id
stringlengths 9
14
| submitter
stringlengths 1
50
⌀ | authors
stringlengths 5
666
| title
stringlengths 5
242
| comments
stringlengths 1
609
⌀ | journal-ref
stringlengths 9
243
⌀ | doi
stringlengths 12
113
⌀ | report-no
stringlengths 2
204
⌀ | categories
stringlengths 6
112
| license
stringclasses 9
values | orig_abstract
stringlengths 21
2.11k
| versions
listlengths 1
26
| update_date
stringlengths 10
10
| authors_parsed
listlengths 1
38
| abstract
stringlengths 18
2.11k
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9803072
|
Dieter Luest
|
Dieter Lust
|
String Vacua with N=2 Supersymmetry in Four Dimensions
|
50 pages; review based on talks at SUSY '97 in Philadelphia,
Symposium Ahrenshoop 1997 in Buckow and TMR-meeting 1997 in Neuchatel; one
reference added in replaced version
| null |
10.1016/S0920-5632(97)00679-8
|
HUB-EP-98/18
|
hep-th
| null |
In this article we review four-dimensional string vacua with N=2 space-time
supersymmetry. In particular, we will discuss several aspects of the
string-string duality between the heterotic string, compactified on $K3\times
T^2$, and the type II superstring compactified on a Calabi-Yau three-fold. We
investigate the massless supersymmetric spectra, showing agreement for a large
class of dual heterotic/type II string pairs. Some emphasis is given to
non-perturbative heterotic phenomena, such as non-perturbative transitions
among different vacua and strong coupling singularities, and to their geometric
Calabi-Yau description on the type II side. We compare the effective N=2
supergravity actions of dual heterotic/type II string compactifications, and
show that the N=2 prepotentials and also higher order gravitational couplings
nicely agree in the weak heterotic coupling limit. Finally we consider extremal
black hole solutions of N=2 supergravity which arise in the context of
heterotic or type II N=2 compactifications. For the type II backgrounds we show
how the entropies of these black holes depend on the topological data of the
underlying Calabi-Yau spaces; we also construct massless black holes which are
relevant for the conifold transition among different Calabi-Yau vacua.
|
[
{
"created": "Mon, 9 Mar 1998 17:01:54 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 1998 10:15:20 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Lust",
"Dieter",
""
]
] |
In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the type II superstring compactified on a Calabi-Yau three-fold. We investigate the massless supersymmetric spectra, showing agreement for a large class of dual heterotic/type II string pairs. Some emphasis is given to non-perturbative heterotic phenomena, such as non-perturbative transitions among different vacua and strong coupling singularities, and to their geometric Calabi-Yau description on the type II side. We compare the effective N=2 supergravity actions of dual heterotic/type II string compactifications, and show that the N=2 prepotentials and also higher order gravitational couplings nicely agree in the weak heterotic coupling limit. Finally we consider extremal black hole solutions of N=2 supergravity which arise in the context of heterotic or type II N=2 compactifications. For the type II backgrounds we show how the entropies of these black holes depend on the topological data of the underlying Calabi-Yau spaces; we also construct massless black holes which are relevant for the conifold transition among different Calabi-Yau vacua.
|
2111.13033
|
Harvendra Singh
|
Harvendra Singh
|
The information horizon entropy for quantum dot and a symmetrical bath
|
13 pages, 4 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the entropy of quantum-dot system in contact with a symmetrical CFT
bath living on the boundary of pure AdS3 black hole. The q-dot is localized at
the centre of bath system of finite size. We first determine the exact location
of the `information horizon' for q-dot and then obtain corresponding
generalised entropy of q-dot plus bath system. It is done by finding codim-2
time extremal curve whose end point uniquely determines the information horizon
of localised q-dot system. By including the (bulk) entropy contribution of the
information horizon the Page curve for the radiation follows. These results can
be easily generalized to higher dimensional cases as well.
|
[
{
"created": "Thu, 25 Nov 2021 11:32:13 GMT",
"version": "v1"
}
] |
2021-11-29
|
[
[
"Singh",
"Harvendra",
""
]
] |
We study the entropy of quantum-dot system in contact with a symmetrical CFT bath living on the boundary of pure AdS3 black hole. The q-dot is localized at the centre of bath system of finite size. We first determine the exact location of the `information horizon' for q-dot and then obtain corresponding generalised entropy of q-dot plus bath system. It is done by finding codim-2 time extremal curve whose end point uniquely determines the information horizon of localised q-dot system. By including the (bulk) entropy contribution of the information horizon the Page curve for the radiation follows. These results can be easily generalized to higher dimensional cases as well.
|
hep-th/0002256
|
Mariano Cadoni
|
Mariano Cadoni, Salvatore Mignemi
|
Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence
|
version 3, some points have been clarified
|
Phys.Lett. B490 (2000) 131-135
|
10.1016/S0370-2693(00)00982-5
|
INFNCA-TH0004
|
hep-th gr-qc
| null |
When two-dimensional Anti-de Sitter space (AdS_2) is endowed with a
non-constant dilaton the origin of the central charge in the Virasoro algebra
generating the asymptotic symmetries of AdS_2 can be traced back to the
breaking of the SL(2,R) isometry group of AdS_2. We use this fact to clarify
some controversial results appeared in the literature about the value of the
central charge in these models.
|
[
{
"created": "Tue, 29 Feb 2000 17:20:49 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2000 11:53:07 GMT",
"version": "v2"
},
{
"created": "Thu, 11 May 2000 13:57:53 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Cadoni",
"Mariano",
""
],
[
"Mignemi",
"Salvatore",
""
]
] |
When two-dimensional Anti-de Sitter space (AdS_2) is endowed with a non-constant dilaton the origin of the central charge in the Virasoro algebra generating the asymptotic symmetries of AdS_2 can be traced back to the breaking of the SL(2,R) isometry group of AdS_2. We use this fact to clarify some controversial results appeared in the literature about the value of the central charge in these models.
|
2006.06607
|
Jose Barbon
|
J.L.F. Barbon, J. Martin-Garcia and M. Sasieta
|
Proof of a Momentum/Complexity Correspondence
|
10 pages, 2 figures. Published version
|
Phys. Rev. D 102, 101901 (2020)
|
10.1103/PhysRevD.102.101901
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the holographic Complexity = Volume proposal satisfies a very
general notion of Momentum/Complexity correspondence (PC), based on the
Momentum Constraint of General Relativity. It relates the rate of complexity
variation with an appropriate matter momentum flux through spacelike extremal
surfaces. This formalizes the intuitive idea that `gravitational clumpling' of
matter increases complexity, and the required notion of `infall momentum' is
shown to have a Newtonian avatar which expresses this idea. The proposed form
of the PC correspondence is found to be exact for any solution of Einstein's
equations in 2+1 dimensions, and any spherically symmetric solution in
arbitrary dimensions, generalizing all previous calculations using spherical
thin shells. Gravitational radiation enters through a correction which does not
have a straightforward interpretation as a PC correspondence. Other
obstructions to an exact PC duality have a topological origin and arise in the
presence of wormholes.
|
[
{
"created": "Thu, 11 Jun 2020 16:56:21 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Dec 2020 18:42:22 GMT",
"version": "v2"
}
] |
2020-12-07
|
[
[
"Barbon",
"J. L. F.",
""
],
[
"Martin-Garcia",
"J.",
""
],
[
"Sasieta",
"M.",
""
]
] |
We show that the holographic Complexity = Volume proposal satisfies a very general notion of Momentum/Complexity correspondence (PC), based on the Momentum Constraint of General Relativity. It relates the rate of complexity variation with an appropriate matter momentum flux through spacelike extremal surfaces. This formalizes the intuitive idea that `gravitational clumpling' of matter increases complexity, and the required notion of `infall momentum' is shown to have a Newtonian avatar which expresses this idea. The proposed form of the PC correspondence is found to be exact for any solution of Einstein's equations in 2+1 dimensions, and any spherically symmetric solution in arbitrary dimensions, generalizing all previous calculations using spherical thin shells. Gravitational radiation enters through a correction which does not have a straightforward interpretation as a PC correspondence. Other obstructions to an exact PC duality have a topological origin and arise in the presence of wormholes.
|
2408.04282
|
Suat Dengiz
|
Suat Dengiz
|
Weyl-Einsteinian-Cubic Gravity
|
37 pages, dedicated to Roman Jackiw's first death anniversary
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a Weyl-gauging of strongly coupled Einsteinian-Cubic gravity
(ECG) in Weyl's geometry via upgraded Weyl's curvature tensors, which include
abelian gauge fields, and properly tuned compensating real scalar fields. The
model is free from any dimensionful parameters. The bare ECG emerges as the
lower energy limit of the Weyl-ECG in the local non-conformal-invariant vacua
(i.e., broken phase) in the maximally symmetric spacetimes fixing the vacuum
expectation value of the scalar field to the Planck mass scale. Here, the
natural presence of (anti-) de Sitter backgrounds spontaneously breaks Weyl's
local conformal symmetry akin to the Higgs mechanism, while it is radiatively
broken at the renormalization scale at the one-loop level in flat vacua through
the Coleman-Weinberg mechanism. The model allows anti-de Sitter and flat spaces
but does not allow de Sitter to be vacuum spacetime solutions. The properties
of the model deserve further exploration, specifically, those of
nonperturbative (e.g., instantons and/or anti-instantons) contributions, for
example, in the resurgence or tachyon condensation context requires detailed
study.
|
[
{
"created": "Thu, 8 Aug 2024 07:39:35 GMT",
"version": "v1"
}
] |
2024-08-09
|
[
[
"Dengiz",
"Suat",
""
]
] |
We construct a Weyl-gauging of strongly coupled Einsteinian-Cubic gravity (ECG) in Weyl's geometry via upgraded Weyl's curvature tensors, which include abelian gauge fields, and properly tuned compensating real scalar fields. The model is free from any dimensionful parameters. The bare ECG emerges as the lower energy limit of the Weyl-ECG in the local non-conformal-invariant vacua (i.e., broken phase) in the maximally symmetric spacetimes fixing the vacuum expectation value of the scalar field to the Planck mass scale. Here, the natural presence of (anti-) de Sitter backgrounds spontaneously breaks Weyl's local conformal symmetry akin to the Higgs mechanism, while it is radiatively broken at the renormalization scale at the one-loop level in flat vacua through the Coleman-Weinberg mechanism. The model allows anti-de Sitter and flat spaces but does not allow de Sitter to be vacuum spacetime solutions. The properties of the model deserve further exploration, specifically, those of nonperturbative (e.g., instantons and/or anti-instantons) contributions, for example, in the resurgence or tachyon condensation context requires detailed study.
|
1205.1515
|
Piotr Sulkowski
|
Hiroyuki Fuji, Sergei Gukov, Piotr Su{\l}kowski
|
Super-A-polynomial for knots and BPS states
|
47 pages, 8 figures; typos and references fixed
|
Nucl. Phys. B867 (2013) 506
|
10.1016/j.nuclphysb.2012.10.005
|
CALT-68-2870
|
hep-th math.AG math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce and compute a 2-parameter family deformation of the A-polynomial
that encodes the color dependence of the superpolynomial and that, in suitable
limits, reduces to various deformations of the A-polynomial studied in the
literature. These special limits include the t-deformation which leads to the
"refined A-polynomial" introduced in the previous work of the authors and the
Q-deformation which leads, by the conjecture of Aganagic and Vafa, to the
augmentation polynomial of knot contact homology. We also introduce and compute
the quantum version of the super-A-polynomial, an operator that encodes
recursion relations for S^r-colored HOMFLY homology. Much like its predecessor,
the super-A-polynomial admits a simple physical interpretation as the defining
equation for the space of SUSY vacua (= critical points of the twisted
superpotential) in a circle compactification of the effective 3d N=2 theory
associated to a knot or, more generally, to a 3-manifold M. Equivalently, the
algebraic curve defined by the zero locus of the super-A-polynomial can be
thought of as the space of open string moduli in a brane system associated with
M. As an inherent outcome of this work, we provide new interesting formulas for
colored superpolynomials for the trefoil and the figure-eight knot.
|
[
{
"created": "Mon, 7 May 2012 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2012 21:40:32 GMT",
"version": "v2"
}
] |
2017-05-23
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We introduce and compute a 2-parameter family deformation of the A-polynomial that encodes the color dependence of the superpolynomial and that, in suitable limits, reduces to various deformations of the A-polynomial studied in the literature. These special limits include the t-deformation which leads to the "refined A-polynomial" introduced in the previous work of the authors and the Q-deformation which leads, by the conjecture of Aganagic and Vafa, to the augmentation polynomial of knot contact homology. We also introduce and compute the quantum version of the super-A-polynomial, an operator that encodes recursion relations for S^r-colored HOMFLY homology. Much like its predecessor, the super-A-polynomial admits a simple physical interpretation as the defining equation for the space of SUSY vacua (= critical points of the twisted superpotential) in a circle compactification of the effective 3d N=2 theory associated to a knot or, more generally, to a 3-manifold M. Equivalently, the algebraic curve defined by the zero locus of the super-A-polynomial can be thought of as the space of open string moduli in a brane system associated with M. As an inherent outcome of this work, we provide new interesting formulas for colored superpolynomials for the trefoil and the figure-eight knot.
|
1502.03275
|
Davide Bianchini
|
Davide Bianchini, Olalla A. Castro-Alvaredo and Benjamin Doyon
|
Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
|
48 pages, 15 figures. Minor typos corrected
|
Nucl.Phys. B896 (2015) 835-880
|
10.1016/j.nuclphysb.2015.05.013
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the simplest massive 1+1 dimensional integrable
quantum field theory which can be described as a perturbation of a non-unitary
minimal conformal field theory: the Lee-Yang model. We are particularly
interested in the features of the bi-partite entanglement entropy for this
model and on building blocks thereof, namely twist field form factors.
Non-unitarity selects out a new type of twist field as the operator whose
two-point function (appropriately normalized) yields the entanglement entropy.
We compute this two-point function both from a form factor expansion and by
means of perturbed conformal field theory. We find good agreement with CFT
predictions put forward in a recent work involving the present authors. In
particular, our results are consistent with a scaling of the entanglement
entropy given by $\frac{c_{\text{eff}}}{3}\log \ell$ where $c_{\text{eff}}$ is
the effective central charge of the theory (a positive number related to the
central charge) and $\ell$ is the size of the region. Furthermore the form
factor expansion of twist fields allows us to explore the large region limit of
the entanglement entropy and find the next-to-leading order correction to
saturation. We find that this correction is very different from its counterpart
in unitary models. Whereas in the latter case, it had a form depending only on
few parameters of the model (the particle spectrum), it appears to be much more
model-dependent for non-unitary models.
|
[
{
"created": "Wed, 11 Feb 2015 12:02:31 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2015 19:29:40 GMT",
"version": "v2"
}
] |
2015-09-07
|
[
[
"Bianchini",
"Davide",
""
],
[
"Castro-Alvaredo",
"Olalla A.",
""
],
[
"Doyon",
"Benjamin",
""
]
] |
In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the features of the bi-partite entanglement entropy for this model and on building blocks thereof, namely twist field form factors. Non-unitarity selects out a new type of twist field as the operator whose two-point function (appropriately normalized) yields the entanglement entropy. We compute this two-point function both from a form factor expansion and by means of perturbed conformal field theory. We find good agreement with CFT predictions put forward in a recent work involving the present authors. In particular, our results are consistent with a scaling of the entanglement entropy given by $\frac{c_{\text{eff}}}{3}\log \ell$ where $c_{\text{eff}}$ is the effective central charge of the theory (a positive number related to the central charge) and $\ell$ is the size of the region. Furthermore the form factor expansion of twist fields allows us to explore the large region limit of the entanglement entropy and find the next-to-leading order correction to saturation. We find that this correction is very different from its counterpart in unitary models. Whereas in the latter case, it had a form depending only on few parameters of the model (the particle spectrum), it appears to be much more model-dependent for non-unitary models.
|
1806.11458
|
Alberto Alonso-Izquierdo Dr
|
A. Alonso-Izquierdo, A.J. Balseyro Sebastian, M.A. Gonzalez Leon
|
Domain walls in a non-linear $\mathbb{S}^2$-sigma model with homogeneous
quartic polynomial potential
|
23 pages, 5 figures
|
JHEP 11 (2018) 023
|
10.1007/JHEP11(2018)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the domain wall solutions of a Ginzburg-Landau non-linear
$\mathbb{S}^2$-sigma hybrid model are exactly calculated. There exist two types
of basic domain walls and two families of composite domain walls. The domain
wall solutions have been identified by using a Bogomolny arrangement in a
system of sphero-conical coordinates on the sphere $\mathbb{S}^2$. The
stability of all the domain walls is also investigated.
|
[
{
"created": "Fri, 29 Jun 2018 15:00:52 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2018 10:54:53 GMT",
"version": "v2"
}
] |
2018-12-06
|
[
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Sebastian",
"A. J. Balseyro",
""
],
[
"Leon",
"M. A. Gonzalez",
""
]
] |
In this paper the domain wall solutions of a Ginzburg-Landau non-linear $\mathbb{S}^2$-sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions have been identified by using a Bogomolny arrangement in a system of sphero-conical coordinates on the sphere $\mathbb{S}^2$. The stability of all the domain walls is also investigated.
|
1605.04175
|
Ferdinando Gliozzi
|
Ferdinando Gliozzi
|
Truncatable bootstrap equations in algebraic form and critical surface
exponents
|
17 pages, 2 figures. v2: typos corrected, references added,
acknowledgements updated
| null |
10.1007/JHEP10(2016)037
| null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe examples of drastic truncations of conformal bootstrap equations
encoding much more information than that obtained by a direct numerical
approach. A three-term truncation of the four point function of a free scalar
in any space dimensions provides algebraic identities among conformal block
derivatives which generate the exact spectrum of the infinitely many primary
operators contributing to it. In boundary conformal field theories, we point
out that the appearance of free parameters in the solutions of bootstrap
equations is not an artifact of truncations, rather it reflects a physical
property of permeable conformal interfaces which are described by the same
equations. Surface transitions correspond to isolated points in the parameter
space. We are able to locate them in the case of 3d Ising model, thanks to a
useful algebraic form of 3d boundary bootstrap equations. It turns out that the
low-lying spectra of the surface operators in the ordinary and the special
transitions of 3d Ising model form two different solutions of the same
polynomial equation. Their interplay yields an estimate of the surface
renormalization group exponent, $y_{h}=0.72558(18)$ for the ordinary
universality class and $y_{h}=1.646(2)$ for the special universality class,
which compare well with the most recent Monte Carlo calculations. Estimates of
other surface exponents as well as OPE coefficients are also obtained.
|
[
{
"created": "Fri, 13 May 2016 13:38:52 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jun 2016 21:23:38 GMT",
"version": "v2"
}
] |
2016-11-23
|
[
[
"Gliozzi",
"Ferdinando",
""
]
] |
We describe examples of drastic truncations of conformal bootstrap equations encoding much more information than that obtained by a direct numerical approach. A three-term truncation of the four point function of a free scalar in any space dimensions provides algebraic identities among conformal block derivatives which generate the exact spectrum of the infinitely many primary operators contributing to it. In boundary conformal field theories, we point out that the appearance of free parameters in the solutions of bootstrap equations is not an artifact of truncations, rather it reflects a physical property of permeable conformal interfaces which are described by the same equations. Surface transitions correspond to isolated points in the parameter space. We are able to locate them in the case of 3d Ising model, thanks to a useful algebraic form of 3d boundary bootstrap equations. It turns out that the low-lying spectra of the surface operators in the ordinary and the special transitions of 3d Ising model form two different solutions of the same polynomial equation. Their interplay yields an estimate of the surface renormalization group exponent, $y_{h}=0.72558(18)$ for the ordinary universality class and $y_{h}=1.646(2)$ for the special universality class, which compare well with the most recent Monte Carlo calculations. Estimates of other surface exponents as well as OPE coefficients are also obtained.
|
1312.7743
|
Chrysostomos Kalousios
|
Chrysostomos Kalousios
|
Massless scattering at special kinematics as Jacobi polynomials
|
9 pages; v2: clarifications and references added, published version;
v3: a factor of (n-3)! in equation 11 and in the final expression of the
gluon amplitude was corrected
| null |
10.1088/1751-8113/47/21/215402
|
ICTP-SAIFR/2013-015
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the scattering equations recently proposed by Cachazo, He and Yuan
in the special kinematics where their solutions can be identified with the
zeros of the Jacobi polynomials. This allows for a non-trivial two parameter
family of kinematics. We present explicit and compact formulae for the n-gluon
and n-graviton partial scattering amplitudes for our special kinematics in
terms of Jacobi polynomials. We also provide alternative expressions in terms
of gamma functions. We give an interpretation of the common reduced determinant
appearing in the amplitudes as the product of the squares of the
eigenfrequencies of small oscillations of a system whose equilibrium is the
solutions of the scattering equations.
|
[
{
"created": "Mon, 30 Dec 2013 15:37:29 GMT",
"version": "v1"
},
{
"created": "Fri, 2 May 2014 00:25:34 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Dec 2014 19:31:52 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Kalousios",
"Chrysostomos",
""
]
] |
We study the scattering equations recently proposed by Cachazo, He and Yuan in the special kinematics where their solutions can be identified with the zeros of the Jacobi polynomials. This allows for a non-trivial two parameter family of kinematics. We present explicit and compact formulae for the n-gluon and n-graviton partial scattering amplitudes for our special kinematics in terms of Jacobi polynomials. We also provide alternative expressions in terms of gamma functions. We give an interpretation of the common reduced determinant appearing in the amplitudes as the product of the squares of the eigenfrequencies of small oscillations of a system whose equilibrium is the solutions of the scattering equations.
|
1008.2049
|
Sigma
|
Athanasios Chatzistavrakidis and George Zoupanos
|
Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
| null |
SIGMA 6: 063,2010
|
10.3842/SIGMA.2010.063
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Theories defined in higher than four dimensions have been used in various
frameworks and have a long and interesting history. Here we review certain
attempts, developed over the last years, towards the construction of unified
particle physics models in the context of higher-dimensional gauge theories
with non-commutative extra dimensions. These ideas have been developed in two
complementary ways, namely (i) starting with a higher-dimensional gauge theory
and dimensionally reducing it to four dimensions over fuzzy internal spaces and
(ii) starting with a four-dimensional, renormalizable gauge theory and
dynamically generating fuzzy extra dimensions. We describe the above approaches
and moreover we discuss the inclusion of fermions and the construction of
realistic chiral theories in this context.
