covariant
ultraviolet cutoffs. We implement these cutoffs by covariantly restricting the
fields which are summed over in the path integrals for the primordial
correlators, and we discuss in detail the functional analytic techniques
necessary for evaluating such path integrals. Our prediction, which is given in
terms of measured cosmological parameters and without assuming any particular
inflationary potential, is that the corrections take the form of small
oscillations which are superimposed on the conventional power spectra. The
frequency of these oscillations only depends on the location of the cutoff
scale and the first inflationary slow-roll parameter, while the amplitude and
phase are also moderately sensitive to how smoothly the cutoff turns on. The
specificity of the new predictions offers an opportunity to significantly
enhance experimental sensitivity in observations of the cosmic microwave
background and large-scale structure. This may be used to place ever higher
bounds on the scale at which quantum gravity effects become important in
quantum field theory or may even provide positive evidence for quantum gravity
effects.
|
[
{
"created": "Wed, 24 Aug 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2022 15:30:57 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Apr 2023 18:19:53 GMT",
"version": "v3"
}
] |
2023-06-07
|
[
[
"Chatwin-Davies",
"Aidan",
""
],
[
"Kempf",
"Achim",
""
],
[
"Simidzija",
"Petar",
""
]
] |
In this companion to our letter (arXiv:2208.10514), we elaborate the full details of the predicted corrections to the primordial scalar and tensor power spectra that arise from quantum gravity-motivated, natural, covariant ultraviolet cutoffs. We implement these cutoffs by covariantly restricting the fields which are summed over in the path integrals for the primordial correlators, and we discuss in detail the functional analytic techniques necessary for evaluating such path integrals. Our prediction, which is given in terms of measured cosmological parameters and without assuming any particular inflationary potential, is that the corrections take the form of small oscillations which are superimposed on the conventional power spectra. The frequency of these oscillations only depends on the location of the cutoff scale and the first inflationary slow-roll parameter, while the amplitude and phase are also moderately sensitive to how smoothly the cutoff turns on. The specificity of the new predictions offers an opportunity to significantly enhance experimental sensitivity in observations of the cosmic microwave background and large-scale structure. This may be used to place ever higher bounds on the scale at which quantum gravity effects become important in quantum field theory or may even provide positive evidence for quantum gravity effects.
|
hep-th/9412183
|
Kazuto Oshima
|
Kazuto Oshima
|
Gap Equations of O(N) Non-linear Sigma Model in Three Dimensions
|
10pages,Latex
| null | null |
Gunma-Tech-94-1
|
hep-th
| null |
We study the $O(N)$ non-linear $\sigma$ model on three-dimensional manifolds
of constant curvature by means of the large $N$ expansion at the critical
point. We examine saddle point equations imposing anti-periodic boundary
condition in time direction. In the case $S^1 \times S^2$ we find that a
solution is inevitably unstable. We briefly refer to the case $S^1 \times S^1
\times S^1$.
|
[
{
"created": "Wed, 21 Dec 1994 07:34:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Oshima",
"Kazuto",
""
]
] |
We study the $O(N)$ non-linear $\sigma$ model on three-dimensional manifolds of constant curvature by means of the large $N$ expansion at the critical point. We examine saddle point equations imposing anti-periodic boundary condition in time direction. In the case $S^1 \times S^2$ we find that a solution is inevitably unstable. We briefly refer to the case $S^1 \times S^1 \times S^1$.
|
hep-th/0310224
|
Laurent Freidel
|
Laurent Freidel, Lee Smolin
|
The linearization of the Kodama state
|
14 pages, statement on the corresponding Yang-Mills case corrected
|
Class.Quant.Grav. 21 (2004) 3831-3844
|
10.1088/0264-9381/21/16/001
| null |
hep-th gr-qc
| null |
We study the question of whether the linearization of the Kodama state around
classical deSitter spacetime is normalizable in the inner product of the theory
of linearized gravitons on deSitter spacetime. We find the answer is no in the
Lorentzian theory. However, in the Euclidean theory the corresponding
linearized Kodama state is delta-functional normalizable. We discuss whether
this result invalidates the conjecture that the full Kodama state is a good
physical state for quantum gravity with positive cosmological constant.
|
[
{
"created": "Thu, 23 Oct 2003 20:49:43 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2003 17:33:46 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Oct 2003 00:01:23 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Freidel",
"Laurent",
""
],
[
"Smolin",
"Lee",
""
]
] |
We study the question of whether the linearization of the Kodama state around classical deSitter spacetime is normalizable in the inner product of the theory of linearized gravitons on deSitter spacetime. We find the answer is no in the Lorentzian theory. However, in the Euclidean theory the corresponding linearized Kodama state is delta-functional normalizable. We discuss whether this result invalidates the conjecture that the full Kodama state is a good physical state for quantum gravity with positive cosmological constant.
|
hep-th/0609225
|
Aaron Bergman
|
Aaron Bergman
|
Deformations and D-branes
|
33 pages, uses utarticle.cls, dcpic.sty; v2: minor corrections and
refs added
|
Adv.Theor.Math.Phys.12:781-815,2008
| null |
UTTG-12-06, MIFP-06-24
|
hep-th
| null |
I discuss the relation of Hochschild cohomology to the physical states in the
closed topological string. This allows a notion of deformation intrinsic to the
derived category. I use this to identify deformations of a quiver gauge theory
associated to a D-branes at a singularity with generalized deformations of the
geometry of the resolution of the singularity. An explicit map is given from
noncommutative deformations (ie, B-fields) to terms in the superpotential.
|
[
{
"created": "Fri, 29 Sep 2006 19:29:54 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2007 22:31:26 GMT",
"version": "v2"
}
] |
2009-12-07
|
[
[
"Bergman",
"Aaron",
""
]
] |
I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from noncommutative deformations (ie, B-fields) to terms in the superpotential.
|
1203.2264
|
Peter Adshead
|
Peter Adshead and Mark Wyman
|
Gauge-flation trajectories in Chromo-Natural Inflation
|
7 pages 4 figures. Minor revisions, references added. Accepted to PRD
|
Phys. Rev. D 86 (2012) 043530
|
10.1103/PhysRevD.86.043530
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a detailed discussion of the multifield trajectories and
inflationary dynamics of the recently proposed model of Chromo-Natural
inflation, which allows for slow roll inflation on a steep potential with the
aid of classical non-Abelian gauge fields. We show that slow roll inflation can
be achieved across a wide range of the parameter space. We demonstrate that
Chromo-Natural Inflation includes trajectories that match those found in
Gauge-flation and describe how the theories are related.
|
[
{
"created": "Sat, 10 Mar 2012 17:05:54 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Aug 2012 17:48:27 GMT",
"version": "v2"
}
] |
2012-09-17
|
[
[
"Adshead",
"Peter",
""
],
[
"Wyman",
"Mark",
""
]
] |
We provide a detailed discussion of the multifield trajectories and inflationary dynamics of the recently proposed model of Chromo-Natural inflation, which allows for slow roll inflation on a steep potential with the aid of classical non-Abelian gauge fields. We show that slow roll inflation can be achieved across a wide range of the parameter space. We demonstrate that Chromo-Natural Inflation includes trajectories that match those found in Gauge-flation and describe how the theories are related.
|
2007.09136
|
Yannik Zimmermann
|
Fiona K. Seibold, Stijn J. van Tongeren and Yannik Zimmermann
|
The twisted story of worldsheet scattering in $\eta$-deformed $AdS_5
\times S^5$
|
40 pages, published in JHEP, v4: minor clarifications
| null |
10.1007/JHEP12(2020)043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the worldsheet scattering theory of the $\eta$ deformation of the
AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring corresponding to the purely
fermionic Dynkin diagram. This theory is a Weyl-invariant integrable
deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring, with
trigonometric quantum-deformed symmetry. We compute the two-body worldsheet S
matrix of this string in the light-cone gauge at tree level to quadratic order
in fermions. The result factorizes into two elementary blocks, and solves the
classical Yang-Baxter equation. We also determine the corresponding exact
factorized S matrix, and show that its perturbative expansion matches our
tree-level results, once we correctly identify the deformed light-cone symmetry
algebra of the string. Finally, we briefly revisit the computation of the
corresponding S matrix for the $\eta$ deformation based on the distinguished
Dynkin diagram, finding a tree-level S matrix that factorizes and solves the
classical Yang-Baxter equation, in contrast to previous results.
|
[
{
"created": "Fri, 17 Jul 2020 17:54:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 16:07:30 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Oct 2020 14:59:52 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Mar 2021 14:36:15 GMT",
"version": "v4"
}
] |
2021-03-26
|
[
[
"Seibold",
"Fiona K.",
""
],
[
"van Tongeren",
"Stijn J.",
""
],
[
"Zimmermann",
"Yannik",
""
]
] |
We study the worldsheet scattering theory of the $\eta$ deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring corresponding to the purely fermionic Dynkin diagram. This theory is a Weyl-invariant integrable deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring, with trigonometric quantum-deformed symmetry. We compute the two-body worldsheet S matrix of this string in the light-cone gauge at tree level to quadratic order in fermions. The result factorizes into two elementary blocks, and solves the classical Yang-Baxter equation. We also determine the corresponding exact factorized S matrix, and show that its perturbative expansion matches our tree-level results, once we correctly identify the deformed light-cone symmetry algebra of the string. Finally, we briefly revisit the computation of the corresponding S matrix for the $\eta$ deformation based on the distinguished Dynkin diagram, finding a tree-level S matrix that factorizes and solves the classical Yang-Baxter equation, in contrast to previous results.
|
1401.1492
|
In Yong Park
|
I. Y. Park
|
Indication for unsmooth horizon induced by quantum gravity interaction
|
14 pages, no figure, typos corrected, version to appear in EPJC
| null |
10.1140/epjc/s10052-014-3143-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The angular ADM reduction of the BTZ spacetime yields a Liouville-type
theory. The analysis of the resulting Liouville theory naturally leads to
identification of the stretched horizon. The dynamics associated with the
stretched horizon has a feature that seems consistent with the unsmooth
horizon; the quantum gravity effects are essential for the unsmoothness. We
show that the "anomaly" term in the stress-energy tensor is responsible for the
Planck scale energy experienced by an infalling observer.
|
[
{
"created": "Tue, 7 Jan 2014 20:35:41 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2014 15:07:59 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Mar 2014 00:06:58 GMT",
"version": "v3"
},
{
"created": "Wed, 29 Oct 2014 18:04:03 GMT",
"version": "v4"
}
] |
2015-06-18
|
[
[
"Park",
"I. Y.",
""
]
] |
The angular ADM reduction of the BTZ spacetime yields a Liouville-type theory. The analysis of the resulting Liouville theory naturally leads to identification of the stretched horizon. The dynamics associated with the stretched horizon has a feature that seems consistent with the unsmooth horizon; the quantum gravity effects are essential for the unsmoothness. We show that the "anomaly" term in the stress-energy tensor is responsible for the Planck scale energy experienced by an infalling observer.
|
hep-th/9810128
|
Hirosi Ooguri
|
Hirosi Ooguri (UCB/LBNL) and Kostas Skenderis (Spinoza Institute)
|
On The Field Theory Limit Of D-Instantons
|
Major revision; supersymmetry in Euclidean space re-examined. New
conclusions: (1) the supersymmetry is not enhanced in the field theory limit.
(2) the theory becomes free type IIB string theory in the large N limit, but
the limit is not uniform. 9 pages, LaTeX
|
JHEP 9811:013,1998
|
10.1088/1126-6708/1998/11/013
|
UCB-PTH-98/49, LBNL-42387, SPIN-1998/1
|
hep-th
| null |
We study the dilaton/axion configuration near D-instantons in type IIB
superstring theory. In the field theory limit, the metric near the instantons
becomes flat in the string frame as well as in the Einstein frame. In the large
N limit, the string coupling constant becomes zero except near the origin. The
supersymmetry of this configuration is analyzed. An implication of this result
to the IIB Matrix Model is discussed.
|
[
{
"created": "Fri, 16 Oct 1998 19:10:21 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 1998 23:48:39 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ooguri",
"Hirosi",
"",
"UCB/LBNL"
],
[
"Skenderis",
"Kostas",
"",
"Spinoza Institute"
]
] |
We study the dilaton/axion configuration near D-instantons in type IIB superstring theory. In the field theory limit, the metric near the instantons becomes flat in the string frame as well as in the Einstein frame. In the large N limit, the string coupling constant becomes zero except near the origin. The supersymmetry of this configuration is analyzed. An implication of this result to the IIB Matrix Model is discussed.
|
2309.14543
|
Ali Eghbali
|
Ali Eghbali, Meysam Hosseinpour-Sadid, Adel Rezaei-Aghdam
|
T-duality/plurality of BTZ black hole metric coupled to two fermionic
fields
|
36 pages, 7 tables
|
J. High Energ. Phys. 03 (2024) 040
|
10.1007/JHEP03(2024)040
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We ask the question of classical super (non-)Abelian T-duality for BTZ black
hole metric coupling to two fermionic fields. Our approach is based on super
Poisson-Lie (PL) T-duality in the presence of spectator fields. In order to
study the Abelian T-duality of the metric we dualize over the Abelian Lie
supergroups of the types $(1|2)$ and $(2|2)$, in such a way that it is shown
that both original and dual backgrounds of the models are conformally invariant
up to one-loop order in the presence of field strength. Then, we study the
non-Abelian T-duality of the BTZ vacuum metric coupling to two fermionic
fields. The dualizing is performed on some non-Abelian Lie supergroups of the
type $(2|2)$, in such a way that we are dealing with semi-Abelian superdoubles
which are non-isomorphic as Lie superalgebras in each of the models. In the
non-Abelian T-duality case, it is interesting to mention that the models can be
conformally invariant up to one-loop order in both cases of the absence and
presence of field strength. In addition, starting from the decomposition of
semi-Abelian Drinfeld superdoubles generated by some of the ${\cal C}^3 \oplus
{\cal A}_{1,1}$ Lie superbialgebras we study the super PL T-plurality of the
BTZ vacuum metric coupled to two fermionic fields. However, our findings are
interesting in themselves, but at a constructive level, can prompt many new
insights into supergravity and manifestly have interesting mathematical
relationships with double field theory.
|
[
{
"created": "Mon, 25 Sep 2023 21:37:45 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2024 12:40:00 GMT",
"version": "v2"
}
] |
2024-03-11
|
[
[
"Eghbali",
"Ali",
""
],
[
"Hosseinpour-Sadid",
"Meysam",
""
],
[
"Rezaei-Aghdam",
"Adel",
""
]
] |
We ask the question of classical super (non-)Abelian T-duality for BTZ black hole metric coupling to two fermionic fields. Our approach is based on super Poisson-Lie (PL) T-duality in the presence of spectator fields. In order to study the Abelian T-duality of the metric we dualize over the Abelian Lie supergroups of the types $(1|2)$ and $(2|2)$, in such a way that it is shown that both original and dual backgrounds of the models are conformally invariant up to one-loop order in the presence of field strength. Then, we study the non-Abelian T-duality of the BTZ vacuum metric coupling to two fermionic fields. The dualizing is performed on some non-Abelian Lie supergroups of the type $(2|2)$, in such a way that we are dealing with semi-Abelian superdoubles which are non-isomorphic as Lie superalgebras in each of the models. In the non-Abelian T-duality case, it is interesting to mention that the models can be conformally invariant up to one-loop order in both cases of the absence and presence of field strength. In addition, starting from the decomposition of semi-Abelian Drinfeld superdoubles generated by some of the ${\cal C}^3 \oplus {\cal A}_{1,1}$ Lie superbialgebras we study the super PL T-plurality of the BTZ vacuum metric coupled to two fermionic fields. However, our findings are interesting in themselves, but at a constructive level, can prompt many new insights into supergravity and manifestly have interesting mathematical relationships with double field theory.
|
hep-th/0008043
|
Euro Spallucci
|
A.Smailagic, E.Spallucci
|
Wess--Zumino terms and Duality
|
9 pages, ReVTeX, no figures
|
Phys.Lett. B489 (2000) 427-434
|
10.1016/S0370-2693(00)00963-1
| null |
hep-th
| null |
We show the equivalence between Stuckelberg and Wess-Zumino methods of
restoration of gauge symmetries of the anomalous, Abelian, effective action, in
arbitrary even dimensions D=2k. We present dual version of Wess-Zumino terms
with the compensating field described by a Kalb-Ramond like p=2k-2 form.
|
[
{
"created": "Fri, 4 Aug 2000 13:29:43 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Smailagic",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] |
We show the equivalence between Stuckelberg and Wess-Zumino methods of restoration of gauge symmetries of the anomalous, Abelian, effective action, in arbitrary even dimensions D=2k. We present dual version of Wess-Zumino terms with the compensating field described by a Kalb-Ramond like p=2k-2 form.
|
hep-th/9612189
|
M. Navarro
|
Miguel Navarro (Granada U., Madrid, IMAFF), Manuel Calixto (Granada
U.) and V\'ictor Aldaya (Granada U., Valencia U.)
|
Relativistic field equations from higher-order polarizations of the
Poincar\'e group
|
The paper has been reordered. LaTeX file, 15 pp. To appear in Rep.
