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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2401.16248 | Alicia Castro | Alicia Castro | Random Geometry and Quantum Spacetime: From scale-invariant random
geometries and asymptotic safety to random hyperbolic surfaces and JT gravity | PhD thesis, 158 pages | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis is driven by a central question: "What can we learn from random
geometries about the structure of quantum spacetime?" In Chapter 2, we provide
a partial review of the mathematical foundation of this thesis, random
geometry. In Chapter 3, we use a construction coming from random geometry
called Mating of Trees to build scale-invariant random geometries that appear
in Liouville Quantum Gravity and have the potential to implement the UV fixed
point predicted by Asymptotic Safety in two and three dimensions. In Chapter 4
we explore the random geometry formulation of JT gravity and how our
understanding of random critical maps yields the discovery of a new family of
deformations of JT gravity. Furthermore, the connection between JT gravity and
matrix models leads us to delve deeper into the link between discrete geometry
and hyperbolic surfaces, building upon the geometry of metric maps and
irreducible metric maps in Chapter 5.
| [
{
"created": "Mon, 29 Jan 2024 15:50:54 GMT",
"version": "v1"
}
] | 2024-01-30 | [
[
"Castro",
"Alicia",
""
]
] | This thesis is driven by a central question: "What can we learn from random geometries about the structure of quantum spacetime?" In Chapter 2, we provide a partial review of the mathematical foundation of this thesis, random geometry. In Chapter 3, we use a construction coming from random geometry called Mating of Trees to build scale-invariant random geometries that appear in Liouville Quantum Gravity and have the potential to implement the UV fixed point predicted by Asymptotic Safety in two and three dimensions. In Chapter 4 we explore the random geometry formulation of JT gravity and how our understanding of random critical maps yields the discovery of a new family of deformations of JT gravity. Furthermore, the connection between JT gravity and matrix models leads us to delve deeper into the link between discrete geometry and hyperbolic surfaces, building upon the geometry of metric maps and irreducible metric maps in Chapter 5. |
hep-th/9203022 | C. V. Johnson | Clifford Johnson, Tim Morris and Bill Spence | Stable Non--Perturbative Minimal Models Coupled to 2D Quantum Gravity | (35 pp; two figures not included; plain TEX) | Nucl.Phys. B384 (1992) 381-410 | 10.1016/0550-3213(92)90472-N | null | hep-th | null | A generalisation of the non--perturbatively stable solutions of string
equations which respect the KdV flows, obtained recently for the $(2m-1,2)$
conformal minimal models coupled to two--dimensional quantum gravity, is
presented for the $(p,q)$ models. These string equations are the most general
string equations compatible with the $q$--th generalised KdV flows. They
exhibit a close relationship with the bi-hamiltonian structure in these
hierarchies. The Ising model is studied as a particular example, for which a
real non-singular numerical solution to the string susceptibility is presented.
| [
{
"created": "Mon, 9 Mar 1992 09:52:08 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Johnson",
"Clifford",
""
],
[
"Morris",
"Tim",
""
],
[
"Spence",
"Bill",
""
]
] | A generalisation of the non--perturbatively stable solutions of string equations which respect the KdV flows, obtained recently for the $(2m-1,2)$ conformal minimal models coupled to two--dimensional quantum gravity, is presented for the $(p,q)$ models. These string equations are the most general string equations compatible with the $q$--th generalised KdV flows. They exhibit a close relationship with the bi-hamiltonian structure in these hierarchies. The Ising model is studied as a particular example, for which a real non-singular numerical solution to the string susceptibility is presented. |
1511.05484 | Ant\'on F. Faedo | Ant\'on F. Faedo, Arnab Kundu, David Mateos, Christiana Pantelidou and
Javier Tarr\'io | Three-dimensional super Yang-Mills with compressible quark matter | 32 pages plus appendices, 11 figures | null | 10.1007/JHEP03(2016)154 | ICCUB-15-023 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the gravity dual of three-dimensional, $SU(N_{\textrm{c}})$
super Yang-Mills theory with $N_{\textrm{f}}$ flavors of dynamical quarks in
the presence of a non-zero quark density $N_{\textrm{q}}$. The supergravity
solutions include the backreaction of $N_{\textrm{c}}$ color D2-branes and
$N_{\textrm{f}}$ flavor D6-branes with $N_{\textrm{q}}$ units of electric flux
on their worldvolume. For massless quarks, the solutions depend non-trivially
only on the dimensionless combination $\rho=N_{\textrm{c}}^2 N_{\textrm{q}} /
\lambda^2 N_{\textrm{f}}^4$, with $\lambda=g_{\textrm{YM}}^2 N_{\textrm{c}}$
the 't Hooft coupling, and describe renormalization group flows between the
super Yang-Mills theory in the ultraviolet and a non-relativistic theory in the
infrared. The latter is dual to a hyperscaling-violating, Lifshitz-like
geometry with dynamical and hyperscaling-violating exponents $z=5$ and
$\theta=1$, respectively. If $\rho \ll 1$ then at intermediate energies there
is also an approximate AdS$_4$ region, dual to a conformal Chern-Simons-Matter
theory, in which the flow exhibits quasi-conformal dynamics. At zero
temperature we compute the chemical potential and the equation of state and
extract the speed of sound. At low temperature we compute the entropy density
and extract the number of low-energy degrees of freedom. For quarks of non-zero
mass $M_{\textrm{q}}$ the physics depends non-trivially on $\rho$ and
$M_{\textrm{q}} N_{\textrm{c}}/\lambda N_{\textrm{f}}$.
| [
{
"created": "Tue, 17 Nov 2015 17:38:00 GMT",
"version": "v1"
}
] | 2016-04-20 | [
[
"Faedo",
"Antón F.",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Mateos",
"David",
""
],
[
"Pantelidou",
"Christiana",
""
],
[
"Tarrío",
"Javier",
""
]
] | We construct the gravity dual of three-dimensional, $SU(N_{\textrm{c}})$ super Yang-Mills theory with $N_{\textrm{f}}$ flavors of dynamical quarks in the presence of a non-zero quark density $N_{\textrm{q}}$. The supergravity solutions include the backreaction of $N_{\textrm{c}}$ color D2-branes and $N_{\textrm{f}}$ flavor D6-branes with $N_{\textrm{q}}$ units of electric flux on their worldvolume. For massless quarks, the solutions depend non-trivially only on the dimensionless combination $\rho=N_{\textrm{c}}^2 N_{\textrm{q}} / \lambda^2 N_{\textrm{f}}^4$, with $\lambda=g_{\textrm{YM}}^2 N_{\textrm{c}}$ the 't Hooft coupling, and describe renormalization group flows between the super Yang-Mills theory in the ultraviolet and a non-relativistic theory in the infrared. The latter is dual to a hyperscaling-violating, Lifshitz-like geometry with dynamical and hyperscaling-violating exponents $z=5$ and $\theta=1$, respectively. If $\rho \ll 1$ then at intermediate energies there is also an approximate AdS$_4$ region, dual to a conformal Chern-Simons-Matter theory, in which the flow exhibits quasi-conformal dynamics. At zero temperature we compute the chemical potential and the equation of state and extract the speed of sound. At low temperature we compute the entropy density and extract the number of low-energy degrees of freedom. For quarks of non-zero mass $M_{\textrm{q}}$ the physics depends non-trivially on $\rho$ and $M_{\textrm{q}} N_{\textrm{c}}/\lambda N_{\textrm{f}}$. |
1810.11026 | Jerome P. Gauntlett | Christopher Couzens, Jerome P. Gauntlett, Dario Martelli and James
Sparks | A geometric dual of $c$-extremization | 67 pages. Minor changes, published version | null | 10.1007/JHEP01(2019)212 | Imperial/TP/2018/JG/03 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider supersymmetric AdS$_3 \times Y_7$ and AdS$_2 \times Y_9$
solutions of type IIB and $D=11$ supergravity, respectively, that are
holographically dual to SCFTs with $(0,2)$ supersymmetry in two dimensions and
$\mathcal{N}=2$ supersymmetry in one dimension. The geometry of $Y_{2n+1}$,
which can be defined for $n\ge 3$, shares many similarities with
Sasaki-Einstein geometry, including the existence of a canonical R-symmetry
Killing vector, but there are also some crucial differences. We show that the
R-symmetry Killing vector may be determined by extremizing a function that
depends only on certain global, topological data. In particular, assuming it
exists, for $n=3$ one can compute the central charge of an AdS$_3 \times Y_7$
solution without knowing its explicit form. We interpret this as a geometric
dual of $c$-extremization in $(0,2)$ SCFTs. For the case of AdS$_2 \times Y_9$
solutions we show that the extremal problem can be used to obtain properties of
the dual quantum mechanics, including obtaining the entropy of a class of
supersymmetric black holes in AdS$_4$. We also study many specific examples of
the type AdS$_3\times T^2 \times Y_5$, including a new family of explicit
supergravity solutions. In addition we discuss the possibility that the $(0,2)$
SCFTs dual to these solutions can arise from the compactification on $T^2$ of
certain $d=4$ quiver gauge theories associated with five-dimensional
Sasaki-Einstein metrics and, surprisingly, come to a negative conclusion.
| [
{
"created": "Thu, 25 Oct 2018 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jan 2019 13:32:33 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Couzens",
"Christopher",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] | We consider supersymmetric AdS$_3 \times Y_7$ and AdS$_2 \times Y_9$ solutions of type IIB and $D=11$ supergravity, respectively, that are holographically dual to SCFTs with $(0,2)$ supersymmetry in two dimensions and $\mathcal{N}=2$ supersymmetry in one dimension. The geometry of $Y_{2n+1}$, which can be defined for $n\ge 3$, shares many similarities with Sasaki-Einstein geometry, including the existence of a canonical R-symmetry Killing vector, but there are also some crucial differences. We show that the R-symmetry Killing vector may be determined by extremizing a function that depends only on certain global, topological data. In particular, assuming it exists, for $n=3$ one can compute the central charge of an AdS$_3 \times Y_7$ solution without knowing its explicit form. We interpret this as a geometric dual of $c$-extremization in $(0,2)$ SCFTs. For the case of AdS$_2 \times Y_9$ solutions we show that the extremal problem can be used to obtain properties of the dual quantum mechanics, including obtaining the entropy of a class of supersymmetric black holes in AdS$_4$. We also study many specific examples of the type AdS$_3\times T^2 \times Y_5$, including a new family of explicit supergravity solutions. In addition we discuss the possibility that the $(0,2)$ SCFTs dual to these solutions can arise from the compactification on $T^2$ of certain $d=4$ quiver gauge theories associated with five-dimensional Sasaki-Einstein metrics and, surprisingly, come to a negative conclusion. |
2108.08156 | Matheus Ara\'ujo Marques | I. Andrade, D. Bazeia, M.A. Liao, M.A. Marques, R. Menezes | First order framework for vortices in generalized Maxwell-Chern-Simons
models without a neutral field | 7 pages, 6 figures; equations and text added | Mod. Phys. Lett. A 37 (2022) 2250225 | 10.1142/S021773232250225X | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work introduces a procedure to obtain vortex configurations described by
first order equations in generalized Maxwell-Chern-Simons models without the
inclusion of a neutral field. The results show that the novel methodology is
capable of inducing important modification in the vortex core, leading to
vortex configurations with unconventional features.
| [
{
"created": "Wed, 18 Aug 2021 13:57:50 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2021 19:50:41 GMT",
"version": "v2"
}
] | 2023-03-13 | [
[
"Andrade",
"I.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Liao",
"M. A.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | This work introduces a procedure to obtain vortex configurations described by first order equations in generalized Maxwell-Chern-Simons models without the inclusion of a neutral field. The results show that the novel methodology is capable of inducing important modification in the vortex core, leading to vortex configurations with unconventional features. |
1107.2385 | Alexander Patrushev | Alexander Patrushev | Eling-Oz Formula for Exotic Hairy Black Holes | 9 pages, 4 figures, references added and corrected, minor
clarifications added, accepted by Phys. Lett. B | Physics Letters B 708 (2012) 199 | 10.1016/j.physletb.2012.01.040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We checked Eling-Oz formula [1] for the bulk viscosity of the holographic
fluid dual to the exotic black holes [2]. Initially, Eling and Oz argued that
the formula is valid in the high temperature and adiabatic limits. In [3] the
validity of the formula for $\caln=2^*$ plasma and cascading gauge theory was
pushed forward for arbitrary temperatures. We successfully verified the formula
with the computations of the bulk viscosity [4,5] for a wide range of the
temperatures. Moreover, it correctly reproduces the critical behavior in the
vicinity of the critical point, where the bulk-to-shear viscosity diverges.
| [
{
"created": "Tue, 12 Jul 2011 19:55:55 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jan 2012 20:33:52 GMT",
"version": "v2"
}
] | 2012-02-15 | [
[
"Patrushev",
"Alexander",
""
]
] | We checked Eling-Oz formula [1] for the bulk viscosity of the holographic fluid dual to the exotic black holes [2]. Initially, Eling and Oz argued that the formula is valid in the high temperature and adiabatic limits. In [3] the validity of the formula for $\caln=2^*$ plasma and cascading gauge theory was pushed forward for arbitrary temperatures. We successfully verified the formula with the computations of the bulk viscosity [4,5] for a wide range of the temperatures. Moreover, it correctly reproduces the critical behavior in the vicinity of the critical point, where the bulk-to-shear viscosity diverges. |
hep-th/0102022 | Kirk Kaminsky | Bruce A. Campbell, Kirk Kaminsky | Noncommutative Linear Sigma Models | 23 pages, Latex, uses feynmp | Nucl.Phys. B606 (2001) 613-635 | 10.1016/S0550-3213(01)00189-4 | null | hep-th hep-ph | null | We examine noncommutative linear sigma models with U(N) global symmetry
groups at the one-loop quantum level, and contrast the results with our
previous study of the noncommutative O(N) linear sigma models where we have
shown that Nambu-Goldstone symmetry realization is inconsistent with continuum
renormalization. Specifically we find no violation of Goldstone's theorem at
one-loop for the U(N) models with the quartic term ordering consistent with
possible noncommutative gauging of the model. The difference is due to terms
involving noncommutative commutator interactions, which vanish in the
commutative limit. We also examine the U(2), and O(4) linear sigma models with
matter in the adjoint representation, and find that the former is consistent
with Goldstone's theorem at one-loop if we include only trace invariants
consistent with possible noncommutative gauging of the model, while the latter
exhibits violations of Goldstone's theorem of the kind seen in the fundamental
of O(N) for N>2.
| [
{
"created": "Mon, 5 Feb 2001 23:28:54 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Campbell",
"Bruce A.",
""
],
[
"Kaminsky",
"Kirk",
""
]
] | We examine noncommutative linear sigma models with U(N) global symmetry groups at the one-loop quantum level, and contrast the results with our previous study of the noncommutative O(N) linear sigma models where we have shown that Nambu-Goldstone symmetry realization is inconsistent with continuum renormalization. Specifically we find no violation of Goldstone's theorem at one-loop for the U(N) models with the quartic term ordering consistent with possible noncommutative gauging of the model. The difference is due to terms involving noncommutative commutator interactions, which vanish in the commutative limit. We also examine the U(2), and O(4) linear sigma models with matter in the adjoint representation, and find that the former is consistent with Goldstone's theorem at one-loop if we include only trace invariants consistent with possible noncommutative gauging of the model, while the latter exhibits violations of Goldstone's theorem of the kind seen in the fundamental of O(N) for N>2. |
1105.0595 | Jiang Ke-Xia | Ke-Xia Jiang, San-Min Ke, Dan-Tao Peng | Hawking Radiation as tunneling and the unified first law of
thermodynamics for a class of dynamical black holes | 13 pages, no figures | Int.J.Mod.Phys.D18:1707-1717,2009 | 10.1142/S0218271809015254 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An analysis of relations between the tunneling rate and the unified first law
of thermodynamics at the trapping horizons of two kinds of spherically
symmetric dynamical black holes is investigated. The first kind is the
Vaidya-Bardeen black hole, the tunneling rate $\Gamma \sim e^{\triangle S}$ can
be obtained naturally from the unified first law at the apparent horizon, which
holds the form $dE_{H}=TdS+WdV$. Another is the McVittie solution, the action
of the radial null geodesic of the outgoing particles does not always has a
pole at the apparent horizon, while the ingoing mode always has one. The
solution of the ingoing mode of the radiation can be mathematically reduced to
the case in the FRW universe smoothly. However as a black hole, the physical
meaning is unclear and even puzzling.
| [
{
"created": "Tue, 3 May 2011 14:38:33 GMT",
"version": "v1"
}
] | 2011-05-05 | [
[
"Jiang",
"Ke-Xia",
""
],
[
"Ke",
"San-Min",
""
],
[
"Peng",
"Dan-Tao",
""
]
] | An analysis of relations between the tunneling rate and the unified first law of thermodynamics at the trapping horizons of two kinds of spherically symmetric dynamical black holes is investigated. The first kind is the Vaidya-Bardeen black hole, the tunneling rate $\Gamma \sim e^{\triangle S}$ can be obtained naturally from the unified first law at the apparent horizon, which holds the form $dE_{H}=TdS+WdV$. Another is the McVittie solution, the action of the radial null geodesic of the outgoing particles does not always has a pole at the apparent horizon, while the ingoing mode always has one. The solution of the ingoing mode of the radiation can be mathematically reduced to the case in the FRW universe smoothly. However as a black hole, the physical meaning is unclear and even puzzling. |
0811.4393 | Thomas Hartman | Thomas Hartman, Keiju Murata, Tatsuma Nishioka, and Andrew Strominger | CFT Duals for Extreme Black Holes | 18 pages; v2 minor changes | JHEP 0904:019,2009 | 10.1088/1126-6708/2009/04/019 | KUNS-2167 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS
black hole is holographically dual to a (chiral half of a) two-dimensional CFT,
generalizing an argument given recently for the special case of extremal Kerr.
Specifically, the asymptotic symmetries of the near-horizon region of the
general extremal black hole are shown to be generated by a Virasoro algebra.
Semiclassical formulae are derived for the central charge and temperature of
the dual CFT as functions of the cosmological constant, Newton's constant and
the black hole charges and spin. We then show, assuming the Cardy formula, that
the microscopic entropy of the dual CFT precisely reproduces the macroscopic
Bekenstein-Hawking area law. This CFT description becomes singular in the
extreme Reissner-Nordstrom limit where the black hole has no spin. At this
point a second dual CFT description is proposed in which the global part of the
U(1) gauge symmetry is promoted to a Virasoro algebra. This second description
is also found to reproduce the area law. Various further generalizations
including higher dimensions are discussed.
| [
{
"created": "Wed, 26 Nov 2008 18:04:36 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 14:20:16 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Hartman",
"Thomas",
""
],
[
"Murata",
"Keiju",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Strominger",
"Andrew",
""
]
] | It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for the special case of extremal Kerr. Specifically, the asymptotic symmetries of the near-horizon region of the general extremal black hole are shown to be generated by a Virasoro algebra. Semiclassical formulae are derived for the central charge and temperature of the dual CFT as functions of the cosmological constant, Newton's constant and the black hole charges and spin. We then show, assuming the Cardy formula, that the microscopic entropy of the dual CFT precisely reproduces the macroscopic Bekenstein-Hawking area law. This CFT description becomes singular in the extreme Reissner-Nordstrom limit where the black hole has no spin. At this point a second dual CFT description is proposed in which the global part of the U(1) gauge symmetry is promoted to a Virasoro algebra. This second description is also found to reproduce the area law. Various further generalizations including higher dimensions are discussed. |
hep-th/0602161 | Alessio Marrani | Stefano Bellucci, Sergio Ferrara, Alessio Marrani | On some properties of the Attractor Equations | 14 pages, to be published in Phys. Lett. B; a misprint in Ref. [13]
has been corrected | Phys.Lett.B635:172-179,2006 | 10.1016/j.physletb.2006.02.053 | null | hep-th | null | We discuss the Attractor Equations of N=2, $d=4$ supergravity in an extremal
black hole background with arbitrary electric and magnetic fluxes (charges) for
field-strength two-forms.
The effective one-dimensional Lagrangian in the radial (evolution) variable
exhibits features of a spontaneously broken supergravity theory. Indeed,
non-BPS Attractor solutions correspond to the vanishing determinant of a
(fermionic) gaugino mass matrix. The stability of these solutions is controlled
by the data of the underlying Special K\"{a}hler Geometry of the vector
multiplets' moduli space.
