id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9906050 | Igor Nikitin | Stanislav Klimenko, Igor Nikitin | Exotic solutions in string theory | accepted in Il Nuovo Cimento A for publication in 1999 | Nuovo Cim. A111 (1998) 1431-1455 | 10.1007/BF03036006 | null | hep-th | null | Solutions of classical string theory, correspondent to the world sheets,
mapped in Minkowsky space with a fold, are considered. Typical processes for
them are creation of strings from vacuum, their recombination and annihilation.
These solutions violate positiveness of square of mass and Regge condition. In
quantum string theory these solutions correspond to physical states |DDF>+|sp>
with non-zero spurious component.
| [
{
"created": "Sat, 5 Jun 1999 01:35:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Klimenko",
"Stanislav",
""
],
[
"Nikitin",
"Igor",
""
]
] | Solutions of classical string theory, correspondent to the world sheets, mapped in Minkowsky space with a fold, are considered. Typical processes for them are creation of strings from vacuum, their recombination and annihilation. These solutions violate positiveness of square of mass and Regge condition. In quantum string theory these solutions correspond to physical states |DDF>+|sp> with non-zero spurious component. |
hep-th/9304099 | Anatoli Kirillov | Anatol N. Kirillov | Generalization of the Gale-Ryser theorem | 10 pages | null | null | null | hep-th math.CO | null | We prove an inequality for the Kostka-Foulkes polynomials $K_{\lambda
,\mu}(q)$. As a corollary, we obtain a nontrivial lower bound for the Kostka
numbers and a new proof of the Berenstein-Zelevinsky
weight-multiplicity-one-criterium.
| [
{
"created": "Wed, 21 Apr 1993 22:44:06 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 1993 23:10:54 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kirillov",
"Anatol N.",
""
]
] | We prove an inequality for the Kostka-Foulkes polynomials $K_{\lambda ,\mu}(q)$. As a corollary, we obtain a nontrivial lower bound for the Kostka numbers and a new proof of the Berenstein-Zelevinsky weight-multiplicity-one-criterium. |
1808.07054 | Monica Jinwoo Kang | Mboyo Esole, Monica Jinwoo Kang | Characteristic numbers of elliptic fibrations with non-trivial
Mordell-Weil groups | 23 pages, 14 Tables. arXiv admin note: text overlap with
arXiv:1807.08755 | null | null | null | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute characteristic numbers of elliptically fibered fourfolds with
multisections or non-trivial Mordell-Weil groups. We first consider the models
of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic
curves of degree $d$. We then analyze the characteristic numbers of the
$Q_7$-model, which provides a smooth model for elliptic fibrations of rank one
and generalizes the E$_5$, E$_6$, and E$_7$-models. Finally, we examine the
characteristic numbers of $G$-models with $G=\text{SO}(n)$ with $n=3,4,5,6$ and
$G=\text{PSU}(3)$ whose Mordell-Weil groups are respectively
$\mathbb{Z}/2\mathbb{Z}$ and $\mathbb{Z}/3 \mathbb{Z}$. In each case, we
compute the Chern and Pontryagin numbers, the Euler characteristic, the
holomorphic genera, the Todd-genus, the L-genus, the A-genus, and the
eight-form curvature invariant from M-theory.
| [
{
"created": "Tue, 21 Aug 2018 18:00:00 GMT",
"version": "v1"
}
] | 2018-08-23 | [
[
"Esole",
"Mboyo",
""
],
[
"Kang",
"Monica Jinwoo",
""
]
] | We compute characteristic numbers of elliptically fibered fourfolds with multisections or non-trivial Mordell-Weil groups. We first consider the models of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic curves of degree $d$. We then analyze the characteristic numbers of the $Q_7$-model, which provides a smooth model for elliptic fibrations of rank one and generalizes the E$_5$, E$_6$, and E$_7$-models. Finally, we examine the characteristic numbers of $G$-models with $G=\text{SO}(n)$ with $n=3,4,5,6$ and $G=\text{PSU}(3)$ whose Mordell-Weil groups are respectively $\mathbb{Z}/2\mathbb{Z}$ and $\mathbb{Z}/3 \mathbb{Z}$. In each case, we compute the Chern and Pontryagin numbers, the Euler characteristic, the holomorphic genera, the Todd-genus, the L-genus, the A-genus, and the eight-form curvature invariant from M-theory. |
1412.3979 | David Garner | Laurent Freidel, David Garner, Sanjaye Ramgoolam | Permutation combinatorics of worldsheet moduli space | 52 pages, 21 figures; minor corrections, "On the" dropped from title,
matches published version | Phys. Rev. D 91, 126001 (2015) | 10.1103/PhysRevD.91.126001 | QMUL-PH-14-21 | hep-th math.AG math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Light-cone string diagrams have been used to reproduce the orbifold Euler
characteristic of moduli spaces of punctured Riemann surfaces at low genus and
with few punctures. Nakamura studied the meromorphic differential introduced by
Giddings and Wolpert to characterise light-cone diagrams and introduced a class
of graphs related to this differential. These Nakamura graphs were used to
parametrise the cells in a light-cone cell decomposition of moduli space. We
develop links between Nakamura graphs and realisations of the worldsheet as
branched covers. This leads to a development of the combinatorics of Nakamura
graphs in terms of permutation tuples. For certain classes of cells, including
those of top dimension, there is a simple relation to Belyi maps, which allows
us to use results from Hermitian and complex matrix models to give analytic
formulae for the counting of cells at arbitrarily high genus. For the most
general cells, we develop a new equivalence relation on Hurwitz classes which
organises the cells and allows efficient enumeration of Nakamura graphs using
the group theory software GAP.
| [
{
"created": "Fri, 12 Dec 2014 12:56:48 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 2015 14:13:10 GMT",
"version": "v2"
}
] | 2015-07-27 | [
[
"Freidel",
"Laurent",
""
],
[
"Garner",
"David",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | Light-cone string diagrams have been used to reproduce the orbifold Euler characteristic of moduli spaces of punctured Riemann surfaces at low genus and with few punctures. Nakamura studied the meromorphic differential introduced by Giddings and Wolpert to characterise light-cone diagrams and introduced a class of graphs related to this differential. These Nakamura graphs were used to parametrise the cells in a light-cone cell decomposition of moduli space. We develop links between Nakamura graphs and realisations of the worldsheet as branched covers. This leads to a development of the combinatorics of Nakamura graphs in terms of permutation tuples. For certain classes of cells, including those of top dimension, there is a simple relation to Belyi maps, which allows us to use results from Hermitian and complex matrix models to give analytic formulae for the counting of cells at arbitrarily high genus. For the most general cells, we develop a new equivalence relation on Hurwitz classes which organises the cells and allows efficient enumeration of Nakamura graphs using the group theory software GAP. |
1406.6548 | Antonino Flachi | Antonino Flachi, Kenji Fukushima | Chiral gap effect in curved space | 5 pages; 1 figure | Phys. Rev. Lett. 113, 091102 (2014) | 10.1103/PhysRevLett.113.091102 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a new type of QCD phenomenon induced in curved space. In the QCD
vacuum, a mass-gap of Dirac fermions is attributed to the spontaneous breaking
of chiral symmetry. If the curvature is positive large, the chiral condensate
melts but a chiral invariant mass-gap can still remain, which we name the
chiral gap effect in curved space. This leads to decoupling of quark
deconfinement which implies a view of black holes surrounded by a first-order
QCD phase transition.
| [
{
"created": "Wed, 25 Jun 2014 12:48:36 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2015 06:51:30 GMT",
"version": "v2"
}
] | 2015-06-01 | [
[
"Flachi",
"Antonino",
""
],
[
"Fukushima",
"Kenji",
""
]
] | We discuss a new type of QCD phenomenon induced in curved space. In the QCD vacuum, a mass-gap of Dirac fermions is attributed to the spontaneous breaking of chiral symmetry. If the curvature is positive large, the chiral condensate melts but a chiral invariant mass-gap can still remain, which we name the chiral gap effect in curved space. This leads to decoupling of quark deconfinement which implies a view of black holes surrounded by a first-order QCD phase transition. |
1811.07538 | Pichai Ramadevi | Saswati Dhara, Romesh K. Kaul, P. Ramadevi and Vivek Kumar Singh | Bi-partite vertex model and multi-colored link invariants | 18 pages, 2 figures, typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Construction of representations of braid group generators from $N$-state
vertex models provide an elegant route to study knot and link invariants. Using
such a braid group representation, an algebraic formula for the link invariants
was put forth when the same spin $(N-1)/2$ are placed on all the component
knots. In this paper, we generalise the procedure to deduce representations of
braiding generators from bi-partite vertex models. Such a representation allows
the study of multi-colored link invariants where the component knots carry
different spins. We propose a multi-colored link invariant formula in terms of
braiding generators derived from $R$ matrices of bi-partite vertex models.
| [
{
"created": "Mon, 19 Nov 2018 07:56:16 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jan 2019 07:22:46 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jan 2019 11:30:15 GMT",
"version": "v3"
}
] | 2019-01-11 | [
[
"Dhara",
"Saswati",
""
],
[
"Kaul",
"Romesh K.",
""
],
[
"Ramadevi",
"P.",
""
],
[
"Singh",
"Vivek Kumar",
""
]
] | Construction of representations of braid group generators from $N$-state vertex models provide an elegant route to study knot and link invariants. Using such a braid group representation, an algebraic formula for the link invariants was put forth when the same spin $(N-1)/2$ are placed on all the component knots. In this paper, we generalise the procedure to deduce representations of braiding generators from bi-partite vertex models. Such a representation allows the study of multi-colored link invariants where the component knots carry different spins. We propose a multi-colored link invariant formula in terms of braiding generators derived from $R$ matrices of bi-partite vertex models. |
hep-th/9512221 | Francois Delduc | F. Delduc, M. Magro | $N=2$ chiral WZNW model in superspace | 21 pages | Int.J.Mod.Phys. A11 (1996) 4815-4836 | 10.1142/S0217751X96002212 | ENSLAPP-L-560 | hep-th | null | We study the Poisson bracket algebra of the $N=2$ supersymmetric chiral WZNW
model in superspace. It involves two classical r-matrices, one of which comes
from the geometrical constraints implied by $N=2$ supersymmetry. The phase
space itself consists of superfields satisfying constraints involving this
r-matrix. An attempt is made to relax these constraints. The symmetries of the
model are investigated.
| [
{
"created": "Fri, 29 Dec 1995 17:10:25 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Delduc",
"F.",
""
],
[
"Magro",
"M.",
""
]
] | We study the Poisson bracket algebra of the $N=2$ supersymmetric chiral WZNW model in superspace. It involves two classical r-matrices, one of which comes from the geometrical constraints implied by $N=2$ supersymmetry. The phase space itself consists of superfields satisfying constraints involving this r-matrix. An attempt is made to relax these constraints. The symmetries of the model are investigated. |
0705.2564 | Frederik Denef | Frederik Denef, Gregory W. Moore | How many black holes fit on the head of a pin? | 4 pages, fourth prize in the Gravity Research Foundation Essay
competition 2007 | Int.J.Mod.Phys.D17:679-684,2008; Gen.Rel.Grav.39:1539-1544,2007 | 10.1007/s10714-007-0469-4 10.1142/S0218271808012437 | null | hep-th | null | The Bekenstein-Hawking entropy of certain black holes can be computed
microscopically in string theory by mapping the elusive problem of counting
microstates of a strongly gravitating black hole to the tractable problem of
counting microstates of a weakly coupled D-brane system, which has no event
horizon, and indeed comfortably fits on the head of a pin. We show here that,
contrary to widely held beliefs, the entropy of spherically symmetric black
holes can easily be dwarfed by that of stationary multi-black-hole
``molecules'' of the same total charge and energy. Thus, the corresponding
pin-sized D-brane systems do not even approximately count the microstates of a
single black hole, but rather those of a zoo of entropically dominant
multicentered configurations.
| [
{
"created": "Thu, 17 May 2007 17:06:14 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Denef",
"Frederik",
""
],
[
"Moore",
"Gregory W.",
""
]
] | The Bekenstein-Hawking entropy of certain black holes can be computed microscopically in string theory by mapping the elusive problem of counting microstates of a strongly gravitating black hole to the tractable problem of counting microstates of a weakly coupled D-brane system, which has no event horizon, and indeed comfortably fits on the head of a pin. We show here that, contrary to widely held beliefs, the entropy of spherically symmetric black holes can easily be dwarfed by that of stationary multi-black-hole ``molecules'' of the same total charge and energy. Thus, the corresponding pin-sized D-brane systems do not even approximately count the microstates of a single black hole, but rather those of a zoo of entropically dominant multicentered configurations. |
0802.0322 | David Kubiznak | Valeri P. Frolov, David Kubiznak | Higher-Dimensional Black Holes: Hidden Symmetries and Separation of
Variables | 33 pages, no figures, updated references and corrected typos | Class.Quant.Grav.25:154005,2008 | 10.1088/0264-9381/25/15/154005 | Alberta-Thy-02-08 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we discuss hidden symmetries in rotating black hole
spacetimes. We start with an extended introduction which mainly summarizes
results on hidden symmetries in four dimensions and introduces Killing and
Killing-Yano tensors, objects responsible for hidden symmetries. We also
demonstrate how starting with a principal CKY tensor (that is a closed
non-degenerate conformal Killing-Yano 2-form) in 4D flat spacetime one can
"generate" 4D Kerr-NUT-(A)dS solution and its hidden symmetries. After this we
consider higher-dimensional Kerr-NUT-(A)dS metrics and demonstrate that they
possess a principal CKY tensor which allows one to generate the whole tower of
Killing-Yano and Killing tensors. These symmetries imply complete integrability
of geodesic equations and complete separation of variables for the
Hamilton-Jacobi, Klein-Gordon, and Dirac equations in the general
Kerr-NUT-(A)dS metrics.
| [
{
"created": "Mon, 4 Feb 2008 01:54:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2008 01:56:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Frolov",
"Valeri P.",
""
],
[
"Kubiznak",
"David",
""
]
] | In this paper, we discuss hidden symmetries in rotating black hole spacetimes. We start with an extended introduction which mainly summarizes results on hidden symmetries in four dimensions and introduces Killing and Killing-Yano tensors, objects responsible for hidden symmetries. We also demonstrate how starting with a principal CKY tensor (that is a closed non-degenerate conformal Killing-Yano 2-form) in 4D flat spacetime one can "generate" 4D Kerr-NUT-(A)dS solution and its hidden symmetries. After this we consider higher-dimensional Kerr-NUT-(A)dS metrics and demonstrate that they possess a principal CKY tensor which allows one to generate the whole tower of Killing-Yano and Killing tensors. These symmetries imply complete integrability of geodesic equations and complete separation of variables for the Hamilton-Jacobi, Klein-Gordon, and Dirac equations in the general Kerr-NUT-(A)dS metrics. |
hep-th/0112128 | Patrick Peter | Jerome Martin, Patrick Peter, Nelson Pinto Neto, Dominik J. Schwarz | Passing through the bounce in the ekpyrotic models | 17 pages, ReVTeX 4, 13 figures, minor corrections, conclusions
unchanged | Phys.Rev. D65 (2002) 123513 | 10.1103/PhysRevD.65.123513 | null | hep-th astro-ph gr-qc hep-ph | null | By considering a simplified but exact model for realizing the ekpyrotic
scenario, we clarify various assumptions that have been used in the literature.
In particular, we discuss the new ekpyrotic prescription for passing the
perturbations through the singularity which we show to provide a spectrum
depending on a non physical normalization function. We also show that this
prescription does not reproduce the exact result for a sharp transition. Then,
more generally, we demonstrate that, in the only case where a bounce can be
obtained in Einstein General Relativity without facing singularities and/or
violation of the standard energy conditions, the bounce cannot be made
arbitrarily short. This contrasts with the standard (inflationary) situation
where the transition between two eras with different values of the equation of
state can be considered as instantaneous. We then argue that the usually
conserved quantities are not constant on a typical bounce time scale. Finally,
we also examine the case of a test scalar field (or gravitational waves) where
similar results are obtained. We conclude that the full dynamical equations of
the underlying theory should be solved in a non singular case before any
conclusion can be drawn.
| [
{
"created": "Fri, 14 Dec 2001 18:59:40 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Dec 2001 09:08:23 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Martin",
"Jerome",
""
],
[
"Peter",
"Patrick",
""
],
[
"Neto",
"Nelson Pinto",
""
],
[
"Schwarz",
"Dominik J.",
""
]
] | By considering a simplified but exact model for realizing the ekpyrotic scenario, we clarify various assumptions that have been used in the literature. In particular, we discuss the new ekpyrotic prescription for passing the perturbations through the singularity which we show to provide a spectrum depending on a non physical normalization function. We also show that this prescription does not reproduce the exact result for a sharp transition. Then, more generally, we demonstrate that, in the only case where a bounce can be obtained in Einstein General Relativity without facing singularities and/or violation of the standard energy conditions, the bounce cannot be made arbitrarily short. This contrasts with the standard (inflationary) situation where the transition between two eras with different values of the equation of state can be considered as instantaneous. We then argue that the usually conserved quantities are not constant on a typical bounce time scale. Finally, we also examine the case of a test scalar field (or gravitational waves) where similar results are obtained. We conclude that the full dynamical equations of the underlying theory should be solved in a non singular case before any conclusion can be drawn. |
2005.08855 | Ovidiu Cristinel Stoica | Ovidiu Cristinel Stoica | Chiral asymmetry in the weak interaction via Clifford Algebras | 7 pages | SFIN XXXIII, p. 297-210 (2020) | null | null | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Despite its tremendous success, the Standard Model of particle physics does
not explain why the weak interaction breaks chiral symmetry. Various unified
theories got us closer to an answer, but too often the explanation consists of
labeling the $\operatorname{SU}(2)_w$ singlet representations as right-handed,
and the doublet ones as left handed. This by itself does not ensure a chiral
preference, because chirality itself, arising in the Dirac spinors, is not a
property of the internal gauge group representations. Something deeper than
mere labeling is required. In this paper, some of the progress using exterior
and Clifford algebras is reviewed, and a possible explanation for chiral
asymmetry is presented. It is shown how such a solution is present, rather
implicitly, in a model proposed in a previous article.
| [
{
"created": "Mon, 18 May 2020 16:30:00 GMT",
"version": "v1"
}
] | 2020-05-19 | [
[
"Stoica",
"Ovidiu Cristinel",
""
]
] | Despite its tremendous success, the Standard Model of particle physics does not explain why the weak interaction breaks chiral symmetry. Various unified theories got us closer to an answer, but too often the explanation consists of labeling the $\operatorname{SU}(2)_w$ singlet representations as right-handed, and the doublet ones as left handed. This by itself does not ensure a chiral preference, because chirality itself, arising in the Dirac spinors, is not a property of the internal gauge group representations. Something deeper than mere labeling is required. In this paper, some of the progress using exterior and Clifford algebras is reviewed, and a possible explanation for chiral asymmetry is presented. It is shown how such a solution is present, rather implicitly, in a model proposed in a previous article. |
hep-th/9801080 | Alexander Sevrin | M.T. Grisaru, M. Massar, A. Sevrin, J. Troost | Some Aspects of N=(2,2), D=2 Supersymmetry | 6 pages, Latex, to appear in the proceedings of `Quantum aspects of
gauge theories, supersymmetry and unification', Neuchatel University, 18-23
September 1997 | Fortsch.Phys.47:301-307,1999 | 10.1002/(SICI)1521-3978(199901)47:1/3<301::AID-PROP301>3.0.CO;2-F | BRX-TH-423, VUB/TENA/98/1 | hep-th | null | The off-shell description of N=(2,2) supersymmetric non-linear sigma-models
is reviewed. The conditions for ultra-violet finiteness are derived and
T-duality is discussed in detail.
| [
{
"created": "Tue, 13 Jan 1998 12:52:40 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Grisaru",
"M. T.",
""
],
[
"Massar",
"M.",
""
],
[
"Sevrin",
"A.",
""
],
[
"Troost",
"J.",
""
]
] | The off-shell description of N=(2,2) supersymmetric non-linear sigma-models is reviewed. The conditions for ultra-violet finiteness are derived and T-duality is discussed in detail. |
hep-th/0606198 | Nicolas Boulanger | Xavier Bekaert and Nicolas Boulanger | Tensor gauge fields in arbitrary representations of GL(D,R): II.
