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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0801.3701 | R. Loganayagam | R. Loganayagam | Entropy Current in Conformal Hydrodynamics | LaTeX, 26 pages, fixed typos | JHEP 0805:087,2008. | 10.1088/1126-6708/2008/05/087 | TIFR/TH/08-05 | hep-th | null | In recent work (arXiv:0712.2456, arXiv:0712.2451) the energy-momentum tensor
for the N=4 SYM fluid was computed up to second derivative terms using
holographic methods. The aim of this note is to propose an entropy current
(accurate up to second derivative terms) consistent with this energy-momentum
tensor and to explicate its relation with the existing theories of relativistic
hydrodynamics. In order to achieve this, we first develop a Weyl-covariant
formalism which simplifies the study of conformal hydrodynamics. This naturally
leads us to a proposal for the entropy current of an arbitrary conformal fluid
in any spacetime (with d>3). In particular, this proposal translates into a
definite expression for the entropy flux in the case of N=4 SYM fluid. We
conclude this note by comparing the formalism presented here with the
conventional Israel-Stewart formalism.
| [
{
"created": "Thu, 24 Jan 2008 04:20:02 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Apr 2008 23:01:44 GMT",
"version": "v2"
}
] | 2008-05-30 | [
[
"Loganayagam",
"R.",
""
]
] | In recent work (arXiv:0712.2456, arXiv:0712.2451) the energy-momentum tensor for the N=4 SYM fluid was computed up to second derivative terms using holographic methods. The aim of this note is to propose an entropy current (accurate up to second derivative terms) consistent with this energy-momentum tensor and to explicate its relation with the existing theories of relativistic hydrodynamics. In order to achieve this, we first develop a Weyl-covariant formalism which simplifies the study of conformal hydrodynamics. This naturally leads us to a proposal for the entropy current of an arbitrary conformal fluid in any spacetime (with d>3). In particular, this proposal translates into a definite expression for the entropy flux in the case of N=4 SYM fluid. We conclude this note by comparing the formalism presented here with the conventional Israel-Stewart formalism. |
2009.01613 | Matheus Araujo Marques | D. Bazeia, L. Losano, M.A. Marques and R. Menezes | New twinlike models for scalar fields | 5 pages; published in EPL | EPL 131 (2020) 31002 | 10.1209/0295-5075/131/31002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work investigates twinlike scalar field models that support kinks with
the same energy density and stability. We find the first order equations
compatible with the equations of motion. We use them to calculate the
conditions under which they attain the twinlike character. The linear stability
is also investigated, and there we show that the addition of extra requirements
may lead to the same stability under small fluctuations.
| [
{
"created": "Thu, 3 Sep 2020 12:37:13 GMT",
"version": "v1"
}
] | 2020-09-04 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | This work investigates twinlike scalar field models that support kinks with the same energy density and stability. We find the first order equations compatible with the equations of motion. We use them to calculate the conditions under which they attain the twinlike character. The linear stability is also investigated, and there we show that the addition of extra requirements may lead to the same stability under small fluctuations. |
hep-th/9603202 | null | L. H. Kauffman (Univ. Illinois) and H. P. Noyes (SLAC) | Discrete Physics and the Dirac Equation | LaTex 16 pages, 10 figures. To obtain a copy, send e-mail to
techpub@slac.stanford.edu | Phys.Lett. A218 (1996) 139-146 | 10.1016/0375-9601(96)00436-7 | SLAC-PUB-7115 | hep-th quant-ph | null | We rewrite the 1+1 Dirac equation in light cone coordinates in two
significant forms, and solve them exactly using the classical calculus of
finite differences. The complex form yields ``Feynman's Checkerboard''---a
weighted sum over lattice paths. The rational, real form can also be
interpreted in terms of bit-strings.
| [
{
"created": "Fri, 29 Mar 1996 20:36:16 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kauffman",
"L. H.",
"",
"Univ. Illinois"
],
[
"Noyes",
"H. P.",
"",
"SLAC"
]
] | We rewrite the 1+1 Dirac equation in light cone coordinates in two significant forms, and solve them exactly using the classical calculus of finite differences. The complex form yields ``Feynman's Checkerboard''---a weighted sum over lattice paths. The rational, real form can also be interpreted in terms of bit-strings. |
0708.3348 | J. R. S. Nascimento | T. Mariz, J. R. Nascimento, A. Yu. Petrov, L. Y. Santos, A. J. da
Silva | Lorentz violation and the proper-time method | 11 pages, Revtex4 | Phys.Lett.B661:312-318,2008 | 10.1016/j.physletb.2007.10.089 | null | hep-th | null | In this paper, we apply the proper-time method to generate the
Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and
non-linearized gravity theories. It is shown that the coefficient of the
induced Chern-Simons term is finite but regularization dependent.
| [
{
"created": "Fri, 24 Aug 2007 14:12:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Santos",
"L. Y.",
""
],
[
"da Silva",
"A. J.",
""
]
] | In this paper, we apply the proper-time method to generate the Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and non-linearized gravity theories. It is shown that the coefficient of the induced Chern-Simons term is finite but regularization dependent. |
hep-th/0304166 | Humberto Belich Junior | H. Belich, J. L. Boldo, L. P. Colatto, J.A. Helayel-Neto and A.L.M.A.
Nogueira | Supersymmetric Extension of the Lorentz and CPT-Violating
Maxwell-Chern-Simons Model | revtex4, 4 pages, no figures | Phys.Rev. D68 (2003) 065030 | 10.1103/PhysRevD.68.065030 | null | hep-th | null | Focusing on gauge degrees of freedom specified by a 1+3 dimensions model
hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like
contribution, we obtain a minimal extension of such a system to a
supersymmetric environment. We comment on resulting peculiar self-couplings for
the gauge sector, as well as on background contribution for gaugino masses.
Furthermore, a non-polynomial generalization is presented.
| [
{
"created": "Fri, 18 Apr 2003 00:57:11 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Apr 2003 21:27:27 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Belich",
"H.",
""
],
[
"Boldo",
"J. L.",
""
],
[
"Colatto",
"L. P.",
""
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"Nogueira",
"A. L. M. A.",
""
]
] | Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric environment. We comment on resulting peculiar self-couplings for the gauge sector, as well as on background contribution for gaugino masses. Furthermore, a non-polynomial generalization is presented. |
2211.13861 | Tatsuki Nakajima | Tatsuki Nakajima, Tadakatsu Sakai, Ryo Yokokura | Higher-group structure in $2n$-dimensional axion-electrodynamics | 29 pages, 6 figures | null | 10.1007/JHEP01(2023)150 | KEK-TH-2475 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate $2n$-dimensional axion electrodynamics for the purpose of
exploring a higher-group structure underlying it. This is manifested as a
Green-Schwarz transformation of the background gauge fields that couple
minimally to the conserved currents. The $n=3$ case is studied most
intensively. We derive the identities of correlation functions among the global
symmetry generators by using a gauge transformation that maps two correlation
functions with each other. A key ingredient in this computation is given by the
Green-Schwarz transformation and the 't Hooft anomalies associated with the
gauge transformation. The algebraic structure of these results and its physical
interpretations are discussed in detail. In particular, we find that the
higher-group structure for $n=3$ is endowed with a multi-ary operation among
the symmetry generators.
| [
{
"created": "Fri, 25 Nov 2022 02:19:39 GMT",
"version": "v1"
}
] | 2023-02-15 | [
[
"Nakajima",
"Tatsuki",
""
],
[
"Sakai",
"Tadakatsu",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We investigate $2n$-dimensional axion electrodynamics for the purpose of exploring a higher-group structure underlying it. This is manifested as a Green-Schwarz transformation of the background gauge fields that couple minimally to the conserved currents. The $n=3$ case is studied most intensively. We derive the identities of correlation functions among the global symmetry generators by using a gauge transformation that maps two correlation functions with each other. A key ingredient in this computation is given by the Green-Schwarz transformation and the 't Hooft anomalies associated with the gauge transformation. The algebraic structure of these results and its physical interpretations are discussed in detail. In particular, we find that the higher-group structure for $n=3$ is endowed with a multi-ary operation among the symmetry generators. |
2106.10741 | Biswajit Sahoo | Debodirna Ghosh and Biswajit Sahoo | Spin Dependent Gravitational Tail Memory in $D=4$ | 42 pages, 2 figures. The discrepancy between conjectured result and
the result of direct derivation has been resolved | null | 10.1103/PhysRevD.105.025024 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-sa/4.0/ | We derive the leading spin-dependent gravitational tail memory, which appears
at the second post-Minkowskian (2 PM) order and behaves as $u^{-2}$ for large
retarded time $u$. This result follows from classical soft graviton theorem at
order $\omega\ln\omega$ as a low-frequency expansion of gravitational waveform
with frequency $\omega$. First, we conjecture the result from the classical
limit of quantum soft graviton theorem up to sub-subleading order in soft
expansion and then we derive it for a classical scattering process without any
reference to the soft graviton theorem. The final result of the gravitational
waveform in the direct derivation completely agrees with the conjectured
result.
| [
{
"created": "Sun, 20 Jun 2021 19:19:56 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2021 19:06:35 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Dec 2021 17:07:29 GMT",
"version": "v3"
}
] | 2022-02-09 | [
[
"Ghosh",
"Debodirna",
""
],
[
"Sahoo",
"Biswajit",
""
]
] | We derive the leading spin-dependent gravitational tail memory, which appears at the second post-Minkowskian (2 PM) order and behaves as $u^{-2}$ for large retarded time $u$. This result follows from classical soft graviton theorem at order $\omega\ln\omega$ as a low-frequency expansion of gravitational waveform with frequency $\omega$. First, we conjecture the result from the classical limit of quantum soft graviton theorem up to sub-subleading order in soft expansion and then we derive it for a classical scattering process without any reference to the soft graviton theorem. The final result of the gravitational waveform in the direct derivation completely agrees with the conjectured result. |
0907.4221 | Mihail Mintchev | Brando Bellazzini, Mihail Mintchev and Paul Sorba | Quantum wire junctions breaking time reversal invariance | Extended version (Appendices C and D and some references added, typos
corrected) to appear in Phys. Rev. B | Phys.Rev.B80:245441,2009 | 10.1103/PhysRevB.80.245441 | IFUP-TH/2009-14 | hep-th cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the possibility to break time reversal invariance at the junction
of quantum wires. The universal features in the bulk of the wires are described
by the anyon Luttinger liquid. A simple necessary and sufficient condition for
the breaking of time reversal invariance is formulated in terms of the
scattering matrix at the junction. The phase diagram of a junction with generic
number of wires is investigated in this framework. We give an explicit
classification of those critical points which can be reached by bosonization
and study the interplay between their stability and symmetry content.
| [
{
"created": "Fri, 24 Jul 2009 06:11:31 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2009 08:29:18 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Bellazzini",
"Brando",
""
],
[
"Mintchev",
"Mihail",
""
],
[
"Sorba",
"Paul",
""
]
] | We explore the possibility to break time reversal invariance at the junction of quantum wires. The universal features in the bulk of the wires are described by the anyon Luttinger liquid. A simple necessary and sufficient condition for the breaking of time reversal invariance is formulated in terms of the scattering matrix at the junction. The phase diagram of a junction with generic number of wires is investigated in this framework. We give an explicit classification of those critical points which can be reached by bosonization and study the interplay between their stability and symmetry content. |
2211.06467 | Miguel Vazquez-Mozo | Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo | Anomalies and the Green-Schwarz Mechanism | 43 pages. Invited chapter for "Handbook of Quantum Gravity" (Eds. C.
Bambi, L. Modesto, and I. L. Shapiro, Springer 2023). v2: minor changes,
typos corrected, and references hyperlinks added. It matches the published
version | null | 10.1007/978-981-19-3079-9_68-1 | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Anomalies are a very powerful tool in constraining theories beyond the
standard model. We give a pedagogical overview of some topics illustrating the
important role played by spacetime anomalies in string theory. After discussing
the general problem of anomaly cancellation in quantum field theory, the focus
is set on the cancellation of anomalies in type-I string theory through the
Green-Schwarz mechanism. The notion of anomaly inflow is also reviewed, as well
as its application to the evaluation of D-brane anomalous couplings. Finally,
we briefly comment on recent developments concerning the reformulation of
anomalies in the language of category theory.
| [
{
"created": "Fri, 11 Nov 2022 20:04:14 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2024 10:38:16 GMT",
"version": "v2"
}
] | 2024-02-05 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] | Anomalies are a very powerful tool in constraining theories beyond the standard model. We give a pedagogical overview of some topics illustrating the important role played by spacetime anomalies in string theory. After discussing the general problem of anomaly cancellation in quantum field theory, the focus is set on the cancellation of anomalies in type-I string theory through the Green-Schwarz mechanism. The notion of anomaly inflow is also reviewed, as well as its application to the evaluation of D-brane anomalous couplings. Finally, we briefly comment on recent developments concerning the reformulation of anomalies in the language of category theory. |
1212.5114 | Stefan Rechenberger | Stefan Rechenberger and Frank Saueressig | A functional renormalization group equation for foliated spacetimes | 44 pages, 3 figures | null | 10.1007/JHEP03(2013)010 | MZ-TH/12-56 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive an exact functional renormalization group equation for the
projectable version of Ho\v{r}ava-Lifshitz gravity. The flow equation encodes
the gravitational degrees of freedom in terms of the lapse function, shift
vector and spatial metric and is manifestly invariant under background
foliation-preserving diffeomorphisms. Its relation to similar flow equations
for gravity in the metric formalism is discussed in detail, and we argue that
the space of action functionals, invariant under the full diffeomorphism group,
forms a subspace of the latter invariant under renormalization group
transformations. As a first application we study the RG flow of the Newton
constant and the cosmological constant in the ADM formalism. In particular we
show that the non-Gaussian fixed point found in the metric formulation is
qualitatively unaffected by the change of variables and persists also for
Lorentzian signature metrics.
| [
{
"created": "Thu, 20 Dec 2012 16:07:57 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Rechenberger",
"Stefan",
""
],
[
"Saueressig",
"Frank",
""
]
] | We derive an exact functional renormalization group equation for the projectable version of Ho\v{r}ava-Lifshitz gravity. The flow equation encodes the gravitational degrees of freedom in terms of the lapse function, shift vector and spatial metric and is manifestly invariant under background foliation-preserving diffeomorphisms. Its relation to similar flow equations for gravity in the metric formalism is discussed in detail, and we argue that the space of action functionals, invariant under the full diffeomorphism group, forms a subspace of the latter invariant under renormalization group transformations. As a first application we study the RG flow of the Newton constant and the cosmological constant in the ADM formalism. In particular we show that the non-Gaussian fixed point found in the metric formulation is qualitatively unaffected by the change of variables and persists also for Lorentzian signature metrics. |
hep-th/0412071 | Ashok Das | Ashok Das and J. Frenkel | Propagators with the Mandelstam-Leibbrandt Prescription in the
Light-Cone Gauge | RevTex, 5 pages, comments added, version to be published in Physical
Review D | Phys.Rev.D71:087701,2005 | 10.1103/PhysRevD.71.087701 | null | hep-th | null | We show that the Feynman propagator in the light-cone gauge with the
Mandelstam-Leibbrandt prescription has a logarithmic growth for large
$\tilde{n}\cdot x$ which is related to the presence of a residual gauge
invariance. Furthermore, we show that the retarded propagator for the
$\tilde{n}\cdot A$ component of the gauge field develops a coordinate dependent
mass which is inversely proportional to the magnitude of the transverse
coordinate. We argue that this unphysical behavior may be eliminated by fixing
the residual gauge degrees of freedom.
| [
{
"created": "Tue, 7 Dec 2004 16:13:20 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2005 15:34:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | We show that the Feynman propagator in the light-cone gauge with the Mandelstam-Leibbrandt prescription has a logarithmic growth for large $\tilde{n}\cdot x$ which is related to the presence of a residual gauge invariance. Furthermore, we show that the retarded propagator for the $\tilde{n}\cdot A$ component of the gauge field develops a coordinate dependent mass which is inversely proportional to the magnitude of the transverse coordinate. We argue that this unphysical behavior may be eliminated by fixing the residual gauge degrees of freedom. |
1805.01470 | Bikash Padhi | Matteo Baggioli, Bikash Padhi, Philip W. Phillips, and Chandan Setty | Conjecture on the Butterfly Velocity across a Quantum Phase Transition | v1: 24 pages, 9 figures; v2: minor additions in main text and
references; v3: minor changes in presentation (jhep version) | JHEP07(2018)049 | 10.1007/JHEP07(2018)049 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an anisotropic holographic bottom-up model displaying a quantum
phase transition (QPT) between a topologically trivial insulator and a
non-trivial Weyl semimetal phase. We analyze the properties of quantum chaos in
the quantum critical region. We do not find any universal property of the
Butterfly velocity across the QPT. In particular it turns out to be either
maximized or minimized at the quantum critical point depending on the direction
of propagation. We observe that instead of the butterfly velocity, it is the
dimensionless information screening length that is always maximized at a
quantum critical point. We argue that the null-energy condition (NEC) is the
underlying reason for the upper bound, which now is just a simple combination
of the number of spatial dimensions and the anisotropic scaling parameter.
| [
{
"created": "Thu, 3 May 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2018 17:58:00 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jul 2018 18:48:08 GMT",
"version": "v3"
}
] | 2018-07-11 | [
[
"Baggioli",
"Matteo",
""
],
[
"Padhi",
"Bikash",
""
],
[
"Phillips",
"Philip W.",
""
],
[
"Setty",
"Chandan",
""
]
] | We study an anisotropic holographic bottom-up model displaying a quantum phase transition (QPT) between a topologically trivial insulator and a non-trivial Weyl semimetal phase. We analyze the properties of quantum chaos in the quantum critical region. We do not find any universal property of the Butterfly velocity across the QPT. In particular it turns out to be either maximized or minimized at the quantum critical point depending on the direction of propagation. We observe that instead of the butterfly velocity, it is the dimensionless information screening length that is always maximized at a quantum critical point. We argue that the null-energy condition (NEC) is the underlying reason for the upper bound, which now is just a simple combination of the number of spatial dimensions and the anisotropic scaling parameter. |
hep-th/0507239 | Oriol Pujolas | Oriol Pujolas and Misao Sasaki | Vacuum destabilization from Kaluza-Klein modes in an inflating brane | 15 pages, 2 eps figures. Notation improved, references added | JCAP 0509:002,2005 | 10.1088/1475-7516/2005/09/002 | YITP-05-39 | hep-th | null | We discuss the effects from the Kaluza-Klein modes in the brane world
scenario when an interaction between bulk and brane fields is included. We
focus on the bulk inflaton model, where a bulk field $\Psi$ drives inflation in
an almost $AdS_5$ bulk bounded by an inflating brane. We couple $\Psi$ to a
brane scalar field $\phi$ representing matter on the brane. The bulk field
$\Psi$ is assumed to have a light mode, whose mass depends on the expectation
value of $\phi$. To estimate the effects from the KK modes, we compute the
1-loop effective potential $V_\eff(\phi)$. With no tuning of the parameters of
the model, the vacuum becomes (meta)stable -- $V_\eff(\phi)$ develops a true
vacuum at a nonzero $\phi$. In the true vacuum, the light mode of $\Psi$
becomes heavy, degenerates with the KK modes and decays. We comment on some
implications for the bulk inflaton model. Also, we clarify some aspects of the
renormalization procedure in the thin wall approximation, and show that the
fluctuations in the bulk and on the brane are closely related.
| [
{
"created": "Mon, 25 Jul 2005 11:50:09 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2005 08:24:12 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Pujolas",
"Oriol",
""
],
[
"Sasaki",
"Misao",
""
]
] | We discuss the effects from the Kaluza-Klein modes in the brane world scenario when an interaction between bulk and brane fields is included. We focus on the bulk inflaton model, where a bulk field $\Psi$ drives inflation in an almost $AdS_5$ bulk bounded by an inflating brane. We couple $\Psi$ to a brane scalar field $\phi$ representing matter on the brane. The bulk field $\Psi$ is assumed to have a light mode, whose mass depends on the expectation value of $\phi$. To estimate the effects from the KK modes, we compute the 1-loop effective potential $V_\eff(\phi)$. With no tuning of the parameters of the model, the vacuum becomes (meta)stable -- $V_\eff(\phi)$ develops a true vacuum at a nonzero $\phi$. In the true vacuum, the light mode of $\Psi$ becomes heavy, degenerates with the KK modes and decays. We comment on some implications for the bulk inflaton model. Also, we clarify some aspects of the renormalization procedure in the thin wall approximation, and show that the fluctuations in the bulk and on the brane are closely related. |
1211.2434 | M. P. Garcia del Moral | M.P. Garcia del Moral, J.M. Pena and A. Restuccia | T-duality Invariance of the Supermembrane | 8pages, Latex. Proceeding of the XXI International Workshop on
Geometry and Physics held at U.Burgos, Spain | Int. J. Geom. Meth. Mod. Phys. 10 (2013) 1360010 | 10.1142/S0219887813600104 | FPAUO-12/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the supermembrane theory compactified on a torus is invariant
under T-duality. There are two different topological sectors of the
compactified supermembrane (M2) classified according to a vanishing or
nonvanishing second cohomology class. We find the explicit T-duality
transformation that acts locally on the supermembrane theory and we show that
it is an exact symmetry of the theory. We give a global interpretation of the
T-duality in terms of bundles. It has a natural description in terms of the
cohomology of the base manifold and the homology of the target torus. We show
that in the limit when the torus degenerate into a circle and the M2 mass
operator restricts to the string-like configurations, the usual closed string
T-duality transformation between the type IIA and type IIB mass operators is
recovered. Moreover if we just restrict M2 mass operator to string-like
configurations but we perform a generalized T-duality we find the SL(2,Z)
non-perturbative multiplet of IIA.
| [
{
"created": "Sun, 11 Nov 2012 16:48:53 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"del Moral",
"M. P. Garcia",
""
],
[
"Pena",
"J. M.",
""
],
[
"Restuccia",
"A.",
""
]
] | We show that the supermembrane theory compactified on a torus is invariant under T-duality. There are two different topological sectors of the compactified supermembrane (M2) classified according to a vanishing or nonvanishing second cohomology class. We find the explicit T-duality transformation that acts locally on the supermembrane theory and we show that it is an exact symmetry of the theory. We give a global interpretation of the T-duality in terms of bundles. It has a natural description in terms of the cohomology of the base manifold and the homology of the target torus. We show that in the limit when the torus degenerate into a circle and the M2 mass operator restricts to the string-like configurations, the usual closed string T-duality transformation between the type IIA and type IIB mass operators is recovered. Moreover if we just restrict M2 mass operator to string-like configurations but we perform a generalized T-duality we find the SL(2,Z) non-perturbative multiplet of IIA. |
1501.06072 | Ibrahima Bah | Ibrahima Bah | AdS5 solutions from M5-branes on Riemann surface and D6-branes sources | 35 pages | null | 10.1007/JHEP09(2015)163 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the gravity duals of four-dimensional N=1 superconformal field
theories obtained by wrapping M5-branes on a punctured Riemann surface. The
internal geometry, normal to the AdS5 factor, generically preserves two U(1)s,
with generators (J+,J-), that are fibered over the Riemann surface. The metric
is governed by a single potential that satisfies a version of the Monge-Ampere
equation. The spectrum of N=1 punctures is given by the set of supersymmetric
sources of the potential that are localized on the Riemann surface and lead to
regular metrics near a puncture. We use this system to study a class of
punctures where the geometry near the sources corresponds to M-theory
description of D6-branes. These carry a natural (p,q) label associated to the
circle dual to the killing vector (p J+ + q J-) which shrinks near the source.