Math. Phys
|
Rept.Math.Phys. 41 (1998) 193-202
|
10.1016/S0034-4877(98)80175-4
| null |
hep-th
| null |
The theory of free relativistic fields is shown to arise in a unified manner
from higher-order, configuration-space, irreducible representations of the
Poincar\'e group. A de Sitter subalgebra, in the massive case, and a Poincar\'e
subalgebra, in the massless case, of the enveloping algebra of the Poincar\'e
group are the suitable higher-order polarizations. In particular, a simple
group-theoretic derivation of the Dirac equation is given.
|
[
{
"created": "Wed, 18 Dec 1996 12:58:31 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 1998 16:29:49 GMT",
"version": "v2"
}
] |
2016-08-15
|
[
[
"Navarro",
"Miguel",
"",
"Granada U., Madrid, IMAFF"
],
[
"Calixto",
"Manuel",
"",
"Granada\n U."
],
[
"Aldaya",
"Víctor",
"",
"Granada U., Valencia U."
]
] |
The theory of free relativistic fields is shown to arise in a unified manner from higher-order, configuration-space, irreducible representations of the Poincar\'e group. A de Sitter subalgebra, in the massive case, and a Poincar\'e subalgebra, in the massless case, of the enveloping algebra of the Poincar\'e group are the suitable higher-order polarizations. In particular, a simple group-theoretic derivation of the Dirac equation is given.
|
hep-th/0607243
|
Pietro Antonio Grassi
|
P.A. Grassi and M. Marescotti
|
Flux Vacua and Supermanifolds
|
Latex, no figures, 35 pp, misprints and minor changes
|
JHEP 0701:068,2007
|
10.1088/1126-6708/2007/01/068
|
DISTA-UPO-06, DFTT-18/2006
|
hep-th
| null |
As been recently pointed out, physically relevant models derived from string
theory require the presence of non-vanishing form fluxes besides the usual
geometrical constraints. In the case of NS-NS fluxes, the Generalized Complex
Geometry encodes these informations in a beautiful geometrical structure. On
the other hand, the R-R fluxes call for supergeometry as the underlying
mathematical framework. In this context, we analyze the possibility of
constructing interesting supermanifolds recasting the geometrical data and RR
fluxes. To characterize these supermanifolds we have been guided by the fact
topological strings on supermanifolds require the super-Ricci flatness of the
target space. This can be achieved by adding to a given bosonic manifold enough
anticommuting coordinates and new constraints on the bosonic sub-manifold. We
study these constraints at the linear and non-linear level for a pure
geometrical setting and in the presence of p-form field strengths. We find that
certain spaces admit several super-extensions and we give a parameterization in
a simple case of d bosonic coordinates and two fermionic coordinates. In
addition, we comment on the role of the RR field in the construction of the
super-metric. We give several examples based on supergroup manifolds and coset
supermanifolds.
|
[
{
"created": "Sun, 30 Jul 2006 10:26:32 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2006 11:21:35 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Apr 2008 09:54:32 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Grassi",
"P. A.",
""
],
[
"Marescotti",
"M.",
""
]
] |
As been recently pointed out, physically relevant models derived from string theory require the presence of non-vanishing form fluxes besides the usual geometrical constraints. In the case of NS-NS fluxes, the Generalized Complex Geometry encodes these informations in a beautiful geometrical structure. On the other hand, the R-R fluxes call for supergeometry as the underlying mathematical framework. In this context, we analyze the possibility of constructing interesting supermanifolds recasting the geometrical data and RR fluxes. To characterize these supermanifolds we have been guided by the fact topological strings on supermanifolds require the super-Ricci flatness of the target space. This can be achieved by adding to a given bosonic manifold enough anticommuting coordinates and new constraints on the bosonic sub-manifold. We study these constraints at the linear and non-linear level for a pure geometrical setting and in the presence of p-form field strengths. We find that certain spaces admit several super-extensions and we give a parameterization in a simple case of d bosonic coordinates and two fermionic coordinates. In addition, we comment on the role of the RR field in the construction of the super-metric. We give several examples based on supergroup manifolds and coset supermanifolds.
|
hep-th/0603166
|
Daniel Krefl
|
Daniel Krefl and Dieter Lust
|
On supersymmetric Minkowski vacua in IIB orientifolds
|
17 pages, 2 figures; More detailed proof for absence of complex flat
directions in susy AdS vacua given; Footnotes and reference added
|
JHEP 0606:023,2006
|
10.1088/1126-6708/2006/06/023
|
LMU-ASC 20/06, MPP-2006-27
|
hep-th
| null |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on
orbifolds with background fluxes and non-perturbative superpotentials are
investigated. Especially, microscopic requirements and difficulties to obtain
such vacua are discussed. We show that orbifold models with one and two complex
structure moduli and supersymmetric 2-form flux can be successfully stabilized
to such vacua. By taking additional gaugino condensation on fixed space-time
filling D3-branes into account also models without complex structure can be
consistently stabilized to Minkowski vacua.
|
[
{
"created": "Tue, 21 Mar 2006 12:55:30 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2006 12:24:40 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Krefl",
"Daniel",
""
],
[
"Lust",
"Dieter",
""
]
] |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on orbifolds with background fluxes and non-perturbative superpotentials are investigated. Especially, microscopic requirements and difficulties to obtain such vacua are discussed. We show that orbifold models with one and two complex structure moduli and supersymmetric 2-form flux can be successfully stabilized to such vacua. By taking additional gaugino condensation on fixed space-time filling D3-branes into account also models without complex structure can be consistently stabilized to Minkowski vacua.
|
hep-th/0405105
|
Bert Schroer
|
Bert Schroer (CBPF, Rio de Janeiro)
|
An anthology of non-local QFT and QFT on noncommutative spacetime
|
33 pages tci-latex, improvements of formulations, shortening of
sentences, addition of some references
|
Annals Phys. 319 (2005) 92-122
|
10.1016/j.aop.2005.03.003
| null |
hep-th hep-ph physics.hist-ph
| null |
Ever since the appearance of renormalization theory there have been several
differently motivated attempts at non-localized (in the sense of not generated
by point-like fields) relativistic particle theories, the most recent one being
at QFT on non-commutative Minkowski spacetime. The often conceptually
uncritical and historically forgetful contemporary approach to these problems
calls for a critical review the light of previous results on this subject.
|
[
{
"created": "Tue, 11 May 2004 18:47:24 GMT",
"version": "v1"
},
{
"created": "Thu, 13 May 2004 15:28:06 GMT",
"version": "v2"
},
{
"created": "Wed, 26 May 2004 19:10:17 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Dec 2004 12:38:06 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] |
Ever since the appearance of renormalization theory there have been several differently motivated attempts at non-localized (in the sense of not generated by point-like fields) relativistic particle theories, the most recent one being at QFT on non-commutative Minkowski spacetime. The often conceptually uncritical and historically forgetful contemporary approach to these problems calls for a critical review the light of previous results on this subject.
|
1506.07307
|
Abhijit Gadde
|
Abhijit Gadde
|
Holomorphy, triality and non-perturbative beta function in 2d
supersymmetric QCD
|
5 pages, 3 figures
|
Phys. Rev. D 94, 025024 (2016)
|
10.1103/PhysRevD.94.025024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the RG flow in the non-linear sigma models obtained
from a 2d N=(0,2) supersymmetric QCD. The sigma model is parameterized by a
single Kahler modulus. We determine its exact non-perturbative beta function
using holomorphy, triality and the knowledge of the infra-red fixed point.
|
[
{
"created": "Wed, 24 Jun 2015 10:32:17 GMT",
"version": "v1"
}
] |
2016-07-20
|
[
[
"Gadde",
"Abhijit",
""
]
] |
In this paper, we study the RG flow in the non-linear sigma models obtained from a 2d N=(0,2) supersymmetric QCD. The sigma model is parameterized by a single Kahler modulus. We determine its exact non-perturbative beta function using holomorphy, triality and the knowledge of the infra-red fixed point.
|
1412.6719
|
Andrei Zelnikov
|
Valeri P. Frolov and Andrei Zelnikov
|
Bi-conformal symmetry and static Green functions in the
Schwarzschild-Tangherlini spacetimes
|
21 pages
| null | null |
Alberta Thy 19-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study static massless minimally coupled scalar field created by a source
in a static D-dimensional spacetime. We demonstrate that the corresponding
equation for this field is invariant under a special transformation of the
background metric. This transformation consists of the static conformal
transformation of the spatial part of the metric accompanied by a properly
chosen transformation of the red-shift factor. Both transformations are
determined by one function of the spatial coordinates. We show that in a case
of higher dimensional spherically symmetric black holes one can find such a
bi-conformal transformation that the symmetry of the D-dimensional metric is
enhanced after its application. Namely, the metric becomes a direct sum of the
metric on a unit sphere and the metric of 2D anti-de Sitter space. The method
of the heat kernels is used to find the Green function in this new space, that
allows one, after dimensional reduction, to obtain a static Green function in
the original space of the static black hole. The general useful representation
of static Green functions is obtained in the Schwarzschild-Tangherlini
spacetimes of arbitrary dimension. The exact explicit expressions for the
static Green functions are obtained in such metrics for D < 6. It is shown that
in the four dimensional case the corresponding Green function coincides with
the Copson solution.
|
[
{
"created": "Sun, 21 Dec 2014 03:17:41 GMT",
"version": "v1"
}
] |
2014-12-23
|
[
[
"Frolov",
"Valeri P.",
""
],
[
"Zelnikov",
"Andrei",
""
]
] |
We study static massless minimally coupled scalar field created by a source in a static D-dimensional spacetime. We demonstrate that the corresponding equation for this field is invariant under a special transformation of the background metric. This transformation consists of the static conformal transformation of the spatial part of the metric accompanied by a properly chosen transformation of the red-shift factor. Both transformations are determined by one function of the spatial coordinates. We show that in a case of higher dimensional spherically symmetric black holes one can find such a bi-conformal transformation that the symmetry of the D-dimensional metric is enhanced after its application. Namely, the metric becomes a direct sum of the metric on a unit sphere and the metric of 2D anti-de Sitter space. The method of the heat kernels is used to find the Green function in this new space, that allows one, after dimensional reduction, to obtain a static Green function in the original space of the static black hole. The general useful representation of static Green functions is obtained in the Schwarzschild-Tangherlini spacetimes of arbitrary dimension. The exact explicit expressions for the static Green functions are obtained in such metrics for D < 6. It is shown that in the four dimensional case the corresponding Green function coincides with the Copson solution.
|
hep-th/9612162
|
Shamit Kachru
|
Shamit Kachru and Eva Silverstein
|
On Gauge Bosons in the Matrix Model Approach to M Theory
|
12 pages, harvmac big. Some minor typos are corrected
|
Phys.Lett.B396:70-76,1997
|
10.1016/S0370-2693(97)00101-9
|
RU-96-114
|
hep-th
| null |
We discuss the appearance of $E_8\times E_8$ gauge bosons in Banks, Fischler,
Shenker, and Susskind's zero brane quantum mechanics approach to M theory,
compactified on the interval $S^1/Z_2$. The necessary bound states of zero
branes are proven to exist by a straightforward application of T-duality and
heterotic $Spin(32)/Z_2$-Type I duality. We then study directly the zero brane
Hamiltonian in Type I' theory. This Hamiltonian includes couplings between the
zero branes and background Dirichlet 8 branes localized at the orientifold
planes. We identify states, localized at the orientifold planes, with the
requisite gauge boson quantum numbers. An interesting feature is that $E_8$
gauge symmetry relates bound states of different numbers of zero branes.
|
[
{
"created": "Sun, 15 Dec 1996 22:12:32 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 1996 16:36:40 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Kachru",
"Shamit",
""
],
[
"Silverstein",
"Eva",
""
]
] |
We discuss the appearance of $E_8\times E_8$ gauge bosons in Banks, Fischler, Shenker, and Susskind's zero brane quantum mechanics approach to M theory, compactified on the interval $S^1/Z_2$. The necessary bound states of zero branes are proven to exist by a straightforward application of T-duality and heterotic $Spin(32)/Z_2$-Type I duality. We then study directly the zero brane Hamiltonian in Type I' theory. This Hamiltonian includes couplings between the zero branes and background Dirichlet 8 branes localized at the orientifold planes. We identify states, localized at the orientifold planes, with the requisite gauge boson quantum numbers. An interesting feature is that $E_8$ gauge symmetry relates bound states of different numbers of zero branes.
|
hep-th/9212078
| null |
P. Menotti and D. Seminara
|
Closed time like curve and the energy condition in 2+1 dimensional
gravity
|
10 pages (REVTEX 3.0), IFUP-60/92
|
Phys.Lett. B301 (1993) 25-34; Erratum-ibid. B307 (1993) 404
|
10.1016/0370-2693(93)90715-T
| null |
hep-th
| null |
We consider gravity in 2+1 dimensions in presence of extended stationary
sources with rotational symmetry. We prove by direct use of Einstein's
equations that if i) the energy momentum tensor satisfies the weak energy
condition, ii) the universe is open (conical at space infinity), iii) there are
no CTC at space infinity, then there are no CTC at all.
