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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1404.3739 | Fotis Farakos | Fotis Farakos and Rikard von Unge | Naturalness and Chaotic Inflation in Supergravity from Massive Vector
Multiplets | 15 pages, version accepted in JHEP | null | 10.1007/JHEP08(2014)168 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the embedding of the quadratic model of chaotic inflation into the
4D, N=1 minimal theories of supergravity by the use of massive vector
multiplets and investigate its robustness against higher order corrections. In
particular, we investigate the criterion of technical naturalness for the
inflaton potential. In the framework of the new-minimal formulation the massive
vector multiplet is built in terms of a real linear multiplet coupled to a
vector multiplet via the 4D analog of the Green-Schwarz term. This theory gives
rise to a single-field quadratic model of chaotic inflation, which is protected
by an shift symmetry which naturally suppresses the higher order corrections.
The embedding in the old-minimal formulation is again achieved in terms of a
massive vector multiplet and also gives rise to single-field inflation.
Nevertheless in this case there is no obvious symmetry to protect the model
from higher order corrections.
| [
{
"created": "Mon, 14 Apr 2014 20:00:48 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2014 18:32:01 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Apr 2014 14:54:49 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Aug 2014 15:27:31 GMT",
"version": "v4"
}
] | 2015-06-19 | [
[
"Farakos",
"Fotis",
""
],
[
"von Unge",
"Rikard",
""
]
] | We study the embedding of the quadratic model of chaotic inflation into the 4D, N=1 minimal theories of supergravity by the use of massive vector multiplets and investigate its robustness against higher order corrections. In particular, we investigate the criterion of technical naturalness for the inflaton potential. In the framework of the new-minimal formulation the massive vector multiplet is built in terms of a real linear multiplet coupled to a vector multiplet via the 4D analog of the Green-Schwarz term. This theory gives rise to a single-field quadratic model of chaotic inflation, which is protected by an shift symmetry which naturally suppresses the higher order corrections. The embedding in the old-minimal formulation is again achieved in terms of a massive vector multiplet and also gives rise to single-field inflation. Nevertheless in this case there is no obvious symmetry to protect the model from higher order corrections. |
hep-th/9610123 | Carlos Naon | M.V. Manias, C.M. Naon and M.L. Trobo | Factored coset approach to bosonization in the context of topological
backgrounds and massive fermions | 10 pages, latex, no figures, To appear in Mod.Phys.Lett.A | Mod.Phys.Lett. A12 (1997) 1283-1289 | 10.1142/S0217732397001291 | La Plata 96-03 | hep-th | null | We consider a recently proposed approach to bosonization in which the
original fermionic partition function is expressed as a product of a
$G/G$-coset model and a bosonic piece that contains the dynamics. In particular
we show how the method works when topological backgrounds are taken into
account. We also discuss the application of this technique to the case of
massive fermions.
| [
{
"created": "Wed, 16 Oct 1996 19:33:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Manias",
"M. V.",
""
],
[
"Naon",
"C. M.",
""
],
[
"Trobo",
"M. L.",
""
]
] | We consider a recently proposed approach to bosonization in which the original fermionic partition function is expressed as a product of a $G/G$-coset model and a bosonic piece that contains the dynamics. In particular we show how the method works when topological backgrounds are taken into account. We also discuss the application of this technique to the case of massive fermions. |
hep-th/0307293 | Vishnu Jejjala | Yang-Hui He, Vishnu Jejjala | Modular Matrix Models | 30 pages, 1 Figure; LaTeX; v.2 adds two references | null | null | UPR-1048-T, VPI-IPPAP-03-12 | hep-th | null | Inspired by a formal resemblance of certain q-expansions of modular forms and
the master field formalism of matrix models in terms of Cuntz operators, we
construct a Hermitian one-matrix model, which we dub the ``modular matrix
model.'' Together with an N=1 gauge theory and a special Calabi-Yau geometry,
we find a modular matrix model that naturally encodes the Klein elliptic
j-invariant, and hence, by Moonshine, the irreducible representations of the
Fischer-Griess Monster group.
| [
{
"created": "Wed, 30 Jul 2003 20:20:22 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 2003 19:23:55 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
]
] | Inspired by a formal resemblance of certain q-expansions of modular forms and the master field formalism of matrix models in terms of Cuntz operators, we construct a Hermitian one-matrix model, which we dub the ``modular matrix model.'' Together with an N=1 gauge theory and a special Calabi-Yau geometry, we find a modular matrix model that naturally encodes the Klein elliptic j-invariant, and hence, by Moonshine, the irreducible representations of the Fischer-Griess Monster group. |
hep-th/0405162 | Chaiho Rim | Chaiho Rim | Boundary massive sine-Gordon model at the free Fermi limit and RG flow
of Casimir energy | Latex 20 pages, 23 figures (23 eps files) | null | null | null | hep-th | null | RG flow of central charge $c_{\rm eff}$ is investigated for the two boundary
sine-Gordon model at the free Fermi limit. Thermodynamic Bethe ansatz approach
is used to check the non-monotonic decreasing properties of $c_{\rm eff}$, its
resonance, and the modification of $c_{\rm eff}$ due to the mismatch of the
periodicity of a Lagrangian parameter and that of the boundary scattering
parameter. The detailed analysis uses the singularity structure of the system
on the complex rapidity plane.
| [
{
"created": "Wed, 19 May 2004 10:05:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rim",
"Chaiho",
""
]
] | RG flow of central charge $c_{\rm eff}$ is investigated for the two boundary sine-Gordon model at the free Fermi limit. Thermodynamic Bethe ansatz approach is used to check the non-monotonic decreasing properties of $c_{\rm eff}$, its resonance, and the modification of $c_{\rm eff}$ due to the mismatch of the periodicity of a Lagrangian parameter and that of the boundary scattering parameter. The detailed analysis uses the singularity structure of the system on the complex rapidity plane. |
2407.03715 | Flavio Tonioni | C\'edric Debusschere, Flavio Tonioni, Thomas Van Riet | A distance conjecture beyond moduli? | 8+1 pages and references, comments welcome! | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The distance conjecture states that for theories with moduli coupled to
gravity a tower of states becomes light exponentially in the geodesic distance
in moduli space. This specifies how effective field theories break down for
large field values. However, phenomenological field theories have no moduli,
but a scalar potential that deforms dynamical trajectories away from geodesic
curves. In this note we speculate on how one should generalise the distance
conjecture to include a scalar potential. We test the generalised distance
conjecture in a few cases, demonstrate a link with pseudo-/fake supersymmetry
and apply it to the ekpyrotic scenario in cosmology. For the latter we observe
that the pre-uplift KKLT potential could provide a stringy embedding of
ekpyrosis away from the asymptotic regimes in field space.
| [
{
"created": "Thu, 4 Jul 2024 08:02:44 GMT",
"version": "v1"
}
] | 2024-07-08 | [
[
"Debusschere",
"Cédric",
""
],
[
"Tonioni",
"Flavio",
""
],
[
"Van Riet",
"Thomas",
""
]
] | The distance conjecture states that for theories with moduli coupled to gravity a tower of states becomes light exponentially in the geodesic distance in moduli space. This specifies how effective field theories break down for large field values. However, phenomenological field theories have no moduli, but a scalar potential that deforms dynamical trajectories away from geodesic curves. In this note we speculate on how one should generalise the distance conjecture to include a scalar potential. We test the generalised distance conjecture in a few cases, demonstrate a link with pseudo-/fake supersymmetry and apply it to the ekpyrotic scenario in cosmology. For the latter we observe that the pre-uplift KKLT potential could provide a stringy embedding of ekpyrosis away from the asymptotic regimes in field space. |
1507.03574 | Sang-A Park | Seungjoon Hyun, Jaehoon Jeong, Sang-A Park, Sang-Heon Yi | Scaling symmetry and scalar hairy Lifshitz black holes | 1+22 pages, plain LaTex; v2: minor improvements, fixed typos; v3
version to appear in JHEP | JHEP 10 (2015) 105 | 10.1007/JHEP10(2015)105 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By utilizing the scaling symmetry of the reduced action for planar black
holes, we obtain the corresponding conserved charge. We use the conserved
charge to find the generalized Smarr relation of static hairy planar black
holes in various dimensions. Our results not only reproduce the relation in the
various known cases but also give the new relation in the Lifshitz planar black
holes with the scalar hair.
| [
{
"created": "Mon, 13 Jul 2015 19:59:44 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2015 10:54:39 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Oct 2015 04:50:55 GMT",
"version": "v3"
}
] | 2015-10-19 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Jeong",
"Jaehoon",
""
],
[
"Park",
"Sang-A",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | By utilizing the scaling symmetry of the reduced action for planar black holes, we obtain the corresponding conserved charge. We use the conserved charge to find the generalized Smarr relation of static hairy planar black holes in various dimensions. Our results not only reproduce the relation in the various known cases but also give the new relation in the Lifshitz planar black holes with the scalar hair. |
hep-th/9711093 | Mariano Cadoni | M. Cadoni | Dualities Compositeness and Spacetime Structure of 4d Extreme Stringy
Black Holes | 17 pages, LaTex, no figures | Int.J.Mod.Phys.A14:1015-1034,1999 | 10.1142/S0217751X99000506 | INFNCA-TH9719 | hep-th gr-qc | null | We study the BPS black hole solutions of the (truncated) action for heterotic
string theory compactified on a six-torus. The O(3,Z) duality symmetry of the
theory, together with the bound state interpretation of extreme black holes, is
used to generate the whole spectrum of the solutions. The corresponding
spacetime structures, written in terms of the string metric, are analyzed in
detail. In particular, we show that only the elementary solutions present naked
singularities. The bound states have either null singularities (electric
solutions) or are regular (magnetic or dyonic solutions) with near-horizon
geometries given by the product of two 2d spaces of constant curvature. The
behavior of some of these solutions as supersymmetric attractors is discussed.
We also show that our approach is very useful to understand some of the
puzzling features of charged black hole solutions in string theory.
| [
{
"created": "Thu, 13 Nov 1997 08:37:07 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Cadoni",
"M.",
""
]
] | We study the BPS black hole solutions of the (truncated) action for heterotic string theory compactified on a six-torus. The O(3,Z) duality symmetry of the theory, together with the bound state interpretation of extreme black holes, is used to generate the whole spectrum of the solutions. The corresponding spacetime structures, written in terms of the string metric, are analyzed in detail. In particular, we show that only the elementary solutions present naked singularities. The bound states have either null singularities (electric solutions) or are regular (magnetic or dyonic solutions) with near-horizon geometries given by the product of two 2d spaces of constant curvature. The behavior of some of these solutions as supersymmetric attractors is discussed. We also show that our approach is very useful to understand some of the puzzling features of charged black hole solutions in string theory. |
hep-th/9501033 | Adel Bilal | Adel Bilal | NON-LOCAL EXTENSIONS OF THE CONFORMAL ALGEBRA : MATRIX $W$-ALGEBRAS,
MATRIX KdV-HIERARCHIES AND NON-ABELIAN TODA THEORIES, | 30 pages, uses phyzzx, lecture given at the "59. Rencontre de
Strasbourg" | null | null | LPTENS-95/1 | hep-th | null | In the present contribution, I report on certain {\it non-linear} and {\it
non-local} extensions of the conformal (Virasoro) algebra. These so-called
$V$-algebras are matrix generalizations of $W$-algebras. First, in the context
of two-dimensional field theory, I discuss the non-abelian Toda model which
possesses three conserved (chiral) ``currents". The Poisson brackets of these
``currents" give the simplest example of a $V$-algebra. The classical solutions
of this model provide a free-field realization of the $V$-algebra. Then I show
that this $V$-algebra is identical to the second Gelfand-Dikii symplectic
structure on the manifold of $2\times 2$-matrix Schr\"odinger operators
$L=-\d^2+U$ (with $\tr\sigma_3 U=0$). This provides a relation with matrix
KdV-hierarchies and allows me to obtain an infinite family of conserved charges
(Hamiltonians in involution). Finally, I work out the general
$V_{n,m}$-algebras as symplectic structures based on $n\times n$-matrix $m^{\rm
th}$-order differential operators $L=-\d^m +U_2\d^{m-2}+U_3 \d^{m-3}+\ldots
+U_m$. It is the absence of $U_1$, together with the non-commutativity of
matrices that leads to the non-local terms in the $V_{n,m}$-algebras. I show
that the conformal properties are similar to those of $W_m$-algebras, while the
complete $V_{n,m}$-algebras are much more complicated, as is shown on the
explicit example of $V_{n,3}$.
| [
{
"created": "Wed, 11 Jan 1995 12:37:03 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Bilal",
"Adel",
""
]
] | In the present contribution, I report on certain {\it non-linear} and {\it non-local} extensions of the conformal (Virasoro) algebra. These so-called $V$-algebras are matrix generalizations of $W$-algebras. First, in the context of two-dimensional field theory, I discuss the non-abelian Toda model which possesses three conserved (chiral) ``currents". The Poisson brackets of these ``currents" give the simplest example of a $V$-algebra. The classical solutions of this model provide a free-field realization of the $V$-algebra. Then I show that this $V$-algebra is identical to the second Gelfand-Dikii symplectic structure on the manifold of $2\times 2$-matrix Schr\"odinger operators $L=-\d^2+U$ (with $\tr\sigma_3 U=0$). This provides a relation with matrix KdV-hierarchies and allows me to obtain an infinite family of conserved charges (Hamiltonians in involution). Finally, I work out the general $V_{n,m}$-algebras as symplectic structures based on $n\times n$-matrix $m^{\rm th}$-order differential operators $L=-\d^m +U_2\d^{m-2}+U_3 \d^{m-3}+\ldots +U_m$. It is the absence of $U_1$, together with the non-commutativity of matrices that leads to the non-local terms in the $V_{n,m}$-algebras. I show that the conformal properties are similar to those of $W_m$-algebras, while the complete $V_{n,m}$-algebras are much more complicated, as is shown on the explicit example of $V_{n,3}$. |
hep-th/9812251 | Bert Schroer | B. Schroer and H.-W. Wiesbrock (FU-Berlin, Germany) | Modular Constructions of Quantum Field Theories with Interactions | 25 pages tcilatex, errors corrected and the relation of light ray
reductions of factorizable models explained in more details | Rev.Math.Phys. 12 (2000) 301-326 | null | null | hep-th math-ph math.MP | null | We extend the previously introduced constructive modular method to
nonperturbative QFT. In particular the relevance of the concept of ``quantum
localization'' (via intersection of algebras) versus classical locality (via
support properties of test functions) is explained in detail, the wedge
algebras are constructed rigorously and the formal aspects of double cone
algebras for d=1+1 factorizing theories are determined. The well-known on-shell
crossing symmetry of the S-Matrix and of formfactors (cyclicity relation) in
such theories is intimately related to the KMS properties of new quantum-local
PFG (one-particle polarization-free generators) of these wedge algebras. These
generators are ``on-shell'' and their Fourier transforms turn out to fulfill
the Zamolodchikov-Faddeev algebra. As the wedge algebras contain the crossing
symmetry informations, the double cone algebras reveal the particle content of
fields. Modular theory associates with this double cone algebra two very useful
chiral conformal quantum field theories which are the algebraic versions of the
light ray algebras.
| [
{
"created": "Thu, 31 Dec 1998 14:30:26 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jan 1999 14:21:36 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Schroer",
"B.",
"",
"FU-Berlin, Germany"
],
[
"Wiesbrock",
"H. -W.",
"",
"FU-Berlin, Germany"
]
] | We extend the previously introduced constructive modular method to nonperturbative QFT. In particular the relevance of the concept of ``quantum localization'' (via intersection of algebras) versus classical locality (via support properties of test functions) is explained in detail, the wedge algebras are constructed rigorously and the formal aspects of double cone algebras for d=1+1 factorizing theories are determined. The well-known on-shell crossing symmetry of the S-Matrix and of formfactors (cyclicity relation) in such theories is intimately related to the KMS properties of new quantum-local PFG (one-particle polarization-free generators) of these wedge algebras. These generators are ``on-shell'' and their Fourier transforms turn out to fulfill the Zamolodchikov-Faddeev algebra. As the wedge algebras contain the crossing symmetry informations, the double cone algebras reveal the particle content of fields. Modular theory associates with this double cone algebra two very useful chiral conformal quantum field theories which are the algebraic versions of the light ray algebras. |
hep-th/0202187 | Asad Naqvi | Vijay Balasubramanian, S. F. Hassan, Esko Keski-Vakkuri, Asad Naqvi | A Space-Time Orbifold: A Toy Model for a Cosmological Singularity | 21 pages, 2 figures | Phys.Rev. D67 (2003) 026003 | 10.1103/PhysRevD.67.026003 | UPR-981-T,HIP-2202-07/TH | hep-th | null | We explore bosonic strings and Type II superstrings in the simplest time
dependent backgrounds, namely orbifolds of Minkowski space by time reversal and
some spatial reflections. We show that there are no negative norm physical
excitations. However, the contributions of negative norm virtual states to
quantum loops do not cancel, showing that a ghost-free gauge cannot be chosen.
The spectrum includes a twisted sector, with strings confined to a ``conical''
singularity which is localized in time. Since these localized strings are not
visible to asymptotic observers, interesting issues arise regarding unitarity
of the S-matrix for scattering of propagating states. The partition function of
our model is modular invariant, and for the superstring, the zero momentum
dilaton tadpole vanishes. Many of the issues we study will be generic to
time-dependent cosmological backgrounds with singularities localized in time,
and we derive some general lessons about quantizing strings on such spaces.
| [
{
"created": "Tue, 26 Feb 2002 20:54:10 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2002 22:22:18 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Hassan",
"S. F.",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Naqvi",
"Asad",
""
]
] | We explore bosonic strings and Type II superstrings in the simplest time dependent backgrounds, namely orbifolds of Minkowski space by time reversal and some spatial reflections. We show that there are no negative norm physical excitations. However, the contributions of negative norm virtual states to quantum loops do not cancel, showing that a ghost-free gauge cannot be chosen. The spectrum includes a twisted sector, with strings confined to a ``conical'' singularity which is localized in time. Since these localized strings are not visible to asymptotic observers, interesting issues arise regarding unitarity of the S-matrix for scattering of propagating states. The partition function of our model is modular invariant, and for the superstring, the zero momentum dilaton tadpole vanishes. Many of the issues we study will be generic to time-dependent cosmological backgrounds with singularities localized in time, and we derive some general lessons about quantizing strings on such spaces. |
1202.1294 | Sergey Cherkis | Sergey A. Cherkis and Richard S. Ward | Moduli of Monopole Walls and Amoebas | 42 pages, 8 figures | JHEP 1205 (2012) 090 | 10.1007/JHEP05(2012)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study doubly-periodic monopoles, also called monopole walls, determining
their spectral data and computing the dimensions of their moduli spaces. Using
spectral data we identify the moduli, and compare our results with a
perturbative analysis. We also identify an SL(2,Z) action on monopole walls, in
which the S transformation corresponds to the Nahm transform.
| [
{
"created": "Mon, 6 Feb 2012 21:13:32 GMT",
"version": "v1"
}
] | 2014-03-28 | [
[
"Cherkis",
"Sergey A.",
""
],
[
"Ward",
"Richard S.",
""
]
] | We study doubly-periodic monopoles, also called monopole walls, determining their spectral data and computing the dimensions of their moduli spaces. Using spectral data we identify the moduli, and compare our results with a perturbative analysis. We also identify an SL(2,Z) action on monopole walls, in which the S transformation corresponds to the Nahm transform. |
hep-th/0409267 | Farhang Loran | Farhang Loran | $\phi^4$-Model and Holography in Four Dimensions | Appendix B including two eps figures is added where the identities
necessary for section 3 are worked out. Furthermore a diagrammatic approach
to calculate higher order terms in the perturbation series is given | Phys.Lett. B605 (2005) 169-180 | 10.1016/j.physletb.2004.10.060 | null | hep-th | null | The generating function of correlators of dual operators on the boundary of
(A)dS4 space corresponding to the conformally coupled $\phi^4$-model is
obtained up to first order in the coupling constant by using the conformal map
between massless scalar fields in (Euclidean) Minkowski space and conformally
coupled scalars on (Euclidean anti) de Sitter space. Some exact classical
solutions of the nonlinear wave equation of massless (conformally coupled)
$\phi^3$, $\phi^4$ and $\phi^6$-models in D=6,4,3 Euclidean/Minkowski (AdS/dS)
spaces are obtained.
| [
{
"created": "Sat, 25 Sep 2004 11:59:41 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2004 04:37:18 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Dec 2006 15:19:33 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Loran",
"Farhang",
""
]
] | The generating function of correlators of dual operators on the boundary of (A)dS4 space corresponding to the conformally coupled $\phi^4$-model is obtained up to first order in the coupling constant by using the conformal map between massless scalar fields in (Euclidean) Minkowski space and conformally coupled scalars on (Euclidean anti) de Sitter space. Some exact classical solutions of the nonlinear wave equation of massless (conformally coupled) $\phi^3$, $\phi^4$ and $\phi^6$-models in D=6,4,3 Euclidean/Minkowski (AdS/dS) spaces are obtained. |
1207.0247 | Tsuyoshi Houri | Tsuyoshi Houri, Hiroshi Takeuchi, Yukinori Yasui | A Deformation of Sasakian Structure in the Presence of Torsion and
Supergravity Solutions | 38 pages, 1 table, v2: version to appear in Class. Quant. Grav | Class.Quant.Grav.30:135008,2013 | 10.1088/0264-9381/30/13/135008 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a deformation of Sasakian structure in the presence of totally
skew-symmetric torsion by introducing odd dimensional manifolds whose metric
cones are K\"ahler with torsion. It is shown that such a geometry inherits
similar properties to those of Sasakian geometry. As an example of them, we
present an explicit expression of local metrics and see how Sasakian structure
is deformed by the presence of torsion. We also demonstrate that our example of
the metrics admits the existence of hidden symmetries described by non-trivial
odd-rank generalized closed conformal Killing-Yano tensors. Furthermore, using
these metrics as an {\it ansatz}, we construct exact solutions in five
dimensional minimal (un-)gauged supergravity and eleven dimensional
supergravity. Finally, we discuss the global structures of the solutions and
obtain regular metrics on compact manifolds in five dimensions, which give
natural generalizations of Sasaki--Einstein manifolds $Y^{p,q}$ and
$L^{a,b,c}$. We also discuss regular metrics on non-compact manifolds in eleven
dimensions.