In the generic case the world volume of the D6-branes is AdS5 X S^2 and they
locally preserve N=2 supersymmetry. When p=-q, the shrinking circle is dual to
a flavor U(1). The metric in this case is non-degenerate only when there are
co-dimension one sources, M9-branes, obtained by smearing M5-branes that wrap
the AdS5 factor and the circle dual the superconformal R-symmetry. In the IIA
limit, they can interpreted as D8-branes. The D6-branes are extended along the
AdS5 and on cups that end on the co-dimension one branes. In the special case
when the shrinking circle is dual to the R-symmetry, the D6-branes are extended
along the AdS5 and wrap an auxiliary Riemann surface with an arbitrary genus.
When the Riemann surface is compact with constant curvature, the system is
governed by a Monge-Ampere equation.
| [
{
"created": "Sat, 24 Jan 2015 19:07:43 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Bah",
"Ibrahima",
""
]
] | We describe the gravity duals of four-dimensional N=1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS5 factor, generically preserves two U(1)s, with generators (J+,J-), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampere equation. The spectrum of N=1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p,q) label associated to the circle dual to the killing vector (p J+ + q J-) which shrinks near the source. In the generic case the world volume of the D6-branes is AdS5 X S^2 and they locally preserve N=2 supersymmetry. When p=-q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources, M9-branes, obtained by smearing M5-branes that wrap the AdS5 factor and the circle dual the superconformal R-symmetry. In the IIA limit, they can interpreted as D8-branes. The D6-branes are extended along the AdS5 and on cups that end on the co-dimension one branes. In the special case when the shrinking circle is dual to the R-symmetry, the D6-branes are extended along the AdS5 and wrap an auxiliary Riemann surface with an arbitrary genus. When the Riemann surface is compact with constant curvature, the system is governed by a Monge-Ampere equation. |
hep-th/0702069 | Shiraz Minwalla | Sayantani Bhattacharyya and Shiraz Minwalla | Supersymmetric States in M5/M2 CFTs | 24 pages, harvmac; v2 reference added | JHEP 0712:004,2007 | 10.1088/1126-6708/2007/12/004 | null | hep-th | null | We propose an exact, finite $N$ formula for the partition function over
$1/4^{th}$ BPS states in the conformal field theory on the world volume of $N$
coincident M5 branes and $1/8^{th}$ BPS states in the theory of $N$ coincident
M2 branes. We obtain our partition function by performing the radial
quantization of the Coulomb Branches of these theories, and rederive the same
formula from the quantization of supersymmetric giant and dual giant gravitons
in $AdS_7 \times S^4$ and $AdS_4 \times S^7$. Our partition function is
qualitatively similar to the analogous quantity in ${\cal N}=4$ Yang Mills. It
reduces to the sum over supersymmetric multi gravitons at low energies, but
deviates from this supergravity formula at energies that scale like a positive
power of $N$.
| [
{
"created": "Fri, 9 Feb 2007 12:19:37 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2007 06:58:09 GMT",
"version": "v2"
}
] | 2009-09-29 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Minwalla",
"Shiraz",
""
]
] | We propose an exact, finite $N$ formula for the partition function over $1/4^{th}$ BPS states in the conformal field theory on the world volume of $N$ coincident M5 branes and $1/8^{th}$ BPS states in the theory of $N$ coincident M2 branes. We obtain our partition function by performing the radial quantization of the Coulomb Branches of these theories, and rederive the same formula from the quantization of supersymmetric giant and dual giant gravitons in $AdS_7 \times S^4$ and $AdS_4 \times S^7$. Our partition function is qualitatively similar to the analogous quantity in ${\cal N}=4$ Yang Mills. It reduces to the sum over supersymmetric multi gravitons at low energies, but deviates from this supergravity formula at energies that scale like a positive power of $N$. |
hep-th/9607192 | Giovanni Amelino-Camelia | I.J.R. Aitchison, G. Amelino-Camelia, M. Klein-Kreisler, N.E.
Mavromatos, and D. Mc Neill | Non-trivial Infrared Structure in (2+1)-dimensional Quantum
Electrodynamics | 10 pages (LaTex), 5 figures (Postscript) | Phys.Rev.B56:2836-2842,1997 | 10.1103/PhysRevB.56.2836 | OUTP-96-47P | hep-th cond-mat | null | We show that the gauge-fermion interaction in multiflavour
$(2+1)$-dimensional quantum electrodynamics with a finite infrared cut-off is
responsible for non-fermi liquid behaviour in the infrared, in the sense of
leading to the existence of a non-trivial fixed point at zero momentum, as well
as to a significant slowing down of the running of the coupling at intermediate
scales as compared with previous analyses on the subject. Both these features
constitute deviations from fermi-liquid theory. Our discussion is based on the
leading- $1/N$ resummed solution for the wave-function renormalization of the
Schwinger-Dyson equations . The present work completes and confirms the
expectations of an earlier work by two of the authors (I.J.R.A. and N.E.M.) on
the non-trivial infrared structure of the theory.
| [
{
"created": "Thu, 25 Jul 1996 11:09:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Aitchison",
"I. J. R.",
""
],
[
"Amelino-Camelia",
"G.",
""
],
[
"Klein-Kreisler",
"M.",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Neill",
"D. Mc",
""
]
] | We show that the gauge-fermion interaction in multiflavour $(2+1)$-dimensional quantum electrodynamics with a finite infrared cut-off is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial fixed point at zero momentum, as well as to a significant slowing down of the running of the coupling at intermediate scales as compared with previous analyses on the subject. Both these features constitute deviations from fermi-liquid theory. Our discussion is based on the leading- $1/N$ resummed solution for the wave-function renormalization of the Schwinger-Dyson equations . The present work completes and confirms the expectations of an earlier work by two of the authors (I.J.R.A. and N.E.M.) on the non-trivial infrared structure of the theory. |
hep-th/0410195 | Christian Rupp | F.R. Klinkhamer and C. Rupp | A sphaleron for the non-Abelian anomaly | LaTeX with elsart.cls, 26 pages, v4: published version | Nucl.Phys. B709 (2005) 171-191 | 10.1016/j.nuclphysb.2004.12.027 | KA-TP-08-2004 | hep-th hep-ph | null | A self-consistent Ansatz for a new sphaleron of SU(3) Yang-Mills-Higgs theory
is presented. With a single triplet of Weyl fermions added, there exists, most
likely, one pair of fermion zero modes, which is known to give rise to the
non-Abelian (Bardeen) anomaly as a Berry phase. The corresponding SU(3) gauge
field configuration could take part in the nonperturbative dynamics of Quantum
Chromodynamics.
| [
{
"created": "Tue, 19 Oct 2004 13:26:58 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2004 19:04:04 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Dec 2004 14:07:24 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Feb 2005 13:32:34 GMT",
"version": "v4"
}
] | 2010-04-05 | [
[
"Klinkhamer",
"F. R.",
""
],
[
"Rupp",
"C.",
""
]
] | A self-consistent Ansatz for a new sphaleron of SU(3) Yang-Mills-Higgs theory is presented. With a single triplet of Weyl fermions added, there exists, most likely, one pair of fermion zero modes, which is known to give rise to the non-Abelian (Bardeen) anomaly as a Berry phase. The corresponding SU(3) gauge field configuration could take part in the nonperturbative dynamics of Quantum Chromodynamics. |
1602.05752 | Roberto Emparan | Roberto Emparan, Keisuke Izumi, Raimon Luna, Ryotaku Suzuki, Kentaro
Tanabe | Hydro-elastic Complementarity in Black Branes at large D | 26 pages. v2: 33 pages. Appendix added with a systematic derivation
of the effective equations. v3: 34 pages. Expanded introduction | JHEP 06 (2016) 117 | 10.1007/JHEP06(2016)117 | KEK-TH-1885, OCU-PHYS-438, AP-GR-130 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the effective theory for the non-linear dynamics of black
branes---both neutral and charged, in asymptotically flat or Anti-deSitter
spacetimes---to leading order in the inverse-dimensional expansion. We find
that black branes evolve as viscous fluids, but when they settle down they are
more naturally viewed as solutions of an elastic soap-bubble theory. The two
views are complementary: the same variable is regarded in one case as the
energy density of the fluid, in the other as the deformation of the elastic
membrane. The large-D theory captures finite-wavelength phenomena beyond the
conventional reach of hydrodynamics. For asymptotically flat charged black
branes (either Reissner-Nordstrom or p-brane-charged black branes) it yields
the non-linear evolution of the Gregory-Laflamme instability at large D and its
endpoint at stable non-uniform black branes. For Reissner-Nordstrom AdS black
branes we find that sound perturbations do not propagate (have purely imaginary
frequency) when their wavelength is below a certain charge-dependent value. We
also study the polarization of black branes induced by an external electric
field.
| [
{
"created": "Thu, 18 Feb 2016 10:55:46 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2016 10:21:46 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jun 2016 11:26:47 GMT",
"version": "v3"
}
] | 2022-03-07 | [
[
"Emparan",
"Roberto",
""
],
[
"Izumi",
"Keisuke",
""
],
[
"Luna",
"Raimon",
""
],
[
"Suzuki",
"Ryotaku",
""
],
[
"Tanabe",
"Kentaro",
""
]
] | We obtain the effective theory for the non-linear dynamics of black branes---both neutral and charged, in asymptotically flat or Anti-deSitter spacetimes---to leading order in the inverse-dimensional expansion. We find that black branes evolve as viscous fluids, but when they settle down they are more naturally viewed as solutions of an elastic soap-bubble theory. The two views are complementary: the same variable is regarded in one case as the energy density of the fluid, in the other as the deformation of the elastic membrane. The large-D theory captures finite-wavelength phenomena beyond the conventional reach of hydrodynamics. For asymptotically flat charged black branes (either Reissner-Nordstrom or p-brane-charged black branes) it yields the non-linear evolution of the Gregory-Laflamme instability at large D and its endpoint at stable non-uniform black branes. For Reissner-Nordstrom AdS black branes we find that sound perturbations do not propagate (have purely imaginary frequency) when their wavelength is below a certain charge-dependent value. We also study the polarization of black branes induced by an external electric field. |
1207.7078 | Han-Chih Chang | Han-Chih Chang and Andreas Karch | Novel Solutions of Finite-Density D3/D5 Probe Brane System and Their
Implications for Stability | 11 pages, 1 figures | null | 10.1007/JHEP10(2012)069 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we present a novel set of solutions of the probe brane system
consisting of Nf-D5 probe branes embedded in the near-horizon geometry
generated by Nc-D3 branes, with the D5 worldvolume U(1) gauge fields turned on.
Our system is holographically dual to a supersymmetric defect field theory at
finite density in non-trivial vacua. We find that a large class of vacua turns
out to satisfy a no-force condition, even with supersymmetry explicitly broken
by the finite density; our solutions include configuration in which charge
separates from the horizon and is instead carried by probe branes outside the
horizon. The free energy is lowered in this process. Whether this corresponds
to a genuine instability of the finite-density probe brane system remains to be
seen.
| [
{
"created": "Mon, 30 Jul 2012 20:00:06 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Chang",
"Han-Chih",
""
],
[
"Karch",
"Andreas",
""
]
] | In this article we present a novel set of solutions of the probe brane system consisting of Nf-D5 probe branes embedded in the near-horizon geometry generated by Nc-D3 branes, with the D5 worldvolume U(1) gauge fields turned on. Our system is holographically dual to a supersymmetric defect field theory at finite density in non-trivial vacua. We find that a large class of vacua turns out to satisfy a no-force condition, even with supersymmetry explicitly broken by the finite density; our solutions include configuration in which charge separates from the horizon and is instead carried by probe branes outside the horizon. The free energy is lowered in this process. Whether this corresponds to a genuine instability of the finite-density probe brane system remains to be seen. |
hep-th/9607002 | Noriaki Kitazawa | Noriaki Kitazawa (Tokyo Metropolitan University) | An analysis on a supersymmetric chiral gauge theory with no flat
direction | 20 pages, uses revtex.sty | Nucl.Phys. B479 (1996) 336-352 | 10.1016/0550-3213(96)00437-3 | TMUP-HEL-9608 | hep-th hep-ph | null | The low energy effective theory of the N=1 supersymmetric SU(5) gauge theory
with chiral superfields in the 5* and 10 representations is constructed.
Instead of postulating the confinement of SU(5) (confining picture), only the
confinement of its subgroup SU(4) is postulated (Higgs picture), and the
effective fields are SU(4)-singlet but SU(5)-variant. The classical scalar
potential which ensures unique supersymmetric vacuum at the classical level is
incorporated into the Kaehler potential of the effective fields. We show that
supersymmetry and all other global symmetry are spontaneously broken. The
scales of these symmetry breaking and the particle spectrum including
Nambu-Goldstone particles are explicitly calculated, and no large scale
hierarchy is found.
| [
{
"created": "Mon, 1 Jul 1996 11:53:31 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kitazawa",
"Noriaki",
"",
"Tokyo Metropolitan University"
]
] | The low energy effective theory of the N=1 supersymmetric SU(5) gauge theory with chiral superfields in the 5* and 10 representations is constructed. Instead of postulating the confinement of SU(5) (confining picture), only the confinement of its subgroup SU(4) is postulated (Higgs picture), and the effective fields are SU(4)-singlet but SU(5)-variant. The classical scalar potential which ensures unique supersymmetric vacuum at the classical level is incorporated into the Kaehler potential of the effective fields. We show that supersymmetry and all other global symmetry are spontaneously broken. The scales of these symmetry breaking and the particle spectrum including Nambu-Goldstone particles are explicitly calculated, and no large scale hierarchy is found. |
2101.09017 | Ahmadullah Zahed | Rajesh Gopakumar, Aninda Sinha, Ahmadullah Zahed | Crossing Symmetric Dispersion Relations for Mellin Amplitudes | V2: version to appear in Physical Review Letters | Phys. Rev. Lett. 126, 211602 (2021) | 10.1103/PhysRevLett.126.211602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider manifestly crossing symmetric dispersion relations for Mellin
amplitudes of scalar four point correlators in conformal field theories (CFTs).
This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in
Mellin space on a firm foundation, thereby fixing the contact term ambiguities
in the crossing symmetric blocks. Our new approach employs certain "locality"
constraints replacing the requirement of crossing symmetry in the usual
fixed-$t$ dispersion relation. Using these constraints we show that the sum
rules based on the two channel dispersion relations and the present dispersion
relations are identical. Our framework allows us to connect with the
conceptually rich picture of the Polyakov blocks being Witten diagrams in
anti-de Sitter (AdS) space. We also give two sided bounds for Wilson
coefficients for effective field theories in AdS space.
| [
{
"created": "Fri, 22 Jan 2021 09:31:18 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2021 09:09:21 GMT",
"version": "v2"
}
] | 2021-05-31 | [
[
"Gopakumar",
"Rajesh",
""
],
[
"Sinha",
"Aninda",
""
],
[
"Zahed",
"Ahmadullah",
""
]
] | We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in Mellin space on a firm foundation, thereby fixing the contact term ambiguities in the crossing symmetric blocks. Our new approach employs certain "locality" constraints replacing the requirement of crossing symmetry in the usual fixed-$t$ dispersion relation. Using these constraints we show that the sum rules based on the two channel dispersion relations and the present dispersion relations are identical. Our framework allows us to connect with the conceptually rich picture of the Polyakov blocks being Witten diagrams in anti-de Sitter (AdS) space. We also give two sided bounds for Wilson coefficients for effective field theories in AdS space. |
1910.02362 | Andr\'e Cavalcante Santos Andr\'e C. Santos | Rodolfo Casana, Andr\'e C. Santos, Claudio F. Farias and Alexsandro L.
Mota | Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model | 14 pages Latex 2e, 15 eps figures | Phys. Rev. D 101, 045018 (2020) | 10.1103/PhysRevD.101.045018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the existence de self-dual solitons in a gauged version of
the baby Skyrme model in which the gauge field dynamics is governed by the
Maxwell-Chern-Simons action. For such a purpose, we have developed a detailed
implementation of the Bogomol'nyi-Prasad-Sommerfield formalism providing the
self-dual equations whose solutions saturate the energy lower bound. Such a
bound related to the topological charge of the Skyrme field becomes quantized
whereas both the total magnetic flux and the total electrical charge are not.
We have found two types of self-dual Skyrme field profiles: the first is
described by a solution which decays following an exponential-law ($e^{-\alpha
r^2}$, $\alpha>0$); the second is portrayed by a solution having a power-law
decay ($r^{-\beta}$, $\beta>0$). On other hand, in both cases the asymptotic
behavior of the gauge field is similar to the one presented in the context of
the Abelian Higgs models describing Abrikosov-Nielsen-Olesen charged vortices.
Other interesting feature we highlight is the localized magnetic flux
inversion, a property does not observed in others gauged baby Skyrme models
already studied in literature. Numerical results are presented for rotationally
symmetrical field configurations by remarking some of its essential features.
| [
{
"created": "Sun, 6 Oct 2019 03:56:25 GMT",
"version": "v1"
}
] | 2020-03-04 | [
[
"Casana",
"Rodolfo",
""
],
[
"Santos",
"André C.",
""
],
[
"Farias",
"Claudio F.",
""
],
[
"Mota",
"Alexsandro L.",
""
]
] | We have studied the existence de self-dual solitons in a gauged version of the baby Skyrme model in which the gauge field dynamics is governed by the Maxwell-Chern-Simons action. For such a purpose, we have developed a detailed implementation of the Bogomol'nyi-Prasad-Sommerfield formalism providing the self-dual equations whose solutions saturate the energy lower bound. Such a bound related to the topological charge of the Skyrme field becomes quantized whereas both the total magnetic flux and the total electrical charge are not. We have found two types of self-dual Skyrme field profiles: the first is described by a solution which decays following an exponential-law ($e^{-\alpha r^2}$, $\alpha>0$); the second is portrayed by a solution having a power-law decay ($r^{-\beta}$, $\beta>0$). On other hand, in both cases the asymptotic behavior of the gauge field is similar to the one presented in the context of the Abelian Higgs models describing Abrikosov-Nielsen-Olesen charged vortices. Other interesting feature we highlight is the localized magnetic flux inversion, a property does not observed in others gauged baby Skyrme models already studied in literature. Numerical results are presented for rotationally symmetrical field configurations by remarking some of its essential features. |
2001.10562 | Wei Gu | Wei Gu | Correlation functions in massive Landau-Ginzburg orbifolds and tests of
dualities | 32 pages | null | 10.1007/JHEP12(2020)180 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss correlation function computations in massive
topological Landau-Ginzburg orbifolds, extending old results of Vafa. We then
apply these computations to provide further tests of the nonabelian mirrors
proposal and two-dimensional Hori-Seiberg dualities with $(S)O_{\pm}$ gauge
groups and their mirrors.
| [
{
"created": "Tue, 28 Jan 2020 19:14:10 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Gu",
"Wei",
""
]
] | In this paper we discuss correlation function computations in massive topological Landau-Ginzburg orbifolds, extending old results of Vafa. We then apply these computations to provide further tests of the nonabelian mirrors proposal and two-dimensional Hori-Seiberg dualities with $(S)O_{\pm}$ gauge groups and their mirrors. |
2210.00013 | Pedro Jorge Mart\'inez | Valentin Benedetti, Horacio Casini, Pedro J. Martinez | Mutual Information of Generalized Free Fields | 28 pages, 8 figures | null | 10.1103/PhysRevD.107.046003 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study generalized free fields (GFF) from the point of view of information
measures. We first review conformal GFF, their holographic representation, and
the ambiguities in the assignation of algebras to regions that arise in these
theories. Then we study the mutual information (MI) in several geometric
configurations. The MI displays unusual features at the short distance limit: a
leading volume term rather than an area term, and a logarithmic term in any
dimensions rather than only for even dimensions as in ordinary CFT's. We find
the dependence of some subleading terms on the conformal dimension $\Delta$ of
the GFF. We study the long distance limit of the MI for regions with boundary
in the null cone. The pinching limit of these surfaces show the GFF behaves as
an interacting model from the MI point of view. The pinching exponents depend
on the choice of algebra. The entanglement wedge algebra choice allows these
models to ``fake'' causality, giving results consistent with its role in the
description of large $N$ models.