Finally, after analyzing the 1-modulus case more in detail, we briefly
comment on the choice of the K\"{a}hler gauge and its relevance for the
recently discussed entropic functional.
| [
{
"created": "Thu, 16 Feb 2006 16:00:24 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2006 12:42:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bellucci",
"Stefano",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
]
] | We discuss the Attractor Equations of N=2, $d=4$ supergravity in an extremal black hole background with arbitrary electric and magnetic fluxes (charges) for field-strength two-forms. The effective one-dimensional Lagrangian in the radial (evolution) variable exhibits features of a spontaneously broken supergravity theory. Indeed, non-BPS Attractor solutions correspond to the vanishing determinant of a (fermionic) gaugino mass matrix. The stability of these solutions is controlled by the data of the underlying Special K\"{a}hler Geometry of the vector multiplets' moduli space. Finally, after analyzing the 1-modulus case more in detail, we briefly comment on the choice of the K\"{a}hler gauge and its relevance for the recently discussed entropic functional. |
hep-th/0206016 | Mikhail Shaposhnikov | Seif Randjbar-Daemi and Mikhail Shaposhnikov | A Formalism to Analyze the Spectrum of Brane World Scenarios | Latex, 31 pages. Final version appeared in Nucl. Phys | Nucl.Phys. B645 (2002) 188-216 | 10.1016/S0550-3213(02)00828-3 | UNIL-IPT-02-07,IC/2002/43 | hep-th gr-qc hep-ph | null | In this paper we develop a formalism to analyze the spectrum of small
perturbations about arbitrary solutions of Einstein, Yang-Mills and scalar
systems. We consider a general system of gravitational, gauge and scalar fields
in a $D-$dimensional space-time and give the bilinear action for the
fluctuations of the fields in the system around an arbitrary solution of the
classical field equations. We then consider warped geometries, popular in brane
world scenarios, and use the light cone gauge to separate the bilinear action
into a totally decoupled spin-two, -one and -zero fluctuations. We apply our
general scheme to several examples and discuss in particular localization of
abelian and non-abelian gauge fields of the standard model to branes generated
by scalar fields. We show in particular that the Nielsen-Olsen string solution
gives rise to a normalizable localized spin-1 field in any number of
dimensions.
| [
{
"created": "Mon, 3 Jun 2002 16:19:41 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 2002 15:07:44 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Randjbar-Daemi",
"Seif",
""
],
[
"Shaposhnikov",
"Mikhail",
""
]
] | In this paper we develop a formalism to analyze the spectrum of small perturbations about arbitrary solutions of Einstein, Yang-Mills and scalar systems. We consider a general system of gravitational, gauge and scalar fields in a $D-$dimensional space-time and give the bilinear action for the fluctuations of the fields in the system around an arbitrary solution of the classical field equations. We then consider warped geometries, popular in brane world scenarios, and use the light cone gauge to separate the bilinear action into a totally decoupled spin-two, -one and -zero fluctuations. We apply our general scheme to several examples and discuss in particular localization of abelian and non-abelian gauge fields of the standard model to branes generated by scalar fields. We show in particular that the Nielsen-Olsen string solution gives rise to a normalizable localized spin-1 field in any number of dimensions. |
1803.08084 | Cl\'audio Gomes | Cl\'audio Gomes, Orfeu Bertolami and Jo\~ao G. Rosa | Inflation with Planck: a survey of some "exotic" inflationary models | 9 pages, 8 figures | Phys. Rev. D 97, 104061 (2018) | 10.1103/PhysRevD.97.104061 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine some inflationary models based on modifications of gravity in the
light of Planck 2015 data, such as the generalised Chaplygin inspired
inflation, models based in $N=1$ supergravity and braneworld scenarios. We also
show that, conversely, potentials with a very flat plateau yield a primordial
spectrum similar to that of the Starobinsky model with no need to modify
general relativity.
| [
{
"created": "Wed, 21 Mar 2018 18:38:47 GMT",
"version": "v1"
}
] | 2018-06-06 | [
[
"Gomes",
"Cláudio",
""
],
[
"Bertolami",
"Orfeu",
""
],
[
"Rosa",
"João G.",
""
]
] | We examine some inflationary models based on modifications of gravity in the light of Planck 2015 data, such as the generalised Chaplygin inspired inflation, models based in $N=1$ supergravity and braneworld scenarios. We also show that, conversely, potentials with a very flat plateau yield a primordial spectrum similar to that of the Starobinsky model with no need to modify general relativity. |
1105.2745 | Fernando C. Lombardo | Cesar D. Fosco, Fernando C. Lombardo, and Francisco D. Mazzitelli | Quantum dissipative effects in moving imperfect mirrors: sidewise and
normal motions | 13 pages, no figures | Phys.Rev.D84:025011,2011 | 10.1103/PhysRevD.84.025011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our previous work on the functional approach to the dynamical
Casimir effect, to compute dissipative effects due to the relative motion of
two flat, parallel, imperfect mirrors in vacuum. The interaction between the
internal degrees of freedom of the mirrors and the vacuum field is modeled with
a nonlocal term in the vacuum field action. We consider two different
situations: either the motion is `normal', i.e., the mirrors advance or recede
changing the distance $a(t)$ between them; or it is `parallel', namely, $a$
remains constant, but there is a relative sliding motion of the mirrors'
planes. For the latter, we show explicitly that there is a non-vanishing
frictional force, even for a constant shifting speed.
| [
{
"created": "Fri, 13 May 2011 14:37:37 GMT",
"version": "v1"
}
] | 2011-08-08 | [
[
"Fosco",
"Cesar D.",
""
],
[
"Lombardo",
"Fernando C.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] | We extend our previous work on the functional approach to the dynamical Casimir effect, to compute dissipative effects due to the relative motion of two flat, parallel, imperfect mirrors in vacuum. The interaction between the internal degrees of freedom of the mirrors and the vacuum field is modeled with a nonlocal term in the vacuum field action. We consider two different situations: either the motion is `normal', i.e., the mirrors advance or recede changing the distance $a(t)$ between them; or it is `parallel', namely, $a$ remains constant, but there is a relative sliding motion of the mirrors' planes. For the latter, we show explicitly that there is a non-vanishing frictional force, even for a constant shifting speed. |
hep-th/9702133 | John Schwarz | Mina Aganagic, Jaemo Park, Costin Popescu, and John H. Schwarz | Dual D-Brane Actions | 18 pages, latex, no figures; references added | Nucl.Phys. B496 (1997) 215-230 | 10.1016/S0550-3213(97)00257-5 | CALT-68-2099 | hep-th | null | Dual super Dp-brane actions are constructed by carrying out a duality
transformation of the world-volume U(1) gauge field. The resulting world-volume
actions, which contain a (p - 2)-form gauge field, are shown to have the
expected properties. Specifically, the D1-brane and D3-brane transform in ways
that can be understood on the basis of the SL(2, Z) duality of type IIB
superstring theory. Also, the D2-brane and the D4-brane transform in ways that
are expected on the basis of the relationship between type IIA superstring
theory and 11d M theory. For example, the dual D4-brane action is shown to
coincide with the double-dimensional reduction of the recently constructed
M5-brane action. The implications for gauge-fixed D-brane actions are discussed
briefly.
| [
{
"created": "Mon, 17 Feb 1997 22:11:13 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 1997 19:24:57 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Aganagic",
"Mina",
""
],
[
"Park",
"Jaemo",
""
],
[
"Popescu",
"Costin",
""
],
[
"Schwarz",
"John H.",
""
]
] | Dual super Dp-brane actions are constructed by carrying out a duality transformation of the world-volume U(1) gauge field. The resulting world-volume actions, which contain a (p - 2)-form gauge field, are shown to have the expected properties. Specifically, the D1-brane and D3-brane transform in ways that can be understood on the basis of the SL(2, Z) duality of type IIB superstring theory. Also, the D2-brane and the D4-brane transform in ways that are expected on the basis of the relationship between type IIA superstring theory and 11d M theory. For example, the dual D4-brane action is shown to coincide with the double-dimensional reduction of the recently constructed M5-brane action. The implications for gauge-fixed D-brane actions are discussed briefly. |
2102.04953 | Robin Karlsson | Robin Karlsson, Andrei Parnachev, Petar Tadi\'c | Thermalization in Large-N CFTs | 67 pages. 6 figures. v2: References added. v3: Minor corrections | null | 10.1007/JHEP09(2021)205 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In d-dimensional CFTs with a large number of degrees of freedom an important
set of operators consists of the stress tensor and its products, multi stress
tensors. Thermalization of such operators, the equality between their
expectation values in heavy states and at finite temperature, is equivalent to
a universal behavior of their OPE coefficients with a pair of identical heavy
operators. We verify this behavior in a number of examples which include
holographic and free CFTs and provide a bootstrap argument for the general
case. In a free CFT we check the thermalization of multi stress tensor
operators directly and also confirm the equality between the contributions of
multi stress tensors to heavy-heavy-light-light correlators and to the
corresponding thermal light-light two-point functions by disentangling the
contributions of other light operators. Unlike multi stress tensors, these
light operators violate the Eigenstate Thermalization Hypothesis and do not
thermalize.
| [
{
"created": "Tue, 9 Feb 2021 17:09:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2021 17:13:43 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Aug 2021 13:38:42 GMT",
"version": "v3"
}
] | 2021-10-12 | [
[
"Karlsson",
"Robin",
""
],
[
"Parnachev",
"Andrei",
""
],
[
"Tadić",
"Petar",
""
]
] | In d-dimensional CFTs with a large number of degrees of freedom an important set of operators consists of the stress tensor and its products, multi stress tensors. Thermalization of such operators, the equality between their expectation values in heavy states and at finite temperature, is equivalent to a universal behavior of their OPE coefficients with a pair of identical heavy operators. We verify this behavior in a number of examples which include holographic and free CFTs and provide a bootstrap argument for the general case. In a free CFT we check the thermalization of multi stress tensor operators directly and also confirm the equality between the contributions of multi stress tensors to heavy-heavy-light-light correlators and to the corresponding thermal light-light two-point functions by disentangling the contributions of other light operators. Unlike multi stress tensors, these light operators violate the Eigenstate Thermalization Hypothesis and do not thermalize. |
hep-th/9810254 | Dieter Luest | Andreas Karch, Dieter Lust and Andre Miemiec | N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles | 36 pages, LaTeX2e, 10 figures, additional references added, minor
corrections | Nucl.Phys.B553:483-510,1999 | 10.1016/S0550-3213(99)00260-6 | HUB-EP-98/70 | hep-th | null | In this paper we discuss the strong coupling limit of chiral N=1
supersymmetric gauge theory via their embedding into M-theory. In particular we
focus on the brane box models of Hanany and Zaffaroni and show that after a
T-duality transformation their M-theory embedding is described by
supersymmetric 3-cycles; its geometry will encode the holomorphic
non-perturbative information about the gauge theory.
| [
{
"created": "Fri, 30 Oct 1998 20:24:00 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 1998 16:13:56 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Nov 1998 16:51:11 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Karch",
"Andreas",
""
],
[
"Lust",
"Dieter",
""
],
[
"Miemiec",
"Andre",
""
]
] | In this paper we discuss the strong coupling limit of chiral N=1 supersymmetric gauge theory via their embedding into M-theory. In particular we focus on the brane box models of Hanany and Zaffaroni and show that after a T-duality transformation their M-theory embedding is described by supersymmetric 3-cycles; its geometry will encode the holomorphic non-perturbative information about the gauge theory. |
hep-th/0008160 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | AdS/CFT correspondence in cosmology | LaTeX file, 11 pages, discussion of entropy is added | Phys.Lett.B494:135-140,2000 | 10.1016/S0370-2693(00)01176-X | null | hep-th | null | The attempt to understand if AdS/CFT correspondence may be realized as the
one between some AdS-like cosmological space and CFT living on the boundary is
made. In order to obtain such cosmology we exchange the time and radial
coordinates in d5 Schwarzschild-anti de Sitter (S-AdS) BH (with corresponding
signature change). The test on proportionality of free energies from such d5
cosmological space (after AdS/CFT identification of parameters) and from ${\cal
N}=4$ SU(N) super Yang-Mills quantum theory is successfully passed.
| [
{
"created": "Mon, 21 Aug 2000 13:25:17 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2000 05:16:45 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Sep 2000 14:33:57 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | The attempt to understand if AdS/CFT correspondence may be realized as the one between some AdS-like cosmological space and CFT living on the boundary is made. In order to obtain such cosmology we exchange the time and radial coordinates in d5 Schwarzschild-anti de Sitter (S-AdS) BH (with corresponding signature change). The test on proportionality of free energies from such d5 cosmological space (after AdS/CFT identification of parameters) and from ${\cal N}=4$ SU(N) super Yang-Mills quantum theory is successfully passed. |
2203.11301 | Federico Manzoni | Federico Manzoni | 2-simplexes and superconformal central charges | 8 pages, published version | Physics Letter B, vol. 832 issue C, 2022, article n. 137268 | 10.1016/j.physletb.2022.137268 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The superconformal central charge is an important quantity for theories
emerging from string theory geometrical implementation of Quantum Field Theory
since it is linked, for example, to the scaling dimension of fields. Butti and
Zaffaroni construction of the central charge for toric Calabi-Yau threefold
geometries is a powerful tool but its implementation could be quite tricky.
Here we present an equivalent new construction based on a 2-simplexes
decomposition of the toric diagram.
| [
{
"created": "Mon, 21 Mar 2022 19:20:23 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2022 08:32:15 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Mar 2022 14:13:59 GMT",
"version": "v3"
},
{
"created": "Sat, 2 Apr 2022 09:43:47 GMT",
"version": "v4"
},
{
"created": "Fri, 8 Jul 2022 16:19:05 GMT",
"version": "v5"
}
] | 2022-07-11 | [
[
"Manzoni",
"Federico",
""
]
] | The superconformal central charge is an important quantity for theories emerging from string theory geometrical implementation of Quantum Field Theory since it is linked, for example, to the scaling dimension of fields. Butti and Zaffaroni construction of the central charge for toric Calabi-Yau threefold geometries is a powerful tool but its implementation could be quite tricky. Here we present an equivalent new construction based on a 2-simplexes decomposition of the toric diagram. |
2102.09228 | Alexandre Kisselev | A.V. Kisselev and V.A. Petrov | Can effective four-dimensional scalar theory be asymptotically free in a
spacetime with extra dimensions? | 25 pages, 2 figures. Typos in two formulas are correted | Phys. Rev. D 103, 085012 (2021) | 10.1103/PhysRevD.103.085012 | null | hep-th hep-ph math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We trace what happens with asymptotically free behavior of the running
coupling in $\phi^{3}$ theory in six-dimensional space-time if to compactify
two spatial dimensions on a 2D closed manifold. The result can be considered as
an effective 4D theory of infinitely many KK-type scalar fields with triple
interactions. The effective \emph{dimensional} coupling inherits running to
zero at high mass scales in a modified form depending on the size of the
compact manifold. Some physical implications are discussed.
| [
{
"created": "Thu, 18 Feb 2021 09:02:07 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2021 08:46:02 GMT",
"version": "v2"
}
] | 2021-05-05 | [
[
"Kisselev",
"A. V.",
""
],
[
"Petrov",
"V. A.",
""
]
] | We trace what happens with asymptotically free behavior of the running coupling in $\phi^{3}$ theory in six-dimensional space-time if to compactify two spatial dimensions on a 2D closed manifold. The result can be considered as an effective 4D theory of infinitely many KK-type scalar fields with triple interactions. The effective \emph{dimensional} coupling inherits running to zero at high mass scales in a modified form depending on the size of the compact manifold. Some physical implications are discussed. |
2103.03617 | Dennis Sivers Dr. | Dennis Sivers | Spherically Symmetric Chromostatic Condensates as an Introduction to the
Strong Conjecture for Color Confinement | 25 pages with 5 figures | null | null | PPI 19-2 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinearities imbedded in the Lagrange density for non-Abelian gauge
theories produce solutions to the Yang-Mills Maxwell equations that describe
spatially extended chromostatic condensates. For solutions in
spherically-symmetric SU(2) the topological structures separating such
condensates provide a specific solitonic description of color confinement. The
strong Conjecture The confinement mechanism for QCD involves a domain wall of
topological (CP-odd) charge separating the interior volume of hadrons from an
exterior volume. To explain the consequences of this conjecture we describe
spherically symmetric chromostatic condensates that are consistent with the
interior volume of a hadron and other condensates that are consistent with
exterior vacuum volume. We then demonstrate how the Yang-Mills Maxwell
equations can connect the two volumes with a soliton domain wall. The
preliminary phenomenological description described here does not deal
explicitly either with charged fermions or with the quantization of non-Abelian
dynamics.
| [
{
"created": "Fri, 5 Mar 2021 11:41:59 GMT",
"version": "v1"
}
] | 2021-03-08 | [
[
"Sivers",
"Dennis",
""
]
] | Nonlinearities imbedded in the Lagrange density for non-Abelian gauge theories produce solutions to the Yang-Mills Maxwell equations that describe spatially extended chromostatic condensates. For solutions in spherically-symmetric SU(2) the topological structures separating such condensates provide a specific solitonic description of color confinement. The strong Conjecture The confinement mechanism for QCD involves a domain wall of topological (CP-odd) charge separating the interior volume of hadrons from an exterior volume. To explain the consequences of this conjecture we describe spherically symmetric chromostatic condensates that are consistent with the interior volume of a hadron and other condensates that are consistent with exterior vacuum volume. We then demonstrate how the Yang-Mills Maxwell equations can connect the two volumes with a soliton domain wall. The preliminary phenomenological description described here does not deal explicitly either with charged fermions or with the quantization of non-Abelian dynamics. |
1110.3831 | Daniel Robbins | Katrin Becker, Guangyu Guo, Daniel Robbins | Four-Derivative Brane Couplings from String Amplitudes | 31 pages, 7 figures | null | 10.1007/JHEP12(2011)050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the string theory disc amplitude of one Ramond-Ramond field
C^(p-3) and two Neveu-Schwarz B-fields in the presence of a single Dp-brane in
type II string theory. From this amplitude we extract the four-derivative (or
equivalently order (alpha')^2) part of the Dp-brane action involving these
fields. We show that the new couplings are invariant under R-R and NS-NS gauge
transformations and compatible with linear T-duality.
| [
{
"created": "Mon, 17 Oct 2011 21:22:29 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Becker",
"Katrin",
""
],
[
"Guo",
"Guangyu",
""
],
[
"Robbins",
"Daniel",
""
]
] | We evaluate the string theory disc amplitude of one Ramond-Ramond field C^(p-3) and two Neveu-Schwarz B-fields in the presence of a single Dp-brane in type II string theory. From this amplitude we extract the four-derivative (or equivalently order (alpha')^2) part of the Dp-brane action involving these fields. We show that the new couplings are invariant under R-R and NS-NS gauge transformations and compatible with linear T-duality. |
hep-th/9805083 | Bernard Julia | B. L. Julia | Dualities in the classical supergravity limits | latex 22p. to appear in Proceedings of Carg\`ese NATO ASI: "Strings,
branes and dualities" May 1997 ed. P. Windey | null | null | LPTENS-98/07 | hep-th | null | Duality symmetries of supergravity theories are powerful tools to restrict
the number of possible actions, to link different dimensions and number of
supersymmetries and might help to control quantisation.
(Hodge-Dirac-)Dualisation of gauge potentials exchanges Noether and topological
charges, equations of motion and Bianchi identities, internal rigid symmetries
and gauge symmetries, local transformations with nonlocal ones and most
exciting particles and waves. We compare the actions of maximally dualised
supergravities (ie with gauge potential forms of lowest possible degree) to the
non-dualised actions coming from 11 (or 10) dimensions by plain dimensional
reduction as well as to other theories with partial dualisations. The effect on
the rigid duality group is a kind of contraction resulting from the elimination
of the unfaithful generators associated to the (inversely) dualised scalar
fields. New gauge symmetries are introduced by these (un)dualisations and it is
clear that a complete picture of duality (F(ull)-duality) should include all
gauge symmetries at the same time as the rigid symmetries and the spacetime
symmetries. We may read off some properties of F-duality on the internal rigid
Dynkin diagram: field content, possible dualisations, increase of the rank
according to the decrease of space dimension... Some recent results are
included to suggest the way towards unification via a universal twisted
self-duality (TS) structure. The analysis of this structure had revealed
several profound differences according to the parity mod 4 of the dimension of
spacetime (to be contrasted with the (Bott) period 8 of spinor properties).
| [
{
"created": "Thu, 14 May 1998 11:20:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Julia",
"B. L.",
""
]
] | Duality symmetries of supergravity theories are powerful tools to restrict the number of possible actions, to link different dimensions and number of supersymmetries and might help to control quantisation. (Hodge-Dirac-)Dualisation of gauge potentials exchanges Noether and topological charges, equations of motion and Bianchi identities, internal rigid symmetries and gauge symmetries, local transformations with nonlocal ones and most exciting particles and waves. We compare the actions of maximally dualised supergravities (ie with gauge potential forms of lowest possible degree) to the non-dualised actions coming from 11 (or 10) dimensions by plain dimensional reduction as well as to other theories with partial dualisations. The effect on the rigid duality group is a kind of contraction resulting from the elimination of the unfaithful generators associated to the (inversely) dualised scalar fields. New gauge symmetries are introduced by these (un)dualisations and it is clear that a complete picture of duality (F(ull)-duality) should include all gauge symmetries at the same time as the rigid symmetries and the spacetime symmetries. We may read off some properties of F-duality on the internal rigid Dynkin diagram: field content, possible dualisations, increase of the rank according to the decrease of space dimension... Some recent results are included to suggest the way towards unification via a universal twisted self-duality (TS) structure. The analysis of this structure had revealed several profound differences according to the parity mod 4 of the dimension of spacetime (to be contrasted with the (Bott) period 8 of spinor properties). |
hep-th/0505186 | Rong-Gen Cai | Rong-Gen Cai, Hong-Sheng Zhang, and Anzhong Wang | Crossing w=-1 in Gauss-Bonnet Brane World with Induced Gravity | Revtex 16 pages including 10 eps files, references added, to appear
in Comm. Theor. Phys | Commun.Theor.Phys.44:948,2005 | 10.1088/6102/44/5/948 | null | hep-th astro-ph gr-qc | null | Recent type Ia supernovas data seemingly favor a dark energy model whose
equation of state $w(z)$ crosses -1 very recently, which is a much more amazing
problem than the acceleration of the universe. In this paper we show that it is
possible to realize such a crossing without introducing any phantom component
in a Gauss-Bonnet brane world with induced gravity, where a four dimensional
curvature scalar on the brane and a five dimensional Gauss-Bonnet term in the
bulk are present. In this realization, the Gauss-Bonnet term and the mass
parameter in the bulk play a crucial role.
| [
{
"created": "Sat, 21 May 2005 03:40:34 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2005 03:11:50 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Zhang",
"Hong-Sheng",
""
],
[
"Wang",
"Anzhong",
""
]
] | Recent type Ia supernovas data seemingly favor a dark energy model whose equation of state $w(z)$ crosses -1 very recently, which is a much more amazing problem than the acceleration of the universe. In this paper we show that it is possible to realize such a crossing without introducing any phantom component in a Gauss-Bonnet brane world with induced gravity, where a four dimensional curvature scalar on the brane and a five dimensional Gauss-Bonnet term in the bulk are present. In this realization, the Gauss-Bonnet term and the mass parameter in the bulk play a crucial role. |
hep-th/0703214 | Kirill Saraikin | Kirill Saraikin and Cumrun Vafa | Non-supersymmetric Black Holes and Topological Strings | 47 pages, harvmac. v2: footnote(4) expanded, references added | Class.Quant.Grav.25:095007,2008 | 10.1088/0264-9381/25/9/095007 | Report-no HUTP-07/A0003, ITEP-TH-5/07 | hep-th | null | We study non-supersymmetric, extremal 4 dimensional black holes which arise
upon compactification of type II superstrings on Calabi-Yau threefolds. We
propose a generalization of the OSV conjecture for higher derivative
corrections to the non-supersymmetric black hole entropy, in terms of the one
parameter refinement of topological string introduced by Nekrasov. We also
study the attractor mechanism for non-supersymmetric black holes and show how
the inverse problem of fixing charges in terms of the attractor value of CY
moduli can be explicitly solved.
| [
{
"created": "Sun, 25 Mar 2007 05:58:40 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2007 16:11:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Saraikin",
"Kirill",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We study non-supersymmetric, extremal 4 dimensional black holes which arise upon compactification of type II superstrings on Calabi-Yau threefolds. We propose a generalization of the OSV conjecture for higher derivative corrections to the non-supersymmetric black hole entropy, in terms of the one parameter refinement of topological string introduced by Nekrasov. We also study the attractor mechanism for non-supersymmetric black holes and show how the inverse problem of fixing charges in terms of the attractor value of CY moduli can be explicitly solved. |
1208.1515 | Mikael von Strauss | S. F. Hassan, Angnis Schmidt-May, Mikael von Strauss | On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity | Latex, 31 pages | null | 10.1007/JHEP05(2013)086 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the issues that arise out of interpreting the ghost-free bimetric
theory as a theory of a spin-2 field coupled to gravity. This requires
identifying a gravitational metric and parameterizing deviations of the
resulting theory from general relativity. To this end, we first consider the
most general bimetric backgrounds for which a massless and a massive spin-2
fluctuation with Fierz-Pauli mass exist. These backgrounds coincide with
solutions in general relativity. Based on this, we obtain nonlinear extensions
of the massive and massless spin-2 fields. The background value of the
nonlinear massive field parameterizes generic deviations of the bimetric theory
from GR. It is also shown that the nonlinear massless field does not have
standard ghost-free matter couplings, and hence cannot represent the
gravitational metric. However, an appropriate gravitational metric can still be
identified in the weak gravity limit. Hence in the presence of other neutral
spin-2 fields, the weak gravity limit is crucial for compatibility with general
relativity. We also write down the action in terms of the nonlinear massive
spin-2 field and obtain its ghost-free couplings to matter. The discussion is
then generalized to multimetric theories.
