id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9902084 | Oswaldo Monteiro Del Cima | Oswaldo M. Del Cima (TU-Wien), Daniel H.T. Franco (SISSA-Trieste) and
Olivier Piguet (UFES-Vitoria) | Gauge Independence of the Effective Potential Revisited | 13 pages, no figures, Latex, final version published in NPB | Nucl.Phys.B551:813-825,1999 | 10.1016/S0550-3213(99)00226-6 | TUW-99-03 | hep-th hep-ph | null | We apply the formalism of extended BRS symmetry to the investigation of the
gauge dependence of the effective potential in a spontaneously symmetry broken
gauge theory. This formalism, which includes a set of Grassmann parameters
defined as the BRS variations of the gauge-fixing parameters, allows us to
derive in a quick and unambiguous way the related Nielsen identities, which
express the physical gauge independence, in a class of generalized 't Hooft
gauges, of the effective potential. We show in particular that the validity of
the Nielsen identities does not require any constraint on the gauge-fixing
parameters, to the contrary of some claims found in the literature. We use the
method of algebraic renormalization, which leads to results independent of the
particular renormalization scheme used.
| [
{
"created": "Thu, 11 Feb 1999 14:26:09 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Mar 1999 15:01:55 GMT",
"version": "v2"
},
{
"created": "Fri, 28 May 1999 12:40:05 GMT",
"version": "v3"
}
] | 2010-02-05 | [
[
"Del Cima",
"Oswaldo M.",
"",
"TU-Wien"
],
[
"Franco",
"Daniel H. T.",
"",
"SISSA-Trieste"
],
[
"Piguet",
"Olivier",
"",
"UFES-Vitoria"
]
] | We apply the formalism of extended BRS symmetry to the investigation of the gauge dependence of the effective potential in a spontaneously symmetry broken gauge theory. This formalism, which includes a set of Grassmann parameters defined as the BRS variations of the gauge-fixing parameters, allows us to derive in a quick and unambiguous way the related Nielsen identities, which express the physical gauge independence, in a class of generalized 't Hooft gauges, of the effective potential. We show in particular that the validity of the Nielsen identities does not require any constraint on the gauge-fixing parameters, to the contrary of some claims found in the literature. We use the method of algebraic renormalization, which leads to results independent of the particular renormalization scheme used. |
1212.3143 | Andrey Slavnov A | A. A. Slavnov (Steklov Mathematical Institute, Moscow) | The Yang-Mills theory as a massless limit of a massive nonabelian gauge
model | 8 pages, no figures | null | 10.1007/s11232-013-0037-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A gauge invariant infrared regularization of the Yang-Mills theory applicable
beyond perturbation theory is constructed.
| [
{
"created": "Thu, 13 Dec 2012 12:01:31 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Slavnov",
"A. A.",
"",
"Steklov Mathematical Institute, Moscow"
]
] | A gauge invariant infrared regularization of the Yang-Mills theory applicable beyond perturbation theory is constructed. |
1704.05619 | Ichiro Oda | Ichiro Oda | Manifestly Local Formulation of Nonlocal Approach to the Cosmological
Constant Problem | 7 pages | Phys. Rev. D 95, 104020 (2017) | 10.1103/PhysRevD.95.104020 | DPUR/TH/54 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a manifestly local and general coordinate invariant formulation of
a nonlocal approach to the cosmological constant problem which has been
recently proposed by Carroll and Remmen. To do that, we need to introduce a
topological term involving a new 3-form gauge field. The equations of motion
for this new 3-form gauge field lead to a constant Lagrange multiplier
parameter and the resulting action becomes equivalent to that of Carroll and
Remmen. In our formulation, nonlocal informations are encoded via the procedure
of taking the space-time average at the stage of the equations of motion.
Consequently, our theory evades a no-go theorem by Weinberg and provides a new
solution to the cosmological constant problem in almost exactly the same way as
the original proposal by Carroll et al.
| [
{
"created": "Wed, 19 Apr 2017 05:53:25 GMT",
"version": "v1"
}
] | 2017-05-24 | [
[
"Oda",
"Ichiro",
""
]
] | We present a manifestly local and general coordinate invariant formulation of a nonlocal approach to the cosmological constant problem which has been recently proposed by Carroll and Remmen. To do that, we need to introduce a topological term involving a new 3-form gauge field. The equations of motion for this new 3-form gauge field lead to a constant Lagrange multiplier parameter and the resulting action becomes equivalent to that of Carroll and Remmen. In our formulation, nonlocal informations are encoded via the procedure of taking the space-time average at the stage of the equations of motion. Consequently, our theory evades a no-go theorem by Weinberg and provides a new solution to the cosmological constant problem in almost exactly the same way as the original proposal by Carroll et al. |
2209.14544 | Hongbo Cheng | Hongbo Cheng | The Horava-Lifshitz Modifications of the Casimir effect at finite
temperature revisted | 11 pages, 1 figure | The European Physical Journal C82(2022)1032 | 10.1140/epjc/s10052-022-10854-4 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We proceed with the study of the Casimir force for parallel plates at finite
temperature in the Horava-Lifshitz (HL) theory. We find that the HL exponent
can not be chosen as an integer, or the Casimir energy will be a constant and
further the Casimir force between two parallel plates will vanish. The higher
temperature makes the attractive Casimir force weaker, which is consistent with
the original consequence confirmed theoretically and experimentally. We can
select the HL factor adequately to lead the thermally revised Casimir force to
be similar to the standard results for the parallel plates.
| [
{
"created": "Thu, 29 Sep 2022 04:18:04 GMT",
"version": "v1"
}
] | 2022-12-06 | [
[
"Cheng",
"Hongbo",
""
]
] | We proceed with the study of the Casimir force for parallel plates at finite temperature in the Horava-Lifshitz (HL) theory. We find that the HL exponent can not be chosen as an integer, or the Casimir energy will be a constant and further the Casimir force between two parallel plates will vanish. The higher temperature makes the attractive Casimir force weaker, which is consistent with the original consequence confirmed theoretically and experimentally. We can select the HL factor adequately to lead the thermally revised Casimir force to be similar to the standard results for the parallel plates. |
hep-th/0209255 | Kluson Josef | J. Kluson | Exact Solutions in Open Bosonic String Field Theory and Marginal
Deformation in CFT | 21 pages, Improved interpretation of given solution, new analysis of
perturbation performed | Int.J.Mod.Phys. A19 (2004) 4695 | 10.1142/S0217751X04019329 | null | hep-th | null | In this paper we continue our study f the exact solution in open bosonic
string field theory. We present new solution in the string field theory defined
on the background corresponding to the boundary conformal field theory
describing D25-brane. Then we will study the fluctuation modes around this
solution and we determine their basic properties from the linearised equation
of motion of the string field theory defined above the classical solution.
| [
{
"created": "Sun, 29 Sep 2002 06:06:14 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 2003 12:40:26 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kluson",
"J.",
""
]
] | In this paper we continue our study f the exact solution in open bosonic string field theory. We present new solution in the string field theory defined on the background corresponding to the boundary conformal field theory describing D25-brane. Then we will study the fluctuation modes around this solution and we determine their basic properties from the linearised equation of motion of the string field theory defined above the classical solution. |
2006.16101 | Julien Roussillon | Julien Roussillon | The Virasoro fusion kernel and Ruijsenaars' hypergeometric function | 19 pages | null | 10.1007/s11005-020-01351-4 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the Virasoro fusion kernel is equal to Ruijsenaars'
hypergeometric function up to normalization. More precisely, we prove that the
Virasoro fusion kernel is a joint eigenfunction of four difference operators.
We find a renormalized version of this kernel for which the four difference
operators are mapped to four versions of the quantum relativistic hyperbolic
Calogero-Moser Hamiltonian tied with the root system $BC_1$. We consequently
prove that the renormalized Virasoro fusion kernel and the corresponding
quantum eigenfunction, the (renormalized) Ruijsenaars hypergeometric function,
are equal.
| [
{
"created": "Mon, 29 Jun 2020 15:02:40 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Roussillon",
"Julien",
""
]
] | We show that the Virasoro fusion kernel is equal to Ruijsenaars' hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint eigenfunction of four difference operators. We find a renormalized version of this kernel for which the four difference operators are mapped to four versions of the quantum relativistic hyperbolic Calogero-Moser Hamiltonian tied with the root system $BC_1$. We consequently prove that the renormalized Virasoro fusion kernel and the corresponding quantum eigenfunction, the (renormalized) Ruijsenaars hypergeometric function, are equal. |
0812.0721 | Jan Govaerts | Jan Govaerts (CP3, UCL, Louvain-la-Neuve, Belgium ; Fellow,
Stellenbosch Institute for Advanced Study, Stellenbosch, Rep. South Africa ;
ICMPA-UNESCO, Cotonou, Rep. Benin) | A Pedestrian Introduction to the Mathematical Concepts of Quantum
Physics | Contribution to the Proceedings of the Fifth International Workshop
on Contemporary Problems in Mathematical Physics, October 27 - November 2,
2007, Cotonou (Republic of Benin), 79 pages, 1 figure | null | null | CP3-08-59 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes offer a basic introduction to the primary mathematical concepts
of quantum physics, and their physical significance, from the operator and
Hilbert space point of view, highlighting more what are essentially the
abstract algebraic aspects of quantisation in contrast to more standard
treatments of such issues, while also bridging towards the path integral
formulation of quantisation. A discussion of the (first) Noether theorem and
Lie symmetries is also included to complement the presentation. Emphasis is put
throughout, as illustrative examples threading the presentation, on the quantum
harmonic oscillator and the dynamics of a charged particle coupled to the
electromagnetic field, with the ambition to bring the reader onto the threshold
of relativistic quantum field theories with their local gauge invariances as a
natural framework for describing relativistic quantum particles in interaction
and carrying specific conserved charges.
| [
{
"created": "Wed, 3 Dec 2008 14:12:20 GMT",
"version": "v1"
}
] | 2008-12-04 | [
[
"Govaerts",
"Jan",
"",
"CP3, UCL, Louvain-la-Neuve, Belgium ; Fellow,\n Stellenbosch Institute for Advanced Study, Stellenbosch, Rep. South Africa ;\n ICMPA-UNESCO, Cotonou, Rep. Benin"
]
] | These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantisation in contrast to more standard treatments of such issues, while also bridging towards the path integral formulation of quantisation. A discussion of the (first) Noether theorem and Lie symmetries is also included to complement the presentation. Emphasis is put throughout, as illustrative examples threading the presentation, on the quantum harmonic oscillator and the dynamics of a charged particle coupled to the electromagnetic field, with the ambition to bring the reader onto the threshold of relativistic quantum field theories with their local gauge invariances as a natural framework for describing relativistic quantum particles in interaction and carrying specific conserved charges. |
1702.06139 | James Sully | Ethan Dyer, Daniel Z. Freedman, James Sully | Spinning Geodesic Witten Diagrams | 28+6 pages, 8 figures | null | 10.1007/JHEP11(2017)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an expression for the four-point conformal blocks of symmetric
traceless operators of arbitrary spin as an integral over a pair of geodesics
in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of
Hijano et al [arXiv:1508.00501] to arbitrary spin. As an intermediate step in
the derivation, we identify a convenient basis of bulk three-point interaction
vertices which give rise to all possible boundary three point structures. We
highlight a direct connection between the representation of the conformal block
as a geodesic Witten diagram and the shadow operator formalism.
| [
{
"created": "Mon, 20 Feb 2017 19:00:27 GMT",
"version": "v1"
}
] | 2017-12-06 | [
[
"Dyer",
"Ethan",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Sully",
"James",
""
]
] | We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al [arXiv:1508.00501] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk three-point interaction vertices which give rise to all possible boundary three point structures. We highlight a direct connection between the representation of the conformal block as a geodesic Witten diagram and the shadow operator formalism. |
hep-th/0101191 | Rui Neves | Yuri Kubyshin, Rui Neves and Robertus Potting | Polchinski ERG Equation in O(N) Scalar Field Theory | 7 pages, 4 figures, uses latex sprocl style. Two references added. To
be published in the proceedings of the Second Conference on the Exact
Renormalization Group (Rome, September 18-22, 2000), World Scientific | Int.J.Mod.Phys. A16 (2001) 2065-2070 | 10.1142/S0217751X01004712 | null | hep-th | null | We investigate the Polchinski ERG equation for d-dimensional O(N) scalar
field theory. In the context of the non-perturbative derivative expansion we
find families of regular solutions and establish their relation with the
physical fixed points of the theory. Special emphasis is given to the large N
limit for which many properties can be studied analytically.
| [
{
"created": "Sun, 28 Jan 2001 21:59:39 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 2001 11:03:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kubyshin",
"Yuri",
""
],
[
"Neves",
"Rui",
""
],
[
"Potting",
"Robertus",
""
]
] | We investigate the Polchinski ERG equation for d-dimensional O(N) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish their relation with the physical fixed points of the theory. Special emphasis is given to the large N limit for which many properties can be studied analytically. |
1008.3778 | Roberto Volpato | Matthias R. Gaberdiel, Stefan Hohenegger, Roberto Volpato | Mathieu Moonshine in the elliptic genus of K3 | 23 pages; an error corrected, references updated | JHEP 1010:062,2010 | 10.1007/JHEP10(2010)062 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been conjectured that the elliptic genus of K3 can be written
in terms of dimensions of Mathieu group M24 representations. Some further
evidence for this idea was subsequently found by studying the twining genera
that are obtained from the elliptic genus upon replacing dimensions of Mathieu
group representations by their characters. In this paper we find explicit
formulae for all (remaining) twining genera by making an educated guess for
their general modular properties. This allows us to identify the decomposition
of all expansion coefficients in terms of dimensions of M24-representations.
For the first 500 coefficients we verify that the multiplicities with which
these representations appear are indeed all non-negative integers. This
represents very compelling evidence in favour of the conjecture.
| [
{
"created": "Mon, 23 Aug 2010 09:16:54 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Aug 2010 10:00:56 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Jun 2011 16:55:26 GMT",
"version": "v3"
}
] | 2011-06-09 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Hohenegger",
"Stefan",
""
],
[
"Volpato",
"Roberto",
""
]
] | It has recently been conjectured that the elliptic genus of K3 can be written in terms of dimensions of Mathieu group M24 representations. Some further evidence for this idea was subsequently found by studying the twining genera that are obtained from the elliptic genus upon replacing dimensions of Mathieu group representations by their characters. In this paper we find explicit formulae for all (remaining) twining genera by making an educated guess for their general modular properties. This allows us to identify the decomposition of all expansion coefficients in terms of dimensions of M24-representations. For the first 500 coefficients we verify that the multiplicities with which these representations appear are indeed all non-negative integers. This represents very compelling evidence in favour of the conjecture. |
1404.2137 | Gianluca Calcagni | Gianluca Calcagni, Leonardo Modesto | Nonlocal quantum gravity and M-theory | 16 pages, 1 figure. v2: title changed, discussion improved and
extended in Secs. I, VI and VII, new Sec. V on massive states added, typos
corrected (including different sign conventions in several equations),
results unchanged | Phys. Rev. D 91, 124059 (2015) | 10.1103/PhysRevD.91.124059 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a ultraviolet completion of the bosonic sector of 11-dimensional
supergravity motivated by string field theory. We start from a general class of
theories characterized by an entire nonpolynomial form factor which allows one
to avoid new poles in the propagator and improves the high-energy behavior of
the loops amplitudes. Comparing these models with effective string field
theory, a unique form factor is selected out. In view of this, we modify
10-dimensional supergravity and finally get a ultraviolet completion of
11-dimensional supergravity by an oxidation process. The result is a candidate
for a finite and unitary particle-field limit of M-theory.
| [
{
"created": "Tue, 8 Apr 2014 14:07:56 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2015 11:45:35 GMT",
"version": "v2"
}
] | 2015-06-24 | [
[
"Calcagni",
"Gianluca",
""
],
[
"Modesto",
"Leonardo",
""
]
] | We construct a ultraviolet completion of the bosonic sector of 11-dimensional supergravity motivated by string field theory. We start from a general class of theories characterized by an entire nonpolynomial form factor which allows one to avoid new poles in the propagator and improves the high-energy behavior of the loops amplitudes. Comparing these models with effective string field theory, a unique form factor is selected out. In view of this, we modify 10-dimensional supergravity and finally get a ultraviolet completion of 11-dimensional supergravity by an oxidation process. The result is a candidate for a finite and unitary particle-field limit of M-theory. |
2210.13471 | Alvaro Herraez | Veronica Collazuol, Mariana Gra\~na, Alvaro Herr\'aez and H\'ector
Parra De Freitas | Affine Algebras at Infinite Distance Limits in the Heterotic String | 51 pages, 10 figures | null | 10.1007/JHEP07(2023)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the boundaries of the moduli spaces of compactifications of the
heterotic string on $T^d$, making particular emphasis on $d=2$ and its F-theory
dual. We compute the OPE algebras as we approach all the infinite distance
limits that correspond to (possibly partial) decompactification limits in some
dual frame. When decompactifying $k$ directions, we find infinite towers of
states becoming light that enhance the algebra arising at a given point in the
moduli space of the $T^{d-k}$ compactification to its $k$-loop version, where
the central extensions are given by the $k$ KK vectors. For $T^2$
compactifications, we reproduce all the affine algebras that arise in the
F-theory dual, and show all the towers explicitly, including some that are not
manifest in the F-theory counterparts. Furthermore, we construct the affine
$SO(32)$ algebra arising in the full decompactification limit, both in the
heterotic and in the F-theory sides, showing that not only affine algebras of
exceptional type arise in the latter.
| [
{
"created": "Mon, 24 Oct 2022 18:00:00 GMT",
"version": "v1"
}
] | 2023-07-26 | [
[
"Collazuol",
"Veronica",
""
],
[
"Graña",
"Mariana",
""
],
[
"Herráez",
"Alvaro",
""
],
[
"De Freitas",
"Héctor Parra",
""
]
] | We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on $T^d$, making particular emphasis on $d=2$ and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying $k$ directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the $T^{d-k}$ compactification to its $k$-loop version, where the central extensions are given by the $k$ KK vectors. For $T^2$ compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine $SO(32)$ algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter. |
1301.1977 | Meng-Chwan Tan | Meng-Chwan Tan | M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands
Duality for Surfaces, to the AGT Correspondence, to Integrable Systems | 214 pages. Minor imprecisions corrected. Added acknowledgment | JHEP07(2013)171 | 10.1007/JHEP07(2013)171 | null | hep-th math.AG math.QA math.RT nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In Part I, we extend our analysis in [arXiv:0807.1107], and show that a
mathematically conjectured geometric Langlands duality for complex surfaces in
[1], and its generalizations -- which relate some cohomology of the moduli
space of certain ("ramified") G-instantons to the integrable representations of
the Langlands dual of certain affine (sub) G-algebras, where G is any compact
Lie group -- can be derived, purely physically, from the principle that the
spacetime BPS spectra of string-dual M-theory compactifications ought to be
equivalent.
In Part II, to the setup in Part I, we introduce Omega-deformation via
fluxbranes and add half-BPS boundary defects via M9-branes, and show that the
celebrated AGT correspondence in [2, 3], and its generalizations -- which
essentially relate, among other things, some equivariant cohomology of the
moduli space of certain ("ramified") G-instantons to the integrable
representations of the Langlands dual of certain affine W-algebras -- can
likewise be derived from the principle that the spacetime BPS spectra of
string-dual M-theory compactifications ought to be equivalent.
