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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0809.2596 | Jyotirmoy Bhattacharya | Nabamita Banerjee, Jyotirmoy Bhattacharya, Sayantani Bhattacharyya,
Suvankar Dutta, R. Loganayagam, P. Sur\'owka | Hydrodynamics from charged black branes | 0+ 31 Pages; v2: 0+33 pages, typos corrected and new sections (in
appendix) added; v3:published version | JHEP 1101:094,2011 | 10.1007/JHEP01(2011)094 | TIFR/TH/08-37 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the recent work on fluid-gravity correspondence to charged
black-branes by determining the metric duals to arbitrary charged fluid
configuration up to second order in the boundary derivative expansion. We also
derive the energy-momentum tensor and the charge current for these
configurations up to second order in the boundary derivative expansion. We find
a new term in the charge current when there is a bulk Chern-Simons interaction
thus resolving an earlier discrepancy between thermodynamics of charged
rotating black holes and boundary hydrodynamics. We have also confirmed that
all our expressions are covariant under boundary Weyl-transformations as
expected.
| [
{
"created": "Mon, 15 Sep 2008 19:52:19 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2010 20:48:14 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Aug 2011 23:35:27 GMT",
"version": "v3"
}
] | 2011-08-23 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Dutta",
"Suvankar",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Surówka",
"P.",
""
]
] | We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the energy-momentum tensor and the charge current for these configurations up to second order in the boundary derivative expansion. We find a new term in the charge current when there is a bulk Chern-Simons interaction thus resolving an earlier discrepancy between thermodynamics of charged rotating black holes and boundary hydrodynamics. We have also confirmed that all our expressions are covariant under boundary Weyl-transformations as expected. |
2403.02700 | Emmanouil Raptakis | Emmanouil S. N. Raptakis | Aspects of superconformal symmetry | PhD thesis, 175 pages. Based on arXiv:1912.08552, arXiv:2005.08657,
arXiv:2011.11300, arXiv:2012.08159, arXiv:2104.10416, arXiv:2107.02001,
arXiv:2208.07783, arXiv:2210.17088, arXiv:2211.11162, arXiv:2211.16169,
arXiv:2301.09386 and arXiv:2305.16029; v2: reference and comment added | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this thesis we study classical aspects of superconformal field theory via
symmetry principles. Specifically, by employing the powerful setup of conformal
superspace, we obtain a plethora of new results in the fields of geometric and
higher symmetries, (super)conformal higher-spin theory and conformal
supergravity. These findings open up numerous novel research pathways.
| [
{
"created": "Tue, 5 Mar 2024 06:38:31 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2024 06:28:39 GMT",
"version": "v2"
}
] | 2024-04-22 | [
[
"Raptakis",
"Emmanouil S. N.",
""
]
] | In this thesis we study classical aspects of superconformal field theory via symmetry principles. Specifically, by employing the powerful setup of conformal superspace, we obtain a plethora of new results in the fields of geometric and higher symmetries, (super)conformal higher-spin theory and conformal supergravity. These findings open up numerous novel research pathways. |
0808.2291 | Betti Hartmann | Betti Hartmann and Momchil Minkov (Jacobs University Bremen, Germany) | p-q-superstrings in Anti-de-Sitter space-time | 16 pages including 7 figures and 1 table; figure 1 changed, some
typos corrected; final version to appear in J. Phys. A | J.Phys.A42:035401,2009 | 10.1088/1751-8113/42/3/035401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a field theoretical model for p-q-superstrings in a fixed
Anti-de-Sitter background. We find that the presence of the negative
cosmological constant tends to decrease the core radius of the strings.
Moreover, the binding energy decreases with the increase of the absolute value
of the cosmological constant. Studying the effect of the p-q-strings on
Anti-de-Sitter space, we observe that the presence of the negative cosmological
constant tends to decrease the deficit angle as compared to asymptotically flat
space-time.
| [
{
"created": "Mon, 18 Aug 2008 10:57:09 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2008 11:40:16 GMT",
"version": "v2"
}
] | 2009-01-09 | [
[
"Hartmann",
"Betti",
"",
"Jacobs University Bremen, Germany"
],
[
"Minkov",
"Momchil",
"",
"Jacobs University Bremen, Germany"
]
] | We study a field theoretical model for p-q-superstrings in a fixed Anti-de-Sitter background. We find that the presence of the negative cosmological constant tends to decrease the core radius of the strings. Moreover, the binding energy decreases with the increase of the absolute value of the cosmological constant. Studying the effect of the p-q-strings on Anti-de-Sitter space, we observe that the presence of the negative cosmological constant tends to decrease the deficit angle as compared to asymptotically flat space-time. |
hep-th/0608188 | Jason Kumar | Bhaskar Dutta and Jason Kumar | Hidden Sector Baryogenesis | 14 pages, LaTeX. References added | Phys.Lett.B643:284-289,2006 | 10.1016/j.physletb.2006.09.069 | null | hep-th hep-ph | null | We introduce a novel mechanism for baryogenesis, in which mixed anomalies
between the hidden sector and $U(1)_{baryon}$ drive the baryon asymmetry. We
demonstrate that this mechanism occurs quite naturally in intersecting-brane
constructions of the Standard Model, and show that it solves some of the
theoretical difficulties faced in matching baryogenesis to experimental bounds.
We illustrate with a specific example model. We also discuss the possible
signals at the LHC.
| [
{
"created": "Fri, 25 Aug 2006 15:41:54 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Oct 2006 03:09:24 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dutta",
"Bhaskar",
""
],
[
"Kumar",
"Jason",
""
]
] | We introduce a novel mechanism for baryogenesis, in which mixed anomalies between the hidden sector and $U(1)_{baryon}$ drive the baryon asymmetry. We demonstrate that this mechanism occurs quite naturally in intersecting-brane constructions of the Standard Model, and show that it solves some of the theoretical difficulties faced in matching baryogenesis to experimental bounds. We illustrate with a specific example model. We also discuss the possible signals at the LHC. |
hep-th/0604192 | Sugumi Kanno | Sugumi Kanno, Jiro Soda | Lorentz Violating Inflation | 7 pages, 1 figure | Phys.Rev. D74 (2006) 063505 | 10.1103/PhysRevD.74.063505 | null | hep-th astro-ph gr-qc hep-ph | null | We explore the impact of Lorentz violation on the inflationary scenario. More
precisely, we study the inflationary scenario in the scalar-vector-tensor
theory where the vector is constrained to be unit and time like. It turns out
that the Lorentz violating vector affects the dynamics of the chaotic
inflationary model and divides the inflationary stage into two parts; the
Lorentz violating stage and the standard slow roll stage. We show that the
universe is expanding as an exact de Sitter spacetime in the Lorentz violating
stage although the inflaton field is rolling down the potential. Much more
interestingly, we find exact Lorentz violating inflationary solutions in the
absence of the inflaton potential. In this case, the inflation is completely
associated with the Lorentz violation. We also mention some consequences of
Lorentz violating inflation which can be tested by observations.
| [
{
"created": "Wed, 26 Apr 2006 02:14:34 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
]
] | We explore the impact of Lorentz violation on the inflationary scenario. More precisely, we study the inflationary scenario in the scalar-vector-tensor theory where the vector is constrained to be unit and time like. It turns out that the Lorentz violating vector affects the dynamics of the chaotic inflationary model and divides the inflationary stage into two parts; the Lorentz violating stage and the standard slow roll stage. We show that the universe is expanding as an exact de Sitter spacetime in the Lorentz violating stage although the inflaton field is rolling down the potential. Much more interestingly, we find exact Lorentz violating inflationary solutions in the absence of the inflaton potential. In this case, the inflation is completely associated with the Lorentz violation. We also mention some consequences of Lorentz violating inflation which can be tested by observations. |
hep-th/9509047 | Luiz Claudio Queiroz Vilar | M. Carvalho, L.C.Q. Vilar, C.A.G. Sasaki and S.P. Sorella | BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case | 19 pages, latex, no figures, latex improved | J.Math.Phys.37:5310-5324,1996 | 10.1063/1.531707 | CBPF-NF-062/95 | hep-th | null | We present here the zero curvature formulation for a wide class of field
theory models. This formalism, which relies on the existence of an operator
$\d$ which decomposes the exterior space-time derivative as a BRS commutator,
turns out to be particularly useful in order to solve the Wess-Zumino
consistency condition. The examples of the topological theories and of the
$B$-$C$ string ghost system are considered in detail.
| [
{
"created": "Fri, 8 Sep 1995 22:11:29 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Sep 1995 01:35:13 GMT",
"version": "v2"
}
] | 2010-02-04 | [
[
"Carvalho",
"M.",
""
],
[
"Vilar",
"L. C. Q.",
""
],
[
"Sasaki",
"C. A. G.",
""
],
[
"Sorella",
"S. P.",
""
]
] | We present here the zero curvature formulation for a wide class of field theory models. This formalism, which relies on the existence of an operator $\d$ which decomposes the exterior space-time derivative as a BRS commutator, turns out to be particularly useful in order to solve the Wess-Zumino consistency condition. The examples of the topological theories and of the $B$-$C$ string ghost system are considered in detail. |
hep-th/0610061 | Denis Kochan | Denis Kochan | Noncommutative Lagrange Mechanics | This is a contribution to the Proc. of the 3-rd Microconference
"Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic),
published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 4:028,2008 | 10.3842/SIGMA.2008.028 | null | hep-th | null | It is proposed how to impose a general type of ''noncommutativity'' within
classical mechanics from first principles. Formulation is performed in
completely alternative way, i.e. without any resort to fuzzy and/or star
product philosophy, which are extensively applied within noncommutative quantum
theories. Newton-Lagrange noncommutative equations of motion are formulated and
their properties are analyzed from the pure geometrical point of view. It is
argued that the dynamical quintessence of the system consists in its kinetic
energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus
the inertia geodesics of the free motion. Throughout the paper,
''noncommutativity'' is considered as an internal geometric structure of the
configuration space, which can not be ''observed'' per se. Manifestation of the
noncommutative phenomena is mediated by the interaction of the system with
noncommutative background under the consideration. The simplest model of the
interaction (minimal coupling) is proposed and it is shown that guiding affine
connection is modified by the quadratic analog of the Lorentz electromagnetic
force (contortion term).
| [
{
"created": "Thu, 5 Oct 2006 09:15:17 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 18:39:40 GMT",
"version": "v2"
}
] | 2008-12-19 | [
[
"Kochan",
"Denis",
""
]
] | It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star product philosophy, which are extensively applied within noncommutative quantum theories. Newton-Lagrange noncommutative equations of motion are formulated and their properties are analyzed from the pure geometrical point of view. It is argued that the dynamical quintessence of the system consists in its kinetic energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus the inertia geodesics of the free motion. Throughout the paper, ''noncommutativity'' is considered as an internal geometric structure of the configuration space, which can not be ''observed'' per se. Manifestation of the noncommutative phenomena is mediated by the interaction of the system with noncommutative background under the consideration. The simplest model of the interaction (minimal coupling) is proposed and it is shown that guiding affine connection is modified by the quadratic analog of the Lorentz electromagnetic force (contortion term). |
2207.01067 | Lukas Lindwasser | Lukas W. Lindwasser, E.T. Tomboulis | Searching for Gravity Without a Metric | Published version | Phys. Rev. D. 106 (2022) 084026 | 10.1103/PhysRevD.106.084026 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Recently it has been explicitly shown how a theory with global
$GL(d,\mathbb{R})$ coordinate (affine) invariance which is spontaneously broken
down to its Lorentz subgroup will have as its Goldstone fields enough degrees
of freedom to create a metric and a covariant derivative arXiv:1105.5848. Such
a theory would constitute an effective theory of gravity. So far however, no
explicit theory has been found which exhibits this symmetry breaking pattern,
mainly due to the difficulty of even writing down a $GL(d,\mathbb{R})$
invariant actions in the absence of a metric. In this paper we explicitly
construct an affine generalization of the Dirac action employing infinite
dimensional spinorial representations of the group. This implies that it is
built from an infinite number of spinor Lorentz multiplets. We introduce a
systematic procedure for obtaining $GL(d,\mathbb{R})$ invariant interaction
terms to obtain quite general interacting models. Such models have order
operators whose expectation value can break affine symmetry to Poincar\'{e}
symmetry. We discuss possible interactions and mechanisms for this symmetry
breaking to occur, which would provide a dynamical explanation of the
Lorentzian signature of spacetime.
| [
{
"created": "Sun, 3 Jul 2022 15:45:00 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2022 02:09:00 GMT",
"version": "v2"
}
] | 2022-10-20 | [
[
"Lindwasser",
"Lukas W.",
""
],
[
"Tomboulis",
"E. T.",
""
]
] | Recently it has been explicitly shown how a theory with global $GL(d,\mathbb{R})$ coordinate (affine) invariance which is spontaneously broken down to its Lorentz subgroup will have as its Goldstone fields enough degrees of freedom to create a metric and a covariant derivative arXiv:1105.5848. Such a theory would constitute an effective theory of gravity. So far however, no explicit theory has been found which exhibits this symmetry breaking pattern, mainly due to the difficulty of even writing down a $GL(d,\mathbb{R})$ invariant actions in the absence of a metric. In this paper we explicitly construct an affine generalization of the Dirac action employing infinite dimensional spinorial representations of the group. This implies that it is built from an infinite number of spinor Lorentz multiplets. We introduce a systematic procedure for obtaining $GL(d,\mathbb{R})$ invariant interaction terms to obtain quite general interacting models. Such models have order operators whose expectation value can break affine symmetry to Poincar\'{e} symmetry. We discuss possible interactions and mechanisms for this symmetry breaking to occur, which would provide a dynamical explanation of the Lorentzian signature of spacetime. |
2103.10105 | Loriano Bonora | L. Bonora, S. Giaccari | HS Yang-Mills-like models: a review | 15 pages. Comment and footnote added. arXiv admin note: text overlap
with arXiv:2011.00734, arXiv:1812.05030 | Journal Physics AUC, Vol 30(II) 2020 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the attempt to construct massless gauge field theories in Minkowski
spacetime that go under the name of HS-YM. We present their actions and their
symmetries. We motivate their gravitational interpretation. In particular we
show how to recover the local Lorentz invariance, which is absent in the
original formulation of the theories. Then we propose a perturbative
quantization in the so-called frozen momentum frame. We discuss physical and
unphysical modes and show how to deal with them. Finally we uncover the gauge
symmetry hidden under such unphysical modes. This requires a nonlocal
reformulation of the theory, which is, however, characterized by an augmented
degree of symmetry.
| [
{
"created": "Thu, 18 Mar 2021 09:30:25 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2021 07:17:22 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Bonora",
"L.",
""
],
[
"Giaccari",
"S.",
""
]
] | We review the attempt to construct massless gauge field theories in Minkowski spacetime that go under the name of HS-YM. We present their actions and their symmetries. We motivate their gravitational interpretation. In particular we show how to recover the local Lorentz invariance, which is absent in the original formulation of the theories. Then we propose a perturbative quantization in the so-called frozen momentum frame. We discuss physical and unphysical modes and show how to deal with them. Finally we uncover the gauge symmetry hidden under such unphysical modes. This requires a nonlocal reformulation of the theory, which is, however, characterized by an augmented degree of symmetry. |
1507.07890 | Majid Monemzadeh Dr. | Salman Abarghouei Nejad, Mehdi Dehghani, Majid Monemzadeh | Fundamental Symmetries of the Modified Anyonic Particle | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We try to increase the fundamental symmetries of the anyonic particle with
the help of the symplectic formalism of constrained systems and gauging the
model. The main idea of this approach is based on the embedding of the model in
an extended phase space. After the gauging process had done, we obtain
generators of gauge transformations of the model. Finally, by extracting the
corresponding Poisson structure of all constraints, we compare the effect of
gauging on the the phase spaces, the number of physical degrees of freedom, and
canonical structures of both primary and gauged models.
| [
{
"created": "Tue, 28 Jul 2015 18:32:58 GMT",
"version": "v1"
}
] | 2015-07-29 | [
[
"Nejad",
"Salman Abarghouei",
""
],
[
"Dehghani",
"Mehdi",
""
],
[
"Monemzadeh",
"Majid",
""
]
] | We try to increase the fundamental symmetries of the anyonic particle with the help of the symplectic formalism of constrained systems and gauging the model. The main idea of this approach is based on the embedding of the model in an extended phase space. After the gauging process had done, we obtain generators of gauge transformations of the model. Finally, by extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the the phase spaces, the number of physical degrees of freedom, and canonical structures of both primary and gauged models. |
2012.08021 | Andre Alves Lima | A. A. Lima, G. M. Sotkov, M. Stanishkov | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT | 27 pages, 1 figure; V2 - corrected and improved version; V3 - 37
pages, 1 figure; extended, improved version; new discussions and references
added; to appear in JHEP | null | 10.1007/JHEP07(2021)211 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the effect of the marginal deformation of the $\cal N = (4, 4)$
superconformal $(T^4)^N /S_N$ orbifold theory on a doublet of R-neutral twisted
Ramond fields, in the large-$N$ approximation. Our analysis of their dynamics
explores the explicit analytic form of the genus-zero four-point function
involving two R-neutral Ramond fields and two deformation operators. We compute
this correlation function with two different approaches: the Lunin-Mathur
path-integral technique and the stress-tensor method. From its short distance
limits, we extract the OPE structure constants and the scaling dimensions of
non-BPS fields appearing in the fusion. In the deformed CFT, at second order in
the deformation parameter, the two-point function of the $n$-twisted Ramond
fields is UV-divergent. We perform an appropriate regularization, together with
a renormalization of the undeformed fields, obtaining finite, well-defined
corrections to their two-point functions and their bare conformal weights, for
$n < N$. The fields with maximal twist $n=N$ remain protected from
renormalization, with vanishing anomalous dimensions.
| [
{
"created": "Tue, 15 Dec 2020 00:37:04 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2021 19:56:18 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Jul 2021 01:16:06 GMT",
"version": "v3"
}
] | 2021-08-18 | [
[
"Lima",
"A. A.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Stanishkov",
"M.",
""
]
] | We describe the effect of the marginal deformation of the $\cal N = (4, 4)$ superconformal $(T^4)^N /S_N$ orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-$N$ approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the $n$-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for $n < N$. The fields with maximal twist $n=N$ remain protected from renormalization, with vanishing anomalous dimensions. |
hep-th/0609084 | Pascal Grange | Pascal Grange, Sakura Schafer-Nameki | T-duality with H-flux: non-commutativity, T-folds and G x G structure | 25 pages, LaTeX; v2: typos corrected, references added | Nucl.Phys.B770:123-144,2007 | 10.1016/j.nuclphysb.2007.02.003 | null | hep-th | null | Various approaches to T-duality with NSNS three-form flux are reconciled.
