id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9701076 | null | G.K.Savvidy | Quantum gravity with linear action. Intrinsic rigidity of spacetime | 10 pages, Latex, espcrc2.sty | Nucl.Phys.Proc.Suppl. 57 (1997) 104-114 | 10.1016/S0920-5632(97)00358-7 | NRCPS-HE-97-1 | hep-th | null | An earlier proposed theory with linear-gonihedhic action for quantum gravity
is reviewed. One can consider this theory as a "square root" of classical
gravity with a new fundamental constant of dimension one. We demonstrate also,
that the partition function for the discretized version of the Einstein-Hilbert
action found by Regge in 1961 can be represented as a superposition of random
surfaces with Euler character as an action and in the case of linear gravity as
a superposition of three-dimensional manifolds with an action which is
proportional to the total solid angle deficit of these manifolds. This
representation allows to construct the transfer matrix which describes the
propagation of space manifold. We discuss the so called gonihedric principle
which allows to defind a discrete version of high derivative terms in quantum
gravity and to introduce intrinsic rigidity of spacetime. This note is based on
a talk delivered at the II meeting on constrained dynamics and quantum gravity
at Santa Margherita Ligure.
| [
{
"created": "Wed, 15 Jan 1997 16:00:23 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Savvidy",
"G. K.",
""
]
] | An earlier proposed theory with linear-gonihedhic action for quantum gravity is reviewed. One can consider this theory as a "square root" of classical gravity with a new fundamental constant of dimension one. We demonstrate also, that the partition function for the discretized version of the Einstein-Hilbert action found by Regge in 1961 can be represented as a superposition of random surfaces with Euler character as an action and in the case of linear gravity as a superposition of three-dimensional manifolds with an action which is proportional to the total solid angle deficit of these manifolds. This representation allows to construct the transfer matrix which describes the propagation of space manifold. We discuss the so called gonihedric principle which allows to defind a discrete version of high derivative terms in quantum gravity and to introduce intrinsic rigidity of spacetime. This note is based on a talk delivered at the II meeting on constrained dynamics and quantum gravity at Santa Margherita Ligure. |
hep-th/9304062 | Mirjam Cvetic | Mirjam Cvetic | Flat World of Dilatonic Domain Walls | 11 pgs (+2 figures available upon request), UPR-560-T | Phys.Rev.Lett.71:815-818,1993 | 10.1103/PhysRevLett.71.815 | null | hep-th gr-qc | null | We study dilatonic domain walls specific to superstring theory.
Along with the matter fields and metric the dilaton also changes its value in
the wall background. We found supersymmetric (extreme) solutions which in
general interpolate between isolated superstring vacua with non-equal value of
the matter potential; they correspond to the static, planar domain walls with
{\it flat} metric in the string (sigma model) frame.
We point out similarities between the space-time of dilatonic walls and that
of charged dilatonic black holes. We also comment on non-extreme solutions
corresponding to expanding bubbles.
| [
{
"created": "Fri, 16 Apr 1993 02:31:32 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Cvetic",
"Mirjam",
""
]
] | We study dilatonic domain walls specific to superstring theory. Along with the matter fields and metric the dilaton also changes its value in the wall background. We found supersymmetric (extreme) solutions which in general interpolate between isolated superstring vacua with non-equal value of the matter potential; they correspond to the static, planar domain walls with {\it flat} metric in the string (sigma model) frame. We point out similarities between the space-time of dilatonic walls and that of charged dilatonic black holes. We also comment on non-extreme solutions corresponding to expanding bubbles. |
hep-th/0103226 | Akira Kokado | Akira Kokado, Gaku Konisi and Takesi Saito | Interaction between Noncommutative Open String and Closed-String Tachyon | LaTeX 2e, 10 pages | Prog.Theor.Phys. 106 (2001) 645-652 | 10.1143/PTP.106.645 | null | hep-th | null | We construct a vertex operator which describes an emission of the
ground-state tachyon of the closed string out of the noncommutative open
string. Such a vertex operator is shown to exist only when the momentum of the
closed-string tachyon is subject to some constraints coming from the background
$B$ field. The vertex operator has a multiplicative coupling constant $g(\sigma
)$ which depends on $\sigma $ as $g(\sigma)=\sin^2 \sigma $ in $0 \le \sigma
\le \pi $. This behavior is the same as in the ordinary B=0 case.
| [
{
"created": "Tue, 27 Mar 2001 14:36:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kokado",
"Akira",
""
],
[
"Konisi",
"Gaku",
""
],
[
"Saito",
"Takesi",
""
]
] | We construct a vertex operator which describes an emission of the ground-state tachyon of the closed string out of the noncommutative open string. Such a vertex operator is shown to exist only when the momentum of the closed-string tachyon is subject to some constraints coming from the background $B$ field. The vertex operator has a multiplicative coupling constant $g(\sigma )$ which depends on $\sigma $ as $g(\sigma)=\sin^2 \sigma $ in $0 \le \sigma \le \pi $. This behavior is the same as in the ordinary B=0 case. |
1007.4163 | Gianni Tallarita | Gianni Tallarita, Steven Thomas | Maxwell-Chern-Simons Vortices and Holographic Superconductors | 17 pages, 5 figures, version accepted for publication in JHEP | JHEP 1012:090,2010 | 10.1007/JHEP12(2010)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate probe limit vortex solutions of a charged scalar field in
Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS
Schwarzschild black hole metric with the addition of an axionic coupling to the
Maxwell field. We show that the inclusion of such a term, together with a
suitable potential for the axion field, can induce an effective Chern-Simons
term on the 2+1 dimensional boundary. We obtain numerical solutions of the
equations of motion and find Maxwell-Chern-Simons like magnetic vortex
configurations, where the magnetic field profile varies with the size of the
effective Chern-Simons coupling. The axion field has a non-trivial profile
inside the AdS bulk but does not condense at spatial infinity.
| [
{
"created": "Fri, 23 Jul 2010 15:53:57 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2010 11:13:28 GMT",
"version": "v2"
}
] | 2011-01-05 | [
[
"Tallarita",
"Gianni",
""
],
[
"Thomas",
"Steven",
""
]
] | We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We show that the inclusion of such a term, together with a suitable potential for the axion field, can induce an effective Chern-Simons term on the 2+1 dimensional boundary. We obtain numerical solutions of the equations of motion and find Maxwell-Chern-Simons like magnetic vortex configurations, where the magnetic field profile varies with the size of the effective Chern-Simons coupling. The axion field has a non-trivial profile inside the AdS bulk but does not condense at spatial infinity. |
hep-th/9608009 | Folkert Mueller-Hoissen | A. Dimakis and F. Mueller-Hoissen (Goettingen) | Soliton equations and the zero curvature condition in noncommutative
geometry | Latex, 10 pages | J.Phys.A29:7279-7286,1996 | 10.1088/0305-4470/29/22/022 | GOET-TP 111/96 | hep-th nlin.SI solv-int | null | Familiar nonlinear and in particular soliton equations arise as zero
curvature conditions for GL(1,R) connections with noncommutative differential
calculi. The Burgers equation is formulated in this way and the Cole-Hopf
transformation for it attains the interpretation of a transformation of the
connection to a pure gauge in this mathematical framework. The KdV, modified
KdV equation and the Miura transformation are obtained jointly in a similar
setting and a rather straightforward generalization leads to the KP and a
modified KP equation.
Furthermore, a differential calculus associated with the Boussinesq equation
is derived from the KP calculus.
| [
{
"created": "Thu, 1 Aug 1996 21:37:06 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Dimakis",
"A.",
"",
"Goettingen"
],
[
"Mueller-Hoissen",
"F.",
"",
"Goettingen"
]
] | Familiar nonlinear and in particular soliton equations arise as zero curvature conditions for GL(1,R) connections with noncommutative differential calculi. The Burgers equation is formulated in this way and the Cole-Hopf transformation for it attains the interpretation of a transformation of the connection to a pure gauge in this mathematical framework. The KdV, modified KdV equation and the Miura transformation are obtained jointly in a similar setting and a rather straightforward generalization leads to the KP and a modified KP equation. Furthermore, a differential calculus associated with the Boussinesq equation is derived from the KP calculus. |
1804.08374 | Matthieu Tissier | Gonzalo De Polsi, Matthieu Tissier, Nicol\'as Wschebor | Exact critical exponents for vector operators in the 3d Ising model and
conformal invariance | 6 pages, new section dealing with redundant operators | null | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is widely expected that the realization of scale invariance in the
critical regime implies conformal invariance for a large class of systems. This
is known to be true if there exist no integrated operator which transforms like
a vector under rotations and which has scaling dimension $-1$. In this article
we give exact expressions for the critical exponents of some of these vector
operators. In particular, we show that one operator has scaling dimension
exactly 3 in any space dimension. This operator turns out be the leading
operator at least in $d=2$ and $d=4$. Moreover, we prove that the operator
previously considered in Monte-Carlo simulations has also scaling dimension
exactly $3$ in any dimension.
| [
{
"created": "Mon, 23 Apr 2018 12:45:21 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2018 18:43:41 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Apr 2019 13:51:59 GMT",
"version": "v3"
}
] | 2019-04-19 | [
[
"De Polsi",
"Gonzalo",
""
],
[
"Tissier",
"Matthieu",
""
],
[
"Wschebor",
"Nicolás",
""
]
] | It is widely expected that the realization of scale invariance in the critical regime implies conformal invariance for a large class of systems. This is known to be true if there exist no integrated operator which transforms like a vector under rotations and which has scaling dimension $-1$. In this article we give exact expressions for the critical exponents of some of these vector operators. In particular, we show that one operator has scaling dimension exactly 3 in any space dimension. This operator turns out be the leading operator at least in $d=2$ and $d=4$. Moreover, we prove that the operator previously considered in Monte-Carlo simulations has also scaling dimension exactly $3$ in any dimension. |
2001.11145 | Niklas Mueller | Niklas Mueller, Andrey Tarasov, Raju Venugopalan | Computing real time correlation functions on a hybrid classical/quantum
computer | Conference Proceedings XXVIIIth International Conference on
Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019), 4 pages, no
figures | null | 10.1016/j.nuclphysa.2020.121889 | null | hep-th hep-ph nucl-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum devices may overcome limitations of classical computers in studies of
nuclear structure functions and parton Wigner distributions of protons and
nuclei. In this talk, we discuss a worldline approach to compute nuclear
structure functions in the high energy Regge limit of QCD using a hybrid
quantum computer, by expressing the fermion determinant in the QCD path
integral as a quantum mechanical path integral over $0+1$-dimensional fermionic
and bosonic world-lines in background gauge fields. Our simplest example of
computing the well-known dipole model result for the structure function $F_2$
in the high energy Regge limit is feasible with NISQ era technology using few
qubits and shallow circuits. This example can be scaled up in complexity and
extended in scope to compute structure functions, scattering amplitudes and
other real-time correlation functions in QCD, relevant for example to describe
non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma.
| [
{
"created": "Thu, 30 Jan 2020 01:43:21 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Mueller",
"Niklas",
""
],
[
"Tarasov",
"Andrey",
""
],
[
"Venugopalan",
"Raju",
""
]
] | Quantum devices may overcome limitations of classical computers in studies of nuclear structure functions and parton Wigner distributions of protons and nuclei. In this talk, we discuss a worldline approach to compute nuclear structure functions in the high energy Regge limit of QCD using a hybrid quantum computer, by expressing the fermion determinant in the QCD path integral as a quantum mechanical path integral over $0+1$-dimensional fermionic and bosonic world-lines in background gauge fields. Our simplest example of computing the well-known dipole model result for the structure function $F_2$ in the high energy Regge limit is feasible with NISQ era technology using few qubits and shallow circuits. This example can be scaled up in complexity and extended in scope to compute structure functions, scattering amplitudes and other real-time correlation functions in QCD, relevant for example to describe non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma. |
hep-th/0301164 | Yuji Sugawara | Tohru Eguchi, Yuji Sugawara and Satoshi Yamaguchi | Supercoset CFT's for String Theories on Non-compact Special Holonomy
Manifolds | 60 pages, no figure, 2 tables; v2 typos corrected | Nucl.Phys. B657 (2003) 3-52 | 10.1016/S0550-3213(03)00148-2 | UT-03-02 | hep-th | null | We study aspects of superstring vacua of non-compact special holonomy
manifolds with conical singularities constructed systematically using soluble N
= 1 superconformal field theories (SCFT's). It is known that Einstein
homogeneous spaces G/H generate Ricci flat manifolds with special holonomies on
their cones R_+ x G/H, when they are endowed with appropriate geometrical
structures, namely, the Sasaki-Einstein, tri-Sasakian, nearly Kahler, and weak
G_2 structures for SU(n), Sp(n), G_2, and Spin(7) holonomies, respectively.
Motivated by this fact, we consider the string vacua of the type: R^{d-1,1} x
(N = 1 Liouville) x (N=1 supercoset CFT on G/H) where we use the affine Lie
algebras of G and H in order to capture the geometry associated to an Einstein
homogeneous space G/H. Remarkably, we find the same number of spacetime and
worldsheet SUSY's in our ``CFT cone'' construction as expected from the
analysis of geometrical cones over G/H in many examples. We also present an
analysis on the possible Liouville potential terms (cosmological constant type
operators) which provide the marginal deformations resolving the conical
singularities.
| [
{
"created": "Wed, 22 Jan 2003 05:03:53 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jan 2003 07:34:53 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Eguchi",
"Tohru",
""
],
[
"Sugawara",
"Yuji",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] | We study aspects of superstring vacua of non-compact special holonomy manifolds with conical singularities constructed systematically using soluble N = 1 superconformal field theories (SCFT's). It is known that Einstein homogeneous spaces G/H generate Ricci flat manifolds with special holonomies on their cones R_+ x G/H, when they are endowed with appropriate geometrical structures, namely, the Sasaki-Einstein, tri-Sasakian, nearly Kahler, and weak G_2 structures for SU(n), Sp(n), G_2, and Spin(7) holonomies, respectively. Motivated by this fact, we consider the string vacua of the type: R^{d-1,1} x (N = 1 Liouville) x (N=1 supercoset CFT on G/H) where we use the affine Lie algebras of G and H in order to capture the geometry associated to an Einstein homogeneous space G/H. Remarkably, we find the same number of spacetime and worldsheet SUSY's in our ``CFT cone'' construction as expected from the analysis of geometrical cones over G/H in many examples. We also present an analysis on the possible Liouville potential terms (cosmological constant type operators) which provide the marginal deformations resolving the conical singularities. |
hep-th/0007191 | Matthew J. Strassler | Igor R. Klebanov (Princeton) and Matthew J. Strassler (IAS) | Supergravity and a Confining Gauge Theory: Duality Cascades and
$\chi$SB-Resolution of Naked Singularities | 38 pages; v2: Discussion of screening effects for N/M noninteger
added to Secs. 4, 5. v3: Minor corrections to v2 changes (Sec. 5.2) v4
Additional comments about (2,1) forms, references added | JHEP 0008:052,2000 | 10.1088/1126-6708/2000/08/052 | PUPT-1944, IASSNS-HEP-00/56 | hep-th hep-ph | null | We revisit the singular IIB supergravity solution describing M fractional
3-branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we
explain by showing that the relevant \NN=1 SUSY SU(N+M)xSU(N) gauge theory
undergoes repeated Seiberg-duality transformations in which N -> N-M. Far in
the IR the gauge theory confines; its chiral symmetry breaking removes the
singularity of hep-th/0002159 by deforming the conifold. We propose a
non-singular pure-supergravity background dual to the field theory on all
scales, with small curvature everywhere if the `t Hooft coupling g_s M is
large. In the UV it approaches that of hep-th/0002159, incorporating the
logarithmic flow of couplings. In the IR the deformation of the conifold gives
a geometrical realization of chiral symmetry breaking and confinement. We
suggest that pure \NN=1 Yang-Mills may be dual to strings propagating at small
g_s M on a warped deformed conifold. We note also that the standard model
itself may lie at the base of a duality cascade.
| [
{
"created": "Mon, 24 Jul 2000 20:46:16 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jul 2000 16:26:49 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Aug 2000 16:57:27 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Sep 2000 02:53:13 GMT",
"version": "v4"
}
] | 2011-05-05 | [
[
"Klebanov",
"Igor R.",
"",
"Princeton"
],
[
"Strassler",
"Matthew J.",
"",
"IAS"
]
] | We revisit the singular IIB supergravity solution describing M fractional 3-branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we explain by showing that the relevant \NN=1 SUSY SU(N+M)xSU(N) gauge theory undergoes repeated Seiberg-duality transformations in which N -> N-M. Far in the IR the gauge theory confines; its chiral symmetry breaking removes the singularity of hep-th/0002159 by deforming the conifold. We propose a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the `t Hooft coupling g_s M is large. In the UV it approaches that of hep-th/0002159, incorporating the logarithmic flow of couplings. In the IR the deformation of the conifold gives a geometrical realization of chiral symmetry breaking and confinement. We suggest that pure \NN=1 Yang-Mills may be dual to strings propagating at small g_s M on a warped deformed conifold. We note also that the standard model itself may lie at the base of a duality cascade. |
hep-th/9705175 | Moshe Rozali | Micha Berkooz and Moshe Rozali | String Dualities from Matrix Theory | Harvmac, 14 pages, no figures | Nucl.Phys. B516 (1998) 229-240 | 10.1016/S0550-3213(97)00814-6 | RU-97-37, UTTG-16-97 | hep-th | null | We suggest that the (2,0) six dimensional field theory compactified on
$S^1\times K3$ is the Matrix model description of both M-theory on $K3$ and the
Heterotic string on $T^3$. This proposal is different from existing proposals
for the Heterotic theory. Different limits of the base space geometry give the
different space-time interpretations, making M-theory/Heterotic duality
manifest. We also present partial results on Heterotic/F-theory duality.
| [
{
"created": "Thu, 22 May 1997 21:22:18 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Berkooz",
"Micha",
""
],
[
"Rozali",
"Moshe",
""
]
] | We suggest that the (2,0) six dimensional field theory compactified on $S^1\times K3$ is the Matrix model description of both M-theory on $K3$ and the Heterotic string on $T^3$. This proposal is different from existing proposals for the Heterotic theory. Different limits of the base space geometry give the different space-time interpretations, making M-theory/Heterotic duality manifest. We also present partial results on Heterotic/F-theory duality. |
1002.3556 | Christof Wetterich | C.Wetterich | Spinors in euclidean field theory, complex structures and discrete
symmetries | extended version, detailed discussion of four-dimensional euclidean
Majorana spinors, extended descripton of complex structures, discussion of
chemical potential for euclidean fermions and reality of action, 70 pages | null | 10.1016/j.nuclphysb.2011.06.013 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss fermions for arbitrary dimensions and signature of the metric,
with special emphasis on euclidean space. Generalized Majorana spinors are
defined for $d=2,3,4,8,9$ mod 8, independently of the signature. These objects
permit a consistent analytic continuation of Majorana spinors in Min-kowski
space to euclidean signature. Compatibility of charge conjugation with complex
conjugation requires for euclidean signature a new complex structure which
involves a reflection in euclidean time. The possible complex structures for
Minkowski and euclidean signature can be understood in terms of a modulo two
periodicity in the signature. The concepts of a real action and hermitean
observables depend on the choice of the complex structure. For a real action
the expectation values of all hermitean multi-fermion observables are real.
This holds for arbitrary signature, including euclidean space. In particular, a
chemical potential is compatible with a real action for the euclidean theory.