| [
{
"created": "Fri, 30 Sep 2022 18:00:01 GMT",
"version": "v1"
}
] | 2023-02-22 | [
[
"Benedetti",
"Valentin",
""
],
[
"Casini",
"Horacio",
""
],
[
"Martinez",
"Pedro J.",
""
]
] | We study generalized free fields (GFF) from the point of view of information measures. We first review conformal GFF, their holographic representation, and the ambiguities in the assignation of algebras to regions that arise in these theories. Then we study the mutual information (MI) in several geometric configurations. The MI displays unusual features at the short distance limit: a leading volume term rather than an area term, and a logarithmic term in any dimensions rather than only for even dimensions as in ordinary CFT's. We find the dependence of some subleading terms on the conformal dimension $\Delta$ of the GFF. We study the long distance limit of the MI for regions with boundary in the null cone. The pinching limit of these surfaces show the GFF behaves as an interacting model from the MI point of view. The pinching exponents depend on the choice of algebra. The entanglement wedge algebra choice allows these models to ``fake'' causality, giving results consistent with its role in the description of large $N$ models. |
2210.01236 | Marcelo Granzotto Campos | M. G. Campos, L. P. R. Ospedal, J. A. Helay\"el-Neto | Investigations on Effective Electromagnetic and Gravitational Scenarios | null | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | The work aims effective and low-dimensional systems. Some different contexts
involving gravitational and electromagnetic interactions are investigated. The
electromagnetic one approaches bosonic and fermionic Effective Quantum Field
Theories non-minimally coupled in three spacetime dimensions submitted to the
expansion of Foldy-Wouthuysen Transformation, what generates (non-)relativistic
corrections. A study of the effects of an external electromagnetic field
derived from the Maxwell-Chern-Simons Electrodynamics on the obtained
interactions are executed, as well as the impact produced by the dimensional
reduction on expanded higher dimensional fermionic system in comparison to the
low-dimensional one. In the scenario of gravitational effective model, scalar
and fermionic particle scatterings reveal inter-particles interactions beyond
monopole-monopole, leading to velocity and spin contributions, and the results
are compared to a modified Electrodynamics effective model. A non-perturbative
model resourcing to Casual Dynamics Triangulation data is adopted to serve as
consistency check of the potentials resultants. Low-dimensional Maxwell-Higgs
effective models with modified kinetic terms are studied, submitting them to a
Bogomol'nyi prescription-type for calculation of inferior (non-trivial) bound
energy and the self-dual equations. Vortex solutions for gauge field
non-specified by an ansatz are achieved and their topological feature detailed.
| [
{
"created": "Mon, 3 Oct 2022 21:29:04 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2022 21:25:10 GMT",
"version": "v2"
}
] | 2022-10-10 | [
[
"Campos",
"M. G.",
""
],
[
"Ospedal",
"L. P. R.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | The work aims effective and low-dimensional systems. Some different contexts involving gravitational and electromagnetic interactions are investigated. The electromagnetic one approaches bosonic and fermionic Effective Quantum Field Theories non-minimally coupled in three spacetime dimensions submitted to the expansion of Foldy-Wouthuysen Transformation, what generates (non-)relativistic corrections. A study of the effects of an external electromagnetic field derived from the Maxwell-Chern-Simons Electrodynamics on the obtained interactions are executed, as well as the impact produced by the dimensional reduction on expanded higher dimensional fermionic system in comparison to the low-dimensional one. In the scenario of gravitational effective model, scalar and fermionic particle scatterings reveal inter-particles interactions beyond monopole-monopole, leading to velocity and spin contributions, and the results are compared to a modified Electrodynamics effective model. A non-perturbative model resourcing to Casual Dynamics Triangulation data is adopted to serve as consistency check of the potentials resultants. Low-dimensional Maxwell-Higgs effective models with modified kinetic terms are studied, submitting them to a Bogomol'nyi prescription-type for calculation of inferior (non-trivial) bound energy and the self-dual equations. Vortex solutions for gauge field non-specified by an ansatz are achieved and their topological feature detailed. |
2308.02125 | Sebastian Mizera | Simon Caron-Huot, Mathieu Giroux, Holmfridur S. Hannesdottir,
Sebastian Mizera | What can be measured asymptotically? | 67 pages, typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider asymptotic observables in quantum field theories in which the
S-matrix makes sense. We argue that in addition to scattering amplitudes, a
whole compendium of inclusive observables exists where the time-ordering is
relaxed. These include expectation values of electromagnetic or gravitational
radiation fields as well as out-of-time-order amplitudes. We explain how to
calculate them in two ways: by relating them to amplitudes and products of
amplitudes, and by using a generalization of the LSZ reduction formula. As an
application, we discuss one-loop master integrals contributing to gravitational
radiation in the post-Minkowski expansion, emphasizing the role of classical
cut contributions and highlighting the different infrared physics of in-in
observables.
| [
{
"created": "Fri, 4 Aug 2023 03:57:33 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2023 17:30:45 GMT",
"version": "v2"
}
] | 2023-12-15 | [
[
"Caron-Huot",
"Simon",
""
],
[
"Giroux",
"Mathieu",
""
],
[
"Hannesdottir",
"Holmfridur S.",
""
],
[
"Mizera",
"Sebastian",
""
]
] | We consider asymptotic observables in quantum field theories in which the S-matrix makes sense. We argue that in addition to scattering amplitudes, a whole compendium of inclusive observables exists where the time-ordering is relaxed. These include expectation values of electromagnetic or gravitational radiation fields as well as out-of-time-order amplitudes. We explain how to calculate them in two ways: by relating them to amplitudes and products of amplitudes, and by using a generalization of the LSZ reduction formula. As an application, we discuss one-loop master integrals contributing to gravitational radiation in the post-Minkowski expansion, emphasizing the role of classical cut contributions and highlighting the different infrared physics of in-in observables. |
hep-th/0602125 | Roberto Iengo | Roberto Iengo | Massless radiation from Strings: quantum spectrum average statistics and
cusp-kink configurations | 13 pages, 4 figures, improved explanations, an appendix added on
rotating folded string | JHEP0605:054,2006 | 10.1088/1126-6708/2006/05/054 | null | hep-th | null | We derive general formulae for computing the average spectrum for Bosonic or
Fermionic massless emission from generic or particular sets of closed
superstring quantum states, among the many occurring at a given large value of
the number operator. In particular we look for states that can produce a
Bosonic spectrum resembling the classical spectrum expected for peculiar
cusp-like or kink-like classical configurations, and we perform a statistical
counting of their average number. The results can be relevant in the framework
of possible observations of the radiation emitted by cosmic strings.
| [
{
"created": "Mon, 13 Feb 2006 10:44:19 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2006 15:29:56 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Iengo",
"Roberto",
""
]
] | We derive general formulae for computing the average spectrum for Bosonic or Fermionic massless emission from generic or particular sets of closed superstring quantum states, among the many occurring at a given large value of the number operator. In particular we look for states that can produce a Bosonic spectrum resembling the classical spectrum expected for peculiar cusp-like or kink-like classical configurations, and we perform a statistical counting of their average number. The results can be relevant in the framework of possible observations of the radiation emitted by cosmic strings. |
1207.4325 | Nicholas Halmagyi | Nick Halmagyi, Krzysztof Pilch and Nicholas P. Warner | On Supersymmetric Flux Solutions of M-theory | 17 pages, 9 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the geometric structures of supersymmetric holographic RG-flows,
we scan for N=2 AdS_4 solutions in M-theory. One particularly well understood
holographic RG flow in M-theory is dual to a mass deformation of the N=8
Chern-Simons theory. We utilize an Ansatz which is a natural generalization of
this background in our scan. We find a single new solution with non-trivial
internal flux and the topology of S^7. Interestingly, despite our Ansatz being
quite general, within our system we rule out solutions with internal flux on
more general Sasaki-Einstein seven manifolds.
| [
{
"created": "Wed, 18 Jul 2012 10:08:19 GMT",
"version": "v1"
}
] | 2012-07-19 | [
[
"Halmagyi",
"Nick",
""
],
[
"Pilch",
"Krzysztof",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | Motivated by the geometric structures of supersymmetric holographic RG-flows, we scan for N=2 AdS_4 solutions in M-theory. One particularly well understood holographic RG flow in M-theory is dual to a mass deformation of the N=8 Chern-Simons theory. We utilize an Ansatz which is a natural generalization of this background in our scan. We find a single new solution with non-trivial internal flux and the topology of S^7. Interestingly, despite our Ansatz being quite general, within our system we rule out solutions with internal flux on more general Sasaki-Einstein seven manifolds. |
1408.5002 | Gianmassimo Tasinato | C.P. Burgess, R. Holman, G. Tasinato and M. Williams | EFT Beyond the Horizon: Stochastic Inflation and How Primordial Quantum
Fluctuations Go Classical | 25 pages. V2 extended discussion on the noise contribution to the
Fokker-Planck equation, also for the case of massive fields; minor changes
and references added. 28 pages | JHEP 1503 (2015) 090 | null | CERN-PH-TH-2014-142 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify the effective theory describing inflationary super-Hubble scales
and show it to be a special case of effective field theories appropriate to
open systems. Open systems allow information to be exchanged between the
degrees of freedom of interest and those that are integrated out, such as for
particles moving through a fluid. Strictly speaking they cannot in general be
described by an effective lagrangian; rather the appropriate `low-energy' limit
is instead a Lindblad equation describing the evolution of the density matrix
of the slow degrees of freedom. We derive the equation relevant to super-Hubble
modes of quantum fields in near-de Sitter spacetimes and derive two
implications. We show the evolution of the diagonal density-matrix elements
quickly approaches the Fokker-Planck equation of Starobinsky's stochastic
inflationary picture. This provides an alternative first-principles derivation
of this picture's stochastic noise and drift, as well as its leading
corrections. (An application computes the noise for systems with a sub-luminal
sound speed.) We argue that the presence of interactions drives the
off-diagonal density-matrix elements to zero in the field basis. This shows why
the field basis is the `pointer basis' for the decoherence of primordial
quantum fluctuations while they are outside the horizon, thus allowing them to
re-enter as classical fluctuations, as assumed when analyzing CMB data. The
decoherence process is efficient, occurring after several Hubble times even for
interactions as weak as gravitational-strength. Crucially, the details of the
interactions largely control only the decoherence time and not the nature of
the final late-time stochastic state, much as interactions can control the
equilibration time for thermal systems but are largely irrelevant to the
properties of the resulting equilibrium state.
| [
{
"created": "Thu, 21 Aug 2014 13:34:35 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2014 16:49:39 GMT",
"version": "v2"
}
] | 2015-09-01 | [
[
"Burgess",
"C. P.",
""
],
[
"Holman",
"R.",
""
],
[
"Tasinato",
"G.",
""
],
[
"Williams",
"M.",
""
]
] | We identify the effective theory describing inflationary super-Hubble scales and show it to be a special case of effective field theories appropriate to open systems. Open systems allow information to be exchanged between the degrees of freedom of interest and those that are integrated out, such as for particles moving through a fluid. Strictly speaking they cannot in general be described by an effective lagrangian; rather the appropriate `low-energy' limit is instead a Lindblad equation describing the evolution of the density matrix of the slow degrees of freedom. We derive the equation relevant to super-Hubble modes of quantum fields in near-de Sitter spacetimes and derive two implications. We show the evolution of the diagonal density-matrix elements quickly approaches the Fokker-Planck equation of Starobinsky's stochastic inflationary picture. This provides an alternative first-principles derivation of this picture's stochastic noise and drift, as well as its leading corrections. (An application computes the noise for systems with a sub-luminal sound speed.) We argue that the presence of interactions drives the off-diagonal density-matrix elements to zero in the field basis. This shows why the field basis is the `pointer basis' for the decoherence of primordial quantum fluctuations while they are outside the horizon, thus allowing them to re-enter as classical fluctuations, as assumed when analyzing CMB data. The decoherence process is efficient, occurring after several Hubble times even for interactions as weak as gravitational-strength. Crucially, the details of the interactions largely control only the decoherence time and not the nature of the final late-time stochastic state, much as interactions can control the equilibration time for thermal systems but are largely irrelevant to the properties of the resulting equilibrium state. |
0901.0815 | Marcel van Kessel | E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, M.T.M. van Kessel | Path Integrals in Polar Field Variables in QFT | null | Eur.Phys.J.C61:495-518,2009 | 10.1140/epjc/s10052-009-0998-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to transform a $d$-dimensional Euclidean path integral in terms
of two (Cartesian) fields to a path integral in terms of polar field variables.
First we present a conjecture that states how this transformation should be
done. Then we show that this conjecture is correct in the case of two toy
models. Finally the conjecture will be proven for a general QFT model with two
fields.
| [
{
"created": "Wed, 7 Jan 2009 12:34:51 GMT",
"version": "v1"
}
] | 2009-07-22 | [
[
"Argyres",
"E. N.",
""
],
[
"Papadopoulos",
"C. G.",
""
],
[
"Kleiss",
"R. H. P.",
""
],
[
"van Kessel",
"M. T. M.",
""
]
] | We show how to transform a $d$-dimensional Euclidean path integral in terms of two (Cartesian) fields to a path integral in terms of polar field variables. First we present a conjecture that states how this transformation should be done. Then we show that this conjecture is correct in the case of two toy models. Finally the conjecture will be proven for a general QFT model with two fields. |
0910.4174 | Ignat Fialkovsky Dr | I. V. Fialkovsky, V. N. Markov, Yu. M. Pis'mak | Casimir energy of finite width mirrors: renormalization,
self-interaction limit and Lifshitz formula | 5 pages, based on the presentation on the Ninth Conference on Quantum
Field Theory under the influence of External Conditions, Oklahoma, 2009 | null | 10.1142/9789814289931_0030 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the field theoretical model of a scalar field in presence of spacial
inhomogeneities in form of one and two finite width mirrors (material slabs).
The interaction of the scalar field with the defect is described with
position-dependent mass term. Within this model we derive the interaction of
two finite width mirrors, establish the correspondence of the model to the
Lifshitz formula and construct limiting procedure to obtain finite self-energy
of a single mirror without any normalization condition.
| [
{
"created": "Wed, 21 Oct 2009 20:49:53 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Fialkovsky",
"I. V.",
""
],
[
"Markov",
"V. N.",
""
],
[
"Pis'mak",
"Yu. M.",
""
]
] | We study the field theoretical model of a scalar field in presence of spacial inhomogeneities in form of one and two finite width mirrors (material slabs). The interaction of the scalar field with the defect is described with position-dependent mass term. Within this model we derive the interaction of two finite width mirrors, establish the correspondence of the model to the Lifshitz formula and construct limiting procedure to obtain finite self-energy of a single mirror without any normalization condition. |
1412.8597 | Paul Jennings | Paul Jennings | Cabling in the Skyrme-Faddeev model | 16 pages, 6 figures | J. Phys. A: Math. Theor. 48 (2015) 315401 | 10.1088/1751-8113/48/31/315401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Skyrme-Faddeev model is a three-dimensional non-linear field theory that
has topological soliton solutions, called hopfions, which are novel string-like
solutions taking the form of knots and links. Solutions found thus far take the
form of torus knots and links of these, however torus knots form only a small
family of known knots. It is an open question whether any non-torus knot
hopfions exist. In this paper we present a construction of knotted fields with
the form of cable knots to which an energy minimisation scheme can be applied.
We find the first known hopfions which do not have the form of torus knots, but
instead take the form of cable and hyperbolic knots.
| [
{
"created": "Tue, 30 Dec 2014 10:28:20 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2015 09:34:11 GMT",
"version": "v2"
}
] | 2015-07-22 | [
[
"Jennings",
"Paul",
""
]
] | The Skyrme-Faddeev model is a three-dimensional non-linear field theory that has topological soliton solutions, called hopfions, which are novel string-like solutions taking the form of knots and links. Solutions found thus far take the form of torus knots and links of these, however torus knots form only a small family of known knots. It is an open question whether any non-torus knot hopfions exist. In this paper we present a construction of knotted fields with the form of cable knots to which an energy minimisation scheme can be applied. We find the first known hopfions which do not have the form of torus knots, but instead take the form of cable and hyperbolic knots. |
hep-th/0004146 | Kazuo Ghoroku | Kazuo Ghoroku | Nonlinear sigma model and Yang-Mills theory through non-critical string | 22pages, 2 figures (eps files), written by LaTex | null | null | FIT HE 4-01/00 | hep-th | null | We consider two-dimensional nonlinear sigma model from the viewpoint of the
holography, which has been applied to the study of the Yang-Mills theory, based
on the non-critical string theory. We can see the renormalization group flows
for both the nonlinear sigma model and the Yang-Mills theory at the same time,
and the two theories are intimately related through a kind of dual relation of
the coupling constants. We address the running behaviors of these coupling
constants and also the asymptotic freedom of the Yang-Mills theory.
| [
{
"created": "Fri, 21 Apr 2000 08:25:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ghoroku",
"Kazuo",
""
]
] | We consider two-dimensional nonlinear sigma model from the viewpoint of the holography, which has been applied to the study of the Yang-Mills theory, based on the non-critical string theory. We can see the renormalization group flows for both the nonlinear sigma model and the Yang-Mills theory at the same time, and the two theories are intimately related through a kind of dual relation of the coupling constants. We address the running behaviors of these coupling constants and also the asymptotic freedom of the Yang-Mills theory. |
hep-th/0110133 | Ingo Runkel | J. Fuchs, I. Runkel, C. Schweigert | Conformal Correlation Functions, Frobenius Algebras and Triangulations | 17 pages, LaTeX2e; v2: more references and Note added in proof | Nucl.Phys. B624 (2002) 452-468 | 10.1016/S0550-3213(01)00638-1 | PAR-LPTHE-01-45 | hep-th | null | We formulate two-dimensional rational conformal field theory as a natural
generalization of two-dimensional lattice topological field theory. To this end
we lift various structures from complex vector spaces to modular tensor
categories. The central ingredient is a special Frobenius algebra object A in
the modular category that encodes the Moore-Seiberg data of the underlying
chiral CFT. Just like for lattice TFTs, this algebra is itself not an
observable quantity. Rather, Morita equivalent algebras give rise to equivalent
theories. Morita equivalence also allows for a simple understanding of
T-duality.
We present a construction of correlators, based on a triangulation of the
world sheet, that generalizes the one in lattice TFTs. These correlators are
modular invariant and satisfy factorization rules. The construction works for
arbitrary orientable world sheets, in particular for surfaces with boundary.
Boundary conditions correspond to representations of the algebra A. The
partition functions on the torus and on the annulus provide modular invariants
and NIM-reps of the fusion rules, respectively.
| [
{
"created": "Mon, 15 Oct 2001 18:17:09 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2001 16:26:36 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Fuchs",
"J.",
""
],
[
"Runkel",
"I.",
""
],
[
"Schweigert",
"C.",
""
]
] | We formulate two-dimensional rational conformal field theory as a natural generalization of two-dimensional lattice topological field theory. To this end we lift various structures from complex vector spaces to modular tensor categories. The central ingredient is a special Frobenius algebra object A in the modular category that encodes the Moore-Seiberg data of the underlying chiral CFT. Just like for lattice TFTs, this algebra is itself not an observable quantity. Rather, Morita equivalent algebras give rise to equivalent theories. Morita equivalence also allows for a simple understanding of T-duality. We present a construction of correlators, based on a triangulation of the world sheet, that generalizes the one in lattice TFTs. These correlators are modular invariant and satisfy factorization rules. The construction works for arbitrary orientable world sheets, in particular for surfaces with boundary. Boundary conditions correspond to representations of the algebra A. The partition functions on the torus and on the annulus provide modular invariants and NIM-reps of the fusion rules, respectively. |
hep-th/9808131 | Marcos Marino | Marcos Marino and Gregory Moore | Counting higher genus curves in a Calabi-Yau manifold | 26 pages, harvmac b mode | Nucl.Phys. B543 (1999) 592-614 | 10.1016/S0550-3213(98)00847-5 | YCPT-23 | hep-th | null | We explicitly evaluate the low energy coupling $F_g$ in a $d=4,\mathcal{N}=2$
compactification of the heterotic string. The holomorphic piece of this
expression provides the information not encoded in the holomorphic anomaly
equations, and we find that it is given by an elementary polylogarithm with
index $3-2g$, thus generalizing in a natural way the known results for $g=0,1$.
The heterotic model has a dual Calabi-Yau compactification of the type II
string. We compare the answer with the general form expected from
curve-counting formulae and find good agreement. As a corollary of this
comparison we predict some numbers of higher genus curves in a specific
Calabi-Yau, and extract some intersection numbers on the moduli space of genus
$g$ Riemann surfaces.
| [
{
"created": "Thu, 20 Aug 1998 20:04:23 GMT",
"version": "v1"
}
] | 2017-09-07 | [
[
"Marino",
"Marcos",
""
],
[
"Moore",
"Gregory",
""
]
] | We explicitly evaluate the low energy coupling $F_g$ in a $d=4,\mathcal{N}=2$ compactification of the heterotic string. The holomorphic piece of this expression provides the information not encoded in the holomorphic anomaly equations, and we find that it is given by an elementary polylogarithm with index $3-2g$, thus generalizing in a natural way the known results for $g=0,1$. The heterotic model has a dual Calabi-Yau compactification of the type II string. We compare the answer with the general form expected from curve-counting formulae and find good agreement. As a corollary of this comparison we predict some numbers of higher genus curves in a specific Calabi-Yau, and extract some intersection numbers on the moduli space of genus $g$ Riemann surfaces. |
1907.06656 | Hao-Yu Sun | Chao-Ming Jian, Andreas W. W. Ludwig, Zhu-Xi Luo, Hao-Yu Sun and
Zhenghan Wang | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual
using all-genus partition functions | 54 pages, 12 figures | null | 10.1007/JHEP10(2020)129 | null | hep-th cond-mat.str-el math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study 3D pure Einstein quantum gravity with negative cosmological
constant, in the regime where the AdS radius $l$ is of the order of the Planck
scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$
is the 3D Newton constant) equals $c=1/2$, we establish duality between 3D
gravity and 2D Ising conformal field theory by matching gravity and conformal
field theory partition functions for AdS spacetimes with general asymptotic
boundaries. This duality was suggested by a genus-one calculation of Castro et
al. [Phys. Rev. D {\bf 85}, 024032 (2012)]. Extension beyond genus-one requires
new mathematical results based on 3D Topological Quantum Field Theory; these
turn out to uniquely select the $c=1/2$ theory among all those with $c<1$,
extending the previous results of Castro et al..