|
[
{
"created": "Sat, 12 Dec 1992 11:39:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Menotti",
"P.",
""
],
[
"Seminara",
"D.",
""
]
] |
We consider gravity in 2+1 dimensions in presence of extended stationary sources with rotational symmetry. We prove by direct use of Einstein's equations that if i) the energy momentum tensor satisfies the weak energy condition, ii) the universe is open (conical at space infinity), iii) there are no CTC at space infinity, then there are no CTC at all.
|
1707.08293
|
Sayid Mondal
|
Parul Jain, Vinay Malvimat, Sayid Mondal and Gautam Sengupta
|
Holographic entanglement negativity conjecture for adjacent intervals in
$AdS_3/CFT_2$
|
8 pages and 3 figures
|
Physics Letters B 793, 10 (2019)
|
10.1016/j.physletb.2019.04.037
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a holographic entanglement negativity conjecture involving the
bulk geometry, for mixed states of adjacent intervals in $(1+1)$-dimensional
dual conformal field theories through the $AdS/CFT$ correspondence. The
holographic entanglement negativity is obtained from a specific algebraic sum
of the geodesics anchored on respective intervals on the boundary which reduces
to the holographic mutual information between them. Utilizing our conjecture we
obtain the entanglement negativity of adjacent intervals in zero and finite
temperature ($1+1$)-dimensional holographic conformal field theories dual to
the bulk $AdS_3$ vacuum and the Euclidean BTZ black hole respectively. Our
holographic conjecture exactly reproduces the conformal field theory results
obtained through the replica technique, in the large central charge limit. We
briefly elucidate the corresponding issue for the $AdS_{d+1}/CFT_d$ scenario.
|
[
{
"created": "Wed, 26 Jul 2017 06:01:23 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2017 17:27:41 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jan 2018 14:43:25 GMT",
"version": "v3"
},
{
"created": "Sat, 17 Feb 2018 07:47:39 GMT",
"version": "v4"
},
{
"created": "Thu, 25 Apr 2019 06:43:32 GMT",
"version": "v5"
}
] |
2019-04-26
|
[
[
"Jain",
"Parul",
""
],
[
"Malvimat",
"Vinay",
""
],
[
"Mondal",
"Sayid",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
We propose a holographic entanglement negativity conjecture involving the bulk geometry, for mixed states of adjacent intervals in $(1+1)$-dimensional dual conformal field theories through the $AdS/CFT$ correspondence. The holographic entanglement negativity is obtained from a specific algebraic sum of the geodesics anchored on respective intervals on the boundary which reduces to the holographic mutual information between them. Utilizing our conjecture we obtain the entanglement negativity of adjacent intervals in zero and finite temperature ($1+1$)-dimensional holographic conformal field theories dual to the bulk $AdS_3$ vacuum and the Euclidean BTZ black hole respectively. Our holographic conjecture exactly reproduces the conformal field theory results obtained through the replica technique, in the large central charge limit. We briefly elucidate the corresponding issue for the $AdS_{d+1}/CFT_d$ scenario.
|
hep-th/0012110
|
Antoine Van Proeyen
|
Eric Bergshoeff, Renata Kallosh and Antoine Van Proeyen
|
Supersymmetry of RS bulk and brane
|
11 pages, 2 figures, for proceedings of NATO advanced research
workshop "Noncommutative structures in mathematics and physics" in Kiev and
in the proceedings of the EC-RTN workshop "The quantum structure of spacetime
and the geometric nature of fundamental interactions" in Berlin. Talks given
by A.V.P
|
Fortsch.Phys. 49 (2001) 625-632
|
10.1002/1521-3978(200105)49:4/6<625::AID-PROP625>3.3.CO;2-9
|
UG/00-18; SU-ITP-00/31; KUL-TF-00/29
|
hep-th
| null |
We review the construction of actions with supersymmetry on spaces with a
domain wall. The latter objects act as sources inducing a jump in the gauge
coupling constant. Despite these singularities, supersymmetry can be
formulated, maintaining its role as a square root of translations in this
singular space. The setup is designed for the application in five dimensions
related to the Randall-Sundrum (RS) scenario. The space has two domain walls.
We discuss the solutions of the theory with fixed scalars and full preserved
supersymmetry, in which case one of the branes can be pushed to infinity, and
solutions where half of the supersymmetries are preserved.
|
[
{
"created": "Wed, 13 Dec 2000 11:07:01 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"Bergshoeff",
"Eric",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We review the construction of actions with supersymmetry on spaces with a domain wall. The latter objects act as sources inducing a jump in the gauge coupling constant. Despite these singularities, supersymmetry can be formulated, maintaining its role as a square root of translations in this singular space. The setup is designed for the application in five dimensions related to the Randall-Sundrum (RS) scenario. The space has two domain walls. We discuss the solutions of the theory with fixed scalars and full preserved supersymmetry, in which case one of the branes can be pushed to infinity, and solutions where half of the supersymmetries are preserved.
|
hep-th/0209047
|
Joseph A. Minahan
|
Joseph A. Minahan (Uppsala)
|
Circular Semiclassical String Solutions on AdS_5 x S_5
|
15 pages, LaTeX;v3 minor error fixed;v4 reference added, sec 4
clarified and expanded slightly; v5 corrected a term in 4.12 and 4.13
|
Nucl.Phys. B648 (2003) 203-214
|
10.1016/S0550-3213(02)00966-5
|
UUITP-06/02
|
hep-th
| null |
We discuss two semiclassical string solutions on AdS_5\times S_5. In the
first case, we consider a multiwrapped circular string pulsating in the radial
direction of AdS_5, but fixed to a point on the S_5. We compute the energy of
this motion as a function of a large quantum number $n$. We identify the string
level with $mn$, where $m$ is the number of string wrappings.
Using the AdS/CFT correspondence, we argue that the bare dimension of the
corresponding gauge invariant operator is $2n$ and that its anomalous dimension
scales as \lambda^{1/4}\sqrt{mn}, for large $n$. Next we consider a
multiwrapped circular string pulsating about two opposite poles of the $S_5$.
We compute the energy of this motion as a function of a large quantum number,
$n$ where again the string level is given as $mn$. We find that the dimension
of the corresponding operator is 2n(1+f(m^2\lambda/(2n)^2)), where f(x) is
computible as a series about x=0 and where it is analytic. We also compare this
result to the BMN result for large J operators.
|
[
{
"created": "Thu, 5 Sep 2002 19:46:52 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Sep 2002 20:31:20 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Sep 2002 15:46:19 GMT",
"version": "v3"
},
{
"created": "Sun, 15 Sep 2002 14:46:42 GMT",
"version": "v4"
},
{
"created": "Sun, 16 May 2004 16:02:20 GMT",
"version": "v5"
}
] |
2010-04-05
|
[
[
"Minahan",
"Joseph A.",
"",
"Uppsala"
]
] |
We discuss two semiclassical string solutions on AdS_5\times S_5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS_5, but fixed to a point on the S_5. We compute the energy of this motion as a function of a large quantum number $n$. We identify the string level with $mn$, where $m$ is the number of string wrappings. Using the AdS/CFT correspondence, we argue that the bare dimension of the corresponding gauge invariant operator is $2n$ and that its anomalous dimension scales as \lambda^{1/4}\sqrt{mn}, for large $n$. Next we consider a multiwrapped circular string pulsating about two opposite poles of the $S_5$. We compute the energy of this motion as a function of a large quantum number, $n$ where again the string level is given as $mn$. We find that the dimension of the corresponding operator is 2n(1+f(m^2\lambda/(2n)^2)), where f(x) is computible as a series about x=0 and where it is analytic. We also compare this result to the BMN result for large J operators.
|
2201.02201
|
Hassan Ganjitabar
|
Hassan Ganjitabar
|
Anisotropic Special Relativity
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Anisotropic Special Relativity (ASR) is the relativistic theory of nature
with a preferred direction in space-time. By relaxing the full-isotropy
constraint on space-time to the preference of one direction, we get a
perturbative modification of the Minkowski metric as
$\mathscr{g}_{\mu\nu}=\eta_{\mu\nu}-b\epsilon_{\mu\nu}$ leading to an extension
to the geometrical objects such as line element. The symmetry group of ASR is
obtained to have six generators satisfying the full Lorentz group algebra.
However, the generators are deformed using the perturbation parameter $b$. So,
ASR retains the same representations of Special Relativity (SR) but allows for
Lorentz-invariant violation at the same time. A procedure to make an
anisotropic quantum field theory is provided wherein the Lorentz-invariant
Lagrangians are replaced with their ASR version in which the inner product of
any pair of covariant/contravariant indices is mediated by the anisotropic
metric $\mathscr{g}_{\mu\nu}$.
|
[
{
"created": "Thu, 6 Jan 2022 17:46:39 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jun 2023 22:21:32 GMT",
"version": "v2"
}
] |
2023-06-27
|
[
[
"Ganjitabar",
"Hassan",
""
]
] |
Anisotropic Special Relativity (ASR) is the relativistic theory of nature with a preferred direction in space-time. By relaxing the full-isotropy constraint on space-time to the preference of one direction, we get a perturbative modification of the Minkowski metric as $\mathscr{g}_{\mu\nu}=\eta_{\mu\nu}-b\epsilon_{\mu\nu}$ leading to an extension to the geometrical objects such as line element. The symmetry group of ASR is obtained to have six generators satisfying the full Lorentz group algebra. However, the generators are deformed using the perturbation parameter $b$. So, ASR retains the same representations of Special Relativity (SR) but allows for Lorentz-invariant violation at the same time. A procedure to make an anisotropic quantum field theory is provided wherein the Lorentz-invariant Lagrangians are replaced with their ASR version in which the inner product of any pair of covariant/contravariant indices is mediated by the anisotropic metric $\mathscr{g}_{\mu\nu}$.
|
1312.1545
|
Shan Hu
|
Shan Hu and Tianjun Li
|
Radial quantization of the 3d CFT and the higher spin/vector model
duality
|
40 pages; v2: the mistake on determinant operator corrected, extended
discussion in section 6, references added
|
Int.J.Mod.Phys.A29 (2014) 26,1450147
|
10.1142/S0217751X14501474
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the radial quantization of the 3d O(N) vector model. We calculate
the higher spin charges whose commutation relations give the higher spin
algebra. The Fock states of higher spin gravity in AdS_{4} are realized as the
states in the 3d CFT. The inner products between these states encode dynamical
information. The construction of bulk operators from CFT is discussed as well.
This serves as the simplest explicit demonstration of the CFT definition for
the quantum gravity.
|
[
{
"created": "Thu, 5 Dec 2013 13:54:57 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 12:32:36 GMT",
"version": "v2"
}
] |
2015-03-24
|
[
[
"Hu",
"Shan",
""
],
[
"Li",
"Tianjun",
""
]
] |
We study the radial quantization of the 3d O(N) vector model. We calculate the higher spin charges whose commutation relations give the higher spin algebra. The Fock states of higher spin gravity in AdS_{4} are realized as the states in the 3d CFT. The inner products between these states encode dynamical information. The construction of bulk operators from CFT is discussed as well. This serves as the simplest explicit demonstration of the CFT definition for the quantum gravity.
|
2404.00497
|
Karapet Mkrtchyan
|
Stefan Fredenhagen, Filipp Lausch, Karapet Mkrtchyan
|
Interactions of massless fermionic fields in three dimensions
|
8 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
All independent interaction vertices involving massless (Fang--Fronsdal)
fermions in three dimensions are classified, completing the classification of
interactions of massless fields of any spin. Similarly to the bosonic case, we
get no independent vertices at quartic or higher order in the fields involving
fields with spin $s\geq 3/2$, and cubic vertices only for spins satisfying
triangle inequalities, apart from the cases involving (matter) fields with spin
$s\leq 1$. Differently from the bosonic cases, we get only one vertex for each
triple of spins with two Majorana fermions and one boson, which is parity even
(odd) when the sum of the spins of all fields involved is odd (even). When the
two Majorana fermions are identical, their coupling to an odd-spin boson is
trivialized. We comment on the non-trivial holographic dictionary relating
these vertices to $CFT$ correlators in two dimensions.
|
[
{
"created": "Sat, 30 Mar 2024 23:28:21 GMT",
"version": "v1"
}
] |
2024-04-02
|
[
[
"Fredenhagen",
"Stefan",
""
],
[
"Lausch",
"Filipp",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] |
All independent interaction vertices involving massless (Fang--Fronsdal) fermions in three dimensions are classified, completing the classification of interactions of massless fields of any spin. Similarly to the bosonic case, we get no independent vertices at quartic or higher order in the fields involving fields with spin $s\geq 3/2$, and cubic vertices only for spins satisfying triangle inequalities, apart from the cases involving (matter) fields with spin $s\leq 1$. Differently from the bosonic cases, we get only one vertex for each triple of spins with two Majorana fermions and one boson, which is parity even (odd) when the sum of the spins of all fields involved is odd (even). When the two Majorana fermions are identical, their coupling to an odd-spin boson is trivialized. We comment on the non-trivial holographic dictionary relating these vertices to $CFT$ correlators in two dimensions.
|
1010.1734
|
Andrei Mironov
|
A.Mironov, A.Morozov and Sh.Shakirov
|
On "Dotsenko-Fateev" representation of the toric conformal blocks
|
10 pages
|
J.Phys.A44:085401,2011
|
10.1088/1751-8113/44/8/085401
|
FIAN/TD-12/10; ITEP/TH-37/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that the recent ansatz of arXiv:1009.5553, inspired by the
original remark due to R.Dijkgraaf and C.Vafa, reproduces the toric conformal
blocks in the same sense that the spherical blocks are given by the integral
representation of arXiv:1001.0563 with a peculiar choice of open integration
contours for screening insertions. In other words, we provide some evidence
that the toric conformal blocks are reproduced by appropriate beta-ensembles
not only in the large-N limit, but also at finite N. The check is explicitly
performed at the first two levels for the 1-point toric functions.