| [
{
"created": "Tue, 7 Aug 2012 20:25:35 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2013 16:25:56 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Hassan",
"S. F.",
""
],
[
"Schmidt-May",
"Angnis",
""
],
[
"von Strauss",
"Mikael",
""
]
] | We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory from general relativity. To this end, we first consider the most general bimetric backgrounds for which a massless and a massive spin-2 fluctuation with Fierz-Pauli mass exist. These backgrounds coincide with solutions in general relativity. Based on this, we obtain nonlinear extensions of the massive and massless spin-2 fields. The background value of the nonlinear massive field parameterizes generic deviations of the bimetric theory from GR. It is also shown that the nonlinear massless field does not have standard ghost-free matter couplings, and hence cannot represent the gravitational metric. However, an appropriate gravitational metric can still be identified in the weak gravity limit. Hence in the presence of other neutral spin-2 fields, the weak gravity limit is crucial for compatibility with general relativity. We also write down the action in terms of the nonlinear massive spin-2 field and obtain its ghost-free couplings to matter. The discussion is then generalized to multimetric theories. |
1108.0220 | Huiquan Li | Huiquan Li | AdS segment and hidden conformal symmetry in general non-extremal black
holes | 19 pages, no figures | IJMPD Vol. 22, No. 6 (2013) 1350029 | 10.1142/S0218271813500296 | USTC-ICTS-11-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is demonstrated that the near-horizon geometry of general non-extremal
black holes can be described by a portion of AdS space. We show that the reason
why hidden conformal symmetries near horizons of general non-extremal black
holes are achieved in previous works is that the near-horizon geometries have
been equivalently taken as these AdS segments rather than simply the Rindler
space.
| [
{
"created": "Mon, 1 Aug 2011 02:17:21 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2011 11:20:09 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Apr 2012 13:42:47 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Jun 2013 08:57:06 GMT",
"version": "v4"
}
] | 2013-06-24 | [
[
"Li",
"Huiquan",
""
]
] | It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are achieved in previous works is that the near-horizon geometries have been equivalently taken as these AdS segments rather than simply the Rindler space. |
1007.2789 | David Vercauteren | D. Vercauteren and H. Verschelde | The asymmetry of the dimension 2 gluon condensate: the finite
temperature case | 8 pages, 4 figures | Phys.Rev.D82:085026,2010 | 10.1103/PhysRevD.82.085026 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we continue the work begun in a previous article. We compute,
in the formalism of local composite operators, the value of the asymmetry in
the dimension two condensate for finite temperatures. We find a positive value
for the asymmetry, which disappears when the temperature is increased. We also
compute the value of the full dimension two condensate for higher temperatures,
and we find that it decreases in absolute value, finally disappearing for
sufficiently high temperature. We also comment on the temperature dependence of
the electric and magnetic components of the condensate separately. We compare
our results with the corresponding lattice date found by Chernodub and
Ilgenfritz.
| [
{
"created": "Fri, 16 Jul 2010 15:10:10 GMT",
"version": "v1"
}
] | 2010-11-11 | [
[
"Vercauteren",
"D.",
""
],
[
"Verschelde",
"H.",
""
]
] | In this paper, we continue the work begun in a previous article. We compute, in the formalism of local composite operators, the value of the asymmetry in the dimension two condensate for finite temperatures. We find a positive value for the asymmetry, which disappears when the temperature is increased. We also compute the value of the full dimension two condensate for higher temperatures, and we find that it decreases in absolute value, finally disappearing for sufficiently high temperature. We also comment on the temperature dependence of the electric and magnetic components of the condensate separately. We compare our results with the corresponding lattice date found by Chernodub and Ilgenfritz. |
hep-th/0404145 | Miloslav Znojil | Miloslav Znojil | PT-symmetric regularizations in supersymmetric quantum mechanics | 17 pages, based on the talk during SUSY QM conference in Valladolid
in the summer in 2003, to appear in J. Phys. A: Math. Gen. (spec. issue) | J.Phys.A37:10209-10222,2004 | 10.1088/0305-4470/37/43/013 | null | hep-th | null | Supersymmetry offers one of the deepest insights in the concept of
solvability in quantum mechanics. This insight is, paradoxically, restricted by
one of the most serious formal drawbacks of the standard Witten's formulation
of supersymmetric quantum mechanics which lies in the Jevicki-Rodrigues'
postulate of absence of poles in superpotentials W(x) over all the real axis of
coordinates x. In our review we emphasize that this obstacle is artificial and
that it disappears immediately after a suitable (say, constant) shift of the
axis of x into complex plane. Detailed attention is paid to a close
relationship between this common trick and the recent not quite expected
increase of interest in non-Hermitian (a. k. a. PT-symmetric or
pseudo-Hermitian) Hamiltonians. We show that the resulting PT-SUSY
regularization recipe proves both easy and universal. An insight into its
mathematics is mediated by the complex harmonic oscillator with a
centrifugal-like spike. An exhaustive discussion of the role of the strength of
this spike is offered. In addition we recollect the possibility of a
re-formulation of the recipe in the second-order SUSY language. Finally we list
a few promising directions of applicability of our PT-SUSY regularization
prescription to a few more complicated nonrelativistic models (superintegrable
Hamiltonians of the Smorodinsky-Winternitz and of the Calogero-Sutherland type)
and to the relativistic Klein-Gordon equation (as well as to all of its
unphysical higher-order analogues).
| [
{
"created": "Tue, 20 Apr 2004 12:45:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Znojil",
"Miloslav",
""
]
] | Supersymmetry offers one of the deepest insights in the concept of solvability in quantum mechanics. This insight is, paradoxically, restricted by one of the most serious formal drawbacks of the standard Witten's formulation of supersymmetric quantum mechanics which lies in the Jevicki-Rodrigues' postulate of absence of poles in superpotentials W(x) over all the real axis of coordinates x. In our review we emphasize that this obstacle is artificial and that it disappears immediately after a suitable (say, constant) shift of the axis of x into complex plane. Detailed attention is paid to a close relationship between this common trick and the recent not quite expected increase of interest in non-Hermitian (a. k. a. PT-symmetric or pseudo-Hermitian) Hamiltonians. We show that the resulting PT-SUSY regularization recipe proves both easy and universal. An insight into its mathematics is mediated by the complex harmonic oscillator with a centrifugal-like spike. An exhaustive discussion of the role of the strength of this spike is offered. In addition we recollect the possibility of a re-formulation of the recipe in the second-order SUSY language. Finally we list a few promising directions of applicability of our PT-SUSY regularization prescription to a few more complicated nonrelativistic models (superintegrable Hamiltonians of the Smorodinsky-Winternitz and of the Calogero-Sutherland type) and to the relativistic Klein-Gordon equation (as well as to all of its unphysical higher-order analogues). |
1404.0806 | Enrique Alvarez | Enrique Alvarez, Mario Herrero-Valea, C.P. Mart\'in | Conformal and non Conformal Dilaton Gravity | LateX, 50 pages. Several points clarified; references added. New
section on Weyl invariant renormalisation added | null | 10.1007/JHEP10(2014)115 | IFT-UAM/CSIC-14-022, FTUAM-14-10, FTIUCM-17-2014 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum dynamics of the gravitational field non-minimally coupled to an
(also dynamical) scalar field is studied in the {\em broken phase}. For a
particular value of the coupling the system is classically conformal, and can
actually be understood as the group averaging of Einstein-Hilbert's action
under conformal transformations. Conformal invariance implies a simple Ward
identity asserting that the trace of the equation of motion for the graviton is
the equation of motion of the scalar field. We perform an explicit one-loop
computation to show that the DeWitt effective action is not UV divergent {\em
on shell} and to find that the Weyl symmetry Ward identity is preserved {\em on
shell} at that level. We also discuss the fate of this Ward identity at the
two-loop level --under the assumption that the two-loop UV divergent part of
the effective action can be retrieved from the Goroff-Sagnotti counterterm--
and show that its preservation in the renormalized theory requires the
introduction of counterterms which exhibit a logarithmic dependence on the
dilaton field.
| [
{
"created": "Thu, 3 Apr 2014 08:50:37 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jun 2014 10:40:11 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Aug 2014 08:55:05 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Sep 2014 10:46:37 GMT",
"version": "v4"
}
] | 2015-06-19 | [
[
"Alvarez",
"Enrique",
""
],
[
"Herrero-Valea",
"Mario",
""
],
[
"Martín",
"C. P.",
""
]
] | The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the {\em broken phase}. For a particular value of the coupling the system is classically conformal, and can actually be understood as the group averaging of Einstein-Hilbert's action under conformal transformations. Conformal invariance implies a simple Ward identity asserting that the trace of the equation of motion for the graviton is the equation of motion of the scalar field. We perform an explicit one-loop computation to show that the DeWitt effective action is not UV divergent {\em on shell} and to find that the Weyl symmetry Ward identity is preserved {\em on shell} at that level. We also discuss the fate of this Ward identity at the two-loop level --under the assumption that the two-loop UV divergent part of the effective action can be retrieved from the Goroff-Sagnotti counterterm-- and show that its preservation in the renormalized theory requires the introduction of counterterms which exhibit a logarithmic dependence on the dilaton field. |
0810.0028 | Benjamin Burrington | Benjamin A. Burrington and Leopoldo A. Pando Zayas | Coulomb Phase Gluon Scattering at Strong Coupling | 17+17 pages, 3 figures | JHEP 0906:029,2009 | 10.1088/1126-6708/2009/06/029 | MCTP-08063 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate corrections to gluon scattering amplitudes in a Coulomb phase
using gauge/string duality. The Coulomb phase considered is a maximal rank
breaking of $SU(n_1+n_2)\to SU(n_1)\times SU(n_2) \times U(1)$. This problem
therefore has 3 scales involved: 1) the scale of the massive fields $M_W$
arising from the spontaneous breaking of the gauge group; 2) The scale of the
scattering, characterized by the Mandelstam variables $s,t,u$; 3) The IR
regulator $m_{IR}$. We find corrections in the hard scattering limit $
|s|,|t|,|u|\gg m_{IR}^2 \gg M_W^2$, and also find below threshold corrections
with $M_W^2 \gg |s|,|t|,|u|$. We find that the corrections in the second case
are finite, and so are IR regulator independent.
| [
{
"created": "Wed, 1 Oct 2008 14:21:16 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 2009 20:21:22 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Burrington",
"Benjamin A.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | We calculate corrections to gluon scattering amplitudes in a Coulomb phase using gauge/string duality. The Coulomb phase considered is a maximal rank breaking of $SU(n_1+n_2)\to SU(n_1)\times SU(n_2) \times U(1)$. This problem therefore has 3 scales involved: 1) the scale of the massive fields $M_W$ arising from the spontaneous breaking of the gauge group; 2) The scale of the scattering, characterized by the Mandelstam variables $s,t,u$; 3) The IR regulator $m_{IR}$. We find corrections in the hard scattering limit $ |s|,|t|,|u|\gg m_{IR}^2 \gg M_W^2$, and also find below threshold corrections with $M_W^2 \gg |s|,|t|,|u|$. We find that the corrections in the second case are finite, and so are IR regulator independent. |
1504.00464 | Hyun Seok Yang | Hyun Seok Yang | Emergent Spacetime: Reality or Illusion? | 6 pages; Essay written for the Gravity Research Foundation 2015
Awards for Essays on Gravitation. arXiv admin note: substantial text overlap
with arXiv:1503.00712 | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The contemporary physics has revealed growing evidences that the emergence
can be applied to not only biology and condensed matter systems but also
gravity and spacetime. We observe that noncommutative spacetime necessarily
implies emergent spacetime if spacetime at microscopic scales should be viewed
as noncommutative. Since the emergent spacetime is a new fundamental paradigm
for quantum gravity, it is necessary to reexamine all the rationales to
introduce the multiverse hypothesis from the standpoint of emergent spacetime.
We argue that the emergent spacetime certainly opens a new perspective that may
cripple all the rationales to introduce the multiverse picture. Moreover the
emergent spacetime may rescue us from the doomsday of metastable multiverse as
quantum mechanics did from the catastrophic collapse of classical atoms.
| [
{
"created": "Thu, 2 Apr 2015 07:55:06 GMT",
"version": "v1"
}
] | 2015-04-03 | [
[
"Yang",
"Hyun Seok",
""
]
] | The contemporary physics has revealed growing evidences that the emergence can be applied to not only biology and condensed matter systems but also gravity and spacetime. We observe that noncommutative spacetime necessarily implies emergent spacetime if spacetime at microscopic scales should be viewed as noncommutative. Since the emergent spacetime is a new fundamental paradigm for quantum gravity, it is necessary to reexamine all the rationales to introduce the multiverse hypothesis from the standpoint of emergent spacetime. We argue that the emergent spacetime certainly opens a new perspective that may cripple all the rationales to introduce the multiverse picture. Moreover the emergent spacetime may rescue us from the doomsday of metastable multiverse as quantum mechanics did from the catastrophic collapse of classical atoms. |
1910.09019 | Fabio Scardigli | Alfredo Iorio, Gaetano Lambiase, Pablo Pais, and Fabio Scardigli | Generalized Uncertainty Principle in three-dimensional gravity and the
BTZ black hole | v2: 26 pages, 4 figures, accepted for publication in Phys.Rev.D | Phys. Rev. D 101, 105002 (2020) | 10.1103/PhysRevD.101.105002 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the structure of the gravity-induced Generalized Uncertainty
Principle in three dimensions. The subtleties of lower dimensional gravity, and
its important differences with respect to four and higher dimensions, are duly
taken into account, by considering different possible candidates for the
gravitational radius, $R_g$, that is the minimal length/maximal resolution of
the quantum mechanical localization process. We find that the event horizon of
the $M \neq 0$ Ba\~{n}ados-Teitelboim-Zanelli micro black hole furnishes the
most consistent $R_g$. This allows us to obtain a suitable formula for the
Generalized Uncertainty Principle in three dimensions, and also to estimate the
corrections induced by the latter on the Hawking temperature and Bekenstein
entropy. We also point to the extremal $M=0$ case, and its natural unit of
length introduced by the cosmological constant, $\ell = 1 / \sqrt{-\Lambda}$,
as a possible alternative to $R_g$, and present a condensed matter analog
realization of this scenario.
| [
{
"created": "Sun, 20 Oct 2019 16:47:39 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2020 15:57:10 GMT",
"version": "v2"
}
] | 2020-05-06 | [
[
"Iorio",
"Alfredo",
""
],
[
"Lambiase",
"Gaetano",
""
],
[
"Pais",
"Pablo",
""
],
[
"Scardigli",
"Fabio",
""
]
] | We investigate the structure of the gravity-induced Generalized Uncertainty Principle in three dimensions. The subtleties of lower dimensional gravity, and its important differences with respect to four and higher dimensions, are duly taken into account, by considering different possible candidates for the gravitational radius, $R_g$, that is the minimal length/maximal resolution of the quantum mechanical localization process. We find that the event horizon of the $M \neq 0$ Ba\~{n}ados-Teitelboim-Zanelli micro black hole furnishes the most consistent $R_g$. This allows us to obtain a suitable formula for the Generalized Uncertainty Principle in three dimensions, and also to estimate the corrections induced by the latter on the Hawking temperature and Bekenstein entropy. We also point to the extremal $M=0$ case, and its natural unit of length introduced by the cosmological constant, $\ell = 1 / \sqrt{-\Lambda}$, as a possible alternative to $R_g$, and present a condensed matter analog realization of this scenario. |
0905.2705 | Alexander Reshetnyak | A. Kuleshov, A.A. Reshetnyak | Programming Realization of Symbolic Computations for Non-linear
Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data
Structures and Processing Methods | 35 pages, 2 figures in eps-format, corrected typos, added references | null | null | null | hep-th cs.SC math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a programming realization of an algorithm for verifying a given
set of algebraic relations in the form of a supercommutator multiplication
table for the Verma module, which is constructed according to a generalized
Cartan procedure for a quadratic superalgebra and whose elements are realized
as a formal power series with respect to non-commuting elements. To this end,
we propose an algebraic procedure of Verma module construction and its
realization in terms of non-commuting creation and annihilation operators of a
given Heisenberg--Weyl superalgebra. In doing so, we set up a problem which
naturally arises within a Lagrangian description of higher-spin fields in
anti-de-Sitter (AdS) spaces: to verify the fact that the resulting Verma module
elements obey the given commutator multiplication for the original non-linear
superalgebra. The problem setting is based on a restricted principle of
mathematical induction, in powers of inverse squared radius of the AdS-space.
For a construction of an algorithm resolving this problem, we use a two-level
data model within the object-oriented approach, which is realized on a basis of
the programming language C#. The program allows one to consider objects (of a
less general nature than non-linear commutator superalgebras) that fall under
the class of so-called $GR$-algebras, for whose treatment one widely uses the
module \emph{Plural} of the system \emph{Singular} of symbolic computations for
polynomials.
| [
{
"created": "Sat, 16 May 2009 21:29:03 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2009 11:32:37 GMT",
"version": "v2"
}
] | 2009-08-26 | [
[
"Kuleshov",
"A.",
""
],
[
"Reshetnyak",
"A. A.",
""
]
] | We suggest a programming realization of an algorithm for verifying a given set of algebraic relations in the form of a supercommutator multiplication table for the Verma module, which is constructed according to a generalized Cartan procedure for a quadratic superalgebra and whose elements are realized as a formal power series with respect to non-commuting elements. To this end, we propose an algebraic procedure of Verma module construction and its realization in terms of non-commuting creation and annihilation operators of a given Heisenberg--Weyl superalgebra. In doing so, we set up a problem which naturally arises within a Lagrangian description of higher-spin fields in anti-de-Sitter (AdS) spaces: to verify the fact that the resulting Verma module elements obey the given commutator multiplication for the original non-linear superalgebra. The problem setting is based on a restricted principle of mathematical induction, in powers of inverse squared radius of the AdS-space. For a construction of an algorithm resolving this problem, we use a two-level data model within the object-oriented approach, which is realized on a basis of the programming language C#. The program allows one to consider objects (of a less general nature than non-linear commutator superalgebras) that fall under the class of so-called $GR$-algebras, for whose treatment one widely uses the module \emph{Plural} of the system \emph{Singular} of symbolic computations for polynomials. |
2211.14327 | Peter Weck | Ross Dempsey and Peter Weck | Compactifying the Kerr-Schild Double Copy | 20 pages | null | 10.1007/JHEP05(2023)198 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We show that the classical double copy relationship for Kerr-Schild
spacetimes can be dimensionally reduced to give a natural notion of the double
copy for Kaluza-Klein theory with gravity coupled to a gauge field and a
dilaton. Under dimensional reduction the Kerr-Schild (KS) ansatz becomes the
stringy Kerr-Schild (sKS) ansatz introduced by Wu. This ansatz captures many
Kaluza-Klein black hole solutions, including single-charge black holes arising
in both gauged and ungauged supergravity theories. We identify the single copy
gauge field and scalar field of an arbitrary sKS solution. We show that the
boost-reduction procedure for generating charged black hole solutions can be
generalized to any stationary KS seed, and used to combine the metric with the
zeroth and single copies of that seed into a single sKS solution. Furthermore,
we comment on multi-charge solutions that can be written in a multi-sKS form,
proposing a double copy interpretation involving multiple single copy sectors.
| [
{
"created": "Fri, 25 Nov 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2023 15:57:49 GMT",
"version": "v2"
}
] | 2023-06-14 | [
[
"Dempsey",
"Ross",
""
],
[
"Weck",
"Peter",
""
]
] | We show that the classical double copy relationship for Kerr-Schild spacetimes can be dimensionally reduced to give a natural notion of the double copy for Kaluza-Klein theory with gravity coupled to a gauge field and a dilaton. Under dimensional reduction the Kerr-Schild (KS) ansatz becomes the stringy Kerr-Schild (sKS) ansatz introduced by Wu. This ansatz captures many Kaluza-Klein black hole solutions, including single-charge black holes arising in both gauged and ungauged supergravity theories. We identify the single copy gauge field and scalar field of an arbitrary sKS solution. We show that the boost-reduction procedure for generating charged black hole solutions can be generalized to any stationary KS seed, and used to combine the metric with the zeroth and single copies of that seed into a single sKS solution. Furthermore, we comment on multi-charge solutions that can be written in a multi-sKS form, proposing a double copy interpretation involving multiple single copy sectors. |
1210.6261 | Daniel Jaramillo | A. N. Atehortua, D. E. Jaramillo, J. M. Mira, N. Vanegas | Non Linear Lorentz Transformation and Doubly Special Relativity | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generate non-linear representations of the Lorentz Group by unitary
transformation over the Lorentz generators. To do that we use deformed scale
transformations by introducing momentum-depending parameters. The momentum
operator transformation is found to be equivalent to a particle momentum
transformation. The configuration space transformation is found to depend on
the old momentum operator and we show that this transformation generates models
with two scales, one for the velocity ($c$) and another one for the energy. A
Lagrangian formalism is proposed for these models and an effective metric for
the deformed Minkowski space is found. We show that the Smolin model is one in
a family of doubly special relativity. Finally we construct an ansatz for the
quantization of such theories.
| [
{
"created": "Tue, 23 Oct 2012 15:05:11 GMT",
"version": "v1"
}
] | 2012-10-24 | [
[
"Atehortua",
"A. N.",
""
],
[
"Jaramillo",
"D. E.",
""
],
[
"Mira",
"J. M.",
""
],
[
"Vanegas",
"N.",
""
]
] | We generate non-linear representations of the Lorentz Group by unitary transformation over the Lorentz generators. To do that we use deformed scale transformations by introducing momentum-depending parameters. The momentum operator transformation is found to be equivalent to a particle momentum transformation. The configuration space transformation is found to depend on the old momentum operator and we show that this transformation generates models with two scales, one for the velocity ($c$) and another one for the energy. A Lagrangian formalism is proposed for these models and an effective metric for the deformed Minkowski space is found. We show that the Smolin model is one in a family of doubly special relativity. Finally we construct an ansatz for the quantization of such theories. |
2103.03735 | Olalla Castro Alvaredo | Olalla A. Castro-Alvaredo, Cecilia De Fazio, Benjamin Doyon and
Aleksandra A. Zi\'o{\l}kowska | Tails of Instability and Decay: a Hydrodynamic Perspective | 24 pages, 9 figures and 3 tables. In the revised version, the paper
format has changed from a letter to a longer paper which now included the
original supplementary material and a new discussion in section 5 | SciPost Phys. 12, 115 (2022) | 10.21468/SciPostPhys.12.3.115 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of quantum field theory (QFT), unstable particles are
associated with complex-valued poles of two-body scattering matrices in the
unphysical sheet of rapidity space. The Breit-Wigner formula relates this pole
to the mass and life-time of the particle, observed in scattering events. In
this paper, we uncover new, dynamical signatures of unstable excitations and
show that they have a strong effect on the non-equilibrium properties of QFT.