Quadratic actions | LaTeX, 53 pages, no figure. Accepted for publication in
Communications in Mathematical Physics. Local Fierz-Pauli programme achieved
by completing the analysis of Labastida | Commun.Math.Phys.271:723-773,2007 | 10.1007/s00220-006-0187-x | null | hep-th | null | Quadratic, second-order, non-local actions for tensor gauge fields
transforming in arbitrary irreducible representations of the general linear
group in D-dimensional Minkowski space are explicitly written in a compact form
by making use of Levi-Civita tensors. The field equations derived from these
actions ensure the propagation of the correct massless physical degrees of
freedom and are shown to be equivalent to non-Lagrangian local field equations
proposed previously. Moreover, these actions allow a frame-like reformulation a
la MacDowell-Mansouri, without any trace constraint in the tangent indices.
| [
{
"created": "Tue, 20 Jun 2006 17:25:24 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2006 20:59:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bekaert",
"Xavier",
""
],
[
"Boulanger",
"Nicolas",
""
]
] | Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulation a la MacDowell-Mansouri, without any trace constraint in the tangent indices. |
hep-th/0109102 | Sachindeo Vaidya | Sachindeo Vaidya | Scalar Multi-Solitons on the Fuzzy Sphere | 13 pages LaTex, 5 figures. Typos corrected, some remarks added | JHEP 0201 (2002) 011 | 10.1088/1126-6708/2002/01/011 | UCD-2001-06 | hep-th | null | We study solitons in scalar theories with polynomial interactions on the
fuzzy sphere. Such solitons are described by projection operators of rank k,
and hence the moduli space for the solitons is the Grassmannian Gr(k,2j+1). The
gradient term of the action provides a non-trivial potential on Gr(k,2j+1),
thus reducing the moduli space. We construct configurations corresponding to
well-separated solitons, and show that although the solitons attract each
other, the attraction vanishes in the limit of large j. In this limit, it is
argued that the moduli space is CP^k. For the k-soliton bound state, the moduli
space is simply CP^1, all other moduli being lifted. We find that the moduli
space of multi-solitons is smooth and that there are no singularities as
several solitons coalesce. When the fuzzy S^2 is flattened to a noncommutative
plane, we find agreement with the known results, modulo some operator-ordering
ambiguities. This suggests that the fuzzy sphere is a natural way to regulate
the noncommutative plane both in the ultraviolet and infrared.
| [
{
"created": "Thu, 13 Sep 2001 01:42:32 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2001 22:36:29 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Vaidya",
"Sachindeo",
""
]
] | We study solitons in scalar theories with polynomial interactions on the fuzzy sphere. Such solitons are described by projection operators of rank k, and hence the moduli space for the solitons is the Grassmannian Gr(k,2j+1). The gradient term of the action provides a non-trivial potential on Gr(k,2j+1), thus reducing the moduli space. We construct configurations corresponding to well-separated solitons, and show that although the solitons attract each other, the attraction vanishes in the limit of large j. In this limit, it is argued that the moduli space is CP^k. For the k-soliton bound state, the moduli space is simply CP^1, all other moduli being lifted. We find that the moduli space of multi-solitons is smooth and that there are no singularities as several solitons coalesce. When the fuzzy S^2 is flattened to a noncommutative plane, we find agreement with the known results, modulo some operator-ordering ambiguities. This suggests that the fuzzy sphere is a natural way to regulate the noncommutative plane both in the ultraviolet and infrared. |
1412.7538 | Yasunori Nomura | Yasunori Nomura, Fabio Sanches, and Sean J. Weinberg | Relativeness in Quantum Gravity: Limitations and Frame Dependence of
Semiclassical Descriptions | 44 pages, 4 figures; typos corrected | null | 10.1007/JHEP04(2015)158 | UCB-PTH-14/41 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Consistency between quantum mechanical and general relativistic views of the
world is a longstanding problem, which becomes particularly prominent in black
hole physics. We develop a coherent picture addressing this issue by studying
the quantum mechanics of an evolving black hole. After interpreting the
Bekenstein-Hawking entropy as the entropy representing the degrees of freedom
that are coarse-grained to obtain a semiclassical description from the
microscopic theory of quantum gravity, we discuss the properties these degrees
of freedom exhibit when viewed from the semiclassical standpoint. We are led to
the conclusion that they show features which we call extreme relativeness and
spacetime-matter duality---a nontrivial reference frame dependence of their
spacetime distribution and the dual roles they play as the "constituents" of
spacetime and as thermal radiation. We describe black hole formation and
evaporation processes in distant and infalling reference frames, showing that
these two properties allow us to avoid the arguments for firewalls and to make
the existence of the black hole interior consistent with unitary evolution in
the sense of complementarity. Our analysis provides a concrete answer to how
information can be preserved at the quantum level throughout the evolution of a
black hole, and gives a basic picture of how general coordinate transformations
may work at the level of full quantum gravity beyond the approximation of
semiclassical theory.
| [
{
"created": "Tue, 23 Dec 2014 21:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2015 07:31:41 GMT",
"version": "v2"
}
] | 2015-07-06 | [
[
"Nomura",
"Yasunori",
""
],
[
"Sanches",
"Fabio",
""
],
[
"Weinberg",
"Sean J.",
""
]
] | Consistency between quantum mechanical and general relativistic views of the world is a longstanding problem, which becomes particularly prominent in black hole physics. We develop a coherent picture addressing this issue by studying the quantum mechanics of an evolving black hole. After interpreting the Bekenstein-Hawking entropy as the entropy representing the degrees of freedom that are coarse-grained to obtain a semiclassical description from the microscopic theory of quantum gravity, we discuss the properties these degrees of freedom exhibit when viewed from the semiclassical standpoint. We are led to the conclusion that they show features which we call extreme relativeness and spacetime-matter duality---a nontrivial reference frame dependence of their spacetime distribution and the dual roles they play as the "constituents" of spacetime and as thermal radiation. We describe black hole formation and evaporation processes in distant and infalling reference frames, showing that these two properties allow us to avoid the arguments for firewalls and to make the existence of the black hole interior consistent with unitary evolution in the sense of complementarity. Our analysis provides a concrete answer to how information can be preserved at the quantum level throughout the evolution of a black hole, and gives a basic picture of how general coordinate transformations may work at the level of full quantum gravity beyond the approximation of semiclassical theory. |
hep-th/0503174 | Andjelo Samsarov | S. Meljanac and A. Samsarov | Universal properties of conformal quantum many-body systems | 9 pages, no figures, LaTex, the formula (23) is changed into the
correct form without affecting the final result | Phys.Lett.B613:221-225,2005; Erratum-ibid.B620:200,2005 | 10.1016/j.physletb.2005.03.044 10.1016/j.physletb.2005.06.049 | null | hep-th quant-ph | null | Universal properties of many-body systems in conformal quantum mechanics in
arbitrary dimensions are presented. Specially, a general structure of discrete
energy spectra and eigenstates is found. Finally, a simple construction of a
universal time operator conjugated to a conformal Hermitian or a $ PT-$
invariant Hamiltonian is proposed.
| [
{
"created": "Wed, 23 Mar 2005 14:34:31 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Aug 2005 15:18:35 GMT",
"version": "v2"
}
] | 2010-11-05 | [
[
"Meljanac",
"S.",
""
],
[
"Samsarov",
"A.",
""
]
] | Universal properties of many-body systems in conformal quantum mechanics in arbitrary dimensions are presented. Specially, a general structure of discrete energy spectra and eigenstates is found. Finally, a simple construction of a universal time operator conjugated to a conformal Hermitian or a $ PT-$ invariant Hamiltonian is proposed. |
hep-th/0004064 | null | Dan N. Vollick | Negative Energies on the Brane | 6 pages, LaTex | Gen.Rel.Grav. 34 (2002) 1-7 | null | null | hep-th gr-qc | null | It has recently been proposed that our universe is a three-brane embedded in
a higher dimensional spacetime. Here I show that black holes on the brane,
black strings intersecting the brane, and gravitational waves propagating in
the bulk induce an effective energy-momentum tensor on the brane that contains
negative energy densities.
| [
{
"created": "Mon, 10 Apr 2000 18:50:37 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2000 01:54:50 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Vollick",
"Dan N.",
""
]
] | It has recently been proposed that our universe is a three-brane embedded in a higher dimensional spacetime. Here I show that black holes on the brane, black strings intersecting the brane, and gravitational waves propagating in the bulk induce an effective energy-momentum tensor on the brane that contains negative energy densities. |
hep-th/9604039 | Lawrence Horwitz | L. Burakovsky, L.P. Horwitz and W.C. Schieve | A New Relativistic High Temperature Bose-Einstein Condensation | Latex, 22 pages | Phys.Rev.D54:4029-4038,1996 | 10.1103/PhysRevD.54.4029 | IASSNS-96/32 | hep-th | null | We discuss the properties of an ideal relativistic gas of events possessing
Bose-Einstein statistics. We find that the mass spectrum of such a system is
bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical
potential, $M$ is an intrinsic dimensional scale parameter for the motion of an
event in space-time, and $\mu _K$ is an additional mass potential of the
ensemble. For the system including both particles and antiparticles, with
nonzero chemical potential $\mu ,$ the mass spectrum is shown to be bounded by
$|\mu |\leq m\leq 2M/\mu _K,$ and a special type of high-temperature
Bose-Einstein condensation can occur. We study this Bose-Einstein condensation,
and show that it corresponds to a phase transition from the sector of
continuous relativistic mass distributions to a sector in which the boson mass
distribution becomes sharp at a definite mass $M/\mu _K.$ This phenomenon
provides a mechanism for the mass distribution of the particles to be sharp at
some definite value.
| [
{
"created": "Mon, 8 Apr 1996 16:02:07 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Burakovsky",
"L.",
""
],
[
"Horwitz",
"L. P.",
""
],
[
"Schieve",
"W. C.",
""
]
] | We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical potential, $M$ is an intrinsic dimensional scale parameter for the motion of an event in space-time, and $\mu _K$ is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with nonzero chemical potential $\mu ,$ the mass spectrum is shown to be bounded by $|\mu |\leq m\leq 2M/\mu _K,$ and a special type of high-temperature Bose-Einstein condensation can occur. We study this Bose-Einstein condensation, and show that it corresponds to a phase transition from the sector of continuous relativistic mass distributions to a sector in which the boson mass distribution becomes sharp at a definite mass $M/\mu _K.$ This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value. |
hep-th/9411067 | J. vandeLeur | Johan Van De Leur | The $n$--TH Reduced BKP Hierarchy, the String Equation and
$BW_{1+\infty}$--Constraints | 15 pages of (plain)tex, no figures | null | null | null | hep-th | null | We study the BKP hierarchy and its $n$--reduction, for the case that $n$ is
odd. This is related to the principal realization of the basic module of the
twisted affine Lie algebra $\hat{sl}_n^{(2)}$. We show that the following two
statements for a BKP $\tau$ function are equivalent: (1) $\tau$ is is
$n$--reduced and satisfies the string equation, i.e. $L_{-1}\tau=0$, where
$L_{-1}$ is an element of some `natural' Virasoro algebra. (2) $\tau$ satisfies
the vacuum constraints of the $BW_{1+\infty}$ algebra. Here $BW_{1+\infty}$ is
the natural analog of the $W_{1+\infty}$ algebra, which plays a role in the KP
case.
| [
{
"created": "Thu, 10 Nov 1994 09:13:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Van De Leur",
"Johan",
""
]
] | We study the BKP hierarchy and its $n$--reduction, for the case that $n$ is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra $\hat{sl}_n^{(2)}$. We show that the following two statements for a BKP $\tau$ function are equivalent: (1) $\tau$ is is $n$--reduced and satisfies the string equation, i.e. $L_{-1}\tau=0$, where $L_{-1}$ is an element of some `natural' Virasoro algebra. (2) $\tau$ satisfies the vacuum constraints of the $BW_{1+\infty}$ algebra. Here $BW_{1+\infty}$ is the natural analog of the $W_{1+\infty}$ algebra, which plays a role in the KP case. |
hep-th/0407227 | Giovanni Amelino-Camelia | Alessandra Agostini, Giovanni Amelino-Camelia, Michele Arzano,
Francesco D'Andrea | Action functional for kappa-Minkowski Noncommutative Spacetime | 17 pages, LaTex | null | null | null | hep-th | null | We examine some alternative possibilities for an action functional for
$\kappa$-Minkowski noncommutative spacetime, with an approach which should be
applicable to other spacetimes with coordinate-dependent commutators of the
spacetime coordinates ($[x_\mu,x_\nu]=f_{\mu,\nu}(x)$). Early works on
$\kappa$-Minkowski focused on $\kappa$-Poincar\'e covariance and the dependence
of the action functional on the choice of Weyl map, renouncing to invariance
under cyclic permutations of the factors composing the argument of the action
functional. A recent paper (hep-th/0307149), by Dimitrijevic, Jonke, Moller,
Tsouchnika, Wess and Wohlgenannt, focused on a specific choice of Weyl map and,
setting aside the issue of $\kappa$-Poincar\'e covariance of the action
functional, introduced in implicit form a cyclicity-inducing measure. We
provide an explicit formula for (and derivation of) a choice of measure which
indeed ensures cyclicity of the action functional, and we show that the same
choice of measure is applicable to all the most used choices of Weyl map. We
find that this ``cyclicity-inducing measure'' is not covariant under
$\kappa$-Poincar\'e transformations. We also notice that the cyclicity-inducing
measure can be straightforwardly derived using a map which connects the
$\kappa$-Minkowski spacetime coordinates and the spacetime coordinates of a
``canonical'' noncommutative spacetime, with coordinate-independent
commutators.
| [
{
"created": "Tue, 27 Jul 2004 09:25:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Agostini",
"Alessandra",
""
],
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Arzano",
"Michele",
""
],
[
"D'Andrea",
"Francesco",
""
]
] | We examine some alternative possibilities for an action functional for $\kappa$-Minkowski noncommutative spacetime, with an approach which should be applicable to other spacetimes with coordinate-dependent commutators of the spacetime coordinates ($[x_\mu,x_\nu]=f_{\mu,\nu}(x)$). Early works on $\kappa$-Minkowski focused on $\kappa$-Poincar\'e covariance and the dependence of the action functional on the choice of Weyl map, renouncing to invariance under cyclic permutations of the factors composing the argument of the action functional. A recent paper (hep-th/0307149), by Dimitrijevic, Jonke, Moller, Tsouchnika, Wess and Wohlgenannt, focused on a specific choice of Weyl map and, setting aside the issue of $\kappa$-Poincar\'e covariance of the action functional, introduced in implicit form a cyclicity-inducing measure. We provide an explicit formula for (and derivation of) a choice of measure which indeed ensures cyclicity of the action functional, and we show that the same choice of measure is applicable to all the most used choices of Weyl map. We find that this ``cyclicity-inducing measure'' is not covariant under $\kappa$-Poincar\'e transformations. We also notice that the cyclicity-inducing measure can be straightforwardly derived using a map which connects the $\kappa$-Minkowski spacetime coordinates and the spacetime coordinates of a ``canonical'' noncommutative spacetime, with coordinate-independent commutators. |
2006.11725 | Roberto Casalbuoni Prof | Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis | A particle model with extra dimensions from Coadjoint Poincare' Symmetry | 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the coadjoint Poincar\'e algebra we construct a point particle
relativistic model with an interpretation in terms of extra-dimensional
variables. The starting coadjoint Poincar\'e algebra is able to induce a
mechanism of dimensional reduction between the usual coordinates of the
Minkowski space and the extra-dimensional variables which turn out to form an
antisymmetric tensor under the Lorentz group.
Analysing the dynamics of this model, we find that, in a particular limit, it
is possible to integrate out the extra variables and determine their effect on
the dynamics of the material point in the usual space time.
The model describes a particle
in $D$ dimensions subject to a harmonic motion when one of the parameters of
the model is negative.
The result can be interpreted as a modification to the flat Minkowski metric
with non trivial Riemann, Ricci tensors and scalar curvature
| [
{
"created": "Sun, 21 Jun 2020 06:54:33 GMT",
"version": "v1"
}
] | 2020-06-23 | [
[
"Barducci",
"Andrea",
""
],
[
"Casalbuoni",
"Roberto",
""
],
[
"Gomis",
"Joaquim",
""
]
] | Starting from the coadjoint Poincar\'e algebra we construct a point particle relativistic model with an interpretation in terms of extra-dimensional variables. The starting coadjoint Poincar\'e algebra is able to induce a mechanism of dimensional reduction between the usual coordinates of the Minkowski space and the extra-dimensional variables which turn out to form an antisymmetric tensor under the Lorentz group. Analysing the dynamics of this model, we find that, in a particular limit, it is possible to integrate out the extra variables and determine their effect on the dynamics of the material point in the usual space time. The model describes a particle in $D$ dimensions subject to a harmonic motion when one of the parameters of the model is negative. The result can be interpreted as a modification to the flat Minkowski metric with non trivial Riemann, Ricci tensors and scalar curvature |
1109.4336 | Loriano Bonora | L. Bonora, S. Giaccari, D. D. Tolla | Lump solutions in SFT. Complements | 38 pages, expanded version, Table 3 corrected, App.B suppressed,
sec.8 added | null | null | SISSA/53/2011/EP | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently a possible violation of the equation of motion for the recently
proposed lump solutions in open SFT has been pointed out in the literature. In
this paper we argue that, when the issue is considered in the appropriate
mathematical setting of distribution theory, no violations to the equation of
motion occur.
| [
{
"created": "Tue, 20 Sep 2011 15:58:09 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2012 12:27:07 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Mar 2012 12:44:35 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Mar 2012 14:23:23 GMT",
"version": "v4"
},
{
"created": "Fri, 18 May 2012 14:17:34 GMT",
"version": "v5"
}
] | 2012-05-21 | [
[
"Bonora",
"L.",
""
],
[
"Giaccari",
"S.",
""
],
[
"Tolla",
"D. D.",
""
]
] | Recently a possible violation of the equation of motion for the recently proposed lump solutions in open SFT has been pointed out in the literature. In this paper we argue that, when the issue is considered in the appropriate mathematical setting of distribution theory, no violations to the equation of motion occur. |
1912.09754 | Nicolas Kovensky | Sergio Iguri, Nicolas Kovensky, Leila Maestri, Lucas Mart\'in | Winding modes and the reflection symmetry in AdS$_3$ | 23 pages, reference added, conclusions slightly improved, version
published in JHEP | J. High Energ. Phys. 2020, 109 (2020) | 10.1007/JHEP07(2020)109 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the contact term of the two-point function for the SL($2,\mathbb
R$)-WZNW model in the winding sector. After reviewing some generalities of the
model and its Euclidean counterpart, we discuss the reflection symmetry for the
spectral flowed sector. We define the corresponding intertwining operator and
use it to find the explicit form of the contact term of the propagator for a
vertex carrying an arbitrary amount of spectral flow. Finally, we enhance the
already known integral expression of a singly flowed vertex in order to
reproduce such contact term directly in the space-time picture.
| [
{
"created": "Fri, 20 Dec 2019 11:03:12 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2020 08:53:17 GMT",
"version": "v2"
}
] | 2020-08-05 | [
[
"Iguri",
"Sergio",
""
],
[
"Kovensky",
"Nicolas",
""
],
[
"Maestri",
"Leila",
""
],
[
"Martín",
"Lucas",
""
]
] | We compute the contact term of the two-point function for the SL($2,\mathbb R$)-WZNW model in the winding sector. After reviewing some generalities of the model and its Euclidean counterpart, we discuss the reflection symmetry for the spectral flowed sector. We define the corresponding intertwining operator and use it to find the explicit form of the contact term of the propagator for a vertex carrying an arbitrary amount of spectral flow. Finally, we enhance the already known integral expression of a singly flowed vertex in order to reproduce such contact term directly in the space-time picture. |
hep-th/9809176 | Mariusz Dabrowski | Mariusz P. Dabrowski and Alexander A. Zheltukhin | Perturbative String Dynamics Near the Photon Sphere | REVTEX, 8 pages, no figures | null | null | null | hep-th astro-ph gr-qc | null | String dynamics near the photon sphere in Schwarzschild spacetime is
considered on the basis of a perturbative approach with respect to a rescaled
string tension as a small parameter. The perturbative string solution in the
zeroth and first approximation is presented. The perturbative solution
corresponds to a small deformations of the photon sphere in Schwarzschild
spacetime.
| [
{
"created": "Thu, 24 Sep 1998 15:21:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dabrowski",
"Mariusz P.",
""
],
[
"Zheltukhin",
"Alexander A.",
""
]
] | String dynamics near the photon sphere in Schwarzschild spacetime is considered on the basis of a perturbative approach with respect to a rescaled string tension as a small parameter. The perturbative string solution in the zeroth and first approximation is presented. The perturbative solution corresponds to a small deformations of the photon sphere in Schwarzschild spacetime. |
hep-th/9612165 | Hiroshi Suzuki | Hiroshi Suzuki and Hirofumi Yasuta (Ibaraki University) | Observing Quantum Tunneling in Perturbation Series | 12 pages, 2 figures. Phyzzx, Tables.tex, The final version to appear
in Phys. Lett. B | Phys.Lett. B400 (1997) 341-345 | 10.1016/S0370-2693(97)00368-7 | IU-MSTP/17 | hep-th hep-ph quant-ph | null | We apply Borel resummation method to the conventional perturbation series of
ground state energy in a metastable potential, $V(x)=x^2/2-gx^4/4$. We observe
numerically that the discontinuity of Borel transform reproduces the imaginary
part of energy eigenvalue, i.e., total decay width due to the quantum
tunneling. The agreement with the exact numerical value is remarkable in the
whole tunneling regime $0<g\lsim0.7$.
| [
{
"created": "Mon, 16 Dec 1996 04:23:05 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 1997 09:37:09 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Mar 1997 01:50:52 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Suzuki",
"Hiroshi",
"",
"Ibaraki University"
],
[
"Yasuta",
"Hirofumi",
"",
"Ibaraki University"
]
] | We apply Borel resummation method to the conventional perturbation series of ground state energy in a metastable potential, $V(x)=x^2/2-gx^4/4$. We observe numerically that the discontinuity of Borel transform reproduces the imaginary part of energy eigenvalue, i.e., total decay width due to the quantum tunneling. The agreement with the exact numerical value is remarkable in the whole tunneling regime $0<g\lsim0.7$. |
1806.07444 | William Donnelly | William Donnelly and Vasudev Shyam | Entanglement entropy and $T \overline{T}$ deformation | 12 pages, 3 figures | Phys. Rev. Lett. 121, 131602 (2018) | 10.1103/PhysRevLett.121.131602 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum gravity in a finite region of spacetime is conjectured to be dual to
a conformal field theory deformed by the irrelevant operator $T \overline{T}$.