Non-commutative torus fibrations are shown to be the open-string version of
T-folds. The non-geometric T-dual of a three-torus with uniform flux is
embedded into a generalized complex six-torus, and the non-geometry is probed
by D0-branes regarded as generalized complex submanifolds. The
non-commutativity scale, which is present in these compactifications, is given
by a holomorphic Poisson bivector that also encodes the variation of the
dimension of the world-volume of D-branes under monodromy. This bivector is
shown to exist in SU(3) x SU(3) structure compactifications, which have been
proposed as mirrors to NSNS-flux backgrounds. The two SU(3)-invariant spinors
are generically not parallel, thereby giving rise to a non-trivial Poisson
bivector. Furthermore we show that for non-geometric T-duals, the Poisson
bivector may not be decomposable into the tensor product of vectors.
| [
{
"created": "Tue, 12 Sep 2006 18:03:41 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Sep 2006 13:39:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Grange",
"Pascal",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | Various approaches to T-duality with NSNS three-form flux are reconciled. Non-commutative torus fibrations are shown to be the open-string version of T-folds. The non-geometric T-dual of a three-torus with uniform flux is embedded into a generalized complex six-torus, and the non-geometry is probed by D0-branes regarded as generalized complex submanifolds. The non-commutativity scale, which is present in these compactifications, is given by a holomorphic Poisson bivector that also encodes the variation of the dimension of the world-volume of D-branes under monodromy. This bivector is shown to exist in SU(3) x SU(3) structure compactifications, which have been proposed as mirrors to NSNS-flux backgrounds. The two SU(3)-invariant spinors are generically not parallel, thereby giving rise to a non-trivial Poisson bivector. Furthermore we show that for non-geometric T-duals, the Poisson bivector may not be decomposable into the tensor product of vectors. |
1407.2355 | Kiyoshi Kamimura | Carles Batlle, Joaquim Gomis, Kiyoshi Kamimura and Jorge Zanelli | Dynamical sectors for a spinning particle in AdS_3 | 12 pages, 1 figure, Some comments, references and formulas are added | Phys. Rev. D 90, 065017 (2014) | 10.1103/PhysRevD.90.065017 | ICCUB-14-053 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dynamics of the motion of a particle of mass M and spin J in
AdS_3. The study reveals the presence of different dynamical sectors depending
on the relative values of M, J and the AdS_3 radius R. For the subcritical M^2
R^2-J^2 >0 and supercritical M^2 R^2-J^2<0 cases, it is seen that the equations
of motion give the geodesics of AdS_3. For the critical case M^2R^2=J^2 there
exist extra gauge transformations which further reduce the physical degrees of
freedom, and the motion corresponds to the geodesics of AdS_2. This result
should be useful in the holographic interpretation of the entanglement entropy
for 2d conformal field theories with gravitational anomalies.
| [
{
"created": "Wed, 9 Jul 2014 05:10:25 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2014 02:16:46 GMT",
"version": "v2"
}
] | 2014-09-17 | [
[
"Batlle",
"Carles",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Zanelli",
"Jorge",
""
]
] | We consider the dynamics of the motion of a particle of mass M and spin J in AdS_3. The study reveals the presence of different dynamical sectors depending on the relative values of M, J and the AdS_3 radius R. For the subcritical M^2 R^2-J^2 >0 and supercritical M^2 R^2-J^2<0 cases, it is seen that the equations of motion give the geodesics of AdS_3. For the critical case M^2R^2=J^2 there exist extra gauge transformations which further reduce the physical degrees of freedom, and the motion corresponds to the geodesics of AdS_2. This result should be useful in the holographic interpretation of the entanglement entropy for 2d conformal field theories with gravitational anomalies. |
hep-th/9410134 | Pio Jose Arias Gonzalez | P.J.Arias and A.Restuccia | Topological Sectors of Spin 1 Theories} in 2+1 Dimensions} | 11 pages | Phys.Lett.B347:241-246,1995 | 10.1016/0370-2693(95)00058-S | null | hep-th | null | It is shown that the Topological Massive and ``Self-dual'' theories, which
are known to provide locally equivalent descriptions of spin 1 theories in 2+1
dimensions, have different global properties when formulated over topologically
non-trivial regions of space-time. The partition function of these theories,
when constructed on an arbitrary Riemannian manifold, differ by a topological
factor, which is equal to the partition function of the pure Chern-Simons
theory. This factor is related to the space of solutions of the field equations
of the Topological Massive Theory for which the connection is asymptotically
flat but not gauge equivalent to zero. A new covariant, first order, gauge
action,which generalize the ``Self-dual'' action, is then proposed. It is
obtained by sewing local self-dual theories. Its global equivalence to the
Topological Massive gauge theory is shown.
| [
{
"created": "Tue, 18 Oct 1994 21:44:12 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Arias",
"P. J.",
""
],
[
"Restuccia",
"A.",
""
]
] | It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically non-trivial regions of space-time. The partition function of these theories, when constructed on an arbitrary Riemannian manifold, differ by a topological factor, which is equal to the partition function of the pure Chern-Simons theory. This factor is related to the space of solutions of the field equations of the Topological Massive Theory for which the connection is asymptotically flat but not gauge equivalent to zero. A new covariant, first order, gauge action,which generalize the ``Self-dual'' action, is then proposed. It is obtained by sewing local self-dual theories. Its global equivalence to the Topological Massive gauge theory is shown. |
hep-th/9803230 | Silvia Penati | Silvia Penati, Andrea Refolli, Alexander Sevrin and Daniela Zanon | Geometry and beta-functions for N=2 matter models in two dimensions | latex file, 20 pages, no figures | Nucl.Phys. B533 (1998) 593-610 | 10.1016/S0550-3213(98)00507-0 | IFUM-612-FT, VUB/TENA/98/2 | hep-th | null | We study renormalizable nonlinear sigma-models in two dimensions with N=2
supersymmetry described in superspace in terms of chiral and complex linear
superfields. The geometrical structure of the underlying manifold is
investigated and the one-loop divergent contribution to the effective action is
computed. The condition of vanishing beta-function allows to identify a class
of models which satisfy this requirement and possess N=4 supersymmetry.
| [
{
"created": "Fri, 27 Mar 1998 10:46:21 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Penati",
"Silvia",
""
],
[
"Refolli",
"Andrea",
""
],
[
"Sevrin",
"Alexander",
""
],
[
"Zanon",
"Daniela",
""
]
] | We study renormalizable nonlinear sigma-models in two dimensions with N=2 supersymmetry described in superspace in terms of chiral and complex linear superfields. The geometrical structure of the underlying manifold is investigated and the one-loop divergent contribution to the effective action is computed. The condition of vanishing beta-function allows to identify a class of models which satisfy this requirement and possess N=4 supersymmetry. |
0906.2460 | Mohammad Sami | I. Thongkool, M. Sami, R. Gannouji and S. Jhingan | Constraining $f(R)$ gravity models with disappearing cosmological
constant | 9 pages and 4 figures, minor clarifications and corrections added,
final version to appear in PRD | Phys.Rev.D80:043523,2009 | 10.1103/PhysRevD.80.043523 | null | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $f(R)$ gravity models proposed by Hu-Sawicki and Starobinsky are generic
for local gravity constraints to be evaded. The large deviations from these
models either result into violation of local gravity constraints or the
modifications are not distinguishable from cosmological constant. The curvature
singularity in these models is generic but can be avoided provided that proper
fine tuning is imposed on the evolution of scalaron in the high curvature
regime. In principle, the problem can be circumvented by incorporating
quadratic curvature correction in the Lagrangian though it might be quite
challenging to probe the relevant region numerically.
| [
{
"created": "Sat, 13 Jun 2009 09:13:39 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 2009 05:43:17 GMT",
"version": "v2"
}
] | 2010-03-26 | [
[
"Thongkool",
"I.",
""
],
[
"Sami",
"M.",
""
],
[
"Gannouji",
"R.",
""
],
[
"Jhingan",
"S.",
""
]
] | The $f(R)$ gravity models proposed by Hu-Sawicki and Starobinsky are generic for local gravity constraints to be evaded. The large deviations from these models either result into violation of local gravity constraints or the modifications are not distinguishable from cosmological constant. The curvature singularity in these models is generic but can be avoided provided that proper fine tuning is imposed on the evolution of scalaron in the high curvature regime. In principle, the problem can be circumvented by incorporating quadratic curvature correction in the Lagrangian though it might be quite challenging to probe the relevant region numerically. |
2301.05934 | Herondy Mota | \'Ewerton J. B. Ferreira, Eliza M. B. Guedes and Herondy F. Santana
Mota | Quantum Brownian motion induced by an inhomogeneous tridimensional space
and a $S^1\times R^3$ topological space-time | 32 pages, 9 figures, version accepted for publication in JHEP | null | 10.1007/JHEP04(2023)111 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper we investigate the Quantum Brownian motion of a point particle
induced by quantum vacuum fluctuations of a massless scalar field in (3 +
1)-dimensional Minkowski spacetime with distinct conditions (Dirichlet,
Neumann, mixed and quasiperiodic). The modes of the field are confined and
compactified to a finite length region, which consequently provides a natural
measure scale for the system. Useful expressions for the Wightman function have
been obtained, which allow us to calculate analytical expressions for the
velocity dispersion in all condition cases considered. We also obtain
expressions for the velocity dispersion in the short and late time regimes.
Finally, we exhibit some graphs in order to show the behavior of the velocity
dispersions, discussing important divergencies that are present in our results.
| [
{
"created": "Sat, 14 Jan 2023 15:25:20 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2023 12:20:16 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Ferreira",
"Éwerton J. B.",
""
],
[
"Guedes",
"Eliza M. B.",
""
],
[
"Mota",
"Herondy F. Santana",
""
]
] | In this paper we investigate the Quantum Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless scalar field in (3 + 1)-dimensional Minkowski spacetime with distinct conditions (Dirichlet, Neumann, mixed and quasiperiodic). The modes of the field are confined and compactified to a finite length region, which consequently provides a natural measure scale for the system. Useful expressions for the Wightman function have been obtained, which allow us to calculate analytical expressions for the velocity dispersion in all condition cases considered. We also obtain expressions for the velocity dispersion in the short and late time regimes. Finally, we exhibit some graphs in order to show the behavior of the velocity dispersions, discussing important divergencies that are present in our results. |
2004.01073 | Ulf Lindstr\"om | Ulf Lindstr\"om | Covariant Hamiltonians, sigma models and supersymmetry | Contribution to the Corfu Summer Institute 2019 "School and Workshops
on Elementary Particle Physics and Gravity" (CORFU2019) 31 August - 25
September 2019, Corfu, Greece | null | null | Uppsala Preprint: UUITP-07/20, Imperial Preprint:
Imperial-TP-2020-UL-01/20 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a phase space with spinorial momenta, corresponding to fermionic
derivatives, for a 2d supersymmetric (1, 1) sigma model. We show that there is
a generalisation of the covariant De Donder-Weyl Hamiltonian formulation on
this phase space with canonical equations equivalent to the Lagrangian
formulation, find the corresponding multisymplectic form and Hamiltonian
multivectors. The covariance of the formulation makes it possible to see how
additional non-manifest supersymmetries arise in analogy to those of the
Lagrangian formulation. We then observe that an intermediate phase space
Lagrangian defined on the sum of the tangent and cotanget spaces is a first
order Lagrangian for the sigma model and derive additional supersymmetries for
this.
| [
{
"created": "Thu, 2 Apr 2020 15:27:31 GMT",
"version": "v1"
}
] | 2020-04-03 | [
[
"Lindström",
"Ulf",
""
]
] | We introduce a phase space with spinorial momenta, corresponding to fermionic derivatives, for a 2d supersymmetric (1, 1) sigma model. We show that there is a generalisation of the covariant De Donder-Weyl Hamiltonian formulation on this phase space with canonical equations equivalent to the Lagrangian formulation, find the corresponding multisymplectic form and Hamiltonian multivectors. The covariance of the formulation makes it possible to see how additional non-manifest supersymmetries arise in analogy to those of the Lagrangian formulation. We then observe that an intermediate phase space Lagrangian defined on the sum of the tangent and cotanget spaces is a first order Lagrangian for the sigma model and derive additional supersymmetries for this. |
hep-th/9512224 | Bala Sathiapalan | B. Sathiapalan | Loop Variables and Gauge Invariant Interactions of Massive Modes in
String Theory | Latex file, 19 pages | Mod.Phys.Lett. A11 (1996) 571-586 | 10.1142/S0217732396000606 | null | hep-th | null | The loop variable approach used earlier to obtain free equations of motion
for the massive modes of the open string, is generalized to include interaction
terms. These terms, which are polynomial, involve only modes of strictly lower
mass. Considerations based on operator product expansions suggest that these
equations are particular truncations of the full string equations. The method
involves broadening the loop to a band of finite thickness that describes all
the different interacting strings. Interestingly, in terms of these variables,
the theory appears non-interacting.
| [
{
"created": "Sun, 31 Dec 1995 15:24:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Sathiapalan",
"B.",
""
]
] | The loop variable approach used earlier to obtain free equations of motion for the massive modes of the open string, is generalized to include interaction terms. These terms, which are polynomial, involve only modes of strictly lower mass. Considerations based on operator product expansions suggest that these equations are particular truncations of the full string equations. The method involves broadening the loop to a band of finite thickness that describes all the different interacting strings. Interestingly, in terms of these variables, the theory appears non-interacting. |
hep-th/9502113 | Jim Hetrick | J.E. Hetrick (U. Arizona), Y. Hosotani (U. Minnesota), and S. Iso (U.
Tokyo) | The Massive Multi-flavor Schwinger Model | 16 pages, latex, uses epsf.sty; replaced with latex src. | Phys.Lett.B350:92-102,1995 | 10.1016/0370-2693(95)00310-H | UMN-TH-1324/95, AZPH-TH/95-1, UT-698 | hep-th cond-mat hep-lat | null | QED with N species of massive fermions on a circle of circumference L is
analyzed by bosonization. The problem is reduced to the quantum mechanics of
the 2N fermionic and one gauge field zero modes on the circle, with nontrivial
interactions induced by the chiral anomaly and fermions masses. The solution is
given for N=2 and fermion masses (m) much smaller than the mass of the U(1)
boson with mass \mu=\sqrt{2e^2/\pi} when all fermions satisfy the same boundary
conditions. We show that the two limits m \go 0 and L \go \infty fail to
commute and that the behavior of the theory critically depends on the value of
mL|\cos\onehalf\theta| where \theta is the vacuum angle parameter. When the
volume is large \mu L \gg 1, the fermion condensate <\psibar \psi> is
-(e^{4\gamma} m\mu^2 \cos^4\onehalf\theta/4\pi^3)^{1/3} or $-2e^\gamma m\mu L
\cos^2 \onehalf\theta /\pi^2 for mL(\mu L)^{1/2} |\cos\onehalf\theta| \gg 1 or
\ll 1, respectively. Its correlation function decays algebraically with a
critical exponent \eta=1 when m\cos\onehalf\theta=0.
| [
{
"created": "Sat, 18 Feb 1995 00:19:14 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Feb 1995 21:26:30 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Hetrick",
"J. E.",
"",
"U. Arizona"
],
[
"Hosotani",
"Y.",
"",
"U. Minnesota"
],
[
"Iso",
"S.",
"",
"U.\n Tokyo"
]
] | QED with N species of massive fermions on a circle of circumference L is analyzed by bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and one gauge field zero modes on the circle, with nontrivial interactions induced by the chiral anomaly and fermions masses. The solution is given for N=2 and fermion masses (m) much smaller than the mass of the U(1) boson with mass \mu=\sqrt{2e^2/\pi} when all fermions satisfy the same boundary conditions. We show that the two limits m \go 0 and L \go \infty fail to commute and that the behavior of the theory critically depends on the value of mL|\cos\onehalf\theta| where \theta is the vacuum angle parameter. When the volume is large \mu L \gg 1, the fermion condensate <\psibar \psi> is -(e^{4\gamma} m\mu^2 \cos^4\onehalf\theta/4\pi^3)^{1/3} or $-2e^\gamma m\mu L \cos^2 \onehalf\theta /\pi^2 for mL(\mu L)^{1/2} |\cos\onehalf\theta| \gg 1 or \ll 1, respectively. Its correlation function decays algebraically with a critical exponent \eta=1 when m\cos\onehalf\theta=0. |
1411.6888 | Wout Merbis | Wout Merbis | Chern-Simons-like Theories of Gravity | 201 pages, 3 figures, PhD thesis defended at the University of
Groningen on September 26, 2014. Contains results previously obtained in
arXiv:1307.2774, arXiv:1401.5386, arXiv:1402.1688, arXiv:1404.2867,
arXiv:1405.6213 and arXiv:1410.6164 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this PhD thesis, we investigate a wide class of three-dimensional massive
gravity models and show how most of them (if not all) can be brought in a
first-order, Chern-Simons-like, formulation. This allows for a general analysis
of the Hamiltonian for this wide class of models. From the Chern-Simons-like
perspective, the known higher-derivative theories of 3D massive gravity, like
Topologically Massive Gravity and New Massive Gravity, can be extended to a
wider class of models. These models are shown to be free of (possibly
ghost-like) scalar excitations and exhibit improved behavior with respect to
Anti-de Sitter holography; the new models have regions in their parameter space
where positive boundary central charge is compatible with positive mass and
energy for the massive spin-2 mode. We discuss the construction of several of
these improved models in detail and derive the necessary constraints needed to
remove any unphysical degree of freedom. We also comment on the AdS/LCFT
correspondence which arises when the massive spin-2 mode becomes massless and
is replaced by a logarithmic mode. Most of the results have been published
elsewhere, however, a special effort is made here to present the aspects of
Chern-Simons-like theories in a pedagogical and comprehensive way.
| [
{
"created": "Tue, 25 Nov 2014 15:11:13 GMT",
"version": "v1"
}
] | 2014-11-26 | [
[
"Merbis",
"Wout",
""
]
] | In this PhD thesis, we investigate a wide class of three-dimensional massive gravity models and show how most of them (if not all) can be brought in a first-order, Chern-Simons-like, formulation. This allows for a general analysis of the Hamiltonian for this wide class of models. From the Chern-Simons-like perspective, the known higher-derivative theories of 3D massive gravity, like Topologically Massive Gravity and New Massive Gravity, can be extended to a wider class of models. These models are shown to be free of (possibly ghost-like) scalar excitations and exhibit improved behavior with respect to Anti-de Sitter holography; the new models have regions in their parameter space where positive boundary central charge is compatible with positive mass and energy for the massive spin-2 mode. We discuss the construction of several of these improved models in detail and derive the necessary constraints needed to remove any unphysical degree of freedom. We also comment on the AdS/LCFT correspondence which arises when the massive spin-2 mode becomes massless and is replaced by a logarithmic mode. Most of the results have been published elsewhere, however, a special effort is made here to present the aspects of Chern-Simons-like theories in a pedagogical and comprehensive way. |
hep-th/0612282 | Diego Cirilo-Lombardo | Diego Cirilo-Lombardo (BLTP-JINR) | On the mathematical structure and hidden symmetries of the Born-Infeld
field equations | Talk given at BLTP-JINR (Dubna-Russian Federation) in the seminar
"Symmetries and Integrable Systems", Leader A.N. Sissakian. JINR-Preprint. To
be published in JMP | J.Math.Phys.48:032301,2007 | 10.1063/1.2710195 | null | hep-th gr-qc math-ph math.MP | null | The mathematical structure of the Born-Infeld field equations was analyzed
from the point of view of the symmetries. To this end, the field equations were
written in the most compact form by means of quaternionic operators constructed
according to all the symmetries of the theory, including the extension to a
non-commutative structure. The quaternionic structure of the phase space was
explicitly derived and described from the Hamiltonian point of view, and the
analogy between the BI theory and the Maxwell (linear) electrodynamics in
curved space-time was explicitly shown. Our results agree with the observation
of Gibbons and Rasheed that there exists a discrete symmetry in the structure
of the field equations that is unique in the case of the Born-Infeld nonlinear
electrodynamics.
| [
{
"created": "Wed, 27 Dec 2006 18:18:14 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jan 2007 07:57:05 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cirilo-Lombardo",
"Diego",
"",
"BLTP-JINR"
]
] | The mathematical structure of the Born-Infeld field equations was analyzed from the point of view of the symmetries. To this end, the field equations were written in the most compact form by means of quaternionic operators constructed according to all the symmetries of the theory, including the extension to a non-commutative structure. The quaternionic structure of the phase space was explicitly derived and described from the Hamiltonian point of view, and the analogy between the BI theory and the Maxwell (linear) electrodynamics in curved space-time was explicitly shown. Our results agree with the observation of Gibbons and Rasheed that there exists a discrete symmetry in the structure of the field equations that is unique in the case of the Born-Infeld nonlinear electrodynamics. |
1309.7416 | Josh Nohle | Josh Nohle | Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter | 23 page, 6 figures, REVTex, ancillary Mathematica file containing
four-point one-loop BCJ numerators; v2: ancillary file updated to better
match labelling conventions in body of paper, minor corrections | Phys. Rev. D 90, 025020 (2014) | 10.1103/PhysRevD.90.025020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the
duality between color and kinematics manifest have been constructed in previous
work. Here, we extend the discussion to fermions and scalars circulating in the
loop with all external gluons. This gives another nontrivial loop-level example
showing that the duality between color and kinematics holds in
nonsupersymmetric gauge theory. The construction is valid in any spacetime
dimension and written in terms of formal polarization vectors. We also convert
these expressions into a four-dimensional form with explicit external helicity
states. Using this, we compare our results to one-loop duality-satisfying
amplitudes that are already present in literature.
| [
{
"created": "Sat, 28 Sep 2013 03:13:42 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2015 07:23:14 GMT",
"version": "v2"
}
] | 2015-11-04 | [
[
"Nohle",
"Josh",
""
]
] | Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the duality between color and kinematics manifest have been constructed in previous work. Here, we extend the discussion to fermions and scalars circulating in the loop with all external gluons. This gives another nontrivial loop-level example showing that the duality between color and kinematics holds in nonsupersymmetric gauge theory. The construction is valid in any spacetime dimension and written in terms of formal polarization vectors. We also convert these expressions into a four-dimensional form with explicit external helicity states. Using this, we compare our results to one-loop duality-satisfying amplitudes that are already present in literature. |
2106.10839 | Houri-Christina Tarazi | Houri-Christina Tarazi, Cumrun Vafa | On The Finiteness of 6d Supergravity Landscape | 36 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider supergravity theories with 8 supercharges in $d=6$. We show that
all the proposed anomaly free theories with unbounded number of massless modes
are restricted to a finite subset and thus argue that there is an upper bound
on the number of massless modes, consistent with the String Lamppost Principle.
| [
{
"created": "Mon, 21 Jun 2021 04:01:47 GMT",
"version": "v1"
}
] | 2021-06-22 | [
[
"Tarazi",
"Houri-Christina",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We consider supergravity theories with 8 supercharges in $d=6$. We show that all the proposed anomaly free theories with unbounded number of massless modes are restricted to a finite subset and thus argue that there is an upper bound on the number of massless modes, consistent with the String Lamppost Principle. |
hep-th/9806209 | Vladimir Nesterenko | V. V. Nesterenko and I. G. Pirozhenko | Open rigid string with the Gauss-Bonnet term in action | REVTeX, 7 pages, 2 figures in separate PostScript files, no tables | Mod.Phys.Lett. A13 (1998) 2513-2522 | 10.1142/S0217732398002679 | JINR E2-98-171 | hep-th | null | The effect of the Gaussian curvature in the rigid string action on the
interquark potential is investigated. The linearized equations of motion and
boundary conditions, following from the modified string action, are obtained.