Focusing on a 1+1D integrable model, and using the theory of Generalized
Hydrodynamics, we study the formation and decay of unstable particles by
analysing the release of hot matter into a low-temperature environment. We
observe the formation of tails and the decay of the emitted nonlinear waves, in
sharp contrast to the situation without unstable excitations. We also uncover a
new phenomenon by which a wave of a stable population of unstable particles may
persist without decay for long times. We expect these signatures of the
presence of unstable particles to have a large degree of universality. Our
study shows that the out-of-equilibrium dynamics of many-body systems can be
strongly affected not only by the spectrum, but also by excitations with finite
life-times.
| [
{
"created": "Fri, 5 Mar 2021 15:09:14 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 2021 19:21:08 GMT",
"version": "v2"
}
] | 2022-04-07 | [
[
"Castro-Alvaredo",
"Olalla A.",
""
],
[
"De Fazio",
"Cecilia",
""
],
[
"Doyon",
"Benjamin",
""
],
[
"Ziółkowska",
"Aleksandra A.",
""
]
] | In the context of quantum field theory (QFT), unstable particles are associated with complex-valued poles of two-body scattering matrices in the unphysical sheet of rapidity space. The Breit-Wigner formula relates this pole to the mass and life-time of the particle, observed in scattering events. In this paper, we uncover new, dynamical signatures of unstable excitations and show that they have a strong effect on the non-equilibrium properties of QFT. Focusing on a 1+1D integrable model, and using the theory of Generalized Hydrodynamics, we study the formation and decay of unstable particles by analysing the release of hot matter into a low-temperature environment. We observe the formation of tails and the decay of the emitted nonlinear waves, in sharp contrast to the situation without unstable excitations. We also uncover a new phenomenon by which a wave of a stable population of unstable particles may persist without decay for long times. We expect these signatures of the presence of unstable particles to have a large degree of universality. Our study shows that the out-of-equilibrium dynamics of many-body systems can be strongly affected not only by the spectrum, but also by excitations with finite life-times. |
0902.0030 | David Shih | Zohar Komargodski and David Shih | Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models | 23 pages. v2: references added, minor changes. v3: comment on
non-renormalizable case added | JHEP 0904:093,2009 | 10.1088/1126-6708/2009/04/093 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study aspects of Wess-Zumino models related to SUSY and R-symmetry
breaking at tree-level. We present a recipe for constructing a wide class of
tree-level SUSY and R-breaking models. We also deduce a general property shared
by all tree-level SUSY breaking models that has broad application to model
building. In particular, it explains why many models of direct gauge mediation
have anomalously light gauginos (even if the R-symmetry is broken spontaneously
by an order one amount). This suggests new approaches to dynamical SUSY
breaking which can generate large enough gaugino masses.
| [
{
"created": "Mon, 2 Feb 2009 17:17:20 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 05:38:47 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Mar 2009 00:15:01 GMT",
"version": "v3"
}
] | 2009-05-01 | [
[
"Komargodski",
"Zohar",
""
],
[
"Shih",
"David",
""
]
] | We study aspects of Wess-Zumino models related to SUSY and R-symmetry breaking at tree-level. We present a recipe for constructing a wide class of tree-level SUSY and R-breaking models. We also deduce a general property shared by all tree-level SUSY breaking models that has broad application to model building. In particular, it explains why many models of direct gauge mediation have anomalously light gauginos (even if the R-symmetry is broken spontaneously by an order one amount). This suggests new approaches to dynamical SUSY breaking which can generate large enough gaugino masses. |
0905.0179 | Yun Soo Myung | Yun Soo Myung, Yong-Wan Kim | Thermodynamics of Ho\v{r}ava-Lifshitz black holes | 12 pages, 5 figures, v2:substantial improved version to make
connection to Lifshitz black holes and Reissner-Norstr\"om type black
holes,v3: version to appear in EPJC | Eur.Phys.J.C68:265-270,2010 | 10.1140/epjc/s10052-010-1319-1 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study black holes in the Ho\v{r}ava-Lifshitz gravity with a parameter
$\lambda$. For $1/3 \le \lambda < 3$, the black holes behave the Lifshitz black
holes with dynamical exponent $0 < z \le 4$, while for $\lambda > 3$, the black
holes behave the Reissner-Nordstr\"om type black hole in asymptotically flat
spacetimes. Hence, these all are quite different from the Schwarzschild-AdS
black hole of Einstein gravity. The temperature, mass, entropy, and heat
capacity are derived for investigating thermodynamic properties of these black
holes.
| [
{
"created": "Sat, 2 May 2009 06:37:46 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2009 05:34:39 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Apr 2010 00:43:52 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Myung",
"Yun Soo",
""
],
[
"Kim",
"Yong-Wan",
""
]
] | We study black holes in the Ho\v{r}ava-Lifshitz gravity with a parameter $\lambda$. For $1/3 \le \lambda < 3$, the black holes behave the Lifshitz black holes with dynamical exponent $0 < z \le 4$, while for $\lambda > 3$, the black holes behave the Reissner-Nordstr\"om type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild-AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes. |
hep-th/0201270 | Gabriel Lopes Cardoso | Gabriel Lopes Cardoso, Gianguido Dall'Agata, Dieter Lust | Curved BPS domain walls and RG flow in five dimensions | 18 pages, LaTeX, 5 figures; added references | JHEP 0203:044,2002 | 10.1088/1126-6708/2002/03/044 | HU-EP-02/04 | hep-th | null | We determine, in the context of five-dimensional ${\cal N}=2$ gauged
supergravity with vector and hypermultiplets, the conditions under which curved
(non Ricci flat) supersymmetric domain wall solutions may exist. These curved
BPS domain wall solutions may, in general, be supported by non-constant vector
and hyper scalar fields. We establish our results by a careful analysis of the
BPS equations as well as of the associated integrability conditions and the
equations of motion. We construct an example of a curved BPS solution in a
gauged supergravity model with one hypermultiplet. We also discuss the dual
description of curved BPS domain walls in terms of RG flows.
| [
{
"created": "Thu, 31 Jan 2002 17:30:31 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2002 18:15:58 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Lust",
"Dieter",
""
]
] | We determine, in the context of five-dimensional ${\cal N}=2$ gauged supergravity with vector and hypermultiplets, the conditions under which curved (non Ricci flat) supersymmetric domain wall solutions may exist. These curved BPS domain wall solutions may, in general, be supported by non-constant vector and hyper scalar fields. We establish our results by a careful analysis of the BPS equations as well as of the associated integrability conditions and the equations of motion. We construct an example of a curved BPS solution in a gauged supergravity model with one hypermultiplet. We also discuss the dual description of curved BPS domain walls in terms of RG flows. |
1902.07444 | Yoshinori Matsuo | Koji Hashimoto, Yoshinori Matsuo, Takeshi Morita | Nuclear states and spectra in holographic QCD | 65 pages; v2: 69 pages, discussions on the magic number are
clarified; v3: 75 pages, published version | null | 10.1007/JHEP12(2019)001 | OU-HET 999 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new method to study nuclear physics via holographic QCD is proposed.
Multiple baryons in the Sakai-Sugimoto background are described by a matrix
model which is a low energy effective theory of D-branes of the baryon
vertices. We study the quantum mechanics of the matrix model and calculate the
eigenstates of the Hamiltonian. The obtained states are found to coincide with
known nuclear and baryonic states, and have appropriate statistics and charges.
Calculated spectra of the baryon/nucleus for small baryon numbers show good
agreement with experimental data. For hyperons, the Gell-Mann--Okubo formula is
approximately derived. Baryon resonances up to spin $5/2$ and isospin $5/2$ and
dibaryon spectra are obtained and compared with experimental data. The model
partially explains even the magic numbers of light nuclei, $N=2,8$ and $20$.
| [
{
"created": "Wed, 20 Feb 2019 08:06:04 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2019 09:49:38 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jan 2020 15:18:28 GMT",
"version": "v3"
}
] | 2020-01-29 | [
[
"Hashimoto",
"Koji",
""
],
[
"Matsuo",
"Yoshinori",
""
],
[
"Morita",
"Takeshi",
""
]
] | A new method to study nuclear physics via holographic QCD is proposed. Multiple baryons in the Sakai-Sugimoto background are described by a matrix model which is a low energy effective theory of D-branes of the baryon vertices. We study the quantum mechanics of the matrix model and calculate the eigenstates of the Hamiltonian. The obtained states are found to coincide with known nuclear and baryonic states, and have appropriate statistics and charges. Calculated spectra of the baryon/nucleus for small baryon numbers show good agreement with experimental data. For hyperons, the Gell-Mann--Okubo formula is approximately derived. Baryon resonances up to spin $5/2$ and isospin $5/2$ and dibaryon spectra are obtained and compared with experimental data. The model partially explains even the magic numbers of light nuclei, $N=2,8$ and $20$. |
0706.3049 | Giovanni Villadoro | Giovanni Villadoro and Fabio Zwirner | Beyond Twisted Tori | 12 pages | Phys.Lett.B652:118-123,2007 | 10.1016/j.physletb.2007.07.002 | DFPD-07/TH/09 | hep-th | null | Exploiting the fact that Kaluza-Klein monopoles and the associated
generalized orbifold planes are sources for geometrical fluxes, omega, we show
that the standard constraint omega.omega=0, valid for superstring
compactifications on twisted tori, can be consistently relaxed. This leads to
novel possibilities for constructing superstring models with fluxes and
localized sources, as well as for stabilizing moduli. This also explains the
ten-dimensional origin of a family of N=4 gauged supergravities, whose
interpretation in type-IIA orientifold compactifications was lacking.
| [
{
"created": "Wed, 20 Jun 2007 21:36:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Villadoro",
"Giovanni",
""
],
[
"Zwirner",
"Fabio",
""
]
] | Exploiting the fact that Kaluza-Klein monopoles and the associated generalized orbifold planes are sources for geometrical fluxes, omega, we show that the standard constraint omega.omega=0, valid for superstring compactifications on twisted tori, can be consistently relaxed. This leads to novel possibilities for constructing superstring models with fluxes and localized sources, as well as for stabilizing moduli. This also explains the ten-dimensional origin of a family of N=4 gauged supergravities, whose interpretation in type-IIA orientifold compactifications was lacking. |
hep-th/9712099 | Klaus D. Rothe | Yong-Wan Kim and Klaus D. Rothe | Lagrangian approach to local symmetries and self-dual model in gauge
invariant formulation | LaTeX, 15 pages | Int.J.Mod.Phys. A13 (1998) 4183-4194 | 10.1142/S0217751X98001980 | HD-THEP-97-61 and SOGANG-HEP 227/97 | hep-th | null | Taking the St\"uckelberg Lagrangian associated with the abelian self-dual
model of P.K. Townsend et al as a starting point, we embed this mixed first-
and second-class system into a pure first-class system by following
systematically the generalized Hamiltonian approach of Batalin, Fradkin and
Tyutin. The resulting Lagrangian possesses an extended gauge invariance and
provides a non-trivial example for a general Lagrangian approach to unravelling
the full set of local symmetries of a Lagrangian.
| [
{
"created": "Tue, 9 Dec 1997 18:47:04 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kim",
"Yong-Wan",
""
],
[
"Rothe",
"Klaus D.",
""
]
] | Taking the St\"uckelberg Lagrangian associated with the abelian self-dual model of P.K. Townsend et al as a starting point, we embed this mixed first- and second-class system into a pure first-class system by following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin. The resulting Lagrangian possesses an extended gauge invariance and provides a non-trivial example for a general Lagrangian approach to unravelling the full set of local symmetries of a Lagrangian. |
1910.01138 | Pablo Pais | Fabrizio Canfora, David Dudal, Igor Justo, Pablo Pais, Luigi Rosa,
David Vercauteren | Gribov horizon, Polyakov loop and finite temperature | 16 pages, 5 Figures; contribution to the proceedings of the 12th
"Critical Point and Onset of Deconfinement Conference" (CPOD 2018), September
24 - 28, 2018, Corfu, Greece | PoS(CORFU2018)185 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider finite-temperature $SU(2)$ gauge theory in the continuum
formulation. Choosing the Landau gauge, the existing gauge copies are taken
into account by means of the Gribov-Zwanziger quantization scheme, which
entails the introduction of a dynamical mass scale (Gribov mass) directly
influencing the Green functions of the theory. Here, we determine
simultaneously the Polyakov loop (vacuum expectation value) and Gribov mass in
terms of temperature, by minimizing the vacuum energy with respect to the
Polyakov-loop parameter and solving the Gribov gap equation. The main result is
that the Gribov mass directly feels the deconfinement transition, visible from
a cusp occurring at the same temperature where the Polyakov loop becomes
nonzero. Finally, problems for the pressure at low temperatures are reported.
| [
{
"created": "Wed, 2 Oct 2019 18:00:15 GMT",
"version": "v1"
}
] | 2019-10-04 | [
[
"Canfora",
"Fabrizio",
""
],
[
"Dudal",
"David",
""
],
[
"Justo",
"Igor",
""
],
[
"Pais",
"Pablo",
""
],
[
"Rosa",
"Luigi",
""
],
[
"Vercauteren",
"David",
""
]
] | We consider finite-temperature $SU(2)$ gauge theory in the continuum formulation. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanziger quantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) directly influencing the Green functions of the theory. Here, we determine simultaneously the Polyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by minimizing the vacuum energy with respect to the Polyakov-loop parameter and solving the Gribov gap equation. The main result is that the Gribov mass directly feels the deconfinement transition, visible from a cusp occurring at the same temperature where the Polyakov loop becomes nonzero. Finally, problems for the pressure at low temperatures are reported. |
1106.2998 | Paul S. Aspinwall | Paul S. Aspinwall and M. Ronen Plesser | Elusive Worldsheet Instantons in Heterotic String Compactifications | 20 pages, LaTeX | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the spectrum of massless gauge singlets in some heterotic string
compactifications using Landau-Ginzburg, orbifold and non-linear sigma-model
methods. This probes the worldsheet instanton corrections to the quadratic
terms in the spacetime superpotential. Previous results predict that some of
these states remain massless when instanton effects are included. We find
vanishing masses in many cases not covered by these predictions. However, we
discover that in the case of the Z-manifold the corrections do not vanish.
Despite this, in all the examples studied, we find that the massless spectrum
in the orbifold limit agrees with the nonlinear sigma-model computation.
| [
{
"created": "Wed, 15 Jun 2011 15:33:34 GMT",
"version": "v1"
}
] | 2011-06-16 | [
[
"Aspinwall",
"Paul S.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] | We compute the spectrum of massless gauge singlets in some heterotic string compactifications using Landau-Ginzburg, orbifold and non-linear sigma-model methods. This probes the worldsheet instanton corrections to the quadratic terms in the spacetime superpotential. Previous results predict that some of these states remain massless when instanton effects are included. We find vanishing masses in many cases not covered by these predictions. However, we discover that in the case of the Z-manifold the corrections do not vanish. Despite this, in all the examples studied, we find that the massless spectrum in the orbifold limit agrees with the nonlinear sigma-model computation. |
hep-th/9309055 | Christian Schubert | M.G. Schmidt and C. Schubert | On the Calculation of Effective Actions by String Methods | 12 pages, Plain TEX, HD-THEP-93-24 | Phys.Lett. B318 (1993) 438-446 | 10.1016/0370-2693(93)91537-W | null | hep-th | null | Strassler's formulation of the string-derived Bern-Kosower formalism is
reconsidered with particular emphasis on effective actions and form factors.
Two- and three point form factors in the nonabelian effective action are
calculated and compared with those obtained in the heat kernel approach of
Barvinsky, Vilkovisky et al. We discuss the Fock-Schwinger gauge and propose a
manifestly covariant calculational scheme for one-loop effective actions in
gauge theory.
| [
{
"created": "Thu, 9 Sep 1993 21:25:47 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Schmidt",
"M. G.",
""
],
[
"Schubert",
"C.",
""
]
] | Strassler's formulation of the string-derived Bern-Kosower formalism is reconsidered with particular emphasis on effective actions and form factors. Two- and three point form factors in the nonabelian effective action are calculated and compared with those obtained in the heat kernel approach of Barvinsky, Vilkovisky et al. We discuss the Fock-Schwinger gauge and propose a manifestly covariant calculational scheme for one-loop effective actions in gauge theory. |
2404.10128 | Julio Oliva | Mariano Chernicoff, Gaston Giribet, Javier Moreno, Julio Oliva, Raul
Rojas, Cielo Ramirez de Arellano Torres | Higher-curvature gravity in AdS$_3$, holographic $c$-theorems and black
hole microstates | 22 pages. V2: minor changes and references added. To appear in
Physical Review D | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We construct higher-derivative gravity theories in three dimensions that
admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum,
at arbitrary order $n$ in the curvature. We show that these theories exhibit
special properties, the most salient ones being the decoupling of ghost modes
around Anti-de Sitter (AdS) space, the enhancement of symmetries at linearized
level, and the existence of a one-parameter generalization of the
Ba\~nados-Teitelboim-Zanelli (BTZ) black hole that, while being asymptotically
AdS, is not of constant curvature but rather exhibits a curvature singularity.
For such black holes, we provide a holographic derivation of their
thermodynamics. This gives a microscopic picture of black hole thermodynamics
for non-supersymmetric solutions, of non-constant curvature in
higher-derivative theories of arbitrary order in the curvature.
| [
{
"created": "Mon, 15 Apr 2024 20:30:38 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jun 2024 00:19:39 GMT",
"version": "v2"
}
] | 2024-07-02 | [
[
"Chernicoff",
"Mariano",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Moreno",
"Javier",
""
],
[
"Oliva",
"Julio",
""
],
[
"Rojas",
"Raul",
""
],
[
"Torres",
"Cielo Ramirez de Arellano",
""
]
] | We construct higher-derivative gravity theories in three dimensions that admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order $n$ in the curvature. We show that these theories exhibit special properties, the most salient ones being the decoupling of ghost modes around Anti-de Sitter (AdS) space, the enhancement of symmetries at linearized level, and the existence of a one-parameter generalization of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole that, while being asymptotically AdS, is not of constant curvature but rather exhibits a curvature singularity. For such black holes, we provide a holographic derivation of their thermodynamics. This gives a microscopic picture of black hole thermodynamics for non-supersymmetric solutions, of non-constant curvature in higher-derivative theories of arbitrary order in the curvature. |
hep-th/0301099 | Adi Armoni | Adi Armoni, Esperanza Lopez, Angel M. Uranga | Closed Strings Tachyons and Non-Commutative Instabilities | 27 pages, Latex. v2: Comment about anomalies and refs. added. Version
published in JHEP. v3: minor changes | JHEP 0302:020,2003 | 10.1088/1126-6708/2003/02/020 | CERN-TH/2002-386, IFT UAM-CSIC/02-58, FT-UAM-02/33 | hep-th | null | We observe a relation between closed strings tachyons and one-loop
instabilities in non-supersymmetric non-commutative gauge theories. In
particular we analyze the spectra of type IIB string theory on C^3/Z_N orbifold
singularities and the non-commutative field theory that lives on D3 branes
located at the singularity. We find a surprising correspondence between the
existence or not of one-loop low-momentum instabilities in the non-commutative
field theory and the existence or not of tachyons in the closed string twisted
sectors. Moreover, the relevant piece of the non-commutative field theory
effective action is suggestive of an exchange of closed string modes. This
suggests that non-commutative field theories retain some information about the
dynamics of the underlying string configuration. Finally, we also comment on a
possible relation between closed string tachyon condensation and field theory
tachyon condensation.
| [
{
"created": "Wed, 15 Jan 2003 13:32:49 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2003 14:30:20 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Sep 2003 13:27:58 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Armoni",
"Adi",
""
],
[
"Lopez",
"Esperanza",
""
],
[
"Uranga",
"Angel M.",
""
]
] | We observe a relation between closed strings tachyons and one-loop instabilities in non-supersymmetric non-commutative gauge theories. In particular we analyze the spectra of type IIB string theory on C^3/Z_N orbifold singularities and the non-commutative field theory that lives on D3 branes located at the singularity. We find a surprising correspondence between the existence or not of one-loop low-momentum instabilities in the non-commutative field theory and the existence or not of tachyons in the closed string twisted sectors. Moreover, the relevant piece of the non-commutative field theory effective action is suggestive of an exchange of closed string modes. This suggests that non-commutative field theories retain some information about the dynamics of the underlying string configuration. Finally, we also comment on a possible relation between closed string tachyon condensation and field theory tachyon condensation. |
hep-th/9308047 | Tatsuo Kobayashi | Tatsuo Kobayashi | Differential Calculi on h-deformed Bosonic and Fermionic Quantum Planes | 11 pages, KANAZAWA-93-07, LaTeX file | Mod.Phys.Lett.A8:3741-3748,1993 | 10.1142/S0217732393003470 | null | hep-th | null | We study differential calculus on h-deformed bosonic and fermionic quantum
space. It is shown that the fermionic quantum space involves a parafermionic
variable as well as a classical fermionic one. Further we construct the
classical $su(2)$ algebra on the fermionic quantum space and discuss a mapping
between the classical $su(2)$ and the h-deformed $su(2)$ algebras.
| [
{
"created": "Tue, 10 Aug 1993 07:43:39 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Kobayashi",
"Tatsuo",
""
]
] | We study differential calculus on h-deformed bosonic and fermionic quantum space. It is shown that the fermionic quantum space involves a parafermionic variable as well as a classical fermionic one. Further we construct the classical $su(2)$ algebra on the fermionic quantum space and discuss a mapping between the classical $su(2)$ and the h-deformed $su(2)$ algebras. |
hep-th/0407086 | Subir Ghosh | Subir Ghosh (Indian Statistical Institute) | Noncommutativity in Maxwell-Chern-Simons-Matter Theory Simulates Pauli
Magnetic Coupling | Revised version, Title changed, No changes in maths. part and
conclusions, To appear in Mod.Phys.Lett. A | Mod.Phys.Lett.A20:1227-1238,2005 | 10.1142/S0217732305017494 | null | hep-th quant-ph | null | We study interactions between like charges in the noncommutative
Maxwell-Chern-Simons electrodynamics {\it{minimally}} coupled to spinors or
scalars. We demonstrate that the non-relativistic potential profiles, for only
spatial noncommutativity, are nearly identical to the ones generated by a
{\it{non-minimal}} Pauli magnetic coupling, originally introduced by Stern
\cite{js}. Although the Pauli term has crucial roles in the context of
physically relevant objects such as anyons and like-charge bound states (or
"Cooper pairs"), its inception \cite{js} (see also \cite{others}) was ad-hoc
and phenomenological in nature. On the other hand we recover similar results by
extending the minimal model to the noncommutative plane, which has developed in
to an important generalization to ordinary spacetime in recent years. No
additional input is needed besides the noncommutativity parameter.
We prove a novel result that for complex scalar matter sector, the bound
states (or "Cooper pairs" can be generated {\it{only}} if the
Maxwell-Chern-Simons-scalar theory is embedded in noncommutative spacetime.