We test this conjecture with entanglement entropy, which is sensitive to
ultraviolet physics on the boundary while also probing the bulk geometry. We
find that the entanglement entropy for an entangling surface consisting of two
antipodal points on a sphere is finite and precisely matches the Ryu-Takayanagi
formula applied to a finite region consistent with the conjecture of McGough,
Mezei and Verlinde. We also consider a one-parameter family of conical
entropies, which are finite and verify a conjecture due to Dong. Since
ultraviolet divergences are local, we conclude that the $T \overline{T}$
deformation acts as an ultraviolet cutoff on the entanglement entropy. Our
results support the conjecture that the $T \overline{T}$-deformed CFT is the
holographic dual of a finite region of spacetime.
| [
{
"created": "Tue, 19 Jun 2018 19:47:12 GMT",
"version": "v1"
}
] | 2018-10-03 | [
[
"Donnelly",
"William",
""
],
[
"Shyam",
"Vasudev",
""
]
] | Quantum gravity in a finite region of spacetime is conjectured to be dual to a conformal field theory deformed by the irrelevant operator $T \overline{T}$. We test this conjecture with entanglement entropy, which is sensitive to ultraviolet physics on the boundary while also probing the bulk geometry. We find that the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere is finite and precisely matches the Ryu-Takayanagi formula applied to a finite region consistent with the conjecture of McGough, Mezei and Verlinde. We also consider a one-parameter family of conical entropies, which are finite and verify a conjecture due to Dong. Since ultraviolet divergences are local, we conclude that the $T \overline{T}$ deformation acts as an ultraviolet cutoff on the entanglement entropy. Our results support the conjecture that the $T \overline{T}$-deformed CFT is the holographic dual of a finite region of spacetime. |
hep-th/9703225 | Marcelo R. Ubriaco | Marcelo R. Ubriaco | Anyonic behavior of quantum group fermionic and bosonic systems | LaTeX file, 14 pages, two figures ,uses epsf.sty. Talk given at
International Conf. on Orbis Scientae 1997, 1/23-1/26, Miami, Florida. To
appear in the Proceedings. | null | null | null | hep-th | null | We discuss the role that quantum group symmetries, in particular $SU_q(2)$,
play in a thermodynamic system at high temperatures. We show that the
interactions introduced by the quantum group symmetries, are such that a
quantum group gas describe repulsive and attractive behavior in two and three
spatial dimensions.
| [
{
"created": "Mon, 31 Mar 1997 15:39:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ubriaco",
"Marcelo R.",
""
]
] | We discuss the role that quantum group symmetries, in particular $SU_q(2)$, play in a thermodynamic system at high temperatures. We show that the interactions introduced by the quantum group symmetries, are such that a quantum group gas describe repulsive and attractive behavior in two and three spatial dimensions. |
hep-th/9111027 | null | M.Caselle, G.Ponzano and F.Ravanini | Towards a Classification of Fusion Rule Algebras in Rational Conformal
Field Theories | 18pp [Talk given by one of us (F.R.) at the ``Research Conference on
Advanced Quantum Field Theory and Critical Phenomena'', Como (Italy), June
17-21, 1991] | Int.J.Mod.Phys.B6:2075-2090,1992 | 10.1142/S021797929200102X | null | hep-th | null | We review the main topics concerning Fusion Rule Algebras (FRA) of Rational
Conformal Field Theories. After an exposition of their general properties, we
examine known results on the complete classification for low number of fields
($\leq 4$). We then turn our attention to FRA's generated polynomially by one
(real) fundamental field, for which a classification is known. Attempting to
generalize this result, we describe some connections between FRA's and Graph
Theory. The possibility to get new results on the subject following this
``graph'' approach is briefly discussed.
| [
{
"created": "Fri, 15 Nov 1991 03:08:00 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Caselle",
"M.",
""
],
[
"Ponzano",
"G.",
""
],
[
"Ravanini",
"F.",
""
]
] | We review the main topics concerning Fusion Rule Algebras (FRA) of Rational Conformal Field Theories. After an exposition of their general properties, we examine known results on the complete classification for low number of fields ($\leq 4$). We then turn our attention to FRA's generated polynomially by one (real) fundamental field, for which a classification is known. Attempting to generalize this result, we describe some connections between FRA's and Graph Theory. The possibility to get new results on the subject following this ``graph'' approach is briefly discussed. |
hep-th/9802068 | Nikita Nekrasov | N. Nekrasov and A. Schwarz | Instantons on noncommutative R^4, and (2,0) superconformal six
dimensional theory | harvmac, 21 page; refs added, more details on Nahm's transform,
formulae for abelian instantons corrected | Commun.Math.Phys. 198 (1998) 689-703 | 10.1007/s002200050490 | ITEP-TH-9/98, HUTP- 98/A004, Davis-02/98 | hep-th | null | We show that the resolution of moduli space of ideal instantons parameterizes
the instantons on non-commutative $\IR^{4}$. This moduli space appears as a
Higgs branch of the theory of $k$ $D0$-branes bound to $N$ $D4$-branes by the
expectation value of the $B$ field. It also appears as a regularized version of
the target space of supersymmetric quantum mechanics arising in the light cone
description of $(2,0)$ superconformal theories in six dimensions.
| [
{
"created": "Wed, 11 Feb 1998 05:23:47 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 1998 04:40:03 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Mar 1998 04:41:04 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Nekrasov",
"N.",
""
],
[
"Schwarz",
"A.",
""
]
] | We show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative $\IR^{4}$. This moduli space appears as a Higgs branch of the theory of $k$ $D0$-branes bound to $N$ $D4$-branes by the expectation value of the $B$ field. It also appears as a regularized version of the target space of supersymmetric quantum mechanics arising in the light cone description of $(2,0)$ superconformal theories in six dimensions. |
hep-th/0304223 | Jorge Alfaro | J. Alfaro, H.A. Morales-T\'ecotl, M. Reyes and L.F. Urrutia | On Non-Abelian Holonomies | latex, 17 pages, 2 figures, shorter version | J.Phys.A36:12097-12107,2003 | 10.1088/0305-4470/36/48/012 | null | hep-th | null | We provide a method and the results for the calculation of the holonomy of a
Yang-Mills connection in an arbitrary triangular path, in an expansion
(developed here to fifth order) in powers of the corresponding segments. The
results might have applications in generalizing to Yang-Mills fields previous
calculations of the corrections to particle dynamics induced by loop quantum
gravity, as well as in the field of random lattices.
| [
{
"created": "Fri, 25 Apr 2003 21:01:08 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2003 21:23:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Alfaro",
"J.",
""
],
[
"Morales-Técotl",
"H. A.",
""
],
[
"Reyes",
"M.",
""
],
[
"Urrutia",
"L. F.",
""
]
] | We provide a method and the results for the calculation of the holonomy of a Yang-Mills connection in an arbitrary triangular path, in an expansion (developed here to fifth order) in powers of the corresponding segments. The results might have applications in generalizing to Yang-Mills fields previous calculations of the corrections to particle dynamics induced by loop quantum gravity, as well as in the field of random lattices. |
hep-th/9406186 | J. A. de Azcarraga | J. A. de Azc\'arraga and F. Rodenas (FTUV/IFIC/Valencia) | Differential calculus on q-Minkowski space | null | An. Fisica (Monogr.) 2 (1995) 107-130 | null | null | hep-th math.QA | null | We wish to report here on a recent approach to the non-commutative calculus
on $q$-Minkowski space which is based on the reflection equations with no
spectral parameter. These are considered as the expression of the invariance
(under the coaction of the $q$-Lorentz group) of the commutation properties
which define the different $q$-Minkowski algebras. This approach also allows us
to discuss the possible ambiguities in the definition of $q$-Minkowski space
${\cal M}_q$ and its differential calculus. The commutation relations among the
generators of ${\cal M}_q$ (coordinates), ${\cal D}_q$ (derivatives),
$\Lambda_q$ (one-forms) and a few invariant (scalar) operators are established
and compared with earlier results.
| [
{
"created": "Tue, 28 Jun 1994 19:00:00 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"de Azcárraga",
"J. A.",
"",
"FTUV/IFIC/Valencia"
],
[
"Rodenas",
"F.",
"",
"FTUV/IFIC/Valencia"
]
] | We wish to report here on a recent approach to the non-commutative calculus on $q$-Minkowski space which is based on the reflection equations with no spectral parameter. These are considered as the expression of the invariance (under the coaction of the $q$-Lorentz group) of the commutation properties which define the different $q$-Minkowski algebras. This approach also allows us to discuss the possible ambiguities in the definition of $q$-Minkowski space ${\cal M}_q$ and its differential calculus. The commutation relations among the generators of ${\cal M}_q$ (coordinates), ${\cal D}_q$ (derivatives), $\Lambda_q$ (one-forms) and a few invariant (scalar) operators are established and compared with earlier results. |
1001.4645 | Enore Guadagnini | Enore Guadagnini | Functional integration and abelian link invariants | 20 pages, 4 figures, Contribution to the Proceedings of the workshop
"Chern-Simons Gauge theory: 20 years after", Bonn, August 2009 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The functional integral computation of the various topological invariants,
which are associated with the Chern-Simons field theory, is considered. The
standard perturbative setting in quantum field theory is rewieved and new
developments in the path-integral approach, based on the Deligne-Beilinson
cohomology, are described in the case of the abelian U(1) Chern-Simons field
theory formulated in S^1 x S^2.
| [
{
"created": "Tue, 26 Jan 2010 10:46:21 GMT",
"version": "v1"
}
] | 2010-01-27 | [
[
"Guadagnini",
"Enore",
""
]
] | The functional integral computation of the various topological invariants, which are associated with the Chern-Simons field theory, is considered. The standard perturbative setting in quantum field theory is rewieved and new developments in the path-integral approach, based on the Deligne-Beilinson cohomology, are described in the case of the abelian U(1) Chern-Simons field theory formulated in S^1 x S^2. |
hep-th/9904188 | Konstadinos Sfetsos | Konstadinos Sfetsos | Duality-invariant class of two-dimensional field theories | 25 pages, latex; v2: 2 references added, final version to appear in
Nucl. Phys. B | Nucl.Phys. B561 (1999) 316-340 | 10.1016/S0550-3213(99)00485-X | CERN-TH/99-112 | hep-th | null | We construct a new class of two-dimensional field theories with target spaces
that are finite multiparameter deformations of the usual coset G/H-spaces. They
arise naturally, when certain models, related by Poisson-Lie T-duality, develop
a local gauge invariance at specific points of their classical moduli space. We
show that canonical equivalences in this context can be formulated in loop
space in terms of parafermionic-type algebras with a central extension. We find
that the corresponding generating functionals are non-polynomial in the
derivatives of the fields with respect to the space-like variable. After
constructing models with three- and two-dimensional targets, we study
renormalization group flows in this context. In the ultraviolet, in some cases,
the target space of the theory reduces to a coset space or there is a fixed
point where the theory becomes free.
| [
{
"created": "Tue, 27 Apr 1999 14:49:58 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jul 1999 17:02:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Sfetsos",
"Konstadinos",
""
]
] | We construct a new class of two-dimensional field theories with target spaces that are finite multiparameter deformations of the usual coset G/H-spaces. They arise naturally, when certain models, related by Poisson-Lie T-duality, develop a local gauge invariance at specific points of their classical moduli space. We show that canonical equivalences in this context can be formulated in loop space in terms of parafermionic-type algebras with a central extension. We find that the corresponding generating functionals are non-polynomial in the derivatives of the fields with respect to the space-like variable. After constructing models with three- and two-dimensional targets, we study renormalization group flows in this context. In the ultraviolet, in some cases, the target space of the theory reduces to a coset space or there is a fixed point where the theory becomes free. |
hep-th/0409239 | Kimball A. Milton | K. A. Milton | Recent Developments in Quantum Vacuum Energy for Confined Fields | 10 pages, one ps figure, uses ws-ijmpa.cls. Talk presented at 8th
Workshop on Non-Perturbative Quantum Chromodynamics, l'Institut Astrophysique
de Paris, 7-11 June 2004 | Int.J.Mod.Phys.A20:4628-4637,2005 | 10.1142/S0217751X05028302 | null | hep-th | null | Quantum vacuum energy entered hadronic physics through the zero-point energy
parameter introduced into the bag model. Estimates of this parameter led to
apparent discordance with phenomenological fits. More serious were divergences
which were omitted in an ad hoc manner. New developments in understanding
Casimir self-stresses, and the nature of surface divergences, promise to render
the situation clearcut.
| [
{
"created": "Thu, 23 Sep 2004 17:58:37 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2004 22:47:35 GMT",
"version": "v2"
}
] | 2010-11-05 | [
[
"Milton",
"K. A.",
""
]
] | Quantum vacuum energy entered hadronic physics through the zero-point energy parameter introduced into the bag model. Estimates of this parameter led to apparent discordance with phenomenological fits. More serious were divergences which were omitted in an ad hoc manner. New developments in understanding Casimir self-stresses, and the nature of surface divergences, promise to render the situation clearcut. |
hep-th/0210307 | Hrvoje Nikolic | H. Nikolic | Fermionic functionals without Grassmann numbers | 4 pages | null | null | null | hep-th hep-lat quant-ph | null | Since any fermionic operator \psi can be written as \psi=q+ip, where q and p
are hermitian operators, we use the eigenvalues of q and p to construct a
functional formalism for calculating matrix elements that involve fermionic
fields. The formalism is similar to that for bosonic fields and does not
involve Grassmann numbers. This makes possible to perform numerical fermionic
lattice computations that are much faster than not only other algorithms for
fermions, but also algorithms for bosons.
| [
{
"created": "Thu, 31 Oct 2002 13:12:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nikolic",
"H.",
""
]
] | Since any fermionic operator \psi can be written as \psi=q+ip, where q and p are hermitian operators, we use the eigenvalues of q and p to construct a functional formalism for calculating matrix elements that involve fermionic fields. The formalism is similar to that for bosonic fields and does not involve Grassmann numbers. This makes possible to perform numerical fermionic lattice computations that are much faster than not only other algorithms for fermions, but also algorithms for bosons. |
1904.05997 | Kang Zhou | Bo Feng, Xiaodi Li, Kang Zhou | Expansion of Einstein-Yang-Mills theory by Differential Operators | 63 pages | Phys. Rev. D 100, 125012 (2019) | 10.1103/PhysRevD.100.125012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The factorization form of the integrands in the Cachazo-He-Yuan (CHY)
formalism makes the generalized Kawai-Lewellen-Tye (KLT) relations manifest,
thus amplitudes of one theory can be expanded in terms of the amplitudes of
another theory. Although this claim seems a rather natural consequence of the
above structure, finding the exact expansion coefficients to express an
amplitude in terms of another amplitudes is, nonetheless, a nontrivial task
despite many efforts
devoted to it in the literature. In this paper, we propose a new strategy
based in using the differential operators introduced by Cheung, Shen and Wen,
and taking advantage of the fact these operators already relate the amplitudes
of different theories. Using this new method, expansion coefficients can be
found effectively.
| [
{
"created": "Fri, 12 Apr 2019 01:28:07 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2019 09:07:29 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Jul 2019 09:09:46 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Dec 2019 02:57:41 GMT",
"version": "v4"
}
] | 2019-12-18 | [
[
"Feng",
"Bo",
""
],
[
"Li",
"Xiaodi",
""
],
[
"Zhou",
"Kang",
""
]
] | The factorization form of the integrands in the Cachazo-He-Yuan (CHY) formalism makes the generalized Kawai-Lewellen-Tye (KLT) relations manifest, thus amplitudes of one theory can be expanded in terms of the amplitudes of another theory. Although this claim seems a rather natural consequence of the above structure, finding the exact expansion coefficients to express an amplitude in terms of another amplitudes is, nonetheless, a nontrivial task despite many efforts devoted to it in the literature. In this paper, we propose a new strategy based in using the differential operators introduced by Cheung, Shen and Wen, and taking advantage of the fact these operators already relate the amplitudes of different theories. Using this new method, expansion coefficients can be found effectively. |
hep-th/0306027 | J. M. C. Malbouisson | A. P. C. Malbouisson, J. M. C. Malbouisson, A. E. Santana, J. C. da
Silva | Confinement in the 3-dimensional Gross-Neveu model | Latex, 4 pages, 2 figures (one new), some changes in text | Int.J.Mod.Phys. A20 (2005) 4638-4645 | 10.1142/S0217751X05028314 | null | hep-th hep-ph | null | We consider the $N$-components 3-dimensional massive Gross-Neveu model
compactified in one spatial direction, the system being constrained to a slab
of thickness $L$. We derive a closed formula for the effective renormalized
$L$-dependent coupling constant in the large-N limit, using bag-model boundary
conditions. For values of the fixed coupling constant in absence of boundaries
$\lambda \geq \lambda_c \simeq 19.16$, we obtain ultra-violet asymptotic
freedom (for $L \to 0$) and confinement for a length $L^{(c)}$ such that $2.07
m^{-1} < L^{(c)} \lesssim 2.82 m^{-1}$, $m$ being the fermionic mass. Taking
for $m$ an average of the masses of the quarks composing the proton, we obtain
a confining legth $L^{(c)}_p$ which is comparable with an estimated proton
diameter.
| [
{
"created": "Tue, 3 Jun 2003 20:01:31 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jun 2003 22:25:07 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Santana",
"A. E.",
""
],
[
"da Silva",
"J. C.",
""
]
] | We consider the $N$-components 3-dimensional massive Gross-Neveu model compactified in one spatial direction, the system being constrained to a slab of thickness $L$. We derive a closed formula for the effective renormalized $L$-dependent coupling constant in the large-N limit, using bag-model boundary conditions. For values of the fixed coupling constant in absence of boundaries $\lambda \geq \lambda_c \simeq 19.16$, we obtain ultra-violet asymptotic freedom (for $L \to 0$) and confinement for a length $L^{(c)}$ such that $2.07 m^{-1} < L^{(c)} \lesssim 2.82 m^{-1}$, $m$ being the fermionic mass. Taking for $m$ an average of the masses of the quarks composing the proton, we obtain a confining legth $L^{(c)}_p$ which is comparable with an estimated proton diameter. |
hep-th/9712071 | Savdeep Sethi | Ori J. Ganor and Savdeep Sethi | New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries | 44 pages, harvmac; references added | JHEP 9801:007,1998 | 10.1088/1126-6708/1998/01/007 | null | hep-th | null | We describe various approaches that give matrix descriptions of compactified
NS five-branes. As a result, we obtain matrix models for Yang-Mills theories
with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of
the various approaches relates the Coulomb branch of certain gauge theories to
the moduli space of instantons on $T^4$. We also obtain an equivalence between
certain six-dimensional string theories. Further, we discuss how various
perturbative and non-perturbative features of these Yang-Mills theories appear
in their matrix formulations. The matrix model for four-dimensional Yang-Mills
is manifestly S-dual. In this case, we describe how electric fluxes, magnetic
fluxes and the interaction between vector particles are realized in the matrix
model.
| [
{
"created": "Mon, 8 Dec 1997 18:46:29 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 1997 15:11:48 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Ganor",
"Ori J.",
""
],
[
"Sethi",
"Savdeep",
""
]
] | We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the various approaches relates the Coulomb branch of certain gauge theories to the moduli space of instantons on $T^4$. We also obtain an equivalence between certain six-dimensional string theories. Further, we discuss how various perturbative and non-perturbative features of these Yang-Mills theories appear in their matrix formulations. The matrix model for four-dimensional Yang-Mills is manifestly S-dual. In this case, we describe how electric fluxes, magnetic fluxes and the interaction between vector particles are realized in the matrix model. |
1503.04230 | Guillaume Bossard | Guillaume Bossard and Valentin Verschinin | The two D6R4 type invariants and their higher order generalisation | 53 pages | null | 10.1007/JHEP07(2015)154 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that there are two distinct classes of D6R4 type supersymmetry
invariants in maximal supergravity. The second class includes a coupling in
F2D4R4 that generalises to 1/8 BPS protected F2kD4R4 couplings. We work out the
supersymmetry constraints on the corresponding threshold functions, and argue
that the functions in the second class satisfy to homogeneous differential
equations for arbitrary k>0, such that the corresponding exact threshold
functions in type II string theory should be proportional to Eisenstein series,
which we identify. This analysis explains in particular that the exact D6R4
threshold function is the sum of an Eisenstein function and a solution to an
inhomogeneous Poisson equation in string theory.
| [
{
"created": "Fri, 13 Mar 2015 21:52:39 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Bossard",
"Guillaume",
""
],
[
"Verschinin",
"Valentin",
""
]
] | We show that there are two distinct classes of D6R4 type supersymmetry invariants in maximal supergravity. The second class includes a coupling in F2D4R4 that generalises to 1/8 BPS protected F2kD4R4 couplings. We work out the supersymmetry constraints on the corresponding threshold functions, and argue that the functions in the second class satisfy to homogeneous differential equations for arbitrary k>0, such that the corresponding exact threshold functions in type II string theory should be proportional to Eisenstein series, which we identify. This analysis explains in particular that the exact D6R4 threshold function is the sum of an Eisenstein function and a solution to an inhomogeneous Poisson equation in string theory. |
2206.02162 | Mykola Semenyakin | Mykola Semenyakin | Topological string amplitudes and Seiberg-Witten prepotentials from the
counting of dimers in transverse flux | 21 pages | null | 10.1007/JHEP10(2022)198 | null | hep-th math-ph math.CO math.MP math.PR math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Important illustration to the principle ``partition functions in string
theory are $\tau$-functions of integrable equations'' is the fact that the
(dual) partition functions of $4d$ $\mathcal{N}=2$ gauge theories solve
Painlev\'e equations. In this paper we show a road to self-consistent proof of
the recently suggested generalization of this correspondence: partition
functions of topological string on local Calabi-Yau manifolds solve
$q$-difference equations of non-autonomous dynamics of the
``cluster-algebraic'' integrable systems.