In Part III, we consider various limits of our setup in Part II, and connect
our story to chiral fermions and integrable systems. Among other things, we
derive the Nekrasov-Okounkov conjecture in [4] -- which relates the topological
string limit of the dual Nekrasov partition function for pure G to the
integrable representations of the Langlands dual of an affine G-algebra -- and
also demonstrate that the Nekrasov-Shatashvili limit of the "fully-ramified"
Nekrasov instanton partition function for pure G is a simultaneous
eigenfunction of the quantum Toda Hamiltonians associated with the Langlands
dual of an affine G-algebra. Via the case with matter, we also make contact
with Hitchin systems and the "ramified" geometric Langlands correspondence for
curves.
| [
{
"created": "Wed, 9 Jan 2013 21:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2013 02:11:57 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Aug 2013 02:21:10 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2016 03:15:13 GMT",
"version": "v4"
}
] | 2016-08-02 | [
[
"Tan",
"Meng-Chwan",
""
]
] | In Part I, we extend our analysis in [arXiv:0807.1107], and show that a mathematically conjectured geometric Langlands duality for complex surfaces in [1], and its generalizations -- which relate some cohomology of the moduli space of certain ("ramified") G-instantons to the integrable representations of the Langlands dual of certain affine (sub) G-algebras, where G is any compact Lie group -- can be derived, purely physically, from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent. In Part II, to the setup in Part I, we introduce Omega-deformation via fluxbranes and add half-BPS boundary defects via M9-branes, and show that the celebrated AGT correspondence in [2, 3], and its generalizations -- which essentially relate, among other things, some equivariant cohomology of the moduli space of certain ("ramified") G-instantons to the integrable representations of the Langlands dual of certain affine W-algebras -- can likewise be derived from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent. In Part III, we consider various limits of our setup in Part II, and connect our story to chiral fermions and integrable systems. Among other things, we derive the Nekrasov-Okounkov conjecture in [4] -- which relates the topological string limit of the dual Nekrasov partition function for pure G to the integrable representations of the Langlands dual of an affine G-algebra -- and also demonstrate that the Nekrasov-Shatashvili limit of the "fully-ramified" Nekrasov instanton partition function for pure G is a simultaneous eigenfunction of the quantum Toda Hamiltonians associated with the Langlands dual of an affine G-algebra. Via the case with matter, we also make contact with Hitchin systems and the "ramified" geometric Langlands correspondence for curves. |
hep-th/0206121 | Abdulla Rakhimov | A. Rakhimov, (Institute of Nuclear Physics, Tashkent, Uzbekistan) and
Jae Hyung Yee (Institute of Physics and Applied Physics, Younsei University,
Seoul, Korea) | Optimized post Gaussian approximation in the background field method | 21 pages, including 5 figures, RevTex. The section III revised | Int.J.Mod.Phys. A19 (2004) 1589-1608 | 10.1142/S0217751X04017884 | null | hep-th | null | We have extended the variational perturbative theory based on the back ground
field method to include the optimized expansion of Okopinska and the post
Gaussian effective potential of Stansu and Stevenson. This new method provides
much simpler way to compute the correction terms to the Gausssian effective
action (or potential). We have also renormalized the effective potential in 3+1
dimensions by introducing appropriate counter terms in the lagrangian
| [
{
"created": "Fri, 14 Jun 2002 03:18:03 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2002 09:48:54 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Aug 2003 08:00:00 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Rakhimov",
"A.",
"",
"Institute of Physics and Applied Physics, Younsei University,\n Seoul, Korea"
],
[
"Yee",
"Jae Hyung",
"",
"Institute of Physics and Applied Physics, Younsei University,\n Seoul, Korea"
]
] | We have extended the variational perturbative theory based on the back ground field method to include the optimized expansion of Okopinska and the post Gaussian effective potential of Stansu and Stevenson. This new method provides much simpler way to compute the correction terms to the Gausssian effective action (or potential). We have also renormalized the effective potential in 3+1 dimensions by introducing appropriate counter terms in the lagrangian |
2206.13268 | Ruslan Metsaev | R.R. Metsaev | Interacting massive and massless arbitrary spin fields in 4d flat space | 43 pages, v2: Brief comments on numbers of cubic vertices in
Secs.7-11 added. Typos corrected. References added | null | 10.1016/j.nuclphysb.2022.115978 | FIAN-TD-2022-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive and massless arbitrary integer spin fields propagating in
four-dimensional flat space are studied. The massive and massless fields are
treated by using a light-cone gauge helicity basis formalism. Cubic
cross-interactions between massive and massless fields and cubic interactions
between massive fields are investigated. We introduce a classification of such
cubic interactions and using our classification we build all cubic interaction
vertices. Realization of generators of the Poincare algebra on space of
interacting fields is found. As a by-product, some illustrative examples of
light-cone form for 3-point invariant amplitudes of massive and massless fields
are also discussed.
| [
{
"created": "Mon, 27 Jun 2022 12:58:21 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Sep 2022 13:27:34 GMT",
"version": "v2"
}
] | 2022-10-05 | [
[
"Metsaev",
"R. R.",
""
]
] | Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between massive and massless fields and cubic interactions between massive fields are investigated. We introduce a classification of such cubic interactions and using our classification we build all cubic interaction vertices. Realization of generators of the Poincare algebra on space of interacting fields is found. As a by-product, some illustrative examples of light-cone form for 3-point invariant amplitudes of massive and massless fields are also discussed. |
hep-th/0002202 | Justin David | Justin R. David | Infra-red dynamics of D1-branes at the conifold | 20 pages, latex, some clarifications added, version to appear in JHEP | JHEP 0005 (2000) 019 | 10.1088/1126-6708/2000/05/019 | null | hep-th | null | We study the infra-red dynamics of D1-branes at the conifold. We show using
methods developed to study the infra-red dynamics of (4,4) theories, the
infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the
conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a
compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to
formulate the matrix string in the conifold background.
| [
{
"created": "Thu, 24 Feb 2000 03:08:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2000 03:27:07 GMT",
"version": "v2"
},
{
"created": "Tue, 9 May 2000 21:41:04 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"David",
"Justin R.",
""
]
] | We study the infra-red dynamics of D1-branes at the conifold. We show using methods developed to study the infra-red dynamics of (4,4) theories, the infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to formulate the matrix string in the conifold background. |
hep-th/9404024 | Tadahiko Kimura | Tadahiko Kimura | A Parity Invariant Regularization in 3-D Quantum Electrodynamics | 7 pages, CHIBA-EP-76, LaTeX | Prog.Theor.Phys. 92 (1994) 693-698 | 10.1143/PTP.92.693 | null | hep-th | null | We regularize the 3-D quantum electrodynamics by a parity invariant
Pauli-Villars regularization method. We find that in the perturbation theory
the Chern-Simons term is not induced in the massless fermion case and induced
in the massive fermion case.
| [
{
"created": "Wed, 6 Apr 1994 03:00:49 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kimura",
"Tadahiko",
""
]
] | We regularize the 3-D quantum electrodynamics by a parity invariant Pauli-Villars regularization method. We find that in the perturbation theory the Chern-Simons term is not induced in the massless fermion case and induced in the massive fermion case. |
hep-th/0312317 | Vladimir Ivashchuk | H. Dehnen, V.D. Ivashchuk and V.N. Melnikov | Billiard representation for multidimensional multi-scalar cosmological
model with exponential potentials | 19 pages, Latex, 2 figures; to be published in GRG | Gen.Rel.Grav. 36 (2004) 1563-1578 | 10.1023/B:GERG.0000032149.58989.e0 | IGC-PFUR-10/03 | hep-th astro-ph gr-qc | null | Multidimensional cosmological-type model with n Einstein factor spaces in the
theory with l scalar fields and multiple exponential potential is considered.
The dynamics of the model near the singularity is reduced to a billiard on the
(N-1)-dimensional Lobachevsky space H^{N-1}, N = n+l. It is shown that for n >
1 the oscillating behaviour near the singularity is absent and solutions have
an asymptotical Kasner-like behavior. For the case of one scale factor (n =1)
billiards with finite volumes (e.g. coinciding with that of the Bianchi-IX
model) are described and oscillating behaviour of scalar fields near the
singularity is obtained.
| [
{
"created": "Tue, 30 Dec 2003 22:16:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Dehnen",
"H.",
""
],
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
]
] | Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N-1)-dimensional Lobachevsky space H^{N-1}, N = n+l. It is shown that for n > 1 the oscillating behaviour near the singularity is absent and solutions have an asymptotical Kasner-like behavior. For the case of one scale factor (n =1) billiards with finite volumes (e.g. coinciding with that of the Bianchi-IX model) are described and oscillating behaviour of scalar fields near the singularity is obtained. |
1806.01765 | Junjie Rao | Junjie Rao | 4-particle Amplituhedronics for 3-5 Loops | 45 pages, 20 figures, 2 appendices. Figures improved for v2. More
introduction and subsection 1.9 added for v3 | Nucl. Phys. B 943C (2019) 114625 | 10.1016/j.nuclphysb.2019.114625 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following the direction of 1712.09990 and 1712.09994, this article continues
to excavate more interesting aspects of the 4-particle amplituhedron for a
better understanding of the 4-particle integrand of planar N=4 SYM to all loop
orders, from the perspective of positive geometry. At 3-loop order, we
introduce a much more refined dissection of the amplituhedron to understand its
essential structure and maximally simplify its direct calculation, by fully
utilizing its symmetry as well as the efficient Mondrian way for reorganizing
all contributing pieces. Although significantly improved, this approach
immediately encounters its technical bottleneck at 4-loop. Still, we manage to
alleviate this difficulty by imitating the traditional (generalized) unitarity
cuts, which is to use the so-called positive cuts. Given a basis of dual
conformally invariant (DCI) loop integrals, we can figure out the coefficient
of each DCI topology using its dlog form via positivity conditions. Explicit
examples include all 2+5 non-rung-rule topologies at 4- and 5-loop
respectively. These results remarkably agree with previous knowledge, which
confirms the validity of amplituhedron up to 5-loop and develops a new approach
of determining the coefficient of each distinct DCI loop integral.
| [
{
"created": "Tue, 5 Jun 2018 16:02:51 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2018 17:13:57 GMT",
"version": "v2"
},
{
"created": "Thu, 9 May 2019 15:19:17 GMT",
"version": "v3"
}
] | 2019-05-10 | [
[
"Rao",
"Junjie",
""
]
] | Following the direction of 1712.09990 and 1712.09994, this article continues to excavate more interesting aspects of the 4-particle amplituhedron for a better understanding of the 4-particle integrand of planar N=4 SYM to all loop orders, from the perspective of positive geometry. At 3-loop order, we introduce a much more refined dissection of the amplituhedron to understand its essential structure and maximally simplify its direct calculation, by fully utilizing its symmetry as well as the efficient Mondrian way for reorganizing all contributing pieces. Although significantly improved, this approach immediately encounters its technical bottleneck at 4-loop. Still, we manage to alleviate this difficulty by imitating the traditional (generalized) unitarity cuts, which is to use the so-called positive cuts. Given a basis of dual conformally invariant (DCI) loop integrals, we can figure out the coefficient of each DCI topology using its dlog form via positivity conditions. Explicit examples include all 2+5 non-rung-rule topologies at 4- and 5-loop respectively. These results remarkably agree with previous knowledge, which confirms the validity of amplituhedron up to 5-loop and develops a new approach of determining the coefficient of each distinct DCI loop integral. |
hep-th/9903153 | Adi Armoni | A. Armoni, Y. Frishman and J. Sonnenschein | The String Tension in Two Dimensional Gauge Theories | 25 pages, Latex. v2: several changes, mainly in section 4 | Int.J.Mod.Phys. A14 (1999) 2475-2494 | 10.1142/S0217751X99001226 | TAUP-2566-99, WIS-99/09/Mar-DPP | hep-th | null | We review and elaborate on properties of the string tension in
two-dimensional gauge theories. The first model we consider is massive QED in
the $m\ll e$ limit. We evaluate the leading string tension both in the
fermionic and bosonized descriptions. We discuss the next to leading
corrections in $m/e$. The next-to-leading terms in the long distance behavior
of the quark-antiquark potential, are evaluated in a certain region of external
versus dynamical charges. The finite temperature behavior is also determined.
In $QCD_2$ we review the results for the string tension of quarks in cases with
dynamical quarks in the fundamental, adjoint, symmetric and antisymmetric
representations. The screening nature of $SYM_2$ is re-derived.
| [
{
"created": "Wed, 17 Mar 1999 15:04:24 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Apr 1999 13:09:40 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Armoni",
"A.",
""
],
[
"Frishman",
"Y.",
""
],
[
"Sonnenschein",
"J.",
""
]
] | We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the $m\ll e$ limit. We evaluate the leading string tension both in the fermionic and bosonized descriptions. We discuss the next to leading corrections in $m/e$. The next-to-leading terms in the long distance behavior of the quark-antiquark potential, are evaluated in a certain region of external versus dynamical charges. The finite temperature behavior is also determined. In $QCD_2$ we review the results for the string tension of quarks in cases with dynamical quarks in the fundamental, adjoint, symmetric and antisymmetric representations. The screening nature of $SYM_2$ is re-derived. |
hep-th/9702034 | Paul Saffin | P. M. Saffin and E. J. Copeland | Bubble collisions in SU(2)xU(1) gauge theory and the production of
non-topological strings | 9 pages, RevTeX, 4 eps figures | Phys.Rev. D56 (1997) 1215-1219 | 10.1103/PhysRevD.56.1215 | SUSX-TH/97-003 | hep-th hep-ph | null | We extend work done previously concerning the formation of vortices in a
U(1)->1 gauge theory at a first order phase transition to the symmetry breaking
SU(2)xU(1)->U(1). It is shown that the collision of bubbles, appearing at the
phase transition, allow the possibility for forming non-topological strings
associated with the gauge group. The method used also shows clearly how these
vortices are related to the Nielsen-Olesen vortices.
| [
{
"created": "Tue, 4 Feb 1997 11:52:00 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Saffin",
"P. M.",
""
],
[
"Copeland",
"E. J.",
""
]
] | We extend work done previously concerning the formation of vortices in a U(1)->1 gauge theory at a first order phase transition to the symmetry breaking SU(2)xU(1)->U(1). It is shown that the collision of bubbles, appearing at the phase transition, allow the possibility for forming non-topological strings associated with the gauge group. The method used also shows clearly how these vortices are related to the Nielsen-Olesen vortices. |
1001.2399 | Franziska Synatschke | Franziska Synatschke, Jens Braun and Andreas Wipf | N=1 Wess Zumino Model in d=3 at zero and finite temperature | 14 pages, 6 figures, typos corrected and some comments added, version
to be published in Phys. Rev. D | Phys.Rev.D81:125001,2010 | 10.1103/PhysRevD.81.125001 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric renormalization group (RG) flow equations for the effective
superpotential of the three-dimensional Wess-Zumino model are derived at zero
and non-zero temperature. This model with fermions and bosons interacting via a
Yukawa term possesses a supersymmetric analogue of the Wilson-Fisher
fixed-point. At zero temperature we determine the phase-transition line in
coupling-constant space separating the supersymmetric from the
non-supersymmetric phase. At finite temperature we encounter dimensional
reduction from 3 to 2 dimensions in the infrared regime. We determine the
finite-temperature phase diagram for the restoration of the global
$Z_2$-symmetry and show that for temperatures above the $Z_2$ phase transition
the pressure obeys the Stefan-Boltzmann law of a gas of massless bosons in 2+1
dimensions.
| [
{
"created": "Thu, 14 Jan 2010 10:19:34 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 2010 08:03:26 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Synatschke",
"Franziska",
""
],
[
"Braun",
"Jens",
""
],
[
"Wipf",
"Andreas",
""
]
] | Supersymmetric renormalization group (RG) flow equations for the effective superpotential of the three-dimensional Wess-Zumino model are derived at zero and non-zero temperature. This model with fermions and bosons interacting via a Yukawa term possesses a supersymmetric analogue of the Wilson-Fisher fixed-point. At zero temperature we determine the phase-transition line in coupling-constant space separating the supersymmetric from the non-supersymmetric phase. At finite temperature we encounter dimensional reduction from 3 to 2 dimensions in the infrared regime. We determine the finite-temperature phase diagram for the restoration of the global $Z_2$-symmetry and show that for temperatures above the $Z_2$ phase transition the pressure obeys the Stefan-Boltzmann law of a gas of massless bosons in 2+1 dimensions. |
hep-th/0610253 | Paul K. Townsend | K. Skenderis and P.K. Townsend | Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence | 11 pages, contribution to the proceedings of IRGAC 2006;v3: minor
changes | J.Phys.A40:6733-6742,2007 | 10.1088/1751-8113/40/25/S18 | DAMTP-2006-81, ITFA-2006-38 | hep-th | null | The correspondence between domain-wall and cosmological solutions of gravity
coupled to scalar fields is explained. Any domain wall solution that admits a
Killing spinor is shown to correspond to a cosmology that admits a
pseudo-Killing spinor: whereas the Killing spinor obeys a Dirac-type equation
with hermitian `mass'-matrix, the corresponding pseudo-Killing spinor obeys a
Dirac-type equation with a anti-hermitian `mass'-matrix. We comment on some
implications of (pseudo)supersymmetry.
| [
{
"created": "Mon, 23 Oct 2006 19:43:15 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2006 10:55:59 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Dec 2006 20:15:47 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Skenderis",
"K.",
""
],
[
"Townsend",
"P. K.",
""
]
] | The correspondence between domain-wall and cosmological solutions of gravity coupled to scalar fields is explained. Any domain wall solution that admits a Killing spinor is shown to correspond to a cosmology that admits a pseudo-Killing spinor: whereas the Killing spinor obeys a Dirac-type equation with hermitian `mass'-matrix, the corresponding pseudo-Killing spinor obeys a Dirac-type equation with a anti-hermitian `mass'-matrix. We comment on some implications of (pseudo)supersymmetry. |
0812.3423 | Brooks Thomas | Keith R. Dienes, Brooks Thomas | New Non-Trivial Vacuum Structures in Supersymmetric Field Theories | 9 pages, LaTeX, 4 figures, 1 table. Talk given by B.T. at the XIII
Mexican School of Particles and Fields, held in San Carlos, Mexico, October
2008 | AIP Conf.Proc.1116:391-396,2009 | 10.1063/1.3131581 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk, we present three examples of new non-trivial vacuum structures
that can occur in supersymmetric field theories, along with explicit models in
which they arise. The first vacuum structure is one in which supersymmetry is
broken at tree-level in a perturbative theory that also contains a
supersymmetry-preserving ground state. Models realizing this structure are
uniquely characterized by the fact that no flat directions appear in the
classical potential, all vacua appear at finite distances in field space, and
no non-perturbative physics is required for vacuum stability. The second
non-trivial vacuum structure we discuss consists of large (and even infinite)
towers of metastable vacua, and we show that models which give rise to such
vacuum towers exhibit a rich set of instanton-induced vacuum tunneling
dynamics. Finally, our third new non-trivial vacuum structure consists of an
infinite number of degenerate vacua; this leads to a Bloch-wave ground state
and a vacuum "band" structure. Models with such characteristics therefore
experience time-dependent vacuum oscillations. Needless to say, these novel
vacuum structures lead to many new potential applications for supersymmetric
field theories, ranging from the cosmological-constant problem to the string
landscape, supersymmetry breaking, and Z' phenomenology.
| [
{
"created": "Wed, 17 Dec 2008 23:24:47 GMT",
"version": "v1"
}
] | 2009-04-24 | [
[
"Dienes",
"Keith R.",
""
],
[
"Thomas",
"Brooks",
""
]
] | In this talk, we present three examples of new non-trivial vacuum structures that can occur in supersymmetric field theories, along with explicit models in which they arise. The first vacuum structure is one in which supersymmetry is broken at tree-level in a perturbative theory that also contains a supersymmetry-preserving ground state. Models realizing this structure are uniquely characterized by the fact that no flat directions appear in the classical potential, all vacua appear at finite distances in field space, and no non-perturbative physics is required for vacuum stability. The second non-trivial vacuum structure we discuss consists of large (and even infinite) towers of metastable vacua, and we show that models which give rise to such vacuum towers exhibit a rich set of instanton-induced vacuum tunneling dynamics. Finally, our third new non-trivial vacuum structure consists of an infinite number of degenerate vacua; this leads to a Bloch-wave ground state and a vacuum "band" structure. Models with such characteristics therefore experience time-dependent vacuum oscillations. Needless to say, these novel vacuum structures lead to many new potential applications for supersymmetric field theories, ranging from the cosmological-constant problem to the string landscape, supersymmetry breaking, and Z' phenomenology. |
hep-th/0401094 | Andrew Chamblin | Andrew Chamblin | Twistors and Holography | 4 pages revtex, clarifying remarks have been added, this is the
version published in Classical and Quantum Gravity | Class.Quant.Grav. 21 (2004) 2333-2338 | 10.1088/0264-9381/21/9/009 | null | hep-th | null | We extend Bousso's notion of a lightsheet - a surface where entropy can be
defined in a way so that the entropy bound is satisfied - to more general
surfaces. Intuitively these surfaces may be regarded as deformations of the
Bousso choice; in general, these deformations will be timelike and so we refer
to them as `timesheets'. We show that a timesheet corresponds to a section of a
certain twistor bundle over a given spacelike two-surface B. We further argue
that increasing the entropy flux through a given region corresponds to
increasing the volume of certain regions in twistor space. We further argue
that in twistor space, it might be possible to give a purely topological
characterization of a lightsheet, at least for suitably simple spacetimes.
| [
{
"created": "Tue, 13 Jan 2004 23:53:09 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 2004 15:27:10 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Chamblin",
"Andrew",
""
]
] | We extend Bousso's notion of a lightsheet - a surface where entropy can be defined in a way so that the entropy bound is satisfied - to more general surfaces. Intuitively these surfaces may be regarded as deformations of the Bousso choice; in general, these deformations will be timelike and so we refer to them as `timesheets'. We show that a timesheet corresponds to a section of a certain twistor bundle over a given spacelike two-surface B. We further argue that increasing the entropy flux through a given region corresponds to increasing the volume of certain regions in twistor space. We further argue that in twistor space, it might be possible to give a purely topological characterization of a lightsheet, at least for suitably simple spacetimes. |
0709.3664 | Semyon Klevtsov | S. Klevtsov | Connecting SLE and minisuperspace Liouville gravity | 12 pages, LaTeX | null | null | null | hep-th math-ph math.MP | null | We show that Fokker-Planck equation for chordal SLE process under a simple
rescaling of the probability density can be traced to the minisuperspace
Wheeler-de Witt equation for boundary operator in 2d Liouville gravity.