This is all the more interesting since the Chern-Simons term does not directly
contribute a noncommutative correction term in the action.
| [
{
"created": "Mon, 12 Jul 2004 12:28:15 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jul 2004 10:08:17 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Apr 2005 06:46:10 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Ghosh",
"Subir",
"",
"Indian Statistical Institute"
]
] | We study interactions between like charges in the noncommutative Maxwell-Chern-Simons electrodynamics {\it{minimally}} coupled to spinors or scalars. We demonstrate that the non-relativistic potential profiles, for only spatial noncommutativity, are nearly identical to the ones generated by a {\it{non-minimal}} Pauli magnetic coupling, originally introduced by Stern \cite{js}. Although the Pauli term has crucial roles in the context of physically relevant objects such as anyons and like-charge bound states (or "Cooper pairs"), its inception \cite{js} (see also \cite{others}) was ad-hoc and phenomenological in nature. On the other hand we recover similar results by extending the minimal model to the noncommutative plane, which has developed in to an important generalization to ordinary spacetime in recent years. No additional input is needed besides the noncommutativity parameter. We prove a novel result that for complex scalar matter sector, the bound states (or "Cooper pairs" can be generated {\it{only}} if the Maxwell-Chern-Simons-scalar theory is embedded in noncommutative spacetime. This is all the more interesting since the Chern-Simons term does not directly contribute a noncommutative correction term in the action. |
hep-th/0206200 | null | Ernesto Lozano-Tellechea, Patrick Meessen and Tomas Ortin | On d=4,5,6 Vacua with 8 Supercharges | Latex2e, 19 pages, 1 figure. v2: typos corrected, refs. added. v3:
very minor corrections, more refs. added, version to be published in
Classical and Quantum Gravity | Class.Quant.Grav. 19 (2002) 5921-5934 | 10.1088/0264-9381/19/23/303 | null | hep-th | null | We show how all known N=2, d=4,5,6 maximally supersymmetric vacua (Hpp-waves
and aDSxS solutions) are related through dimensional reduction/oxidation
preserving all the unbroken supersymmetries. In particular we show how the N=2,
d=5 family of vacua (which are the near-horizon geometry of supersymmetric
rotating black holes) interpolates between aDS_2xS^3 and aDS_3xS^2 in parameter
space and how it can be dimensionally reduced to an N=2, d=4 dyonic
Robinson-Bertotti solution with geometry aDS_2xS^2 and oxidized to an N=2, d=6
solution with aDS_3xS^3 geometry (which is the near-horizon of the self-dual
string).
| [
{
"created": "Fri, 21 Jun 2002 14:15:29 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2002 13:49:39 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Oct 2002 15:01:45 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Lozano-Tellechea",
"Ernesto",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
]
] | We show how all known N=2, d=4,5,6 maximally supersymmetric vacua (Hpp-waves and aDSxS solutions) are related through dimensional reduction/oxidation preserving all the unbroken supersymmetries. In particular we show how the N=2, d=5 family of vacua (which are the near-horizon geometry of supersymmetric rotating black holes) interpolates between aDS_2xS^3 and aDS_3xS^2 in parameter space and how it can be dimensionally reduced to an N=2, d=4 dyonic Robinson-Bertotti solution with geometry aDS_2xS^2 and oxidized to an N=2, d=6 solution with aDS_3xS^3 geometry (which is the near-horizon of the self-dual string). |
hep-th/9906086 | Jan B. Thomassen | Jan B. Thomassen | Chiral Poincare transformations and their anomalies | 10 pages, LaTeX, revised version | null | null | IK-TUW 9906401 | hep-th hep-ph | null | I consider global transformations of a Dirac fermion field, that are
generated by the generators of Poincar'e transformations, but with a \gamma_5
appended. Such chiral translations and chiral Lorentz transformations are
usually not symmetries of the Lagrangian, but naively they are symmetries of
the fermionic measure. However, by using proper time regularization in
Minkowski space, I find that they in general give rise to a nontrivial
Jacobian. In this sense they have "anomalies". I calculate these anomalies in a
theory of a massive fermion coupled to an external Abelian vector field. My
motivation for considering chiral Poincar'e transformations is the possibility
that they are relevant to bosonization in four dimensions.
| [
{
"created": "Fri, 11 Jun 1999 18:01:05 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 1999 17:21:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Thomassen",
"Jan B.",
""
]
] | I consider global transformations of a Dirac fermion field, that are generated by the generators of Poincar'e transformations, but with a \gamma_5 appended. Such chiral translations and chiral Lorentz transformations are usually not symmetries of the Lagrangian, but naively they are symmetries of the fermionic measure. However, by using proper time regularization in Minkowski space, I find that they in general give rise to a nontrivial Jacobian. In this sense they have "anomalies". I calculate these anomalies in a theory of a massive fermion coupled to an external Abelian vector field. My motivation for considering chiral Poincar'e transformations is the possibility that they are relevant to bosonization in four dimensions. |
0802.0313 | Damien James Martin | Jamison Galloway, Damien Martin and David Stancato | Comments on "Gauge Fields and Unparticles" | 7 pages, comment on arXiv:0801.0892; references added | null | null | null | hep-th hep-ph | null | The derivation of Feynman rules for unparticles carrying standard model
quantum numbers is discussed. In particular, this note demonstrates that an
application of Mandelstam's approach to constructing a gauge-invariant action
reproduces for unparticles the vertices one obtains through the usual minimal
coupling scheme; other non-trivial requirements are satisfied as well. This
approach is compared to an alternative method 0801.0892 that has recently been
constructed by A. L. Licht.
| [
{
"created": "Sun, 3 Feb 2008 23:33:04 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Feb 2008 00:26:25 GMT",
"version": "v2"
}
] | 2008-03-02 | [
[
"Galloway",
"Jamison",
""
],
[
"Martin",
"Damien",
""
],
[
"Stancato",
"David",
""
]
] | The derivation of Feynman rules for unparticles carrying standard model quantum numbers is discussed. In particular, this note demonstrates that an application of Mandelstam's approach to constructing a gauge-invariant action reproduces for unparticles the vertices one obtains through the usual minimal coupling scheme; other non-trivial requirements are satisfied as well. This approach is compared to an alternative method 0801.0892 that has recently been constructed by A. L. Licht. |
0706.3127 | Karim Benakli | Karim Benakli and Cesar Moura | Brane-Worlds Pseudo-Goldstinos | 50 pages with 1 figure. Dedicated to M. Quiros for his 60th birthday.
Refs added and typos corrected. Version to appear in Nuclear Physics B. One
ref added | Nucl.Phys.B791:125-163,2008 | 10.1016/j.nuclphysb.2007.09.010 | null | hep-th hep-ph | null | We consider a space-time with extra dimensions containing sectors, branes and
bulk, that communicate only through gravitational interactions. In each sector,
if considered separately, supersymmetry could be spontaneously broken, leading
to the appearance of Goldstinos. However, when taken all together, only certain
combinations of the latter states turn out to be true ``would be Goldstinos'',
eaten by the gravitinos. The other (orthogonal) combinations, we call
pseudo-Goldstinos, remain in the low energy spectrum. We discuss explicitly how
this happen in the simplest set-up of five-dimensional space compactified on
S^1/Z_2 . Our results divide into two parts that can be considered separately.
First, we build an extension of the bulk five-dimensional supergravity, by a
set of new auxiliary fields, that allows coupling it to branes where
supersymmetry is spontaneously broken. Second, we discuss in details the super
Higgs mechanism in the R_\xi and unitary gauges, in the presence of both of a
bulk Scherk-Schwarz mechanism and brane localized F-terms. This leads us to
compute the gravitino mass and provide explicit formulae for the
pseudo-Goldstinos spectrum.
| [
{
"created": "Thu, 21 Jun 2007 11:44:39 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2007 12:30:21 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Oct 2007 12:20:24 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jan 2008 13:36:35 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Benakli",
"Karim",
""
],
[
"Moura",
"Cesar",
""
]
] | We consider a space-time with extra dimensions containing sectors, branes and bulk, that communicate only through gravitational interactions. In each sector, if considered separately, supersymmetry could be spontaneously broken, leading to the appearance of Goldstinos. However, when taken all together, only certain combinations of the latter states turn out to be true ``would be Goldstinos'', eaten by the gravitinos. The other (orthogonal) combinations, we call pseudo-Goldstinos, remain in the low energy spectrum. We discuss explicitly how this happen in the simplest set-up of five-dimensional space compactified on S^1/Z_2 . Our results divide into two parts that can be considered separately. First, we build an extension of the bulk five-dimensional supergravity, by a set of new auxiliary fields, that allows coupling it to branes where supersymmetry is spontaneously broken. Second, we discuss in details the super Higgs mechanism in the R_\xi and unitary gauges, in the presence of both of a bulk Scherk-Schwarz mechanism and brane localized F-terms. This leads us to compute the gravitino mass and provide explicit formulae for the pseudo-Goldstinos spectrum. |
hep-th/0311029 | Ram Brustein | Ram Brustein, Amos Yarom | Thermodynamics and area in Minkowski space: Heat capacity of
entanglement | 17 pages | Phys.Rev. D69 (2004) 064013 | 10.1103/PhysRevD.69.064013 | null | hep-th gr-qc | null | Tracing over the degrees of freedom inside (or outside) a sub-volume V of
Minkowski space in a given quantum state |psi>, results in a statistical
ensemble described by a density matrix rho. This enables one to relate quantum
fluctuations in V when in the state |psi>, to statistical fluctuations in the
ensemble described by rho. These fluctuations scale linearly with the surface
area of V. If V is half of space, then rho is the density matrix of a canonical
ensemble in Rindler space. This enables us to `derive' area scaling of
thermodynamic quantities in Rindler space from area scaling of quantum
fluctuations in half of Minkowski space. When considering shapes other than
half of Minkowski space, even though area scaling persists, rho does not have
an interpretation as a density matrix of a canonical ensemble in a curved, or
geometrically non-trivial, background.
| [
{
"created": "Tue, 4 Nov 2003 21:30:16 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Brustein",
"Ram",
""
],
[
"Yarom",
"Amos",
""
]
] | Tracing over the degrees of freedom inside (or outside) a sub-volume V of Minkowski space in a given quantum state |psi>, results in a statistical ensemble described by a density matrix rho. This enables one to relate quantum fluctuations in V when in the state |psi>, to statistical fluctuations in the ensemble described by rho. These fluctuations scale linearly with the surface area of V. If V is half of space, then rho is the density matrix of a canonical ensemble in Rindler space. This enables us to `derive' area scaling of thermodynamic quantities in Rindler space from area scaling of quantum fluctuations in half of Minkowski space. When considering shapes other than half of Minkowski space, even though area scaling persists, rho does not have an interpretation as a density matrix of a canonical ensemble in a curved, or geometrically non-trivial, background. |
hep-th/0311137 | Ali Imaanpur | Ali Imaanpur | Comments on Gluino Condensates in N=1/2 SYM Theory | 11 pages, 4 figures, small changes, added a reference | JHEP 0312 (2003) 009 | 10.1088/1126-6708/2003/12/009 | IPM/P-2003/075 | hep-th | null | Using Ward identities of N=1/2 supersymmetric Yang-Mills theory, we show that
while the partition function and antichiral gluino condensates remain invariant
under the $C$ deformation, chiral gluino correlators can get contributions from
all gauge fields with instanton numbers $k\leq 1$. In particular, a Ward
identity of the $U(1)_R$ symmetry allows us to determine the explicit
dependence of chiral gluino correlators on the deformation parameter.
| [
{
"created": "Mon, 17 Nov 2003 14:25:03 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 2003 12:22:34 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Imaanpur",
"Ali",
""
]
] | Using Ward identities of N=1/2 supersymmetric Yang-Mills theory, we show that while the partition function and antichiral gluino condensates remain invariant under the $C$ deformation, chiral gluino correlators can get contributions from all gauge fields with instanton numbers $k\leq 1$. In particular, a Ward identity of the $U(1)_R$ symmetry allows us to determine the explicit dependence of chiral gluino correlators on the deformation parameter. |
1801.08772 | Bojan Nikoli\'c | Bojan Nikoli\'c and Danijel Obri\'c | Noncommutativity and nonassociativity of closed bosonic string on T-dual
toroidal backgrounds | null | Fortschritte der Physik (2018) 1800009 | 10.1002/prop.201800009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we consider closed bosonic string in the presence of constant
metric and Kalb-Ramond field with one non-zero component, $B_{xy}=Hz$, where
field strength $H$ is infinitesimal. Using Buscher T-duality procedure we
dualize along $x$ and $y$ directions and using generalized T-duality procedure
along $z$ direction imposing trivial winding conditions. After first two
T-dualizations we obtain $Q$ flux theory which is just locally well defined,
while after all three T-dualizations we obtain nonlocal $R$ flux theory. Origin
of non-locality is variable $\Delta V$ defined as line integral, which appears
as an argument of the background fields. Rewriting T-dual transformation laws
in the canonical form and using standard Poisson algebra, we obtained that $Q$
flux theory is commutative one and the $R$ flux theory is noncommutative and
nonassociative one. Consequently, there is a correlation between non-locality
and closed string noncommutativity and nonassociativity.
| [
{
"created": "Fri, 26 Jan 2018 11:58:45 GMT",
"version": "v1"
}
] | 2024-01-24 | [
[
"Nikolić",
"Bojan",
""
],
[
"Obrić",
"Danijel",
""
]
] | In this article we consider closed bosonic string in the presence of constant metric and Kalb-Ramond field with one non-zero component, $B_{xy}=Hz$, where field strength $H$ is infinitesimal. Using Buscher T-duality procedure we dualize along $x$ and $y$ directions and using generalized T-duality procedure along $z$ direction imposing trivial winding conditions. After first two T-dualizations we obtain $Q$ flux theory which is just locally well defined, while after all three T-dualizations we obtain nonlocal $R$ flux theory. Origin of non-locality is variable $\Delta V$ defined as line integral, which appears as an argument of the background fields. Rewriting T-dual transformation laws in the canonical form and using standard Poisson algebra, we obtained that $Q$ flux theory is commutative one and the $R$ flux theory is noncommutative and nonassociative one. Consequently, there is a correlation between non-locality and closed string noncommutativity and nonassociativity. |
hep-th/9401112 | Shahn Majid | Shahn Majid | q-Euclidean space and quantum group wick rotation by twisting | 16 pages | J.Math.Phys. 35 (1994) 5025-5034 | 10.1063/1.530828 | damtp/94-04 | hep-th math.QA | null | We study the quantum matrix algebra $R_{21}x_1x_2=x_2x_1 R$ and for the
standard $2\times 2$ case propose it for the co-ordinates of $q$-deformed
Euclidean space. The algebra in this simplest case is isomorphic to the usual
quantum matrices $M_q(2)$ but in a form which is naturally covariant under the
Euclidean rotations $SU_q(2)\otimes SU_q(2)$. We also introduce a quantum Wick
rotation that twists this system precisely into the approach to $q$-Minkowski
space based on braided-matrices and their associated spinorial $q$-Lorentz
group.
| [
{
"created": "Sun, 23 Jan 1994 21:46:16 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Majid",
"Shahn",
""
]
] | We study the quantum matrix algebra $R_{21}x_1x_2=x_2x_1 R$ and for the standard $2\times 2$ case propose it for the co-ordinates of $q$-deformed Euclidean space. The algebra in this simplest case is isomorphic to the usual quantum matrices $M_q(2)$ but in a form which is naturally covariant under the Euclidean rotations $SU_q(2)\otimes SU_q(2)$. We also introduce a quantum Wick rotation that twists this system precisely into the approach to $q$-Minkowski space based on braided-matrices and their associated spinorial $q$-Lorentz group. |
0812.1213 | Ori J. Ganor | Ori J. Ganor and Yoon Pyo Hong | Selfduality and Chern-Simons Theory | 60 pages, references added | null | null | UCB-PTH-08/71 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a relation between the operator of S-duality (of N=4 super
Yang-Mills theory in 3+1D) and a topological theory in one dimension lower. We
construct the topological theory by compactifying N=4 super Yang-Mills on a
circle with an S-duality and R-symmetry twist. The S-duality twist requires a
selfdual coupling constant. We argue that for a sufficiently low rank of the
gauge group the three-dimensional low-energy description is a topological
theory, which we conjecture to be a pure Chern-Simons theory. This conjecture
implies a connection between the action of mirror symmetry on the sigma-model
with Hitchin's moduli space as target space and geometric quantization of the
moduli space of flat connections on a Riemann surface.
| [
{
"created": "Fri, 5 Dec 2008 20:28:29 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Dec 2008 19:23:38 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Dec 2008 20:29:06 GMT",
"version": "v3"
}
] | 2008-12-21 | [
[
"Ganor",
"Ori J.",
""
],
[
"Hong",
"Yoon Pyo",
""
]
] | We propose a relation between the operator of S-duality (of N=4 super Yang-Mills theory in 3+1D) and a topological theory in one dimension lower. We construct the topological theory by compactifying N=4 super Yang-Mills on a circle with an S-duality and R-symmetry twist. The S-duality twist requires a selfdual coupling constant. We argue that for a sufficiently low rank of the gauge group the three-dimensional low-energy description is a topological theory, which we conjecture to be a pure Chern-Simons theory. This conjecture implies a connection between the action of mirror symmetry on the sigma-model with Hitchin's moduli space as target space and geometric quantization of the moduli space of flat connections on a Riemann surface. |
1911.02604 | Keshav Dasgupta | Keshav Dasgupta, Maxim Emelin, Mir Mehedi Faruk, Radu Tatar | How a four-dimensional de Sitter solution remains outside the swampland | 30 pages, 4 figures; v2: Typos corrected and references added; v3:
Typos corrected and more references added | JHEP 07 (2021) 109 | 10.1007/JHEP07(2021)109 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that, in the presence of time-dependent fluxes and quantum
corrections, four-dimensional de Sitter solutions should appear in the type IIB
string landscape and not in the swampland. Our construction considers generic
choices of local and non-local quantum terms and satisfies the no-go and the
swampland criteria, the latter being recently upgraded using the
trans-Planckian cosmic censorship. Interestingly, both time-independent Newton
constant and moduli stabilization may be achieved in such backgrounds even in
the presence of time-dependent fluxes and internal spaces. However, once the
time-dependence is switched off, any four-dimensional solution with de Sitter
isometries appears to have no simple effective field theory descriptions and is
back in the swampland.
| [
{
"created": "Wed, 6 Nov 2019 19:43:36 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Nov 2019 02:59:54 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Dec 2019 00:36:10 GMT",
"version": "v3"
}
] | 2021-08-06 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Emelin",
"Maxim",
""
],
[
"Faruk",
"Mir Mehedi",
""
],
[
"Tatar",
"Radu",
""
]
] | We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland. Our construction considers generic choices of local and non-local quantum terms and satisfies the no-go and the swampland criteria, the latter being recently upgraded using the trans-Planckian cosmic censorship. Interestingly, both time-independent Newton constant and moduli stabilization may be achieved in such backgrounds even in the presence of time-dependent fluxes and internal spaces. However, once the time-dependence is switched off, any four-dimensional solution with de Sitter isometries appears to have no simple effective field theory descriptions and is back in the swampland. |
2404.14518 | Tom\'a\v{s} Brauner | Tomas Brauner | Effective Field Theory for Spontaneously Broken Symmetry | 400 pages; preprint of an open-access book published by Springer
Cham. Comments are welcome, no citation requests please | Lecture Notes in Physics, volume 1023 (2024) | 10.1007/978-3-031-48378-3 | null | hep-th cond-mat.quant-gas hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a preprint of an open-access book published by Springer Cham. The
book gives an up-to-date overview of the physics of spontaneously broken
continuous symmetry from the point of view of effective field theory. Upon
building up the necessary foundations, the text reviews the classification of
Nambu-Goldstone bosons and then focuses on the construction of the
effective-field-theoretic description of their dynamics. Both internal and
spacetime broken symmetries are covered, including numerous illustrative
examples and a few selected applications, worked out in greater detail.
| [
{
"created": "Mon, 22 Apr 2024 18:36:08 GMT",
"version": "v1"
}
] | 2024-04-24 | [
[
"Brauner",
"Tomas",
""
]
] | This is a preprint of an open-access book published by Springer Cham. The book gives an up-to-date overview of the physics of spontaneously broken continuous symmetry from the point of view of effective field theory. Upon building up the necessary foundations, the text reviews the classification of Nambu-Goldstone bosons and then focuses on the construction of the effective-field-theoretic description of their dynamics. Both internal and spacetime broken symmetries are covered, including numerous illustrative examples and a few selected applications, worked out in greater detail. |
1512.03404 | Nicholas Agia | Nicholas Agia | Low-Lying Cosmic String Spectrum and Background Fields in Effective
String Theory | 25 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a detailed analysis of the cosmic string spectrum. Explicit
solutions are numerically found using Mathematica and presented here for the
lowest-lying supported modes. Most of the emphasis is on the Nambu-Goldstone
modes and the least massive excitation, the latter of which is shown to be the
scalar breather mode. We address the possibility of pseudoscalar excitations by
adding suitable interactions to the string and show that it is possible to have
a least massive pseudoscalar bound state with only bosonic fields. We finally
show how certain interactions in the bulk UV theory give rise to background
field interactions in the effective string theory.
| [
{
"created": "Thu, 10 Dec 2015 20:30:50 GMT",
"version": "v1"
}
] | 2015-12-11 | [
[
"Agia",
"Nicholas",
""
]
] | We present a detailed analysis of the cosmic string spectrum. Explicit solutions are numerically found using Mathematica and presented here for the lowest-lying supported modes. Most of the emphasis is on the Nambu-Goldstone modes and the least massive excitation, the latter of which is shown to be the scalar breather mode. We address the possibility of pseudoscalar excitations by adding suitable interactions to the string and show that it is possible to have a least massive pseudoscalar bound state with only bosonic fields. We finally show how certain interactions in the bulk UV theory give rise to background field interactions in the effective string theory. |
2408.04001 | Toshali Mitra | Toshali Mitra, Sukrut Mondkar, Ayan Mukhopadhyay and Alexander
Soloviev | Holographic Gubser flow: A combined analytic and numerical study | 59 pages, 16 figures | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Gubser flow is an evolution with cylindrical and boost symmetries, which can
be best studied by mapping the future wedge of Minkowski space (R$^{3,1}$) to
dS$_3$ $\times$ $\mathbb{R}$ in a conformal relativistic theory. Here, we
sharpen our previous analytic results and validate them via the first numerical
exploration of the Gubser flow in a holographic conformal field theory.
Remarkably, the leading generic behavior at large de Sitter time is
free-streaming in transverse directions and the sub-leading behavior is that of
a color glass condensate. We also show that Gubser flow can be smoothly glued
to the vacuum outside the future Minkowski wedge generically given that the
energy density vanishes faster than any power when extrapolated to early proper
time or to large distances from the central axis. We find that at intermediate
times the ratio of both the transverse and longitudinal pressures to the energy
density converge approximately to a fixed point which is hydrodynamic only for
large initial energy densities. We argue that our results suggest that the
Gubser flow is better applied to collective behavior in jets rather than the
full medium in the phenomenology of heavy ion collisions and can reveal new
clues to the mechanism of confinement.
| [
{
"created": "Wed, 7 Aug 2024 18:00:03 GMT",
"version": "v1"
}
] | 2024-08-09 | [
[
"Mitra",
"Toshali",
""
],
[
"Mondkar",
"Sukrut",
""
],
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Soloviev",
"Alexander",
""
]
] | Gubser flow is an evolution with cylindrical and boost symmetries, which can be best studied by mapping the future wedge of Minkowski space (R$^{3,1}$) to dS$_3$ $\times$ $\mathbb{R}$ in a conformal relativistic theory. Here, we sharpen our previous analytic results and validate them via the first numerical exploration of the Gubser flow in a holographic conformal field theory. Remarkably, the leading generic behavior at large de Sitter time is free-streaming in transverse directions and the sub-leading behavior is that of a color glass condensate. We also show that Gubser flow can be smoothly glued to the vacuum outside the future Minkowski wedge generically given that the energy density vanishes faster than any power when extrapolated to early proper time or to large distances from the central axis. We find that at intermediate times the ratio of both the transverse and longitudinal pressures to the energy density converge approximately to a fixed point which is hydrodynamic only for large initial energy densities. We argue that our results suggest that the Gubser flow is better applied to collective behavior in jets rather than the full medium in the phenomenology of heavy ion collisions and can reveal new clues to the mechanism of confinement. |
0901.3695 | Cyril Closset | Cyril Closset | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) | Based on lectures given at the Modave Summer School in Mathematical
Physics 2008. 35 pages. v2: Added references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lecture notes are an introduction to toric geometry. Particular focus
is put on the description of toric local Calabi-Yau varieties, such as needed
in applications to the AdS/CFT correspondence in string theory. The point of
view taken in these lectures is mostly algebro-geometric but no prior knowledge
of algebraic geometry is assumed. After introducing the necessary mathematical
definitions, we discuss the construction of toric varieties as holomorphic
quotients. We discuss the resolution and deformation of toric Calabi-Yau
singularities. We also explain the gauged linear sigma-model (GLSM) Kahler
quotient construction.
| [
{
"created": "Fri, 23 Jan 2009 15:14:00 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2009 09:58:19 GMT",
"version": "v2"
}
] | 2009-05-08 | [
[
"Closset",
"Cyril",
""
]
] | These lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior knowledge of algebraic geometry is assumed. After introducing the necessary mathematical definitions, we discuss the construction of toric varieties as holomorphic quotients. We discuss the resolution and deformation of toric Calabi-Yau singularities. We also explain the gauged linear sigma-model (GLSM) Kahler quotient construction. |
hep-th/9405136 | Jens Schnittger | Jean-Loup Gervais and Jens Schnittger | Continous Spins in 2D Gravity: Chiral Vertex Operators and Local Fields | 36 pages, LaTex, LPTENS 93/40 | Nucl.Phys. B431 (1994) 273-314 | 10.1016/0550-3213(94)90107-4 | null | hep-th | null | We construct the exponentials of the Liouville field with continuous powers
within the operator approach. Their chiral decomposition is realized using the
explicit Coulomb-gas operators we introduced earlier. {}From the quantum-group
viewpoint, they are related to semi-infinite highest or lowest weight
representations with continuous spins. The Liouville field itself is defined,
and the canonical commutation relations verified, as well as the validity of
the quantum Liouville field equations.