Previous work suggests the reduction of the calculation of the gravity
partition function to a problem of summation over the orbits of the mapping
class group action on a "vacuum seed". But whether or not the summation is
well-defined for the general case was unknown before this work. Amongst all
theories with Brown-Henneaux central charge $c<1$, the sum is finite and unique
{\it only} when $c=1/2$, corresponding to a dual Ising conformal field theory
on the asymptotic boundary.
| [
{
"created": "Mon, 15 Jul 2019 18:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2020 19:47:07 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Jian",
"Chao-Ming",
""
],
[
"Ludwig",
"Andreas W. W.",
""
],
[
"Luo",
"Zhu-Xi",
""
],
[
"Sun",
"Hao-Yu",
""
],
[
"Wang",
"Zhenghan",
""
]
] | We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D Newton constant) equals $c=1/2$, we establish duality between 3D gravity and 2D Ising conformal field theory by matching gravity and conformal field theory partition functions for AdS spacetimes with general asymptotic boundaries. This duality was suggested by a genus-one calculation of Castro et al. [Phys. Rev. D {\bf 85}, 024032 (2012)]. Extension beyond genus-one requires new mathematical results based on 3D Topological Quantum Field Theory; these turn out to uniquely select the $c=1/2$ theory among all those with $c<1$, extending the previous results of Castro et al.. Previous work suggests the reduction of the calculation of the gravity partition function to a problem of summation over the orbits of the mapping class group action on a "vacuum seed". But whether or not the summation is well-defined for the general case was unknown before this work. Amongst all theories with Brown-Henneaux central charge $c<1$, the sum is finite and unique {\it only} when $c=1/2$, corresponding to a dual Ising conformal field theory on the asymptotic boundary. |
hep-th/0609088 | Osvaldo Pablo Santillan | O. P. Santillan | A Kahler-Einstein inspired anzatz for Spin(7) holonomy metrics and its
solution | Some formulas corrected | null | null | null | hep-th math.DG | null | We construct propose an anzatz for Spin(7) metrics as an R-bundle over closed
G2 structures. These G2 structures are R3 bundles over 4-dimensional compact
quaternion Kahler spaces. The inspiration for the anzatz metric comes from the
Bryant-Salamon construction of G2 holonomy metrics and from the fact that the
twistor space of any compact quaternion Kahler space is Kahler-Einstein. The
reduction of the holonomy to a subgroup of Spin(7) gives non linear system
relating three unknown functions of one variable. We obtain a particular
solution and we find that the resulting metric is a Calabi-Yau cone over an
Einstein-Sassaki manifold which means that the holonomy is reduced to SU(4).
Another coordinate change show us that our metrics are hyperkahler cones known
as Swann bundles, thus the holonomy is reduced to Sp(2) and the cone is
tri-Sassakian. We revert our argument and state that the Swann bundle define a
closed G2 structure by reduction along an isometry. We calculate the torsion
classes for such structure explicitly.
| [
{
"created": "Wed, 13 Sep 2006 14:03:03 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2006 22:21:31 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Sep 2006 02:08:02 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Jan 2007 19:16:41 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Santillan",
"O. P.",
""
]
] | We construct propose an anzatz for Spin(7) metrics as an R-bundle over closed G2 structures. These G2 structures are R3 bundles over 4-dimensional compact quaternion Kahler spaces. The inspiration for the anzatz metric comes from the Bryant-Salamon construction of G2 holonomy metrics and from the fact that the twistor space of any compact quaternion Kahler space is Kahler-Einstein. The reduction of the holonomy to a subgroup of Spin(7) gives non linear system relating three unknown functions of one variable. We obtain a particular solution and we find that the resulting metric is a Calabi-Yau cone over an Einstein-Sassaki manifold which means that the holonomy is reduced to SU(4). Another coordinate change show us that our metrics are hyperkahler cones known as Swann bundles, thus the holonomy is reduced to Sp(2) and the cone is tri-Sassakian. We revert our argument and state that the Swann bundle define a closed G2 structure by reduction along an isometry. We calculate the torsion classes for such structure explicitly. |
2110.13977 | Sebasti\'an Salgado | S. Salgado | On the $L_\infty$ formulation of Chern-Simons theories | 30 pages, no figures, added references | null | 10.1007/JHEP04(2022)142 | MPP-2021-124 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $L_{\infty}$ algebras have been recently studied as algebraic frameworks in
the formulation of gauge theories in which the gauge symmetries and the
dynamics of the interacting theories are contained in a set of products acting
on a graded vector space. On the other hand, FDAs are differential algebras
that generalize Lie algebras by including higher-degree differential forms on
their differential equations. In this article, we review the dual relation
between FDAs and $L_{\infty}$ algebras. We study the formulation of standard
Chern--Simons theories in terms of $L_{\infty}$ algebras and extend the results
to FDA-based gauge theories. We focus on two cases, namely a flat (or
zero-curvature) theory and a generalized Chern--Simons theory, both including
high-degree differential forms as fundamental fields.
| [
{
"created": "Tue, 26 Oct 2021 19:29:25 GMT",
"version": "v1"
}
] | 2022-05-11 | [
[
"Salgado",
"S.",
""
]
] | $L_{\infty}$ algebras have been recently studied as algebraic frameworks in the formulation of gauge theories in which the gauge symmetries and the dynamics of the interacting theories are contained in a set of products acting on a graded vector space. On the other hand, FDAs are differential algebras that generalize Lie algebras by including higher-degree differential forms on their differential equations. In this article, we review the dual relation between FDAs and $L_{\infty}$ algebras. We study the formulation of standard Chern--Simons theories in terms of $L_{\infty}$ algebras and extend the results to FDA-based gauge theories. We focus on two cases, namely a flat (or zero-curvature) theory and a generalized Chern--Simons theory, both including high-degree differential forms as fundamental fields. |
1801.10605 | Georgios Papathanasiou | Vittorio Del Duca, Stefan Druc, James Drummond, Claude Duhr, Falko
Dulat, Robin Marzucca, Georgios Papathanasiou, Bram Verbeek | The seven-gluon amplitude in multi-Regge kinematics beyond leading
logarithmic accuracy | 56 pages, 4 figures, 1 table; v2: minor corrections and
clarifications, matches published version | null | 10.1007/JHEP06(2018)116 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an all-loop dispersion integral, well-defined to arbitrary
logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in
planar N=4 super Yang-Mills theory. It follows from factorization, dual
conformal symmetry and consistency with soft limits, and specifically holds in
the region where the energies of all produced particles have been analytically
continued. After promoting the known symbol of the 2-loop N-particle MHV
amplitude in this region to a function, we specialize to N=7, and extract from
it the next-to-leading order (NLO) correction to the BFKL central emission
vertex, namely the building block of the dispersion integral that had not yet
appeared in the well-studied six-gluon case. As an application of our results,
we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic
accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the
two independent NMHV helicity configurations, respectively.
| [
{
"created": "Wed, 31 Jan 2018 18:51:18 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2018 16:38:17 GMT",
"version": "v2"
}
] | 2018-11-15 | [
[
"Del Duca",
"Vittorio",
""
],
[
"Druc",
"Stefan",
""
],
[
"Drummond",
"James",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Marzucca",
"Robin",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Verbeek",
"Bram",
""
]
] | We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N-particle MHV amplitude in this region to a function, we specialize to N=7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively. |
0805.3236 | Jeong-Hyuck Park | Imtak Jeon, Jongwook Kim, Nakwoo Kim, Sang-Woo Kim and Jeong-Hyuck
Park | Classification of the BPS states in Bagger-Lambert Theory | 28+1 pages, No figure; v2 Sec.3.3 slightly expanded, typos fixed; v3
some comments added, to appear in JHEP | JHEP 0807:056,2008 | 10.1088/1126-6708/2008/07/056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify, in a group theoretical manner, the BPS configurations in the
multiple M2-brane theory recently proposed by Bagger and Lambert. We present
three types of BPS equations preserving various fractions of supersymmetries:
in the first type we have constant fields and the interactions are purely
algebraic in nature; in the second type the equations are invariant under
spatial rotation SO(2), and the fields can be time-dependent; in the third
class the equations are invariant under boost SO(1,1) and provide the
eleven-dimensional generalizations of the Nahm equations. The BPS equations for
different number of supersymmetries exhibit the division algebra structures:
octonion, quarternion or complex.
| [
{
"created": "Wed, 21 May 2008 19:33:34 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2008 07:46:25 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jun 2008 10:22:15 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Jeon",
"Imtak",
""
],
[
"Kim",
"Jongwook",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Kim",
"Sang-Woo",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | We classify, in a group theoretical manner, the BPS configurations in the multiple M2-brane theory recently proposed by Bagger and Lambert. We present three types of BPS equations preserving various fractions of supersymmetries: in the first type we have constant fields and the interactions are purely algebraic in nature; in the second type the equations are invariant under spatial rotation SO(2), and the fields can be time-dependent; in the third class the equations are invariant under boost SO(1,1) and provide the eleven-dimensional generalizations of the Nahm equations. The BPS equations for different number of supersymmetries exhibit the division algebra structures: octonion, quarternion or complex. |
1111.6938 | Andrzej G\"orlich | Andrzej G\"orlich | Causal Dynamical Triangulations in Four Dimensions | PhD thesis, Jagiellonian University, September 2010, 110 pages | null | null | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent results obtained within a non-perturbative approach to quantum gravity
based on the method of four-dimensional Causal Dynamical Triangulations are
described. The phase diagram of the model consists of three phases. In the
physically most interesting phase, the time-translational symmetry is
spontaneously broken. Calculations of expectation values required introducing
procedures taking into account the inhomogeneity of configurations. It was
shown that the dynamically emerged four-dimensional background geometry
corresponds to a Euclidean de Sitter space and reveals no fractality at large
distances. Measurements of the covariance matrix of scale factor fluctuations
allowed to reconstruct the effective action, which remained in agreement with
the discrete minisuperspace action. Values of the Hausdorff dimension and
spectral dimension of three-dimensional spatial slices suggest their fractal
nature, which was confirmed by a direct analysis of triangulation structure.
The Monte Carlo algorithm used to obtain presented results is described.
| [
{
"created": "Tue, 29 Nov 2011 19:15:16 GMT",
"version": "v1"
}
] | 2011-11-30 | [
[
"Görlich",
"Andrzej",
""
]
] | Recent results obtained within a non-perturbative approach to quantum gravity based on the method of four-dimensional Causal Dynamical Triangulations are described. The phase diagram of the model consists of three phases. In the physically most interesting phase, the time-translational symmetry is spontaneously broken. Calculations of expectation values required introducing procedures taking into account the inhomogeneity of configurations. It was shown that the dynamically emerged four-dimensional background geometry corresponds to a Euclidean de Sitter space and reveals no fractality at large distances. Measurements of the covariance matrix of scale factor fluctuations allowed to reconstruct the effective action, which remained in agreement with the discrete minisuperspace action. Values of the Hausdorff dimension and spectral dimension of three-dimensional spatial slices suggest their fractal nature, which was confirmed by a direct analysis of triangulation structure. The Monte Carlo algorithm used to obtain presented results is described. |
hep-th/9706169 | Sergei Kuzenko | Norbert Dragon, Sergei M. Kuzenko and Ulrich Theis (Institut fuer
Theoretische Physik, Universitaet Hannover) | The vector-tensor multiplet in harmonic superspace | 10 pages, LaTeX, component results added, final version to appear in
Z. Phys. C | Eur.Phys.J.C4:717-721,1998 | 10.1007/s100520050242 | ITP-UH-20/97 | hep-th | null | We describe the vector-tensor multiplet and derive its Chern-Simons couplings
to the N=2 Yang-Mills gauge superfield in harmonic superspace.
| [
{
"created": "Tue, 24 Jun 1997 18:50:10 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 1997 13:21:49 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Nov 1997 13:17:25 GMT",
"version": "v3"
}
] | 2011-09-13 | [
[
"Dragon",
"Norbert",
"",
"Institut fuer\n Theoretische Physik, Universitaet Hannover"
],
[
"Kuzenko",
"Sergei M.",
"",
"Institut fuer\n Theoretische Physik, Universitaet Hannover"
],
[
"Theis",
"Ulrich",
"",
"Institut fuer\n Theoretische Physik, Universitaet Hannover"
]
] | We describe the vector-tensor multiplet and derive its Chern-Simons couplings to the N=2 Yang-Mills gauge superfield in harmonic superspace. |
1706.00771 | Per Kraus | Per Kraus, Allic Sivaramakrishnan, and River Snively | Black holes from CFT: Universality of correlators at large c | 18 pages. v2: minor edits | null | 10.1007/JHEP08(2017)084 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional conformal field theories at large central charge and with a
sufficiently sparse spectrum of light states have been shown to exhibit
universal thermodynamics. This thermodynamics matches that of AdS$_3$ gravity,
with a Hawking-Page transition between thermal AdS and the BTZ black hole. We
extend these results to correlation functions of light operators. Upon making
some additional assumptions, such as large $c$ factorization of correlators, we
establish that the thermal AdS and BTZ solutions emerge as the universal
backgrounds for the computation of correlators. In particular, Witten diagrams
computed on these backgrounds yield the CFT correlators, order by order in a
large $c$ expansion, with exponentially small corrections. In pure CFT terms,
our result is that thermal correlators of light operators are determined
entirely by light spectrum data. Our analysis is based on the constraints of
modular invariance applied to the torus two-point function.
| [
{
"created": "Fri, 2 Jun 2017 17:57:49 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2017 20:21:36 GMT",
"version": "v2"
}
] | 2017-09-13 | [
[
"Kraus",
"Per",
""
],
[
"Sivaramakrishnan",
"Allic",
""
],
[
"Snively",
"River",
""
]
] | Two-dimensional conformal field theories at large central charge and with a sufficiently sparse spectrum of light states have been shown to exhibit universal thermodynamics. This thermodynamics matches that of AdS$_3$ gravity, with a Hawking-Page transition between thermal AdS and the BTZ black hole. We extend these results to correlation functions of light operators. Upon making some additional assumptions, such as large $c$ factorization of correlators, we establish that the thermal AdS and BTZ solutions emerge as the universal backgrounds for the computation of correlators. In particular, Witten diagrams computed on these backgrounds yield the CFT correlators, order by order in a large $c$ expansion, with exponentially small corrections. In pure CFT terms, our result is that thermal correlators of light operators are determined entirely by light spectrum data. Our analysis is based on the constraints of modular invariance applied to the torus two-point function. |
0810.3516 | Sachin Jain | Sachin Jain, Kamal L. Panigrahi | Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux | 12 pages,Minor modification,Published Version in JHEP | JHEP 0812:064,2008 | 10.1088/1126-6708/2008/12/064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study general rotating string solution in the AdS(4) X CP**3 background
with a B_NS holonomy turned on over ${\bf CP}^1$ $\subset $ $ {\bf CP}^3$. We
find the giant magnon and single spike solutions for the string moving in this
background corresponding to open spin chain. We calculate the corresponding
dispersion relation among various conserved charges for both the cases. We
further study the finite size effect on both the giant magnon and single spike
solutions.
| [
{
"created": "Mon, 20 Oct 2008 10:25:36 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Oct 2008 06:23:42 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2008 16:47:44 GMT",
"version": "v3"
}
] | 2009-02-05 | [
[
"Jain",
"Sachin",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | We study general rotating string solution in the AdS(4) X CP**3 background with a B_NS holonomy turned on over ${\bf CP}^1$ $\subset $ $ {\bf CP}^3$. We find the giant magnon and single spike solutions for the string moving in this background corresponding to open spin chain. We calculate the corresponding dispersion relation among various conserved charges for both the cases. We further study the finite size effect on both the giant magnon and single spike solutions. |
hep-th/0409083 | Michael Sarrazin | Michael Sarrazin, Fabrice Petit | Quantum dynamics of particles in a discrete two-branes world model: Can
matter particles exchange occur between branes? | 11 pages, no figures. Final version. Published in Acta Physica
Polonica B | Acta Phys.Polon. B36 (2005) 1933-1950 | null | null | hep-th gr-qc hep-ph | null | In a recent paper, a model for describing the quantum dynamics of massive
particles in a non-commutative two-sheeted spacetime was proposed. This model
considers a universe made with two spacetime sheets embedded in a 5D bulk where
the fifth dimension is restricted to only two points. It was shown that this
construction has several important consequences for the quantum dynamics of
massive particles. Most notably, it was demonstrated that a coupling arises
between the two sheets allowing matter exchange in presence of intense magnetic
vector potentials. In this paper, we show that non-commutative geometry is not
absolutely necessary to obtain such a result since a more traditional approach
allows one to reach a similar conclusion. The fact that two different
approaches provide similar results suggests that standard matter exchange
between branes might finally occur contrary to conventional belief.
| [
{
"created": "Tue, 7 Sep 2004 16:17:11 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2005 14:08:57 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Jun 2005 17:37:20 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Sarrazin",
"Michael",
""
],
[
"Petit",
"Fabrice",
""
]
] | In a recent paper, a model for describing the quantum dynamics of massive particles in a non-commutative two-sheeted spacetime was proposed. This model considers a universe made with two spacetime sheets embedded in a 5D bulk where the fifth dimension is restricted to only two points. It was shown that this construction has several important consequences for the quantum dynamics of massive particles. Most notably, it was demonstrated that a coupling arises between the two sheets allowing matter exchange in presence of intense magnetic vector potentials. In this paper, we show that non-commutative geometry is not absolutely necessary to obtain such a result since a more traditional approach allows one to reach a similar conclusion. The fact that two different approaches provide similar results suggests that standard matter exchange between branes might finally occur contrary to conventional belief. |
1203.2161 | Mairi Sakellariadou | Mairi Sakellariadou | Highlights of Noncommutative Spectral Geometry | 4 pages, to be published in the Journal of Physics Conference Series
under the title "Vishwa Mimansa - An Interpretative Exposition of the
Universe"; talk given at the 7th International Conference on Gravitation and
Cosmology, 14-19 December 2011, Goa, India | null | null | KCL-PH-TH/2012-12 | hep-th astro-ph.CO gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A summary of noncommutative spectral geometry as an approach to unification
is presented. The role of the doubling of the algebra, the seeds of
quantization and some cosmological implications are briefly discussed.
| [
{
"created": "Fri, 9 Mar 2012 18:44:47 GMT",
"version": "v1"
}
] | 2012-03-12 | [
[
"Sakellariadou",
"Mairi",
""
]
] | A summary of noncommutative spectral geometry as an approach to unification is presented. The role of the doubling of the algebra, the seeds of quantization and some cosmological implications are briefly discussed. |
2401.03572 | Patrick Draper | Tom Banks, Patrick Draper, and Manthos Karydas | Breakdown of Field Theory in Near-Horizon Regions | 13 pages. v3: refs added. v2: minor clarifications | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We discuss back-reaction in the semiclassical treatment of quantum fields
near a black hole. When the state deviates significantly from Hartle-Hawking,
simple energetic considerations of back-reaction give rise to a characteristic
radial distance scale $\sim (r_s^{2}G_N)^{1/D}$, below which some breakdown of
effective field theory may occur.
| [
{
"created": "Sun, 7 Jan 2024 19:58:38 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2024 03:03:23 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Jan 2024 03:17:42 GMT",
"version": "v3"
}
] | 2024-01-23 | [
[
"Banks",
"Tom",
""
],
[
"Draper",
"Patrick",
""
],
[
"Karydas",
"Manthos",
""
]
] | We discuss back-reaction in the semiclassical treatment of quantum fields near a black hole. When the state deviates significantly from Hartle-Hawking, simple energetic considerations of back-reaction give rise to a characteristic radial distance scale $\sim (r_s^{2}G_N)^{1/D}$, below which some breakdown of effective field theory may occur. |
hep-th/9310066 | null | Marco Matone | Liouville Equation And Schottky Problem | 12 pages, LaTex file. Expanded version and misprints corrected | Lett.Math.Phys. 33 (1995) 75-86 | 10.1007/BF00750813 | DFPD/92/TH/46, IC-MATH/9-92 | hep-th alg-geom math.AG | null | An Ansatz for the Poincar\'e metric on compact Riemann surfaces is proposed.
This implies that the Liouville equation reduces to an equation resembling a
non chiral analogous of the higher genus relationships (KP equation) arising in
the framework of Schottky's problem solution. This approach connects
uniformization (Fuchsian groups) and moduli space theories with KP hierarchy.
Besides its mathematical interest, the Ansatz has some applications in the
framework of quantum Riemann surfaces arising in 2D gravity.
| [
{
"created": "Tue, 12 Oct 1993 17:05:27 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 1993 16:02:51 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Matone",
"Marco",
""
]
] | An Ansatz for the Poincar\'e metric on compact Riemann surfaces is proposed. This implies that the Liouville equation reduces to an equation resembling a non chiral analogous of the higher genus relationships (KP equation) arising in the framework of Schottky's problem solution. This approach connects uniformization (Fuchsian groups) and moduli space theories with KP hierarchy. Besides its mathematical interest, the Ansatz has some applications in the framework of quantum Riemann surfaces arising in 2D gravity. |
hep-th/0505028 | Ian J. Swanson | Ian Swanson | Superstring holography and integrability in AdS_5 x S^5 | Ph.D. Thesis (revised and formatted), LaTeX, 190 pages; v2:
references added; v3: typos corrected | null | null | CALT-68-2542 | hep-th | null | The AdS/CFT correspondence provides a rich testing ground for many important
topics in theoretical physics. The earliest and most striking example of the
correspondence is the conjectured duality between the energy spectrum of type
IIB superstring theory on AdS_5 x S^5 and the operator anomalous dimensions of
N=4 supersymmetric Yang-Mills theory in four dimensions. While there is a
substantial amount of evidence in support of this conjecture, direct tests have
been elusive. The difficulty of quantizing superstring theory in a curved
Ramond-Ramond background is compounded by the problem of computing anomalous
dimensions for non-BPS operators in the strongly coupled regime of the gauge
theory. The former problem can be circumvented to some extent by taking a
Penrose limit of AdS_5 x S^5, reducing the background to that of a pp-wave
(where the string theory is soluble). A corresponding limit of the gauge theory
was discovered by Berenstein, Maldacena and Nastase, who obtained successful
agreement between a class of operator dimensions in this limit and
corresponding string energies in the Penrose limit. In this dissertation we
present a body of work based largely on the introduction of worldsheet
interaction corrections to the free pp-wave string theory by lifting the
Penrose limit of AdS_5 x S^5. This provides a new class of rigorous tests of
AdS/CFT that probe a truly quantum realm of the string theory. By studying the
correspondence in greater detail, we stand to learn not only about how the
duality is realized on a more microscopic level, but how Yang-Mills theories
behave at strong coupling. The methods presented here will hopefully contribute
to the realization of these important goals.
| [
{
"created": "Tue, 3 May 2005 19:24:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2005 18:07:28 GMT",
"version": "v2"
},
{
"created": "Tue, 31 May 2005 16:40:49 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Swanson",
"Ian",
""
]
] | The AdS/CFT correspondence provides a rich testing ground for many important topics in theoretical physics. The earliest and most striking example of the correspondence is the conjectured duality between the energy spectrum of type IIB superstring theory on AdS_5 x S^5 and the operator anomalous dimensions of N=4 supersymmetric Yang-Mills theory in four dimensions. While there is a substantial amount of evidence in support of this conjecture, direct tests have been elusive. The difficulty of quantizing superstring theory in a curved Ramond-Ramond background is compounded by the problem of computing anomalous dimensions for non-BPS operators in the strongly coupled regime of the gauge theory. The former problem can be circumvented to some extent by taking a Penrose limit of AdS_5 x S^5, reducing the background to that of a pp-wave (where the string theory is soluble). A corresponding limit of the gauge theory was discovered by Berenstein, Maldacena and Nastase, who obtained successful agreement between a class of operator dimensions in this limit and corresponding string energies in the Penrose limit. In this dissertation we present a body of work based largely on the introduction of worldsheet interaction corrections to the free pp-wave string theory by lifting the Penrose limit of AdS_5 x S^5. This provides a new class of rigorous tests of AdS/CFT that probe a truly quantum realm of the string theory. By studying the correspondence in greater detail, we stand to learn not only about how the duality is realized on a more microscopic level, but how Yang-Mills theories behave at strong coupling. The methods presented here will hopefully contribute to the realization of these important goals. |
1302.5353 | Douglas Moore | Douglas Moore, Jared Greenwald and Gerald Cleaver | Gauge Models in D Dimensions | arXiv admin note: substantial text overlap with arXiv:1107.5758 | null | 10.1142/S0217732313500557 | CASPER-13-1, BU-HEPP-13-01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Utilizing the Gauge Framework, software under development at Baylor
University, we explicitly construct all layer 1 weakly coupled free fermionic
heterotic string (WCFFHS) gauge models up to order 32 in four to ten large
spacetime dimensions. These gauge models are well suited to large scale
systematic surveys and, while they offer little phenomenologically, are useful
for understanding the structure of the WCFFHS region of the string landscape.