Insertion of an operator, calculating SLE critical exponent, corresponds to
adding matter contribution to WdW equation. This observation may be useful for
understanding of why SLE critical exponents are given by KPZ gravitational
scaling dimensions. Possible applications of the obtained relation are
discussed.
| [
{
"created": "Mon, 24 Sep 2007 19:01:32 GMT",
"version": "v1"
}
] | 2007-09-26 | [
[
"Klevtsov",
"S.",
""
]
] | We show that Fokker-Planck equation for chordal SLE process under a simple rescaling of the probability density can be traced to the minisuperspace Wheeler-de Witt equation for boundary operator in 2d Liouville gravity. Insertion of an operator, calculating SLE critical exponent, corresponds to adding matter contribution to WdW equation. This observation may be useful for understanding of why SLE critical exponents are given by KPZ gravitational scaling dimensions. Possible applications of the obtained relation are discussed. |
1201.0820 | Song He | Rong-Gen Cai, Song He, Danning Li | A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system | 27 pages, 11 figures, regular paper, add some comments and
references, accepted by JHEP | null | 10.1007/JHEP03(2012)033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By use of the potential reconstruction approach we obtain a series of
asymptotically AdS (aAdS) black hole solutions in an Einstein-Maxwell-Dilaton
(EMD) system. Basing on the solutions of the system, we reconstruct a
semi-analytical holographic QCD (hQCD) model with a quadratic term in warped
factor. We discuss some aspects of the hQCD model, in particular we calculate
the free energy of two static color sources (a heavy quark-antiquark pair)
which is an important order parameter to describe confinement/deconfinement
phase transition. The behavior of the free energy with respect to temperature
and chemical potential is studied. We find that in the hQCD model the
deconfinement phase transition can be realized and a critical point occurs. The
resulting phase diagram in the temperature-chemical potential $T-\mu$ plane is
in quite good agreement with the one from recent lattice results and effective
models of QCD.
| [
{
"created": "Wed, 4 Jan 2012 04:59:06 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Feb 2012 06:03:03 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Cai",
"Rong-Gen",
""
],
[
"He",
"Song",
""
],
[
"Li",
"Danning",
""
]
] | By use of the potential reconstruction approach we obtain a series of asymptotically AdS (aAdS) black hole solutions in an Einstein-Maxwell-Dilaton (EMD) system. Basing on the solutions of the system, we reconstruct a semi-analytical holographic QCD (hQCD) model with a quadratic term in warped factor. We discuss some aspects of the hQCD model, in particular we calculate the free energy of two static color sources (a heavy quark-antiquark pair) which is an important order parameter to describe confinement/deconfinement phase transition. The behavior of the free energy with respect to temperature and chemical potential is studied. We find that in the hQCD model the deconfinement phase transition can be realized and a critical point occurs. The resulting phase diagram in the temperature-chemical potential $T-\mu$ plane is in quite good agreement with the one from recent lattice results and effective models of QCD. |
0812.1657 | Mairi Sakellariadou | William Nelson and Mairi Sakellariadou | Cosmology and the Noncommutative approach to the Standard Model | 7 pages; slightly amended version to appear in Phys. Rev. D | Phys.Rev.D81:085038,2010 | 10.1103/PhysRevD.81.085038 | null | hep-th astro-ph gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study cosmological consequences of the noncommutative approach to the
standard model. Neglecting the nonminimal coupling of the Higgs field to the
curvature, noncommutative corrections to Einstein's equations are present only
for inhomogeneous and anisotropic space-times. Considering the nominimal
coupling however, we obtain corrections even for background cosmologies. A link
with dilatonic gravity as well as chameleon cosmology are briefly discussed,
and potential experimental consequences are mentioned.
| [
{
"created": "Tue, 9 Dec 2008 10:52:13 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 2010 12:38:31 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Apr 2010 15:29:00 GMT",
"version": "v3"
}
] | 2010-05-12 | [
[
"Nelson",
"William",
""
],
[
"Sakellariadou",
"Mairi",
""
]
] | We study cosmological consequences of the noncommutative approach to the standard model. Neglecting the nonminimal coupling of the Higgs field to the curvature, noncommutative corrections to Einstein's equations are present only for inhomogeneous and anisotropic space-times. Considering the nominimal coupling however, we obtain corrections even for background cosmologies. A link with dilatonic gravity as well as chameleon cosmology are briefly discussed, and potential experimental consequences are mentioned. |
1203.0612 | Sugumi Kanno | Sugumi Kanno, Misao Sasaki, Jiro Soda | Destabilizing Tachyonic Vacua at or above the BF Bound | 11 pages, 6 figures | Prog. Theor. Phys. 128 (2012), 213-226 | 10.1143/PTP.128.213 | YITP-12-11, KUNS-2386 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that tachyonic vacua in an asymptotically Anti-de Sitter
(AdS) space-time are classically stable if the mass squared is at or above the
Breitenlohner and Freedman (BF) bound. We study the quantum stability of these
tachyonic vacua in terms of instantons. We find a series of exact instanton
solutions destabilizing tachyonic state at or above the BF bound in
asymptotically AdS space. We also give an analytic formula for the decay rate
and show that it is finite. Comparing our result with the well-known algebraic
condition for the stability, we discuss stability conditions of tachyonic vacua
at or above the BF bound.
| [
{
"created": "Sat, 3 Mar 2012 06:29:00 GMT",
"version": "v1"
}
] | 2012-08-03 | [
[
"Kanno",
"Sugumi",
""
],
[
"Sasaki",
"Misao",
""
],
[
"Soda",
"Jiro",
""
]
] | It is well known that tachyonic vacua in an asymptotically Anti-de Sitter (AdS) space-time are classically stable if the mass squared is at or above the Breitenlohner and Freedman (BF) bound. We study the quantum stability of these tachyonic vacua in terms of instantons. We find a series of exact instanton solutions destabilizing tachyonic state at or above the BF bound in asymptotically AdS space. We also give an analytic formula for the decay rate and show that it is finite. Comparing our result with the well-known algebraic condition for the stability, we discuss stability conditions of tachyonic vacua at or above the BF bound. |
1907.11041 | Nina Javerzat | Nina Javerzat, Marco Picco, Raoul Santachiara | Two-point connectivity of two-dimensional critical $Q-$ Potts random
clusters on the torus | 23 pages, 6 figures. Results added in Section 5.2, Section 5.4 has
been clarified and some notation inconsistencies have been fixed | null | 10.1088/1742-5468/ab6331 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the two dimensional $Q-$ random-cluster Potts model on the torus
and at the critical point. We study the probability for two points to be
connected by a cluster for general values of $Q\in [1,4]$. Using a Conformal
Field Theory (CFT) approach, we provide the leading topological corrections to
the plane limit of this probability. These corrections have universal nature
and include, as a special case, the universality class of two-dimensional
critical percolation. We compare our predictions to Monte Carlo measurements.
Finally, we take Monte Carlo measurements of the torus energy one-point
function that we compare to CFT computations.
| [
{
"created": "Thu, 25 Jul 2019 13:37:22 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Dec 2019 08:46:17 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Javerzat",
"Nina",
""
],
[
"Picco",
"Marco",
""
],
[
"Santachiara",
"Raoul",
""
]
] | We consider the two dimensional $Q-$ random-cluster Potts model on the torus and at the critical point. We study the probability for two points to be connected by a cluster for general values of $Q\in [1,4]$. Using a Conformal Field Theory (CFT) approach, we provide the leading topological corrections to the plane limit of this probability. These corrections have universal nature and include, as a special case, the universality class of two-dimensional critical percolation. We compare our predictions to Monte Carlo measurements. Finally, we take Monte Carlo measurements of the torus energy one-point function that we compare to CFT computations. |
2005.08324 | Heliudson Bernardo | Heliudson Bernardo, Robert Brandenberger, Guilherme Franzmann | String Cosmology backgrounds from Classical String Geometry | 28 pages, 1 figure; references and appendix C added | Phys. Rev. D 103, 043540 (2021) | 10.1103/PhysRevD.103.043540 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a very early universe model based on the thermodynamics of a gas
of closed strings in a background which is non-perturbative in $\alpha'$. Upon
considering the fully $\alpha'$-corrected equations extended to include certain
anisotropic cosmological backgrounds, we describe the evolution of the system
in three different stages parametrized by the gas' equation of state. Using
standard string thermodynamical arguments, we start with an isotropic
10-dimensional universe inside the string scale and evolve it towards a
universe with four large spacetime dimensions and six stabilized internal
dimensions in the Einstein frame.
| [
{
"created": "Sun, 17 May 2020 18:04:36 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2021 17:38:43 GMT",
"version": "v2"
}
] | 2021-03-04 | [
[
"Bernardo",
"Heliudson",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Franzmann",
"Guilherme",
""
]
] | We introduce a very early universe model based on the thermodynamics of a gas of closed strings in a background which is non-perturbative in $\alpha'$. Upon considering the fully $\alpha'$-corrected equations extended to include certain anisotropic cosmological backgrounds, we describe the evolution of the system in three different stages parametrized by the gas' equation of state. Using standard string thermodynamical arguments, we start with an isotropic 10-dimensional universe inside the string scale and evolve it towards a universe with four large spacetime dimensions and six stabilized internal dimensions in the Einstein frame. |
1610.03624 | Diego Julio Cirilo-Lombardo | Diego Julio Cirilo-Lombardo | Relativistic dynamics, Green function and pseudodifferential operators | Revtex corrected version, 23 pages, figures only in published version
in JMP(2016) | J. Math. Phys. 57, 063503 (2016) | 10.1063/1.4953368 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The central role played by pseudodifferential operators in relativistic
dynamics is very well know. In this work, operators as the Schrodinger one
(e.g: square root) are treated from the point of view of the non-local
pseudodifferential Green functions. Starting from the explicit construction of
the Green (semigroup) theoretical kernel, a theorem linking the integrability
conditions and their dependence on the spacetime dimensions is given.
Relativistic wave equations with arbitrary spin and the causality problem are
discussed with the algebraic interpretation of the radical operator and their
relation with coherent and squeezed states. Also we perform by mean of pure
theoretical procedures (based in physical concepts and symmetry) the
relativistic position operator which satisfies the conditions of integrability
: it is non-local, Lorentz invariant and does not have the same problems as the
"local"position operator proposed by Newton and Wigner. Physical examples, as
Zitterbewegung and rogue waves, are presented and deeply analysed in this
theoretical framework.
| [
{
"created": "Wed, 12 Oct 2016 07:28:37 GMT",
"version": "v1"
}
] | 2016-10-19 | [
[
"Cirilo-Lombardo",
"Diego Julio",
""
]
] | The central role played by pseudodifferential operators in relativistic dynamics is very well know. In this work, operators as the Schrodinger one (e.g: square root) are treated from the point of view of the non-local pseudodifferential Green functions. Starting from the explicit construction of the Green (semigroup) theoretical kernel, a theorem linking the integrability conditions and their dependence on the spacetime dimensions is given. Relativistic wave equations with arbitrary spin and the causality problem are discussed with the algebraic interpretation of the radical operator and their relation with coherent and squeezed states. Also we perform by mean of pure theoretical procedures (based in physical concepts and symmetry) the relativistic position operator which satisfies the conditions of integrability : it is non-local, Lorentz invariant and does not have the same problems as the "local"position operator proposed by Newton and Wigner. Physical examples, as Zitterbewegung and rogue waves, are presented and deeply analysed in this theoretical framework. |
1402.1465 | Ricardo Troncoso | Alfredo Perez, David Tempo, Ricardo Troncoso | Brief review on higher spin black holes | 27 pages, no figures. Lecture given at the Seventh Aegean Summer
School, "Beyond Einstein's theory of gravity", Paros, Greece, September 2013.
To appear in Lect. Notes Phys. v2: typos corrected, references added and
updated | null | null | CECS-PHY-14/01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review some relevant results in the context of higher spin black holes in
three-dimensional spacetimes, focusing on their asymptotic behaviour and
thermodynamic properties. For simplicity, we mainly discuss the case of gravity
nonminimally coupled to spin-3 fields, being nonperturbatively described by a
Chern-Simons theory of two independent sl(3,R) gauge fields. Since the analysis
is particularly transparent in the Hamiltonian formalism, we provide a concise
discussion of their basic aspects in this context; and as a warming up
exercise, we briefly analyze the asymptotic behaviour of pure gravity, as well
as the BTZ black hole and its thermodynamics, exclusively in terms of gauge
fields. The discussion is then extended to the case of black holes endowed with
higher spin fields, briefly signaling the agreements and discrepancies found
through different approaches. We conclude explaining how the puzzles become
resolved once the fall off of the fields is precisely specified and extended to
include chemical potentials, in a way that it is compatible with the asymptotic
symmetries. Hence, the global charges become completely identified in an
unambiguous way, so that different sets of asymptotic conditions turn out to
contain inequivalent classes of black hole solutions being characterized by a
different set of global charges.
| [
{
"created": "Thu, 6 Feb 2014 19:42:17 GMT",
"version": "v1"
},
{
"created": "Mon, 12 May 2014 22:44:15 GMT",
"version": "v2"
}
] | 2014-05-14 | [
[
"Perez",
"Alfredo",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] | We review some relevant results in the context of higher spin black holes in three-dimensional spacetimes, focusing on their asymptotic behaviour and thermodynamic properties. For simplicity, we mainly discuss the case of gravity nonminimally coupled to spin-3 fields, being nonperturbatively described by a Chern-Simons theory of two independent sl(3,R) gauge fields. Since the analysis is particularly transparent in the Hamiltonian formalism, we provide a concise discussion of their basic aspects in this context; and as a warming up exercise, we briefly analyze the asymptotic behaviour of pure gravity, as well as the BTZ black hole and its thermodynamics, exclusively in terms of gauge fields. The discussion is then extended to the case of black holes endowed with higher spin fields, briefly signaling the agreements and discrepancies found through different approaches. We conclude explaining how the puzzles become resolved once the fall off of the fields is precisely specified and extended to include chemical potentials, in a way that it is compatible with the asymptotic symmetries. Hence, the global charges become completely identified in an unambiguous way, so that different sets of asymptotic conditions turn out to contain inequivalent classes of black hole solutions being characterized by a different set of global charges. |
hep-th/0304196 | Hernando Quevedo | Octavio Obregon, Leonardo Patino and Hernando Quevedo | Towards the entropy of gravity time-dependent models via the
Cardy-Verlinde formula | 13 pages | Phys.Rev. D68 (2003) 026002 | 10.1103/PhysRevD.68.026002 | ICN-02-03 | hep-th gr-qc | null | For models with several time-dependent components generalized entropies can
be defined. This is shown for the Bianchi type IX model. We first derive the
Cardy-Verlinde formula under the assumption that the first law of
thermodynamics is valid. This leads to an explicit expression of the total
entropy associated with this type of universes. Assuming the validity of the
Cardy entropy formula, we obtain expressions for the corresponding Bekenstein,
Bekenstein-Hawking and Hubble entropies. We discuss the validity of the
Cardy-Verlinde formula and possible extensions of the outlined procedure to
other time-dependent models.
| [
{
"created": "Wed, 23 Apr 2003 15:25:31 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Obregon",
"Octavio",
""
],
[
"Patino",
"Leonardo",
""
],
[
"Quevedo",
"Hernando",
""
]
] | For models with several time-dependent components generalized entropies can be defined. This is shown for the Bianchi type IX model. We first derive the Cardy-Verlinde formula under the assumption that the first law of thermodynamics is valid. This leads to an explicit expression of the total entropy associated with this type of universes. Assuming the validity of the Cardy entropy formula, we obtain expressions for the corresponding Bekenstein, Bekenstein-Hawking and Hubble entropies. We discuss the validity of the Cardy-Verlinde formula and possible extensions of the outlined procedure to other time-dependent models. |
1706.06887 | Omar Zanusso | Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca, Omar Zanusso | New universality class in three dimensions: The critical Blume-Capel
model | 5 pages, 1 figure, v2: new title, extended introduction, to appear in
PRD | Phys. Rev. D 96, 081701 (2017) | 10.1103/PhysRevD.96.081701 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Blume-Capel universality class in $d=\frac{10}{3}-\epsilon$
dimensions. The RG flow is extracted by looking at poles in fractional
dimension of three loop diagrams using $\overline{\rm MS}$. The theory is the
only nontrivial universality class which admits an expansion to three
dimensions with $\epsilon=\frac{1}{3}<1$. We compute the relevant scaling
exponents and estimate some of the OPE coefficients to the leading order. Our
findings agree with and complement CFT results. Finally we discuss a family of
nonunitary multicritical models which includes the Lee-Yang and Blume-Capel
classes as special cases.
| [
{
"created": "Wed, 21 Jun 2017 13:20:41 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Sep 2017 13:23:04 GMT",
"version": "v2"
}
] | 2017-10-11 | [
[
"Codello",
"Alessandro",
""
],
[
"Safari",
"Mahmoud",
""
],
[
"Vacca",
"Gian Paolo",
""
],
[
"Zanusso",
"Omar",
""
]
] | We study the Blume-Capel universality class in $d=\frac{10}{3}-\epsilon$ dimensions. The RG flow is extracted by looking at poles in fractional dimension of three loop diagrams using $\overline{\rm MS}$. The theory is the only nontrivial universality class which admits an expansion to three dimensions with $\epsilon=\frac{1}{3}<1$. We compute the relevant scaling exponents and estimate some of the OPE coefficients to the leading order. Our findings agree with and complement CFT results. Finally we discuss a family of nonunitary multicritical models which includes the Lee-Yang and Blume-Capel classes as special cases. |
hep-th/0702010 | Kofinas Georgios | Georgios Kofinas, Theodore Tomaras | Gravitating defects of codimension-two | Minor changes, to appear in Classical and Quantum Gravity | Class.Quant.Grav.24:5861-5867,2007 | 10.1088/0264-9381/24/23/009 | null | hep-th gr-qc | null | Thin gravitating defects with conical singularities in higher codimensions
and with generalized Israel matching conditions are known to be inconsistent
for generic energy-momentum. A way to remove this inconsistency is proposed and
is realized for an axially symmetric gravitating codimension-two defect in six
dimensional Einstein gravity. By varying with respect to the brane embedding
fields, alternative matching conditions are derived, which are generalizations
of the Nambu-Goto equations of motion of the defect, consistent with bulk
gravity. For a maximally symmetric defect the standard picture is recovered.
The four-dimensional perfect fluid cosmology coincides with conventional FRW in
the case of radiation, but for dust it has rho^{4/3} instead of rho. A
four-dimensional black hole solution is presented having the Schwarzschild form
with a short-distance correction r^{-2}.
| [
{
"created": "Thu, 1 Feb 2007 17:45:25 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2007 13:55:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kofinas",
"Georgios",
""
],
[
"Tomaras",
"Theodore",
""
]
] | Thin gravitating defects with conical singularities in higher codimensions and with generalized Israel matching conditions are known to be inconsistent for generic energy-momentum. A way to remove this inconsistency is proposed and is realized for an axially symmetric gravitating codimension-two defect in six dimensional Einstein gravity. By varying with respect to the brane embedding fields, alternative matching conditions are derived, which are generalizations of the Nambu-Goto equations of motion of the defect, consistent with bulk gravity. For a maximally symmetric defect the standard picture is recovered. The four-dimensional perfect fluid cosmology coincides with conventional FRW in the case of radiation, but for dust it has rho^{4/3} instead of rho. A four-dimensional black hole solution is presented having the Schwarzschild form with a short-distance correction r^{-2}. |
1404.5625 | Vasco Gon\c{c}alves | Miguel S. Costa, Vasco Goncalves, Joao Penedones | Spinning AdS Propagators | 48 pages, 6 figures | null | 10.1007/JHEP09(2014)064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the embedding formalism to describe symmetric traceless tensors in
Anti-de Sitter space. We use this formalism to construct the bulk-to-bulk
propagator of massive spin J fields and check that it has the expected short
distance and massless limits. We also and a split representation for the
bulk-to-bulk propagator, by writing it as an integral over the boundary of the
product of two bulk-to-boundary propagators. We exemplify the use of this
representation with the computation of the conformal partial wave decomposition
of Witten diagrams. In particular, we determine the Mellin amplitude associated
to AdS graviton exchange between minimally coupled scalars of general
dimension, including the regular part of the amplitude.
| [
{
"created": "Tue, 22 Apr 2014 20:00:16 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Costa",
"Miguel S.",
""
],
[
"Goncalves",
"Vasco",
""
],
[
"Penedones",
"Joao",
""
]
] | We develop the embedding formalism to describe symmetric traceless tensors in Anti-de Sitter space. We use this formalism to construct the bulk-to-bulk propagator of massive spin J fields and check that it has the expected short distance and massless limits. We also and a split representation for the bulk-to-bulk propagator, by writing it as an integral over the boundary of the product of two bulk-to-boundary propagators. We exemplify the use of this representation with the computation of the conformal partial wave decomposition of Witten diagrams. In particular, we determine the Mellin amplitude associated to AdS graviton exchange between minimally coupled scalars of general dimension, including the regular part of the amplitude. |
2111.12365 | Chris Ripken | Benjamin Knorr, Chris Ripken and Frank Saueressig | Form Factors in Quantum Gravity - contrasting non-local, ghost-free
gravity and Asymptotic Safety | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Form factors constitute the key building block when organising the
gravitational dynamics in terms of a curvature expansion. They generalise the
concept of momentum-dependent couplings to curved spacetime. Moreover, they may
capture modifications of the gravitational interactions at high energy scales
in a non-perturbative way. We briefly review the role of form factors in
various quantum gravity programmes with special emphasis on non-local,
ghost-free gravity and asymptotically safe gravity. In this context, we
introduce a quantum gravity motivated scalar toy model, which demonstrates that
Lorentzian asymptotic safety may be compatible with the causal propagation of
gravitons.
| [
{
"created": "Wed, 24 Nov 2021 09:36:03 GMT",
"version": "v1"
}
] | 2021-11-25 | [
[
"Knorr",
"Benjamin",
""
],
[
"Ripken",
"Chris",
""
],
[
"Saueressig",
"Frank",
""
]
] | Form factors constitute the key building block when organising the gravitational dynamics in terms of a curvature expansion. They generalise the concept of momentum-dependent couplings to curved spacetime. Moreover, they may capture modifications of the gravitational interactions at high energy scales in a non-perturbative way. We briefly review the role of form factors in various quantum gravity programmes with special emphasis on non-local, ghost-free gravity and asymptotically safe gravity. In this context, we introduce a quantum gravity motivated scalar toy model, which demonstrates that Lorentzian asymptotic safety may be compatible with the causal propagation of gravitons. |
hep-th/0301202 | Maryam Soltani | M. R. Setare | Casimir effect in Domain Wall formation | 9 pages, 2 eps figures | Int.J.Mod.Phys. A18 (2003) 4285-4294 | 10.1142/S0217751X03015131 | IPM/P-2003/005 | hep-th | null | The Casimir forces on two parallel plates in conformally flat de Sitter
background due to conformally coupled massless scalar field satisfying mixed
boundary conditions on the plates is investigated. In the general case of mixed
boundary conditions formulae are derived for the vacuum expectation values of
the energy-momentum tensor and vacuum forces acting on boundaries.
Different cosmological constants are assumed for the space between and
outside of the plates to have general results applicable to the case of domain
wall formations in the early universe.
| [
{
"created": "Sat, 25 Jan 2003 04:09:48 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Setare",
"M. R.",
""
]
] | The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation values of the energy-momentum tensor and vacuum forces acting on boundaries. Different cosmological constants are assumed for the space between and outside of the plates to have general results applicable to the case of domain wall formations in the early universe. |
1601.06926 | Yunfeng Jiang | Yunfeng Jiang | Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light
Operator | typos corrected, references added | null | 10.1007/JHEP01(2017)021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the asymptotic volume dependence of the heavy-heavy-light
three-point functions in the $\mathcal{N}=4$ Super-Yang-Mills theory using the
hexagon bootstrap approach, where the volume is the length of the heavy
operator. We extend the analysis of our previous short letter 1511.06199 to the
general case where the heavy operators can be in any rank one sector and the
light operator being a generic non-BPS operator. We prove the conjecture of
Bajnok, Janik and Wereszczynski 1404.4556 up to leading finite size
corrections.
| [
{
"created": "Tue, 26 Jan 2016 08:43:33 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2016 09:09:49 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Jiang",
"Yunfeng",
""
]
] | We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the $\mathcal{N}=4$ Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter 1511.06199 to the general case where the heavy operators can be in any rank one sector and the light operator being a generic non-BPS operator. We prove the conjecture of Bajnok, Janik and Wereszczynski 1404.4556 up to leading finite size corrections. |
2001.03574 | Mykola Stetsko | M. M. Stetsko | Static topological black hole with nonminimal derivative coupling and
nonlinear electromagnetic field of Born-Infeld type | 23 pages, 4 figures, revised version | Phys. Rev. D 101, 104004 (2020) | 10.1103/PhysRevD.101.104004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider scalar-tensor gravity with nonminimal derivative coupling and
Born-Infeld electromagnetic field which is minimally coupled to gravity. Since
cosmological constant is taken into account it allowed us not only derive
static black hole with spherical horizon but also to obtain topological
solutions with non-spherical horizons. The obtained metrics are thoroughly
analyzed, namely for different distances and types of topology of horizon. To
investigate singularities of the metrics Kretschmann scalar is used and it is
shown that the character of singularity depends on the type of topology of
horizon and dimension of space. We also investigate black hole's
thermodynamics, namely we obtain and examine black hole's temperature. To
derive the first law of black hole's thermodynamics Wald's approach is applied.