We also discuss the discrete symmetries of parity, time reversal and charge
conjugation for arbitrary dimension and signature.
| [
{
"created": "Thu, 18 Feb 2010 16:07:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2011 11:11:29 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Wetterich",
"C.",
""
]
] | We discuss fermions for arbitrary dimensions and signature of the metric, with special emphasis on euclidean space. Generalized Majorana spinors are defined for $d=2,3,4,8,9$ mod 8, independently of the signature. These objects permit a consistent analytic continuation of Majorana spinors in Min-kowski space to euclidean signature. Compatibility of charge conjugation with complex conjugation requires for euclidean signature a new complex structure which involves a reflection in euclidean time. The possible complex structures for Minkowski and euclidean signature can be understood in terms of a modulo two periodicity in the signature. The concepts of a real action and hermitean observables depend on the choice of the complex structure. For a real action the expectation values of all hermitean multi-fermion observables are real. This holds for arbitrary signature, including euclidean space. In particular, a chemical potential is compatible with a real action for the euclidean theory. We also discuss the discrete symmetries of parity, time reversal and charge conjugation for arbitrary dimension and signature. |
hep-th/0108022 | Jorge Gamboa | O. Espinosa, J. Gamboa, S. Lepe and F. Mendez | Nonrelativistic Fermions in Magnetic Fields: a Quantum Field Theory
Approach | typos corrected | Phys.Lett. B520 (2001) 421-426 | 10.1016/S0370-2693(01)01141-8 | null | hep-th | null | The statistical mechanics of nonrelativistic fermions in a constant magnetic
field is considered from the quantum field theory point of view. The fermionic
determinant is computed using a general procedure that contains all possible
regularizations. The nonrelativistic grand-potential can be expressed in terms
polylogarithm functions, whereas the partition function in 2+1 dimensions and
vanishing chemical potential can be compactly written in terms of the Dedekind
eta function. The strong and weak magnetic fields limits are easily studied in
the latter case by using the duality properties of the Dedekind function.
| [
{
"created": "Sat, 4 Aug 2001 16:01:39 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Aug 2001 18:27:35 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Aug 2001 16:16:58 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Espinosa",
"O.",
""
],
[
"Gamboa",
"J.",
""
],
[
"Lepe",
"S.",
""
],
[
"Mendez",
"F.",
""
]
] | The statistical mechanics of nonrelativistic fermions in a constant magnetic field is considered from the quantum field theory point of view. The fermionic determinant is computed using a general procedure that contains all possible regularizations. The nonrelativistic grand-potential can be expressed in terms polylogarithm functions, whereas the partition function in 2+1 dimensions and vanishing chemical potential can be compactly written in terms of the Dedekind eta function. The strong and weak magnetic fields limits are easily studied in the latter case by using the duality properties of the Dedekind function. |
hep-th/0208045 | Lahouari Mesref | L. Mesref | The Jordanian Bicovariant Differential Calculus | 8 pages | null | null | null | hep-th | null | We show that the Woronowicz prescription using a bimodule constructed out of
a tensorial product of a bimodule and its conjugate and a bi-coinvariant
singlet leads to a trivial differential calculus.
| [
{
"created": "Tue, 6 Aug 2002 11:35:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mesref",
"L.",
""
]
] | We show that the Woronowicz prescription using a bimodule constructed out of a tensorial product of a bimodule and its conjugate and a bi-coinvariant singlet leads to a trivial differential calculus. |
2206.10195 | Kazunori Takenaga | Makoto Sakamoto, Kazunori Takenaga | Non-analytic Term in Effective Potential at Finite Temperature for
Scalar Field on Compactified Space | 29 pages, no figures | null | 10.1103/PhysRevD.106.065018 | KOBE-TH-22-02 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study non-analytic terms, which cannot be written in the form of any
positive integer power of field-dependent mass squared, in effective potential
at finite temperature in one-loop approximation for a real scalar field on the
$D$-dimensional space-time, $S_{\tau}^1\times
R^{D-(p+1)}\times\prod_{i=1}^pS_i^1$. The effective potential can be recast
into the integral form in the complex plane by using the integral
representation for the modified Bessel function of the second kind and the
analytical extension for multiple mode summations. The pole structure of the
mode summations is clarified and all the non-analytic terms are obtained by the
residue theorem. We find that the effective potential has a non-analytic term
when the dimension of the flat Euclidean space, $D-(p+1)$ is odd. There appears
only one non-analytic term for the given values of $D$ and $p$, for which the
non-analytic term exists.
| [
{
"created": "Tue, 21 Jun 2022 08:53:32 GMT",
"version": "v1"
}
] | 2022-10-05 | [
[
"Sakamoto",
"Makoto",
""
],
[
"Takenaga",
"Kazunori",
""
]
] | We study non-analytic terms, which cannot be written in the form of any positive integer power of field-dependent mass squared, in effective potential at finite temperature in one-loop approximation for a real scalar field on the $D$-dimensional space-time, $S_{\tau}^1\times R^{D-(p+1)}\times\prod_{i=1}^pS_i^1$. The effective potential can be recast into the integral form in the complex plane by using the integral representation for the modified Bessel function of the second kind and the analytical extension for multiple mode summations. The pole structure of the mode summations is clarified and all the non-analytic terms are obtained by the residue theorem. We find that the effective potential has a non-analytic term when the dimension of the flat Euclidean space, $D-(p+1)$ is odd. There appears only one non-analytic term for the given values of $D$ and $p$, for which the non-analytic term exists. |
1506.06753 | Tom Rudelius | Jonathan J. Heckman and Tom Rudelius | Evidence for C-theorems in 6D SCFTs | v2: 25 pages, 9 figures, typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the recently established classification of 6D SCFTs we present evidence
for the existence of families of weak C-functions, that is, quantities which
decrease in a flow from the UV to the IR. Introducing a background R-symmetry
field strength R and a non-trivial tangent bundle T on the 6D spacetime, we
consider C-functions given by the linear combinations C = m1 alpha + m2 beta +
m3 gamma, where alpha, beta and gamma are the anomaly polynomial coefficients
for the formal characteristic classes c2(R)^2, c2(R)p1(T) and p1(T)^2. By
performing a detailed sweep over many theories, we determine the shape of the
unbounded monotonic region in "m-space" compatible with both Higgs branch flows
and tensor branch flows. We also verify that --as expected-- the Euler density
conformal anomaly falls in the admissible region.
| [
{
"created": "Mon, 22 Jun 2015 20:00:34 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2015 00:41:26 GMT",
"version": "v2"
}
] | 2015-08-12 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Rudelius",
"Tom",
""
]
] | Using the recently established classification of 6D SCFTs we present evidence for the existence of families of weak C-functions, that is, quantities which decrease in a flow from the UV to the IR. Introducing a background R-symmetry field strength R and a non-trivial tangent bundle T on the 6D spacetime, we consider C-functions given by the linear combinations C = m1 alpha + m2 beta + m3 gamma, where alpha, beta and gamma are the anomaly polynomial coefficients for the formal characteristic classes c2(R)^2, c2(R)p1(T) and p1(T)^2. By performing a detailed sweep over many theories, we determine the shape of the unbounded monotonic region in "m-space" compatible with both Higgs branch flows and tensor branch flows. We also verify that --as expected-- the Euler density conformal anomaly falls in the admissible region. |
hep-th/0210082 | V. Dmitrasinovic | Issei Nakamura and V. Dmitrasinovic | Linear Sigma model in the Gaussian wave functional approximation II:
Analyticity of the S-matrix and the effective potential/action | 14 pages, 4 ps figures, to appear in Nucl. Phys | Nucl.Phys.A713:133-147,2003 | 10.1016/S0375-9474(02)01293-9 | null | hep-th | null | We show an explicit connection between the solution to the equations of
motion in the Gaussian functional approximation and the minimum of the
(Gaussian) effective potential/action of the linear $\Sigma$ model, as well as
with the N/D method in dispersion theory. The resulting equations contain
analytic functions with branch cuts in the complex mass squared plane.
Therefore the minimum of the effective action may lie in the complex mass
squared plane. Many solutions to these equations can be found on the second,
third, etc. Riemann sheets of the equation, though their physical
interpretation is not clear. Our results and the established properties of the
S-matrix in general, and of the N/D solutions in particular, guide us to the
correct choice of the Riemann sheet. We count the number of states and find
only one in each spin-parity and isospin channel with quantum numbers
corresponding to the fields in the Lagrangian, i.e. to Castillejo-Dalitz-Dyson
(CDD) poles. We examine the numerical solutions in both the strong and weak
coupling regimes and calculate the Kallen-Lehmann spectral densities and then
use them for physical interpretation.
| [
{
"created": "Wed, 9 Oct 2002 06:58:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nakamura",
"Issei",
""
],
[
"Dmitrasinovic",
"V.",
""
]
] | We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation and the minimum of the (Gaussian) effective potential/action of the linear $\Sigma$ model, as well as with the N/D method in dispersion theory. The resulting equations contain analytic functions with branch cuts in the complex mass squared plane. Therefore the minimum of the effective action may lie in the complex mass squared plane. Many solutions to these equations can be found on the second, third, etc. Riemann sheets of the equation, though their physical interpretation is not clear. Our results and the established properties of the S-matrix in general, and of the N/D solutions in particular, guide us to the correct choice of the Riemann sheet. We count the number of states and find only one in each spin-parity and isospin channel with quantum numbers corresponding to the fields in the Lagrangian, i.e. to Castillejo-Dalitz-Dyson (CDD) poles. We examine the numerical solutions in both the strong and weak coupling regimes and calculate the Kallen-Lehmann spectral densities and then use them for physical interpretation. |
1907.00584 | Dibakar Roychowdhury | Dibakar Roychowdhury | Nonrelativistic pulsating strings | Latex, 13 pages, Version to Appear In JHEP | JHEP 1909(2019)002 | 10.1007/JHEP09(2019)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore nonrelativistic (NR) pulsating string configurations over torsion
Newton-Cartan (TNC) geometry having topology $ R \times S^2 $ and check the
corresponding analytic integrability criteria following Kovacic's algorithm. In
the first part we consider pulsating strings propagating over TNC geometry
whose world-sheet theory is described by relativistic CFTs. We compute
conserved charges associated with the $ 2D $ sigma model and show that the
classical phase space corresponding to these NR pulsating string configurations
is Liouvillian integrable. Finally, we consider nonrelativisitc scaling
associated with the world-sheet d.o.f. and show that the corresponding string
configuration allows even simpler integrable structure.
| [
{
"created": "Mon, 1 Jul 2019 07:45:41 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2019 03:57:00 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology $ R \times S^2 $ and check the corresponding analytic integrability criteria following Kovacic's algorithm. In the first part we consider pulsating strings propagating over TNC geometry whose world-sheet theory is described by relativistic CFTs. We compute conserved charges associated with the $ 2D $ sigma model and show that the classical phase space corresponding to these NR pulsating string configurations is Liouvillian integrable. Finally, we consider nonrelativisitc scaling associated with the world-sheet d.o.f. and show that the corresponding string configuration allows even simpler integrable structure. |
hep-th/0005154 | S. D. Joglekar | Satish D. Joglekar (I.I.T.Kanpur INDIA) | Connecting Green's Functions in an Arbitrary Pair of Gauges and an
Application to Planar Gauges | 19 pages | Int.J.Mod.Phys. A16 (2001) 5043-5060 | 10.1142/S0217751X01005651 | IITK/Phy/2000/7 | hep-th hep-ph | null | We establish a finite field-dependent BRS transformation that connects the
Yang-Mills path-integrals with Faddeev-Popov effective actions for an arbitrary
pair of gauges F and F'. We establish a result that relates an arbitrary
Green's function [either a primary one or one that of an operator] in an
arbitrary gauge F' to those in gauge F that are compatible to the ones in gauge
F by its construction [in that the construction preserves expectation values of
gauge-invariant observables]. We establish parallel results also for the planar
gauge-Lorentz gauge connection.
| [
{
"created": "Wed, 17 May 2000 12:43:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Joglekar",
"Satish D.",
"",
"I.I.T.Kanpur INDIA"
]
] | We establish a finite field-dependent BRS transformation that connects the Yang-Mills path-integrals with Faddeev-Popov effective actions for an arbitrary pair of gauges F and F'. We establish a result that relates an arbitrary Green's function [either a primary one or one that of an operator] in an arbitrary gauge F' to those in gauge F that are compatible to the ones in gauge F by its construction [in that the construction preserves expectation values of gauge-invariant observables]. We establish parallel results also for the planar gauge-Lorentz gauge connection. |
1501.00290 | Anisur Rahaman | Anisur Rahaman | Chiral Thirring-Wess model with Faddeevian Regularization | 9 pages latex, submitted to Ann. Phys | Annals Phys. 354 (2015) 511-521 | 10.1016/j.aop.2015.01.021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Replacing vector type of interaction of the Thirring-Wess model by the chiral
type a new model is presented which is termed here as chiral Thirring-Wess
model. Ambiguity parameters of regularization is so chosen that the model falls
into the Faddeevian class.
The resulting Faddeevian class of model in general do not possess Lorentz
invariance. However we can exploit the arbitrariness admissible in the
ambiguity parameters to relate the quantum mechanically generated ambiguity
parameters with the classical parameter involved in the masslike term of the
gauge field which helps to maintain physical Lorentz invariance instead of the
absence of manifestly lorentz covariance of the model. The the phase space
structure and the theoretical spectrum of this class of model has been
determined through Dirac's method of quantization of constraint system.
| [
{
"created": "Thu, 1 Jan 2015 17:04:38 GMT",
"version": "v1"
}
] | 2015-02-26 | [
[
"Rahaman",
"Anisur",
""
]
] | Replacing vector type of interaction of the Thirring-Wess model by the chiral type a new model is presented which is termed here as chiral Thirring-Wess model. Ambiguity parameters of regularization is so chosen that the model falls into the Faddeevian class. The resulting Faddeevian class of model in general do not possess Lorentz invariance. However we can exploit the arbitrariness admissible in the ambiguity parameters to relate the quantum mechanically generated ambiguity parameters with the classical parameter involved in the masslike term of the gauge field which helps to maintain physical Lorentz invariance instead of the absence of manifestly lorentz covariance of the model. The the phase space structure and the theoretical spectrum of this class of model has been determined through Dirac's method of quantization of constraint system. |
2108.03189 | Martin Aria Mojahed Mr | Martin A. Mojahed, Tomas Brauner | On-Shell Recursion Relations for Nonrelativistic Effective Field
Theories | 7 pages; v2: matches version published in PLB plus an additional
reference | Phys.Lett.B 822 (2021) 136705 | 10.1016/j.physletb.2021.136705 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive on-shell recursion relations for nonrelativistic effective field
theories (EFTs) with enhanced soft limits. The recursion relations are
illustrated through analytic calculation of tree-level scattering amplitudes in
theories with a complex Schr\"odinger-type field, real scalar with linear
dispersion relation, and real scalar with Lifshitz-type dispersion relation.
Our results show that the landscape of gapless nonrelativistic EFTs with local
$S$-matrix can be constrained by soft theorems and the consistency of the
low-energy $S$-matrix similarly to massless relativistic EFTs.
| [
{
"created": "Fri, 6 Aug 2021 16:10:09 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2022 13:26:25 GMT",
"version": "v2"
}
] | 2022-01-07 | [
[
"Mojahed",
"Martin A.",
""
],
[
"Brauner",
"Tomas",
""
]
] | We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with a complex Schr\"odinger-type field, real scalar with linear dispersion relation, and real scalar with Lifshitz-type dispersion relation. Our results show that the landscape of gapless nonrelativistic EFTs with local $S$-matrix can be constrained by soft theorems and the consistency of the low-energy $S$-matrix similarly to massless relativistic EFTs. |
hep-th/0212108 | Kin-ya Oda | Daisuke Ida, Kin-ya Oda, and Seong Chan Park | Rotating black holes at future colliders: Greybody factors for brane
fields | Typo in basic equation corrected; Following calculations and results
unchanged | Phys.Rev.D67:064025,2003; Erratum-ibid.D69:049901,2004 | 10.1103/PhysRevD.67.064025 10.1103/PhysRevD.69.049901 | null | hep-th gr-qc hep-ph | null | We study theoretical aspects of the rotating black hole production and
evaporation in the extra dimension scenarios with TeV scale gravity, within the
mass range in which the higher dimensional Kerr solution provides good
description. We evaluate the production cross section of black holes taking
their angular momenta into account. We find that it becomes larger than the
Schwarzschild radius squared, which is conventionally utilized in literature,
and our result nicely agrees with the recent numerical study by Yoshino and
Nambu within a few percent error for higher dimensional case. In the same
approximation to obtain the above result, we find that the production cross
section becomes larger for the black hole with larger angular momentum. Second,
we derive the generalized Teukolsky equation for spin 0, 1/2 and 1 brane fields
in the higher dimensional Kerr geometry and explicitly show that it is
separable in any dimensions. For five-dimensional (Randall-Sundrum) black hole,
we obtain analytic formulae for the greybody factors in low frequency expansion
and we present the power spectra of the Hawking radiation as well as their
angular dependence. Phenomenological implications of our result are briefly
sketched.
| [
{
"created": "Tue, 10 Dec 2002 14:58:02 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2002 16:03:31 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Feb 2003 16:07:09 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Sep 2003 12:52:09 GMT",
"version": "v4"
}
] | 2014-11-18 | [
[
"Ida",
"Daisuke",
""
],
[
"Oda",
"Kin-ya",
""
],
[
"Park",
"Seong Chan",
""
]
] | We study theoretical aspects of the rotating black hole production and evaporation in the extra dimension scenarios with TeV scale gravity, within the mass range in which the higher dimensional Kerr solution provides good description. We evaluate the production cross section of black holes taking their angular momenta into account. We find that it becomes larger than the Schwarzschild radius squared, which is conventionally utilized in literature, and our result nicely agrees with the recent numerical study by Yoshino and Nambu within a few percent error for higher dimensional case. In the same approximation to obtain the above result, we find that the production cross section becomes larger for the black hole with larger angular momentum. Second, we derive the generalized Teukolsky equation for spin 0, 1/2 and 1 brane fields in the higher dimensional Kerr geometry and explicitly show that it is separable in any dimensions. For five-dimensional (Randall-Sundrum) black hole, we obtain analytic formulae for the greybody factors in low frequency expansion and we present the power spectra of the Hawking radiation as well as their angular dependence. Phenomenological implications of our result are briefly sketched. |
0912.4699 | Alexander Quintero Velez | Nils Carqueville, Alexander Quintero Velez | Remarks on quiver gauge theories from open topological string theory | 26 pages; v2: references added, exposition improved, example
expanded; v3: minor changes; v4: small changes, corrected a mistake in
example, all results are unaffected | JHEP 1003:129,2010 | 10.1007/JHEP03(2010)129 | LMU-ASC 60/09 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study effective quiver gauge theories arising from a stack of D3-branes on
certain Calabi-Yau singularities. Our point of view is a first principle
approach via open topological string theory. This means that we construct the
natural A-infinity-structure of open string amplitudes in the associated
D-brane category. Then we show that it precisely reproduces the results of the
method of brane tilings, without having to resort to any effective field theory
computations. In particular, we prove a general and simple formula for
effective superpotentials.
| [
{
"created": "Wed, 23 Dec 2009 17:37:00 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2010 14:20:17 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Apr 2010 07:11:44 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Mar 2012 16:19:19 GMT",
"version": "v4"
}
] | 2012-03-13 | [
[
"Carqueville",
"Nils",
""
],
[
"Velez",
"Alexander Quintero",
""
]
] | We study effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities. Our point of view is a first principle approach via open topological string theory. This means that we construct the natural A-infinity-structure of open string amplitudes in the associated D-brane category. Then we show that it precisely reproduces the results of the method of brane tilings, without having to resort to any effective field theory computations. In particular, we prove a general and simple formula for effective superpotentials. |
2306.08503 | Andrew Svesko | Rafael Carrasco, Juan F. Pedraza, Andrew Svesko and Zachary
Weller-Davies | Gravitation from optimized computation: Einstein and beyond | 34 pages (+ Appendices), 2 figures; v2 minor edits, JHEP version | null | null | IFT-UAM/CSIC-23-71 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new principle in quantum gravity, dubbed spacetime complexity, states that
gravitational physics emerges from spacetime seeking to optimize the
computational cost of its quantum dynamics. Thus far, this principle has been
realized at the linearized level, in holographic theories with Einstein gravity
duals, assuming the so-called 'Complexity-Volume' (CV) proposal. We expand on
this proof in two significant directions. First, we derive higher-derivative
gravitational equations by including appropriate corrections to the CV
dictionary. Second, we show semi-classical equations arise by considering the
leading bulk quantum corrections to CV. Our proof is valid for two-dimensional
dilaton gravities, where the problem of semi-classical backreaction can be
solved exactly. However, we argue the principle should hold more generally,
leading us to a concrete proposal for bulk complexity of perturbative excited
states in arbitrary dimensions. Our results demonstrate the robustness of
spacetime complexity as a guiding principle to understand gravity in terms of
quantum computation.
| [
{
"created": "Wed, 14 Jun 2023 13:38:09 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 2023 08:12:28 GMT",
"version": "v2"
}
] | 2023-09-29 | [
[
"Carrasco",
"Rafael",
""
],
[
"Pedraza",
"Juan F.",
""
],
[
"Svesko",
"Andrew",
""
],
[
"Weller-Davies",
"Zachary",
""
]
] | A new principle in quantum gravity, dubbed spacetime complexity, states that gravitational physics emerges from spacetime seeking to optimize the computational cost of its quantum dynamics. Thus far, this principle has been realized at the linearized level, in holographic theories with Einstein gravity duals, assuming the so-called 'Complexity-Volume' (CV) proposal. We expand on this proof in two significant directions. First, we derive higher-derivative gravitational equations by including appropriate corrections to the CV dictionary. Second, we show semi-classical equations arise by considering the leading bulk quantum corrections to CV. Our proof is valid for two-dimensional dilaton gravities, where the problem of semi-classical backreaction can be solved exactly. However, we argue the principle should hold more generally, leading us to a concrete proposal for bulk complexity of perturbative excited states in arbitrary dimensions. Our results demonstrate the robustness of spacetime complexity as a guiding principle to understand gravity in terms of quantum computation. |
hep-th/0010059 | Dirk Kreimer | Dirk Kreimer | Combinatorics of (perturbative) quantum field theory | 47p, to appear in a special volume of Phys. Reports dedicated to the
Renormalization Group | Phys.Rept. 363 (2002) 387-424 | 10.1016/S0370-1573(01)00099-0 | MZ-TH/00-42 | hep-th hep-ph math-ph math.MP math.QA | null | We review the structures imposed on perturbative QFT by the fact that its
Feynman diagrams provide Hopf and Lie algebras. We emphasize the role which the
Hopf algebra plays in renormalization by providing the forest formulas. We
exhibit how the associated Lie algebra originates from an operadic operation of
graph insertions. Particular emphasis is given to the connection with the
Riemann--Hilbert problem. Finally, we outline how these structures relate to
the numbers which we see in Feynman diagrams.
| [
{
"created": "Mon, 9 Oct 2000 19:56:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kreimer",
"Dirk",
""
]
] | We review the structures imposed on perturbative QFT by the fact that its Feynman diagrams provide Hopf and Lie algebras. We emphasize the role which the Hopf algebra plays in renormalization by providing the forest formulas. We exhibit how the associated Lie algebra originates from an operadic operation of graph insertions. Particular emphasis is given to the connection with the Riemann--Hilbert problem. Finally, we outline how these structures relate to the numbers which we see in Feynman diagrams. |
1602.05675 | Robert de Mello Koch | Nicholas Bornman, Robert de Mello Koch and Laila Tribelhorn | Rotating Restricted Schur Polynomials | 22+1 pages | null | 10.1142/S0217751X17501500 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Large $N$ but non-planar limits of ${\cal N}=4$ super Yang-Mills theory can
be described using restricted Schur polynomials. Previous investigations
demonstrate that the action of the one loop dilatation operator on restricted
Schur operators, with classical dimension of order $N$ and belonging to the
$su(2)$ sector, is largely determined by the $su(2)$ ${\cal R}$ symmetry
algebra as well as structural features of perturbative field theory. Studies
presented so far have used the form of ${\cal R}$ symmetry generators when
acting on small perturbations of half-BPS operators. In this article, as a
first step towards going beyond small perturbations of the half-BPS operators,
we explain how the exact action of symmetry generators on restricted Schur
polynomials can be determined.
| [
{
"created": "Thu, 18 Feb 2016 04:04:17 GMT",
"version": "v1"
}
] | 2017-10-11 | [
[
"Bornman",
"Nicholas",
""
],
[
"Koch",
"Robert de Mello",
""
],
[
"Tribelhorn",
"Laila",
""
]
] | Large $N$ but non-planar limits of ${\cal N}=4$ super Yang-Mills theory can be described using restricted Schur polynomials. Previous investigations demonstrate that the action of the one loop dilatation operator on restricted Schur operators, with classical dimension of order $N$ and belonging to the $su(2)$ sector, is largely determined by the $su(2)$ ${\cal R}$ symmetry algebra as well as structural features of perturbative field theory. Studies presented so far have used the form of ${\cal R}$ symmetry generators when acting on small perturbations of half-BPS operators. In this article, as a first step towards going beyond small perturbations of the half-BPS operators, we explain how the exact action of symmetry generators on restricted Schur polynomials can be determined. |
1508.04807 | Hai Siong Tan | H. S. Tan | T-duality Twists and Asymmetric Orbifolds | 67 pages. v2: references added and typos corrected | JHEP 1511:141,2015 | 10.1007/JHEP11(2015)141 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study some aspects of asymmetric orbifolds of tori, with the orbifold
group being some $\mathbb{Z}_N$ subgroup of the T-duality group and, in
particular, provide a concrete understanding of certain phase factors that may
accompany the T-duality operation on the stringy Hilbert space in toroidal
compactification. We discuss how these T-duality twist phase factors are
related to the symmetry and locality properties of the closed string vertex
operator algebra, and clarify the role that they enact in the modular
covariance of the orbifold theory, mainly using asymmetric orbifolds of tori
which are root lattices as working examples.