Herein we present the gauge groups statistics for this swath of the landscape
for both supersymmetric and non-supersymmetric models.
| [
{
"created": "Thu, 21 Feb 2013 17:47:50 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 2013 17:24:33 GMT",
"version": "v2"
}
] | 2013-06-03 | [
[
"Moore",
"Douglas",
""
],
[
"Greenwald",
"Jared",
""
],
[
"Cleaver",
"Gerald",
""
]
] | Utilizing the Gauge Framework, software under development at Baylor University, we explicitly construct all layer 1 weakly coupled free fermionic heterotic string (WCFFHS) gauge models up to order 32 in four to ten large spacetime dimensions. These gauge models are well suited to large scale systematic surveys and, while they offer little phenomenologically, are useful for understanding the structure of the WCFFHS region of the string landscape. Herein we present the gauge groups statistics for this swath of the landscape for both supersymmetric and non-supersymmetric models. |
1712.03581 | Fezzeh Naderi | F. Naderi, A. Rezaei-Aghdam, F. Darabi | Non-critical anisotropic Bianchi type $I$ string cosmology with
$\alpha'$-corrections | null | Phys. Rev. D 98, 026009 (2018) | 10.1103/PhysRevD.98.026009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present non-critical Bianchi type $I$ string cosmology solutions in the
presence of central charge deficit term $\Lambda$. The leading order string
frame curvature appears to be in the high curvature limit $R\alpha'\gtrsim1$,
which underlines the necessity of including higher order $\alpha'$-corrections.
We give new solutions of two-loop (order $\alpha'$) $\beta$-function equations
of $\sigma$-model with non-zero $\Lambda$ and dilaton field in both cases of
absence and presence of spatially homogeneous $H$-field ($H=dB$). Also, the
evolution of solutions is studied in the Einstein frame, where the string
effective action can transform to Gauss-Bonnet gravity model coupled to the
dilaton field with potential. We study explicit examples in order $\alpha'$
with chosen values of appeared constants in the solutions and discuss the
cosmological implications.
| [
{
"created": "Sun, 10 Dec 2017 19:56:18 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 07:45:50 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jun 2018 17:01:49 GMT",
"version": "v3"
}
] | 2018-07-10 | [
[
"Naderi",
"F.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
],
[
"Darabi",
"F.",
""
]
] | We present non-critical Bianchi type $I$ string cosmology solutions in the presence of central charge deficit term $\Lambda$. The leading order string frame curvature appears to be in the high curvature limit $R\alpha'\gtrsim1$, which underlines the necessity of including higher order $\alpha'$-corrections. We give new solutions of two-loop (order $\alpha'$) $\beta$-function equations of $\sigma$-model with non-zero $\Lambda$ and dilaton field in both cases of absence and presence of spatially homogeneous $H$-field ($H=dB$). Also, the evolution of solutions is studied in the Einstein frame, where the string effective action can transform to Gauss-Bonnet gravity model coupled to the dilaton field with potential. We study explicit examples in order $\alpha'$ with chosen values of appeared constants in the solutions and discuss the cosmological implications. |
1901.02887 | Jacob Bourjaily | Jacob L. Bourjaily, Falko Dulat, and Erik Panzer | Manifestly Dual-Conformal Loop Integration | 64 pages; 4 figures; complete details of the concrete examples are
provided in ancillary files. Typos fixed and similar improvements in v2 | null | 10.1016/j.nuclphysb.2019.03.022 | SLAC-PUB-17371 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Local, manifestly dual-conformally invariant loop integrands are now known
for all finite quantities associated with observables in planar, maximally
supersymmetric Yang-Mills theory through three loops. These representations,
however, are not infrared-finite term by term and therefore require
regularization; and even using a regulator consistent with dual-conformal
invariance, ordinary methods of loop integration would naively obscure this
symmetry. In this work, we show how any planar loop integral through at least
two loops can be systematically regulated and evaluated directly in terms of
strictly finite, manifestly dual-conformal Feynman-parameter integrals. We
apply these methods to the case of the two-loop ratio and remainder functions
for six particles, reproducing the known results in terms of individually
regulated local loop integrals, and we comment on some of the novelties that
arise for this regularization scheme not previously seen at one loop.
| [
{
"created": "Wed, 9 Jan 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2019 05:20:26 GMT",
"version": "v2"
}
] | 2019-05-01 | [
[
"Bourjaily",
"Jacob L.",
""
],
[
"Dulat",
"Falko",
""
],
[
"Panzer",
"Erik",
""
]
] | Local, manifestly dual-conformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric Yang-Mills theory through three loops. These representations, however, are not infrared-finite term by term and therefore require regularization; and even using a regulator consistent with dual-conformal invariance, ordinary methods of loop integration would naively obscure this symmetry. In this work, we show how any planar loop integral through at least two loops can be systematically regulated and evaluated directly in terms of strictly finite, manifestly dual-conformal Feynman-parameter integrals. We apply these methods to the case of the two-loop ratio and remainder functions for six particles, reproducing the known results in terms of individually regulated local loop integrals, and we comment on some of the novelties that arise for this regularization scheme not previously seen at one loop. |
0710.2224 | K. V. Shajesh | Debabrata Basu | The Plancherel Formula for the Universal Covering Group of SL(2,R)
Revisited | Since a substitution changes f(z) to a multi-valued function we will
remove the argument given in the introduction which was never used in the
text. Everything comes out naturally from the integral kernel of the group
ring | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Plancherel formula for the universal covering group of $SL(2, R)$ derived
earlier by Pukanszky on which Herb and Wolf build their Plancherel theorem for
general semisimple groups is reconsidered. It is shown that a set of unitarily
equivalent representations is treated by these authors as distinct.
Identification of this equivalence results in a Plancherel measure
($s\mathrm{Re}\tanh\pi(s+\frac{i\tau}{2}), 0\leq\tau<1)$ which is different
from the Pukanszky-Herb-Wolf measure ($s\mathrm{Re}\tanh\pi(s+i\tau),
0\leq\tau<1)$.
| [
{
"created": "Thu, 11 Oct 2007 12:02:21 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2008 05:26:55 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Sep 2008 15:05:53 GMT",
"version": "v3"
}
] | 2008-09-14 | [
[
"Basu",
"Debabrata",
""
]
] | The Plancherel formula for the universal covering group of $SL(2, R)$ derived earlier by Pukanszky on which Herb and Wolf build their Plancherel theorem for general semisimple groups is reconsidered. It is shown that a set of unitarily equivalent representations is treated by these authors as distinct. Identification of this equivalence results in a Plancherel measure ($s\mathrm{Re}\tanh\pi(s+\frac{i\tau}{2}), 0\leq\tau<1)$ which is different from the Pukanszky-Herb-Wolf measure ($s\mathrm{Re}\tanh\pi(s+i\tau), 0\leq\tau<1)$. |
2107.13091 | Sahand Seifnashri | Justin Kaidi, Zohar Komargodski, Kantaro Ohmori, Sahand Seifnashri,
Shu-Heng Shao | Higher central charges and topological boundaries in 2+1-dimensional
TQFTs | 51 pages. v2: minor clarifications and references added | SciPost Phys. 13, 067 (2022) | 10.21468/SciPostPhys.13.3.067 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A 2+1-dimensional topological quantum field theory (TQFT) may or may not
admit topological (gapped) boundary conditions. A famous necessary, but not
sufficient, condition for the existence of a topological boundary condition is
that the chiral central charge $c_-$ has to vanish. In this paper, we consider
conditions associated with "higher" central charges, which have been introduced
recently in the math literature. In terms of these new obstructions, we
identify necessary and sufficient conditions for the existence of a topological
boundary in the case of bosonic, Abelian TQFTs, providing an alternative to the
identification of a Lagrangian subgroup. Our proof relies on general aspects of
gauging generalized global symmetries. For non-Abelian TQFTs, we give a
geometric way of studying topological boundary conditions, and explain certain
necessary conditions given again in terms of the higher central charges. Along
the way, we find a curious duality in the partition functions of Abelian TQFTs,
which begs for an explanation via the 3d-3d correspondence.
| [
{
"created": "Tue, 27 Jul 2021 22:15:36 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 2021 00:46:12 GMT",
"version": "v2"
}
] | 2022-09-28 | [
[
"Kaidi",
"Justin",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Ohmori",
"Kantaro",
""
],
[
"Seifnashri",
"Sahand",
""
],
[
"Shao",
"Shu-Heng",
""
]
] | A 2+1-dimensional topological quantum field theory (TQFT) may or may not admit topological (gapped) boundary conditions. A famous necessary, but not sufficient, condition for the existence of a topological boundary condition is that the chiral central charge $c_-$ has to vanish. In this paper, we consider conditions associated with "higher" central charges, which have been introduced recently in the math literature. In terms of these new obstructions, we identify necessary and sufficient conditions for the existence of a topological boundary in the case of bosonic, Abelian TQFTs, providing an alternative to the identification of a Lagrangian subgroup. Our proof relies on general aspects of gauging generalized global symmetries. For non-Abelian TQFTs, we give a geometric way of studying topological boundary conditions, and explain certain necessary conditions given again in terms of the higher central charges. Along the way, we find a curious duality in the partition functions of Abelian TQFTs, which begs for an explanation via the 3d-3d correspondence. |
2312.12629 | Boris Pioline | Sergei Alexandrov, Soheyla Feyzbakhsh, Albrecht Klemm, Boris Pioline | Quantum geometry and mock modularity | 34 pages | null | null | null | hep-th math.AG | http://creativecommons.org/licenses/by/4.0/ | In previous work, we used new mathematical relations between Gopakumar-Vafa
(GV) invariants and rank 0 Donaldson-Thomas (DT) invariants to determine the
first few terms in the generating series of Abelian D4-D2-D0 indices for a
class of compact one-parameter Calabi-Yau threefolds. This allowed us to obtain
striking checks of S-duality, namely the prediction that these series should be
vector-valued weakly holomorphic modular forms under $SL(2,\mathbb{Z})$. In
this work, we extend this analysis to the case of D4-D2-D0 indices with two
units of D4-brane charge, where S-duality instead predicts that the
corresponding generating series should be mock modular with a specific shadow.
For the degree 10 hypersurface in weighted projective space
$\mathbb{P}_{5,2,1,1,1}$, and the degree 8 hypersurface in
$\\mathbb{P}_{4,1,1,1,1}$, where GV invariants can be computed to sufficiently
high genus, we find that the first few terms indeed match a unique mock modular
form with the required properties, which we determine explicitly. Turning the
argument around, we obtain new boundary conditions on the holomorphic ambiguity
of the topological string amplitude, which in principle allow to determine it
completely up to genus 95 and 112, respectively, i.e. almost twice the maximal
genus obtainable using gap and ordinary Castelnuovo vanishing conditions.
| [
{
"created": "Tue, 19 Dec 2023 22:18:04 GMT",
"version": "v1"
}
] | 2023-12-21 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Feyzbakhsh",
"Soheyla",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Pioline",
"Boris",
""
]
] | In previous work, we used new mathematical relations between Gopakumar-Vafa (GV) invariants and rank 0 Donaldson-Thomas (DT) invariants to determine the first few terms in the generating series of Abelian D4-D2-D0 indices for a class of compact one-parameter Calabi-Yau threefolds. This allowed us to obtain striking checks of S-duality, namely the prediction that these series should be vector-valued weakly holomorphic modular forms under $SL(2,\mathbb{Z})$. In this work, we extend this analysis to the case of D4-D2-D0 indices with two units of D4-brane charge, where S-duality instead predicts that the corresponding generating series should be mock modular with a specific shadow. For the degree 10 hypersurface in weighted projective space $\mathbb{P}_{5,2,1,1,1}$, and the degree 8 hypersurface in $\\mathbb{P}_{4,1,1,1,1}$, where GV invariants can be computed to sufficiently high genus, we find that the first few terms indeed match a unique mock modular form with the required properties, which we determine explicitly. Turning the argument around, we obtain new boundary conditions on the holomorphic ambiguity of the topological string amplitude, which in principle allow to determine it completely up to genus 95 and 112, respectively, i.e. almost twice the maximal genus obtainable using gap and ordinary Castelnuovo vanishing conditions. |
1409.0449 | Sergei Lukyanov L | Vladimir V. Bazhanov, Gleb A. Kotousov and Sergei L. Lukyanov | Winding vacuum energies in a deformed O(4) sigma model | 10 pages, 4 figures | null | 10.1016/j.nuclphysb.2014.11.005 | RUNHETC-2014-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of calculating the Casimir energies in the winding
sectors of Fateev's SS-model, which is an integrable two-parameter deformation
of the O(4) non-linear sigma model in two dimensions. This problem lies beyond
the scope of all traditional methods of integrable quantum field theory
including the thermodynamic Bethe ansatz and non-linear integral equations.
Here we propose a solution based on a remarkable correspondence between
classical and quantum integrable systems and express the winding energies in
terms of certain solutions of the classical sinh-Gordon equation.
| [
{
"created": "Mon, 1 Sep 2014 15:21:50 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Kotousov",
"Gleb A.",
""
],
[
"Lukyanov",
"Sergei L.",
""
]
] | We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation. |
hep-th/0111222 | Sanjaye Ramgoolam | Steve Corley, Antal Jevicki, Sanjaye Ramgoolam | Exact Correlators of Giant Gravitons from dual N=4 SYM | 28 pages (harvmac big); v2 : added refs and acknowledgements, v3:
typos corrected | Adv.Theor.Math.Phys. 5 (2002) 809-839 | null | Brown-Het-1292 | hep-th | null | A class of correlation functions of half-BPS composite operators are computed
exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These
have a simple dependence on the four-dimensional spacetime coordinates and are
related to correlators in a one-dimensional Matrix Model with complex Matrices
obtained by dimensional reduction of N=4 SYM on a three-sphere. A key technical
tool is Frobenius-Schur duality between symmetric and Unitary groups and the
results are expressed simply in terms of U(N) group integrals or equivalently
in terms of Littlewood-Richardson coefficients. These correlation functions are
used to understand the existence/properties of giant gravitons and related
solutions in the string theory dual on $ AdS_5 \times S^5$. Some of their
properties hint at integrability in N=4 SYM.
| [
{
"created": "Fri, 23 Nov 2001 21:17:25 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2001 15:12:38 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Feb 2002 17:02:46 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Corley",
"Steve",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | A class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the four-dimensional spacetime coordinates and are related to correlators in a one-dimensional Matrix Model with complex Matrices obtained by dimensional reduction of N=4 SYM on a three-sphere. A key technical tool is Frobenius-Schur duality between symmetric and Unitary groups and the results are expressed simply in terms of U(N) group integrals or equivalently in terms of Littlewood-Richardson coefficients. These correlation functions are used to understand the existence/properties of giant gravitons and related solutions in the string theory dual on $ AdS_5 \times S^5$. Some of their properties hint at integrability in N=4 SYM. |
1010.2776 | Manoel Messias Ferreira Junior | Rodolfo Casana, Manoel M. Ferreira Jr, Adalto R. Gomes, Frederico E.
P. dos Santos | Feynman propagator for the nonbirefringent CPT-even electrodynamics of
the Standard Model Extension | 12 pages, revtex style, published version | Phys.Rev.D82:125006,2010 | 10.1103/PhysRevD.82.125006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The CPT-even gauge sector of the Standard Model Extension is composed of
nineteen components comprised in the tensor $(K_{F})_{\mu \nu\rho\sigma}$, of \
which nine do not yield birefringence. In this work, we examine the Maxwell
electrodynamics supplemented by these nine nonbirefringent CPT-even components
in aspects related to the Feynman propagator and full consistency (stability,
causality, unitarity). We adopt a prescription that parametrizes the
nonbirefringent components in terms of a symmetric and traceless tensor,
$K_{\mu\nu},$ and second parametrization that writes $K_{\mu\nu}$ in terms of
two arbitrary four-vectors, $U_{\mu}$ and $V_{\nu}.$ We then explicitly
evaluate the gauge propagator of this electrodynamics in a tensor closed way.
In the sequel, we show that this propagator and involved dispersion relations
can be specialized for the parity-odd\ and parity-even sectors of the tensor
$(K_{F})_{\mu\nu\rho\sigma}$. In this way, we reassess some results of the
literature and derive some new outcomes showing that the parity-even
anisotropic sector engenders a stable, noncausal and unitary electrodynamics.
| [
{
"created": "Wed, 13 Oct 2010 21:12:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2010 13:05:59 GMT",
"version": "v2"
}
] | 2010-12-24 | [
[
"Casana",
"Rodolfo",
""
],
[
"Ferreira",
"Manoel M.",
"Jr"
],
[
"Gomes",
"Adalto R.",
""
],
[
"Santos",
"Frederico E. P. dos",
""
]
] | The CPT-even gauge sector of the Standard Model Extension is composed of nineteen components comprised in the tensor $(K_{F})_{\mu \nu\rho\sigma}$, of \ which nine do not yield birefringence. In this work, we examine the Maxwell electrodynamics supplemented by these nine nonbirefringent CPT-even components in aspects related to the Feynman propagator and full consistency (stability, causality, unitarity). We adopt a prescription that parametrizes the nonbirefringent components in terms of a symmetric and traceless tensor, $K_{\mu\nu},$ and second parametrization that writes $K_{\mu\nu}$ in terms of two arbitrary four-vectors, $U_{\mu}$ and $V_{\nu}.$ We then explicitly evaluate the gauge propagator of this electrodynamics in a tensor closed way. In the sequel, we show that this propagator and involved dispersion relations can be specialized for the parity-odd\ and parity-even sectors of the tensor $(K_{F})_{\mu\nu\rho\sigma}$. In this way, we reassess some results of the literature and derive some new outcomes showing that the parity-even anisotropic sector engenders a stable, noncausal and unitary electrodynamics. |
0710.2906 | Andre LeClair | Andr\'e LeClair | The gl(1|1) super-current algebra: the role of twist and logarithmic
fields | null | Adv. Theor. Math. Phys. (13) 2009 | null | null | hep-th math-ph math.MP | null | A free field representation of the gl(1|1)_k current algebra at arbitrary
level k is given in terms of two scalar fields and a symplectic fermion. The
primary fields for all representations are explicitly constructed using the
twist and logarithmic fields in the symplectic fermion sector. A closed
operator algebra is described at integer level k. Using a new super spin charge
separation involving gl(1|1)_N and su(N)_0, we describe how the gl(1|1)_N
current algebra can describe a non-trivial critical point of disordered Dirac
fermions. Local gl(1|1) invariant lagrangians are defined which generalize the
Liouville and sine-Gordon theories. We apply these new tools to the spin
quantum Hall transition and show that it can be described as a logarithmic
perturbation of the osp(2|2)_k current algebra at k=-2.
| [
{
"created": "Tue, 16 Oct 2007 15:10:50 GMT",
"version": "v1"
}
] | 2008-09-07 | [
[
"LeClair",
"André",
""
]
] | A free field representation of the gl(1|1)_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion. The primary fields for all representations are explicitly constructed using the twist and logarithmic fields in the symplectic fermion sector. A closed operator algebra is described at integer level k. Using a new super spin charge separation involving gl(1|1)_N and su(N)_0, we describe how the gl(1|1)_N current algebra can describe a non-trivial critical point of disordered Dirac fermions. Local gl(1|1) invariant lagrangians are defined which generalize the Liouville and sine-Gordon theories. We apply these new tools to the spin quantum Hall transition and show that it can be described as a logarithmic perturbation of the osp(2|2)_k current algebra at k=-2. |
2212.14088 | Pablo Saura-Bastida | Karl Landsteiner, Sergio Morales-Tejera and Pablo Saura-Bastida | Anomalous transport from geometry | 16 pages | null | 10.1103/PhysRevD.107.125003 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the relation between black hole geometries and chiral transport.