The equation, defining the eigenfrequency spectrum of the string oscillations
is derived. On this basis, the interquark potential, generated by the string is
calculated in one-loop approximation. A substantial influence of the
topological term in the string action on the interquark potential at the
distances of hadronic size order or less is revealed.
| [
{
"created": "Thu, 25 Jun 1998 15:15:43 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Nesterenko",
"V. V.",
""
],
[
"Pirozhenko",
"I. G.",
""
]
] | The effect of the Gaussian curvature in the rigid string action on the interquark potential is investigated. The linearized equations of motion and boundary conditions, following from the modified string action, are obtained. The equation, defining the eigenfrequency spectrum of the string oscillations is derived. On this basis, the interquark potential, generated by the string is calculated in one-loop approximation. A substantial influence of the topological term in the string action on the interquark potential at the distances of hadronic size order or less is revealed. |
1312.7313 | Christoph Keller | Christoph A. Keller | Modularity, Calabi-Yau geometry and 2d CFTs | 10 pages, 3 figures. Contribution to the Proceedings of String-Math
2013 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a short overview over recent work on finding constraints on partition
functions of 2d CFTs from modular invariance. We summarize the constraints on
the spectrum and their connection to Calabi-Yau compactifications.
| [
{
"created": "Fri, 27 Dec 2013 18:55:42 GMT",
"version": "v1"
}
] | 2013-12-30 | [
[
"Keller",
"Christoph A.",
""
]
] | We give a short overview over recent work on finding constraints on partition functions of 2d CFTs from modular invariance. We summarize the constraints on the spectrum and their connection to Calabi-Yau compactifications. |
hep-th/0702121 | Jaeweon Lee Dr. | Jungjai Lee, Hyeong-Chan Kim, and Jae-Weon Lee | Dark energy, inflation and the cosmic coincidence problem | final version | Phys.Lett.B661:67-74,2008 | 10.1016/j.physletb.2008.02.009 | null | hep-th astro-ph | null | We show that holographic dark energy could explain why the current dark
energy density is so small, if there was an inflation with a sufficient
expansion in the early universe. It is also suggested that an inflation with
the number of e-folds $N\simeq 65$ may solve the cosmic coincidence problem in
this context. Assuming the inflation and the power-law acceleration phase today
we obtain approximate formulas for the event horizon size of the universe and
dark energy density as functions of time. A simple numerical study exploiting
the formula well reproduces the observed evolution of dark energy. This
nontrivial match between the theory and the observational data supports both
inflation and holographic dark energy models.
| [
{
"created": "Thu, 15 Feb 2007 14:16:47 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2007 06:33:32 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Mar 2007 09:42:01 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Mar 2007 14:21:13 GMT",
"version": "v4"
},
{
"created": "Thu, 24 May 2007 14:54:04 GMT",
"version": "v5"
},
{
"created": "Mon, 10 Mar 2008 13:15:22 GMT",
"version": "v6"
}
] | 2014-11-18 | [
[
"Lee",
"Jungjai",
""
],
[
"Kim",
"Hyeong-Chan",
""
],
[
"Lee",
"Jae-Weon",
""
]
] | We show that holographic dark energy could explain why the current dark energy density is so small, if there was an inflation with a sufficient expansion in the early universe. It is also suggested that an inflation with the number of e-folds $N\simeq 65$ may solve the cosmic coincidence problem in this context. Assuming the inflation and the power-law acceleration phase today we obtain approximate formulas for the event horizon size of the universe and dark energy density as functions of time. A simple numerical study exploiting the formula well reproduces the observed evolution of dark energy. This nontrivial match between the theory and the observational data supports both inflation and holographic dark energy models. |
2104.00068 | Emilio Ojeda | Emilio Ojeda | Integrable systems and the boundary dynamics of (higher spin) gravity on
AdS$_3$ | PhD thesis. 101 pages. Based on arXiv 1906.11226 and 2009.07829 | null | null | null | hep-th gr-qc nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis extends a previously found relation between the integrable KdV
hierarchy and the boundary dynamics of pure gravity on AdS$_3$ described in the
highest weight gauge, to a more general class of integrable systems associated
to three-dimensional gravity on AdS$_3$ and higher spin gravity with gauge
group $SL(N,\mathbb{R})\times SL(N,\mathbb{R})$ in the diagonal gauge. We
present new sets of boundary conditions for the (higher spin) gravitational
theories on AdS$_3$, where the dynamics of the boundary degrees of freedom is
described by two independent left and right members of a hierarchy of
integrable equations. For the pure gravity case, the associated hierarchy
corresponds to the Gardner hierarchy, also known as the "mixed KdV-mKdV" one,
while for the case of higher spin gravity, they are identified with the
"modified Gelfand-Dickey" hierarchies. The complete integrable structure of the
hierarchies, i.e., the phase space, the Poisson brackets and the infinite
number of commuting conserved charges, are directly obtained from the
asymptotic structure and the conserved surface integrals in the gravitational
theories. Consequently, the corresponding Miura transformation is recovered
from a purely geometric construction in the bulk. Black hole solutions that fit
within our boundary conditions, the Hamiltonian reduction at the boundary and
more general thermodynamic ensembles called "Generalized Gibbs Ensemble" are
also discussed.
| [
{
"created": "Wed, 31 Mar 2021 19:01:14 GMT",
"version": "v1"
}
] | 2021-04-02 | [
[
"Ojeda",
"Emilio",
""
]
] | This thesis extends a previously found relation between the integrable KdV hierarchy and the boundary dynamics of pure gravity on AdS$_3$ described in the highest weight gauge, to a more general class of integrable systems associated to three-dimensional gravity on AdS$_3$ and higher spin gravity with gauge group $SL(N,\mathbb{R})\times SL(N,\mathbb{R})$ in the diagonal gauge. We present new sets of boundary conditions for the (higher spin) gravitational theories on AdS$_3$, where the dynamics of the boundary degrees of freedom is described by two independent left and right members of a hierarchy of integrable equations. For the pure gravity case, the associated hierarchy corresponds to the Gardner hierarchy, also known as the "mixed KdV-mKdV" one, while for the case of higher spin gravity, they are identified with the "modified Gelfand-Dickey" hierarchies. The complete integrable structure of the hierarchies, i.e., the phase space, the Poisson brackets and the infinite number of commuting conserved charges, are directly obtained from the asymptotic structure and the conserved surface integrals in the gravitational theories. Consequently, the corresponding Miura transformation is recovered from a purely geometric construction in the bulk. Black hole solutions that fit within our boundary conditions, the Hamiltonian reduction at the boundary and more general thermodynamic ensembles called "Generalized Gibbs Ensemble" are also discussed. |
1405.0282 | Bartholomew Horn | Peter W. Graham, Bart Horn, Surjeet Rajendran, Gonzalo Torroba | Exploring eternal stability with the simple harmonic universe | 22 pages, 2 figures | null | 10.1007/JHEP08(2014)163 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct nonsingular cyclic cosmologies that respect the null energy
condition, have a large hierarchy between the minimum and maximum size of the
universe, and are stable under linearized fluctuations. The models are
supported by a combination of positive curvature, a negative cosmological
constant, cosmic strings and matter that at the homogeneous level behaves as a
perfect fluid with equation of state -1 < w < -1/3. We investigate analytically
the stability of the perturbation equations and discuss the role of parametric
resonances and nonlinear corrections. Finally, we argue that Casimir energy
contributions associated to the compact spatial slices can become important at
short scales and lift nonperturbative decays towards vanishing size. This class
of models (particularly in the static limit) can then provide a useful
framework for studying the question of the ultimate (meta)stability of an
eternal universe.
| [
{
"created": "Thu, 1 May 2014 20:00:04 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Graham",
"Peter W.",
""
],
[
"Horn",
"Bart",
""
],
[
"Rajendran",
"Surjeet",
""
],
[
"Torroba",
"Gonzalo",
""
]
] | We construct nonsingular cyclic cosmologies that respect the null energy condition, have a large hierarchy between the minimum and maximum size of the universe, and are stable under linearized fluctuations. The models are supported by a combination of positive curvature, a negative cosmological constant, cosmic strings and matter that at the homogeneous level behaves as a perfect fluid with equation of state -1 < w < -1/3. We investigate analytically the stability of the perturbation equations and discuss the role of parametric resonances and nonlinear corrections. Finally, we argue that Casimir energy contributions associated to the compact spatial slices can become important at short scales and lift nonperturbative decays towards vanishing size. This class of models (particularly in the static limit) can then provide a useful framework for studying the question of the ultimate (meta)stability of an eternal universe. |
1706.03797 | Matthew Buican | Matthew Buican, Zoltan Laczko, and Takahiro Nishinaka | N=2 S-duality Revisited | 30+10 pages; 4 appendices; 6 figures | null | 10.1007/JHEP09(2017)087 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the chiral algebra bootstrap, we revisit the simplest Argyres-Douglas
(AD) generalization of Argyres-Seiberg S-duality. We argue that the exotic AD
superconformal field theory (SCFT), $T_{3,{3\over2}}$, emerging in this duality
splits into a free piece and an interacting piece, T_X, even though this
factorization seems invisible in the Seiberg-Witten (SW) curve derived from the
corresponding M5-brane construction. Without a Lagrangian, an associated
topological field theory, a BPS spectrum, or even an SW curve, we nonetheless
obtain exact information about T_X by bootstrapping its chiral algebra,
chi(T_X), and finding the corresponding vacuum character in terms of Affine
Kac-Moody characters. By a standard 4D/2D correspondence, this result gives us
the Schur index for T_X and, by studying this quantity in the limit of small
S^1, we make contact with a proposed S^1 reduction. Along the way, we discuss
various properties of T_X: as an N=1 theory, it has flavor symmetry
SU(3)XSU(2)XU(1), the central charge of chi(T_X) matches the central charge of
the bc ghosts in bosonic string theory, and its global SU(2) symmetry has a
Witten anomaly. This anomaly does not prevent us from building conformal
manifolds out of arbitrary numbers of T_X theories (giving us a surprisingly
close AD relative of Gaiotto's T_N theories), but it does lead to some open
questions in the context of the chiral algebra / 4D N=2 SCFT correspondence.
| [
{
"created": "Mon, 12 Jun 2017 18:20:20 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Buican",
"Matthew",
""
],
[
"Laczko",
"Zoltan",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | Using the chiral algebra bootstrap, we revisit the simplest Argyres-Douglas (AD) generalization of Argyres-Seiberg S-duality. We argue that the exotic AD superconformal field theory (SCFT), $T_{3,{3\over2}}$, emerging in this duality splits into a free piece and an interacting piece, T_X, even though this factorization seems invisible in the Seiberg-Witten (SW) curve derived from the corresponding M5-brane construction. Without a Lagrangian, an associated topological field theory, a BPS spectrum, or even an SW curve, we nonetheless obtain exact information about T_X by bootstrapping its chiral algebra, chi(T_X), and finding the corresponding vacuum character in terms of Affine Kac-Moody characters. By a standard 4D/2D correspondence, this result gives us the Schur index for T_X and, by studying this quantity in the limit of small S^1, we make contact with a proposed S^1 reduction. Along the way, we discuss various properties of T_X: as an N=1 theory, it has flavor symmetry SU(3)XSU(2)XU(1), the central charge of chi(T_X) matches the central charge of the bc ghosts in bosonic string theory, and its global SU(2) symmetry has a Witten anomaly. This anomaly does not prevent us from building conformal manifolds out of arbitrary numbers of T_X theories (giving us a surprisingly close AD relative of Gaiotto's T_N theories), but it does lead to some open questions in the context of the chiral algebra / 4D N=2 SCFT correspondence. |
hep-th/0203073 | Gabor Takacs | G.Takacs (Eotvos Univ., Budapest), G. Watts (King's College London) | RSOS revisited | 30 pages, 9 eps figures, LaTeX2e | Nucl.Phys. B642 (2002) 456-482 | 10.1016/S0550-3213(02)00676-4 | KCL-MTH-02-04, ITP-Budapest-579 | hep-th | null | We investigate the issues of unitarity and reality of the spectrum for the
imaginary coupled affine Toda field theories based on a_1(1) and a_2(2) and the
perturbed minimal models that arise from their various RSOS restrictions. We
show that while all theories based on a_1(1) have real spectra in finite
volume, the spectra of a_2(2) models is in general complex, with some
exceptions. We also correct the S matrices conjectured earlier for the phi(1,5)
perturbations of minimal models and give evidence for a conjecture that the
RSOS spectra can be obtained as suitable projections of the folded ATFTs in
finite volume.
| [
{
"created": "Fri, 8 Mar 2002 10:12:53 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Takacs",
"G.",
"",
"Eotvos Univ., Budapest"
],
[
"Watts",
"G.",
"",
"King's College London"
]
] | We investigate the issues of unitarity and reality of the spectrum for the imaginary coupled affine Toda field theories based on a_1(1) and a_2(2) and the perturbed minimal models that arise from their various RSOS restrictions. We show that while all theories based on a_1(1) have real spectra in finite volume, the spectra of a_2(2) models is in general complex, with some exceptions. We also correct the S matrices conjectured earlier for the phi(1,5) perturbations of minimal models and give evidence for a conjecture that the RSOS spectra can be obtained as suitable projections of the folded ATFTs in finite volume. |
hep-th/9908011 | Adam D. Helfer | Adam D. Helfer | The Hamiltonians of Linear Quantum Fields: I. Existence Theory | 30 pages, Latex2e with AMS packages | null | null | null | hep-th gr-qc | null | For linear scalar field theories, I characterize those classical Hamiltonian
vector fields which have self-adjoint operators as their quantum counterparts.
As an application, it is shown that for a scalar field in curved space-time (in
a Hadamard representation), a self-adjoint Hamiltonian for evolution along the
unit timelike normal to a Cauchy surface exists only if the second fundamental
form of the surface vanishes identically.
| [
{
"created": "Mon, 2 Aug 1999 16:54:40 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2000 18:40:22 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Aug 2003 03:14:11 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Helfer",
"Adam D.",
""
]
] | For linear scalar field theories, I characterize those classical Hamiltonian vector fields which have self-adjoint operators as their quantum counterparts. As an application, it is shown that for a scalar field in curved space-time (in a Hadamard representation), a self-adjoint Hamiltonian for evolution along the unit timelike normal to a Cauchy surface exists only if the second fundamental form of the surface vanishes identically. |
2206.11289 | Nishant Agarwal | Spasen Chaykov, Nishant Agarwal, Sina Bahrami, and R. Holman | Loop corrections in Minkowski spacetime away from equilibrium. Part II.
Finite-time results | 20 pages, 5 figures. Matches published version | JHEP 02 (2023) 094 | 10.1007/JHEP02(2023)094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Loop corrections to finite-time correlation functions in quantum field
theories away from equilibrium can be calculated using the in-in path integral
approach. In this paper, we calculate the unequal-time two-point correlator for
different massless self-interacting scalar quantum field theories on a
Minkowski background, starting the field evolution at an arbitrary initial
time. We find the counterterms that need to be added to UV-renormalize the
result, including usual in-out counterterms in the dynamics and additional
initial state counterterms that are required to cancel all UV divergences. We
find that the late-time limit of the renormalized correlation function exhibits
a linear or logarithmic growth in time, depending on whether the interaction
strength is dimension-one or dimensionless, respectively. The late-time
correlations match those obtained in our companion paper and, as shown there,
the divergences do not indicate a real IR issue, consistent with what one would
expect in Minkowski.
| [
{
"created": "Wed, 22 Jun 2022 18:00:31 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2023 19:56:13 GMT",
"version": "v2"
}
] | 2023-03-07 | [
[
"Chaykov",
"Spasen",
""
],
[
"Agarwal",
"Nishant",
""
],
[
"Bahrami",
"Sina",
""
],
[
"Holman",
"R.",
""
]
] | Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theories on a Minkowski background, starting the field evolution at an arbitrary initial time. We find the counterterms that need to be added to UV-renormalize the result, including usual in-out counterterms in the dynamics and additional initial state counterterms that are required to cancel all UV divergences. We find that the late-time limit of the renormalized correlation function exhibits a linear or logarithmic growth in time, depending on whether the interaction strength is dimension-one or dimensionless, respectively. The late-time correlations match those obtained in our companion paper and, as shown there, the divergences do not indicate a real IR issue, consistent with what one would expect in Minkowski. |
hep-th/9905041 | Vyacheslav Kudryavtsev | V.A.Kudryavtsev (Petersburg Nuclear Physics Institute) | Fermion dominated composite superstring model and unified description of
hadron and lepton degrees of freedom in it | 27 pages, LaTeX, no figures | null | null | null | hep-th | null | New string dynamics is formulated on the basis of the extended set of
supergauge constraints including not only supergauge Virasoro conditions but
also nilpotent supercurrent constraints . This approach arises from a natural
generalization of the classical operator many-string vertices. The formulation
of this model leads to three two-dimensional surfaces for description of hadron
strings. It gives some dynamical generalization of Chan-Paton factor for string
amplitudes in terms of operator vertices. Supersymmetry on the 2-d world
surface is present but ten-dimensional supersymmetry is absent.
In this approach two-dimensional fermion string fields make it possible to
give a unified description of hadron and lepton degrees of freedom and of its
dynamics. This model allows to solve the problem of elimination of the most
part of parity twins in the baryon spectrum.
One-loop (and many-loops perhaps) amplitudes in this model are finite due to
the extended set of supergauge constraints and to the significant excess of the
total number of fermion two-dimensional fields over the number of boson 2-d
fields.
| [
{
"created": "Thu, 6 May 1999 08:48:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kudryavtsev",
"V. A.",
"",
"Petersburg Nuclear Physics Institute"
]
] | New string dynamics is formulated on the basis of the extended set of supergauge constraints including not only supergauge Virasoro conditions but also nilpotent supercurrent constraints . This approach arises from a natural generalization of the classical operator many-string vertices. The formulation of this model leads to three two-dimensional surfaces for description of hadron strings. It gives some dynamical generalization of Chan-Paton factor for string amplitudes in terms of operator vertices. Supersymmetry on the 2-d world surface is present but ten-dimensional supersymmetry is absent. In this approach two-dimensional fermion string fields make it possible to give a unified description of hadron and lepton degrees of freedom and of its dynamics. This model allows to solve the problem of elimination of the most part of parity twins in the baryon spectrum. One-loop (and many-loops perhaps) amplitudes in this model are finite due to the extended set of supergauge constraints and to the significant excess of the total number of fermion two-dimensional fields over the number of boson 2-d fields. |
hep-th/0010262 | Andreas Fring | O.A. Castro-Alvaredo and A. Fring | Decoupling the SU(N)_2-homogeneous Sine-Gordon model | 9 pages Latex, 4 figures | Phys.Rev. D64 (2001) 085007 | 10.1103/PhysRevD.64.085007 | null | hep-th cond-mat | null | We provide a systematic construction for all n-particle form factors of the
SU(N)_2/U(1)^{N-1}-homogeneous Sine-Gordon model in terms of general
determinant formulae for a huge class of local operators. The ultraviolet limit
is carried out and the corresponding Virasoro central charge together with the
conformal dimensions of various operators are identified. The renormalization
group flow is studied and we find a precise rule, depending on the relative
order of magnitude of the resonance parameters, according to which the theory
decouples into new cosets along the flow.
| [
{
"created": "Fri, 27 Oct 2000 16:57:49 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Castro-Alvaredo",
"O. A.",
""
],
[
"Fring",
"A.",
""
]
] | We provide a systematic construction for all n-particle form factors of the SU(N)_2/U(1)^{N-1}-homogeneous Sine-Gordon model in terms of general determinant formulae for a huge class of local operators. The ultraviolet limit is carried out and the corresponding Virasoro central charge together with the conformal dimensions of various operators are identified. The renormalization group flow is studied and we find a precise rule, depending on the relative order of magnitude of the resonance parameters, according to which the theory decouples into new cosets along the flow. |
1810.05023 | N. E. J. Bjerrum-Bohr | N. E. J. Bjerrum-Bohr, Poul H. Damgaard and Humberto Gomez | New Factorization Relations for Yang Mills Amplitudes | 7 pages, 3 figures, version to appear in PRD | Phys. Rev. D 99, 025014 (2019) | 10.1103/PhysRevD.99.025014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A double-cover extension of the scattering equation formalism of Cachazo, He
and Yuan (CHY) leads us to conjecture covariant factorization formulas of
n-particle scattering amplitudes in Yang-Mills theories. Evidence is given that
these factorization relations are related to Berends-Giele recursions through
repeated use of partial fraction identities involving linearized propagators.
| [
{
"created": "Thu, 11 Oct 2018 13:56:33 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2019 12:05:37 GMT",
"version": "v2"
}
] | 2019-02-06 | [
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Gomez",
"Humberto",
""
]
] | A double-cover extension of the scattering equation formalism of Cachazo, He and Yuan (CHY) leads us to conjecture covariant factorization formulas of n-particle scattering amplitudes in Yang-Mills theories. Evidence is given that these factorization relations are related to Berends-Giele recursions through repeated use of partial fraction identities involving linearized propagators. |
1506.01881 | Dmitriy Uvarov | D.V. Uvarov | Spinor description of $D=5$ massless low-spin gauge fields | LaTeX, 19 pages; v2: comments and references added, typos corrected | Class. Quantum Grav. 33 (2016) 135010 | 10.1088/0264-9381/33/13/135010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger
and gravitational fields is elaborated. Restrictions imposed on the curvature
spinors by the dynamical equations and Bianchi identities are analyzed. In the
absence of sources symmetric curvature spinors with $2s$ indices obey
first-order equations that in the linearized limit reduce to Dirac-type
equations for massless free fields. These equations allow for a higher-spin
generalization similarly to $4d$ case. Their solution in the form of the
integral over Lorentz-harmonic variables parametrizing coset manifold
$SO(1,4)/(SO(1,1)\times ISO(3))$ isomorphic to the three-sphere is considered.