We explain in details the ``solutions'' side of the proposal. In the simplest
non-trivial example we show how $3d$ box-counting of topological string
partition function appears from the counting of dimers on bipartite graph with
the discrete gauge field of ``flux'' $q$. This is a new form of topological
string/spectral theory type correspondence, since the partition function of
dimers can be computed as determinant of the linear $q$-difference Kasteleyn
operator. Using WKB method in the ``melting'' $q\to 1$ limit we get a closed
integral formula for Seiberg-Witten prepotential of the corresponding $5d$
gauge theory. The ``equations'' side of the correspondence remains the
intriguing topic for the further studies.
| [
{
"created": "Sun, 5 Jun 2022 12:25:38 GMT",
"version": "v1"
}
] | 2022-11-23 | [
[
"Semenyakin",
"Mykola",
""
]
] | Important illustration to the principle ``partition functions in string theory are $\tau$-functions of integrable equations'' is the fact that the (dual) partition functions of $4d$ $\mathcal{N}=2$ gauge theories solve Painlev\'e equations. In this paper we show a road to self-consistent proof of the recently suggested generalization of this correspondence: partition functions of topological string on local Calabi-Yau manifolds solve $q$-difference equations of non-autonomous dynamics of the ``cluster-algebraic'' integrable systems. We explain in details the ``solutions'' side of the proposal. In the simplest non-trivial example we show how $3d$ box-counting of topological string partition function appears from the counting of dimers on bipartite graph with the discrete gauge field of ``flux'' $q$. This is a new form of topological string/spectral theory type correspondence, since the partition function of dimers can be computed as determinant of the linear $q$-difference Kasteleyn operator. Using WKB method in the ``melting'' $q\to 1$ limit we get a closed integral formula for Seiberg-Witten prepotential of the corresponding $5d$ gauge theory. The ``equations'' side of the correspondence remains the intriguing topic for the further studies. |
hep-th/9401073 | Michael Douglas | Michael R. Douglas (Rutgers) | Some Comments on QCD String | RU-94-9. (harvmac, 9 pp.) | null | null | null | hep-th | null | We try to draw lessons for higher dimensions from the string representations
recently derived for large $N$ Yang-Mills theory by Gross and Taylor, Kostov,
and others, and call attention to three characteristics that should be expected
of a string theory precisely equivalent to a higher dimensional gauge theory:
continuous world-sheets; strong coupling at short distances; and negative
weights. To appear in the proceedings of the Strings '93 Berkeley conference.
| [
{
"created": "Fri, 14 Jan 1994 20:52:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Douglas",
"Michael R.",
"",
"Rutgers"
]
] | We try to draw lessons for higher dimensions from the string representations recently derived for large $N$ Yang-Mills theory by Gross and Taylor, Kostov, and others, and call attention to three characteristics that should be expected of a string theory precisely equivalent to a higher dimensional gauge theory: continuous world-sheets; strong coupling at short distances; and negative weights. To appear in the proceedings of the Strings '93 Berkeley conference. |
hep-th/0107049 | Vagenas | T. Christodoulakis, G.A. Diamandis, B.C. Georgalas and E.C. Vagenas | Casimir Effect in 2D Stringy Black Hole Backgrounds | RevTeX, 27 pages, no figures, to appear in Phys.Rev. D, Vol 64 (Dec.
2001) | Phys.Rev.D64:124022,2001 | 10.1103/PhysRevD.64.124022 | UA/NPPS-04-2001 | hep-th gr-qc | null | We consider the two-dimensional "Schwarzschild" and "Reissner-Nordstrom"
stringy black holes as systems of Casimir type. We explicitly calculate the
energy-momentum tensor of a massless scalar field satisfying Dirichlet boundary
conditions on two one-dimensional "walls". These results are obtained using the
Wald's axioms. Thermodynamical quantities such as pressure, specific heat,
isothermal compressibility and entropy of the two-dimensional stringy black
holes are calculated. A comparison is made between the obtained results and the
laws of thermodynamics. The results obtained for the extremal (Q=M) stringy
two-dimensional charged black hole are identical in all three different vacua
used; a fact that indicates its quantum stability.
| [
{
"created": "Fri, 6 Jul 2001 10:28:13 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2001 08:53:32 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Christodoulakis",
"T.",
""
],
[
"Diamandis",
"G. A.",
""
],
[
"Georgalas",
"B. C.",
""
],
[
"Vagenas",
"E. C.",
""
]
] | We consider the two-dimensional "Schwarzschild" and "Reissner-Nordstrom" stringy black holes as systems of Casimir type. We explicitly calculate the energy-momentum tensor of a massless scalar field satisfying Dirichlet boundary conditions on two one-dimensional "walls". These results are obtained using the Wald's axioms. Thermodynamical quantities such as pressure, specific heat, isothermal compressibility and entropy of the two-dimensional stringy black holes are calculated. A comparison is made between the obtained results and the laws of thermodynamics. The results obtained for the extremal (Q=M) stringy two-dimensional charged black hole are identical in all three different vacua used; a fact that indicates its quantum stability. |
hep-th/0312041 | Sharmanthie Fernando | Sharmanthie Fernando and Keith Arnold | Scalar Perturbations of Charged Dilaton Black Holes | 14 pages, 13 figures, typos corrected | Gen.Rel.Grav. 36 (2004) 1805-1819 | 10.1023/B:GERG.0000035953.31652.88 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the scalar perturbation of static charged dilaton black holes
in 3+1 dimensions. The black hole considered here is a solution to the
low-energy string theory in 3+1 dimensions. The quasinormal modes for the
scalar perturbations are calculated using the third order WKB method. The
dilaton coupling constant has a considerable effect on the values of quasi
normal modes. It is also observed that there is a linear relation between the
quasi normal modes and the temperature for large black holes.
| [
{
"created": "Wed, 3 Dec 2003 22:34:46 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 2004 18:39:39 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Aug 2015 14:40:39 GMT",
"version": "v3"
}
] | 2015-08-04 | [
[
"Fernando",
"Sharmanthie",
""
],
[
"Arnold",
"Keith",
""
]
] | We have studied the scalar perturbation of static charged dilaton black holes in 3+1 dimensions. The black hole considered here is a solution to the low-energy string theory in 3+1 dimensions. The quasinormal modes for the scalar perturbations are calculated using the third order WKB method. The dilaton coupling constant has a considerable effect on the values of quasi normal modes. It is also observed that there is a linear relation between the quasi normal modes and the temperature for large black holes. |
1210.0497 | Srijit Bhattacharjee | Srijit Bhattacharjee and Parthasarathi Majumdar | Gravitational Coleman-Weinberg Potential and It's Finite Temperature
Counterpart | 13 pages, 2 figures, version accepted in Nuclear Physics B | Nuclear Physics, Section B (2014), pp. 481-492 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Coleman-Weinberg (CW) phenomena for the case of gravitons minimally coupled
to massless scalar field is studied. The one loop effect completely vanishes if
there is no self interaction term present in the matter sector. The one loop
effective potential is shown to develop an instability in the form of acquiring
an imaginary part, which can be traced to the tachyonic pole in the graviton
propagator. The finite temperature counterpart of this CW potential is computed
to study the behaviour of the potential in the high and low temperature regimes
with respect to the typical energy scale of the theory. Finite temperature
contribution to the imaginary part of gravitational CW potential exhibits a
damped oscillatory behaviour; all thermal effects are damped out as the
temperature vanishes, consistent with the zero-temperature result. Possibility
of symmetry restoration at high temperature is also depicted.
| [
{
"created": "Mon, 1 Oct 2012 18:32:03 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2013 14:22:12 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Dec 2013 13:20:37 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Jun 2014 14:35:11 GMT",
"version": "v4"
}
] | 2014-06-16 | [
[
"Bhattacharjee",
"Srijit",
""
],
[
"Majumdar",
"Parthasarathi",
""
]
] | Coleman-Weinberg (CW) phenomena for the case of gravitons minimally coupled to massless scalar field is studied. The one loop effect completely vanishes if there is no self interaction term present in the matter sector. The one loop effective potential is shown to develop an instability in the form of acquiring an imaginary part, which can be traced to the tachyonic pole in the graviton propagator. The finite temperature counterpart of this CW potential is computed to study the behaviour of the potential in the high and low temperature regimes with respect to the typical energy scale of the theory. Finite temperature contribution to the imaginary part of gravitational CW potential exhibits a damped oscillatory behaviour; all thermal effects are damped out as the temperature vanishes, consistent with the zero-temperature result. Possibility of symmetry restoration at high temperature is also depicted. |
hep-th/0301057 | Pierre Mathieu | L. B\'egin, J.-F. Fortin, P. Jacob and P. Mathieu | Fermionic characters for graded parafermions | 24 p. This corrects typos (present even in the published version) in
eqs (4.4), (5.23), (5.24) and (C.4) | Nucl.Phys. B659 (2003) 365-386 | 10.1016/S0550-3213(03)00175-5 | null | hep-th math.QA | null | Fermionic-type character formulae are presented for charged
irreduciblemodules of the graded parafermionic conformal field theory
associated to the coset $osp(1,2)_k/u(1)$. This is obtained by counting the
weakly ordered `partitions' subject to the graded $Z_k$ exclusion principle.
The bosonic form of the characters is also presented.
| [
{
"created": "Thu, 9 Jan 2003 15:13:55 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 2003 15:57:41 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jun 2004 14:22:47 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Bégin",
"L.",
""
],
[
"Fortin",
"J. -F.",
""
],
[
"Jacob",
"P.",
""
],
[
"Mathieu",
"P.",
""
]
] | Fermionic-type character formulae are presented for charged irreduciblemodules of the graded parafermionic conformal field theory associated to the coset $osp(1,2)_k/u(1)$. This is obtained by counting the weakly ordered `partitions' subject to the graded $Z_k$ exclusion principle. The bosonic form of the characters is also presented. |
0904.2063 | Benjamin Martin | A. B. Gillard and B. M. S. Martin | Quantum fields, dark matter and non-standard Wigner classes | 6 pages. Submitted to proceedings of Dark2009, Christchurch, New
Zealand, January 2009 | null | 10.1142/9789814293792_0036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Elko field of Ahluwalia and Grumiller is a quantum field for massive
spin-1/2 particles. It has been suggested as a candidate for dark matter. We
discuss our attempts to interpret the Elko field as a quantum field in the
sense of Weinberg. Our work suggests that one should investigate quantum fields
based on representations of the full Poincar\'e group which belong to one of
the non-standard Wigner classes.
| [
{
"created": "Tue, 14 Apr 2009 07:27:57 GMT",
"version": "v1"
}
] | 2016-11-15 | [
[
"Gillard",
"A. B.",
""
],
[
"Martin",
"B. M. S.",
""
]
] | The Elko field of Ahluwalia and Grumiller is a quantum field for massive spin-1/2 particles. It has been suggested as a candidate for dark matter. We discuss our attempts to interpret the Elko field as a quantum field in the sense of Weinberg. Our work suggests that one should investigate quantum fields based on representations of the full Poincar\'e group which belong to one of the non-standard Wigner classes. |
1011.1485 | Joao Penedones | Joao Penedones | Writing CFT correlation functions as AdS scattering amplitudes | 23 pages + appendices | JHEP 1103:025,2011 | 10.1007/JHEP03(2011)025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the Mellin representation of conformal correlation functions
recently proposed by Mack. Examples in the AdS/CFT context reinforce the
analogy between Mellin amplitudes and scattering amplitudes. We conjecture a
simple formula relating the bulk scattering amplitudes to the asymptotic
behavior of Mellin amplitudes and show that previous results on the flat space
limit of AdS follow from our new formula. We find that the Mellin amplitudes
are particularly useful in the case of conformal gauge theories in the planar
limit. In this case, the four point Mellin amplitudes are meromorphic functions
whose poles and their residues are entirely determined by two and three point
functions of single-trace operators. This makes the Mellin amplitudes the ideal
objects to attempt the conformal bootstrap program in higher dimensions.
| [
{
"created": "Fri, 5 Nov 2010 19:18:59 GMT",
"version": "v1"
}
] | 2011-03-18 | [
[
"Penedones",
"Joao",
""
]
] | We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula relating the bulk scattering amplitudes to the asymptotic behavior of Mellin amplitudes and show that previous results on the flat space limit of AdS follow from our new formula. We find that the Mellin amplitudes are particularly useful in the case of conformal gauge theories in the planar limit. In this case, the four point Mellin amplitudes are meromorphic functions whose poles and their residues are entirely determined by two and three point functions of single-trace operators. This makes the Mellin amplitudes the ideal objects to attempt the conformal bootstrap program in higher dimensions. |
1410.8302 | Mikael von Strauss | Laura Bernard, Cedric Deffayet and Mikael von Strauss | Consistent massive graviton on arbitrary backgrounds | Latex, 5 pages. Matches published version | Phys. Rev. D 91, 104013 (2015) | 10.1103/PhysRevD.91.104013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the fully covariant linearized field equations for the metric
perturbation in the de Rham-Gabadadze-Tolley (dRGT) ghost free massive
gravities. For a subset of these theories, we show that the non dynamical
metric that appears in the dRGT setup can be completely eliminated leading to
the theory of a massive graviton moving in a single metric. This has a mass
term which contains non trivial contributions of the space-time curvature. We
show further how 5 covariant constraints can be obtained including one which
leads to the tracelessness of the graviton on flat space-time and removes the
Boulware-Deser ghost. The 5 constraints are obtained for a background metric
which is arbitrary, i.e. which does not have to obey the background field
equations.
| [
{
"created": "Thu, 30 Oct 2014 10:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 2015 14:19:48 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Bernard",
"Laura",
""
],
[
"Deffayet",
"Cedric",
""
],
[
"von Strauss",
"Mikael",
""
]
] | We obtain the fully covariant linearized field equations for the metric perturbation in the de Rham-Gabadadze-Tolley (dRGT) ghost free massive gravities. For a subset of these theories, we show that the non dynamical metric that appears in the dRGT setup can be completely eliminated leading to the theory of a massive graviton moving in a single metric. This has a mass term which contains non trivial contributions of the space-time curvature. We show further how 5 covariant constraints can be obtained including one which leads to the tracelessness of the graviton on flat space-time and removes the Boulware-Deser ghost. The 5 constraints are obtained for a background metric which is arbitrary, i.e. which does not have to obey the background field equations. |
0804.0908 | Dmitriy Uvarov | D.V. Uvarov | Canonical description of D=10 superstring formulated in supertwistor
space | 20 pages, LateX. V2: comments and references added. Version accepted
to J.Phys. A | J.Phys.A42:115204,2009 | 10.1088/1751-8113/42/11/115204 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical description of the D=10 superstring action involving supertwistor
variables generalizing Penrose-Ferber supertwistors is developed. Primary and
secondary constraints are identified and arranged into the first- and
second-class sets. Dirac brackets are introduced and the deformation of the
Poisson bracket algebra of the first-class constraints is studied. The role of
the deformation parameter is played by alpha'.
| [
{
"created": "Sun, 6 Apr 2008 13:52:25 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2009 09:50:02 GMT",
"version": "v2"
}
] | 2009-12-04 | [
[
"Uvarov",
"D. V.",
""
]
] | Canonical description of the D=10 superstring action involving supertwistor variables generalizing Penrose-Ferber supertwistors is developed. Primary and secondary constraints are identified and arranged into the first- and second-class sets. Dirac brackets are introduced and the deformation of the Poisson bracket algebra of the first-class constraints is studied. The role of the deformation parameter is played by alpha'. |
hep-th/0106151 | Pawel O. Mazur | Pawel O. Mazur (1), Emil Mottola (2) ((1) University of South
Carolina, (2) Los Alamos National Laboratory) | Weyl Cohomology and the Effective Action for Conformal Anomalies | 32 pages. LateX file. LateX twice | Phys.Rev. D64 (2001) 104022 | 10.1103/PhysRevD.64.104022 | LA-UR-01-3121 | hep-th gr-qc hep-ph math-ph math.MP | null | We present a general method of deriving the effective action for conformal
anomalies in any even dimension, which satisfies the Wess-Zumino consistency
condition by construction. The method relies on defining the coboundary
operator of the local Weyl group, and giving a cohomological interpretation to
counterterms in the effective action in dimensional regularization with respect
to this group. Non-trivial cocycles of the Weyl group arise from local
functionals that are Weyl invariant in and only in the physical even integer
dimension. In the physical dimension the non-trivial cocycles generate
covariant non-local action functionals characterized by sensitivity to global
Weyl rescalings. The non-local action so obtained is unique up to the addition
of trivial cocycles and Weyl invariant terms, both of which are insensitive to
global Weyl rescalings. These distinct behaviors under rigid dilations can be
used to distinguish between infrared relevant and irrelevant operators in a
generally covariant manner. Variation of the $d=4$ non-local effective action
yields two new conserved geometric stress tensors with local traces. The method
may be extended to any even dimension by making use of the general construction
of conformal invariants given by Fefferman and Graham. As a corollary,
conformal field theory behavior of correlators at the asymptotic infinity of
either anti-de Sitter or de Sitter spacetimes follows, i.e. AdS$_{d+1}$ or
deS$_{d+1}$/CFT$_d$ correspondence. The same construction naturally selects all
infrared relevant terms (and only those terms) in the low energy effective
action of gravity in any even integer dimension. The infrared relevant terms
arising from the known anomalies in d=4 imply that the classical Einstein
theory is modified at large distances.
| [
{
"created": "Mon, 18 Jun 2001 22:40:00 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Mazur",
"Pawel O.",
""
],
[
"Mottola",
"Emil",
""
]
] | We present a general method of deriving the effective action for conformal anomalies in any even dimension, which satisfies the Wess-Zumino consistency condition by construction. The method relies on defining the coboundary operator of the local Weyl group, and giving a cohomological interpretation to counterterms in the effective action in dimensional regularization with respect to this group. Non-trivial cocycles of the Weyl group arise from local functionals that are Weyl invariant in and only in the physical even integer dimension. In the physical dimension the non-trivial cocycles generate covariant non-local action functionals characterized by sensitivity to global Weyl rescalings. The non-local action so obtained is unique up to the addition of trivial cocycles and Weyl invariant terms, both of which are insensitive to global Weyl rescalings. These distinct behaviors under rigid dilations can be used to distinguish between infrared relevant and irrelevant operators in a generally covariant manner. Variation of the $d=4$ non-local effective action yields two new conserved geometric stress tensors with local traces. The method may be extended to any even dimension by making use of the general construction of conformal invariants given by Fefferman and Graham. As a corollary, conformal field theory behavior of correlators at the asymptotic infinity of either anti-de Sitter or de Sitter spacetimes follows, i.e. AdS$_{d+1}$ or deS$_{d+1}$/CFT$_d$ correspondence. The same construction naturally selects all infrared relevant terms (and only those terms) in the low energy effective action of gravity in any even integer dimension. The infrared relevant terms arising from the known anomalies in d=4 imply that the classical Einstein theory is modified at large distances. |
2203.01871 | Patrick Draper | Patrick Draper and Szilard Farkas | Euclidean de Sitter Black Holes and Microcanonical Equilibrium | 20 pages | null | 10.1103/PhysRevD.105.126021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Schwarzschild-de Sitter (SdS) black holes do not admit a completely smooth
Euclidean continuation. We discuss some modifications of the gravitational path
integral that give Euclidean SdS a semiclassical equilibrium interpretation.