Nonetheless this approach is well established, there is ambiguity in definition
of black hole's entropy which can be resolved just by virtue of some
independent approach.
| [
{
"created": "Fri, 10 Jan 2020 17:35:44 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2020 14:02:08 GMT",
"version": "v2"
}
] | 2020-05-22 | [
[
"Stetsko",
"M. M.",
""
]
] | We consider scalar-tensor gravity with nonminimal derivative coupling and Born-Infeld electromagnetic field which is minimally coupled to gravity. Since cosmological constant is taken into account it allowed us not only derive static black hole with spherical horizon but also to obtain topological solutions with non-spherical horizons. The obtained metrics are thoroughly analyzed, namely for different distances and types of topology of horizon. To investigate singularities of the metrics Kretschmann scalar is used and it is shown that the character of singularity depends on the type of topology of horizon and dimension of space. We also investigate black hole's thermodynamics, namely we obtain and examine black hole's temperature. To derive the first law of black hole's thermodynamics Wald's approach is applied. Nonetheless this approach is well established, there is ambiguity in definition of black hole's entropy which can be resolved just by virtue of some independent approach. |
1305.3653 | Jelle Hartong | Jelle Hartong, Blaise Rollier | Particle Number and 3D Schroedinger Holography | 56 pages, v3: matches version published in JHEP | null | 10.1007/JHEP09(2014)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a class of space-times that we call asymptotically locally
Schroedinger space-times. We consider these space-times in 3 dimensions, in
which case they are also known as null warped AdS. The boundary conditions are
formulated in terms of a specific frame field decomposition of the metric which
contains two parts: an asymptotically locally AdS metric and a product of a
lightlike frame field with itself. Asymptotically we say that the lightlike
frame field is proportional to the particle number generator N regardless of
whether N is an asymptotic Killing vector or not.
We consider 3-dimensional AlSch space-times that are solutions of the massive
vector model. We show that there is no universal Fefferman-Graham (FG) type
expansion for the most general solution to the equations of motion. We show
that this is intimately connected with the special role played by particle
number. Fefferman-Graham type expansions are recovered if we supplement the
equations of motion with suitably chosen constraints. We consider three
examples. 1). The massive vector field is null everywhere. The solution in this
case is exact as the FG series terminates and has N as a null Killing vector.
2). N is a Killing vector (but not necessarily null). 3). N is null everywhere
(but not necessarily Killing). The latter case contains the first examples of
solutions that break particle number, either on the boundary directly or only
in the bulk. Finally, we comment on the implications for the problem of
holographic renormalization for asymptotically locally Schroedinger
space-times.
| [
{
"created": "Wed, 15 May 2013 22:44:59 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 14:03:01 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Sep 2014 09:27:12 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Hartong",
"Jelle",
""
],
[
"Rollier",
"Blaise",
""
]
] | We define a class of space-times that we call asymptotically locally Schroedinger space-times. We consider these space-times in 3 dimensions, in which case they are also known as null warped AdS. The boundary conditions are formulated in terms of a specific frame field decomposition of the metric which contains two parts: an asymptotically locally AdS metric and a product of a lightlike frame field with itself. Asymptotically we say that the lightlike frame field is proportional to the particle number generator N regardless of whether N is an asymptotic Killing vector or not. We consider 3-dimensional AlSch space-times that are solutions of the massive vector model. We show that there is no universal Fefferman-Graham (FG) type expansion for the most general solution to the equations of motion. We show that this is intimately connected with the special role played by particle number. Fefferman-Graham type expansions are recovered if we supplement the equations of motion with suitably chosen constraints. We consider three examples. 1). The massive vector field is null everywhere. The solution in this case is exact as the FG series terminates and has N as a null Killing vector. 2). N is a Killing vector (but not necessarily null). 3). N is null everywhere (but not necessarily Killing). The latter case contains the first examples of solutions that break particle number, either on the boundary directly or only in the bulk. Finally, we comment on the implications for the problem of holographic renormalization for asymptotically locally Schroedinger space-times. |
1702.06048 | Jan Gutowski | J. B. Gutowski and G. Papadopoulos | On supersymmetric AdS6 solutions in 10 and 11 dimensions | 26 pages, latex | null | 10.1007/JHEP12(2017)009 | DMUS--MP--17/04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove a non-existence theorem for smooth, supersymmetric, warped AdS6
solutions with connected, compact without boundary internal space in D=11 and
(massive) IIA supergravities. In IIB supergravity we show that if such AdS6
solutions exist, then the NSNS and RR 3-form fluxes must be linearly
independent and certain spinor bi-linears must be appropriately restricted.
Moreover we demonstrate that the internal space admits an so(3) action which
leaves all the fields invariant and for smooth solutions the principal orbits
must have co-dimension two. We also describe the topology and geometry of
internal spaces that admit such a so(3) action and show that there are no
solutions for which the internal space has topology F * S^2, where F is an
oriented surface.
| [
{
"created": "Mon, 20 Feb 2017 16:18:34 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Gutowski",
"J. B.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We prove a non-existence theorem for smooth, supersymmetric, warped AdS6 solutions with connected, compact without boundary internal space in D=11 and (massive) IIA supergravities. In IIB supergravity we show that if such AdS6 solutions exist, then the NSNS and RR 3-form fluxes must be linearly independent and certain spinor bi-linears must be appropriately restricted. Moreover we demonstrate that the internal space admits an so(3) action which leaves all the fields invariant and for smooth solutions the principal orbits must have co-dimension two. We also describe the topology and geometry of internal spaces that admit such a so(3) action and show that there are no solutions for which the internal space has topology F * S^2, where F is an oriented surface. |
hep-th/0209181 | Gungwon Kang | Takayuki Hirayama, Gungwon Kang, and Youngone Lee | Classical Stability of Charged Black Branes and the Gubser-Mitra
Conjecture | 19 pages, 3 figures, revtex | Phys.Rev.D67:024007,2003 | 10.1103/PhysRevD.67.024007 | KEK-TH-832 | hep-th gr-qc | null | We have investigated the classical stability of magnetically charged black
$p$-brane solutions for string theories that include the case studied by
Gregory and Laflamme. It turns out that the stability behaves very differently
depending on a coupling parameter between dilaton and gauge fields. In the case
of Gregory and Laflamme, it has been known that the black brane instability
decreases monotonically as the charge of black branes increases and finally
disappears at the extremal point. For more general cases we found that, when
the coupling parameter is small, black brane solutions become stable even
before reaching to the extremal point. On the other hand, when the coupling
parameter is large, black branes are always unstable and moreover the
instability does not continue to decrease, but starts to increase again as they
approach to the extremal point. However all extremal black branes are shown to
be stable even in this case. It has also been shown that main features of the
classical stability are in good agreement with the local thermodynamic behavior
of the corresponding black hole system through the Gubser-Mitra conjecture.
Some implications of our results are also discussed.
| [
{
"created": "Mon, 23 Sep 2002 07:00:04 GMT",
"version": "v1"
}
] | 2009-01-06 | [
[
"Hirayama",
"Takayuki",
""
],
[
"Kang",
"Gungwon",
""
],
[
"Lee",
"Youngone",
""
]
] | We have investigated the classical stability of magnetically charged black $p$-brane solutions for string theories that include the case studied by Gregory and Laflamme. It turns out that the stability behaves very differently depending on a coupling parameter between dilaton and gauge fields. In the case of Gregory and Laflamme, it has been known that the black brane instability decreases monotonically as the charge of black branes increases and finally disappears at the extremal point. For more general cases we found that, when the coupling parameter is small, black brane solutions become stable even before reaching to the extremal point. On the other hand, when the coupling parameter is large, black branes are always unstable and moreover the instability does not continue to decrease, but starts to increase again as they approach to the extremal point. However all extremal black branes are shown to be stable even in this case. It has also been shown that main features of the classical stability are in good agreement with the local thermodynamic behavior of the corresponding black hole system through the Gubser-Mitra conjecture. Some implications of our results are also discussed. |
hep-th/9912232 | Gregory Gabadadze | Borut Bajc, Gregory Gabadadze | Localization of Matter and Cosmological Constant on a Brane in Anti de
Sitter Space | 15 pages, LaTex file; references added | Phys.Lett. B474 (2000) 282-291 | 10.1016/S0370-2693(00)00055-1 | NYU-TH/99/10/02 | hep-th hep-ph | null | We study two issues, the localization of various spin fields, and the problem
of the cosmological constant on a brane in five-dimensional anti de Sitter
space. We find that spin-zero fields are localized on a positive-tension brane.
In addition to the localized zero-mode there is a continuous tower of states
with no mass gap. Spin one-half and three-half states can be localized on a
brane with ``negative tension''. Their localization can be achieved on the
positive-tension brane as well, if additional interactions are introduced. The
necessary ingredient of the scenario with localized gravity is the relation
between the bulk cosmological constant and the brane tension. In the absence of
supersymmetry this implies fine-tuning between the parameters of the theory. To
deal with this issue we introduce a four-form gauge field. This gives an
additional arbitrary contribution to the bulk cosmological constant. As a
result, the model gives rise to a continuous family of brane Universe solutions
for generic values of the bulk cosmological constant and the brane tension.
Among these solutions there is one with a zero four-dimensional cosmological
constant.
| [
{
"created": "Thu, 23 Dec 1999 04:24:54 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Dec 1999 00:15:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bajc",
"Borut",
""
],
[
"Gabadadze",
"Gregory",
""
]
] | We study two issues, the localization of various spin fields, and the problem of the cosmological constant on a brane in five-dimensional anti de Sitter space. We find that spin-zero fields are localized on a positive-tension brane. In addition to the localized zero-mode there is a continuous tower of states with no mass gap. Spin one-half and three-half states can be localized on a brane with ``negative tension''. Their localization can be achieved on the positive-tension brane as well, if additional interactions are introduced. The necessary ingredient of the scenario with localized gravity is the relation between the bulk cosmological constant and the brane tension. In the absence of supersymmetry this implies fine-tuning between the parameters of the theory. To deal with this issue we introduce a four-form gauge field. This gives an additional arbitrary contribution to the bulk cosmological constant. As a result, the model gives rise to a continuous family of brane Universe solutions for generic values of the bulk cosmological constant and the brane tension. Among these solutions there is one with a zero four-dimensional cosmological constant. |
0805.3373 | Akifumi Sako | Yoshiaki Maeda, Akifumi Sako | Noncommutative Deformation of Instantons | 13 pages, no figures, some references and comments are added | J.Geom.Phys.58:1784-1791,2008 | 10.1016/j.geomphys.2008.08.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct instanton solutions on noncommutative Euclidean 4-space which
are deformations of instanton solutions on commutative Euclidean 4-space. We
show that the instanton numbers of these noncommutative instanton solutions
coincide with the commutative solutions and conjecture that the instanton
number in R^4 is preserved for general noncommutative deformations. We also
study noncommutative deformation of instanton solutions on a T^4 with twisted
boundary conditions.
| [
{
"created": "Thu, 22 May 2008 00:13:24 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2008 07:10:25 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Maeda",
"Yoshiaki",
""
],
[
"Sako",
"Akifumi",
""
]
] | We construct instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R^4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T^4 with twisted boundary conditions. |
1407.2601 | Ruslan Metsaev | R.R. Metsaev | BRST invariant effective action of shadow fields, conformal fields, and
AdS/CFT | LaTeX-2e, 20 pages, v2: Typo in Eq.(4.9) corrected, reference 38
updated | Theor.Math.Phys. 181 (2014) 3, 1548-1565 | 10.1007/s11232-014-0235-1 | FIAN-TD-2014-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Totally symmetric arbitrary spin massless and massive fields in AdS space are
studied. For such fields, we obtain Lagrangians which are invariant under
global BRST transformations. The Lagrangians are used for computation of
partition functions and effective actions. We demonstrate that BRST invariant
bulk action for massless field evaluated on the solution of Dirichlet problem
for gauge massless fields and Faddeev-Popov fields leads to BRST invariant
effective action for canonical shadow gauge fields and shadow Faddeev-Popov
fields, while the BRST invariant bulk action for massive field evaluated on the
solution of Dirichlet problem for gauge massive fields and Faddeev-Popov fields
leads to BRST invariant effective action for anomalous shadow gauge fields and
shadow Faddeev-Popov fields. The leading logarithmic divergence of the
regularized effective action for the canonical shadow field leads to simple
BRST invariant action of conformal field. We demonstrate that the
Nakanishi-Laudrup fields entering the BRST invariant Lagrangian of conformal
field can geometrically be interpreted as boundary values of massless AdS
fields.
| [
{
"created": "Wed, 9 Jul 2014 19:53:28 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2014 16:42:48 GMT",
"version": "v2"
}
] | 2015-01-13 | [
[
"Metsaev",
"R. R.",
""
]
] | Totally symmetric arbitrary spin massless and massive fields in AdS space are studied. For such fields, we obtain Lagrangians which are invariant under global BRST transformations. The Lagrangians are used for computation of partition functions and effective actions. We demonstrate that BRST invariant bulk action for massless field evaluated on the solution of Dirichlet problem for gauge massless fields and Faddeev-Popov fields leads to BRST invariant effective action for canonical shadow gauge fields and shadow Faddeev-Popov fields, while the BRST invariant bulk action for massive field evaluated on the solution of Dirichlet problem for gauge massive fields and Faddeev-Popov fields leads to BRST invariant effective action for anomalous shadow gauge fields and shadow Faddeev-Popov fields. The leading logarithmic divergence of the regularized effective action for the canonical shadow field leads to simple BRST invariant action of conformal field. We demonstrate that the Nakanishi-Laudrup fields entering the BRST invariant Lagrangian of conformal field can geometrically be interpreted as boundary values of massless AdS fields. |
hep-th/0205275 | Isao Kishimoto | Isao Kishimoto, Tomohiko Takahashi | Open String Field Theory around Universal Solutions | 14 pages, LaTeX with ptptex.cls, typos corrected | Prog.Theor.Phys. 108 (2002) 591-602 | 10.1143/PTP.108.591 | null | hep-th | null | We study the physical spectrum of cubic open string field theory around
universal solutions, which are constructed using the matter Virasoro operators
and the ghost and anti-ghost fields. We find the cohomology of the new BRS
charge around the solutions, which appear with a ghost number that differs from
that of the original theory. Considering the gauge-unfixed string field theory,
we conclude that open string excitations perturbatively disappear after the
condensation of the string field to the solutions.
| [
{
"created": "Mon, 27 May 2002 09:39:25 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2002 01:19:59 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kishimoto",
"Isao",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] | We study the physical spectrum of cubic open string field theory around universal solutions, which are constructed using the matter Virasoro operators and the ghost and anti-ghost fields. We find the cohomology of the new BRS charge around the solutions, which appear with a ghost number that differs from that of the original theory. Considering the gauge-unfixed string field theory, we conclude that open string excitations perturbatively disappear after the condensation of the string field to the solutions. |
hep-th/0412237 | Claudio Scrucca | Claudio A. Scrucca | Mediation of supersymmetry breaking in extra dimensions | LaTex, 15 pages; brief review prepared for MPLA. v2: minor
corrections | Mod.Phys.Lett. A20 (2005) 297-312 | 10.1142/S0217732305016750 | NEIP/04-10 | hep-th | null | We review the mechanisms of supersymmetry breaking mediation that occur in
sequestered models, where the visible and the hidden sectors are separated by
an extra dimension and communicate only via gravitational interactions. By
locality, soft breaking terms are forbidden at the classical level and reliably
computable within an effective field theory approach at the quantum level. We
present a self-contained discussion of these radiative gravitational effects
and the resulting pattern of soft masses, and give an overview of realistic
model building based on this set-up. We consider both flat and warped extra
dimensions, as well as the possibility that there be localized kinetic terms
for the gravitational fields.
| [
{
"created": "Mon, 20 Dec 2004 19:02:23 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2005 14:13:58 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Scrucca",
"Claudio A.",
""
]
] | We review the mechanisms of supersymmetry breaking mediation that occur in sequestered models, where the visible and the hidden sectors are separated by an extra dimension and communicate only via gravitational interactions. By locality, soft breaking terms are forbidden at the classical level and reliably computable within an effective field theory approach at the quantum level. We present a self-contained discussion of these radiative gravitational effects and the resulting pattern of soft masses, and give an overview of realistic model building based on this set-up. We consider both flat and warped extra dimensions, as well as the possibility that there be localized kinetic terms for the gravitational fields. |
1711.05193 | Tib\'erio de Paula Netto | Tib\'erio de Paula Netto | One-loop renormalization of Lorentz/CPT violating scalar field theory in
curved space-time | 27 pages | Phys. Rev. D 97, 055048 (2018) | 10.1103/PhysRevD.97.055048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The one-loop divergences for the scalar field theory with Lorentz and/or CPT
breaking terms are obtained in curved space-time. We analyze two separate
cases: minimal coupled scalar field with gravity and nonminimal one. For the
minimal case with real scalar field, the counterterms are evaluated in a
nonperturbative form in the CPT-even parameter through a redefinition of
space-time metric. In the most complicated case of complex scalar field
nonminimally interacting with gravity, the solution for the divergences is
obtained in the first order in the weak Lorentz violating parameter. The
necessary form of the vacuum counterterms indicate the most important
structures of Lorentz/CPT violations in the pure gravitational sector of
theory. The conformal theory limit is also analyzed. It turns out that if we
allow the violating fields to transform, the classical conformal invariance of
massless scalar fields can be maintained in the $\,\xi = 1/6\,$ case. At
quantum level the conformal symmetry is violated by trace anomaly. As a result,
conformal anomaly and the anomaly-induced effective action are evaluated in the
presence of extra Lorentz- and/or CPT-violating parameters. Such gravitational
effective action is important for cosmological applications and can be used for
searching of Lorentz violation in primordial universe in the cosmological
perturbations, especially gravitational waves.
| [
{
"created": "Tue, 14 Nov 2017 16:57:44 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Netto",
"Tibério de Paula",
""
]
] | The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved space-time. We analyze two separate cases: minimal coupled scalar field with gravity and nonminimal one. For the minimal case with real scalar field, the counterterms are evaluated in a nonperturbative form in the CPT-even parameter through a redefinition of space-time metric. In the most complicated case of complex scalar field nonminimally interacting with gravity, the solution for the divergences is obtained in the first order in the weak Lorentz violating parameter. The necessary form of the vacuum counterterms indicate the most important structures of Lorentz/CPT violations in the pure gravitational sector of theory. The conformal theory limit is also analyzed. It turns out that if we allow the violating fields to transform, the classical conformal invariance of massless scalar fields can be maintained in the $\,\xi = 1/6\,$ case. At quantum level the conformal symmetry is violated by trace anomaly. As a result, conformal anomaly and the anomaly-induced effective action are evaluated in the presence of extra Lorentz- and/or CPT-violating parameters. Such gravitational effective action is important for cosmological applications and can be used for searching of Lorentz violation in primordial universe in the cosmological perturbations, especially gravitational waves. |
2205.09704 | Pavel Buividovich Dr. | P. V. Buividovich | Quantum chaos in supersymmetric quantum mechanics: an exact
diagonalization study | 25 pages, 13 figures, RevTeX4; v2: version accepted for publication
in Phys. Rev. D | Phys. Rev. D 106 (2022) 046001 | 10.1103/PhysRevD.106.046001 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use exact diagonalization to study energy level statistics and
out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension
$\hat{H}_S = \hat{H}_B \otimes I + \hat{x}_1 \otimes \sigma_1 + \hat{x}_2
\otimes \sigma_3$ of the bosonic Hamiltonian $\hat{H}_B = \hat{p}_1^2 +
\hat{p}_2^2 + \hat{x}_1^2 \, \hat{x}_2^2$. For a long time, this bosonic
Hamiltonian was considered one of the simplest systems which exhibit dynamical
chaos both classically and quantum-mechanically. Its structure closely
resembles that of spatially compactified pure Yang-Mills theory.