In a second part, both screening charges are considered. The braiding of the
chiral components is derived and shown to agree with the ansatz of a parallel
paper of J.-L. G. and Roussel: for continuous spins the quantum group structure
$U_q(sl(2)) \odot U_{\qhat}(sl(2))$ is a non trivial extension of $U_q(sl(2))$
and $U_{\qhat}(sl(2))$. We construct the corresponding generalized exponentials
and the generalized Liouville field.
| [
{
"created": "Fri, 20 May 1994 19:02:26 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gervais",
"Jean-Loup",
""
],
[
"Schnittger",
"Jens",
""
]
] | We construct the exponentials of the Liouville field with continuous powers within the operator approach. Their chiral decomposition is realized using the explicit Coulomb-gas operators we introduced earlier. {}From the quantum-group viewpoint, they are related to semi-infinite highest or lowest weight representations with continuous spins. The Liouville field itself is defined, and the canonical commutation relations verified, as well as the validity of the quantum Liouville field equations. In a second part, both screening charges are considered. The braiding of the chiral components is derived and shown to agree with the ansatz of a parallel paper of J.-L. G. and Roussel: for continuous spins the quantum group structure $U_q(sl(2)) \odot U_{\qhat}(sl(2))$ is a non trivial extension of $U_q(sl(2))$ and $U_{\qhat}(sl(2))$. We construct the corresponding generalized exponentials and the generalized Liouville field. |
1005.4075 | Juan Jottar | Mohammad Edalati, Juan I. Jottar and Robert G. Leigh | Holography and the sound of criticality | 36 pages, 15 figures, PDFLaTeX; v2, corrected typos and figure
captions | JHEP 1010:058,2010 | 10.1007/JHEP10(2010)058 | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using gauge/gravity duality techniques, we discuss the sound-channel retarded
correlators of vector and tensor conserved currents in a class of
$(2+1)$-dimensional strongly-coupled field theories at zero temperature and
finite charge density, assumed to be holographically dual to the extremal
Reissner-Nordstr\"{o}m AdS$_4$ black hole. Using a combination of analytical
and numerical methods, we determine the quasinormal mode spectrum at finite
momentum for the coupled gravitational and electromagnetic perturbations, and
discuss the appropriate choice of gauge-invariant variables (master fields) in
order for the black hole quasinormal frequencies to reproduce the field theory
spectrum. We discuss the role of the near horizon AdS$_{2}$ geometry in
determining the low-frequency behavior of retarded correlators in the boundary
theory, and comment on the emergence of criticality in the IR. In addition, we
establish the existence of a sound mode at zero temperature and compute the
speed of sound and sound attenuation constant numerically, obtaining a result
consistent with the expectations from the zero temperature limit of
hydrodynamics. The dispersion relation of higher resonances is also
investigated.
| [
{
"created": "Fri, 21 May 2010 20:52:51 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2010 05:33:03 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Edalati",
"Mohammad",
""
],
[
"Jottar",
"Juan I.",
""
],
[
"Leigh",
"Robert G.",
""
]
] | Using gauge/gravity duality techniques, we discuss the sound-channel retarded correlators of vector and tensor conserved currents in a class of $(2+1)$-dimensional strongly-coupled field theories at zero temperature and finite charge density, assumed to be holographically dual to the extremal Reissner-Nordstr\"{o}m AdS$_4$ black hole. Using a combination of analytical and numerical methods, we determine the quasinormal mode spectrum at finite momentum for the coupled gravitational and electromagnetic perturbations, and discuss the appropriate choice of gauge-invariant variables (master fields) in order for the black hole quasinormal frequencies to reproduce the field theory spectrum. We discuss the role of the near horizon AdS$_{2}$ geometry in determining the low-frequency behavior of retarded correlators in the boundary theory, and comment on the emergence of criticality in the IR. In addition, we establish the existence of a sound mode at zero temperature and compute the speed of sound and sound attenuation constant numerically, obtaining a result consistent with the expectations from the zero temperature limit of hydrodynamics. The dispersion relation of higher resonances is also investigated. |
hep-th/0403072 | Korotkin Dmitry | B.Eynard, A.Kokotov, D.Korotkin | Genus one contribution to free energy in hermitian two-matrix model | 25 pages, detailed version of hep-th/0401166 | Nucl.Phys. B694 (2004) 443-472 | 10.1016/j.nuclphysb.2004.06.031 | null | hep-th | null | We compute an the genus 1 correction to free energy of Hermitian two-matrix
model in terms of theta-functions associated to spectral curve arising in large
N limit. We discuss the relationship of this expression to isomonodromic
tau-function, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius
manifolds and determinant of Laplacian in a singular metric over spectral
curve.
| [
{
"created": "Fri, 5 Mar 2004 22:41:53 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Eynard",
"B.",
""
],
[
"Kokotov",
"A.",
""
],
[
"Korotkin",
"D.",
""
]
] | We compute an the genus 1 correction to free energy of Hermitian two-matrix model in terms of theta-functions associated to spectral curve arising in large N limit. We discuss the relationship of this expression to isomonodromic tau-function, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian in a singular metric over spectral curve. |
1604.08027 | David Broadhurst | David J. Broadhurst | Massless scalar Feynman diagrams: five loops and beyond | report of The Open University, Milton Keynes, England (UK), 1985,
copy provided by John Gracey, http://cds.cern.ch/record/164890, LaTeX
reproduction by Erik Panzer | null | null | OUT-4102-18 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several powerful techniques for evaluating massless scalar Feynman diagrams
are developed, viz: the solution of recurrence relations to evaluate diagrams
with arbitrary numbers of loops in $n=4-2\omega$ dimensions; the discovery and
use of symmetry properties to restrict and compute Taylor series in $\omega$;
the reduction of triple sums over Chebyshev polynomials to products of Riemann
zeta functions; the exploitation of conformal invariance to avoid
four-dimensional Racah coefficients. As an example of the power of these
techniques we evaluate all of the 216 diagrams, with 5 loops or less, which
give finite contributions of order $1/k^2$ or $1/k^4$ to a propagator of
momentum $k$ in massless four-dimensional scalar field theories. Remarkably,
only 5 basic numbers are encountered: $\zeta(3)$, $\zeta(5)$, $\zeta(7)$,
$\zeta(9)$ and the value of the most symmetrical diagram, which is calculated
to 14 significant figures. It is conceivable that these are the only
irrationals appearing in 6-loop beta functions. En route to these results we
uncover and only partially explain many remarkable relations between diagrams.
| [
{
"created": "Wed, 27 Apr 2016 11:58:08 GMT",
"version": "v1"
}
] | 2016-04-28 | [
[
"Broadhurst",
"David J.",
""
]
] | Several powerful techniques for evaluating massless scalar Feynman diagrams are developed, viz: the solution of recurrence relations to evaluate diagrams with arbitrary numbers of loops in $n=4-2\omega$ dimensions; the discovery and use of symmetry properties to restrict and compute Taylor series in $\omega$; the reduction of triple sums over Chebyshev polynomials to products of Riemann zeta functions; the exploitation of conformal invariance to avoid four-dimensional Racah coefficients. As an example of the power of these techniques we evaluate all of the 216 diagrams, with 5 loops or less, which give finite contributions of order $1/k^2$ or $1/k^4$ to a propagator of momentum $k$ in massless four-dimensional scalar field theories. Remarkably, only 5 basic numbers are encountered: $\zeta(3)$, $\zeta(5)$, $\zeta(7)$, $\zeta(9)$ and the value of the most symmetrical diagram, which is calculated to 14 significant figures. It is conceivable that these are the only irrationals appearing in 6-loop beta functions. En route to these results we uncover and only partially explain many remarkable relations between diagrams. |
2205.01655 | Dimitrios Kosmopoulos | Zvi Bern, Enrico Herrmann, Dimitrios Kosmopoulos, and Radu Roiban | Effective Field Theory Islands from Perturbative and Nonperturbative
Four-Graviton Amplitudes | 26 pages, 6 figures, 11 ancillary files | null | 10.1007/JHEP01(2023)113 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Theoretical data obtained from physically sensible field and string theory
models suggest that gravitational Effective Field Theories (EFTs) live on
islands that are tiny compared to current general bounds determined from
unitarity, causality, crossing symmetry, and a good high-energy behavior. In
this work, we present explicit perturbative and nonperturbative $2 \to 2$
graviton scattering amplitudes and their associated low-energy expansion in
spacetime dimensions $D\geq 4$ to support this notion. Our new results include
a first nonperturbative example consisting of a $D=4$, $\mathcal{N}=1$
supersymmetric field theory that is coupled weakly to gravity. We show that
this nonperturbative model lies on the same islands identified using
four-dimensional perturbative models based on string theory and
minimally-coupled matter circulating a loop. Furthermore, we generalize the
previous four-dimensional perturbative models based on string theory and
minimally-coupled massive spin-0 and spin-1 states circulating in the loop to
$D$ dimensions. Remarkably, we again find that the low-energy EFT coefficients
lie on small islands. These results offer a useful guide towards constraining
possible extensions of Einstein gravity.
| [
{
"created": "Tue, 3 May 2022 17:37:10 GMT",
"version": "v1"
}
] | 2023-02-08 | [
[
"Bern",
"Zvi",
""
],
[
"Herrmann",
"Enrico",
""
],
[
"Kosmopoulos",
"Dimitrios",
""
],
[
"Roiban",
"Radu",
""
]
] | Theoretical data obtained from physically sensible field and string theory models suggest that gravitational Effective Field Theories (EFTs) live on islands that are tiny compared to current general bounds determined from unitarity, causality, crossing symmetry, and a good high-energy behavior. In this work, we present explicit perturbative and nonperturbative $2 \to 2$ graviton scattering amplitudes and their associated low-energy expansion in spacetime dimensions $D\geq 4$ to support this notion. Our new results include a first nonperturbative example consisting of a $D=4$, $\mathcal{N}=1$ supersymmetric field theory that is coupled weakly to gravity. We show that this nonperturbative model lies on the same islands identified using four-dimensional perturbative models based on string theory and minimally-coupled matter circulating a loop. Furthermore, we generalize the previous four-dimensional perturbative models based on string theory and minimally-coupled massive spin-0 and spin-1 states circulating in the loop to $D$ dimensions. Remarkably, we again find that the low-energy EFT coefficients lie on small islands. These results offer a useful guide towards constraining possible extensions of Einstein gravity. |
hep-th/0406081 | Alexandra de Castro | A. De Castro and A. Restuccia | On The Super Five Brane Hamiltonian | 7 pages, REVTeX 4 | Rev.Mex.Fis. 49S3 (2003) 95-97 | null | null | hep-th | null | The explicit form of the Wess-Zumino term of the PST super 5-brane Lagrangian
in 11 dimensions is obtained. A complete canonical analysis for a gauge fixed
PST super 5-brane action reveals the expected mixture of first and second class
constraints. The canonical Hamiltonian is quadratic in the antisymmetric gauge
field. Finally, we find the light cone gauge Hamiltonian for the theory and its
stability properties are commented.
| [
{
"created": "Wed, 9 Jun 2004 17:50:57 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 2004 20:44:36 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"De Castro",
"A.",
""
],
[
"Restuccia",
"A.",
""
]
] | The explicit form of the Wess-Zumino term of the PST super 5-brane Lagrangian in 11 dimensions is obtained. A complete canonical analysis for a gauge fixed PST super 5-brane action reveals the expected mixture of first and second class constraints. The canonical Hamiltonian is quadratic in the antisymmetric gauge field. Finally, we find the light cone gauge Hamiltonian for the theory and its stability properties are commented. |
hep-th/9808113 | Gerard 't Hooft | Gerard 't Hooft | Counting planar diagrams with various restrictions | 24 pages TeX, 16 figures Postscript | Nucl.Phys. B538 (1999) 389-410 | 10.1016/S0550-3213(98)00697-X | THU-98/31 | hep-th | null | Explicit expressions are considered for the generating functions concerning
the number of planar diagrams with given numbers of 3- and 4-point vertices. It
is observed that planar renormalization theory requires diagrams with
restrictions, in the sense that one wishes to omit `tadpole' inserions and
`seagull' insertions; at a later stage also self-energy insertions are to be
removed, and finally also the dressed 3-point inserions and the dressed 4-point
insertions. Diagrams with such restrictions can all be counted exactly. This
results in various critical lines in the $\lambda$-$g$ plane, where $\lambda$
and $g$ are effective zero-dimensional coupling constants. These lines can be
localized exactly.
| [
{
"created": "Wed, 19 Aug 1998 13:10:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hooft",
"Gerard 't",
""
]
] | Explicit expressions are considered for the generating functions concerning the number of planar diagrams with given numbers of 3- and 4-point vertices. It is observed that planar renormalization theory requires diagrams with restrictions, in the sense that one wishes to omit `tadpole' inserions and `seagull' insertions; at a later stage also self-energy insertions are to be removed, and finally also the dressed 3-point inserions and the dressed 4-point insertions. Diagrams with such restrictions can all be counted exactly. This results in various critical lines in the $\lambda$-$g$ plane, where $\lambda$ and $g$ are effective zero-dimensional coupling constants. These lines can be localized exactly. |
1111.1577 | Fotis Farakos | Fotis Farakos (Natl. Tech. U., Athens), Alex Kehagias (Natl. Tech. U.,
Athens), Emmanuel N. Saridakis (Natl. Tech. U., Athens and Baylor U.) | Vanishing Cosmological Constant by Gravitino-Dressed Compactification of
11D Supergravity | 17 pages, no figures | null | 10.1007/JHEP12(2011)107 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider compactifications induced by the gravitino field of eleven
dimensional supergravity. Such compactifications are not trivial in the sense
that the gravitino profiles are not related to pure bosonic ones by means of a
supersymmetry transformation. The basic property of such backgrounds is that
they admit $\psi$-torsion although they have vanishing Riemann tensor. Thus,
these backgrounds may be considered also as solutions of the teleparallel
formulation of supergravity. We construct two classes of solutions, one with
both antisymmetric three-form field, gravity and gravitino and one with only
gravity and gravitino. In these classes of solutions, the internal space is a
parallelized compact manifold, so that it does not inherit any cosmological
constant to the external spacetime. The latter turns out to be flat Minkowski
in the maximally symmetric case. The elimination of the cosmological constant
in the spontaneously compactified supergravity seems to be a generic property
based on the trading of the cosmological constant for parallelizing torsion.
| [
{
"created": "Mon, 7 Nov 2011 13:42:29 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Farakos",
"Fotis",
"",
"Natl. Tech. U., Athens"
],
[
"Kehagias",
"Alex",
"",
"Natl. Tech. U.,\n Athens"
],
[
"Saridakis",
"Emmanuel N.",
"",
"Natl. Tech. U., Athens and Baylor U."
]
] | We consider compactifications induced by the gravitino field of eleven dimensional supergravity. Such compactifications are not trivial in the sense that the gravitino profiles are not related to pure bosonic ones by means of a supersymmetry transformation. The basic property of such backgrounds is that they admit $\psi$-torsion although they have vanishing Riemann tensor. Thus, these backgrounds may be considered also as solutions of the teleparallel formulation of supergravity. We construct two classes of solutions, one with both antisymmetric three-form field, gravity and gravitino and one with only gravity and gravitino. In these classes of solutions, the internal space is a parallelized compact manifold, so that it does not inherit any cosmological constant to the external spacetime. The latter turns out to be flat Minkowski in the maximally symmetric case. The elimination of the cosmological constant in the spontaneously compactified supergravity seems to be a generic property based on the trading of the cosmological constant for parallelizing torsion. |
1205.1060 | Edgar Shaghoulian | Dionysios Anninos, Tarek Anous, Frederik Denef, George Konstantinidis
and Edgar Shaghoulian | Supergoop Dynamics | 35 pages,11 figures. v2: updated references to include a previous
proof of classical integrability, exchanged a figure for a prettier version | null | 10.1007/JHEP03(2013)081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate a systematic study of the dynamics of multi-particle systems with
supersymmetric Van der Waals and electron-monopole type interactions. The
static interaction allows a complex continuum of ground state configurations,
while the Lorentz interaction tends to counteract this configurational fluidity
by magnetic trapping, thus producing an exotic low temperature phase of matter
aptly named supergoop. Such systems arise naturally in $\mathcal{N}=2$ gauge
theories as monopole-dyon mixtures, and in string theory as collections of
particles or black holes obtained by wrapping D-branes on internal space
cycles. After discussing the general system and its relation to quiver quantum
mechanics, we focus on the case of three particles. We give an exhaustive
enumeration of the classical and quantum ground states of a probe in an
arbitrary background with two fixed centers. We uncover a hidden conserved
charge and show that the dynamics of the probe is classically integrable. In
contrast, the dynamics of one heavy and two light particles moving on a line
shows a nontrivial transition to chaos, which we exhibit by studying the
Poincar\'e sections. Finally we explore the complex dynamics of a probe
particle in a background with a large number of centers, observing hints of
ergodicity breaking. We conclude by discussing possible implications in a
holographic context.
| [
{
"created": "Fri, 4 May 2012 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2012 04:26:47 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Anninos",
"Dionysios",
""
],
[
"Anous",
"Tarek",
""
],
[
"Denef",
"Frederik",
""
],
[
"Konstantinidis",
"George",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] | We initiate a systematic study of the dynamics of multi-particle systems with supersymmetric Van der Waals and electron-monopole type interactions. The static interaction allows a complex continuum of ground state configurations, while the Lorentz interaction tends to counteract this configurational fluidity by magnetic trapping, thus producing an exotic low temperature phase of matter aptly named supergoop. Such systems arise naturally in $\mathcal{N}=2$ gauge theories as monopole-dyon mixtures, and in string theory as collections of particles or black holes obtained by wrapping D-branes on internal space cycles. After discussing the general system and its relation to quiver quantum mechanics, we focus on the case of three particles. We give an exhaustive enumeration of the classical and quantum ground states of a probe in an arbitrary background with two fixed centers. We uncover a hidden conserved charge and show that the dynamics of the probe is classically integrable. In contrast, the dynamics of one heavy and two light particles moving on a line shows a nontrivial transition to chaos, which we exhibit by studying the Poincar\'e sections. Finally we explore the complex dynamics of a probe particle in a background with a large number of centers, observing hints of ergodicity breaking. We conclude by discussing possible implications in a holographic context. |
2010.08205 | George Zahariade | Maulik Parikh, Frank Wilczek, George Zahariade | Quantum Mechanics of Gravitational Waves | 5 pages + 3 pages of supplemental material, 2 figures | Phys. Rev. Lett. 127, 081602 (2021) | 10.1103/PhysRevLett.127.081602 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the purpose of analyzing observed phenomena, it has been convenient, and
thus far sufficient, to regard gravity as subject to the deterministic
principles of classical physics, with the gravitational field obeying Newton's
law or Einstein's equations. Here we treat the gravitational field as a quantum
field and determine the implications of such treatment for experimental
observables. We find that falling bodies in gravity are subject to random
fluctuations ("noise") whose characteristics depend on the quantum state of the
gravitational field. We derive a stochastic equation for the separation of two
falling particles. Detection of this fundamental noise, which may be measurable
at gravitational wave detectors, would vindicate the quantization of gravity,
and reveal important properties of its sources.
| [
{
"created": "Fri, 16 Oct 2020 07:29:17 GMT",
"version": "v1"
}
] | 2021-08-25 | [
[
"Parikh",
"Maulik",
""
],
[
"Wilczek",
"Frank",
""
],
[
"Zahariade",
"George",
""
]
] | For the purpose of analyzing observed phenomena, it has been convenient, and thus far sufficient, to regard gravity as subject to the deterministic principles of classical physics, with the gravitational field obeying Newton's law or Einstein's equations. Here we treat the gravitational field as a quantum field and determine the implications of such treatment for experimental observables. We find that falling bodies in gravity are subject to random fluctuations ("noise") whose characteristics depend on the quantum state of the gravitational field. We derive a stochastic equation for the separation of two falling particles. Detection of this fundamental noise, which may be measurable at gravitational wave detectors, would vindicate the quantization of gravity, and reveal important properties of its sources. |
1909.02472 | Doron Gepner R | Vladimir Belavin, Doron Gepner, Jian--Rong Li and Ran Tessler | The 4--CB Algebra and Solvable Lattice Models | 51 pages, 2 figures | null | 10.1007/JHEP11(2019)155 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the algebras underlying solvable lattice models of the type fusion
interaction round the face (IRF). We propose that the algebras are universal,
depending only on the number of blocks, which is the degree of polynomial
equation obeyed by the Boltzmann weights. Using the Yang--Baxter equation and
the ansatz for the Baxterization of the models, we show that the three blocks
models obey a version of Birman--Murakami--Wenzl (BMW) algebra. For four
blocks, we conjecture that the algebra is the BMW algebra with a different
skein relation, along with one additional relation, and we provide evidence for
this conjecture. We connect these algebras to knot theory by conjecturing new
link invariants. The link invariants, in the case of four blocks, depend on
three arbitrary parameters. We check our result for $G_2$ model with the seven
dimensional representation and for $SU(2)$ with the isospin $3/2$
representation, which are both four blocks theories.
| [
{
"created": "Thu, 5 Sep 2019 15:08:11 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Belavin",
"Vladimir",
""
],
[
"Gepner",
"Doron",
""
],
[
"Li",
"Jian--Rong",
""
],
[
"Tessler",
"Ran",
""
]
] | We study the algebras underlying solvable lattice models of the type fusion interaction round the face (IRF). We propose that the algebras are universal, depending only on the number of blocks, which is the degree of polynomial equation obeyed by the Boltzmann weights. Using the Yang--Baxter equation and the ansatz for the Baxterization of the models, we show that the three blocks models obey a version of Birman--Murakami--Wenzl (BMW) algebra. For four blocks, we conjecture that the algebra is the BMW algebra with a different skein relation, along with one additional relation, and we provide evidence for this conjecture. We connect these algebras to knot theory by conjecturing new link invariants. The link invariants, in the case of four blocks, depend on three arbitrary parameters. We check our result for $G_2$ model with the seven dimensional representation and for $SU(2)$ with the isospin $3/2$ representation, which are both four blocks theories. |
1104.4473 | Diederik Roest | Francesco Aprile, Diederik Roest and Jorge G. Russo | Holographic Superconductors from Gauged Supergravity | 25 pages, 10 figures. v3: typo corrected in eq. (2.18) | null | 10.1007/JHEP06(2011)040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider minimal setups arising from different truncations of N=8
five-dimensional SO(6) gauged supergravity to study phase transitions involving
spontaneous breaking of any of the U(1) symmetries in U(1)xU(1)xU(1)in SO(6).