Generalizations to higher genera are briefly discussed.
|
[
{
"created": "Fri, 8 Oct 2010 16:44:23 GMT",
"version": "v1"
}
] |
2011-02-03
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Shakirov",
"Sh.",
""
]
] |
We demonstrate that the recent ansatz of arXiv:1009.5553, inspired by the original remark due to R.Dijkgraaf and C.Vafa, reproduces the toric conformal blocks in the same sense that the spherical blocks are given by the integral representation of arXiv:1001.0563 with a peculiar choice of open integration contours for screening insertions. In other words, we provide some evidence that the toric conformal blocks are reproduced by appropriate beta-ensembles not only in the large-N limit, but also at finite N. The check is explicitly performed at the first two levels for the 1-point toric functions. Generalizations to higher genera are briefly discussed.
|
1403.2238
|
Alexandre Kisselev
|
A.V. Kisselev
|
General solution for the warp function in the RS scenario
|
10 pages, 9 equations and corresponding comments are added
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The five-dimensional space-time, with non-factorizable geometry and fifth
dimension y being an orbifold S^1/Z_2, is studied. In such a scenario,
originally suggested by Randall and Sundrum, there exist two branes at fixed
points of the orbifold, and the four-dimensional metric is multiplied by a warp
factor exp[sigma(y)]. In the present paper, the general solution sigma(y) of
the Einstein-Hilbert's equations is presented which is symmetric with respect
to the interchange of two branes. It obeys the orbifold symmetry y -> - y and
explicitly reproduces jumps of its derivative on both branes. This general
solution for sigma(y) is determined by the Einstein-Hilbert's equations up to a
constant, that results in physically diverse schemes.
|
[
{
"created": "Mon, 10 Mar 2014 13:40:12 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2014 15:14:12 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jul 2014 14:38:49 GMT",
"version": "v3"
},
{
"created": "Tue, 14 Apr 2015 07:48:56 GMT",
"version": "v4"
}
] |
2015-04-15
|
[
[
"Kisselev",
"A. V.",
""
]
] |
The five-dimensional space-time, with non-factorizable geometry and fifth dimension y being an orbifold S^1/Z_2, is studied. In such a scenario, originally suggested by Randall and Sundrum, there exist two branes at fixed points of the orbifold, and the four-dimensional metric is multiplied by a warp factor exp[sigma(y)]. In the present paper, the general solution sigma(y) of the Einstein-Hilbert's equations is presented which is symmetric with respect to the interchange of two branes. It obeys the orbifold symmetry y -> - y and explicitly reproduces jumps of its derivative on both branes. This general solution for sigma(y) is determined by the Einstein-Hilbert's equations up to a constant, that results in physically diverse schemes.
|
1606.00642
|
Mathew Thomas Mr.
|
Mathew Thomas Arun, Debajyoti Choudhury
|
Stabilization of moduli in spacetime with nested warping and the UED
|
22 pages, 3 figures
|
Nucl.Phys.B 923, 258 (2017)
|
10.1016/j.nuclphysb.2017.08.004
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The absence, so far, of any graviton signatures at the LHC imposes severe
constraints on the Randall-Sundrum scenario. Although a generalization to
higher dimensions with nested warpings has been shown to avoid these
constraints, apart from incorporating several other phenomenologically
interesting features, moduli stabilization in such models has been an open
question. We demonstrate here how both the moduli involved can be stabilized,
employing slightly different mechanisms for the two branches of the theory.
This also offers a dynamical mechanism to generate and stabilize the scale for
the Universal Extra Dimensions, another long-standing issue.
|
[
{
"created": "Thu, 2 Jun 2016 12:02:10 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2017 20:43:14 GMT",
"version": "v2"
}
] |
2017-09-04
|
[
[
"Arun",
"Mathew Thomas",
""
],
[
"Choudhury",
"Debajyoti",
""
]
] |
The absence, so far, of any graviton signatures at the LHC imposes severe constraints on the Randall-Sundrum scenario. Although a generalization to higher dimensions with nested warpings has been shown to avoid these constraints, apart from incorporating several other phenomenologically interesting features, moduli stabilization in such models has been an open question. We demonstrate here how both the moduli involved can be stabilized, employing slightly different mechanisms for the two branches of the theory. This also offers a dynamical mechanism to generate and stabilize the scale for the Universal Extra Dimensions, another long-standing issue.
|
1103.1171
|
Shohreh Abdolrahimi
|
Shohreh Abdolrahimi and Andrey A. Shoom
|
Geometric Properties of Static EMdL Horizons
|
10 pages
|
Phys.Rev.D83:104023,2011
|
10.1103/PhysRevD.83.104023
|
Alberta-Thy-04-11
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study non-degenerate and degenerate (extremal) Killing horizons of
arbitrary geometry and topology within the Einstein-Maxwell-dilaton model with
a Liouville potential (the EMdL model) in d-dimensional (d>=4) static
space-times. Using Israel's description of a static space-time, we construct
the EMdL equations and the space-time curvature invariants: the Ricci scalar,
the square of the Ricci tensor, and the Kretschmann scalar. Assuming that
space-time metric functions and the model fields are real analytic functions in
the vicinity of a space-time horizon, we study behavior of the space-time
metric and the fields near the horizon and derive relations between the
space-time curvature invariants calculated on the horizon and geometric
invariants of the horizon surface. The derived relations generalize the similar
relations known for horizons of static four and 5-dimensional vacuum and
4-dimensional electrovacuum space-times. Our analysis shows that all the
extremal horizon surfaces are Einstein spaces. We present necessary conditions
for existence of static extremal horizons within the EMdL model.
|
[
{
"created": "Sun, 6 Mar 2011 22:56:46 GMT",
"version": "v1"
}
] |
2011-05-19
|
[
[
"Abdolrahimi",
"Shohreh",
""
],
[
"Shoom",
"Andrey A.",
""
]
] |
We study non-degenerate and degenerate (extremal) Killing horizons of arbitrary geometry and topology within the Einstein-Maxwell-dilaton model with a Liouville potential (the EMdL model) in d-dimensional (d>=4) static space-times. Using Israel's description of a static space-time, we construct the EMdL equations and the space-time curvature invariants: the Ricci scalar, the square of the Ricci tensor, and the Kretschmann scalar. Assuming that space-time metric functions and the model fields are real analytic functions in the vicinity of a space-time horizon, we study behavior of the space-time metric and the fields near the horizon and derive relations between the space-time curvature invariants calculated on the horizon and geometric invariants of the horizon surface. The derived relations generalize the similar relations known for horizons of static four and 5-dimensional vacuum and 4-dimensional electrovacuum space-times. Our analysis shows that all the extremal horizon surfaces are Einstein spaces. We present necessary conditions for existence of static extremal horizons within the EMdL model.
|
hep-th/9712212
|
Adel Khoudeir Maurched
|
Adel Khoudeir
|
The Abelian Topological Mass Mechanism From Dimensional Reduction
|
Three references added, 6 pages, latex
|
Phys. Rev. D 59, 027702 (1998)
|
10.1103/PhysRevD.59.027702
| null |
hep-th
| null |
We show that the abelian topological mass mechanism in four dimensions,
described by the Cremmer-Sherk action, can be obtained from dimensional
reduction in five dimensions. Starting from a gauge invariant action in five
dimensions, where the dual equivalence between a massless vector field and a
massless second-rank antisymmetric field in five dimensions is established, the
dimensional reduction is performed keeping only one massive mode. Furthermore,
the Kalb-Ramond action and the Stuckelberger formulation for massive spin-1 are
recovered.
|
[
{
"created": "Mon, 22 Dec 1997 22:22:38 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Jan 1998 22:11:17 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Feb 1998 20:49:40 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Khoudeir",
"Adel",
""
]
] |
We show that the abelian topological mass mechanism in four dimensions, described by the Cremmer-Sherk action, can be obtained from dimensional reduction in five dimensions. Starting from a gauge invariant action in five dimensions, where the dual equivalence between a massless vector field and a massless second-rank antisymmetric field in five dimensions is established, the dimensional reduction is performed keeping only one massive mode. Furthermore, the Kalb-Ramond action and the Stuckelberger formulation for massive spin-1 are recovered.
|
hep-th/0010238
|
Gordon Chalmers
|
Gordon Chalmers and Warren Siegel
|
Global conformal anomaly in N=2 string
|
29 pages, LaTeX, one figure
|
Phys.Rev. D64 (2001) 026001
|
10.1103/PhysRevD.64.026001
|
ANL-HEP-PR-00-086, YITP-SB-00-54
|
hep-th
| null |
We show the existence of a global anomaly in the one-loop graphs of N=2
string theory, defined by sewing tree amplitudes, unless spacetime
supersymmetry is imposed. The anomaly is responsible for the non-vanishing
maximally helicity violating amplitudes. The supersymmetric completion of the
N=2 string spectrum is formulated by extending the previous cohomological
analysis with an external spin factor; the target space-time spin-statistics of
these individual fields in a selfdual background are compatible with previous
cohomological analysis as fields of arbitrary spin may be bosonized into one
another. We further analyze duality relations between the open and closed
string amplitudes and demonstrate this in the supersymmetric extension of the
target space-time theory through the insertion of zero-momentum operators.
|
[
{
"created": "Wed, 25 Oct 2000 17:54:32 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2000 21:14:00 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chalmers",
"Gordon",
""
],
[
"Siegel",
"Warren",
""
]
] |
We show the existence of a global anomaly in the one-loop graphs of N=2 string theory, defined by sewing tree amplitudes, unless spacetime supersymmetry is imposed. The anomaly is responsible for the non-vanishing maximally helicity violating amplitudes. The supersymmetric completion of the N=2 string spectrum is formulated by extending the previous cohomological analysis with an external spin factor; the target space-time spin-statistics of these individual fields in a selfdual background are compatible with previous cohomological analysis as fields of arbitrary spin may be bosonized into one another. We further analyze duality relations between the open and closed string amplitudes and demonstrate this in the supersymmetric extension of the target space-time theory through the insertion of zero-momentum operators.
|
1811.01895
|
Chih-Kai Chang
|
Chih-Kai Chang, Christian Ferko, Savdeep Sethi
|
Supersymmetry and $T \overline{T}$ Deformations
|
32 pages; LaTeX; references and an acknowledgement added
| null |
10.1007/JHEP04(2019)131
|
EFI-18-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a manifestly supersymmetric generalization of the solvable $T
\overline{T}$ deformation of two-dimensional field theories. For theories with
$(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term
to the superspace Lagrangian built from a superfield containing the
supercurrent. We prove that the energy levels of the resulting deformed theory
are determined exactly in terms of those of the undeformed theory. This
supersymmetric deformation extends to higher dimensions, where we conjecture
that it might provide a higher-dimensional analogue of $T \overline{T}$,
producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases.
|
[
{
"created": "Mon, 5 Nov 2018 18:21:07 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2019 21:45:33 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Chang",
"Chih-Kai",
""
],
[
"Ferko",
"Christian",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We propose a manifestly supersymmetric generalization of the solvable $T \overline{T}$ deformation of two-dimensional field theories. For theories with $(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term to the superspace Lagrangian built from a superfield containing the supercurrent. We prove that the energy levels of the resulting deformed theory are determined exactly in terms of those of the undeformed theory. This supersymmetric deformation extends to higher dimensions, where we conjecture that it might provide a higher-dimensional analogue of $T \overline{T}$, producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases.
|
hep-th/0412003
|
Michael Thies
|
A. M. Brzoska, F. Lenz, J. W. Negele, and M. Thies
|
Diffusion of Wilson Loops
|
9 pages, 3 figures, revtex; v2: 3 references added
|
Phys.Rev.D71:034008,2005
|
10.1103/PhysRevD.71.034008
|
FAU-TP3-04/7, MIT-CTP-3569
|
hep-th hep-lat hep-ph
| null |
A phenomenological analysis of the distribution of Wilson loops in SU(2)
Yang-Mills theory is presented in which Wilson loop distributions are described
as the result of a diffusion process on the group manifold. It is shown that,
in the absence of forces, diffusion implies Casimir scaling and, conversely,
exact Casimir scaling implies free diffusion. Screening processes occur if
diffusion takes place in a potential. The crucial distinction between screening
of fundamental and adjoint loops is formulated as a symmetry property related
to the center symmetry of the underlying gauge theory. The results are
expressed in terms of an effective Wilson loop action and compared with various
limits of SU(2) Yang-Mills theory.
|
[
{
"created": "Wed, 1 Dec 2004 08:52:57 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2004 15:15:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Brzoska",
"A. M.",
""
],
[
"Lenz",
"F.",
""
],
[
"Negele",
"J. W.",
""
],
[
"Thies",
"M.",
""
]
] |
A phenomenological analysis of the distribution of Wilson loops in SU(2) Yang-Mills theory is presented in which Wilson loop distributions are described as the result of a diffusion process on the group manifold. It is shown that, in the absence of forces, diffusion implies Casimir scaling and, conversely, exact Casimir scaling implies free diffusion. Screening processes occur if diffusion takes place in a potential. The crucial distinction between screening of fundamental and adjoint loops is formulated as a symmetry property related to the center symmetry of the underlying gauge theory. The results are expressed in terms of an effective Wilson loop action and compared with various limits of SU(2) Yang-Mills theory.
|
hep-th/9810084
|
Pawel Mazur
|
Andrzej J. Staruszkiewicz
|
Quantum Mechanics of the Electric Charge
|
Latex file. Published in "Quantum Coherence and Reality", Yakir
Aharonov Festschrift, Columbia, S.C., 1992. Edited by Jeeva S. Anandan and
John L. Safko, World Scientific, Singapore, 1994 pp. 90-94
|
Turk.J.Phys. 23 (1999) 847-850
| null | null |
hep-th
| null |
A simple argument against the existence of magnetic monopoles is given. The
argument is an important part of the quantum theory of the electric charge
developed by the author.
|
[
{
"created": "Tue, 13 Oct 1998 03:48:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Staruszkiewicz",
"Andrzej J.",
""
]
] |
A simple argument against the existence of magnetic monopoles is given. The argument is an important part of the quantum theory of the electric charge developed by the author.
|
0908.2422
|
Andreas Rodigast
|
Andreas Rodigast, Theodor Schuster
|
Gravitational Corrections to Yukawa and Phi^4 Interactions
|
4 pages, 3 figures, RevTeX, reference added
|
Phys.Rev.Lett.104:081301,2010
|
10.1103/PhysRevLett.104.081301
|
HU-EP-09/36
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the lowest order quantum gravitational corrections to Yukawa and
Phi^4 interactions. Our results show that quantum gravity leads to
contributions to the running coupling constants if the particles are massive
and therefore alters the scaling behavior of the Standard Model. Furthermore,
we find that the gravitational contributions to the running of the masses
vanish.
|
[
{
"created": "Mon, 17 Aug 2009 20:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2009 11:23:14 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Feb 2010 12:35:20 GMT",
"version": "v3"
}
] |
2010-04-06
|
[
[
"Rodigast",
"Andreas",
""
],
[
"Schuster",
"Theodor",
""
]
] |
We consider the lowest order quantum gravitational corrections to Yukawa and Phi^4 interactions. Our results show that quantum gravity leads to contributions to the running coupling constants if the particles are massive and therefore alters the scaling behavior of the Standard Model. Furthermore, we find that the gravitational contributions to the running of the masses vanish.
|
2202.08223
|
Daniel Litim
|
Andrew D. Bond and Daniel F. Litim
|
Asymptotic safety guaranteed for strongly coupled gauge theories
|
17 pages, 7 figures
| null |
10.1103/PhysRevD.105.105005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that interacting ultraviolet fixed points in four dimensions
exist at strong coupling, and away from large-$N$ Veneziano limits. This is
established exemplarily for semi-simple supersymmetric gauge theories with
chiral matter and superpotential interactions by using the renormalisation
group and exact methods from supersymmetry. We determine the entire
superconformal window of ultraviolet fixed points as a function of field
multiplicities. Results are in accord with the $a$-theorem, bounds on conformal
charges, Seiberg duality, and unitary. We also find manifolds of
Leigh-Strassler models exhibiting lines of infrared fixed points. At weak
coupling, findings are confirmed using perturbation theory up to three loop.