| [
{
"created": "Sun, 1 Jul 2012 21:16:51 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2013 06:19:11 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Houri",
"Tsuyoshi",
""
],
[
"Takeuchi",
"Hiroshi",
""
],
[
"Yasui",
"Yukinori",
""
]
] | We discuss a deformation of Sasakian structure in the presence of totally skew-symmetric torsion by introducing odd dimensional manifolds whose metric cones are K\"ahler with torsion. It is shown that such a geometry inherits similar properties to those of Sasakian geometry. As an example of them, we present an explicit expression of local metrics and see how Sasakian structure is deformed by the presence of torsion. We also demonstrate that our example of the metrics admits the existence of hidden symmetries described by non-trivial odd-rank generalized closed conformal Killing-Yano tensors. Furthermore, using these metrics as an {\it ansatz}, we construct exact solutions in five dimensional minimal (un-)gauged supergravity and eleven dimensional supergravity. Finally, we discuss the global structures of the solutions and obtain regular metrics on compact manifolds in five dimensions, which give natural generalizations of Sasaki--Einstein manifolds $Y^{p,q}$ and $L^{a,b,c}$. We also discuss regular metrics on non-compact manifolds in eleven dimensions. |
1009.5678 | Keun-young Kim | Nick Evans, James French, and Keun-Young Kim | Holography of a Composite Inflaton | 13 pages, 12 figures; v2: Added references | JHEP 1011:145,2010 | 10.1007/JHEP11(2010)145 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the time evolution of a brane construction that is holographically
dual to a strongly coupled gauge theory that dynamically breaks a global
symmetry through the generation of an effective composite Higgs vev. The D3/D7
system with a background magnetic field or non-trivial gauge coupling (dilaton)
profile displays the symmetry breaking. We study motion of the D7 brane in the
background of the D3 branes. For small field inflation in the field theory the
effective Higgs vev rolls from zero to the true vacuum value. We study what
phenomenological dilaton profile generates the slow rolling needed, hence
learning how the strongly coupled gauge theory's coupling must run. We note
that evolution of our configuration in the holographic direction, representing
the phyiscs of the strong interactions, can provide additional slowing of the
roll time. Inflation seems to be favoured if the coupling changes by only a
small amount or very gently. We speculate on how such a scenario could be
realized away from N=4 gauge theory, for example, in a walking gauge theory.
| [
{
"created": "Tue, 28 Sep 2010 20:02:09 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2010 22:41:50 GMT",
"version": "v2"
}
] | 2010-12-20 | [
[
"Evans",
"Nick",
""
],
[
"French",
"James",
""
],
[
"Kim",
"Keun-Young",
""
]
] | We study the time evolution of a brane construction that is holographically dual to a strongly coupled gauge theory that dynamically breaks a global symmetry through the generation of an effective composite Higgs vev. The D3/D7 system with a background magnetic field or non-trivial gauge coupling (dilaton) profile displays the symmetry breaking. We study motion of the D7 brane in the background of the D3 branes. For small field inflation in the field theory the effective Higgs vev rolls from zero to the true vacuum value. We study what phenomenological dilaton profile generates the slow rolling needed, hence learning how the strongly coupled gauge theory's coupling must run. We note that evolution of our configuration in the holographic direction, representing the phyiscs of the strong interactions, can provide additional slowing of the roll time. Inflation seems to be favoured if the coupling changes by only a small amount or very gently. We speculate on how such a scenario could be realized away from N=4 gauge theory, for example, in a walking gauge theory. |
1410.3093 | Gordon Semenoff | Gianluca Grignani, Andrea Marini, Namshik Kim, Gordon W. Semenoff | Exciton Condensation in a Holographic Double Monolayer Semimetal | 4 pages, 2 figures | null | 10.1016/j.physletb.2015.08.016 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The formation of intra-layer and inter-layer exciton condensates in a model
of a double monolayer Weyl semi-metal is studied in the strong coupling limit
using AdS/CFT duality. We find a rich phase diagram which includes phase
transitions between inter-layer and intra-layer condensates as the charge
densities and the separation of the layers are varied. The tendency to
inter-layer condensation is strongest when the charge densities are balanced so
that the weak coupling electron and hole Fermi surfaces would be nested. For
systems with multiple species of massless Fermions, we find a novel phase
transition where the charge balance for nesting occurs spontaneously.
| [
{
"created": "Sun, 12 Oct 2014 14:09:45 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Grignani",
"Gianluca",
""
],
[
"Marini",
"Andrea",
""
],
[
"Kim",
"Namshik",
""
],
[
"Semenoff",
"Gordon W.",
""
]
] | The formation of intra-layer and inter-layer exciton condensates in a model of a double monolayer Weyl semi-metal is studied in the strong coupling limit using AdS/CFT duality. We find a rich phase diagram which includes phase transitions between inter-layer and intra-layer condensates as the charge densities and the separation of the layers are varied. The tendency to inter-layer condensation is strongest when the charge densities are balanced so that the weak coupling electron and hole Fermi surfaces would be nested. For systems with multiple species of massless Fermions, we find a novel phase transition where the charge balance for nesting occurs spontaneously. |
hep-th/0001220 | Jorge Stephany | J.A.Lopez and J.Stephany | Spin Observables and Path Integrals | 17 pages | Proceedings of the VI International Wigner Symposium, Ed. Engin
Arik, p.781-789, Bogazici Universitesi Vakfi, Istambul (2002). | null | SB/F/99-266 | hep-th quant-ph | null | We discuss the formulation of spin observables associated to a
non-relativistic spinning particles in terms of grassmanian differential
operators. We use as configuration space variables for the pseudo-classical
description of this system the positions $x$ and a Grassmanian vector
$\vec\epsilon$. We consider an explicit discretization procedure to obtain the
quantum amplitudes as path integrals in this superspace. We compute the quantum
action necessary for this description including an explicit expression for the
boundary terms. Finally we shown how for simple examples, the path integral may
be performed in the semi-classical approximation, leading to the correct
quantum propagator.
| [
{
"created": "Mon, 31 Jan 2000 17:20:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lopez",
"J. A.",
""
],
[
"Stephany",
"J.",
""
]
] | We discuss the formulation of spin observables associated to a non-relativistic spinning particles in terms of grassmanian differential operators. We use as configuration space variables for the pseudo-classical description of this system the positions $x$ and a Grassmanian vector $\vec\epsilon$. We consider an explicit discretization procedure to obtain the quantum amplitudes as path integrals in this superspace. We compute the quantum action necessary for this description including an explicit expression for the boundary terms. Finally we shown how for simple examples, the path integral may be performed in the semi-classical approximation, leading to the correct quantum propagator. |
1106.3312 | Lavinia Heisenberg | Claudia de Rham and Lavinia Heisenberg (DPT and CAP Geneve) | Cosmology of the Galileon from Massive Gravity | 20 pages, 1 figure | Phys.Rev.D84:043503,2011 | 10.1103/PhysRevD.84.043503 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We covariantize the decoupling limit of massive gravity proposed in
arXiv:1011.1232 and study the cosmology of this theory as a proxy, which
embodies key features of the fully non-linear covariant theory. We first
confirm that it exhibits a self-accelerating solution, similar to what has been
found in arXiv:1010.1780, where the Hubble parameter corresponds to the
graviton mass. For a certain range of parameters fluctuations relative to the
self-accelerating background are stable and form an attractor solution. We also
show that a degravitating solution can not be constructed in this covariantized
proxy theory in a meaningful way. As for cosmic structure formation, we find
that the helicity-0 mode of the graviton causes an enhancement relative to
LCDM. For consistency we also compare proxy theories obtained starting from
different frames in the decoupling limit and discuss the possibility of
obtaining a non-representative proxy theory by choosing the wrong starting
frame.
| [
{
"created": "Thu, 16 Jun 2011 19:22:58 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2011 12:35:06 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Mar 2012 14:33:39 GMT",
"version": "v3"
}
] | 2012-03-02 | [
[
"de Rham",
"Claudia",
"",
"DPT and CAP Geneve"
],
[
"Heisenberg",
"Lavinia",
"",
"DPT and CAP Geneve"
]
] | We covariantize the decoupling limit of massive gravity proposed in arXiv:1011.1232 and study the cosmology of this theory as a proxy, which embodies key features of the fully non-linear covariant theory. We first confirm that it exhibits a self-accelerating solution, similar to what has been found in arXiv:1010.1780, where the Hubble parameter corresponds to the graviton mass. For a certain range of parameters fluctuations relative to the self-accelerating background are stable and form an attractor solution. We also show that a degravitating solution can not be constructed in this covariantized proxy theory in a meaningful way. As for cosmic structure formation, we find that the helicity-0 mode of the graviton causes an enhancement relative to LCDM. For consistency we also compare proxy theories obtained starting from different frames in the decoupling limit and discuss the possibility of obtaining a non-representative proxy theory by choosing the wrong starting frame. |
0712.0727 | Norma Sanchez | Marina Ramon Medrano (1,2) and Norma G. Sanchez ((1) Observatoire de
Paris, LERMA, (2) Universidad Complutense de Madrid, Dept de Fisica Teorica) | Semiclassical and Quantum Black Holes and their Evaporation, de Sitter
and Anti-de Sitter Regimes, Gravitational and String Phase Transitions | review paper, no figures. to appear in Int Jour Mod Phys A | Int.J.Mod.Phys.A22:6089-6131,2007 | 10.1142/S0217751X07038669 | null | hep-th astro-ph gr-qc hep-ph | null | An effective string theory in physically relevant cosmological and black hole
space times is reviewed. Explicit computations of the quantum string entropy,
partition function and quantum string emission by black holes (Schwarzschild,
rotating, charged, asymptotically flat, de Sitter dS and AdS space times) in
the framework of effective string theory in curved backgrounds provide an
amount of new quantum gravity results as: (i) gravitational phase transitions
appear with a distinctive universal feature: a square root branch point
singularity in any space time dimensions. This is of the type of the de Vega -
Sanchez transition for the thermal self-gravitating gas of point particles.
(ii) There are no phase transitions in AdS alone. (iii) For $dS$ background,
upper bounds of the Hubble constant H are found, dictated by the quantum string
phase transition.(iv) The Hawking temperature and the Hagedorn temperature are
the same concept but in different (semiclassical and quantum) gravity regimes
respectively. (v) The last stage of black hole evaporation is a microscopic
string state with a finite string critical temperature which decays as usual
quantum strings do in non-thermal pure quantum radiation (no information
loss).(vi) New lower string bounds are given for the Kerr-Newman black hole
angular momentum and charge, which are entirely different from the upper
classical bounds. (vii) Semiclassical gravity states undergo a phase transition
into quantum string states of the same system, these states are duals of each
other in the precise sense of the usual classical-quantum (wave-particle)
duality, which is universal irrespective of any symmetry or isommetry of the
space-time and of the number or the kind of space-time dimensions.
| [
{
"created": "Wed, 5 Dec 2007 14:13:49 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Medrano",
"Marina Ramon",
""
],
[
"Sanchez",
"Norma G.",
""
]
] | An effective string theory in physically relevant cosmological and black hole space times is reviewed. Explicit computations of the quantum string entropy, partition function and quantum string emission by black holes (Schwarzschild, rotating, charged, asymptotically flat, de Sitter dS and AdS space times) in the framework of effective string theory in curved backgrounds provide an amount of new quantum gravity results as: (i) gravitational phase transitions appear with a distinctive universal feature: a square root branch point singularity in any space time dimensions. This is of the type of the de Vega - Sanchez transition for the thermal self-gravitating gas of point particles. (ii) There are no phase transitions in AdS alone. (iii) For $dS$ background, upper bounds of the Hubble constant H are found, dictated by the quantum string phase transition.(iv) The Hawking temperature and the Hagedorn temperature are the same concept but in different (semiclassical and quantum) gravity regimes respectively. (v) The last stage of black hole evaporation is a microscopic string state with a finite string critical temperature which decays as usual quantum strings do in non-thermal pure quantum radiation (no information loss).(vi) New lower string bounds are given for the Kerr-Newman black hole angular momentum and charge, which are entirely different from the upper classical bounds. (vii) Semiclassical gravity states undergo a phase transition into quantum string states of the same system, these states are duals of each other in the precise sense of the usual classical-quantum (wave-particle) duality, which is universal irrespective of any symmetry or isommetry of the space-time and of the number or the kind of space-time dimensions. |
2008.12582 | Tung Tran | Tung Tran | Higher Spin Gravity: Quantization and Algebraic Structures | Ph.D. thesis, 268 pages, many figures. Advisor: Prof. Dr. Ivo Sachs | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this thesis is to explore the quantum aspects of Higher Spin
Gravities (HSGRAs) and their underlining algebraic structures. We give a
concise review of HSGRAs followed by three chapters with original results. The
first chapter is dedicated to the study of the vacuum one-loop correction of
holographic HSGRAs in Anti-de Sitter space. We show that there is a remarkable
agreement between the $F$-energy of HSGRAs in the bulk and the predictions
coming from the dual CFTs in integer dimensions. We extend this result to
continuous dimension and show that vacuum one-loop corrections in HSGRA
reproduce the $F$-energy of the Wilson-Fisher CFT in $4-\epsilon$ dimension.
The second part of the thesis explores the quantum properties of Chiral Higher
Spin Gravity - a closed subsector of any other HSGRA in four dimensions. We
show that Chiral Theory is UV-finite at one-loop. Moreover, there is an
interesting relation between one-loop amplitudes in Chiral HSGRA and the
self-dual subsector of QCD. The last part of the thesis is devoted to algebraic
structures of HSGRAs. As an application, we construct a formal bosonic HSGRA in
$AdS_5$ in two different ways: by deforming the Joseph relations and by
deforming the quasi-conformal realization.
| [
{
"created": "Fri, 28 Aug 2020 11:08:17 GMT",
"version": "v1"
}
] | 2020-08-31 | [
[
"Tran",
"Tung",
""
]
] | The aim of this thesis is to explore the quantum aspects of Higher Spin Gravities (HSGRAs) and their underlining algebraic structures. We give a concise review of HSGRAs followed by three chapters with original results. The first chapter is dedicated to the study of the vacuum one-loop correction of holographic HSGRAs in Anti-de Sitter space. We show that there is a remarkable agreement between the $F$-energy of HSGRAs in the bulk and the predictions coming from the dual CFTs in integer dimensions. We extend this result to continuous dimension and show that vacuum one-loop corrections in HSGRA reproduce the $F$-energy of the Wilson-Fisher CFT in $4-\epsilon$ dimension. The second part of the thesis explores the quantum properties of Chiral Higher Spin Gravity - a closed subsector of any other HSGRA in four dimensions. We show that Chiral Theory is UV-finite at one-loop. Moreover, there is an interesting relation between one-loop amplitudes in Chiral HSGRA and the self-dual subsector of QCD. The last part of the thesis is devoted to algebraic structures of HSGRAs. As an application, we construct a formal bosonic HSGRA in $AdS_5$ in two different ways: by deforming the Joseph relations and by deforming the quasi-conformal realization. |
1908.04153 | Anosh Joseph | Anosh Joseph and Arpith Kumar | Complex Langevin Simulations of Zero-dimensional Supersymmetric Quantum
Field Theories | v2: 25 pages, 22 figures. Published version | Phys. Rev. D 100, 074507 (2019) | 10.1103/PhysRevD.100.074507 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the possibility of spontaneous supersymmetry breaking in a
class of zero-dimensional ${\cal N} = 2$ supersymmetric quantum field theories,
with complex actions, using complex Langevin dynamics and stochastic
quantization. Our simulations successfully capture the presence or absence of
supersymmetry breaking in these models. The expectation value of the auxiliary
field under twisted boundary conditions was used as an order parameter to
capture spontaneous supersymmetry breaking in these models.
| [
{
"created": "Mon, 12 Aug 2019 13:56:48 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Nov 2019 02:29:45 GMT",
"version": "v2"
}
] | 2019-11-04 | [
[
"Joseph",
"Anosh",
""
],
[
"Kumar",
"Arpith",
""
]
] | We investigate the possibility of spontaneous supersymmetry breaking in a class of zero-dimensional ${\cal N} = 2$ supersymmetric quantum field theories, with complex actions, using complex Langevin dynamics and stochastic quantization. Our simulations successfully capture the presence or absence of supersymmetry breaking in these models. The expectation value of the auxiliary field under twisted boundary conditions was used as an order parameter to capture spontaneous supersymmetry breaking in these models. |
hep-th/9912055 | Ram Brustein | R. Brustein, G. Veneziano | A Causal Entropy Bound | 12 pages, no figures, a reference added and minor typos corrected | Phys.Rev.Lett. 84 (2000) 5695-5698 | 10.1103/PhysRevLett.84.5695 | CERN-TH/99-381 | hep-th gr-qc | null | The identification of a causal-connection scale motivates us to propose a new
covariant bound on entropy within a generic space-like region. This "causal
entropy bound", scaling as the square root of EV, and thus lying around the
geometric mean of Bekenstein's S/ER and holographic S/A bounds, is checked in
various "critical" situations. In the case of limited gravity, Bekenstein's
bound is the strongest while naive holography is the weakest. In the case of
strong gravity, our bound and Bousso's holographic bound are stronger than
Bekenstein's, while naive holography is too tight, and hence typically wrong.
| [
{
"created": "Tue, 7 Dec 1999 16:01:54 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Dec 1999 08:35:06 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Brustein",
"R.",
""
],
[
"Veneziano",
"G.",
""
]
] | The identification of a causal-connection scale motivates us to propose a new covariant bound on entropy within a generic space-like region. This "causal entropy bound", scaling as the square root of EV, and thus lying around the geometric mean of Bekenstein's S/ER and holographic S/A bounds, is checked in various "critical" situations. In the case of limited gravity, Bekenstein's bound is the strongest while naive holography is the weakest. In the case of strong gravity, our bound and Bousso's holographic bound are stronger than Bekenstein's, while naive holography is too tight, and hence typically wrong. |
1004.3352 | Flavio Mercati | Giovanni Amelino-Camelia and Flavio Mercati | String-inspired ultraviolet/infrared mixing and preliminary evidence of
a violation of the de Broglie relation for nonrelativistic neutrons | Analysis unchanged; additional comments on the part of the motivation
drawn from a Loop-Quantum-Gravity-inspired model; additional comments on the
derivation of a LOWER bound on the parameter $\chi$ for the
lightlike-noncommutativity case. | null | null | null | hep-th gr-qc hep-ph physics.atom-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We advocate a novel perspective on the phenomenology of a framework with
spacetime noncommutativity which is of established relevance for string theory.
Our analysis applies to cases in which the noncommutativity parameters are
arranged according to the criteria of "light-like noncommutativity" and
ultraviolet supersymmetry is assumed, so that the implications of the
characteristic mechanism of ultraviolet/infrared mixing are relatively soft. We
also observe that an analogous case of soft ultraviolet-infrared mixing is
present in a previously-proposed Loop-quantum-gravity-inspired description of
quantum spacetime. And we show that soft ultraviolet-infrared mixing produces
an anomaly for the nonrelativistic de Broglie relation $\lambda v = h/m$, with
correction term governed by a single (but particle-dependent) parameter $\chi$.
We test this hypothesis by comparing a determination of the fine structure
constant that relies on the de Broglie relation for nonrelativistic neutrons to
other independent determinations of the fine structure constant, and we obtain
an estimate of $\chi$ that differs from 0 with four-standard-deviation
significance.
| [
{
"created": "Tue, 20 Apr 2010 06:19:00 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Apr 2010 10:29:48 GMT",
"version": "v2"
}
] | 2010-04-30 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Mercati",
"Flavio",
""
]
] | We advocate a novel perspective on the phenomenology of a framework with spacetime noncommutativity which is of established relevance for string theory. Our analysis applies to cases in which the noncommutativity parameters are arranged according to the criteria of "light-like noncommutativity" and ultraviolet supersymmetry is assumed, so that the implications of the characteristic mechanism of ultraviolet/infrared mixing are relatively soft. We also observe that an analogous case of soft ultraviolet-infrared mixing is present in a previously-proposed Loop-quantum-gravity-inspired description of quantum spacetime. And we show that soft ultraviolet-infrared mixing produces an anomaly for the nonrelativistic de Broglie relation $\lambda v = h/m$, with correction term governed by a single (but particle-dependent) parameter $\chi$. We test this hypothesis by comparing a determination of the fine structure constant that relies on the de Broglie relation for nonrelativistic neutrons to other independent determinations of the fine structure constant, and we obtain an estimate of $\chi$ that differs from 0 with four-standard-deviation significance. |
hep-th/9409109 | Maha Saadi | K.M. Benson and M. Saadi | Confining Flux Tubes in a Current Algebra Approach | 29 pages (REVTEX) plus 6 figures, two corrections in the final
section and added references | Phys.Rev.D51:3096-3107,1995 | 10.1103/PhysRevD.51.3096 | UCSD/PTH 94-15 | hep-th hep-ph | null | We describe flux tubes and their interactions in a low energy sigma model
induced by $SU({N_f}) \rightarrow SO({N_f})$ flavor symmetry breaking in
$SO(N_c)$ QCD. Unlike standard QCD, this model allows gauge confinement to
manifest itself in the low energy theory, which has unscreened spinor color
sources and global $Z_2$ flux tubes. We construct the flux tubes and show how
they mediate the confinement of spinor sources. We further examine the flux
tubes' quantum stability, spectrum and interactions. We find that flux tubes
are Alice strings, despite ambiguities in defining parallel transport.