|
[
{
"created": "Thu, 12 Aug 2010 05:36:13 GMT",
"version": "v1"
}
] |
2011-11-10
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Zoupanos",
"George",
""
]
] |
Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of unified particle physics models in the context of higher-dimensional gauge theories with non-commutative extra dimensions. These ideas have been developed in two complementary ways, namely (i) starting with a higher-dimensional gauge theory and dimensionally reducing it to four dimensions over fuzzy internal spaces and (ii) starting with a four-dimensional, renormalizable gauge theory and dynamically generating fuzzy extra dimensions. We describe the above approaches and moreover we discuss the inclusion of fermions and the construction of realistic chiral theories in this context.
|
hep-th/9406188
|
Laynam
|
Lay Nam Chang and Chopin Soo
|
The Standard Model with gravity couplings
|
Extended, and replaced with LaTex file. 25 Pages
|
Phys.Rev.D53:5682-5691,1996
|
10.1103/PhysRevD.53.5682
|
VPI-IHEP-94-5, CGPG-94/6-2
|
hep-th gr-qc hep-ph
| null |
In this paper, we examine the coupling of matter fields to gravity within the
framework of the Standard Model of particle physics. The coupling is described
in terms of Weyl fermions of a definite chirality, and employs only
(anti)self-dual or left-handed spin connection fields. It is known from the
work of Ashtekar and others that such fields can furnish a complete description
of gravity without matter. We show that conditions ensuring the cancellation of
perturbative chiral gauge anomalies are not disturbed. We also explore a global
anomaly associated with the theory, and argue that its removal requires that
the number of fundamental fermions in the theory must be multiples of 16. In
addition, we investigate the behavior of the theory under discrete
transformations P, C and T; and discuss possible violations of these discrete
symmetries, including CPT, in the presence of instantons and the
Adler-Bell-Jackiw anomaly.
|
[
{
"created": "Tue, 28 Jun 1994 21:08:00 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 1995 00:24:48 GMT",
"version": "v2"
}
] |
2011-09-09
|
[
[
"Chang",
"Lay Nam",
""
],
[
"Soo",
"Chopin",
""
]
] |
In this paper, we examine the coupling of matter fields to gravity within the framework of the Standard Model of particle physics. The coupling is described in terms of Weyl fermions of a definite chirality, and employs only (anti)self-dual or left-handed spin connection fields. It is known from the work of Ashtekar and others that such fields can furnish a complete description of gravity without matter. We show that conditions ensuring the cancellation of perturbative chiral gauge anomalies are not disturbed. We also explore a global anomaly associated with the theory, and argue that its removal requires that the number of fundamental fermions in the theory must be multiples of 16. In addition, we investigate the behavior of the theory under discrete transformations P, C and T; and discuss possible violations of these discrete symmetries, including CPT, in the presence of instantons and the Adler-Bell-Jackiw anomaly.
|
1910.10107
|
Jie Jiang
|
Zhaohui Chen and Jie Jiang
|
General Smarr relation and first law of Nutty dyonic black hole
|
9 pages and 1 figures. This paper has been accepted by PRD
|
Phys. Rev. D 100, 104016 (2019)
|
10.1103/PhysRevD.100.104016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we investigate the thermodynamics of the charged NUT black
hole with the Misner strings present in the Einstein-Maxwell gravity. We show
that the Misner charge $N$ can be obtained by performing Komar integration over
the Misner strings in the presence of electric and magnetic charges and the
corresponding Smarr relation and first law can also be naturally established
based on this geometric perspective. Besides, we demonstrate that the electric
and magnetic charges appearing in the first law and Smarr relation are
contingent on the special choice of gauge freedom for the electric and magnetic
potentials. We re-derive two different versions of thermodynamics according to
distinct choices of gauge and furthermore, we try to formulate more general
thermodynamic laws under other arbitrary choices of gauge and deduce the
conditions necessary to satisfy the Smarr relations and first laws
simultaneously.
|
[
{
"created": "Tue, 22 Oct 2019 16:49:48 GMT",
"version": "v1"
}
] |
2019-11-13
|
[
[
"Chen",
"Zhaohui",
""
],
[
"Jiang",
"Jie",
""
]
] |
In this paper, we investigate the thermodynamics of the charged NUT black hole with the Misner strings present in the Einstein-Maxwell gravity. We show that the Misner charge $N$ can be obtained by performing Komar integration over the Misner strings in the presence of electric and magnetic charges and the corresponding Smarr relation and first law can also be naturally established based on this geometric perspective. Besides, we demonstrate that the electric and magnetic charges appearing in the first law and Smarr relation are contingent on the special choice of gauge freedom for the electric and magnetic potentials. We re-derive two different versions of thermodynamics according to distinct choices of gauge and furthermore, we try to formulate more general thermodynamic laws under other arbitrary choices of gauge and deduce the conditions necessary to satisfy the Smarr relations and first laws simultaneously.
|
hep-th/0004002
|
Benaoum Hachemi
|
H.B. Benaoum (Mainz Uni.)
|
On noncommutative and commutative equivalence for BFYM theory : :
Seiberg-Witten map
|
8 pages, one figure, latex
| null | null |
MZ-TH/00-12
|
hep-th
| null |
BFYM on commutative and noncommutative ${\mathbb{R}}^4$ is considered and a
Seiberg-Witten gauge-equivalent transformation is constructed for these
theories. Then we write the noncommutative action in terms of the ordinary
fields and show that it is equivalent to the ordinary action up to higher
dimensional gauge invariant terms.
|
[
{
"created": "Sat, 1 Apr 2000 08:52:09 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Benaoum",
"H. B.",
"",
"Mainz Uni."
]
] |
BFYM on commutative and noncommutative ${\mathbb{R}}^4$ is considered and a Seiberg-Witten gauge-equivalent transformation is constructed for these theories. Then we write the noncommutative action in terms of the ordinary fields and show that it is equivalent to the ordinary action up to higher dimensional gauge invariant terms.
|
hep-th/0403259
|
Takeshi Morita
|
Takeshi Morita
|
Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa
theory
|
15 pages, 1 figure, the version to appear in Phys. Lett. B
|
Phys.Lett. B632 (2006) 411-416
|
10.1016/j.physletb.2005.10.027
| null |
hep-th
| null |
We consider the field theory on non-commutative superspace and
non-commutative spacetime that arises on D-branes in Type II superstring theory
with a constant self-dual graviphoton and NS-NS $B$ field background. $\N=1$
supersymmetric field theories on this non-commutative space (such theories are
called $\N=1/2$ supersymmetric theories.) can be reduced to supermatrix models
as in hep-th/0303210 \cite{KKM}. We take an appropriate commutative limit in
these theories and show that holomorphic quantities in commutative field
theories are equivalent to reduced models, including non-planar diagrams to
which the graviphoton contributes. This is a new derivation of Dijkgraaf-Vafa
theory including non-planar diagrams.
|
[
{
"created": "Thu, 25 Mar 2004 19:22:32 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 2004 12:11:51 GMT",
"version": "v2"
},
{
"created": "Sat, 8 May 2004 16:10:55 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jun 2004 20:30:54 GMT",
"version": "v4"
},
{
"created": "Sat, 13 Aug 2005 07:27:58 GMT",
"version": "v5"
},
{
"created": "Thu, 27 Oct 2005 07:01:09 GMT",
"version": "v6"
}
] |
2009-11-10
|
[
[
"Morita",
"Takeshi",
""
]
] |
We consider the field theory on non-commutative superspace and non-commutative spacetime that arises on D-branes in Type II superstring theory with a constant self-dual graviphoton and NS-NS $B$ field background. $\N=1$ supersymmetric field theories on this non-commutative space (such theories are called $\N=1/2$ supersymmetric theories.) can be reduced to supermatrix models as in hep-th/0303210 \cite{KKM}. We take an appropriate commutative limit in these theories and show that holomorphic quantities in commutative field theories are equivalent to reduced models, including non-planar diagrams to which the graviphoton contributes. This is a new derivation of Dijkgraaf-Vafa theory including non-planar diagrams.
|
hep-th/0309194
|
Wen-Li Yang
|
Boyu Hou, Ryu Sasaki and Wen-Li Yang
|
Eigenvalues of Ruijsenaars-Schneider models associated with $A_{n-1}$
root system in Bethe ansatz formalism
|
Latex file, 25 pages
|
J.Math.Phys. 45 (2004) 559-575
|
10.1063/1.1635067
|
YITP-03-13
|
hep-th math-ph math.MP nlin.SI
| null |
Ruijsenaars-Schneider models associated with $A_{n-1}$ root system with a
discrete coupling constant are studied. The eigenvalues of the Hamiltonian are
givein in terms of the Bethe ansatz formulas. Taking the "non-relativistic"
limit, we obtain the spectrum of the corresponding Calogero-Moser systems in
the third formulas of Felder et al [20].
|
[
{
"created": "Thu, 18 Sep 2003 23:12:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hou",
"Boyu",
""
],
[
"Sasaki",
"Ryu",
""
],
[
"Yang",
"Wen-Li",
""
]
] |
Ruijsenaars-Schneider models associated with $A_{n-1}$ root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are givein in terms of the Bethe ansatz formulas. Taking the "non-relativistic" limit, we obtain the spectrum of the corresponding Calogero-Moser systems in the third formulas of Felder et al [20].
|
0809.1975
|
Daniel Hook
|
Carl M. Bender, Joshua Feinberg, Daniel W. Hook, and David J. Weir
|
Chaotic systems in complex phase space
|
22 page, 16 figures
|
Pramana 73:453-470,2009
|
10.1007/s12043-009-0099-3
| null |
hep-th cond-mat.dis-nn math-ph math.MP nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper examines numerically the complex classical trajectories of the
kicked rotor and the double pendulum. Both of these systems exhibit a
transition to chaos, and this feature is studied in complex phase space.
Additionally, it is shown that the short-time and long-time behaviors of these
two PT-symmetric dynamical models in complex phase space exhibit strong
qualitative similarities.
|
[
{
"created": "Thu, 11 Sep 2008 12:34:25 GMT",
"version": "v1"
}
] |
2010-11-02
|
[
[
"Bender",
"Carl M.",
""
],
[
"Feinberg",
"Joshua",
""
],
[
"Hook",
"Daniel W.",
""
],
[
"Weir",
"David J.",
""
]
] |
This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is shown that the short-time and long-time behaviors of these two PT-symmetric dynamical models in complex phase space exhibit strong qualitative similarities.
|
2403.18896
|
Tianli Wang
|
Walker Melton, Atul Sharma, Andrew Strominger and Tianli Wang
|
A Celestial Dual for MHV Amplitudes
|
11 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that a 2D CFT consisting of a central charge $c$ Liouville
theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free
fermion holographically generate 4D MHV tree-level scattering amplitudes. The
correlators of this 2D CFT give directly the 4D leaf amplitudes associated to a
single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a
large-$N$ and semiclassical large-$c$ limit, according to the holographic
dictionary, as a translationally-invariant combination of leaf amplitudes. A
step in the demonstration is showing that the semiclassical limit of Liouville
correlators are given by contact AdS$_3$ Witten diagrams.
|
[
{
"created": "Wed, 27 Mar 2024 18:00:02 GMT",
"version": "v1"
}
] |
2024-03-29
|
[
[
"Melton",
"Walker",
""
],
[
"Sharma",
"Atul",
""
],
[
"Strominger",
"Andrew",
""
],
[
"Wang",
"Tianli",
""
]
] |
It is shown that a 2D CFT consisting of a central charge $c$ Liouville theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators of this 2D CFT give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-$N$ and semiclassical large-$c$ limit, according to the holographic dictionary, as a translationally-invariant combination of leaf amplitudes. A step in the demonstration is showing that the semiclassical limit of Liouville correlators are given by contact AdS$_3$ Witten diagrams.
|
1004.4633
|
Vitor Cardoso
|
Helvi Witek, Vitor Cardoso, Carlos Herdeiro, Andrea Nerozzi, Ulrich
Sperhake, Miguel Zilhao
|
Black holes in a box: towards the numerical evolution of black holes in
AdS
|
REvTex4, 17 pages, 12 Figs. v2: Minor improvements. Published
version. Animation of a black hole binary in a box can be found at
http://blackholes.ist.utl.pt/
|
Phys.Rev.D82:104037,2010
|
10.1103/PhysRevD.82.104037
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The evolution of black holes in "confining boxes" is interesting for a number
of reasons, particularly because it mimics the global structure of Anti-de
Sitter geometries. These are non-globally hyperbolic space-times and the Cauchy
problem may only be well defined if the initial data is supplemented by
boundary conditions at the time-like conformal boundary. Here, we explore the
active role that boundary conditions play in the evolution of a bulk black hole
system, by imprisoning a black hole binary in a box with mirror-like boundary
conditions. We are able to follow the post-merger dynamics for up to two
reflections off the boundary of the gravitational radiation produced in the
merger. We estimate that about 15% of the radiation energy is absorbed by the
black hole per interaction, whereas transfer of angular momentum from the
radiation to the black hole is only observed in the first interaction. We
discuss the possible role of superradiant scattering for this result. Unlike
the studies with outgoing boundary conditions, both the Newman-Penrose scalars
\Psi_4 and \Psi_0 are non-trivial in our setup, and we show that the numerical
data verifies the expected relations between them.
|
[
{
"created": "Mon, 26 Apr 2010 20:01:57 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Nov 2010 12:16:34 GMT",
"version": "v2"
}
] |
2010-12-23
|
[
[
"Witek",
"Helvi",
""
],
[
"Cardoso",
"Vitor",
""
],
[
"Herdeiro",
"Carlos",
""
],
[
"Nerozzi",
"Andrea",
""
],
[
"Sperhake",
"Ulrich",
""
],
[
"Zilhao",
"Miguel",
""
]
] |
The evolution of black holes in "confining boxes" is interesting for a number of reasons, particularly because it mimics the global structure of Anti-de Sitter geometries. These are non-globally hyperbolic space-times and the Cauchy problem may only be well defined if the initial data is supplemented by boundary conditions at the time-like conformal boundary. Here, we explore the active role that boundary conditions play in the evolution of a bulk black hole system, by imprisoning a black hole binary in a box with mirror-like boundary conditions. We are able to follow the post-merger dynamics for up to two reflections off the boundary of the gravitational radiation produced in the merger. We estimate that about 15% of the radiation energy is absorbed by the black hole per interaction, whereas transfer of angular momentum from the radiation to the black hole is only observed in the first interaction. We discuss the possible role of superradiant scattering for this result. Unlike the studies with outgoing boundary conditions, both the Newman-Penrose scalars \Psi_4 and \Psi_0 are non-trivial in our setup, and we show that the numerical data verifies the expected relations between them.
|
0912.0377
|
\c{C}a\u{g}lar Do\u{g}an
|
\c{C}a\u{g}lar Do\u{g}an, O. Teoman Turgut
|
Interaction of Relativistic Bosons with Localized Sources on Riemannian
Surfaces
|
29 pages
| null |
10.1063/1.3456122
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the interaction of mutually non-interacting Klein-Gordon particles
with localized sources on stochastically complete Riemannian surfaces. This
asymptotically free theory requires regularization and coupling constant
renormalization. Renormalization is performed non-perturbatively using the
orthofermion algebra technique and the principal operator $\Phi$ is found. The
principal operator is then used to obtain the bound state spectrum, in terms of
binding energies to single Dirac-delta function centers. The heat kernel method
allows us to generalize this procedure to compact and Cartan-Hadamard type
Riemannian manifolds. We make use of upper and lower bounds on the heat kernel
to constrain the ground state energy from below thus confirming that our
neglect of pair creation is justified for certain ranges of parameters in the
problem.
|
[
{
"created": "Wed, 2 Dec 2009 10:13:53 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Doğan",
"Çağlar",
""
],
[
"Turgut",
"O. Teoman",
""
]
] |
We study the interaction of mutually non-interacting Klein-Gordon particles with localized sources on stochastically complete Riemannian surfaces. This asymptotically free theory requires regularization and coupling constant renormalization. Renormalization is performed non-perturbatively using the orthofermion algebra technique and the principal operator $\Phi$ is found. The principal operator is then used to obtain the bound state spectrum, in terms of binding energies to single Dirac-delta function centers. The heat kernel method allows us to generalize this procedure to compact and Cartan-Hadamard type Riemannian manifolds. We make use of upper and lower bounds on the heat kernel to constrain the ground state energy from below thus confirming that our neglect of pair creation is justified for certain ranges of parameters in the problem.
|
0905.4214
|
David Dudal
|
D. Dudal
|
A potential setup for perturbative confinement
|
11 pages. To appear in Physics Letters B
|
Phys.Lett.B677:203-209,2009
|
10.1016/j.physletb.2009.05.035
|
MIT-CTP 4043
|
hep-th
|
http://creativecommons.org/licenses/by/3.0/
|
A few years ago, 't Hooft suggested a way to discuss confinement in a
perturbative fashion. The original idea was put forward in the Coulomb gauge at
tree level. In recent years, the concept of a nonperturbative short distance
linear potential also attracted phenomenological attention. Motivated by these
observations, we discuss how a perturbative framework, leading to a linear
piece in the potential, can be developed in a manifestly gauge and Lorentz
invariant manner, which moreover enjoys the property of being renormalizable to
all orders. We provide an effective action framework to discuss the dynamical
realization of the proposed scenario in Yang-Mills gauge theory.
|
[
{
"created": "Tue, 26 May 2009 14:38:49 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Dudal",
"D.",
""
]
] |
A few years ago, 't Hooft suggested a way to discuss confinement in a perturbative fashion. The original idea was put forward in the Coulomb gauge at tree level. In recent years, the concept of a nonperturbative short distance linear potential also attracted phenomenological attention. Motivated by these observations, we discuss how a perturbative framework, leading to a linear piece in the potential, can be developed in a manifestly gauge and Lorentz invariant manner, which moreover enjoys the property of being renormalizable to all orders. We provide an effective action framework to discuss the dynamical realization of the proposed scenario in Yang-Mills gauge theory.
|
hep-th/0409105
|
Victor Gurarie
|
V. Gurarie and A. W. W. Ludwig
|
Conformal Field Theory at central charge c=0 and Two-Dimensional
Critical Systems with Quenched Disorder
|
To be published in I. Kogan Memorial Volume
| null |
10.1142/9789812775344_0032
| null |
hep-th cond-mat.dis-nn
| null |
We examine two-dimensional conformal field theories (CFTs) at central charge
c=0. These arise typically in the description of critical systems with quenched
disorder, but also in other contexts including dilute self-avoiding polymers
and percolation. We show that such CFTs must in general possess, in addition to
their stress energy tensor T(z), an extra field whose holomorphic part, t(z),
has conformal weight two. The singular part of the Operator Product Expansion
(OPE) between T(z) and t(z) is uniquely fixed up to a single number b, defining
a new `anomaly' which is a characteristic of any c=0 CFT, and which may be used
to distinguish between different such CFTs. The extra field t(z) is not primary
(unless b=0), and is a so-called `logarithmic operator' except in special cases
which include affine (Kac-Moody) Lie-super current algebras. The number b
controls the question of whether Virasoro null-vectors arising at certain
conformal weights contained in the c=0 Kac table may be set to zero or not, in
these nonunitary theories. This has, in the familiar manner, implications on
the existence of differential equations satisfied by conformal blocks involving
primary operators with Kac-table dimensions. It is shown that c=0 theories
where t(z) is logarithmic, contain, besides T and t, additional fields with
conformal weight two. If the latter are a fermionic pair, the OPEs between the
holomorphic parts of all these conformal weight-two operators are automatically
covariant under a global U(1|1) supersymmetry. A full extension of the Virasoro
algebra by the Laurent modes of these extra conformal weight-two fields,
including t(z), remains an interesting question for future work.
|
[
{
"created": "Thu, 9 Sep 2004 17:04:00 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Gurarie",
"V.",
""
],
[
"Ludwig",
"A. W. W.",
""
]
] |
We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and percolation. We show that such CFTs must in general possess, in addition to their stress energy tensor T(z), an extra field whose holomorphic part, t(z), has conformal weight two. The singular part of the Operator Product Expansion (OPE) between T(z) and t(z) is uniquely fixed up to a single number b, defining a new `anomaly' which is a characteristic of any c=0 CFT, and which may be used to distinguish between different such CFTs. The extra field t(z) is not primary (unless b=0), and is a so-called `logarithmic operator' except in special cases which include affine (Kac-Moody) Lie-super current algebras. The number b controls the question of whether Virasoro null-vectors arising at certain conformal weights contained in the c=0 Kac table may be set to zero or not, in these nonunitary theories. This has, in the familiar manner, implications on the existence of differential equations satisfied by conformal blocks involving primary operators with Kac-table dimensions. It is shown that c=0 theories where t(z) is logarithmic, contain, besides T and t, additional fields with conformal weight two. If the latter are a fermionic pair, the OPEs between the holomorphic parts of all these conformal weight-two operators are automatically covariant under a global U(1|1) supersymmetry. A full extension of the Virasoro algebra by the Laurent modes of these extra conformal weight-two fields, including t(z), remains an interesting question for future work.
|
0907.1342
|
Francesc Ferrer
|
Francesc Ferrer
|
Cosmological acceleration from a gas of strings
|
6 pages, 2 figures. Proceedings of the GGI Dark Matter and Dark
Energy conference
|
Nucl.Phys.Proc.Suppl.194:218-223,2009
|
10.1016/j.nuclphysbps.2009.07.039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In string gas cosmology, the extra dimensions of the underlying theory are
kept at a microscopic scale by a gas of strings. In the matter-dominated era,
however, dust pressure can lead to oscillations of the extra dimensions and to
acceleration in the three visible dimensions, even with a vanishing
cosmological term. We review the resulting oscillating expansion history, that
provides an acceptable fit to the observed accelerated expansion of the
Universe.
|
[
{
"created": "Wed, 8 Jul 2009 05:54:41 GMT",
"version": "v1"
}
] |
2009-11-05
|
[
[
"Ferrer",
"Francesc",
""
]
] |
In string gas cosmology, the extra dimensions of the underlying theory are kept at a microscopic scale by a gas of strings. In the matter-dominated era, however, dust pressure can lead to oscillations of the extra dimensions and to acceleration in the three visible dimensions, even with a vanishing cosmological term. We review the resulting oscillating expansion history, that provides an acceptable fit to the observed accelerated expansion of the Universe.