Superparticle model that contains such Lorentz harmonics as dynamical
variables, as well as harmonics parametrizing the two-sphere $SU(2)/U(1)$ is
proposed. The states in its spectrum are given by the functions on $S^3$ that
upon integrating over the Lorentz harmonics reproduce on-shell symmetric
curvature spinors for various massless supermultiplets of $D=5$ space-time
supersymmetry.
| [
{
"created": "Fri, 5 Jun 2015 12:13:13 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 18:18:31 GMT",
"version": "v2"
}
] | 2016-07-19 | [
[
"Uvarov",
"D. V.",
""
]
] | Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence of sources symmetric curvature spinors with $2s$ indices obey first-order equations that in the linearized limit reduce to Dirac-type equations for massless free fields. These equations allow for a higher-spin generalization similarly to $4d$ case. Their solution in the form of the integral over Lorentz-harmonic variables parametrizing coset manifold $SO(1,4)/(SO(1,1)\times ISO(3))$ isomorphic to the three-sphere is considered. Superparticle model that contains such Lorentz harmonics as dynamical variables, as well as harmonics parametrizing the two-sphere $SU(2)/U(1)$ is proposed. The states in its spectrum are given by the functions on $S^3$ that upon integrating over the Lorentz harmonics reproduce on-shell symmetric curvature spinors for various massless supermultiplets of $D=5$ space-time supersymmetry. |
hep-th/0609201 | Rudra Prakash Malik | R. P. Malik (CAS, Phys. Deptt., Bhu) | One-Form Abelian Gauge Theory As The Hodge Theory | LaTeX file, 39 pages, brief review, journal version | Int.J.Mod.Phys.A22:3521-3562,2007 | 10.1142/S0217751X07037135 | null | hep-th | null | We demonstrate that the two (1 + 1)-dimensional (2D) free 1-form Abelian
gauge theory provides an interesting field theoretical model for the Hodge
theory. The physical symmetries of the theory correspond to all the basic
mathematical ingredients that are required in the definition of the de Rham
cohomological operators of differential geometry. The conserved charges,
corresponding to the above continuous symmetry transformations, constitute an
algebra that is reminiscent of the algebra obeyed by the de Rham cohomological
operators. The topological features of the above theory are discussed in terms
of the BRST and co-BRST operators. The super de Rham cohomological operators
are exploited in the derivation of the nilpotent (anti-)BRST, (anti-)co-BRST
symmetry transformations and the equations of motion for all the fields of the
theory, within the framework of the superfield formulation. The derivation of
the equations of motion, by exploiting the super Laplacian operator, is a
completely new result in the framework of the superfield approach to BRST
formalism. In an Appendix, the interacting 2D Abelian gauge theory (where there
is a coupling between the U(1) gauge field and the Dirac fields) is also shown
to provide a tractable field theoretical model for the Hodge theory.
| [
{
"created": "Thu, 28 Sep 2006 15:02:28 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2006 16:30:31 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Oct 2006 12:23:42 GMT",
"version": "v3"
},
{
"created": "Thu, 19 Jul 2007 10:33:50 GMT",
"version": "v4"
},
{
"created": "Fri, 14 Sep 2007 13:40:14 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Malik",
"R. P.",
"",
"CAS, Phys. Deptt., Bhu"
]
] | We demonstrate that the two (1 + 1)-dimensional (2D) free 1-form Abelian gauge theory provides an interesting field theoretical model for the Hodge theory. The physical symmetries of the theory correspond to all the basic mathematical ingredients that are required in the definition of the de Rham cohomological operators of differential geometry. The conserved charges, corresponding to the above continuous symmetry transformations, constitute an algebra that is reminiscent of the algebra obeyed by the de Rham cohomological operators. The topological features of the above theory are discussed in terms of the BRST and co-BRST operators. The super de Rham cohomological operators are exploited in the derivation of the nilpotent (anti-)BRST, (anti-)co-BRST symmetry transformations and the equations of motion for all the fields of the theory, within the framework of the superfield formulation. The derivation of the equations of motion, by exploiting the super Laplacian operator, is a completely new result in the framework of the superfield approach to BRST formalism. In an Appendix, the interacting 2D Abelian gauge theory (where there is a coupling between the U(1) gauge field and the Dirac fields) is also shown to provide a tractable field theoretical model for the Hodge theory. |
2204.13986 | Aninda Sinha | Aninda Sinha | Dispersion relations, knot polynomials and the $q$-deformed harmonic
oscillator | v4: 10 pages, 4 figures, updated version | Phys. Rev. D 106, 126019, 2022 | 10.1103/PhysRevD.106.126019 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the crossing symmetric dispersion relation (CSDR) for 2-2
scattering leads to a fascinating connection with knot polynomials and
q-deformed algebras. In particular, the dispersive kernel can be identified
naturally in terms of the generating function for the Alexander polynomials
corresponding to the torus knot $(2,2n+1)$ arising in knot theory. Certain
linear combinations of the low energy expansion coefficients of the amplitude
can be bounded in terms of knot invariants. Pion S-matrix bootstrap data
respects the analytic bounds so obtained. We correlate the $q$-deformed
harmonic oscillator with the CSDR-knot picture. In particular, the scattering
amplitude can be thought of as a $q$-averaged thermal two point function
involving the $q$-deformed harmonic oscillator. The low temperature expansion
coefficients are precisely the $q$-averaged Alexander knot polynomials.
| [
{
"created": "Fri, 29 Apr 2022 10:21:47 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2022 10:23:57 GMT",
"version": "v2"
},
{
"created": "Fri, 20 May 2022 11:36:02 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Dec 2022 05:05:48 GMT",
"version": "v4"
}
] | 2022-12-23 | [
[
"Sinha",
"Aninda",
""
]
] | We show that the crossing symmetric dispersion relation (CSDR) for 2-2 scattering leads to a fascinating connection with knot polynomials and q-deformed algebras. In particular, the dispersive kernel can be identified naturally in terms of the generating function for the Alexander polynomials corresponding to the torus knot $(2,2n+1)$ arising in knot theory. Certain linear combinations of the low energy expansion coefficients of the amplitude can be bounded in terms of knot invariants. Pion S-matrix bootstrap data respects the analytic bounds so obtained. We correlate the $q$-deformed harmonic oscillator with the CSDR-knot picture. In particular, the scattering amplitude can be thought of as a $q$-averaged thermal two point function involving the $q$-deformed harmonic oscillator. The low temperature expansion coefficients are precisely the $q$-averaged Alexander knot polynomials. |
0808.2478 | Alex Kirillov | A.A. Kirillov, E.P. Savelova | On the behavior of bosonic systems in the presence of topology
fluctuations | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The behavior of bosonic systems in the presence of space-time foam is
analyzed within the simplistic model of a set of scalar fields on a flat
background. We discuss the formula for the path integral which allows to
account for the all possible topologies of spacetime. We show that the proper
path integral originates from the parastatistics suggested first by H.S. Green
and that it defines a cutoff for the field theory.
| [
{
"created": "Tue, 19 Aug 2008 17:05:46 GMT",
"version": "v1"
}
] | 2008-09-11 | [
[
"Kirillov",
"A. A.",
""
],
[
"Savelova",
"E. P.",
""
]
] | The behavior of bosonic systems in the presence of space-time foam is analyzed within the simplistic model of a set of scalar fields on a flat background. We discuss the formula for the path integral which allows to account for the all possible topologies of spacetime. We show that the proper path integral originates from the parastatistics suggested first by H.S. Green and that it defines a cutoff for the field theory. |
0808.0957 | Derek Teaney | Kevin Dusling, Johanna Erdmenger, Matthias Kaminski, Felix Rust, Derek
Teaney, Clint Young | Quarkonium transport in thermal AdS/CFT | 26 + 4 figures | JHEP 0810:098,2008 | 10.1088/1126-6708/2008/10/098 | MPP-2008-46 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a heavy meson moving slowly through high temperature non-abelian
plasmas. Using a simple dipole effective Lagrangian, we calculate the in-medium
mass shift and the drag coefficient of the meson in $\N=4$ Super Yang Mills
theory at weak and strong coupling. As anticipated, in the large $N$ limit the
mass shift is finite while the drag is suppressed by $1/N^2$ . After comparing
results to perturbative QCD estimates (which are also calculated), we reach the
conclusion that relative to weak coupling expectations the effect of strong
coupling is to reduce the momentum diffusion rate and to {\it increase} the
relaxation time by up to a factor of four.
| [
{
"created": "Thu, 7 Aug 2008 16:26:35 GMT",
"version": "v1"
}
] | 2009-01-06 | [
[
"Dusling",
"Kevin",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Kaminski",
"Matthias",
""
],
[
"Rust",
"Felix",
""
],
[
"Teaney",
"Derek",
""
],
[
"Young",
"Clint",
""
]
] | We consider a heavy meson moving slowly through high temperature non-abelian plasmas. Using a simple dipole effective Lagrangian, we calculate the in-medium mass shift and the drag coefficient of the meson in $\N=4$ Super Yang Mills theory at weak and strong coupling. As anticipated, in the large $N$ limit the mass shift is finite while the drag is suppressed by $1/N^2$ . After comparing results to perturbative QCD estimates (which are also calculated), we reach the conclusion that relative to weak coupling expectations the effect of strong coupling is to reduce the momentum diffusion rate and to {\it increase} the relaxation time by up to a factor of four. |
hep-th/9702054 | null | J. M. F. Labastida and M. Marino | Twisted Baryon Number in N=2 Supersymmetric QCD | 14 pages, latex | Phys.Lett. B400 (1997) 323-330 | 10.1016/S0370-2693(97)00376-6 | null | hep-th alg-geom dg-ga math.AG math.DG | null | We show that the baryon number of N=2 supersymmetric QCD can be twisted in
order to couple the topological field theory of non-abelian monopoles to
$Spin^c$-structures. To motivate the construction, we also consider some
aspects of the twisting procedure as a gauging of global currents in two and
four dimensions, in particular the role played by anomalies.
| [
{
"created": "Thu, 6 Feb 1997 10:06:15 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Labastida",
"J. M. F.",
""
],
[
"Marino",
"M.",
""
]
] | We show that the baryon number of N=2 supersymmetric QCD can be twisted in order to couple the topological field theory of non-abelian monopoles to $Spin^c$-structures. To motivate the construction, we also consider some aspects of the twisting procedure as a gauging of global currents in two and four dimensions, in particular the role played by anomalies. |
hep-th/9609141 | null | S. James Gates Jr., Sergei M. Kuzenko and Alexander G. Sibiryakov | N = 2 Supersymmetry of Higher Superspin Massless Theories | 13 pages, latex, no figures | Phys.Lett. B412 (1997) 59-68 | 10.1016/S0370-2693(97)01037-X | Univ. of MD preprint UMDEPP 97-23, Tomsk State Univ. preprint
TSU-QFT-13/96 | hep-th | null | We present N=2 supersymmetry transformations, both in N=1, D=4 Minkowski and
anti-de Sitter superspaces, for higher superspin massless theories. It is noted
that the existence of dual versions of massless supermultiplets with arbitrary
superspin s may provide a basis for understanding duality in N=1, D=4
superstring theory. We further conjecture that the N=1, D=4 supergravity
pre-potential together with all higher superspin s pre-potentials are
components of an N=1, D=4 superstring pre-potential.
| [
{
"created": "Tue, 17 Sep 1996 21:38:41 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gates",
"S. James",
"Jr."
],
[
"Kuzenko",
"Sergei M.",
""
],
[
"Sibiryakov",
"Alexander G.",
""
]
] | We present N=2 supersymmetry transformations, both in N=1, D=4 Minkowski and anti-de Sitter superspaces, for higher superspin massless theories. It is noted that the existence of dual versions of massless supermultiplets with arbitrary superspin s may provide a basis for understanding duality in N=1, D=4 superstring theory. We further conjecture that the N=1, D=4 supergravity pre-potential together with all higher superspin s pre-potentials are components of an N=1, D=4 superstring pre-potential. |
hep-th/9210139 | null | A.K.Tollsten | On Anomaly-free Supergravity as an Effective String Theory | 7 pages, Latex, CERN-TH.6686/92 | Phys.Lett. B300 (1993) 61-65 | 10.1016/0370-2693(93)90749-8 | null | hep-th | null | The equations of motion of anomaly-free supergravity are shown to fulfil (to
all orders in $\alpha'$) a differential condition corresponding to the one
relating the Weyl anomaly coefficients for a non-linear sigma model
representing a (heterotic) string propagating in a non-trivial background. This
supports the possibility that anomaly-free supergravity could provide the
complete massless effective theory for the heterotic string.
| [
{
"created": "Tue, 27 Oct 1992 15:20:44 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Tollsten",
"A. K.",
""
]
] | The equations of motion of anomaly-free supergravity are shown to fulfil (to all orders in $\alpha'$) a differential condition corresponding to the one relating the Weyl anomaly coefficients for a non-linear sigma model representing a (heterotic) string propagating in a non-trivial background. This supports the possibility that anomaly-free supergravity could provide the complete massless effective theory for the heterotic string. |
hep-th/0504212 | Leonardo de Assis | Leonardo P. G. de Assis, Jose A. Helayel-Neto, Ricardo C. Paschoal | Supersymmetry and Integrability in Planar Mechanical Systems | 20 pages, 3 figures | Int.J.Theor.Phys.46:2983-3004,2007 | 10.1007/s10773-007-9413-3 | CBPF-NF-012/05 | hep-th math-ph math.MP nlin.CD | null | We present an N=2-supersymmetric mechanical system whose bosonic sector, with
two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory
with the assumption of spatially homogeneous field configurations and a
particular ansatz imposed on the gauge potentials in the dimensional reduction
procedure. The Painleve test is adopted to discuss integrability and we focus
on the role of supersymmetry and parity invariance in two space dimensions for
the attainment of integrable or chaotic models. Our conclusion is that the
relationships among the parameters imposed by supersymmetry seem to drastically
reduce the number of possibilities for integrable interaction potentials of the
mechanical system under consideration.
| [
{
"created": "Tue, 26 Apr 2005 18:31:30 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2005 21:52:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"de Assis",
"Leonardo P. G.",
""
],
[
"Helayel-Neto",
"Jose A.",
""
],
[
"Paschoal",
"Ricardo C.",
""
]
] | We present an N=2-supersymmetric mechanical system whose bosonic sector, with two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory with the assumption of spatially homogeneous field configurations and a particular ansatz imposed on the gauge potentials in the dimensional reduction procedure. The Painleve test is adopted to discuss integrability and we focus on the role of supersymmetry and parity invariance in two space dimensions for the attainment of integrable or chaotic models. Our conclusion is that the relationships among the parameters imposed by supersymmetry seem to drastically reduce the number of possibilities for integrable interaction potentials of the mechanical system under consideration. |
hep-th/0408191 | V. Parameswaran Nair | Yasuhiro Abe, V.P. Nair and Mu-In Park | Multigluon amplitudes, ${\cal N}=4$ constraints and the WZW model | LaTeX, 18 pages, references added | Phys.Rev. D71 (2005) 025002 | 10.1103/PhysRevD.71.025002 | CCNY-HEP-04/9 | hep-th | null | Classical ${\cal N}=4$ Yang-Mills theory is defined by the superspace
constraints. We obtain a solution of a subset of these constraints and show
that it leads to the maximally helicity violating (MHV) amplitudes. The action
which leads to the solvable part of the constraints is a Wess-Zumino-Witten
(WZW) action on a suitably extended superspace. The non-MHV tree amplitudes can
also be expressed in terms of this action.
| [
{
"created": "Wed, 25 Aug 2004 20:54:06 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2005 01:23:05 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Abe",
"Yasuhiro",
""
],
[
"Nair",
"V. P.",
""
],
[
"Park",
"Mu-In",
""
]
] | Classical ${\cal N}=4$ Yang-Mills theory is defined by the superspace constraints. We obtain a solution of a subset of these constraints and show that it leads to the maximally helicity violating (MHV) amplitudes. The action which leads to the solvable part of the constraints is a Wess-Zumino-Witten (WZW) action on a suitably extended superspace. The non-MHV tree amplitudes can also be expressed in terms of this action. |
2208.01333 | Ankur Srivastav | Ankur Srivastav, Sunandan Gangopadhyay, and Ashis Saha | Born-Infeld corrections to holographic transport coefficients with
spatially modulated chemical potential | 8 pages, no figures, matched with accepted version in the European
Physical Journal C | Eur. Phys. J. C 83, 458 (2023) | 10.1140/epjc/s10052-023-11611-x | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work, we have analytically computed the holographic transport
coefficients for (2 + 1)- dimensional strongly coupled field theories, placed
in a spatially modulated chemical potential along the x-direction, in the
presence of Born-Infeld electrodynamics. We have obtained these coefficients in
terms of the black hole horizon data only. We have observed that the
Born-Infeld parameter affects these coefficients in a non-trivial way. We have,
then, used these results to further study a holographic model for ultra-clean
graphene near Dirac point. This is a two current model with an inhomogeneous
holographic lattice.
| [
{
"created": "Tue, 2 Aug 2022 09:47:41 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Aug 2022 06:00:05 GMT",
"version": "v2"
},
{
"created": "Mon, 15 May 2023 05:48:31 GMT",
"version": "v3"
}
] | 2023-06-05 | [
[
"Srivastav",
"Ankur",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Saha",
"Ashis",
""
]
] | In this work, we have analytically computed the holographic transport coefficients for (2 + 1)- dimensional strongly coupled field theories, placed in a spatially modulated chemical potential along the x-direction, in the presence of Born-Infeld electrodynamics. We have obtained these coefficients in terms of the black hole horizon data only. We have observed that the Born-Infeld parameter affects these coefficients in a non-trivial way. We have, then, used these results to further study a holographic model for ultra-clean graphene near Dirac point. This is a two current model with an inhomogeneous holographic lattice. |
2305.00497 | Jose Queiruga | S. Navarro-Obreg\'on, L.M. Nieto and J.M. Queiruga | Inclusion of radiation in the CCM approach of the $\phi^4$ model | 32 pages, 12 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We present an effective Lagrangian for the $\phi^4$ model that includes
radiation modes as collective coordinates. The coupling between these modes to
the discrete part of the spectrum, i.e., the zero mode and the shape mode,
gives rise to different phenomena which can be understood in a simple way in
our approach. In particular, the energy transfer between radiation, translation
and shape modes is carefully investigated in the single-kink sector. Finally,
we also discuss the inclusion of radiation modes in the study of oscillons.
This leads to relevant phenomena such as the oscillon decay and the
kink-antikink creation.
| [
{
"created": "Sun, 30 Apr 2023 14:48:40 GMT",
"version": "v1"
}
] | 2023-05-02 | [
[
"Navarro-Obregón",
"S.",
""
],
[
"Nieto",
"L. M.",
""
],
[
"Queiruga",
"J. M.",
""
]
] | We present an effective Lagrangian for the $\phi^4$ model that includes radiation modes as collective coordinates. The coupling between these modes to the discrete part of the spectrum, i.e., the zero mode and the shape mode, gives rise to different phenomena which can be understood in a simple way in our approach. In particular, the energy transfer between radiation, translation and shape modes is carefully investigated in the single-kink sector. Finally, we also discuss the inclusion of radiation modes in the study of oscillons. This leads to relevant phenomena such as the oscillon decay and the kink-antikink creation. |
1608.01214 | Adrian Lewandowski | Piotr H. Chankowski (Warsaw U.), Adrian Lewandowski (Potsdam, Max
Planck Inst. and Warsaw U.), Krzysztof A. Meissner (Warsaw U.) | Ultraviolet cutoffs and the photon mass | 4 pages, 1 figure, updated references | null | 10.5506/APhysPolB.48.5 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The momentum UV cutoff in Quantum Field Theory is usually treated as an
auxiliary device allowing to obtain finite amplitudes satisfying all physical
requirements. It is even absent (not explicit) in the most popular approach -
the dimensional regularization. We point out that the momentum cutoff treated
as a bona fide physical scale, presumably equal or related to the Planck scale,
would lead to unacceptable predictions. One of the dangers is a non-zero mass
of the photon. In the naive approach, even with the cutoff equal to the Planck
scale, this mass would grossly exceed the existing experimental bounds. We
present the actual calculation using a concrete realization of the physical
cutoff and speculate about the way to restore gauge symmetry order by order in
the inverse powers of the cutoff scale.
| [
{
"created": "Wed, 3 Aug 2016 15:01:34 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2016 13:20:54 GMT",
"version": "v2"
}
] | 2017-04-05 | [
[
"Chankowski",
"Piotr H.",
"",
"Warsaw U."
],
[
"Lewandowski",
"Adrian",
"",
"Potsdam, Max\n Planck Inst. and Warsaw U."
],
[
"Meissner",
"Krzysztof A.",
"",
"Warsaw U."