Furthermore, twisted loops of flux tube support skyrmion number, just as gauged
Alice strings form loops that support monopole charge. This model, while
phenomenologically nonviable, thus affords a perspective on both the dynamics
of confinement and on subtleties which arise for global Alice strings.
| [
{
"created": "Mon, 19 Sep 1994 21:01:42 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Sep 1994 17:01:40 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 1994 22:52:26 GMT",
"version": "v3"
}
] | 2010-11-01 | [
[
"Benson",
"K. M.",
""
],
[
"Saadi",
"M.",
""
]
] | We describe flux tubes and their interactions in a low energy sigma model induced by $SU({N_f}) \rightarrow SO({N_f})$ flavor symmetry breaking in $SO(N_c)$ QCD. Unlike standard QCD, this model allows gauge confinement to manifest itself in the low energy theory, which has unscreened spinor color sources and global $Z_2$ flux tubes. We construct the flux tubes and show how they mediate the confinement of spinor sources. We further examine the flux tubes' quantum stability, spectrum and interactions. We find that flux tubes are Alice strings, despite ambiguities in defining parallel transport. Furthermore, twisted loops of flux tube support skyrmion number, just as gauged Alice strings form loops that support monopole charge. This model, while phenomenologically nonviable, thus affords a perspective on both the dynamics of confinement and on subtleties which arise for global Alice strings. |
1910.08094 | Severin L\"ust | Iosif Bena, Alex Buchel, Severin L\"ust | Throat destabilization (for profit and for fun) | 12 pages, 2 figures | null | null | CPHT-RR058.102019 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two recent results indicate that the addition of supersymmetry-breaking
ingredients can destabilize the Klebanov-Strassler warped deformed conifold
throat. The first comes from an analytic treatment of the interaction between
anti-D3 branes and the complex-structure modulus corresponding to the
deformation of the conifold [arXiv:1809.06861]. The second comes from the
numeric construction of Klebanov-Strassler black holes [arXiv:1809.08484],
which stop existing above a certain value of the non-extremality. We show that
in both calculations the destabilization energies have the same parametric
dependence on $g_s$ and the conifold flux, and only differ by a small numerical
factor. This remarkable match confirms that anti-D3 brane uplift can only work
in warped throats that have an O(1000) contribution to the D3 tadpole.
| [
{
"created": "Thu, 17 Oct 2019 18:02:34 GMT",
"version": "v1"
}
] | 2019-10-21 | [
[
"Bena",
"Iosif",
""
],
[
"Buchel",
"Alex",
""
],
[
"Lüst",
"Severin",
""
]
] | Two recent results indicate that the addition of supersymmetry-breaking ingredients can destabilize the Klebanov-Strassler warped deformed conifold throat. The first comes from an analytic treatment of the interaction between anti-D3 branes and the complex-structure modulus corresponding to the deformation of the conifold [arXiv:1809.06861]. The second comes from the numeric construction of Klebanov-Strassler black holes [arXiv:1809.08484], which stop existing above a certain value of the non-extremality. We show that in both calculations the destabilization energies have the same parametric dependence on $g_s$ and the conifold flux, and only differ by a small numerical factor. This remarkable match confirms that anti-D3 brane uplift can only work in warped throats that have an O(1000) contribution to the D3 tadpole. |
hep-th/9802006 | Gernot Muenster | Gernot M\"unster (University of M\"unster) | Critical Phenomena, Strings, and Interfaces | 14 pages, 7 Postscript figures, LaTeX, uses epsf.sty, epic.sty,
curves.sty. Proceedings of the 31st International Symposium Ahrenshoop on the
Theory of Elementary Particles, Buckow, Germany, September 1997 | null | null | MS-TPI-98-1 | hep-th hep-lat | null | Some points concerning the relation of strings to interfaces in statistical
systems are discussed.
| [
{
"created": "Mon, 2 Feb 1998 10:46:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Münster",
"Gernot",
"",
"University of Münster"
]
] | Some points concerning the relation of strings to interfaces in statistical systems are discussed. |
hep-th/0005037 | Harold Blas | Harold Blas | The sl(2) affine Toda model coupled to the matter: solitons and
confinement | 15 pages, LaTex; typos corrected and citation of previous works
added. Shorter version to appear in the Proceedings of Hadron Physics 2000
Workshop, Caraguatatuba, SP, Brazil, 10-15 Apr, 2000 | null | 10.1142/9789812811653_0057 | null | hep-th hep-ph nlin.SI | null | The so-called conformal affine Toda theory coupled to the matter fields
(CATM), associated to the $\hat{sl}(2)$ affine Lie algebra, is studied. The
conformal symmetry is fixed by setting a connection to zero, then one defines
an off-critical model, the affine Toda model coupled to the matter (ATM). The
quantum version of this reduction process is discussed by means of the
perturbative Lagrangian viewpoint, showing that the ATM theory is a
spontaneously broken and reduced version of the CATM model. We show, using
bosonization techniques that the off-critical theory decouples into a
sine-Gordon model and a free scalar. Using the "dressing" transformation method
we construct the explicit forms of the one and two-soliton classical solutions,
and show that a physical bound soliton-antisoliton pair (breather) does not
exist. Moreover, we verify that these solutions share some features of the
sine- Gordon (massive Thirring) solitons, and satisfy the classical equivalence
of topological and Noether currents in the ATM model. Imposing the Noether and
topological currents equivalence as a constraint, one can show that the ATM
model leads to a bag model like mechanism for the confinement of the U(1)
"color" charge inside the sine-Gordon solitons (baryons).
| [
{
"created": "Thu, 4 May 2000 02:22:30 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2000 00:10:42 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Blas",
"Harold",
""
]
] | The so-called conformal affine Toda theory coupled to the matter fields (CATM), associated to the $\hat{sl}(2)$ affine Lie algebra, is studied. The conformal symmetry is fixed by setting a connection to zero, then one defines an off-critical model, the affine Toda model coupled to the matter (ATM). The quantum version of this reduction process is discussed by means of the perturbative Lagrangian viewpoint, showing that the ATM theory is a spontaneously broken and reduced version of the CATM model. We show, using bosonization techniques that the off-critical theory decouples into a sine-Gordon model and a free scalar. Using the "dressing" transformation method we construct the explicit forms of the one and two-soliton classical solutions, and show that a physical bound soliton-antisoliton pair (breather) does not exist. Moreover, we verify that these solutions share some features of the sine- Gordon (massive Thirring) solitons, and satisfy the classical equivalence of topological and Noether currents in the ATM model. Imposing the Noether and topological currents equivalence as a constraint, one can show that the ATM model leads to a bag model like mechanism for the confinement of the U(1) "color" charge inside the sine-Gordon solitons (baryons). |
hep-th/0501143 | V. Parameswaran Nair | V.P. Nair | A Note on MHV Amplitudes for Gravitons | 14 pages, LaTeX | Phys.Rev. D71 (2005) 121701 | 10.1103/PhysRevD.71.121701 | CCNY-HEP-05/1 | hep-th | null | We show how the maximally helicity violating (MHV) scattering amplitudes for
gravitons can be related to current correlators and vertex operators in twistor
space. This is similar to what happens in Yang-Mills theory and raises the
possibility of a direct twistor-string-like construction for ${\cal N}=8$
supergravity.
| [
{
"created": "Wed, 19 Jan 2005 06:02:25 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Nair",
"V. P.",
""
]
] | We show how the maximally helicity violating (MHV) scattering amplitudes for gravitons can be related to current correlators and vertex operators in twistor space. This is similar to what happens in Yang-Mills theory and raises the possibility of a direct twistor-string-like construction for ${\cal N}=8$ supergravity. |
2201.12390 | Masaru Hongo | Masaru Hongo, Xu-Guang Huang, Matthias Kaminski, Mikhail Stephanov,
Ho-Ung Yee | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma | 32 pages, 1 figure | null | 10.1007/JHEP08(2022)263 | RIKEN-iTHEMS-Report-22 | hep-th hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | We compute the relaxation rate of the spin density of heavy quarks in a
perturbative QCD plasma to leading-log order in the coupling constant $g$. The
spin relaxation rate $\Gamma_s$ in spin hydrodynamics is shown to be
$\Gamma_s\sim g^4\log(1/g)T (T/M)^2$ in the heavy-quark limit $T/M\ll 1$, which
is smaller than the relaxation rate of other non-hydrodynamic modes by
additional powers of $T/M$. We demonstrate three different methods to evaluate
the spin relaxation rate: 1) the Green-Kubo formula in the spin hydrodynamic
regime, 2) the spin density correlation function in the strict hydrodynamic
limit, and 3) quantum kinetic theory of the spin distribution function in
momentum space. We highlight the interesting differences between these methods,
while they are ultimately connected to each other by the underlying
Ward-Takahashi identity for the non-conserved spin density.
| [
{
"created": "Fri, 28 Jan 2022 19:42:48 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Hongo",
"Masaru",
""
],
[
"Huang",
"Xu-Guang",
""
],
[
"Kaminski",
"Matthias",
""
],
[
"Stephanov",
"Mikhail",
""
],
[
"Yee",
"Ho-Ung",
""
]
] | We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant $g$. The spin relaxation rate $\Gamma_s$ in spin hydrodynamics is shown to be $\Gamma_s\sim g^4\log(1/g)T (T/M)^2$ in the heavy-quark limit $T/M\ll 1$, which is smaller than the relaxation rate of other non-hydrodynamic modes by additional powers of $T/M$. We demonstrate three different methods to evaluate the spin relaxation rate: 1) the Green-Kubo formula in the spin hydrodynamic regime, 2) the spin density correlation function in the strict hydrodynamic limit, and 3) quantum kinetic theory of the spin distribution function in momentum space. We highlight the interesting differences between these methods, while they are ultimately connected to each other by the underlying Ward-Takahashi identity for the non-conserved spin density. |
hep-th/0303046 | Katie Freese | Steven Abel, Katherine Freese, and Ian Kogan | Hagedorn Inflation: Open Strings on Branes Can Drive Inflation | Accepted for publication in Phys. Lett. B, 13 pages, 1 figure | null | null | MCTP-03-10 | hep-th astro-ph | null | We demonstrate an inflationary solution to the cosmological horizon problem
during the Hagedorn regime in the early universe. Here the observable universe
is confined to three spatial dimensions (a three-brane) embedded in higher
dimensions. The only ingredients required are open strings on D-branes at
temperatures close to the string scale. No potential is required. Winding modes
of the strings provide a negative pressure that can drive inflation of our
observable universe. Hence the mere existence of open strings on branes in the
early hot phase of the universe drives Hagedorn inflation, which can be either
power law or exponential. We note the amusing fact that, in the case of
stationary extra dimensions, inflationary expansion takes place only for branes
of three or less dimensions.
| [
{
"created": "Thu, 6 Mar 2003 15:34:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abel",
"Steven",
""
],
[
"Freese",
"Katherine",
""
],
[
"Kogan",
"Ian",
""
]
] | We demonstrate an inflationary solution to the cosmological horizon problem during the Hagedorn regime in the early universe. Here the observable universe is confined to three spatial dimensions (a three-brane) embedded in higher dimensions. The only ingredients required are open strings on D-branes at temperatures close to the string scale. No potential is required. Winding modes of the strings provide a negative pressure that can drive inflation of our observable universe. Hence the mere existence of open strings on branes in the early hot phase of the universe drives Hagedorn inflation, which can be either power law or exponential. We note the amusing fact that, in the case of stationary extra dimensions, inflationary expansion takes place only for branes of three or less dimensions. |
hep-th/9112037 | Vipul Periwal | Robert C. Myers and Vipul Periwal | From polymers to quantum gravity: triple-scaling in rectangular matrix
models | 29 pages | Nucl.Phys. B390 (1993) 716-746 | 10.1016/0550-3213(93)90496-C | null | hep-th | null | Rectangular $N\times M$ matrix models can be solved in several qualitatively
distinct large $N$ limits, since two independent parameters govern the size of
the matrix. Regarded as models of random surfaces, these matrix models
interpolate between branched polymer behaviour and two-dimensional quantum
gravity. We solve such models in a `triple-scaling' regime in this paper, with
$N$ and $M$ becoming large independently. A correspondence between phase
transitions and singularities of mappings from ${\bf R}^2$ to ${\bf R}^2$ is
indicated. At different critical points, the scaling behavior is determined by:
i) two decoupled ordinary differential equations; ii) an ordinary differential
equation and a finite difference equation; or iii) two coupled partial
differential equations. The Painlev\'e II equation arises (in conjunction with
a difference equation) at a point associated with branched polymers. For
critical points described by partial differential equations, there are dual
weak-coupling/strong-coupling expansions. It is conjectured that the new
physics is related to microscopic topology fluctuations.
| [
{
"created": "Mon, 16 Dec 1991 23:51:12 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Myers",
"Robert C.",
""
],
[
"Periwal",
"Vipul",
""
]
] | Rectangular $N\times M$ matrix models can be solved in several qualitatively distinct large $N$ limits, since two independent parameters govern the size of the matrix. Regarded as models of random surfaces, these matrix models interpolate between branched polymer behaviour and two-dimensional quantum gravity. We solve such models in a `triple-scaling' regime in this paper, with $N$ and $M$ becoming large independently. A correspondence between phase transitions and singularities of mappings from ${\bf R}^2$ to ${\bf R}^2$ is indicated. At different critical points, the scaling behavior is determined by: i) two decoupled ordinary differential equations; ii) an ordinary differential equation and a finite difference equation; or iii) two coupled partial differential equations. The Painlev\'e II equation arises (in conjunction with a difference equation) at a point associated with branched polymers. For critical points described by partial differential equations, there are dual weak-coupling/strong-coupling expansions. It is conjectured that the new physics is related to microscopic topology fluctuations. |
2208.04993 | Geoffrey Penington | Raphael Bousso and Geoff Penington | Entanglement Wedges for Gravitating Regions | 26 pages, 11 figures | null | 10.1103/PhysRevD.107.086002 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by properties of tensor networks, we conjecture that an arbitrary
gravitating region $a$ can be assigned a generalized entanglement wedge
$E\supset a$, such that quasi-local operators in $E$ have a holographic
representation in the full algebra generated by quasi-local operators in $a$.
The universe need not be asymptotically flat or AdS, and $a$ need not be
asymptotic or weakly gravitating. On a static Cauchy surface $\Sigma$, we
propose that $E$ is the superset of $a$ that minimizes the generalized entropy.
We prove that $E$ satisfies a no-cloning theorem and appropriate forms of
strong subadditivity and nesting. If $a$ lies near a portion $A$ of the
conformal boundary of AdS, our proposal reduces to the Quantum Minimal Surface
prescription applied to $A$. We also discuss possible covariant extensions of
this proposal, although none prove completely satisfactory. Our results are
consistent with the conjecture that information in $E$ that is spacelike to $a$
in the semiclassical description can nevertheless be recovered from $a$, by
microscopic operators that break that description. We thus propose that $E$
quantifies the range of holographic encoding, an important nonlocal feature of
quantum gravity, in general spacetimes.
| [
{
"created": "Tue, 9 Aug 2022 18:38:05 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Sep 2022 23:56:58 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Sep 2022 17:31:05 GMT",
"version": "v3"
},
{
"created": "Sat, 29 Jul 2023 01:07:47 GMT",
"version": "v4"
}
] | 2023-08-01 | [
[
"Bousso",
"Raphael",
""
],
[
"Penington",
"Geoff",
""
]
] | Motivated by properties of tensor networks, we conjecture that an arbitrary gravitating region $a$ can be assigned a generalized entanglement wedge $E\supset a$, such that quasi-local operators in $E$ have a holographic representation in the full algebra generated by quasi-local operators in $a$. The universe need not be asymptotically flat or AdS, and $a$ need not be asymptotic or weakly gravitating. On a static Cauchy surface $\Sigma$, we propose that $E$ is the superset of $a$ that minimizes the generalized entropy. We prove that $E$ satisfies a no-cloning theorem and appropriate forms of strong subadditivity and nesting. If $a$ lies near a portion $A$ of the conformal boundary of AdS, our proposal reduces to the Quantum Minimal Surface prescription applied to $A$. We also discuss possible covariant extensions of this proposal, although none prove completely satisfactory. Our results are consistent with the conjecture that information in $E$ that is spacelike to $a$ in the semiclassical description can nevertheless be recovered from $a$, by microscopic operators that break that description. We thus propose that $E$ quantifies the range of holographic encoding, an important nonlocal feature of quantum gravity, in general spacetimes. |
hep-th/0405164 | Laura Andrianopoli | L. Andrianopoli, S. Ferrara, M. A. Lledo' | Scherk-Schwarz Reduction of D=5 Special and Quaternionic Geometry | final version to be published on Class.Quant.Grav | Class.Quant.Grav. 21 (2004) 4677-4696 | 10.1088/0264-9381/21/19/013 | null | hep-th | null | We give the N=2 gauged supergravity interpretation of a generic D=4, N=2
theory as it comes from generalized Scherk-Schwarz reduction of D=5, N=2
(ungauged) supergravity. We focus on the geometric aspects of the D=4 data such
as the general form of the scalar potential and masses in terms of the gauging
of a ``flat group''. Higgs and super-Higgs mechanism are discussed in some
detail.
| [
{
"created": "Wed, 19 May 2004 13:02:32 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Sep 2004 15:30:30 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Andrianopoli",
"L.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Lledo'",
"M. A.",
""
]
] | We give the N=2 gauged supergravity interpretation of a generic D=4, N=2 theory as it comes from generalized Scherk-Schwarz reduction of D=5, N=2 (ungauged) supergravity. We focus on the geometric aspects of the D=4 data such as the general form of the scalar potential and masses in terms of the gauging of a ``flat group''. Higgs and super-Higgs mechanism are discussed in some detail. |
hep-th/0012071 | Mourad | E. Dudas and J. Mourad | Consistent gravitino couplings in non-supersymmetric strings | 12 pages, references added | Phys.Lett. B514 (2001) 173-182 | 10.1016/S0370-2693(01)00777-8 | LPT-Orsay 00/128 | hep-th | null | The massless spectrum of the ten dimensional USp(32) type I string has an N=1
supergravity multiplet coupled to non-supersymmetric matter. This raises the
question of the consistency of the gravitino interactions. We resolve this
apparent puzzle by arguing for the existence of a local supersymmetry which is
non-linearly realised in the open sector. We determine the leading order low
energy effective Lagrangian. Similar results are expected to apply to lower
dimensional type I models where supergravity is coupled to non-supersymmetric
branes.
| [
{
"created": "Fri, 8 Dec 2000 15:17:42 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2001 16:54:07 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Dudas",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] | The massless spectrum of the ten dimensional USp(32) type I string has an N=1 supergravity multiplet coupled to non-supersymmetric matter. This raises the question of the consistency of the gravitino interactions. We resolve this apparent puzzle by arguing for the existence of a local supersymmetry which is non-linearly realised in the open sector. We determine the leading order low energy effective Lagrangian. Similar results are expected to apply to lower dimensional type I models where supergravity is coupled to non-supersymmetric branes. |
hep-th/0609025 | Djordje Sijacki | Djordje Sijacki | Superbranes and Generic Target Space Curving | null | null | null | null | hep-th gr-qc | null | Embedding of a Green-Schwarz superbrane into a generic curved target space in
a general covariant way is considered. It is demonstrated explicitely, that the
customary superbrane formulation based on finite-component spinors extends to a
superspaces of restricted curving only, with the General Coordinate
Transformations realized nonlinearly over its orthogonal type subgroups.
Infinite-component, world, spinors and a recently constructed corresponding
Dirac-like equation, enable a possibility of a manifestly covariant generic
curved target space superbrane formulation.
| [
{
"created": "Mon, 4 Sep 2006 12:38:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sijacki",
"Djordje",
""
]
] | Embedding of a Green-Schwarz superbrane into a generic curved target space in a general covariant way is considered. It is demonstrated explicitely, that the customary superbrane formulation based on finite-component spinors extends to a superspaces of restricted curving only, with the General Coordinate Transformations realized nonlinearly over its orthogonal type subgroups. Infinite-component, world, spinors and a recently constructed corresponding Dirac-like equation, enable a possibility of a manifestly covariant generic curved target space superbrane formulation. |
2110.15562 | Sze Ning Hazel Mak | S. James Gates, Jr., Yangrui Hu and S.-N. Hazel Mak | On 1D, N = 4 Supersymmetric SYK-Type Models (II) | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is an extension of our last 1D, N = 4 supersymmetric SYK paper
[arXiv:2103.11899]. In this paper we introduced the complex linear
supermultiplet (CLS), which is "usefully inequivalent" to the chiral
supermultiplet. We construct three types of models based on the complex linear
supermultiplet containing quartic interactions from modified CLS kinetic term,
quartic interactions from 3-pt vertices integrated over the whole superspace,
and 2(q-1)-pt interactions generated via superpotentials respectively. A strong
evidence for the inevitability of dynamical bosons for 1D, N = 4 SYK is also
presented.
| [
{
"created": "Fri, 29 Oct 2021 06:09:27 GMT",
"version": "v1"
}
] | 2021-11-01 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Hu",
"Yangrui",
""
],
[
"Mak",
"S. -N. Hazel",
""
]
] | This paper is an extension of our last 1D, N = 4 supersymmetric SYK paper [arXiv:2103.11899]. In this paper we introduced the complex linear supermultiplet (CLS), which is "usefully inequivalent" to the chiral supermultiplet. We construct three types of models based on the complex linear supermultiplet containing quartic interactions from modified CLS kinetic term, quartic interactions from 3-pt vertices integrated over the whole superspace, and 2(q-1)-pt interactions generated via superpotentials respectively. A strong evidence for the inevitability of dynamical bosons for 1D, N = 4 SYK is also presented. |
hep-th/0607050 | Liam McAllister | Daniel Baumann, Anatoly Dymarsky, Igor R. Klebanov, Juan Maldacena,
Liam McAllister, Arvind Murugan | On D3-brane Potentials in Compactifications with Fluxes and Wrapped
D-branes | 45 pages, 1 figure; v2: added reference, clarified notation | JHEP 0611:031,2006 | 10.1088/1126-6708/2006/11/031 | PUPT-2202 | hep-th astro-ph | null | We study the potential governing D3-brane motion in a warped throat region of
a string compactification with internal fluxes and wrapped D-branes. If the
Kahler moduli of the compact space are stabilized by nonperturbative effects, a
D3-brane experiences a force due to its interaction with D-branes wrapping
certain four-cycles. We compute this interaction, as a correction to the warped
four-cycle volume, using explicit throat backgrounds in supergravity. This
amounts to a closed-string channel computation of the loop corrections to the
nonperturbative superpotential that stabilizes the volume. We demonstrate for
warped conical spaces that the superpotential correction is given by the
embedding equation specifying the wrapped four-cycle, in agreement with the
general form proposed by Ganor. Our approach automatically provides a solution
to the problem of defining a holomorphic gauge coupling on wrapped D7-branes in
a background with D3-branes. Finally, our results have applications to
cosmological inflation models in which the inflaton is modeled by a D3-brane
moving in a warped throat.
| [
{
"created": "Fri, 7 Jul 2006 17:09:36 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Aug 2006 16:12:29 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Baumann",
"Daniel",
""
],
[
"Dymarsky",
"Anatoly",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"McAllister",
"Liam",
""
],
[
"Murugan",
"Arvind",
""
]
] | We study the potential governing D3-brane motion in a warped throat region of a string compactification with internal fluxes and wrapped D-branes. If the Kahler moduli of the compact space are stabilized by nonperturbative effects, a D3-brane experiences a force due to its interaction with D-branes wrapping certain four-cycles. We compute this interaction, as a correction to the warped four-cycle volume, using explicit throat backgrounds in supergravity. This amounts to a closed-string channel computation of the loop corrections to the nonperturbative superpotential that stabilizes the volume. We demonstrate for warped conical spaces that the superpotential correction is given by the embedding equation specifying the wrapped four-cycle, in agreement with the general form proposed by Ganor. Our approach automatically provides a solution to the problem of defining a holomorphic gauge coupling on wrapped D7-branes in a background with D3-branes. Finally, our results have applications to cosmological inflation models in which the inflaton is modeled by a D3-brane moving in a warped throat. |
hep-th/9703097 | Vladimir Nesterenko | V. V. Nesterenko (Joint Institute for Nuclear Research, Russia) and I.