First we consider "gravity in a cavity," defining the canonical ensemble in a
box that excises one horizon. However, this standard approach does not work for
positive cosmological constant: the solution of lowest free energy has a
negative heat capacity, which is inconsistent if it is to provide the leading
semiclassical contribution to a canonical partition function. Instead we modify
the boundary conditions in the path integral to construct the microcanonical
partition function, which appears to be well-defined. We then bring two
ensembles into contact and remove the boundary, producing states of a larger
microcanonical ensemble that contain, for example, both a black hole and a
cosmological horizon at once. These systems are closed and have no boundary,
but they must possess some form of mild metric discontinuity. We discuss the
case where the discontinuity is equivalent to the insertion of a thin, rigid
membrane, separating two systems that can exchange energy and are at local
equilibrium. Equilibrium configurations obtained in this way are found to be
thermodynamically unstable if they contain a black hole.
| [
{
"created": "Thu, 3 Mar 2022 17:29:15 GMT",
"version": "v1"
}
] | 2022-07-13 | [
[
"Draper",
"Patrick",
""
],
[
"Farkas",
"Szilard",
""
]
] | Schwarzschild-de Sitter (SdS) black holes do not admit a completely smooth Euclidean continuation. We discuss some modifications of the gravitational path integral that give Euclidean SdS a semiclassical equilibrium interpretation. First we consider "gravity in a cavity," defining the canonical ensemble in a box that excises one horizon. However, this standard approach does not work for positive cosmological constant: the solution of lowest free energy has a negative heat capacity, which is inconsistent if it is to provide the leading semiclassical contribution to a canonical partition function. Instead we modify the boundary conditions in the path integral to construct the microcanonical partition function, which appears to be well-defined. We then bring two ensembles into contact and remove the boundary, producing states of a larger microcanonical ensemble that contain, for example, both a black hole and a cosmological horizon at once. These systems are closed and have no boundary, but they must possess some form of mild metric discontinuity. We discuss the case where the discontinuity is equivalent to the insertion of a thin, rigid membrane, separating two systems that can exchange energy and are at local equilibrium. Equilibrium configurations obtained in this way are found to be thermodynamically unstable if they contain a black hole. |
hep-th/9305157 | Jean-Philippe Brunet | Carlos Castro (I.A.E.C 1407 Alegria Austin, Texas USA) | A New Spinning Membrane Lagrangian | submitted to the Journal of Group Theory in Physics 14 pages | Int.J.Groups Phys. 1 (1993) 215 | null | IAEC-5-93 | hep-th | null | A new local world volume supersymmetric Lagrangian for the bosonic membrane
is presented. The starting Lagrangian is the one constructed by Dolan and
Tchrakian with vanishing cosmological constant, with quadratic and quartic
derivative terms. Our Lagrangian differs from the one constructed by Lindstrom
and Rocek in the fact that it is polynomial in the fields facilitating the
quantization process. It is argued, rigorously, that if one wishes to construct
polynomial actions without a curvature scalar term and, where supersymmetry is
linearly realized in the space of physical fields, after the elimination of
auxiliary fields, one must relinquish $S$ supersymmetry, altogether, and
concentrate solely on the $Q$ supersymmetry associated with the superconformal
algebra in three dimensions. A full $''Q+S''$ supersymmetry cannot be
implemented in a linearly realized way satisfying all of the above-mentioned
requirements, unless a non-polynomial action is chosen.
PACS:04.65.+e, 04.20.Fy.
| [
{
"created": "Thu, 27 May 1993 20:40:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Castro",
"Carlos",
"",
"I.A.E.C 1407 Alegria Austin, Texas USA"
]
] | A new local world volume supersymmetric Lagrangian for the bosonic membrane is presented. The starting Lagrangian is the one constructed by Dolan and Tchrakian with vanishing cosmological constant, with quadratic and quartic derivative terms. Our Lagrangian differs from the one constructed by Lindstrom and Rocek in the fact that it is polynomial in the fields facilitating the quantization process. It is argued, rigorously, that if one wishes to construct polynomial actions without a curvature scalar term and, where supersymmetry is linearly realized in the space of physical fields, after the elimination of auxiliary fields, one must relinquish $S$ supersymmetry, altogether, and concentrate solely on the $Q$ supersymmetry associated with the superconformal algebra in three dimensions. A full $''Q+S''$ supersymmetry cannot be implemented in a linearly realized way satisfying all of the above-mentioned requirements, unless a non-polynomial action is chosen. PACS:04.65.+e, 04.20.Fy. |
hep-th/0201018 | Euro Spallucci | S. Ansoldi, C. Castro, E.I. Guendelman, E.Spallucci | Nambu-Goto Strings from SU(N) Born-Infeld model | 11pages, no figures, LateX2e; added discussion | Class.Quant.Grav.19:L135-3570,2002 | 10.1088/0264-9381/19/14/103 | null | hep-th | null | The spectrum of quenched Yang-Mills theory in the large-N limit displays
strings and higher dimensional extended objects. The effective dynamics of
string-like excitations is encoded into area preserving Schild action. In this
letter, we bridge the gap between SU(N) gauge models and fully
reparametrization invariant Nambu-Goto string models by introducing an extra
matrix degree of freedom in the Yang-Mills action. In the large-N limit this
matrix variable becomes the world-sheet auxiliary field allowing a smooth
transition between the Schild and Nambu-Goto strings. The new improved matrix
model we propose here can be extended to p-branes provided we enlarge the
dimensionality of the target spacetime.
| [
{
"created": "Fri, 4 Jan 2002 08:47:58 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2002 09:52:58 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Feb 2002 15:35:33 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Ansoldi",
"S.",
""
],
[
"Castro",
"C.",
""
],
[
"Guendelman",
"E. I.",
""
],
[
"Spallucci",
"E.",
""
]
] | The spectrum of quenched Yang-Mills theory in the large-N limit displays strings and higher dimensional extended objects. The effective dynamics of string-like excitations is encoded into area preserving Schild action. In this letter, we bridge the gap between SU(N) gauge models and fully reparametrization invariant Nambu-Goto string models by introducing an extra matrix degree of freedom in the Yang-Mills action. In the large-N limit this matrix variable becomes the world-sheet auxiliary field allowing a smooth transition between the Schild and Nambu-Goto strings. The new improved matrix model we propose here can be extended to p-branes provided we enlarge the dimensionality of the target spacetime. |
0907.2625 | Futoshi Yagi | Kazunobu Maruyoshi, Masato Taki, Seiji Terashima and Futoshi Yagi | New Seiberg Dualities from N=2 Dualities | 31 pages, 7 figures. v2:version to appear in JHEP | null | 10.1088/1126-6708/2009/09/086 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a number of new Seiberg dualities of N=1 quiver gauge theories.
The new Seiberg dualities originate in new S-dualities of N=2 superconformal
field theories recently proposed by Gaiotto. N=2 S-dual theories deformed by
suitable mass terms flow to our N=1 Seiberg dual theories. We show that the
number of exactly marginal operators is universal for these Seiberg dual
theories and the 't Hooft anomaly matching holds for these theories. These
provide strong evidence for the new Seiberg dualities. Furthermore, we study in
detail the Klebanov-Witten type theory and its dual as a concrete example. We
show that chiral operators and their non-linear relations match between these
theories. These arguments also give non-trivial consistency checks for our
proposal.
| [
{
"created": "Wed, 15 Jul 2009 16:37:46 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2009 06:00:33 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Taki",
"Masato",
""
],
[
"Terashima",
"Seiji",
""
],
[
"Yagi",
"Futoshi",
""
]
] | We propose a number of new Seiberg dualities of N=1 quiver gauge theories. The new Seiberg dualities originate in new S-dualities of N=2 superconformal field theories recently proposed by Gaiotto. N=2 S-dual theories deformed by suitable mass terms flow to our N=1 Seiberg dual theories. We show that the number of exactly marginal operators is universal for these Seiberg dual theories and the 't Hooft anomaly matching holds for these theories. These provide strong evidence for the new Seiberg dualities. Furthermore, we study in detail the Klebanov-Witten type theory and its dual as a concrete example. We show that chiral operators and their non-linear relations match between these theories. These arguments also give non-trivial consistency checks for our proposal. |
hep-th/9803210 | Jaume Garriga | Jaume Garriga | Open inflation and the singular boundary | 7 pages | Phys.Rev. D61 (2000) 047301 | 10.1103/PhysRevD.61.047301 | UAB-FT-439 | hep-th astro-ph gr-qc | null | The singularity in Hawking and Turok's model (hep-th/9802030) of open
inflation has some appealing properties. We suggest that this singularity
should be regularized with matter. The singular instanton can then be obtained
as the limit of a family of ``no-boundary'' solutions where both the geometry
and the scalar field are regular. Using this procedure, the contribution of the
singularity to the Euclidean action is just 1/3 of the Gibbons-Hawking boundary
term. Unrelated to this question, we also point out that gravitational
backreaction improves the behaviour of scalar perturbations near the
singularity. As a result, the problem of quantizing scalar perturbations and
gravity waves seems to be very well posed.
| [
{
"created": "Wed, 25 Mar 1998 18:00:43 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Garriga",
"Jaume",
""
]
] | The singularity in Hawking and Turok's model (hep-th/9802030) of open inflation has some appealing properties. We suggest that this singularity should be regularized with matter. The singular instanton can then be obtained as the limit of a family of ``no-boundary'' solutions where both the geometry and the scalar field are regular. Using this procedure, the contribution of the singularity to the Euclidean action is just 1/3 of the Gibbons-Hawking boundary term. Unrelated to this question, we also point out that gravitational backreaction improves the behaviour of scalar perturbations near the singularity. As a result, the problem of quantizing scalar perturbations and gravity waves seems to be very well posed. |
2201.07177 | Li-Yuan Chiang | Li-Yuan Chiang, Yu-tin Huang, Wei Li, Laurentiu Rodina, He-Chen Weng | (Non)-projective bounds on gravitational EFT | 46 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study both projective and non-projective constraints on
four-dimensional gravitational effective fields theories implied from
unitarity, causality and crossing, assuming perturbative UV completions in
$M_{\rm pl}$. We derive bounds on the Wilson coefficients of $R^3$ and
$D^{2n}R^4$ from its dispersive representation, utilizing both numerical
semi-definite programming and analytic geometry analysis. From the former, we
derive projective bounds on ratios of couplings and observe accumulation point
spectrum populating the boundary of the allowed region. For the latter we
consider the non-projective geometry of the EFThedron, which we relate to the
known $L$-moment problem in the literature. This allows us to move beyond
positivity and incorporate the upper bound from unitarity of the imaginary
parts of partial waves. This leads to sharp bounds on individual coefficients,
which are of order unity when normalized with respect to the UV scale. Finally,
the non-projective geometry also allows us to derive optimal bounds reflecting
assumptions of low-spin dominance, improving previous results. We complement
the analytic analysis with a simple linear programming approach that validates
the bounds.
| [
{
"created": "Tue, 18 Jan 2022 18:22:34 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2023 05:44:53 GMT",
"version": "v2"
}
] | 2023-03-16 | [
[
"Chiang",
"Li-Yuan",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Li",
"Wei",
""
],
[
"Rodina",
"Laurentiu",
""
],
[
"Weng",
"He-Chen",
""
]
] | In this paper we study both projective and non-projective constraints on four-dimensional gravitational effective fields theories implied from unitarity, causality and crossing, assuming perturbative UV completions in $M_{\rm pl}$. We derive bounds on the Wilson coefficients of $R^3$ and $D^{2n}R^4$ from its dispersive representation, utilizing both numerical semi-definite programming and analytic geometry analysis. From the former, we derive projective bounds on ratios of couplings and observe accumulation point spectrum populating the boundary of the allowed region. For the latter we consider the non-projective geometry of the EFThedron, which we relate to the known $L$-moment problem in the literature. This allows us to move beyond positivity and incorporate the upper bound from unitarity of the imaginary parts of partial waves. This leads to sharp bounds on individual coefficients, which are of order unity when normalized with respect to the UV scale. Finally, the non-projective geometry also allows us to derive optimal bounds reflecting assumptions of low-spin dominance, improving previous results. We complement the analytic analysis with a simple linear programming approach that validates the bounds. |
hep-th/9410195 | null | Dan Radu Grigore | On Equations with Universal Invariance | 10 pages, LATEX | J.Phys. A28 (1995) L49-L58 | null | null | hep-th | null | A general discussion of equations with universal invariance for a scalar
field is provided in the framework of Lagrangian theory of first-order systems.
| [
{
"created": "Mon, 24 Oct 1994 09:16:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grigore",
"Dan Radu",
""
]
] | A general discussion of equations with universal invariance for a scalar field is provided in the framework of Lagrangian theory of first-order systems. |
1805.01791 | G. Alencar | G. Alencar, R.N. Costa Filho, M.S. Cunha and C.R. Muniz | Rainbow's Gravity Corrections to the Black Hole Global Casimir Effect | Version accepted for publication in EPJP | null | null | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this manuscript we compute corrections to the global Casimir effect at
zero and finite temperature due to Rainbow's Gravity (parametrized by $\xi$).
For this we use the solutions for the scalar field with mass $m$ in the
deformed Schwarzschild background and the corresponding quantized energies of
the system, which represent the stationary states of the field and yield the
stable part of the quantum vacuum energy. The analysis is made here by
considering the limit for which the source mass, $M$, approaches zero, in order
to verify the effects on the global Casimir effect in mini black holes near to
the Planck scale, $\omega_P$. We find a singular behavior for the regularized
vacuum energy at zero temperature and for all the corresponding thermodynamic
quantities when $m^2=\omega^2_P/\xi$, what can be seen as the limit of validity
of the model. Furthermore, we show that the remnant Casimir tension over the
event horizon in the limit $M\to 0$ is finite for any temperature and all the
space of parameters. In fact we show that the remnant tension receives no
corrections from Rainbow's Gravity. This points to the fact that such a
behavior may be an universal property of this kind of system.
| [
{
"created": "Fri, 4 May 2018 14:02:55 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2018 13:46:49 GMT",
"version": "v2"
},
{
"created": "Wed, 16 May 2018 19:42:41 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Oct 2019 16:43:45 GMT",
"version": "v4"
}
] | 2019-10-28 | [
[
"Alencar",
"G.",
""
],
[
"Filho",
"R. N. Costa",
""
],
[
"Cunha",
"M. S.",
""
],
[
"Muniz",
"C. R.",
""
]
] | In this manuscript we compute corrections to the global Casimir effect at zero and finite temperature due to Rainbow's Gravity (parametrized by $\xi$). For this we use the solutions for the scalar field with mass $m$ in the deformed Schwarzschild background and the corresponding quantized energies of the system, which represent the stationary states of the field and yield the stable part of the quantum vacuum energy. The analysis is made here by considering the limit for which the source mass, $M$, approaches zero, in order to verify the effects on the global Casimir effect in mini black holes near to the Planck scale, $\omega_P$. We find a singular behavior for the regularized vacuum energy at zero temperature and for all the corresponding thermodynamic quantities when $m^2=\omega^2_P/\xi$, what can be seen as the limit of validity of the model. Furthermore, we show that the remnant Casimir tension over the event horizon in the limit $M\to 0$ is finite for any temperature and all the space of parameters. In fact we show that the remnant tension receives no corrections from Rainbow's Gravity. This points to the fact that such a behavior may be an universal property of this kind of system. |
hep-th/0509173 | Nobuyoshi Ohta | Takayuki Ishino, Hideo Kodama and Nobuyoshi Ohta | Time-dependent Solutions with Null Killing Spinor in M-theory and
Superstrings | 12 pages; v2: typos corrected, refs. added; v3: typos corrected, to
appear in PLB | Phys.Lett.B631:68-73,2005 | 10.1016/j.physletb.2005.09.080 | OU-HET 542, YITP-05-57 | hep-th gr-qc | null | Imposing the condition that there should be a null Killing spinor with all
the metrics and background field strengths being functions of the light-cone
coordinates, we find general 1/2 BPS solutions in D=11 supergravity, and
discuss several examples. In particular we show that the linear dilaton
background is the most general supersymmetric solution without background under
the additional requirement of flatness in the string frame. We also give the
most general solutions for flat spacetime in the string frame with RR or NS-NS
backgrounds, and they are characterized by a single function.
| [
{
"created": "Thu, 22 Sep 2005 08:31:39 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2005 00:36:14 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Oct 2005 03:23:44 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Ishino",
"Takayuki",
""
],
[
"Kodama",
"Hideo",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | Imposing the condition that there should be a null Killing spinor with all the metrics and background field strengths being functions of the light-cone coordinates, we find general 1/2 BPS solutions in D=11 supergravity, and discuss several examples. In particular we show that the linear dilaton background is the most general supersymmetric solution without background under the additional requirement of flatness in the string frame. We also give the most general solutions for flat spacetime in the string frame with RR or NS-NS backgrounds, and they are characterized by a single function. |
1011.2212 | Joseph Marsano | Joseph Marsano | Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs | 5 pages; v2 published version: substantially revised (reordered some
material, added discussion of MSSM gauge anomalies), references added | Phys.Rev.Lett.106:081601,2011 | 10.1103/PhysRevLett.106.081601 | EFI-10-26 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We sharpen constraints related to hypercharge flux in F-theory GUTs that
possess U(1) symmetries and argue that they arise as a consequence of
4-dimensional anomaly cancellation. This gives a physical explanation for all
restrictions that were observed in spectral cover models while demonstrating
that the phenomenological implications for a well-motivated set of models are
not tied to any particular formalism.
| [
{
"created": "Tue, 9 Nov 2010 21:04:00 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2011 19:38:12 GMT",
"version": "v2"
}
] | 2011-03-18 | [
[
"Marsano",
"Joseph",
""
]
] | We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation. This gives a physical explanation for all restrictions that were observed in spectral cover models while demonstrating that the phenomenological implications for a well-motivated set of models are not tied to any particular formalism. |
0901.1768 | Elias C. Vagenas | Saurya Das, Elias C. Vagenas | Phenomenological Implications of the Generalized Uncertainty Principle | 7 pages. Based on talk by S. Das at Theory Canada 4, Montreal, 4
June, 2008. To be published in the Canadian Journal of Physics | Can.J.Phys.87:233-240,2009 | 10.1139/P08-105 | null | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Various theories of Quantum Gravity argue that near the Planck scale, the
Heisenberg Uncertainty Principle should be replaced by the so called
Generalized Uncertainty Principle (GUP). We show that the GUP gives rise to two
additional terms in any quantum mechanical Hamiltonian, proportional to \beta
p^4 and \beta^2 p^6 respectively, where \beta \sim 1/(M_{Pl}c)^2 is the GUP
parameter. These terms become important at or above the Planck energy.
Considering only the first of these, and treating it as a perturbation, we show
that the GUP affects the Lamb shift, Landau levels, reflection and transmission
coefficients of a potential step and potential barrier, and the current in a
Scanning Tunnel Microscope (STM). Although these are too small to be measurable
at present, we speculate on the possibility of extracting measurable
predictions in the future.
| [
{
"created": "Tue, 13 Jan 2009 11:48:52 GMT",
"version": "v1"
}
] | 2010-11-02 | [
[
"Das",
"Saurya",
""
],
[
"Vagenas",
"Elias C.",
""
]
] | Various theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP). We show that the GUP gives rise to two additional terms in any quantum mechanical Hamiltonian, proportional to \beta p^4 and \beta^2 p^6 respectively, where \beta \sim 1/(M_{Pl}c)^2 is the GUP parameter. These terms become important at or above the Planck energy. Considering only the first of these, and treating it as a perturbation, we show that the GUP affects the Lamb shift, Landau levels, reflection and transmission coefficients of a potential step and potential barrier, and the current in a Scanning Tunnel Microscope (STM). Although these are too small to be measurable at present, we speculate on the possibility of extracting measurable predictions in the future. |
0908.1558 | Rubens Luis Pinto Gurgel do Amaral | L. V. Belvedere, R. L. P. G. Amaral, K. D. Rothe and A. F. Rodrigues | Quantum Electrodynamics in Two-Dimensions at Finite Temperature.