|
2212.14166
|
John R. Hiller
|
D. A. Taylor, S. S. Chabysheva, J. R. Hiller
|
Gravitational soliton solutions to self-coupled Klein-Gordon and
Schr\"odinger equations
|
15 pages, 5 figures, RevTex 4.2; added new calculation based directly
on GR equations and corrected error in original work
| null |
10.1103/PhysRevD.107.124049
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We use the Klein-Gordon equation in a curved spacetime to construct the
relativistic analog of the Schr\"odinger-Newton problem, where a scalar
particle lives in a gravitational potential well generated by its own
probability distribution. A static, spherically symmetric metric is computed
from the field equations of general relativity, both directly and as modeled by
a perfect-fluid assumption that uses the Tolman-Oppenheimer-Volkov equation for
hydrostatic equilibrium of the mass density. The latter is appropriate for a
Hartree approximation to the many-body problem of a bosonic star. Simultaneous
self-consistent solution of the Klein--Gordon equation in this curved spacetime
then yields solitons with a range of radial excitations. We compare results
with the nonrelativistic case.
|
[
{
"created": "Thu, 29 Dec 2022 03:31:49 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2023 20:38:28 GMT",
"version": "v2"
}
] |
2023-07-12
|
[
[
"Taylor",
"D. A.",
""
],
[
"Chabysheva",
"S. S.",
""
],
[
"Hiller",
"J. R.",
""
]
] |
We use the Klein-Gordon equation in a curved spacetime to construct the relativistic analog of the Schr\"odinger-Newton problem, where a scalar particle lives in a gravitational potential well generated by its own probability distribution. A static, spherically symmetric metric is computed from the field equations of general relativity, both directly and as modeled by a perfect-fluid assumption that uses the Tolman-Oppenheimer-Volkov equation for hydrostatic equilibrium of the mass density. The latter is appropriate for a Hartree approximation to the many-body problem of a bosonic star. Simultaneous self-consistent solution of the Klein--Gordon equation in this curved spacetime then yields solitons with a range of radial excitations. We compare results with the nonrelativistic case.
|
1606.00377
|
Geoffrey Comp\`ere
|
Geoffrey Comp\`ere
|
Bulk supertranslation memories: a concept reshaping the vacua and black
holes of general relativity
|
5 pages + bibliography. Honorable mention at the Gravity Research
Foundation 2016 Essay Contest
| null |
10.1142/S0218271816440065
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The memory effect is a prediction of general relativity on the same footing
as the existence of gravitational waves. The memory effect is understood at
future null infinity as a transition induced by null radiation from a
Poincar\'e vacuum to another vacuum. Those are related by a supertranslation,
which is a fundamental symmetry of asymptotically flat spacetimes. In this
essay, I argue that finite supertranslation diffeomorphisms should be extended
into the bulk spacetime consistently with canonical charge conservation. It
then leads to fascinating geometrical features of gravitational Poincar\'e
vacua. I then argue that in the process of black hole merger or gravitational
collapse, dramatic but computable memory effects occur. They lead to a final
stationary metric which qualitatively deviates from the Schwarzschild metric.
|
[
{
"created": "Wed, 1 Jun 2016 18:07:33 GMT",
"version": "v1"
}
] |
2016-11-15
|
[
[
"Compère",
"Geoffrey",
""
]
] |
The memory effect is a prediction of general relativity on the same footing as the existence of gravitational waves. The memory effect is understood at future null infinity as a transition induced by null radiation from a Poincar\'e vacuum to another vacuum. Those are related by a supertranslation, which is a fundamental symmetry of asymptotically flat spacetimes. In this essay, I argue that finite supertranslation diffeomorphisms should be extended into the bulk spacetime consistently with canonical charge conservation. It then leads to fascinating geometrical features of gravitational Poincar\'e vacua. I then argue that in the process of black hole merger or gravitational collapse, dramatic but computable memory effects occur. They lead to a final stationary metric which qualitatively deviates from the Schwarzschild metric.
|
1412.0338
|
Shingo Takeuchi
|
Shingo Takeuchi
|
Unruh effect in a real scalar field with the Higgs type potential on the
de Sitter space
|
v3: 16 pages, 8 figures, version after published (description was
improved)
|
Eur.Phys.J. C75 (2015) 9, 404
|
10.1140/epjc/s10052-015-3603-6
| null |
hep-th hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been predicted that an accelerating electron performs a Brownian
motion in the inertial frame. This Brownian motion in the inertial frame has
its roots in the interaction with the thermal excitation given by the Unruh
effect in the accelerating frame. If such a prediction is possible, we
correspondingly propose a prediction in this study that the thermal radiation
appears in the inertial frame from an electron heated by the Unruh effect in
the accelerating frame. The point in our prediction is, although the Unruh
effect is only in the accelerating frame, if the appearance of the Brownian
motion rooted in the Unruh effect in the inertial frame can be predicted, the
heat that the particle gets in its body by the Unruh effect in the accelerating
frame could survive in the inertial frame. Based on such a prediction, in this
paper we investigate phenomena in the neighborhood of an accelerating electron
in the inertial frame. The model we consider is the four-dimensional
Klein-Gordon real scalar field model with the Higgs type potential term at the
finite temperature identified with the Unruh temperature on the de Sitter
space-time. We calculate the one-loop effective potential in the inertial frame
with the corrections by the thermal radiation rooted in the Unruh effect in the
accelerating frame. In this calculation, we take into account that the
background space-time is deformed due to the field theory's corrected one-loop
effective potential. Based on such an analysis, we illustrate the restoration
of the spontaneous symmetry breaking and the variation of the background
space-time, and we examine the accelerating particle's world-line and the
amount of the energy corresponding to the change of the acceleration.
|
[
{
"created": "Mon, 1 Dec 2014 03:20:54 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2015 13:55:36 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Oct 2015 09:12:05 GMT",
"version": "v3"
}
] |
2015-10-13
|
[
[
"Takeuchi",
"Shingo",
""
]
] |
It has been predicted that an accelerating electron performs a Brownian motion in the inertial frame. This Brownian motion in the inertial frame has its roots in the interaction with the thermal excitation given by the Unruh effect in the accelerating frame. If such a prediction is possible, we correspondingly propose a prediction in this study that the thermal radiation appears in the inertial frame from an electron heated by the Unruh effect in the accelerating frame. The point in our prediction is, although the Unruh effect is only in the accelerating frame, if the appearance of the Brownian motion rooted in the Unruh effect in the inertial frame can be predicted, the heat that the particle gets in its body by the Unruh effect in the accelerating frame could survive in the inertial frame. Based on such a prediction, in this paper we investigate phenomena in the neighborhood of an accelerating electron in the inertial frame. The model we consider is the four-dimensional Klein-Gordon real scalar field model with the Higgs type potential term at the finite temperature identified with the Unruh temperature on the de Sitter space-time. We calculate the one-loop effective potential in the inertial frame with the corrections by the thermal radiation rooted in the Unruh effect in the accelerating frame. In this calculation, we take into account that the background space-time is deformed due to the field theory's corrected one-loop effective potential. Based on such an analysis, we illustrate the restoration of the spontaneous symmetry breaking and the variation of the background space-time, and we examine the accelerating particle's world-line and the amount of the energy corresponding to the change of the acceleration.
|
hep-th/0201175
|
Yasuaki Hikida
|
Yasuaki Hikida
|
Orientifolds of SU(2)/U(1) WZW Models
|
33 pages, 3 figures, the geometry of orientifolds corrected and the
spectral flow identification reconsidered
|
JHEP 0211 (2002) 035
|
10.1088/1126-6708/2002/11/035
| null |
hep-th
| null |
The orientifolds of SU(2)/U(1) gauged WZW models are investigated. In
particular, we construct the new type orientifolds and identify their
geometries. We closely follow the analysis of D-branes in the SU(2)/U(1) WZW
models, which was given by Maldacena, Moore and Seiberg.
|
[
{
"created": "Tue, 22 Jan 2002 20:21:38 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Jan 2002 10:09:05 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Aug 2002 19:40:52 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Hikida",
"Yasuaki",
""
]
] |
The orientifolds of SU(2)/U(1) gauged WZW models are investigated. In particular, we construct the new type orientifolds and identify their geometries. We closely follow the analysis of D-branes in the SU(2)/U(1) WZW models, which was given by Maldacena, Moore and Seiberg.
|
hep-th/0609048
|
Antoine Van Proeyen
|
Antoine Van Proeyen
|
Effective supergravity descriptions of superstring cosmology
|
12 pages, contribution to the proceedings of the 2nd international
conference on Quantum Theories and Renormalization Group in Gravity and
Cosmology, Barcelona, July 11-15, 2006, Journal of Physics A
|
J.Phys.A40:6715-6724,2007
|
10.1088/1751-8113/40/25/S16
|
KUL-TF-06/22
|
hep-th
| null |
This text is a review of aspects of supergravity theories that are relevant
in superstring cosmology. In particular, it considers the possibilities and
restrictions for `uplifting terms', i.e. methods to produce de Sitter vacua. We
concentrate on N=1 and N=2 supergravities, and the tools of superconformal
methods, which clarify the structure of these theories. Cosmic strings and
embeddings of target manifolds of supergravity theories in others are discussed
in short at the end.
|
[
{
"created": "Thu, 7 Sep 2006 07:29:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Van Proeyen",
"Antoine",
""
]
] |
This text is a review of aspects of supergravity theories that are relevant in superstring cosmology. In particular, it considers the possibilities and restrictions for `uplifting terms', i.e. methods to produce de Sitter vacua. We concentrate on N=1 and N=2 supergravities, and the tools of superconformal methods, which clarify the structure of these theories. Cosmic strings and embeddings of target manifolds of supergravity theories in others are discussed in short at the end.
|
1405.0298
|
Jason Pollack
|
Kimberly K. Boddy, Sean M. Carroll, and Jason Pollack
|
De Sitter Space Without Dynamical Quantum Fluctuations
|
version accepted for publication in Foundations of Physics
| null | null |
CALT-68-2878
|
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that, under certain plausible assumptions, de Sitter space settles
into a quiescent vacuum in which there are no dynamical quantum fluctuations.
Such fluctuations require either an evolving microstate, or time-dependent
histories of out-of-equilibrium recording devices, which we argue are absent in
stationary states. For a massive scalar field in a fixed de Sitter background,
the cosmic no-hair theorem implies that the state of the patch approaches the
vacuum, where there are no fluctuations. We argue that an analogous conclusion
holds whenever a patch of de Sitter is embedded in a larger theory with an
infinite-dimensional Hilbert space, including semiclassical quantum gravity
with false vacua or complementarity in theories with at least one Minkowski
vacuum. This reasoning provides an escape from the Boltzmann brain problem in
such theories. It also implies that vacuum states do not uptunnel to
higher-energy vacua and that perturbations do not decohere while slow-roll
inflation occurs, suggesting that eternal inflation is much less common than
often supposed. On the other hand, if a de Sitter patch is a closed system with
a finite-dimensional Hilbert space, there will be Poincare recurrences and
dynamical Boltzmann fluctuations into lower-entropy states. Our analysis does
not alter the conventional understanding of the origin of density fluctuations
from primordial inflation, since reheating naturally generates a high-entropy
environment and leads to decoherence, nor does it affect the existence of
non-dynamical vacuum fluctuations such as those that give rise to the Casimir
effect.
|
[
{
"created": "Thu, 1 May 2014 20:13:14 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2015 21:02:36 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Feb 2016 22:32:02 GMT",
"version": "v3"
}
] |
2016-02-24
|
[
[
"Boddy",
"Kimberly K.",
""
],
[
"Carroll",
"Sean M.",
""
],
[
"Pollack",
"Jason",
""
]
] |
We argue that, under certain plausible assumptions, de Sitter space settles into a quiescent vacuum in which there are no dynamical quantum fluctuations. Such fluctuations require either an evolving microstate, or time-dependent histories of out-of-equilibrium recording devices, which we argue are absent in stationary states. For a massive scalar field in a fixed de Sitter background, the cosmic no-hair theorem implies that the state of the patch approaches the vacuum, where there are no fluctuations. We argue that an analogous conclusion holds whenever a patch of de Sitter is embedded in a larger theory with an infinite-dimensional Hilbert space, including semiclassical quantum gravity with false vacua or complementarity in theories with at least one Minkowski vacuum. This reasoning provides an escape from the Boltzmann brain problem in such theories. It also implies that vacuum states do not uptunnel to higher-energy vacua and that perturbations do not decohere while slow-roll inflation occurs, suggesting that eternal inflation is much less common than often supposed. On the other hand, if a de Sitter patch is a closed system with a finite-dimensional Hilbert space, there will be Poincare recurrences and dynamical Boltzmann fluctuations into lower-entropy states. Our analysis does not alter the conventional understanding of the origin of density fluctuations from primordial inflation, since reheating naturally generates a high-entropy environment and leads to decoherence, nor does it affect the existence of non-dynamical vacuum fluctuations such as those that give rise to the Casimir effect.
|
1312.1541
|
Norma Susana Mankoc Borstnik
|
T. Troha, D. Lukman and N.S. Mankoc Borstnik
|
Massless and massive representations in the spinor technique
|
21 pages, revised version
|
International Journal of Modern Physics A Vol. 29, No. 23 (2014)
145012
|
10.1142/S0217751X14501243
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The technique for representing spinors and the definition of the discrete
symmetries is used to illustrate on a toy model properties of massless and
massive spinors states, in the first and the second quantized picture. Since in
this toy model the number of the starting massless representations is well
defined as well as the origin of masses and charges in $d=(3+1)$ space, this
contribution might help to clarify the problem about Dirac, Weyl and Majorana
kinds of representations in physically more interesting cases.
|
[
{
"created": "Thu, 5 Dec 2013 13:43:08 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2014 09:27:31 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jun 2014 13:12:37 GMT",
"version": "v3"
}
] |
2014-09-19
|
[
[
"Troha",
"T.",
""
],
[
"Lukman",
"D.",
""
],
[
"Borstnik",
"N. S. Mankoc",
""
]
] |
The technique for representing spinors and the definition of the discrete symmetries is used to illustrate on a toy model properties of massless and massive spinors states, in the first and the second quantized picture. Since in this toy model the number of the starting massless representations is well defined as well as the origin of masses and charges in $d=(3+1)$ space, this contribution might help to clarify the problem about Dirac, Weyl and Majorana kinds of representations in physically more interesting cases.
|
1810.08196
|
Fabiano F. Santos F. F. Santos
|
F.A. Brito, F.F. Santos
|
Braneworlds in Horndeski gravity
|
11 pages, 7 figures
|
The European Physical Journal Plus (2022)
|
10.1140/epjp/s13360-022-03270-w
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we address the issue of finding braneworld solutions in a
five-dimensional Horndeski gravity and the mechanism of gravity localization
into the brane via ``almost massless modes'' for suitable values of the
Horndeski parameters. We compute the corrections to the Newtonian potential and
discuss the limit where four-dimensional gravity is recovered.
|
[
{
"created": "Thu, 18 Oct 2018 17:59:37 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2022 02:20:19 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Sep 2022 20:48:15 GMT",
"version": "v3"
}
] |
2022-09-19
|
[
[
"Brito",
"F. A.",
""
],
[
"Santos",
"F. F.",
""
]
] |
In this paper we address the issue of finding braneworld solutions in a five-dimensional Horndeski gravity and the mechanism of gravity localization into the brane via ``almost massless modes'' for suitable values of the Horndeski parameters. We compute the corrections to the Newtonian potential and discuss the limit where four-dimensional gravity is recovered.
|
2304.10509
|
Samuel Laliberte
|
Samuel Laliberte and Suddhasattwa Brahma
|
IKKT thermodynamics and early universe cosmology
| null | null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Matrix theory is a proposed non-perturbative definition of superstring theory
in which space is emergent. Recently, it was shown that space-time can emerge
with a scale-invariant spectrum of cosmological perturbations which is sourced
by thermal fluctuations of the BFSS model at finite temperature. Inspired by
these results, we begin a study of the IKKT model at finite temperature. We
find that in this model, which is closely related to the BFSS model at finite
temperature, thermal fluctuations can also source a scale-invariant spectrum of
scalar and tensor fluctuations.
|
[
{
"created": "Thu, 20 Apr 2023 17:45:56 GMT",
"version": "v1"
}
] |
2023-04-21
|
[
[
"Laliberte",
"Samuel",
""
],
[
"Brahma",
"Suddhasattwa",
""
]
] |
Matrix theory is a proposed non-perturbative definition of superstring theory in which space is emergent. Recently, it was shown that space-time can emerge with a scale-invariant spectrum of cosmological perturbations which is sourced by thermal fluctuations of the BFSS model at finite temperature. Inspired by these results, we begin a study of the IKKT model at finite temperature. We find that in this model, which is closely related to the BFSS model at finite temperature, thermal fluctuations can also source a scale-invariant spectrum of scalar and tensor fluctuations.
|
2001.09869
|
Gustavo Valdivia-Mera
|
Gustavo Valdivia-Mera
|
On the Unruh effect and the Thermofield Double State
|
39 pages, 11 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The goal of this article is to present a pedagogical development of the Unruh
effect and the Thermofield Double State. In part I, we construct the Rindler
space-time and analyze the observer's perspective under constant acceleration
in Minkowski, which motivates relating the Fourier modes in both geometries
using the Bogoliubov-Valatin transformations. In part II, we examine the
physics involved, which leads us to the Unruh effect. Finally, in part III, we
obtain the Thermofield Double State by performing a Euclidean analysis of the
field and geometry.
|
[
{
"created": "Mon, 27 Jan 2020 15:47:17 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2023 05:33:51 GMT",
"version": "v2"
}
] |
2023-03-16
|
[
[
"Valdivia-Mera",
"Gustavo",
""
]
] |
The goal of this article is to present a pedagogical development of the Unruh effect and the Thermofield Double State. In part I, we construct the Rindler space-time and analyze the observer's perspective under constant acceleration in Minkowski, which motivates relating the Fourier modes in both geometries using the Bogoliubov-Valatin transformations. In part II, we examine the physics involved, which leads us to the Unruh effect. Finally, in part III, we obtain the Thermofield Double State by performing a Euclidean analysis of the field and geometry.
|
2402.06621
|
Francesco Fucito
|
Giorgio Di Russo, Francesco Fucito, Jose Francisco Morales
|
Tidal resonances for fuzzballs
|
23 pages, 8 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gravitational tidal response of D1D5, Top Star and (1,0,n)
strata horizonless geometries. We find that the tidal interactions in fuzzball
geometries, unlike in the case of black holes, exhibits a sequence of resonant
peaks associated to the existence of metastable bound states. The spectrum of
resonant frequencies is computed by semi-analytical and numerical methods.
|
[
{
"created": "Fri, 9 Feb 2024 18:55:40 GMT",
"version": "v1"
}
] |
2024-02-12
|
[
[
"Di Russo",
"Giorgio",
""
],
[
"Fucito",
"Francesco",
""
],
[
"Morales",
"Jose Francisco",
""
]
] |
We study the gravitational tidal response of D1D5, Top Star and (1,0,n) strata horizonless geometries. We find that the tidal interactions in fuzzball geometries, unlike in the case of black holes, exhibits a sequence of resonant peaks associated to the existence of metastable bound states. The spectrum of resonant frequencies is computed by semi-analytical and numerical methods.
|
0808.3430
|
Katsumi Itoh
|
Yuji Igarashi, Katsumi Itoh, Hidenori Sonoda
|
Ward-Takahashi identity for Yang-Mills theory in the Exact
Renormalization Group
|
12 pages
|
Prog.Theor.Phys.120:1017-1028,2008
|
10.1143/PTP.120.1017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a functional derivation of the Ward-Takahashi identity for Yang-Mills
theory in the framework of the exact renormalization group. The identity
realizes non-abelian gauge symmetry nontrivially despite the presence of a
momentum cutoff. The cutoff deforms the gauge transformation by introducing
composite operators. In our functional method, which is an extension of the
method used in our previous work on QED, these composite operators are
expressed in terms of the Wilson action that depends on both a UV cutoff and an
IR cutoff.
|
[
{
"created": "Tue, 26 Aug 2008 01:54:49 GMT",
"version": "v1"
}
] |
2011-04-14
|
[
[
"Igarashi",
"Yuji",
""
],
[
"Itoh",
"Katsumi",
""
],
[
"Sonoda",
"Hidenori",
""
]
] |
We give a functional derivation of the Ward-Takahashi identity for Yang-Mills theory in the framework of the exact renormalization group. The identity realizes non-abelian gauge symmetry nontrivially despite the presence of a momentum cutoff. The cutoff deforms the gauge transformation by introducing composite operators. In our functional method, which is an extension of the method used in our previous work on QED, these composite operators are expressed in terms of the Wilson action that depends on both a UV cutoff and an IR cutoff.
|
2001.06473
|
Cameron Langer
|
Ryota Kojima and Cameron Langer
|
Sign Flip Triangulations of the Amplituhedron
|
38 pages, 5 figures
| null |
10.1007/JHEP05(2020)121
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present new triangulations of the $m=4$ amplituhedron relevant for
scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills, obtained
directly from the combinatorial definition of the geometry. Using the "sign
flip" characterization of the amplituhedron, we reproduce the canonical forms
for the all-multiplicity next-to-maximally helicity violating (NMHV) and
next-to-next-to-maximally helicity violating ($\text{N}^2$MHV) tree-level as
well as the NMHV one-loop cases, without using any input from traditional
amplitudes methods. Our results provide strong evidence for the equivalence of
the original definition of the amplituhedron \cite{Arkani-Hamed:2013jha} and
the topological one \cite{Arkani-Hamed:2017vfh}, and suggest a new path forward
for computing higher loop amplitudes geometrically. In particular, we realize
the NMHV one-loop amplituhedron as the intersection of two amplituhedra of
lower dimensionality, which is reflected in the novel structure of the
corresponding canonical form.
|
[
{
"created": "Fri, 17 Jan 2020 18:50:09 GMT",
"version": "v1"
}
] |
2020-06-24
|
[
[
"Kojima",
"Ryota",
""
],
[
"Langer",
"Cameron",
""
]
] |
We present new triangulations of the $m=4$ amplituhedron relevant for scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills, obtained directly from the combinatorial definition of the geometry. Using the "sign flip" characterization of the amplituhedron, we reproduce the canonical forms for the all-multiplicity next-to-maximally helicity violating (NMHV) and next-to-next-to-maximally helicity violating ($\text{N}^2$MHV) tree-level as well as the NMHV one-loop cases, without using any input from traditional amplitudes methods. Our results provide strong evidence for the equivalence of the original definition of the amplituhedron \cite{Arkani-Hamed:2013jha} and the topological one \cite{Arkani-Hamed:2017vfh}, and suggest a new path forward for computing higher loop amplitudes geometrically. In particular, we realize the NMHV one-loop amplituhedron as the intersection of two amplituhedra of lower dimensionality, which is reflected in the novel structure of the corresponding canonical form.
|
1812.03120
|
Gim Seng Ng
|
Manuela Kulaxizi, Gim Seng Ng and Andrei Parnachev
|
Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
|
47 pages; v2: minor reference and typo updates; v3: fig. 1 added +
minor updates for clarifications
|
SciPost Phys. 6, 065 (2019)
|
10.21468/SciPostPhys.6.6.065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the phase shift of a highly energetic particle traveling in the
background of an asymptotically AdS black hole. In the dual CFT, the phase
shift is related to a four point function in the Regge limit. The black hole
mass is translated to the ratio between the conformal dimension of a heavy
operator and the central charge. This ratio serves as a useful expansion
parameter; its power measures the number of stress tensors appearing in the
intermediate channel. We compute the leading term in the phase shift in a
holographic CFT of arbitrary dimensionality using Conformal Regge Theory and
observe complete agreement with the gravity result. In a two-dimensional CFT
with a large central charge the heavy-heavy-light-light Virasoro vacuum block
reproduces the gravity phase shift to all orders in the expansion parameter. We
show that the leading order phase shift is related to the anomalous dimensions
of certain double trace operators and verify this agreement using known results
for the latter. We also perform a separate gravity calculation of these
anomalous dimensions to second order in the expansion parameter and compare
with the phase shift expansion.
|
[
{
"created": "Fri, 7 Dec 2018 17:34:09 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2019 11:04:02 GMT",
"version": "v2"
},
{
"created": "Wed, 15 May 2019 14:13:28 GMT",
"version": "v3"
}
] |
2019-06-12
|
[
[
"Kulaxizi",
"Manuela",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Parnachev",
"Andrei",
""
]
] |
We compute the phase shift of a highly energetic particle traveling in the background of an asymptotically AdS black hole. In the dual CFT, the phase shift is related to a four point function in the Regge limit. The black hole mass is translated to the ratio between the conformal dimension of a heavy operator and the central charge. This ratio serves as a useful expansion parameter; its power measures the number of stress tensors appearing in the intermediate channel. We compute the leading term in the phase shift in a holographic CFT of arbitrary dimensionality using Conformal Regge Theory and observe complete agreement with the gravity result. In a two-dimensional CFT with a large central charge the heavy-heavy-light-light Virasoro vacuum block reproduces the gravity phase shift to all orders in the expansion parameter. We show that the leading order phase shift is related to the anomalous dimensions of certain double trace operators and verify this agreement using known results for the latter. We also perform a separate gravity calculation of these anomalous dimensions to second order in the expansion parameter and compare with the phase shift expansion.
|
1909.11612
|
Francesco Benini
|
Francesco Benini, Dongmin Gang and Leopoldo A. Pando Zayas
|
Rotating Black Hole Entropy from M5-branes
|
36 pages; v2: improved version with many clarifications; v3:
published version
|
JHEP 2003 (2020) 057
|
10.1007/JHEP03(2020)057
|
LCTP-19-24, SISSA 27/2019/FISI
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the superconformal index of 3d $\mathcal{N}=2$ superconformal
theories obtained from $N$ M5-branes wrapped on a hyperbolic 3-manifold.