G. Pirozhenko (Petrozavodsk State University, Russia) | Justification of the zeta function renormalization in rigid string model | 18 pages, LaTex file and 3 figure files in Postscript format; some
misprints are corrected and figure files are included | J.Math.Phys. 38 (1997) 6265-6280 | 10.1063/1.532211 | JINR E2-97-75 | hep-th | null | A consistent procedure for regularization of divergences and for the
subsequent renormalization of the string tension is proposed in the framework
of the one-loop calculation of the interquark potential generated by the
Polyakov-Kleinert string. In this way, a justification of the formal treatment
of divergences by analytic continuation of the Riemann and Epstein-Hurwitz zeta
functions is given. A spectral representation for the renormalized string
energy at zero temperature is derived, which enables one to find the Casimir
energy in this string model at nonzero temperature very easy.
| [
{
"created": "Thu, 13 Mar 1997 13:39:41 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Mar 1999 05:47:28 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Nesterenko",
"V. V.",
"",
"Joint Institute for Nuclear Research, Russia"
],
[
"Pirozhenko",
"I. G.",
"",
"Petrozavodsk State University, Russia"
]
] | A consistent procedure for regularization of divergences and for the subsequent renormalization of the string tension is proposed in the framework of the one-loop calculation of the interquark potential generated by the Polyakov-Kleinert string. In this way, a justification of the formal treatment of divergences by analytic continuation of the Riemann and Epstein-Hurwitz zeta functions is given. A spectral representation for the renormalized string energy at zero temperature is derived, which enables one to find the Casimir energy in this string model at nonzero temperature very easy. |
hep-th/0506028 | Dmitry Krotov | D.Krotov, A.Morozov | A Solvable Sector of AdS Theory | 14 pages, 8 figures | JHEP 0510:062,2005 | 10.1088/1126-6708/2005/10/062 | null | hep-th | null | Field theory in space-time with boundary has an interesting sub-sector, where
propagator is difference of those with Neumann and Dirichlet boundary
conditions. Such boundary-induced theory in the bulk is essentially holomorphic
and is exactly solvable in the sense that all orders of perturbation theory can
be summed up explicitly into effective non-local theory at the boundary. This
provides a non-trivial realization of holography principle. In the particular
example of scalar fields of dimensions \Delta_\pm = (d\pm 1)/2 in AdS_{d+1} the
corresponding effective conformal theory has propagators |\vec p |^{-1} and
vertices (|\vec p_1| + ... + |\vec p_n|)^{-s_n} of valence n in momentum
representation, with s_n = (n-2)\Delta_- - 1. This extraordinary simplicity of
certain amplitudes in AdS seems inspiring and can be helpful for analyzing
corollaries of open-closed string duality for particular field-theory
sub-sectors of string theory.
| [
{
"created": "Thu, 2 Jun 2005 19:42:04 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jun 2005 19:26:44 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Krotov",
"D.",
""
],
[
"Morozov",
"A.",
""
]
] | Field theory in space-time with boundary has an interesting sub-sector, where propagator is difference of those with Neumann and Dirichlet boundary conditions. Such boundary-induced theory in the bulk is essentially holomorphic and is exactly solvable in the sense that all orders of perturbation theory can be summed up explicitly into effective non-local theory at the boundary. This provides a non-trivial realization of holography principle. In the particular example of scalar fields of dimensions \Delta_\pm = (d\pm 1)/2 in AdS_{d+1} the corresponding effective conformal theory has propagators |\vec p |^{-1} and vertices (|\vec p_1| + ... + |\vec p_n|)^{-s_n} of valence n in momentum representation, with s_n = (n-2)\Delta_- - 1. This extraordinary simplicity of certain amplitudes in AdS seems inspiring and can be helpful for analyzing corollaries of open-closed string duality for particular field-theory sub-sectors of string theory. |
hep-th/0111113 | Peter Mayr | W. Lerche and P. Mayr | On N=1 Mirror Symmetry for Open Type II Strings | harvmac, 35 pages (b), 2 figures; v2: typos & references corrected | null | null | CERN-TH/2001-301 | hep-th | null | We study the open string extension of the mirror map for N=1 supersymmetric
type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition
is given in terms of a system of differential equations that annihilate certain
period and chain integrals. The solutions describe the flat coordinates on the
N=1 parameter space, and the exact disc instanton corrected superpotential on
the D-brane world-volume. A gauged linear sigma model for the combined
open-closed string system is also given. It allows to use methods of toric
geometry to describe D-brane phase transitions and the N=1 K\"ahler cone.
Applications to a variety of D-brane geometries are described in some detail.
| [
{
"created": "Tue, 13 Nov 2001 20:47:49 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2002 17:23:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Lerche",
"W.",
""
],
[
"Mayr",
"P.",
""
]
] | We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain period and chain integrals. The solutions describe the flat coordinates on the N=1 parameter space, and the exact disc instanton corrected superpotential on the D-brane world-volume. A gauged linear sigma model for the combined open-closed string system is also given. It allows to use methods of toric geometry to describe D-brane phase transitions and the N=1 K\"ahler cone. Applications to a variety of D-brane geometries are described in some detail. |
1808.06086 | Safi Rafie-Zinedine | Safi Rafie-Zinedine | Simplifying Quantum Gravity Calculations | 69 pages, Master thesis supervised by Prof. Johan Bijnens.
https://lup.lub.lu.se/student-papers/search/publication/8956258 | null | null | LU TP 18-08 | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The Einstein-Hilbert Lagrangian for gravity is non-renormalizable at loop
level. However, it can be treated in the effective field theory framework which
means that gravity as an effective theory can be renormalized when a proper
expansion of the effective Lagrangian is made. At the same time, the Feynman
rules for gravity are very complicated, although the resulting amplitudes do
not have the same complications. Therefore, in this thesis we want to simplify
the Feynman rules as much as possible by using the most general parameterized
gauge condition, adding all possible parameterized total derivative terms and
redefining the gravitational, ghosts and scalar fields in a general
parameterization way. By choosing the parameters in a specific way, we obtain
simplified Feynman rules, especially the triple and quadruple graviton vertices
are simplified. In addition, we verify our simplified rules by calculating the
amplitudes of scalar-graviton and graviton-graviton scattering at tree level
using the simplified and standard Feynman rules. Finally, we show the utility
of these simplified rules by calculating some one-loop diagrams for
scalar-graviton scattering and comparing to the standard Feynman rules.
| [
{
"created": "Sat, 18 Aug 2018 13:42:15 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Aug 2018 21:56:19 GMT",
"version": "v2"
}
] | 2018-08-23 | [
[
"Rafie-Zinedine",
"Safi",
""
]
] | The Einstein-Hilbert Lagrangian for gravity is non-renormalizable at loop level. However, it can be treated in the effective field theory framework which means that gravity as an effective theory can be renormalized when a proper expansion of the effective Lagrangian is made. At the same time, the Feynman rules for gravity are very complicated, although the resulting amplitudes do not have the same complications. Therefore, in this thesis we want to simplify the Feynman rules as much as possible by using the most general parameterized gauge condition, adding all possible parameterized total derivative terms and redefining the gravitational, ghosts and scalar fields in a general parameterization way. By choosing the parameters in a specific way, we obtain simplified Feynman rules, especially the triple and quadruple graviton vertices are simplified. In addition, we verify our simplified rules by calculating the amplitudes of scalar-graviton and graviton-graviton scattering at tree level using the simplified and standard Feynman rules. Finally, we show the utility of these simplified rules by calculating some one-loop diagrams for scalar-graviton scattering and comparing to the standard Feynman rules. |
hep-th/0107222 | Boris Pioline | D. Kazhdan, B. Pioline, A. Waldron | Minimal representations, spherical vectors, and exceptional theta series
I | 41 pages, uses JHEP.cls, form and mathematica files at
http://www.lpthe.jussieu.fr/~pioline/minrep/; v2: discussion of p-adic
spherical vector and adelic formulation of theta series in sec 2.3,
discussion of standard minimal rep improved in sec 3.1, complex spherical
vector obtained in sec 4.5, plus various cosmetic changes. Final version to
appear in CMP | Commun.Math.Phys.226:1-40,2002 | 10.1007/s002200200601 | BRX-TH493, HUTP-01/A036, LPTHE/01-49 | hep-th math.RT | null | Theta series for exceptional groups have been suggested as a possible
description of the eleven-dimensional quantum supermembrane. We present
explicit formulae for these automorphic forms whenever the underlying Lie group
$G$ is split (or complex) and simply laced. Specifically, we review and
construct explicitly the minimal representation of $G$, generalizing the
Schr\"odinger representation of symplectic groups. We compute the spherical
vector in this representation, i.e. the wave function invariant under the
maximal compact subgroup, which plays the role of the summand in the
automorphic theta series. We also determine the spherical vector over the
complex field. We outline how the spherical vector over the $p$-adic number
fields provides the summation measure in the theta series, postponing its
determination to a sequel of this work. The simplicity of our result is
suggestive of a new Born-Infeld-like description of the membrane where
U-duality is realized non-linearly. Our results may also be used in
constructing quantum mechanical systems with spectrum generating symmetries.
| [
{
"created": "Wed, 25 Jul 2001 17:03:07 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2001 09:29:08 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Kazhdan",
"D.",
""
],
[
"Pioline",
"B.",
""
],
[
"Waldron",
"A.",
""
]
] | Theta series for exceptional groups have been suggested as a possible description of the eleven-dimensional quantum supermembrane. We present explicit formulae for these automorphic forms whenever the underlying Lie group $G$ is split (or complex) and simply laced. Specifically, we review and construct explicitly the minimal representation of $G$, generalizing the Schr\"odinger representation of symplectic groups. We compute the spherical vector in this representation, i.e. the wave function invariant under the maximal compact subgroup, which plays the role of the summand in the automorphic theta series. We also determine the spherical vector over the complex field. We outline how the spherical vector over the $p$-adic number fields provides the summation measure in the theta series, postponing its determination to a sequel of this work. The simplicity of our result is suggestive of a new Born-Infeld-like description of the membrane where U-duality is realized non-linearly. Our results may also be used in constructing quantum mechanical systems with spectrum generating symmetries. |
1701.03518 | Sungbong Chun | Sungbong Chun | Junctions of refined Wilson lines and one-parameter deformation of
quantum groups | null | null | null | null | hep-th math-ph math.GT math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study junctions of Wilson lines in refined SU(N) Chern-Simons theory and
their local relations. We focus on junctions of Wilson lines in antisymmetric
and symmetric powers of the fundamental representation and propose a set of
local relations which realize one-parameter deformations of quantum groups
$\dot{U}_{q}(\mathfrak{sl}_{m})$ and $\dot{U}_{q}(\mathfrak{sl}_{n|m})$.
| [
{
"created": "Thu, 12 Jan 2017 22:05:14 GMT",
"version": "v1"
}
] | 2017-01-18 | [
[
"Chun",
"Sungbong",
""
]
] | We study junctions of Wilson lines in refined SU(N) Chern-Simons theory and their local relations. We focus on junctions of Wilson lines in antisymmetric and symmetric powers of the fundamental representation and propose a set of local relations which realize one-parameter deformations of quantum groups $\dot{U}_{q}(\mathfrak{sl}_{m})$ and $\dot{U}_{q}(\mathfrak{sl}_{n|m})$. |
hep-th/0609180 | Joseph Conlon | Joseph P. Conlon, Daniel Cremades, Fernando Quevedo | Kahler Potentials of Chiral Matter Fields for Calabi-Yau String
Compactifications | JHEP style, 24 pages, 4 figures. v2: New section and reference added | JHEP 0701:022,2007 | 10.1088/1126-6708/2007/01/022 | DAMTP-2006-79, NSF-KITP-06-81 | hep-th | null | The Kahler potential is the least understood part of effective N=1
supersymmetric theories derived from string compactifications. Even at
tree-level, the Kahler potential for the physical matter fields, as a function
of the moduli fields, is unknown for generic Calabi-Yau compactifications and
has only been computed for simple toroidal orientifolds. In this paper we
describe how the modular dependence of matter metrics may be extracted in a
perturbative expansion in the Kahler moduli. Scaling arguments, locality and
knowledge of the structure of the physical Yukawa couplings are sufficient to
find the relevant Kahler potential. Using these techniques we compute the
`modular weights' for bifundamental matter on wrapped D7 branes for
large-volume IIB Calabi-Yau flux compactifications. We also apply our
techniques to the case of toroidal compactifications, obtaining results
consistent with those present in the literature. Our techniques do not provide
the complex structure moduli dependence of the Kahler potential, but are
sufficient to extract relevant information about the canonically normalised
matter fields and the soft supersymmetry breaking terms in gravity mediated
scenarios.
| [
{
"created": "Tue, 26 Sep 2006 09:44:43 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2006 14:24:25 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Conlon",
"Joseph P.",
""
],
[
"Cremades",
"Daniel",
""
],
[
"Quevedo",
"Fernando",
""
]
] | The Kahler potential is the least understood part of effective N=1 supersymmetric theories derived from string compactifications. Even at tree-level, the Kahler potential for the physical matter fields, as a function of the moduli fields, is unknown for generic Calabi-Yau compactifications and has only been computed for simple toroidal orientifolds. In this paper we describe how the modular dependence of matter metrics may be extracted in a perturbative expansion in the Kahler moduli. Scaling arguments, locality and knowledge of the structure of the physical Yukawa couplings are sufficient to find the relevant Kahler potential. Using these techniques we compute the `modular weights' for bifundamental matter on wrapped D7 branes for large-volume IIB Calabi-Yau flux compactifications. We also apply our techniques to the case of toroidal compactifications, obtaining results consistent with those present in the literature. Our techniques do not provide the complex structure moduli dependence of the Kahler potential, but are sufficient to extract relevant information about the canonically normalised matter fields and the soft supersymmetry breaking terms in gravity mediated scenarios. |
1511.04074 | Joshua Qualls | Joshua D. Qualls | Lectures on Conformal Field Theory | V2 has corrected typos, references, and additional references and
thanks; Lecture notes based on arXiv:1302.0884, arXiv:0908.0333, and others
by other authors; 18 figures, 185 pictures, 80 HW problems and 45 exercises | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lectures notes are based on courses given at National Taiwan
University, National Chiao-Tung University, and National Tsing Hua University
in the spring term of 2015. Although the course was offered primarily for
graduate students, these lecture notes have been prepared for a more general
audience. They are intended as an introduction to conformal field theories in
various dimensions, with applications related to topics of particular interest:
topics include the conformal bootstrap program, boundary conformal field
theory, and applications related to the AdS/CFT correspondence. We assume the
reader to be familiar with quantum mechanics at the graduate level and to have
some basic knowledge of quantum field theory. Familiarity with string theory is
not a prerequisite for this lectures, although it can only help.
| [
{
"created": "Thu, 12 Nov 2015 20:59:54 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2016 15:59:25 GMT",
"version": "v2"
}
] | 2016-05-20 | [
[
"Qualls",
"Joshua D.",
""
]
] | These lectures notes are based on courses given at National Taiwan University, National Chiao-Tung University, and National Tsing Hua University in the spring term of 2015. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. We assume the reader to be familiar with quantum mechanics at the graduate level and to have some basic knowledge of quantum field theory. Familiarity with string theory is not a prerequisite for this lectures, although it can only help. |
0908.0737 | Edward Shuryak | Edward Shuryak | Deconfinement, Monopoles and New Phenomena in Heavy Ion Collisions | Written version of talk given at "Shifmania" conference, June 2009,
Minneapolis, related to 60-the birthday of Misha Shifman | Int.J.Mod.Phys.A25:532-542,2010 | 10.1142/S0217751X10048822 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss various manifestations of the "magnetic scenario" for the
quark-gluon plasma viewed as a mixture of two plasmas, of electrically (quark
and gluons) as well as magnetically charged quasiparticles. Near the
deconfinement phase transition, $T\approx T_c$ very small density of free
quarks should lead to negligible screening of electric field while magnetic
screening remains strong. The consequence of this should be existence of a
"corona" of the QGP, in a way similar to that of the Sun, in which electric
fields influence propagation of perturbations and even form metastable flux
tubes. The natural tool for its description is (dual) magnetohydrodynamics:
among observable consequences is splitting of sound into two modes, with larger
and smaller velocity. The latter can be zero, hinting for formation of
pressure-stabilized flux tubes. Remarkably, recent experimental discoveries at
RHIC show effects similar to expected for "corona structures". In dihadron
correlation function with large-$p_t$ trigger there are a "cone" and a "hard
ridge",while the so called "soft ridge" is a similar structure seen without
hard trigger. They seem to be remnants of flux tubes, which -- contrary to
naive expectations -- seem to break less often in near-$T_c$ matter than do
confining strings in vacuum.
| [
{
"created": "Wed, 5 Aug 2009 20:04:21 GMT",
"version": "v1"
}
] | 2010-02-16 | [
[
"Shuryak",
"Edward",
""
]
] | We discuss various manifestations of the "magnetic scenario" for the quark-gluon plasma viewed as a mixture of two plasmas, of electrically (quark and gluons) as well as magnetically charged quasiparticles. Near the deconfinement phase transition, $T\approx T_c$ very small density of free quarks should lead to negligible screening of electric field while magnetic screening remains strong. The consequence of this should be existence of a "corona" of the QGP, in a way similar to that of the Sun, in which electric fields influence propagation of perturbations and even form metastable flux tubes. The natural tool for its description is (dual) magnetohydrodynamics: among observable consequences is splitting of sound into two modes, with larger and smaller velocity. The latter can be zero, hinting for formation of pressure-stabilized flux tubes. Remarkably, recent experimental discoveries at RHIC show effects similar to expected for "corona structures". In dihadron correlation function with large-$p_t$ trigger there are a "cone" and a "hard ridge",while the so called "soft ridge" is a similar structure seen without hard trigger. They seem to be remnants of flux tubes, which -- contrary to naive expectations -- seem to break less often in near-$T_c$ matter than do confining strings in vacuum. |
1707.06326 | Yuta Hamada | Yuta Hamada, Gary Shiu | Weak Gravity Conjecture, Multiple Point Principle and the Standard Model
Landscape | 56 pages, 22 figures, published version | JHEP 1711 (2017) 043 | 10.1007/JHEP11(2017)043 | MAD-TH-17-04 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The requirement for an ultraviolet completable theory to be well-behaved upon
compactification has been suggested as a guiding principle for distinguishing
the landscape from the swampland. Motivated by the weak gravity conjecture and
the multiple point principle, we investigate the vacuum structure of the
standard model compactified on $S^1$ and $T^2$. The measured value of the Higgs
mass implies, in addition to the electroweak vacuum, the existence of a new
vacuum where the Higgs field value is around the Planck scale. We explore two-
and three-dimensional critical points of the moduli potential arising from
compactifications of the electroweak vacuum as well as this high scale vacuum,
in the presence of Majorana/Dirac neutrinos and/or axions. We point out
potential sources of instability for these lower dimensional critical points in
the standard model landscape. We also point out that a high scale $AdS_4$
vacuum of the Standard Model, if exists, would be at odd with the conjecture
that all non-supersymmetric $AdS$ vacua are unstable. We argue that, if we
require a degeneracy between three- and four-dimensional vacua as suggested by
the multiple point principle, the neutrinos are predicted to be Dirac, with the
mass of the lightest neutrino O(1-10) meV, which may be tested by future CMB,
large scale structure and $21$cm line observations.
| [
{
"created": "Thu, 20 Jul 2017 00:10:07 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2017 01:49:44 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Nov 2017 21:15:57 GMT",
"version": "v3"
}
] | 2017-11-15 | [
[
"Hamada",
"Yuta",
""
],
[
"Shiu",
"Gary",
""
]
] | The requirement for an ultraviolet completable theory to be well-behaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. Motivated by the weak gravity conjecture and the multiple point principle, we investigate the vacuum structure of the standard model compactified on $S^1$ and $T^2$. The measured value of the Higgs mass implies, in addition to the electroweak vacuum, the existence of a new vacuum where the Higgs field value is around the Planck scale. We explore two- and three-dimensional critical points of the moduli potential arising from compactifications of the electroweak vacuum as well as this high scale vacuum, in the presence of Majorana/Dirac neutrinos and/or axions. We point out potential sources of instability for these lower dimensional critical points in the standard model landscape. We also point out that a high scale $AdS_4$ vacuum of the Standard Model, if exists, would be at odd with the conjecture that all non-supersymmetric $AdS$ vacua are unstable. We argue that, if we require a degeneracy between three- and four-dimensional vacua as suggested by the multiple point principle, the neutrinos are predicted to be Dirac, with the mass of the lightest neutrino O(1-10) meV, which may be tested by future CMB, large scale structure and $21$cm line observations. |
1710.01953 | Chris White | Nadia Bahjat-Abbas, Andr\'es Luna and Chris D. White | The Kerr-Schild double copy in curved spacetime | 25 pages, 2 figures | null | 10.1007/JHEP12(2017)004 | QMUL-PH-17-16 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The double copy is a much-studied relationship between scattering amplitudes
in gauge and gravity theories, that has subsequently been extended to classical
field solutions. In nearly all previous examples, the graviton field is defined
around Minkowski space. Recently, it has been suggested that one may set up a
double copy for gravitons defined around a non-trivial background. We
investigate this idea from the point of view of the classical double copy.