Integrating the anomaly equation in a black hole geometry allows to derive the
chiral transport coefficients for the thermal gas far from the horizon. The key
ingredient is to impose vanishing of the covariant current on the horizon. We
extend the method to include the usual gauge anomaly for charged black holes
and to weak magnetic fields. This allows to derive the full set of transport
coefficients describing the chiral magnetic and chiral vortical effects.
| [
{
"created": "Wed, 28 Dec 2022 20:14:12 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2023 14:37:30 GMT",
"version": "v2"
}
] | 2023-06-21 | [
[
"Landsteiner",
"Karl",
""
],
[
"Morales-Tejera",
"Sergio",
""
],
[
"Saura-Bastida",
"Pablo",
""
]
] | We revisit the relation between black hole geometries and chiral transport. Integrating the anomaly equation in a black hole geometry allows to derive the chiral transport coefficients for the thermal gas far from the horizon. The key ingredient is to impose vanishing of the covariant current on the horizon. We extend the method to include the usual gauge anomaly for charged black holes and to weak magnetic fields. This allows to derive the full set of transport coefficients describing the chiral magnetic and chiral vortical effects. |
1305.0256 | Yuho Sakatani | Masafumi Fukuma, Yuho Sakatani, Sotaro Sugishita | Master equation for the Unruh-DeWitt detector and the universal
relaxation time in de Sitter space | 41 pages, 10 figures; v2: typos corrected; v3: typos corrected; v4:
clarifications and references added; v5: final version appearing in PRD | Phys. Rev. D 89, 064024 (2014) | 10.1103/PhysRevD.89.064024 | KUNS-2450, MISC-2013-04 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the master equation that completely determines the time evolution
of the density matrix of the Unruh-DeWitt detector in an arbitrary background
geometry. We apply the equation to reveal a nonequilibrium thermodynamic
character of de Sitter space. This generalizes an earlier study on the
thermodynamic property of the Bunch-Davies vacuum that an Unruh-DeWitt detector
staying in the Poincare patch and interacting with a scalar field in the
Bunch-Davies vacuum behaves as if it is in a thermal bath of finite
temperature. In this paper, instead of the Bunch-Davies vacuum, we consider a
class of initial states of scalar field, for which the detector behaves as if
it is in a medium that is not in thermodynamic equilibrium and that undergoes a
relaxation to the equilibrium corresponding to the Bunch-Davies vacuum. We give
a prescription for calculating the relaxation times of the nonequilibrium
processes. We particularly show that, when the initial state of the scalar
field is the instantaneous ground state at a finite past, the relaxation time
is always given by a universal value of half the curvature radius of de Sitter
space. We expect that the relaxation time gives a nonequilibrium thermodynamic
quantity intrinsic to de Sitter space.
| [
{
"created": "Wed, 1 May 2013 19:42:19 GMT",
"version": "v1"
},
{
"created": "Fri, 10 May 2013 10:00:32 GMT",
"version": "v2"
},
{
"created": "Sun, 19 May 2013 09:49:09 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Oct 2013 16:48:48 GMT",
"version": "v4"
},
{
"created": "Wed, 26 Mar 2014 06:52:36 GMT",
"version": "v5"
}
] | 2014-03-27 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Sakatani",
"Yuho",
""
],
[
"Sugishita",
"Sotaro",
""
]
] | We derive the master equation that completely determines the time evolution of the density matrix of the Unruh-DeWitt detector in an arbitrary background geometry. We apply the equation to reveal a nonequilibrium thermodynamic character of de Sitter space. This generalizes an earlier study on the thermodynamic property of the Bunch-Davies vacuum that an Unruh-DeWitt detector staying in the Poincare patch and interacting with a scalar field in the Bunch-Davies vacuum behaves as if it is in a thermal bath of finite temperature. In this paper, instead of the Bunch-Davies vacuum, we consider a class of initial states of scalar field, for which the detector behaves as if it is in a medium that is not in thermodynamic equilibrium and that undergoes a relaxation to the equilibrium corresponding to the Bunch-Davies vacuum. We give a prescription for calculating the relaxation times of the nonequilibrium processes. We particularly show that, when the initial state of the scalar field is the instantaneous ground state at a finite past, the relaxation time is always given by a universal value of half the curvature radius of de Sitter space. We expect that the relaxation time gives a nonequilibrium thermodynamic quantity intrinsic to de Sitter space. |
1111.6339 | Andreas Gustavsson | Andreas Gustavsson | A preliminary test of Abelian D4-M5 duality | 7 pages | Phys.Lett. B706 (2011) 225-227 | 10.1016/j.physletb.2011.11.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the partition function of five-dimension Abelian sYM including a
graviphoton term on a five-torus. The result agrees with Abelian M5 brane
partition function with zero characteristics on an associated six-torus.
| [
{
"created": "Mon, 28 Nov 2011 04:26:15 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Gustavsson",
"Andreas",
""
]
] | We compute the partition function of five-dimension Abelian sYM including a graviphoton term on a five-torus. The result agrees with Abelian M5 brane partition function with zero characteristics on an associated six-torus. |
1404.2666 | Yu-Xiao Liu | Yuan Zhong, Yu-Xiao Liu, Zhen-Hua Zhao | Brane structure and metastable graviton in five-dimensional model with
(non)canonical scalar field | 24 pages, 10 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The appearance of inner brane structure is an interesting issue in domain
wall {brane model}. Because such structure usually leads to quasilocalized
modes of various kinds of bulk fields. In this paper, we construct a domain
wall brane model by using a scalar field $\phi$, which couples to its kinetic
term. The inner brane structure emerges as the scalar-kinetic coupling
increases. With such brane structure, we show that it is possible to obtain
gravity resonant modes in both tensor and scalar sectors. The number of the
resonant modes depends on the vacuum expectation value of $\phi$ and the form
of scalar-kinetic coupling. The correspondence between our model and the
canonical one is also discussed. The noncanonical and canonical background
scalar fields are connected by an integral equation, while the warp factor
remains the same. Via this correspondence, the canonical and noncanonical
models share the same linear perturbation spectrum. So the gravity resonances
{obtained} in the noncanonical frame can also be obtained in the standard
model. However, due to the inequivalence between the corresponding background
scalar solutions, the localization condition for the left-chiral fermion zero
mode can be largely different in different frames. Our estimate shows that the
magnitude of the Yukawa coupling in the noncanonical frame might be hundreds
times larger than the one in the canonical frame, if one demands the
localization of the left-chiral fermion zero mode as well as the appearance of
a few gravity resonance modes.
| [
{
"created": "Thu, 10 Apr 2014 01:44:02 GMT",
"version": "v1"
}
] | 2014-04-11 | [
[
"Zhong",
"Yuan",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhao",
"Zhen-Hua",
""
]
] | The appearance of inner brane structure is an interesting issue in domain wall {brane model}. Because such structure usually leads to quasilocalized modes of various kinds of bulk fields. In this paper, we construct a domain wall brane model by using a scalar field $\phi$, which couples to its kinetic term. The inner brane structure emerges as the scalar-kinetic coupling increases. With such brane structure, we show that it is possible to obtain gravity resonant modes in both tensor and scalar sectors. The number of the resonant modes depends on the vacuum expectation value of $\phi$ and the form of scalar-kinetic coupling. The correspondence between our model and the canonical one is also discussed. The noncanonical and canonical background scalar fields are connected by an integral equation, while the warp factor remains the same. Via this correspondence, the canonical and noncanonical models share the same linear perturbation spectrum. So the gravity resonances {obtained} in the noncanonical frame can also be obtained in the standard model. However, due to the inequivalence between the corresponding background scalar solutions, the localization condition for the left-chiral fermion zero mode can be largely different in different frames. Our estimate shows that the magnitude of the Yukawa coupling in the noncanonical frame might be hundreds times larger than the one in the canonical frame, if one demands the localization of the left-chiral fermion zero mode as well as the appearance of a few gravity resonance modes. |
1309.4247 | Rodolfo Casana | R. Casana, M.M. Ferreira Jr., E. Da Hora, A.B.F. Neves | BPS Maxwell-Chern-Simons-like vortices in a Lorentz-violating framework | Presented at the Sixth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, June 17-21, 2013 | null | 10.1142/9789814566438_0071 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have analyzed Maxwell-Chern-Simons-Higgs BPS vortices in a
Lorentz-violating CPT-odd context. The Lorentz violation induces profiles with
a conical behavior at the origin. For some combination of the coefficients for
Lorentz violation there always exists a sufficiently large winding number for
which the magnetic field flips its sign.
| [
{
"created": "Tue, 17 Sep 2013 10:13:59 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Casana",
"R.",
""
],
[
"Ferreira",
"M. M.",
"Jr."
],
[
"Da Hora",
"E.",
""
],
[
"Neves",
"A. B. F.",
""
]
] | We have analyzed Maxwell-Chern-Simons-Higgs BPS vortices in a Lorentz-violating CPT-odd context. The Lorentz violation induces profiles with a conical behavior at the origin. For some combination of the coefficients for Lorentz violation there always exists a sufficiently large winding number for which the magnetic field flips its sign. |
2402.04120 | Jiang Long | Wen-Bin Liu, Jiang Long and Xiao-Quan Ye | Feynman rules and loop structure of Carrollian amplitudes | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we derive the Carrollian amplitude in the framework of bulk
reduction. The Carrollian amplitude is shown to relate to the scattering
amplitude by a Fourier transform in this method. We propose Feynman rules to
calculate the Carrollian amplitude where the Fourier transforms emerge as the
integral representation of the external lines in the Carrollian space. Then we
study the four-point Carrollian amplitude at loop level in massless $\Phi^4$
theory. As a consequence of Poincar\'e invariance, the four-point Carrollian
amplitude can be transformed to the amplitude that only depends on the cross
ratio $z$ of the celestial sphere and a variable $\chi$ invariant under
translation. The four-point Carrollian amplitude is a polynomial of the
two-point Carrollian amplitude whose argument is replaced with $\chi$. The
coefficients of the polynomial have branch cuts in the complex $z$ plane. We
also show that the renormalized Carrollian amplitude obeys the Callan-Symanzik
equation. Moreover, we initiate a generalized $\Phi^4$ theory by designing the
Feynman rules for more general Carrollian amplitude.
| [
{
"created": "Tue, 6 Feb 2024 16:12:44 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2024 13:50:51 GMT",
"version": "v2"
}
] | 2024-07-31 | [
[
"Liu",
"Wen-Bin",
""
],
[
"Long",
"Jiang",
""
],
[
"Ye",
"Xiao-Quan",
""
]
] | In this paper, we derive the Carrollian amplitude in the framework of bulk reduction. The Carrollian amplitude is shown to relate to the scattering amplitude by a Fourier transform in this method. We propose Feynman rules to calculate the Carrollian amplitude where the Fourier transforms emerge as the integral representation of the external lines in the Carrollian space. Then we study the four-point Carrollian amplitude at loop level in massless $\Phi^4$ theory. As a consequence of Poincar\'e invariance, the four-point Carrollian amplitude can be transformed to the amplitude that only depends on the cross ratio $z$ of the celestial sphere and a variable $\chi$ invariant under translation. The four-point Carrollian amplitude is a polynomial of the two-point Carrollian amplitude whose argument is replaced with $\chi$. The coefficients of the polynomial have branch cuts in the complex $z$ plane. We also show that the renormalized Carrollian amplitude obeys the Callan-Symanzik equation. Moreover, we initiate a generalized $\Phi^4$ theory by designing the Feynman rules for more general Carrollian amplitude. |
1901.01806 | Arpad Hegedus | A. Hegedus | On the finite volume expectation values of local operators in the
sine-Gordon model | 54 pages | null | 10.1016/j.nuclphysb.2019.114749 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present sets of linear integral equations which make
possible to compute the finite volume expectation values of the trace of the
stress energy tensor ($\Theta$) and the $U(1)$ current ($J_\mu$) in any
eigenstate of the Hamiltonian of the sine-Gordon model. The solution of these
equations in the large volume limit allows one to get exact analytical formulas
for the expectation values in the Bethe-Yang limit. These analytical formulas
are used to test an earlier conjecture for the Bethe-Yang limit of expectation
values in non-diagonally scattering theories. The analytical tests have been
carried out upto three particle states and gave agreement with the conjectured
formula, provided the definition of polarized symmetric diagonal form-factors
is modified appropriately. Nevertheless, we point out that our results provide
only a partial confirmation of the conjecture and further investigations are
necessary to fully determine its validity. The most important missing piece in
the confirmation is the mathematical proof of the finiteness of the symmetric
diagonal limit of form-factors in a non-diagonally scattering theory.
| [
{
"created": "Mon, 7 Jan 2019 13:58:04 GMT",
"version": "v1"
}
] | 2019-10-23 | [
[
"Hegedus",
"A.",
""
]
] | In this paper we present sets of linear integral equations which make possible to compute the finite volume expectation values of the trace of the stress energy tensor ($\Theta$) and the $U(1)$ current ($J_\mu$) in any eigenstate of the Hamiltonian of the sine-Gordon model. The solution of these equations in the large volume limit allows one to get exact analytical formulas for the expectation values in the Bethe-Yang limit. These analytical formulas are used to test an earlier conjecture for the Bethe-Yang limit of expectation values in non-diagonally scattering theories. The analytical tests have been carried out upto three particle states and gave agreement with the conjectured formula, provided the definition of polarized symmetric diagonal form-factors is modified appropriately. Nevertheless, we point out that our results provide only a partial confirmation of the conjecture and further investigations are necessary to fully determine its validity. The most important missing piece in the confirmation is the mathematical proof of the finiteness of the symmetric diagonal limit of form-factors in a non-diagonally scattering theory. |
hep-th/0610045 | Enrico Onofri | R. De Pietri, S. Mori and E. Onofri | The planar spectrum in U(N)-invariant quantum mechanics by Fock space
methods: I. The bosonic case | 17 pages, 4 figures, uses youngtab.sty. Final version | JHEP 0701:018,2007 | 10.1088/1126-6708/2007/01/018 | UPRFT-06-11 | hep-th | null | Prompted by recent results on Susy-U(N)-invariant quantum mechanics in the
large N limit by Veneziano and Wosiek, we have examined the planar spectrum in
the full Hilbert space of U(N)-invariant states built on the Fock vacuum by
applying any U(N)-invariant combinations of creation-operators. We present
results about 1) the supersymmetric model in the bosonic sector, 2) the
standard quartic Hamiltonian. This latter is useful to check our techniques
against the exact result of Brezin et al. The SuSy case is where Fock space
methods prove to be the most efficient: it turns out that the problem is
separable and the exact planar spectrum can be expressed in terms of the
single-trace spectrum. In the case of the anharmonic oscillator, on the other
hand, the Fock space analysis is quite cumbersome due to the presence of large
off-diagonal O(N) terms coupling subspaces with different number of traces;
these terms should be absorbed before taking the planar limit and recovering
the known planar spectrum. We give analytical and numerical evidence that good
qualitative information on the spectrum can be obtained this way.
| [
{
"created": "Wed, 4 Oct 2006 13:40:17 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2006 08:01:05 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Dec 2006 11:23:08 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"De Pietri",
"R.",
""
],
[
"Mori",
"S.",
""
],
[
"Onofri",
"E.",
""
]
] | Prompted by recent results on Susy-U(N)-invariant quantum mechanics in the large N limit by Veneziano and Wosiek, we have examined the planar spectrum in the full Hilbert space of U(N)-invariant states built on the Fock vacuum by applying any U(N)-invariant combinations of creation-operators. We present results about 1) the supersymmetric model in the bosonic sector, 2) the standard quartic Hamiltonian. This latter is useful to check our techniques against the exact result of Brezin et al. The SuSy case is where Fock space methods prove to be the most efficient: it turns out that the problem is separable and the exact planar spectrum can be expressed in terms of the single-trace spectrum. In the case of the anharmonic oscillator, on the other hand, the Fock space analysis is quite cumbersome due to the presence of large off-diagonal O(N) terms coupling subspaces with different number of traces; these terms should be absorbed before taking the planar limit and recovering the known planar spectrum. We give analytical and numerical evidence that good qualitative information on the spectrum can be obtained this way. |
2105.13982 | David Horvath | David X. Horvath, Pasquale Calabrese and Olalla A. Castro-Alvaredo | Branch Point Twist Field Form Factors in the sine-Gordon Model II:
Composite Twist Fields and Symmetry Resolved Entanglement | null | SciPost Phys. 12, 088 (2022) | 10.21468/SciPostPhys.12.3.088 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue the programme initiated in Part I, that is the
study of entanglement measures in the sine-Gordon model. In both parts, we have
focussed on one specific technique, that is the well-known connection between
branch point twist field correlators and measures of entanglement in 1+1D
integrable quantum field theory. Our papers apply this technique for the first
time to a non-diagonal theory with an involved particle spectrum, the
sine-Gordon model. In this Part II we focus on a different entanglement
measure, the symmetry resolved entanglement, and develop its associated twist
field description, exploiting the underlying U(1) symmetry of the theory. In
this context, conventional branch point twist fields are no longer the fields
required, but instead we must work with one of their composite generalisations,
which can be understood as the field resulting from the fusion of a standard
branch point twist field and the sine-Gordon exponential field associated with
U(1) symmetry. The resulting composite twist field has correlators which as
usual admit a form factor expansion. In this paper we write the associated form
factor equations and solve them for various examples in the breather sector by
using the method of angular quantisation. We show that, in the attractive
regime, this is the sector which provides the leading contribution to the
symmetry resolved entropies, both Renyi and von Neumann. We compute the latter
in the limit of a large region size and show that they satisfy the property of
equipartition, that is the leading contribution to the symmetry resolved
entanglement is independent of the symmetry sector.
| [
{
"created": "Fri, 28 May 2021 17:07:52 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 14:06:05 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Nov 2021 15:05:58 GMT",
"version": "v3"
}
] | 2022-03-24 | [
[
"Horvath",
"David X.",
""
],
[
"Calabrese",
"Pasquale",
""
],
[
"Castro-Alvaredo",
"Olalla A.",
""
]
] | In this paper we continue the programme initiated in Part I, that is the study of entanglement measures in the sine-Gordon model. In both parts, we have focussed on one specific technique, that is the well-known connection between branch point twist field correlators and measures of entanglement in 1+1D integrable quantum field theory. Our papers apply this technique for the first time to a non-diagonal theory with an involved particle spectrum, the sine-Gordon model. In this Part II we focus on a different entanglement measure, the symmetry resolved entanglement, and develop its associated twist field description, exploiting the underlying U(1) symmetry of the theory. In this context, conventional branch point twist fields are no longer the fields required, but instead we must work with one of their composite generalisations, which can be understood as the field resulting from the fusion of a standard branch point twist field and the sine-Gordon exponential field associated with U(1) symmetry. The resulting composite twist field has correlators which as usual admit a form factor expansion. In this paper we write the associated form factor equations and solve them for various examples in the breather sector by using the method of angular quantisation. We show that, in the attractive regime, this is the sector which provides the leading contribution to the symmetry resolved entropies, both Renyi and von Neumann. We compute the latter in the limit of a large region size and show that they satisfy the property of equipartition, that is the leading contribution to the symmetry resolved entanglement is independent of the symmetry sector. |
2008.09046 | Herondy Mota | K. Bakke, H. Mota | Aharonov-Bohm effect for bound states in the cosmic string spacetime in
the context of rainbow gravity | 18 pages, 2 figures | null | 10.1007/s10714-020-02750-7 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a scenario of the general relativity determined by the framework
of the rainbow gravity with the purpose of searching for analogues of the
Aharonov-Bohm effect. By focusing on the confinement of the Dirac field and the
scalar field to a hard-wall confining potential in a modified background of the
cosmic string spacetime, we examine the effects of the rainbow gravity and the
topology of the cosmic string spacetime. Then, we compare each spectrum of
energy with the cases where the rainbow gravity is absent.
| [
{
"created": "Mon, 10 Aug 2020 19:26:26 GMT",
"version": "v1"
}
] | 2020-10-14 | [
[
"Bakke",
"K.",
""
],
[
"Mota",
"H.",
""
]
] | We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov-Bohm effect. By focusing on the confinement of the Dirac field and the scalar field to a hard-wall confining potential in a modified background of the cosmic string spacetime, we examine the effects of the rainbow gravity and the topology of the cosmic string spacetime. Then, we compare each spectrum of energy with the cases where the rainbow gravity is absent. |
hep-th/0206116 | Alexandros Kehagias | M. Axenides, E. G. Floratos, L. Perivolaropoulos | Rotating Toroidal Branes in Supermembrane and Matrix Theory | 7 pages, revtex | Phys.Rev.D66:085006,2002 | 10.1103/PhysRevD.66.085006 | null | hep-th | null | In the lightcone frame, where the supermembrane theory and the Matrix model
are strikingly similar, the equations of motion admit an elegant
complexification in even dimensional spaces. Although the explicit rotational
symmetry of the target space is lost, the remaining unitary symmetries apart
from providing a simple and unifying description of all known solutions suggest
new ones for rotating spherical and toroidal membranes. In this framework the
angular momentum is represented by U(1) charges which balance the nonlinear
attractive forces of the membrane. We examine in detail a six dimensional
rotating toroidal membrane solution which lives in a 3-torus, $T^3$ and admits
stable radial modes. In Matrix Theory it corresponds to a toroidal N-$D_{0}$
brane bound state. We demonstrate its existence and discuss its radial
stability.
| [
{
"created": "Thu, 13 Jun 2002 15:35:54 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Axenides",
"M.",
""
],
[
"Floratos",
"E. G.",
""
],
[
"Perivolaropoulos",
"L.",
""
]
] | In the lightcone frame, where the supermembrane theory and the Matrix model are strikingly similar, the equations of motion admit an elegant complexification in even dimensional spaces. Although the explicit rotational symmetry of the target space is lost, the remaining unitary symmetries apart from providing a simple and unifying description of all known solutions suggest new ones for rotating spherical and toroidal membranes. In this framework the angular momentum is represented by U(1) charges which balance the nonlinear attractive forces of the membrane. We examine in detail a six dimensional rotating toroidal membrane solution which lives in a 3-torus, $T^3$ and admits stable radial modes. In Matrix Theory it corresponds to a toroidal N-$D_{0}$ brane bound state. We demonstrate its existence and discuss its radial stability. |
hep-th/0109175 | Witold Skiba | Ira Rothstein (Carnegie Mellon U.), Witold Skiba (MIT) | Mother Moose: Generating Extra Dimensions from Simple Groups at Large N | 12 pages, references added | Phys.Rev. D65 (2002) 065002 | 10.1103/PhysRevD.65.065002 | CMU-01-08, MIT-CTP-3180 | hep-th | null | We show that there exists a correspondence between four dimensional gauge
theories with simple groups and higher dimensional gauge theories at large N.
As an example, we show that a four dimensional {N}=2 supersymmetric SU(N) gauge
theory, on the Higgs branch, has the same correlators as a five dimensional
SU(N) gauge theory in the limit of large N provided the couplings are
appropriately rescaled. We show that our results can be applied to the AdS/CFT
correspondence to derive correlators of five or more dimensional gauge theories
from solutions of five dimensional supergravity in the large t'Hooft coupling
limit.
| [
{
"created": "Fri, 21 Sep 2001 19:55:36 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Sep 2001 13:39:00 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Oct 2001 23:56:26 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Rothstein",
"Ira",
"",
"Carnegie Mellon U."