Exploiting the 3d-3d correspondence, we use perturbative invariants of
$SL(N,\mathbb{C})$ Chern-Simons theory to determine the superconformal index in
the large $N$ limit, including corrections logarithmic in $N$. The leading
order partition function provides a microscopic foundation for the entropy
function of the dual rotating asymptotically AdS$_4$ black holes. We also
verify that the supergravity one-loop contribution to the $\log N$ term
coincides with the field theoretic result. We propose a 3d-3d formulation for
the refined topologically twisted index, and provide strong evidence in support
of its vanishing --- which agrees with the fact that the expected dual rotating
magnetically-charged black hole does not exist. This provides an interesting
link between gravity and a tantalizing mathematical result.
|
[
{
"created": "Wed, 25 Sep 2019 16:53:44 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 15:51:00 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Mar 2020 16:42:44 GMT",
"version": "v3"
}
] |
2020-03-30
|
[
[
"Benini",
"Francesco",
""
],
[
"Gang",
"Dongmin",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] |
We compute the superconformal index of 3d $\mathcal{N}=2$ superconformal theories obtained from $N$ M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of $SL(N,\mathbb{C})$ Chern-Simons theory to determine the superconformal index in the large $N$ limit, including corrections logarithmic in $N$. The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS$_4$ black holes. We also verify that the supergravity one-loop contribution to the $\log N$ term coincides with the field theoretic result. We propose a 3d-3d formulation for the refined topologically twisted index, and provide strong evidence in support of its vanishing --- which agrees with the fact that the expected dual rotating magnetically-charged black hole does not exist. This provides an interesting link between gravity and a tantalizing mathematical result.
|
1607.02593
|
Andrea Addazi AndAdd
|
Andrea Addazi
|
More about the Instanton/Soliton/Kink correspondence
| null | null |
10.1142/S0219887817500128
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that all gauge instantons in a $d=3+1$ Yang-Mills theory, with
generic topological vacuum charge K, correspond to soliton solutions and kink
scalar fields in $d=4+1$ space-time.
|
[
{
"created": "Sat, 9 Jul 2016 10:08:08 GMT",
"version": "v1"
}
] |
2017-01-04
|
[
[
"Addazi",
"Andrea",
""
]
] |
We demonstrate that all gauge instantons in a $d=3+1$ Yang-Mills theory, with generic topological vacuum charge K, correspond to soliton solutions and kink scalar fields in $d=4+1$ space-time.
|
1504.04330
|
Avinash Raju
|
Chethan Krishnan, Avinash Raju
|
A Note on D1-D5 Entropy and Geometric Quantization
|
v2,3: minor corrections to a footnote and acknowledgments, v1 is the
JHEP version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We quantize the space of 2-charge fuzzballs in IIB supergravity on $K3$. The
resulting entropy precisely matches the D1-D5 black hole entropy, including a
specific numerical coefficient. A partial match (ie., a smaller coefficient)
was found by Rychkov a decade ago using the Lunin-Mathur subclass of solutions
- we use a simple observation to generalize his approach to the full moduli
space of $K3$ fuzzballs, filling a small gap in the literature.
|
[
{
"created": "Thu, 16 Apr 2015 18:36:35 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2015 11:45:19 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Jul 2015 12:47:51 GMT",
"version": "v3"
}
] |
2015-07-27
|
[
[
"Krishnan",
"Chethan",
""
],
[
"Raju",
"Avinash",
""
]
] |
We quantize the space of 2-charge fuzzballs in IIB supergravity on $K3$. The resulting entropy precisely matches the D1-D5 black hole entropy, including a specific numerical coefficient. A partial match (ie., a smaller coefficient) was found by Rychkov a decade ago using the Lunin-Mathur subclass of solutions - we use a simple observation to generalize his approach to the full moduli space of $K3$ fuzzballs, filling a small gap in the literature.
|
2406.14755
|
Vieri Mastropietro
|
Vieri Mastropietro
|
Non-perturbative RG for the Weak interaction corrections to the magnetic
moment
|
9 pages, 8 Figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We analyze, by rigorous Renormalization Group (RG) methods, a Fermi model for
Weak forces with a single family of leptons, one massless and the other with
mass $m=M e^{-\beta}$, with $M$ the gauge boson mass, a quartic non-local
interaction with coupling $\lambda^2$ and a momentum cut-off $\Lambda$. The
magnetic moment is written as a series in $\lambda^2$, with $n$-th coefficients
bounded by $C^n ({m^2\over M^2}) \beta^{2n } ({\Lambda^2\over
M^2})^{(1+0^+)(n-1)}$ if $C$ a constant; this implies convergence and provides
non-perturbative bounds on the higher orders contribution. The fact that the
magnetic moment is associated to a dimensionally irrelevant quantity requires
the implementation of cancellations in the multiscale analysis.
|
[
{
"created": "Thu, 20 Jun 2024 22:02:54 GMT",
"version": "v1"
}
] |
2024-06-24
|
[
[
"Mastropietro",
"Vieri",
""
]
] |
We analyze, by rigorous Renormalization Group (RG) methods, a Fermi model for Weak forces with a single family of leptons, one massless and the other with mass $m=M e^{-\beta}$, with $M$ the gauge boson mass, a quartic non-local interaction with coupling $\lambda^2$ and a momentum cut-off $\Lambda$. The magnetic moment is written as a series in $\lambda^2$, with $n$-th coefficients bounded by $C^n ({m^2\over M^2}) \beta^{2n } ({\Lambda^2\over M^2})^{(1+0^+)(n-1)}$ if $C$ a constant; this implies convergence and provides non-perturbative bounds on the higher orders contribution. The fact that the magnetic moment is associated to a dimensionally irrelevant quantity requires the implementation of cancellations in the multiscale analysis.
|
hep-th/9904134
|
Francesco Toppan
|
M.A. De Andrade and F. Toppan (CBPF, RJ, Brazil)
|
Real Structures in Clifford Algebras and Majorana Conditions in Any
Space-time
|
17 pages, LaTex. Some remarks added
|
Mod.Phys.Lett. A14 (1999) 1797-1814
|
10.1142/S0217732399001899
|
CBPF-NF-013/99
|
hep-th
| null |
Clifford algebras and Majorana conditions are analyzed in any spacetime. An
index labeling inequivalent $\Gamma$-structures up to orthogonal conjugations
is introduced. Inequivalent charge-operators in even-dimensions, invariant
under Wick rotations, are considered. The hermiticity condition on free-spinors
lagrangians is presented. The constraints put by the Majorana condition on the
free-spinors dynamics are analyzed. Tables specifying which spacetimes admit
lagrangians with non-vanishing kinetic, massive or pseudomassive terms (for
both charge-operators in even dimensions) are given. The admissible free
lagrangians for free Majorana-Weyl spinors are fully classified.
|
[
{
"created": "Tue, 20 Apr 1999 15:17:49 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 1999 19:28:52 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"De Andrade",
"M. A.",
"",
"CBPF, RJ, Brazil"
],
[
"Toppan",
"F.",
"",
"CBPF, RJ, Brazil"
]
] |
Clifford algebras and Majorana conditions are analyzed in any spacetime. An index labeling inequivalent $\Gamma$-structures up to orthogonal conjugations is introduced. Inequivalent charge-operators in even-dimensions, invariant under Wick rotations, are considered. The hermiticity condition on free-spinors lagrangians is presented. The constraints put by the Majorana condition on the free-spinors dynamics are analyzed. Tables specifying which spacetimes admit lagrangians with non-vanishing kinetic, massive or pseudomassive terms (for both charge-operators in even dimensions) are given. The admissible free lagrangians for free Majorana-Weyl spinors are fully classified.
|
2307.02929
|
Evgenii Ievlev
|
Pavlo Gavrylenko, Evgenii Ievlev, Andrei Marshakov, Ilia Monastyrskii,
Alexei Yung
|
2d Sigma Models on Non-compact Calabi-Yau and ${\mathcal N}=2$ Liouville
Theory
|
28 pages, 3 figures; citations added, other minor corrections
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a class of two dimensional conformal ${\mathcal N}=2$
supersymmetric $U(1)$ gauge linear sigma models with $N$ fields of charges $+1$
and $N$ fields of charges $-1$, whose Higgs branches are non-compact toric
Calabi-Yau manifolds of complex dimension $2N-1$. We show, starting from
large-$N$ approximation, that the Coulomb branch of these models, which opens
up at strong coupling, is described by ${\mathcal N}=2$ Liouville theory and
then extrapolate it to exact equivalence demanding the central charge of the
Liouville theory to be $\hat{c}=2N-1$. Next we concentrate on $N=2$ (which is
physically mostly attractive case) and $N\geq 3$ cases and find there a perfect
agreement of the set of complex moduli on the Calabi-Yau side with the marginal
deformations in ${\mathcal N}=2$ Liouville theory, supporting proposed exact
equivalence.
|
[
{
"created": "Thu, 6 Jul 2023 11:30:57 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2023 12:30:19 GMT",
"version": "v2"
}
] |
2023-07-25
|
[
[
"Gavrylenko",
"Pavlo",
""
],
[
"Ievlev",
"Evgenii",
""
],
[
"Marshakov",
"Andrei",
""
],
[
"Monastyrskii",
"Ilia",
""
],
[
"Yung",
"Alexei",
""
]
] |
We consider a class of two dimensional conformal ${\mathcal N}=2$ supersymmetric $U(1)$ gauge linear sigma models with $N$ fields of charges $+1$ and $N$ fields of charges $-1$, whose Higgs branches are non-compact toric Calabi-Yau manifolds of complex dimension $2N-1$. We show, starting from large-$N$ approximation, that the Coulomb branch of these models, which opens up at strong coupling, is described by ${\mathcal N}=2$ Liouville theory and then extrapolate it to exact equivalence demanding the central charge of the Liouville theory to be $\hat{c}=2N-1$. Next we concentrate on $N=2$ (which is physically mostly attractive case) and $N\geq 3$ cases and find there a perfect agreement of the set of complex moduli on the Calabi-Yau side with the marginal deformations in ${\mathcal N}=2$ Liouville theory, supporting proposed exact equivalence.
|
hep-th/0310113
|
Andrei Mironov
|
A.Alexandrov, A.Mironov, A.Morozov
|
Partition Functions of Matrix Models as the First Special Functions of
String Theory I. Finite Size Hermitean 1-Matrix Model
|
64 pages, LaTeX
|
Int.J.Mod.Phys.A19:4127-4165,2004; Teor.Mat.Fiz.142:419-488,2005
|
10.1142/S0217751X04018245
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Even though matrix model partition functions do not exhaust the entire set of
tau-functions relevant for string theory, they seem to be elementary building
blocks for many others and they seem to properly capture the fundamental
symplicial nature of quantum gravity and string theory. We propose to consider
matrix model partition functions as new special functions. This means they
should be investigated and put into some standard form, with no reference to
particular applications. At the same time, the tables and lists of properties
should be full enough to avoid discoveries of unexpected peculiarities in new
applications. This is a big job, and the present paper is just a step in this
direction. Here we restrict our consideration to the finite-size Hermitean
1-matrix model and concentrate mostly on its phase/branch structure arising
when the partition function is considered as a D-module. We discuss the role of
the CIV-DV prepotential (as generating a possible basis in the linear space of
solutions to the Virasoro constraints, but with a lack of understanding of why
and how this basis is distinguished) and evaluate first few multiloop
correlators, which generalize semicircular distribution to the case of
multitrace and non-planar correlators.
|
[
{
"created": "Sun, 12 Oct 2003 19:15:01 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2018 11:36:36 GMT",
"version": "v2"
}
] |
2018-05-01
|
[
[
"Alexandrov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
Even though matrix model partition functions do not exhaust the entire set of tau-functions relevant for string theory, they seem to be elementary building blocks for many others and they seem to properly capture the fundamental symplicial nature of quantum gravity and string theory. We propose to consider matrix model partition functions as new special functions. This means they should be investigated and put into some standard form, with no reference to particular applications. At the same time, the tables and lists of properties should be full enough to avoid discoveries of unexpected peculiarities in new applications. This is a big job, and the present paper is just a step in this direction. Here we restrict our consideration to the finite-size Hermitean 1-matrix model and concentrate mostly on its phase/branch structure arising when the partition function is considered as a D-module. We discuss the role of the CIV-DV prepotential (as generating a possible basis in the linear space of solutions to the Virasoro constraints, but with a lack of understanding of why and how this basis is distinguished) and evaluate first few multiloop correlators, which generalize semicircular distribution to the case of multitrace and non-planar correlators.
|
2103.13057
|
Hoang Nam Cao
|
Cao H. Nam
|
Implications for the hierarchy problem, inflation and geodesic motion
from fiber fabric of spacetime
|
45 pages, 11 figures. v3: references added
| null |
10.1140/epjc/s10052-021-09881-4
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we represent a resolution for the hierarchy problem where the
inverse size of the extra dimension and the fundamental Planck scale would all
be of the order of the TeV scale by proposing a fiber fabric of spacetime. The
origin of the large hierarchy is essentially due to the $\cosh$ function which
has a physical origin from the dynamics of the horizontal metric in the vacuum
of non-zero energy. In addition, the fiber fabric of spacetime allows us to
resolve elegantly and naturally the problems of the chirality fermions and
stabilizing potential for the size of the extra dimension, which are usually
encountered in the higher dimensional theories. Then, we explore the inflation
with the modulus of the extra dimension identified as the inflaton where our
slow-roll inflationary model belongs to the E-model class with $n=1$. We
calculate the main inflationary observables which are consistent with the
present experiments. Finally, we study how the geodesic motion of neutral test
particles gets modified from the extension of spacetime. We compute the radius
of the photon sphere, the innermost stable circular orbit, the perihelion
shift, the light bending angle, and the observables of the strong gravitational
lensing and the retrolensing phenomenon. By comparing the predicted values with
the experimental observations, we determine the constraints on the fiber fabric
of spacetime.
|
[
{
"created": "Wed, 24 Mar 2021 10:13:16 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2021 05:22:02 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Oct 2023 08:46:37 GMT",
"version": "v3"
}
] |
2023-10-31
|
[
[
"Nam",
"Cao H.",
""
]
] |
In this paper, we represent a resolution for the hierarchy problem where the inverse size of the extra dimension and the fundamental Planck scale would all be of the order of the TeV scale by proposing a fiber fabric of spacetime. The origin of the large hierarchy is essentially due to the $\cosh$ function which has a physical origin from the dynamics of the horizontal metric in the vacuum of non-zero energy. In addition, the fiber fabric of spacetime allows us to resolve elegantly and naturally the problems of the chirality fermions and stabilizing potential for the size of the extra dimension, which are usually encountered in the higher dimensional theories. Then, we explore the inflation with the modulus of the extra dimension identified as the inflaton where our slow-roll inflationary model belongs to the E-model class with $n=1$. We calculate the main inflationary observables which are consistent with the present experiments. Finally, we study how the geodesic motion of neutral test particles gets modified from the extension of spacetime. We compute the radius of the photon sphere, the innermost stable circular orbit, the perihelion shift, the light bending angle, and the observables of the strong gravitational lensing and the retrolensing phenomenon. By comparing the predicted values with the experimental observations, we determine the constraints on the fiber fabric of spacetime.
|
1101.3332
|
Jyotirmoy Bhattacharya
|
Jyotirmoy Bhattacharya, Sayantani Bhattacharyya and Shiraz Minwalla
|
Dissipative superfluid dynamics from gravity
|
v1: 58 + 1 pages; v2: 83 + 1 pages
|
JHEP 1104 (2011) 125
|
10.1007/JHEP04(2011)125
|
TIFR/TH/11-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Charged asymptotically AdS black branes in five dimensions are sometimes
unstable to the condensation of charged scalar fields. For fields of infinite
charge and squared mass -4 Herzog was able to analytically determine the phase
transition temperature and compute the endpoint of this instability in the
neighborhood of the phase transition. We generalize Herzog's construction by
perturbing away from infinite charge in an expansion in inverse charge and use
the solutions so obtained as input for the fluid gravity map. Our tube wise
construction of patched up locally hairy black brane solutions yields a one to
one map from the space of solutions of superfluid dynamics to the long
wavelength solutions of the Einstein Maxwell system. We obtain explicit
expressions for the metric, gauge field and scalar field dual to an arbitrary
superfluid flow at first order in the derivative expansion. Our construction
allows us to read off the the leading dissipative corrections to the perfect
superfluid stress tensor, current and Josephson equations. A general framework
for dissipative superfluid dynamics was worked out by Landau and Lifshitz for
zero superfluid velocity and generalized to nonzero fluid velocity by Clark and
Putterman. Our gravitational results do not fit into the 13 parameter
Clark-Putterman framework. Purely within fluid dynamics we present a consistent
new generalization of Clark and Putterman's equations to a set of superfluid
equations parameterized by 14 dissipative parameters. The results of our
gravitational calculation fit perfectly into this enlarged framework. In
particular we compute all the dissipative constants for the gravitational
superfluid.
|
[
{
"created": "Mon, 17 Jan 2011 21:10:40 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2011 21:52:24 GMT",
"version": "v2"
}
] |
2014-10-31
|
[
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Minwalla",
"Shiraz",
""
]
] |
Charged asymptotically AdS black branes in five dimensions are sometimes unstable to the condensation of charged scalar fields. For fields of infinite charge and squared mass -4 Herzog was able to analytically determine the phase transition temperature and compute the endpoint of this instability in the neighborhood of the phase transition. We generalize Herzog's construction by perturbing away from infinite charge in an expansion in inverse charge and use the solutions so obtained as input for the fluid gravity map. Our tube wise construction of patched up locally hairy black brane solutions yields a one to one map from the space of solutions of superfluid dynamics to the long wavelength solutions of the Einstein Maxwell system. We obtain explicit expressions for the metric, gauge field and scalar field dual to an arbitrary superfluid flow at first order in the derivative expansion. Our construction allows us to read off the the leading dissipative corrections to the perfect superfluid stress tensor, current and Josephson equations. A general framework for dissipative superfluid dynamics was worked out by Landau and Lifshitz for zero superfluid velocity and generalized to nonzero fluid velocity by Clark and Putterman. Our gravitational results do not fit into the 13 parameter Clark-Putterman framework. Purely within fluid dynamics we present a consistent new generalization of Clark and Putterman's equations to a set of superfluid equations parameterized by 14 dissipative parameters. The results of our gravitational calculation fit perfectly into this enlarged framework. In particular we compute all the dissipative constants for the gravitational superfluid.
|
hep-th/9305122
| null |
Demosthenes Ellinas
|
Path Integrals for Quantum Algebras and the Classical Limit
|
12 pages,plain Latex, FTUV/93-7
|
J.Phys. A26 (1993) L543-L550
|
10.1088/0305-4470/26/12/011
| null |
hep-th
| null |
Coherent states path integral formalism for the simplest quantum algebras,
q-oscillator, SU_q(2) and SU_q(1,1) is introduced. In the classical limit
canonical structure is derived with modified symplectic and Riemannian metric.
Non-constant deformation induced curvature for the phase spaces is obtained.
|
[
{
"created": "Mon, 24 May 1993 19:12:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ellinas",
"Demosthenes",
""
]
] |
Coherent states path integral formalism for the simplest quantum algebras, q-oscillator, SU_q(2) and SU_q(1,1) is introduced. In the classical limit canonical structure is derived with modified symplectic and Riemannian metric. Non-constant deformation induced curvature for the phase spaces is obtained.
|
1606.09210
|
Erik Panzer
|
Mikhail Kompaniets, Erik Panzer
|
Renormalization group functions of $\phi^4$ theory in the MS-scheme to
six loops
|
computer readable ancillary file with the beta function and anomalous
dimensions
|
Proceedings of "Loops and Legs in Quantum Field Theory" (24-29
April 2016, Leipzig, Germany), PoS(LL2016)038
| null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Subdivergences constitute a major obstacle to the evaluation of Feynman
integrals and an expression in terms of finite quantities can be a considerable
advantage for both analytic and numeric calculations. We report on our
implementation of the suggestion by F. Brown and D. Kreimer, who proposed to
use a modified BPHZ scheme where all counterterms are single-scale integrals.