First, we use Kerr-Schild spacetimes to construct graviton solutions in curved
space, as double copies of gauge fields on non-zero gauge backgrounds. Next, we
find that we can reinterpret such cases in terms of a graviton on a
non-Minkowski background, whose single copy is a gauge field in the same
background spacetime. The latter type of double copy persists even when the
background is not of Kerr-Schild form, and we provide examples involving
conformally flat metrics. Our results will be useful in extending the remit of
the double copy, including to possible cosmological applications.
| [
{
"created": "Thu, 5 Oct 2017 10:31:36 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Bahjat-Abbas",
"Nadia",
""
],
[
"Luna",
"Andrés",
""
],
[
"White",
"Chris D.",
""
]
] | The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined around Minkowski space. Recently, it has been suggested that one may set up a double copy for gravitons defined around a non-trivial background. We investigate this idea from the point of view of the classical double copy. First, we use Kerr-Schild spacetimes to construct graviton solutions in curved space, as double copies of gauge fields on non-zero gauge backgrounds. Next, we find that we can reinterpret such cases in terms of a graviton on a non-Minkowski background, whose single copy is a gauge field in the same background spacetime. The latter type of double copy persists even when the background is not of Kerr-Schild form, and we provide examples involving conformally flat metrics. Our results will be useful in extending the remit of the double copy, including to possible cosmological applications. |
2010.07105 | Mahya Mohammadi | Mahya Mohammadi and Ahmad Sheykhi | Lifshitz scaling effects on the holographic p-wave superconductors
coupled to nonlinear electrodynamics | It's accepted by EPJC | Eur. Phys. J. C (2020) 80:928 | 10.1140/epjc/s10052-020-08489-4 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We employ gauge/gravity duality to study the effects of Lifshitz scaling on
the holographic $p$ wave superconductors in the presence of Born-Infeld (BI)
nonlinear electrodynamics. By using the shooting method in the probe limit, we
calculate the relation between critical temperature $T_{c}$ and $\rho^{z/d}$
numerically for different values of mass, nonlinear parameter $b$ and Lifshitz
critical exponent $z$ in various dimensions. We observe that critical
temperature decreases by increasing $b$, $z$ or the mass parameter $m$ which
makes conductor/superconductor phase transition harder to form. In addition, we
analyze the electrical conductivity and find the behavior of real and imaginary
parts as a function of frequency which depend on the model parameters. However,
some universal behaviors are seen. For instance at low frequencies, real part
of conductivity shows a delta function behavior while the imaginary part has a
pole which means that these two parts are connected to each other through
Kramers-Kronig relation. The behavior of real part of conductivity in the large
frequency regime can be achieved by $Re[\sigma]=\omega^{D-4}$. Furthermore,
with increasing the Lifshitz scaling $z$, the energy gap and the minimum values
of the real and imaginary parts become unclear.
| [
{
"created": "Sun, 27 Sep 2020 19:02:02 GMT",
"version": "v1"
}
] | 2020-10-20 | [
[
"Mohammadi",
"Mahya",
""
],
[
"Sheykhi",
"Ahmad",
""
]
] | We employ gauge/gravity duality to study the effects of Lifshitz scaling on the holographic $p$ wave superconductors in the presence of Born-Infeld (BI) nonlinear electrodynamics. By using the shooting method in the probe limit, we calculate the relation between critical temperature $T_{c}$ and $\rho^{z/d}$ numerically for different values of mass, nonlinear parameter $b$ and Lifshitz critical exponent $z$ in various dimensions. We observe that critical temperature decreases by increasing $b$, $z$ or the mass parameter $m$ which makes conductor/superconductor phase transition harder to form. In addition, we analyze the electrical conductivity and find the behavior of real and imaginary parts as a function of frequency which depend on the model parameters. However, some universal behaviors are seen. For instance at low frequencies, real part of conductivity shows a delta function behavior while the imaginary part has a pole which means that these two parts are connected to each other through Kramers-Kronig relation. The behavior of real part of conductivity in the large frequency regime can be achieved by $Re[\sigma]=\omega^{D-4}$. Furthermore, with increasing the Lifshitz scaling $z$, the energy gap and the minimum values of the real and imaginary parts become unclear. |
0705.1908 | Henryk Arodz | H. Arod\'z, P. Klimas, T. Tyranowski | Self-similarity for V-shaped field potentials - further examples | 17 pages, 4 figures | ActaPhys.Polon.B38:2537-2552,2007 | null | TPJU-4/2007 | hep-th math-ph math.MP nlin.SI | null | Three new models with V-shaped field potentials $U$ are considered: a complex
scalar field $X$ in 1+1 dimensions with $U(X)= |X|$, a real scalar field $\Phi$
in 2+1 dimensions with $U(\Phi) = |\Phi|$, and a real scalar field $\phi$ in
1+1 dimensions with $U{\phi) = \phi \Theta(\phi)$ where $\Theta$ is the step
function. Several explicit, self-similar solutions are found. They describe
interesting dynamical processes, for example, `freezing' a string in a static
configuration.
| [
{
"created": "Mon, 14 May 2007 11:13:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arodź",
"H.",
""
],
[
"Klimas",
"P.",
""
],
[
"Tyranowski",
"T.",
""
]
] | Three new models with V-shaped field potentials $U$ are considered: a complex scalar field $X$ in 1+1 dimensions with $U(X)= |X|$, a real scalar field $\Phi$ in 2+1 dimensions with $U(\Phi) = |\Phi|$, and a real scalar field $\phi$ in 1+1 dimensions with $U{\phi) = \phi \Theta(\phi)$ where $\Theta$ is the step function. Several explicit, self-similar solutions are found. They describe interesting dynamical processes, for example, `freezing' a string in a static configuration. |
1608.03570 | Riccardo Borsato | Riccardo Borsato and Linus Wulff | Target space supergeometry of $\eta$ and $\lambda$-deformed strings | 32 pages. Remarks of referee addressed: references and comments
added. Published version | null | 10.1007/JHEP10(2016)045 | Imperial-TP-LW-2016-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the integrable $\eta$ and $\lambda$-deformations of supercoset
string sigma models, the basic example being the deformation of the $AdS_5
\times S^5$ superstring. We prove that the kappa symmetry variations for these
models are of the standard Green-Schwarz form, and we determine the target
space supergeometry by computing the superspace torsion. We check that the
$\lambda$-deformation gives rise to a standard (generically type II*)
supergravity background; for the $\eta$-model the requirement that the target
space is a supergravity solution translates into a simple condition on the
R-matrix which enters the definition of the deformation. We further construct
all such non-abelian R-matrices of rank four which solve the homogeneous
classical Yang-Baxter equation for the algebra so(2,4). We argue that the
corresponding backgrounds are equivalent to sequences of non-commuting
TsT-transformations, and verify this explicitly for some of the examples.
| [
{
"created": "Thu, 11 Aug 2016 19:14:21 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2016 12:47:41 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2016 14:16:47 GMT",
"version": "v3"
}
] | 2016-11-03 | [
[
"Borsato",
"Riccardo",
""
],
[
"Wulff",
"Linus",
""
]
] | We study the integrable $\eta$ and $\lambda$-deformations of supercoset string sigma models, the basic example being the deformation of the $AdS_5 \times S^5$ superstring. We prove that the kappa symmetry variations for these models are of the standard Green-Schwarz form, and we determine the target space supergeometry by computing the superspace torsion. We check that the $\lambda$-deformation gives rise to a standard (generically type II*) supergravity background; for the $\eta$-model the requirement that the target space is a supergravity solution translates into a simple condition on the R-matrix which enters the definition of the deformation. We further construct all such non-abelian R-matrices of rank four which solve the homogeneous classical Yang-Baxter equation for the algebra so(2,4). We argue that the corresponding backgrounds are equivalent to sequences of non-commuting TsT-transformations, and verify this explicitly for some of the examples. |
2311.11640 | Alesandro Santos | V. G. Prata, A. F. Santos and Faqir C. Khanna | Stefan-Boltzmann law and Casimir effect for dark photons | 14 pages, accepted for publication in EPJC | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, the existence of a massive dark photon, associated with a new
gauge group is considered. The dark photon can be kinetically mixed with the
photon. To study some applications, the thermo field dynamics formalism is
used. Exploring the topological structure of this approach, the influence of
dark photons on the Stefan-Boltzmann law and the Casimir effect at zero and
finite temperature is calculated.
| [
{
"created": "Mon, 20 Nov 2023 09:59:23 GMT",
"version": "v1"
}
] | 2023-11-21 | [
[
"Prata",
"V. G.",
""
],
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] | In this paper, the existence of a massive dark photon, associated with a new gauge group is considered. The dark photon can be kinetically mixed with the photon. To study some applications, the thermo field dynamics formalism is used. Exploring the topological structure of this approach, the influence of dark photons on the Stefan-Boltzmann law and the Casimir effect at zero and finite temperature is calculated. |
hep-th/9803111 | Joseph A. Minahan | Joseph A. Minahan (USC and ITP) | Quark-Monopole Potentials in Large N Super Yang-Mills | 10 pages (harvmac), 2 figures; v.2 typos corrected, one paragraph
rewritten | Adv.Theor.Math.Phys.2:559-569,1998 | null | USC-98/004 | hep-th | null | We compute the quark-monopole potential for ${\cal N}=4$ super Yang-Mills in
the large $N$ limit. We find an attractive potential that falls off as 1/L and
is manifestly invariant under $g\to 1/g$. The strength of the potential is less
than the quark-antiquark and monopole-antimonopole potentials.
| [
{
"created": "Sat, 14 Mar 1998 00:54:55 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 1998 22:52:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Minahan",
"Joseph A.",
"",
"USC and ITP"
]
] | We compute the quark-monopole potential for ${\cal N}=4$ super Yang-Mills in the large $N$ limit. We find an attractive potential that falls off as 1/L and is manifestly invariant under $g\to 1/g$. The strength of the potential is less than the quark-antiquark and monopole-antimonopole potentials. |
hep-th/0201211 | Kai Chen | Kai Chen, Heng Fan, Bo-yu Hou, Kang-jie Shi, Wen-li Yang and
Rui-hongYue | Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by
Sklyanin Algebra and sl(n) Gaudin Algebra | 20 pages, no figures. This article is posted for archival purpose.
Proceeding of International Conference on "Gauge Theory and Integrable
Models" held in Kyoto University, Japan (Feb.1999) | Prog.Theor.Phys.Suppl.135:149-165,1999 | 10.1143/PTPS.135.149 | null | hep-th | null | The relationship between Elliptic Ruijsenaars-Schneider (RS) and
Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair
representations of the Elliptic RS and CM are reviewed. For n=2 case, the
eigenvalue and eigenfunction for Lame equation are found by using the result of
the Bethe ansatz method.
| [
{
"created": "Sat, 26 Jan 2002 13:30:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chen",
"Kai",
""
],
[
"Fan",
"Heng",
""
],
[
"Hou",
"Bo-yu",
""
],
[
"Shi",
"Kang-jie",
""
],
[
"Yang",
"Wen-li",
""
],
[
"Rui-hongYue",
"",
""
]
] | The relationship between Elliptic Ruijsenaars-Schneider (RS) and Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair representations of the Elliptic RS and CM are reviewed. For n=2 case, the eigenvalue and eigenfunction for Lame equation are found by using the result of the Bethe ansatz method. |
hep-th/0409258 | Leszek Hadasz | Leszek Hadasz, Zbigniew Jaskolski and Marcin Piatek | Analytic continuation formulae for the BPZ conformal block | 17 pages, LaTeX | Acta Phys.Polon. B36 (2005) 845-864 | null | TPJU - 14/2004, 01 09/2004 IFT UWr | hep-th | null | Using the techniques developed by Ponsot and Teschner we derive the formulae
for analytic continuation of the general 4-point conformal block.
| [
{
"created": "Fri, 24 Sep 2004 16:17:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hadasz",
"Leszek",
""
],
[
"Jaskolski",
"Zbigniew",
""
],
[
"Piatek",
"Marcin",
""
]
] | Using the techniques developed by Ponsot and Teschner we derive the formulae for analytic continuation of the general 4-point conformal block. |
hep-th/0305049 | Tadakatsu Sakai | Tadakatsu Sakai, Jacob Sonnenschein | Probing Flavored Mesons of Confining Gauge Theories by Supergravity | Latex2e, 23pages, two eps files, v2: gauge field configuration on a
probe corrected, RR 4-form potential modified, two references added, v3: a
reference added, v4: comments added | JHEP 0309:047,2003 | 10.1088/1126-6708/2003/09/047 | TAUP-2725-03 | hep-th | null | We incorporate massive flavored fundamental quarks in the supergravity dual
of N=1 SYM by introducing D7 brane probes to the Klebanov Strassler background.
We find probe configurations that solve the D7 equations of motion. We compute
the quadratic fluctuations of the D7 brane and extract the spectrum of vector
and pseudo scalar flavored mesons. The spectra found are discrete and exhibit a
mass gap of the order of the glueball mass.
| [
{
"created": "Wed, 7 May 2003 08:12:59 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2003 14:42:12 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jul 2003 09:29:53 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Aug 2003 14:01:01 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Sakai",
"Tadakatsu",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | We incorporate massive flavored fundamental quarks in the supergravity dual of N=1 SYM by introducing D7 brane probes to the Klebanov Strassler background. We find probe configurations that solve the D7 equations of motion. We compute the quadratic fluctuations of the D7 brane and extract the spectrum of vector and pseudo scalar flavored mesons. The spectra found are discrete and exhibit a mass gap of the order of the glueball mass. |
2111.03668 | Emil Have | Leo Bidussi, Jelle Hartong, Emil Have, J{\o}rgen Musaeus, Stefan
Prohazka | Fractons, dipole symmetries and curved spacetime | 78 pages including three appendices; v2: Typos fixed, several
improvements to Sec. 7; v3: updated to published version; v4: Fixed more
typos, updated refs | SciPost Phys. 12, 205 (2022) | 10.21468/SciPostPhys.12.6.205 | null | hep-th cond-mat.stat-mech cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study complex scalar theories with dipole symmetry and uncover a no-go
theorem that governs the structure of such theories and which, in particular,
reveals that a Gaussian theory with linearly realised dipole symmetry must be
Carrollian. The gauging of the dipole symmetry via the Noether procedure gives
rise to a scalar gauge field and a spatial symmetric tensor gauge field. We
construct a worldline theory of mobile objects that couple gauge invariantly to
these gauge fields. We systematically develop the canonical theory of a
dynamical symmetric tensor gauge field and arrive at scalar charge gauge
theories in both Hamiltonian and Lagrangian formalism. We compute the
dispersion relation of the modes of this gauge theory, and we point out an
analogy with partially massless gravitons. It is then shown that these
fractonic theories couple to Aristotelian geometry, which is a non-Lorentzian
geometry characterised by the absence of boost symmetries. We generalise
previous results by coupling fracton theories to curved space and time. We
demonstrate that complex scalar theories with dipole symmetry can be coupled to
general Aristotelian geometries as long as the symmetric tensor gauge field
remains a background field. The coupling of the scalar charge gauge theory
requires a Lagrange multiplier that restricts the Aristotelian geometries.
| [
{
"created": "Fri, 5 Nov 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2022 10:28:00 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jun 2022 19:17:25 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Jul 2022 16:23:05 GMT",
"version": "v4"
}
] | 2022-07-19 | [
[
"Bidussi",
"Leo",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Have",
"Emil",
""
],
[
"Musaeus",
"Jørgen",
""
],
[
"Prohazka",
"Stefan",
""
]
] | We study complex scalar theories with dipole symmetry and uncover a no-go theorem that governs the structure of such theories and which, in particular, reveals that a Gaussian theory with linearly realised dipole symmetry must be Carrollian. The gauging of the dipole symmetry via the Noether procedure gives rise to a scalar gauge field and a spatial symmetric tensor gauge field. We construct a worldline theory of mobile objects that couple gauge invariantly to these gauge fields. We systematically develop the canonical theory of a dynamical symmetric tensor gauge field and arrive at scalar charge gauge theories in both Hamiltonian and Lagrangian formalism. We compute the dispersion relation of the modes of this gauge theory, and we point out an analogy with partially massless gravitons. It is then shown that these fractonic theories couple to Aristotelian geometry, which is a non-Lorentzian geometry characterised by the absence of boost symmetries. We generalise previous results by coupling fracton theories to curved space and time. We demonstrate that complex scalar theories with dipole symmetry can be coupled to general Aristotelian geometries as long as the symmetric tensor gauge field remains a background field. The coupling of the scalar charge gauge theory requires a Lagrange multiplier that restricts the Aristotelian geometries. |
0710.2715 | Hiroyuki Abe | Hiroyuki Abe | Off-shell dimensional reduction of 5D orbifold supergravity | 4 pages, 2 figures; Talk given at Summer Institute 2007,
Fuji-Yoshida, Japan, August 3-10, 2007 | null | null | null | hep-th hep-ph | null | We present a systematic way for deriving a four-dimensional (4D) effective
action of the five-dimensional (5D) orbifold supergravity respecting the N=1
{\it off-shell} structure. As an illustrating example, we derive a 4D effective
theory of the 5D gauged supergravity with a universal hypermultiplet and {\it
generic} gaugings, which includes the 5D heterotic M-theory and the
supersymmetric Randall-Sundrum model as special limits of the gauging
parameters. We show the vacuum structure of such model, especially the nature
of moduli stabilization, introducing perturbative superpotential terms at the
orbifold fixed points.
| [
{
"created": "Mon, 15 Oct 2007 05:37:52 GMT",
"version": "v1"
}
] | 2007-10-16 | [
[
"Abe",
"Hiroyuki",
""
]
] | We present a systematic way for deriving a four-dimensional (4D) effective action of the five-dimensional (5D) orbifold supergravity respecting the N=1 {\it off-shell} structure. As an illustrating example, we derive a 4D effective theory of the 5D gauged supergravity with a universal hypermultiplet and {\it generic} gaugings, which includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We show the vacuum structure of such model, especially the nature of moduli stabilization, introducing perturbative superpotential terms at the orbifold fixed points. |
1909.11666 | Patrick Jefferson | Lakshya Bhardwaj, Patrick Jefferson, Hee-Cheol Kim, Houri-Christina
Tarazi, Cumrun Vafa | Twisted Circle Compactifications of 6d SCFTs | v3 (JHEP submission): minor typos corrected, improved discussion in
Appendix A and D | null | 10.1007/JHEP12(2020)151 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 6d superconformal field theories (SCFTs) compactified on a circle
with arbitrary twists. The theories obtained after compactification, often
referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points
for RG flows to 5d SCFTs. According to a conjecture, all 5d SCFTs can be
obtained in this fashion. We compute the Coulomb branch prepotential for all 5d
KK theories obtainable in this manner and associate to these theories a smooth
local genus one fibered Calabi-Yau threefold in which is encoded information
about all possible RG flows to 5d SCFTs. These Calabi-Yau threefolds provide
hitherto unknown M-theory duals of F-theory configurations compactified on a
circle with twists. For certain exceptional KK theories that do not admit a
standard geometric description we propose an algebraic description that appears
to retain the properties of the local Calabi-Yau threefolds necessary to
determine RG flows to 5d SCFTs, along with other relevant physical data.
| [
{
"created": "Wed, 25 Sep 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 2019 15:23:18 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Sep 2020 13:36:00 GMT",
"version": "v3"
}
] | 2021-02-03 | [
[
"Bhardwaj",
"Lakshya",
""
],
[
"Jefferson",
"Patrick",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Tarazi",
"Houri-Christina",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We study 6d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points for RG flows to 5d SCFTs. According to a conjecture, all 5d SCFTs can be obtained in this fashion. We compute the Coulomb branch prepotential for all 5d KK theories obtainable in this manner and associate to these theories a smooth local genus one fibered Calabi-Yau threefold in which is encoded information about all possible RG flows to 5d SCFTs. These Calabi-Yau threefolds provide hitherto unknown M-theory duals of F-theory configurations compactified on a circle with twists. For certain exceptional KK theories that do not admit a standard geometric description we propose an algebraic description that appears to retain the properties of the local Calabi-Yau threefolds necessary to determine RG flows to 5d SCFTs, along with other relevant physical data. |
1104.4489 | Toby Wiseman | Pau Figueras, James Lucietti and Toby Wiseman | Ricci solitons, Ricci flow, and strongly coupled CFT in the
Schwarzschild Unruh or Boulware vacua | 48 pages, 7 figures; Version 2 - section 2.2.1 on manifolds with
boundaries substantially modified, corrected and extended. Discussion in
section 3.1 amended. References added and minor changes | null | 10.1088/0264-9381/28/21/215018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The elliptic Einstein-DeTurck equation may be used to numerically find
Einstein metrics on Riemannian manifolds. Static Lorentzian Einstein metrics
are considered by analytically continuing to Euclidean time. Ricci-DeTurck flow
is a constructive algorithm to solve this equation, and is simple to implement
when the solution is a stable fixed point, the only complication being that
Ricci solitons may exist which are not Einstein. Here we extend previous work
to consider the Einstein-DeTurck equation for Riemannian manifolds with
boundaries, and those that continue to static Lorentzian spacetimes which are
asymptotically flat, Kaluza-Klein, locally AdS or have extremal horizons. Using
a maximum principle we prove that Ricci solitons do not exist in these cases
and so any solution is Einstein. We also argue that Ricci-DeTurck flow
preserves these classes of manifolds. As an example we simulate Ricci-DeTurck
flow for a manifold with asymptotics relevant for AdS_5/CFT_4. Our maximum
principle dictates there are no soliton solutions, and we give strong numerical
evidence that there exists a stable fixed point of the flow which continues to
a smooth static Lorentzian Einstein metric. Our asymptotics are such that this
describes the classical gravity dual relevant for the CFT on a Schwarzschild
background in either the Unruh or Boulware vacua. It determines the leading
O(N^2) part of the CFT stress tensor, which interestingly is regular on both
the future and past Schwarzschild horizons.