Benchmark models with low field multiplicities are provided including examples
with Standard~Model-like gauge sectors. Implications for particle physics,
model building, and conformal field theory are indicated.
|
[
{
"created": "Wed, 16 Feb 2022 18:06:31 GMT",
"version": "v1"
}
] |
2022-05-25
|
[
[
"Bond",
"Andrew D.",
""
],
[
"Litim",
"Daniel F.",
""
]
] |
We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling, and away from large-$N$ Veneziano limits. This is established exemplarily for semi-simple supersymmetric gauge theories with chiral matter and superpotential interactions by using the renormalisation group and exact methods from supersymmetry. We determine the entire superconformal window of ultraviolet fixed points as a function of field multiplicities. Results are in accord with the $a$-theorem, bounds on conformal charges, Seiberg duality, and unitary. We also find manifolds of Leigh-Strassler models exhibiting lines of infrared fixed points. At weak coupling, findings are confirmed using perturbation theory up to three loop. Benchmark models with low field multiplicities are provided including examples with Standard~Model-like gauge sectors. Implications for particle physics, model building, and conformal field theory are indicated.
|
1511.05299
|
Ram Brustein
|
Ram Brustein, A.J.M. Medved
|
Teleporting entanglement during black hole evaporation
|
23 pages, 1 figure
| null |
10.1007/JHEP10(2016)028
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The unitary evaporation of a black hole (BH) in an initially pure state must
lead to the eventual purification of the emitted radiation. It follows that the
late radiation has to be entangled with the early radiation and, as a
consequence, the entanglement among the Hawking pair partners has to decrease
continuously from maximal to vanishing during the BH's life span. Starting from
the basic premise that both the horizon radius and the center of mass of a
finite-mass BH are fluctuating quantum mechanically, we show how this process
is realized. First, it is shown that the horizon fluctuations induce a small
amount of variance in the total linear momentum of each created pair. This is
in contrast to the case of an infinitely massive BH, for which the total
momentum of the produced pair vanishes exactly on account of momentum
conservation. This variance leads to a random recoil of the BH during each
emission and, as a result, the center of mass of the BH undergoes a quantum
random walk. Consequently, the uncertainty in its momentum grows as the square
root of the number of emissions. We then show that this uncertainty controls
the amount of deviation from maximal entanglement of the produced pairs and
that this deviation is determined by the ratio of the cumulative number of
emitted particles to the initial BH entropy. Thus, the interplay between the
horizon and center-of-mass fluctuations provides a mechanism for teleporting
entanglement from the pair partners to the BH and the emitted radiation.
|
[
{
"created": "Tue, 17 Nov 2015 07:55:29 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
The unitary evaporation of a black hole (BH) in an initially pure state must lead to the eventual purification of the emitted radiation. It follows that the late radiation has to be entangled with the early radiation and, as a consequence, the entanglement among the Hawking pair partners has to decrease continuously from maximal to vanishing during the BH's life span. Starting from the basic premise that both the horizon radius and the center of mass of a finite-mass BH are fluctuating quantum mechanically, we show how this process is realized. First, it is shown that the horizon fluctuations induce a small amount of variance in the total linear momentum of each created pair. This is in contrast to the case of an infinitely massive BH, for which the total momentum of the produced pair vanishes exactly on account of momentum conservation. This variance leads to a random recoil of the BH during each emission and, as a result, the center of mass of the BH undergoes a quantum random walk. Consequently, the uncertainty in its momentum grows as the square root of the number of emissions. We then show that this uncertainty controls the amount of deviation from maximal entanglement of the produced pairs and that this deviation is determined by the ratio of the cumulative number of emitted particles to the initial BH entropy. Thus, the interplay between the horizon and center-of-mass fluctuations provides a mechanism for teleporting entanglement from the pair partners to the BH and the emitted radiation.
|
1609.02799
|
Sebastian Schwieger
|
Fernando Marchesano and Sebastian Schwieger
|
T-branes and $\alpha'$-corrections
|
42 pages
| null |
10.1007/JHEP11(2016)123
|
IFT-UAM-CSIC-16-082
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $\alpha'$-corrections in multiple D7-brane configurations with
non-commuting profiles for their transverse position fields. We focus on
T-brane systems, crucial in F-theory GUT model building. There
$\alpha'$-corrections modify the D-term piece of the BPS equations which,
already at leading order, require a non-primitive Abelian worldvolume flux
background. We find that $\alpha'$-corrections may either i) leave this flux
background invariant, ii) modify the Abelian non-primitive flux profile, or
iii) deform it to a non-Abelian profile. The last case typically occurs when
primitive fluxes, a necessary ingredient to build 4d chiral models, are added
to the system. We illustrate these three cases by solving the
$\alpha'$-corrected D-term equations in explicit examples, and describe their
appearance in more general T-brane backgrounds. Finally, we discuss
implications of our findings for F-theory GUT local models.
|
[
{
"created": "Fri, 9 Sep 2016 14:06:13 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2017 09:39:57 GMT",
"version": "v2"
}
] |
2017-07-18
|
[
[
"Marchesano",
"Fernando",
""
],
[
"Schwieger",
"Sebastian",
""
]
] |
We study $\alpha'$-corrections in multiple D7-brane configurations with non-commuting profiles for their transverse position fields. We focus on T-brane systems, crucial in F-theory GUT model building. There $\alpha'$-corrections modify the D-term piece of the BPS equations which, already at leading order, require a non-primitive Abelian worldvolume flux background. We find that $\alpha'$-corrections may either i) leave this flux background invariant, ii) modify the Abelian non-primitive flux profile, or iii) deform it to a non-Abelian profile. The last case typically occurs when primitive fluxes, a necessary ingredient to build 4d chiral models, are added to the system. We illustrate these three cases by solving the $\alpha'$-corrected D-term equations in explicit examples, and describe their appearance in more general T-brane backgrounds. Finally, we discuss implications of our findings for F-theory GUT local models.
|
0912.3460
|
Christoph Sieg
|
J. A. Minahan, O. Ohlsson Sax, C. Sieg
|
Anomalous dimensions at four loops in N=6 superconformal Chern-Simons
theories
|
LaTeX, feynmp, 70 pages; v2: signs of three diagrams due to
inconsistent Feynman rules corrected, modifying the final result, typos
corrected, formulations improved
|
Nucl.Phys.B846:542-606,2011
|
10.1016/j.nuclphysb.2011.01.016
|
UUITP-29/09
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In arXiv:0908.2463 we computed the four-loop correction to a function
depending on the 't Hooft coupling(s) that appears in the magnon dispersion
relation of the spin chains derived from single trace operators in N=6
superconformal Chern-Simons theories. In this paper we give detailed
descriptions of this calculation and the computation of the four-loop wrapping
corrections for a length four operator in the 20 of SU(4), the R-symmetry group
for these theories. Here, we give all relevant Feynman diagrams and loop
integrals explicitly, and also demonstrate the cancellation of double poles in
the logarithm of the renormalization constant.
|
[
{
"created": "Thu, 17 Dec 2009 17:07:55 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Oct 2010 18:03:50 GMT",
"version": "v2"
}
] |
2011-02-21
|
[
[
"Minahan",
"J. A.",
""
],
[
"Sax",
"O. Ohlsson",
""
],
[
"Sieg",
"C.",
""
]
] |
In arXiv:0908.2463 we computed the four-loop correction to a function depending on the 't Hooft coupling(s) that appears in the magnon dispersion relation of the spin chains derived from single trace operators in N=6 superconformal Chern-Simons theories. In this paper we give detailed descriptions of this calculation and the computation of the four-loop wrapping corrections for a length four operator in the 20 of SU(4), the R-symmetry group for these theories. Here, we give all relevant Feynman diagrams and loop integrals explicitly, and also demonstrate the cancellation of double poles in the logarithm of the renormalization constant.
|
1903.10634
|
Rommel Guerrero
|
Rommel Guerrero and R. Omar Rodriguez and Rafael Chavez
|
A $SU(5)\times Z_2$ kink solution and its local stability
|
One figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A non-abelian kink inducing asymptotically the breaking pattern $SU(5)\times
Z_2\rightarrow SU(4)\times U(1)/Z_4$ is obtained. We consider a fourth order
Higgs potential in a $1+1$ theory where the scalar field is in the adjoint
representation of $SU(5)$. The perturbative stability of the kink is also
evaluated. A Schr\"odinger-like equation for the excitations along each $SU(5)$
generator is determined, and in none of the cases negative eigenvalues
compromising the stability of solution are found. In particular, several
bounded scalar states are found, being one of them the translational zero mode
of the flat space $SU(5)\times Z_2$ kink.
|
[
{
"created": "Mon, 25 Mar 2019 23:59:57 GMT",
"version": "v1"
}
] |
2019-03-27
|
[
[
"Guerrero",
"Rommel",
""
],
[
"Rodriguez",
"R. Omar",
""
],
[
"Chavez",
"Rafael",
""
]
] |
A non-abelian kink inducing asymptotically the breaking pattern $SU(5)\times Z_2\rightarrow SU(4)\times U(1)/Z_4$ is obtained. We consider a fourth order Higgs potential in a $1+1$ theory where the scalar field is in the adjoint representation of $SU(5)$. The perturbative stability of the kink is also evaluated. A Schr\"odinger-like equation for the excitations along each $SU(5)$ generator is determined, and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are found, being one of them the translational zero mode of the flat space $SU(5)\times Z_2$ kink.
|
0801.3002
|
Jo\~ao Penedones
|
Lorenzo Cornalba (Milan Bicocca U. & INFN, Milan Bicocca), Miguel S.
Costa (Porto U.), Joao Penedones (Porto U. & KITP)
|
Eikonal Methods in AdS/CFT: BFKL Pomeron at Weak Coupling
|
42 pages, 13 figures
|
JHEP 0806:048,2008
|
10.1088/1126-6708/2008/06/048
|
Bicocca-FT-08-02, NSF-KITP-07-212
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider correlators of N=4 super Yang Mills of the form A ~ < O_1 O_2
O*_1 O*_2 >, where the operators O_1 and O_2 are scalar primaries. In
particular, we analyze this correlator in the planar limit and in a Lorentzian
regime corresponding to high energy interactions in AdS. The planar amplitude
is dominated by a Regge pole whose nature varies as a function of the 't Hooft
coupling g^2. At large g, the pole corresponds to graviton exchange in AdS,
whereas at weak g, the pole is that of the hard perturbative BFKL pomeron. We
concentrate on the weak coupling regime and analyze pomeron exchange directly
in position space. The analysis relies heavily on the conformal symmetry of the
transverse space E^2 and of its holographic dual hyperbolic space H_3,
describing with an unified language, both the weak and strong 't Hooft coupling
regimes. In particular, the form of the impact factors is highly constrained in
position space by conformal invariance. Finally, the analysis suggests a
possible AdS eikonal resummation of multi-pomeron exchanges implementing AdS
unitarity, which differs from the usual 4-dimensional eikonal exponentiation.
Relations to violations of 4-dimensional unitarity at high energy and to the
onset of nonlinear effects and gluon saturation become immediate questions for
future research.
|
[
{
"created": "Sat, 19 Jan 2008 01:54:38 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2008 21:32:24 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Cornalba",
"Lorenzo",
"",
"Milan Bicocca U. & INFN, Milan Bicocca"
],
[
"Costa",
"Miguel S.",
"",
"Porto U."
],
[
"Penedones",
"Joao",
"",
"Porto U. & KITP"
]
] |
We consider correlators of N=4 super Yang Mills of the form A ~ < O_1 O_2 O*_1 O*_2 >, where the operators O_1 and O_2 are scalar primaries. In particular, we analyze this correlator in the planar limit and in a Lorentzian regime corresponding to high energy interactions in AdS. The planar amplitude is dominated by a Regge pole whose nature varies as a function of the 't Hooft coupling g^2. At large g, the pole corresponds to graviton exchange in AdS, whereas at weak g, the pole is that of the hard perturbative BFKL pomeron. We concentrate on the weak coupling regime and analyze pomeron exchange directly in position space. The analysis relies heavily on the conformal symmetry of the transverse space E^2 and of its holographic dual hyperbolic space H_3, describing with an unified language, both the weak and strong 't Hooft coupling regimes. In particular, the form of the impact factors is highly constrained in position space by conformal invariance. Finally, the analysis suggests a possible AdS eikonal resummation of multi-pomeron exchanges implementing AdS unitarity, which differs from the usual 4-dimensional eikonal exponentiation. Relations to violations of 4-dimensional unitarity at high energy and to the onset of nonlinear effects and gluon saturation become immediate questions for future research.
|
hep-th/0609067
|
Kazunori Takenaga
|
Makoto Sakamoto (Kobe), Kazunori Takenaga (Tohoku)
|
Large Gauge Hierarchy in Gauge-Higgs Unification
|
21 pages, no figures, version to appear in PRD
|
Phys.Rev.D75:045015,2007
|
10.1103/PhysRevD.75.045015
|
KOBE-TH-06-04, TU-776
|
hep-th hep-ph
| null |
We study a five dimensional SU(3) nonsupersymmetric gauge theory compactified
on $M^4\times S^1/Z_2$ and discuss the gauge hierarchy in the scenario of the
gauge-Higgs unification. Making use of calculability of the Higgs potential and
a curious feature that coefficients in the potential are given by discrete
values, we find two models, in which the large gauge hierarchy is realized,
that is, the weak scale is naturally obtained from an unique large scale such
as a grand unified theory scale or the Planck scale. The size of the Higgs mass
is also discussed in each model. One of the models we find realizes both large
gauge hierarchy and consistent Higgs mass, and shows that the Higgs mass
becomes heavier as the compactified scale becomes smaller.
|
[
{
"created": "Mon, 11 Sep 2006 05:23:23 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Feb 2007 05:49:58 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Sakamoto",
"Makoto",
"",
"Kobe"
],
[
"Takenaga",
"Kazunori",
"",
"Tohoku"
]
] |
We study a five dimensional SU(3) nonsupersymmetric gauge theory compactified on $M^4\times S^1/Z_2$ and discuss the gauge hierarchy in the scenario of the gauge-Higgs unification. Making use of calculability of the Higgs potential and a curious feature that coefficients in the potential are given by discrete values, we find two models, in which the large gauge hierarchy is realized, that is, the weak scale is naturally obtained from an unique large scale such as a grand unified theory scale or the Planck scale. The size of the Higgs mass is also discussed in each model. One of the models we find realizes both large gauge hierarchy and consistent Higgs mass, and shows that the Higgs mass becomes heavier as the compactified scale becomes smaller.
|
hep-th/9805064
|
Samir Mathur
|
Samir D. Mathur and Alec Matusis
|
Absorption of partial waves by three-branes
|
harvmac, 21 pages, some typos corrected, some change in discussion
section
| null | null |
MIT-CTP-2739
|
hep-th
| null |
We study the absorption of a class of fields in the geometry produced by
extremal three-branes. We consider fields that do not mix with the
ten-dimensional graviton. For these fields we solve the wave equations and find
the absorption probabilities for all partial waves at leading order in the
energy. We note that in some of these cases one needs an `intermediate' region
which interpolates between flat Minkowski space at infinity and the AdS
geometry near the branes.
|
[
{
"created": "Mon, 11 May 1998 21:18:33 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 1998 19:51:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Mathur",
"Samir D.",
""
],
[
"Matusis",
"Alec",
""
]
] |
We study the absorption of a class of fields in the geometry produced by extremal three-branes. We consider fields that do not mix with the ten-dimensional graviton. For these fields we solve the wave equations and find the absorption probabilities for all partial waves at leading order in the energy. We note that in some of these cases one needs an `intermediate' region which interpolates between flat Minkowski space at infinity and the AdS geometry near the branes.
|
1704.00066
|
Sean Carroll
|
Ning Bao, Sean M. Carroll, and Ashmeet Singh
|
The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
|
Essay written for the Gravity Research Foundation 2017 Awards for
Essays on Gravitation. 6 pages
| null |
10.1142/S0218271817430131
|
CALT-TH-2017-17
|
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue in a model-independent way that the Hilbert space of quantum gravity
is locally finite-dimensional. In other words, the density operator describing
the state corresponding to a small region of space, when such a notion makes
sense, is defined on a finite-dimensional factor of a larger Hilbert space.