Paired with parametric integration via hyperlogarithms, this method is
particularly well suited for the computation of renormalization group functions
and easily automated. As an application of this approach we compute the 6-loop
beta function and anomalous dimensions of the $\phi^4$ model.
|
[
{
"created": "Wed, 29 Jun 2016 18:34:48 GMT",
"version": "v1"
}
] |
2017-01-12
|
[
[
"Kompaniets",
"Mikhail",
""
],
[
"Panzer",
"Erik",
""
]
] |
Subdivergences constitute a major obstacle to the evaluation of Feynman integrals and an expression in terms of finite quantities can be a considerable advantage for both analytic and numeric calculations. We report on our implementation of the suggestion by F. Brown and D. Kreimer, who proposed to use a modified BPHZ scheme where all counterterms are single-scale integrals. Paired with parametric integration via hyperlogarithms, this method is particularly well suited for the computation of renormalization group functions and easily automated. As an application of this approach we compute the 6-loop beta function and anomalous dimensions of the $\phi^4$ model.
|
1204.4192
|
Susanne Reffert
|
Simeon Hellerman, Domenico Orlando and Susanne Reffert
|
The Omega Deformation From String and M-Theory
|
LaTeX, 35 pages, 1 figure. Appendix on couplings of hypermultiplets
in N=4 SYM added
| null |
10.1007/JHEP07(2012)061
|
CERN-PH-TH/2012-090; IPMU12-0069
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a string theory construction of Omega-deformed four-dimensional
gauge theories with generic values of \epsilon_1 and \epsilon_2. Our solution
gives an explicit description of the geometry in the core of Nekrasov and
Witten's realization of the instanton partition function, far from the
asymptotic region of their background. This construction lifts naturally to
M-theory and corresponds to an M5-brane wrapped on a Riemann surface with a
selfdual flux. Via a 9-11 flip, we finally reinterpret the Omega deformation in
terms of non-commutative geometry. Our solution generates all modified
couplings of the \Omega-deformed gauge theory, and also yields a geometric
origin for the quantum spectral curve of the associated quantum integrable
system.
|
[
{
"created": "Wed, 18 Apr 2012 20:04:27 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2012 08:47:38 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] |
We present a string theory construction of Omega-deformed four-dimensional gauge theories with generic values of \epsilon_1 and \epsilon_2. Our solution gives an explicit description of the geometry in the core of Nekrasov and Witten's realization of the instanton partition function, far from the asymptotic region of their background. This construction lifts naturally to M-theory and corresponds to an M5-brane wrapped on a Riemann surface with a selfdual flux. Via a 9-11 flip, we finally reinterpret the Omega deformation in terms of non-commutative geometry. Our solution generates all modified couplings of the \Omega-deformed gauge theory, and also yields a geometric origin for the quantum spectral curve of the associated quantum integrable system.
|
1505.00221
|
Irene Valenzuela
|
S. Bielleman, L.E. Ibanez, F.G. Pedro, I. Valenzuela
|
Multifield Dynamics in Higgs-otic Inflation
|
35 pages, 11 figures
| null |
10.1007/JHEP01(2016)128
|
IFT-UAM/CSIC-15-042
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Higgs-otic inflation a complex neutral scalar combination of the $h^0$ and
$H^0$ MSSM Higgs fields plays the role of inflaton in a chaotic fashion. The
potential is protected from large trans-Planckian corrections at large inflaton
if the system is embedded in string theory so that the Higgs fields parametrize
a D-brane position. The inflaton potential is then given by a DBI+CS D-brane
action yielding an approximate linear behaviour at large field. The inflaton
scalar potential is a 2-field model with specific non-canonical kinetic terms.
Previous computations of the cosmological parameters (i.e. scalar and tensor
perturbations) did not take into account the full 2-field character of the
model, ignoring in particular the presence of isocurvature perturbations and
their coupling to the adiabatic modes. It is well known that for generic
2-field potentials such effects may significantly alter the observational
signatures of a given model. We perform a full analysis of adiabatic and
isocurvature perturbations in the Higgs-otic 2-field model. We show that the
predictivity of the model is increased compared to the adiabatic approximation.
Isocurvature perturbations moderately feed back into adiabatic fluctuations.
However, the isocurvature component is exponentially damped by the end of
inflation. The tensor to scalar ratio varies in a region $r=0.08-0.12$,
consistent with combined Planck/BICEP results.
|
[
{
"created": "Fri, 1 May 2015 17:07:43 GMT",
"version": "v1"
}
] |
2016-02-17
|
[
[
"Bielleman",
"S.",
""
],
[
"Ibanez",
"L. E.",
""
],
[
"Pedro",
"F. G.",
""
],
[
"Valenzuela",
"I.",
""
]
] |
In Higgs-otic inflation a complex neutral scalar combination of the $h^0$ and $H^0$ MSSM Higgs fields plays the role of inflaton in a chaotic fashion. The potential is protected from large trans-Planckian corrections at large inflaton if the system is embedded in string theory so that the Higgs fields parametrize a D-brane position. The inflaton potential is then given by a DBI+CS D-brane action yielding an approximate linear behaviour at large field. The inflaton scalar potential is a 2-field model with specific non-canonical kinetic terms. Previous computations of the cosmological parameters (i.e. scalar and tensor perturbations) did not take into account the full 2-field character of the model, ignoring in particular the presence of isocurvature perturbations and their coupling to the adiabatic modes. It is well known that for generic 2-field potentials such effects may significantly alter the observational signatures of a given model. We perform a full analysis of adiabatic and isocurvature perturbations in the Higgs-otic 2-field model. We show that the predictivity of the model is increased compared to the adiabatic approximation. Isocurvature perturbations moderately feed back into adiabatic fluctuations. However, the isocurvature component is exponentially damped by the end of inflation. The tensor to scalar ratio varies in a region $r=0.08-0.12$, consistent with combined Planck/BICEP results.
|
1010.0858
|
Hermann Boos
|
Hermann Boos
|
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz
for Excited States
| null |
SIGMA 7:007,2011
|
10.3842/SIGMA.2011.007
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We generalize the results of [Comm. Math. Phys. 299 (2010), 825-866,
arXiv:0911.3731] (hidden Grassmann structure IV) to the case of excited states
of the transfer matrix of the six-vertex model acting in the so-called
Matsubara direction. We establish an equivalence between a scaling limit of the
partition function of the six-vertex model on a cylinder with quasi-local
operators inserted and special boundary conditions, corresponding to
particle-hole excitations, on the one hand, and certain three-point correlation
functions of conformal field theory (CFT) on the other hand. As in hidden
Grassmann structure IV, the fermionic basis developed in previous papers and
its conformal limit are used for a description of the quasi-local operators. In
paper IV we claimed that in the conformal limit the fermionic creation
operators generate a basis equivalent to the basis of the descendant states in
the conformal field theory modulo integrals of motion suggested by A.
Zamolodchikov (1987). Here we argue that, in order to completely determine the
transformation between the above fermionic basis and the basis of descendants
in the CFT, we need to involve excitations. On the side of the lattice model we
use the excited-state TBA approach. We consider in detail the case of the
descendant at level 8.
|
[
{
"created": "Tue, 5 Oct 2010 12:16:04 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Nov 2010 12:05:19 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jan 2011 13:08:43 GMT",
"version": "v3"
}
] |
2015-03-17
|
[
[
"Boos",
"Hermann",
""
]
] |
We generalize the results of [Comm. Math. Phys. 299 (2010), 825-866, arXiv:0911.3731] (hidden Grassmann structure IV) to the case of excited states of the transfer matrix of the six-vertex model acting in the so-called Matsubara direction. We establish an equivalence between a scaling limit of the partition function of the six-vertex model on a cylinder with quasi-local operators inserted and special boundary conditions, corresponding to particle-hole excitations, on the one hand, and certain three-point correlation functions of conformal field theory (CFT) on the other hand. As in hidden Grassmann structure IV, the fermionic basis developed in previous papers and its conformal limit are used for a description of the quasi-local operators. In paper IV we claimed that in the conformal limit the fermionic creation operators generate a basis equivalent to the basis of the descendant states in the conformal field theory modulo integrals of motion suggested by A. Zamolodchikov (1987). Here we argue that, in order to completely determine the transformation between the above fermionic basis and the basis of descendants in the CFT, we need to involve excitations. On the side of the lattice model we use the excited-state TBA approach. We consider in detail the case of the descendant at level 8.
|
hep-th/0011024
|
Youm Donam
|
Donam Youm
|
Brane Cosmology in the Background of D-Brane with NS B Field
|
13 pages, LaTeX, revised version with minor corrections to appear in
Phys. Rev. D
|
Phys.Rev. D63 (2001) 125019
|
10.1103/PhysRevD.63.125019
|
IC/2000/167
|
hep-th astro-ph gr-qc
| null |
We study the cosmological evolution of the four-dimensional universe on the
probe D3-brane in geodesic motion in the curved background of the source
Dp-brane with non-zero NS B field. The Friedman equations describing the
expansion of the brane universe are obtained and analyzed for various limits.
We elaborate on corrections to the cosmological evolution due to nonzero NS B
field.
|
[
{
"created": "Mon, 6 Nov 2000 17:18:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2000 17:16:35 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Mar 2001 12:38:43 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Youm",
"Donam",
""
]
] |
We study the cosmological evolution of the four-dimensional universe on the probe D3-brane in geodesic motion in the curved background of the source Dp-brane with non-zero NS B field. The Friedman equations describing the expansion of the brane universe are obtained and analyzed for various limits. We elaborate on corrections to the cosmological evolution due to nonzero NS B field.
|
hep-th/0203092
|
Amit Loewy
|
Amit Loewy, Yaron Oz
|
Branes in Special Holonomy Backgrounds
|
13 pages, latex
|
Phys.Lett.B537:147-154,2002
|
10.1016/S0370-2693(02)01878-6
| null |
hep-th
| null |
We study the flow from the theory of D2-branes in a G2 holonomy background to
M2-branes in a Spin(7) holonomy background. We consider in detail the UV and IR
regimes, and the effect of topology change of the background on the field
theory. We conjecture a non-Abelian N=1 mirror symmetry.
|
[
{
"created": "Sun, 10 Mar 2002 15:17:36 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Loewy",
"Amit",
""
],
[
"Oz",
"Yaron",
""
]
] |
We study the flow from the theory of D2-branes in a G2 holonomy background to M2-branes in a Spin(7) holonomy background. We consider in detail the UV and IR regimes, and the effect of topology change of the background on the field theory. We conjecture a non-Abelian N=1 mirror symmetry.
|
hep-th/9808057
|
Kamran Saririan
|
Bayram Tekin, Kamran Saririan, and Yutaka Hosotani
|
Complex Monopoles in YM + Chern-Simons Theory in 3 Dimensions
|
10 pages, 5 Figures, LaTeX. To appear in the proceedings of
Quarks'98, Suzdal, Russia (May 18-24, 1998)
| null | null | null |
hep-th
| null |
In this talk, we give a brief discussion of complex monopole solutions in the
three dimensional Georgi-Glashow model with a Chern-Simons term. We find that
there exist complex monopole solutions of finite action. They dominate the path
integral and disorder the Higgs vacuum, but electric charges are not confined.
Subtleties in the model and issues related to Gribov copies are also noted.
|
[
{
"created": "Tue, 11 Aug 1998 02:28:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tekin",
"Bayram",
""
],
[
"Saririan",
"Kamran",
""
],
[
"Hosotani",
"Yutaka",
""
]
] |
In this talk, we give a brief discussion of complex monopole solutions in the three dimensional Georgi-Glashow model with a Chern-Simons term. We find that there exist complex monopole solutions of finite action. They dominate the path integral and disorder the Higgs vacuum, but electric charges are not confined. Subtleties in the model and issues related to Gribov copies are also noted.
|
2003.06398
|
Jun Zhang
|
Jun Zhang, Yi-Yu Lin, Hao-Chun Liang, Ke-Jia Chi, Chiang-Mei Chen,
Sang Pyo Kim and Jia-Rui Sun
|
Pair production from Reissner-Nordstr\"om-anti-de Sitter black holes
|
23pages, no figures
| null |
10.1088/1674-1137/abf4f6
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the pair production of charged scalar particles from the
five-dimensional near extremal Reissner- Nordstr\"om-Anti de Sitter (RN-AdS5)
black hole. The pair production rate and the absorption cross section ratio in
the full spacetime are obtained and are shown to have proportional relation
with their counterparts in the near horizon region. In addition, the
holographic descriptions of the pair production both in the IR CFT in the near
horizon region and the UV CFT at the asymptotic spatial boundary of the RN-AdS5
black hole are analyzed in the AdS2/CFT1and AdS5/CFT4correspondences,
respectively. This work gives a complete description of scalar pair production
in the near extremal RN-AdS5black hole.
|
[
{
"created": "Fri, 13 Mar 2020 17:36:49 GMT",
"version": "v1"
}
] |
2021-07-07
|
[
[
"Zhang",
"Jun",
""
],
[
"Lin",
"Yi-Yu",
""
],
[
"Liang",
"Hao-Chun",
""
],
[
"Chi",
"Ke-Jia",
""
],
[
"Chen",
"Chiang-Mei",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Sun",
"Jia-Rui",
""
]
] |
We study the pair production of charged scalar particles from the five-dimensional near extremal Reissner- Nordstr\"om-Anti de Sitter (RN-AdS5) black hole. The pair production rate and the absorption cross section ratio in the full spacetime are obtained and are shown to have proportional relation with their counterparts in the near horizon region. In addition, the holographic descriptions of the pair production both in the IR CFT in the near horizon region and the UV CFT at the asymptotic spatial boundary of the RN-AdS5 black hole are analyzed in the AdS2/CFT1and AdS5/CFT4correspondences, respectively. This work gives a complete description of scalar pair production in the near extremal RN-AdS5black hole.
|
1505.05820
|
Iva Lovrekovic
|
I. Lovrekovic
|
Canonical charges and asymptotic symmetries in four dimensional
conformal gravity
|
14 pages, Proceedings of the Corfu Summer Institute 2014 "School and
Workshops on Elementary Particle Physics and Gravity", 3-21 September 2014,
Corfu, Greece
|
PoS CORFU2014 (2015) 155
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate canonical charges in four dimensional conformal gravity using
the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We
show that the charges are finite and conserved. The asymptotic symmetry
algebras generated by these charges are classified according to the conditions
imposed on the first subleading term in the generalised Fefferman-Graham
expansion.
|
[
{
"created": "Thu, 21 May 2015 18:18:49 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Dec 2015 21:07:40 GMT",
"version": "v2"
}
] |
2016-01-05
|
[
[
"Lovrekovic",
"I.",
""
]
] |
We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras generated by these charges are classified according to the conditions imposed on the first subleading term in the generalised Fefferman-Graham expansion.
|
1007.4562
|
Stefano Cremonesi
|
Stefano Cremonesi
|
Type IIB construction of flavoured ABJ(M) and fractional M2 branes
|
38 pages, 17 figures; v2: references added; v3: abstract slightly
modified, discussion expanded with more emphasis on smooth Sasaki-Einstein
geometries. 41 pages, version published on JHEP
|
JHEP 1101:076,2011
|
10.1007/JHEP01(2011)076
|
TAUP-2917/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study type IIB brane configurations engineering 3d flavoured ABJ(M)
theories with Yang-Mills kinetic terms, which flow to IR fixed points
describing M2 branes at a class of toric Calabi-Yau fourfold singularities. The
type IIB construction provides a bridge between M-theory geometry and field
theory, and allows to identify the superconformal field theories with fixed
quiver diagram, Chern-Simons levels and superpotential, differing by the ranks
of the gauge groups, which we associate to dual AdS_4\timesY_7 backgrounds of
M-theory without or with torsion G-fluxes sourced by fractional M2 branes in
Y_7, when Y_7 is smooth. The analysis includes the Q^{1,1,1} and Y^{1,2}(CP^2)
geometries. We also comment on duality cascades and on the interplay between
torsion G-fluxes in M-theory and partial resolutions.
|
[
{
"created": "Mon, 26 Jul 2010 20:17:46 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Aug 2010 16:13:18 GMT",
"version": "v2"
},
{
"created": "Tue, 10 May 2011 15:37:59 GMT",
"version": "v3"
}
] |
2011-05-11
|
[
[
"Cremonesi",
"Stefano",
""
]
] |
We study type IIB brane configurations engineering 3d flavoured ABJ(M) theories with Yang-Mills kinetic terms, which flow to IR fixed points describing M2 branes at a class of toric Calabi-Yau fourfold singularities. The type IIB construction provides a bridge between M-theory geometry and field theory, and allows to identify the superconformal field theories with fixed quiver diagram, Chern-Simons levels and superpotential, differing by the ranks of the gauge groups, which we associate to dual AdS_4\timesY_7 backgrounds of M-theory without or with torsion G-fluxes sourced by fractional M2 branes in Y_7, when Y_7 is smooth. The analysis includes the Q^{1,1,1} and Y^{1,2}(CP^2) geometries. We also comment on duality cascades and on the interplay between torsion G-fluxes in M-theory and partial resolutions.
|
1701.00049
|
Shu-Heng Shao
|
Sabrina Pasterski, Shu-Heng Shao, Andrew Strominger
|
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
|
13 pages
|
Phys. Rev. D 96, 065026 (2017)
|
10.1103/PhysRevD.96.065026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the
two-dimensional (2D) global conformal group on the celestial sphere at infinity
where asymptotic 4D scattering states are specified. Consequent similarities of
4D flat space amplitudes and 2D correlators on the conformal sphere are
obscured by the fact that the former are usually expressed in terms of
asymptotic wavefunctions which transform simply under spacetime translations
rather than the Lorentz $SL(2,\mathbb{C})$. In this paper we construct on-shell
massive scalar wavefunctions in 4D Minkowski space that transform as
$SL(2,\mathbb{C})$ conformal primaries. Scattering amplitudes of these
wavefunctions are $SL(2,\mathbb{C})$ covariant by construction. For certain
mass relations, we show explicitly that their three-point amplitude reduces to
the known unique form of a 2D CFT primary three-point function and compute the
coefficient. The computation proceeds naturally via Witten-like diagrams on a
hyperbolic slicing of Minkowski space and has a holographic flavor.
|
[
{
"created": "Sat, 31 Dec 2016 01:53:26 GMT",
"version": "v1"
}
] |
2017-10-04
|
[
[
"Pasterski",
"Sabrina",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Strominger",
"Andrew",
""
]
] |
The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified. Consequent similarities of 4D flat space amplitudes and 2D correlators on the conformal sphere are obscured by the fact that the former are usually expressed in terms of asymptotic wavefunctions which transform simply under spacetime translations rather than the Lorentz $SL(2,\mathbb{C})$. In this paper we construct on-shell massive scalar wavefunctions in 4D Minkowski space that transform as $SL(2,\mathbb{C})$ conformal primaries. Scattering amplitudes of these wavefunctions are $SL(2,\mathbb{C})$ covariant by construction. For certain mass relations, we show explicitly that their three-point amplitude reduces to the known unique form of a 2D CFT primary three-point function and compute the coefficient. The computation proceeds naturally via Witten-like diagrams on a hyperbolic slicing of Minkowski space and has a holographic flavor.
|
1905.09602
|
Feodor A. Smirnov
|
C. Babenko and F. Smirnov
|
One point functions of fermionic operators in the Super Sine Gordon
model
|
34 pages, two figures
| null |
10.1016/j.nuclphysb.2019.114698
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the integrable structure of the space of local operators for the
supersymmetric sine-Gordon model. Namely, we conjecture that this space is
created by acting on the primary fields by fermions and a Kac-Moody current. We
proceed with the computation of the one-point functions. In the UV limit they
are shown to agree with the alternative results obtained by solving the
reflection relations.
|
[
{
"created": "Thu, 23 May 2019 11:56:21 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Babenko",
"C.",
""
],
[
"Smirnov",
"F.",
""
]
] |
We describe the integrable structure of the space of local operators for the supersymmetric sine-Gordon model. Namely, we conjecture that this space is created by acting on the primary fields by fermions and a Kac-Moody current. We proceed with the computation of the one-point functions. In the UV limit they are shown to agree with the alternative results obtained by solving the reflection relations.
|
1501.03313
|
Karl-Henning Rehren
|
Karl-Henning Rehren
|
Algebraic conformal quantum field theory in perspective
|
Review paper, 40 pages. v2: minor changes and references added, so as
to match published version
|
Advances in Algebraic Quantum Field Theory, Springer 2015, pp.