| [
{
"created": "Wed, 19 Aug 2015 21:50:07 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2015 14:29:54 GMT",
"version": "v2"
}
] | 2015-11-24 | [
[
"Tan",
"H. S.",
""
]
] | We study some aspects of asymmetric orbifolds of tori, with the orbifold group being some $\mathbb{Z}_N$ subgroup of the T-duality group and, in particular, provide a concrete understanding of certain phase factors that may accompany the T-duality operation on the stringy Hilbert space in toroidal compactification. We discuss how these T-duality twist phase factors are related to the symmetry and locality properties of the closed string vertex operator algebra, and clarify the role that they enact in the modular covariance of the orbifold theory, mainly using asymmetric orbifolds of tori which are root lattices as working examples. |
1407.7256 | Marco Ornigotti Dr. | Marco Ornigotti and Andrea Aiello | The Faddeev-Popov Method Demystified | Minor typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss how to implement the Legendre transform using the Faddeev-Popov
method of Quantum Field Theory. By doing this, we provide an alternate way to
understand the essence of the Faddeev-Popov method, using only concepts that
are very familiar to the students (such as the Legendre transform), and without
needing any reference to Quantum Field Theory. Two examples of Legendre
transform calculated with the Faddeev-Popov method are given to better clarify
the point.
| [
{
"created": "Sun, 27 Jul 2014 17:03:14 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2014 08:59:24 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Aug 2014 10:12:55 GMT",
"version": "v3"
}
] | 2014-08-06 | [
[
"Ornigotti",
"Marco",
""
],
[
"Aiello",
"Andrea",
""
]
] | We discuss how to implement the Legendre transform using the Faddeev-Popov method of Quantum Field Theory. By doing this, we provide an alternate way to understand the essence of the Faddeev-Popov method, using only concepts that are very familiar to the students (such as the Legendre transform), and without needing any reference to Quantum Field Theory. Two examples of Legendre transform calculated with the Faddeev-Popov method are given to better clarify the point. |
0806.1534 | Sergei Dubovsky | Sergei Dubovsky, Sergey Sibiryakov | Superluminal Travel Made Possible (in two dimensions) | 33 pages, 13 figures | JHEP 0812:092,2008 | 10.1088/1126-6708/2008/12/092 | CERN-PH-TH/2008-121 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that superluminal signal propagation is possible in consistent
Poincare invariant quantum field theories in two space-time dimensions,
provided spatial parity is broken. This happens due to existence of the
``instantaneous'' causal structure, with one of the light cone variables being
a global time. In two dimensions this causal structure is invariant under the
Poincare group if one gives up the spatial parity. As a non-trivial example of
a consistent interacting quantum field theory with this causal structure we
discuss a non-linear SO(1,1) sigma-model, where SO(1,1) is the Lorentz
symmetry. We show that this theory is asymptotically free and argue that this
model is also well defined non-perturbatively, at least for some values of
parameters. It provides an example of a microscopic Poincare invariant quantum
field theory with local action, but non-local physical properties. Being
coupled to gravity this ``instantaneous'' theory mixes with the Liouville
field. If proves to be consistent, the resulting model can be used to construct
(non-critical) string theories with very unconventional properties by
introducing the instantaneous causal structure on the world-sheet.
| [
{
"created": "Tue, 10 Jun 2008 14:39:53 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Aug 2008 02:38:45 GMT",
"version": "v2"
}
] | 2009-01-16 | [
[
"Dubovsky",
"Sergei",
""
],
[
"Sibiryakov",
"Sergey",
""
]
] | We argue that superluminal signal propagation is possible in consistent Poincare invariant quantum field theories in two space-time dimensions, provided spatial parity is broken. This happens due to existence of the ``instantaneous'' causal structure, with one of the light cone variables being a global time. In two dimensions this causal structure is invariant under the Poincare group if one gives up the spatial parity. As a non-trivial example of a consistent interacting quantum field theory with this causal structure we discuss a non-linear SO(1,1) sigma-model, where SO(1,1) is the Lorentz symmetry. We show that this theory is asymptotically free and argue that this model is also well defined non-perturbatively, at least for some values of parameters. It provides an example of a microscopic Poincare invariant quantum field theory with local action, but non-local physical properties. Being coupled to gravity this ``instantaneous'' theory mixes with the Liouville field. If proves to be consistent, the resulting model can be used to construct (non-critical) string theories with very unconventional properties by introducing the instantaneous causal structure on the world-sheet. |
hep-th/0702173 | Richard Szabo | Gerald A. Goldin, Nick E. Mavromatos and Richard J. Szabo | Worldsheet Instantons and a Null String Limit of Born-Infeld Theory | 11 pages; Comments and references added | Eur.Phys.J.C53:667-672,2008 | 10.1140/epjc/s10052-007-0474-5 | HWM-07-2, EMPG-07-02 | hep-th | null | For a superstring theory in four spacetime dimensions, we propose a
modification of the Born-Infeld action that possesses a well-defined
tensionless limit. We interpret this as describing the effective target space
dynamics of null strings on a D3-brane. We argue that such a modification can
be induced by nonperturbative contributions from instantons in the worldsheet
sigma-model describing string propagation on the brane.
| [
{
"created": "Wed, 21 Feb 2007 12:11:20 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2007 11:06:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Goldin",
"Gerald A.",
""
],
[
"Mavromatos",
"Nick E.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | For a superstring theory in four spacetime dimensions, we propose a modification of the Born-Infeld action that possesses a well-defined tensionless limit. We interpret this as describing the effective target space dynamics of null strings on a D3-brane. We argue that such a modification can be induced by nonperturbative contributions from instantons in the worldsheet sigma-model describing string propagation on the brane. |
1711.02789 | Shlomo S. Razamat | Shlomo S. Razamat, Orr Sela, Gabi Zafrir | Between symmetry and duality in supersymmetric QFT | four pages, four figures | Phys. Rev. Lett. 120, 071604 (2018) | 10.1103/PhysRevLett.120.071604 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two cases of interrelations between enhancement of symmetries in the
infra red (IR) and duality properties of supersymmetric quantum field theories
in four dimensions. First we discuss an SU(2) N=1 model with four flavors,
singlet fields, and a superpotential. We show that this model flows to a
conformal field theory with E_6\times U(1) global symmetry. The enhancement of
the flavor symmetry follows from Seiberg duality. The second example is
concerned with an SU(4) gauge theory with matter in the fundamental and
antisymmetric representations. We argue that this model has enhanced SO(12)
symmetry in the IR, and then guided by this enhancement, we deduce a new IR
duality.
| [
{
"created": "Wed, 8 Nov 2017 01:20:23 GMT",
"version": "v1"
}
] | 2018-02-21 | [
[
"Razamat",
"Shlomo S.",
""
],
[
"Sela",
"Orr",
""
],
[
"Zafrir",
"Gabi",
""
]
] | We study two cases of interrelations between enhancement of symmetries in the infra red (IR) and duality properties of supersymmetric quantum field theories in four dimensions. First we discuss an SU(2) N=1 model with four flavors, singlet fields, and a superpotential. We show that this model flows to a conformal field theory with E_6\times U(1) global symmetry. The enhancement of the flavor symmetry follows from Seiberg duality. The second example is concerned with an SU(4) gauge theory with matter in the fundamental and antisymmetric representations. We argue that this model has enhanced SO(12) symmetry in the IR, and then guided by this enhancement, we deduce a new IR duality. |
2211.00339 | Badis Ydri | Badis Ydri | The QM/NCG Correspondence | To be published in Particles, Fields and Topology: Celebrating A.P.
Balachandran, a Festschrift volume for A.P. Balachandran. arXiv admin note:
text overlap with arXiv:2109.01010, arXiv:2109.00380 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The correspondence between quantum mechanics and noncommutative geometry is
illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm
CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum
mechanics. This model is conjectured to describe the gauge/gravity
correspondence in one dimension. Applications to quantum black holes and
emergent geometry/gravity are also discussed.
| [
{
"created": "Tue, 1 Nov 2022 09:15:35 GMT",
"version": "v1"
}
] | 2022-11-02 | [
[
"Ydri",
"Badis",
""
]
] | The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum mechanics. This model is conjectured to describe the gauge/gravity correspondence in one dimension. Applications to quantum black holes and emergent geometry/gravity are also discussed. |
2110.08675 | Saad Tail | Saad Tail | Sudden appearance of a thick Dirichlet wall in a cavity | 9 pages, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We investigate the vacuum properties of a massless scalar field theory in
constrained spatial geometry, namely, the instantaneous appearance of a thick
Dirichlet boundary inside a one-dimensional (1D) Dirichlet cavity and divides
it into two parts. Our work presents the calculations for the energy density
and particle number density created. The expression of the energy density is
found to be dependent on the size nature of the appearing wall, more precisely,
it depends on whether the length of the wall is rational or irrational.
| [
{
"created": "Sat, 16 Oct 2021 22:33:48 GMT",
"version": "v1"
}
] | 2021-10-19 | [
[
"Tail",
"Saad",
""
]
] | We investigate the vacuum properties of a massless scalar field theory in constrained spatial geometry, namely, the instantaneous appearance of a thick Dirichlet boundary inside a one-dimensional (1D) Dirichlet cavity and divides it into two parts. Our work presents the calculations for the energy density and particle number density created. The expression of the energy density is found to be dependent on the size nature of the appearing wall, more precisely, it depends on whether the length of the wall is rational or irrational. |
hep-th/9704141 | Sabbir A. Rahman | Sabbir Rahman | Consistency of Quantum Background Independence | 23 pages, phyzzx | null | null | MIT-CTP-2626 | hep-th | null | We analyse higher order background independence conditions arising from
multiple commutators of background deformations in quantum closed string field
theory. The conditions are shown to amount to a vanishing theorem for
$\Delta_S$ cohomology classes. This holds by virtue of the existence of moduli
spaces of higher genus surfaces with two kinds of punctures. Our result is a
generalisation of a previous genus zero analysis relevant to the classical
theory.
| [
{
"created": "Sat, 19 Apr 1997 23:21:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rahman",
"Sabbir",
""
]
] | We analyse higher order background independence conditions arising from multiple commutators of background deformations in quantum closed string field theory. The conditions are shown to amount to a vanishing theorem for $\Delta_S$ cohomology classes. This holds by virtue of the existence of moduli spaces of higher genus surfaces with two kinds of punctures. Our result is a generalisation of a previous genus zero analysis relevant to the classical theory. |
hep-th/0210231 | Emil J. Martinec | Emil J. Martinec | Defects, Decay, and Dissipated States | 45 pages, 21 figures; lectures at Cargese (June 2002). v2: typos
corrected, references added | null | null | null | hep-th | null | The worldsheet renormalization group approach to tachyon condensation in
string theory is reviewed. The open string case is summarized with examples,
and closed string tachyon condensation on nonsupersymmetric orbifolds is
examined in detail. The idea that the renormalization group dissipates the
localized states associated to the defect is explored.
| [
{
"created": "Wed, 23 Oct 2002 17:48:54 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2002 21:40:12 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Nov 2002 18:02:38 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Martinec",
"Emil J.",
""
]
] | The worldsheet renormalization group approach to tachyon condensation in string theory is reviewed. The open string case is summarized with examples, and closed string tachyon condensation on nonsupersymmetric orbifolds is examined in detail. The idea that the renormalization group dissipates the localized states associated to the defect is explored. |
hep-th/0012051 | Tomas Ortin Miguel | Ernesto Lozano-Tellechea and Tomas Ortin (IFT-UAM/CSIC) | 7-Branes and Higher Kaluza-Klein Branes | A few misprints corrected | Nucl.Phys. B607 (2001) 213-236 | 10.1016/S0550-3213(01)00177-8 | IFT-UAM/CSIC-00-25 | hep-th | null | We present and study a new chain of 10-d T duality related solutions and
their 11-d parents whose existence had been predicted in the literature based
in U duality requirements in 4 d. The first link is the S dual of the D7-brane.
The next link has 6 spatial worldvolume dimensions, it is charged w.r.t. the RR
7-form but depends only on 2 transverse dimensions since the third has to be
compactified in a circle and is isometric and hence is similar in this respect
to the KK monopole. The next link has 5 spatial worldvolume dimensions, it is
charged w.r.t. the RR 6-form but depends only on 2 transverse dimensions since
the 3rd and 4th have to be compactified in circles and are isometric and so on.
All these solutions are identical when reduced over the p spatial worldvolume
dimensions and preserve a 1/2 on the supersymmetries. Their masses depend on
the square of the radii of the isometric directions, just as for the KK
monopole. We give a general map of these branes and their duality relations and
show how they must appear in the supersymmetry algebra.
| [
{
"created": "Thu, 7 Dec 2000 02:09:54 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2000 21:49:45 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lozano-Tellechea",
"Ernesto",
"",
"IFT-UAM/CSIC"
],
[
"Ortin",
"Tomas",
"",
"IFT-UAM/CSIC"
]
] | We present and study a new chain of 10-d T duality related solutions and their 11-d parents whose existence had been predicted in the literature based in U duality requirements in 4 d. The first link is the S dual of the D7-brane. The next link has 6 spatial worldvolume dimensions, it is charged w.r.t. the RR 7-form but depends only on 2 transverse dimensions since the third has to be compactified in a circle and is isometric and hence is similar in this respect to the KK monopole. The next link has 5 spatial worldvolume dimensions, it is charged w.r.t. the RR 6-form but depends only on 2 transverse dimensions since the 3rd and 4th have to be compactified in circles and are isometric and so on. All these solutions are identical when reduced over the p spatial worldvolume dimensions and preserve a 1/2 on the supersymmetries. Their masses depend on the square of the radii of the isometric directions, just as for the KK monopole. We give a general map of these branes and their duality relations and show how they must appear in the supersymmetry algebra. |
0803.1591 | Petr M. Lavrov | M. Asorey and P.M. Lavrov | Fedosov and Riemannian supermanifolds | 20 pages | J.Math.Phys.50:013530,2009 | 10.1063/1.3054867 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generalizations of symplectic and metric structures for supermanifolds are
analyzed. Two types of structures are possible according to the even/odd
character of the corresponding quadratic tensors. In the even case one has a
very rich set of geometric structures: even symplectic supermanifolds (or,
equivalently, supermanifolds with non-degenerate Poisson structures), even
Fedosov supermanifolds and even Riemannian supermanifolds. The existence of
relations among those structures is analyzed in some details. In the odd case,
we show that odd Riemannian and Fedosov supermanifolds are characterized by a
scalar curvature tensor. However, odd Riemannian supermanifolds can only have
constant curvature.
| [
{
"created": "Tue, 11 Mar 2008 14:05:12 GMT",
"version": "v1"
}
] | 2009-02-10 | [
[
"Asorey",
"M.",
""
],
[
"Lavrov",
"P. M.",
""
]
] | Generalizations of symplectic and metric structures for supermanifolds are analyzed. Two types of structures are possible according to the even/odd character of the corresponding quadratic tensors. In the even case one has a very rich set of geometric structures: even symplectic supermanifolds (or, equivalently, supermanifolds with non-degenerate Poisson structures), even Fedosov supermanifolds and even Riemannian supermanifolds. The existence of relations among those structures is analyzed in some details. In the odd case, we show that odd Riemannian and Fedosov supermanifolds are characterized by a scalar curvature tensor. However, odd Riemannian supermanifolds can only have constant curvature. |
1103.4287 | Burak Tevfik Kaynak | Burak Tevfik Kaynak | Quantum Effective Action in Odd Dimensions and Zeta-Function
Regularization | 12 pages, typos corrected, a mistyped equation corrected, references
added, a new section added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we mainly study the one-loop effective action for real scalar
theories in non-homogeneous backgrounds in odd dimensions. It is shown that
through the method studied in Ref. [1], it is possible to obtain a unified
result for the one-loop correction to the Euclidean effective action in 2+1
dimensions. Our result simplifies into the ones given in the literature
calculated via different techniques based on some assumptions of field and its
derivative. The one-loop correction is obtained in (2n+1)-dimensional Euclidean
space-times, as well. Moreover, its generic behavior is discussed for
non-homogeneous backgrounds. Afterwards, the structure of the divergence for
scalar field theories at one-loop is discussed by studying the one-loop
correction in 2n-dimensional Euclidean space-times. The beta function of the
O(N)-invariant nonlinear sigma-model in d=2+1 is calculated at leading order in
the 1/N expansion without using the epsilon-expansion method.
| [
{
"created": "Tue, 22 Mar 2011 15:13:20 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2011 10:08:00 GMT",
"version": "v2"
}
] | 2011-04-06 | [
[
"Kaynak",
"Burak Tevfik",
""
]
] | In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for the one-loop correction to the Euclidean effective action in 2+1 dimensions. Our result simplifies into the ones given in the literature calculated via different techniques based on some assumptions of field and its derivative. The one-loop correction is obtained in (2n+1)-dimensional Euclidean space-times, as well. Moreover, its generic behavior is discussed for non-homogeneous backgrounds. Afterwards, the structure of the divergence for scalar field theories at one-loop is discussed by studying the one-loop correction in 2n-dimensional Euclidean space-times. The beta function of the O(N)-invariant nonlinear sigma-model in d=2+1 is calculated at leading order in the 1/N expansion without using the epsilon-expansion method. |
1907.00733 | Antonia Micol Frassino | Antonia Micol Frassino, Orlando Panella | Quantization of nonlocal fractional field theories via the extension
problem | 28 pages, no figures | Phys. Rev. D 100, 116008 (2019) | 10.1103/PhysRevD.100.116008 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the extension problem proposed by Caffarelli and Silvestre to study
the quantization of a scalar nonlocal quantum field theory built out of the
fractional Laplacian. We show that the quantum behavior of such a nonlocal
field theory in $d$-dimensions can be described in terms of a local action in
$d+1$ dimensions which can be quantized using the canonical operator formalism
though giving up local commutativity. In particular, we discuss how to obtain
the two-point correlation functions and the vacuum energy density of the
nonlocal fractional theory as a brane limit of the bulk correlators. We show
explicitly how the quantized extension problem reproduces exactly the same
particle content of other approaches based on the spectral representation of
the fractional propagator. We also briefly discuss the inverse fractional
Laplacian and possible applications of this approach in general relativity and
cosmology.
| [
{
"created": "Thu, 27 Jun 2019 18:00:04 GMT",
"version": "v1"
}
] | 2019-12-18 | [
[
"Frassino",
"Antonia Micol",
""
],
[
"Panella",
"Orlando",
""
]
] | We use the extension problem proposed by Caffarelli and Silvestre to study the quantization of a scalar nonlocal quantum field theory built out of the fractional Laplacian. We show that the quantum behavior of such a nonlocal field theory in $d$-dimensions can be described in terms of a local action in $d+1$ dimensions which can be quantized using the canonical operator formalism though giving up local commutativity. In particular, we discuss how to obtain the two-point correlation functions and the vacuum energy density of the nonlocal fractional theory as a brane limit of the bulk correlators. We show explicitly how the quantized extension problem reproduces exactly the same particle content of other approaches based on the spectral representation of the fractional propagator. We also briefly discuss the inverse fractional Laplacian and possible applications of this approach in general relativity and cosmology. |
hep-th/9401106 | j Kubo | Jisuke Kubo | An analysis on the convergence of equal-time commutators and the closure
of the BRST algebra in Yang-Mills theories | 35 pages | Nucl.Phys. B427 (1994) 398-424 | 10.1016/0550-3213(94)90282-8 | MPI-PhT/94-01 and KANAZAWA-94-01 | hep-th | null | In renormalizable theories, we define equal-time commutators (ETC'S) in terms
of the equal-time limit and investigate its convergence in perturbation theory.
We find that the equal-time limit vanishes for amplitudes with the effective
dimension $d_{\em eff} \leq -2$ and is finite for those with $d_{\em eff} =-1$
but without nontrivial discontinuity. Otherwise we expect divergent equal-time
limits. We also find that, if the ETC's involved in verifying an Jacobi
identity exist, the identity is satisfied.