Correspondingly, the structure of our supersymmetric Hamiltonian is similar to
that of spatially compactified supersymmetric Yang-Mills theory, also known as
the BFSS model. We present numerical evidence that a continuous energy spectrum
of the supersymmetric model leads to monotonous growth of OTOCs down to the
lowest temperatures, which is also expected for the BFSS model from holographic
duality. This growth is saturated by low-energy eigenstates with effectively
one-dimensional wave functions and a completely non-chaotic energy level
distribution. We observe a sharp boundary separating these low-energy states
from the bulk of chaotic high-energy states. Our data suggests, although with a
limited confidence, that at low temperatures the OTOC growth might be
exponential over a finite range of time, with the corresponding Lyapunov
exponent scaling linearly with temperature. In contrast, the gapped low-energy
spectrum of the bosonic Hamiltonian leads to oscillating OTOCs at low
temperatures without any signatures of exponential growth. We also find that
the OTOCs for the bosonic Hamiltonian are never sufficiently close to the
classical Lyapunov distance. On the other hand, the OTOCs for the
supersymmetric system agree with the classical limit reasonably well over a
finite range of temperatures and evolution times.
| [
{
"created": "Thu, 19 May 2022 17:16:27 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2022 10:27:48 GMT",
"version": "v2"
}
] | 2022-08-02 | [
[
"Buividovich",
"P. V.",
""
]
] | We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension $\hat{H}_S = \hat{H}_B \otimes I + \hat{x}_1 \otimes \sigma_1 + \hat{x}_2 \otimes \sigma_3$ of the bosonic Hamiltonian $\hat{H}_B = \hat{p}_1^2 + \hat{p}_2^2 + \hat{x}_1^2 \, \hat{x}_2^2$. For a long time, this bosonic Hamiltonian was considered one of the simplest systems which exhibit dynamical chaos both classically and quantum-mechanically. Its structure closely resembles that of spatially compactified pure Yang-Mills theory. Correspondingly, the structure of our supersymmetric Hamiltonian is similar to that of spatially compactified supersymmetric Yang-Mills theory, also known as the BFSS model. We present numerical evidence that a continuous energy spectrum of the supersymmetric model leads to monotonous growth of OTOCs down to the lowest temperatures, which is also expected for the BFSS model from holographic duality. This growth is saturated by low-energy eigenstates with effectively one-dimensional wave functions and a completely non-chaotic energy level distribution. We observe a sharp boundary separating these low-energy states from the bulk of chaotic high-energy states. Our data suggests, although with a limited confidence, that at low temperatures the OTOC growth might be exponential over a finite range of time, with the corresponding Lyapunov exponent scaling linearly with temperature. In contrast, the gapped low-energy spectrum of the bosonic Hamiltonian leads to oscillating OTOCs at low temperatures without any signatures of exponential growth. We also find that the OTOCs for the bosonic Hamiltonian are never sufficiently close to the classical Lyapunov distance. On the other hand, the OTOCs for the supersymmetric system agree with the classical limit reasonably well over a finite range of temperatures and evolution times. |
0707.0052 | Domenico Seminara | Gianluca Grignani (Perugia U., INFN), Luca Griguolo (Parma U., INFN),
Nicola Mori (Firenze U., INFN) and Domenico Seminara (Firenze U., INFN) | Thermodynamics of theories with sixteen supercharges in non-trivial
vacua | 66 pages, 7 figure eps, References added and minor changes | JHEP 0710:068,2007 | 10.1088/1126-6708/2007/10/068 | null | hep-th | null | We study the thermodynamics of maximally supersymmetric U(N) Yang-Mills
theory on $\mathds{R}\times S^2$ at large $N$. The model arises as a consistent
truncation of ${\cal N}=4$ super Yang-Mills on $\mathds{R}\times S^3$ and as
the continuum limit of the plane-wave matrix model expanded around the $N$
spherical membrane vacuum. The theory has an infinite number of classical BPS
vacua, labeled by a set of monopole numbers, described by dual supergravity
solutions. We first derive the Lagrangian and its supersymmetry transformations
as a deformation of the usual dimensional reduction of ${\cal N}=1$ gauge
theory in ten dimensions. Then we compute the partition function in the zero 't
Hooft coupling limit in different monopole backgrounds and with chemical
potentials for the $R$-charges. In the trivial vacuum we observe a first-order
Hagedorn transition separating a phase in which the Polyakov loop has vanishing
expectation value from a regime in which this order parameter is non-zero, in
analogy with the four-dimensional case. The picture changes in the monopole
vacua due to the structure of the fermionic effective action. Depending on the
regularization procedure used in the path integral, we obtain two completely
different behaviors, triggered by the absence or the appearance of a
Chern-Simons term. In the first case we still observe a first-order phase
transition, with Hagedorn temperature depending on the monopole charges. In the
latter the large $N$ behavior is obtained by solving a unitary multi-matrix
model with a peculiar logarithmic potential, the system does not present a
phase transition and it always appears in a ``deconfined'' phase.
| [
{
"created": "Sat, 30 Jun 2007 10:15:29 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jul 2007 14:16:10 GMT",
"version": "v2"
}
] | 2009-04-30 | [
[
"Grignani",
"Gianluca",
"",
"Perugia U., INFN"
],
[
"Griguolo",
"Luca",
"",
"Parma U., INFN"
],
[
"Mori",
"Nicola",
"",
"Firenze U., INFN"
],
[
"Seminara",
"Domenico",
"",
"Firenze U., INFN"
]
] | We study the thermodynamics of maximally supersymmetric U(N) Yang-Mills theory on $\mathds{R}\times S^2$ at large $N$. The model arises as a consistent truncation of ${\cal N}=4$ super Yang-Mills on $\mathds{R}\times S^3$ and as the continuum limit of the plane-wave matrix model expanded around the $N$ spherical membrane vacuum. The theory has an infinite number of classical BPS vacua, labeled by a set of monopole numbers, described by dual supergravity solutions. We first derive the Lagrangian and its supersymmetry transformations as a deformation of the usual dimensional reduction of ${\cal N}=1$ gauge theory in ten dimensions. Then we compute the partition function in the zero 't Hooft coupling limit in different monopole backgrounds and with chemical potentials for the $R$-charges. In the trivial vacuum we observe a first-order Hagedorn transition separating a phase in which the Polyakov loop has vanishing expectation value from a regime in which this order parameter is non-zero, in analogy with the four-dimensional case. The picture changes in the monopole vacua due to the structure of the fermionic effective action. Depending on the regularization procedure used in the path integral, we obtain two completely different behaviors, triggered by the absence or the appearance of a Chern-Simons term. In the first case we still observe a first-order phase transition, with Hagedorn temperature depending on the monopole charges. In the latter the large $N$ behavior is obtained by solving a unitary multi-matrix model with a peculiar logarithmic potential, the system does not present a phase transition and it always appears in a ``deconfined'' phase. |
2206.11377 | Filipe Moura | Filipe Moura, Jo\~ao Rodrigues | The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet
d-dimensional black holes | 26 pages, 3 figures. v2: clarifications and references added.
Published version | Nucl.Phys.B 993 (2023) 116255 | 10.1016/j.nuclphysb.2023.116255 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-sa/4.0/ | We compute the quasinormal frequencies of d-dimensional large spherically
symmetric black holes with Gauss-Bonnet corrections in the highly damped
regime. We solve perturbatively the master differential equation and we compute
the monodromies of the master perturbation variable (analytically continued to
the complex plane) in different contours, in order to obtain the quasinormal
mode spectra. We consider tensorial, vectorial and scalar gravitational
perturbations, obtaining the same frequencies for the three cases like in
Einstein gravity. We also separately perform the same calculation for test
scalar fields.
| [
{
"created": "Wed, 22 Jun 2022 20:57:24 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2023 21:25:03 GMT",
"version": "v2"
}
] | 2023-06-27 | [
[
"Moura",
"Filipe",
""
],
[
"Rodrigues",
"João",
""
]
] | We compute the quasinormal frequencies of d-dimensional large spherically symmetric black holes with Gauss-Bonnet corrections in the highly damped regime. We solve perturbatively the master differential equation and we compute the monodromies of the master perturbation variable (analytically continued to the complex plane) in different contours, in order to obtain the quasinormal mode spectra. We consider tensorial, vectorial and scalar gravitational perturbations, obtaining the same frequencies for the three cases like in Einstein gravity. We also separately perform the same calculation for test scalar fields. |
1110.3749 | Ruslan Metsaev | R. R. Metsaev | Anomalous conformal currents, shadow fields and massive AdS fields | 21 pages, RevTeX4, v3: Typos in Eq.(7.4) corrected. Appendix A added.
arXiv admin note: substantial text overlap with arXiv:1011.4261 | null | 10.1103/PhysRevD.85.126011 | FIAN-TD-2011-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of gauge invariant approach involving Stueckelberg and
auxiliary fields, totally symmetric arbitrary spin anomalous conformal current
and shadow field in flat space-time of dimension greater than or equal to four
are studied. Gauge invariant differential constraints for such anomalous
conformal current and shadow field and realization of global conformal
symmetries are obtained. Gauge invariant two-point vertex of the arbitrary spin
anomalous shadow field is also obtained. In Stueckelberg gauge frame, the
two-point gauge invariant vertex becomes the standard two-point vertex of CFT.
Light-cone gauge two-point vertex of the arbitrary spin anomalous shadow field
is derived. The AdS/CFT correspondence for arbitrary spin anomalous conformal
current and shadow field and the respective normalizable and non-normalizable
modes of massive arbitrary spin AdS field is studied. The AdS field is
considered in modified de Donder gauge which simplifies considerably the study
of AdS/CFT correspondence. We show that on-shell leftover gauge symmetries of
bulk massive field are related to gauge symmetries of boundary anomalous
conformal current and shadow field, while the modified de Donder gauge
condition for bulk massive field is related to differential constraints for
boundary anomalous conformal current and shadow field.
| [
{
"created": "Mon, 17 Oct 2011 18:14:09 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2011 15:31:45 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jan 2012 18:17:09 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Metsaev",
"R. R.",
""
]
] | In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are studied. Gauge invariant differential constraints for such anomalous conformal current and shadow field and realization of global conformal symmetries are obtained. Gauge invariant two-point vertex of the arbitrary spin anomalous shadow field is also obtained. In Stueckelberg gauge frame, the two-point gauge invariant vertex becomes the standard two-point vertex of CFT. Light-cone gauge two-point vertex of the arbitrary spin anomalous shadow field is derived. The AdS/CFT correspondence for arbitrary spin anomalous conformal current and shadow field and the respective normalizable and non-normalizable modes of massive arbitrary spin AdS field is studied. The AdS field is considered in modified de Donder gauge which simplifies considerably the study of AdS/CFT correspondence. We show that on-shell leftover gauge symmetries of bulk massive field are related to gauge symmetries of boundary anomalous conformal current and shadow field, while the modified de Donder gauge condition for bulk massive field is related to differential constraints for boundary anomalous conformal current and shadow field. |
hep-th/0404050 | Marco Cavagli\`a | Marco Cavaglia, Saurya Das | How classical are TeV-scale black holes? | 10 pages, no figures, REVTeX style. Extra comments and references to
match version accepted to Classical and Quantum Gravity | Class.Quant.Grav. 21 (2004) 4511-4522 | 10.1088/0264-9381/21/19/001 | null | hep-th gr-qc hep-ph | null | We show that the Hawking temperature and the entropy of black holes are
subject to corrections from two sources: the generalized uncertainty principle
and thermal fluctuations. Both effects increase the temperature and decrease
the entropy, resulting in faster decay and ``less classical'' black holes. We
discuss the implications of these results for TeV-scale black holes that are
expected to be produced at future colliders.
| [
{
"created": "Tue, 6 Apr 2004 14:56:37 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2004 22:16:52 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cavaglia",
"Marco",
""
],
[
"Das",
"Saurya",
""
]
] | We show that the Hawking temperature and the entropy of black holes are subject to corrections from two sources: the generalized uncertainty principle and thermal fluctuations. Both effects increase the temperature and decrease the entropy, resulting in faster decay and ``less classical'' black holes. We discuss the implications of these results for TeV-scale black holes that are expected to be produced at future colliders. |
hep-th/9710067 | Schubert | Christian Schubert (Argonne National Laboratory) | The Structure of the Bern-Kosower Integrand for the N-Gluon Amplitude | 12 pages, no figures, latex, uses dina4.sty | Eur.Phys.J.C5:693-699,1998 | 10.1007/s100520050311 | ANL-HEP-PR-97-83, HUB-EP-97/35 | hep-th hep-ph | null | An ambiguity inherent in the partial integration procedure leading to the
Bern-Kosower rules is fixed in a way which preserves the complete permutation
symmetry in the scattering states. This leads to a canonical version of the
Bern-Kosower representation for the one-loop N - photon/gluon amplitudes, and
to a natural decomposition of those amplitudes into permutation symmetric gauge
invariant partial amplitudes. This decomposition exhibits a simple recursive
structure.
| [
{
"created": "Wed, 8 Oct 1997 05:22:14 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Schubert",
"Christian",
"",
"Argonne National Laboratory"
]
] | An ambiguity inherent in the partial integration procedure leading to the Bern-Kosower rules is fixed in a way which preserves the complete permutation symmetry in the scattering states. This leads to a canonical version of the Bern-Kosower representation for the one-loop N - photon/gluon amplitudes, and to a natural decomposition of those amplitudes into permutation symmetric gauge invariant partial amplitudes. This decomposition exhibits a simple recursive structure. |
hep-th/0408090 | Francesco Fucito | Francesco Fucito, Jose F. Morales and Rubik Poghossian | Instantons on Quivers and Orientifolds | 28 pages, revised version, references added, some typos corrected | JHEP 0410:037,2004 | 10.1088/1126-6708/2004/10/037 | ROM2F/2004/21 | hep-th | null | We compute the prepotential for gauge theories descending from ${\cal N}=4$
SYM via quiver projections and mass deformations.
This accounts for gauge theories with product gauge groups and bifundamental
matter. The case of massive orientifold gauge theories with gauge group SO/Sp
is also described. In the case with no gravitational corrections the results
are shown to be in agreement with Seiberg-Witten analysis and previous results
in the literature.
| [
{
"created": "Wed, 11 Aug 2004 15:11:59 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2004 18:04:06 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Fucito",
"Francesco",
""
],
[
"Morales",
"Jose F.",
""
],
[
"Poghossian",
"Rubik",
""
]
] | We compute the prepotential for gauge theories descending from ${\cal N}=4$ SYM via quiver projections and mass deformations. This accounts for gauge theories with product gauge groups and bifundamental matter. The case of massive orientifold gauge theories with gauge group SO/Sp is also described. In the case with no gravitational corrections the results are shown to be in agreement with Seiberg-Witten analysis and previous results in the literature. |
2202.04661 | Ying Zhao | Felix M. Haehl and Ying Zhao | Collisions of localized shocks and quantum circuits | v1: 26+11 pages, 17 figures; v2: published version in JHEP | J. High Energ. Phys. 2022, 2 (2022) | 10.1007/JHEP09(2022)002 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study collisions between localized shockwaves inside a black hole
interior. We give a holographic boundary description of this process in terms
of the overlap of two growing perturbations in a shared quantum circuit. The
perturbations grow both exponentially as well as ballistically. Due to a
competition between different physical effects, the circuit analysis shows
dependence on the transverse locations and exhibits four regimes of
qualitatively different behaviors. On the gravity side we study properties of
the post-collision geometry, using exact calculations in simple setups and
estimations in more general circumstances. We show that the circuit analysis
offers intuitive and surprisingly accurate predictions about gravity
computations involving non-linear features of general relativity.
| [
{
"created": "Wed, 9 Feb 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 2022 14:40:05 GMT",
"version": "v2"
}
] | 2022-09-05 | [
[
"Haehl",
"Felix M.",
""
],
[
"Zhao",
"Ying",
""
]
] | We study collisions between localized shockwaves inside a black hole interior. We give a holographic boundary description of this process in terms of the overlap of two growing perturbations in a shared quantum circuit. The perturbations grow both exponentially as well as ballistically. Due to a competition between different physical effects, the circuit analysis shows dependence on the transverse locations and exhibits four regimes of qualitatively different behaviors. On the gravity side we study properties of the post-collision geometry, using exact calculations in simple setups and estimations in more general circumstances. We show that the circuit analysis offers intuitive and surprisingly accurate predictions about gravity computations involving non-linear features of general relativity. |
hep-th/9310196 | Tony Giaquinto | A. Giaquinto and J. J. Zhang | Quantum Weyl algebras | 21 pages | null | null | null | hep-th math.QA | null | For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the
Weyl algebra $A_n$. The aim of this paper is to study some general
ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of
$A_n$. We also obtain further information on those quantizations obtained from
some well-known Hecke symmetries.
| [
{
"created": "Sat, 30 Oct 1993 21:19:25 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Giaquinto",
"A.",
""
],
[
"Zhang",
"J. J.",
""
]
] | For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries. |
2001.00638 | Robert Brandenberger | Robert Brandenberger and Ziwei Wang (McGill University) | Nonsingular Ekpyrotic Cosmology with a Nearly Scale-Invariant Spectrum
of Cosmological Perturbations and Gravitational Waves | 9 pages, a few typos corrected, matches published version | Phys. Rev. D 101, 063522 (2020) | 10.1103/PhysRevD.101.063522 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a mechanism borrowed from string theory which yields a
non-singular transition from a phase of Ekpyrotic contraction to the expanding
phase of Standard Big Bang cosmology. The same mechanism converts the initial
vacuum spectrum of cosmological fluctuations before the bounce into a
scale-invariant one, and also changes the spectrum of gravitational waves into
an almost scale-invariant one. The scalar and tensor tilts are predicted to be
the same, in contrast to the predictions from the "String Gas Cosmology"
scenario. The amplitude of the gravitational wave spectrum depends on the ratio
of the string scale to the Planck scale and may be in reach of upcoming
experiments.
| [
{
"created": "Thu, 2 Jan 2020 21:47:04 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2020 10:38:16 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Apr 2020 08:51:24 GMT",
"version": "v3"
}
] | 2020-04-21 | [
[
"Brandenberger",
"Robert",
"",
"McGill University"
],
[
"Wang",
"Ziwei",
"",
"McGill University"
]
] | We propose a mechanism borrowed from string theory which yields a non-singular transition from a phase of Ekpyrotic contraction to the expanding phase of Standard Big Bang cosmology. The same mechanism converts the initial vacuum spectrum of cosmological fluctuations before the bounce into a scale-invariant one, and also changes the spectrum of gravitational waves into an almost scale-invariant one. The scalar and tensor tilts are predicted to be the same, in contrast to the predictions from the "String Gas Cosmology" scenario. The amplitude of the gravitational wave spectrum depends on the ratio of the string scale to the Planck scale and may be in reach of upcoming experiments. |
0711.4422 | Ahmad Sheykhi | Ahmad Sheykhi | Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity | 9 pages, 7 figures, references added, to appear in Phys. Rev. D | Phys.Rev.D77:104022,2008 | 10.1103/PhysRevD.77.104022 | null | hep-th | null | We present a new class of slowly rotating black hole solutions in
$(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence
of Liouville-type potential for the dilaton field and an arbitrary value of the
dilaton coupling constant. Because of the presence of the dilaton field, the
asymptotic behaviour of these solutions are neither flat nor (A)dS. In the
absence of a dilaton field, our solution reduces to the $(n+1)$-dimensional
Kerr-Newman modification thereof for small rotation parameter \cite{Aliev2}. We
also compute the angular momentum and the gyromagnetic ratio of these rotating
dilaton black holes.
| [
{
"created": "Wed, 28 Nov 2007 13:19:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2007 04:10:29 GMT",
"version": "v2"
},
{
"created": "Sat, 10 May 2008 07:40:20 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Sheykhi",
"Ahmad",
""
]
] | We present a new class of slowly rotating black hole solutions in $(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence of Liouville-type potential for the dilaton field and an arbitrary value of the dilaton coupling constant. Because of the presence of the dilaton field, the asymptotic behaviour of these solutions are neither flat nor (A)dS. In the absence of a dilaton field, our solution reduces to the $(n+1)$-dimensional Kerr-Newman modification thereof for small rotation parameter \cite{Aliev2}. We also compute the angular momentum and the gyromagnetic ratio of these rotating dilaton black holes. |
hep-th/0507272 | Igor V. Volovich | Th.M. Nieuwenhuizen and I.V. Volovich | Role of Various Entropies in the Black Hole Information Loss Problem | 8 pages | null | null | null | hep-th astro-ph cond-mat.stat-mech gr-qc quant-ph | null | In a recent paper Hawking has argued that there is no information loss in
black holes in asymptotically AdS spacetimes. We remind that there are several
types of information (entropy) in statistical physics -- fine grained
(microscopic) and coarse grained (macroscopic) ones which behave differently
under unitary evolution. We suggest that the coarse grained information of the
rest of the Universe is lost while fine grained information is preserved. A
possibility to develop in quantum gravity an analogue of the Bogoliubov
derivation of the irreversible Boltzmann and Navier - Stokes equations from the
reversible mechanical equations is discussed.
| [
{
"created": "Wed, 27 Jul 2005 19:03:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nieuwenhuizen",
"Th. M.",
""
],
[
"Volovich",
"I. V.",
""
]
] | In a recent paper Hawking has argued that there is no information loss in black holes in asymptotically AdS spacetimes. We remind that there are several types of information (entropy) in statistical physics -- fine grained (microscopic) and coarse grained (macroscopic) ones which behave differently under unitary evolution. We suggest that the coarse grained information of the rest of the Universe is lost while fine grained information is preserved. A possibility to develop in quantum gravity an analogue of the Bogoliubov derivation of the irreversible Boltzmann and Navier - Stokes equations from the reversible mechanical equations is discussed. |
2407.16758 | Anindya Sengupta | Katrin Becker, Nathan Brady, Mariana Gra\~na, Miguel Morros, Anindya
Sengupta, Qi You | Tadpole conjecture in non-geometric backgrounds | 33 pages, 2 figures. Bibliography contains a GitHub link to the
accompanying codes and dataset | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Calabi-Yau compactifications have typically a large number of complex
structure and/or K\"ahler moduli that have to be stabilised in
phenomenologically-relevant vacua. The former can in principle be done by
fluxes in type IIB solutions. However, the tadpole conjecture proposes that the
number of stabilised moduli can at most grow linearly with the tadpole charge
of the fluxes required for stabilisation. We scrutinise this conjecture in the
$2^6$ Gepner model: a non-geometric background mirror dual to a rigid
Calabi-Yau manifold, in the deep interior of moduli space. By constructing an
extensive set of supersymmetric Minkowski flux solutions, we spectacularly
confirm the linear growth, while achieving a slightly higher ratio of
stabilised moduli to flux charge than the conjectured upper bound. As a
byproduct, we obtain for the first time a set of solutions within the tadpole
bound where all complex structure moduli are massive. Since the $2^6$ model has
no K\"ahler moduli, these show that the massless Minkowski conjecture does not
hold beyond supergravity.
| [
{
"created": "Tue, 23 Jul 2024 18:00:05 GMT",
"version": "v1"
}
] | 2024-07-25 | [
[
"Becker",
"Katrin",
""
],
[
"Brady",
"Nathan",
""
],
[
"Graña",
"Mariana",
""
],
[
"Morros",
"Miguel",
""
],
[
"Sengupta",
"Anindya",
""
],
[
"You",
"Qi",
""
]
] | Calabi-Yau compactifications have typically a large number of complex structure and/or K\"ahler moduli that have to be stabilised in phenomenologically-relevant vacua. The former can in principle be done by fluxes in type IIB solutions. However, the tadpole conjecture proposes that the number of stabilised moduli can at most grow linearly with the tadpole charge of the fluxes required for stabilisation. We scrutinise this conjecture in the $2^6$ Gepner model: a non-geometric background mirror dual to a rigid Calabi-Yau manifold, in the deep interior of moduli space. By constructing an extensive set of supersymmetric Minkowski flux solutions, we spectacularly confirm the linear growth, while achieving a slightly higher ratio of stabilised moduli to flux charge than the conjectured upper bound. As a byproduct, we obtain for the first time a set of solutions within the tadpole bound where all complex structure moduli are massive. Since the $2^6$ model has no K\"ahler moduli, these show that the massless Minkowski conjecture does not hold beyond supergravity. |
2010.16398 | Shanming Ruan | Juan Hernandez, Robert C. Myers and Shan-Ming Ruan | Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane | 45+5pages, 5 figures | null | 10.1007/JHEP02(2021)173 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine holographic complexity in the doubly holographic model introduced
in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We
focus on the holographic complexity=volume (CV) proposal for boundary
subregions in the island phase. Exploiting the Fefferman-Graham expansion of
the metric and other geometric quantities near the brane, we derive the leading
contributions to the complexity and interpret these in terms of the generalized
volume of the island derived from the induced higher-curvature gravity action
on the brane. Motivated by these results, we propose a generalization of the CV
proposal for higher curvature theories of gravity. Further, we provide two
consistency checks of our proposal by studying Gauss-Bonnet gravity and f(R)
gravity in the bulk.
| [
{
"created": "Fri, 30 Oct 2020 17:49:36 GMT",
"version": "v1"
}
] | 2021-03-17 | [
[
"Hernandez",
"Juan",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Ruan",
"Shan-Ming",
""
]
] | We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(R) gravity in the bulk. |
1607.07878 | Diego Rodriguez-Gomez | Diego Rodriguez-Gomez and Jorge G. Russo | Operator Mixing in Large $N$ Superconformal Field Theories on
$\mathbb{S}^4$ and Correlators with Wilson loops | 15 pages, no figures | null | 10.1007/JHEP12(2016)120 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a general formula for the operator mixing on the $\mathbb{S}^4$ of
chiral primary operators (CPO) for the ${\cal N}=4$ theory at large $N$ in
terms of Chebyshev polynomials. As an application, we compute the correlator of
a CPO and a Wilson loop, reproducing an earlier result by Giombi and Pestun
obtained from a two-matrix model proposal. Finally, we discuss a simple method
to obtain correlators in general ${\cal N}=2$ superconformal field theories in
perturbation theory in terms of correlators of the ${\cal N}=4$ theory.
| [
{
"created": "Tue, 26 Jul 2016 20:00:29 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2016 19:17:35 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We find a general formula for the operator mixing on the $\mathbb{S}^4$ of chiral primary operators (CPO) for the ${\cal N}=4$ theory at large $N$ in terms of Chebyshev polynomials. As an application, we compute the correlator of a CPO and a Wilson loop, reproducing an earlier result by Giombi and Pestun obtained from a two-matrix model proposal. Finally, we discuss a simple method to obtain correlators in general ${\cal N}=2$ superconformal field theories in perturbation theory in terms of correlators of the ${\cal N}=4$ theory. |
1007.5292 | Mykola Dedushenko | Mykola Dedushenko | Violation of the phase space general covariance as a diffeomorphism
anomaly in quantum mechanics | 36 pages | JHEP 1010:054,2010 | 10.1007/JHEP10(2010)054 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a topological quantum mechanics described by a phase space path
integral and study the 1-dimensional analog for the path integral
representation of the Kontsevich formula. We see that the naive bosonic
integral possesses divergences, that it is even naively non-invariant and thus
is ill-defined. We then consider a super-extension of the theory which
eliminates the divergences and makes the theory naively invariant. This
super-extension is equivalent to the correct choice of measure and was
discussed in the literature. We then investigate the behavior of this extended
theory under diffeomorphisms of the extended phase space and despite of its
naive invariance find out that the theory possesses anomaly under nonlinear
diffeomorphisms. We localize the origin of the anomaly and calculate the lowest
nontrivial anomalous contribution.
| [
{
"created": "Thu, 29 Jul 2010 18:43:34 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Dedushenko",
"Mykola",
""
]
] | We consider a topological quantum mechanics described by a phase space path integral and study the 1-dimensional analog for the path integral representation of the Kontsevich formula. We see that the naive bosonic integral possesses divergences, that it is even naively non-invariant and thus is ill-defined. We then consider a super-extension of the theory which eliminates the divergences and makes the theory naively invariant. This super-extension is equivalent to the correct choice of measure and was discussed in the literature. We then investigate the behavior of this extended theory under diffeomorphisms of the extended phase space and despite of its naive invariance find out that the theory possesses anomaly under nonlinear diffeomorphisms. We localize the origin of the anomaly and calculate the lowest nontrivial anomalous contribution. |
2404.03630 | Chao-Hsiang Sheu | Chao-Hsiang Sheu and Mikhail Shifman | Lie-algebraic K\"ahler sigma models with the U(1) isotropy | 6 figures | null | null | FTPI-MINN-24-05, UMN-TH-4314/24 | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | We discuss various questions which emerge in connection with the
Lie-algebraic deformation of $\mathbb{CP}^1$ sigma model in two dimensions.