331-364
|
10.1007/978-3-319-21353-8_8
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal quantum field theory is reviewed in the perspective of Axiomatic,
notably Algebraic QFT. This theory is particularly developped in two spacetime
dimensions, where many rigorous constructions are possible, as well as some
complete classifications. The structural insights, analytical methods and
constructive tools are expected to be useful also for four-dimensional QFT.
|
[
{
"created": "Wed, 14 Jan 2015 11:10:19 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2015 08:06:36 GMT",
"version": "v2"
}
] |
2016-02-03
|
[
[
"Rehren",
"Karl-Henning",
""
]
] |
Conformal quantum field theory is reviewed in the perspective of Axiomatic, notably Algebraic QFT. This theory is particularly developped in two spacetime dimensions, where many rigorous constructions are possible, as well as some complete classifications. The structural insights, analytical methods and constructive tools are expected to be useful also for four-dimensional QFT.
|
1506.01212
|
Muhammad Junaid
|
M. Junaid and D. Pogosyan
|
Geometrical measures of non-Gaussianity generated from single field
Inflationary models
|
15 pages, 18 figures
| null |
10.1103/PhysRevD.92.043505
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have calculated the third order moments of scalar curvature perturbations
in configuration space for different inflationary models. We developed a robust
numerical technique to compute the bispectrum for different models that have
some features in the inflationary potential. From the bispectrum we evaluated
moments analytically in the slow roll regime while we devised a numerical
mechanism to calculated these moments for non slow roll single field
inflationary models with standard kinetic term that are minimally coupled to
gravity. With help of these third order moments one can directly predict many
non-Gaussian and geometrical measures of CBM distributions in the configuration
space. Thus, we have devised a framework to calculate different third order
moments and geometrical measures, e.g. Minkowski functionals or skeleton
statistic, generated by different single field models of inflation.
|
[
{
"created": "Wed, 3 Jun 2015 11:27:50 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2015 03:32:15 GMT",
"version": "v2"
}
] |
2015-08-26
|
[
[
"Junaid",
"M.",
""
],
[
"Pogosyan",
"D.",
""
]
] |
We have calculated the third order moments of scalar curvature perturbations in configuration space for different inflationary models. We developed a robust numerical technique to compute the bispectrum for different models that have some features in the inflationary potential. From the bispectrum we evaluated moments analytically in the slow roll regime while we devised a numerical mechanism to calculated these moments for non slow roll single field inflationary models with standard kinetic term that are minimally coupled to gravity. With help of these third order moments one can directly predict many non-Gaussian and geometrical measures of CBM distributions in the configuration space. Thus, we have devised a framework to calculate different third order moments and geometrical measures, e.g. Minkowski functionals or skeleton statistic, generated by different single field models of inflation.
|
0707.2712
|
Radu Tatar
|
Radu Tatar and Ben Wetenhall
|
Metastable Vacua and Complex Deformations
|
22 Pages, Latex
|
Phys.Rev.D76:126011,2007
|
10.1103/PhysRevD.76.126011
|
LTH/750
|
hep-th
| null |
We use the non-normalizable complex deformations to describe the stringy
realizations of the metastable vacua in N = 1, SU(N_c) SUSY theories with N_f >
N_c massive fundamental flavors. The consideration of the non-normalizable
deformations requires a modified Toric duality. The new approach considers the
tachyon condensation between pairs of wrapped D5 branes and anti D5 branes and
the resulting mixing between some cycles in the geometry. We enlarge the class
of metastable vacua to the case of branes-antibranes wrapped on cycles of
deformed A_n singularities.
|
[
{
"created": "Wed, 18 Jul 2007 12:27:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Tatar",
"Radu",
""
],
[
"Wetenhall",
"Ben",
""
]
] |
We use the non-normalizable complex deformations to describe the stringy realizations of the metastable vacua in N = 1, SU(N_c) SUSY theories with N_f > N_c massive fundamental flavors. The consideration of the non-normalizable deformations requires a modified Toric duality. The new approach considers the tachyon condensation between pairs of wrapped D5 branes and anti D5 branes and the resulting mixing between some cycles in the geometry. We enlarge the class of metastable vacua to the case of branes-antibranes wrapped on cycles of deformed A_n singularities.
|
hep-th/9905075
|
Horatiu Stefan Nastase
|
Horatiu Nastase, Diana Vaman and Peter van Nieuwenhuizen (ITP SUNY
Stony Brook)
|
Consistent nonlinear KK reduction of 11d supergravity on $AdS_7\times
S_4$ and self-duality in odd dimensions
|
9 pages, Latex, no figures; few changes in the abstract and
introduction, the noncovariant solution for the matrix U replaced with a
covariant solution, the dependence of the 11d antisymmetric tensor on the 7d
scalars modified, in particular some spherical harmonics $Y^A$ were dressed
with scalars
|
Phys.Lett. B469 (1999) 96-102
|
10.1016/S0370-2693(99)01266-6
| null |
hep-th
| null |
We show that there exists a consistent truncation of 11 dimensional
supergravity to the 'massless' fields of maximal (N=4) 7 dimensional gauged
supergravity. We find the complete expressions for the nonlinear embedding of
the 7 dimensional fields into the 11 dimensional fields, and check them by
reproducing the d=7 susy transformation laws from the d=11 laws in various
sectors. In particular we determine explicitly the matrix U which connects the
Killing spinors to the gravitinos in the KK ansatz, and the dependence of the
4-index field strength on the scalars. This is the first time a complete
nonlinear KK reduction of the original d=11 supergravity on a nontrivial
compact space has been explicitly given. We need a first order formulation for
the 3 index tensor field $A_{\Lambda\Pi\Sigma}$ in d=11 to reproduce the 7
dimensional result. The concept of 'self-duality in odd dimensions' is thus
shown to originate from first order formalism in higher dimensions. For the
AdS-CFT correspondence, our results imply that one can use 7d gauged
supergravity (without further massive modes) to compute certain correlators in
the d=6 (0,2) CFT at leading order in N. This eliminates an ambiguity in the
formulation of the correspondence.
|
[
{
"created": "Tue, 11 May 1999 16:47:01 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 1999 23:59:31 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Nov 1999 20:02:04 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Nastase",
"Horatiu",
"",
"ITP SUNY\n Stony Brook"
],
[
"Vaman",
"Diana",
"",
"ITP SUNY\n Stony Brook"
],
[
"van Nieuwenhuizen",
"Peter",
"",
"ITP SUNY\n Stony Brook"
]
] |
We show that there exists a consistent truncation of 11 dimensional supergravity to the 'massless' fields of maximal (N=4) 7 dimensional gauged supergravity. We find the complete expressions for the nonlinear embedding of the 7 dimensional fields into the 11 dimensional fields, and check them by reproducing the d=7 susy transformation laws from the d=11 laws in various sectors. In particular we determine explicitly the matrix U which connects the Killing spinors to the gravitinos in the KK ansatz, and the dependence of the 4-index field strength on the scalars. This is the first time a complete nonlinear KK reduction of the original d=11 supergravity on a nontrivial compact space has been explicitly given. We need a first order formulation for the 3 index tensor field $A_{\Lambda\Pi\Sigma}$ in d=11 to reproduce the 7 dimensional result. The concept of 'self-duality in odd dimensions' is thus shown to originate from first order formalism in higher dimensions. For the AdS-CFT correspondence, our results imply that one can use 7d gauged supergravity (without further massive modes) to compute certain correlators in the d=6 (0,2) CFT at leading order in N. This eliminates an ambiguity in the formulation of the correspondence.
|
1711.09639
|
Josip Trampetic Dr.
|
Stjepan Meljanac, Salvatore Mignemi, Josip Trampetic and Jiangyang You
|
UV/IR Mixing in Nonassociative Snyder phi^4 Theory
|
14 pages, 3 figures, version to be published in Phys. Rev. D
|
Phys. Rev. D 97, 055041 (2018)
|
10.1103/PhysRevD.97.055041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a quantization of the nonassociative and noncommutative Snyder phi^4
scalar field theory in a Hermitian realization, we present in this article
analytical formulas for the momentum-conserving part of the one-loop two-point
function of this theory in D-, 4-, and 3-dimensional Euclidean spaces, which
are exact with respect to the noncommutative deformation parameter beta. We
prove that these integrals are regularized by the Snyder deformation. These
results indicate that the Snyder deformation does partially regularize the UV
divergences of the undeformed theory, as it was proposed decades ago.
Furthermore, it is observed that different nonassociative phi^4 products can
generate different momentum-conserving integrals. Finally most importantly, a
logarithmic infrared divergence emerges in one of these interaction terms. We
then analyze sample momentum nonconserving integral qualitatively and show that
it could exhibit IR divergence too. Therefore infrared divergences should
exist, in general, in the Snyder phi^4 theory. We consider infrared divergences
at the limit p -> 0 as UV-IR mixings induced by nonassociativity, since they
are associated to the matching UV divergence in the zero-momentum limit and
appear in specific types of nonassociative phi^4 products. We also discuss the
extrapolation of the Snyder deformation parameter beta to negative values as
well as certain general properties of one-loop quantum corrections in Snyder
phi^4 theory at the zero-momentum limit.
|
[
{
"created": "Mon, 27 Nov 2017 12:07:53 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2018 21:03:51 GMT",
"version": "v2"
}
] |
2018-04-04
|
[
[
"Meljanac",
"Stjepan",
""
],
[
"Mignemi",
"Salvatore",
""
],
[
"Trampetic",
"Josip",
""
],
[
"You",
"Jiangyang",
""
]
] |
Using a quantization of the nonassociative and noncommutative Snyder phi^4 scalar field theory in a Hermitian realization, we present in this article analytical formulas for the momentum-conserving part of the one-loop two-point function of this theory in D-, 4-, and 3-dimensional Euclidean spaces, which are exact with respect to the noncommutative deformation parameter beta. We prove that these integrals are regularized by the Snyder deformation. These results indicate that the Snyder deformation does partially regularize the UV divergences of the undeformed theory, as it was proposed decades ago. Furthermore, it is observed that different nonassociative phi^4 products can generate different momentum-conserving integrals. Finally most importantly, a logarithmic infrared divergence emerges in one of these interaction terms. We then analyze sample momentum nonconserving integral qualitatively and show that it could exhibit IR divergence too. Therefore infrared divergences should exist, in general, in the Snyder phi^4 theory. We consider infrared divergences at the limit p -> 0 as UV-IR mixings induced by nonassociativity, since they are associated to the matching UV divergence in the zero-momentum limit and appear in specific types of nonassociative phi^4 products. We also discuss the extrapolation of the Snyder deformation parameter beta to negative values as well as certain general properties of one-loop quantum corrections in Snyder phi^4 theory at the zero-momentum limit.
|
1706.00232
|
Neil D. Lambert
|
Piotr Kucharski, Neil Lambert and Miles Owen
|
The (2,0) Superalgebra, Null M-branes and Hitchin's System
|
Errors in the supersymmetry transformations corrected
| null |
10.1007/JHEP10(2017)126
|
MTH-KCL/2017-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an interacting system of equations with sixteen supersymmetries
and an $SO(2)\times SO(6)$ R-symmetry where the fields depend on two space and
one null dimensions that is derived from a representation of the
six-dimensional (2,0) superalgebra. The system can be viewed as two M5-branes
compactified on $S^1_-\times {\mathbb T}^2$ or equivalently as M2-branes on
${\mathbb R}_+\times {\mathbb R}^2$, where $\pm$ refer to null directions. We
show that for a particular choice of fields the dynamics can be reduced to
motion on the moduli space of solutions to the Hitchin system. We argue that
this provides a description of intersecting null M2-branes and is also related
by U-duality to a DLCQ description of four-dimensional maximally supersymmetric
Yang-Mills.
|
[
{
"created": "Thu, 1 Jun 2017 09:56:51 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2017 21:42:35 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Aug 2018 21:40:41 GMT",
"version": "v3"
}
] |
2018-08-10
|
[
[
"Kucharski",
"Piotr",
""
],
[
"Lambert",
"Neil",
""
],
[
"Owen",
"Miles",
""
]
] |
We present an interacting system of equations with sixteen supersymmetries and an $SO(2)\times SO(6)$ R-symmetry where the fields depend on two space and one null dimensions that is derived from a representation of the six-dimensional (2,0) superalgebra. The system can be viewed as two M5-branes compactified on $S^1_-\times {\mathbb T}^2$ or equivalently as M2-branes on ${\mathbb R}_+\times {\mathbb R}^2$, where $\pm$ refer to null directions. We show that for a particular choice of fields the dynamics can be reduced to motion on the moduli space of solutions to the Hitchin system. We argue that this provides a description of intersecting null M2-branes and is also related by U-duality to a DLCQ description of four-dimensional maximally supersymmetric Yang-Mills.
|
1703.04614
|
Fabrizio Nieri
|
Rebecca Lodin, Fabrizio Nieri, Maxim Zabzine
|
Elliptic modular double and 4d partition functions
|
v1: 34 pages, 3 figures; v2: corrected few typos, references added
| null |
10.1088/1751-8121/aa9a2d
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider 4d supersymmetric (special) unitary $\Gamma$ quiver gauge
theories on compact manifolds which are $T^2$ fibrations over $S^2$. We show
that their partition functions are correlators of vertex operators and
screening charges of the modular double version of elliptic
$W_{q,t;q'}(\Gamma)$ algebras. We also consider a generating function of BPS
surface defects supported on $T^2$ and show that it can be identified with a
particular coherent state in the Fock module over the elliptic Heisenberg
algebra.
|
[
{
"created": "Tue, 14 Mar 2017 17:40:25 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2017 07:53:25 GMT",
"version": "v2"
}
] |
2018-01-17
|
[
[
"Lodin",
"Rebecca",
""
],
[
"Nieri",
"Fabrizio",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We consider 4d supersymmetric (special) unitary $\Gamma$ quiver gauge theories on compact manifolds which are $T^2$ fibrations over $S^2$. We show that their partition functions are correlators of vertex operators and screening charges of the modular double version of elliptic $W_{q,t;q'}(\Gamma)$ algebras. We also consider a generating function of BPS surface defects supported on $T^2$ and show that it can be identified with a particular coherent state in the Fock module over the elliptic Heisenberg algebra.
|
hep-th/0310046
|
Changrim Ahn
|
Changrim Ahn and Masayoshi Yamamoto
|
Boundary Action of N=2 Super-Liouville Theory
|
15 pages; One reference is added
|
Phys.Rev. D69 (2004) 026007
|
10.1103/PhysRevD.69.026007
| null |
hep-th
| null |
We derive a boundary action of N=2 super-Liouville theory which preserves
both N=2 supersymmetry and conformal symmetry by imposing explicitly $T={\bar
T}$ and $G={\bar G}$. The resulting boundary action shows a new duality
symmetry.
|
[
{
"created": "Mon, 6 Oct 2003 07:56:05 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2003 00:34:05 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Ahn",
"Changrim",
""
],
[
"Yamamoto",
"Masayoshi",
""
]
] |
We derive a boundary action of N=2 super-Liouville theory which preserves both N=2 supersymmetry and conformal symmetry by imposing explicitly $T={\bar T}$ and $G={\bar G}$. The resulting boundary action shows a new duality symmetry.
|
1412.3859
|
Omid Saremi
|
Omid Saremi
|
Monte Carlo Simulation of The Adjoint Coulomb Gas
|
17 pages, 9 figures, 3 references added
| null | null | null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Monte Carlo simulation results for unitary matrix quantum mechanics,
describing two-dimensional Yang-Mills theory coupled to a finite density of
non-dynamical quarks (adjoint Coulomb gas), are presented. We characterize the
deconfining transition in this model, by measuring the Polyakov Loop
Susceptibility and employing finite-size scaling analysis. We provide evidence
that the phase transition is first-order. Our results are consistent with the
outcome of earlier large-$N$ studies of the model.
|
[
{
"created": "Fri, 12 Dec 2014 00:02:36 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 21:38:25 GMT",
"version": "v2"
}
] |
2015-02-02
|
[
[
"Saremi",
"Omid",
""
]
] |
Monte Carlo simulation results for unitary matrix quantum mechanics, describing two-dimensional Yang-Mills theory coupled to a finite density of non-dynamical quarks (adjoint Coulomb gas), are presented. We characterize the deconfining transition in this model, by measuring the Polyakov Loop Susceptibility and employing finite-size scaling analysis. We provide evidence that the phase transition is first-order. Our results are consistent with the outcome of earlier large-$N$ studies of the model.
|
2109.07584
|
Ren\'e Pascal Klausen
|
Ren\'e Pascal Klausen
|
Kinematic singularities of Feynman integrals and principal
A-determinants
| null |
JHEP02 (2022) 004
|
10.1007/JHEP02(2022)004
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the analytic properties of Feynman integrals from the perspective
of general A-discriminants and A-hypergeometric functions introduced by
Gelfand,Kapranov and Zelevinsky (GKZ). This enables us, to give a clear and
mathematically rigour description of the singular locus, also known as Landau
variety, via principal A-determinants. We also comprise a description of the
various second type singularities. Moreover, by the
Horn-Kapranov-parametrization we give a very efficient way to calculate a
parametrization of Landau varieties. We furthermore present a new approach to
study the sheet structure of multivalued Feynman integrals by use of coamoebas.
|
[
{
"created": "Wed, 15 Sep 2021 21:28:44 GMT",
"version": "v1"
}
] |
2022-02-03
|
[
[
"Klausen",
"René Pascal",
""
]
] |
We consider the analytic properties of Feynman integrals from the perspective of general A-discriminants and A-hypergeometric functions introduced by Gelfand,Kapranov and Zelevinsky (GKZ). This enables us, to give a clear and mathematically rigour description of the singular locus, also known as Landau variety, via principal A-determinants. We also comprise a description of the various second type singularities. Moreover, by the Horn-Kapranov-parametrization we give a very efficient way to calculate a parametrization of Landau varieties. We furthermore present a new approach to study the sheet structure of multivalued Feynman integrals by use of coamoebas.
|
hep-th/9911202
|
Enrique Alvarez
|
Enrique Alvarez and C\'esar G\'omez
|
The Master Gauge String
|
LaTeX, 7 pages. Shortened and improved
| null | null |
IFT-UAM/CSIC-99-46
|
hep-th
| null |
A string background, which is in some precise sense {\em universal} (i.e.,
incorporating all orders in the Feynman diagram expansion), is proposed to
represent pure gauge theories. S-duality at the level of the string metric is
considered as well as the vacuum expectation values of 't Hooft and Wilson
loops in semiclassical approximation.
|
[
{
"created": "Thu, 25 Nov 1999 10:11:02 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jan 2000 13:29:37 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Gómez",
"César",
""
]
] |
A string background, which is in some precise sense {\em universal} (i.e., incorporating all orders in the Feynman diagram expansion), is proposed to represent pure gauge theories. S-duality at the level of the string metric is considered as well as the vacuum expectation values of 't Hooft and Wilson loops in semiclassical approximation.
|
1102.4509
|
Ali Davody
|
Ali Davody
|
Noncritical Holographic QCD in External Electric Field
|
17 pages, 5 figures, typos corrected and refs added
|
Nuclear PhysicsB 853 - 277-290-2011
|
10.1016/j.nuclphysb.2011.07.027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate behavior of a noncritical model in external electric field and
explore its phase structure in the quenched approximation N_f>> N_c. We compute
the conductivity of QCD plasma in this model and compare it with the
predictions of Sakai-Sugimoto model, D3-D7 system and the lattice simulation.
We find that, while the behavior of conductivity in noncritical model as a
function of temperature and baryon density is similar to those of D3-D7 system,
the phase diagram of noncritical model resembles the phase diagram of
Sakai-Sugimoto model.
|
[
{
"created": "Tue, 22 Feb 2011 14:02:52 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2011 17:02:31 GMT",
"version": "v2"
}
] |
2011-09-13
|
[
[
"Davody",
"Ali",
""
]
] |
We investigate behavior of a noncritical model in external electric field and explore its phase structure in the quenched approximation N_f>> N_c. We compute the conductivity of QCD plasma in this model and compare it with the predictions of Sakai-Sugimoto model, D3-D7 system and the lattice simulation. We find that, while the behavior of conductivity in noncritical model as a function of temperature and baryon density is similar to those of D3-D7 system, the phase diagram of noncritical model resembles the phase diagram of Sakai-Sugimoto model.
|
2403.12128
|
Pavel Putrov
|
Sergei Gukov, Pavel Putrov
|
On categorification of Stokes coefficients in Chern-Simons theory
|
79 pages, 27 figures
| null | null | null |
hep-th math-ph math.GT math.MP math.QA math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a finite-dimensional oscillatory integral which provides a
"finite-dimensional model" for analytically continued $SU(2)$ Chern-Simons
theory on closed 3-manifolds that are described by plumbing trees. This model
allows an efficient description of Stokes phenomenon for perturbative
expansions in Chern-Simons theory around classical solutions -
$SL(2,\mathbb{C})$ flat connections. Moreover, the Stokes coefficients can be
categorified, i.e. promoted to graded vector spaces, in terms of this
finite-dimensional model. At least naively, the categorification gives BPS
spectrum of 5d maximally supersymmetric Yang-Mills theory on the 3-manifold
times a line with appropriate boundary conditions. We also comment on necessity
of taking into account "flat connections at infinity" to capture Stokes
phenomenon for certain 3-manifolds.
|
[
{
"created": "Mon, 18 Mar 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-03-20
|
[
[
"Gukov",
"Sergei",
""
],
[
"Putrov",
"Pavel",
""
]
] |
We consider a finite-dimensional oscillatory integral which provides a "finite-dimensional model" for analytically continued $SU(2)$ Chern-Simons theory on closed 3-manifolds that are described by plumbing trees. This model allows an efficient description of Stokes phenomenon for perturbative expansions in Chern-Simons theory around classical solutions - $SL(2,\mathbb{C})$ flat connections. Moreover, the Stokes coefficients can be categorified, i.e. promoted to graded vector spaces, in terms of this finite-dimensional model. At least naively, the categorification gives BPS spectrum of 5d maximally supersymmetric Yang-Mills theory on the 3-manifold times a line with appropriate boundary conditions. We also comment on necessity of taking into account "flat connections at infinity" to capture Stokes phenomenon for certain 3-manifolds.
|
hep-th/9408053
|
Ashoke Sen
|
Ashoke Sen and Barton Zwiebach
|
Background Independent Algebraic Structures in Closed String Field
Theory
|
phyzzx.tex, MIT-CTP-2346
|
Commun.Math.Phys.177:305-326,1996
|
10.1007/BF02101895
| null |
hep-th
| null |
We construct a Batalin-Vilkovisky (BV) algebra on moduli spaces of Riemann
surfaces. This algebra is background independent in that it makes no reference
to a state space of a conformal field theory. Conformal theories define a
homomorphism of this algebra to the BV algebra of string functionals. The
construction begins with a graded-commutative free associative algebra $\C$
built from the vector space whose elements are orientable subspaces of moduli
spaces of punctured Riemann surfaces. The typical element here is a surface
with several connected components. The operation $\Delta$ of sewing two
punctures with a full twist is shown to be an odd, second order derivation that
squares to zero. It follows that $(\C, \Delta)$ is a Batalin-Vilkovisky
algebra. We introduce the odd operator $\delta = \partial + \hbar\Delta$, where
$\partial$ is the boundary operator. It is seen that $\delta^2=0$, and that
consistent closed string vertices define a cohomology class of $\delta$. This
cohomology class is used to construct a Lie algebra on a quotient space of
$\C$. This Lie algebra gives a manifestly background independent description of
a subalgebra of the closed string gauge algebra.
|
[
{
"created": "Tue, 9 Aug 1994 12:15:23 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Sen",
"Ashoke",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
We construct a Batalin-Vilkovisky (BV) algebra on moduli spaces of Riemann surfaces. This algebra is background independent in that it makes no reference to a state space of a conformal field theory. Conformal theories define a homomorphism of this algebra to the BV algebra of string functionals. The construction begins with a graded-commutative free associative algebra $\C$ built from the vector space whose elements are orientable subspaces of moduli spaces of punctured Riemann surfaces. The typical element here is a surface with several connected components. The operation $\Delta$ of sewing two punctures with a full twist is shown to be an odd, second order derivation that squares to zero. It follows that $(\C, \Delta)$ is a Batalin-Vilkovisky algebra. We introduce the odd operator $\delta = \partial + \hbar\Delta$, where $\partial$ is the boundary operator. It is seen that $\delta^2=0$, and that consistent closed string vertices define a cohomology class of $\delta$. This cohomology class is used to construct a Lie algebra on a quotient space of $\C$. This Lie algebra gives a manifestly background independent description of a subalgebra of the closed string gauge algebra.
|
hep-th/0205059
|
Heinrich Saller
|
Heinrich Saller (MPI fuer Physik)
|
Probability Collectives for Unstable Particles
|
18 pages, latex, macros included
|
Int.J.Theor.Phys. 41 (2002) 1491-1509
| null |
MPI-PhT/2002-16
|
hep-th
| null |
Unstable particles, together with their stable decay products, constitute
probability collectives which are defined as Hilbert spaces with dimension
higher than one, nondecomposable in a particle basis. Their structure is
considered in the framework of Birkhoff-von Neumann's Hilbert subspace
lattices. Bases with particle states are related to bases with a diagonal
scalar product by a Hilbert-bein involving the characteristic decay parameters
(in some analogy to the $n$-bein structures of metrical manifolds). Probability
predictions as expectation values, involving unstable particles, have to take
into account all members of the higher dimensional collective. E.g., the
unitarity structure of the $S$-matrix for an unstable particle collective can
be established by a transformation with its Hilbert-bein.
|
[
{
"created": "Tue, 7 May 2002 10:57:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Saller",
"Heinrich",
"",
"MPI fuer Physik"
]
] |
Unstable particles, together with their stable decay products, constitute probability collectives which are defined as Hilbert spaces with dimension higher than one, nondecomposable in a particle basis. Their structure is considered in the framework of Birkhoff-von Neumann's Hilbert subspace lattices. Bases with particle states are related to bases with a diagonal scalar product by a Hilbert-bein involving the characteristic decay parameters (in some analogy to the $n$-bein structures of metrical manifolds). Probability predictions as expectation values, involving unstable particles, have to take into account all members of the higher dimensional collective. E.g., the unitarity structure of the $S$-matrix for an unstable particle collective can be established by a transformation with its Hilbert-bein.
|
hep-th/9905144
|
Bandos Igor
|
Igor Bandos, Wolfgang Kummer
|
Current Density Distributions and a Supersymmetric Action for
Interacting Brane Systems
|
14 pages, latex, no figures
|
Phys.Lett.B462:254-264,1999
|
10.1016/S0370-2693(99)00928-4
|
TUW/99-09
|
hep-th
| null |
We propose a method to obtain a manifestly supersymmetric action functional
for interacting brane systems. It is based on the induced map of the
worldvolume of low-dimensional branes into the worldvolume of the space-time
filling brane ((D-1)-brane), which may be either dynamical or auxiliary, and
implies an identification of Grassmann coordinate fields of lower dimensional
branes with an image of the Grassmann coordinate fields of that (D-1)-brane.