| [
{
"created": "Fri, 22 Apr 2011 19:17:03 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2011 19:17:09 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Figueras",
"Pau",
""
],
[
"Lucietti",
"James",
""
],
[
"Wiseman",
"Toby",
""
]
] | The elliptic Einstein-DeTurck equation may be used to numerically find Einstein metrics on Riemannian manifolds. Static Lorentzian Einstein metrics are considered by analytically continuing to Euclidean time. Ricci-DeTurck flow is a constructive algorithm to solve this equation, and is simple to implement when the solution is a stable fixed point, the only complication being that Ricci solitons may exist which are not Einstein. Here we extend previous work to consider the Einstein-DeTurck equation for Riemannian manifolds with boundaries, and those that continue to static Lorentzian spacetimes which are asymptotically flat, Kaluza-Klein, locally AdS or have extremal horizons. Using a maximum principle we prove that Ricci solitons do not exist in these cases and so any solution is Einstein. We also argue that Ricci-DeTurck flow preserves these classes of manifolds. As an example we simulate Ricci-DeTurck flow for a manifold with asymptotics relevant for AdS_5/CFT_4. Our maximum principle dictates there are no soliton solutions, and we give strong numerical evidence that there exists a stable fixed point of the flow which continues to a smooth static Lorentzian Einstein metric. Our asymptotics are such that this describes the classical gravity dual relevant for the CFT on a Schwarzschild background in either the Unruh or Boulware vacua. It determines the leading O(N^2) part of the CFT stress tensor, which interestingly is regular on both the future and past Schwarzschild horizons. |
1104.3241 | Vasilis Oikonomou | V. K. Oikonomou | De Sitter Cosmic Strings and Supersymmetry | Version similar to the one accepted by General Relativity and
Gravitation | Gen.Rel.Grav.44:1285-1297,2012 | 10.1007/s10714-012-1339-2 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study massive spinor fields in the geometry of a straight cosmic string in
a de Sitter background. We find a hidden N=2 supersymmetry in the fermionic
solutions of the equations of motion. We connect the zero mode solutions to the
heat-kernel regularized Witten index of the supersymmetric algebra.
| [
{
"created": "Sat, 16 Apr 2011 14:17:50 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Mar 2012 16:21:06 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Apr 2012 10:05:39 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Oikonomou",
"V. K.",
""
]
] | We study massive spinor fields in the geometry of a straight cosmic string in a de Sitter background. We find a hidden N=2 supersymmetry in the fermionic solutions of the equations of motion. We connect the zero mode solutions to the heat-kernel regularized Witten index of the supersymmetric algebra. |
1902.10929 | Yunseok Seo | Kyung Kiu Kim, Keun-Young Kim, Yunseok Seo, Sang-Jin Sin | Building Magnetic Hysteresis in Holography | 23 pages, 5 figures; v2: one figure removed, minor changes, version
appear to JHEP | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spontaneous magnetization and the magnetic hysteresis using the
gauge/gravity duality. We first propose a novel and general formula to compute
the magnetization in a large class of holographic models. By using this
formula, we compute the spontaneous magnetization in a model like a holographic
superconductor. Furthermore, we turn on the external magnetic field and build
the hysteresis curve of magnetization and charge density. To our knowledge,
this is the first holographic model realizing the hysteresis accompanied with
spontaneous symmetry breaking. By considering the Landau-Ginzburg type
effective potential in the symmetry broken phase, we obtain the mass of the
magnon from the bulk geometry data.
| [
{
"created": "Thu, 28 Feb 2019 07:10:35 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2019 06:45:37 GMT",
"version": "v2"
}
] | 2019-08-27 | [
[
"Kim",
"Kyung Kiu",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We study the spontaneous magnetization and the magnetic hysteresis using the gauge/gravity duality. We first propose a novel and general formula to compute the magnetization in a large class of holographic models. By using this formula, we compute the spontaneous magnetization in a model like a holographic superconductor. Furthermore, we turn on the external magnetic field and build the hysteresis curve of magnetization and charge density. To our knowledge, this is the first holographic model realizing the hysteresis accompanied with spontaneous symmetry breaking. By considering the Landau-Ginzburg type effective potential in the symmetry broken phase, we obtain the mass of the magnon from the bulk geometry data. |
hep-th/0601115 | Victor N. Pervushin | B.M. Barbashov and V.N. Pervushin | Solution of Constraints in Theory of Relativistic String | 9 pages, Invited Talk at INTAS Summer School and Conference "New
trends in High-Energy Physics" Yalta, Crimea, Ukraine, September 10 - 17,
2005 | null | null | null | hep-th | null | The Hamiltonian theory of a relativistic string is considered in a specific
reference frame in terms the diffeo-invariant variables. The evolution
parameter and energy invariant with respect to the time-coordinate
transformations are constructed, so that the dimension of the kinemetric group
of diffeomorphisms coincides with the dimension of a set of variables whose
velocities are removed by the Gauss-type constraints in accordance with the
second Noether theorem. This coincidence allows us to solve the energy
constraint, and fulfil Dirac's Hamiltonian reduction.
| [
{
"created": "Tue, 17 Jan 2006 10:17:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barbashov",
"B. M.",
""
],
[
"Pervushin",
"V. N.",
""
]
] | The Hamiltonian theory of a relativistic string is considered in a specific reference frame in terms the diffeo-invariant variables. The evolution parameter and energy invariant with respect to the time-coordinate transformations are constructed, so that the dimension of the kinemetric group of diffeomorphisms coincides with the dimension of a set of variables whose velocities are removed by the Gauss-type constraints in accordance with the second Noether theorem. This coincidence allows us to solve the energy constraint, and fulfil Dirac's Hamiltonian reduction. |
hep-th/0301169 | Eugenio Ramos B. de Mello | J. Spinelly and E. R. Bezerra de Mello | Vacuum Polarization of a Charged Massless Scalar Field on Cosmic String
Spacetime in the Presence of a Magnetic Field | 26 pages, LaTex format, 3 figures | Class.Quant.Grav. 20 (2003) 873-888 | 10.1088/0264-9381/20/5/307 | null | hep-th gr-qc | null | In this paper we consider a charged massless scalar quantum field operator in
the spacetime of an idealized cosmic string, i.e., an infinitely long, straight
and static cosmic string, which presents a magnetic field confined in a
cylindrical tube of finite radius. Three distinct situations are taking into
account in this analysis: {\it{i)}} a homogeneous field inside the tube,
{\it{ii)}} a magnetic field proportional to $1/r$ and {\it{iii)}} a cylindrical
shell with $\delta$-function. In these three cases the axis of the infinitely
long tube of radius $R$ coincides with the cosmic string. In order to study the
vacuum polarization effects outside the tube, we explicitly calculate the
Euclidean Green function associated with this system for the three above
situations, considering points in the region outside the tube.
| [
{
"created": "Wed, 22 Jan 2003 13:56:38 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Spinelly",
"J.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] | In this paper we consider a charged massless scalar quantum field operator in the spacetime of an idealized cosmic string, i.e., an infinitely long, straight and static cosmic string, which presents a magnetic field confined in a cylindrical tube of finite radius. Three distinct situations are taking into account in this analysis: {\it{i)}} a homogeneous field inside the tube, {\it{ii)}} a magnetic field proportional to $1/r$ and {\it{iii)}} a cylindrical shell with $\delta$-function. In these three cases the axis of the infinitely long tube of radius $R$ coincides with the cosmic string. In order to study the vacuum polarization effects outside the tube, we explicitly calculate the Euclidean Green function associated with this system for the three above situations, considering points in the region outside the tube. |
hep-th/9209114 | null | A.N. Kirillov, P. Mathieu, D. S\'en\'echal and M.A. Walton | Crystallising the Depth Rule for WZNW Fusion Coefficients | 5 pages, harvmac, LETH-PHY-9/92 (LAVAL-PHY-23/92) | null | null | null | hep-th | null | Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor
products, we propose a reformulation of the Gepner-Witten depth rule.
Implementation of this rule remains difficult, however, since the basis states
convenient for calculating tensor product coefficients do not have a
well-defined depth. To avoid this problem, we present a `crystal depth rule',
that gives a lower bound for the minimum level at which a WZNW fusion appears.
The bound seems to be quite accurate for $su(N>3),$ and for $su(3)$ the rule is
proven to be exact. (Talk presented by M.W. at the XIXth International
Colloquium on Group Theoretical Methods in Physics.)
| [
{
"created": "Tue, 29 Sep 1992 00:23:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kirillov",
"A. N.",
""
],
[
"Mathieu",
"P.",
""
],
[
"Sénéchal",
"D.",
""
],
[
"Walton",
"M. A.",
""
]
] | Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor products, we propose a reformulation of the Gepner-Witten depth rule. Implementation of this rule remains difficult, however, since the basis states convenient for calculating tensor product coefficients do not have a well-defined depth. To avoid this problem, we present a `crystal depth rule', that gives a lower bound for the minimum level at which a WZNW fusion appears. The bound seems to be quite accurate for $su(N>3),$ and for $su(3)$ the rule is proven to be exact. (Talk presented by M.W. at the XIXth International Colloquium on Group Theoretical Methods in Physics.) |
2001.06789 | Nakwoo Kim | Nakwoo Kim and Se-Jin Kim | Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction | 26 pages, 3 figures | Chin. Phys. C 44 (2020) 7, 073104 | 10.1088/1674-1137/44/7/073104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct holographic Janus solutions, which describe a conformal
interface in the theory of M2-branes, in four-dimensional gauged supergravities
using a perturbative method. In particular, we study three Einstein-scalar
systems and their BPS equations, which are derived by Bobev, Pilch, and Warner
(2014). The actions of our interest are all consistent truncations of $D=11$
supergravity chosen to be invariant under $SO(4)\times SO(4)$, $SU(3)\times
U(1)\times U(1)$, and $G_2$ symmetry subgroups of $SO(8)$ respectively. The
utility of our semi-analytic result is illustrated by the calculation of
minimal area surface and the associated holographic entanglement entropy.
| [
{
"created": "Sun, 19 Jan 2020 07:40:48 GMT",
"version": "v1"
}
] | 2020-07-20 | [
[
"Kim",
"Nakwoo",
""
],
[
"Kim",
"Se-Jin",
""
]
] | We construct holographic Janus solutions, which describe a conformal interface in the theory of M2-branes, in four-dimensional gauged supergravities using a perturbative method. In particular, we study three Einstein-scalar systems and their BPS equations, which are derived by Bobev, Pilch, and Warner (2014). The actions of our interest are all consistent truncations of $D=11$ supergravity chosen to be invariant under $SO(4)\times SO(4)$, $SU(3)\times U(1)\times U(1)$, and $G_2$ symmetry subgroups of $SO(8)$ respectively. The utility of our semi-analytic result is illustrated by the calculation of minimal area surface and the associated holographic entanglement entropy. |
hep-th/9506083 | Valeri Dvoeglazov | Valeri V. Dvoeglazov (Zacatecas University, M\'exico) | Lagrangian for the Majorana-Ahluwalia Construct | 10pp., REVTeX 3.0 file | Nuovo Cim.A108:1467-1476,1995 | 10.1007/BF02821063 | EFUAZ FT-95-15 | hep-th | null | The equations describing self/anti-self charge conjugate states, recently
proposed by Ahluwalia, are re-written to covariant form. The corresponding
Lagrangian for the neutral particle theory is proposed. From a
group-theoretical viewpoint the construct is an example of the
Nigam-Foldy-Bargmann-Wightman-Wigner-type quantum field theory based on the
doubled representations of the extended Lorentz group. Relations with the
Sachs-Schwebel and Ziino-Barut concepts of relativistic quantum theory are
discussed.
| [
{
"created": "Mon, 12 Jun 1995 06:05:30 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Dvoeglazov",
"Valeri V.",
"",
"Zacatecas University, México"
]
] | The equations describing self/anti-self charge conjugate states, recently proposed by Ahluwalia, are re-written to covariant form. The corresponding Lagrangian for the neutral particle theory is proposed. From a group-theoretical viewpoint the construct is an example of the Nigam-Foldy-Bargmann-Wightman-Wigner-type quantum field theory based on the doubled representations of the extended Lorentz group. Relations with the Sachs-Schwebel and Ziino-Barut concepts of relativistic quantum theory are discussed. |
1310.4390 | Sergei Lukyanov L | Vladimir V. Bazhanov and Sergei L. Lukyanov | Integrable structure of Quantum Field Theory: Classical flat connections
versus quantum stationary states | 63 pages, 8 figures; v2:typos corrected | null | 10.1007/JHEP09(2014)147 | RUNHETC-2013-18 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a correspondence between an infinite set of special solutions of
the (classical) modified sinh-Gordon equation and a set of stationary states in
the finite-volume Hilbert space of the integrable 2D QFT invented by V.A.
Fateev. The modified sinh-Gordon equation arise in this case as a
zero-curvature condition for a class of multivalued connections of the
punctured Riemann sphere, similarly to Hitchin's self-duality equations. The
proposed correspondence between the classical and quantum integrable systems
provides a powerful tool for deriving functional and integral equations which
determine the full spectrum of local integrals of motion for massive QFT in a
finite volume. Potential applications of our results to the problem of
non-perturbative quantization of classically integrable non-linear sigma models
are briefly discussed.
| [
{
"created": "Wed, 16 Oct 2013 14:16:32 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 2014 15:52:42 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Lukyanov",
"Sergei L.",
""
]
] | We establish a correspondence between an infinite set of special solutions of the (classical) modified sinh-Gordon equation and a set of stationary states in the finite-volume Hilbert space of the integrable 2D QFT invented by V.A. Fateev. The modified sinh-Gordon equation arise in this case as a zero-curvature condition for a class of multivalued connections of the punctured Riemann sphere, similarly to Hitchin's self-duality equations. The proposed correspondence between the classical and quantum integrable systems provides a powerful tool for deriving functional and integral equations which determine the full spectrum of local integrals of motion for massive QFT in a finite volume. Potential applications of our results to the problem of non-perturbative quantization of classically integrable non-linear sigma models are briefly discussed. |
1507.00107 | Mohammad Reza Setare | M. R. Setare, H. Adami | Non-linear regime of the Generalized Minimal Massive Gravity in critical
points | 16 pages, no figure, some Refs added, minor changes, as published in
Gen Relativ Gravit | Gen Relativ Gravit, DOI 10.1007/s10714-016-2033-6, (2016) | 10.1007/s10714-016-2033-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Generalized Minimal Massive Gravity (GMMG) theory is realized by adding
the CS deformation term, the higher derivative deformation term, and an extra
term to pure Einstein gravity with a negative cosmological constant. In the
present paper we obtain exact solutions to the GMMG field equations in the
non-linear regime of the model. GMMG model about $AdS_3$ space is conjectured
to be dual to a 2-dimensional CFT. We study the theory in critical points
corresponding to the central charges $c_-=0$ or $c_+=0$, in the non-linear
regime. We show that $AdS_3$ wave solutions are present, and have logarithmic
form in critical points. Then we study the $AdS_3$ non-linear deformation
solution. Furthermore we obtain logarithmic deformation of extremal BTZ black
hole. After that using Abbott-Deser-Tekin method we calculate the energy and
angular momentum of these types of black hole solutions.
| [
{
"created": "Wed, 1 Jul 2015 05:16:14 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 2015 06:18:52 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Mar 2016 12:47:19 GMT",
"version": "v3"
}
] | 2016-03-23 | [
[
"Setare",
"M. R.",
""
],
[
"Adami",
"H.",
""
]
] | The Generalized Minimal Massive Gravity (GMMG) theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. In the present paper we obtain exact solutions to the GMMG field equations in the non-linear regime of the model. GMMG model about $AdS_3$ space is conjectured to be dual to a 2-dimensional CFT. We study the theory in critical points corresponding to the central charges $c_-=0$ or $c_+=0$, in the non-linear regime. We show that $AdS_3$ wave solutions are present, and have logarithmic form in critical points. Then we study the $AdS_3$ non-linear deformation solution. Furthermore we obtain logarithmic deformation of extremal BTZ black hole. After that using Abbott-Deser-Tekin method we calculate the energy and angular momentum of these types of black hole solutions. |
2201.07300 | Jennifer Winstone | Benoit Vicedo, Jennifer Winstone | 3-dimensional mixed BF theory and Hitchin's integrable system | null | null | 10.1007/s11005-022-01567-6 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The affine Gaudin model, associated with an untwisted affine Kac-Moody
algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed
topological-holomorphic Chern-Simons theory in the Hamiltonian framework. We
show that the finite Gaudin model, associated with a finite-dimensional
semisimple Lie algebra, or more generally the tamely ramified Hitchin system on
an arbitrary Riemann surface, can likewise be obtained from a similar gauge
fixing of 3-dimensional mixed BF theory in the Hamiltonian framework.
| [
{
"created": "Tue, 18 Jan 2022 20:31:15 GMT",
"version": "v1"
}
] | 2022-09-07 | [
[
"Vicedo",
"Benoit",
""
],
[
"Winstone",
"Jennifer",
""
]
] | The affine Gaudin model, associated with an untwisted affine Kac-Moody algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed topological-holomorphic Chern-Simons theory in the Hamiltonian framework. We show that the finite Gaudin model, associated with a finite-dimensional semisimple Lie algebra, or more generally the tamely ramified Hitchin system on an arbitrary Riemann surface, can likewise be obtained from a similar gauge fixing of 3-dimensional mixed BF theory in the Hamiltonian framework. |
2110.14958 | Arnab Kundu | Arnab Kundu | Wormholes & Holography: An Introduction | 89 pages, multiple figures. Improved discussions, especially section
2. Minor errors corrected, typos fixed. Published in EPJC | null | 10.1140/epjc/s10052-022-10376-z | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Wormholes are intriguing classical solutions in General Relativity, that have
fascinated theoretical physicists for decades. In recent years, especially in
Holography, gravitationalWormhole geometries have found a new life in many
theoretical ideas related to quantum aspects of gravity. These ideas primarily
revolve around aspects of quantum entanglement and quantum information in
(semi-classical) gravity. This is an introductory and pedagogical review of
Wormholes and their recent applications in Gauge-Gravity duality and related
ideas.
| [
{
"created": "Thu, 28 Oct 2021 08:58:02 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jun 2022 18:12:06 GMT",
"version": "v2"
}
] | 2022-06-07 | [
[
"Kundu",
"Arnab",
""
]
] | Wormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, especially in Holography, gravitationalWormhole geometries have found a new life in many theoretical ideas related to quantum aspects of gravity. These ideas primarily revolve around aspects of quantum entanglement and quantum information in (semi-classical) gravity. This is an introductory and pedagogical review of Wormholes and their recent applications in Gauge-Gravity duality and related ideas. |
1307.6001 | Koichi Murakami | Nobuyuki Ishibashi, Koichi Murakami | Multiloop Amplitudes of Light-cone Gauge Bosonic String Field Theory in
Noncritical Dimensions | 45 pages, 8 figures; v2: references and clarifications added | null | 10.1007/JHEP09(2013)053 | UTHEP-659, OIQP-13-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the multiloop amplitudes of the light-cone gauge closed bosonic
string field theory for $d \neq 26$. We show that the amplitudes can be recast
into a BRST invariant form by adding a nonstandard worldsheet theory for the
longitudinal variables $X^{\pm}$ and the reparametrization ghost system. The
results obtained in this paper for bosonic strings provide a first step towards
the examination whether the dimensional regularization works for the multiloop
amplitudes of the light-cone gauge superstring field theory.
| [
{
"created": "Tue, 23 Jul 2013 09:54:57 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2013 09:02:22 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Murakami",
"Koichi",
""
]
] | We study the multiloop amplitudes of the light-cone gauge closed bosonic string field theory for $d \neq 26$. We show that the amplitudes can be recast into a BRST invariant form by adding a nonstandard worldsheet theory for the longitudinal variables $X^{\pm}$ and the reparametrization ghost system. The results obtained in this paper for bosonic strings provide a first step towards the examination whether the dimensional regularization works for the multiloop amplitudes of the light-cone gauge superstring field theory. |
hep-th/0203224 | Harvinder K. Jassal | H. K. Jassal (IUCAA, India) | On brane cosmological solutions | 8 pages, Latex2e | null | null | null | hep-th | null | This paper presents some cosmological consequences of the five dimensional,
two brane Randall-Sundrum brane scenario. The radius of the compact extra
dimension is taken to be time dependent. It is shown that the cosmology
consistent with the two brane Randall-Sundrum model is a power law expansion of
the universe, with scale factor growing as $t^{1/2}$. The two branes tend to
move towards each other with time. Some comments are made on the contribution
of surface terms in deriving the four dimensional effective action.
| [
{
"created": "Mon, 25 Mar 2002 05:31:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jassal",
"H. K.",
"",
"IUCAA, India"
]
] | This paper presents some cosmological consequences of the five dimensional, two brane Randall-Sundrum brane scenario. The radius of the compact extra dimension is taken to be time dependent. It is shown that the cosmology consistent with the two brane Randall-Sundrum model is a power law expansion of the universe, with scale factor growing as $t^{1/2}$. The two branes tend to move towards each other with time. Some comments are made on the contribution of surface terms in deriving the four dimensional effective action. |
1007.3475 | Diana Vaman | Diana Vaman and York-Peng Yao | Constraints and Generalized Gauge Transformations on Tree-Level Gluon
and Graviton Amplitudes | 22 pages, JHEP version, Appendix A expanded, one typo fixed | JHEP 1011:028,2010 | 10.1007/JHEP11(2010)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Writing the fully color dressed and graviton amplitudes, respectively, as
${\bf A}=<C|A> =<C|M|N> $ and ${\bf A}_{gr}= <\tilde N|M|N> $, where $|A> $ is
a set of Kleiss-Kuijf color-ordered basis, $|N>, $|\tilde N> $ and $|C>$ are
the similarly ordered numerators and color coefficients, we show that the
propagator matrix $M$ has $(n-3)(n-3)!$ independent eigenvectors $|\lambda
^0_j>$ with zero eigenvalue, for $n$-particle processes. The resulting
equations $<\lambda ^0_j|A> = 0$ are relations among the color ordered
amplitudes. The freedom to shift $|N> \to |N> +\sum_j f_j|\lambda ^0_j>$ and
similarly for $|\tilde N>$, where $f_j$ are $(n-3)(n-3)!$ arbitrary functions,
encodes generalized gauge transformations. They yield both BCJ amplitude and
KLT relations, when such freedom is accounted for. Furthermore, $f_j$ can be
promoted to the role of effective Lagrangian vertices in the field operator
space.