Thermofield Bosonization Approach | null | J.Phys.A44:025401,2011 | 10.1088/1751-8113/44/2/025401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Schwinger model at finite temperature is analyzed using the Thermofield
Dynamics formalism. The operator solution due to Lowenstein and Swieca is
generalized to the case of finite temperature within the thermofield
bosonization approach. The general properties of the statistical-mechanical
ensemble averages of observables in the Hilbert subspace of gauge invariant
thermal states are discussed. The bare charge and chirality of the Fermi
thermofields are screened, giving rise to an infinite number of mutually
orthogonal thermal ground states. One consequence of the bare charge and
chirality selection rule at finite temperature is that there are innumerably
many thermal vacuum states with the same total charge and chirality of the
doubled system. The fermion charge and chirality selection rules at finite
temperature turn out to imply the existence of a family of thermal theta vacua
states parametrized with the same number of parameters as in zero temperature
case. We compute the thermal theta-vacuum expectation value of the mass
operator and show that the analytic expression of the chiral condensate for any
temperature is easily obtained within this approach, as well as, the
corresponding high-temperature behavior.
| [
{
"created": "Tue, 11 Aug 2009 18:37:29 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Belvedere",
"L. V.",
""
],
[
"Amaral",
"R. L. P. G.",
""
],
[
"Rothe",
"K. D.",
""
],
[
"Rodrigues",
"A. F.",
""
]
] | The Schwinger model at finite temperature is analyzed using the Thermofield Dynamics formalism. The operator solution due to Lowenstein and Swieca is generalized to the case of finite temperature within the thermofield bosonization approach. The general properties of the statistical-mechanical ensemble averages of observables in the Hilbert subspace of gauge invariant thermal states are discussed. The bare charge and chirality of the Fermi thermofields are screened, giving rise to an infinite number of mutually orthogonal thermal ground states. One consequence of the bare charge and chirality selection rule at finite temperature is that there are innumerably many thermal vacuum states with the same total charge and chirality of the doubled system. The fermion charge and chirality selection rules at finite temperature turn out to imply the existence of a family of thermal theta vacua states parametrized with the same number of parameters as in zero temperature case. We compute the thermal theta-vacuum expectation value of the mass operator and show that the analytic expression of the chiral condensate for any temperature is easily obtained within this approach, as well as, the corresponding high-temperature behavior. |
hep-th/9408088 | Euro Spallucci | A.Aurilia, E.Spallucci, I.Vanzetta | Postmodern String Theory: Stochastic Formulation | 24pages, ReVTeX | Phys.Rev.D50:6490-6502,1994 | 10.1103/PhysRevD.50.6490 | null | hep-th | null | In this paper we study the dynamics of a statistical ensemble of strings,
building on a recently proposed gauge theory of the string geodesic field. We
show that this stochastic approach is equivalent to the Carath\'eodory
formulation of the Nambu-Goto action, supplemented by an averaging procedure
over the family of classical string world-sheets which are solutions of the
equation of motion. In this new framework, the string geodesic field is
reinterpreted as the Gibbs current density associated with the string
statistical ensemble. Next, we show that the classical field equations derived
from the string gauge action, can be obtained as the semi-classical limit of
the string functional wave equation. For closed strings, the wave equation
itself is completely analogous to the Wheeler-DeWitt equation used in quantum
cosmology. Thus, in the string case, the wave function has support on the space
of all possible spatial loop configurations. Finally, we show that the string
distribution induces a multi-phase, or {\it cellular} structure on the
spacetime manifold characterized by domains with a purely Riemannian geometry
separated by domain walls over which there exists a predominantly Weyl
geometry.
| [
{
"created": "Tue, 16 Aug 1994 07:52:46 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 1994 07:07:28 GMT",
"version": "v2"
}
] | 2019-08-17 | [
[
"Aurilia",
"A.",
""
],
[
"Spallucci",
"E.",
""
],
[
"Vanzetta",
"I.",
""
]
] | In this paper we study the dynamics of a statistical ensemble of strings, building on a recently proposed gauge theory of the string geodesic field. We show that this stochastic approach is equivalent to the Carath\'eodory formulation of the Nambu-Goto action, supplemented by an averaging procedure over the family of classical string world-sheets which are solutions of the equation of motion. In this new framework, the string geodesic field is reinterpreted as the Gibbs current density associated with the string statistical ensemble. Next, we show that the classical field equations derived from the string gauge action, can be obtained as the semi-classical limit of the string functional wave equation. For closed strings, the wave equation itself is completely analogous to the Wheeler-DeWitt equation used in quantum cosmology. Thus, in the string case, the wave function has support on the space of all possible spatial loop configurations. Finally, we show that the string distribution induces a multi-phase, or {\it cellular} structure on the spacetime manifold characterized by domains with a purely Riemannian geometry separated by domain walls over which there exists a predominantly Weyl geometry. |
hep-th/0308136 | Sergei Kuzenko | S. M. Kuzenko and I. N. McArthur | Low-energy dynamics in N = 2 super QED: Two-loop approximation | 27 pages, latex, 4 EPS figures. V2: misprints corrected. V3: error in
eq. (2.33) corrected, conclusions unchanged | JHEP 0310 (2003) 029 | 10.1088/1126-6708/2003/10/029 | null | hep-th | null | The two-loop (Euler-Heisenberg-type) effective action for N = 2
supersymmetric QED is computed using the N = 1 superspace formulation. The
effective action is expressed as a series in supersymmetric extensions of
F^{2n}, where n=2,3,..., with F the field strength. The corresponding
coefficients are given by triple proper-time integrals which are evaluated
exactly. As a by-product, we demonstrate the appearance of a non-vanishing F^4
quantum correction at the two-loop order. The latter result is in conflict with
the conclusion of hep-th/9710142 that no such quantum corrections are generated
at two loops in generic N = 2 SYM theories on the Coulomb branch. We explain a
subtle loophole in the relevant consideration of hep-th/9710142 and re-derive
the F^4 term from harmonic supergraphs.
| [
{
"created": "Thu, 21 Aug 2003 06:48:25 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2003 06:41:31 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Feb 2006 05:15:59 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Kuzenko",
"S. M.",
""
],
[
"McArthur",
"I. N.",
""
]
] | The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,..., with F the field strength. The corresponding coefficients are given by triple proper-time integrals which are evaluated exactly. As a by-product, we demonstrate the appearance of a non-vanishing F^4 quantum correction at the two-loop order. The latter result is in conflict with the conclusion of hep-th/9710142 that no such quantum corrections are generated at two loops in generic N = 2 SYM theories on the Coulomb branch. We explain a subtle loophole in the relevant consideration of hep-th/9710142 and re-derive the F^4 term from harmonic supergraphs. |
0908.1306 | Andreas Brandhuber | Andreas Brandhuber, Gabriele Travaglini, Massimiliano Vincon | A Note on Loop Amplitudes in QED | 15 pages, 3 figures, uses axodraw | null | null | QMUL-PH-09-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the two-loop four-point amplitude in N=2 super QED, and show that
there exists an approximate recursive structure similar to that captured by the
ABDK/BDS ansatz for MHV amplitudes in N=4 super Yang-Mills. Furthermore, we
present a simple relation between the box coefficients of one-loop photon MHV
amplitudes in (super) QED, and sums of box coefficients of one-loop MHV
amplitudes in (super) Yang-Mills.
| [
{
"created": "Mon, 10 Aug 2009 14:06:54 GMT",
"version": "v1"
}
] | 2009-08-11 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Vincon",
"Massimiliano",
""
]
] | We consider the two-loop four-point amplitude in N=2 super QED, and show that there exists an approximate recursive structure similar to that captured by the ABDK/BDS ansatz for MHV amplitudes in N=4 super Yang-Mills. Furthermore, we present a simple relation between the box coefficients of one-loop photon MHV amplitudes in (super) QED, and sums of box coefficients of one-loop MHV amplitudes in (super) Yang-Mills. |
0705.3546 | Xiong Chuanhua | Chuan-Hua Xiong | The Hodge Dual Symmetry of the Green-Schwarz Superstring in $AdS_5
\otimes S^5$ | null | Commun.Theor.Phys.49:1573-1576,2008 | 10.1088/0253-6102/49/6/46 | null | hep-th | null | The hidden symmetry and an infinite set non-local conserved currents of the
Green-Schwarz superstring on $AdS_5\otimes S^5$ have been pointed out by Bena
et al. In this paper, we shown that the Hodge dual between the Maurer-Cartan
equation and the equation of motion gives the hidden symmetry in the moduli
space of Green-Schwarz superstring. Thus by twisty transforming the vielbeins,
we can express the currents of the paper$^{\cite{bpr}}$ as the Lax connections
by a unique spectral parameter.
| [
{
"created": "Thu, 24 May 2007 09:58:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Xiong",
"Chuan-Hua",
""
]
] | The hidden symmetry and an infinite set non-local conserved currents of the Green-Schwarz superstring on $AdS_5\otimes S^5$ have been pointed out by Bena et al. In this paper, we shown that the Hodge dual between the Maurer-Cartan equation and the equation of motion gives the hidden symmetry in the moduli space of Green-Schwarz superstring. Thus by twisty transforming the vielbeins, we can express the currents of the paper$^{\cite{bpr}}$ as the Lax connections by a unique spectral parameter. |
2309.00481 | Olaf Lechtenfeld | Olaf Lechtenfeld | The Nicolai-map approach to supersymmetry | 10 pages LaTeX; plenary talk at the XII. International Symposium on
Quantum Theory and Symmetries (QTS12), Prague, Czech Republic, 24-28 July
2023. arXiv admin note: text overlap with arXiv:2204.02094 | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 1980 Hermann Nicolai proposed a characterization of supersymmetric
theories that became known as the Nicolai map. This is a particular nonlocal
and nonlinear field transformation, whose perturbative expansion is given by
fermion-line trees with bosonic leaves. Quantum correlation functions can by
evaluated using the inversely transformed fields in the free theory. After
initial promise and excitement (fuelling the author's PhD work!), the subject
all but fell dormant for 35 years. Recently however, technical progress in the
construction as well as a deeper insight into the nature of the map have been
achieved, from quantum mechanics to super Yang-Mills in various dimensions. I
will present the Nicolai map from this modern perspective and touch on some of
the current developments.
| [
{
"created": "Fri, 1 Sep 2023 14:18:08 GMT",
"version": "v1"
}
] | 2023-09-04 | [
[
"Lechtenfeld",
"Olaf",
""
]
] | In 1980 Hermann Nicolai proposed a characterization of supersymmetric theories that became known as the Nicolai map. This is a particular nonlocal and nonlinear field transformation, whose perturbative expansion is given by fermion-line trees with bosonic leaves. Quantum correlation functions can by evaluated using the inversely transformed fields in the free theory. After initial promise and excitement (fuelling the author's PhD work!), the subject all but fell dormant for 35 years. Recently however, technical progress in the construction as well as a deeper insight into the nature of the map have been achieved, from quantum mechanics to super Yang-Mills in various dimensions. I will present the Nicolai map from this modern perspective and touch on some of the current developments. |
hep-th/0004011 | Yaron Oz | Mohsen Alishahiha, Harald Ita, Yaron Oz | Graviton Scattering on D6 Branes with B Fields | 25 pages, 4 figures; reference added, absorption computation
corrected, conclusions unchanged | JHEP 0006:002,2000 | 10.1088/1126-6708/2000/06/002 | CERN-TH/2000-089 | hep-th | null | We consider systems of D6 branes in the presence of a nonzero $B$ field of
different ranks. We study the scattering of gravitons in the corresponding
supergravity backgrounds. We show that the nonzero $B$ field does not modify
the form of the scattering potential. The graviton scattering equation has two
solutions one normalizable and one non-normalizable. The normalizable solution
does not lead to an absorption, however the non-normalizable one does. We
analyse the absorption of gravitons by the branes and show that it is nonzero
in the decoupling limit. This result suggests that even in the presence of a
$B$ field the D6 branes worldvolume theory does not decouple from the bulk
gravity. For comparison we analyse the form of the scattering potential and
absorption for Dp branes with $p <5$ and for NS5 branes.
| [
{
"created": "Mon, 3 Apr 2000 15:24:46 GMT",
"version": "v1"
},
{
"created": "Fri, 5 May 2000 09:06:38 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Jun 2000 08:55:15 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Ita",
"Harald",
""
],
[
"Oz",
"Yaron",
""
]
] | We consider systems of D6 branes in the presence of a nonzero $B$ field of different ranks. We study the scattering of gravitons in the corresponding supergravity backgrounds. We show that the nonzero $B$ field does not modify the form of the scattering potential. The graviton scattering equation has two solutions one normalizable and one non-normalizable. The normalizable solution does not lead to an absorption, however the non-normalizable one does. We analyse the absorption of gravitons by the branes and show that it is nonzero in the decoupling limit. This result suggests that even in the presence of a $B$ field the D6 branes worldvolume theory does not decouple from the bulk gravity. For comparison we analyse the form of the scattering potential and absorption for Dp branes with $p <5$ and for NS5 branes. |
hep-th/9503068 | M. Navarro | M. Navarro | Comments on Good's Proposal for New Rules of Quantization | Minor corrections have been made. To appear in J.Math.Phys | J.Math.Phys. 36 (1995) 6665-6672 | 10.1063/1.531179 | Imperial-TP/94-95/25 | hep-th | null | In a recent paper \cite{[Good1]} Good postulated new rules of quantization,
one of the major features of which is that the quantum evolution of the wave
function is always given by ordinary differential equations. In this paper we
analyse the proposal in some detail and discuss its viability and its
relationship with the standard quantum theory. As a byproduct, a simple
derivation of the `mass spectrum' for the Klein-Gordon field is presented, but
it is also shown that there is a complete additional spectrum of negative
`masses'. Finally, two major reasons are presented against the viability of
this alternative proposal: a) It does not lead to the correct energy spectrum
for the hydrogen atom. b) For field models, the standard quantum theory cannot
be recovered from this alternative description.
| [
{
"created": "Fri, 10 Mar 1995 16:17:02 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 1995 17:50:29 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Navarro",
"M.",
""
]
] | In a recent paper \cite{[Good1]} Good postulated new rules of quantization, one of the major features of which is that the quantum evolution of the wave function is always given by ordinary differential equations. In this paper we analyse the proposal in some detail and discuss its viability and its relationship with the standard quantum theory. As a byproduct, a simple derivation of the `mass spectrum' for the Klein-Gordon field is presented, but it is also shown that there is a complete additional spectrum of negative `masses'. Finally, two major reasons are presented against the viability of this alternative proposal: a) It does not lead to the correct energy spectrum for the hydrogen atom. b) For field models, the standard quantum theory cannot be recovered from this alternative description. |
hep-th/9506017 | Werner Seiler | Werner M. Seiler and Robin W. Tucker (Lancaster University) | Involution and Constrained Dynamics I: The Dirac Approach | 28 pages, latex, no figures | J.Phys. A28 (1995) 4431-4452 | 10.1088/0305-4470/28/15/022 | null | hep-th | null | We study the theory of systems with constraints from the point of view of the
formal theory of partial differential equations. For finite-dimensional systems
we show that the Dirac algorithm completes the equations of motion to an
involutive system. We discuss the implications of this identification for field
theories and argue that the involution analysis is more general and flexible
than the Dirac approach. We also derive intrinsic expressions for the number of
degrees of freedom.
| [
{
"created": "Fri, 2 Jun 1995 14:49:03 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Seiler",
"Werner M.",
"",
"Lancaster University"
],
[
"Tucker",
"Robin W.",
"",
"Lancaster University"
]
] | We study the theory of systems with constraints from the point of view of the formal theory of partial differential equations. For finite-dimensional systems we show that the Dirac algorithm completes the equations of motion to an involutive system. We discuss the implications of this identification for field theories and argue that the involution analysis is more general and flexible than the Dirac approach. We also derive intrinsic expressions for the number of degrees of freedom. |
hep-th/0402062 | Boris Zupnik | E. Ivanov, O. Lechtenfeld, B. Zupnik | Non-anticommutative N=(1,1) Euclidean Superspace | LATEX file, 10 pages, Contribution to Proceedings of the
International workshop "Supersymmetries and quantum symmetries", 24-29 July,
Dubna, 2003 | null | null | ITP-UH-04/04 | hep-th | null | We study deformations of four-dimensional N=(1,1)Euclidean superspace induced
by non-anticommuting fermionic coordinates. We essentially use the harmonic
superspace approach and consider nilpotent bi-differential Poisson operators
only, which generalizes the recently studied chiral deformation of N=(1/2,1/2)
superspace. We present non-anticommutative Euclidean analogs of N=2 Maxwell and
hypermultiplet off-shell actions. The talk is based on the paper
hep-th/0308012.
| [
{
"created": "Sat, 7 Feb 2004 08:30:21 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Feb 2004 14:34:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ivanov",
"E.",
""
],
[
"Lechtenfeld",
"O.",
""
],
[
"Zupnik",
"B.",
""
]
] | We study deformations of four-dimensional N=(1,1)Euclidean superspace induced by non-anticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only, which generalizes the recently studied chiral deformation of N=(1/2,1/2) superspace. We present non-anticommutative Euclidean analogs of N=2 Maxwell and hypermultiplet off-shell actions. The talk is based on the paper hep-th/0308012. |
1509.02011 | Thiago Rocha Araujo | Thiago R. Araujo | Revisiting Wilson loops for nonrelativistic backgrounds | 11 pages, typos corrected and references added | Phys. Rev. D 92, 126007 (2015) | 10.1103/PhysRevD.92.126007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider several configurations that describe Wilson loops in
nonrelativistic field theories, and for some of them we find systems of coupled
nonlinear differential equations. Also, we find a nontrivial drag force at zero
temperature, which suggests that the parameter controlling the deviation of the
nonrelativistic space from the relativistic space is somewhat related to the
chemical potential of these systems. Moreover, we reconsider some known
configurations in the literature and we perform further analysis.
| [
{
"created": "Mon, 7 Sep 2015 12:36:58 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 15:03:30 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Dec 2015 21:07:52 GMT",
"version": "v3"
}
] | 2015-12-18 | [
[
"Araujo",
"Thiago R.",
""
]
] | We consider several configurations that describe Wilson loops in nonrelativistic field theories, and for some of them we find systems of coupled nonlinear differential equations. Also, we find a nontrivial drag force at zero temperature, which suggests that the parameter controlling the deviation of the nonrelativistic space from the relativistic space is somewhat related to the chemical potential of these systems. Moreover, we reconsider some known configurations in the literature and we perform further analysis. |
1105.5573 | G. Alencar | R. R. Landim, G. Alencar, M. O. Tahim and R. N. Costa Filho | A Transfer Matrix Method for Resonances in Randall-Sundrum Models | 25 pages, 17 figures | null | 10.1007/JHEP08(2011)071 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss in detail a numerical method to study resonances in
membranes generated by domain walls in Randall-Sundrum-like scenarios. It is
based on similar works to understand the quantum mechanics of electrons subject
to the potential barriers that exist in heterostructures in semiconductors.
This method was used recently to study resonances of a three form field and
lately generalized to arbitrary forms. We apply it to a lot of important
models, namely those that contain the Gauge, Gravity and Spinor fields. In many
cases we find a rich structure of resonances which depends on the parameters
involved.
| [
{
"created": "Fri, 27 May 2011 14:35:44 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2011 15:25:45 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Landim",
"R. R.",
""
],
[
"Alencar",
"G.",
""
],
[
"Tahim",
"M. O.",
""
],
[
"Filho",
"R. N. Costa",
""
]
] | In this paper we discuss in detail a numerical method to study resonances in membranes generated by domain walls in Randall-Sundrum-like scenarios. It is based on similar works to understand the quantum mechanics of electrons subject to the potential barriers that exist in heterostructures in semiconductors. This method was used recently to study resonances of a three form field and lately generalized to arbitrary forms. We apply it to a lot of important models, namely those that contain the Gauge, Gravity and Spinor fields. In many cases we find a rich structure of resonances which depends on the parameters involved. |
hep-th/0111091 | Allan Joseph Medved | A.J.M. Medved (University of Alberta) | Reissner-Nordstrom Near Extremality from a Jackiw-Teitelboim Perspective | 20 pages, Latex; references added | null | null | null | hep-th | null | In this paper, we investigate the near-extremal thermodynamics of the
Reissner-Nordstrom (RN) black hole. Our methodology is based on a duality that
exists between the near-horizon geometry of the near-extremal RN sector and
Jackiw-Teitelboim (JT) theory. First, the described correspondence is reviewed
at the classical level. Next, we consider first-order perturbations in the dual
JT geometry by incorporating a quantum scalar field into the formalism. The
novelty of our approach is that the matter field is endowed with a
4-dimensional pedigree. We ultimately find that back-reaction effects prohibit
the JT black hole from losing all of its mass. This outcome directly implies
that an RN black hole can not reach extremality and, moreover, can not even
come arbitrarily close to an extremal state.
| [
{
"created": "Sat, 10 Nov 2001 23:33:33 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 03:10:00 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Medved",
"A. J. M.",
"",
"University of Alberta"
]
] | In this paper, we investigate the near-extremal thermodynamics of the Reissner-Nordstrom (RN) black hole. Our methodology is based on a duality that exists between the near-horizon geometry of the near-extremal RN sector and Jackiw-Teitelboim (JT) theory. First, the described correspondence is reviewed at the classical level. Next, we consider first-order perturbations in the dual JT geometry by incorporating a quantum scalar field into the formalism. The novelty of our approach is that the matter field is endowed with a 4-dimensional pedigree. We ultimately find that back-reaction effects prohibit the JT black hole from losing all of its mass. This outcome directly implies that an RN black hole can not reach extremality and, moreover, can not even come arbitrarily close to an extremal state. |
1001.5106 | Soonkeon Nam | Yongjoon Kwon and Soonkeon Nam | Area spectra of the rotating BTZ black hole from quasinormal modes | null | null | 10.1088/0264-9381/27/12/125007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following Bekenstein's suggestion that the horizon area of a black hole
should be quantized, the discrete spectrum of the horizon area has been
investigated in various ways. By considering the quasinormal mode of a black
hole, we obtain the transition frequency of the black hole, analogous to the
case of a hydrogen atom, in the semiclassical limit. According to Bohr's
correspondence principle, this transition frequency at large quantum number is
equal to classical oscillation frequency. For the corresponding classical
system of periodic motion with this oscillation frequency, an action variable
is identified and quantized via Bohr-Sommerfeld quantization, from which the
quantized spectrum of the horizon area is obtained. This method can be applied
for black holes with discrete quasinormal modes. As an example, we apply the
method for the both non-rotating and rotating BTZ black holes and obtain that
the spectrum of the horizon area is equally spaced and independent of the
cosmological constant for both cases.