With this identification the covariant current distribution forms with support
on the superbrane worldvolumes become invariant under the target space
supersymmetry and can be used to write the coupled superbrane action as an
integral over the D-dimensional manifolds ((D-1)-brane worldvolume). We compare
the equations derived from this new ('Goldstone fermion embedded') action with
the ones produced by a more straightforward generalization of the free brane
actions based on the incorporation of the boundary terms with Lagrange
multipliers ('superspace embedded' action). We find that both procedures
produce the same equations of motion and thus justify each other. Both actions
are presented explicitly for the coupled system of a D=10 super-D3-brane and a
fundamental superstring which ends on the super-D3-brane.
|
[
{
"created": "Wed, 19 May 1999 17:13:05 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Bandos",
"Igor",
""
],
[
"Kummer",
"Wolfgang",
""
]
] |
We propose a method to obtain a manifestly supersymmetric action functional for interacting brane systems. It is based on the induced map of the worldvolume of low-dimensional branes into the worldvolume of the space-time filling brane ((D-1)-brane), which may be either dynamical or auxiliary, and implies an identification of Grassmann coordinate fields of lower dimensional branes with an image of the Grassmann coordinate fields of that (D-1)-brane. With this identification the covariant current distribution forms with support on the superbrane worldvolumes become invariant under the target space supersymmetry and can be used to write the coupled superbrane action as an integral over the D-dimensional manifolds ((D-1)-brane worldvolume). We compare the equations derived from this new ('Goldstone fermion embedded') action with the ones produced by a more straightforward generalization of the free brane actions based on the incorporation of the boundary terms with Lagrange multipliers ('superspace embedded' action). We find that both procedures produce the same equations of motion and thus justify each other. Both actions are presented explicitly for the coupled system of a D=10 super-D3-brane and a fundamental superstring which ends on the super-D3-brane.
|
1903.00613
|
Avik Chakraborty
|
Avik Chakraborty
|
On the Complexity of a $2+1$--dimensional Holographic Superconductor
|
19 pages, 9 multicomponent figures; v2: typos fixed, references
added, to appear in Classical and Quantum Gravity
| null |
10.1088/1361-6382/ab6d09
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the results of our computation of the subregion complexity and
also compare it with the entanglement entropy of a $2+1$--dimensional
holographic superconductor which has a fully backreacted gravity dual with a
stable ground sate. We follow the "complexity equals volume" or the CV
conjecture. We find that there is only a single divergence for a strip
entangling surface and the complexity grows linearly with the large strip
width. During the normal phase the complexity increases with decreasing
temperature, but during the superconducting phase it behaves differently
depending on the order of phase transition. We also show that the universal
term is finite and the phase transition occurs at the same critical temperature
as obtained previously from the free energy computation of the system. In one
case, we observe multivaluedness in the complexity in the form of an "S" curve.
|
[
{
"created": "Sat, 2 Mar 2019 03:03:23 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2020 07:46:51 GMT",
"version": "v2"
}
] |
2020-04-08
|
[
[
"Chakraborty",
"Avik",
""
]
] |
We present the results of our computation of the subregion complexity and also compare it with the entanglement entropy of a $2+1$--dimensional holographic superconductor which has a fully backreacted gravity dual with a stable ground sate. We follow the "complexity equals volume" or the CV conjecture. We find that there is only a single divergence for a strip entangling surface and the complexity grows linearly with the large strip width. During the normal phase the complexity increases with decreasing temperature, but during the superconducting phase it behaves differently depending on the order of phase transition. We also show that the universal term is finite and the phase transition occurs at the same critical temperature as obtained previously from the free energy computation of the system. In one case, we observe multivaluedness in the complexity in the form of an "S" curve.
|
0801.0669
|
Bernd Kniehl
|
Bernd A. Kniehl, Alberto Sirlin
|
Pole Mass, Width, and Propagators of Unstable Fermions
|
9 pages
|
Phys.Rev.D77:116012,2008
|
10.1103/PhysRevD.77.116012
|
DESY 08-001, NYU-TH/08/01/04
|
hep-th hep-ph
| null |
The concepts of pole mass and width are extended to unstable fermions in the
general framework of parity-nonconserving gauge theories, such as the Standard
Model. In contrast with the conventional on-shell definitions, these concepts
are gauge independent and avoid severe unphysical singularities, properties of
great importance since most fundamental fermions in nature are unstable
particles. General expressions for the unrenormalized and renormalized dressed
propagators of unstable fermions and their field-renormalization constants are
presented.
|
[
{
"created": "Fri, 4 Jan 2008 12:13:43 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kniehl",
"Bernd A.",
""
],
[
"Sirlin",
"Alberto",
""
]
] |
The concepts of pole mass and width are extended to unstable fermions in the general framework of parity-nonconserving gauge theories, such as the Standard Model. In contrast with the conventional on-shell definitions, these concepts are gauge independent and avoid severe unphysical singularities, properties of great importance since most fundamental fermions in nature are unstable particles. General expressions for the unrenormalized and renormalized dressed propagators of unstable fermions and their field-renormalization constants are presented.
|
2009.08498
|
Mir Mehedi Faruk
|
Shahnewaz Ahmed and Mir Mehedi Faruk
|
Accelerated paths and Unruh effect I: scalars and fermions in Anti De
Sitter spacetime
|
35 pages, 6 figures
|
J. High Energ. Phys. 2021, 40 (2021)
|
10.1007/JHEP09(2021)040
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by
examining the response function of an Unruh-DeWitt particle detector with
uniform constant acceleration. An exact expression of the detector response
function for the scalar field has been obtained with different levels of
non-linearity in even dimensional AdS spacetime. We also showed how the
response of the accelerated Unruh detector coupled quadratically to massless
Dirac field in $D$ dimensional $(D \geq 2)$ AdS spacetime is proportional to
that of a detector linearly coupled to a massless scalar field in $2D$
dimensional AdS spacetime. Here, the fermionic and scalar matter field is
coupled minimally and conformally to the background AdS metric, respectively.
Finally, we discuss about the extension of the results for more general
stationary motion.
|
[
{
"created": "Thu, 17 Sep 2020 18:52:41 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2021 16:49:10 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Apr 2021 09:05:59 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Aug 2021 06:16:10 GMT",
"version": "v4"
}
] |
2021-09-14
|
[
[
"Ahmed",
"Shahnewaz",
""
],
[
"Faruk",
"Mir Mehedi",
""
]
] |
We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in $D$ dimensional $(D \geq 2)$ AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in $2D$ dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion.
|
1710.09629
|
Enore Guadagnini
|
Enore Guadagnini, Philippe Mathieu and Frank Thuillier
|
Flat connections in three-manifolds and classical Chern-Simons invariant
|
26 pages, 13 figures
| null |
10.1016/j.nuclphysb.2017.10.021
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general method for the construction of smooth flat connections on
3-manifolds is introduced. The procedure is strictly connected with the
deduction of the fundamental group of a manifold M by means of a Heegaard
splitting presentation of M. For any given matrix representation of the
fundamental group of M, a corresponding flat connection A on M is specified. It
is shown that the associated classical Chern-Simons invariant assumes then a
canonical form which is given by the sum of two contributions: the first term
is determined by the intersections of the curves in the Heegaard diagram, and
the second term is the volume of a region in the representation group which is
determined by the representation of pi_1(M) and by the Heegaard gluing
homeomorphism. Examples of flat connections in topologically nontrivial
manifolds are presented and the computations of the associated classical
Chern-Simons invariants are illustrated.
|
[
{
"created": "Thu, 26 Oct 2017 10:22:52 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Guadagnini",
"Enore",
""
],
[
"Mathieu",
"Philippe",
""
],
[
"Thuillier",
"Frank",
""
]
] |
A general method for the construction of smooth flat connections on 3-manifolds is introduced. The procedure is strictly connected with the deduction of the fundamental group of a manifold M by means of a Heegaard splitting presentation of M. For any given matrix representation of the fundamental group of M, a corresponding flat connection A on M is specified. It is shown that the associated classical Chern-Simons invariant assumes then a canonical form which is given by the sum of two contributions: the first term is determined by the intersections of the curves in the Heegaard diagram, and the second term is the volume of a region in the representation group which is determined by the representation of pi_1(M) and by the Heegaard gluing homeomorphism. Examples of flat connections in topologically nontrivial manifolds are presented and the computations of the associated classical Chern-Simons invariants are illustrated.
|
1905.03798
|
Mario Herrero-Valea
|
Andrei O. Barvinsky, Mario Herrero-Valea and Sergey M. Sibiryakov
|
Towards the renormalization group flow of Horava gravity in $(3+1)$
dimensions
|
24 pages
|
Phys. Rev. D 100, 026012 (2019)
|
10.1103/PhysRevD.100.026012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the renormalization group running of the Newton constant and the
parameter $\lambda$ in $(3+1)$-dimensional projectable Horava gravity. We use
the background field method expanding around configurations with flat spatial
metric, but non-vanishing shift. This allows us to reduce the number of
interaction vertices and thereby drastically simplify the calculations. The
gauge invariant $\beta$-function of $\lambda$ has two families of zeros,
attractive in the infrared and ultraviolet respectively. They are candidates
for the fixed points of the full renormalization group flow of the theory, once
the $\beta$-functions for the rest of the couplings are added.
|
[
{
"created": "Thu, 9 May 2019 18:01:53 GMT",
"version": "v1"
}
] |
2019-07-31
|
[
[
"Barvinsky",
"Andrei O.",
""
],
[
"Herrero-Valea",
"Mario",
""
],
[
"Sibiryakov",
"Sergey M.",
""
]
] |
We compute the renormalization group running of the Newton constant and the parameter $\lambda$ in $(3+1)$-dimensional projectable Horava gravity. We use the background field method expanding around configurations with flat spatial metric, but non-vanishing shift. This allows us to reduce the number of interaction vertices and thereby drastically simplify the calculations. The gauge invariant $\beta$-function of $\lambda$ has two families of zeros, attractive in the infrared and ultraviolet respectively. They are candidates for the fixed points of the full renormalization group flow of the theory, once the $\beta$-functions for the rest of the couplings are added.
|
hep-th/9801158
|
George Papadopoulos
|
Eric Bergshoeff, George Papadopoulos and Jan Pieter van der Schaar
|
Domain Walls on the Brane
|
18 pages, Tex, uses phyzzx
|
Phys.Lett.B430:63-70,1998
|
10.1016/S0370-2693(98)00499-7
|
UG-1/98, R/98/03
|
hep-th
| null |
We show that all branes admit worldvolume domain wall solutions. We find one
class of solutions for which the tension of the brane changes discontinuously
along the domain wall. These solutions are not supersymmetric. We argue that
there is another class of domain wall solutions which is supersymmetric. A
particular case concerns supersymmetric domain wall solutions on IIB D-5- and
NS-5-branes.
|
[
{
"created": "Fri, 23 Jan 1998 16:35:08 GMT",
"version": "v1"
}
] |
2009-10-09
|
[
[
"Bergshoeff",
"Eric",
""
],
[
"Papadopoulos",
"George",
""
],
[
"van der Schaar",
"Jan Pieter",
""
]
] |
We show that all branes admit worldvolume domain wall solutions. We find one class of solutions for which the tension of the brane changes discontinuously along the domain wall. These solutions are not supersymmetric. We argue that there is another class of domain wall solutions which is supersymmetric. A particular case concerns supersymmetric domain wall solutions on IIB D-5- and NS-5-branes.
|
2010.09880
|
Freida Rivera
|
Felix Kling, Arvind Rajaraman, Freida Liz Rivera
|
New Solutions for Rotating Boson Stars
|
9 pages, 2 figures
|
Phys. Rev. D 103, 075020 (2021)
|
10.1103/PhysRevD.103.075020
|
UCI-TR-2020-16
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been shown that scalar fields can form gravitationally bound compact
objects called boson stars. In this study, we analyze boson star configurations
where the scalar fields contain a small amount of angular momentum and find two
new classes of solutions. In the first case all particles are in the same
slowly rotating state and in the second case the majority of particles are in
the non-rotating ground state and a small number of particles are in an excited
rotating state. In both cases, we solve the underlying Gross-Pitaevskii-Poisson
equations that describe the profile of these compact objects both numerically
as well as analytically through series expansions.
|
[
{
"created": "Mon, 19 Oct 2020 21:32:31 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Oct 2020 18:45:57 GMT",
"version": "v2"
}
] |
2021-04-28
|
[
[
"Kling",
"Felix",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Rivera",
"Freida Liz",
""
]
] |
It has been shown that scalar fields can form gravitationally bound compact objects called boson stars. In this study, we analyze boson star configurations where the scalar fields contain a small amount of angular momentum and find two new classes of solutions. In the first case all particles are in the same slowly rotating state and in the second case the majority of particles are in the non-rotating ground state and a small number of particles are in an excited rotating state. In both cases, we solve the underlying Gross-Pitaevskii-Poisson equations that describe the profile of these compact objects both numerically as well as analytically through series expansions.
|
1210.2369
|
Francisco A. Brito
|
F. A. Brito, M. S. Guimaraes, E. Passos, P. Sampaio, C. Wotzasek
|
The 4D-2D projection of Lorentz-violating Myers-Pospelov QED
|
7 pages, no figures, Latex
| null |
10.1103/PhysRevD.86.105036
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the four-dimensional quantum electrodynamics extended with
Myers-Pospelov Lorentz-violating dimension-5 operators to investigate 4D-2D
projection. In projecting out the 4D theory down to a 2D theory we get analogs
of these operators. Namely, we obtain a new two-dimensional theory with
corresponding scalar and fermionic 2D Myers-Pospelov Lorentz-violating
dimension-3 operators. New defect structures can also be found from this new
projected out 2D scalar sector. Furthermore, we also show that this 2D scalar
sector can be also radiatively induced through the new 2D fermionic sector.
|
[
{
"created": "Mon, 8 Oct 2012 18:21:53 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Brito",
"F. A.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Passos",
"E.",
""
],
[
"Sampaio",
"P.",
""
],
[
"Wotzasek",
"C.",
""
]
] |
We consider the four-dimensional quantum electrodynamics extended with Myers-Pospelov Lorentz-violating dimension-5 operators to investigate 4D-2D projection. In projecting out the 4D theory down to a 2D theory we get analogs of these operators. Namely, we obtain a new two-dimensional theory with corresponding scalar and fermionic 2D Myers-Pospelov Lorentz-violating dimension-3 operators. New defect structures can also be found from this new projected out 2D scalar sector. Furthermore, we also show that this 2D scalar sector can be also radiatively induced through the new 2D fermionic sector.
|
2312.12249
|
Matheus Ara\'ujo Marques
|
I. Andrade, M.A. Marques and R. Menezes
|
Flat and bent branes in Born-Infeld-like scalar field models
|
9 pages, 7 figures; to appear in EPJC
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigate the presence of thick branes modeled by a single
scalar field with Born-Infeld-like dynamics. We consider the 4-dimensional
metric being Minkowski, de Sitter or anti-de Sitter. We obtain the field
equations and the conditions to get a first order formalism compatible with
them. To illustrate our procedure, some specific models are presented. They
support localized warp factor and have their properties controlled by the
4-dimensional cosmological constant. In particular, a hybrid brane may arise,
with a thick or thin profile depending on the extra dimension being inside or
outside a compact space.
|
[
{
"created": "Tue, 19 Dec 2023 15:33:19 GMT",
"version": "v1"
}
] |
2023-12-20
|
[
[
"Andrade",
"I.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] |
In this work, we investigate the presence of thick branes modeled by a single scalar field with Born-Infeld-like dynamics. We consider the 4-dimensional metric being Minkowski, de Sitter or anti-de Sitter. We obtain the field equations and the conditions to get a first order formalism compatible with them. To illustrate our procedure, some specific models are presented. They support localized warp factor and have their properties controlled by the 4-dimensional cosmological constant. In particular, a hybrid brane may arise, with a thick or thin profile depending on the extra dimension being inside or outside a compact space.
|
2308.09163
|
Evgeniy Kurianovych
|
Evgeniy Kurianovych and Mikhail Shifman
|
$U(1)$ Defects on Domain Lines
|
18 pages, 6 figures
| null | null |
FTPI-MINN-23-14, UMN-TH-4222/23
|
hep-th cond-mat.mes-hall nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on recent experimental results, we give field-theoretic description of
$U(1)$ defects localized on the domain lines on thin films. We describe
topology of our model and solve this model in the adiabatic approximation. It
turns out that such a model naturally provides periodic structure observed in
experiment. The effective theory turns out to be the sine-Gordon model, but
unlike the previous theoretical considerations we argue that in this case it is
favorable for sine-Gordon kinks to merge into one defect with a uniform
winding. We consider a system of adjacent domain lines and anti-lines and
explain the experimental fact that the appearance of defects on a domain line
prevents defect creation on the adjacent anti-lines. We also quantize the model
and investigate possible effects of finite transverse dimension of the film.
|
[
{
"created": "Thu, 17 Aug 2023 19:39:48 GMT",
"version": "v1"
}
] |
2023-08-21
|
[
[
"Kurianovych",
"Evgeniy",
""
],
[
"Shifman",
"Mikhail",
""
]
] |
Based on recent experimental results, we give field-theoretic description of $U(1)$ defects localized on the domain lines on thin films. We describe topology of our model and solve this model in the adiabatic approximation. It turns out that such a model naturally provides periodic structure observed in experiment. The effective theory turns out to be the sine-Gordon model, but unlike the previous theoretical considerations we argue that in this case it is favorable for sine-Gordon kinks to merge into one defect with a uniform winding. We consider a system of adjacent domain lines and anti-lines and explain the experimental fact that the appearance of defects on a domain line prevents defect creation on the adjacent anti-lines. We also quantize the model and investigate possible effects of finite transverse dimension of the film.
|
0902.2245
|
Paul Heslop
|
Charalampos Anastasiou, Andreas Brandhuber, Paul Heslop, Valentin V.
Khoze, Bill Spence and Gabriele Travaglini
|
Two-Loop Polygon Wilson Loops in N=4 SYM
|
54 pages, 13 figures. v4: minor typo in the definition of the hard
integral corrected v3: references added, minor corrections. v2: typos
corrected, one reference added
|
JHEP 0905:115,2009
|
10.1088/1126-6708/2009/05/115
|
IPPP/09/03, DCPT/09/06, QMUL-PH-09-01
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute for the first time the two-loop corrections to arbitrary n-gon
lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient
numerical methods. The calculation is motivated by the remarkable agreement
between the finite part of planar six-point MHV amplitudes and hexagon Wilson
loops which has been observed at two loops. At n=6 we confirm that the ABDK/BDS
ansatz must be corrected by adding a remainder function, which depends only on
conformally invariant ratios of kinematic variables. We numerically compute
remainder functions for n=7,8 and verify dual conformal invariance.