]
] | The momentum UV cutoff in Quantum Field Theory is usually treated as an auxiliary device allowing to obtain finite amplitudes satisfying all physical requirements. It is even absent (not explicit) in the most popular approach - the dimensional regularization. We point out that the momentum cutoff treated as a bona fide physical scale, presumably equal or related to the Planck scale, would lead to unacceptable predictions. One of the dangers is a non-zero mass of the photon. In the naive approach, even with the cutoff equal to the Planck scale, this mass would grossly exceed the existing experimental bounds. We present the actual calculation using a concrete realization of the physical cutoff and speculate about the way to restore gauge symmetry order by order in the inverse powers of the cutoff scale. |
1610.08952 | Monica Guica | Monica Guica | Bulk fields from the boundary OPE | Added a detailed derivation of the bulk field in radial gauge, an
appendix, references and various comments and cosmetic changes | null | null | NORDITA-2016-144 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Previous work has established an equality between the geodesic integral of a
free bulk field in AdS and the contribution of the conformal descendants of its
dual CFT primary operator to the OPE of two other operators inserted at the
endpoints of the geodesic. Working in the context of the AdS$_3$/CFT$_2$
correspondence, we extend this relation to include the $1/N$ corrections to the
bulk field obtained by dressing it with i) a $U(1)$ current and ii) the CFT
stress tensor. In the former case, we argue that the contribution of the
Ka\v{c}-Moody descendants to the respective boundary OPE equals the geodesic
integral of a particular $U(1)$-dressed bulk field, which is framed to the
boundary via a split Wilson line. In the latter case, we compute the
gravitational $1/N$ corrections to the bulk field in various gauges, and then
write a CFT expression for a putative bulk field whose geodesic integral
captures the contribution of Virasoro descendants to the OPE of interest. We
comment on the bulk interpretation of this expression.
| [
{
"created": "Thu, 27 Oct 2016 19:43:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2017 14:41:17 GMT",
"version": "v2"
}
] | 2017-01-05 | [
[
"Guica",
"Monica",
""
]
] | Previous work has established an equality between the geodesic integral of a free bulk field in AdS and the contribution of the conformal descendants of its dual CFT primary operator to the OPE of two other operators inserted at the endpoints of the geodesic. Working in the context of the AdS$_3$/CFT$_2$ correspondence, we extend this relation to include the $1/N$ corrections to the bulk field obtained by dressing it with i) a $U(1)$ current and ii) the CFT stress tensor. In the former case, we argue that the contribution of the Ka\v{c}-Moody descendants to the respective boundary OPE equals the geodesic integral of a particular $U(1)$-dressed bulk field, which is framed to the boundary via a split Wilson line. In the latter case, we compute the gravitational $1/N$ corrections to the bulk field in various gauges, and then write a CFT expression for a putative bulk field whose geodesic integral captures the contribution of Virasoro descendants to the OPE of interest. We comment on the bulk interpretation of this expression. |
1002.4566 | George Lavrelashvili | George Lavrelashvili | On instability of Rubakov-Shaposhnikov model | 7 pages, including 1 figure | null | null | AEI-2010-028 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Instability of 6 dimensional Rubakov-Shaposhnikov model is reinvestigated. It
is shown that the model is unstable in scalar perturbations sector with very
particular instability pattern: there are no unstable modes for the first two
lowest angular harmonics, m=0 and m=1, whereas there is a single negative mode
for each higher m.
| [
{
"created": "Wed, 24 Feb 2010 15:54:50 GMT",
"version": "v1"
}
] | 2010-03-02 | [
[
"Lavrelashvili",
"George",
""
]
] | Instability of 6 dimensional Rubakov-Shaposhnikov model is reinvestigated. It is shown that the model is unstable in scalar perturbations sector with very particular instability pattern: there are no unstable modes for the first two lowest angular harmonics, m=0 and m=1, whereas there is a single negative mode for each higher m. |
1907.12306 | Naoto Yokoi | Naoto Yokoi, Koji Sato, and Eiji Saitoh | Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz
Equation from Yang-Mills Fields | 18 pages, 2 figures | Phys. Rev. D 100, 106012 (2019) | 10.1103/PhysRevD.100.106012 | null | hep-th cond-mat.mes-hall cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new approach to understand magnetization dynamics in
ferromagnets based on the holographic realization of ferromagnets. A
Landau-Lifshitz equation describing the magnetization dynamics is derived from
a Yang-Mills equation in the dual gravitational theory, and temperature
dependences of the spin-wave stiffness and spin transfer torque appearing in
the holographic Landau-Lifshitz equation are investigated by the holographic
approach. The results are consistent with the known properties of magnetization
dynamics in ferromagnets with conduction electrons.
| [
{
"created": "Mon, 29 Jul 2019 09:45:44 GMT",
"version": "v1"
}
] | 2019-11-27 | [
[
"Yokoi",
"Naoto",
""
],
[
"Sato",
"Koji",
""
],
[
"Saitoh",
"Eiji",
""
]
] | We introduce a new approach to understand magnetization dynamics in ferromagnets based on the holographic realization of ferromagnets. A Landau-Lifshitz equation describing the magnetization dynamics is derived from a Yang-Mills equation in the dual gravitational theory, and temperature dependences of the spin-wave stiffness and spin transfer torque appearing in the holographic Landau-Lifshitz equation are investigated by the holographic approach. The results are consistent with the known properties of magnetization dynamics in ferromagnets with conduction electrons. |
2105.01083 | Jerome Quintin | Jerome Quintin, Heliudson Bernardo, Guilherme Franzmann | Cosmology at the top of the $\alpha'$ tower | 37 pages, 5 figures; v2: minor changes, references added; v3: minor
changes, matches published version | JHEP07(2021)149 | 10.1007/JHEP07(2021)149 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The cosmology of the fully $\alpha'$-corrected duality-invariant action for
the Neveu-Schwarz sector of string theory is revisited, with special emphasis
on its coupling to matter sources. The role of the duality covariant pressure
and dilatonic charge of the matter sector is explored in various contexts, from
the low-curvature regime to non-perturbative solutions in $\alpha'$. We comment
on how an infinite tower of $\alpha'$ corrections allows for fixed-dilaton de
Sitter solutions, even in vacuum. We further investigate the necessary
conditions for accelerated expansion in the Einstein frame, as well as for
non-singular bounces that could resolve the big bang singularity. In
particular, explicit examples are constructed, which show that the tower of
$\alpha'$ corrections may support an Einstein-frame non-singular cosmological
bouncing background, even when the matter sector respects the null energy
condition.
| [
{
"created": "Mon, 3 May 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2021 17:21:15 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Jul 2021 17:33:40 GMT",
"version": "v3"
}
] | 2021-07-26 | [
[
"Quintin",
"Jerome",
""
],
[
"Bernardo",
"Heliudson",
""
],
[
"Franzmann",
"Guilherme",
""
]
] | The cosmology of the fully $\alpha'$-corrected duality-invariant action for the Neveu-Schwarz sector of string theory is revisited, with special emphasis on its coupling to matter sources. The role of the duality covariant pressure and dilatonic charge of the matter sector is explored in various contexts, from the low-curvature regime to non-perturbative solutions in $\alpha'$. We comment on how an infinite tower of $\alpha'$ corrections allows for fixed-dilaton de Sitter solutions, even in vacuum. We further investigate the necessary conditions for accelerated expansion in the Einstein frame, as well as for non-singular bounces that could resolve the big bang singularity. In particular, explicit examples are constructed, which show that the tower of $\alpha'$ corrections may support an Einstein-frame non-singular cosmological bouncing background, even when the matter sector respects the null energy condition. |
hep-th/9605010 | Neil Lambert | N.D. Lambert | Heterotic p-branes from Massive Sigma Models | 23 pages Phyzzx. Extended discussion of self-duality of a gauge field
in eight dimensions. To appear in Nucl. Phys. B | Nucl.Phys. B477 (1996) 141-154 | 10.1016/0550-3213(96)00366-5 | DAMTP-R/96/24 | hep-th | null | We explicitly construct massive (0,4) supersymmetric ADHM sigma models which
have heterotic p-brane solitons as their conformal fixed points. These yield
the familiar gauge 5-brane and a new 1-brane solution which preserve 1/2 and
1/4 of the spacetime supersymmetry respectively. We also discuss an analogous
construction for the type II NS-NS p-branes using (4,4) supersymmetric models.
| [
{
"created": "Thu, 2 May 1996 14:43:43 GMT",
"version": "v1"
},
{
"created": "Tue, 21 May 1996 11:10:11 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jul 1996 10:42:10 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Lambert",
"N. D.",
""
]
] | We explicitly construct massive (0,4) supersymmetric ADHM sigma models which have heterotic p-brane solitons as their conformal fixed points. These yield the familiar gauge 5-brane and a new 1-brane solution which preserve 1/2 and 1/4 of the spacetime supersymmetry respectively. We also discuss an analogous construction for the type II NS-NS p-branes using (4,4) supersymmetric models. |
hep-th/0410207 | Leonardo Pati\~no | Leonardo Pati\~no and Douglas J. Smith | On the non-existence of totally localised intersections of D3/D5 branes
in type IIB SUGRA | 13 pages, Typos corrected | JHEP0504:003,2005 | 10.1088/1126-6708/2005/04/003 | null | hep-th | null | In the present paper we study the most general configuration of intersecting
D3/D5 branes in type IIB supergravity satisfying Poincare invariance in the
directions common to the branes and SO(3) symmetry in the totally perpendicular
directions. The form of these configurations is greatly restricted by the
Killing spinor equations and the equations of motion, which among other things,
force the Ramond-Ramond scalar to be zero and do not permit the existence of
totally localised intersections of this kind.
| [
{
"created": "Wed, 20 Oct 2004 19:13:29 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2004 18:13:33 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Patiño",
"Leonardo",
""
],
[
"Smith",
"Douglas J.",
""
]
] | In the present paper we study the most general configuration of intersecting D3/D5 branes in type IIB supergravity satisfying Poincare invariance in the directions common to the branes and SO(3) symmetry in the totally perpendicular directions. The form of these configurations is greatly restricted by the Killing spinor equations and the equations of motion, which among other things, force the Ramond-Ramond scalar to be zero and do not permit the existence of totally localised intersections of this kind. |
hep-th/0306188 | Lukyanov Sergei | S.L. Lukyanov, A.B. Zamolodchikov | Integrable Circular Brane Model and Coulomb Charging at Large Conduction | 20 pages, minor changes | J.Stat.Mech.0405:P05003,2004 | 10.1088/1742-5468/2004/05/P05003 | RUNHETC-2003-20 | hep-th cond-mat math-ph math.MP | null | We study a model of 2D QFT with boundary interaction, in which two-component
massless Bose field is constrained to a circle at the boundary. We argue that
this model is integrable at two values of the topological angle, $\theta =0$
and $\theta=\pi$. For $\theta=0$ we propose exact partition function in terms
of solutions of ordinary linear differential equation. The circular brane model
is equivalent to the model of quantum Brownian dynamics commonly used in
describing the Coulomb charging in quantum dots, in the limit of small
dimensionless resistance $g_0$ of the tunneling contact. Our proposal
translates to partition function of this model at integer charge.
| [
{
"created": "Thu, 19 Jun 2003 19:26:19 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2003 17:41:13 GMT",
"version": "v2"
}
] | 2011-02-16 | [
[
"Lukyanov",
"S. L.",
""
],
[
"Zamolodchikov",
"A. B.",
""
]
] | We study a model of 2D QFT with boundary interaction, in which two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of the topological angle, $\theta =0$ and $\theta=\pi$. For $\theta=0$ we propose exact partition function in terms of solutions of ordinary linear differential equation. The circular brane model is equivalent to the model of quantum Brownian dynamics commonly used in describing the Coulomb charging in quantum dots, in the limit of small dimensionless resistance $g_0$ of the tunneling contact. Our proposal translates to partition function of this model at integer charge. |
0906.3845 | Alexander Zhidenko | P. Kanti, Hideo Kodama, R. A. Konoplya, N. Pappas and A. Zhidenko | Graviton Emission in the Bulk by a Simply Rotating Black Hole | 28 pages, Latex | Phys.Rev.D80:084016,2009 | 10.1103/PhysRevD.80.084016 | KEK-Cosmo-30 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the emission of tensor-type gravitational degrees of
freedom from a higher-dimensional, simply rotating black hole in the bulk. The
decoupled radial part of the corresponding field equation is first solved
analytically in the limit of low-energy emitted particles and low-angular
momentum of the black hole in order to derive the absorption probability. Both
the angular and radial equations are then solved numerically, and the
comparison of the analytical and numerical results show a very good agreement
in the low and intermediate energy regimes. By using our exact, numerical
results we compute the energy and angular momentum emission rates and their
dependence on the spacetime parameters such as the number of additional
spacelike dimensions and the angular momentum of the black hole. Particular
care is given to the convergence of our results in terms of the number of modes
taken into account in the calculation, and the multiplicity of graviton tensor
modes that correspond to the same angular-momentum numbers.
| [
{
"created": "Sun, 21 Jun 2009 04:31:40 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Jun 2009 11:09:10 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jun 2010 02:27:37 GMT",
"version": "v3"
}
] | 2010-06-08 | [
[
"Kanti",
"P.",
""
],
[
"Kodama",
"Hideo",
""
],
[
"Konoplya",
"R. A.",
""
],
[
"Pappas",
"N.",
""
],
[
"Zhidenko",
"A.",
""
]
] | In this work, we study the emission of tensor-type gravitational degrees of freedom from a higher-dimensional, simply rotating black hole in the bulk. The decoupled radial part of the corresponding field equation is first solved analytically in the limit of low-energy emitted particles and low-angular momentum of the black hole in order to derive the absorption probability. Both the angular and radial equations are then solved numerically, and the comparison of the analytical and numerical results show a very good agreement in the low and intermediate energy regimes. By using our exact, numerical results we compute the energy and angular momentum emission rates and their dependence on the spacetime parameters such as the number of additional spacelike dimensions and the angular momentum of the black hole. Particular care is given to the convergence of our results in terms of the number of modes taken into account in the calculation, and the multiplicity of graviton tensor modes that correspond to the same angular-momentum numbers. |
1005.1544 | Ali Naseh | Mohsen Alishahiha, Ali Naseh | Holographic Renormalization of New Massive Gravity | 23 pages,typos corrected, refs added | Phys.Rev.D82:104043,2010 | 10.1103/PhysRevD.82.104043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic renormalization for three dimensional new massive
gravity (NMG). By studying the general fall off conditions for the metric
allowed by the model at infinity, we show that at the critical point where the
central charges of the dual CFT are zero it contains a leading logarithmic
behavior. In the context of AdS/CFT correspondence it can be identified as a
source for an irrelevant operator in the dual CFT. The presence of the
logarithmic fall off may be interpreted as the fact that the dual CFT would be
a LCFT.
| [
{
"created": "Mon, 10 May 2010 13:47:58 GMT",
"version": "v1"
},
{
"created": "Sun, 16 May 2010 19:22:20 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Naseh",
"Ali",
""
]
] | We study holographic renormalization for three dimensional new massive gravity (NMG). By studying the general fall off conditions for the metric allowed by the model at infinity, we show that at the critical point where the central charges of the dual CFT are zero it contains a leading logarithmic behavior. In the context of AdS/CFT correspondence it can be identified as a source for an irrelevant operator in the dual CFT. The presence of the logarithmic fall off may be interpreted as the fact that the dual CFT would be a LCFT. |
1006.3497 | Iosif Bena | Iosif Bena, Nikolay Bobev, Stefano Giusto, Clement Ruef and Nicholas
P. Warner | An Infinite-Dimensional Family of Black-Hole Microstate Geometries | 46 pages, 1 figure, LaTeX | JHEP 1103:022,2011; Erratum-ibid.1104:059,2011 | 10.1007/JHEP03(2011)022 10.1007/JHEP04(2011)059 | IPhT-T10/081 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the first explicit, smooth, horizonless black-hole microstate
geometry whose moduli space is described by an arbitrary function of one
variable and is thus infinite-dimensional. This is achieved by constructing the
scalar Green function on a simple D6 anti-D6 background, and using this Green
function to obtain the fully back-reacted solution for a supertube with varying
charge density in this background. We show that this supertube can store
parametrically more entropy than in flat space, confirming the entropy
enhancement mechanism that was predicted using brane probes. We also show that
all the local properties of the fully back-reacted solution can, in fact, be
obtained using the DBI action of an appropriate brane probe. In particular, the
supergravity and the DBI analysis yield identical functional bubble equations
that govern the relative locations of the centers. This indicates that there is
a non-renormalization theorem that protects these functional equations as one
moves in moduli space. Our construction creates configurations that are beyond
the scope of recent arguments that appear to put strong limits on the entropy
that can be found in smooth supergravity solutions.
| [
{
"created": "Thu, 17 Jun 2010 15:39:18 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Bena",
"Iosif",
""
],
[
"Bobev",
"Nikolay",
""
],
[
"Giusto",
"Stefano",
""
],
[
"Ruef",
"Clement",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We construct the first explicit, smooth, horizonless black-hole microstate geometry whose moduli space is described by an arbitrary function of one variable and is thus infinite-dimensional. This is achieved by constructing the scalar Green function on a simple D6 anti-D6 background, and using this Green function to obtain the fully back-reacted solution for a supertube with varying charge density in this background. We show that this supertube can store parametrically more entropy than in flat space, confirming the entropy enhancement mechanism that was predicted using brane probes. We also show that all the local properties of the fully back-reacted solution can, in fact, be obtained using the DBI action of an appropriate brane probe. In particular, the supergravity and the DBI analysis yield identical functional bubble equations that govern the relative locations of the centers. This indicates that there is a non-renormalization theorem that protects these functional equations as one moves in moduli space. Our construction creates configurations that are beyond the scope of recent arguments that appear to put strong limits on the entropy that can be found in smooth supergravity solutions. |
1406.3312 | Sabrina Pasterski | Daniel Kapec, Vyacheslav Lysov, Sabrina Pasterski and Andrew
Strominger | Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix | 22 pages, 1 figure | JHEP 1408, 058 (2014) | 10.1007/JHEP08(2014)058 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the tree-level S-matrix for quantum gravity in
four-dimensional Minkowski space has a Virasoro symmetry which acts on the
conformal sphere at null infinity.
| [
{
"created": "Thu, 12 Jun 2014 18:31:19 GMT",
"version": "v1"
}
] | 2017-11-17 | [
[
"Kapec",
"Daniel",
""
],
[
"Lysov",
"Vyacheslav",
""
],
[
"Pasterski",
"Sabrina",
""
],
[
"Strominger",
"Andrew",
""
]
] | It is shown that the tree-level S-matrix for quantum gravity in four-dimensional Minkowski space has a Virasoro symmetry which acts on the conformal sphere at null infinity. |
hep-th/9403135 | Pavel Etingof | Pavel Etingof and Kostantin Styrkas | Algebraic integrability of Schr\"odinger operators and representations
of Lie algebras | 19 pages | null | null | null | hep-th math.QA | null | In this paper we study integrability and algebraic integrability properties
of certain matrix Schr\"odinger operators. More specifically, we associate such
an operator (with rational, trigonometric, or elliptic coefficients) to every
simple Lie algebra g and every representation U of this algebra with a nonzero
but finite dimensional zero weight subspace. The Calogero-Sutherland operator
is a special case of this construction. Such an operator is always integrable.
Our main result is that it is also algebraically integrable in the rational and
trigonometric case if the representation U is highest weight. This generalizes
the corresponding result for Calogero-Sutherland operators proved by Chalyh and
Vaselov. We also conjecture that this is true for the elliptic case as well,
which is a generalization of the corresponding conjecture by Chalyh and Vaselov
for Calogero-Sutherland operators.
| [
{
"created": "Tue, 22 Mar 1994 20:01:52 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Etingof",
"Pavel",
""
],
[
"Styrkas",
"Kostantin",
""
]
] | In this paper we study integrability and algebraic integrability properties of certain matrix Schr\"odinger operators. More specifically, we associate such an operator (with rational, trigonometric, or elliptic coefficients) to every simple Lie algebra g and every representation U of this algebra with a nonzero but finite dimensional zero weight subspace. The Calogero-Sutherland operator is a special case of this construction. Such an operator is always integrable. Our main result is that it is also algebraically integrable in the rational and trigonometric case if the representation U is highest weight. This generalizes the corresponding result for Calogero-Sutherland operators proved by Chalyh and Vaselov. We also conjecture that this is true for the elliptic case as well, which is a generalization of the corresponding conjecture by Chalyh and Vaselov for Calogero-Sutherland operators. |
1208.5773 | David Pirtskhalava | Gregory Gabadadze, Kurt Hinterbichler, Justin Khoury, David
Pirtskhalava, Mark Trodden | A Covariant Master Theory for Novel Galilean Invariant Models and
Massive Gravity | 27 pages | Phys. Rev. D 86, 124004 (2012) | 10.1103/PhysRevD.86.124004 | UCSD-PTH-12-11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Coupling the galileons to a curved background has been a tradeoff between
maintaining second order equations of motion, maintaining the galilean shift
symmetries, and allowing the background metric to be dynamical. We propose a
construction which can achieve all three for a novel class of galilean
invariant models, by coupling a scalar with the galilean symmetry to a massive
graviton. This generalizes the brane construction for galileons, by adding to
the brane a dynamical metric, (non-universally) interacting with the galileon
field. Alternatively, it can be thought of as an extension of the ghost-free
massive gravity, or as a massive graviton-galileon scalar-tensor theory. In the
decoupling limit of these theories, new kinds of galileon invariant
interactions arise between the scalar and the longitudinal mode of the
graviton. These have higher order equations of motion and infinite powers of
the field, yet are ghost-free.
| [
{
"created": "Tue, 28 Aug 2012 20:00:37 GMT",
"version": "v1"
}
] | 2012-12-24 | [
[
"Gabadadze",
"Gregory",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Khoury",
"Justin",
""
],
[
"Pirtskhalava",
"David",
""
],
[
"Trodden",
"Mark",
""
]
] | Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction which can achieve all three for a novel class of galilean invariant models, by coupling a scalar with the galilean symmetry to a massive graviton. This generalizes the brane construction for galileons, by adding to the brane a dynamical metric, (non-universally) interacting with the galileon field. Alternatively, it can be thought of as an extension of the ghost-free massive gravity, or as a massive graviton-galileon scalar-tensor theory. In the decoupling limit of these theories, new kinds of galileon invariant interactions arise between the scalar and the longitudinal mode of the graviton. These have higher order equations of motion and infinite powers of the field, yet are ghost-free. |
hep-th/0209057 | Takehiro Azuma | Takehiro Azuma, Maxime Bagnoud | Curved-space classical solutions of a massive supermatrix model | 16 pages, no figure, v2: shortened and clarified version, v3: some
minor typos corrected | Nucl.Phys. B651 (2003) 71-86 | 10.1016/S0550-3213(02)01072-6 | KUNS-1796, NEIP-02-006 | hep-th | null | We investigate here a supermatrix model with a mass term and a cubic
interaction. It is based on the super Lie algebra osp(1|32,R), which could play
a role in the construction of the eleven-dimensional M-theory. This model
contains a massive version of the IIB matrix model, where some fields have a
tachyonic mass term. Therefore, the trivial vacuum of this theory is unstable.