First we supersymmetrize the original model endowing it with the minimal ${\cal
N}=(0,2)$ and extended ${\cal N}=(2,2)$ supersymmetries. Then we derive the
general hypercurrent anomaly in the both cases. In the latter case this anomaly
is one-loop but is somewhat different from the standard expressions one can
find in the literature because the target manifold is non-symmetric. We also
show how to introduce the twisted masses and the $\theta$ term, and study the
BPS equation for instantons, in particular the value of the topological charge.
Then we demonstrate that the second loop in the $\beta$ function of the
non-supersymmetric Lie-algebraic sigma model is due to an infrared effect. To
this end we use a supersymmetric regularization. We also conjecture that the
above statement is valid for higher loops too, similar to the parallel
phenomenon in four-dimensional ${\cal N}=1$ super-Yang-Mills. In the second
part of the paper we develop a special dimensional reduction -- namely,
starting from the two-dimensional Lie-algebraic model we arrive at a
quasi-exactly solvable quantum-mechanical problem of the Lam\'e type.
| [
{
"created": "Thu, 4 Apr 2024 17:52:05 GMT",
"version": "v1"
}
] | 2024-04-05 | [
[
"Sheu",
"Chao-Hsiang",
""
],
[
"Shifman",
"Mikhail",
""
]
] | We discuss various questions which emerge in connection with the Lie-algebraic deformation of $\mathbb{CP}^1$ sigma model in two dimensions. First we supersymmetrize the original model endowing it with the minimal ${\cal N}=(0,2)$ and extended ${\cal N}=(2,2)$ supersymmetries. Then we derive the general hypercurrent anomaly in the both cases. In the latter case this anomaly is one-loop but is somewhat different from the standard expressions one can find in the literature because the target manifold is non-symmetric. We also show how to introduce the twisted masses and the $\theta$ term, and study the BPS equation for instantons, in particular the value of the topological charge. Then we demonstrate that the second loop in the $\beta$ function of the non-supersymmetric Lie-algebraic sigma model is due to an infrared effect. To this end we use a supersymmetric regularization. We also conjecture that the above statement is valid for higher loops too, similar to the parallel phenomenon in four-dimensional ${\cal N}=1$ super-Yang-Mills. In the second part of the paper we develop a special dimensional reduction -- namely, starting from the two-dimensional Lie-algebraic model we arrive at a quasi-exactly solvable quantum-mechanical problem of the Lam\'e type. |
hep-th/0512289 | J. R. S. Nascimento | M. A. Anacleto, J. R. Nascimento, A. Yu. Petrov | Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach | 14 pages, 4 figures, minor corrections | Phys.Lett.B637:344-349,2006 | 10.1016/j.physletb.2006.04.053 | null | hep-th | null | We apply the coherent state approach to study Aharonov-Bohm effect in the
field theory context. We verify that, contrarily to the commutative result, the
scattering amplitude is ultraviolet finite. However, we have logarithmic
singularities as the noncommutative parameter tends to zero. Thus, the
inclusion of a quartic self-interaction for the scalar field is necessary to
obtain a smooth commutative limit.
| [
{
"created": "Thu, 22 Dec 2005 17:18:26 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2006 18:52:30 GMT",
"version": "v2"
},
{
"created": "Thu, 4 May 2006 14:02:36 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Anacleto",
"M. A.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit. |
hep-th/0303238 | Nobuyoshi Ohta | Nobuyoshi Ohta | Accelerating Cosmologies from S-Branes | 8 pages, 4 figures, comments added, a typo corrected, final version
to appear in Phys. Rev. Lett | Phys.Rev.Lett.91:061303,2003 | 10.1103/PhysRevLett.91.061303 | OU-HET 434, USTC-ICTS-03-4 | hep-th astro-ph gr-qc | null | We point out that the recently proposed model of a flat 4-dimensional
universe with accelerated expansion in string/M-theory is a special case of
time-dependent solutions that the author found under the name of ``S-branes.''
We also show that similar accelerating models can be obtained from S-branes if
the internal space is chosen to be hyperbolic or flat spaces.
| [
{
"created": "Thu, 27 Mar 2003 12:15:24 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Apr 2003 02:19:10 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Apr 2003 02:30:44 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Apr 2003 02:41:24 GMT",
"version": "v4"
},
{
"created": "Thu, 19 Jun 2003 01:11:24 GMT",
"version": "v5"
},
{
"created": "Fri, 20 Jun 2003 05:38:56 GMT",
"version": "v6"
}
] | 2008-11-26 | [
[
"Ohta",
"Nobuyoshi",
""
]
] | We point out that the recently proposed model of a flat 4-dimensional universe with accelerated expansion in string/M-theory is a special case of time-dependent solutions that the author found under the name of ``S-branes.'' We also show that similar accelerating models can be obtained from S-branes if the internal space is chosen to be hyperbolic or flat spaces. |
hep-th/0003288 | Naohisa Ogawa | Naohisa Ogawa | A Note on Classical Solution of Chaplygin-gas as D-brane | 20 pages,No figures, Latex, Address changed | Phys.Rev. D62 (2000) 085023 | 10.1103/PhysRevD.62.085023 | null | hep-th | null | The classical solution of bosonic d-brane in (d+1,1) space-time is studied.
We work with light-cone gauge and reduce the problem into Chaplygin gas
problem. The static equation is equivalent to vanishing of extrinsic mean
curvature, which is similar to Einstein equation in vacuum. We show that the
d-brane problem in this gauge is closely related to Plateau problem, and we
give some non-trivial solutions from minimal surfaces. The solutions of
d-1,d,d+1 spatial dimensions are obtained from d-dimensional minimal surfaces
as solutions of Plateau problem. In addition we discuss on the relation to
Hamiltonian-BRST formalism for d-branes.
| [
{
"created": "Fri, 31 Mar 2000 00:21:01 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2000 18:17:08 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Apr 2000 03:32:26 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Apr 2000 04:51:06 GMT",
"version": "v4"
},
{
"created": "Mon, 24 Apr 2000 07:16:34 GMT",
"version": "v5"
},
{
"created": "Sun, 28 May 2000 16:02:59 GMT",
"version": "v6"
},
{
"created": "Wed, 7 Jun 2000 03:55:55 GMT",
"version": "v7"
}
] | 2009-10-31 | [
[
"Ogawa",
"Naohisa",
""
]
] | The classical solution of bosonic d-brane in (d+1,1) space-time is studied. We work with light-cone gauge and reduce the problem into Chaplygin gas problem. The static equation is equivalent to vanishing of extrinsic mean curvature, which is similar to Einstein equation in vacuum. We show that the d-brane problem in this gauge is closely related to Plateau problem, and we give some non-trivial solutions from minimal surfaces. The solutions of d-1,d,d+1 spatial dimensions are obtained from d-dimensional minimal surfaces as solutions of Plateau problem. In addition we discuss on the relation to Hamiltonian-BRST formalism for d-branes. |
hep-th/9506203 | Igor Tyutin | I. A. Batalin and I. V. Tyutin | On the Perturbative Equivalence Between the Hamiltonian and Lagrangian
Quantizations | 14 pages, LaTeX, no figures | Int.J.Mod.Phys. A11 (1996) 1353-1366 | 10.1142/S0217751X96000626 | FIAN/TD/95-13 | hep-th | null | The Hamiltonian (BFV) and Lagrangian (BV) quantization schemes are proved to
be equivalent perturbatively to each other. It is shown in particular that the
quantum master equation being treated perturbatively possesses a local formal
solution.
| [
{
"created": "Fri, 30 Jun 1995 10:59:01 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Batalin",
"I. A.",
""
],
[
"Tyutin",
"I. V.",
""
]
] | The Hamiltonian (BFV) and Lagrangian (BV) quantization schemes are proved to be equivalent perturbatively to each other. It is shown in particular that the quantum master equation being treated perturbatively possesses a local formal solution. |
hep-th/9805175 | Fedor Gubarev | F.V. Gubarev, M.I. Polikarpov, V.I. Zakharov | Monopole-antimonopole interaction in Abelian Higgs model | 8 pages, LaTeX2e, minor corrections | Phys.Lett. B438 (1998) 147-153 | 10.1016/S0370-2693(98)00957-5 | ITEP-TH-28/98 | hep-th hep-lat | null | We consider interaction of a probe monopole-antimonopole pair in the vacuum
of the Abelian Higgs model. For simplicity, the mass of the Higgs particle is
assumed to be much larger than the mass of the photon (London limit). In case
of a massive photon the straightforward application of the Zwanziger formalism
to accommodate both magnetic and electric charges is known to result in gauge
dependence and infrared instabilities. We argue that the use of the string
representation of the Abelian Higgs model allows to ameliorate both
difficulties. In particular, we arrive at a well defined expression for the
potential energy of the static monopole sources. We argue that the
monopole-antimonopole interaction cannot be described by a massive photon
exchange with a definite propagator having simple analytical properties.
| [
{
"created": "Tue, 26 May 1998 15:26:50 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 1998 04:37:59 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gubarev",
"F. V.",
""
],
[
"Polikarpov",
"M. I.",
""
],
[
"Zakharov",
"V. I.",
""
]
] | We consider interaction of a probe monopole-antimonopole pair in the vacuum of the Abelian Higgs model. For simplicity, the mass of the Higgs particle is assumed to be much larger than the mass of the photon (London limit). In case of a massive photon the straightforward application of the Zwanziger formalism to accommodate both magnetic and electric charges is known to result in gauge dependence and infrared instabilities. We argue that the use of the string representation of the Abelian Higgs model allows to ameliorate both difficulties. In particular, we arrive at a well defined expression for the potential energy of the static monopole sources. We argue that the monopole-antimonopole interaction cannot be described by a massive photon exchange with a definite propagator having simple analytical properties. |
hep-th/9803256 | Stepanyantz | P.Pronin and K.Stepanyantz | On the value of coupling constant | 5 pages, LATEX, 1 eps figure | null | null | null | hep-th hep-ph | null | Using an analogy between Bogomol'nyi bound and the harmonic oscillator in
quantum mechanics we propose a possible explanation of the coupling constant
numerical value at the grand unification scale. It is found to be $1/8\pi$.
| [
{
"created": "Tue, 31 Mar 1998 10:22:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pronin",
"P.",
""
],
[
"Stepanyantz",
"K.",
""
]
] | Using an analogy between Bogomol'nyi bound and the harmonic oscillator in quantum mechanics we propose a possible explanation of the coupling constant numerical value at the grand unification scale. It is found to be $1/8\pi$. |
hep-th/0307128 | Mariusz Dabrowski P. | Mariusz P. Dabrowski, Tomasz Stachowiak and Marek Szydlowski | Phantom cosmologies | 10 pages, Revtex4, 10 figures, an improved version. references added | Phys.Rev.D68:103519,2003 | 10.1103/PhysRevD.68.103519 | null | hep-th astro-ph gr-qc | null | We discuss a class of phantom ($p < - \varrho$) cosmological models. Except
for phantom we admit various forms of standard types of matter and discuss the
problem of singularities for these cosmologies. The singularities are different
from those of standard matter cosmology since they appear for infinite values
of the scale factor. We also find an interesting relation between the phantom
models and standard matter models which is like the duality symmetry of string
cosmology.
| [
{
"created": "Mon, 14 Jul 2003 17:06:45 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jul 2003 06:40:42 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dabrowski",
"Mariusz P.",
""
],
[
"Stachowiak",
"Tomasz",
""
],
[
"Szydlowski",
"Marek",
""
]
] | We discuss a class of phantom ($p < - \varrho$) cosmological models. Except for phantom we admit various forms of standard types of matter and discuss the problem of singularities for these cosmologies. The singularities are different from those of standard matter cosmology since they appear for infinite values of the scale factor. We also find an interesting relation between the phantom models and standard matter models which is like the duality symmetry of string cosmology. |
1712.07955 | Vasudev Shyam | Vasudev Shyam | Connecting Holographic Wess--Zumino Consistency Conditions to the
Holographic Anomaly | 21 pages, no figures, minor typos corrected, references added,
various sections expanded to make certain arguments clearer | J. High Energ. Phys. (2018) 2018: 171 | 10.1007/JHEP03(2018)171 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Holographic Wess--Zumino (HWZ) consistency conditions are shown through a
step by step mapping of renormalization group flows to Hamiltonian systems, to
lead to the Holographic anomaly. These conditions codify how the energy scale,
when treated as the emergent bulk direction in Holographic theories, is put on
equal footing as the other directions of the space the field theory inhabits.
So, this is a defining feature of theories possessing local Holographic bulk
duals. In four dimensional Holographic conformal field theories, the $a$ and
$c$ anomaly coefficients are equated, and this is seen as a defining property
of theories which possess General Relativity coupled to matter as a dual.
Hence, showing how the former consistency conditions leads to the latter
relation between anomaly coefficients adds evidence to the claim that the HWZ
conditions are a defining feature of theories possessing local gravity duals.
| [
{
"created": "Thu, 7 Dec 2017 20:46:04 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2018 18:57:08 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jan 2018 15:48:25 GMT",
"version": "v3"
},
{
"created": "Sun, 4 Mar 2018 17:53:37 GMT",
"version": "v4"
}
] | 2018-04-02 | [
[
"Shyam",
"Vasudev",
""
]
] | The Holographic Wess--Zumino (HWZ) consistency conditions are shown through a step by step mapping of renormalization group flows to Hamiltonian systems, to lead to the Holographic anomaly. These conditions codify how the energy scale, when treated as the emergent bulk direction in Holographic theories, is put on equal footing as the other directions of the space the field theory inhabits. So, this is a defining feature of theories possessing local Holographic bulk duals. In four dimensional Holographic conformal field theories, the $a$ and $c$ anomaly coefficients are equated, and this is seen as a defining property of theories which possess General Relativity coupled to matter as a dual. Hence, showing how the former consistency conditions leads to the latter relation between anomaly coefficients adds evidence to the claim that the HWZ conditions are a defining feature of theories possessing local gravity duals. |
1812.09288 | Sa\v{s}o Grozdanov | Sa\v{s}o Grozdanov, Andrei O. Starinets | Adding new branches to the "Christmas tree" of the quasinormal spectrum
of black branes | V2: 13 pages, 8 figures. Version to appear in JHEP | JHEP 1904 (2019) 080 | 10.1007/JHEP04(2019)080 | MIT-CTP/5092, OUTP-18-10P | hep-th cond-mat.str-el nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In holography, quasinormal spectra of black branes coincide with the poles of
retarded finite-temperature correlation functions of a dual quantum field
theory in the limit of infinite number of relevant degrees of freedom such as
colours. For asymptotically anti-de Sitter backgrounds, the spectra form a
characteristic pattern in the complex frequency plane, colloquially known as
the "Christmas tree". At infinite coupling, the tree has only one pair of
branches. At large but finite coupling, the branches become more dense and lift
up towards the real axis, consistent with the expectation of forming a branch
cut in the limit of zero coupling. However, it is known that at zero coupling,
the corresponding correlators generically have not one but multiple branch cuts
separated by intervals proportional to the Matsubara frequency. This suggests
the existence of multiple branches of the "Christmas tree" spectrum in dual
gravity. In this note, we show numerically how these additional branches of the
spectrum can emerge from the dual gravitational action with higher-derivative
terms. This phenomenon appears to be robust, yet, reproducing the expected weak
coupling behaviour of the correlators quantitatively implies the existence of
certain constraints on the coefficients of the higher-derivative terms of the
dual gravity theory.
| [
{
"created": "Fri, 21 Dec 2018 18:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2019 16:12:45 GMT",
"version": "v2"
}
] | 2019-04-12 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Starinets",
"Andrei O.",
""
]
] | In holography, quasinormal spectra of black branes coincide with the poles of retarded finite-temperature correlation functions of a dual quantum field theory in the limit of infinite number of relevant degrees of freedom such as colours. For asymptotically anti-de Sitter backgrounds, the spectra form a characteristic pattern in the complex frequency plane, colloquially known as the "Christmas tree". At infinite coupling, the tree has only one pair of branches. At large but finite coupling, the branches become more dense and lift up towards the real axis, consistent with the expectation of forming a branch cut in the limit of zero coupling. However, it is known that at zero coupling, the corresponding correlators generically have not one but multiple branch cuts separated by intervals proportional to the Matsubara frequency. This suggests the existence of multiple branches of the "Christmas tree" spectrum in dual gravity. In this note, we show numerically how these additional branches of the spectrum can emerge from the dual gravitational action with higher-derivative terms. This phenomenon appears to be robust, yet, reproducing the expected weak coupling behaviour of the correlators quantitatively implies the existence of certain constraints on the coefficients of the higher-derivative terms of the dual gravity theory. |
hep-th/9508091 | Tomas Ortin | E. Bergshoeff, H.J. Boonstra and T. Ortin | S Duality and Dyonic p-Brane Solutions in Type II String Theory | 18 pages, latex file. Minor changes in text | Phys. Rev. D 53, 7206 (1996) | 10.1103/PhysRevD.53.7206 | UG-7/95 and QMW-PH-95-23 | hep-th | null | We show how a solitonic ``magnetically'' charged $p$-brane solution of a
given supergravity theory, with the magnetic charge carried by an antisymmetric
tensor gauge field, can be generalized to a dyonic solution. We discuss the
cases of ten-dimensional and eleven-dimensional supergravity in more detail and
a new dyonic five-brane solution in ten dimensions is given. Unlike the purely
electrically or magnetically charged five-brane solution the dyonic five-brane
contains non-zero Ramond--Ramond fields and is therefore an intrinsically
type~II solution. The solution preserves half of the type~II spacetime
supersymmetries. It is obtained by applying a solution-generating $SL(2,\R)
\times SL(2,\R)$ $S$~duality transformation to the purely magnetically charged
five-brane solution. One of the $SL(2,\R)$ duality transformations is basically
an extension to the type~II case of the six-dimensional $\Z_2$ string/string
duality. We also present an action underlying the type IIB supergravity theory.
| [
{
"created": "Fri, 18 Aug 1995 17:03:54 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 1995 00:51:38 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Bergshoeff",
"E.",
""
],
[
"Boonstra",
"H. J.",
""
],
[
"Ortin",
"T.",
""
]
] | We show how a solitonic ``magnetically'' charged $p$-brane solution of a given supergravity theory, with the magnetic charge carried by an antisymmetric tensor gauge field, can be generalized to a dyonic solution. We discuss the cases of ten-dimensional and eleven-dimensional supergravity in more detail and a new dyonic five-brane solution in ten dimensions is given. Unlike the purely electrically or magnetically charged five-brane solution the dyonic five-brane contains non-zero Ramond--Ramond fields and is therefore an intrinsically type~II solution. The solution preserves half of the type~II spacetime supersymmetries. It is obtained by applying a solution-generating $SL(2,\R) \times SL(2,\R)$ $S$~duality transformation to the purely magnetically charged five-brane solution. One of the $SL(2,\R)$ duality transformations is basically an extension to the type~II case of the six-dimensional $\Z_2$ string/string duality. We also present an action underlying the type IIB supergravity theory. |
hep-th/0604177 | Tanmay Vachaspati | Pablo Laguna, Vishnu Natchu, Richard A. Matzner, Tanmay Vachaspati | Intercommutation of Semilocal Strings and Skyrmions | 4 pages, 4 figures. Fixed typos, added references | Phys.Rev.Lett.98:041602,2007 | 10.1103/PhysRevLett.98.041602 | null | hep-th astro-ph gr-qc hep-ph | null | We study the intercommuting of semilocal strings and Skyrmions, for a wide
range of internal parameters, velocities and intersection angles by numerically
evolving the equations of motion. We find that the collisions of strings and
strings, strings and Skyrmions, and Skyrmions and Skyrmions, all lead to
intercommuting for a wide range of parameters. Even the collisions of unstable
Skyrmions and strings leads to intercommuting, demonstrating that the
phenomenon of intercommuting is very robust, extending to dissimilar field
configurations that are not stationary solutions. Even more remarkably, at
least for the semilocal U(2) formulation considered here, all intercommutations
trigger a reversion to U(1) Nielsen-Olesen strings.