Furthermore, we study simple and multiple collinear limits of the Wilson loop
remainder functions and demonstrate that they have precisely the form required
by the collinear factorisation of the corresponding two-loop n-point
amplitudes. The number of distinct diagram topologies contributing to the n-gon
Wilson loops does not increase with n, and there is a fixed number of "master
integrals", which we have computed. Thus we have essentially computed general
polygon Wilson loops, and if the correspondence with amplitudes continues to
hold, all planar n-point two-loop MHV amplitudes in the N=4 theory.
|
[
{
"created": "Fri, 13 Feb 2009 16:18:13 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2009 20:56:18 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Mar 2009 13:09:09 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Jun 2010 12:52:45 GMT",
"version": "v4"
}
] |
2010-06-29
|
[
[
"Anastasiou",
"Charalampos",
""
],
[
"Brandhuber",
"Andreas",
""
],
[
"Heslop",
"Paul",
""
],
[
"Khoze",
"Valentin V.",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
]
] |
We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between the finite part of planar six-point MHV amplitudes and hexagon Wilson loops which has been observed at two loops. At n=6 we confirm that the ABDK/BDS ansatz must be corrected by adding a remainder function, which depends only on conformally invariant ratios of kinematic variables. We numerically compute remainder functions for n=7,8 and verify dual conformal invariance. Furthermore, we study simple and multiple collinear limits of the Wilson loop remainder functions and demonstrate that they have precisely the form required by the collinear factorisation of the corresponding two-loop n-point amplitudes. The number of distinct diagram topologies contributing to the n-gon Wilson loops does not increase with n, and there is a fixed number of "master integrals", which we have computed. Thus we have essentially computed general polygon Wilson loops, and if the correspondence with amplitudes continues to hold, all planar n-point two-loop MHV amplitudes in the N=4 theory.
|
2102.01111
|
Irene Valenzuela
|
Marieke van Beest, Jos\'e Calder\'on-Infante, Delaram Mirfendereski,
Irene Valenzuela
|
Lectures on the Swampland Program in String Compactifications
|
71 pages, 27 figures; v2: typos corrected, references added
| null |
10.1016/j.physrep.2022.09.002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Swampland program aims to determine the constraints that an effective
field theory must satisfy to be consistent with a UV embedding in a quantum
gravity theory. Different proposals have been formulated in the form of
Swampland conjectures. In these lecture notes, we provide a pedagogical
introduction to the most important Swampland conjectures, their connections and
their realization in string theory compactifications. The notes are based on
the series of lectures given by Irene Valenzuela at the online QFT and Geometry
summer school in July 2020.
|
[
{
"created": "Mon, 1 Feb 2021 19:10:40 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2021 11:09:15 GMT",
"version": "v2"
}
] |
2022-10-26
|
[
[
"van Beest",
"Marieke",
""
],
[
"Calderón-Infante",
"José",
""
],
[
"Mirfendereski",
"Delaram",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
The Swampland program aims to determine the constraints that an effective field theory must satisfy to be consistent with a UV embedding in a quantum gravity theory. Different proposals have been formulated in the form of Swampland conjectures. In these lecture notes, we provide a pedagogical introduction to the most important Swampland conjectures, their connections and their realization in string theory compactifications. The notes are based on the series of lectures given by Irene Valenzuela at the online QFT and Geometry summer school in July 2020.
|
hep-th/9809093
|
Enore Guadagnini
|
R. Benedetti and E. Guadagnini
|
Classical Teichmuller theory and (2+1) gravity
|
11 pages, latex
|
Phys.Lett. B441 (1998) 60-68
|
10.1016/S0370-2693(98)01156-3
|
IFUP-TH. 28/98
|
hep-th
| null |
We consider classical Teichmuller theory and the geodesic flow on the
cotangent bundle of the Teichmuller space. We show that the corresponding
orbits provide a canonical description of certain (2+1) gravity systems in
which a set of point-like particles evolve in universes with topology S_g x R
where S_g is a Riemann surface of genus g >1. We construct an explicit York's
slicing presentation of the associated spacetimes, we give an interpretation of
the asymptotic states in terms of measured foliations and discuss the structure
of the phase spaces.
|
[
{
"created": "Mon, 14 Sep 1998 14:43:56 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Benedetti",
"R.",
""
],
[
"Guadagnini",
"E.",
""
]
] |
We consider classical Teichmuller theory and the geodesic flow on the cotangent bundle of the Teichmuller space. We show that the corresponding orbits provide a canonical description of certain (2+1) gravity systems in which a set of point-like particles evolve in universes with topology S_g x R where S_g is a Riemann surface of genus g >1. We construct an explicit York's slicing presentation of the associated spacetimes, we give an interpretation of the asymptotic states in terms of measured foliations and discuss the structure of the phase spaces.
|
hep-th/9702091
|
Stephen Pinsky
|
Stephen Pinsky (Ohio State University)
|
Wilson Loop on a Light-Cone Cylinder
|
7 pages, RevTex
| null | null | null |
hep-th
| null |
QCD without matter and quantized on a light-cone spatial cylinder is
considered. For the gauge group SU(N) the theory has N-1 quantum mechanical
degrees of freedom, which describe the color fux that circulates around the the
spatial cylinder. In 1+1 dimensions this problem can be solved analytically. I
use the solution for SU(2) to compute the Wilson loop phase on the surface of
the cylinder and find that it is equal to g^2 area/4. This result is different
from the well known result for flat space. I argue that for SU(N) the Wilson
loop phase for a contour on a light-cone spatial cylinder is g^2(area) (N-1)/4.
The underlying reason for this result is that only the N-1 dimensional Cartan
subgroup of SU(N) is dynamical in this problem.
|
[
{
"created": "Tue, 11 Feb 1997 17:16:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pinsky",
"Stephen",
"",
"Ohio State University"
]
] |
QCD without matter and quantized on a light-cone spatial cylinder is considered. For the gauge group SU(N) the theory has N-1 quantum mechanical degrees of freedom, which describe the color fux that circulates around the the spatial cylinder. In 1+1 dimensions this problem can be solved analytically. I use the solution for SU(2) to compute the Wilson loop phase on the surface of the cylinder and find that it is equal to g^2 area/4. This result is different from the well known result for flat space. I argue that for SU(N) the Wilson loop phase for a contour on a light-cone spatial cylinder is g^2(area) (N-1)/4. The underlying reason for this result is that only the N-1 dimensional Cartan subgroup of SU(N) is dynamical in this problem.
|
hep-th/9705078
|
Juan Maldacena
|
Juan M. Maldacena
|
Black Holes and D-branes
|
13 pages, 2 figures
|
Nucl.Phys.Proc.Suppl. 61A (1998) 111-123; Nucl.Phys.Proc.Suppl. 62
(1998) 428-442
|
10.1016/S0920-5632(97)00684-1
|
RU-97-32
|
hep-th
| null |
D-branes have been used to describe many properties of extremal and near
extremal black holes. These lecture notes provide a short review of these
developments.
|
[
{
"created": "Mon, 12 May 1997 22:25:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Maldacena",
"Juan M.",
""
]
] |
D-branes have been used to describe many properties of extremal and near extremal black holes. These lecture notes provide a short review of these developments.
|
1602.07287
|
Lavinia Heisenberg
|
Jose Beltran Jimenez, Lavinia Heisenberg and Tomi S. Koivisto
|
Cosmology for quadratic gravity in generalized Weyl geometry
|
20 pages, 5 figures
| null |
10.1088/1475-7516/2016/04/046
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A class of vector-tensor theories arises naturally in the framework of
quadratic gravity in spacetimes with linear vector distortion. Requiring the
absence of ghosts for the vector field imposes an interesting condition on the
allowed connections with vector distortion: the resulting one-parameter family
of connections generalises the usual Weyl geometry with polar torsion. The
cosmology of this class of theories is studied, focusing on isotropic solutions
wherein the vector field is dominated by the temporal component. De Sitter
attractors are found and inhomogeneous perturbations around such backgrounds
are analysed. In particular, further constraints on the models are imposed by
excluding pathologies in the scalar, vector and tensor fluctuations. Various
exact background solutions are presented, describing a constant and an evolving
dark energy, a bounce and a self-tuning de Sitter phase. However, the latter
two scenarios are not viable under a closer scrutiny.
|
[
{
"created": "Tue, 23 Feb 2016 20:19:45 GMT",
"version": "v1"
}
] |
2016-05-04
|
[
[
"Jimenez",
"Jose Beltran",
""
],
[
"Heisenberg",
"Lavinia",
""
],
[
"Koivisto",
"Tomi S.",
""
]
] |
A class of vector-tensor theories arises naturally in the framework of quadratic gravity in spacetimes with linear vector distortion. Requiring the absence of ghosts for the vector field imposes an interesting condition on the allowed connections with vector distortion: the resulting one-parameter family of connections generalises the usual Weyl geometry with polar torsion. The cosmology of this class of theories is studied, focusing on isotropic solutions wherein the vector field is dominated by the temporal component. De Sitter attractors are found and inhomogeneous perturbations around such backgrounds are analysed. In particular, further constraints on the models are imposed by excluding pathologies in the scalar, vector and tensor fluctuations. Various exact background solutions are presented, describing a constant and an evolving dark energy, a bounce and a self-tuning de Sitter phase. However, the latter two scenarios are not viable under a closer scrutiny.
|
1407.6024
|
Arash Arabi Ardehali
|
Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski
|
$c-a$ from the $N=1$ superconformal index
|
19 pages. v2: minor changes, reference added. v3: minor
clarifications, published version. v4: a typo in Table 2 fixed
|
JHEP 2014 (12), 145
|
10.1007/JHEP12(2014)145
|
MCTP-14-23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a prescription for obtaining the difference of the central
charges, c-a, of a four dimensional superconformal quantum field theory from
its single-trace index. The formula is derived from a one-loop holographic
computation, but is expected to be valid independent of holography. We
demonstrate the prescription with several holographic and non-holographic
examples. As an application of our formula, we show the AdS/CFT matching of c-a
for arbitrary toric quiver CFTs without adjoint matter that are dual to smooth
Sasaki-Einstein 5-manifolds.
|
[
{
"created": "Tue, 22 Jul 2014 20:12:42 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2014 20:48:52 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jan 2015 10:57:24 GMT",
"version": "v3"
},
{
"created": "Fri, 10 Jul 2015 21:29:01 GMT",
"version": "v4"
}
] |
2015-07-14
|
[
[
"Ardehali",
"Arash Arabi",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] |
We present a prescription for obtaining the difference of the central charges, c-a, of a four dimensional superconformal quantum field theory from its single-trace index. The formula is derived from a one-loop holographic computation, but is expected to be valid independent of holography. We demonstrate the prescription with several holographic and non-holographic examples. As an application of our formula, we show the AdS/CFT matching of c-a for arbitrary toric quiver CFTs without adjoint matter that are dual to smooth Sasaki-Einstein 5-manifolds.
|
2010.10446
|
Chiung Hwang
|
Chiung Hwang, Sara Pasquetti, Matteo Sacchi
|
Flips, dualities and symmetry enhancements
|
54 pages, 5 figures; v2: published version
| null |
10.1007/JHEP05(2021)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present various 4d $\mathcal{N}=1$ theories enjoying IR global symmetry
enhancement. The models we consider have the $USp(2n)$ gauge group, 8
fundamental, one antisymmetric chirals and various numbers of gauge singlets.
By suitably turning on superpotential deformations involving the singlets which
break part of the UV symmetry we flow to SCFTs with $E_6$, $SO(10)$, $SO(9)$,
$SO(8)$ and $F_4$ IR global symmetry. We explain these patterns of symmetry
enhancement following two arguments due to Razamat, Sela and Zafrir. The first
one involves the study of the relations satisfied by marginal operators, while
the second one relies on the existence of self-duality frames.
|
[
{
"created": "Tue, 20 Oct 2020 17:02:15 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2021 23:14:03 GMT",
"version": "v2"
}
] |
2021-06-02
|
[
[
"Hwang",
"Chiung",
""
],
[
"Pasquetti",
"Sara",
""
],
[
"Sacchi",
"Matteo",
""
]
] |
We present various 4d $\mathcal{N}=1$ theories enjoying IR global symmetry enhancement. The models we consider have the $USp(2n)$ gauge group, 8 fundamental, one antisymmetric chirals and various numbers of gauge singlets. By suitably turning on superpotential deformations involving the singlets which break part of the UV symmetry we flow to SCFTs with $E_6$, $SO(10)$, $SO(9)$, $SO(8)$ and $F_4$ IR global symmetry. We explain these patterns of symmetry enhancement following two arguments due to Razamat, Sela and Zafrir. The first one involves the study of the relations satisfied by marginal operators, while the second one relies on the existence of self-duality frames.
|
1908.01717
|
Ali Chamseddine
|
Ali H. Chamseddine, Viatcheslav Mukhanov and Tobias B. Russ
|
Mimetic Horava Gravity
|
8 pages, comments about renormalizability of the model added. Matches
version to be published in Physics Letters B
| null |
10.1016/j.physletb.2019.134939
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the scalar field of mimetic gravity could be used to construct
diffeomorphism invariant models that reduce to Horava gravity in the
synchronous gauge. The gradient of the mimetic field provides a timelike unit
vector field that allows to define a projection operator of four-dimensional
tensors to three-dimensional spatial tensors. Conversely, it also enables us to
write quantities invariant under space diffeomorphisms in fully covariant form
without the need to introduce new propagating degrees of freedom.
|
[
{
"created": "Mon, 5 Aug 2019 16:49:18 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Sep 2019 16:50:45 GMT",
"version": "v2"
}
] |
2019-09-20
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Mukhanov",
"Viatcheslav",
""
],
[
"Russ",
"Tobias B.",
""
]
] |
We show that the scalar field of mimetic gravity could be used to construct diffeomorphism invariant models that reduce to Horava gravity in the synchronous gauge. The gradient of the mimetic field provides a timelike unit vector field that allows to define a projection operator of four-dimensional tensors to three-dimensional spatial tensors. Conversely, it also enables us to write quantities invariant under space diffeomorphisms in fully covariant form without the need to introduce new propagating degrees of freedom.
|
hep-th/0404181
|
Y. M. Cho
|
Y. M. Cho, B. S. Park, P. M. Zhang
|
New Interpretation of Skyrme Theory
|
33 pages, 7 figures
|
Int.J.Mod.Phys.A23:267-298,2008
|
10.1142/S0217751X0803886X
|
YMC-06-02
|
hep-th
| null |
Based on the proposal that the Skyrme theory is a theory of monopole we
provide a new interpretation of Skyrme theory, that the theory can also be
viewed as an effective theory of strong interaction which is dual to QCD, where
the monopoles (not the quarks) are confined through the Meissner effect. This
dual picture leads us to predict the existence of a topological glueball in
QCD, a chromoelectric knot which is dual to the chromomagnetic Faddeev-Niemi
knot in Skyrme theory, whose mass and decay width are estimated to be around
$60 GeV$ and $8 GeV$. As importantly, the existence of the magnetic vortex and
the magnetic vortex ring in Skyrme theory strongly indicates that the theory
could also be interpreted to describe a very interesting low energy condensed
matter physics in a completely different environment. These new interpretations
of Skyrme theory puts the theory in a totally new perspective.
|
[
{
"created": "Fri, 23 Apr 2004 07:31:47 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 16:48:59 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Mar 2006 06:53:07 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Cho",
"Y. M.",
""
],
[
"Park",
"B. S.",
""
],
[
"Zhang",
"P. M.",
""
]
] |
Based on the proposal that the Skyrme theory is a theory of monopole we provide a new interpretation of Skyrme theory, that the theory can also be viewed as an effective theory of strong interaction which is dual to QCD, where the monopoles (not the quarks) are confined through the Meissner effect. This dual picture leads us to predict the existence of a topological glueball in QCD, a chromoelectric knot which is dual to the chromomagnetic Faddeev-Niemi knot in Skyrme theory, whose mass and decay width are estimated to be around $60 GeV$ and $8 GeV$. As importantly, the existence of the magnetic vortex and the magnetic vortex ring in Skyrme theory strongly indicates that the theory could also be interpreted to describe a very interesting low energy condensed matter physics in a completely different environment. These new interpretations of Skyrme theory puts the theory in a totally new perspective.
|
1107.2523
|
Glib Ivashkevych
|
V. P. Berezovoj, M. I. Konchatnij
|
Dynamics of localized states in extended supersymmetric quantum
mechanics with multi-well potentials
| null | null |
10.1088/1751-8113/45/22/225302
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we propose a self--consistent approach to the description of
temporal dynamics of localized states. This approach is based on exactly
solvable quantum mechanical models with multi-well potentials and their
propagators. States of Hamiltonians with multi-well potentials form a suitable
basis for the expansion of wave packets with different shapes and localization
degrees. We also consider properties of the tunneling wave packets, taking into
account all states of Hamiltonians with symmetric and asymmetric potentials, as
well as their dependence on the degree of localization and deformations of
potentials. The study of the dynamics of initially localized states shows that
application of the two-state approximation for the description of tunneling is
considerably limited, especially for systems, which have several states in the
under-barrier region, as for example in modern superconducting quantum
interference devices and traps for cold atoms.
|
[
{
"created": "Wed, 13 Jul 2011 11:10:12 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 10:07:47 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Nov 2011 10:52:07 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Berezovoj",
"V. P.",
""
],
[
"Konchatnij",
"M. I.",
""
]
] |
In this paper we propose a self--consistent approach to the description of temporal dynamics of localized states. This approach is based on exactly solvable quantum mechanical models with multi-well potentials and their propagators. States of Hamiltonians with multi-well potentials form a suitable basis for the expansion of wave packets with different shapes and localization degrees. We also consider properties of the tunneling wave packets, taking into account all states of Hamiltonians with symmetric and asymmetric potentials, as well as their dependence on the degree of localization and deformations of potentials. The study of the dynamics of initially localized states shows that application of the two-state approximation for the description of tunneling is considerably limited, especially for systems, which have several states in the under-barrier region, as for example in modern superconducting quantum interference devices and traps for cold atoms.
|
1203.1939
|
Constantin Candu
|
Constantin Candu and Matthias R. Gaberdiel
|
Supersymmetric holography on AdS3
|
25 pages, 3 figures, improved fig. 3
| null |
10.1007/JHEP09(2013)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The proposed duality between Vasiliev's supersymmetric higher spin theory on
AdS3 and the 't Hooft limit of the 2d superconformal Kazama-Suzuki models is
analysed in detail. In particular, we show that the partition functions of the
two theories agree in the large N limit.
|
[
{
"created": "Thu, 8 Mar 2012 21:41:27 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2013 08:42:32 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Candu",
"Constantin",
""
],
[
"Gaberdiel",
"Matthias R.",
""
]
] |
The proposed duality between Vasiliev's supersymmetric higher spin theory on AdS3 and the 't Hooft limit of the 2d superconformal Kazama-Suzuki models is analysed in detail. In particular, we show that the partition functions of the two theories agree in the large N limit.
|
1408.2419
|
De-Cheng Zou
|
De-Cheng Zou, Yunqi Liu, Bin Wang and Wei Xu
|
Thermodynamics of rotating black holes with scalar hair in three
dimensions
|
15 pages, 4 figures, minor changes, To be published in Phys. Rev. D
| null |
10.1103/PhysRevD.90.104035
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Introducing a new form of scalar potential $V(\phi)$, we derive a proper form
of the rotating black hole solution in three-dimensional Einstein gravity with
nonminimally coupled scalar field and find that the first law of thermodynamics
of this new rotating hairy black hole can be protected, where the scalar field
parameter $B$ is constrained to relate to the black hole size. We also disclose
the Hawking-Page phase transition between this rotating hairy black holes and
the pure thermal radiation. Moreover, we study phase transitions between this
rotating hairy black hole and rotating BTZ black hole. Considering the
matchings for the temperature and angular momentum, we find that the rotating
BTZ black hole always has smaller free energy which is a thermodynamically more
preferred phase. Additionally, we evaluate the thermodynamics of the rotating
black hole with minimally coupled scalar hair in three dimensions, which
exhibits that the thermodynamical behaviors of this rotating hairy black hole
are very similar to those of the rotating black hole with nonminimally coupled
scalar hair.
|
[
{
"created": "Mon, 11 Aug 2014 14:28:36 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Nov 2014 01:34:05 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Zou",
"De-Cheng",
""
],
[
"Liu",
"Yunqi",
""
],
[
"Wang",
"Bin",
""
],
[
"Xu",
"Wei",
""
]
] |
Introducing a new form of scalar potential $V(\phi)$, we derive a proper form of the rotating black hole solution in three-dimensional Einstein gravity with nonminimally coupled scalar field and find that the first law of thermodynamics of this new rotating hairy black hole can be protected, where the scalar field parameter $B$ is constrained to relate to the black hole size. We also disclose the Hawking-Page phase transition between this rotating hairy black holes and the pure thermal radiation. Moreover, we study phase transitions between this rotating hairy black hole and rotating BTZ black hole. Considering the matchings for the temperature and angular momentum, we find that the rotating BTZ black hole always has smaller free energy which is a thermodynamically more preferred phase. Additionally, we evaluate the thermodynamics of the rotating black hole with minimally coupled scalar hair in three dimensions, which exhibits that the thermodynamical behaviors of this rotating hairy black hole are very similar to those of the rotating black hole with nonminimally coupled scalar hair.
|
hep-th/0110196
|
Alexander Polyakov
|
A.M. Polyakov
|
Gauge Fields and Space-Time
|
20 pages
|
Int.J.Mod.Phys. A17S1 (2002) 119-136
|
10.1142/S0217751X02013071
|
PUPT-2010
|
hep-th
| null |
In this article I attempt to collect some ideas,opinions and formulae which
may be useful in solving the problem of gauge/ string / space-time
correspondence This includes the validity of D-brane representation, counting
of gauge-invariant words, relations between the null states and the Yang-Mills
equations and the discussion of the strong coupling limit of the string sigma
model. The article is based on the talk given at the "Odyssey 2001" conference.
|
[
{
"created": "Sun, 21 Oct 2001 20:44:04 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Polyakov",
"A. M.",
""
]
] |
In this article I attempt to collect some ideas,opinions and formulae which may be useful in solving the problem of gauge/ string / space-time correspondence This includes the validity of D-brane representation, counting of gauge-invariant words, relations between the null states and the Yang-Mills equations and the discussion of the strong coupling limit of the string sigma model. The article is based on the talk given at the "Odyssey 2001" conference.
|
hep-th/0111005
|
Liu Zhao
|
Liu Zhao, Wenli He
|
Boundary Poisson structure and quantization
|
revtex4, 1 eps figure included, typos corrected
|
Commun.Theor.Phys. 38 (2002) 429-432
|
10.1088/0253-6102/38/4/429
| null |
hep-th
| null |
A new approach for treating boundary Poisson structures based on causality
and locality analysis is proposed for a single scalar field with boundary
interaction. For the case of linear boundary condition, it is shown that the
usual canonical quantization can be applied systematically.
|
[
{
"created": "Thu, 1 Nov 2001 01:48:12 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2001 03:41:21 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Nov 2001 03:33:22 GMT",
"version": "v3"
}
] |
2018-01-17
|
[
[
"Zhao",
"Liu",
""
],
[
"He",
"Wenli",
""
]
] |
A new approach for treating boundary Poisson structures based on causality and locality analysis is proposed for a single scalar field with boundary interaction. For the case of linear boundary condition, it is shown that the usual canonical quantization can be applied systematically.
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.