These truncations only keep the three relevant vector fields, four complex
scalar fields carrying U(1) charges, plus two neutral scalar fields required by
consistency. By considering thermal ensembles with different fixed U(1) charge
densities and solving the complete equations including the full back-reaction,
in some cases we find instabilities towards the formation of hairy black holes,
which lead to second order transitions, resulting from a thermodynamical
competition between different sectors. We argue that these should be the
dominant thermodynamical instabilities in the full ten-dimensional type IIB
theory. In other cases we find unstable branches of hairy black holes that
extend to temperatures above a critical temperature (`retrograde
condensation'). The results can be used as a first step to understand new
aspects of the phase diagram of large N, N=4 SU(N) super Yang-Mills theory with
fixed charge densities.
| [
{
"created": "Fri, 22 Apr 2011 16:29:21 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2011 07:18:14 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2011 19:38:56 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Aprile",
"Francesco",
""
],
[
"Roest",
"Diederik",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We consider minimal setups arising from different truncations of N=8 five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1)xU(1)xU(1)in SO(6). These truncations only keep the three relevant vector fields, four complex scalar fields carrying U(1) charges, plus two neutral scalar fields required by consistency. By considering thermal ensembles with different fixed U(1) charge densities and solving the complete equations including the full back-reaction, in some cases we find instabilities towards the formation of hairy black holes, which lead to second order transitions, resulting from a thermodynamical competition between different sectors. We argue that these should be the dominant thermodynamical instabilities in the full ten-dimensional type IIB theory. In other cases we find unstable branches of hairy black holes that extend to temperatures above a critical temperature (`retrograde condensation'). The results can be used as a first step to understand new aspects of the phase diagram of large N, N=4 SU(N) super Yang-Mills theory with fixed charge densities. |
hep-th/0403170 | Omid Saremi | Omid Saremi and Amanda W. Peet | Brane-antibrane systems and the thermal life of neutral black holes | 30 pages LaTeX, 2 figures | Phys.Rev. D70 (2004) 026008 | 10.1103/PhysRevD.70.026008 | null | hep-th gr-qc | null | A brane-antibrane model for the entropy of neutral black branes is developed,
following on from the work of Danielsson, Guijosa and Kruczenski [1]. The model
involves equal numbers of Dp-branes and anti-Dp-branes, and arbitrary angular
momenta, and covers the cases p=0,1,2,3,4. The thermodynamic entropy is
reproduced by the strongly coupled field theory, up to a power of two. The
strong-coupling physics of the p=0 case is further developed numerically, using
techniques of Kabat, Lifschytz et al. [2,3], in the context of a toy model
containing the tachyon and the bosonic degrees of freedom of the D0-brane and
anti-D0-brane quantum mechanics. Preliminary numerical results show that
strong-coupling finite-temperature stabilization of the tachyon is possible, in
this context.
| [
{
"created": "Wed, 17 Mar 2004 20:03:19 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 2004 20:13:37 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Saremi",
"Omid",
""
],
[
"Peet",
"Amanda W.",
""
]
] | A brane-antibrane model for the entropy of neutral black branes is developed, following on from the work of Danielsson, Guijosa and Kruczenski [1]. The model involves equal numbers of Dp-branes and anti-Dp-branes, and arbitrary angular momenta, and covers the cases p=0,1,2,3,4. The thermodynamic entropy is reproduced by the strongly coupled field theory, up to a power of two. The strong-coupling physics of the p=0 case is further developed numerically, using techniques of Kabat, Lifschytz et al. [2,3], in the context of a toy model containing the tachyon and the bosonic degrees of freedom of the D0-brane and anti-D0-brane quantum mechanics. Preliminary numerical results show that strong-coupling finite-temperature stabilization of the tachyon is possible, in this context. |
hep-th/0303263 | Anjan Kundu Dr. | Anjan Kundu | Unifying Approaches in Integrable Systems: Quantum and Statistical,
Ultralocal and Nonultralocal | Latex, 29 pages, 1 figure; To be published in {Classical and Quantum
Integrable Systems: Theory and Applications} (ISBN 07503 09598), Institute of
Physics Publishing, (2003), http://bookmarkphysics.iop.org/ | null | null | null | hep-th nlin.SI | null | The aim of this review is to present the list of by now a significant
collection of quantum integrable models, ultralocal as well as nonultralocal,
in a systematic way stressing on their underlying unifying algebraic
structures. We restrict to quantum and statistical models belonging to
trigonometric and rational classes with (2 x 2)- Lax operators. The ultralocal
models can be classified successfully through their associated quantum algebra
and are governed by the Yang-Baxter equation, while the nonultralocal models,
the theory of which is still in the developmental stage, allow systematization
through the braided Yang-Baxter equation. Along with the known integrable
models some possible directions for investigation in this field and generation
of such new models are suggested.
| [
{
"created": "Mon, 31 Mar 2003 14:34:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kundu",
"Anjan",
""
]
] | The aim of this review is to present the list of by now a significant collection of quantum integrable models, ultralocal as well as nonultralocal, in a systematic way stressing on their underlying unifying algebraic structures. We restrict to quantum and statistical models belonging to trigonometric and rational classes with (2 x 2)- Lax operators. The ultralocal models can be classified successfully through their associated quantum algebra and are governed by the Yang-Baxter equation, while the nonultralocal models, the theory of which is still in the developmental stage, allow systematization through the braided Yang-Baxter equation. Along with the known integrable models some possible directions for investigation in this field and generation of such new models are suggested. |
0810.3970 | Anindya Mukherjee | Pallab Basu, Jianyang He, Anindya Mukherjee, Hsien-Hang Shieh | Superconductivity from D3/D7: Holographic Pion Superfluid | 18 pages, 8 figures, revtex4 | JHEP 0911:070,2009 | 10.1088/1126-6708/2009/11/070 | null | hep-th cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a D3/D7 system (at zero quark mass limit) at finite isospin
chemical potential goes through a superconductor (superfluid) like phase
transition. This is similar to a flavored superfluid phase studied in QCD
literature, where mesonic operators condensate. We have studied the frequency
dependent conductivity of the condensate and found a delta function pole in the
zero frequency limit. This is an example of superconductivity in a string
theory context. Consequently we have found a superfluid/supercurrent type
solution and studied the associated phase diagram. The superconducting
transition changes from second order to first order at a critical superfluid
velocity. We have studied various properties of the superconducting system like
superfluid density, energy gap, second sound etc. We investigate the
possibility of the isospin chemical potential modifying the embedding of the
flavor branes by checking whether the transverse scalars also condense at low
temperature. This however does not seem to be the case.
| [
{
"created": "Wed, 22 Oct 2008 18:11:32 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Basu",
"Pallab",
""
],
[
"He",
"Jianyang",
""
],
[
"Mukherjee",
"Anindya",
""
],
[
"Shieh",
"Hsien-Hang",
""
]
] | We show that a D3/D7 system (at zero quark mass limit) at finite isospin chemical potential goes through a superconductor (superfluid) like phase transition. This is similar to a flavored superfluid phase studied in QCD literature, where mesonic operators condensate. We have studied the frequency dependent conductivity of the condensate and found a delta function pole in the zero frequency limit. This is an example of superconductivity in a string theory context. Consequently we have found a superfluid/supercurrent type solution and studied the associated phase diagram. The superconducting transition changes from second order to first order at a critical superfluid velocity. We have studied various properties of the superconducting system like superfluid density, energy gap, second sound etc. We investigate the possibility of the isospin chemical potential modifying the embedding of the flavor branes by checking whether the transverse scalars also condense at low temperature. This however does not seem to be the case. |
2009.01408 | Aritra Banerjee | Arjun Bagchi, Aritra Banerjee, Shankhadeep Chakrabortty | Rindler on the Worldsheet | 5+\epsilon pages, three figures, In journal version title was changed
to "Rindler Physics on the String Worldsheet" | Phys. Rev. Lett. 126, 031601 (2021) | 10.1103/PhysRevLett.126.031601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the tensionless limit of bosonic string theory in terms of a
family of worldsheets with increasing acceleration and show that the null
string emerges in the limit of infinite acceleration when the Rindler horizon
is hit. We discover a novel phenomenon we call null string complementarity,
which gives two distinct observer dependent pictures of the emergence of open
string physics from closed strings in the tensionless limit. The closed string
vacuum as observed by the inertial worldsheet turns into a D-instanton in the
tensionless limit, while in the complementary picture from the accelerated
worldsheet one sees the emergence of a D-25 brane. We finally discuss
approaching the Rindler horizon through time evolution at constant acceleration
and also show how an open string picture arises very naturally.
| [
{
"created": "Thu, 3 Sep 2020 01:46:42 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2021 03:28:25 GMT",
"version": "v2"
}
] | 2021-02-05 | [
[
"Bagchi",
"Arjun",
""
],
[
"Banerjee",
"Aritra",
""
],
[
"Chakrabortty",
"Shankhadeep",
""
]
] | We construct the tensionless limit of bosonic string theory in terms of a family of worldsheets with increasing acceleration and show that the null string emerges in the limit of infinite acceleration when the Rindler horizon is hit. We discover a novel phenomenon we call null string complementarity, which gives two distinct observer dependent pictures of the emergence of open string physics from closed strings in the tensionless limit. The closed string vacuum as observed by the inertial worldsheet turns into a D-instanton in the tensionless limit, while in the complementary picture from the accelerated worldsheet one sees the emergence of a D-25 brane. We finally discuss approaching the Rindler horizon through time evolution at constant acceleration and also show how an open string picture arises very naturally. |
1708.08306 | Tomas Andrade | Tomas Andrade, Matteo Baggioli, Alexander Krikun, Napat Poovuttikul | Pinning of longitudinal phonons in holographic spontaneous helices | 24 pages, 14 figures. v2: comments and references added; v3:
discussions added, slight change of title, version published in JHEP | null | 10.1007/JHEP02(2018)085 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the spontaneous breaking of translational symmetry and identify
the associated Goldstone mode -- a longitudinal phonon -- in a holographic
model with Bianchi VII helical symmetry. For the first time in holography, we
observe the pinning of this mode after introducing a source for explicit
breaking compatible with the helical symmetry of our setup. We study the
dispersion relation of the resulting pseudo-Goldstone mode, uncovering how its
speed and mass gap depend on the amplitude of the source and temperature. In
addition, we extract the optical conductivity as a function of frequency, which
reveals a metal-insulator transition as a consequence of the pinning.
| [
{
"created": "Mon, 28 Aug 2017 13:26:32 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2017 11:56:00 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Jan 2018 13:29:23 GMT",
"version": "v3"
}
] | 2018-04-04 | [
[
"Andrade",
"Tomas",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Krikun",
"Alexander",
""
],
[
"Poovuttikul",
"Napat",
""
]
] | We consider the spontaneous breaking of translational symmetry and identify the associated Goldstone mode -- a longitudinal phonon -- in a holographic model with Bianchi VII helical symmetry. For the first time in holography, we observe the pinning of this mode after introducing a source for explicit breaking compatible with the helical symmetry of our setup. We study the dispersion relation of the resulting pseudo-Goldstone mode, uncovering how its speed and mass gap depend on the amplitude of the source and temperature. In addition, we extract the optical conductivity as a function of frequency, which reveals a metal-insulator transition as a consequence of the pinning. |
hep-th/9804088 | S. Shahverdiev | Shervgi S. Shahverdiyev and I. V. Tyutin | Spacetime locality in Sp(2) symmetric lagrangian formalism | LaTeX, 13 pages, minor misprints corrected | Theor.Math.Phys.115:658-669,1998; Teor.Mat.Fiz.115:373-388,1998 | 10.1007/BF02575489 | FIAN/TD/98-11 | hep-th | null | The existence of a local solution to the Sp(2) master equation for gauge
field theory is proven in the framework of perturbation theory and under
standard assumptions on regularity of the action. The arbitrariness of
solutions to the Sp(2) master equation is described, provided that they are
proper. It is also shown that the effective action can be chosen to be Sp(2)
and Lorentz invariant (under the additional assumption that the gauge
transformation generators are Lorentz tensors).
| [
{
"created": "Mon, 13 Apr 1998 09:52:48 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Sep 2001 21:00:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Shahverdiyev",
"Shervgi S.",
""
],
[
"Tyutin",
"I. V.",
""
]
] | The existence of a local solution to the Sp(2) master equation for gauge field theory is proven in the framework of perturbation theory and under standard assumptions on regularity of the action. The arbitrariness of solutions to the Sp(2) master equation is described, provided that they are proper. It is also shown that the effective action can be chosen to be Sp(2) and Lorentz invariant (under the additional assumption that the gauge transformation generators are Lorentz tensors). |
hep-th/9311043 | null | V.I. Man'ko | Some Rules for Polydimensional Squeezing | Latex,8 pages, INFN-Na-IV-93/30,DSF-T-93/30 | null | null | null | hep-th | null | The review of the following results of the Refs. \cite{Sem} - \cite{Ans} is
presented: For mixed state light of $N$-mode electromagnetic field described by
Wigner function which has generic Gaussian form the photon distribution
function is obtained and expressed expliciltly in terms of Hermite polynomials
of $2N$-variables.The momenta of this distribution are calculated and expressed
as functions of matrix invariants of the dispersion matrix.The role of new
uncertainty relation depending on photon state mixing parameter is
elucidated.New sum rules for Hermite polynomials of several variables are
found.The photon statistics of polymode even and odd coherent light and
squeezed polymode Schr\"odinger cat light is qiven explicitly.Photon
distribution for polymode squeezed number states expressed in terms of
multivariable Hermite polynomials is discussed.
| [
{
"created": "Mon, 8 Nov 1993 13:01:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Man'ko",
"V. I.",
""
]
] | The review of the following results of the Refs. \cite{Sem} - \cite{Ans} is presented: For mixed state light of $N$-mode electromagnetic field described by Wigner function which has generic Gaussian form the photon distribution function is obtained and expressed expliciltly in terms of Hermite polynomials of $2N$-variables.The momenta of this distribution are calculated and expressed as functions of matrix invariants of the dispersion matrix.The role of new uncertainty relation depending on photon state mixing parameter is elucidated.New sum rules for Hermite polynomials of several variables are found.The photon statistics of polymode even and odd coherent light and squeezed polymode Schr\"odinger cat light is qiven explicitly.Photon distribution for polymode squeezed number states expressed in terms of multivariable Hermite polynomials is discussed. |
hep-th/9702028 | Hamid Bougourzi | A. Abada, A.H. Bougourzi and B. Si-Lakhal | Exact four-spinon dynamical correlation function of the Heisenberg model | 26 pages, Tex | Nucl.Phys. B497 (1997) 733-753 | 10.1016/S0550-3213(97)00285-X | ITP-SB-96-72, December 96 | hep-th cond-mat math.QA q-alg | null | In this paper we derive the exact expression of the four-spinon contribution
to the dynamical correlation function of the spin S= 1/2 anisotropic (XXZ)
Heisenberg model in the antiferromagnetic regime. We extensively study its
isotropic (XXX) limit and derive perturbatively the Ising one. Our method
relies on the quantum affine symmetry of the model, which allows for a
systematic diagonalization of the Hamiltonian in the thermodynamic limit and
for an exact calculation of matrix elements of local spin operators. In fact,
we argue that the familiar criticism of this method related to the complication
of these matrix elements is not justified. First, we give, in the form of
contour integrals, an exact expression for the n-spinon contribution. After we
compile recently found results concerning the two-spinon contribution, we
specialize the n-spinon formula to the new case n=4. Then we give an explicit
series representation of this contribution in the isotropic limit. Finally,
after we show that this representation is free of divergences, we discuss the
Ising limit in which a simple expression is found up to first order in the
anisotropy parameter.
| [
{
"created": "Tue, 4 Feb 1997 21:56:12 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Abada",
"A.",
""
],
[
"Bougourzi",
"A. H.",
""
],
[
"Si-Lakhal",
"B.",
""
]
] | In this paper we derive the exact expression of the four-spinon contribution to the dynamical correlation function of the spin S= 1/2 anisotropic (XXZ) Heisenberg model in the antiferromagnetic regime. We extensively study its isotropic (XXX) limit and derive perturbatively the Ising one. Our method relies on the quantum affine symmetry of the model, which allows for a systematic diagonalization of the Hamiltonian in the thermodynamic limit and for an exact calculation of matrix elements of local spin operators. In fact, we argue that the familiar criticism of this method related to the complication of these matrix elements is not justified. First, we give, in the form of contour integrals, an exact expression for the n-spinon contribution. After we compile recently found results concerning the two-spinon contribution, we specialize the n-spinon formula to the new case n=4. Then we give an explicit series representation of this contribution in the isotropic limit. Finally, after we show that this representation is free of divergences, we discuss the Ising limit in which a simple expression is found up to first order in the anisotropy parameter. |
2009.03914 | Daniel Junghans | Xin Gao, Arthur Hebecker and Daniel Junghans | Control issues of KKLT | 36 pages, 4 figures. v2: referencing improved. v3: more details added | Fortsch.Phys. 2020, 68, 2000089 | 10.1002/prop.202000089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze to which extent the KKLT proposal for the construction of de
Sitter vacua in string theory is quantitatively controlled. Our focus is on the
quality of the 10d supergravity approximation. As our main finding, we uncover
and quantify an issue which one may want to call the "singular-bulk problem".
In particular, we show that, requiring the curvature to be small in the
conifold region, one is generically forced into a regime where the warp factor
becomes negative in a significant part of the Calabi-Yau orientifold. This
implies true singularities, independent of the familiar, string-theoretically
controlled singularities of this type in the vicinity of O-planes. We also
discuss possible escape routes as well as other control issues, related to the
need for a large tadpole and hence for a complicated topology.
| [
{
"created": "Tue, 8 Sep 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Sep 2020 10:39:54 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Dec 2020 13:49:18 GMT",
"version": "v3"
}
] | 2021-07-07 | [
[
"Gao",
"Xin",
""
],
[
"Hebecker",
"Arthur",
""
],
[
"Junghans",
"Daniel",
""
]
] | We analyze to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. Our focus is on the quality of the 10d supergravity approximation. As our main finding, we uncover and quantify an issue which one may want to call the "singular-bulk problem". In particular, we show that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi-Yau orientifold. This implies true singularities, independent of the familiar, string-theoretically controlled singularities of this type in the vicinity of O-planes. We also discuss possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology. |
0809.1994 | Daniele Bettinelli | Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri | The SU(2) X U(1) Electroweak Model based on the Nonlinearly Realized
Gauge Group. II. Functional Equations and the Weak Power-Counting | 29 pages, 4 figure, typos corrected, final version published by Acta
Physica Polonica, some typos corrected in eq.(12). The errors have a pure
editing origin. Therefore they do not affect the content of the paper | Acta Phys.Polon.B41:597-628,2010 | null | IFUM-931-FT, MIT-CTP-4009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper, that is the second part devoted to the construction of
an electroweak model based on a nonlinear realization of the gauge group SU(2)
X U(1), we study the tree-level vertex functional with all the sources
necessary for the functional formulation of the relevant symmetries (Local
Functional Equation, Slavnov-Taylor identity, Landau Gauge Equation) and for
the symmetric removal of the divergences. The Weak Power Counting criterion is
proven in the presence of the novel sources. The local invariant solutions of
the functional equations are constructed in order to represent the counterterms
for the one-loop subtractions. The bleaching technique is fully extended to the
fermion sector. The neutral sector of the vector mesons is analyzed in detail
in order to identify the physical fields for the photon and the Z boson. The
identities necessary for the decoupling of the unphysical modes are fully
analyzed. These latter results are crucially bound to the Landau gauge used
throughout the paper.
| [
{
"created": "Thu, 11 Sep 2008 13:30:23 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2009 14:13:54 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Nov 2009 13:40:48 GMT",
"version": "v3"
},
{
"created": "Tue, 16 Feb 2010 14:02:46 GMT",
"version": "v4"
},
{
"created": "Fri, 19 Nov 2010 13:59:09 GMT",
"version": "v5"
}
] | 2010-11-22 | [
[
"Bettinelli",
"Daniele",
""
],
[
"Ferrari",
"Ruggero",
""
],
[
"Quadri",
"Andrea",
""
]
] | In the present paper, that is the second part devoted to the construction of an electroweak model based on a nonlinear realization of the gauge group SU(2) X U(1), we study the tree-level vertex functional with all the sources necessary for the functional formulation of the relevant symmetries (Local Functional Equation, Slavnov-Taylor identity, Landau Gauge Equation) and for the symmetric removal of the divergences. The Weak Power Counting criterion is proven in the presence of the novel sources. The local invariant solutions of the functional equations are constructed in order to represent the counterterms for the one-loop subtractions. The bleaching technique is fully extended to the fermion sector. The neutral sector of the vector mesons is analyzed in detail in order to identify the physical fields for the photon and the Z boson. The identities necessary for the decoupling of the unphysical modes are fully analyzed. These latter results are crucially bound to the Landau gauge used throughout the paper. |
1204.4061 | Binata Panda | Sayantani Bhattacharyya, Binata Panda and Ashoke Sen | Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in
Einstein-Maxwell Theory | 12 pages | null | 10.1007/JHEP08(2012)084 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the second Seely-DeWitt coefficient of the kinetic operator of the
metric and gauge fields in Einstein-Maxwell theory in an arbitrary background
field configuration. We then use this result to compute the logarithmic
correction to the entropy of an extremal Kerr-Newmann black hole.
| [
{
"created": "Wed, 18 Apr 2012 12:06:48 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Panda",
"Binata",
""
],
[
"Sen",
"Ashoke",
""
]
] | We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fields in Einstein-Maxwell theory in an arbitrary background field configuration. We then use this result to compute the logarithmic correction to the entropy of an extremal Kerr-Newmann black hole. |
1201.2239 | Sergei V. Ketov | Sergei V. Ketov | Modified Supergravity and Early Universe: the Meeting Point of Cosmology
and High-Energy Physics | 70 pages, 8 figures; LaTeX; extended and updated version (two
references added to the earlier version) | Intern. Journ. Mod. Phys. A28 (2013) 1330021 | 10.1142/S0217751X13300214 | IPMU12-002 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the new theory of modified supergravity, dubbed F(\cal R)
supergravity, and some of its recent applications to inflation and reheating in
the early universe cosmology. The F(\cal R) supergravity is the N=1 locally
supersymmetric extension of the f(R) gravity in four space-time dimensions. A
manifestly supersymmetric formulation of the F(\cal R) supergravity exist in
terms of N=1 superfields, by using the (old) minimal Poincar'e supergravity in
curved superspace. We find the conditions for stability, the absence of ghosts
and tachyons. Three models of the F(\cal R) supergravity are studied. The first
example is devoted to a recovery of the standard (pure) N=1 supergravity with a
negative cosmological constant from the F(\cal R) supergravity. As the second
example, a generic {\cal R}^2-type supergravity is investigated, and the
existence of the AdS bound on the scalar curvature is found. As the third (and
most important) example, a simple viable realization of chaotic inflation in
supergravity is found. Our approach is {\it minimalistic} since it does not
introduce new exotic fields or new interactions, beyond those already present
in (super)gravity. The universal reheating mechanism is automatic. We establish
the consistency of our approach and also apply it to preheating and reheating
after inflation. The Higgs inflation and its correspondence to the Starobinsky
inflation is established in the context of supergravity. We briefly review
other relevant issues such as non-Gaussianity, CP-violation, origin of baryonic
asymmetry, lepto- and baryo-genesis. The F(\cal R) supergravity has promise for
possible solutions to those outstanding problems too.
| [
{
"created": "Wed, 11 Jan 2012 04:55:08 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Apr 2013 04:25:34 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Jun 2013 02:47:22 GMT",
"version": "v3"
}
] | 2013-06-18 | [
[
"Ketov",
"Sergei V.",
""
]
] | We review the new theory of modified supergravity, dubbed F(\cal R) supergravity, and some of its recent applications to inflation and reheating in the early universe cosmology. The F(\cal R) supergravity is the N=1 locally supersymmetric extension of the f(R) gravity in four space-time dimensions. A manifestly supersymmetric formulation of the F(\cal R) supergravity exist in terms of N=1 superfields, by using the (old) minimal Poincar'e supergravity in curved superspace. We find the conditions for stability, the absence of ghosts and tachyons. Three models of the F(\cal R) supergravity are studied. The first example is devoted to a recovery of the standard (pure) N=1 supergravity with a negative cosmological constant from the F(\cal R) supergravity. As the second example, a generic {\cal R}^2-type supergravity is investigated, and the existence of the AdS bound on the scalar curvature is found. As the third (and most important) example, a simple viable realization of chaotic inflation in supergravity is found. Our approach is {\it minimalistic} since it does not introduce new exotic fields or new interactions, beyond those already present in (super)gravity. The universal reheating mechanism is automatic. We establish the consistency of our approach and also apply it to preheating and reheating after inflation. The Higgs inflation and its correspondence to the Starobinsky inflation is established in the context of supergravity. We briefly review other relevant issues such as non-Gaussianity, CP-violation, origin of baryonic asymmetry, lepto- and baryo-genesis. The F(\cal R) supergravity has promise for possible solutions to those outstanding problems too. |
0807.3228 | Martin Wolf | Niklas Beisert, Riccardo Ricci, Arkady Tseytlin, Martin Wolf | Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability | V2: 33 pages, clarifications added and minor corrections, replaced
with version to appear in PRD | Phys.Rev.D78:126004,2008 | 10.1103/PhysRevD.78.126004 | AEI-2008-044, Imperial-TP-RR-01/2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss 2d duality transformations in the classical AdS5 x S5 superstring
and their effect on the integrable structure. T-duality along four directions
in Poincare parametrization of AdS5 maps the bosonic part of the superstring
action into itself. On bosonic level, this duality may be understood as a
symmetry of the first-order (phase space) system of equations for the coset
components of the current. The associated Lax connection is invariant modulo
the action of an so(2,4)-automorphism. We then show that this symmetry extends
to the full superstring, provided one supplements the transformation of the
bosonic components of the current with a transformation on the fermionic ones.