| [
{
"created": "Mon, 24 Apr 2006 22:16:06 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Apr 2006 00:07:33 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Laguna",
"Pablo",
""
],
[
"Natchu",
"Vishnu",
""
],
[
"Matzner",
"Richard A.",
""
],
[
"Vachaspati",
"Tanmay",
""
]
] | We study the intercommuting of semilocal strings and Skyrmions, for a wide range of internal parameters, velocities and intersection angles by numerically evolving the equations of motion. We find that the collisions of strings and strings, strings and Skyrmions, and Skyrmions and Skyrmions, all lead to intercommuting for a wide range of parameters. Even the collisions of unstable Skyrmions and strings leads to intercommuting, demonstrating that the phenomenon of intercommuting is very robust, extending to dissimilar field configurations that are not stationary solutions. Even more remarkably, at least for the semilocal U(2) formulation considered here, all intercommutations trigger a reversion to U(1) Nielsen-Olesen strings. |
hep-th/0001041 | Arkady Tseytlin | F. Bastianelli, S. Frolov and A.A. Tseytlin | Conformal anomaly of (2,0) tensor multiplet in six dimensions and
AdS/CFT correspondence | 20 pages, latex. v2: minor corrections, references added | JHEP 0002:013,2000 | 10.1088/1126-6708/2000/02/013 | UAHEP001, OHSTPY-HEP-T-00-001 | hep-th | null | We compute the conformal anomaly of free d=6 superconformal (2,0) tensor
multiplet on generic curved background. Up to a trivial covariant
total-derivative term, it is given by the sum of the type A part proportional
to the 6-d Euler density, and the type B part containing three independent Weyl
invariants. Multiplied by factor 4N^3, the type B part of the anomaly
reproduces exactly the corresponding part of the conformal anomaly of large N
multiple M5-brane (2,0) theory as predicted (hep-th/9806087) by the AdS/CFT
correspondence. The coefficients of the type A anomaly differ by the factor 4/7
x 4 N^3, so that the free tensor multiplet anomaly does not vanish on a
Ricci-flat background. The coefficient 4N^3 is the same as found
(hep-th/9703040) in the comparison of the tensor multiplet theory and the d=11
supergravity results for the absorption cross-sections of gravitons by M5
branes, and in the comparison (hep-th/9911135) of 2- and 3-point stress tensor
correlators of the free tensor multiplet with the AdS_7 supergravity
predictions. The reason for this coincidence is that the three Weyl-invariant
terms in the anomaly are related to the $h^2$ and $h^3$ terms in the near flat
space expansion of the corresponding non-local effective action, and thus to
the 2-point and 3-point stress tensor correlators in flat background. At the
same time, the type A anomaly is related to the $h^4$ term in the non-local
part of the effective action, i.e. to a certain structure in the 4-point
correlation function of stress tensors.
| [
{
"created": "Sun, 9 Jan 2000 23:50:47 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2000 19:12:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bastianelli",
"F.",
""
],
[
"Frolov",
"S.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We compute the conformal anomaly of free d=6 superconformal (2,0) tensor multiplet on generic curved background. Up to a trivial covariant total-derivative term, it is given by the sum of the type A part proportional to the 6-d Euler density, and the type B part containing three independent Weyl invariants. Multiplied by factor 4N^3, the type B part of the anomaly reproduces exactly the corresponding part of the conformal anomaly of large N multiple M5-brane (2,0) theory as predicted (hep-th/9806087) by the AdS/CFT correspondence. The coefficients of the type A anomaly differ by the factor 4/7 x 4 N^3, so that the free tensor multiplet anomaly does not vanish on a Ricci-flat background. The coefficient 4N^3 is the same as found (hep-th/9703040) in the comparison of the tensor multiplet theory and the d=11 supergravity results for the absorption cross-sections of gravitons by M5 branes, and in the comparison (hep-th/9911135) of 2- and 3-point stress tensor correlators of the free tensor multiplet with the AdS_7 supergravity predictions. The reason for this coincidence is that the three Weyl-invariant terms in the anomaly are related to the $h^2$ and $h^3$ terms in the near flat space expansion of the corresponding non-local effective action, and thus to the 2-point and 3-point stress tensor correlators in flat background. At the same time, the type A anomaly is related to the $h^4$ term in the non-local part of the effective action, i.e. to a certain structure in the 4-point correlation function of stress tensors. |
1809.00851 | Kuntal Nayek | Kuntal Nayek, Shibaji Roy | Some aspects of non-perturbative QCD from non-susy D3 brane of Type IIB
string theory | 8 pages, 3 figures and 1 Table | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well-known that the non-supersymmetric D3 brane (a cousin of BPS D3
brane) including its black version of type IIB string theory has a decoupling
limit, where the decoupled geometry is the gravity dual of a
non-supersymmetric, non-conformal (finite temperature) quantum field theory
having some properties similar to QCD. Using the ideas of AdS/CFT we study some
non-perturbative aspects of this quantum field theory. Since in this case we
have a Yang-Mills theory (no quarks) with running coupling (non-constant
dilaton), we compute the gluon condensate in this theory as a function of
temperature and also compute the beta function. The behavior of the gluon
condensate is found to resemble much like the SU(3) lattice QCD result and the
beta function is found to be negative. We further compute both the pseudoscalar
and the scalar glueball mass spectra in this theory using WKB approximation and
find that the mass ratios of the first excited state to the ground state of the
scalar glueball are quite close to the lattice QCD results.
| [
{
"created": "Tue, 4 Sep 2018 09:16:32 GMT",
"version": "v1"
}
] | 2018-09-05 | [
[
"Nayek",
"Kuntal",
""
],
[
"Roy",
"Shibaji",
""
]
] | It is well-known that the non-supersymmetric D3 brane (a cousin of BPS D3 brane) including its black version of type IIB string theory has a decoupling limit, where the decoupled geometry is the gravity dual of a non-supersymmetric, non-conformal (finite temperature) quantum field theory having some properties similar to QCD. Using the ideas of AdS/CFT we study some non-perturbative aspects of this quantum field theory. Since in this case we have a Yang-Mills theory (no quarks) with running coupling (non-constant dilaton), we compute the gluon condensate in this theory as a function of temperature and also compute the beta function. The behavior of the gluon condensate is found to resemble much like the SU(3) lattice QCD result and the beta function is found to be negative. We further compute both the pseudoscalar and the scalar glueball mass spectra in this theory using WKB approximation and find that the mass ratios of the first excited state to the ground state of the scalar glueball are quite close to the lattice QCD results. |
1410.7826 | Edisom S. Moreira Jr. | V. A. De Lorenci, L. G. Gomes and E. S. Moreira Jr | Local thermal behaviour of a massive scalar field near a reflecting wall | 19 pages. Published version which contains a study of the Neumann
wall too | JHEP 1503 (2015) 096 | 10.1007/JHEP03(2015)096 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The mean square fluctuation and the expectation value of the
stress-energy-momentum tensor of a neutral massive scalar field at finite
temperature are determined near an infinite plane Dirichlet wall, and also near
an infinite plane Neumann wall. The flat background has an arbitrary number of
dimensions and the field is arbitrarily coupled to the vanishing curvature. It
is shown that, unlike vacuum contributions, thermal contributions are free from
boundary divergences, and that the thermal behaviour of the scalar field near a
Dirichlet wall differs considerably from that near a Neumann wall. Far from the
wall the study reveals a local version of dimensional reduction, namely,
corrections to familiar blackbody expressions are linear in the temperature,
with the corresponding coefficients given only in terms of vacuum expectation
values in a background with one less dimension. It is shown that such
corrections are "classical" (i.e., not dependent on Planck's constant) only if
the scalar field is massless. A natural conjecture that arises is that the
"local dimensional reduction" is universal since it operates for massless and
massive fields alike and regardless of the boundary conditions.
| [
{
"created": "Tue, 28 Oct 2014 21:58:58 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 2015 14:41:05 GMT",
"version": "v2"
}
] | 2015-03-23 | [
[
"De Lorenci",
"V. A.",
""
],
[
"Gomes",
"L. G.",
""
],
[
"Moreira",
"E. S.",
"Jr"
]
] | The mean square fluctuation and the expectation value of the stress-energy-momentum tensor of a neutral massive scalar field at finite temperature are determined near an infinite plane Dirichlet wall, and also near an infinite plane Neumann wall. The flat background has an arbitrary number of dimensions and the field is arbitrarily coupled to the vanishing curvature. It is shown that, unlike vacuum contributions, thermal contributions are free from boundary divergences, and that the thermal behaviour of the scalar field near a Dirichlet wall differs considerably from that near a Neumann wall. Far from the wall the study reveals a local version of dimensional reduction, namely, corrections to familiar blackbody expressions are linear in the temperature, with the corresponding coefficients given only in terms of vacuum expectation values in a background with one less dimension. It is shown that such corrections are "classical" (i.e., not dependent on Planck's constant) only if the scalar field is massless. A natural conjecture that arises is that the "local dimensional reduction" is universal since it operates for massless and massive fields alike and regardless of the boundary conditions. |
1505.01659 | Yuji Okawa | Theodore Erler, Yuji Okawa and Tomoyuki Takezaki | $A_\infty$ structure from the Berkovits formulation of open superstring
field theory | 43 pages, 1 figure | null | null | LMU-ASC 30/15, UT-Komaba/15-1 | hep-th math.AT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By formulating open superstring field theory based on the small Hilbert space
of the superconformal ghost sector, an action for the Neveu-Schwarz sector with
an $A_\infty$ structure has recently been constructed. We transform this action
to the Wess-Zumino-Witten-like form and show that this theory is related to the
Berkovits formulation of open superstring field theory based on the large
Hilbert space by partial gauge fixing and field redefinition.
| [
{
"created": "Thu, 7 May 2015 10:47:26 GMT",
"version": "v1"
}
] | 2015-05-15 | [
[
"Erler",
"Theodore",
""
],
[
"Okawa",
"Yuji",
""
],
[
"Takezaki",
"Tomoyuki",
""
]
] | By formulating open superstring field theory based on the small Hilbert space of the superconformal ghost sector, an action for the Neveu-Schwarz sector with an $A_\infty$ structure has recently been constructed. We transform this action to the Wess-Zumino-Witten-like form and show that this theory is related to the Berkovits formulation of open superstring field theory based on the large Hilbert space by partial gauge fixing and field redefinition. |
hep-th/9809174 | Dahl Park | Youngjai Kiem and Dahl Park | A Non-perturbative Evidence toward the Positive Energy Conjecture for
asymptotically locally AdS_5 IIB Supergravity on S^5 | 17 pages, 2 figures, Revtex, a reference added, Eq.(36) corrected, a
version to appear in Phys. Rev. D | Phys. Rev. D 59, 044010 (1999) | 10.1103/PhysRevD.59.044010 | KIAS-P98025, SNUTP98-108 | hep-th | null | We consider the classical solution of the type IIB supergravity spontaneously
compactified on S^5, whose metric depends only on the radial coordinate and
whose asymptotic geometry is locally that of AdS_5, i.e., R \times S^1 \times
T^2. We solve the equations of motion to obtain the general solutions
satisfying these conditions, and find that the only naked-singularity-free
solutions are the AdS black holes and AdS solitons. The other solutions, that
smoothly interpolate these two solutions, are shown to have naked singularities
even though their Ricci tensor is proportional to the metric with a negative
constant. Thus, among the possible solutions of this type, the AdS solitons are
the unique lowest energy solution; this result is consistent with the recently
proposed positive energy conjecture for the IIB AdS supergravity on S^5.
| [
{
"created": "Thu, 24 Sep 1998 10:33:06 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1998 04:28:22 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Kiem",
"Youngjai",
""
],
[
"Park",
"Dahl",
""
]
] | We consider the classical solution of the type IIB supergravity spontaneously compactified on S^5, whose metric depends only on the radial coordinate and whose asymptotic geometry is locally that of AdS_5, i.e., R \times S^1 \times T^2. We solve the equations of motion to obtain the general solutions satisfying these conditions, and find that the only naked-singularity-free solutions are the AdS black holes and AdS solitons. The other solutions, that smoothly interpolate these two solutions, are shown to have naked singularities even though their Ricci tensor is proportional to the metric with a negative constant. Thus, among the possible solutions of this type, the AdS solitons are the unique lowest energy solution; this result is consistent with the recently proposed positive energy conjecture for the IIB AdS supergravity on S^5. |
2403.14810 | Paul Leask | Paul Leask | Baby skyrmion crystals stabilized by vector mesons | 4 pages, 1 figure | Phys. Lett. B 885, 138842 (2024) | 10.1016/j.physletb.2024.138842 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this letter we study soliton crystals in the $(2+1)$-dimensional analogue
model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The
baby $\omega$-Skyrme model studied here is an $O(3)$ nonlinear $\sigma$ model
coupled to a massive vector meson, the $\omega$-meson. Using recently developed
methods in the $(3+1)$-dimensional $\omega$-Skyrme model we are able to
construct soliton crystals in this $(2+1)$-dimensional baby $\omega$-Skyrme
model. The resulting crystals form a hexagonal lattice structure and are
qualitatively and quantitatively similar to crystals observed in the standard
baby Skyrme model.
| [
{
"created": "Thu, 21 Mar 2024 19:51:51 GMT",
"version": "v1"
}
] | 2024-07-12 | [
[
"Leask",
"Paul",
""
]
] | In this letter we study soliton crystals in the $(2+1)$-dimensional analogue model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The baby $\omega$-Skyrme model studied here is an $O(3)$ nonlinear $\sigma$ model coupled to a massive vector meson, the $\omega$-meson. Using recently developed methods in the $(3+1)$-dimensional $\omega$-Skyrme model we are able to construct soliton crystals in this $(2+1)$-dimensional baby $\omega$-Skyrme model. The resulting crystals form a hexagonal lattice structure and are qualitatively and quantitatively similar to crystals observed in the standard baby Skyrme model. |
2112.03287 | Bogdan Ganchev | Bogdan Ganchev, Stefano Giusto, Anthony Houppe, Rodolfo Russo | AdS$_3$ holography for non-BPS geometries | 36 pages, updated to match journal version, source zip contains 2
Mathematica files to reproduce our perturbative expansions and 1 readme file
how to use them | null | 10.1140/epjc/s10052-022-10133-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the approach introduced in arXiv:2107.09677 we construct non-BPS
solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a
perturbation of AdS$_3\times S^3$. These solutions are both regular and
asymptotically AdS$_3\times S^3$, so according to the standard holographic
framework they must have a dual CFT interpretation as non-supersymmetric heavy
operators of the D1-D5 CFT. We provide quantitative evidence that such heavy
CFT operators are bound states of a large number of light BPS operators that
are mutually non-BPS.
| [
{
"created": "Mon, 6 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Mar 2022 22:07:13 GMT",
"version": "v2"
}
] | 2022-03-15 | [
[
"Ganchev",
"Bogdan",
""
],
[
"Giusto",
"Stefano",
""
],
[
"Houppe",
"Anthony",
""
],
[
"Russo",
"Rodolfo",
""
]
] | By using the approach introduced in arXiv:2107.09677 we construct non-BPS solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a perturbation of AdS$_3\times S^3$. These solutions are both regular and asymptotically AdS$_3\times S^3$, so according to the standard holographic framework they must have a dual CFT interpretation as non-supersymmetric heavy operators of the D1-D5 CFT. We provide quantitative evidence that such heavy CFT operators are bound states of a large number of light BPS operators that are mutually non-BPS. |
0807.2575 | Kazuharu Bamba | Kazuharu Bamba, Shin'ichi Nojiri and Sergei D. Odintsov | Future of the universe in modified gravitational theories: Approaching
to the finite-time future singularity | 25 pages, no figure, title changed, accepted in JCAP | JCAP 0810:045,2008 | 10.1088/1475-7516/2008/10/045 | null | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the future evolution of the dark energy universe in modified
gravities including $F(R)$ gravity, string-inspired scalar-Gauss-Bonnet and
modified Gauss-Bonnet ones, and ideal fluid with the inhomogeneous equation of
state (EoS). Modified Friedmann-Robertson-Walker (FRW) dynamics for all these
theories may be presented in universal form by using the effective ideal fluid
with an inhomogeneous EoS without specifying its explicit form. We construct
several examples of the modified gravity which produces accelerating
cosmologies ending at the finite-time future singularity of all four known
types by applying the reconstruction program. Some scenarios to resolve the
finite-time future singularity are presented. Among these scenarios, the most
natural one is related with additional modification of the gravitational action
in the early universe. In addition, late-time cosmology in the non-minimal
Maxwell-Einstein theory is considered. We investigate the forms of the
non-minimal gravitational coupling which generates the finite-time future
singularities and the general conditions for this coupling in order that the
finite-time future singularities cannot emerge. Furthermore, it is shown that
the non-minimal gravitational coupling can remove the finite-time future
singularities or make the singularity stronger (or weaker) in modified gravity.
| [
{
"created": "Wed, 16 Jul 2008 14:00:03 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Oct 2008 05:51:53 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Bamba",
"Kazuharu",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We investigate the future evolution of the dark energy universe in modified gravities including $F(R)$ gravity, string-inspired scalar-Gauss-Bonnet and modified Gauss-Bonnet ones, and ideal fluid with the inhomogeneous equation of state (EoS). Modified Friedmann-Robertson-Walker (FRW) dynamics for all these theories may be presented in universal form by using the effective ideal fluid with an inhomogeneous EoS without specifying its explicit form. We construct several examples of the modified gravity which produces accelerating cosmologies ending at the finite-time future singularity of all four known types by applying the reconstruction program. Some scenarios to resolve the finite-time future singularity are presented. Among these scenarios, the most natural one is related with additional modification of the gravitational action in the early universe. In addition, late-time cosmology in the non-minimal Maxwell-Einstein theory is considered. We investigate the forms of the non-minimal gravitational coupling which generates the finite-time future singularities and the general conditions for this coupling in order that the finite-time future singularities cannot emerge. Furthermore, it is shown that the non-minimal gravitational coupling can remove the finite-time future singularities or make the singularity stronger (or weaker) in modified gravity. |
1008.5012 | Kazuyuki Furuuchi | Kazuyuki Furuuchi and Kazumi Okuyama | D-branes Wrapped on Fuzzy del Pezzo Surfaces | 1+42 pages, 9 figures v2: references added v3: statements on the
structure of the Yukawa couplings weakened. published version | JHEP 1101:043,2011 | 10.1007/JHEP01(2011)043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct classical solutions in quiver gauge theories on D0-branes
probing toric del Pezzo singularities in Calabi-Yau manifolds. Our solutions
represent D4-branes wrapped around fuzzy del Pezzo surfaces. We study the
fluctuation spectrum around the fuzzy CP^2 solution in detail. We also comment
on possible applications of our fuzzy del Pezzo surfaces to the fuzzy version
of F-theory, dubbed F(uzz) theory.
| [
{
"created": "Mon, 30 Aug 2010 06:23:20 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Sep 2010 05:40:54 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jan 2011 02:31:37 GMT",
"version": "v3"
}
] | 2011-01-17 | [
[
"Furuuchi",
"Kazuyuki",
""
],
[
"Okuyama",
"Kazumi",
""
]
] | We construct classical solutions in quiver gauge theories on D0-branes probing toric del Pezzo singularities in Calabi-Yau manifolds. Our solutions represent D4-branes wrapped around fuzzy del Pezzo surfaces. We study the fluctuation spectrum around the fuzzy CP^2 solution in detail. We also comment on possible applications of our fuzzy del Pezzo surfaces to the fuzzy version of F-theory, dubbed F(uzz) theory. |
hep-th/0012199 | Olaf Lechtenfeld | E. Ivanov, S. Krivonos, O. Lechtenfeld, B. Zupnik | Partial spontaneous breaking of two-dimensional supersymmetry | 32 pages, version published in Nucl. Phys. B | Nucl.Phys. B600 (2001) 235-271 | 10.1016/S0550-3213(01)00069-4 | null | hep-th | null | We construct low-energy Goldstone superfield actions describing various
patterns of the partial spontaneous breakdown of two-dimensional N=(1,1),
N=(2,0) and N=(2,2) supersymmetries, with the main focus on the last case.
These nonlinear actions admit a representation in the superspace of the
unbroken supersymmetry as well as in a superspace of the full supersymmetry.