| [
{
"created": "Tue, 20 Jul 2010 18:35:42 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 2010 18:22:30 GMT",
"version": "v2"
}
] | 2010-11-11 | [
[
"Vaman",
"Diana",
""
],
[
"Yao",
"York-Peng",
""
]
] | Writing the fully color dressed and graviton amplitudes, respectively, as ${\bf A}=<C|A> =<C|M|N> $ and ${\bf A}_{gr}= <\tilde N|M|N> $, where $|A> $ is a set of Kleiss-Kuijf color-ordered basis, $|N>, $|\tilde N> $ and $|C>$ are the similarly ordered numerators and color coefficients, we show that the propagator matrix $M$ has $(n-3)(n-3)!$ independent eigenvectors $|\lambda ^0_j>$ with zero eigenvalue, for $n$-particle processes. The resulting equations $<\lambda ^0_j|A> = 0$ are relations among the color ordered amplitudes. The freedom to shift $|N> \to |N> +\sum_j f_j|\lambda ^0_j>$ and similarly for $|\tilde N>$, where $f_j$ are $(n-3)(n-3)!$ arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore, $f_j$ can be promoted to the role of effective Lagrangian vertices in the field operator space. |
hep-th/9910191 | Jan Govaerts | Jan Govaerts (Catholic Univ. Louvain, Belgium) | Quantisation and Gauge Invariance | 12 pages, no figures, plain LaTeX file. Contribution to the First
International Workshop on Contemporary Problems in Mathematical Physics,
October 31st - November 5th, 1999, Cotonou (Republic of Benin) | null | null | null | hep-th hep-ph quant-ph | null | Recent developments concerning canonical quantisation and gauge invariant
quantum mechanical systems and quantum field theories are briefly discussed. On
the one hand, it is shown how diffeomorphic covariant representations of the
Heisenberg algebra over curved manifolds of non trivial topology involve
topology classes of flat U(1) bundles. On the other hand, through some
examples, the recently proposed physical projector approach to the quantisation
of general gauge invariant systems is shown to avoid the necessity of any gauge
fixing - hence also avoiding the possibility of Gribov problems which usually
ensue any gauge fixing procedure - and is also capable to provide the adequate
description of the physical content of gauge invariant systems.
| [
{
"created": "Mon, 25 Oct 1999 11:33:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Govaerts",
"Jan",
"",
"Catholic Univ. Louvain, Belgium"
]
] | Recent developments concerning canonical quantisation and gauge invariant quantum mechanical systems and quantum field theories are briefly discussed. On the one hand, it is shown how diffeomorphic covariant representations of the Heisenberg algebra over curved manifolds of non trivial topology involve topology classes of flat U(1) bundles. On the other hand, through some examples, the recently proposed physical projector approach to the quantisation of general gauge invariant systems is shown to avoid the necessity of any gauge fixing - hence also avoiding the possibility of Gribov problems which usually ensue any gauge fixing procedure - and is also capable to provide the adequate description of the physical content of gauge invariant systems. |
0811.2822 | Achilleas Porfyriadis | Achilleas P. Porfyriadis | Hawking radiation via anomaly cancelation for the black holes of
five-dimensional minimal gauged supergravity | 14 pages, no figures, v2: references added, minor changes, to appear
in PRD | Phys.Rev.D79:084039,2009 | 10.1103/PhysRevD.79.084039 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The anomaly cancelation method proposed by Wilczek et al. is applied to the
general charged rotating black holes in five-dimensional minimal gauged
supergravity. Thus Hawking temperature and fluxes are found. The Hawking
temperature obtained agrees with the surface gravity formula. The black holes
have charge and two unequal angular momenta and these give rise to appropriate
terms in the effective U(1) gauge field of the reduced (1+1)-dimensional
theory. In particular, it is found that the terms in this U(1) gauge field
correspond exactly to the correct electrostatic potential and the two angular
velocities on the horizon of the black holes, and so the results for the
Hawking fluxes derived here from the anomaly cancelation method are in complete
agreement with the ones obtained from integrating the Planck distribution.
| [
{
"created": "Tue, 18 Nov 2008 02:02:33 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2009 02:27:11 GMT",
"version": "v2"
}
] | 2009-04-29 | [
[
"Porfyriadis",
"Achilleas P.",
""
]
] | The anomaly cancelation method proposed by Wilczek et al. is applied to the general charged rotating black holes in five-dimensional minimal gauged supergravity. Thus Hawking temperature and fluxes are found. The Hawking temperature obtained agrees with the surface gravity formula. The black holes have charge and two unequal angular momenta and these give rise to appropriate terms in the effective U(1) gauge field of the reduced (1+1)-dimensional theory. In particular, it is found that the terms in this U(1) gauge field correspond exactly to the correct electrostatic potential and the two angular velocities on the horizon of the black holes, and so the results for the Hawking fluxes derived here from the anomaly cancelation method are in complete agreement with the ones obtained from integrating the Planck distribution. |
1410.8661 | Rodrigo Bufalo | R. Bufalo and A. Tureanu | Analogy between the Schwarzschild solution in a noncommutative gauge
theory and the Reissner-Nordstr\"om metric | V2; 15 pages, improved analysis and discussion clarified, references
added. To be published in PRD | Physical Review D 92 065017 (2015) | 10.1103/PhysRevD.92.065017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study modifications of the Schwarzschild solution within the
noncommutative gauge theory of gravity. In the present analysis, the deformed
solutions are obtained by solving the field equations perturbatively, up to the
second order in the noncommutativity parameter $\Theta$, for both exterior and
interior solutions of the equations of motion for $e_\mu ^a \left(x\right)$.
Remarkably, we find that this new noncommutive solution is analogous to the
Reissner-Nordstr\"om solution in the ordinary spacetime, in which the square of
electric charge is replaced by the square of the noncommutativity parameter,
but with opposite sign. This amounts to the noncommutative Schwarzschild radius
$r_{NCS}$ becoming larger than the usual radius $r_S =2M$, instead of smaller
as it happens to the Reissner-Nordstr\"om radius $r_{RN}$, implying that
$r_{NCS}>r_{S} >r_{RN}$. An intuitive interpretation of this result is
mentioned.
| [
{
"created": "Fri, 31 Oct 2014 07:53:34 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 14:18:59 GMT",
"version": "v2"
}
] | 2015-09-23 | [
[
"Bufalo",
"R.",
""
],
[
"Tureanu",
"A.",
""
]
] | We study modifications of the Schwarzschild solution within the noncommutative gauge theory of gravity. In the present analysis, the deformed solutions are obtained by solving the field equations perturbatively, up to the second order in the noncommutativity parameter $\Theta$, for both exterior and interior solutions of the equations of motion for $e_\mu ^a \left(x\right)$. Remarkably, we find that this new noncommutive solution is analogous to the Reissner-Nordstr\"om solution in the ordinary spacetime, in which the square of electric charge is replaced by the square of the noncommutativity parameter, but with opposite sign. This amounts to the noncommutative Schwarzschild radius $r_{NCS}$ becoming larger than the usual radius $r_S =2M$, instead of smaller as it happens to the Reissner-Nordstr\"om radius $r_{RN}$, implying that $r_{NCS}>r_{S} >r_{RN}$. An intuitive interpretation of this result is mentioned. |
hep-th/0509008 | Francisco A. Brito | F.A. Brito, T. Mariz, J.R. Nascimento, E. Passos, and R.F. Ribeiro | A Remark on Lorentz Violation at Finite Temperature | To appear in JHEP, 8 pages, 1 eps figure, minor changes and
references added | JHEP 0510 (2005) 019 | 10.1088/1126-6708/2005/10/019 | null | hep-th | null | We investigate the radiatively induced Chern-Simons-like term in
four-dimensional field theory at finite temperature. The Chern-Simons-like term
is temperature dependent and breaks the Lorentz and CPT symmetries. We find
that this term remains undetermined although it can be found unambiguously in
different regularization schemes at finite temperature.
| [
{
"created": "Thu, 1 Sep 2005 14:46:25 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2005 16:46:47 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Brito",
"F. A.",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Passos",
"E.",
""
],
[
"Ribeiro",
"R. F.",
""
]
] | We investigate the radiatively induced Chern-Simons-like term in four-dimensional field theory at finite temperature. The Chern-Simons-like term is temperature dependent and breaks the Lorentz and CPT symmetries. We find that this term remains undetermined although it can be found unambiguously in different regularization schemes at finite temperature. |
hep-th/9906003 | Igor Nikitin | Igor N. Nikitin | String theory in Lorentz-invariant light cone gauge | 15 pages, 9 figures, 3 tables; talk at Int. School of Subnuclear
Physics, Aug 29 - Sept 7 1998, Erice (Sicily); submitted to Int.J.Mod.Phys.A | null | null | null | hep-th | null | Quantization of 4-dimensional Nambu-Goto theory of open string in light cone
gauge, related in Lorentz-invariant way with the world sheet, is performed.
Obtained quantum theory has no anomalies in Lorentz group. Determined spin-mass
spectra of the theory have Regge-like behavior and do not contain the tachyon.
Vertex operators of interaction theory, acting in the physical subspace, are
constructed.
| [
{
"created": "Tue, 1 Jun 1999 11:24:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nikitin",
"Igor N.",
""
]
] | Quantization of 4-dimensional Nambu-Goto theory of open string in light cone gauge, related in Lorentz-invariant way with the world sheet, is performed. Obtained quantum theory has no anomalies in Lorentz group. Determined spin-mass spectra of the theory have Regge-like behavior and do not contain the tachyon. Vertex operators of interaction theory, acting in the physical subspace, are constructed. |
hep-th/0010088 | Arkady Tseytlin | L.A. Pando Zayas and A.A. Tseytlin | 3-branes on resolved conifold | 19 pages, latex. v2,v3: misprints corrected | JHEP 0011:028,2000 | 10.1088/1126-6708/2000/11/028 | UM-TH/00-24, OHSTPY-HEP-T-00-019 | hep-th | null | The type IIB supergravity solution describing a collection of regular and
fractional D3 branes on the conifold (hep-th/0002159) was recently generalized
to the case of the deformed conifold (hep-th/0007191). Here we present another
generalization -- when the conifold is replaced by the resolved conifold. This
solution can be found in two different ways: (i) by first explicitly
constructing the Ricci-flat Kahler metric on resolved conifold and then solving
the supergravity equations for the D3-brane ansatz with constant dilaton and
(self-dual) 3-form fluxes; (ii) by generalizing the ``conifold'' ansatz of
hep-th/0002159 in a natural ``asymmetric'' way so that the 1-d action
describing radial evolution still admits a superpotential and then solving the
resulting 1-st order system. The superpotentials for the ``resolved'' and
``deformed'' conifold cases turn out to have essentially the same simple
structure. The solution in the resolved conifold case has the same asymptotic
UV behaviour as in the conifold case, but unlike the deformed conifold case is
still singular in the IR. The naked singularity is of repulson type and may
have a brane resolution.
| [
{
"created": "Wed, 11 Oct 2000 20:10:21 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2001 15:01:02 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jan 2001 13:13:22 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Zayas",
"L. A. Pando",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | The type IIB supergravity solution describing a collection of regular and fractional D3 branes on the conifold (hep-th/0002159) was recently generalized to the case of the deformed conifold (hep-th/0007191). Here we present another generalization -- when the conifold is replaced by the resolved conifold. This solution can be found in two different ways: (i) by first explicitly constructing the Ricci-flat Kahler metric on resolved conifold and then solving the supergravity equations for the D3-brane ansatz with constant dilaton and (self-dual) 3-form fluxes; (ii) by generalizing the ``conifold'' ansatz of hep-th/0002159 in a natural ``asymmetric'' way so that the 1-d action describing radial evolution still admits a superpotential and then solving the resulting 1-st order system. The superpotentials for the ``resolved'' and ``deformed'' conifold cases turn out to have essentially the same simple structure. The solution in the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR. The naked singularity is of repulson type and may have a brane resolution. |
2003.05889 | Parinya Karndumri | Parinya Karndumri and Chawakorn Maneerat | Supersymmetric solutions from N=5 gauged supergravity | 36 pages, 4 figures, typos corrected, slightly changed title and
references added | Phys. Rev. D 101, 126015 (2020) | 10.1103/PhysRevD.101.126015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a large class of supersymmetric solutions in four-dimensional $N=5$
gauged supergravity with $SO(5)$ gauge group. There is only one $N=5$
supersymmetric $AdS_4$ vacuum preserving the full $SO(5)$ symmetry dual to an
$N=5$ SCFT in three dimensions. We give a number of domain walls interpolating
between this $AdS_4$ fixed point and singular geometries in the IR with $SO(4)$
and $SO(3)$ symmetries. These solutions describe RG flows from the $N=5$ SCFT
to non-conformal field theories driven by mass deformations. The $SO(4)$
solutions are precisely in agreement with the previously known mass
deformations within the dual $N=5$ SCFT. We also find supersymmetric Janus
solutions describing two-dimensional conformal defects in the $N=5$ SCFT with
$N=(4,1)$ and $N=(1,1)$ supersymmetries on the defects. Finally, we study
supersymmetric solutions of the form $AdS_2\times \Sigma^2$, with
$\Sigma^2=S^2,H^2$ being a Riemann surface, corresponding to near horizon
geometries of $AdS_4$ black holes. We consider both magnetic and dyonic
solutions and find that there exists a class of magnetic $AdS_2\times H^2$
solutions with $SO(2)$ symmetry. It is rather remarkable that a complete
analytic solution interpolating between $AdS_4$ and $AdS_2\times H^2$ with a
running scalar can be obtained. The solution corresponds to a twisted
compactification of $N=5$ SCFT to superconformal quantum mechanics. We also
show that no purely magnetic or dyonic black holes with $AdS_2\times \Sigma^2$
horizon from $SO(2)\times SO(2)$ twist exist in $N=5$, $SO(5)$ gauged
supergravity.
| [
{
"created": "Thu, 12 Mar 2020 16:44:36 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Mar 2020 17:27:48 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Aug 2020 18:59:46 GMT",
"version": "v3"
}
] | 2020-08-12 | [
[
"Karndumri",
"Parinya",
""
],
[
"Maneerat",
"Chawakorn",
""
]
] | We study a large class of supersymmetric solutions in four-dimensional $N=5$ gauged supergravity with $SO(5)$ gauge group. There is only one $N=5$ supersymmetric $AdS_4$ vacuum preserving the full $SO(5)$ symmetry dual to an $N=5$ SCFT in three dimensions. We give a number of domain walls interpolating between this $AdS_4$ fixed point and singular geometries in the IR with $SO(4)$ and $SO(3)$ symmetries. These solutions describe RG flows from the $N=5$ SCFT to non-conformal field theories driven by mass deformations. The $SO(4)$ solutions are precisely in agreement with the previously known mass deformations within the dual $N=5$ SCFT. We also find supersymmetric Janus solutions describing two-dimensional conformal defects in the $N=5$ SCFT with $N=(4,1)$ and $N=(1,1)$ supersymmetries on the defects. Finally, we study supersymmetric solutions of the form $AdS_2\times \Sigma^2$, with $\Sigma^2=S^2,H^2$ being a Riemann surface, corresponding to near horizon geometries of $AdS_4$ black holes. We consider both magnetic and dyonic solutions and find that there exists a class of magnetic $AdS_2\times H^2$ solutions with $SO(2)$ symmetry. It is rather remarkable that a complete analytic solution interpolating between $AdS_4$ and $AdS_2\times H^2$ with a running scalar can be obtained. The solution corresponds to a twisted compactification of $N=5$ SCFT to superconformal quantum mechanics. We also show that no purely magnetic or dyonic black holes with $AdS_2\times \Sigma^2$ horizon from $SO(2)\times SO(2)$ twist exist in $N=5$, $SO(5)$ gauged supergravity. |
0811.2801 | Masahito Yamazaki | Hirosi Ooguri and Masahito Yamazaki | Crystal Melting and Toric Calabi-Yau Manifolds | 28 pages, 9 figures; v2: section 5 removed to simplify discussion on
black holes | Commun.Math.Phys.292:179-199,2009 | 10.1007/s00220-009-0836-y | CALT-68-2706, IPMU-08-0087, UT-08-30 | hep-th math.AG math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a statistical model of crystal melting to count BPS bound states
of D0 and D2 branes on a single D6 brane wrapping an arbitrary toric Calabi-Yau
threefold. The three-dimensional crystalline structure is determined by the
quiver diagram and the brane tiling which characterize the low energy effective
theory of D branes. The crystal is composed of atoms of different colors, each
of which corresponds to a node of the quiver diagram, and the chemical bond is
dictated by the arrows of the quiver diagram. BPS states are constructed by
removing atoms from the crystal. This generalizes the earlier results on the
BPS state counting to an arbitrary non-compact toric Calabi-Yau manifold. We
point out that a proper understanding of the relation between the topological
string theory and the crystal melting involves the wall crossing in the
Donaldson-Thomas theory.
| [
{
"created": "Tue, 18 Nov 2008 19:37:27 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 2009 00:58:42 GMT",
"version": "v2"
}
] | 2009-09-03 | [
[
"Ooguri",
"Hirosi",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | We construct a statistical model of crystal melting to count BPS bound states of D0 and D2 branes on a single D6 brane wrapping an arbitrary toric Calabi-Yau threefold. The three-dimensional crystalline structure is determined by the quiver diagram and the brane tiling which characterize the low energy effective theory of D branes. The crystal is composed of atoms of different colors, each of which corresponds to a node of the quiver diagram, and the chemical bond is dictated by the arrows of the quiver diagram. BPS states are constructed by removing atoms from the crystal. This generalizes the earlier results on the BPS state counting to an arbitrary non-compact toric Calabi-Yau manifold. We point out that a proper understanding of the relation between the topological string theory and the crystal melting involves the wall crossing in the Donaldson-Thomas theory. |
2112.10825 | Zhenghao Zhong | Antoine Bourget, Andrew Dancer, Julius F. Grimminger, Amihay Hanany
and Zhenghao Zhong | Partial Implosions and Quivers | null | null | null | null | hep-th math.AG math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose magnetic quivers for partial implosion spaces. Such partial
implosions involve a choice of parabolic subgroup, with the Borel subgroup
corresponding to the standard implosion. In the subregular case we test the
conjecture by verifying that reduction by the Levi group gives the appropriate
nilpotent orbit closure. In the case of a parabolic corresponding to a hook
diagram we are also able to carry out this verification provided we work at
nonzero Fayet-Iliopoulos parameters.
| [
{
"created": "Mon, 20 Dec 2021 19:39:56 GMT",
"version": "v1"
}
] | 2021-12-22 | [
[
"Bourget",
"Antoine",
""
],
[
"Dancer",
"Andrew",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | We propose magnetic quivers for partial implosion spaces. Such partial implosions involve a choice of parabolic subgroup, with the Borel subgroup corresponding to the standard implosion. In the subregular case we test the conjecture by verifying that reduction by the Levi group gives the appropriate nilpotent orbit closure. In the case of a parabolic corresponding to a hook diagram we are also able to carry out this verification provided we work at nonzero Fayet-Iliopoulos parameters. |
0905.4074 | Yuji Tachikawa | Yuji Tachikawa | Six-dimensional D_N theory and four-dimensional SO-USp quivers | 30 pages, 12 figures; v2: published version | JHEP 0907:067,2009 | 10.1088/1126-6708/2009/07/067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We realize four-dimensional N=2 superconformal quiver gauge theories with
alternating SO and USp gauge groups as compactifications of the six-dimensional
D_N theory with defects. The construction can be used to analyze infinitely
strongly-coupled limits and S-dualities of such gauge theories, resulting in a
new class of isolated four-dimensional N=2 superconformal field theories with
SO(2N)^3 flavor symmetry.
| [
{
"created": "Mon, 25 May 2009 20:01:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2009 17:35:54 GMT",
"version": "v2"
}
] | 2009-08-06 | [
[
"Tachikawa",
"Yuji",
""
]
] | We realize four-dimensional N=2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D_N theory with defects. The construction can be used to analyze infinitely strongly-coupled limits and S-dualities of such gauge theories, resulting in a new class of isolated four-dimensional N=2 superconformal field theories with SO(2N)^3 flavor symmetry. |
hep-th/9406206 | null | E. Alvarez, L. Alvarez-Gaume and Y. Lozano | A Canonical Approach to Duality Transformations | 11 p, LaTex, preprint CERN-TH-7337/94 (some comments and references
added) | Phys.Lett.B336:183-189,1994 | 10.1016/0370-2693(94)00982-1 | null | hep-th | null | We show that Buscher's abelian duality transformation rules can be recovered
in a very simple way by performing a canonical transformation first suggested
by Giveon, Rabinovici and Veneziano. We explore the properties of this
transformation, and also discuss some aspects of non-abelian duality.
| [
{
"created": "Thu, 30 Jun 1994 14:12:11 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 1994 20:18:59 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Alvarez",
"E.",
""
],
[
"Alvarez-Gaume",
"L.",
""
],
[
"Lozano",
"Y.",
""
]
] | We show that Buscher's abelian duality transformation rules can be recovered in a very simple way by performing a canonical transformation first suggested by Giveon, Rabinovici and Veneziano. We explore the properties of this transformation, and also discuss some aspects of non-abelian duality. |
2202.02603 | Dmitri Vassilevich | Carlos Valcarcel, Dmitri Vassilevich | Target space diffeomorphisms in Poisson sigma models and asymptotic
symmetries in 2D dilaton gravities | 11 pages, revtex 4-2, V2: typos corrected and a reference added, V3:
another reference and a comment added | Phys.Rev.D 105 (2022) 10, 106016 | 10.1103/PhysRevD.105.106016 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The dilaton gravity models in two dimensions, including the
Jackiw--Teitelboim model and its deformations, are particular cases of Poisson
sigma models. Target space diffeomorphisms map one Poisson sigma model to
another. We propose to use these diffsomorphisms to identify asymptotic
conditions, boundary actions, and asymptotic symmetries in distinct dilaton
gravity models. As an example, we use the asymptotic conditions in
Jackiw--Teitelboim gravity to construct an asymptotic problem with Virasoro
symmetry in a class of asymptotically Rindler models. We show, that the method
can be applied to a wide class of pairs of dilaton gravities and discuss
possible generalizations.