However, this model possesses several classical solutions where these fields
build noncommutative curved spaces and these solutions are shown to be
energetically more favorable than the trivial vacuum. In particular, we
describe in details two cases, the SO(3) \times SO(3) \times SO(3) (three fuzzy
2-spheres) and the SO(9) (fuzzy 8-sphere) classical backgrounds.
| [
{
"created": "Fri, 6 Sep 2002 14:16:56 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Oct 2002 16:34:48 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Dec 2002 09:27:23 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Azuma",
"Takehiro",
""
],
[
"Bagnoud",
"Maxime",
""
]
] | We investigate here a supermatrix model with a mass term and a cubic interaction. It is based on the super Lie algebra osp(1|32,R), which could play a role in the construction of the eleven-dimensional M-theory. This model contains a massive version of the IIB matrix model, where some fields have a tachyonic mass term. Therefore, the trivial vacuum of this theory is unstable. However, this model possesses several classical solutions where these fields build noncommutative curved spaces and these solutions are shown to be energetically more favorable than the trivial vacuum. In particular, we describe in details two cases, the SO(3) \times SO(3) \times SO(3) (three fuzzy 2-spheres) and the SO(9) (fuzzy 8-sphere) classical backgrounds. |
2201.11687 | Raimon Luna | David Licht, Raimon Luna, Ryotaku Suzuki | Lattice Black Branes at Large $D$ | 24 pages, 13 figures. v3: Matches published version | JHEP 04 (2022) 063 | 10.1007/JHEP04(2022)063 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the phase space of non-uniform black branes compactified on
oblique lattices with a large number of dimensions. We find the phase diagrams
for different periodicities and angles, and determine the thermodynamically
preferred phases for each lattice configuration. In a range of angles, we
observe that some phases become metastable.
| [
{
"created": "Thu, 27 Jan 2022 17:37:12 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Feb 2022 22:01:29 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Apr 2022 16:16:15 GMT",
"version": "v3"
}
] | 2022-04-14 | [
[
"Licht",
"David",
""
],
[
"Luna",
"Raimon",
""
],
[
"Suzuki",
"Ryotaku",
""
]
] | We explore the phase space of non-uniform black branes compactified on oblique lattices with a large number of dimensions. We find the phase diagrams for different periodicities and angles, and determine the thermodynamically preferred phases for each lattice configuration. In a range of angles, we observe that some phases become metastable. |
0811.4644 | Soonkeon Nam | Sunggeun Lee and Soonkeon Nam | Behavior of tachyon in string cosmology based on gauged WZW model | 10 figures | Mod.Phys.Lett.A24:277-289,2009 | 10.1142/S0217732309030059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a string theoretic cosmological model in the context of the
gauged Wess-Zumino-Witten model. Our model is based on a product of non-compact
coset space and a spectator flat space; $[SL(2,R)/U(1)]_k \times {\bf R}^2$. We
extend the formerly studied semiclassical consideration with infinite Kac-Moody
level $k$ to a finite one. In this case, the tachyon field appears in the
effective action, and we solve the Einstein equation to determine the behavior
of tachyon as a function of time. We find that tachyon field dominates over
dilaton field in early times. In particular, we consider the energy conditions
of the matter fields consisting of the dilaton and the tachyon which affect the
initial singularity. We find that not only the strong energy but also the null
energy condition is violated.
| [
{
"created": "Fri, 28 Nov 2008 04:15:28 GMT",
"version": "v1"
}
] | 2011-06-09 | [
[
"Lee",
"Sunggeun",
""
],
[
"Nam",
"Soonkeon",
""
]
] | We investigate a string theoretic cosmological model in the context of the gauged Wess-Zumino-Witten model. Our model is based on a product of non-compact coset space and a spectator flat space; $[SL(2,R)/U(1)]_k \times {\bf R}^2$. We extend the formerly studied semiclassical consideration with infinite Kac-Moody level $k$ to a finite one. In this case, the tachyon field appears in the effective action, and we solve the Einstein equation to determine the behavior of tachyon as a function of time. We find that tachyon field dominates over dilaton field in early times. In particular, we consider the energy conditions of the matter fields consisting of the dilaton and the tachyon which affect the initial singularity. We find that not only the strong energy but also the null energy condition is violated. |
hep-th/0001017 | R. S. Ward | R. S. Ward | The Interaction of Two Hopf Solitons | 8 pages, 3 Postscript figures, to be published in Physics Letters B | Phys.Lett. B473 (2000) 291-296 | 10.1016/S0370-2693(99)01503-8 | DTP/00/1 | hep-th | null | This Letter deals with topological solitons in an O(3) sigma model in three
space dimensions (with a Skyrme term to stabilize their size). The solitons are
classified topologically by their Hopf number N. The N=2 sector is studied; in
particular, for two solitons far apart, there are three ``attractive
channels''. Viewing the solitons as dipole pairs enables one to predict the
force between them. Relaxing in the attractive channels leads to various static
2-soliton solutions.
| [
{
"created": "Wed, 5 Jan 2000 15:06:52 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ward",
"R. S.",
""
]
] | This Letter deals with topological solitons in an O(3) sigma model in three space dimensions (with a Skyrme term to stabilize their size). The solitons are classified topologically by their Hopf number N. The N=2 sector is studied; in particular, for two solitons far apart, there are three ``attractive channels''. Viewing the solitons as dipole pairs enables one to predict the force between them. Relaxing in the attractive channels leads to various static 2-soliton solutions. |
2210.17522 | Douglas A. Singleton | Michael Dunia, P.Q. Hung, and Douglas Singleton | A new look at the Dirac quantization condition | Published version EPJC, 83, 487 (2023) | Eur.Phys.J.C 83 (2023) 6, 487 | 10.1140/epjc/s10052-023-11684-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The angular momentum of any quantum system should be {\it unambiguously}
quantized. We show that such a quantization fails for a pure Dirac monopole due
to a previously overlooked field angular momentum from the monopole-electric
charge system coming from the magnetic field of the Dirac string and the
electric field of the charge. Applying the point-splitting method to the
monopole-charge system yields a total angular momentum which obeys the standard
angular momentum algebra, but which is gauge {\it variant}. In contrast it is
possible to properly quantize the angular momentum of a topological 't
Hooft-Polyakov monopole plus charge. This implies that pure Dirac monopoles are
not viable -- only 't Hooft-Polyakov monopoles are theoretically consistent
with angular momentum quantization and gauge invariance.
| [
{
"created": "Mon, 12 Sep 2022 19:32:14 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2023 15:15:52 GMT",
"version": "v2"
},
{
"created": "Sat, 16 Sep 2023 17:59:09 GMT",
"version": "v3"
}
] | 2023-09-19 | [
[
"Dunia",
"Michael",
""
],
[
"Hung",
"P. Q.",
""
],
[
"Singleton",
"Douglas",
""
]
] | The angular momentum of any quantum system should be {\it unambiguously} quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge system coming from the magnetic field of the Dirac string and the electric field of the charge. Applying the point-splitting method to the monopole-charge system yields a total angular momentum which obeys the standard angular momentum algebra, but which is gauge {\it variant}. In contrast it is possible to properly quantize the angular momentum of a topological 't Hooft-Polyakov monopole plus charge. This implies that pure Dirac monopoles are not viable -- only 't Hooft-Polyakov monopoles are theoretically consistent with angular momentum quantization and gauge invariance. |
hep-th/0503147 | Iraida Cabrera-Carnero Dr. | I. Cabrera-Carnero | Abelian Toda field theories on the noncommutative plane | v3 30 pages, changes in the text, new sections included and
references added | JHEP 0510 (2005) 071 | 10.1088/1126-6708/2005/10/071 | CBPF-NF-007/05 | hep-th | null | Generalizations of GL(n) abelian Toda and $\widetilde{GL}(n)$ abelian affine
Toda field theories to the noncommutative plane are constructed. Our proposal
relies on the noncommutative extension of a zero-curvature condition satisfied
by algebra-valued gauge potentials dependent on the fields. This condition can
be expressed as noncommutative Leznov-Saveliev equations which make possible to
define the noncommutative generalizations as systems of second order
differential equations, with an infinite chain of conserved currents. The
actions corresponding to these field theories are also provided. The special
cases of GL(2) Liouville and $\widetilde{GL}(2)$ sinh/sine-Gordon are
explicitly studied. It is also shown that from the noncommutative
(anti-)self-dual Yang-Mills equations in four dimensions it is possible to
obtain by dimensional reduction the equations of motion of the two-dimensional
models constructed. This fact supports the validity of the noncommutative
version of the Ward conjecture. The relation of our proposal to previous
versions of some specific Toda field theories reported in the literature is
presented as well.
| [
{
"created": "Sat, 19 Mar 2005 00:24:54 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2005 21:20:31 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Oct 2005 17:59:07 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Cabrera-Carnero",
"I.",
""
]
] | Generalizations of GL(n) abelian Toda and $\widetilde{GL}(n)$ abelian affine Toda field theories to the noncommutative plane are constructed. Our proposal relies on the noncommutative extension of a zero-curvature condition satisfied by algebra-valued gauge potentials dependent on the fields. This condition can be expressed as noncommutative Leznov-Saveliev equations which make possible to define the noncommutative generalizations as systems of second order differential equations, with an infinite chain of conserved currents. The actions corresponding to these field theories are also provided. The special cases of GL(2) Liouville and $\widetilde{GL}(2)$ sinh/sine-Gordon are explicitly studied. It is also shown that from the noncommutative (anti-)self-dual Yang-Mills equations in four dimensions it is possible to obtain by dimensional reduction the equations of motion of the two-dimensional models constructed. This fact supports the validity of the noncommutative version of the Ward conjecture. The relation of our proposal to previous versions of some specific Toda field theories reported in the literature is presented as well. |
1702.08458 | Anthony Charles | Anthony M. Charles, Finn Larsen, Daniel R. Mayerson | Non-Renormalization For Non-Supersymmetric Black Holes | 29 pages + appendices, 3 tables | null | 10.1007/JHEP08(2017)048 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze large logarithmic corrections to 4D black hole entropy and relate
them to the Weyl anomaly. We use duality to show that counter-terms in
Einstein-Maxwell theory can be expressed in terms of geometry alone, with no
dependence on matter terms. We analyze the two known $\mathcal{N} = 2$
supersymmetric invariants for various non-supersymmetric black holes and find
that both reduce to the Euler invariant. The $c$-anomaly therefore vanishes in
these theories and the coefficient of the large logarithms becomes topological.
It is therefore independent of continuous black hole parameters, such as the
mass, even far from extremality.
| [
{
"created": "Mon, 27 Feb 2017 19:00:03 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Charles",
"Anthony M.",
""
],
[
"Larsen",
"Finn",
""
],
[
"Mayerson",
"Daniel R.",
""
]
] | We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in Einstein-Maxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known $\mathcal{N} = 2$ supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant. The $c$-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological. It is therefore independent of continuous black hole parameters, such as the mass, even far from extremality. |
hep-th/0510159 | Marvin Weinstein | Marvin Weinstein | Adaptive Perturbation Theory I: Quantum Mechanics | 21 pages, 4 figures, uses psfig.sty. This paper is being replaced to
add references to previously published work which I became aware of after
posting the original paper | null | null | SLAC-PUB-11260 | hep-th cond-mat.other quant-ph | null | Adaptive perturbation is a new method for perturbatively computing the
eigenvalues and eigenstates of quantum mechanical Hamiltonians that heretofore
were not believed to be obtainable by such methods. The novel feature of
adaptive perturbation theory is that it decomposes a given Hamiltonian, $H$,
into an unperturbed part and a perturbation in a way which extracts the leading
non-perturbative behavior of the problem exactly. This paper introduces the
method in the context of the pure anharmonic oscillator and then goes on to
apply it to the case of tunneling between both symmetric and asymmetric minima.
It concludes with an introduction to the extension of these methods to the
discussion of a quantum field theory. A more complete discussion of this issue
will be given in the second paper in this series. This paper will show how to
use the method of adaptive perturbation theory to non-perturbatively extract
the structure of mass, wavefunction and coupling constant renormalization.
| [
{
"created": "Tue, 18 Oct 2005 21:36:34 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2006 22:57:14 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Weinstein",
"Marvin",
""
]
] | Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that heretofore were not believed to be obtainable by such methods. The novel feature of adaptive perturbation theory is that it decomposes a given Hamiltonian, $H$, into an unperturbed part and a perturbation in a way which extracts the leading non-perturbative behavior of the problem exactly. This paper introduces the method in the context of the pure anharmonic oscillator and then goes on to apply it to the case of tunneling between both symmetric and asymmetric minima. It concludes with an introduction to the extension of these methods to the discussion of a quantum field theory. A more complete discussion of this issue will be given in the second paper in this series. This paper will show how to use the method of adaptive perturbation theory to non-perturbatively extract the structure of mass, wavefunction and coupling constant renormalization. |
hep-th/9709211 | Hirosi Ooguri | Hirosi Ooguri (UC Berkeley/LBNL) | M Theory Fivebrane and SQCD | 8 pages, 4 figures, latex. Talk presented at STRINGS'97, Amsterdam | Nucl.Phys.Proc.Suppl.68:84-91,1998 | 10.1016/S0920-5632(98)00142-X | UCB-PTH-97/49, LBNL-40843 | hep-th | null | Talk presented at Strings `97 in Amsterdam (June 16 - 21, 1997)
| [
{
"created": "Mon, 29 Sep 1997 21:07:37 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
"",
"UC Berkeley/LBNL"
]
] | Talk presented at Strings `97 in Amsterdam (June 16 - 21, 1997) |
hep-th/0403126 | Pascal Grange | Pascal Grange | Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus | 12 pages, LaTeX | JHEP0410:002,2004 | 10.1088/1126-6708/2004/10/002 | CPHT-RR 005.0204 | hep-th | null | It was recently suggested by A. Kapustin that turning on a $B$-field, and
allowing some discrepancy between the left and and right-moving complex
structures, must induce an identification of B-branes with holomorphic line
bundles on a non-commutative complex torus. We translate the stability
condition for the branes into this language and identify the stable topological
branes with previously proposed non-commutative instanton equations. This
involves certain topological identities whose derivation has become familiar in
non-commutative field theory. It is crucial for these identities that the
instantons are localized. We therefore explore the case of non-constant field
strength, whose non-linearities are dealt with thanks to the rank-one
Seiberg--Witten map.
| [
{
"created": "Thu, 11 Mar 2004 17:13:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Grange",
"Pascal",
""
]
] | It was recently suggested by A. Kapustin that turning on a $B$-field, and allowing some discrepancy between the left and and right-moving complex structures, must induce an identification of B-branes with holomorphic line bundles on a non-commutative complex torus. We translate the stability condition for the branes into this language and identify the stable topological branes with previously proposed non-commutative instanton equations. This involves certain topological identities whose derivation has become familiar in non-commutative field theory. It is crucial for these identities that the instantons are localized. We therefore explore the case of non-constant field strength, whose non-linearities are dealt with thanks to the rank-one Seiberg--Witten map. |
1905.05522 | Qiang Wen | Muxin Han and Qiang Wen | Entanglement entropy from entanglement contour: higher dimensions | 28pages, comments are welcom; V2, 35 pages and lot of figures. The
paper is almost rewritten everywhere. The main topic changes to the
classification of the regulators in QFTs. The title is changed and the new
version includes the results of the previous version and clarifies some
subtle and incorrect points; V3, minor improvements; V4, minor revision, to
appear on Scipost Physics Core | SciPost Phys. Core 5, 020 (2022) | 10.21468/SciPostPhysCore.5.2.020 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We study the \textit{entanglement contour} and \textit{partial entanglement
entropy} (PEE) in quantum field theories in 3 and higher dimensions. The
entanglement entropy is evaluated from a certain limit of the PEE with a
geometric regulator. In the context of the \textit{entanglement contour}, we
classify the geometric regulators, study their difference from the UV
regulators. Furthermore, for spherical regions in conformal field theories
(CFTs) we find the exact relation between the UV and geometric cutoff, which
clarifies some subtle points in the previous literature.
We clarify a subtle point of the additive linear combination (ALC) proposal
for PEE in higher dimensions. The subset entanglement entropies in the
\textit{ALC proposal} should all be evaluated as a limit of the PEE while
excluding a fixed class of local-short-distance correlation. Unlike the
2-dimensional configurations, naively plugging the entanglement entropy
calculated with a UV cutoff will spoil the validity of the \textit{ALC
proposal}. We derive the \textit{entanglement contour} function for spherical
regions, annuli and spherical shells in the vacuum state of general-dimensional
CFTs on a hyperplane.
| [
{
"created": "Tue, 14 May 2019 11:13:10 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Nov 2021 14:32:02 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Nov 2021 02:15:20 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Apr 2022 04:10:02 GMT",
"version": "v4"
}
] | 2022-05-17 | [
[
"Han",
"Muxin",
""
],
[
"Wen",
"Qiang",
""
]
] | We study the \textit{entanglement contour} and \textit{partial entanglement entropy} (PEE) in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated from a certain limit of the PEE with a geometric regulator. In the context of the \textit{entanglement contour}, we classify the geometric regulators, study their difference from the UV regulators. Furthermore, for spherical regions in conformal field theories (CFTs) we find the exact relation between the UV and geometric cutoff, which clarifies some subtle points in the previous literature. We clarify a subtle point of the additive linear combination (ALC) proposal for PEE in higher dimensions. The subset entanglement entropies in the \textit{ALC proposal} should all be evaluated as a limit of the PEE while excluding a fixed class of local-short-distance correlation. Unlike the 2-dimensional configurations, naively plugging the entanglement entropy calculated with a UV cutoff will spoil the validity of the \textit{ALC proposal}. We derive the \textit{entanglement contour} function for spherical regions, annuli and spherical shells in the vacuum state of general-dimensional CFTs on a hyperplane. |
hep-th/9811241 | Nevena Ilieva | S. Gogilidze, N. Ilieva, V.N. Pervushin | Dirac Variables and Zero Modes of Gauss Constraint in Finite-Volume
Two-Dimensional QED | 13 pages, LaTeX | Int.J.Mod.Phys. A14 (1999) 3531-3542 | 10.1142/S0217751X99001639 | UWThPh-1998-6 | hep-th | null | The finite-volume QED$_{1+1}$ is formulated in terms of Dirac variables by an
explicit solution of the Gauss constraint with possible nontrivial boundary
conditions taken into account. The intrinsic nontrivial topology of the gauge
group is thus revealed together with its zero-mode residual dynamics.
Topologically nontrivial gauge transformations generate collective excitations
of the gauge field above Coleman's ground state, that are completely decoupled
from local dynamics, the latter being equivalent to a free massive scalar field
theory.
| [
{
"created": "Fri, 27 Nov 1998 18:21:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gogilidze",
"S.",
""
],
[
"Ilieva",
"N.",
""
],
[
"Pervushin",
"V. N.",
""
]
] | The finite-volume QED$_{1+1}$ is formulated in terms of Dirac variables by an explicit solution of the Gauss constraint with possible nontrivial boundary conditions taken into account. The intrinsic nontrivial topology of the gauge group is thus revealed together with its zero-mode residual dynamics. Topologically nontrivial gauge transformations generate collective excitations of the gauge field above Coleman's ground state, that are completely decoupled from local dynamics, the latter being equivalent to a free massive scalar field theory. |
1204.3092 | Thomas Grimm | Thomas W. Grimm, Washington Taylor | Structure in 6D and 4D N=1 supergravity theories from F-theory | 63 pages | null | 10.1007/JHEP10(2012)105 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore some aspects of 4D supergravity theories and F-theory vacua that
are parallel to structures in the space of 6D theories. The spectrum and
topological terms in 4D supergravity theories correspond to topological data of
F-theory geometry, just as in six dimensions. In particular, topological
axion-curvature squared couplings appear in 4D theories; these couplings are
characterized by vectors in the dual to the lattice of axion shift symmetries
associated with string charges. These terms are analogous to the Green-Schwarz
terms of 6D supergravity theories, though in 4D the terms are not generally
linked with anomalies. We outline the correspondence between F-theory topology
and data of the corresponding 4D supergravity theories. The correspondence of
geometry with structure in the low-energy action illuminates topological
aspects of heterotic-F-theory duality in 4D as well as in 6D. The existence of
an F-theory realization also places geometrical constraints on the 4D
supergravity theory in the large-volume limit.
| [
{
"created": "Fri, 13 Apr 2012 20:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2012 11:48:46 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Taylor",
"Washington",
""
]
] | We explore some aspects of 4D supergravity theories and F-theory vacua that are parallel to structures in the space of 6D theories. The spectrum and topological terms in 4D supergravity theories correspond to topological data of F-theory geometry, just as in six dimensions. In particular, topological axion-curvature squared couplings appear in 4D theories; these couplings are characterized by vectors in the dual to the lattice of axion shift symmetries associated with string charges. These terms are analogous to the Green-Schwarz terms of 6D supergravity theories, though in 4D the terms are not generally linked with anomalies. We outline the correspondence between F-theory topology and data of the corresponding 4D supergravity theories. The correspondence of geometry with structure in the low-energy action illuminates topological aspects of heterotic-F-theory duality in 4D as well as in 6D. The existence of an F-theory realization also places geometrical constraints on the 4D supergravity theory in the large-volume limit. |
hep-th/9901124 | null | I. P. Ennes, S. G. Naculich, H. Rhedin, and H. J. Schnitzer | One-instanton predictions of Seiberg-Witten curves for product groups | 8 pages, no figures; v3: minor correction | Phys.Lett. B452 (1999) 260-264 | 10.1016/S0370-2693(99)00301-9 | BRX-TH-446, BOW-PH-113, HUTP-98/A084 | hep-th | null | One-instanton predictions for the prepotential are obtained from the
Seiberg-Witten curve for the Coulomb branch of N=2 supersymmetric gauge theory
for the product group \prod_{n=1}^{m} SU(N_n) with a massless matter
hypermultiplet in the bifundamental representation (N_n,\bar N_{n+1}) of
SU(N_n) x SU(N_{n+1}) for n=1 to m-1, together with N_0 and N_{m+1} matter
hypermultiplets in the fundamental representations of SU(N_1) and SU(N_m)
respectively. The derivation uses a generalization of the systematic
perturbation expansion about a hyperelliptic curve developed by us in earlier
work.
| [
{
"created": "Mon, 25 Jan 1999 20:18:59 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 2003 17:45:37 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ennes",
"I. P.",
""
],
[
"Naculich",
"S. G.",
""
],
[
"Rhedin",
"H.",
""
],
[
"Schnitzer",
"H. J.",
""
]
] | One-instanton predictions for the prepotential are obtained from the Seiberg-Witten curve for the Coulomb branch of N=2 supersymmetric gauge theory for the product group \prod_{n=1}^{m} SU(N_n) with a massless matter hypermultiplet in the bifundamental representation (N_n,\bar N_{n+1}) of SU(N_n) x SU(N_{n+1}) for n=1 to m-1, together with N_0 and N_{m+1} matter hypermultiplets in the fundamental representations of SU(N_1) and SU(N_m) respectively. The derivation uses a generalization of the systematic perturbation expansion about a hyperelliptic curve developed by us in earlier work. |
1412.3921 | Farzaneh Atyabi | Farzaneh Atyabi | Localization of quantum topology in the presence of matter and gauge
fields | null | null | 10.1142/S0219887815500917 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper a toy model of quantum topology is reviewed to study effects of
matter and gauge fields on the topology fluctuations. In the model a collection
of N one dimensional manifolds are considered where a set of boundary
conditions on states of Hilbert space specifies a set of all topologies
perceived by quantum particle and probability of having a specific topology is
determined by a partition function over all the topologies in the context of
noncommutative spectral geometry. In general the topologies will be fuzzy with
the exception of a particular case which is localized by imposing a specific
boundary condition. Here fermions and bosons are added to the model. It is
shown that in the presence of matter, the fuzziness of topology will be
dependent on N, however for large N the dependence is removed similar to the
case without matter. Also turning on a particular background gauge field, can
overcome the fuzziness of topology to reach a localized topology with classical
interpretation. It can be seen that for large N more opportunities can be
provided for choosing the background gauge field to localize the fuzzy
topology.