Because quantum gravity potentially describes superpo- sitions of different
geometries, it is crucial that we associate Hilbert-space factors with spatial
regions only on individual decohered branches of the universal wave function.
We discuss some implications of this claim, including the fact that quantum
field theory cannot be a fundamental description of Nature.
|
[
{
"created": "Fri, 31 Mar 2017 21:43:51 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2017 21:23:48 GMT",
"version": "v2"
}
] |
2017-11-22
|
[
[
"Bao",
"Ning",
""
],
[
"Carroll",
"Sean M.",
""
],
[
"Singh",
"Ashmeet",
""
]
] |
We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on a finite-dimensional factor of a larger Hilbert space. Because quantum gravity potentially describes superpo- sitions of different geometries, it is crucial that we associate Hilbert-space factors with spatial regions only on individual decohered branches of the universal wave function. We discuss some implications of this claim, including the fact that quantum field theory cannot be a fundamental description of Nature.
|
1811.04831
|
Mikhail Khramtsov
|
Irina Aref'eva, Mikhail Khramtsov, Maria Tikhanovskaya and Igor
Volovich
|
Replica-nondiagonal solutions in the SYK model
|
66 pages, 44 figures. v4: Expanded and improved discussion on several
points, plot 4A replaced. Version to be published in JHEP
|
JHEP 07 (2019) 113
|
10.1007/JHEP07(2019)113
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the SYK model in the large $N$ limit beyond the replica-diagonal
approximation. First we show that there are exact replica-nondiagonal solutions
of the saddle point equations for $q=2$ for any finite replica number $M$. In
the interacting $q=4$ case we are able to construct the numerical solutions,
which are in one-to-one correspondence to the analytic solutions of the
quadratic model. These solutions are singular in the $M \to 0$ limit in both
quadratic and quartic interaction cases. The calculations of the on-shell
action at finite integer $M$ show that the nondiagonal replica-symmetric
saddles are subleading in both quadratic and quartic cases. We also study
replica-nondiagonal solutions of the SYK in the strong coupling limit. For
arbitrary $q$ we show that besides the usual solutions of the replica-diagonal
saddle point equations in the conformal limit, there are also
replica-nondiagonal solutions for any value of $M$ (including zero). The
specific configurations that we study, have factorized time and replica
dependencies. The corresponding saddle point equations are separable at strong
coupling, and can be solved using the Parisi ansatz from spin glass theory. We
construct the solutions which correspond to the replica-symmetric case and to
one-step replica symmetry breaking. We compute the regularized free energy on
these solutions in the limit of zero replicas. It is observed that there are
nondiagonal solutions with the regularized free energy lower than that of the
standard diagonal conformal solution.
|
[
{
"created": "Mon, 12 Nov 2018 16:21:52 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 17:52:33 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Dec 2018 17:16:38 GMT",
"version": "v3"
},
{
"created": "Sat, 6 Jul 2019 08:29:52 GMT",
"version": "v4"
}
] |
2019-07-22
|
[
[
"Aref'eva",
"Irina",
""
],
[
"Khramtsov",
"Mikhail",
""
],
[
"Tikhanovskaya",
"Maria",
""
],
[
"Volovich",
"Igor",
""
]
] |
We study the SYK model in the large $N$ limit beyond the replica-diagonal approximation. First we show that there are exact replica-nondiagonal solutions of the saddle point equations for $q=2$ for any finite replica number $M$. In the interacting $q=4$ case we are able to construct the numerical solutions, which are in one-to-one correspondence to the analytic solutions of the quadratic model. These solutions are singular in the $M \to 0$ limit in both quadratic and quartic interaction cases. The calculations of the on-shell action at finite integer $M$ show that the nondiagonal replica-symmetric saddles are subleading in both quadratic and quartic cases. We also study replica-nondiagonal solutions of the SYK in the strong coupling limit. For arbitrary $q$ we show that besides the usual solutions of the replica-diagonal saddle point equations in the conformal limit, there are also replica-nondiagonal solutions for any value of $M$ (including zero). The specific configurations that we study, have factorized time and replica dependencies. The corresponding saddle point equations are separable at strong coupling, and can be solved using the Parisi ansatz from spin glass theory. We construct the solutions which correspond to the replica-symmetric case and to one-step replica symmetry breaking. We compute the regularized free energy on these solutions in the limit of zero replicas. It is observed that there are nondiagonal solutions with the regularized free energy lower than that of the standard diagonal conformal solution.
|
1905.03620
|
Stephen Angus
|
Stephen Angus, Kyoungho Cho, Guilherme Franzmann, Shinji Mukohyama,
Jeong-Hyuck Park
|
$\mathbf{O}(D,D)$ completion of the Friedmann equations
|
v2: 31 + 13 pages; 1 figure. References added; abstract amended;
discussion amended and clarified throughout. Results unchanged. To be
published in EPJC. v1: 28 + 12 pages (main body + title, appendix, and
references); 1 figure
|
Eur.Phys.J. C 80, 830 (2020)
|
10.1140/epjc/s10052-020-8379-7
|
YITP-19-40, IPMU19-0074
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In string theory the closed-string massless NS-NS sector forms a multiplet of
$\mathbf{O}(D,D)$ symmetry. This suggests a specific modification to General
Relativity in which the entire NS-NS sector is promoted to stringy graviton
fields. Imposing off-shell $\mathbf{O}(D,D)$ symmetry fixes the correct
couplings to other matter fields and the Einstein field equations are enriched
to comprise $D^{2}+1$ components, dubbed recently as the Einstein Double Field
Equations. Here we explore the cosmological implications of this framework. We
derive the most general homogeneous and isotropic ansatzes for both stringy
graviton fields and the $\mathbf{O}(D,D)$-covariant energy-momentum tensor.
Crucially, the former admits space-filling magnetic $H$-flux. Substituting them
into the Einstein Double Field Equations, we obtain the $\mathbf{O}(D,D)$
completion of the Friedmann equations along with a generalized continuity
equation. We discuss how solutions in this framework may be characterized by
two equation-of-state parameters, $w$ and $\lambda$, where the latter
characterizes the relative intensities of scalar and tensor forces. When
$\lambda+3w=1$, the dilaton remains constant throughout the cosmological
evolution, and one recovers the standard Friedmann equations for generic matter
content (i.e. for any $w$). We further point out that, in contrast to General
Relativity, neither an $\mathbf{O}(D,D)$-symmetric cosmological constant nor a
scalar field with positive energy density gives rise to a de Sitter solution.
|
[
{
"created": "Thu, 9 May 2019 13:36:22 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2020 08:48:33 GMT",
"version": "v2"
}
] |
2020-09-11
|
[
[
"Angus",
"Stephen",
""
],
[
"Cho",
"Kyoungho",
""
],
[
"Franzmann",
"Guilherme",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
In string theory the closed-string massless NS-NS sector forms a multiplet of $\mathbf{O}(D,D)$ symmetry. This suggests a specific modification to General Relativity in which the entire NS-NS sector is promoted to stringy graviton fields. Imposing off-shell $\mathbf{O}(D,D)$ symmetry fixes the correct couplings to other matter fields and the Einstein field equations are enriched to comprise $D^{2}+1$ components, dubbed recently as the Einstein Double Field Equations. Here we explore the cosmological implications of this framework. We derive the most general homogeneous and isotropic ansatzes for both stringy graviton fields and the $\mathbf{O}(D,D)$-covariant energy-momentum tensor. Crucially, the former admits space-filling magnetic $H$-flux. Substituting them into the Einstein Double Field Equations, we obtain the $\mathbf{O}(D,D)$ completion of the Friedmann equations along with a generalized continuity equation. We discuss how solutions in this framework may be characterized by two equation-of-state parameters, $w$ and $\lambda$, where the latter characterizes the relative intensities of scalar and tensor forces. When $\lambda+3w=1$, the dilaton remains constant throughout the cosmological evolution, and one recovers the standard Friedmann equations for generic matter content (i.e. for any $w$). We further point out that, in contrast to General Relativity, neither an $\mathbf{O}(D,D)$-symmetric cosmological constant nor a scalar field with positive energy density gives rise to a de Sitter solution.
|
1411.1669
|
Hui Luo
|
Hui Luo, Pierpaolo Mastrolia and William J. Torres Bobadilla
|
On the Subleading-Soft Behaviour of QCD Amplitudes
|
24 pages, 4 figures
| null |
10.1103/PhysRevD.91.065018
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate on the radiative behaviour of tree-level scattering amplitudes
in the soft regime. We show that the sub-leading soft term in single-gluon
emission of quark-gluon amplitudes in QCD is controlled by differential
operators, whose universal form can be derived from both on-shell recursion
relation and gauge invariance, as it was shown to hold for graviton- and
gluon-scattering.
|
[
{
"created": "Thu, 6 Nov 2014 17:36:21 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Luo",
"Hui",
""
],
[
"Mastrolia",
"Pierpaolo",
""
],
[
"Bobadilla",
"William J. Torres",
""
]
] |
We elaborate on the radiative behaviour of tree-level scattering amplitudes in the soft regime. We show that the sub-leading soft term in single-gluon emission of quark-gluon amplitudes in QCD is controlled by differential operators, whose universal form can be derived from both on-shell recursion relation and gauge invariance, as it was shown to hold for graviton- and gluon-scattering.
|
1401.7812
|
Kluson Josef
|
J. Kluson
|
Note About Non-Relativistic Diffeomorphism Invariant Gravity Action in
Three Dimensions
|
6 pages, v2:Significant correction in the introduction section and
the main body of the paper
|
Phys. Rev. D 89, 104036 (2014)
|
10.1103/PhysRevD.89.104036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This short note is devoted to the Hamiltonian analysis of three dimensional
gravity action that was proposed recently in [arXiv:1309.7231]. We modify given
action in order to be invariant under non-relativistic diffeomorphism. Then we
perform Hamiltonian analysis of given action and determine the number of
physical degrees of freedom.
|
[
{
"created": "Thu, 30 Jan 2014 11:57:46 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2014 20:21:48 GMT",
"version": "v2"
}
] |
2014-05-28
|
[
[
"Kluson",
"J.",
""
]
] |
This short note is devoted to the Hamiltonian analysis of three dimensional gravity action that was proposed recently in [arXiv:1309.7231]. We modify given action in order to be invariant under non-relativistic diffeomorphism. Then we perform Hamiltonian analysis of given action and determine the number of physical degrees of freedom.
|
hep-th/0212263
|
Andre Lukas
|
Matthias Brandle and Andre Lukas
|
Flop Transitions in M-theory Cosmology
|
18 pages, Latex, 8 eps-figures, typos corrected
|
Phys.Rev. D68 (2003) 024030
|
10.1103/PhysRevD.68.024030
|
SUSX-TH/02-027
|
hep-th
| null |
We study flop-transitions for M-theory on Calabi-Yau three-folds and their
applications to cosmology in the context of the effective five-dimensional
supergravity theory. In particular, the additional hypermultiplet which becomes
massless at the transition is included in the effective action. We find the
potential for this hypermultiplet which includes quadratic and quartic terms as
well as additional dependence on the Kahler moduli. By constructing explicit
cosmological solutions, it is demonstrated that a flop-transition can indeed by
achieved dynamically, as long as the hypermultiplet is set to zero. Once
excitations of the hypermultiplet are taken into account we find that the
transition is generically not completed but the system is stabilised close to
the transition region. Regions of moduli space close to flop-transitions can,
therefore, be viewed as preferred by the cosmological evolution.
|
[
{
"created": "Fri, 20 Dec 2002 17:22:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2003 10:33:59 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Brandle",
"Matthias",
""
],
[
"Lukas",
"Andre",
""
]
] |
We study flop-transitions for M-theory on Calabi-Yau three-folds and their applications to cosmology in the context of the effective five-dimensional supergravity theory. In particular, the additional hypermultiplet which becomes massless at the transition is included in the effective action. We find the potential for this hypermultiplet which includes quadratic and quartic terms as well as additional dependence on the Kahler moduli. By constructing explicit cosmological solutions, it is demonstrated that a flop-transition can indeed by achieved dynamically, as long as the hypermultiplet is set to zero. Once excitations of the hypermultiplet are taken into account we find that the transition is generically not completed but the system is stabilised close to the transition region. Regions of moduli space close to flop-transitions can, therefore, be viewed as preferred by the cosmological evolution.
|
0801.0198
|
Keijo Kajantie
|
K. Kajantie, Jorma Louko, T. Tahkokallio
|
Gravity dual of conformal matter collisions in 1+1 dimensions
|
19 pages, 5 figures, three references added, text modified
accordingly, typos corrected
|
Phys.Rev.D77:066001,2008
|
10.1103/PhysRevD.77.066001
|
HIP-2007-75/TH
|
hep-th hep-ph
| null |
We find the three-dimensional gravity dual of a process in which two clouds
of (1+1)-dimensional conformal matter moving in opposite directions collide.
This gives the most general conformally invariant holographic flow in the 1+1
dimensional boundary theory in terms of two arbitrary functions. With a
suitable choice of the arbitrary functions the process can be interpreted as an
opaque collision of two extended systems with central, fragmentation and
interaction regions. Comparison with classical gluon field calculations relates
the size of the system with the saturation scale.
|
[
{
"created": "Mon, 31 Dec 2007 10:01:52 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2008 07:09:46 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Kajantie",
"K.",
""
],
[
"Louko",
"Jorma",
""
],
[
"Tahkokallio",
"T.",
""
]
] |
We find the three-dimensional gravity dual of a process in which two clouds of (1+1)-dimensional conformal matter moving in opposite directions collide. This gives the most general conformally invariant holographic flow in the 1+1 dimensional boundary theory in terms of two arbitrary functions. With a suitable choice of the arbitrary functions the process can be interpreted as an opaque collision of two extended systems with central, fragmentation and interaction regions. Comparison with classical gluon field calculations relates the size of the system with the saturation scale.
|
2011.13933
|
Pablo Antonio Cano Molina-Ni\~nirola
|
Pablo A. Cano, Kwinten Fransen and Thomas Hertog
|
Novel higher-curvature variations of $R^2$ inflation
|
27 pages, double column, 6 figures
|
Phys. Rev. D 103, 103531 (2021)
|
10.1103/PhysRevD.103.103531
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We put forward novel extensions of Starobinsky inflation, involving a class
of 'geometric' higher-curvature corrections that yield second-order
Friedmann-Lema\^itre equations and second-order-in-time linearized equations
around cosmological backgrounds. We determine the range of models within this
class that admit an extended phase of slow roll inflation as an attractor. By
embedding these theories in anti-de Sitter space, we derive holographic
'unitarity' bounds on the two dominant higher-order curvature corrections.