],
[
"Skiba",
"Witold",
"",
"MIT"
]
] | We show that there exists a correspondence between four dimensional gauge theories with simple groups and higher dimensional gauge theories at large N. As an example, we show that a four dimensional {N}=2 supersymmetric SU(N) gauge theory, on the Higgs branch, has the same correlators as a five dimensional SU(N) gauge theory in the limit of large N provided the couplings are appropriately rescaled. We show that our results can be applied to the AdS/CFT correspondence to derive correlators of five or more dimensional gauge theories from solutions of five dimensional supergravity in the large t'Hooft coupling limit. |
hep-th/0203109 | Nikita Nekrasov | Nikita A. Nekrasov | Lectures on open strings, and noncommutative gauge fields | harvmac, 12 pp | null | null | IHES-P/02/14, ITEP-TH-13/02 | hep-th | null | The background independent formulation of the gauge theories on D-branes in
flat space-time is considered, some examples of the solutions of their
equations of motion are presented, the solutions of Dirac equation in these
backgrounds are analyzed, and the generalizations to the curved spaces, like
orbifolds, conifolds, and K3 surfaces, are discussed.
| [
{
"created": "Tue, 12 Mar 2002 17:30:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nekrasov",
"Nikita A.",
""
]
] | The background independent formulation of the gauge theories on D-branes in flat space-time is considered, some examples of the solutions of their equations of motion are presented, the solutions of Dirac equation in these backgrounds are analyzed, and the generalizations to the curved spaces, like orbifolds, conifolds, and K3 surfaces, are discussed. |
hep-th/9811038 | Takao Koikawa | Takao Koikawa | Discrete and Continuous Bogomolny Equations through the Deformed Algebra | 12 pages | Phys.Lett. A256 (1999) 284-290 | 10.1016/S0375-9601(99)00259-5 | null | hep-th | null | We connect the discrete and continuous Bogomolny equations. There exists
one-parameter algebra relating two equations which is the deformation of the
extended conformal algebra. This shows that the deformed algebra plays the role
of the link between the matrix valued model and the model with one more space
dimension higher.
| [
{
"created": "Wed, 4 Nov 1998 08:19:51 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Koikawa",
"Takao",
""
]
] | We connect the discrete and continuous Bogomolny equations. There exists one-parameter algebra relating two equations which is the deformation of the extended conformal algebra. This shows that the deformed algebra plays the role of the link between the matrix valued model and the model with one more space dimension higher. |
1308.2177 | Richard Szabo | A. A. Bytsenko, M. Chaichian, R. J. Szabo, A. Tureanu | Quantum Black Holes, Elliptic Genera and Spectral Partition Functions | 42 pages | null | null | EMPG-13-13 | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study M-theory and D-brane quantum partition functions for microscopic
black hole ensembles within the context of the AdS/CFT correspondence in terms
of highest weight representations of infinite-dimensional Lie algebras,
elliptic genera, and Hilbert schemes, and describe their relations to elliptic
modular forms. The common feature in our examples lie in the modular properties
of the characters of certain representations of the pertinent affine Lie
algebras, and in the role of spectral functions of hyperbolic three-geometry
associated with q-series in the calculation of elliptic genera. We present new
calculations of supergravity elliptic genera on local Calabi-Yau threefolds in
terms of BPS invariants and spectral functions, and also of equivariant D-brane
elliptic genera on generic toric singularities. We use these examples to
conjecture a link between the black hole partition functions and elliptic
cohomology.
| [
{
"created": "Fri, 9 Aug 2013 16:50:00 GMT",
"version": "v1"
}
] | 2013-08-12 | [
[
"Bytsenko",
"A. A.",
""
],
[
"Chaichian",
"M.",
""
],
[
"Szabo",
"R. J.",
""
],
[
"Tureanu",
"A.",
""
]
] | We study M-theory and D-brane quantum partition functions for microscopic black hole ensembles within the context of the AdS/CFT correspondence in terms of highest weight representations of infinite-dimensional Lie algebras, elliptic genera, and Hilbert schemes, and describe their relations to elliptic modular forms. The common feature in our examples lie in the modular properties of the characters of certain representations of the pertinent affine Lie algebras, and in the role of spectral functions of hyperbolic three-geometry associated with q-series in the calculation of elliptic genera. We present new calculations of supergravity elliptic genera on local Calabi-Yau threefolds in terms of BPS invariants and spectral functions, and also of equivariant D-brane elliptic genera on generic toric singularities. We use these examples to conjecture a link between the black hole partition functions and elliptic cohomology. |
0902.0948 | Edward Witten | Edward Witten | Branes, Instantons, And Taub-NUT Spaces | 63 pp | JHEP 0906:067,2009 | 10.1088/1126-6708/2009/06/067 | CERN-TH-PH/2009-019 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | ALE and Taub-NUT (or ALF) hyper-Kahler four-manifolds can be naturally
constructed as hyper-Kahler quotients. In the ALE case, this construction has
long been understood in terms of D-branes; here we give a D-brane derivation in
the Taub-NUT case. Likewise, instantons on ALE spaces and on Taub-NUT spaces
have ADHM-like constructions related to hyper-Kahler quotients. Here we refine
the analysis in the Taub-NUT case by making use of a D-brane probe, and give an
application to M-theory.
| [
{
"created": "Thu, 5 Feb 2009 17:36:59 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jun 2009 18:48:25 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Witten",
"Edward",
""
]
] | ALE and Taub-NUT (or ALF) hyper-Kahler four-manifolds can be naturally constructed as hyper-Kahler quotients. In the ALE case, this construction has long been understood in terms of D-branes; here we give a D-brane derivation in the Taub-NUT case. Likewise, instantons on ALE spaces and on Taub-NUT spaces have ADHM-like constructions related to hyper-Kahler quotients. Here we refine the analysis in the Taub-NUT case by making use of a D-brane probe, and give an application to M-theory. |
1004.2015 | Mikhail Voloshin | A. Monin and M.B. Voloshin | Semiclassical calculation of an induced decay of false vacuum | 13 pages, 3 figures | null | null | FTPI-MINN-10/10, UMN-TH-2901/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a model where a scalar field develops a metastable vacuum state
and weakly interacts with another scalar field. In this situation we find the
probability of decay of the false vacuum stimulated by the presence and
collisions of particles of the second field. The discussed calculation is an
illustration of the recently suggested thermal approach to treatment of induced
semiclassical processes.
| [
{
"created": "Mon, 12 Apr 2010 17:56:51 GMT",
"version": "v1"
}
] | 2010-04-13 | [
[
"Monin",
"A.",
""
],
[
"Voloshin",
"M. B.",
""
]
] | We consider a model where a scalar field develops a metastable vacuum state and weakly interacts with another scalar field. In this situation we find the probability of decay of the false vacuum stimulated by the presence and collisions of particles of the second field. The discussed calculation is an illustration of the recently suggested thermal approach to treatment of induced semiclassical processes. |
1310.2013 | Dr. Sudhaker Upadhyay | Sudhaker Upadhyay | Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi
decomposition | 9 pages, Revtex, To appear in Phys. Lett. B | Phys. Lett. B 727 (2013) 293 | 10.1016/j.physletb.2013.10.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we consider SU(2) Yang-Mills theory analysed in
Cho-Faddeev-Niemi variables which remains invariant under local gauge
transformations. The BRST symmetries of this theory is generalized by making
the infinitesimal parameter finite and field-dependent. Further, we show that
under appropriate choices of finite and field-dependent parameter, the
gauge-fixing and ghost terms corresponding to Landau as well as maximal Abelian
gauge for such Cho-Faddeev-Niemi decomposed theory appear naturally within
functional integral through Jacobian calculation.
| [
{
"created": "Tue, 8 Oct 2013 06:41:18 GMT",
"version": "v1"
}
] | 2013-11-25 | [
[
"Upadhyay",
"Sudhaker",
""
]
] | In this Letter we consider SU(2) Yang-Mills theory analysed in Cho-Faddeev-Niemi variables which remains invariant under local gauge transformations. The BRST symmetries of this theory is generalized by making the infinitesimal parameter finite and field-dependent. Further, we show that under appropriate choices of finite and field-dependent parameter, the gauge-fixing and ghost terms corresponding to Landau as well as maximal Abelian gauge for such Cho-Faddeev-Niemi decomposed theory appear naturally within functional integral through Jacobian calculation. |
hep-th/9611206 | Waldemar Puszkarz | Pawel O. Mazur | Reply to Comment on ``Spinning Cosmic Strings and Quantization of
Energy'' | 3 pages, Latex2e, published in Phys. Rev. Lett. 59, 2380(C) (1987), a
note added on November 24, 1996 | Phys. Rev. Lett. 59:2380,1987 | 10.1103/PhysRevLett.59.2380 | null | hep-th gr-qc | null | Quantum mechanics of a test particle interacting with a spinning string
(torsion vortex) is the quantum mechanics of the celebrated Aharonov-Bohm
effect. The angular momentum per unit length $J$ characterizing the spinning
string corresponds to the magnetic flux $\Phi$ of the Aharonov-Bom fluxon and
the gravitational mass-energy $E$ of an incoming particle corresponds to the
electric charge $q$. The characteristic periodicity of the gravitational
Aharonov-Bohm scattering cross-section in the product of $GEJ$ has suggested a
new quantization of mass-energy relation. We encounter a new physical situation
where the gravitational mass-energy is quantized and the quantization condition
contains both the Newton constant $G$ and the Planck constant $h$.
| [
{
"created": "Mon, 25 Nov 1996 03:31:22 GMT",
"version": "v1"
}
] | 2010-12-20 | [
[
"Mazur",
"Pawel O.",
""
]
] | Quantum mechanics of a test particle interacting with a spinning string (torsion vortex) is the quantum mechanics of the celebrated Aharonov-Bohm effect. The angular momentum per unit length $J$ characterizing the spinning string corresponds to the magnetic flux $\Phi$ of the Aharonov-Bom fluxon and the gravitational mass-energy $E$ of an incoming particle corresponds to the electric charge $q$. The characteristic periodicity of the gravitational Aharonov-Bohm scattering cross-section in the product of $GEJ$ has suggested a new quantization of mass-energy relation. We encounter a new physical situation where the gravitational mass-energy is quantized and the quantization condition contains both the Newton constant $G$ and the Planck constant $h$. |
0808.2485 | Mithat Unsal | M. Shifman, Mithat Unsal | On Yang-Mills Theories with Chiral Matter at Strong Coupling | 45 pages, 4 figures | Phys.Rev.D79:105010,2009 | 10.1103/PhysRevD.79.105010 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Strong coupling dynamics of Yang--Mills theories with chiral fermion content
remained largely elusive despite much effort over the years. In this work, we
propose a dynamical framework in which we can address non-perturbative
properties of chiral, non-supersymmetric gauge theories, in particular, chiral
quiver theories on $S_1 \times R_3 $. Double-trace deformations are used to
stabilize the center-symmetric vacuum. This allows one to smoothly connect
small-$r(S_1)$ to large-$r(S_1)$ physics ($R_4$ is the limiting case) where the
double-trace deformations are switched off. In particular, occurrence of the
mass gap in the gauge sector and linear confinement due to bions are
analytically demonstrated. We find the pattern of the chiral symmetry
realization which depends on the structure of the ring operators, a novel class
of topological excitations. The deformed chiral theory, unlike the undeformed
one, satisfies volume independence down to arbitrarily small volumes (a working
Eguchi--Kawai reduction) in the large $N$ limit. This equivalence, may open new
perspectives on strong coupling chiral gauge theories on $R_4$.
| [
{
"created": "Mon, 18 Aug 2008 20:47:16 GMT",
"version": "v1"
}
] | 2009-07-30 | [
[
"Shifman",
"M.",
""
],
[
"Unsal",
"Mithat",
""
]
] | Strong coupling dynamics of Yang--Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address non-perturbative properties of chiral, non-supersymmetric gauge theories, in particular, chiral quiver theories on $S_1 \times R_3 $. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect small-$r(S_1)$ to large-$r(S_1)$ physics ($R_4$ is the limiting case) where the double-trace deformations are switched off. In particular, occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi--Kawai reduction) in the large $N$ limit. This equivalence, may open new perspectives on strong coupling chiral gauge theories on $R_4$. |
1312.0428 | Hugh Osborn | I. Jack, H. Osborn | Constraints on RG Flow for Four Dimensional Quantum Field Theories | 86 pages, version 2, various corrections, section 3 significantly
revised, version 3 further minor corrections, as to be published, version 4,
some corrections and additional material in sections 2,9 | Nuclear Physics, 883, 425-500 (2014) | 10.1016/j.nuclphysb.2014.03.018 | DAMTP/13-53 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The response of four dimensional quantum field theories to a Weyl rescaling
of the metric in the presence of local couplings and which involve $a$, the
coefficient of the Euler density in the energy momentum tensor trace on curved
space, is reconsidered. Previous consistency conditions for the anomalous
terms, which implicitly define a metric $G$ on the space of couplings and give
rise to gradient flow like equations for $a$, are derived taking into account
the role of lower dimension operators. The results for infinitesimal Weyl
rescaling are integrated to finite rescalings $e^{2\sigma}$ to a form which
involves running couplings $g_\sigma$ and which interpolates between IR and UV
fixed points. The results are also restricted to flat space where they give
rise to broken conformal Ward identities. Expressions for the three loop Yukawa
$\beta$-functions for a general scalar/fermion theory are obtained and the
three loop contribution to the metric $G$ for this theory are also calculated.
These results are used to check the gradient flow equations to higher order
than previously. It is shown that these are only valid when $\beta \to B$, a
modified $\beta$-function, and that the equations provide strong constraints on
the detailed form of the three loop Yukawa $\beta$-function. ${\cal N}=1$
supersymmetric Wess-Zumino theories are also considered as a special case. It
is shown that the metric for the complex couplings in such theories may be
restricted to a hermitian form.
| [
{
"created": "Mon, 2 Dec 2013 11:43:33 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2014 18:58:22 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Apr 2014 02:33:14 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Feb 2015 12:32:56 GMT",
"version": "v4"
}
] | 2015-02-10 | [
[
"Jack",
"I.",
""
],
[
"Osborn",
"H.",
""
]
] | The response of four dimensional quantum field theories to a Weyl rescaling of the metric in the presence of local couplings and which involve $a$, the coefficient of the Euler density in the energy momentum tensor trace on curved space, is reconsidered. Previous consistency conditions for the anomalous terms, which implicitly define a metric $G$ on the space of couplings and give rise to gradient flow like equations for $a$, are derived taking into account the role of lower dimension operators. The results for infinitesimal Weyl rescaling are integrated to finite rescalings $e^{2\sigma}$ to a form which involves running couplings $g_\sigma$ and which interpolates between IR and UV fixed points. The results are also restricted to flat space where they give rise to broken conformal Ward identities. Expressions for the three loop Yukawa $\beta$-functions for a general scalar/fermion theory are obtained and the three loop contribution to the metric $G$ for this theory are also calculated. These results are used to check the gradient flow equations to higher order than previously. It is shown that these are only valid when $\beta \to B$, a modified $\beta$-function, and that the equations provide strong constraints on the detailed form of the three loop Yukawa $\beta$-function. ${\cal N}=1$ supersymmetric Wess-Zumino theories are also considered as a special case. It is shown that the metric for the complex couplings in such theories may be restricted to a hermitian form. |
1502.05607 | Stefan Lippoldt | Stefan Lippoldt | Spin-base invariance of Fermions in arbitrary dimensions | 26 pages | Phys. Rev. D 91, 104006 (2015) | 10.1103/PhysRevD.91.104006 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of spin-base invariance is extended to arbitrary integer
dimension $d \geq 2$. Explicit formulas for the spin connection as a function
of the Dirac matrices are found. We disclose the hidden spin-base invariance of
the vielbein formalism and give a detailed motivation for this symmetry from
first principles. The common Lorentz symmetric gauge for the vielbein is
constructed for the Dirac matrices, even for metrics which are not linearly
connected. Under certain criteria, it constitutes the simplest possible gauge,
demonstrating why this gauge is so useful.
| [
{
"created": "Thu, 19 Feb 2015 15:59:29 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Lippoldt",
"Stefan",
""
]
] | The concept of spin-base invariance is extended to arbitrary integer dimension $d \geq 2$. Explicit formulas for the spin connection as a function of the Dirac matrices are found. We disclose the hidden spin-base invariance of the vielbein formalism and give a detailed motivation for this symmetry from first principles. The common Lorentz symmetric gauge for the vielbein is constructed for the Dirac matrices, even for metrics which are not linearly connected. Under certain criteria, it constitutes the simplest possible gauge, demonstrating why this gauge is so useful. |
2004.11523 | E. Harikumar | E. Harikumar, Leela Ganesh Chandra Lakkaraju and Vishnu Rajagopal | Emergence of maximal acceleration from non-commutativity of space-time | 14 pages, no figure, Re-wrote Section-4, adding new results. More
discussions, two appendices and more references added | null | 10.1142/S0217732321500693 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we show that the causally connected $4$-dimensional line
element of the $\kappa$-deformed Minkowski space-time induces an upper cut-off
on the proper acceleration and derive this maximal acceleration, valid up to
first order in the deformation parameter. We find a contribution to maximal
acceleration which is independent of $\hbar$ and thus signals effect of the
non-commutativity alone. We also construct the $\kappa$-deformed geodesic
equation and obtain its $\kappa$-deformed Newtonian limit, valid up to first
order in deformation parameter. Using this, we constrain non-commutative
parameters present in the expression for maximal acceleration. We analyse
different limits of the maximal acceleration and also discuss its implication
to maximal temperature. We also obtain a bound on the deformation parameter.
| [
{
"created": "Fri, 24 Apr 2020 03:56:36 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 04:50:14 GMT",
"version": "v2"
}
] | 2021-04-07 | [
[
"Harikumar",
"E.",
""
],
[
"Lakkaraju",
"Leela Ganesh Chandra",
""
],
[
"Rajagopal",
"Vishnu",
""
]
] | In this paper, we show that the causally connected $4$-dimensional line element of the $\kappa$-deformed Minkowski space-time induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order in the deformation parameter. We find a contribution to maximal acceleration which is independent of $\hbar$ and thus signals effect of the non-commutativity alone. We also construct the $\kappa$-deformed geodesic equation and obtain its $\kappa$-deformed Newtonian limit, valid up to first order in deformation parameter. Using this, we constrain non-commutative parameters present in the expression for maximal acceleration. We analyse different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter. |
2003.03536 | Mikhail Alfimov Mr | Mikhail Alfimov, Nikolay Gromov and Vladimir Kazakov | N=4 SYM Quantum Spectral Curve in BFKL regime | Contribution to the memorial volume "From the past to the future -
the legacy of Lev Lipatov", 28 pages, 7 figures; v2: references added, typos
fixed | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the applications of the Quantum Spectral Curve (QSC) method to the
Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on
quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed
as a tool for the study of the spectrum of anomalous dimensions of local
operators in the N=4 SYM in the planar, $N_c\to\infty$ limit. We explain how to
apply the QSC for the BFKL limit, which requires non-trivial analytic
continuation in spin $S$ and extends the initial construction to non-local
light-ray operators. We give a brief review of high precision non-perturbative
numerical solutions and analytic perturbative data resulting from this
approach. We also describe as a simple example of the QSC construction the
leading order in the BFKL limit. We show that the QSC substantially simplifies
in this limit and reduces to the Faddeev-Korchemsky Baxter equation for
Q-functions. Finally, we review recent results for the Fishnet CFT, which
carries a number of similarities with the Lipatov's integrable spin chain for
interacting reggeized gluons.
| [
{
"created": "Sat, 7 Mar 2020 08:19:02 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2020 14:57:43 GMT",
"version": "v2"
}
] | 2020-03-20 | [
[
"Alfimov",
"Mikhail",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Kazakov",
"Vladimir",
""
]
] | We review the applications of the Quantum Spectral Curve (QSC) method to the Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed as a tool for the study of the spectrum of anomalous dimensions of local operators in the N=4 SYM in the planar, $N_c\to\infty$ limit. We explain how to apply the QSC for the BFKL limit, which requires non-trivial analytic continuation in spin $S$ and extends the initial construction to non-local light-ray operators. We give a brief review of high precision non-perturbative numerical solutions and analytic perturbative data resulting from this approach. We also describe as a simple example of the QSC construction the leading order in the BFKL limit. We show that the QSC substantially simplifies in this limit and reduces to the Faddeev-Korchemsky Baxter equation for Q-functions. Finally, we review recent results for the Fishnet CFT, which carries a number of similarities with the Lipatov's integrable spin chain for interacting reggeized gluons. |
0903.2194 | Tadashi Takayanagi | Yasuaki Hikida, Wei Li and Tadashi Takayanagi | ABJM with Flavors and FQHE | 23 pages, Latex, no figures; (v2) references added, typos corrected | JHEP 0907:065,2009 | 10.1088/1126-6708/2009/07/065 | KEK-TH-1307, IPMU09-0032 | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We add fundamental matters to the N=6 Chern-Simons theory (ABJM theory), and
show that D6-branes wrapped over AdS_4 x S^3/Z_2 in type IIA superstring theory
on AdS_4 x CP^3 give its dual description with N=3 supersymmetry. We confirm
this by the arguments based on R-symmetry, supersymmetry, and brane
configuration of ABJM theory. We also analyze the fluctuations of the D6-brane
and compute the conformal dimensions of dual operators. In the presence of
fractional branes, the ABJM theory can model the fractional quantum Hall effect
(FQHE), with RR-fields regarded as the external electric-magnetic field. We
show that an addition of the flavor D6-brane describes a class of fractional
quantum Hall plateau transition.
| [
{
"created": "Thu, 12 Mar 2009 19:33:13 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Apr 2009 08:11:29 GMT",
"version": "v2"
}
] | 2009-07-24 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Li",
"Wei",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | We add fundamental matters to the N=6 Chern-Simons theory (ABJM theory), and show that D6-branes wrapped over AdS_4 x S^3/Z_2 in type IIA superstring theory on AdS_4 x CP^3 give its dual description with N=3 supersymmetry. We confirm this by the arguments based on R-symmetry, supersymmetry, and brane configuration of ABJM theory. We also analyze the fluctuations of the D6-brane and compute the conformal dimensions of dual operators. In the presence of fractional branes, the ABJM theory can model the fractional quantum Hall effect (FQHE), with RR-fields regarded as the external electric-magnetic field. We show that an addition of the flavor D6-brane describes a class of fractional quantum Hall plateau transition. |
1001.5049 | Thomas Faulkner | Thomas Faulkner and Joseph Polchinski | Semi-Holographic Fermi Liquids | 26 pages, 4 figures; v2: typos corrected and report number added | null | 10.1007/JHEP06(2011)012 | NSF-KITP-10-010 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the universal physics of recent holographic non-Fermi liquid
models is captured by a semi-holographic description, in which a dynamical
boundary field is coupled to a strongly coupled conformal sector having a
gravity dual. This allows various generalizations, such as a dynamical exponent
and lattice and impurity effects. We examine possible relevant deformations,
including multi-trace terms and spin-orbit effects. We discuss the matching
onto the UV theory of the earlier work, and an alternate description in which
the boundary field is integrated out.