| [
{
"created": "Fri, 12 Dec 2014 08:45:16 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Atyabi",
"Farzaneh",
""
]
] | In this paper a toy model of quantum topology is reviewed to study effects of matter and gauge fields on the topology fluctuations. In the model a collection of N one dimensional manifolds are considered where a set of boundary conditions on states of Hilbert space specifies a set of all topologies perceived by quantum particle and probability of having a specific topology is determined by a partition function over all the topologies in the context of noncommutative spectral geometry. In general the topologies will be fuzzy with the exception of a particular case which is localized by imposing a specific boundary condition. Here fermions and bosons are added to the model. It is shown that in the presence of matter, the fuzziness of topology will be dependent on N, however for large N the dependence is removed similar to the case without matter. Also turning on a particular background gauge field, can overcome the fuzziness of topology to reach a localized topology with classical interpretation. It can be seen that for large N more opportunities can be provided for choosing the background gauge field to localize the fuzzy topology. |
0906.0401 | Koji Hashimoto | Gary W. Gibbons, Koji Hashimoto, Shinji Hirano | Gravitational Dual of Tachyon Condensation | 4 pages, v2: references and footnotes added | JHEP 0909:100,2009 | 10.1088/1126-6708/2009/09/100 | RIKEN-TH-156, DAMTP-2009-44 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a system of N D3-branes in which open string tachyons survive in the
low energy alpha' -> 0 limit. We compute the height of the tachyon potential
both in the weak and strong couplings by using N=4 super Yang-Mills and the
dual AdS_5 descriptions respectively. We find an exact agreement between the
two descriptions in the large N limit. This provides an example of
gravitational duals of open string tachyon condensation.
| [
{
"created": "Tue, 2 Jun 2009 01:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2009 13:48:40 GMT",
"version": "v2"
}
] | 2009-10-02 | [
[
"Gibbons",
"Gary W.",
""
],
[
"Hashimoto",
"Koji",
""
],
[
"Hirano",
"Shinji",
""
]
] | We study a system of N D3-branes in which open string tachyons survive in the low energy alpha' -> 0 limit. We compute the height of the tachyon potential both in the weak and strong couplings by using N=4 super Yang-Mills and the dual AdS_5 descriptions respectively. We find an exact agreement between the two descriptions in the large N limit. This provides an example of gravitational duals of open string tachyon condensation. |
hep-th/9211061 | A. A. Tseytlin | A.A. Tseytlin | Finite sigma models and exact string solutions with Minkowski signature
metric | 24 pages, harvmac, Imperial/TP/92-93/7 | Phys.Rev.D47:3421-3429,1993 | 10.1103/PhysRevD.47.3421 | null | hep-th | null | We consider $2d$ sigma models with a $D=2+N$ - dimensional Minkowski
signature target space metric having a covariantly constant null Killing
vector. These models are UV finite. The $2+N$-dimensional target space metric
can be explicitly determined for a class of supersymmetric sigma models with
$N$-dimensional `transverse' part of the target space being homogeneous
K\"ahler. The corresponding `transverse' sub-theory is an $n=2$ supersymmetric
sigma model with the exact $\gb$-function coinciding with its one-loop
expression. For example, the finite $D=4$ model has $O(3)$ supersymmetric sigma
model as its `transverse' part. Moreover, there exists a non-trivial dilaton
field such that the Weyl invariance conditions are also satisfied, i.e. the
resulting models correspond to string vacua. Generic solutions are represented
in terms of the RG flow in `transverse' theory. We suggest a possible
application of the constructed Weyl invariant sigma models to quantisation of
$2d$ gravity. They may be interpreted as `effective actions' of the quantum
$2d$ dilaton gravity coupled to a (non-conformal) $N$-dimensional `matter'
theory. The conformal factor of the $2d$ metric and $2d$ `dilaton' are
identified with the light cone coordinates of the $2+N$ - dimensional sigma
model.
| [
{
"created": "Fri, 13 Nov 1992 20:41:00 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
]
] | We consider $2d$ sigma models with a $D=2+N$ - dimensional Minkowski signature target space metric having a covariantly constant null Killing vector. These models are UV finite. The $2+N$-dimensional target space metric can be explicitly determined for a class of supersymmetric sigma models with $N$-dimensional `transverse' part of the target space being homogeneous K\"ahler. The corresponding `transverse' sub-theory is an $n=2$ supersymmetric sigma model with the exact $\gb$-function coinciding with its one-loop expression. For example, the finite $D=4$ model has $O(3)$ supersymmetric sigma model as its `transverse' part. Moreover, there exists a non-trivial dilaton field such that the Weyl invariance conditions are also satisfied, i.e. the resulting models correspond to string vacua. Generic solutions are represented in terms of the RG flow in `transverse' theory. We suggest a possible application of the constructed Weyl invariant sigma models to quantisation of $2d$ gravity. They may be interpreted as `effective actions' of the quantum $2d$ dilaton gravity coupled to a (non-conformal) $N$-dimensional `matter' theory. The conformal factor of the $2d$ metric and $2d$ `dilaton' are identified with the light cone coordinates of the $2+N$ - dimensional sigma model. |
hep-th/0701018 | Makoto Sakaguchi | Holger B. Nielsen and Masao Ninomiya | Degenerate vacua from unification of second law of thermodynamics with
other laws | 21 pages | null | null | YITP-06-38, OIQP-06-19 | hep-th | null | Using our recent attempt to formulate second law of thermodynamics in a
general way into a language with a probability density function, we derive
degenerate vacua. Under the assumption that many coupling constants are
effectively ``dynamical'' in the sense that they are or can be counted as
initial state conditions, we argue in our model behind the second law that
these coupling constants will adjust to make several vacua all having their
separate effective cosmological constants or, what is the same, energy
densities, being almost the \underline{same} value, essentially zero. Such
degeneracy of vacuum energy densities is what one of us works on a lot under
the name "The multiple point principle" (MPP).
| [
{
"created": "Wed, 3 Jan 2007 02:33:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] | Using our recent attempt to formulate second law of thermodynamics in a general way into a language with a probability density function, we derive degenerate vacua. Under the assumption that many coupling constants are effectively ``dynamical'' in the sense that they are or can be counted as initial state conditions, we argue in our model behind the second law that these coupling constants will adjust to make several vacua all having their separate effective cosmological constants or, what is the same, energy densities, being almost the \underline{same} value, essentially zero. Such degeneracy of vacuum energy densities is what one of us works on a lot under the name "The multiple point principle" (MPP). |
1703.04314 | Luca Smaldone | Massimo Blasone, Petr Jizba and Luca Smaldone | Functional integrals and inequivalent representations in Quantum Field
Theory | 42 pages | Annals of Physics 383C (2017) pp. 207-238 | 10.1016/j.aop.2017.05.022 | null | hep-th hep-ph math-ph math.FA math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss canonical transformations in Quantum Field Theory in the framework
of the functional-integral approach. In contrast with ordinary Quantum
Mechanics, canonical transformations in Quantum Field Theory are mathematically
more subtle due to the existence of unitarily inequivalent representations of
canonical commutation relations. When one works with functional integrals, it
is not immediately clear how this algebraic feature manifests itself in the
formalism. Here we attack this issue by considering the canonical
transformations in the context of coherent-state functional integrals.
Specifically, in the case of linear canonical transformations, we derive the
general functional-integral representations for both transition amplitude and
partition function phrased in terms of new canonical variables. By means of
this, we show how in the infinite-volume limit the canonical transformations
induce a transition from one representation of canonical commutation relations
to another one and under what conditions the representations are unitarily
inequivalent. We also consider the partition function and derive the energy gap
between statistical systems described in two different representations which,
among others, allows to establish a connection with continuous phase
transitions. We illustrate the inner workings of the outlined mechanism by
discussing two prototypical systems: the van Hove model and the Bogoliubov
model of weakly interacting Bose gas.
| [
{
"created": "Mon, 13 Mar 2017 10:16:54 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Blasone",
"Massimo",
""
],
[
"Jizba",
"Petr",
""
],
[
"Smaldone",
"Luca",
""
]
] | We discuss canonical transformations in Quantum Field Theory in the framework of the functional-integral approach. In contrast with ordinary Quantum Mechanics, canonical transformations in Quantum Field Theory are mathematically more subtle due to the existence of unitarily inequivalent representations of canonical commutation relations. When one works with functional integrals, it is not immediately clear how this algebraic feature manifests itself in the formalism. Here we attack this issue by considering the canonical transformations in the context of coherent-state functional integrals. Specifically, in the case of linear canonical transformations, we derive the general functional-integral representations for both transition amplitude and partition function phrased in terms of new canonical variables. By means of this, we show how in the infinite-volume limit the canonical transformations induce a transition from one representation of canonical commutation relations to another one and under what conditions the representations are unitarily inequivalent. We also consider the partition function and derive the energy gap between statistical systems described in two different representations which, among others, allows to establish a connection with continuous phase transitions. We illustrate the inner workings of the outlined mechanism by discussing two prototypical systems: the van Hove model and the Bogoliubov model of weakly interacting Bose gas. |
0907.5510 | Jesper Grimstrup | Johannes Aastrup, Jesper M. Grimstrup, Mario Paschke and Ryszard Nest | On Semi-Classical States of Quantum Gravity and Noncommutative Geometry | 31 pages, 10 figures | Commun.Math.Phys.302:675-696,2011 | 10.1007/s00220-010-1181-x | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct normalizable, semi-classical states for the previously proposed
model of quantum gravity which is formulated as a spectral triple over holonomy
loops. The semi-classical limit of the spectral triple gives the Dirac
Hamiltonian in 3+1 dimensions. Also, time-independent lapse and shift fields
emerge from the semi-classical states. Our analysis shows that the model might
contain fermionic matter degrees of freedom.
The semi-classical analysis presented in this paper does away with most of
the ambiguities found in the initial semi-finite spectral triple construction.
The cubic lattices play the role of a coordinate system and a divergent
sequence of free parameters found in the Dirac type operator is identified as a
certain inverse infinitesimal volume element.
| [
{
"created": "Fri, 31 Jul 2009 11:25:13 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"Aastrup",
"Johannes",
""
],
[
"Grimstrup",
"Jesper M.",
""
],
[
"Paschke",
"Mario",
""
],
[
"Nest",
"Ryszard",
""
]
] | We construct normalizable, semi-classical states for the previously proposed model of quantum gravity which is formulated as a spectral triple over holonomy loops. The semi-classical limit of the spectral triple gives the Dirac Hamiltonian in 3+1 dimensions. Also, time-independent lapse and shift fields emerge from the semi-classical states. Our analysis shows that the model might contain fermionic matter degrees of freedom. The semi-classical analysis presented in this paper does away with most of the ambiguities found in the initial semi-finite spectral triple construction. The cubic lattices play the role of a coordinate system and a divergent sequence of free parameters found in the Dirac type operator is identified as a certain inverse infinitesimal volume element. |
hep-th/0405144 | Jesus M. Moreno | B. de Carlos (Sussex U. and CERN), J.M. Moreno (IFT, Madrid) | Regular compactifications and Higgs model vortices | 16 pages, 7 figures | Phys.Rev. D70 (2004) 084032 | 10.1103/PhysRevD.70.084032 | CERN-PH-TH/2004-084, IFT-UAM-CSIC-04-19 | hep-th hep-ph | null | We present full numerical solutions to the system of a global string embedded
in a six-dimensional space time. The solutions are regular everywhere and do
confine gravity in our four-dimensional world. They depend on the value of the
(negative) cosmological constant in the bulk and on the parameters of the Higgs
potential, and we perform a systematic study to determine their allowed values.
We also comment on the relation of our results with previous studies on the
same subject and on their phenomenological viability.
| [
{
"created": "Mon, 17 May 2004 13:37:12 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"de Carlos",
"B.",
"",
"Sussex U. and CERN"
],
[
"Moreno",
"J. M.",
"",
"IFT, Madrid"
]
] | We present full numerical solutions to the system of a global string embedded in a six-dimensional space time. The solutions are regular everywhere and do confine gravity in our four-dimensional world. They depend on the value of the (negative) cosmological constant in the bulk and on the parameters of the Higgs potential, and we perform a systematic study to determine their allowed values. We also comment on the relation of our results with previous studies on the same subject and on their phenomenological viability. |
2112.11440 | Chethan Krishnan | Chethan Krishnan, Jude Pereira | A New Gauge for Asymptotically Flat Spacetime | 5 pages. v2,v3: typos fixed, slight re-wording, refs added, v4:
clarifications, speculative comments, author emails and references added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new gauge for asymptotically flat spacetime that can treat
future and past null infinities ($\mathscr{I}^{+}$ or $\mathscr{I}^{-}$)
democratically. Our gauge is complementary to Bondi and Ashtekar-Hansen gauges,
and is adapted to the $S$-matrix being the natural observable. One new feature
is that the holographic directions are null. We present a set of consistent
fall-offs in terms of null coordinates at $\mathscr{I}^{+}$ and
$\mathscr{I}^{-}$, with finite BMS$^{\pm}$ charges. The diagonal BMS$^0$
symmetry of the gravitational $S$-matrix emerges upon demanding {\em
asymptotic} CPT invariance. Trivial diffeomorphisms, (absence of) log
fall-offs, possible enhancements of BMS algebra, and the possibility of
holographic renormalization of data at $\mathscr{I}^{+}_-$ and
$\mathscr{I}^{-}_+$, play interesting roles. Gory details of the various new
technical features that emerge, are elaborated in a companion paper to this
letter.
| [
{
"created": "Tue, 21 Dec 2021 18:53:11 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jan 2022 17:53:42 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Jan 2022 18:40:18 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Jun 2022 11:04:59 GMT",
"version": "v4"
}
] | 2022-10-19 | [
[
"Krishnan",
"Chethan",
""
],
[
"Pereira",
"Jude",
""
]
] | We present a new gauge for asymptotically flat spacetime that can treat future and past null infinities ($\mathscr{I}^{+}$ or $\mathscr{I}^{-}$) democratically. Our gauge is complementary to Bondi and Ashtekar-Hansen gauges, and is adapted to the $S$-matrix being the natural observable. One new feature is that the holographic directions are null. We present a set of consistent fall-offs in terms of null coordinates at $\mathscr{I}^{+}$ and $\mathscr{I}^{-}$, with finite BMS$^{\pm}$ charges. The diagonal BMS$^0$ symmetry of the gravitational $S$-matrix emerges upon demanding {\em asymptotic} CPT invariance. Trivial diffeomorphisms, (absence of) log fall-offs, possible enhancements of BMS algebra, and the possibility of holographic renormalization of data at $\mathscr{I}^{+}_-$ and $\mathscr{I}^{-}_+$, play interesting roles. Gory details of the various new technical features that emerge, are elaborated in a companion paper to this letter. |
0905.3740 | Gianluca Calcagni | Gianluca Calcagni | Detailed balance in Horava-Lifshitz gravity | 10 pages. v2: discussion expanded and improved, section on
generalizations added, typos corrected, references added, conclusions
unchanged | Phys.Rev.D81:044006,2010 | 10.1103/PhysRevD.81.044006 | IGC-09/05-1 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Horava-Lifshitz gravity in the presence of a scalar field. When the
detailed balance condition is implemented, a new term in the gravitational
sector is added in order to maintain ultraviolet stability. The
four-dimensional theory is of a scalar-tensor type with a positive cosmological
constant and gravity is nonminimally coupled with the scalar and its gradient
terms. The scalar field has a double-well potential and, if required to play
the role of the inflation, can produce a scale-invariant spectrum. The total
action is rather complicated and there is no analog of the Einstein frame where
Lorentz invariance is recovered in the infrared. For these reasons it may be
necessary to abandon detailed balance. We comment on open problems and future
directions in anisotropic critical models of gravity.
| [
{
"created": "Fri, 22 May 2009 19:55:15 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2010 17:50:35 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Calcagni",
"Gianluca",
""
]
] | We study Horava-Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory is of a scalar-tensor type with a positive cosmological constant and gravity is nonminimally coupled with the scalar and its gradient terms. The scalar field has a double-well potential and, if required to play the role of the inflation, can produce a scale-invariant spectrum. The total action is rather complicated and there is no analog of the Einstein frame where Lorentz invariance is recovered in the infrared. For these reasons it may be necessary to abandon detailed balance. We comment on open problems and future directions in anisotropic critical models of gravity. |
0903.0778 | Matteo Beccaria | Matteo Beccaria and Gian Fabrizio De Angelis | On the wrapping correction to single magnon energy in twisted N=4 SYM | 15 pages | Int.J.Mod.Phys.A24:5803-5817,2009 | 10.1142/S0217751X09047375 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply Zeilberger summation to derive a closed formula for the wrapping
correction to one-impurity states in the su(2) sector of the beta-deformed N=4
SYM theory at beta=1/2. As an application depending heavily on the result, we
compute the large volume expansion of the wrapping correction.
| [
{
"created": "Wed, 4 Mar 2009 15:07:55 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2009 14:23:02 GMT",
"version": "v2"
}
] | 2010-01-07 | [
[
"Beccaria",
"Matteo",
""
],
[
"De Angelis",
"Gian Fabrizio",
""
]
] | We apply Zeilberger summation to derive a closed formula for the wrapping correction to one-impurity states in the su(2) sector of the beta-deformed N=4 SYM theory at beta=1/2. As an application depending heavily on the result, we compute the large volume expansion of the wrapping correction. |
hep-th/0102077 | Tom Banks | T.Banks, W.Fischler | M-theory observables for cosmological space-times | JHEP LaTeX, 29 pages | null | null | RUNHETC-2001-, SCIPP-01/2, UTTG-02-01 | hep-th | null | We discuss the construction of the analog of an S-matrix for space-times that
begin with a Big-Bang and asymptote to an FRW universe with nonnegative
cosmological constant. When the cosmological constant is positive there are
many such S-matrices, related mathematically by gauge transformations and
physically by an analog of the principle of black hole complementarity. In the
limit of vanishing $\Lambda$ these become (approximate) Poincare transforms of
each other. Considerations of the initial state require a quantum treatment of
space-time, and some preliminary steps towards constructing such a theory are
proposed. In this context we propose a model for the earliest semiclassical
state of the universe, which suggests a solution for the horizon problem
different from that provided by inflation.
| [
{
"created": "Wed, 14 Feb 2001 22:38:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Banks",
"T.",
""
],
[
"Fischler",
"W.",
""
]
] | We discuss the construction of the analog of an S-matrix for space-times that begin with a Big-Bang and asymptote to an FRW universe with nonnegative cosmological constant. When the cosmological constant is positive there are many such S-matrices, related mathematically by gauge transformations and physically by an analog of the principle of black hole complementarity. In the limit of vanishing $\Lambda$ these become (approximate) Poincare transforms of each other. Considerations of the initial state require a quantum treatment of space-time, and some preliminary steps towards constructing such a theory are proposed. In this context we propose a model for the earliest semiclassical state of the universe, which suggests a solution for the horizon problem different from that provided by inflation. |
2308.14706 | Siva Mythili Gonuguntla | Siva Mythili Gonuguntla and Douglas Singleton | Revisiting the Wu-Yang approach to magnetic charge | 16 pages, 3 figures EPS figures, revtex-4. Changes in text to take
into account referee comments/suggestions. To be published in Annals of
Physics | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Wu-Yang fiber bundle approach to magnetic charge is extended with a
disk-like sheet current density and associated magnetic field in the overlap
region between the Northern hemisphere and Southern hemisphere, where the
different vector potentials connect. This disk magnetic field plays a role
similar to the Dirac string in the Dirac approach to magnetic charge - it
brings an inward magnetic flux of $4 \pi g$ which then gives rise to an outward
Coulomb magnetic flux of $4 \pi g$. As with the Dirac string approach we show
that placing an electric charge near this disk magnetic field gives rise to a
non-zero electromagnetic field momentum. We discuss some of the possible
physical consequences of this electromagnetic field momentum. We conclude by
showing that the non-singular, but non-single valued Banderet monopole
potential also has a disk-like magnetic flux and non-zero electromagnetic field
momentum in the presence of an electric charge.
| [
{
"created": "Mon, 28 Aug 2023 17:00:16 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2024 18:26:05 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jun 2024 18:59:04 GMT",
"version": "v3"
}
] | 2024-06-25 | [
[
"Gonuguntla",
"Siva Mythili",
""
],
[
"Singleton",
"Douglas",
""
]
] | The Wu-Yang fiber bundle approach to magnetic charge is extended with a disk-like sheet current density and associated magnetic field in the overlap region between the Northern hemisphere and Southern hemisphere, where the different vector potentials connect. This disk magnetic field plays a role similar to the Dirac string in the Dirac approach to magnetic charge - it brings an inward magnetic flux of $4 \pi g$ which then gives rise to an outward Coulomb magnetic flux of $4 \pi g$. As with the Dirac string approach we show that placing an electric charge near this disk magnetic field gives rise to a non-zero electromagnetic field momentum. We discuss some of the possible physical consequences of this electromagnetic field momentum. We conclude by showing that the non-singular, but non-single valued Banderet monopole potential also has a disk-like magnetic flux and non-zero electromagnetic field momentum in the presence of an electric charge. |
hep-th/0512133 | Stefano Bolognesi | Stefano Bolognesi | Multi-monopoles and Magnetic Bags | 43 pages, 21 figures. v2: I have added an important Section where I
study the exact known solution of the axial symmetric multi-monopole. The
results are in agreement with the magnetic bag conjecture. I have also
corrected typos and improoved the presentation. v3: Added discussions about:
large n limit of multi-monopoles, Jarvis ration map, 't Hooft large n limit
and periodic multi-monopoles | Nucl.Phys.B752:93-123,2006 | 10.1016/j.nuclphysb.2006.06.022 | null | hep-th hep-ph | null | By analogy with the multi-vortices, we show that also multi-monopoles become
magnetic bags in the large n limit. This simplification allows us to compute
the spectrum and the profile functions by requiring the minimization of the
energy of the bag. We consider in detail the case of the magnetic bag in the
limit of vanishing potential and we find that it saturates the Bogomol'nyi
bound and there is an infinite set of different shapes of allowed bags. This is
consistent with the existence of a moduli space of solutions for the BPS
multi-monopoles. We discuss the string theory interpretation of our result and
also the relation between the 't Hooft large n limit of certain supersymmetric
gauge theories and the large n limit of multi-monopoles. We then consider
multi-monopoles in the cosmological contest and provide a mechanism that could
lead to their production.
| [
{
"created": "Mon, 12 Dec 2005 23:14:16 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 15:52:44 GMT",
"version": "v2"
},
{
"created": "Mon, 8 May 2006 19:00:13 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bolognesi",
"Stefano",
""
]
] | By analogy with the multi-vortices, we show that also multi-monopoles become magnetic bags in the large n limit. This simplification allows us to compute the spectrum and the profile functions by requiring the minimization of the energy of the bag. We consider in detail the case of the magnetic bag in the limit of vanishing potential and we find that it saturates the Bogomol'nyi bound and there is an infinite set of different shapes of allowed bags. This is consistent with the existence of a moduli space of solutions for the BPS multi-monopoles. We discuss the string theory interpretation of our result and also the relation between the 't Hooft large n limit of certain supersymmetric gauge theories and the large n limit of multi-monopoles. We then consider multi-monopoles in the cosmological contest and provide a mechanism that could lead to their production. |
hep-th/0303137 | Tanmay Vachaspati | Tanmay Vachaspati | Symmetries within domain walls | 5 pages. Added references | Phys.Rev. D67 (2003) 125002 | 10.1103/PhysRevD.67.125002 | null | hep-th | null | The comparison of symmetries in the interior and the exterior of a domain
wall is relevant when discussing the correspondence between domain walls and
branes, and also when studying the interaction of walls and magnetic monopoles.