Finally we compute the leading corrections to the spectral properties of scalar
and tensor primordial perturbations, including the modified consistency
relation $r=-8n_{T}$. Remarkably, the range of models singled out by holography
nearly coincides with the current observational bounds on the scalar spectral
tilt. Our results indicate that future observations have the potential to
discriminate between different higher-curvature corrections considered here.
|
[
{
"created": "Fri, 27 Nov 2020 19:00:00 GMT",
"version": "v1"
}
] |
2021-05-26
|
[
[
"Cano",
"Pablo A.",
""
],
[
"Fransen",
"Kwinten",
""
],
[
"Hertog",
"Thomas",
""
]
] |
We put forward novel extensions of Starobinsky inflation, involving a class of 'geometric' higher-curvature corrections that yield second-order Friedmann-Lema\^itre equations and second-order-in-time linearized equations around cosmological backgrounds. We determine the range of models within this class that admit an extended phase of slow roll inflation as an attractor. By embedding these theories in anti-de Sitter space, we derive holographic 'unitarity' bounds on the two dominant higher-order curvature corrections. Finally we compute the leading corrections to the spectral properties of scalar and tensor primordial perturbations, including the modified consistency relation $r=-8n_{T}$. Remarkably, the range of models singled out by holography nearly coincides with the current observational bounds on the scalar spectral tilt. Our results indicate that future observations have the potential to discriminate between different higher-curvature corrections considered here.
|
2110.08277
|
Mainak Mukhopadhyay
|
Mainak Mukhopadhyay, Evangelos I. Sfakianakis, Tanmay Vachaspati,
George Zahariade
|
Kink-antikink scattering in a quantum vacuum
|
29 pages, 16 figures, published version
|
JHEP 04 (2022) 118
|
10.1007/JHEP04(2022)118
| null |
hep-th cond-mat.other hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study kink-antikink scattering in the sine-Gordon model in the presence of
interactions with an additional scalar field, $\psi$, that is in its quantum
vacuum. In contrast to the classical scattering, now there is quantum radiation
of $\psi$ quanta and the kink-antikink may form bound states that resemble
breathers of the sine-Gordon model. We quantify the rate of radiation and map
the parameters for which bound states are formed. Even these bound states
radiate and decay, and eventually there is a transition into long-lived
oscillons.
|
[
{
"created": "Fri, 15 Oct 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2022 21:54:21 GMT",
"version": "v2"
}
] |
2022-05-18
|
[
[
"Mukhopadhyay",
"Mainak",
""
],
[
"Sfakianakis",
"Evangelos I.",
""
],
[
"Vachaspati",
"Tanmay",
""
],
[
"Zahariade",
"George",
""
]
] |
We study kink-antikink scattering in the sine-Gordon model in the presence of interactions with an additional scalar field, $\psi$, that is in its quantum vacuum. In contrast to the classical scattering, now there is quantum radiation of $\psi$ quanta and the kink-antikink may form bound states that resemble breathers of the sine-Gordon model. We quantify the rate of radiation and map the parameters for which bound states are formed. Even these bound states radiate and decay, and eventually there is a transition into long-lived oscillons.
|
hep-th/9907214
|
Antonio De Giovanni
|
A. De Giovanni, A. Santambrogio and D. Zanon
|
$(\alpha')^4$ corrections to the N=2 supersymmetric Born-Infeld action
|
LaTex, 12 pages, 2 figures. Some mistakes corrected
|
Phys.Lett. B472 (2000) 94-100; Erratum-ibid. B478 (2000) 457-458
|
10.1016/S0370-2693(99)01319-2
| null |
hep-th
| null |
We consider the N=2 supersymmetric Born-Infeld action and compute one-loop
divergences quantizing the theory in N=1 superspace. We find that in the
presence of non constant curvature the theory is not renormalizable. The
structure of the $(\alpha')^4$ counterterm, proportional to derivatives of the
curvature, is consistent with effective action calculations from superstring
theory.
|
[
{
"created": "Thu, 29 Jul 1999 10:21:37 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 1999 13:17:56 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Dec 1999 15:00:43 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"De Giovanni",
"A.",
""
],
[
"Santambrogio",
"A.",
""
],
[
"Zanon",
"D.",
""
]
] |
We consider the N=2 supersymmetric Born-Infeld action and compute one-loop divergences quantizing the theory in N=1 superspace. We find that in the presence of non constant curvature the theory is not renormalizable. The structure of the $(\alpha')^4$ counterterm, proportional to derivatives of the curvature, is consistent with effective action calculations from superstring theory.
|
hep-th/9802070
|
Jose Carlos Brunelli
|
J. C. Brunelli and A. Das
|
Non-Local Charges and their Algebra in Topological Field Theory
|
11 pages, plain TeX
|
Phys.Lett. B438 (1998) 99-105
|
10.1016/S0370-2693(98)00933-2
| null |
hep-th
| null |
With the third order Monge-Amp\`ere equation as an example, we show that
there exists an infinite number of nonlocal conserved charges associated with
the Witten-Dijkgraaf-Verlinde-Verlinde equations. A general prescription for
the construction of these charges is given and the charge algebra is calculated
bringing out various other interesting features associated with such systems.
|
[
{
"created": "Wed, 11 Feb 1998 11:30:06 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Brunelli",
"J. C.",
""
],
[
"Das",
"A.",
""
]
] |
With the third order Monge-Amp\`ere equation as an example, we show that there exists an infinite number of nonlocal conserved charges associated with the Witten-Dijkgraaf-Verlinde-Verlinde equations. A general prescription for the construction of these charges is given and the charge algebra is calculated bringing out various other interesting features associated with such systems.
|
0911.3413
|
Lotte Hollands
|
Lotte Hollands
|
Topological Strings and Quantum Curves
|
PhD thesis, July 2009, 308 pages, 65 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis presents several new insights on the interface between
mathematics and theoretical physics, with a central role for fermions on
Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW
models is embedded into string theory. Secondly, this model is generalized to a
web of dualities connecting topological string theory and N=2 supersymmetric
gauge theories to a configuration of D-branes that intersect over a Riemann
surface. This description yields a new perspective on topological string theory
in terms of a KP integrable system based on a quantum curve. Thirdly, this
thesis describes a geometric analysis of wall-crossing in N=4 string theory.
And lastly, it offers a novel approach to construct metastable vacua in type
IIB string theory.
|
[
{
"created": "Tue, 17 Nov 2009 22:12:34 GMT",
"version": "v1"
}
] |
2009-11-19
|
[
[
"Hollands",
"Lotte",
""
]
] |
This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for fermions on Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW models is embedded into string theory. Secondly, this model is generalized to a web of dualities connecting topological string theory and N=2 supersymmetric gauge theories to a configuration of D-branes that intersect over a Riemann surface. This description yields a new perspective on topological string theory in terms of a KP integrable system based on a quantum curve. Thirdly, this thesis describes a geometric analysis of wall-crossing in N=4 string theory. And lastly, it offers a novel approach to construct metastable vacua in type IIB string theory.
|
2212.02414
|
Mauricio Valenzuela
|
Mauricio Valenzuela
|
Pseudoclassical system with gauge and time-reparametrization invariance
|
18 pages
|
Phys. Rev. D 107, 085004. Published 6 April 2023
|
10.1103/PhysRevD.107.085004
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present a pseudoclassical mechanics model which exhibits gauge symmetry
and time-reparametrization invariance. As such, first- and second-class
constraints restrict the phase space, and the Hamiltonian weakly vanishes. We
show that the Dirac conjecture does not hold -- the secondary first-class
constraint is not a symmetry generator -- and only the gauge fixing condition
associated with the primary first-class constraint is needed to remove the
gauge ambiguities. The gauge fixed theory is equivalent to the Fermi harmonic
oscillator extended by a boundary term. We quantize in the deformation
quantization and in the Schrodinger representation approaches and observe that
the boundary term prepares the system in the state of positive energy.
|
[
{
"created": "Mon, 5 Dec 2022 16:54:39 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 18:11:48 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Mar 2023 22:15:11 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Apr 2023 17:38:48 GMT",
"version": "v4"
}
] |
2023-04-07
|
[
[
"Valenzuela",
"Mauricio",
""
]
] |
We present a pseudoclassical mechanics model which exhibits gauge symmetry and time-reparametrization invariance. As such, first- and second-class constraints restrict the phase space, and the Hamiltonian weakly vanishes. We show that the Dirac conjecture does not hold -- the secondary first-class constraint is not a symmetry generator -- and only the gauge fixing condition associated with the primary first-class constraint is needed to remove the gauge ambiguities. The gauge fixed theory is equivalent to the Fermi harmonic oscillator extended by a boundary term. We quantize in the deformation quantization and in the Schrodinger representation approaches and observe that the boundary term prepares the system in the state of positive energy.
|
hep-th/0703183
|
Michael Luke Walker
|
M.L. Walker
|
Isotropic and Gauge Invariant Monopole Condensation in SU(2) QCD
|
5 pages, latex, new submission 18/10/2007, typos corrected
| null | null | null |
hep-th
| null |
I construct an isotropic, gauge invariant monopole condensate in SU(2) QCD.
It provides a suitable, gauge-invariant vacuum for the dual-Meissner effect to
provide QCD colour confinement without violating the isotropy of real space.
|
[
{
"created": "Wed, 21 Mar 2007 03:22:55 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2007 23:57:07 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Oct 2007 06:57:39 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Feb 2008 03:50:01 GMT",
"version": "v4"
}
] |
2008-02-28
|
[
[
"Walker",
"M. L.",
""
]
] |
I construct an isotropic, gauge invariant monopole condensate in SU(2) QCD. It provides a suitable, gauge-invariant vacuum for the dual-Meissner effect to provide QCD colour confinement without violating the isotropy of real space.
|
hep-th/9812068
|
Christos Kokorelis
|
Christos kokorelis
|
The Master Equation for the Prepotential-Pub
|
Shorter version of hep-th/9802099 to appear in Nuclear Physics B
|
Nucl.Phys.B542:89-112,1999
|
10.1016/S0550-3213(98)00837-2
|
CK-TH-98-003
|
hep-th hep-ph math.AG
| null |
The perturbative prepotential and the K\"ahler metric of the vector
multiplets of the N=2 effective low-energy heterotic strings is calculated
directly in N=1 six-dimensional toroidal compactifications of the heterotic
string vacua. This method provides the solution for the one loop correction to
the N=2 vector multiplet prepotential for compactifications of the heterotic
string for any rank three and four models, as well for compactifications on
$K_3 \times T^2$. In addition, we complete previous calculations, derived from
string amplitudes, by deriving the differential equation for the third
derivative of the prepotential with respect of the usual complex structure U
moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential,
using its modular properties, for N=2 compactifications of the heterotic string
exhibiting modular groups similar with those appearing in N=2 sectors of N=1
orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric
Yang-Mills.
|
[
{
"created": "Tue, 8 Dec 1998 14:28:28 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"kokorelis",
"Christos",
""
]
] |
The perturbative prepotential and the K\"ahler metric of the vector multiplets of the N=2 effective low-energy heterotic strings is calculated directly in N=1 six-dimensional toroidal compactifications of the heterotic string vacua. This method provides the solution for the one loop correction to the N=2 vector multiplet prepotential for compactifications of the heterotic string for any rank three and four models, as well for compactifications on $K_3 \times T^2$. In addition, we complete previous calculations, derived from string amplitudes, by deriving the differential equation for the third derivative of the prepotential with respect of the usual complex structure U moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential, using its modular properties, for N=2 compactifications of the heterotic string exhibiting modular groups similar with those appearing in N=2 sectors of N=1 orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric Yang-Mills.
|
1712.02772
|
Ben Meiring
|
Jorge Casalderrey-Solana, Nikola I. Gushterov, Ben Meiring
|
Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
|
34 pages, 21 figures. Coefficients for the gradient expansion of the
energy density provided
| null |
10.1007/JHEP04(2018)042
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the convergence of the hydrodynamic series in the gravity dual of
Gauss-Bonnet gravity in five dimensions with negative cosmological constant via
holography. By imposing boost invariance symmetry, we find a solution to the
Gauss-Bonnet equation of motion in inverse powers of the proper time, from
which we can extract high order corrections to Bjorken flow for different
values of the Gauss-Bonnet parameter $\lambda_{GB}$. As in all other known
examples the gradient expansion is, at most, an asymptotic series which can be
understood through applying the techniques of Borel-Pad\'e summation. As
expected from the behaviour of the quasi-normal modes in the theory, we observe
that the singularities in the Borel plane of this series show qualitative
features that interpolate between the infinitely strong coupling limit of
$\mathcal{N}=4$ Super Yang Mills theory and the expectation from kinetic
theory. We further perform the Borel resummation to constrain the behaviour of
hydrodynamic attractors beyond leading order in the hydrodynamic expansion. We
find that for all values of $\lambda_{GB}$ considered, the convergence of
different initial conditions to the resummation and its hydrodynamization occur
at large and comparable values of the pressure anisotropy.
|
[
{
"created": "Thu, 7 Dec 2017 18:36:45 GMT",
"version": "v1"
}
] |
2018-05-23
|
[
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Gushterov",
"Nikola I.",
""
],
[
"Meiring",
"Ben",
""
]
] |
We study the convergence of the hydrodynamic series in the gravity dual of Gauss-Bonnet gravity in five dimensions with negative cosmological constant via holography. By imposing boost invariance symmetry, we find a solution to the Gauss-Bonnet equation of motion in inverse powers of the proper time, from which we can extract high order corrections to Bjorken flow for different values of the Gauss-Bonnet parameter $\lambda_{GB}$. As in all other known examples the gradient expansion is, at most, an asymptotic series which can be understood through applying the techniques of Borel-Pad\'e summation. As expected from the behaviour of the quasi-normal modes in the theory, we observe that the singularities in the Borel plane of this series show qualitative features that interpolate between the infinitely strong coupling limit of $\mathcal{N}=4$ Super Yang Mills theory and the expectation from kinetic theory. We further perform the Borel resummation to constrain the behaviour of hydrodynamic attractors beyond leading order in the hydrodynamic expansion. We find that for all values of $\lambda_{GB}$ considered, the convergence of different initial conditions to the resummation and its hydrodynamization occur at large and comparable values of the pressure anisotropy.
|
1310.2113
|
Juan L. Manes
|
Juan L. Ma\~nes and Manuel Valle
|
Parity odd equilibrium partition function in 2+1 dimensions
|
16 pages. 1 reference added, typo in Eq. (3.34) corrected. Matches
journal version
|
JHEP 1311 (2013) 178
|
10.1007/JHEP11(2013)178
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use Schwinger's proper time method to compute the parity odd contributions
to the U(1) current and energy-momentum tensor of an ideal gas of fermions in
2+1 dimensions in the presence of static gauge and gravitational backgrounds.