Under these circumstances, we show in the Yang-Mills theory that the ETC of
the $0$ component of the BRST current with each other vanishes to all orders in
perturbation theory if the theory is free from the chiral anomaly, from which
we conclude that $[\, Q\,,\,Q\,]=0$, where $Q$ is the BRST charge. For the case
that the chiral anomaly is not canceled, we use various broken Ward identities
to show that $[\, Q\,,\,Q\,]$ is finite and $[\,Q\,,\,[\, Q\,,\,Q]\,]$ vanishes
at the one-loop level and that they start to diverge at the two-loop level
unless there is some unexpected cancellation mechanism that improves the degree
of convergence.
| [
{
"created": "Fri, 21 Jan 1994 15:21:38 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kubo",
"Jisuke",
""
]
] | In renormalizable theories, we define equal-time commutators (ETC'S) in terms of the equal-time limit and investigate its convergence in perturbation theory. We find that the equal-time limit vanishes for amplitudes with the effective dimension $d_{\em eff} \leq -2$ and is finite for those with $d_{\em eff} =-1$ but without nontrivial discontinuity. Otherwise we expect divergent equal-time limits. We also find that, if the ETC's involved in verifying an Jacobi identity exist, the identity is satisfied. Under these circumstances, we show in the Yang-Mills theory that the ETC of the $0$ component of the BRST current with each other vanishes to all orders in perturbation theory if the theory is free from the chiral anomaly, from which we conclude that $[\, Q\,,\,Q\,]=0$, where $Q$ is the BRST charge. For the case that the chiral anomaly is not canceled, we use various broken Ward identities to show that $[\, Q\,,\,Q\,]$ is finite and $[\,Q\,,\,[\, Q\,,\,Q]\,]$ vanishes at the one-loop level and that they start to diverge at the two-loop level unless there is some unexpected cancellation mechanism that improves the degree of convergence. |
1810.08992 | Tamara Kohler | Tamara Kohler and Toby Cubitt | Toy Models of Holographic Duality between local Hamiltonians | 46 + 14 pages. v2: extended discussion. v3: extended introduction to
make proof overview & main results more accessible, minor typos fixed | J. High Energy Phys. 2019:17 (2019) | 10.1007/JHEP08(2019)017 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holographic quantum error correcting codes (HQECC) have been proposed as toy
models for the AdS/CFT correspondence, and exhibit many of the features of the
duality. HQECC give a mapping of states and observables. However, they do not
map local bulk Hamiltonians to local Hamiltonians on the boundary. In this
work, we combine HQECC with Hamiltonian simulation theory to construct a
bulk-boundary mapping between local Hamiltonians, whilst retaining all the
features of the HQECC duality. This allows us to construct a duality between
models, encompassing the relationship between bulk and boundary energy scales
and time dynamics. It also allows us to construct a map in the reverse
direction: from local boundary Hamiltonians to the corresponding local
Hamiltonian in the bulk. Under this boundary-to-bulk mapping, the bulk geometry
emerges as an approximate, low-energy, effective theory living in the
code-space of an (approximate) HQECC on the boundary. At higher energy scales,
this emergent bulk geometry is modified in a way that matches the toy models of
black holes proposed previously for HQECC. Moreover, the duality on the level
of dynamics shows how these toy-model black holes can form dynamically.
| [
{
"created": "Sun, 21 Oct 2018 17:34:49 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2019 13:10:11 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jul 2019 10:01:19 GMT",
"version": "v3"
}
] | 2019-10-07 | [
[
"Kohler",
"Tamara",
""
],
[
"Cubitt",
"Toby",
""
]
] | Holographic quantum error correcting codes (HQECC) have been proposed as toy models for the AdS/CFT correspondence, and exhibit many of the features of the duality. HQECC give a mapping of states and observables. However, they do not map local bulk Hamiltonians to local Hamiltonians on the boundary. In this work, we combine HQECC with Hamiltonian simulation theory to construct a bulk-boundary mapping between local Hamiltonians, whilst retaining all the features of the HQECC duality. This allows us to construct a duality between models, encompassing the relationship between bulk and boundary energy scales and time dynamics. It also allows us to construct a map in the reverse direction: from local boundary Hamiltonians to the corresponding local Hamiltonian in the bulk. Under this boundary-to-bulk mapping, the bulk geometry emerges as an approximate, low-energy, effective theory living in the code-space of an (approximate) HQECC on the boundary. At higher energy scales, this emergent bulk geometry is modified in a way that matches the toy models of black holes proposed previously for HQECC. Moreover, the duality on the level of dynamics shows how these toy-model black holes can form dynamically. |
hep-th/9610036 | M. Libanov | M.V. Libanov | Multiparticle Threshold Amplitudes Exponentiate in Arbitrary Scalar
Theories | 9 pages, latex, 3 latex figures | Mod.Phys.Lett. A11 (1996) 2539-2546 | 10.1142/S021773239600254X | INR-ST-8-96 | hep-th | null | Threshold amplitudes are considered for $n$-particle production in arbitrary
scalar theory. It is found that, like in $\phi ^4$, leading-$n$ corrections to
the tree level amplitudes, being summed over all loops, exponentiate. This
result provides more evidence in favor of the conjecture on the exponential
behavior of the multiparticle amplitudes.
| [
{
"created": "Mon, 7 Oct 1996 13:18:25 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Libanov",
"M. V.",
""
]
] | Threshold amplitudes are considered for $n$-particle production in arbitrary scalar theory. It is found that, like in $\phi ^4$, leading-$n$ corrections to the tree level amplitudes, being summed over all loops, exponentiate. This result provides more evidence in favor of the conjecture on the exponential behavior of the multiparticle amplitudes. |
hep-th/0604028 | B. Chandrasekhar | B. Chandrasekhar | Born-Infeld Corrections to the Entropy Function of Heterotic Black Holes | 17 pages;v2:minor changes,added refs | Braz.J.Phys.37:349-357,2007 | 10.1590/S0103-97332007000300005 | IPM/P-2006/003, IP/BBSR/2006-1 | hep-th | null | We use the black hole entropy function to study the effect of Born-Infeld
terms on the entropy of extremal black holes in heterotic string theory in four
dimensions. We find that after adding a set of higher curvature terms to the
effective action, attractor mechanism works and Born-Infeld terms contribute to
the stretching of near horizon geometry. In the alpha'--> 0 limit, the
solutions of attractor equations for moduli fields and the resulting entropy,
are in conformity with the ones for standard two charge black holes.
| [
{
"created": "Wed, 5 Apr 2006 19:08:31 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 2006 18:15:43 GMT",
"version": "v2"
}
] | 2011-08-04 | [
[
"Chandrasekhar",
"B.",
""
]
] | We use the black hole entropy function to study the effect of Born-Infeld terms on the entropy of extremal black holes in heterotic string theory in four dimensions. We find that after adding a set of higher curvature terms to the effective action, attractor mechanism works and Born-Infeld terms contribute to the stretching of near horizon geometry. In the alpha'--> 0 limit, the solutions of attractor equations for moduli fields and the resulting entropy, are in conformity with the ones for standard two charge black holes. |
hep-th/0103213 | Igor Vlasenko | Yuri Malyuta | D-branes and twisted K-theory | 11 pages, LATEX | null | null | null | hep-th | null | Topological charges of the $D6$-brane in the presence of a Neveu-Schwarz
B-field are computed by methods of twisted $K$-theory.
| [
{
"created": "Mon, 26 Mar 2001 10:38:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Malyuta",
"Yuri",
""
]
] | Topological charges of the $D6$-brane in the presence of a Neveu-Schwarz B-field are computed by methods of twisted $K$-theory. |
2407.19742 | Ryodai Kawaguchi | Ryodai Kawaguchi, Shinji Tsujikawa, and Yusuke Yamada | Proving the absence of large one-loop corrections to the power spectrum
of curvature perturbations in transient ultra-slow-roll inflation within the
path-integral approach | 46 pages, 11 figures | null | null | WUCG-24-07 | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We revisit one-loop corrections to the power spectrum of curvature
perturbations $\zeta$ in an inflationary scenario containing a transient
ultra-slow-roll (USR) period. In Ref.[1], it was argued that one-loop
corrections to the power spectrum of $\zeta$ can be larger than the tree-level
one within the parameter region generating the seeds of primordial black holes
during the USR epoch, which implies the breakdown of perturbation theory. We
prove that this is not the case by using a master formula for one-loop
corrections to the power spectrum obtained in Ref.[2]. We derive the same
formula within the path-integral formalism, which is simpler than the original
derivation in [2]. To show the smallness of one-loop corrections, the
consistency relations and the effective constancy of tree-level mode functions
of $\zeta$ for super-Hubble modes play essential roles, with which the master
formula gives a simple expression for one-loop corrections. For concreteness,
we provide a reduced set of interactions including the leading-order one, while
establishing the consistency relations in a self-consistent manner. We also
show how the consistency relations of various operators hold explicitly, which
plays a key role in proving the absence of large one-loop corrections.
| [
{
"created": "Mon, 29 Jul 2024 07:09:10 GMT",
"version": "v1"
}
] | 2024-07-30 | [
[
"Kawaguchi",
"Ryodai",
""
],
[
"Tsujikawa",
"Shinji",
""
],
[
"Yamada",
"Yusuke",
""
]
] | We revisit one-loop corrections to the power spectrum of curvature perturbations $\zeta$ in an inflationary scenario containing a transient ultra-slow-roll (USR) period. In Ref.[1], it was argued that one-loop corrections to the power spectrum of $\zeta$ can be larger than the tree-level one within the parameter region generating the seeds of primordial black holes during the USR epoch, which implies the breakdown of perturbation theory. We prove that this is not the case by using a master formula for one-loop corrections to the power spectrum obtained in Ref.[2]. We derive the same formula within the path-integral formalism, which is simpler than the original derivation in [2]. To show the smallness of one-loop corrections, the consistency relations and the effective constancy of tree-level mode functions of $\zeta$ for super-Hubble modes play essential roles, with which the master formula gives a simple expression for one-loop corrections. For concreteness, we provide a reduced set of interactions including the leading-order one, while establishing the consistency relations in a self-consistent manner. We also show how the consistency relations of various operators hold explicitly, which plays a key role in proving the absence of large one-loop corrections. |
1510.08090 | Krzysztof Pilch | Krzysztof Pilch, Alexander Tyukov and Nicholas P. Warner | $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged
Supergravity to M Theory | 57 pages, 4 figures | null | 10.1007/JHEP05(2016)005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a family of SU(3)$\times$U(1)$\times$U(1)-invariant
holographic flows and Janus solutions obtained from gauged $\mathcal{N}=8$
supergravity in four dimensions. We give complete details of how to use the
uplift formulae to obtain the corresponding solutions in M theory. While the
flow solutions appear to be singular from the four-dimensional perspective, we
find that the eleven-dimensional solutions are much better behaved and give
rise to interesting new classes of compactification geometries that are smooth,
up to orbifolds, in the infra-red limit. Our solutions involve new phases in
which M2 branes polarize partially or even completely into M5 branes. We derive
the eleven-dimensional supersymmetries and show that the eleven-dimensional
equations of motion and BPS equations are indeed satisfied as a consequence of
their four-dimensional counterparts. Apart from elucidating a whole new class
of eleven-dimensional Janus and flow solutions, our work provides extensive and
highly non-trivial tests of the recently-derived uplift formulae.
| [
{
"created": "Tue, 27 Oct 2015 20:38:35 GMT",
"version": "v1"
}
] | 2016-05-25 | [
[
"Pilch",
"Krzysztof",
""
],
[
"Tyukov",
"Alexander",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We investigate a family of SU(3)$\times$U(1)$\times$U(1)-invariant holographic flows and Janus solutions obtained from gauged $\mathcal{N}=8$ supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae. |
2202.03378 | Roldao da Rocha | W. Barreto, R. da Rocha | Gravitational collapse in AdS: instabilities, turbulence, and
information | 11 pages, 9 figures | Eur. Phys. J. Plus 137 (2022) 845 | 10.1140/epjp/s13360-022-03048-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational collapse in asymptotically AdS spacetimes is studied, using
the differential configurational entropy (DCE). The DCE is shown to comply with
the instability of the Einstein-Klein-Gordon system, leading to different
stages in the route to turbulence and final black hole formation, including
near the critical behavior.
| [
{
"created": "Mon, 7 Feb 2022 17:50:35 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jul 2022 12:24:20 GMT",
"version": "v2"
}
] | 2022-07-26 | [
[
"Barreto",
"W.",
""
],
[
"da Rocha",
"R.",
""
]
] | The gravitational collapse in asymptotically AdS spacetimes is studied, using the differential configurational entropy (DCE). The DCE is shown to comply with the instability of the Einstein-Klein-Gordon system, leading to different stages in the route to turbulence and final black hole formation, including near the critical behavior. |
2011.08647 | Jan E. Gerken | Jan E. Gerken | Modular Graph Forms and Scattering Amplitudes in String Theory | PhD thesis, 372 pages, Humboldt University Berlin, contains
arXiv:1809.05122, arXiv:1811.02548, arXiv:1911.03476, arXiv:2004.05156 and
arXiv:2007.05476 | null | 10.18452/21829 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we investigate the low-energy expansion of scattering
amplitudes of closed strings at one-loop level (i.e. at genus one) in a
ten-dimensional Minkowski background using a special class of functions called
modular graph forms. These allow for a systematic evaluation of the low-energy
expansion and satisfy many non-trivial algebraic and differential relations. We
study these relations in detail, leading to basis decompositions for a large
number of modular graph forms which greatly reduce the complexity of the
expansions of the integrals appearing in the amplitude. One of the results of
this thesis is a Mathematica package which automatizes these simplifications.
We use these techniques to compute the leading low-energy orders of the
scattering amplitude of four gluons in the heterotic string at one-loop level.
Furthermore, we study a generating function which conjecturally contains the
torus integrals of all perturbative closed-string theories. We write this
generating function in terms of iterated integrals of holomorphic Eisenstein
series and use this approach to arrive at a more rigorous characterization of
the space of modular graph forms than was possible before.
For tree-level string amplitudes, the single-valued map of multiple zeta
values maps open-string amplitudes to closed-string amplitudes. The definition
of a suitable one-loop generalization, a so-called elliptic single-valued map,
is an active area of research and we provide a new perspective on this topic
using our generating function of torus integrals.
The original version of this thesis, as submitted in June 2020 to the
Humboldt University Berlin, is available under the DOI 10.18452/21829. The
present text contains minor updates compared to this version, reflecting
further developments in the literature, in particular concerning the
construction of an elliptic single-valued map.
| [
{
"created": "Tue, 17 Nov 2020 14:13:06 GMT",
"version": "v1"
}
] | 2020-11-18 | [
[
"Gerken",
"Jan E.",
""
]
] | In this thesis, we investigate the low-energy expansion of scattering amplitudes of closed strings at one-loop level (i.e. at genus one) in a ten-dimensional Minkowski background using a special class of functions called modular graph forms. These allow for a systematic evaluation of the low-energy expansion and satisfy many non-trivial algebraic and differential relations. We study these relations in detail, leading to basis decompositions for a large number of modular graph forms which greatly reduce the complexity of the expansions of the integrals appearing in the amplitude. One of the results of this thesis is a Mathematica package which automatizes these simplifications. We use these techniques to compute the leading low-energy orders of the scattering amplitude of four gluons in the heterotic string at one-loop level. Furthermore, we study a generating function which conjecturally contains the torus integrals of all perturbative closed-string theories. We write this generating function in terms of iterated integrals of holomorphic Eisenstein series and use this approach to arrive at a more rigorous characterization of the space of modular graph forms than was possible before. For tree-level string amplitudes, the single-valued map of multiple zeta values maps open-string amplitudes to closed-string amplitudes. The definition of a suitable one-loop generalization, a so-called elliptic single-valued map, is an active area of research and we provide a new perspective on this topic using our generating function of torus integrals. The original version of this thesis, as submitted in June 2020 to the Humboldt University Berlin, is available under the DOI 10.18452/21829. The present text contains minor updates compared to this version, reflecting further developments in the literature, in particular concerning the construction of an elliptic single-valued map. |
0804.2389 | Vladimir Khatsymovsky | V.M. Khatsymovsky | Barbero-Immirzi parameter in Regge calculus | 15 pages, 2 figures, typos corrected, ref added, readability improved | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Regge calculus in the representation in terms of area tensors and
self- and antiselfdual connections generalised to the case of Holst action that
is standard Einstein action in the tetrad-connection variables plus topological
(on equations of motion for connections) term with coefficient $1/\gamma$,
$\gamma$ is Barbero-Immirzi parameter. The quantum measure is shown to
exponentially decrease with areas with typical cut-off scales $4\pi G$ and
$4\pi G\gamma$ in spacelike and timelike regions, respectively ($G$ is the
Newton constant).
| [
{
"created": "Tue, 15 Apr 2008 13:38:24 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2008 16:40:48 GMT",
"version": "v2"
}
] | 2008-04-21 | [
[
"Khatsymovsky",
"V. M.",
""
]
] | We consider Regge calculus in the representation in terms of area tensors and self- and antiselfdual connections generalised to the case of Holst action that is standard Einstein action in the tetrad-connection variables plus topological (on equations of motion for connections) term with coefficient $1/\gamma$, $\gamma$ is Barbero-Immirzi parameter. The quantum measure is shown to exponentially decrease with areas with typical cut-off scales $4\pi G$ and $4\pi G\gamma$ in spacelike and timelike regions, respectively ($G$ is the Newton constant). |
0903.2834 | Miguel Paulos | Robert C. Myers, Miguel F. Paulos, Aninda Sinha | Holographic Hydrodynamics with a Chemical Potential | v2: comparison to supergravity lagrangian added, references added,
typos fixed | JHEP 0906:006,2009 | 10.1088/1126-6708/2009/06/006 | DAMTP-2009-24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider five-dimensional gravity coupled to a negative cosmological
constant and a single U(1) gauge field, including a general set of
four-derivative interactions. In this framework, we construct charged planar
AdS black hole solutions perturbatively and consider the thermal and
hydrodynamic properties of the plasma in the dual CFT. In particular, we
calculate the ratio of shear viscosity to entropy density and argue that the
violation of the KSS bound is enhanced in the presence of a chemical potential.
We also compute the electrical conductivity and comment on various conjectured
bounds related to this coefficient.
| [
{
"created": "Mon, 16 Mar 2009 19:12:23 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Apr 2009 13:08:02 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Myers",
"Robert C.",
""
],
[
"Paulos",
"Miguel F.",
""
],
[
"Sinha",
"Aninda",
""
]
] | We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions perturbatively and consider the thermal and hydrodynamic properties of the plasma in the dual CFT. In particular, we calculate the ratio of shear viscosity to entropy density and argue that the violation of the KSS bound is enhanced in the presence of a chemical potential. We also compute the electrical conductivity and comment on various conjectured bounds related to this coefficient. |
hep-th/9405061 | R. Padma | G. H. Gadiyar | Quantum Optimal Control Theory | (Latex file 9 pages) e-mail : padma@imsc.ernet.in - IITM-TH-94-01 | null | null | null | hep-th | null | The possibility of control of phenomena at microscopic level compatible with
quantum mechanics and quantum field theory is outlined. The theory could be
used in nanotechnology.
| [
{
"created": "Tue, 10 May 1994 14:39:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gadiyar",
"G. H.",
""
]
] | The possibility of control of phenomena at microscopic level compatible with quantum mechanics and quantum field theory is outlined. The theory could be used in nanotechnology. |
2407.08799 | S. Weinzierl | Sebastian P\"ogel, Xing Wang, Stefan Weinzierl, Konglong Wu and
Xiaofeng Xu | Self-dualities and Galois symmetries in Feynman integrals | 40 pages | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well-known that all Feynman integrals within a given family can be
expressed as a finite linear combination of master integrals. The master
integrals naturally group into sectors. Starting from two loops, there can
exist sectors made up of more than one master integral. In this paper we show
that such sectors may have additional symmetries. First of all, self-duality,
which was first observed in Feynman integrals related to Calabi--Yau
geometries, often carries over to non-Calabi--Yau Feynman integrals. Secondly,
we show that in addition there can exist Galois symmetries relating integrals.
In the simplest case of two master integrals within a sector, whose definition
involves a square root $r$, we may choose a basis $(I_1,I_2)$ such that $I_2$
is obtained from $I_1$ by the substitution $r \rightarrow -r$. This pattern
also persists in sectors, which a priori are not related to any square root
with dependence on the kinematic variables. We show in several examples that in
such cases a suitable redefinition of the integrals introduces constant square
roots like $\sqrt{3}$. The new master integrals are then again related by a
Galois symmetry, for example the substitution $\sqrt{3} \rightarrow -\sqrt{3}$.
To handle the case where the argument of a square root would be a perfect
square we introduce a limit Galois symmetry. Both self-duality and Galois
symmetries constrain the differential equation.
| [
{
"created": "Thu, 11 Jul 2024 18:18:23 GMT",
"version": "v1"
}
] | 2024-07-15 | [
[
"Pögel",
"Sebastian",
""
],
[
"Wang",
"Xing",
""
],
[
"Weinzierl",
"Stefan",
""
],
[
"Wu",
"Konglong",
""
],
[
"Xu",
"Xiaofeng",
""
]
] | It is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sectors. Starting from two loops, there can exist sectors made up of more than one master integral. In this paper we show that such sectors may have additional symmetries. First of all, self-duality, which was first observed in Feynman integrals related to Calabi--Yau geometries, often carries over to non-Calabi--Yau Feynman integrals. Secondly, we show that in addition there can exist Galois symmetries relating integrals. In the simplest case of two master integrals within a sector, whose definition involves a square root $r$, we may choose a basis $(I_1,I_2)$ such that $I_2$ is obtained from $I_1$ by the substitution $r \rightarrow -r$. This pattern also persists in sectors, which a priori are not related to any square root with dependence on the kinematic variables. We show in several examples that in such cases a suitable redefinition of the integrals introduces constant square roots like $\sqrt{3}$. The new master integrals are then again related by a Galois symmetry, for example the substitution $\sqrt{3} \rightarrow -\sqrt{3}$. To handle the case where the argument of a square root would be a perfect square we introduce a limit Galois symmetry. Both self-duality and Galois symmetries constrain the differential equation. |
2304.06761 | Arash Ranjbar | Wout Merbis, Turmoli Neogi and Arash Ranjbar | Asymptotic dynamics of three dimensional supergravity and higher spin
gravity revisited | 50 pages | null | 10.1007/JHEP06(2023)121 | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We reconsider the Hamiltonian reduction of the action for three dimensional
AdS supergravity and $W_3$ higher spin AdS gravity in the Chern-Simons
formulation under asymptotically anti-de Sitter boundary conditions. We show
that the reduction gives two copies of chiral bosons on the boundary. In
particular, we take into account the holonomy of the Chern-Simons connection
which manifests itself as zero mode of the momentum of the boundary chiral
boson. We provide an equivalent formulation of the boundary action which we
claim to be the geometric action on symplectic leaves of a (super-)Virasoro or
a higher spin $W_N$ Poisson manifold in the case of supergravity or higher spin
gravity respectively, where the intersection of leaves (given in terms of
leaves representatives) can be identified as the bulk holonomy. This concludes
the extension to non-linear algebras where the notion of coadjoint
representation is not well-defined. The boundary Hamiltonian depends on a
choice of boundary conditions and is equivalent to the Schwarzian action for
corresponding Brown-Henneaux boundary conditions. We make this connection
explicit in the extended supersymmetric case. Moreover, we discuss the
geometric action in the case of $W_3$ AdS$_3$ gravity in both
$\mathfrak{sl}(3)$ highest weight representations based on principal and
diagonal $\mathfrak{sl}(2)$ embeddings.