I discuss the symmetries in the context of an SU(N) times Z_2 model (for odd N)
with a single adjoint scalar field. Situations in which the wall interior has
less symmetry than the vacuum are easy to construct while the reverse situation
requires significant engineering of the scalar potential.
| [
{
"created": "Fri, 14 Mar 2003 19:56:16 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 2003 22:22:45 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Vachaspati",
"Tanmay",
""
]
] | The comparison of symmetries in the interior and the exterior of a domain wall is relevant when discussing the correspondence between domain walls and branes, and also when studying the interaction of walls and magnetic monopoles. I discuss the symmetries in the context of an SU(N) times Z_2 model (for odd N) with a single adjoint scalar field. Situations in which the wall interior has less symmetry than the vacuum are easy to construct while the reverse situation requires significant engineering of the scalar potential. |
1804.05574 | Szabolcs Zakany | Marcos Marino and Szabolcs Zakany | Quantum curves as quantum distributions | 33 pages, 7 figures, v2: minor corrections and clarifications added | null | 10.1007/JHEP02(2019)106 | null | hep-th cond-mat.stat-mech math-ph math.MP math.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Topological strings on toric Calabi--Yau threefolds can be defined
non-perturbatively in terms of a free Fermi gas of N particles. Using this
approach, we propose a definition of quantum mirror curves as quantum
distributions on phase space. The quantum distribution is obtained as the
Wigner transform of the reduced density matrix of the Fermi gas. We show that
the classical mirror geometry emerges in the strongly coupled, large N limit in
which hbar ~ N. In this limit, the Fermi gas has effectively zero temperature,
and the Wigner distribution becomes sharply supported on the interior of the
classical mirror curve. The quantum fluctuations around the classical limit
turn out to be captured by an improved version of the universal scaling form of
Balazs and Zipfel.
| [
{
"created": "Mon, 16 Apr 2018 09:42:14 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Nov 2018 17:01:48 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Marino",
"Marcos",
""
],
[
"Zakany",
"Szabolcs",
""
]
] | Topological strings on toric Calabi--Yau threefolds can be defined non-perturbatively in terms of a free Fermi gas of N particles. Using this approach, we propose a definition of quantum mirror curves as quantum distributions on phase space. The quantum distribution is obtained as the Wigner transform of the reduced density matrix of the Fermi gas. We show that the classical mirror geometry emerges in the strongly coupled, large N limit in which hbar ~ N. In this limit, the Fermi gas has effectively zero temperature, and the Wigner distribution becomes sharply supported on the interior of the classical mirror curve. The quantum fluctuations around the classical limit turn out to be captured by an improved version of the universal scaling form of Balazs and Zipfel. |
hep-th/0503036 | Tetsuya Shiromizu | Yukinori Iwashita, Tetsuya Shiromizu, Keitaro Takahashi, Shunsuke
Fujii | Gravity is controlled by cosmological constant | 10 pages | Phys.Rev. D71 (2005) 083518 | 10.1103/PhysRevD.71.083518 | null | hep-th astro-ph gr-qc hep-ph | null | We discuss a Randall-Sundrum-type two D-braneworld model in which D-branes
possess different values of the tensions from those of the charges, and derive
an effective gravitational equation on the branes. As a consequence, the
Einstein-Maxwell theory is realized together with the non-zero cosmological
constant. Here an interesting point is that the effective gravitational
constant is proportional to the cosmological constant. If the distance between
two D-branes is appropriately tuned, the cosmological constant can have a
consistent value with the current observations. From this result we see that,
in our model, the presence of the cosmological constant is naturally explained
by the presence of the effective gravitational coupling of the Maxwell field on
the D-brane.
| [
{
"created": "Fri, 4 Mar 2005 07:55:03 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Iwashita",
"Yukinori",
""
],
[
"Shiromizu",
"Tetsuya",
""
],
[
"Takahashi",
"Keitaro",
""
],
[
"Fujii",
"Shunsuke",
""
]
] | We discuss a Randall-Sundrum-type two D-braneworld model in which D-branes possess different values of the tensions from those of the charges, and derive an effective gravitational equation on the branes. As a consequence, the Einstein-Maxwell theory is realized together with the non-zero cosmological constant. Here an interesting point is that the effective gravitational constant is proportional to the cosmological constant. If the distance between two D-branes is appropriately tuned, the cosmological constant can have a consistent value with the current observations. From this result we see that, in our model, the presence of the cosmological constant is naturally explained by the presence of the effective gravitational coupling of the Maxwell field on the D-brane. |
hep-th/0503041 | Harold Steinacker | Wolfgang Behr, Frank Meyer and Harold Steinacker | Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4 | 39 pages. V2-4: References added, typos fixed | JHEP 0507 (2005) 040 | 10.1088/1126-6708/2005/07/040 | LMU-ASC 17/05, MPP-2005-14 | hep-th | null | We define U(n) gauge theory on fuzzy S^2_N x S^2_N as a multi-matrix model,
which reduces to ordinary Yang-Mills theory on S^2 x S^2 in the commutative
limit N -> infinity. The model can be used as a regularization of gauge theory
on noncommutative R^4_\theta in a particular scaling limit, which is studied in
detail. We also find topologically non-trivial U(1) solutions, which reduce to
the known "fluxon" solutions in the limit of R^4_\theta, reproducing their full
moduli space. Other solutions which can be interpreted as 2-dimensional branes
are also found. The quantization of the model is defined non-perturbatively in
terms of a path integral which is finite. A gauge-fixed BRST-invariant action
is given as well. Fermions in the fundamental representation of the gauge group
are included using a formulation based on SO(6), by defining a fuzzy Dirac
operator which reduces to the standard Dirac operator on S^2 x S^2 in the
commutative limit. The chirality operator and Weyl spinors are also introduced.
| [
{
"created": "Fri, 4 Mar 2005 18:53:13 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2005 15:45:04 GMT",
"version": "v2"
},
{
"created": "Tue, 3 May 2005 13:47:52 GMT",
"version": "v3"
},
{
"created": "Tue, 24 May 2005 17:38:11 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Behr",
"Wolfgang",
""
],
[
"Meyer",
"Frank",
""
],
[
"Steinacker",
"Harold",
""
]
] | We define U(n) gauge theory on fuzzy S^2_N x S^2_N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S^2 x S^2 in the commutative limit N -> infinity. The model can be used as a regularization of gauge theory on noncommutative R^4_\theta in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1) solutions, which reduce to the known "fluxon" solutions in the limit of R^4_\theta, reproducing their full moduli space. Other solutions which can be interpreted as 2-dimensional branes are also found. The quantization of the model is defined non-perturbatively in terms of a path integral which is finite. A gauge-fixed BRST-invariant action is given as well. Fermions in the fundamental representation of the gauge group are included using a formulation based on SO(6), by defining a fuzzy Dirac operator which reduces to the standard Dirac operator on S^2 x S^2 in the commutative limit. The chirality operator and Weyl spinors are also introduced. |
1212.6257 | Sayeh Rajabi | Brenda Penante, Sayeh Rajabi, Grigory Sizov | CSW-like Expansion for Einstein Gravity | 18 pages, 4 figures, 2 tables, minor typo correction | null | 10.1007/JHEP05(2013)004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the recent formula presented by He and Cachazo-Mason-Skinner for the
link representation of tree-level N=8 supergravity amplitudes, we derived a
CSW-like expansion for the Next-to-MHV 6- and 7-graviton amplitudes by using
the global residue theorem; a technique introduced originally for Yang-Mills
amplitudes. We analytically checked the equivalence of one of the CSW terms and
its corresponding Risager's diagram. For the remaining 6-graviton and all
7-graviton terms, we numerically checked the agreement with Risager's
expansion. We showed that the conditions for the absence of contributions at
infinity of the global residue theorem are satisfied for any number of
particles. This means that our technique and Risager's should disagree starting
at twelve particles where Risager's method is known to fail.
| [
{
"created": "Wed, 26 Dec 2012 20:54:47 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jan 2013 04:19:48 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Penante",
"Brenda",
""
],
[
"Rajabi",
"Sayeh",
""
],
[
"Sizov",
"Grigory",
""
]
] | Using the recent formula presented by He and Cachazo-Mason-Skinner for the link representation of tree-level N=8 supergravity amplitudes, we derived a CSW-like expansion for the Next-to-MHV 6- and 7-graviton amplitudes by using the global residue theorem; a technique introduced originally for Yang-Mills amplitudes. We analytically checked the equivalence of one of the CSW terms and its corresponding Risager's diagram. For the remaining 6-graviton and all 7-graviton terms, we numerically checked the agreement with Risager's expansion. We showed that the conditions for the absence of contributions at infinity of the global residue theorem are satisfied for any number of particles. This means that our technique and Risager's should disagree starting at twelve particles where Risager's method is known to fail. |
0808.1340 | Costas Kounnas Dr | Costas Kounnas | Massive Boson-Fermion Degeneracy and the Early Structure of the Universe | 24 pages | Fortsch.Phys.56:1143-1156,2008 | 10.1002/prop.200810570 | LPTENS 08/44 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of a new kind of massive boson-fermion symmetry is shown
explicitly in the framework of the heterotic, type II and type II orientifold
superstring theories. The target space-time is two-dimensional. Higher
dimensional models are defined via large marginal deformations of JxJ-type. The
spectrum of the initial undeformed two dimensional vacuum consists of massless
boson degrees of freedom, while all massive boson and fermion degrees of
freedom exhibit a new Massive Spectrum Degeneracy Symmetry (MSDS). This precise
property, distinguishes the MSDS theories from the well known supersymmetric
SUSY-theories. Some proposals are stated in the framework of these theories
concerning the structure of: (i) The Early Non-singular Phase of the Universe,
(ii) The two dimensional boundary theory of AdS3 Black-Holes, (iii) Plausible
applications of the MSDS theories in particle physics, alternative to SUSY.
| [
{
"created": "Sat, 9 Aug 2008 15:28:10 GMT",
"version": "v1"
}
] | 2008-12-22 | [
[
"Kounnas",
"Costas",
""
]
] | The existence of a new kind of massive boson-fermion symmetry is shown explicitly in the framework of the heterotic, type II and type II orientifold superstring theories. The target space-time is two-dimensional. Higher dimensional models are defined via large marginal deformations of JxJ-type. The spectrum of the initial undeformed two dimensional vacuum consists of massless boson degrees of freedom, while all massive boson and fermion degrees of freedom exhibit a new Massive Spectrum Degeneracy Symmetry (MSDS). This precise property, distinguishes the MSDS theories from the well known supersymmetric SUSY-theories. Some proposals are stated in the framework of these theories concerning the structure of: (i) The Early Non-singular Phase of the Universe, (ii) The two dimensional boundary theory of AdS3 Black-Holes, (iii) Plausible applications of the MSDS theories in particle physics, alternative to SUSY. |
hep-th/9205045 | null | Silvia Penati and Daniela Zanon | Supersymmetric, Integrable Toda Field Theories: The B(1,1) Model | 14 pages | Phys.Lett. B288 (1992) 297-305 | 10.1016/0370-2693(92)91107-K | IFUM 421/FT | hep-th | null | We study the two-dimensional supersymmetric Toda theory based on the Lie
superalgebra $B(1,1) \equiv Osp(3|2)$ and construct its quantum W-currents. We
also investigate the fermionic affinization of this model: we show that despite
the non-unitary form of the Lagrangian the $B^{(1)}(1,1)$ theory has a real
particle mass spectrum which is not renormalized at one-loop. We construct the
first higher--spin conserved current, prove its conservation to all-loop order,
compute one-loop corrections to the corresponding charge and check consistency
between charge and mass renormalization.
| [
{
"created": "Fri, 15 May 1992 12:17:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Penati",
"Silvia",
""
],
[
"Zanon",
"Daniela",
""
]
] | We study the two-dimensional supersymmetric Toda theory based on the Lie superalgebra $B(1,1) \equiv Osp(3|2)$ and construct its quantum W-currents. We also investigate the fermionic affinization of this model: we show that despite the non-unitary form of the Lagrangian the $B^{(1)}(1,1)$ theory has a real particle mass spectrum which is not renormalized at one-loop. We construct the first higher--spin conserved current, prove its conservation to all-loop order, compute one-loop corrections to the corresponding charge and check consistency between charge and mass renormalization. |
hep-th/0304109 | Marco Zagermann | Murat Gunaydin and Marco Zagermann | Unified Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories
in Five Dimensions | Latex 2e, 28 pages. v2: reference added, footnote 14 enlarged | JHEP 0307:023,2003 | 10.1088/1126-6708/2003/07/023 | null | hep-th hep-ph | null | Unified N=2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity
theories in which all the vector fields, including the graviphoton, transform
in an irreducible representation of a simple global symmetry group of the
Lagrangian. As was established long time ago, in five dimensions there exist
only four unified Maxwell-Einstein supergravity theories whose target manifolds
are symmetric spaces. These theories are defined by the four simple Euclidean
Jordan algebras of degree three. In this paper, we show that, in addition to
these four unified MESGTs with symmetric target spaces, there exist three
infinite families of unified MESGTs as well as another exceptional one. These
novel unified MESGTs are defined by non-compact (Minkowskian) Jordan algebras,
and their target spaces are in general neither symmetric nor homogeneous. The
members of one of these three infinite families can be gauged in such a way as
to obtain an infinite family of unified N=2 Yang-Mills-Einstein supergravity
theories, in which all vector fields transform in the adjoint representation of
a simple gauge group of the type SU(N,1). The corresponding gaugings in the
other two infinite families lead to Yang-Mills-Einstein supergravity theories
coupled to tensor multiplets.
| [
{
"created": "Thu, 10 Apr 2003 20:16:27 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2003 17:19:44 GMT",
"version": "v2"
}
] | 2011-02-09 | [
[
"Gunaydin",
"Murat",
""
],
[
"Zagermann",
"Marco",
""
]
] | Unified N=2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity theories in which all the vector fields, including the graviphoton, transform in an irreducible representation of a simple global symmetry group of the Lagrangian. As was established long time ago, in five dimensions there exist only four unified Maxwell-Einstein supergravity theories whose target manifolds are symmetric spaces. These theories are defined by the four simple Euclidean Jordan algebras of degree three. In this paper, we show that, in addition to these four unified MESGTs with symmetric target spaces, there exist three infinite families of unified MESGTs as well as another exceptional one. These novel unified MESGTs are defined by non-compact (Minkowskian) Jordan algebras, and their target spaces are in general neither symmetric nor homogeneous. The members of one of these three infinite families can be gauged in such a way as to obtain an infinite family of unified N=2 Yang-Mills-Einstein supergravity theories, in which all vector fields transform in the adjoint representation of a simple gauge group of the type SU(N,1). The corresponding gaugings in the other two infinite families lead to Yang-Mills-Einstein supergravity theories coupled to tensor multiplets. |
0705.3874 | Ashoke Sen | Ashoke Sen | Two Centered Black Holes and N=4 Dyon Spectrum | LaTeX file, 12 pages; v3: added footnote 2 regarding overall sign of
the index, expanded footnote 3, added references | JHEP 0709:045,2007 | 10.1088/1126-6708/2007/09/045 | null | hep-th | null | The exact spectrum of dyons in a class of N=4 supersymmetric string theories
is known to change discontinuously across walls of marginal stability. We show
that the change in the degeneracy across the walls of marginal stability can be
accounted for precisely by the entropy of two centered small black holes which
disappear as we cross the walls of marginal stability.
| [
{
"created": "Sun, 27 May 2007 06:03:43 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2007 14:13:27 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jul 2007 04:19:46 GMT",
"version": "v3"
}
] | 2009-04-17 | [
[
"Sen",
"Ashoke",
""
]
] | The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy of two centered small black holes which disappear as we cross the walls of marginal stability. |
2011.12962 | Tokiro Numasawa | Tokiro Numasawa | Four coupled SYK models and Nearly AdS$_2$ gravities: Phase Transitions
in Traversable wormholes and in Bra-ket wormholes | 65 pages + appendix, 36 figures; v2: references added, some typos
corrected | null | null | MIT-CTP/5259 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study four coupled SYK models and nearly AdS$_2$ gravities. In the SYK
model side, we construct a model that couples two copies of two coupled SYK
models. In nearly AdS$_2$ gravity side, we entangle matter fields in two copies
of traversable wormholes. In both cases, the systems show first order phase
transitions at zero temperature by changing couplings, which is understood as
the exchange of traversable wormhole configurations. In nearly AdS$_2$ gravity
cases, by exchanging the role of space and time the wormholes are interpreted
as bra-ket wormholes. In Lorentzian signature, these bra-ket wormholes lead to
two closed universes that are entangled with each other as well as matter
fields in the flat space without dynamical gravity. We study the effect of
projection or entangling operation for matters on flat spaces and they cause
phase transitions in bra-ket wormholes, which leads to the pair annihilation of
closed universes. Using these bra-ket wormholes, we discuss the way to embed
states in 2d holographic CFTs into Hilbert space of many 2d free fields.
| [
{
"created": "Wed, 25 Nov 2020 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Aug 2021 14:34:29 GMT",
"version": "v2"
}
] | 2021-08-31 | [
[
"Numasawa",
"Tokiro",
""
]
] | We study four coupled SYK models and nearly AdS$_2$ gravities. In the SYK model side, we construct a model that couples two copies of two coupled SYK models. In nearly AdS$_2$ gravity side, we entangle matter fields in two copies of traversable wormholes. In both cases, the systems show first order phase transitions at zero temperature by changing couplings, which is understood as the exchange of traversable wormhole configurations. In nearly AdS$_2$ gravity cases, by exchanging the role of space and time the wormholes are interpreted as bra-ket wormholes. In Lorentzian signature, these bra-ket wormholes lead to two closed universes that are entangled with each other as well as matter fields in the flat space without dynamical gravity. We study the effect of projection or entangling operation for matters on flat spaces and they cause phase transitions in bra-ket wormholes, which leads to the pair annihilation of closed universes. Using these bra-ket wormholes, we discuss the way to embed states in 2d holographic CFTs into Hilbert space of many 2d free fields. |
1803.09752 | Mikica Kocic | Mikica Kocic | Geometric mean of bimetric spacetimes | minor edits, corrected typos, added references | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the geometric mean to parametrize metrics in the Hassan-Rosen
ghost-free bimetric theory and pose the initial-value problem. The geometric
mean of two positive definite symmetric matrices is a well-established
mathematical notion which can be, under certain conditions, extended to
quadratic forms having the Lorentzian signature, say metrics $g$ and $f$. In
such a case, the null cone of the geometric mean metric $h$ is in the middle of
the null cones of $g$ and $f$ appearing as a geometric average of a bimetric
spacetime. The parametrization based on $h$ ensures the reality of the square
root in the ghost-free bimetric interaction potential. Subsequently, we derive
the standard $n+1$ decomposition in a frame adapted to the geometric mean and
state the initial-value problem, that is, the evolution equations, the
constraints, and the preservation of the constraints equation.
| [
{
"created": "Mon, 26 Mar 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2019 13:25:41 GMT",
"version": "v2"
}
] | 2019-04-16 | [
[
"Kocic",
"Mikica",
""
]
] | We use the geometric mean to parametrize metrics in the Hassan-Rosen ghost-free bimetric theory and pose the initial-value problem. The geometric mean of two positive definite symmetric matrices is a well-established mathematical notion which can be, under certain conditions, extended to quadratic forms having the Lorentzian signature, say metrics $g$ and $f$. In such a case, the null cone of the geometric mean metric $h$ is in the middle of the null cones of $g$ and $f$ appearing as a geometric average of a bimetric spacetime. The parametrization based on $h$ ensures the reality of the square root in the ghost-free bimetric interaction potential. Subsequently, we derive the standard $n+1$ decomposition in a frame adapted to the geometric mean and state the initial-value problem, that is, the evolution equations, the constraints, and the preservation of the constraints equation. |
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