| [
{
"created": "Wed, 27 Jan 2010 21:47:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2010 18:46:33 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Faulkner",
"Thomas",
""
],
[
"Polchinski",
"Joseph",
""
]
] | We show that the universal physics of recent holographic non-Fermi liquid models is captured by a semi-holographic description, in which a dynamical boundary field is coupled to a strongly coupled conformal sector having a gravity dual. This allows various generalizations, such as a dynamical exponent and lattice and impurity effects. We examine possible relevant deformations, including multi-trace terms and spin-orbit effects. We discuss the matching onto the UV theory of the earlier work, and an alternate description in which the boundary field is integrated out. |
1003.3010 | Subodh Patil | Subodh P. Patil | On Semi-classical Degravitation and the Cosmological Constant Problems | 15 pages, 2 appendices. References added. | null | null | CPHT-RR 138.1209, LPTENS-10/13 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this report, we discuss a candidate mechanism through which one might
address the various cosmological constant problems. We first observe that the
renormalization of gravitational couplings (induced by integrating out various
matter fields) manifests non-local modifications to Einstein's equations as
quantum corrected equations of motion. That is, at the loop level, matter
sources curvature through a gravitational coupling that is a non-local function
of the covariant d'Alembertian. If the functional form of the resulting
Newton's `constant' is such that it annihilates very long wavelength sources,
but reduces to $1/M^2_{pl}$ ($M_{pl}$ being the 4d Planck mass) for all sources
with cosmologically observable wavelengths, we would have a complimentary
realization of the degravitation paradigm-- a realization through which its
non-linear completion and the corresponding modified Bianchi identities are
readily understood. We proceed to consider various theories whose coupling to
gravity may a priori induce non-trivial renormalizations of Newton's constant
in the IR, and arrive at a class of non-local effective actions which yield a
suitably degravitating filter function for Newton's constant upon subsequently
being integrated out. We motivate this class of non-local theories through
several considerations, discuss open issues, future directions, the inevitable
question of scheme dependence in semi-classical gravitational calculations and
comment on connections with other meditations in the literature on relaxing of
the cosmological constant semi-classically.
| [
{
"created": "Mon, 15 Mar 2010 19:55:59 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2010 16:21:40 GMT",
"version": "v2"
}
] | 2010-03-17 | [
[
"Patil",
"Subodh P.",
""
]
] | In this report, we discuss a candidate mechanism through which one might address the various cosmological constant problems. We first observe that the renormalization of gravitational couplings (induced by integrating out various matter fields) manifests non-local modifications to Einstein's equations as quantum corrected equations of motion. That is, at the loop level, matter sources curvature through a gravitational coupling that is a non-local function of the covariant d'Alembertian. If the functional form of the resulting Newton's `constant' is such that it annihilates very long wavelength sources, but reduces to $1/M^2_{pl}$ ($M_{pl}$ being the 4d Planck mass) for all sources with cosmologically observable wavelengths, we would have a complimentary realization of the degravitation paradigm-- a realization through which its non-linear completion and the corresponding modified Bianchi identities are readily understood. We proceed to consider various theories whose coupling to gravity may a priori induce non-trivial renormalizations of Newton's constant in the IR, and arrive at a class of non-local effective actions which yield a suitably degravitating filter function for Newton's constant upon subsequently being integrated out. We motivate this class of non-local theories through several considerations, discuss open issues, future directions, the inevitable question of scheme dependence in semi-classical gravitational calculations and comment on connections with other meditations in the literature on relaxing of the cosmological constant semi-classically. |
0801.3662 | Sergei Khlebnikov | Z. Gecse and S. Khlebnikov | Classical thermodynamics of gravitational collapse | 11 pages, 5 figures; v3: minor changes; published in Phys. Rev. D | Phys.Rev.D77:104003,2008 | 10.1103/PhysRevD.77.104003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study numerically gravitational collapse of a spherically symmetric
instanton particle in five dimensions. We show that the late stages of the
process are characterized by a nearly constant ``free energy'', the value of
which matches (within numerical uncertainties) the value obtained from standard
black-hole thermodynamics. This suggests a purely classical interpretation of
the free energy of a black hole.
| [
{
"created": "Wed, 23 Jan 2008 20:46:39 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2008 00:52:08 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jun 2008 19:52:05 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Gecse",
"Z.",
""
],
[
"Khlebnikov",
"S.",
""
]
] | We study numerically gravitational collapse of a spherically symmetric instanton particle in five dimensions. We show that the late stages of the process are characterized by a nearly constant ``free energy'', the value of which matches (within numerical uncertainties) the value obtained from standard black-hole thermodynamics. This suggests a purely classical interpretation of the free energy of a black hole. |
1912.07841 | Vladimir V Belokurov | Vladimir V. Belokurov and Evgeniy T. Shavgulidze | Functional integration over the factor-space
$Diff^{1}_{+}(S^{1})/SL(2,\textbf{R}) $ | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An explicit form of the functional measure on
the factor space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R})$ is obtained that
makes Schwarzian functional integrals calculus simpler and more transparent.
| [
{
"created": "Tue, 17 Dec 2019 06:53:36 GMT",
"version": "v1"
}
] | 2019-12-18 | [
[
"Belokurov",
"Vladimir V.",
""
],
[
"Shavgulidze",
"Evgeniy T.",
""
]
] | An explicit form of the functional measure on the factor space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R})$ is obtained that makes Schwarzian functional integrals calculus simpler and more transparent. |
2101.09513 | Carlos A. S. Almeida | F. C. E. Lima, A. Yu. Petrov, and C. A. S. Almeida | Vortex solutions in nonpolynomial scalar QED | 26 pages, 13 figures | Phys. Rev. D 103, 096019 (2021) | 10.1103/PhysRevD.103.096019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to investigate possible topological vortex structures in generalized
models, we developed a perturbative generation approach for scalar-vector
theories. We demonstrate explicitly that the dielectric permeability functions
must have a nonpolynomial shape, i. e., the form of the logarithmic function.
Basing on this result, we built models in $(2+1)D$ with logarithmic dielectric
permeability in order to investigate the presence of topological vortex
structures in a Maxwell model. This type of scalar-vector models is important
because they can generate stationary field solutions in theories describing the
dynamics of the scalar field. As examples, we chose models of the complex
scalar field coupled to the Maxwell field. Subsequently, we investigated the
model's Bogomol'nyi equations to describe the field configurations. Then, we
demonstrate numerically, for an ansatz with rotational symmetry, that the
solutions of the complex scalar field generating minimum energy configurations
are topological structures depending on the parameters obtained in the
perturbative generation of the vector-scalar theory.
| [
{
"created": "Sat, 23 Jan 2021 14:36:57 GMT",
"version": "v1"
}
] | 2021-05-26 | [
[
"Lima",
"F. C. E.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | In order to investigate possible topological vortex structures in generalized models, we developed a perturbative generation approach for scalar-vector theories. We demonstrate explicitly that the dielectric permeability functions must have a nonpolynomial shape, i. e., the form of the logarithmic function. Basing on this result, we built models in $(2+1)D$ with logarithmic dielectric permeability in order to investigate the presence of topological vortex structures in a Maxwell model. This type of scalar-vector models is important because they can generate stationary field solutions in theories describing the dynamics of the scalar field. As examples, we chose models of the complex scalar field coupled to the Maxwell field. Subsequently, we investigated the model's Bogomol'nyi equations to describe the field configurations. Then, we demonstrate numerically, for an ansatz with rotational symmetry, that the solutions of the complex scalar field generating minimum energy configurations are topological structures depending on the parameters obtained in the perturbative generation of the vector-scalar theory. |
hep-th/9909110 | David Kutasov | A. Giveon, D. Kutasov | Little String Theory in a Double Scaling Limit | 23 pages, harvmac; minor changes | JHEP 9910 (1999) 034 | 10.1088/1126-6708/1999/10/034 | NSF-ITP-99-104, RI-8-99, EFI-99-41 | hep-th | null | A double scaling limit can be defined in string theory on a Calabi-Yau (CY)
manifold by approaching a point in moduli space where the CY space develops an
isolated singularity and at the same time taking the string coupling to zero,
while keeping a particular combination of the two parameters fixed. This leads
to a decoupled theory without gravity which has a weak coupling expansion, and
can be studied using a holographically dual non-critical superstring
description. The usual ``Little String Theory'' corresponds to the strong
coupling limit of this theory. We use holography to compute two and three point
functions in weakly coupled double scaled little string theory, and study the
spectrum of the theory in various dimensions. We find a discrete spectrum of
masses which exhibits Hagedorn growth.
| [
{
"created": "Wed, 15 Sep 1999 19:45:25 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 1999 01:37:15 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Giveon",
"A.",
""
],
[
"Kutasov",
"D.",
""
]
] | A double scaling limit can be defined in string theory on a Calabi-Yau (CY) manifold by approaching a point in moduli space where the CY space develops an isolated singularity and at the same time taking the string coupling to zero, while keeping a particular combination of the two parameters fixed. This leads to a decoupled theory without gravity which has a weak coupling expansion, and can be studied using a holographically dual non-critical superstring description. The usual ``Little String Theory'' corresponds to the strong coupling limit of this theory. We use holography to compute two and three point functions in weakly coupled double scaled little string theory, and study the spectrum of the theory in various dimensions. We find a discrete spectrum of masses which exhibits Hagedorn growth. |
hep-th/9503153 | Thomas Ackermann | T.Ackermann, J.Tolksdorf | The generalized Lichnerowicz formula and analysis of Dirac operators | 25 pages, plain tex | null | null | CPT-95/P.3166, Mannheimer Manuskripte 186 | hep-th | null | We study Dirac operators acting on sections of a Clifford module ${\cal E}$\
over a Riemannian manifold $M$. We prove the intrinsic decomposition formula
for their square, which is the generalisation of the well-known formula due to
Lichnerowicz [L]. This formula enables us to distinguish Dirac operators of
simple type. For each Dirac operator of this natural class the local
Atiyah-Singer index theorem holds. Furthermore, if $M$\ is compact and
${{\petit \rm dim}\;M=2n\ge 4}$, we derive an expression for the Wodzicki
function $W_{\cal E}$, which is defined via the non-commutative residue on the
space of all Dirac operators ${\cal D}({\cal E})$. We calculate this function
for certain Dirac operators explicitly. From a physical point of view this
provides a method to derive gravity, resp. combined gravity/Yang-Mills actions
from the Dirac operators in question.
| [
{
"created": "Thu, 23 Mar 1995 06:56:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ackermann",
"T.",
""
],
[
"Tolksdorf",
"J.",
""
]
] | We study Dirac operators acting on sections of a Clifford module ${\cal E}$\ over a Riemannian manifold $M$. We prove the intrinsic decomposition formula for their square, which is the generalisation of the well-known formula due to Lichnerowicz [L]. This formula enables us to distinguish Dirac operators of simple type. For each Dirac operator of this natural class the local Atiyah-Singer index theorem holds. Furthermore, if $M$\ is compact and ${{\petit \rm dim}\;M=2n\ge 4}$, we derive an expression for the Wodzicki function $W_{\cal E}$, which is defined via the non-commutative residue on the space of all Dirac operators ${\cal D}({\cal E})$. We calculate this function for certain Dirac operators explicitly. From a physical point of view this provides a method to derive gravity, resp. combined gravity/Yang-Mills actions from the Dirac operators in question. |
1207.6564 | Mir Faizal | Mir Faizal | The BV Formalization of Chern-Simons Theory on Deformed Superspace | 19 pages, 0 figures, accepted for publication in Comm. Theor. Phys | Comm. Theor. Phys. 58: 704, 2012 | 10.1088/0253-6102/58/5/14 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we will study non-abelian Chern-Simons theory on a deformed
superspace. We will deform the superspace in such a way that it includes the
noncommutativity between bosonic and fermionic coordinates. We will first
analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on
this deformed superspace. Then we will analyse the extended BRST and the
extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV)
formalism. Finally, we will express these extended BRST and extended anti-BRST
symmetries in extended superspace formalism by introducing new Grassmann
coordinates.
| [
{
"created": "Fri, 27 Jul 2012 14:58:55 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Faizal",
"Mir",
""
]
] | In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on this deformed superspace. Then we will analyse the extended BRST and the extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV) formalism. Finally, we will express these extended BRST and extended anti-BRST symmetries in extended superspace formalism by introducing new Grassmann coordinates. |
1603.03689 | Jinn-Ouk Gong | Jinn-Ouk Gong, Min-Seok Seo and Gary Shiu | Path integral for multi-field inflation | (v1) 27 pages; (v2) references added and typos corrected, to appear
in Journal of High Energy Physics | null | 10.1007/JHEP07(2016)099 | APCTP-Pre2016-002, CTPU-16-03, MAD-TH-16-01 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the path integral formalism for studying cosmological
perturbations in multi-field inflation, which is particularly well suited to
study quantum theories with gauge symmetries such as diffeomorphism invariance.
We formulate the gauge fixing conditions based on the Poisson brackets of the
constraints, from which we derive two convenient gauges that are appropriate
for multi-field inflation. We then adopt the in-in formalism to derive the most
general expression for the power spectrum of the curvature perturbation
including the corrections from the interactions of the curvature mode with
other light degrees of freedom. We also discuss the contributions of the
interactions to the bispectrum.
| [
{
"created": "Fri, 11 Mar 2016 16:40:33 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2016 07:37:15 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Gong",
"Jinn-Ouk",
""
],
[
"Seo",
"Min-Seok",
""
],
[
"Shiu",
"Gary",
""
]
] | We develop the path integral formalism for studying cosmological perturbations in multi-field inflation, which is particularly well suited to study quantum theories with gauge symmetries such as diffeomorphism invariance. We formulate the gauge fixing conditions based on the Poisson brackets of the constraints, from which we derive two convenient gauges that are appropriate for multi-field inflation. We then adopt the in-in formalism to derive the most general expression for the power spectrum of the curvature perturbation including the corrections from the interactions of the curvature mode with other light degrees of freedom. We also discuss the contributions of the interactions to the bispectrum. |
2303.14203 | Alek Bedroya | Alek Bedroya and Yuta Hamada | Dualities from Swampland principles | 29 pages, 4 figures | null | null | KEK-TH-2507 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We initiate the program of bottom-up derivation of string theory dualities
using Swampland principles. In particular, we clarify the relation between
Swampland arguments and all the string theory dualities in $d\geq9$ dimensional
supersymmetric theories. Our arguments center around the sharpened distance
conjecture and rely on various other Swampland principles.
| [
{
"created": "Fri, 24 Mar 2023 18:00:01 GMT",
"version": "v1"
}
] | 2023-03-31 | [
[
"Bedroya",
"Alek",
""
],
[
"Hamada",
"Yuta",
""
]
] | We initiate the program of bottom-up derivation of string theory dualities using Swampland principles. In particular, we clarify the relation between Swampland arguments and all the string theory dualities in $d\geq9$ dimensional supersymmetric theories. Our arguments center around the sharpened distance conjecture and rely on various other Swampland principles. |
2109.04124 | Daniel Roggenkamp | Ilka Brunner, Lukas Krumpeck and Daniel Roggenkamp | Defects and phase transitions to geometric phases of abelian GLSMs | 29 pages | null | null | null | hep-th math-ph math.AG math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider gauged linear sigma models with gauge group U(1) that exhibit a
geometric as well as a Landau Ginzburg phase. We construct defects that
implement the transport of D-branes from the Landau-Ginzburg phase to the
geometric phase. Through their fusion with boundary conditions these defects in
particular provide functors between the respective D-brane categories. The
latter map (equivariant) matrix factorizations to coherent sheaves and can be
formulated explicitly in terms of complexes of matrix factorizations.
| [
{
"created": "Thu, 9 Sep 2021 09:22:35 GMT",
"version": "v1"
}
] | 2021-09-10 | [
[
"Brunner",
"Ilka",
""
],
[
"Krumpeck",
"Lukas",
""
],
[
"Roggenkamp",
"Daniel",
""
]
] | We consider gauged linear sigma models with gauge group U(1) that exhibit a geometric as well as a Landau Ginzburg phase. We construct defects that implement the transport of D-branes from the Landau-Ginzburg phase to the geometric phase. Through their fusion with boundary conditions these defects in particular provide functors between the respective D-brane categories. The latter map (equivariant) matrix factorizations to coherent sheaves and can be formulated explicitly in terms of complexes of matrix factorizations. |
1106.6277 | Jan Rosseel | Eric A. Bergshoeff, Sjoerd de Haan, Wout Merbis, Jan Rosseel | A Non-relativistic Logarithmic Conformal Field Theory from a Holographic
Point of View | 17 pages, v2 : refs. added | null | 10.1007/JHEP09(2011)038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a fourth-order derivative scalar field configuration in a fixed
Lifshitz background. Using an auxiliary field we rewrite the equations of
motion as two coupled second order equations. We specialize to the limit that
the mass of the scalar field degenerates with that of the auxiliary field and
show that logarithmic modes appear. Using non-relativistic holographic methods
we calculate the two-point correlation functions of the boundary operators in
this limit and find evidence for a non-relativistic logarithmic conformal field
theory at the boundary.
| [
{
"created": "Thu, 30 Jun 2011 15:51:49 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2011 13:13:10 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Haan",
"Sjoerd",
""
],
[
"Merbis",
"Wout",
""
],
[
"Rosseel",
"Jan",
""
]
] | We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations. We specialize to the limit that the mass of the scalar field degenerates with that of the auxiliary field and show that logarithmic modes appear. Using non-relativistic holographic methods we calculate the two-point correlation functions of the boundary operators in this limit and find evidence for a non-relativistic logarithmic conformal field theory at the boundary. |
0705.2364 | Pavlos Pasipoularides | K. Farakos, G. Koutsoumbas and P. Pasipoularides | Graviton localization and Newton's law for brane models with a
non-minimally coupled bulk scalar field | 17 pages, revised version | Phys.Rev.D76:064025,2007 | 10.1103/PhysRevD.76.064025 | null | hep-th | null | Brane world models with a non-minimally coupled bulk scalar field have been
studied recently. In this paper we consider metric fluctuations around an
arbitrary gravity-scalar background solution, and we show that the
corresponding spectrum includes a localized zero mode which strongly depends on
the profile of the background scalar field. For a special class of solutions,
with a warp factor of the RS form, we solve the linearized Einstein equations,
for a point-like mass source on the brane, by using the brane bending
formalism. We see that general relativity on the brane is recovered only if we
impose restrictions on the parameter space of the models under consideration.
| [
{
"created": "Wed, 16 May 2007 14:27:16 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2007 18:07:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Farakos",
"K.",
""
],
[
"Koutsoumbas",
"G.",
""
],
[
"Pasipoularides",
"P.",
""
]
] | Brane world models with a non-minimally coupled bulk scalar field have been studied recently. In this paper we consider metric fluctuations around an arbitrary gravity-scalar background solution, and we show that the corresponding spectrum includes a localized zero mode which strongly depends on the profile of the background scalar field. For a special class of solutions, with a warp factor of the RS form, we solve the linearized Einstein equations, for a point-like mass source on the brane, by using the brane bending formalism. We see that general relativity on the brane is recovered only if we impose restrictions on the parameter space of the models under consideration. |
hep-th/9309063 | David N. Yetter | Louis Crane, Louis H. Kauffman, David N. Yetter | Evaluating the Crane-Yetter Invariant | 4 pages | null | null | null | hep-th math.QA | null | We provide an explicit formula for the invariant of 4-manifolds introduced by
Crane and Yetter (in hep-th 9301062). A consequence of our result is the
existence of a combinatorial formula for the signature of a 4-manifold in terms
of local data from a triangulation. Potential physical applications of our
result exist in light of the fact that the Crane-Yetter invariant is a rigorous
version of ideas of Ooguri on B wedge F theory.
| [
{
"created": "Fri, 10 Sep 1993 19:03:55 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Crane",
"Louis",
""
],
[
"Kauffman",
"Louis H.",
""
],
[
"Yetter",
"David N.",
""
]
] | We provide an explicit formula for the invariant of 4-manifolds introduced by Crane and Yetter (in hep-th 9301062). A consequence of our result is the existence of a combinatorial formula for the signature of a 4-manifold in terms of local data from a triangulation. Potential physical applications of our result exist in light of the fact that the Crane-Yetter invariant is a rigorous version of ideas of Ooguri on B wedge F theory. |
2209.10932 | Matteo Maria Maglio | Matteo Maria Maglio, Riccardo Tommasi | Gravitational coupling of QED and QCD: 3- and 4- point functions in
momentum space | 7 pages, 1 figure, QCD@work 2022 conference proceeding | null | 10.1051/epjconf/202227000032 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conformal symmetry has important consequences for strong interactions at
short distances and provides powerful tools for practical calculations. Even if
the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are
invariant under conformal transformations, this symmetry is broken by quantum
corrections. The signature of the symmetry breaking is encoded in the presence
of massless poles in correlators involving stress-energy tensors. We present a
general study of the correlation functions $\langle TJJ\rangle$ and $\langle
TTJJ\rangle$ of conformal field theory (CFT) in the flat background limit in
momentum space, following a reconstruction method for tensor correlators.
Furthermore, our analysis also focuses on studying the dimensional degeneracies
of the tensor structures related to these correlators.
| [
{
"created": "Thu, 22 Sep 2022 11:27:45 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Maglio",
"Matteo Maria",
""
],
[
"Tommasi",
"Riccardo",
""
]
] | Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by quantum corrections. The signature of the symmetry breaking is encoded in the presence of massless poles in correlators involving stress-energy tensors. We present a general study of the correlation functions $\langle TJJ\rangle$ and $\langle TTJJ\rangle$ of conformal field theory (CFT) in the flat background limit in momentum space, following a reconstruction method for tensor correlators. Furthermore, our analysis also focuses on studying the dimensional degeneracies of the tensor structures related to these correlators. |
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