| [
{
"created": "Thu, 13 Apr 2023 18:04:12 GMT",
"version": "v1"
}
] | 2023-07-12 | [
[
"Merbis",
"Wout",
""
],
[
"Neogi",
"Turmoli",
""
],
[
"Ranjbar",
"Arash",
""
]
] | We reconsider the Hamiltonian reduction of the action for three dimensional AdS supergravity and $W_3$ higher spin AdS gravity in the Chern-Simons formulation under asymptotically anti-de Sitter boundary conditions. We show that the reduction gives two copies of chiral bosons on the boundary. In particular, we take into account the holonomy of the Chern-Simons connection which manifests itself as zero mode of the momentum of the boundary chiral boson. We provide an equivalent formulation of the boundary action which we claim to be the geometric action on symplectic leaves of a (super-)Virasoro or a higher spin $W_N$ Poisson manifold in the case of supergravity or higher spin gravity respectively, where the intersection of leaves (given in terms of leaves representatives) can be identified as the bulk holonomy. This concludes the extension to non-linear algebras where the notion of coadjoint representation is not well-defined. The boundary Hamiltonian depends on a choice of boundary conditions and is equivalent to the Schwarzian action for corresponding Brown-Henneaux boundary conditions. We make this connection explicit in the extended supersymmetric case. Moreover, we discuss the geometric action in the case of $W_3$ AdS$_3$ gravity in both $\mathfrak{sl}(3)$ highest weight representations based on principal and diagonal $\mathfrak{sl}(2)$ embeddings. |
1902.10039 | Junsei Tokuda | Junsei Tokuda | Extension of positivity bounds to non-local theories: IR obstructions to
Lorentz invariant UV completions | 24 pages, 1 figure. v3: matches published version | null | 10.1007/JHEP05(2019)216 | KUNS-2750 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive positivity bounds on low energy effective field theories which
admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV
completions, by considering 2 to 2 scatterings of Jaffe fields whose
Lehmann-K\"{a}ll\'{e}n spectral density can grow exponentially. Several
properties of S-matrix, such as analyticity properties, are assumed in our
derivation. Interestingly, we find that some of the positivity bounds obtained
in the literature, such as sub-leading order forward-limit bounds, must be
satisfied even when UV completions fall into non-localizable theories in
Jaffe's language, unless momentum space Wightman functions grow too rapidly at
high energy. Under this restriction on the growth rate, such bounds may provide
IR obstructions to analytic, unitary, and Lorentz invariant UV completions.
| [
{
"created": "Tue, 26 Feb 2019 16:34:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2019 11:58:30 GMT",
"version": "v2"
},
{
"created": "Tue, 21 May 2019 15:03:45 GMT",
"version": "v3"
}
] | 2019-06-14 | [
[
"Tokuda",
"Junsei",
""
]
] | We derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose Lehmann-K\"{a}ll\'{e}n spectral density can grow exponentially. Several properties of S-matrix, such as analyticity properties, are assumed in our derivation. Interestingly, we find that some of the positivity bounds obtained in the literature, such as sub-leading order forward-limit bounds, must be satisfied even when UV completions fall into non-localizable theories in Jaffe's language, unless momentum space Wightman functions grow too rapidly at high energy. Under this restriction on the growth rate, such bounds may provide IR obstructions to analytic, unitary, and Lorentz invariant UV completions. |
1802.02883 | Stephen A. Fulling | S. A. Fulling, T. E. Settlemyre, K. A. Milton | Renormalization for a Scalar Field in an External Scalar Potential | 19 pages; invited issue of Symmetry on Casimir Interactions | Symmetry 10 (2018) 54 | 10.3390/sym10030054 | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Pauli--Villars regularization procedure confirms and sharpens the
conclusions reached previously by covariant point splitting. The divergences in
the stress tensor of a quantized scalar field interacting with a static scalar
potential are isolated into a three-parameter local, covariant functional of
the background potential. These divergences can be naturally absorbed into
coupling constants of the potential, regarded as a dynamical object in its own
right; here this is demonstrated in detail for two different models of the
field-potential coupling. here is a residual dependence on the logarithm of the
potential, reminiscent of the renormalization group in fully interacting
quantum field theories; these terms are finite but numerically dependent on an
arbitrary mass or length parameter, which is purely a matter of convention.
This work is one step in a program to elucidate boundary divergences by
replacing a sharp boundary by a steeply rising smooth potential.
| [
{
"created": "Mon, 5 Feb 2018 22:10:57 GMT",
"version": "v1"
}
] | 2018-03-07 | [
[
"Fulling",
"S. A.",
""
],
[
"Settlemyre",
"T. E.",
""
],
[
"Milton",
"K. A.",
""
]
] | The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential are isolated into a three-parameter local, covariant functional of the background potential. These divergences can be naturally absorbed into coupling constants of the potential, regarded as a dynamical object in its own right; here this is demonstrated in detail for two different models of the field-potential coupling. here is a residual dependence on the logarithm of the potential, reminiscent of the renormalization group in fully interacting quantum field theories; these terms are finite but numerically dependent on an arbitrary mass or length parameter, which is purely a matter of convention. This work is one step in a program to elucidate boundary divergences by replacing a sharp boundary by a steeply rising smooth potential. |
2108.07280 | Pratik Rath | Chris Akers, Sergio Hern\'andez-Cuenca and Pratik Rath | Quantum Extremal Surfaces and the Holographic Entropy Cone | 21 pages, 4 figures, 1 appendix, citations added in v2 | null | 10.1007/JHEP11(2021)177 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | Quantum states with geometric duals are known to satisfy a stricter set of
entropy inequalities than those obeyed by general quantum systems. The set of
allowed entropies derived using the Ryu-Takayanagi (RT) formula defines the
Holographic Entropy Cone (HEC). These inequalities are no longer satisfied once
general quantum corrections are included by employing the Quantum Extremal
Surface (QES) prescription. Nevertheless, the structure of the QES formula
allows for a controlled study of how quantum contributions from bulk entropies
interplay with HEC inequalities. In this paper, we initiate an exploration of
this problem by relating bulk entropy constraints to boundary entropy
inequalities. In particular, we show that requiring the bulk entropies to
satisfy the HEC implies that the boundary entropies also satisfy the HEC.
Further, we also show that requiring the bulk entropies to obey monogamy of
mutual information (MMI) implies the boundary entropies also obey MMI.
| [
{
"created": "Mon, 16 Aug 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2021 00:17:28 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Akers",
"Chris",
""
],
[
"Hernández-Cuenca",
"Sergio",
""
],
[
"Rath",
"Pratik",
""
]
] | Quantum states with geometric duals are known to satisfy a stricter set of entropy inequalities than those obeyed by general quantum systems. The set of allowed entropies derived using the Ryu-Takayanagi (RT) formula defines the Holographic Entropy Cone (HEC). These inequalities are no longer satisfied once general quantum corrections are included by employing the Quantum Extremal Surface (QES) prescription. Nevertheless, the structure of the QES formula allows for a controlled study of how quantum contributions from bulk entropies interplay with HEC inequalities. In this paper, we initiate an exploration of this problem by relating bulk entropy constraints to boundary entropy inequalities. In particular, we show that requiring the bulk entropies to satisfy the HEC implies that the boundary entropies also satisfy the HEC. Further, we also show that requiring the bulk entropies to obey monogamy of mutual information (MMI) implies the boundary entropies also obey MMI. |
hep-th/0204172 | Joris Raeymaekers | Robertus Potting and Joris Raeymaekers | Ghost Sector of Vacuum String Field Theory and the Projection Equation | 25 pages, no figures. Typos corrected, published version | JHEP 0206 (2002) 002 | 10.1088/1126-6708/2002/06/002 | null | hep-th | null | We study the ghost sector of vacuum string field theory where the BRST
operator Q is given by the midpoint insertion proposed by Gaiotto, Rastelli,
Sen and Zwiebach. We introduce a convenient basis of half-string modes in terms
of which Q takes a particularly simple form. We show that there exists a field
redefinition which reduces the ghost sector field equation to a pure projection
equation for string fields satisfying the constraint that the ghost number is
equally divided over the left- and right halves of the string. When this
constraint is imposed, vacuum string field theory can be reformulated as a
$U(\infty)$ cubic matrix model. Ghost sector solutions can be constructed from
projection operators on half-string Hilbert space just as in the matter sector.
We construct the ghost sector equivalent of various well-known matter sector
projectors such as the sliver, butterfly and nothing states.
| [
{
"created": "Sat, 20 Apr 2002 12:19:06 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2002 12:14:20 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Potting",
"Robertus",
""
],
[
"Raeymaekers",
"Joris",
""
]
] | We study the ghost sector of vacuum string field theory where the BRST operator Q is given by the midpoint insertion proposed by Gaiotto, Rastelli, Sen and Zwiebach. We introduce a convenient basis of half-string modes in terms of which Q takes a particularly simple form. We show that there exists a field redefinition which reduces the ghost sector field equation to a pure projection equation for string fields satisfying the constraint that the ghost number is equally divided over the left- and right halves of the string. When this constraint is imposed, vacuum string field theory can be reformulated as a $U(\infty)$ cubic matrix model. Ghost sector solutions can be constructed from projection operators on half-string Hilbert space just as in the matter sector. We construct the ghost sector equivalent of various well-known matter sector projectors such as the sliver, butterfly and nothing states. |
0705.1146 | Eugen Radu | Eugen Radu and D. H. Tchrakian | Goldstone models in D+1 dimensions, D=3,4,5, supporting stable and zero
topological charge solutions | 29 pages, 6 figures | null | 10.1088/1751-8113/40/33/013 | DIAS-STP-07-06 | hep-th | null | We study finite energy static solutions to a global symmetry breaking
Goldstone model described by an isovector scalar field in D+1 spacetime
dimensions. Both topologically stable multisolitons with arbitrary winding
numbers, and zero topological charge soliton--antisoliton solutions are
constructed numerically in D=3,4,5. We have explored the types of symmetries
the systems should be subjected to, for there to exist multisoliton and
soliton--antisoliton pairs in D=3,4,5,6. These findings are underpinned by
constructing numerical solutions in the $D\le 5$ examples. Subject to axial
symmetry, only multisolitons of all topological charges exist in even D, and in
odd D, only zero and unit topological charge solutions exist. Subjecting the
system to weaker than axial symmetries, results in the existence of all the
possibilities in all dimensions. Our findings apply also to finite 'energy'
solutions to Yang--Mills and Yang-Mills--Higgs systems, and in principle also
sigma models.
| [
{
"created": "Tue, 8 May 2007 19:09:30 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2007 13:51:33 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | We study finite energy static solutions to a global symmetry breaking Goldstone model described by an isovector scalar field in D+1 spacetime dimensions. Both topologically stable multisolitons with arbitrary winding numbers, and zero topological charge soliton--antisoliton solutions are constructed numerically in D=3,4,5. We have explored the types of symmetries the systems should be subjected to, for there to exist multisoliton and soliton--antisoliton pairs in D=3,4,5,6. These findings are underpinned by constructing numerical solutions in the $D\le 5$ examples. Subject to axial symmetry, only multisolitons of all topological charges exist in even D, and in odd D, only zero and unit topological charge solutions exist. Subjecting the system to weaker than axial symmetries, results in the existence of all the possibilities in all dimensions. Our findings apply also to finite 'energy' solutions to Yang--Mills and Yang-Mills--Higgs systems, and in principle also sigma models. |
hep-th/9307053 | Simon Dalley | S.Dalley | Light-Cone Quantisation of Matrix Models at c>1 | 14 pages, PUPT-1410 | null | null | null | hep-th | null | The technique of (discretised) light-cone quantisation, as applied to matrix
models of relativistic strings, is reviewed. The case of the c=2 non-critical
bosonic string is discussed in some detail to clarify the nature of the
continuum limit. Futher applications for the technique are then outlined. (To
appear in proceedings of the NATO Advanced Workshop on Recent Developments in
Strings, Conformal Models, and Topological Field Theory, Cargese 12-21 May
1993.)
| [
{
"created": "Thu, 8 Jul 1993 01:38:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dalley",
"S.",
""
]
] | The technique of (discretised) light-cone quantisation, as applied to matrix models of relativistic strings, is reviewed. The case of the c=2 non-critical bosonic string is discussed in some detail to clarify the nature of the continuum limit. Futher applications for the technique are then outlined. (To appear in proceedings of the NATO Advanced Workshop on Recent Developments in Strings, Conformal Models, and Topological Field Theory, Cargese 12-21 May 1993.) |
1711.07681 | Yuhma Asano | Yuhma Asano, Goro Ishiki, Shinji Shimasaki, Seiji Terashima | Spherical transverse M5-branes from the plane wave matrix model | 45 pages, 1 figure; v2: A typo in the author information fixed | null | 10.1007/JHEP02(2018)076 | DIAS-STP-17-13, UTHEP-709, YITP-17-123 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider matrix theoretical description of transverse M5-branes in
M-theory on the 11-dimensional maximally supersymmetric pp-wave background. We
apply the localization to the plane wave matrix model (PWMM) and show that the
transverse spherical fivebranes with zero light cone energy in M-theory are
realized as the distribution of low energy moduli of the $SO(6)$ scalar fields
in PWMM.
| [
{
"created": "Tue, 21 Nov 2017 09:12:14 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Dec 2017 16:04:36 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Asano",
"Yuhma",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Shimasaki",
"Shinji",
""
],
[
"Terashima",
"Seiji",
""
]
] | We consider matrix theoretical description of transverse M5-branes in M-theory on the 11-dimensional maximally supersymmetric pp-wave background. We apply the localization to the plane wave matrix model (PWMM) and show that the transverse spherical fivebranes with zero light cone energy in M-theory are realized as the distribution of low energy moduli of the $SO(6)$ scalar fields in PWMM. |
1704.07105 | Anjana V. | V. Anjana, E. Harikumar and A. K. Kapoor | Non-Commutative space-time and Hausdorff dimension | 16 pages, 3 figures, minor changes, to appear in IJMPA | null | 10.1142/S0217751X17501834 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hausdorff dimension of the path of a quantum particle in
non-commutative space-time. We show that the Hausdorff dimension depends on the
deformation parameter $a$ and the resolution $\Delta x$ for both
non-relativistic and relativistic quantum particle. For the non-relativistic
case, it is seen that Hausdorff dimension is always less than two in the
non-commutative space-time. For relativistic quantum particle, we find the
Hausdorff dimension increases with the non-commutative parameter, in contrast
to the commutative space-time. We show that non-commutative correction to Dirac
equation brings in the spinorial nature of the relativistic wave function into
play, unlike in the commutative space-time. By imposing self-similarity
condition on the path of non-relativistic and relativistic quantum particle in
non-commutative space-time, we derive the corresponding generalised uncertainty
relation.
| [
{
"created": "Mon, 24 Apr 2017 09:19:44 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2017 04:35:44 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Anjana",
"V.",
""
],
[
"Harikumar",
"E.",
""
],
[
"Kapoor",
"A. K.",
""
]
] | We study the Hausdorff dimension of the path of a quantum particle in non-commutative space-time. We show that the Hausdorff dimension depends on the deformation parameter $a$ and the resolution $\Delta x$ for both non-relativistic and relativistic quantum particle. For the non-relativistic case, it is seen that Hausdorff dimension is always less than two in the non-commutative space-time. For relativistic quantum particle, we find the Hausdorff dimension increases with the non-commutative parameter, in contrast to the commutative space-time. We show that non-commutative correction to Dirac equation brings in the spinorial nature of the relativistic wave function into play, unlike in the commutative space-time. By imposing self-similarity condition on the path of non-relativistic and relativistic quantum particle in non-commutative space-time, we derive the corresponding generalised uncertainty relation. |
2312.11616 | Johannes Aspman | Johannes Aspman, Elias Furrer, Jan Manschot | Topological twists of massive SQCD, Part II | 80 pages + appendices, 13 figures. Second part of a series of two
papers, first part is available at arXiv:2206.08943 | null | null | null | hep-th math.DG math.NT | http://creativecommons.org/licenses/by/4.0/ | This is the second and final part of ``Topological twists of massive SQCD''.
Part I is available at arXiv:2206.08943. In this second part, we evaluate the
contribution of the Coulomb branch to topological path integrals for
$\mathcal{N}=2$ supersymmetric QCD with $N_f\leq 3$ massive hypermultiplets on
compact four-manifolds. Our analysis includes the decoupling of
hypermultiplets, the massless limit and the merging of mutually non-local
singularities at the Argyres-Douglas points. We give explicit mass expansions
for the four-manifolds $\mathbb{P}^2$ and $K3$. For $\mathbb{P}^2$, we find
that the correlation functions are polynomial as function of the masses, while
infinite series and (potential) singularities occur for $K3$. The mass
dependence corresponds mathematically to the integration of the equivariant
Chern class of the matter bundle over the moduli space of $Q$-fixed equations.
We demonstrate that the physical partition functions agree with mathematical
results on Segre numbers of instanton moduli spaces.
| [
{
"created": "Mon, 18 Dec 2023 19:00:01 GMT",
"version": "v1"
}
] | 2023-12-20 | [
[
"Aspman",
"Johannes",
""
],
[
"Furrer",
"Elias",
""
],
[
"Manschot",
"Jan",
""
]
] | This is the second and final part of ``Topological twists of massive SQCD''. Part I is available at arXiv:2206.08943. In this second part, we evaluate the contribution of the Coulomb branch to topological path integrals for $\mathcal{N}=2$ supersymmetric QCD with $N_f\leq 3$ massive hypermultiplets on compact four-manifolds. Our analysis includes the decoupling of hypermultiplets, the massless limit and the merging of mutually non-local singularities at the Argyres-Douglas points. We give explicit mass expansions for the four-manifolds $\mathbb{P}^2$ and $K3$. For $\mathbb{P}^2$, we find that the correlation functions are polynomial as function of the masses, while infinite series and (potential) singularities occur for $K3$. The mass dependence corresponds mathematically to the integration of the equivariant Chern class of the matter bundle over the moduli space of $Q$-fixed equations. We demonstrate that the physical partition functions agree with mathematical results on Segre numbers of instanton moduli spaces. |
1810.04643 | Matias Leoni | Diego Correa, Matias Leoni and Solange Luque | Spin chain integrability in non-supersymmetric Wilson loops | 19 pages, 3 figures, references added | null | 10.1007/JHEP12(2018)050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the 1-loop dilatation operator for insertions of composite operators
in a generalized Wilson loop in ${\cal N}=4$ super Yang-Mills, which
interpolates between the supersymmetric Wilson-Maldacena loop and the ordinary
Wilson loop with no scalar coupling. For $SO(6)$ scalar insertions, we show
that the 1-loop dilatation operator is integrable for the endpoints of the
interpolation, i.e. either for the Wilson-Maldacena or the ordinary Wilson
loop. Moreover, we also show that integrability persists for $SU(2|3)$
insertions in the ordinary Wilson loop, even when the term making the spin
chain length dynamical is included.
| [
{
"created": "Wed, 10 Oct 2018 17:08:22 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2018 18:22:35 GMT",
"version": "v2"
}
] | 2018-12-26 | [
[
"Correa",
"Diego",
""
],
[
"Leoni",
"Matias",
""
],
[
"Luque",
"Solange",
""
]
] | We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in ${\cal N}=4$ super Yang-Mills, which interpolates between the supersymmetric Wilson-Maldacena loop and the ordinary Wilson loop with no scalar coupling. For $SO(6)$ scalar insertions, we show that the 1-loop dilatation operator is integrable for the endpoints of the interpolation, i.e. either for the Wilson-Maldacena or the ordinary Wilson loop. Moreover, we also show that integrability persists for $SU(2|3)$ insertions in the ordinary Wilson loop, even when the term making the spin chain length dynamical is included. |
1505.02643 | Haitang Yang | Peng Wang, Houwen Wu and Haitang Yang | Equivalence of open/closed strings | V3, major revision: added a subsection and one figure to clarify
open/closed relation. modifieded some arguments, typo corrected, added
references and more remarks | null | null | CTP-SCU/2015006 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we prove that the open and closed strings are $O(D,D)$
equivalent. The equivalence requires an AdS geometry near the boundaries. The
$O(D,D)$ invariance is introduced into the Polyakov action by the Tseytlin's
action. Traditionally, there exist disconnected open-open or closed-closed
configurations in the solution space of the Tseytlin's action. The open-closed
configuration is ruled out by the mixed terms of the dual fields. We show that,
under some very general guidances, the dual fields are consistently decoupled
if and only if the near horizon geometry is $AdS_5$. We then have open-closed
and closed-open configurations in different limits of the distances of the
$D3$-brane pairs. Inherited from the definition of the theory, these four
configurations are of course related to each other by $O(D,D)$ transformations.