At the level of the action, this symmetry can be seen by combining the bosonic
duality transformation with a similar one applied to part of the fermionic
superstring coordinates. As a result, the full superstring action is mapped
into itself, albeit in a different kappa-symmetry gauge. One implication is
that the dual model has the same superconformal symmetry group as the original
one, and this may be seen as a consequence of the integrability of the
superstring. The invariance of the Lax connection under the duality implies a
map on the full set of conserved charges that should interchange some of the
Noether (local) charges with hidden (non-local) ones and vice versa.
| [
{
"created": "Mon, 21 Jul 2008 17:13:10 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 2008 19:35:49 GMT",
"version": "v2"
}
] | 2008-12-30 | [
[
"Beisert",
"Niklas",
""
],
[
"Ricci",
"Riccardo",
""
],
[
"Tseytlin",
"Arkady",
""
],
[
"Wolf",
"Martin",
""
]
] | We discuss 2d duality transformations in the classical AdS5 x S5 superstring and their effect on the integrable structure. T-duality along four directions in Poincare parametrization of AdS5 maps the bosonic part of the superstring action into itself. On bosonic level, this duality may be understood as a symmetry of the first-order (phase space) system of equations for the coset components of the current. The associated Lax connection is invariant modulo the action of an so(2,4)-automorphism. We then show that this symmetry extends to the full superstring, provided one supplements the transformation of the bosonic components of the current with a transformation on the fermionic ones. At the level of the action, this symmetry can be seen by combining the bosonic duality transformation with a similar one applied to part of the fermionic superstring coordinates. As a result, the full superstring action is mapped into itself, albeit in a different kappa-symmetry gauge. One implication is that the dual model has the same superconformal symmetry group as the original one, and this may be seen as a consequence of the integrability of the superstring. The invariance of the Lax connection under the duality implies a map on the full set of conserved charges that should interchange some of the Noether (local) charges with hidden (non-local) ones and vice versa. |
1901.09046 | Yusuke Yamada | Renata Kallosh, Yusuke Yamada | Simple Sinflaton-less $\alpha$-attractors | 12 pages | null | 10.1007/JHEP03(2019)139 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the simplest inflationary $\alpha$-attractor models in
supergravity: it has only one scalar, the inflaton. There is no sinflaton since
the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton
depends on fermion bilinears. When the local supersymmetry is gauge-fixed,
these models have only one single real scalar (the inflaton), a graviton and a
massive gravitino. The sinflaton, sgoldstino and inflatino are all absent from
the physical spectrum in the unitary gauge. The orthogonality condition leads
to the simplest K\"ahler potential for the inflaton, while preserving the
Poincar\'e disk geometry of $\alpha$-attractors. The models are particularly
simple in the framework of the $\overline {D3}$ induced geometric inflation.
| [
{
"created": "Fri, 25 Jan 2019 19:03:45 GMT",
"version": "v1"
}
] | 2019-05-01 | [
[
"Kallosh",
"Renata",
""
],
[
"Yamada",
"Yusuke",
""
]
] | We construct the simplest inflationary $\alpha$-attractor models in supergravity: it has only one scalar, the inflaton. There is no sinflaton since the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton depends on fermion bilinears. When the local supersymmetry is gauge-fixed, these models have only one single real scalar (the inflaton), a graviton and a massive gravitino. The sinflaton, sgoldstino and inflatino are all absent from the physical spectrum in the unitary gauge. The orthogonality condition leads to the simplest K\"ahler potential for the inflaton, while preserving the Poincar\'e disk geometry of $\alpha$-attractors. The models are particularly simple in the framework of the $\overline {D3}$ induced geometric inflation. |
0904.2715 | Davide Gaiotto | Davide Gaiotto | N=2 dualities | 59 pages, 43 figures | null | 10.1007/JHEP08(2012)034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the generalization of S-duality and Argyres-Seiberg duality for a
large class of N=2 superconformal gauge theories. We identify a family of
strongly interacting SCFTs and use them as building blocks for generalized
superconformal quiver gauge theories. This setup provides a detailed
description of the ``very strongly coupled'' regions in the moduli space of
more familiar gauge theories. As a byproduct, we provide a purely four
dimensional construction of N=2 theories defined by wrapping M5 branes over a
Riemann surface.
| [
{
"created": "Fri, 17 Apr 2009 14:40:39 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Gaiotto",
"Davide",
""
]
] | We study the generalization of S-duality and Argyres-Seiberg duality for a large class of N=2 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the ``very strongly coupled'' regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of N=2 theories defined by wrapping M5 branes over a Riemann surface. |
hep-th/0610116 | Willie Merrell II | Willie Merrell, Leopoldo A. Pando Zayas, Diana Vaman | Gauged (2,2) Sigma Models and Generalized Kahler Geometry | 33 pages | JHEP0712:039,2007 | 10.1088/1126-6708/2007/12/039 | UMDEPP 06-050 | hep-th | null | We gauge the (2,2) supersymmetric non-linear sigma model whose target space
has bihermitian structure (g, B, J_{\pm}) with noncommuting complex structures.
The bihermitian geometry is realized by a sigma model which is written in terms
of (2,2) semi-chiral superfields. We discuss the moment map, from the
perspective of the gauged sigma model action and from the integrability
condition for a Hamiltonian vector field. We show that for a concrete example,
the SU(2) x U(1) WZNW model, as well as for the sigma models with almost
product structure, the moment map can be used together with the corresponding
Killing vector to form an element of T+T* which lies in the eigenbundle of the
generalized almost complex structure. Lastly, we discuss T-duality at the level
of a (2,2) sigma model involving semi-chiral superfields and present an
explicit example.
| [
{
"created": "Tue, 10 Oct 2006 18:04:22 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2007 00:31:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Merrell",
"Willie",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Vaman",
"Diana",
""
]
] | We gauge the (2,2) supersymmetric non-linear sigma model whose target space has bihermitian structure (g, B, J_{\pm}) with noncommuting complex structures. The bihermitian geometry is realized by a sigma model which is written in terms of (2,2) semi-chiral superfields. We discuss the moment map, from the perspective of the gauged sigma model action and from the integrability condition for a Hamiltonian vector field. We show that for a concrete example, the SU(2) x U(1) WZNW model, as well as for the sigma models with almost product structure, the moment map can be used together with the corresponding Killing vector to form an element of T+T* which lies in the eigenbundle of the generalized almost complex structure. Lastly, we discuss T-duality at the level of a (2,2) sigma model involving semi-chiral superfields and present an explicit example. |
0803.0283 | Stefano De Leo | Stefano De Leo, Pietro Rotelli | Bound State Inequality for High Mass Exchanges in a Scalar Field Model | 14 pages, 3 figures | Eur.Phys.J.C53:659-666,2008 | 10.1140/epjc/s10052-007-0497-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ladder diagrams are relevant for the study of bound states. The condition
upon the coupling strength for the existence of a bound state has been deduced
in a scalar field theory for the case of low mass exchanges. We apply this
approach to the case of very high mass exchanges.
| [
{
"created": "Mon, 3 Mar 2008 16:53:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"De Leo",
"Stefano",
""
],
[
"Rotelli",
"Pietro",
""
]
] | Ladder diagrams are relevant for the study of bound states. The condition upon the coupling strength for the existence of a bound state has been deduced in a scalar field theory for the case of low mass exchanges. We apply this approach to the case of very high mass exchanges. |
1006.5149 | Maciej Dunajski | Maciej Dunajski, Jan Gutowski, Wafic Sabra, Paul Tod | Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry:
Anti-Self-Dual Solutions | Final version - to appear in CQG. Small changes in the manuscript and
the title | Class.Quant.Grav.28:025007,2011 | 10.1088/0264-9381/28/2/025007 | DAMTP-2010-50 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify super-symmetric solutions of the minimal $N=2$ gauged Euclidean
supergravity in four dimensions. The solutions with anti-self-dual Maxwell
field give rise to anti-self-dual Einstein metrics given in terms of solutions
to the $SU(\infty)$ Toda equation and more general three-dimensional
Einstein--Weyl structures. Euclidean Kastor--Traschen metrics are also
characterised by the existence of a certain super covariantly constant spinor.
| [
{
"created": "Sat, 26 Jun 2010 15:02:03 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 2010 18:16:58 GMT",
"version": "v2"
}
] | 2011-01-17 | [
[
"Dunajski",
"Maciej",
""
],
[
"Gutowski",
"Jan",
""
],
[
"Sabra",
"Wafic",
""
],
[
"Tod",
"Paul",
""
]
] | We classify super-symmetric solutions of the minimal $N=2$ gauged Euclidean supergravity in four dimensions. The solutions with anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the $SU(\infty)$ Toda equation and more general three-dimensional Einstein--Weyl structures. Euclidean Kastor--Traschen metrics are also characterised by the existence of a certain super covariantly constant spinor. |
hep-th/0109188 | Thomas Branson | Collin Bennett and Thomas Branson | Curvature actions on Spin(n) bundles | 24 pages, LaTeX | null | null | null | hep-th | null | We compute the number of linearly independent ways in which a tensor of Weyl
type may act upon a given irreducible tensor-spinor bundle V over a Riemannian
manifold. Together with the analogous but easier problem involving actions of
tensors of Einstein type, this enumerates the possible curvature actions on V.
| [
{
"created": "Mon, 24 Sep 2001 16:10:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bennett",
"Collin",
""
],
[
"Branson",
"Thomas",
""
]
] | We compute the number of linearly independent ways in which a tensor of Weyl type may act upon a given irreducible tensor-spinor bundle V over a Riemannian manifold. Together with the analogous but easier problem involving actions of tensors of Einstein type, this enumerates the possible curvature actions on V. |
2105.13268 | Leron Borsten | L. Borsten, M. J. Duff and S. Nagy | Odd dimensional analogue of the Euler characteristic | 29 pg | null | 10.1007/JHEP12(2021)178 | Imperial-TP-2021-MJD-01 | hep-th gr-qc math.GN | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When compact manifolds $X$ and $Y$ are both even dimensional, their Euler
characteristics obey the K\"unneth formula $\chi(X\times Y)=\chi(X) \chi(Y)$.
In terms of the Betti numbers $b_p(X)$, $\chi(X)=\sum_{p}(-1)^p b_p(X)$,
implying that $\chi(X)=0$ when $X$ is odd dimensional. We seek a linear
combination of Betti numbers, called $\rho$, that obeys an analogous formula
$\rho(X\times Y)=\chi(X) \rho(Y)$ when $Y$ is odd dimensional. The unique
solution is $\rho(Y)=-\sum_{p}(-1)^p p b_p(Y)$. Physical applications include:
(1) $\rho \rightarrow (-1)^m \rho $ under a generalized mirror map in $d=2m+1$
dimensions, in analogy with $\chi \rightarrow (-1)^m \chi $ in $d=2m$; (2)
$\rho$ appears naturally in compactifications of M-theory. For example, the
4-dimensional Weyl anomaly for M-theory on $X^4 \times Y^7$ is given by
$\chi(X^4)\rho(Y^7)=\rho(X^4 \times Y^7) $ and hence vanishes when $Y^7$ is
self-mirror. Since, in particular, $\rho(Y\times S^1)=\chi(Y)$, this is
consistent with the corresponding anomaly for Type IIA on $X^4 \times Y^6$,
given by $\chi(X^4)\chi(Y^6)=\chi(X^4 \times Y^6)$, which vanishes when $Y^6$
is self-mirror; (3) In the partition function of $p$-form gauge fields, $\rho$
appears in odd dimensions as $\chi$ does in even.
| [
{
"created": "Thu, 27 May 2021 16:11:32 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Nagy",
"S.",
""
]
] | When compact manifolds $X$ and $Y$ are both even dimensional, their Euler characteristics obey the K\"unneth formula $\chi(X\times Y)=\chi(X) \chi(Y)$. In terms of the Betti numbers $b_p(X)$, $\chi(X)=\sum_{p}(-1)^p b_p(X)$, implying that $\chi(X)=0$ when $X$ is odd dimensional. We seek a linear combination of Betti numbers, called $\rho$, that obeys an analogous formula $\rho(X\times Y)=\chi(X) \rho(Y)$ when $Y$ is odd dimensional. The unique solution is $\rho(Y)=-\sum_{p}(-1)^p p b_p(Y)$. Physical applications include: (1) $\rho \rightarrow (-1)^m \rho $ under a generalized mirror map in $d=2m+1$ dimensions, in analogy with $\chi \rightarrow (-1)^m \chi $ in $d=2m$; (2) $\rho$ appears naturally in compactifications of M-theory. For example, the 4-dimensional Weyl anomaly for M-theory on $X^4 \times Y^7$ is given by $\chi(X^4)\rho(Y^7)=\rho(X^4 \times Y^7) $ and hence vanishes when $Y^7$ is self-mirror. Since, in particular, $\rho(Y\times S^1)=\chi(Y)$, this is consistent with the corresponding anomaly for Type IIA on $X^4 \times Y^6$, given by $\chi(X^4)\chi(Y^6)=\chi(X^4 \times Y^6)$, which vanishes when $Y^6$ is self-mirror; (3) In the partition function of $p$-form gauge fields, $\rho$ appears in odd dimensions as $\chi$ does in even. |
2311.13039 | Jorge Ananias Neto | Gabriella V. Ambrosio, Cleber N. Costa, Paulo R. F. Alves, Jorge
Ananias Neto and Ronaldo Thibes | Note on an extended chiral bosons system contextualized in a modified
gauge-unfixing formalism | Revised version. To appear in EPL | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We analyze the Hamiltonian structure of an extended chiral bosons theory in
which the self-dual constraint is introduced via a control $\alpha$-parameter.
The system has two second-class constraints in the non-critical regime and an
additional one in the critical regime. We use a modified gauge unfixing
formalism to derive a first-class system, disclosing hidden symmetries. To this
end, we choose one of the second-class constraints to build a corresponding
gauge symmetry generator. The worked out procedure converts second-class
variables into first-class ones allowing the lifting of gauge symmetry. Any
function of these GU variables will also be invariant. We obtain the GU
Hamiltonian and Lagrangian densities in a generalized context containing the
Srivastava and Floreanini-Jackiw models as particular cases. Additionally, we
observe that the resulting GU Lagrangian presents similarities to the Siegel
invariant Lagrangian which is known to be suitable for describing chiral bosons
theory with classical gauge invariance, however broken at quantum level. The
final results signal a possible equivalence between our invariant Lagrangian
obtained from the modified GU formalism and the Siegel invariant Lagrangian,
with a distinct gauge symmetry.
| [
{
"created": "Tue, 21 Nov 2023 23:03:28 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2024 17:58:20 GMT",
"version": "v2"
}
] | 2024-01-15 | [
[
"Ambrosio",
"Gabriella V.",
""
],
[
"Costa",
"Cleber N.",
""
],
[
"Alves",
"Paulo R. F.",
""
],
[
"Neto",
"Jorge Ananias",
""
],
[
"Thibes",
"Ronaldo",
""
]
] | We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control $\alpha$-parameter. The system has two second-class constraints in the non-critical regime and an additional one in the critical regime. We use a modified gauge unfixing formalism to derive a first-class system, disclosing hidden symmetries. To this end, we choose one of the second-class constraints to build a corresponding gauge symmetry generator. The worked out procedure converts second-class variables into first-class ones allowing the lifting of gauge symmetry. Any function of these GU variables will also be invariant. We obtain the GU Hamiltonian and Lagrangian densities in a generalized context containing the Srivastava and Floreanini-Jackiw models as particular cases. Additionally, we observe that the resulting GU Lagrangian presents similarities to the Siegel invariant Lagrangian which is known to be suitable for describing chiral bosons theory with classical gauge invariance, however broken at quantum level. The final results signal a possible equivalence between our invariant Lagrangian obtained from the modified GU formalism and the Siegel invariant Lagrangian, with a distinct gauge symmetry. |
0903.4471 | Kenichi Konishi | Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Kenichi Konishi,
Takayuki Nagashima, Muneto Nitta, Keisuke Ohashi, Walter Vinci | Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories | Latex, 69 pages, 13 figures | JHEP 0906:004,2009 | 10.1088/1126-6708/2009/06/004 | DAMTP-2009-27, IFUP-TH/2009-07, TIT/HEP-595 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories
are constructed in maximally color-flavor locked vacua. We study in detail
their moduli and transformation properties under the exact symmetry of the
system. Our results generalize non-trivially those found earlier in
supersymmetric U(N) gauge theories. The structure of the moduli spaces turns
out in fact to be considerably richer here than what was found in the U(N)
theories. We find that vortices are generally of the semi-local type, with
power-like tails of profile functions.
| [
{
"created": "Wed, 25 Mar 2009 21:03:41 GMT",
"version": "v1"
}
] | 2009-06-19 | [
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Nagashima",
"Takayuki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Vinci",
"Walter",
""
]
] | Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories are constructed in maximally color-flavor locked vacua. We study in detail their moduli and transformation properties under the exact symmetry of the system. Our results generalize non-trivially those found earlier in supersymmetric U(N) gauge theories. The structure of the moduli spaces turns out in fact to be considerably richer here than what was found in the U(N) theories. We find that vortices are generally of the semi-local type, with power-like tails of profile functions. |
1108.1205 | Julian Sonner | Jerome Gauntlett, Julian Sonner, Daniel Waldram | Spectral function of the supersymmetry current | 65 pages, 6 Figs; version published in journal | null | 10.1007/JHEP11(2011)153 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our study of the retarded Green's function of the universal
fermionic supersymmetry current ("supercurrent") for the most general class of
d=3 N=2 SCFTs with D=10 or D=11 supergravity duals by studying the propagation
of the Dirac gravitino in the electrically charged AdS-Reissner-Nordstr\"om
black-brane background of N=2 minimal gauged supergravity in D=4. We expand
upon results presented in a companion paper, including the absence of a Fermi
surface and the appearance of a soft power-law gap at zero temperature. We also
present the analytic solution of the gravitino equation in the AdS_2 X R^2
background which arises as the near-horizon limit at zero temperature. In
addition we determine the quasinormal mode spectrum.
| [
{
"created": "Thu, 4 Aug 2011 20:08:26 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2011 17:51:37 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 2011 09:21:29 GMT",
"version": "v3"
}
] | 2011-12-13 | [
[
"Gauntlett",
"Jerome",
""
],
[
"Sonner",
"Julian",
""
],
[
"Waldram",
"Daniel",
""
]
] | We continue our study of the retarded Green's function of the universal fermionic supersymmetry current ("supercurrent") for the most general class of d=3 N=2 SCFTs with D=10 or D=11 supergravity duals by studying the propagation of the Dirac gravitino in the electrically charged AdS-Reissner-Nordstr\"om black-brane background of N=2 minimal gauged supergravity in D=4. We expand upon results presented in a companion paper, including the absence of a Fermi surface and the appearance of a soft power-law gap at zero temperature. We also present the analytic solution of the gravitino equation in the AdS_2 X R^2 background which arises as the near-horizon limit at zero temperature. In addition we determine the quasinormal mode spectrum. |
hep-th/0612024 | David Dudal | D. Dudal, J.A. Gracey, R.F. Sobreiro, S.P. Sorella, H. Verschelde | UV finiteness of 3D Yang-Mills theories with a regulating mass in the
Landau gauge | 6 pages | Phys.Rev.D75:061701,2007 | 10.1103/PhysRevD.75.061701 | LTH-733 | hep-th | null | We prove that three-dimensional Yang-Mills theories in the Landau gauge
supplemented with a infrared regulating, parity preserving mass term are
ultraviolet finite to all orders. We also extend this result to the
Curci-Ferrari gauge.
| [
{
"created": "Mon, 4 Dec 2006 12:56:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dudal",
"D.",
""
],
[
"Gracey",
"J. A.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Verschelde",
"H.",
""
]
] | We prove that three-dimensional Yang-Mills theories in the Landau gauge supplemented with a infrared regulating, parity preserving mass term are ultraviolet finite to all orders. We also extend this result to the Curci-Ferrari gauge. |
2002.03685 | Moumita Patra | Moumita Patra | Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver
Gauge Theories | 72 pages, 6 figures. This article supersedes arXiv:1809.10731 | null | 10.1007/JHEP06(2020)008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute R-charges of the BPS-monopole operators in $\mathcal{N} = 3$
$\widehat{ADE}$ Chern-Simons quiver gauge theories, along the lines of the work
of Benna, Klebanov and Klose in \cite{bkk}. These theories have a weakly
coupled UV completion in terms of $\mathcal{N}=3$ supersymmetric Chern-Simons
Yang-Mills theories. In the UV limit the monopole operators are well
approximated by classical solutions. We construct classical BPS and anti-BPS
monopole solutions to these theories which preserve $\frac{1}{3}$ supersymmetry
all along the RG flow. We compute the $SU(2)_R$ charges in these backgrounds
and show that the smallest possible value of quantised $SU(2)_R$ charge is zero
in each quiver theory.
| [
{
"created": "Mon, 10 Feb 2020 12:36:46 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Patra",
"Moumita",
""
]
] | We compute R-charges of the BPS-monopole operators in $\mathcal{N} = 3$ $\widehat{ADE}$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in \cite{bkk}. These theories have a weakly coupled UV completion in terms of $\mathcal{N}=3$ supersymmetric Chern-Simons Yang-Mills theories. In the UV limit the monopole operators are well approximated by classical solutions. We construct classical BPS and anti-BPS monopole solutions to these theories which preserve $\frac{1}{3}$ supersymmetry all along the RG flow. We compute the $SU(2)_R$ charges in these backgrounds and show that the smallest possible value of quantised $SU(2)_R$ charge is zero in each quiver theory. |
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