| [
{
"created": "Thu, 28 Jan 2010 05:45:14 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Kwon",
"Yongjoon",
""
],
[
"Nam",
"Soonkeon",
""
]
] | Following Bekenstein's suggestion that the horizon area of a black hole should be quantized, the discrete spectrum of the horizon area has been investigated in various ways. By considering the quasinormal mode of a black hole, we obtain the transition frequency of the black hole, analogous to the case of a hydrogen atom, in the semiclassical limit. According to Bohr's correspondence principle, this transition frequency at large quantum number is equal to classical oscillation frequency. For the corresponding classical system of periodic motion with this oscillation frequency, an action variable is identified and quantized via Bohr-Sommerfeld quantization, from which the quantized spectrum of the horizon area is obtained. This method can be applied for black holes with discrete quasinormal modes. As an example, we apply the method for the both non-rotating and rotating BTZ black holes and obtain that the spectrum of the horizon area is equally spaced and independent of the cosmological constant for both cases. |
0707.1158 | Jose Barbon | Jose L.F. Barbon, Carlos A. Fuertes, Eliezer Rabinovici | Deconstructing the Little Hagedorn Holography | 47 pages, 10 figures | JHEP 0709:055,2007 | 10.1088/1126-6708/2007/09/055 | IFT UAM/CSIC-2007-37 | hep-th | null | We study aspects of the thermodynamics of Little String Theory, using its
geometrical definition in critical ten-dimensional string theory. We find that
bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in
contrast to the behaviour in the AdS system background. The resulting density
of states of the system, when stable, is described by a seven-dimensional
nonrelativistic gas. This requires modifications of the holographic Little
Hagedorn picture. Using deconstructions we suggest such modifications. The
model is embedded into a system which has an ultraviolet fixed point with an
AdS description. We investigate the thermodynamical properties of these UV
completed models. It is found that the Hagedorn regime survives in a finite
band of superheated states that eventually decay into the plasma phase of the
conformal field theory that serves as UV regulator. This is manifested in a
first-order phase transition that is driven by radiative corrections.
| [
{
"created": "Sun, 8 Jul 2007 21:39:52 GMT",
"version": "v1"
}
] | 2009-04-03 | [
[
"Barbon",
"Jose L. F.",
""
],
[
"Fuertes",
"Carlos A.",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] | We study aspects of the thermodynamics of Little String Theory, using its geometrical definition in critical ten-dimensional string theory. We find that bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in contrast to the behaviour in the AdS system background. The resulting density of states of the system, when stable, is described by a seven-dimensional nonrelativistic gas. This requires modifications of the holographic Little Hagedorn picture. Using deconstructions we suggest such modifications. The model is embedded into a system which has an ultraviolet fixed point with an AdS description. We investigate the thermodynamical properties of these UV completed models. It is found that the Hagedorn regime survives in a finite band of superheated states that eventually decay into the plasma phase of the conformal field theory that serves as UV regulator. This is manifested in a first-order phase transition that is driven by radiative corrections. |
0803.3621 | Thomas Hartman | Thomas Hartman, Andrew Strominger | Central Charge for AdS_2 Quantum Gravity | null | JHEP 0904:026,2009 | 10.1088/1126-6708/2009/04/026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$
and a constant electric field E is studied. In conformal gauge, this is
equivalent to a CFT on a strip. In order to maintain consistent boundary
conditions, the usual conformal diffeomorphisms must be accompanied by a
certain U(1) gauge transformation. The resulting conformal transformations are
generated by a twisted stress tensor, which has a central charge $c={3k E^2
\ell^4/4}$ where k is the level of the U(1) current. This is an AdS_2 analog of
the Brown-Henneaux formula $c = 3\ell/2G$ for the central charge of quantum
gravity on AdS_3.
| [
{
"created": "Tue, 25 Mar 2008 20:01:28 GMT",
"version": "v1"
}
] | 2009-04-17 | [
[
"Hartman",
"Thomas",
""
],
[
"Strominger",
"Andrew",
""
]
] | Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$ and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress tensor, which has a central charge $c={3k E^2 \ell^4/4}$ where k is the level of the U(1) current. This is an AdS_2 analog of the Brown-Henneaux formula $c = 3\ell/2G$ for the central charge of quantum gravity on AdS_3. |
hep-th/0010285 | Antonio Paulo Baeta Scarpelli | A.P.B.Scarpelli, M. Sampaio, M.C.Nemes (UFMG-Brazil) | Consistency Relations for an Implicit n-dimensional Regularization
Scheme | 21 pages, LaTeX, to appear in Phys.Rev.D | Phys.Rev. D63 (2001) 046004 | 10.1103/PhysRevD.63.046004 | null | hep-th | null | We extend an implicit regularization scheme to be applicable in the
$n$-dimensional space-time. Within this scheme divergences involving parity
violating objects can be consistently treated without recoursing to dimensional
continuation. Special attention is paid to differences between integrals of the
same degree of divergence, typical of one loop calculations, which are in
principle undetermined. We show how to use symmetries in order to fix these
quantities consistently. We illustrate with examples in which regularization
plays a delicate role in order to both corroborate and elucidate the results in
the literature for the case of CPT violation in extended $QED_4$, topological
mass generation in 3-dimensional gauge theories and the Schwinger Model and its
chiral version.
| [
{
"created": "Tue, 31 Oct 2000 10:43:19 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jan 2001 15:59:41 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Scarpelli",
"A. P. B.",
"",
"UFMG-Brazil"
],
[
"Sampaio",
"M.",
"",
"UFMG-Brazil"
],
[
"Nemes",
"M. C.",
"",
"UFMG-Brazil"
]
] | We extend an implicit regularization scheme to be applicable in the $n$-dimensional space-time. Within this scheme divergences involving parity violating objects can be consistently treated without recoursing to dimensional continuation. Special attention is paid to differences between integrals of the same degree of divergence, typical of one loop calculations, which are in principle undetermined. We show how to use symmetries in order to fix these quantities consistently. We illustrate with examples in which regularization plays a delicate role in order to both corroborate and elucidate the results in the literature for the case of CPT violation in extended $QED_4$, topological mass generation in 3-dimensional gauge theories and the Schwinger Model and its chiral version. |
1708.07243 | Viktor Jahnke | Viktor Jahnke | Delocalizing Entanglement of Anisotropic Black Branes | 34 pages, 10 figures. V2: typos corrected and references added.
Analysis extended to higher anisotropies. Figures 3, 6(a) and 8(b) replaced
to include higher anisotropies. Figures 6(b), 7(a) and 7(b) replaced to
improve visualization. Minor changes in the end of the abstract and
introduction. Two figures added in App. C. Discussion and App.C expanded. V3:
Matches published version | JHEP01(2018) 2018: 102 | 10.1007/JHEP01(2018)102 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the mutual information between pairs of regions on the two
asymptotic boundaries of maximally-extended anisotropic black-brane solutions.
This quantity characterizes the local pattern of entanglement of thermofield
double states which are dual to these geometries. We analyse the disruption of
the mutual information in anisotropic shock wave geometries and show that the
entanglement velocity plays an important role in this phenomenon. Besides that
we compute several chaos-related properties of this system, like the
entanglement velocity, the butterfly velocity and the scrambling time. We find
that the butterfly velocity and the entanglement velocity violate the upper
bounds proposed in 1311.1200 and 1612.00082, but remain bounded by their
corresponding values in the infrared effective theory.
| [
{
"created": "Thu, 24 Aug 2017 01:36:44 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2017 02:35:15 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jan 2018 21:01:12 GMT",
"version": "v3"
}
] | 2018-01-29 | [
[
"Jahnke",
"Viktor",
""
]
] | We study the mutual information between pairs of regions on the two asymptotic boundaries of maximally-extended anisotropic black-brane solutions. This quantity characterizes the local pattern of entanglement of thermofield double states which are dual to these geometries. We analyse the disruption of the mutual information in anisotropic shock wave geometries and show that the entanglement velocity plays an important role in this phenomenon. Besides that we compute several chaos-related properties of this system, like the entanglement velocity, the butterfly velocity and the scrambling time. We find that the butterfly velocity and the entanglement velocity violate the upper bounds proposed in 1311.1200 and 1612.00082, but remain bounded by their corresponding values in the infrared effective theory. |
hep-th/0411150 | Igor Kondrashuk | Igor Kondrashuk and Ivan Schmidt | Finiteness of N =4 super-Yang-Mills effective action in terms of dressed
N =1 superfields | 18 pages, revised version, references added | Particles 6 (2023) 4, 993-1008 | 10.3390/particles6040063 | USM-TH-161 | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We argue in favor of the independence on any scale, ultraviolet or infrared,
in kernels of the effective action expressed in terms of dressed ${\cal N} =1$
superfields for the case of ${\cal N} =4$ super-Yang--Mills theory. Under
``scale independence '' of the effective action of dressed mean superfields we
mean its `` finiteness in the off-shell limit of removing all the
regularizations.'' This off-shell limit is scale independent because no scale
remains inside these kernels after removing the regularizations. We use two
types of regularization: regularization by dimensional reduction and
regularization by higher derivatives in its supersymmetric form. Based on the
Slavnov-Taylor identity we show that dressed fields of matter and of vector
multiplets can be introduced to express the effective action in terms of them.
Kernels of the effective action expressed in terms of such dressed effective
fields do not depend on the ultraviolet scale. In the case of dimensional
reduction, by using the developed technique we show how the problem of
inconsistency of the dimensional reduction can be solved. Using Piguet and
Sibold formalism, we indicate that the dependence on the infrared scale
disappears off shell in both the regularizations.
| [
{
"created": "Tue, 16 Nov 2004 12:24:15 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2005 21:57:48 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Sep 2006 15:08:23 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Sep 2023 22:30:15 GMT",
"version": "v4"
}
] | 2023-11-10 | [
[
"Kondrashuk",
"Igor",
""
],
[
"Schmidt",
"Ivan",
""
]
] | We argue in favor of the independence on any scale, ultraviolet or infrared, in kernels of the effective action expressed in terms of dressed ${\cal N} =1$ superfields for the case of ${\cal N} =4$ super-Yang--Mills theory. Under ``scale independence '' of the effective action of dressed mean superfields we mean its `` finiteness in the off-shell limit of removing all the regularizations.'' This off-shell limit is scale independent because no scale remains inside these kernels after removing the regularizations. We use two types of regularization: regularization by dimensional reduction and regularization by higher derivatives in its supersymmetric form. Based on the Slavnov-Taylor identity we show that dressed fields of matter and of vector multiplets can be introduced to express the effective action in terms of them. Kernels of the effective action expressed in terms of such dressed effective fields do not depend on the ultraviolet scale. In the case of dimensional reduction, by using the developed technique we show how the problem of inconsistency of the dimensional reduction can be solved. Using Piguet and Sibold formalism, we indicate that the dependence on the infrared scale disappears off shell in both the regularizations. |
0708.3845 | Ashish Saxena | Stefano Giusto, Simon F. Ross and Ashish Saxena | Non-supersymmetric microstates of the D1-D5-KK system | 39 pages, LaTeX, references added; v2: minor clarifications added in
section 3 | JHEP 0712:065,2007 | 10.1088/1126-6708/2007/12/065 | null | hep-th | null | We construct a discrete family of smooth non-supersymmetric three charge
geometries carrying D1 brane, D5 brane and Kaluza-Klein monopole charges in
Type IIB supergravity compactified on a six-torus, which can be interpreted as
the geometric description of some special states of the brane system. These
solutions are asymptotically flat in four dimensions, and generalise previous
supersymmetric solutions. The solutions have a qualitatively similar structure
to previous non-supersymmetric smooth solutions carrying D1 and D5 brane
charges in five dimensions, and indeed can be viewed as the five-dimensional
system placed at the core of a Kaluza-Klein monopole. The geometries are
smooth, free of horizons and do not have closed timelike curves. One notable
difference from the five-dimensional case is that the four-dimensional geometry
has no ergoregion.
| [
{
"created": "Tue, 28 Aug 2007 19:51:50 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2007 09:07:07 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Dec 2007 14:26:30 GMT",
"version": "v3"
}
] | 2009-04-03 | [
[
"Giusto",
"Stefano",
""
],
[
"Ross",
"Simon F.",
""
],
[
"Saxena",
"Ashish",
""
]
] | We construct a discrete family of smooth non-supersymmetric three charge geometries carrying D1 brane, D5 brane and Kaluza-Klein monopole charges in Type IIB supergravity compactified on a six-torus, which can be interpreted as the geometric description of some special states of the brane system. These solutions are asymptotically flat in four dimensions, and generalise previous supersymmetric solutions. The solutions have a qualitatively similar structure to previous non-supersymmetric smooth solutions carrying D1 and D5 brane charges in five dimensions, and indeed can be viewed as the five-dimensional system placed at the core of a Kaluza-Klein monopole. The geometries are smooth, free of horizons and do not have closed timelike curves. One notable difference from the five-dimensional case is that the four-dimensional geometry has no ergoregion. |
hep-th/9611099 | Eric Bergshoeff | E. Bergshoeff | p-Branes, D-Branes and M-Branes | 8 pages, latex, uses sprocl.sty; talk given at the Workshop on Gauge
Theories, Applied Supersymmetry and Quantum Gravity (London, July 1996) and
the Strings '96 conference, ``Current Trends in String Theory'' (Santa
Barbara, July 1996) | null | 10.1142/9781848160927_0010 | null | hep-th | null | We consider solutions to the string effective action corresponding to
p-Branes, D-Branes and M-Branes and discuss some of their properties.
| [
{
"created": "Wed, 13 Nov 1996 14:33:39 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Bergshoeff",
"E.",
""
]
] | We consider solutions to the string effective action corresponding to p-Branes, D-Branes and M-Branes and discuss some of their properties. |
hep-th/9304125 | Laszlo Feher | L. Feher, L. O'Raifeartaigh, P. Ruelle and I. Tsutsui | On the Completeness of the Set of Classical W-Algebras Obtained from DS
Reductions | 48 pages, plain TeX, BONN-HE-93-14, DIAS-STP-93-02 | Commun.Math.Phys. 162 (1994) 399-432 | 10.1007/BF02102024 | null | hep-th | null | We clarify the notion of the DS --- generalized Drinfeld-Sokolov ---
reduction approach to classical ${\cal W}$-algebras. We first strengthen an
earlier theorem which showed that an $sl(2)$ embedding ${\cal S}\subset {\cal
G}$ can be associated to every DS reduction. We then use the fact that a
$\W$-algebra must have a quasi-primary basis to derive severe restrictions on
the possible reductions corresponding to a given $sl(2)$ embedding. In the
known DS reductions found to date, for which the $\W$-algebras are denoted by
${\cal W}_{\cal S}^{\cal G}$-algebras and are called canonical, the
quasi-primary basis corresponds to the highest weights of the $sl(2)$. Here we
find some examples of noncanonical DS reductions leading to $\W$-algebras which
are direct products of ${\cal W}_{\cal S}^{\cal G}$-algebras and `free field'
algebras with conformal weights $\Delta \in \{0, {1\over 2}, 1\}$. We also show
that if the conformal weights of the generators of a ${\cal W}$-algebra
obtained from DS reduction are nonnegative $\Delta \geq 0$ (which is
| [
{
"created": "Mon, 26 Apr 1993 12:01:09 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Sep 1993 18:20:20 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Feher",
"L.",
""
],
[
"O'Raifeartaigh",
"L.",
""
],
[
"Ruelle",
"P.",
""
],
[
"Tsutsui",
"I.",
""
]
] | We clarify the notion of the DS --- generalized Drinfeld-Sokolov --- reduction approach to classical ${\cal W}$-algebras. We first strengthen an earlier theorem which showed that an $sl(2)$ embedding ${\cal S}\subset {\cal G}$ can be associated to every DS reduction. We then use the fact that a $\W$-algebra must have a quasi-primary basis to derive severe restrictions on the possible reductions corresponding to a given $sl(2)$ embedding. In the known DS reductions found to date, for which the $\W$-algebras are denoted by ${\cal W}_{\cal S}^{\cal G}$-algebras and are called canonical, the quasi-primary basis corresponds to the highest weights of the $sl(2)$. Here we find some examples of noncanonical DS reductions leading to $\W$-algebras which are direct products of ${\cal W}_{\cal S}^{\cal G}$-algebras and `free field' algebras with conformal weights $\Delta \in \{0, {1\over 2}, 1\}$. We also show that if the conformal weights of the generators of a ${\cal W}$-algebra obtained from DS reduction are nonnegative $\Delta \geq 0$ (which is |
hep-th/9301109 | null | E. Abdalla, A.C.V.V. de Siqueira | String inspired effective Lagrangian and Inflationary Universe | 4 pages. Figures may be obtained from the authors | null | null | null | hep-th | null | We consider a string inspired effective Lagrangian for the graviton and
dilaton, containing Einstein gravity at the zero slope limit. The numerical
solution of the problem shows asymptotically an inflationary universe. The time
is measured by the dilaton, as one expects. The result is independent of the
introduction of ad-hoc self interactions for the dilaton field.
| [
{
"created": "Tue, 26 Jan 1993 18:24:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abdalla",
"E.",
""
],
[
"de Siqueira",
"A. C. V. V.",
""
]
] | We consider a string inspired effective Lagrangian for the graviton and dilaton, containing Einstein gravity at the zero slope limit. The numerical solution of the problem shows asymptotically an inflationary universe. The time is measured by the dilaton, as one expects. The result is independent of the introduction of ad-hoc self interactions for the dilaton field. |
hep-th/0412225 | Rabindra N. Mohapatra | J.L. Chkareuli, C.D. Froggatt, R.N. Mohapatra and H.B. Nielsen | Photon as a Vector Goldstone Boson: Nonlinear $\sigma $ Model for QED | Four pages, latex, no figures; references added and minor changes in
the text | null | null | null | hep-th hep-ph | null | We show that QED in the Coulomb gauge can be considered as a low energy
linear approximation of a non-linear $\sigma $-type model where the photon
emerges as a vector Goldstone boson related to the spontaneous breakdown of
Lorentz symmetry down to its spatial rotation subgroup at some high scale $M$.
Starting with a general massive vector field theory one naturally arrives at
this model if the pure spin-1 value for the vector field $A_{\mu}(x)$ provided
by the Lorentz condition $\partial_{\mu}A_{\mu}(x)=0$ is required. The model
coincides with conventional QED in the Coulomb gauge in the limit of M going to
infinity and generates a very particular form for the Lorentz and CPT symmetry
breaking terms, which are suppressed by powers of $M$.
| [
{
"created": "Mon, 20 Dec 2004 20:03:51 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Dec 2004 18:38:19 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Jan 2005 16:10:22 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Chkareuli",
"J. L.",
""
],
[
"Froggatt",
"C. D.",
""
],
[
"Mohapatra",
"R. N.",
""
],
[
"Nielsen",
"H. B.",
""
]
] | We show that QED in the Coulomb gauge can be considered as a low energy linear approximation of a non-linear $\sigma $-type model where the photon emerges as a vector Goldstone boson related to the spontaneous breakdown of Lorentz symmetry down to its spatial rotation subgroup at some high scale $M$. Starting with a general massive vector field theory one naturally arrives at this model if the pure spin-1 value for the vector field $A_{\mu}(x)$ provided by the Lorentz condition $\partial_{\mu}A_{\mu}(x)=0$ is required. The model coincides with conventional QED in the Coulomb gauge in the limit of M going to infinity and generates a very particular form for the Lorentz and CPT symmetry breaking terms, which are suppressed by powers of $M$. |
hep-th/0302164 | Kellogg S. Stelle | J. Kalkkinen and K.S. Stelle | Form-field Gauge Symmetry in M-theory | Contributed to 35th International Symposium Ahrenshoop on the theory
of Elementary Particles: Recent Developments in String / M Theory and Field
Theory, Berlin, Germany, 26-30 Aug 2002; 9pp, plain Latex | Fortsch.Phys. 51 (2003) 856-864 | 10.1002/prop.200310108 | Imperial/TP/02-03/13 | hep-th | null | We show how to cast an interacting system of M--branes into manifestly
gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces.
Classical M--theory has a cohomologically nontrivial and noncommutative set of
gauge symmetries when written using a ``doubled'' formalism containing 3-form
and 6-form gauge fields. We show how the arrangement of Dirac surfaces allows
an integral subgroup of these symmetries to be preserved at the quantum level.
The proper context for discussing these large gauge transformations is relative
cohomology, in which the 3-form transformation parameters become exact when
restricted to the five-brane worldvolume. This structure yields the correct
lattice of M-theory brane charges.
| [
{
"created": "Thu, 20 Feb 2003 19:09:55 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kalkkinen",
"J.",
""
],
[
"Stelle",
"K. S.",
""
]
] | We show how to cast an interacting system of M--branes into manifestly gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M--theory has a cohomologically nontrivial and noncommutative set of gauge symmetries when written using a ``doubled'' formalism containing 3-form and 6-form gauge fields. We show how the arrangement of Dirac surfaces allows an integral subgroup of these symmetries to be preserved at the quantum level. The proper context for discussing these large gauge transformations is relative cohomology, in which the 3-form transformation parameters become exact when restricted to the five-brane worldvolume. This structure yields the correct lattice of M-theory brane charges. |
hep-th/0112092 | Fedele Lizzi | J.M. Gracia-Bondia, F. Lizzi, G. Marmo, P. Vitale | Infinitely many star products to play with | LaTeX, 36 pages. Minor corrections, references added | JHEP0204:026,2002 | 10.1088/1126-6708/2002/04/026 | DSF-40-01, BiBoS 01-12069, ESI 1109 | hep-th gr-qc math-ph math.MP math.OA math.QA | null | While there has been growing interest for noncommutative spaces in recent
times, most examples have been based on the simplest noncommutative algebra:
[x_i,x_j]=i theta_{ij}. Here we present new classes of (non-formal) deformed
products associated to linear Lie algebras of the kind [x_i,x_j]=ic_{ij}^k x_k.