We therefore conclude that both the open/closed relation and open/closed
duality can be derived from $O(D,D)$ symmetries. We then demonstrate the
open/closed relation does connect commutative open and closed strings. By
analyzing the couplings of the configurations, the low energy effective limits
of our results consequently predicts the AdS/CFT correspondence, Higher spin
theory, weak gauge/weak gravity duality and a yet to be proposed strong
gauge/strong gravity duality. Furthermore, we also have the Seiberg duality and
a weak/strong gravitation duality as consequences of $O(D,D)$ symmetries.
| [
{
"created": "Mon, 11 May 2015 14:41:06 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2015 15:48:38 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jun 2015 18:20:51 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Wang",
"Peng",
""
],
[
"Wu",
"Houwen",
""
],
[
"Yang",
"Haitang",
""
]
] | In this paper, we prove that the open and closed strings are $O(D,D)$ equivalent. The equivalence requires an AdS geometry near the boundaries. The $O(D,D)$ invariance is introduced into the Polyakov action by the Tseytlin's action. Traditionally, there exist disconnected open-open or closed-closed configurations in the solution space of the Tseytlin's action. The open-closed configuration is ruled out by the mixed terms of the dual fields. We show that, under some very general guidances, the dual fields are consistently decoupled if and only if the near horizon geometry is $AdS_5$. We then have open-closed and closed-open configurations in different limits of the distances of the $D3$-brane pairs. Inherited from the definition of the theory, these four configurations are of course related to each other by $O(D,D)$ transformations. We therefore conclude that both the open/closed relation and open/closed duality can be derived from $O(D,D)$ symmetries. We then demonstrate the open/closed relation does connect commutative open and closed strings. By analyzing the couplings of the configurations, the low energy effective limits of our results consequently predicts the AdS/CFT correspondence, Higher spin theory, weak gauge/weak gravity duality and a yet to be proposed strong gauge/strong gravity duality. Furthermore, we also have the Seiberg duality and a weak/strong gravitation duality as consequences of $O(D,D)$ symmetries. |
hep-th/0305158 | Jayme Felipe Martins Mendes | M. V. Cougo-Pinto, J. F. M. Mendes, C. Farina | The creation of kappa deformed electromagnetic radiation from a sum of
zero modes | 5 pages | null | null | null | hep-th | null | In a related paper we have obtained that the effective action for a
kappa-deformed quantum field theory has a real and an imaginary part. The real
part is half the sum of the kappa-deformed zero mode frequencies, while the
imaginary part is proportional to the sum of the squares of the zero mode
frequencies, being proportional to the inverse of kappa. Here we calculate this
imaginary part for the kappa-deformed electromagnetic field confined between
two perfectly conducting parallel plates. After renormalization this imaginary
part gives a creation rate of kappa-deformed electromagnetic radiation. This
creation rate goes to zero at the appropriate limits, namely: when the
deformation disappears or at infinite separation of the plates. The result
agrees with previously obtained results and shed light on them by exhibiting
the creation rate as originated in a sum of zero modes. Let us note that due to
the rather complicated kappa-deformed electromagnetic dispersion relation we
were led to the theorem of the argument in order to sum the squares of the
kappa-deformed frequencies.
| [
{
"created": "Mon, 19 May 2003 15:31:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cougo-Pinto",
"M. V.",
""
],
[
"Mendes",
"J. F. M.",
""
],
[
"Farina",
"C.",
""
]
] | In a related paper we have obtained that the effective action for a kappa-deformed quantum field theory has a real and an imaginary part. The real part is half the sum of the kappa-deformed zero mode frequencies, while the imaginary part is proportional to the sum of the squares of the zero mode frequencies, being proportional to the inverse of kappa. Here we calculate this imaginary part for the kappa-deformed electromagnetic field confined between two perfectly conducting parallel plates. After renormalization this imaginary part gives a creation rate of kappa-deformed electromagnetic radiation. This creation rate goes to zero at the appropriate limits, namely: when the deformation disappears or at infinite separation of the plates. The result agrees with previously obtained results and shed light on them by exhibiting the creation rate as originated in a sum of zero modes. Let us note that due to the rather complicated kappa-deformed electromagnetic dispersion relation we were led to the theorem of the argument in order to sum the squares of the kappa-deformed frequencies. |
hep-th/0404002 | Yun-Song Piao | Yun-Song Piao | On Dualities Of Primordial Perturbation Spectra | 5 pages, 2 eps figures, published in PLB606 (2005) 245 | Phys.Lett. B606 (2005) 245-250 | 10.1016/j.physletb.2004.12.005 | null | hep-th | null | In this paper, we discuss the dualities of the primordial perturbation
spectra from various expanding/contracting phases for full space of parameter
$w\equiv {p\over \rho}$ of state equation.
| [
{
"created": "Thu, 1 Apr 2004 11:57:06 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2005 08:53:54 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Piao",
"Yun-Song",
""
]
] | In this paper, we discuss the dualities of the primordial perturbation spectra from various expanding/contracting phases for full space of parameter $w\equiv {p\over \rho}$ of state equation. |
0810.3106 | Andreas Ringwald | Andreas Ringwald | From Axions to Other WISPs | 4 pages, 1 figure, contribution to 4th Patras Workshop on Axions,
WIMPs and WISPs, DESY, Hamburg Site/Germany, 18-21 June 2008 | null | null | DESY 08-149 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We illustrate, taking a top-down point of view, how axions and other very
weakly interacting sub-eV particles (WISPs) arise in the course of
compactification of the extra spatial dimensions in string/M-theory.
| [
{
"created": "Fri, 17 Oct 2008 12:37:19 GMT",
"version": "v1"
}
] | 2008-10-20 | [
[
"Ringwald",
"Andreas",
""
]
] | We illustrate, taking a top-down point of view, how axions and other very weakly interacting sub-eV particles (WISPs) arise in the course of compactification of the extra spatial dimensions in string/M-theory. |
2306.08378 | Cai'e Liu | C. E. Liu, S. G. Zhang | Investigation of transport properties of graphene Dirac fluid by
holographic two-current axion coupling model | null | null | null | null | hep-th cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, there has been great interest in the phenomenon of severe violation
of the Wiedemann-Franz law in graphene Dirac fluids around 75 K, due to the
strong coupling relativistic plasma near the neutral point, where traditional
perturbation theory fails. To explain this phenomenon, this article proposes a
holographic dual two-current axion coupling model, describing the interaction
between electrons and holes in graphene near the charge neutrality point (CNP)
and revealing the related physical mechanism. The study shows that the
holographic two-current model aligns with experimental results at $100\mu
m^{-2}$,and correctly predicts conductivity as temperature increases.
Additionally, the article explores the behavior of $\beta+\gamma$ and its
impact on conductivity and thermal conductivity. The results suggest a
frictional effect between electrons and holes. Consequently, this study
provides us with a clearer understanding of the properties of graphene Dirac
fluids and further confirms the reliability of the holographic duality method.
| [
{
"created": "Wed, 14 Jun 2023 09:08:53 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2023 03:33:13 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Feb 2024 06:55:25 GMT",
"version": "v3"
}
] | 2024-02-12 | [
[
"Liu",
"C. E.",
""
],
[
"Zhang",
"S. G.",
""
]
] | Recently, there has been great interest in the phenomenon of severe violation of the Wiedemann-Franz law in graphene Dirac fluids around 75 K, due to the strong coupling relativistic plasma near the neutral point, where traditional perturbation theory fails. To explain this phenomenon, this article proposes a holographic dual two-current axion coupling model, describing the interaction between electrons and holes in graphene near the charge neutrality point (CNP) and revealing the related physical mechanism. The study shows that the holographic two-current model aligns with experimental results at $100\mu m^{-2}$,and correctly predicts conductivity as temperature increases. Additionally, the article explores the behavior of $\beta+\gamma$ and its impact on conductivity and thermal conductivity. The results suggest a frictional effect between electrons and holes. Consequently, this study provides us with a clearer understanding of the properties of graphene Dirac fluids and further confirms the reliability of the holographic duality method. |
0803.0836 | Changhyun Ahn | Changhyun Ahn | Meta-Stable Brane Configurations, Multiple NS5-Branes, and Rotated
D6-Branes | 58 pp, 22 figures; Eq. (4.2) corrected and footnote added; redundant
parts removed and to appear in IJMPA | Int.J.Mod.Phys.A24:5121-5171,2009 | 10.1142/S0217751X09045947 | KIAS-P08019 | hep-th | http://creativecommons.org/licenses/by/3.0/ | We construct the type IIA nonsupersymmetric meta-stable brane configurations
corresponding to the various N=1 supersymmetric gauge theories. The D6-branes
are both displaced and rotated where these deformations are described as the
mass term and quartic term for the fundamental flavors respectively. The
multiplicity of the NS5-branes occurs in the superpotential order for adjoint,
symmetric, or bifundamental matters. A rich pattern of nonsupersymmetric
meta-stable states as well as the supersymmetric stable states is found.
| [
{
"created": "Thu, 6 Mar 2008 11:15:59 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jun 2008 11:54:45 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2009 11:23:09 GMT",
"version": "v3"
}
] | 2009-11-05 | [
[
"Ahn",
"Changhyun",
""
]
] | We construct the type IIA nonsupersymmetric meta-stable brane configurations corresponding to the various N=1 supersymmetric gauge theories. The D6-branes are both displaced and rotated where these deformations are described as the mass term and quartic term for the fundamental flavors respectively. The multiplicity of the NS5-branes occurs in the superpotential order for adjoint, symmetric, or bifundamental matters. A rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable states is found. |
1301.1121 | Rafa{\l} R. Suszek | Rafa{\l} R. Suszek | Gauge Defect Networks in Two-Dimensional CFT | 8 pages; The article is the author's contribution to the Proceedings
of the XXIX International Colloquium on Group-Theoretical Methods in Physics
(20-26 August 2012, Tianjin, China) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An interpretation of the gauge anomaly of the two-dimensional multi-phase
sigma model is presented in terms of an obstruction to the existence of a
topological defect network implementing a local trivialisation of the gauged
sigma model.
| [
{
"created": "Mon, 7 Jan 2013 07:12:26 GMT",
"version": "v1"
}
] | 2013-01-08 | [
[
"Suszek",
"Rafał R.",
""
]
] | An interpretation of the gauge anomaly of the two-dimensional multi-phase sigma model is presented in terms of an obstruction to the existence of a topological defect network implementing a local trivialisation of the gauged sigma model. |
1103.1389 | Robert Brandenberger | Sasmita Mishra, Wei Xue, Robert Brandenberger and Urjit Yajnik (McGill
and IIT Bombay) | Supersymmetry Breaking and Dilaton Stabilization in String Gas Cosmology | 11 pages | null | 10.1088/1475-7516/2012/09/015 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Note we study supersymmetry breaking via gaugino condensation in
string gas cosmology. We show that the same gaugino condensate which is
introduced to stabilize the dilaton breaks supersymmetry. We study the
constraints on the scale of supersymmetry breaking which this mechanism leads
to.
| [
{
"created": "Mon, 7 Mar 2011 21:10:28 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Mishra",
"Sasmita",
"",
"McGill\n and IIT Bombay"
],
[
"Xue",
"Wei",
"",
"McGill\n and IIT Bombay"
],
[
"Brandenberger",
"Robert",
"",
"McGill\n and IIT Bombay"
],
[
"Yajnik",
"Urjit",
"",
"McGill\n and IIT Bombay"
]
] | In this Note we study supersymmetry breaking via gaugino condensation in string gas cosmology. We show that the same gaugino condensate which is introduced to stabilize the dilaton breaks supersymmetry. We study the constraints on the scale of supersymmetry breaking which this mechanism leads to. |
hep-th/0002058 | Tom Weidig | Mark Hale (Durham, UK) and Oliver Schwindt (UMIST, UK) and Tom Weidig
(UMIST, UK) | Simulated Annealing for Topological Solitons | 31 pages, LaTeX, better quality pics at
http://www.phy.umist.ac.uk/~weidig/Simulated_Annealing/, updated for
publication | Phys.Rev. E62 (2000) 4333-4346 | 10.1103/PhysRevE.62.4333 | DTP/00/15 | hep-th | null | The search for solutions of field theories allowing for topological solitons
requires that we find the field configuration with the lowest energy in a given
sector of topological charge. The standard approach is based on the numerical
solution of the static Euler-Lagrange differential equation following from the
field energy. As an alternative, we propose to use a simulated annealing
algorithm to minimize the energy functional directly. We have applied simulated
annealing to several nonlinear classical field theories: the sine-Gordon model
in one dimension, the baby Skyrme model in two dimensions and the nuclear
Skyrme model in three dimensions. We describe in detail the implementation of
the simulated annealing algorithm, present our results and get independent
confirmation of the studies which have used standard minimization techniques.
| [
{
"created": "Tue, 8 Feb 2000 00:14:01 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2000 16:27:14 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hale",
"Mark",
"",
"Durham, UK"
],
[
"Schwindt",
"Oliver",
"",
"UMIST, UK"
],
[
"Weidig",
"Tom",
"",
"UMIST, UK"
]
] | The search for solutions of field theories allowing for topological solitons requires that we find the field configuration with the lowest energy in a given sector of topological charge. The standard approach is based on the numerical solution of the static Euler-Lagrange differential equation following from the field energy. As an alternative, we propose to use a simulated annealing algorithm to minimize the energy functional directly. We have applied simulated annealing to several nonlinear classical field theories: the sine-Gordon model in one dimension, the baby Skyrme model in two dimensions and the nuclear Skyrme model in three dimensions. We describe in detail the implementation of the simulated annealing algorithm, present our results and get independent confirmation of the studies which have used standard minimization techniques. |
2004.05350 | Yuji Tachikawa | Oren Bergman, Yuji Tachikawa, Gabi Zafrir | Generalized symmetries and holography in ABJM-type theories | 27 pages | null | 10.1007/JHEP07(2020)077 | IPMU-20-0016 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the N=6 superconformal Chern-Simons-matter theories and their
supergravity duals in the context of generalized symmetries. This allows us to
finally clarify how the $SU(N)\times SU(N)$ and $(SU(N)\times
SU(N))/\mathbb{Z}_N$ theories, as well as other quotient theories that have
recently been discussed, fit into the holographic framework. It also resolves a
long standing puzzle regarding the di-baryon operator in the $U(N)\times U(N)$
theory.
| [
{
"created": "Sat, 11 Apr 2020 09:35:20 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Bergman",
"Oren",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Zafrir",
"Gabi",
""
]
] | We revisit the N=6 superconformal Chern-Simons-matter theories and their supergravity duals in the context of generalized symmetries. This allows us to finally clarify how the $SU(N)\times SU(N)$ and $(SU(N)\times SU(N))/\mathbb{Z}_N$ theories, as well as other quotient theories that have recently been discussed, fit into the holographic framework. It also resolves a long standing puzzle regarding the di-baryon operator in the $U(N)\times U(N)$ theory. |
hep-th/9210131 | null | Lee Brekke, Hans Dykstra, Adam F. Falk and Tom D. Imbo | Novel Spin and Statistical Properties of Nonabelian Vortices | 11 pages, UICHEP-TH/92-15; FERMILAB-PUB-92/233-T; SLAC-PUB-5884 | Phys.Lett. B304 (1993) 127-133 | 10.1016/0370-2693(93)91411-F | null | hep-th | null | We study the statistics of vortices which appear in (2+1)--dimensional
spontaneously broken gauge theories, where a compact group G breaks to a finite
nonabelian subgroup H. Two simple models are presented. In the first, a quantum
state which is symmetric under the interchange of a pair of indistinguishable
vortices can be transformed into an antisymmetric state after the passage
through the system of a third vortex with an appropriate $H$-flux element.
Further, there exist states containing two indistinguishable spinless vortices
which obey Fermi statistics. These results generalize to loops of nonabelian
cosmic string in 3+1 dimensions. In the second model, fractional analogues of
the above behaviors occur. Also, composites of vortices in this theory may
possess fractional ``Cheshire spin'' which can be changed by passing an
additional vortex through the system.
| [
{
"created": "Fri, 23 Oct 1992 23:33:55 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Brekke",
"Lee",
""
],
[
"Dykstra",
"Hans",
""
],
[
"Falk",
"Adam F.",
""
],
[
"Imbo",
"Tom D.",
""
]
] | We study the statistics of vortices which appear in (2+1)--dimensional spontaneously broken gauge theories, where a compact group G breaks to a finite nonabelian subgroup H. Two simple models are presented. In the first, a quantum state which is symmetric under the interchange of a pair of indistinguishable vortices can be transformed into an antisymmetric state after the passage through the system of a third vortex with an appropriate $H$-flux element. Further, there exist states containing two indistinguishable spinless vortices which obey Fermi statistics. These results generalize to loops of nonabelian cosmic string in 3+1 dimensions. In the second model, fractional analogues of the above behaviors occur. Also, composites of vortices in this theory may possess fractional ``Cheshire spin'' which can be changed by passing an additional vortex through the system. |
2106.08449 | Elli Pomoni | Elli Pomoni, Randle Rabe and Konstantinos Zoubos | Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs | 88 pages, 14 Figures | null | 10.1007/JHEP08(2021)127 | DESY 21-082 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the first in a series of papers devoted to the study of spin chains
capturing the spectral problem of 4d $\mathcal{N}=2$ SCFTs in the planar limit.
At one loop and in the quantum plane limit, we discover a quasi-Hopf symmetry
algebra, defined by the $R$-matrix read off from the superpotential. This
implies that when orbifolding the $\mathcal{N}=4$ symmetry algebra down to the
$\mathcal{N}=2$ one and then marginaly deforming, the broken generators are not
lost, but get upgraded to quantum generators. Importantly, we demonstrate that
these chains are dynamical, in the sense that their Hamiltonian depends on a
parameter which is dynamically determined along the chain. At one loop we map
the holomorphic SU(3) scalar sector to a dynamical 15-vertex model, which
corresponds to an RSOS model, whose adjacency graph can be read off from the
gauge theory quiver/brane tiling. One scalar SU(2) sub-sector is described by
an alternating nearest-neighbour Hamiltonian, while another choice of SU(2)
sub-sector leads to a dynamical dilute Temperley-Lieb model. These sectors have
a common vacuum state, around which the magnon dispersion relations are
naturally uniformised by elliptic functions. Concretely, for the $\mathbb{Z}_2$
quiver theory we study these dynamical chains by solving the one- and
two-magnon problems with the coordinate Bethe ansatz approach. We confirm our
analytic results by numerical comparison with the explicit diagonalisation of
the Hamiltonian for short closed chains.
| [
{
"created": "Tue, 15 Jun 2021 21:48:03 GMT",
"version": "v1"
}
] | 2021-09-15 | [
[
"Pomoni",
"Elli",
""
],
[
"Rabe",
"Randle",
""
],
[
"Zoubos",
"Konstantinos",
""
]
] | This is the first in a series of papers devoted to the study of spin chains capturing the spectral problem of 4d $\mathcal{N}=2$ SCFTs in the planar limit. At one loop and in the quantum plane limit, we discover a quasi-Hopf symmetry algebra, defined by the $R$-matrix read off from the superpotential. This implies that when orbifolding the $\mathcal{N}=4$ symmetry algebra down to the $\mathcal{N}=2$ one and then marginaly deforming, the broken generators are not lost, but get upgraded to quantum generators. Importantly, we demonstrate that these chains are dynamical, in the sense that their Hamiltonian depends on a parameter which is dynamically determined along the chain. At one loop we map the holomorphic SU(3) scalar sector to a dynamical 15-vertex model, which corresponds to an RSOS model, whose adjacency graph can be read off from the gauge theory quiver/brane tiling. One scalar SU(2) sub-sector is described by an alternating nearest-neighbour Hamiltonian, while another choice of SU(2) sub-sector leads to a dynamical dilute Temperley-Lieb model. These sectors have a common vacuum state, around which the magnon dispersion relations are naturally uniformised by elliptic functions. Concretely, for the $\mathbb{Z}_2$ quiver theory we study these dynamical chains by solving the one- and two-magnon problems with the coordinate Bethe ansatz approach. We confirm our analytic results by numerical comparison with the explicit diagonalisation of the Hamiltonian for short closed chains. |
1804.10125 | Victor Lekeu | Marc Henneaux, Victor Lekeu, Javier Matulich, Stefan Prohazka | The Action of the (Free) $\mathcal{N} = (3,1)$ Theory in Six Spacetime
Dimensions | 14 pages + 17 pages of appendices, 1 figure. v2: some typos corrected
v3: more typos corrected, matches published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The action of the free $\mathcal{N} = (3,1)$ theory in six spacetime
dimensions is explicitly constructed. The variables of the variational
principle are prepotentials adapted to the self-duality conditions on the
fields. The $(3,1)$ supersymmetry variations are given and the invariance of
the action is verified. The action is first-order in time derivatives. It is
also Poincar\'e invariant but not manifestly so, just like the Hamiltonian
action of more familiar relativistic field theories.
| [
{
"created": "Thu, 26 Apr 2018 15:58:23 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2018 15:24:08 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jun 2018 14:00:56 GMT",
"version": "v3"
}
] | 2018-06-13 | [
[
"Henneaux",
"Marc",
""
],
[
"Lekeu",
"Victor",
""
],
[
"Matulich",
"Javier",
""
],
[
"Prohazka",
"Stefan",
""
]
] | The action of the free $\mathcal{N} = (3,1)$ theory in six spacetime dimensions is explicitly constructed. The variables of the variational principle are prepotentials adapted to the self-duality conditions on the fields. The $(3,1)$ supersymmetry variations are given and the invariance of the action is verified. The action is first-order in time derivatives. It is also Poincar\'e invariant but not manifestly so, just like the Hamiltonian action of more familiar relativistic field theories. |
1605.04758 | Amjad Ashoorioon | Amjad Ashoorioon, Roberto Casadio and Tomi Koivisto | Anisotropic non-Gaussianity from Rotational Symmetry Breaking Excited
Initial States | v1: 13 pages, 3 figures, double column, v2: some refs added; v3:
Matched the JCAP version | JCAP 12 (2016) 002 | 10.1088/1475-7516/2016/12/002 | NORDITA-2016-35 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If the initial quantum state of the primordial perturbations broke rotational
invariance, that would be seen as a statistical anisotropy in the angular
correlations of the cosmic microwave background radiation (CMBR) temperature
fluctuations. This can be described by a general parameterisation of the
initial conditions that takes into account the possible direction-dependence of
both the amplitude and the phase of particle creation during inflation. The
leading effect in the CMBR two-point function is typically a quadrupole
modulation, whose coefficient is analytically constrained here to be $|B|
\lesssim 0.06$. The CMBR three-point function then acquires enhanced
non-gaussianity, especially for the local configurations. In the large
occupation number limit, a distinctive prediction is a modulation of the
non-gaussianity around a mean value depending on the angle that short and long
wavelength modes make with the preferred direction. The maximal variations with
respect to the mean value occur for the configurations which are coplanar with
the preferred direction and the amplitude of the non-gaussianity increases
(decreases) for the short wavelength modes aligned with (perpendicular to) the
preferred direction. For a high scale model of inflation with maximally pumped
up isotropic occupation and $\epsilon\simeq 0.01$ the difference between these
two configurations is about $0.27$, which could be detectable in the future.