From these results the equilibrium partition function at first order in the
derivative expansion is explicitly obtained by integration. The form of the
computed partition function is consistent with general arguments based on
Kaluza-Klein and gauge invariance.
|
[
{
"created": "Tue, 8 Oct 2013 12:37:58 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2014 21:04:26 GMT",
"version": "v2"
}
] |
2014-01-24
|
[
[
"Mañes",
"Juan L.",
""
],
[
"Valle",
"Manuel",
""
]
] |
We use Schwinger's proper time method to compute the parity odd contributions to the U(1) current and energy-momentum tensor of an ideal gas of fermions in 2+1 dimensions in the presence of static gauge and gravitational backgrounds. From these results the equilibrium partition function at first order in the derivative expansion is explicitly obtained by integration. The form of the computed partition function is consistent with general arguments based on Kaluza-Klein and gauge invariance.
|
1212.5672
|
Matteo Beccaria
|
Matteo Beccaria, Guido Macorini
|
Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
|
37 pages, one reference added in v2
| null |
10.1007/JHEP03(2013)040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider integrable superstring theory on AdS_3 x S^3 x M^4 where M^4=T^4
or M^4=S^3 x S^1 with generic ratio of the radii of the two 3-spheres. We
compute the one-loop energy of a short folded string spinning in AdS_3 and
rotating in S^3. The computation is performed by world-sheet small spin
perturbation theory as well as by quantizing the classical algebraic curve
characterizing the finite-gap equations. The two methods give equal results up
to regularization contributions that are under control. One important byproduct
of the calculation is the part of the energy which is due to the dressing phase
in the Bethe Ansatz. Remarkably, this contribution E_1^{dressing} turns out to
be independent on the radii ratio. In the M^4=T^4 limit, we discuss how
E_1^{dressing} relates to a recent proposal for the dressing phase tested in
the su(2) sector. We point out some difficulties suggesting that quantization
of the AdS_3 classical finite-gap equations could be subtler than the easier
AdS_5 x S^5 case.
|
[
{
"created": "Sat, 22 Dec 2012 09:23:32 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2013 09:30:32 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
]
] |
We consider integrable superstring theory on AdS_3 x S^3 x M^4 where M^4=T^4 or M^4=S^3 x S^1 with generic ratio of the radii of the two 3-spheres. We compute the one-loop energy of a short folded string spinning in AdS_3 and rotating in S^3. The computation is performed by world-sheet small spin perturbation theory as well as by quantizing the classical algebraic curve characterizing the finite-gap equations. The two methods give equal results up to regularization contributions that are under control. One important byproduct of the calculation is the part of the energy which is due to the dressing phase in the Bethe Ansatz. Remarkably, this contribution E_1^{dressing} turns out to be independent on the radii ratio. In the M^4=T^4 limit, we discuss how E_1^{dressing} relates to a recent proposal for the dressing phase tested in the su(2) sector. We point out some difficulties suggesting that quantization of the AdS_3 classical finite-gap equations could be subtler than the easier AdS_5 x S^5 case.
|
hep-th/0602039
|
Lilia Anguelova
|
Lilia Anguelova and Konstantinos Zoubos
|
Flux Superpotential in Heterotic M-theory
|
33 pages; minor clarifications, reference added
|
Phys.Rev.D74:026005,2006
|
10.1103/PhysRevD.74.026005
|
QMUL-PH-06-01
|
hep-th
| null |
We derive the most general flux-induced superpotential for N=1 M-theory
compactifications on seven-dimensional manifolds with SU(3) structure. Imposing
the appropriate boundary conditions, this result applies for heterotic
M-theory. It is crucial for the latter to consider SU(3) and not G_2 group
structure on the seven-dimensional internal space. For a particular background
that differs from CY(3) x S^1/Z_2 only by warp factors, we investigate the
flux-generated scalar potential as a function of the orbifold length. We find a
positive cosmological constant minimum, however at an undesirably large value
of this length. Hence the flux superpotential alone is not enough to stabilize
the orbifold length at a de Sitter vacuum. But it does modify substantially the
interplay between the previously studied non-perturbative effects, possibly
reducing the significance of open membrane instantons while underlining the
importance of gaugino condensation.
|
[
{
"created": "Fri, 3 Feb 2006 18:49:24 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 2006 17:56:48 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2006 15:30:16 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Anguelova",
"Lilia",
""
],
[
"Zoubos",
"Konstantinos",
""
]
] |
We derive the most general flux-induced superpotential for N=1 M-theory compactifications on seven-dimensional manifolds with SU(3) structure. Imposing the appropriate boundary conditions, this result applies for heterotic M-theory. It is crucial for the latter to consider SU(3) and not G_2 group structure on the seven-dimensional internal space. For a particular background that differs from CY(3) x S^1/Z_2 only by warp factors, we investigate the flux-generated scalar potential as a function of the orbifold length. We find a positive cosmological constant minimum, however at an undesirably large value of this length. Hence the flux superpotential alone is not enough to stabilize the orbifold length at a de Sitter vacuum. But it does modify substantially the interplay between the previously studied non-perturbative effects, possibly reducing the significance of open membrane instantons while underlining the importance of gaugino condensation.
|
2104.01786
|
Kirill Krasnov
|
Kirill Krasnov
|
Spin(11,3), particles and octonions
|
27 pages, 2 tables
| null |
10.1063/5.0070058
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The fermionic fields of one generation of the Standard Model, including the
Lorentz spinor degrees of freedom, can be identified with components of a
single real 64-dimensional semi-spinor representation S of the group
Spin(11,3). We describe an octonionic model for Spin(11,3) in which the
semi-spinor representation gets identified with S=OxO', where O,O' are the
usual and split octonions respectively. It is then well-known that choosing a
unit imaginary octonion u in Im(O) equips O with a complex structure J.
Similarly, choosing a unit imaginary split octonion u' in Im(O') equips O' with
a complex structure J', except that there are now two inequivalent complex
structures, one parametrised by a choice of a timelike and the other of a
spacelike unit u'. In either case, the identification S=OxO' implies that there
are two natural commuting complex structures J, J' on S. Our main new
observation is that the subgroup of Spin(11,3) that commutes with both J, J' on
S is the direct product Spin(6) x Spin(4) x Spin(1,3) of the Pati-Salam and
Lorentz groups, when u' is chosen to be timelike. The splitting of S into
eigenspaces of J corresponds to splitting into particles and anti-particles.
The splitting of S into eigenspaces of J' corresponds to splitting of Lorentz
Dirac spinors into two different chiralities. We also study the simplest
possible symmetry breaking scenario with the "Higgs" field taking values in the
representation that corresponds to 3-forms in R^{11,3}. We show that this Higgs
can be designed to transform as the bi-doublet of the left/right symmetric
extension of the SM, and thus breaks Spin(11,3) down to the product of the SM,
Lorentz and U(1)_{B-L} groups, with the last one remaining unbroken. This
3-form Higgs field also produces the Dirac mass terms for all the particles.
|
[
{
"created": "Mon, 5 Apr 2021 06:22:51 GMT",
"version": "v1"
}
] |
2022-03-23
|
[
[
"Krasnov",
"Kirill",
""
]
] |
The fermionic fields of one generation of the Standard Model, including the Lorentz spinor degrees of freedom, can be identified with components of a single real 64-dimensional semi-spinor representation S of the group Spin(11,3). We describe an octonionic model for Spin(11,3) in which the semi-spinor representation gets identified with S=OxO', where O,O' are the usual and split octonions respectively. It is then well-known that choosing a unit imaginary octonion u in Im(O) equips O with a complex structure J. Similarly, choosing a unit imaginary split octonion u' in Im(O') equips O' with a complex structure J', except that there are now two inequivalent complex structures, one parametrised by a choice of a timelike and the other of a spacelike unit u'. In either case, the identification S=OxO' implies that there are two natural commuting complex structures J, J' on S. Our main new observation is that the subgroup of Spin(11,3) that commutes with both J, J' on S is the direct product Spin(6) x Spin(4) x Spin(1,3) of the Pati-Salam and Lorentz groups, when u' is chosen to be timelike. The splitting of S into eigenspaces of J corresponds to splitting into particles and anti-particles. The splitting of S into eigenspaces of J' corresponds to splitting of Lorentz Dirac spinors into two different chiralities. We also study the simplest possible symmetry breaking scenario with the "Higgs" field taking values in the representation that corresponds to 3-forms in R^{11,3}. We show that this Higgs can be designed to transform as the bi-doublet of the left/right symmetric extension of the SM, and thus breaks Spin(11,3) down to the product of the SM, Lorentz and U(1)_{B-L} groups, with the last one remaining unbroken. This 3-form Higgs field also produces the Dirac mass terms for all the particles.
|
hep-th/9404031
| null |
A. Smilga and J. Verbaarschot
|
Spectral sum rules and finite volume partition function in gauge
theories with real and pseudoreal fermions
|
22p., SUNY-NTG-94/18, TPI-MINN-94/10-T
|
Phys.Rev.D51:829-837,1995
|
10.1103/PhysRevD.51.829
| null |
hep-th hep-ph
| null |
Based on the chiral symmetry breaking pattern and the corresponding
low-energy effective lagrangian, we determine the fermion mass dependence of
the partition function and derive sum rules for eigenvalues of the QCD Dirac
operator in finite Euclidean volume. Results are given for $N_c = 2$ and for
Yang-Mills theory coupled to several light adjoint Majorana fermions. They
coincide with those derived earlier in the framework of random matrix theory.
|
[
{
"created": "Wed, 6 Apr 1994 12:43:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Smilga",
"A.",
""
],
[
"Verbaarschot",
"J.",
""
]
] |
Based on the chiral symmetry breaking pattern and the corresponding low-energy effective lagrangian, we determine the fermion mass dependence of the partition function and derive sum rules for eigenvalues of the QCD Dirac operator in finite Euclidean volume. Results are given for $N_c = 2$ and for Yang-Mills theory coupled to several light adjoint Majorana fermions. They coincide with those derived earlier in the framework of random matrix theory.
|
0809.1199
|
Natalia Kiriushcheva
|
A.M. Frolov
|
Three-photon annihilation of the electron-positron pairs
|
10 pages
|
Phys.Lett.A372:6396-6399,2008
|
10.1016/j.physleta.2008.07.083
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Three-photon annihilation of the electron-positron pairs (= $(e^{-},
e^{+})-$pairs) is considered in the electron rest frame. The energy of the
incident positron can be arbitrary. The analytical expression for the
cross-section of three-photon annihilation of the $(e^{-},e^{+})-$pair has been
derived and investigated.
|
[
{
"created": "Sun, 7 Sep 2008 00:39:40 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2009 20:58:59 GMT",
"version": "v2"
}
] |
2009-05-08
|
[
[
"Frolov",
"A. M.",
""
]
] |
Three-photon annihilation of the electron-positron pairs (= $(e^{-}, e^{+})-$pairs) is considered in the electron rest frame. The energy of the incident positron can be arbitrary. The analytical expression for the cross-section of three-photon annihilation of the $(e^{-},e^{+})-$pair has been derived and investigated.
|
1506.06217
|
Michele Maggiore
|
Michele Maggiore
|
Dark energy and dimensional transmutation in $R^2$ gravity
|
34 pages; v3: significant conceptual improvements
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent work has shown that non-local modifications of gravity involving terms
such as $m^2R\Box^{-2}R$ (and no cosmological constant) provide a
phenomenologically viable alternative to $\Lambda$CDM. We first discuss the
possibility that such non-local terms emerge in the far infrared from the
running of a coupling constant associated to the $R^2$ term in
higher-derivative gravity, which, depending on the UV completion of the theory,
can be asymptotically free in the ultraviolet and strongly coupled in the
infrared. In this scenario the mass scale $m$ of the non-local model emerges
from dimensional transmutation, similarly to $\Lambda_{\rm QCD}$ for strong
interactions, leading to a technically natural value and to a novel
understanding of the scale associated to dark energy. Motivated by these
findings, we then explore the possibility of generating strong infrared effects
in Einstein gravity, with no $R^2$ terms, as a consequence of the
higher-derivative term generated by the conformal anomaly.
|
[
{
"created": "Sat, 20 Jun 2015 09:30:47 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jul 2015 12:38:10 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Sep 2015 15:22:05 GMT",
"version": "v3"
}
] |
2015-09-25
|
[
[
"Maggiore",
"Michele",
""
]
] |
Recent work has shown that non-local modifications of gravity involving terms such as $m^2R\Box^{-2}R$ (and no cosmological constant) provide a phenomenologically viable alternative to $\Lambda$CDM. We first discuss the possibility that such non-local terms emerge in the far infrared from the running of a coupling constant associated to the $R^2$ term in higher-derivative gravity, which, depending on the UV completion of the theory, can be asymptotically free in the ultraviolet and strongly coupled in the infrared. In this scenario the mass scale $m$ of the non-local model emerges from dimensional transmutation, similarly to $\Lambda_{\rm QCD}$ for strong interactions, leading to a technically natural value and to a novel understanding of the scale associated to dark energy. Motivated by these findings, we then explore the possibility of generating strong infrared effects in Einstein gravity, with no $R^2$ terms, as a consequence of the higher-derivative term generated by the conformal anomaly.
|
1504.05777
|
Abdelmalek Boumali Dr
|
Nadjette. Messai and Abdelmalek. Boumali
|
Exact solutions of a two-dimensional Kemmer oscillator in the
gravitational field of cosmic string
|
any comments are welcome
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The two dimensional Kemmer oscillator under the influence of the
gravitational field produced by a topology such as the cosmic string spacetime
and in the presence of a uniform magnetic field as well as without magnetic
field are investigated.
|
[
{
"created": "Tue, 21 Apr 2015 17:33:17 GMT",
"version": "v1"
}
] |
2015-04-23
|
[
[
"Messai",
"Nadjette.",
""
],
[
"Boumali",
"Abdelmalek.",
""
]
] |
The two dimensional Kemmer oscillator under the influence of the gravitational field produced by a topology such as the cosmic string spacetime and in the presence of a uniform magnetic field as well as without magnetic field are investigated.
|
0801.4793
|
Francesco Nitti
|
F. Nitti
|
Holography and Emergent 4D Gravity
|
14 pages, 1 figure. Invited review for Modern Physics Letters A.
Journal version; minor typos corrected
|
Mod.Phys.Lett.A23:289-303,2008
|
10.1142/S021773230802642X
| null |
hep-th hep-ph
| null |
I review recent work toward constructing, via five-dimensional holographic
duals, four-dimensional theories in which spin-2 states (gravitons) are
emergent. The basic idea is to extend to gravity model-building the
applications of holographic duality to phenomenology construction.
|
[
{
"created": "Thu, 31 Jan 2008 01:11:45 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 11:30:12 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Nitti",
"F.",
""
]
] |
I review recent work toward constructing, via five-dimensional holographic duals, four-dimensional theories in which spin-2 states (gravitons) are emergent. The basic idea is to extend to gravity model-building the applications of holographic duality to phenomenology construction.
|
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