The natural setup for implementing the partial breaking in a self-consistent
way is provided by the appropriate central extensions of D=2 supersymmetries,
with the central charges generating shift symmetries on the Goldstone
superfields. The Goldstone superfield actions can be interpreted as manifestly
world-sheet supersymmetric actions in the static gauge of some superstrings and
D1-branes in D=3 and D=4 Minkowski spaces. As an essentially new example, we
elaborate on the action representing the 1/4 partial breaking pattern N=(2,2)
-> N=(1,0).
| [
{
"created": "Wed, 20 Dec 2000 21:40:17 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Mar 2001 18:56:56 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Lechtenfeld",
"O.",
""
],
[
"Zupnik",
"B.",
""
]
] | We construct low-energy Goldstone superfield actions describing various patterns of the partial spontaneous breakdown of two-dimensional N=(1,1), N=(2,0) and N=(2,2) supersymmetries, with the main focus on the last case. These nonlinear actions admit a representation in the superspace of the unbroken supersymmetry as well as in a superspace of the full supersymmetry. The natural setup for implementing the partial breaking in a self-consistent way is provided by the appropriate central extensions of D=2 supersymmetries, with the central charges generating shift symmetries on the Goldstone superfields. The Goldstone superfield actions can be interpreted as manifestly world-sheet supersymmetric actions in the static gauge of some superstrings and D1-branes in D=3 and D=4 Minkowski spaces. As an essentially new example, we elaborate on the action representing the 1/4 partial breaking pattern N=(2,2) -> N=(1,0). |
0712.2321 | Euro Spallucci | Patricio Gaete, Euro Spallucci | Remarks on confinement driven by axion-like particles in Yang-Mills
theories | 8 pages, Latex; typos corrected; presentation improved; 2 references
added | J.Phys.A41:185401,2008 | 10.1088/1751-8113/41/18/185401 | USM-TH-233 | hep-th | null | Features of screening and confinement are studied for a non-Abelian gauge
theory with a mixture of pseudoscalar and scalar coupling, in the case where a
constant chromo-electric, or chromo-magnetic, strength expectation value is
present. Our discussion is carried out using the gauge-invariant but
path-dependent variables formalism. We explicitly show that the static
potential profile is the sum of a Yukawa and a linear potential, leading to the
confinement of static probe charges. Interestingly, similar results have been
obtained in the context of gluodynamics in curved space-time. For only
pseudoscalar coupling, the results are radically different.
| [
{
"created": "Fri, 14 Dec 2007 10:46:33 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2008 09:33:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gaete",
"Patricio",
""
],
[
"Spallucci",
"Euro",
""
]
] | Features of screening and confinement are studied for a non-Abelian gauge theory with a mixture of pseudoscalar and scalar coupling, in the case where a constant chromo-electric, or chromo-magnetic, strength expectation value is present. Our discussion is carried out using the gauge-invariant but path-dependent variables formalism. We explicitly show that the static potential profile is the sum of a Yukawa and a linear potential, leading to the confinement of static probe charges. Interestingly, similar results have been obtained in the context of gluodynamics in curved space-time. For only pseudoscalar coupling, the results are radically different. |
1211.3414 | Gianguido Dall'Agata | G. Dall'Agata and G. Inverso | de Sitter vacua in N = 8 supergravity and slow-roll conditions | 12 pages, 5 figures. v2 references added | null | 10.1016/j.physletb.2012.11.062 | DFPD-12/TH/19, ROM2F/2012/11 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we discuss de Sitter vacua in maximal gauged supergravity in 4
dimensions. We show that, using the newly deformed theories introduced in
arxiv:1209.0760, we can obtain de Sitter vacua with arbitrarily flat tachyonic
directions in the SO(4,4)c models.
| [
{
"created": "Wed, 14 Nov 2012 21:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2012 15:27:05 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Dall'Agata",
"G.",
""
],
[
"Inverso",
"G.",
""
]
] | In this letter we discuss de Sitter vacua in maximal gauged supergravity in 4 dimensions. We show that, using the newly deformed theories introduced in arxiv:1209.0760, we can obtain de Sitter vacua with arbitrarily flat tachyonic directions in the SO(4,4)c models. |
0812.4278 | Thomas Faulkner | Thomas Faulkner and Hong Liu | Condensed matter physics of a strongly coupled gauge theory with quarks:
some novel features of the phase diagram | 34 Pages, 11 figures | null | null | 4007 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the phase diagram of the N=4 SU(N_c) super-Yang-Mills theory
coupled to N_f fundamental "quarks" at strong coupling using the gauge-gravity
correspondence. We show that in the plane of temperature v.s. baryon chemical
potential there is a critical line of third order phase transition which ends
at a tricritical point after which the transition becomes first order. Close to
the critical line there is an intriguing logarithmic behavior, which cannot
follow from a mean field type of analysis. We argue that on the string theory
side the third order phase transition is driven by the condensation of
worldsheet instantons and that this transition might become a smooth crossover
at finite 't Hooft coupling.
| [
{
"created": "Mon, 22 Dec 2008 20:26:14 GMT",
"version": "v1"
}
] | 2008-12-23 | [
[
"Faulkner",
"Thomas",
""
],
[
"Liu",
"Hong",
""
]
] | We revisit the phase diagram of the N=4 SU(N_c) super-Yang-Mills theory coupled to N_f fundamental "quarks" at strong coupling using the gauge-gravity correspondence. We show that in the plane of temperature v.s. baryon chemical potential there is a critical line of third order phase transition which ends at a tricritical point after which the transition becomes first order. Close to the critical line there is an intriguing logarithmic behavior, which cannot follow from a mean field type of analysis. We argue that on the string theory side the third order phase transition is driven by the condensation of worldsheet instantons and that this transition might become a smooth crossover at finite 't Hooft coupling. |
1805.07017 | Adalto R. Gomes | D. Bazeia, Adalto R. Gomes, K. Z. Nobrega, Fabiano C. Simas | Kink scattering in a hybrid model | 18 pages, 8 figures. v2: significant extra material and new figures | Phys. Lett. B 793 (2019) 26 | 10.1016/j.physletb.2019.04.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we consider a model where the potential has two topological
sectors connecting three adjacent minima, as occurs with the $\phi^6$ model. In
each topological sector, the potential is symmetric around the local maximum.
For $\phi>0$ there is a linear map between the model and the $\lambda\phi^4$
model. For $\phi<0$ the potential is reflected. Linear stability analysis of
kink and antikink lead to discrete and continuum modes related by a linear
coordinate transformation to those known analytically for the $\lambda\phi^4$
model. Fixing one topological sector, the structure of antikink-kink scattering
is related to the observed in the $\lambda\phi^4$ model. For kink-antikink
collisions a new structure of bounce windows appear. Depending on the initial
velocity, one can have oscillations of the scalar field at the center of mass
even for one bounce, or a change of topological sector. We also found a
structure of one-bounce, with secondary windows corresponding to the changing
of the topological sector accumulating close to each one-bounce windows. The
kink-kink collisions are characterized by a repulsive interaction and there is
no possibility of forming a bound state.
| [
{
"created": "Fri, 18 May 2018 01:49:22 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 13:25:50 GMT",
"version": "v2"
}
] | 2019-05-03 | [
[
"Bazeia",
"D.",
""
],
[
"Gomes",
"Adalto R.",
""
],
[
"Nobrega",
"K. Z.",
""
],
[
"Simas",
"Fabiano C.",
""
]
] | In this work we consider a model where the potential has two topological sectors connecting three adjacent minima, as occurs with the $\phi^6$ model. In each topological sector, the potential is symmetric around the local maximum. For $\phi>0$ there is a linear map between the model and the $\lambda\phi^4$ model. For $\phi<0$ the potential is reflected. Linear stability analysis of kink and antikink lead to discrete and continuum modes related by a linear coordinate transformation to those known analytically for the $\lambda\phi^4$ model. Fixing one topological sector, the structure of antikink-kink scattering is related to the observed in the $\lambda\phi^4$ model. For kink-antikink collisions a new structure of bounce windows appear. Depending on the initial velocity, one can have oscillations of the scalar field at the center of mass even for one bounce, or a change of topological sector. We also found a structure of one-bounce, with secondary windows corresponding to the changing of the topological sector accumulating close to each one-bounce windows. The kink-kink collisions are characterized by a repulsive interaction and there is no possibility of forming a bound state. |
1312.3261 | Eckhard Strobel | Eckhard Strobel and She-Sheng Xue | Semiclassical pair production rate for time-dependent electrical fields
with more than one component: -WKB-approach and world-line instantons | 19 pages, 2 figures, V2: some passages shortened, importance of the
location of the peak of the momentum spectrum clarified, final version to
appear in Nucl. Phys. B | Nucl. Phys. B 886 (2014) 1153-1176 | 10.1016/j.nuclphysb.2014.07.017 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytic calculation of the semiclassical electron-positron
pair creation rate by time-dependent electrical fields. We use two methods,
first the imaginary time method in the WKB-approximation and second the
world-line instanton approach. The analytic tools for both methods are
generalized to time-dependent electric fields with more than one component. For
the WKB method an expansion of the momentum spectrum of produced pairs around
the canonical momentum $\vec{P}=0$ is presented which simplifies the
computation of the pair creation rate. We argue that the world-line instanton
method of [Dunne et al., Phys. Rev. D73, 065028 (2006)] implicitly performs
this expansion of the momentum spectrum around $\vec{P}=0$. Accordingly the
generalization to more than one component is shown to agree with the WKB result
obtained via this expansion. However the expansion is only a good approximation
for the cases where the momentum spectrum is peaked around $\vec{P}=0$. Thus
the expanded WKB result and the world-line instanton method of [Dunne et al.,
Phys. Rev. D73, 065028 (2006)] as well as the generalized method presented here
are only applicable in these cases. We study the two component case of a
rotating electric field and find a new analytic closed form for the momentum
spectrum using the generalized WKB method. The momentum spectrum for this field
is not peaked around $\vec{P}=0$.
| [
{
"created": "Wed, 11 Dec 2013 18:00:53 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jul 2014 08:54:10 GMT",
"version": "v2"
}
] | 2014-08-29 | [
[
"Strobel",
"Eckhard",
""
],
[
"Xue",
"She-Sheng",
""
]
] | We present an analytic calculation of the semiclassical electron-positron pair creation rate by time-dependent electrical fields. We use two methods, first the imaginary time method in the WKB-approximation and second the world-line instanton approach. The analytic tools for both methods are generalized to time-dependent electric fields with more than one component. For the WKB method an expansion of the momentum spectrum of produced pairs around the canonical momentum $\vec{P}=0$ is presented which simplifies the computation of the pair creation rate. We argue that the world-line instanton method of [Dunne et al., Phys. Rev. D73, 065028 (2006)] implicitly performs this expansion of the momentum spectrum around $\vec{P}=0$. Accordingly the generalization to more than one component is shown to agree with the WKB result obtained via this expansion. However the expansion is only a good approximation for the cases where the momentum spectrum is peaked around $\vec{P}=0$. Thus the expanded WKB result and the world-line instanton method of [Dunne et al., Phys. Rev. D73, 065028 (2006)] as well as the generalized method presented here are only applicable in these cases. We study the two component case of a rotating electric field and find a new analytic closed form for the momentum spectrum using the generalized WKB method. The momentum spectrum for this field is not peaked around $\vec{P}=0$. |
1003.2234 | Andrew K. Waldron | David Cherney, Emanuele Latini and Andrew Waldron | Quaternionic Kaehler Detour Complexes & N=2 Supersymmetric Black Holes | 46 pages, LaTeX | null | 10.1007/s00220-010-1169-6 | null | hep-th gr-qc math.AG math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of supersymmetric spinning particle models derived from the
radial quantization of stationary, spherically symmetric black holes of four
dimensional N= 2 supergravities. By virtue of the c-map, these spinning
particles move in quaternionic Kaehler manifolds. Their spinning degrees of
freedom describe mini-superspace-reduced supergravity fermions. We quantize
these models using BRST detour complex technology. The construction of a
nilpotent BRST charge is achieved by using local (worldline) supersymmetry
ghosts to generating special holonomy transformations. (An interesting
byproduct of the construction is a novel Dirac operator on the superghost
extended Hilbert space.) The resulting quantized models are gauge invariant
field theories with fields equaling sections of special quaternionic vector
bundles. They underly and generalize the quaternionic version of Dolbeault
cohomology discovered by Baston. In fact, Baston's complex is related to the
BPS sector of the models we write down. Our results rely on a calculus of
operators on quaternionic Kaehler manifolds that follows from BRST machinery,
and although directly motivated by black hole physics, can be broadly applied
to any model relying on quaternionic geometry.
| [
{
"created": "Thu, 11 Mar 2010 01:12:49 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Cherney",
"David",
""
],
[
"Latini",
"Emanuele",
""
],
[
"Waldron",
"Andrew",
""
]
] | We study a class of supersymmetric spinning particle models derived from the radial quantization of stationary, spherically symmetric black holes of four dimensional N= 2 supergravities. By virtue of the c-map, these spinning particles move in quaternionic Kaehler manifolds. Their spinning degrees of freedom describe mini-superspace-reduced supergravity fermions. We quantize these models using BRST detour complex technology. The construction of a nilpotent BRST charge is achieved by using local (worldline) supersymmetry ghosts to generating special holonomy transformations. (An interesting byproduct of the construction is a novel Dirac operator on the superghost extended Hilbert space.) The resulting quantized models are gauge invariant field theories with fields equaling sections of special quaternionic vector bundles. They underly and generalize the quaternionic version of Dolbeault cohomology discovered by Baston. In fact, Baston's complex is related to the BPS sector of the models we write down. Our results rely on a calculus of operators on quaternionic Kaehler manifolds that follows from BRST machinery, and although directly motivated by black hole physics, can be broadly applied to any model relying on quaternionic geometry. |
hep-th/9301097 | Barton Zwiebach | H. Hata and B. Zwiebach | Developing the Covariant Batalin-Vilkovisky approach to String Theory | 39 pp. MIT-CTP-2184. --Extra references added-- | Annals Phys. 229 (1994) 177-216 | 10.1006/aphy.1994.1006 | null | hep-th | null | We investigate the variation of the string field action under changes of the
string field vertices giving rise to different decompositions of the moduli
spaces of Riemann surfaces. We establish that any such change in the string
action arises from a field transformation canonical with respect to the
Batalin-Vilkovisky (BV) antibracket, and find the explicit form of the
generator of the infinitesimal transformations. Two theories using different
decompositions of moduli space are shown to yield the same gauge fixed action
upon use of different gauge fixing conditions. We also elaborate on recent work
on the covariant BV formalism, and emphasize the necessity of a measure in the
space of two dimensional field theories in order to extend a recent analysis of
background independence to quantum string field theory.
| [
{
"created": "Sat, 23 Jan 1993 18:27:19 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 1993 19:17:51 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Hata",
"H.",
""
],
[
"Zwiebach",
"B.",
""
]
] | We investigate the variation of the string field action under changes of the string field vertices giving rise to different decompositions of the moduli spaces of Riemann surfaces. We establish that any such change in the string action arises from a field transformation canonical with respect to the Batalin-Vilkovisky (BV) antibracket, and find the explicit form of the generator of the infinitesimal transformations. Two theories using different decompositions of moduli space are shown to yield the same gauge fixed action upon use of different gauge fixing conditions. We also elaborate on recent work on the covariant BV formalism, and emphasize the necessity of a measure in the space of two dimensional field theories in order to extend a recent analysis of background independence to quantum string field theory. |
2203.16022 | Naoki Sasakura | Naoki Sasakura | Emergence of classical spacetimes in canonical tensor model | 19 pages, Contribution to the proceedings for Corfu Summer Institute
2021 "School and Workshops on Elementary Particle Physics and Gravity"
(CORFU2021) 29 August - 9 October 2021 Corfu, Greece | null | null | YITP-22-31 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the wave function of a tensor model in the canonical formalism by
Hamiltonian Monte Carlo method for Lie group symmetric or nearby values for the
argument of the wave function, and show that there emerge Lie-group symmetric
semi-classical spacetimes. More precisely, we consider some $SO(n+1)\
(n=1,2,3)$ symmetric values for the tensor argument of the wave function, and
show that there emerge discrete $n$-dimensional spheres. A key fact is that
there exist two phases, the classical phase and the quantum phase, depending on
the values of the argument of the wave function, and emergence of classical
spaces above occurs in the former phase, while fluctuations of configurations
are too large for such emergence in the latter phase. The transition between
the two phases has similarity with the Gross-Witten-Wadia transition, or that
between the one-cut and the two-cut solutions in the matrix model. Based on the
results, we give some speculations on how spacetimes evolve in the tensor
model.
| [
{
"created": "Wed, 30 Mar 2022 03:05:34 GMT",
"version": "v1"
}
] | 2022-03-31 | [
[
"Sasakura",
"Naoki",
""
]
] | We study the wave function of a tensor model in the canonical formalism by Hamiltonian Monte Carlo method for Lie group symmetric or nearby values for the argument of the wave function, and show that there emerge Lie-group symmetric semi-classical spacetimes. More precisely, we consider some $SO(n+1)\ (n=1,2,3)$ symmetric values for the tensor argument of the wave function, and show that there emerge discrete $n$-dimensional spheres. A key fact is that there exist two phases, the classical phase and the quantum phase, depending on the values of the argument of the wave function, and emergence of classical spaces above occurs in the former phase, while fluctuations of configurations are too large for such emergence in the latter phase. The transition between the two phases has similarity with the Gross-Witten-Wadia transition, or that between the one-cut and the two-cut solutions in the matrix model. Based on the results, we give some speculations on how spacetimes evolve in the tensor model. |
0709.0869 | Karim . A. Malik | James E. Lidsey and Karim A. Malik | Scaling Cosmologies from Duality Twisted Compactifications | 21 pages, 3 figures | Class.Quant.Grav.25:065004,2008 | 10.1088/0264-9381/25/6/065004 | null | hep-th astro-ph gr-qc | null | Oscillating moduli fields can support a cosmological scaling solution in the
presence of a perfect fluid when the scalar field potential satisfies
appropriate conditions. We examine when such conditions arise in
higher-dimensional, non-linear sigma-models that are reduced to four dimensions
under a generalized Scherk-Schwarz compactification. We show explicitly that
scaling behaviour is possible when the higher-dimensional action exhibits a
global SL(n,R) or O(2,2) symmetry. These underlying symmetries can be exploited
to generate non-trivial scaling solutions when the moduli fields have
non-canonical kinetic energy. We also consider the compactification of
eleven-dimensional vacuum Einstein gravity on an elliptic twisted torus.
| [
{
"created": "Thu, 6 Sep 2007 13:54:52 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lidsey",
"James E.",
""
],
[
"Malik",
"Karim A.",
""
]
] | Oscillating moduli fields can support a cosmological scaling solution in the presence of a perfect fluid when the scalar field potential satisfies appropriate conditions. We examine when such conditions arise in higher-dimensional, non-linear sigma-models that are reduced to four dimensions under a generalized Scherk-Schwarz compactification. We show explicitly that scaling behaviour is possible when the higher-dimensional action exhibits a global SL(n,R) or O(2,2) symmetry. These underlying symmetries can be exploited to generate non-trivial scaling solutions when the moduli fields have non-canonical kinetic energy. We also consider the compactification of eleven-dimensional vacuum Einstein gravity on an elliptic twisted torus. |
hep-th/9806032 | null | J.M.F. Labastida and Carlos Lozano | Duality in twisted N=4 supersymmetric gauge theories in four dimensions | 60 pages, phyzzx | Nucl.Phys. B537 (1999) 203-242 | 10.1016/S0550-3213(98)00653-1 | null | hep-th | null | We consider a twisted version of the four-dimensional N=4 supersymmetric
Yang-Mills theory with gauge groups SU(2) and SO(3), and bare masses for two of
its chiral multiplets, thereby breaking N=4 down to N=2. Using the
wall-crossing technique introduced by Moore and Witten within the u-plane
approach to twisted topological field theories, we compute the partition
function and all the topological correlation functions for the case of
simply-connected spin four-manifolds of simple type. By including 't Hooft
fluxes, we analyse the properties of the resulting formulae under duality
transformations. The partition function transforms in the same way as the one
first presented by Vafa and Witten for another twist of the N=4 supersymmetric
theory in their strong coupling test of S-duality. Both partition functions
coincide on K3. The topological correlation functions turn out to transform
covariantly under duality, following a simple pattern which seems to be
inherent in a general type of topological quantum field theories.
| [
{
"created": "Thu, 4 Jun 1998 09:54:57 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Labastida",
"J. M. F.",
""
],
[
"Lozano",
"Carlos",
""
]
] | We consider a twisted version of the four-dimensional N=4 supersymmetric Yang-Mills theory with gauge groups SU(2) and SO(3), and bare masses for two of its chiral multiplets, thereby breaking N=4 down to N=2. Using the wall-crossing technique introduced by Moore and Witten within the u-plane approach to twisted topological field theories, we compute the partition function and all the topological correlation functions for the case of simply-connected spin four-manifolds of simple type. By including 't Hooft fluxes, we analyse the properties of the resulting formulae under duality transformations. The partition function transforms in the same way as the one first presented by Vafa and Witten for another twist of the N=4 supersymmetric theory in their strong coupling test of S-duality. Both partition functions coincide on K3. The topological correlation functions turn out to transform covariantly under duality, following a simple pattern which seems to be inherent in a general type of topological quantum field theories. |
1508.02002 | Dibakar Roychowdhury | Dibakar Roychowdhury | Magnetoconductivity in chiral Lifshitz hydrodynamics | Minor clarifications added, Version To Appear In JHEP | JHEP 1509 (2015) 145 | 10.1007/JHEP09(2015)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, based on the principles of linear response theory, we compute
the longitudinal DC conductivity associated with Lifshitz like fixed points in
the presence of chiral anomalies in ($ 3+1 $) dimensions. In our analysis,
apart from having the usual anomalous contributions due to chiral anomaly, we
observe an additional and pure \textit{parity odd} effect to the
magnetoconductivity which has its origin in the broken Lorentz (boost)
invariance at a Lifshitz fixed point. We also device a holographic set up in
order to compute ($ z=2 $) Lifshitz contributions to the magnetoconductivity
precisely at strong coupling and low charge density limit.
| [
{
"created": "Sun, 9 Aug 2015 09:21:00 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 2015 18:02:43 GMT",
"version": "v2"
}
] | 2015-09-23 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | In this paper, based on the principles of linear response theory, we compute the longitudinal DC conductivity associated with Lifshitz like fixed points in the presence of chiral anomalies in ($ 3+1 $) dimensions. In our analysis, apart from having the usual anomalous contributions due to chiral anomaly, we observe an additional and pure \textit{parity odd} effect to the magnetoconductivity which has its origin in the broken Lorentz (boost) invariance at a Lifshitz fixed point. We also device a holographic set up in order to compute ($ z=2 $) Lifshitz contributions to the magnetoconductivity precisely at strong coupling and low charge density limit. |
hep-th/9811189 | Kechkin Oleg V. | Alfredo Herrera-Aguilar and Oleg Kechkin | Charging Symmetries and Linearizing Potentials for Heterotic String in
Three Dimensions | 21 pages in LaTex | Phys.Rev. D59 (1999) 124006 | 10.1103/PhysRevD.59.124006 | null | hep-th | null | Using the Ernst potential formulation we construct all it finite symmetry
transformations which preserve asymptotics of the bosonic fields of the
(d+3)--dimensional low--energy heterotic string theory compactified on a
d--torus. We combine all the dynamical variables into a single
(d+1)X(d+1+n)--dimensional matrix potential which linearly transforms under the
action of these symmetry transformations in a transparent SO(2,d-1) X
SO(2,d-1+n) way, where n is the number of Abelian vector fields. We formulate
the most general solution generation technique based on the use of these
symmetries and show that they form an invariance group of the general
Israel--Wilson--Perj'es class of solutions.
| [
{
"created": "Fri, 20 Nov 1998 14:49:47 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kechkin",
"Oleg",
""
]
] | Using the Ernst potential formulation we construct all it finite symmetry transformations which preserve asymptotics of the bosonic fields of the (d+3)--dimensional low--energy heterotic string theory compactified on a d--torus. We combine all the dynamical variables into a single (d+1)X(d+1+n)--dimensional matrix potential which linearly transforms under the action of these symmetry transformations in a transparent SO(2,d-1) X SO(2,d-1+n) way, where n is the number of Abelian vector fields. We formulate the most general solution generation technique based on the use of these symmetries and show that they form an invariance group of the general Israel--Wilson--Perj'es class of solutions. |
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