For purely anisotropic particle creation, the non-Gaussianity can be larger and
its anisotropic feature very sharp. The non-gaussianity can then reach $f_{NL}
\sim 30$ in the preferred direction while disappearing from the correlations in
the orthogonal plane.
| [
{
"created": "Mon, 16 May 2016 13:04:09 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2016 13:47:11 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2016 15:12:28 GMT",
"version": "v3"
}
] | 2016-12-02 | [
[
"Ashoorioon",
"Amjad",
""
],
[
"Casadio",
"Roberto",
""
],
[
"Koivisto",
"Tomi",
""
]
] | If the initial quantum state of the primordial perturbations broke rotational invariance, that would be seen as a statistical anisotropy in the angular correlations of the cosmic microwave background radiation (CMBR) temperature fluctuations. This can be described by a general parameterisation of the initial conditions that takes into account the possible direction-dependence of both the amplitude and the phase of particle creation during inflation. The leading effect in the CMBR two-point function is typically a quadrupole modulation, whose coefficient is analytically constrained here to be $|B| \lesssim 0.06$. The CMBR three-point function then acquires enhanced non-gaussianity, especially for the local configurations. In the large occupation number limit, a distinctive prediction is a modulation of the non-gaussianity around a mean value depending on the angle that short and long wavelength modes make with the preferred direction. The maximal variations with respect to the mean value occur for the configurations which are coplanar with the preferred direction and the amplitude of the non-gaussianity increases (decreases) for the short wavelength modes aligned with (perpendicular to) the preferred direction. For a high scale model of inflation with maximally pumped up isotropic occupation and $\epsilon\simeq 0.01$ the difference between these two configurations is about $0.27$, which could be detectable in the future. For purely anisotropic particle creation, the non-Gaussianity can be larger and its anisotropic feature very sharp. The non-gaussianity can then reach $f_{NL} \sim 30$ in the preferred direction while disappearing from the correlations in the orthogonal plane. |
hep-th/0205190 | Burt Ovrut | Evgeny I. Buchbinder, Ron Donagi and Burt A. Ovrut | Superpotentials for Vector Bundle Moduli | 26 pages, LaTeX; corrected typos, added references | Nucl.Phys.B653:400-420,2003 | 10.1016/S0550-3213(02)01093-3 | UPR993-T | hep-th math.AG | null | We present a method for explicitly computing the non-perturbative
superpotentials associated with the vector bundle moduli in heterotic
superstrings and M-theory. This method is applicable to any stable, holomorphic
vector bundle over an elliptically fibered Calabi-Yau threefold. For
specificity, the vector bundle moduli superpotential, for a vector bundle with
structure group G=SU(3), generated by a heterotic superstring wrapped once over
an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly
calculated. Its locus of critical points is discussed. Superpotentials of
vector bundle moduli potentially have important implications for small
instanton phase transitions and the vacuum stability and cosmology of
superstrings and M-theory.
| [
{
"created": "Sun, 19 May 2002 02:53:43 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 19:23:26 GMT",
"version": "v2"
}
] | 2011-08-03 | [
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Donagi",
"Ron",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | We present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi-Yau threefold. For specificity, the vector bundle moduli superpotential, for a vector bundle with structure group G=SU(3), generated by a heterotic superstring wrapped once over an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly calculated. Its locus of critical points is discussed. Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory. |
2209.03678 | Peter M. Lavrov | P.M. Lavrov | Gauge-invariant models of interacting fields with spins 3,1 and 0 | 8 pages. arXiv admin note: text overlap with arXiv:2208.05700, v2:
typos corrected, ref added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | New local gauge-invariant models of interacting fields with spins 3, 1 and 0
are found. The construction of the models is completely based on the new
approach to the deformation problem proposed in our papers (Buchbinder and
Lavrov in JHEP 06: 097, 2021; Buchbinder and Lavrov in Eur. Phys. J. C 81:856,
2021; Lavrov in Eur. Phys. J. C 82:429, 2022). The approach allows to describe
the deformation procedure for theories with gauge freedom in an explicit and
closed form in terms of special anticanonical transformations of the
Batalin-Vilkovisky formalism. The action of the models appears as a local part
of the deformed action which is represented by a functional of the fourth order
in fields. This functional is invariant under original gauge transformations.
| [
{
"created": "Thu, 8 Sep 2022 09:43:00 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2022 11:12:47 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Sep 2022 12:52:18 GMT",
"version": "v3"
}
] | 2022-09-30 | [
[
"Lavrov",
"P. M.",
""
]
] | New local gauge-invariant models of interacting fields with spins 3, 1 and 0 are found. The construction of the models is completely based on the new approach to the deformation problem proposed in our papers (Buchbinder and Lavrov in JHEP 06: 097, 2021; Buchbinder and Lavrov in Eur. Phys. J. C 81:856, 2021; Lavrov in Eur. Phys. J. C 82:429, 2022). The approach allows to describe the deformation procedure for theories with gauge freedom in an explicit and closed form in terms of special anticanonical transformations of the Batalin-Vilkovisky formalism. The action of the models appears as a local part of the deformed action which is represented by a functional of the fourth order in fields. This functional is invariant under original gauge transformations. |
hep-th/0110208 | Roland E. Allen | Roland E. Allen | Dark Matter, Quantum Gravity, Vacuum Energy, and Lorentz Invariance | 5 pages; to be published in the proceedings of the Second Meeting on
CPT and Lorentz Symmetry, edited by V. A. Kostelecky (World Scientific,
Singapore, 2002) | null | 10.1142/9789812778123_0030 | null | hep-th | null | We discuss the problems of dark matter, quantum gravity, and vacuum energy
within the context of a theory for which Lorentz invariance is not postulated,
but instead emerges as a natural consequence in the physical regimes where it
has been tested.
| [
{
"created": "Tue, 23 Oct 2001 18:31:37 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Allen",
"Roland E.",
""
]
] | We discuss the problems of dark matter, quantum gravity, and vacuum energy within the context of a theory for which Lorentz invariance is not postulated, but instead emerges as a natural consequence in the physical regimes where it has been tested. |
hep-th/0503085 | Christoph Stephan A. | Jan-H. Jureit, Christoph A. Stephan | Finding the Standard Model of Particle Physics, A Combinatorial Problem | null | Comput.Phys.Commun.178:230-247,2008 | 10.1016/j.cpc.2007.02.115 | null | hep-th physics.comp-ph | null | We present a combinatorial problem which consists in finding irreducible
Krajewski diagrams from finite geometries. This problem boils down to placing
arrows into a quadratic array with some additional constrains. The Krajewski
diagrams play a central role in the description of finite noncommutative
geometries. They allow to localise the standard model of particle physics
within the set of all Yang-Mills-Higgs models.
| [
{
"created": "Thu, 10 Mar 2005 11:37:05 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2005 12:56:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jureit",
"Jan-H.",
""
],
[
"Stephan",
"Christoph A.",
""
]
] | We present a combinatorial problem which consists in finding irreducible Krajewski diagrams from finite geometries. This problem boils down to placing arrows into a quadratic array with some additional constrains. The Krajewski diagrams play a central role in the description of finite noncommutative geometries. They allow to localise the standard model of particle physics within the set of all Yang-Mills-Higgs models. |
0710.3895 | Partouche Herv\'e | Tristan Catelin-Jullien, Costas Kounnas, Herve Partouche and Nicolaos
Toumbas | Thermal/quantum effects and induced superstring cosmologies | v4: 57 pages, 9 figures, modified discussion on Wilson lines | Nucl.Phys.B797:137-178,2008 | 10.1016/j.nuclphysb.2007.12.030 | LPTENS-07/50, CPHT-RR085.0707 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider classical superstring theories on flat four dimensional
space-times, and where N=4 or N=2 supersymmetry is spontaneously broken. We
obtain the thermal and quantum corrections at the string one-loop level and
show that the back-reaction on the space-time metric induces a cosmological
evolution. We concentrate on heterotic string models obtained by
compactification on a T^6 torus and on T^6/Z_2 orbifolds. The temperature T and
the supersymmetry breaking scale M are generated via the Scherk-Schwarz
mechanism on the Euclidean time cycle and on an internal spatial cycle
respectively. The effective field theory corresponds to a no-scale
supergravity, where the corresponding no-scale modulus controls the
Susy-breaking scale. The classical flatness of this modulus is lifted by an
effective thermal potential, given by the free energy. The gravitational field
equations admit solutions where M, T and the inverse scale factor 1/a of the
universe remain proportional. In particular the ratio M/T is fixed during the
time evolution. The induced cosmology is governed by a Friedmann-Hubble
equation involving an effective radiation term ~1/a^4 and an effective
curvature term ~1/a^2, whose coefficients are functions of the complex
structure ratio M/T.
| [
{
"created": "Mon, 22 Oct 2007 16:50:49 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2007 17:23:29 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Jan 2008 16:45:16 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Apr 2009 09:38:04 GMT",
"version": "v4"
}
] | 2009-04-02 | [
[
"Catelin-Jullien",
"Tristan",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Partouche",
"Herve",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] | We consider classical superstring theories on flat four dimensional space-times, and where N=4 or N=2 supersymmetry is spontaneously broken. We obtain the thermal and quantum corrections at the string one-loop level and show that the back-reaction on the space-time metric induces a cosmological evolution. We concentrate on heterotic string models obtained by compactification on a T^6 torus and on T^6/Z_2 orbifolds. The temperature T and the supersymmetry breaking scale M are generated via the Scherk-Schwarz mechanism on the Euclidean time cycle and on an internal spatial cycle respectively. The effective field theory corresponds to a no-scale supergravity, where the corresponding no-scale modulus controls the Susy-breaking scale. The classical flatness of this modulus is lifted by an effective thermal potential, given by the free energy. The gravitational field equations admit solutions where M, T and the inverse scale factor 1/a of the universe remain proportional. In particular the ratio M/T is fixed during the time evolution. The induced cosmology is governed by a Friedmann-Hubble equation involving an effective radiation term ~1/a^4 and an effective curvature term ~1/a^2, whose coefficients are functions of the complex structure ratio M/T. |
hep-th/9904190 | J. Barbon | J.L.F. Barbon and A. Pasquinucci | Aspects of Instanton Dynamics in AdS/CFT Duality | 12 pages, Latex, two eps figures | Phys.Lett. B458 (1999) 288-296 | 10.1016/S0370-2693(99)00607-3 | IFUM-642/FT, Bicocca-FT-99-08, SPIN-99-10 | hep-th | null | We consider aspects of instanton dynamics in the large-N limit using the
AdS/CFT duality for D0/D4 bound states. In the supergravity picture of wrapped
D0-brane world-lines on D4-branes, we find the single-instanton measure and
discuss its dependence on compactification finite-size effects, as well as its
matching to perturbative results. In the non-supersymmetric case, the same
dynamical effects that produce the theta-angle dependence perturbatively in
1/N, render the instantons unstable, although approximate instantons of very
small size still exist. The smeared D0/D4 black-brane supergravity solution can
be interpreted as dual to a field theory configuration of an instanton
condensate in the vacuum. In this case, we derive a holographic relation
between the bare theta angle and the topological charge density of the
instanton condensate.
| [
{
"created": "Tue, 27 Apr 1999 16:47:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Barbon",
"J. L. F.",
""
],
[
"Pasquinucci",
"A.",
""
]
] | We consider aspects of instanton dynamics in the large-N limit using the AdS/CFT duality for D0/D4 bound states. In the supergravity picture of wrapped D0-brane world-lines on D4-branes, we find the single-instanton measure and discuss its dependence on compactification finite-size effects, as well as its matching to perturbative results. In the non-supersymmetric case, the same dynamical effects that produce the theta-angle dependence perturbatively in 1/N, render the instantons unstable, although approximate instantons of very small size still exist. The smeared D0/D4 black-brane supergravity solution can be interpreted as dual to a field theory configuration of an instanton condensate in the vacuum. In this case, we derive a holographic relation between the bare theta angle and the topological charge density of the instanton condensate. |
1108.0002 | Piotr Sulkowski | Sergei Gukov, Piotr Su{\l}kowski | A-polynomial, B-model, and Quantization | 58 pages, 5 figures, minor modifications, references added | JHEP 1202 (2012) 070 | 10.1007/JHEP02(2012)070 | CALT-68-2842 | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exact solution to many problems in mathematical physics and quantum field
theory often can be expressed in terms of an algebraic curve equipped with a
meromorphic differential. Typically, the geometry of the curve can be seen most
clearly in a suitable semi-classical limit, as $\hbar \to 0$, and becomes
non-commutative or "quantum" away from this limit. For a classical curve
defined by the zero locus of a polynomial $A(x,y)$, we provide a construction
of its non-commutative counterpart $\hat{A} (\hat x, \hat y)$ using the
technique of the topological recursion. This leads to a powerful and systematic
algorithm for computing $\hat{A}$ that, surprisingly, turns out to be much
simpler than any of the existent methods. In particular, as a bonus feature of
our approach comes a curious observation that, for all curves that come from
knots or topological strings, their non-commutative counterparts can be
determined just from the first few steps of the topological recursion. We also
propose a K-theory criterion for a curve to be "quantizable," and then apply
our construction to many examples that come from applications to knots,
strings, instantons, and random matrices.
| [
{
"created": "Fri, 29 Jul 2011 20:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jun 2012 19:15:08 GMT",
"version": "v2"
}
] | 2012-06-13 | [
[
"Gukov",
"Sergei",
""
],
[
"Sułkowski",
"Piotr",
""
]
] | Exact solution to many problems in mathematical physics and quantum field theory often can be expressed in terms of an algebraic curve equipped with a meromorphic differential. Typically, the geometry of the curve can be seen most clearly in a suitable semi-classical limit, as $\hbar \to 0$, and becomes non-commutative or "quantum" away from this limit. For a classical curve defined by the zero locus of a polynomial $A(x,y)$, we provide a construction of its non-commutative counterpart $\hat{A} (\hat x, \hat y)$ using the technique of the topological recursion. This leads to a powerful and systematic algorithm for computing $\hat{A}$ that, surprisingly, turns out to be much simpler than any of the existent methods. In particular, as a bonus feature of our approach comes a curious observation that, for all curves that come from knots or topological strings, their non-commutative counterparts can be determined just from the first few steps of the topological recursion. We also propose a K-theory criterion for a curve to be "quantizable," and then apply our construction to many examples that come from applications to knots, strings, instantons, and random matrices. |
1208.4509 | Sang-Heon Yi | Yongjoon Kwon, Soonkeon Nam, Jong-Dae Park, Sang-Heon Yi | Extremal Black Holes and Holographic C-Theorem | 1+31 pages, no figure, v2: some improvements, accepted for
publication in Nucl. Phys. B | Nucl.Phys. B869 (2013) | 10.1016/j.nuclphysb.2012.12.016 | CQUeST--2012-0549 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We found Bogomol'nyi type of the first order differential equations in three
dimensional Einstein gravity and the effective second order ones in new massive
gravity when an interacting scalar field is minimally coupled. Using these
equations in Einstein gravity, we obtain analytic solutions corresponding to
extremally rotating hairy black holes. We also obtain perturbatively extremal
black hole solutions in new massive gravity using these lower order
differential equations. All these solutions have the anti de-Sitter spaces as
their asymptotic geometries and as the near horizon ones. This feature of
solutions interpolating two anti de-Sitter spaces leads to the construction of
holographic c-theorem in these cases. Since our lower order equations reduce
naturally to the well-known equations for domain walls, our results can be
regarded as the natural extension of domain walls to more generic cases.
| [
{
"created": "Wed, 22 Aug 2012 14:31:19 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2012 08:12:34 GMT",
"version": "v2"
}
] | 2013-04-03 | [
[
"Kwon",
"Yongjoon",
""
],
[
"Nam",
"Soonkeon",
""
],
[
"Park",
"Jong-Dae",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We found Bogomol'nyi type of the first order differential equations in three dimensional Einstein gravity and the effective second order ones in new massive gravity when an interacting scalar field is minimally coupled. Using these equations in Einstein gravity, we obtain analytic solutions corresponding to extremally rotating hairy black holes. We also obtain perturbatively extremal black hole solutions in new massive gravity using these lower order differential equations. All these solutions have the anti de-Sitter spaces as their asymptotic geometries and as the near horizon ones. This feature of solutions interpolating two anti de-Sitter spaces leads to the construction of holographic c-theorem in these cases. Since our lower order equations reduce naturally to the well-known equations for domain walls, our results can be regarded as the natural extension of domain walls to more generic cases. |
1001.4253 | Victor Red'kov | V.S. Otchik, V.M. Red'kov | Electromagnetic Waves in the De Sitter Space | 19 pages; This paper is based on the old one: V.S. Otchik, V.M.
Red'kov. Spherical waves of electric, magnetic and longitudinal types in de
Sitter space. Minsk (1986). 44 pages. Deposited in VINITI 16.12.86, 8641 -
B86 (in Russian) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | 5-Dimensional wave equation for a massive particle of spin 1 in the
background of de Sitter space-time model is solved in static coordinates. The
spherical 5-dimensional vectors $A_{a}, a= 1,...,5$ of three types, $j,j+1,
j-1$ are constructed. In massless case they give electromagnetic wave
solutions, obeying the Lorentz condition. 5-form of equations in massless case
is used to produce recipe to build electromagnetic wave solutions of the types
$\Pi, E,M$; the first is trivial and can be removed by a gauge ransformation.
The recipe is specified to produce spherical $\Pi, E, M$ solutions in static
coordinates.
| [
{
"created": "Sun, 24 Jan 2010 16:28:16 GMT",
"version": "v1"
}
] | 2010-01-26 | [
[
"Otchik",
"V. S.",
""
],
[
"Red'kov",
"V. M.",
""
]
] | 5-Dimensional wave equation for a massive particle of spin 1 in the background of de Sitter space-time model is solved in static coordinates. The spherical 5-dimensional vectors $A_{a}, a= 1,...,5$ of three types, $j,j+1, j-1$ are constructed. In massless case they give electromagnetic wave solutions, obeying the Lorentz condition. 5-form of equations in massless case is used to produce recipe to build electromagnetic wave solutions of the types $\Pi, E,M$; the first is trivial and can be removed by a gauge ransformation. The recipe is specified to produce spherical $\Pi, E, M$ solutions in static coordinates. |
1108.1393 | Anastasios Petkou | Robert G. Leigh, Anastasios C. Petkou and P. Marios Petropoulos | Holographic Three-Dimensional Fluids with Nontrivial Vorticity | 4 pages | null | 10.1103/PhysRevD.85.086010 | null | hep-th cond-mat.other cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Three-dimensional fluids with nontrivial vorticity can be described
holographically. It is well-known that the Kerr-AdS geometry gives rise to a
cyclonic flow. Here we note that Taub--NUT--AdS4 geometries give rise to a
rotating fluid with vortex flow. The Randers and Zermelo forms of the boundary
metrics provide alternative descriptions of the fluid by inertial co-moving or
by accelerated observers. Such fluids possess acoustic horizons. Moreover,
light propagation on the boundary Taub--NUT fluid will encounter an optical
horizon associated with closed timelike curves. In the latter case the Misner
string introduces a multi-valuedness of the scalar fluctuations which can be
attributed to the anyonic nature of the boundary vortex.
| [
{
"created": "Fri, 5 Aug 2011 20:00:01 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Leigh",
"Robert G.",
""
],
[
"Petkou",
"Anastasios C.",
""
],
[
"Petropoulos",
"P. Marios",
""
]
] | Three-dimensional fluids with nontrivial vorticity can be described holographically. It is well-known that the Kerr-AdS geometry gives rise to a cyclonic flow. Here we note that Taub--NUT--AdS4 geometries give rise to a rotating fluid with vortex flow. The Randers and Zermelo forms of the boundary metrics provide alternative descriptions of the fluid by inertial co-moving or by accelerated observers. Such fluids possess acoustic horizons. Moreover, light propagation on the boundary Taub--NUT fluid will encounter an optical horizon associated with closed timelike curves. In the latter case the Misner string introduces a multi-valuedness of the scalar fluctuations which can be attributed to the anyonic nature of the boundary vortex. |
hep-th/9305100 | Omar Foda | Omar Foda, Michio Jimbo, Tetsuji Miwa, Kei Miki, and Atsushi
Nakayashiki | Vertex operators in solvable lattice models | 41 pages | J.Math.Phys. 35 (1994) 13-46 | 10.1063/1.530783 | null | hep-th nlin.SI solv-int | null | We formulate the basic properties of q-vertex operators in the context of the
Andrews-Baxter-Forrester (ABF) series, as an example of face-interaction
models, derive the q-difference equations satisfied by their correlation
functions, and establish their connection with representation theory. We also
discuss the q-difference equations of the Kashiwara-Miwa (KM) series, as an
example of edge-interaction models. Next, the Ising model--the simplest special
case of both ABF and KM series--is studied in more detail using the
Jordan-Wigner fermions. In particular, all matrix elements of vertex operators
are calculated.
| [
{
"created": "Fri, 21 May 1993 08:51:24 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Foda",
"Omar",
""
],
[
"Jimbo",
"Michio",
""
],
[
"Miwa",
"Tetsuji",
""
],
[
"Miki",
"Kei",
""
],
[
"Nakayashiki",
"Atsushi",
""
]
] | We formulate the basic properties of q-vertex operators in the context of the Andrews-Baxter-Forrester (ABF) series, as an example of face-interaction models, derive the q-difference equations satisfied by their correlation functions, and establish their connection with representation theory. We also discuss the q-difference equations of the Kashiwara-Miwa (KM) series, as an example of edge-interaction models. Next, the Ising model--the simplest special case of both ABF and KM series--is studied in more detail using the Jordan-Wigner fermions. In particular, all matrix elements of vertex operators are calculated. |
1803.09902 | Dine Ousmane Samary | Vincent Lahoche and Dine Ousmane Samary | Unitary symmetry constraints on tensorial group field theory
renormalization group flow | 41 pages | Class. Quantum Grav. 35 (2018) 195006 | 10.1088/1361-6382/aad83f | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | Renormalization group methods are an essential ingredient in the study of
nonperturbative problems of quantum field theory. This paper deal with the
symmetry constraints on the renormalization group flow for quartic melonic
tensorial group field theories. Using the unitary invariance of the
interactions, we provide a set of Ward-Takahashi identities which leads to
relations between correlation functions. There are numerous reasons to consider
such Ward identities in the functional renormalization group. Their
compatibility along the flow provides a non-trivial constraint on the
reliability of the approximation schemes used in the non-perturbative regime,
especially on the truncation and the choice of the regulator. We establish the
so called structure equations in the melonic sector and in the symmetric phase.