| [
{
"created": "Sat, 5 Feb 2022 17:32:36 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Feb 2022 23:35:12 GMT",
"version": "v2"
},
{
"created": "Fri, 20 May 2022 05:22:52 GMT",
"version": "v3"
}
] | 2022-05-23 | [
[
"Valcarcel",
"Carlos",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] | The dilaton gravity models in two dimensions, including the Jackiw--Teitelboim model and its deformations, are particular cases of Poisson sigma models. Target space diffeomorphisms map one Poisson sigma model to another. We propose to use these diffsomorphisms to identify asymptotic conditions, boundary actions, and asymptotic symmetries in distinct dilaton gravity models. As an example, we use the asymptotic conditions in Jackiw--Teitelboim gravity to construct an asymptotic problem with Virasoro symmetry in a class of asymptotically Rindler models. We show, that the method can be applied to a wide class of pairs of dilaton gravities and discuss possible generalizations. |
hep-th/9605173 | Richard Easther | Richard Easther and Kei-ichi Maeda (Waseda University) | One-Loop Superstring Cosmology and the Non-Singular Universe | 19 pages, 3 figures (postscript), Latex2e, discussion of curvature
invariants added. To appear in Phys. Rev. D | Phys.Rev. D54 (1996) 7252-7260 | 10.1103/PhysRevD.54.7252 | WU-AP/58/96 | hep-th astro-ph gr-qc | null | We study the cosmological implications of the one-loop terms in the string
expansion. In particular, we find non-singular solutions which interpolate
between a contracting universe and an expanding universe, and show that these
solutions provide a mechanism for removing the initial conditions problem
peculiar to spatially closed FRW cosmologies. In addition, we perform numerical
calculations to show that the non-singular cosmologies do not require a careful
choice of initial conditions, and estimate the likely magnitude of higher order
terms in the string expansion.
| [
{
"created": "Thu, 23 May 1996 02:50:14 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Sep 1996 15:22:42 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Easther",
"Richard",
"",
"Waseda University"
],
[
"Maeda",
"Kei-ichi",
"",
"Waseda University"
]
] | We study the cosmological implications of the one-loop terms in the string expansion. In particular, we find non-singular solutions which interpolate between a contracting universe and an expanding universe, and show that these solutions provide a mechanism for removing the initial conditions problem peculiar to spatially closed FRW cosmologies. In addition, we perform numerical calculations to show that the non-singular cosmologies do not require a careful choice of initial conditions, and estimate the likely magnitude of higher order terms in the string expansion. |
hep-th/9710130 | Damir Rakityansky | Yu. A. Sitenko and D. G. Rakityansky | Self-Adjointness and Polarization of the Fermionic Vacuum in the
Background of Nontrivial Topology | 13 pages, LaTeX2e, 4 figures. Talk presented at the International
Workshop "Mathematical Physics-today, Priority Technologies-for tomorrow" (in
honour of the 70th anniversary of Professor Walter Thirring's birth), 12-17
May, Kyiv, Ukraine | null | null | null | hep-th | null | Singular configuration of an external static magnetic field in the form of a
string polarizes vacuum in the secondly quantized theory on a plane which is
orthogonal to the string axis. We consider the most general boundary conditions
at the punctured singular point, which are compatible with the self-adjointness
of the two-dimensional Dirac Hamiltonian. The dependence of the induced vacuum
quantum numbers on the self-adjoint extension parameter and the flux of the
string is determined.
| [
{
"created": "Thu, 16 Oct 1997 09:47:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sitenko",
"Yu. A.",
""
],
[
"Rakityansky",
"D. G.",
""
]
] | Singular configuration of an external static magnetic field in the form of a string polarizes vacuum in the secondly quantized theory on a plane which is orthogonal to the string axis. We consider the most general boundary conditions at the punctured singular point, which are compatible with the self-adjointness of the two-dimensional Dirac Hamiltonian. The dependence of the induced vacuum quantum numbers on the self-adjoint extension parameter and the flux of the string is determined. |
1206.2458 | Francesco Antonuccio | Francesco Antonuccio | 4-Spinors and a Projection onto 3+1 Spacetime | 12 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We write down an explicit projection that maps any given 4-spinor to a point
in 3+1 spacetime while commuting with the Lorentz action. This suggests that a
Lorentz invariant theory - including spacetime itself - has a more natural
expression in terms of these primitive spinor variables, while an ordinary
spacetime interpretation may be obtained by projecting solutions. Using this
projection, we show how the real components of a given 4-spinor reference a
point in a five dimensional spacetime.
| [
{
"created": "Tue, 12 Jun 2012 08:33:05 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2012 09:14:13 GMT",
"version": "v2"
}
] | 2012-08-29 | [
[
"Antonuccio",
"Francesco",
""
]
] | We write down an explicit projection that maps any given 4-spinor to a point in 3+1 spacetime while commuting with the Lorentz action. This suggests that a Lorentz invariant theory - including spacetime itself - has a more natural expression in terms of these primitive spinor variables, while an ordinary spacetime interpretation may be obtained by projecting solutions. Using this projection, we show how the real components of a given 4-spinor reference a point in a five dimensional spacetime. |
1508.01658 | Aninda Sinha | Srijit Bhattacharjee, Arpan Bhattacharyya, Sudipta Sarkar, Aninda
Sinha | Entropy functionals and c-theorems from the second law | 32 pages, 1 figure. v3: version to appear in PRD | Phys. Rev. D 93, 104045 (2016) | 10.1103/PhysRevD.93.104045 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for a general four derivative theory of gravity, only the
holographic entanglement entropy functionals obey the second law at linearized
order in perturbations. We also derive bounds on the higher curvature couplings
in several examples, demanding the validity of the second law for higher order
perturbations. For the five dimensional Gauss-Bonnet theory in the context of
AdS/CFT, the bound arising from black branes coincides with there being no
sound channel instability close to the horizon. Repeating the analysis for
topological black holes, the bound coincides with the tensor channel causality
constraint (which is responsible for the viscosity bound). Furthermore, we show
how to recover the holographic c-theorems in higher curvature theories from
similar considerations based on the Raychaudhuri equation.
| [
{
"created": "Fri, 7 Aug 2015 10:57:22 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2015 11:50:07 GMT",
"version": "v2"
},
{
"created": "Wed, 11 May 2016 04:25:05 GMT",
"version": "v3"
}
] | 2016-06-01 | [
[
"Bhattacharjee",
"Srijit",
""
],
[
"Bhattacharyya",
"Arpan",
""
],
[
"Sarkar",
"Sudipta",
""
],
[
"Sinha",
"Aninda",
""
]
] | We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations. We also derive bounds on the higher curvature couplings in several examples, demanding the validity of the second law for higher order perturbations. For the five dimensional Gauss-Bonnet theory in the context of AdS/CFT, the bound arising from black branes coincides with there being no sound channel instability close to the horizon. Repeating the analysis for topological black holes, the bound coincides with the tensor channel causality constraint (which is responsible for the viscosity bound). Furthermore, we show how to recover the holographic c-theorems in higher curvature theories from similar considerations based on the Raychaudhuri equation. |
0906.5217 | Pattabhirama Yogendran | Ville Keranen, Esko Keski-Vakkuri, Sean Nowling and K. P. Yogendran | Dark Solitons in Holographic Superfluids | 5 pages, Revtex, 5 figures, some typos corrected. Reference added | Phys. Rev. D 80, 121901(R), 2009 | 10.1103/PhysRevD.80.121901 | HIP-2009-18/TH | hep-th cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct dark soliton solutions in a holographic model of a relativistic
superfluid. We study the length scales associated with the condensate and the
charge density depletion, and find that the two scales differ by a non-trivial
function of the chemical potential. By adjusting the chemical potential, we
study the variation of the depletion of charge density at the interface.
| [
{
"created": "Mon, 29 Jun 2009 08:07:58 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2009 12:27:30 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Nov 2009 15:48:46 GMT",
"version": "v3"
}
] | 2010-01-02 | [
[
"Keranen",
"Ville",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Nowling",
"Sean",
""
],
[
"Yogendran",
"K. P.",
""
]
] | We construct dark soliton solutions in a holographic model of a relativistic superfluid. We study the length scales associated with the condensate and the charge density depletion, and find that the two scales differ by a non-trivial function of the chemical potential. By adjusting the chemical potential, we study the variation of the depletion of charge density at the interface. |
1602.08275 | Josef Kluson | J. Kluson | (m,n)-String in (p,q)-String and (p,q)-Five Brane Background | 20 pages, v2:reference added | null | 10.1140/epjc/s10052-016-4414-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study dynamics of (m,n)-string in (p,q)-five brane and (p,q)-string
background. We determine world-volume stress energy tensor and we analyze the
dependence of the string's dynamics on the values of the charges (m,n) and the
value of the angular momentum.
| [
{
"created": "Fri, 26 Feb 2016 11:16:50 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2016 10:24:58 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Kluson",
"J.",
""
]
] | We study dynamics of (m,n)-string in (p,q)-five brane and (p,q)-string background. We determine world-volume stress energy tensor and we analyze the dependence of the string's dynamics on the values of the charges (m,n) and the value of the angular momentum. |
1710.04278 | Andrei Linde | Andrei Linde | On the problem of initial conditions for inflation | 18 pages, 6 figures, added a discussion of initial conditions for
small field inflation, and for cosmological attractors with potentials with a
finite plateau | null | 10.1007/s10701-018-0177-9 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I review the present status of the problem of initial conditions for
inflation and describe several ways to solve this problem for many popular
inflationary models, including the recent generation of the models with plateau
potentials favored by cosmological observations.
| [
{
"created": "Wed, 11 Oct 2017 19:54:15 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Mar 2018 17:08:48 GMT",
"version": "v2"
}
] | 2018-08-01 | [
[
"Linde",
"Andrei",
""
]
] | I review the present status of the problem of initial conditions for inflation and describe several ways to solve this problem for many popular inflationary models, including the recent generation of the models with plateau potentials favored by cosmological observations. |
hep-th/9511144 | Manoelito Martins de Souza | Manoelito M. de Souza | Electrodynamics Classical Inconsistencies | 15 pages, Revtex, 1 ps figure | null | null | UFES-DF-MMS-95/3 | hep-th gr-qc hep-ph | null | The problems of Classical Electrodynamics with the electron equation of
motion and with non-integrable singularity of its self-field stress tensor are
well known. They are consequences, we show, of neglecting terms that are null
off the charge world line but that gives a non null contribution on its world
line. The self-field stress tensor of a point classical electron is integrable,
there is no causality violation and no conflict with energy conservation in its
equation of motion, and there is no need of any kind of renormalization nor of
any change in the Maxwell's theory for this.
(This is part of the paper hep-th/9510160, stripped , for simplicity, of its
non-Minkowskian geometrization of causality and of its discussion about the
physical meaning of the Maxwell-Faraday concept of field).
| [
{
"created": "Tue, 21 Nov 1995 13:37:53 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 1995 11:48:23 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"de Souza",
"Manoelito M.",
""
]
] | The problems of Classical Electrodynamics with the electron equation of motion and with non-integrable singularity of its self-field stress tensor are well known. They are consequences, we show, of neglecting terms that are null off the charge world line but that gives a non null contribution on its world line. The self-field stress tensor of a point classical electron is integrable, there is no causality violation and no conflict with energy conservation in its equation of motion, and there is no need of any kind of renormalization nor of any change in the Maxwell's theory for this. (This is part of the paper hep-th/9510160, stripped , for simplicity, of its non-Minkowskian geometrization of causality and of its discussion about the physical meaning of the Maxwell-Faraday concept of field). |
hep-th/9710118 | Loriano Bonora | L.Bonora, A.Sorin | The N=2 supersymmetric Toda lattice and matrix models | 22 pages, Latex | Nucl.Phys. B521 (1998) 444-470 | 10.1016/S0550-3213(98)00223-5 | SISSA 131/97/EP | hep-th nlin.SI solv-int | null | We propose a new integrable N=2 supersymmetric Toda lattice hierarchy which
may be relevant for constructing a supersymmetric one-matrix model. We define
its first two Hamiltonian structures, the recursion operator and Lax--pair
representation. We provide partial evidence for the existence of an
infinite-dimensional N=2 superalgebra of its flows. We study its bosonic limit
and introduce new Lax-pair representations for the bosonic Toda lattice
hierarchy. Finally we discuss the relevance this approach for constructing N=2
supersymmetric generalized Toda lattice hierarchies.
| [
{
"created": "Wed, 15 Oct 1997 09:42:53 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bonora",
"L.",
""
],
[
"Sorin",
"A.",
""
]
] | We propose a new integrable N=2 supersymmetric Toda lattice hierarchy which may be relevant for constructing a supersymmetric one-matrix model. We define its first two Hamiltonian structures, the recursion operator and Lax--pair representation. We provide partial evidence for the existence of an infinite-dimensional N=2 superalgebra of its flows. We study its bosonic limit and introduce new Lax-pair representations for the bosonic Toda lattice hierarchy. Finally we discuss the relevance this approach for constructing N=2 supersymmetric generalized Toda lattice hierarchies. |
2205.00907 | Miok Park | Alexandros Papageorgiou, Chan Park, and Miok Park | Rectifying No-Hair Theorems in Gauss-Bonnet theory | v2 : 6 pages, 6 figures, remove/replace some figures, references are
added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the no-hair theorems in Einstein-Scalar-Gauss-Bonnet theory with a
general coupling function between the scalar and the Gauss-Bonnet term in four
dimensional spacetime. In the case of the old no-hair theorem the surface term
has so far been ignored, but this plays a crucial role when the coupling
function does not vanish at infinity and the scalar field admits a power
expansion with respect to the inverse of the radial coordinate in that regime.
We also clarify that the novel no-hair theorem is always evaded for regular
black hole solutions without any restrictions as long as the regularity
conditions are satisfied.
| [
{
"created": "Mon, 2 May 2022 13:36:23 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2022 10:22:43 GMT",
"version": "v2"
}
] | 2022-05-12 | [
[
"Papageorgiou",
"Alexandros",
""
],
[
"Park",
"Chan",
""
],
[
"Park",
"Miok",
""
]
] | We revisit the no-hair theorems in Einstein-Scalar-Gauss-Bonnet theory with a general coupling function between the scalar and the Gauss-Bonnet term in four dimensional spacetime. In the case of the old no-hair theorem the surface term has so far been ignored, but this plays a crucial role when the coupling function does not vanish at infinity and the scalar field admits a power expansion with respect to the inverse of the radial coordinate in that regime. We also clarify that the novel no-hair theorem is always evaded for regular black hole solutions without any restrictions as long as the regularity conditions are satisfied. |
2002.00256 | Aleksandr Kurov | W. Houthoff, A. Kurov, F. Saueressig | On the scaling of composite operators in Asymptotic Safety | matches published version | null | 10.1007/JHEP04(2020)099 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Asymptotic Safety hypothesis states that the high-energy completion of
gravity is provided by an interacting renormalization group fixed point. This
implies non-trivial quantum corrections to the scaling dimensions of operators
and correlation functions which are characteristic for the corresponding
universality class. We use the composite operator formalism for the effective
average action to derive an analytic expression for the scaling dimension of an
infinite family of geometric operators $\int d^dx \sqrt{g} R^n$. We demonstrate
that the anomalous dimensions interpolate continuously between their fixed
point value and zero when evaluated along renormalization group trajectories
approximating classical general relativity at low energy. Thus classical
geometry emerges when quantum fluctuations are integrated out. We also compare
our results to the stability properties of the interacting renormalization
group fixed point projected to $f(R)$-gravity, showing that the composite
operator formalism in the single-operator approximation cannot be used to
reliably determine the number of relevant parameters of the theory.
| [
{
"created": "Sat, 1 Feb 2020 19:03:21 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2020 16:01:39 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Houthoff",
"W.",
""
],
[
"Kurov",
"A.",
""
],
[
"Saueressig",
"F.",
""
]
] | The Asymptotic Safety hypothesis states that the high-energy completion of gravity is provided by an interacting renormalization group fixed point. This implies non-trivial quantum corrections to the scaling dimensions of operators and correlation functions which are characteristic for the corresponding universality class. We use the composite operator formalism for the effective average action to derive an analytic expression for the scaling dimension of an infinite family of geometric operators $\int d^dx \sqrt{g} R^n$. We demonstrate that the anomalous dimensions interpolate continuously between their fixed point value and zero when evaluated along renormalization group trajectories approximating classical general relativity at low energy. Thus classical geometry emerges when quantum fluctuations are integrated out. We also compare our results to the stability properties of the interacting renormalization group fixed point projected to $f(R)$-gravity, showing that the composite operator formalism in the single-operator approximation cannot be used to reliably determine the number of relevant parameters of the theory. |
hep-th/9809200 | Esposito Giampiero | Giampiero Esposito | Nonlocal Ghost Formalism for Quantum Gravity | 6 pages, Revtex. In the present version, all ideas and calculations
are entirely new | Grav.Cosmol. 6 (2000) S43-S46 | null | DSF preprint 98/33 | hep-th | null | The quantum theory of a free particle on a portion of two-dimensional
Euclidean space bounded by a circle and subject to non-local boundary
conditions gives rise to bulk and surface states. Starting from this well known
property, a counterpart for gravity is here considered. In particular, if
spatial components of metric perturbations are set to zero at the boundary,
invariance of the full set of boundary conditions under infinitesimal
diffeomorphisms is compatible with non-local boundary conditions on normal
components of metric perturbations if and only if both the gauge-field operator
and the ghost operator are pseudo-differential operators in one-loop quantum
gravity.
| [
{
"created": "Tue, 29 Sep 1998 07:54:15 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 1999 10:32:55 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Jul 1999 18:19:00 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Esposito",
"Giampiero",
""
]
] | The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a counterpart for gravity is here considered. In particular, if spatial components of metric perturbations are set to zero at the boundary, invariance of the full set of boundary conditions under infinitesimal diffeomorphisms is compatible with non-local boundary conditions on normal components of metric perturbations if and only if both the gauge-field operator and the ghost operator are pseudo-differential operators in one-loop quantum gravity. |
2404.17354 | Wen-Bin Pan | Wen-Bin Pan, Ya-Wen Sun and Yuan-Tai Wang | Pole-skipping for massive fields and the Stueckelberg formalism | 50 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pole-skipping refers to the special phenomenon that the pole and the zero of
a retarded two-point Green's function coincide at certain points in momentum
space. We study the pole-skipping phenomenon in holographic Green's functions
of boundary operators that are dual to massive $p$-form fields and the dRGT
massive gravitational fields in the AdS black hole background. Pole-skipping
points for these systems are computed using the near horizon method. The
relation between the pole-skipping points of massive fields and their massless
counterparts is revealed. In particular, as the field mass $m$ is varied from
zero to non-zero, the pole-skipping phenomenon undergoes an abrupt change with
doubled pole-skipping points found in the massive case. This arises from the
breaking of gauge invariance due to the mass term and the consequent appearance
of more degrees of freedom. We recover the gauge invariance using the
Stueckelberg formalism by introducing auxiliary dynamical fields. The extra
pole-skipping points are identified to be associated with the Stueckelberg
fields. We also observe that, as the mass varies, some pole-skipping points of
the wave number $q$ may move from a non-physical region with complex $q$ to a
physical region with real $q$.
| [
{
"created": "Fri, 26 Apr 2024 12:11:47 GMT",
"version": "v1"
}
] | 2024-04-29 | [
[
"Pan",
"Wen-Bin",
""
],
[
"Sun",
"Ya-Wen",
""
],
[
"Wang",
"Yuan-Tai",
""
]
] | Pole-skipping refers to the special phenomenon that the pole and the zero of a retarded two-point Green's function coincide at certain points in momentum space. We study the pole-skipping phenomenon in holographic Green's functions of boundary operators that are dual to massive $p$-form fields and the dRGT massive gravitational fields in the AdS black hole background. Pole-skipping points for these systems are computed using the near horizon method. The relation between the pole-skipping points of massive fields and their massless counterparts is revealed. In particular, as the field mass $m$ is varied from zero to non-zero, the pole-skipping phenomenon undergoes an abrupt change with doubled pole-skipping points found in the massive case. This arises from the breaking of gauge invariance due to the mass term and the consequent appearance of more degrees of freedom. We recover the gauge invariance using the Stueckelberg formalism by introducing auxiliary dynamical fields. The extra pole-skipping points are identified to be associated with the Stueckelberg fields. We also observe that, as the mass varies, some pole-skipping points of the wave number $q$ may move from a non-physical region with complex $q$ to a physical region with real $q$. |
hep-th/0108176 | Tamiaki Yoneya | Yasuhiro Sekino and Tamiaki Yoneya | From Supermembrane to Matrix String | 36 pages, 1 figure | Nucl.Phys. B619 (2001) 22-50 | 10.1016/S0550-3213(01)00546-6 | UT-KOMABA/01-04, TIT/HEP-469 | hep-th | null | We develop a systematic method of directly embedding supermembrane wrapped
around a circle into matrix string theory. Our purpose is to study connection
between matrix string and membrane from an entirely 11 dimensional point of
view. The method does neither rely upon the DLCQ limit nor upon string
dualities. In principle, this enables us to construct matrix string theory with
arbitrary backgrounds from the corresponding supermembrane theory. As a
simplest application of the formalism, the matrix-string action with a 7 brane
background (Kaluza-Klein Melvin solution) with nontrivial RR vector field is
given.
| [
{
"created": "Thu, 23 Aug 2001 13:34:53 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Sekino",
"Yasuhiro",
""
],
[
"Yoneya",
"Tamiaki",
""
]
] | We develop a systematic method of directly embedding supermembrane wrapped around a circle into matrix string theory. Our purpose is to study connection between matrix string and membrane from an entirely 11 dimensional point of view. The method does neither rely upon the DLCQ limit nor upon string dualities. In principle, this enables us to construct matrix string theory with arbitrary backgrounds from the corresponding supermembrane theory. As a simplest application of the formalism, the matrix-string action with a 7 brane background (Kaluza-Klein Melvin solution) with nontrivial RR vector field is given. |
1906.01489 | Antonio Soares de Castro | Antonio S. de Castro | Equivalence between the planar Dirac oscillator and a spin-1/2 fermion
embedded in a transverse homogeneous magnetic field | null | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that a spin-1/2 fermion coupled to the axially symmetric
electromagnetic vector potential has the same matrix structure as that one for
the planar Dirac oscillator. In particular, the planar Dirac oscillator can be
interpreted as a charged particle minimally coupled to a transverse homogeneous
magnetic field.
| [
{
"created": "Tue, 4 Jun 2019 14:57:03 GMT",
"version": "v1"
}
] | 2019-06-05 | [
[
"de Castro",
"Antonio S.",
""
]
] | It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field. |
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