As an example we consider the $T^4_5$ TGFT model without gauge constraint. The
Wetterich flow equation is given and the way to improve the truncation on the
effective action is also scrutinized.
| [
{
"created": "Tue, 27 Mar 2018 05:24:28 GMT",
"version": "v1"
},
{
"created": "Sun, 13 May 2018 11:38:19 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Aug 2018 21:08:18 GMT",
"version": "v3"
},
{
"created": "Sat, 25 Aug 2018 17:07:20 GMT",
"version": "v4"
},
{
"created": "Mon, 10 Sep 2018 09:27:41 GMT",
"version": "v5"
},
{
"created": "Mon, 3 Dec 2018 17:15:42 GMT",
"version": "v6"
},
{
"created": "Tue, 13 Aug 2019 16:25:04 GMT",
"version": "v7"
}
] | 2019-08-14 | [
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
]
] | Renormalization group methods are an essential ingredient in the study of nonperturbative problems of quantum field theory. This paper deal with the symmetry constraints on the renormalization group flow for quartic melonic tensorial group field theories. Using the unitary invariance of the interactions, we provide a set of Ward-Takahashi identities which leads to relations between correlation functions. There are numerous reasons to consider such Ward identities in the functional renormalization group. Their compatibility along the flow provides a non-trivial constraint on the reliability of the approximation schemes used in the non-perturbative regime, especially on the truncation and the choice of the regulator. We establish the so called structure equations in the melonic sector and in the symmetric phase. As an example we consider the $T^4_5$ TGFT model without gauge constraint. The Wetterich flow equation is given and the way to improve the truncation on the effective action is also scrutinized. |
hep-th/0311114 | Alexandre C. Tort | E Elizalde and A C Tort | On the Casimir energy of a massive scalar field in positive curvature
space | Four pages, latex file; submitted for publication in the Proceedings
of the XXIV Brazilian National Meeting on Particles and Fields held in
Caxambu MG, Brazil September 30 -- October 4, 2003 | null | null | null | hep-th | null | We re-evaluate the zero point Casimir energy for the case of a massive scalar
field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for
deviations from the standard conformal value $\xi =1/6$, by means of zero
temperature zeta function techniques. We show that for the problem at hand this
approach is equivalent to the high temperature regularisation of the vacuum
energy.
| [
{
"created": "Thu, 13 Nov 2003 19:55:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Elizalde",
"E",
""
],
[
"Tort",
"A C",
""
]
] | We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularisation of the vacuum energy. |
2207.02646 | Yakov Shnir | Victor Loiko and Yakov Shnir | Q-ball stress stability criterion in the $U(1)$ gauged scalar theories | 15 pages, 8 fugures, Added new sets of figures, clarifying comments
and references. Matches version accepted for publication in PRD | null | 10.1103/PhysRevD.106.045021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the canonical energy-momentum tensor of the spherically symmetric
$U(1)$ gauged Q-ball configurations in the two-component
Fridberg-Lee-Sirlin-Maxwell model, and in the one-component scalar model with a
sixtic potential. We evaluate the distributions of the corresponding shear
forces and pressure and study the stability criteria for these solutions. It is
shown that the electrostatic repulsion may destabilize the $U(1)$ gauged
Q-balls. However, in the limiting case of the Fridberg-Lee-Sirlin-Maxwell model
with a long ranged real scalar component, the gauged Q-balls always remain
stable.
| [
{
"created": "Wed, 6 Jul 2022 13:13:08 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Aug 2022 07:22:05 GMT",
"version": "v2"
}
] | 2022-09-14 | [
[
"Loiko",
"Victor",
""
],
[
"Shnir",
"Yakov",
""
]
] | We study the canonical energy-momentum tensor of the spherically symmetric $U(1)$ gauged Q-ball configurations in the two-component Fridberg-Lee-Sirlin-Maxwell model, and in the one-component scalar model with a sixtic potential. We evaluate the distributions of the corresponding shear forces and pressure and study the stability criteria for these solutions. It is shown that the electrostatic repulsion may destabilize the $U(1)$ gauged Q-balls. However, in the limiting case of the Fridberg-Lee-Sirlin-Maxwell model with a long ranged real scalar component, the gauged Q-balls always remain stable. |
hep-th/9811116 | Richard Szabo | Nick E. Mavromatos and Richard J. Szabo | D-branes and the Non-commutative Structure of Quantum Spacetime | 20 pages LaTeX, 3 eps figures, uses epsf.sty; Based on talks given by
R.J.S. at SUSY'98, Oxford, England, July 11-17, 1998, and by N.E.M. at the
6th Hellenic School and Workshop on Elementary Particle Physics, TMR project
"Physics Beyond the Standard Model", Corfu, Greece, September 15-18, 1998 | null | null | OUTP-98-76P, NBI-HE-98-36 | hep-th gr-qc hep-ph | null | A worldsheet approach to the study of non-abelian D-particle dynamics is
presented based on viewing matrix-valued D-brane coordinate fields as coupling
constants of a deformed sigma-model which defines a logarithmic conformal field
theory. The short-distance structure of spacetime is shown to be naturally
captured by the Zamolodchikov metric on the corresponding moduli space which
encodes the geometry of the string interactions between D-particles. Spacetime
quantization is induced directly by the string genus expansion and leads to new
forms of uncertainty relations which imply that general relativity at very
short-distance scales is intrinsically described by a non-commutative geometry.
The indeterminancies exhibit decoherence effects suggesting the natural
incorporation of quantum gravity by short-distance D-particle probes. Some
potential experimental tests are briefly described.
| [
{
"created": "Thu, 12 Nov 1998 19:56:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mavromatos",
"Nick E.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | A worldsheet approach to the study of non-abelian D-particle dynamics is presented based on viewing matrix-valued D-brane coordinate fields as coupling constants of a deformed sigma-model which defines a logarithmic conformal field theory. The short-distance structure of spacetime is shown to be naturally captured by the Zamolodchikov metric on the corresponding moduli space which encodes the geometry of the string interactions between D-particles. Spacetime quantization is induced directly by the string genus expansion and leads to new forms of uncertainty relations which imply that general relativity at very short-distance scales is intrinsically described by a non-commutative geometry. The indeterminancies exhibit decoherence effects suggesting the natural incorporation of quantum gravity by short-distance D-particle probes. Some potential experimental tests are briefly described. |
1708.05691 | Dimitrios Giataganas | Dimitrios Giataganas, Umut G\"ursoy, Juan F. Pedraza | Strongly-coupled anisotropic gauge theories and holography | 6 pages, 4 figures; v2: minor improvements, references added, version
accepted for publication in PRL | Phys. Rev. Lett. 121, 121601 (2018) | 10.1103/PhysRevLett.121.121601 | NCTS-TH/1712 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate a non-perturbative study of anisotropic, non-conformal and
confining gauge theories that are holographically realized in gravity by
generic Einstein-Axion-Dilaton systems. In the vacuum our solutions describe RG
flows from a conformal field theory in the UV to generic scaling solutions in
the IR with generic hyperscaling violation and dynamical exponents $\theta$ and
$z$. We formulate a generalization of the holographic c-theorem to the
anisotropic case. At finite temperature, we discover that the anisotropic
deformation reduces the confinement-deconfinement phase transition temperature
suggesting a possible alternative explanation of inverse magnetic catalysis
solely based on anisotropy. We also study transport and diffusion properties in
anisotropic theories and observe in particular that the butterfly velocity that
characterizes both diffusion and growth of chaos transverse to the anisotropic
direction, saturates a constant value in the IR which can exceed the bound
given by the conformal value.
| [
{
"created": "Fri, 18 Aug 2017 16:53:10 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2018 09:10:54 GMT",
"version": "v2"
}
] | 2018-09-25 | [
[
"Giataganas",
"Dimitrios",
""
],
[
"Gürsoy",
"Umut",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | We initiate a non-perturbative study of anisotropic, non-conformal and confining gauge theories that are holographically realized in gravity by generic Einstein-Axion-Dilaton systems. In the vacuum our solutions describe RG flows from a conformal field theory in the UV to generic scaling solutions in the IR with generic hyperscaling violation and dynamical exponents $\theta$ and $z$. We formulate a generalization of the holographic c-theorem to the anisotropic case. At finite temperature, we discover that the anisotropic deformation reduces the confinement-deconfinement phase transition temperature suggesting a possible alternative explanation of inverse magnetic catalysis solely based on anisotropy. We also study transport and diffusion properties in anisotropic theories and observe in particular that the butterfly velocity that characterizes both diffusion and growth of chaos transverse to the anisotropic direction, saturates a constant value in the IR which can exceed the bound given by the conformal value. |
1905.00539 | Clifford V. Johnson | Clifford V. Johnson | Specific Heats and Schottky Peaks for Black Holes in Extended
Thermodynamics | 19 pages, 7 figures, 1 trumpet | Class. Quant. Grav. 37, 054003 (2020) | 10.1088/1361-6382/ab685a | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the extended thermodynamics of black holes, there is a dynamical pressure
and its conjugate volume. The phase structure of many of these black holes has
been studied a great deal and shown to give close analogues of the phase
structure of various ordinary matter systems. However, we point out that the
most studied black holes in this framework, such as Schwarzschild-AdS and
Reissner-Nordstrom-AdS, and various analogues in higher-derivative gravity, do
not have the type of elementary degrees of freedom that play a central role in
the classic models of matter. This is because they have vanishing specific heat
at constant volume, C_V. As examples with non-vanishing C_V, the Kerr-AdS and
STU-AdS black holes do have such degrees of freedom, and a study of C_V(T)
reveals Schottky-like behaviour suggestive of a finite window of energy
excitations. This intriguing physics may have useful applications in fields
such as holographic duality, quantum information, and beyond.
| [
{
"created": "Thu, 2 May 2019 01:03:57 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Johnson",
"Clifford V.",
""
]
] | In the extended thermodynamics of black holes, there is a dynamical pressure and its conjugate volume. The phase structure of many of these black holes has been studied a great deal and shown to give close analogues of the phase structure of various ordinary matter systems. However, we point out that the most studied black holes in this framework, such as Schwarzschild-AdS and Reissner-Nordstrom-AdS, and various analogues in higher-derivative gravity, do not have the type of elementary degrees of freedom that play a central role in the classic models of matter. This is because they have vanishing specific heat at constant volume, C_V. As examples with non-vanishing C_V, the Kerr-AdS and STU-AdS black holes do have such degrees of freedom, and a study of C_V(T) reveals Schottky-like behaviour suggestive of a finite window of energy excitations. This intriguing physics may have useful applications in fields such as holographic duality, quantum information, and beyond. |
hep-th/0602266 | Michael R. Douglas | Michael R. Douglas (Rutgers and IHES) | Understanding the landscape | 10 pages, Latex | null | null | null | hep-th | null | Based on comments made at the 23rd Solvay Conference, December 2005,
Brussels.
| [
{
"created": "Fri, 24 Feb 2006 22:51:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Douglas",
"Michael R.",
"",
"Rutgers and IHES"
]
] | Based on comments made at the 23rd Solvay Conference, December 2005, Brussels. |
2106.05294 | Carlos Duaso Pueyo | Daniel Baumann, Wei-Ming Chen, Carlos Duaso Pueyo, Austin Joyce,
Hayden Lee, Guilherme L. Pimentel | Linking the Singularities of Cosmological Correlators | 69+29 pages, 6 figures; v2: final version for submission, graviton
Compton correlator is now fully derived | null | 10.1007/JHEP09(2022)010 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Much of the structure of cosmological correlators is controlled by their
singularities, which in turn are fixed in terms of flat-space scattering
amplitudes. An important challenge is to interpolate between the singular
limits to determine the full correlators at arbitrary kinematics. This is
particularly relevant because the singularities of correlators are not directly
observable, but can only be accessed by analytic continuation. In this paper,
we study rational correlators, including those of gauge fields, gravitons, and
the inflaton, whose only singularities at tree level are poles and whose
behavior away from these poles is strongly constrained by unitarity and
locality. We describe how unitarity translates into a set of cutting rules that
consistent correlators must satisfy, and explain how this can be used to
bootstrap correlators given information about their singularities. We also
derive recursion relations that allow the iterative construction of more
complicated correlators from simpler building blocks. In flat space, all energy
singularities are simple poles, so that the combination of unitarity
constraints and recursion relations provides an efficient way to bootstrap the
full correlators. In many cases, these flat-space correlators can then be
transformed into their more complex de Sitter counterparts. As an example of
this procedure, we derive the correlator associated to graviton Compton
scattering in de Sitter space, though the methods are much more widely
applicable.
| [
{
"created": "Wed, 9 Jun 2021 18:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Feb 2022 15:43:44 GMT",
"version": "v2"
}
] | 2022-09-21 | [
[
"Baumann",
"Daniel",
""
],
[
"Chen",
"Wei-Ming",
""
],
[
"Pueyo",
"Carlos Duaso",
""
],
[
"Joyce",
"Austin",
""
],
[
"Lee",
"Hayden",
""
],
[
"Pimentel",
"Guilherme L.",
""
]
] | Much of the structure of cosmological correlators is controlled by their singularities, which in turn are fixed in terms of flat-space scattering amplitudes. An important challenge is to interpolate between the singular limits to determine the full correlators at arbitrary kinematics. This is particularly relevant because the singularities of correlators are not directly observable, but can only be accessed by analytic continuation. In this paper, we study rational correlators, including those of gauge fields, gravitons, and the inflaton, whose only singularities at tree level are poles and whose behavior away from these poles is strongly constrained by unitarity and locality. We describe how unitarity translates into a set of cutting rules that consistent correlators must satisfy, and explain how this can be used to bootstrap correlators given information about their singularities. We also derive recursion relations that allow the iterative construction of more complicated correlators from simpler building blocks. In flat space, all energy singularities are simple poles, so that the combination of unitarity constraints and recursion relations provides an efficient way to bootstrap the full correlators. In many cases, these flat-space correlators can then be transformed into their more complex de Sitter counterparts. As an example of this procedure, we derive the correlator associated to graviton Compton scattering in de Sitter space, though the methods are much more widely applicable. |
2012.01366 | Erik Tonni | Mihail Mintchev, Erik Tonni | Modular Hamiltonians for the massless Dirac field in the presence of a
defect | 31 pages, 4 figures | JHEP 03 (2021) 205 | 10.1007/JHEP03(2021)205 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the massless Dirac field on the line in the presence of a point-like
defect characterised by a unitary scattering matrix, that allows both
reflection and transmission. Considering this system in its ground state, we
derive the modular Hamiltonians of the subregion given by the union of two
disjoint equal intervals at the same distance from the defect. The absence of
energy dissipation at the defect implies the existence of two phases, where
either the vector or the axial symmetry is preserved. Besides a local term, the
densities of the modular Hamiltonians contain also a sum of scattering
dependent bi-local terms, which involve two conjugate points generated by the
reflection and the transmission. The modular flows of each component of the
Dirac field mix the trajectory passing through a given initial point with the
ones passing through its reflected and transmitted conjugate points. We derive
the two-point correlation functions along the modular flows in both phases and
show that they satisfy the Kubo-Martin-Schwinger condition. The entanglement
entropies are also computed, finding that they do not depend on the scattering
matrix.
| [
{
"created": "Wed, 2 Dec 2020 18:07:41 GMT",
"version": "v1"
}
] | 2021-04-15 | [
[
"Mintchev",
"Mihail",
""
],
[
"Tonni",
"Erik",
""
]
] | We study the massless Dirac field on the line in the presence of a point-like defect characterised by a unitary scattering matrix, that allows both reflection and transmission. Considering this system in its ground state, we derive the modular Hamiltonians of the subregion given by the union of two disjoint equal intervals at the same distance from the defect. The absence of energy dissipation at the defect implies the existence of two phases, where either the vector or the axial symmetry is preserved. Besides a local term, the densities of the modular Hamiltonians contain also a sum of scattering dependent bi-local terms, which involve two conjugate points generated by the reflection and the transmission. The modular flows of each component of the Dirac field mix the trajectory passing through a given initial point with the ones passing through its reflected and transmitted conjugate points. We derive the two-point correlation functions along the modular flows in both phases and show that they satisfy the Kubo-Martin-Schwinger condition. The entanglement entropies are also computed, finding that they do not depend on the scattering matrix. |
2305.18973 | Rashid Alawadhi | Rashid Alawadhi | Aspects of the Classical Double Copy | PhD thesis | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | This thesis applies the Kerr-Schild and the Weyl double copy formalisms to
study various concepts in the physics literature. First we apply both the
Kerr-Schild and the Weyl double copy to solution generating transformations in
General Relativity, where we identify Ehlers transformation as the double copy
of electromagnetic duality transformation. Secondly, as a spin-off of the Weyl
double copy, we use gauge fields defined on curved spacetimes to construct the
Weyl tensor and study a host of solution of Einstein's equations. This study
provides a test of the non-triviality of the double copy formalism.
The second half of the thesis deals with mathematical concepts of physical
relevance. First we apply the Kerr-Schild double copy to the concept of
holonomy groups of Riemannian manifolds. We find that the single copy of the
Riemannian holonomy operator, which we dub SCH, to be a similar operator
constructed from the single copy gauge-field curvature. This is followed by a
study of this single copy operator on different solutions of Einstein equations
and their respective single copies, where we find that the holonomy and SCH
groups differ for the Taub-NUT metric, while both reducing to $\text{SU}(2)$
for self-dual solutions. Lastly, we apply the Kerr-Schild double copy to the
Ricci flow equation, interpreted as the beta function of the closed string, and
obtain the Yang-Mills flow equation, which is physically interpreted as the
beta function of the open string coupled to a gauge field.
| [
{
"created": "Tue, 30 May 2023 12:13:54 GMT",
"version": "v1"
}
] | 2023-05-31 | [
[
"Alawadhi",
"Rashid",
""
]
] | This thesis applies the Kerr-Schild and the Weyl double copy formalisms to study various concepts in the physics literature. First we apply both the Kerr-Schild and the Weyl double copy to solution generating transformations in General Relativity, where we identify Ehlers transformation as the double copy of electromagnetic duality transformation. Secondly, as a spin-off of the Weyl double copy, we use gauge fields defined on curved spacetimes to construct the Weyl tensor and study a host of solution of Einstein's equations. This study provides a test of the non-triviality of the double copy formalism. The second half of the thesis deals with mathematical concepts of physical relevance. First we apply the Kerr-Schild double copy to the concept of holonomy groups of Riemannian manifolds. We find that the single copy of the Riemannian holonomy operator, which we dub SCH, to be a similar operator constructed from the single copy gauge-field curvature. This is followed by a study of this single copy operator on different solutions of Einstein equations and their respective single copies, where we find that the holonomy and SCH groups differ for the Taub-NUT metric, while both reducing to $\text{SU}(2)$ for self-dual solutions. Lastly, we apply the Kerr-Schild double copy to the Ricci flow equation, interpreted as the beta function of the closed string, and obtain the Yang-Mills flow equation, which is physically interpreted as the beta function of the open string coupled to a gauge field. |
hep-th/0102020 | Uwe Trittmann | Uwe Trittmann | SDLCQ and String/Field Theory Correspondences | 9 pp., 3 figures, uses espcrc2.sty. Contribution to the "30 Years of
Supersymmetry" Proceedings, to appear in Nucl.Phys.Proc.Suppl | Nucl.Phys.Proc.Suppl. 101 (2001) 314-322 | 10.1016/S0920-5632(01)01516-X | null | hep-th hep-ph | null | String/Field theory correspondences have been discussed heavily in recent
years. Here, we describe a testing scenario involving a non-perturbative field
theory calculation using the framework of supersymmetric discrete light-cone
quantization (SDLCQ). We consider a Maldacena-type conjecture applied to the
near horizon geometry of a D1-brane in the supergravity approximation.
Numerical results of a test of this conjecture are presented with orders of
magnitude more states than we previously considered. These results support the
Maldacena conjecture and are within 10-15% of the predicted results. We present
a method for using a ``flavor'' symmetry to greatly reduce the size of the Fock
basis and discuss a numerical method that we use which is particularly well
suited for this type of matrix element calculation. Our results are still not
sufficient to demonstrate convergence, and, therefore, cannot be considered to
be a numerical proof of the conjecture. We update our continuous efforts to
improve on these results and present some results on the way to higher
dimensional scenarios.
| [
{
"created": "Mon, 5 Feb 2001 17:05:11 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Trittmann",
"Uwe",
""
]
] | String/Field theory correspondences have been discussed heavily in recent years. Here, we describe a testing scenario involving a non-perturbative field theory calculation using the framework of supersymmetric discrete light-cone quantization (SDLCQ). We consider a Maldacena-type conjecture applied to the near horizon geometry of a D1-brane in the supergravity approximation. Numerical results of a test of this conjecture are presented with orders of magnitude more states than we previously considered. These results support the Maldacena conjecture and are within 10-15% of the predicted results. We present a method for using a ``flavor'' symmetry to greatly reduce the size of the Fock basis and discuss a numerical method that we use which is particularly well suited for this type of matrix element calculation. Our results are still not sufficient to demonstrate convergence, and, therefore, cannot be considered to be a numerical proof of the conjecture. We update our continuous efforts to improve on these results and present some results on the way to higher dimensional scenarios. |
hep-th/9509131 | null | Paul Federbush | A Gauge-Invariant Regularization of the Weyl Determinant Using Wavelets | 11 pages, latex | null | null | null | hep-th | null | In line with a previous paper, a gauge-invariant regularization is developed
for the Weyl determinant of a Euclidean gauged chiral fermion. We restrict
ourselves to gauge configurations with the $A$ field going to zero at infinity
in Euclidean space; and thus restrict gauge transformations to those with $U$
the identity at infinity. For each finite cutoff one gets a strictly
gauge-invariant expression for the Weyl determinant. Full Euclidean invariance
is only to be sought in the limit of removing the cutoff. We expect the limit
to be Euclidean invariant, but this has not yet been proved. One need not
enforce the no-anomaly condition on the representation of the gauge group! We
leave to future research relating the present results to conventional physics
wisdom.
| [
{
"created": "Sun, 24 Sep 1995 14:28:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Federbush",
"Paul",
""
]
] | In line with a previous paper, a gauge-invariant regularization is developed for the Weyl determinant of a Euclidean gauged chiral fermion. We restrict ourselves to gauge configurations with the $A$ field going to zero at infinity in Euclidean space; and thus restrict gauge transformations to those with $U$ the identity at infinity. For each finite cutoff one gets a strictly gauge-invariant expression for the Weyl determinant. Full Euclidean invariance is only to be sought in the limit of removing the cutoff. We expect the limit to be Euclidean invariant, but this has not yet been proved. One need not enforce the no-anomaly condition on the representation of the gauge group! We leave to future research relating the present results to conventional physics wisdom. |
hep-th/9403025 | Hiroo Azuma | Hiroo Azuma | $W_{\infty}$ algebra in the integer quantum Hall effects | 23 pages, UT-671 | Prog.Theor.Phys. 92 (1994) 293-308 | 10.1143/ptp/92.2.293 | null | hep-th cond-mat | null | We investigate the $W_{\infty}$ algebra in the integer quantum Hall effects.
Defining the simplest vacuum, the Dirac sea, we evaluate the central extension
for this algebra. A new algebra which contains the central extension is called
the $W_{1+\infty}$ algebra. We show that this $W_{1+\infty}$ algebra is an
origin of the Kac-Moody algebra which determines the behavior of edge states of
the system. We discuss the relation between the $W_{1+\infty}$ algebra and the
incompressibility of the integer quantum Hall system.
| [
{
"created": "Fri, 4 Mar 1994 11:00:53 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 1994 05:02:22 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Azuma",
"Hiroo",
""
]
] | We investigate the $W_{\infty}$ algebra in the integer quantum Hall effects. Defining the simplest vacuum, the Dirac sea, we evaluate the central extension for this algebra. A new algebra which contains the central extension is called the $W_{1+\infty}$ algebra. We show that this $W_{1+\infty}$ algebra is an origin of the Kac-Moody algebra which determines the behavior of edge states of the system. We discuss the relation between the $W_{1+\infty}$ algebra and the incompressibility of the integer quantum Hall system. |
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