For all possible three-dimensional cases, we define a new star product and
discuss its properties. To complete the analysis of these novel noncommutative
spaces, we introduce noncompact spectral triples, and the concept of star
triple, a specialization of the spectral triple to deformations of the algebra
of functions on a noncompact manifold. We examine the generalization to the
noncompact case of Connes' conditions for noncommutative spin geometries, and,
in the framework of the new star products, we exhibit some candidates for a
Dirac operator. On the technical level, properties of the Moyal multiplier
algebra M(R_\theta^{2n) are elucidated.
| [
{
"created": "Tue, 11 Dec 2001 18:48:01 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2001 17:48:25 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gracia-Bondia",
"J. M.",
""
],
[
"Lizzi",
"F.",
""
],
[
"Marmo",
"G.",
""
],
[
"Vitale",
"P.",
""
]
] | While there has been growing interest for noncommutative spaces in recent times, most examples have been based on the simplest noncommutative algebra: [x_i,x_j]=i theta_{ij}. Here we present new classes of (non-formal) deformed products associated to linear Lie algebras of the kind [x_i,x_j]=ic_{ij}^k x_k. For all possible three-dimensional cases, we define a new star product and discuss its properties. To complete the analysis of these novel noncommutative spaces, we introduce noncompact spectral triples, and the concept of star triple, a specialization of the spectral triple to deformations of the algebra of functions on a noncompact manifold. We examine the generalization to the noncompact case of Connes' conditions for noncommutative spin geometries, and, in the framework of the new star products, we exhibit some candidates for a Dirac operator. On the technical level, properties of the Moyal multiplier algebra M(R_\theta^{2n) are elucidated. |
hep-th/9907053 | B. Spence | B. Spence (QMW London) | Topological Born-Infeld Actions and D-Branes | 14 pages, LaTeX | null | null | QMW-PH-99-09 | hep-th | null | We propose that the effective field theories of certain wrapped D-branes are
given by topological actions based on Born-Infeld theory. In particular, we
present a Born-Infeld version of the Abelian Donaldson-Witten theory. We then
consider wrapping D3 branes on calibrated submanifolds and for the Calabi-Yau
four-fold case, discuss how the resulting theory could give rise to a
Born-Infeld version of the ampicheiral twisted N=4 super Yang-Mills topological
field theory.
| [
{
"created": "Thu, 8 Jul 1999 09:44:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Spence",
"B.",
"",
"QMW London"
]
] | We propose that the effective field theories of certain wrapped D-branes are given by topological actions based on Born-Infeld theory. In particular, we present a Born-Infeld version of the Abelian Donaldson-Witten theory. We then consider wrapping D3 branes on calibrated submanifolds and for the Calabi-Yau four-fold case, discuss how the resulting theory could give rise to a Born-Infeld version of the ampicheiral twisted N=4 super Yang-Mills topological field theory. |
1604.01266 | Tiago Adorno | T. C. Adorno, D. M. Gitman, A. E. Shabad | Coulomb field in a constant electromagnetic background | Updated version with an analysis within the Euler-Heisenberg
effective lagrangian. Refs. added. Version accepted in Phys. Rev. D | Phys. Rev. D 93, 125031 (2016) | 10.1103/PhysRevD.93.125031 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear Maxwell equations are written up to the third-power deviations from
a constant-field background, valid within any local nonlinear electrodynamics
including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear
electric response to an imposed static finite-sized charge is found in the
vacuum filled by an arbitrary combination of constant and homogeneous electric
and magnetic fields. The modified Coulomb field and corrections to the total
charge and to the charge density are given in terms of derivatives of the
effective Lagrangian with respect to the field invariants. These are
specialized for the EH Lagrangian.
| [
{
"created": "Tue, 5 Apr 2016 14:15:16 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jun 2016 12:37:32 GMT",
"version": "v2"
}
] | 2016-07-01 | [
[
"Adorno",
"T. C.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shabad",
"A. E.",
""
]
] | Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric response to an imposed static finite-sized charge is found in the vacuum filled by an arbitrary combination of constant and homogeneous electric and magnetic fields. The modified Coulomb field and corrections to the total charge and to the charge density are given in terms of derivatives of the effective Lagrangian with respect to the field invariants. These are specialized for the EH Lagrangian. |
1112.0578 | Keith Copsey | Keith Copsey and Robert B. Mann | Hidden singularities and closed timelike curves in a proposed dual for
Lifshitz-Chern-Simons gauge theories | 3 pages, letter style, 1 figure | null | 10.1103/PhysRevD.85.121902 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that the metrics recently proposed by K. Balasubramanian and J.
McGreevy \cite{BalaMcGreevyLifshitz} as gravitational duals to Lifshitz
Chern-Simons gauge theories contain both a hidden null singularity and a region
of closed timelike curves accessible to asymptotic observers. Like the
singularity in the original Liftshitz spacetime given by Kachru, Liu, and
Mulligan, this singularity does not include large $\alpha'$ or $g_s$
corrections and hence appears to be singular in string theory as well as
classically.
| [
{
"created": "Fri, 2 Dec 2011 21:04:59 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Copsey",
"Keith",
""
],
[
"Mann",
"Robert B.",
""
]
] | We point out that the metrics recently proposed by K. Balasubramanian and J. McGreevy \cite{BalaMcGreevyLifshitz} as gravitational duals to Lifshitz Chern-Simons gauge theories contain both a hidden null singularity and a region of closed timelike curves accessible to asymptotic observers. Like the singularity in the original Liftshitz spacetime given by Kachru, Liu, and Mulligan, this singularity does not include large $\alpha'$ or $g_s$ corrections and hence appears to be singular in string theory as well as classically. |
1707.06609 | Ehsan Hatefi | Ehsan Hatefi | Highly Symmetric D-brane-Anti-D-brane Effective Actions | 20 pages.TUW-17-09. The 1st version is accepted to be published by
JHEP | JHEP 1709 (2017) 025 | 10.1007/JHEP09(2017)025 | TUW-17-09 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entire S-matrix elements of four, five and six point functions of
D-brane-anti D-brane system are explored. To deal with symmetries of string
amplitudes as well as their all order $\alpha'$ corrections we first address a
four point function of one closed string Ramond-Ramond (RR) and two real
tachyons on the world volume of brane-anti brane system. We then focus on
symmetries of string theory as well as universal tachyon expansion to achieve
both string and effective field theory of an RR and three tachyons where the
complete algebraic analysis for the whole S-matrix $<V_{C^{-1}} V_{T^{-1}}
V_{T^{0}}V_{T^{0}} >$ was also revealed. Lastly, we employ all the conformal
field theory techniques to $<V_{C^{-1}} V_{T^{-1}} V_{T^{0}}V_{T^{0}}
V_{T^{0}}>$, working out with symmetries of theory and find out the expansion
for the amplitude to be able to precisely discover all order singularity
structures of D-brane-anti-D-brane effective actions of string theory. Various
remarks about the so called generalized Veneziano amplitude and new string
couplings are elaborated as well.
| [
{
"created": "Thu, 20 Jul 2017 16:58:58 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2017 09:42:40 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Hatefi",
"Ehsan",
""
]
] | The entire S-matrix elements of four, five and six point functions of D-brane-anti D-brane system are explored. To deal with symmetries of string amplitudes as well as their all order $\alpha'$ corrections we first address a four point function of one closed string Ramond-Ramond (RR) and two real tachyons on the world volume of brane-anti brane system. We then focus on symmetries of string theory as well as universal tachyon expansion to achieve both string and effective field theory of an RR and three tachyons where the complete algebraic analysis for the whole S-matrix $<V_{C^{-1}} V_{T^{-1}} V_{T^{0}}V_{T^{0}} >$ was also revealed. Lastly, we employ all the conformal field theory techniques to $<V_{C^{-1}} V_{T^{-1}} V_{T^{0}}V_{T^{0}} V_{T^{0}}>$, working out with symmetries of theory and find out the expansion for the amplitude to be able to precisely discover all order singularity structures of D-brane-anti-D-brane effective actions of string theory. Various remarks about the so called generalized Veneziano amplitude and new string couplings are elaborated as well. |
1605.03748 | Richard Szabo | Zoltan Kokenyesi, Annamaria Sinkovics and Richard J. Szabo | Chiral expansion and Macdonald deformation of two-dimensional Yang-Mills
theory | 45 pages; v2: References added | null | 10.1002/prop.201600087 | EMPG-16-11 | hep-th math-ph math.AG math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the analog of the large $N$ Gross-Taylor holomorphic string
expansion for the refinement of $q$-deformed $U(N)$ Yang-Mills theory on a
compact oriented Riemann surface. The derivation combines Schur-Weyl duality
for quantum groups with the Etingof-Kirillov theory of generalized quantum
characters which are related to Macdonald polynomials. In the unrefined limit
we reproduce the chiral expansion of $q$-deformed Yang-Mills theory derived by
de Haro, Ramgoolam and Torrielli. In the classical limit $q=1$, the expansion
defines a new $\beta$-deformation of Hurwitz theory wherein the refined
partition function is a generating function for certain parameterized Euler
characters, which reduce in the unrefined limit $\beta=1$ to the orbifold Euler
characteristics of Hurwitz spaces of holomorphic maps. We discuss the
geometrical meaning of our expansions in relation to quantum spectral curves
and $\beta$-ensembles of matrix models arising in refined topological string
theory.
| [
{
"created": "Thu, 12 May 2016 10:29:37 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2016 12:14:40 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Kokenyesi",
"Zoltan",
""
],
[
"Sinkovics",
"Annamaria",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We derive the analog of the large $N$ Gross-Taylor holomorphic string expansion for the refinement of $q$-deformed $U(N)$ Yang-Mills theory on a compact oriented Riemann surface. The derivation combines Schur-Weyl duality for quantum groups with the Etingof-Kirillov theory of generalized quantum characters which are related to Macdonald polynomials. In the unrefined limit we reproduce the chiral expansion of $q$-deformed Yang-Mills theory derived by de Haro, Ramgoolam and Torrielli. In the classical limit $q=1$, the expansion defines a new $\beta$-deformation of Hurwitz theory wherein the refined partition function is a generating function for certain parameterized Euler characters, which reduce in the unrefined limit $\beta=1$ to the orbifold Euler characteristics of Hurwitz spaces of holomorphic maps. We discuss the geometrical meaning of our expansions in relation to quantum spectral curves and $\beta$-ensembles of matrix models arising in refined topological string theory. |
hep-th/9407174 | null | F.A.Lunev | Differential Equations for Definition and Evaluation of Feynman
Integrals | pages, LaTEX, MSU-PHYS-HEP-Lu2/94 | Phys.Rev. D50 (1994) 6589-6593 | 10.1103/PhysRevD.50.6589 | null | hep-th | null | It is shown that every Feynman integral can be interpreted as Green function
of some linear differential operator with constant coefficients. This
definition is equivalent to usual one but needs no regularization and
application of $R$-operation. It is argued that presented formalism is
convenient for practical calculations of Feynman integrals.
| [
{
"created": "Tue, 26 Jul 1994 07:15:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Lunev",
"F. A.",
""
]
] | It is shown that every Feynman integral can be interpreted as Green function of some linear differential operator with constant coefficients. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that presented formalism is convenient for practical calculations of Feynman integrals. |
hep-th/9305005 | null | L.Bonora and C.S.Xiong | Multi-field representations of KP hierarchies and multi-matrix models | 14 pages, LaTeX, SISSA 53/93/EP, ASITP 93-25 | Phys.Lett. B317 (1993) 329-340 | 10.1016/0370-2693(93)91004-7 | null | hep-th | null | We discuss the integrable hierarchies that appear in multi--matrix models.
They can be envisaged as multi--field representations of the KP hierarchy. We
then study the possible reductions of this systems via the Dirac reduction
method by suppressing successively one by one part of the fields. We find in
this way new integrable hierarchies, of which we are able to write the Lax pair
representations by means of suitable Drinfeld--Sokolov linear systems. At the
bottom of each reduction procedure we find an $N$--th KdV hierarchy. We discuss
in detail the case which leads to the KdV hierarchy and to the Boussinesque
hierarchy, as well as the general case in the dispersionless limit.
| [
{
"created": "Mon, 3 May 1993 17:11:05 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 1993 14:20:49 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Bonora",
"L.",
""
],
[
"Xiong",
"C. S.",
""
]
] | We discuss the integrable hierarchies that appear in multi--matrix models. They can be envisaged as multi--field representations of the KP hierarchy. We then study the possible reductions of this systems via the Dirac reduction method by suppressing successively one by one part of the fields. We find in this way new integrable hierarchies, of which we are able to write the Lax pair representations by means of suitable Drinfeld--Sokolov linear systems. At the bottom of each reduction procedure we find an $N$--th KdV hierarchy. We discuss in detail the case which leads to the KdV hierarchy and to the Boussinesque hierarchy, as well as the general case in the dispersionless limit. |
2208.04258 | Eyoab Bahiru | Eyoab Bahiru | Algebra of operators in an AdS-Rindler wedge | 12 pages. Several comments are made to emphasis the novel method
performed to renormalize the area of Ryu-Takayanagi surface. Some references
added. Corresponds to the published version on JHEP | J. High Energ. Phys. 2023, 197 (2023) | 10.1007/JHEP06(2023)197 | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We discuss the algebra of operators in AdS-Rinlder wedge, particularly in
AdS$_{5}$/CFT$_{4}$. We explicitly construct the algebra at $N=\infty$ limit
and discuss its Type III$_{1}$ nature. We will consider $1/N$ corrections to
the theory and using a novel way of renormalizing the area of Ryu-Takayanagi
surface, describe how several divergences can be renormalized and the algebra
becomes Type II$_{\infty}$. This will make it possible to associate a density
matrix to any state in the Hilbert space and thus a von Neumann entropy.
| [
{
"created": "Mon, 8 Aug 2022 16:41:32 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Aug 2022 09:03:44 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Jul 2023 18:16:00 GMT",
"version": "v3"
}
] | 2023-07-04 | [
[
"Bahiru",
"Eyoab",
""
]
] | We discuss the algebra of operators in AdS-Rinlder wedge, particularly in AdS$_{5}$/CFT$_{4}$. We explicitly construct the algebra at $N=\infty$ limit and discuss its Type III$_{1}$ nature. We will consider $1/N$ corrections to the theory and using a novel way of renormalizing the area of Ryu-Takayanagi surface, describe how several divergences can be renormalized and the algebra becomes Type II$_{\infty}$. This will make it possible to associate a density matrix to any state in the Hilbert space and thus a von Neumann entropy. |
1108.2608 | Lingfei Wang | Lingfei Wang | Preheating and locked inflation: an analytic approach towards parametric
resonance | 30 pages, 11 figures, revision accepted by JCAP | JCAP12(2011)018 | 10.1088/1475-7516/2011/12/018 | NIST-PHY-2011009 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We take an analytic approach towards the framework of parametric resonance
and apply it on preheating and locked inflation. A two-scalar toy model is
analytically solved for the \lambda\phi^2\chi^2 coupling for the homogenous
modes. The effects of dynamic universe background and backreaction are taken
into account. We show the average effect of parametric resonance to be that
\chi's amplitude doubles for each cycle of \phi.
Our framework partly solves the preheating scenario, showing two distinct
stages of preheating and making the parameters of preheating analytically
calculable. It is demonstrated for slowroll inflation models, preheating is
terminated, if by backreaction, typically in the 5th e-fold. Under our
framework, a possible inhomogeneity amplification effect is also found during
preheating, which both may pose strong constraints on some inflationary models
and may amplify tiny existing inhomogeneities to the desired scale. For
demonstration, we show it rules out the backreaction end of preheating of the
quadratic slowroll inflation model with mass m\sim10^{-6}. For locked
inflation, parametric resonance is found to be inhibited if \phi{} has more
than one real component.
| [
{
"created": "Fri, 12 Aug 2011 12:03:53 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2011 00:13:31 GMT",
"version": "v2"
}
] | 2011-12-22 | [
[
"Wang",
"Lingfei",
""
]
] | We take an analytic approach towards the framework of parametric resonance and apply it on preheating and locked inflation. A two-scalar toy model is analytically solved for the \lambda\phi^2\chi^2 coupling for the homogenous modes. The effects of dynamic universe background and backreaction are taken into account. We show the average effect of parametric resonance to be that \chi's amplitude doubles for each cycle of \phi. Our framework partly solves the preheating scenario, showing two distinct stages of preheating and making the parameters of preheating analytically calculable. It is demonstrated for slowroll inflation models, preheating is terminated, if by backreaction, typically in the 5th e-fold. Under our framework, a possible inhomogeneity amplification effect is also found during preheating, which both may pose strong constraints on some inflationary models and may amplify tiny existing inhomogeneities to the desired scale. For demonstration, we show it rules out the backreaction end of preheating of the quadratic slowroll inflation model with mass m\sim10^{-6}. For locked inflation, parametric resonance is found to be inhibited if \phi{} has more than one real component. |
1511.00713 | Jerome P. Gauntlett | Aristomenis Donos, Jerome P. Gauntlett, Tom Griffin and Luis Melgar | DC Conductivity of Magnetised Holographic Matter | 42 pages. Very minor changes. Published version | null | 10.1007/JHEP01(2016)113 | Imperial/TP/2015/JG/04, DCPT-15/61 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider general black hole solutions of Einstein-Maxwell-scalar theory
that are holographically dual to conformal field theories at finite charge
density with non-vanishing magnetic fields and local magnetisation currents,
which generically break translation invariance explicitly. We show that the
thermoelectric DC conductivity of the field theory can be obtained by solving a
system of generalised Stokes equations on the black hole horizon. For various
examples, including Q-lattices and one-dimensional lattices, we solve the
Stokes equations explicitly and obtain expressions for the DC conductivity in
terms of the solution at the black hole horizon.
| [
{
"created": "Mon, 2 Nov 2015 21:15:44 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2016 17:24:48 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Griffin",
"Tom",
""
],
[
"Melgar",
"Luis",
""
]
] | We consider general black hole solutions of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density with non-vanishing magnetic fields and local magnetisation currents, which generically break translation invariance explicitly. We show that the thermoelectric DC conductivity of the field theory can be obtained by solving a system of generalised Stokes equations on the black hole horizon. For various examples, including Q-lattices and one-dimensional lattices, we solve the Stokes equations explicitly and obtain expressions for the DC conductivity in terms of the solution at the black hole horizon. |
2406.17851 | Alvaro Herraez | Alvaro Herr\'aez, Dieter L\"ust, Joaquin Masias, Marco Scalisi | On the Origin of Species Thermodynamics and the Black Hole - Tower
Correspondence | 55 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Species thermodynamics has been proposed in analogy to black hole
thermodynamics. The entropy scales like an area and is given by the mere
counting of the number of the species. In this work, we $\textit{derive}$ the
rules of species thermodynamics and explain how those $\textit{originate}$ from
standard thermodynamics. We consider configurations of species in thermal
equilibrium inside a box of size $L$ and show that the temperature $T$ of the
system, which plays a crucial role, is always upper bounded by the species
scale $\Lambda_{\rm sp}$. We highlight three relevant regimes: (i) when
$L^{-1}< T<\Lambda_{\rm sp}$, and gravitational collapse is avoided, the system
exhibits standard thermodynamics features, for example, with the entropy
scaling like the volume of the box; (ii) in the limit $L^{-1}\simeq
T\rightarrow \Lambda_{\rm sp}$ we recover the rules of species thermodynamics
with the entropy scaling like the area of the box; (iii) an intermediate regime
with $ L^{-1}\simeq T< \Lambda_{\rm sp}$ that avoids gravitational collapse and
fulfills the Covariant Entropy Bound; this interpolates between the previous
two regimes and its entropy is given merely in terms of the counting of the
species contributing to the thermodynamic ensemble. This study also allows us
to find a novel and independent bottom-up rationale for the Emergent String
Conjecture. Finally, we propose the $\textit{Black Hole - Tower
Correspondence}$, a generalization of the celebrated Black Hole - String
Correspondence. This provides us with a robust framework to interpret the
results of our thermodynamic investigation. Moreover, it allows us to
qualitatively account for the entropy of black holes in terms of the degrees of
freedom of the weakly coupled species in the tower.
| [
{
"created": "Tue, 25 Jun 2024 18:00:02 GMT",
"version": "v1"
}
] | 2024-06-27 | [
[
"Herráez",
"Alvaro",
""
],
[
"Lüst",
"Dieter",
""
],
[
"Masias",
"Joaquin",
""
],
[
"Scalisi",
"Marco",
""
]
] | Species thermodynamics has been proposed in analogy to black hole thermodynamics. The entropy scales like an area and is given by the mere counting of the number of the species. In this work, we $\textit{derive}$ the rules of species thermodynamics and explain how those $\textit{originate}$ from standard thermodynamics. We consider configurations of species in thermal equilibrium inside a box of size $L$ and show that the temperature $T$ of the system, which plays a crucial role, is always upper bounded by the species scale $\Lambda_{\rm sp}$. We highlight three relevant regimes: (i) when $L^{-1}< T<\Lambda_{\rm sp}$, and gravitational collapse is avoided, the system exhibits standard thermodynamics features, for example, with the entropy scaling like the volume of the box; (ii) in the limit $L^{-1}\simeq T\rightarrow \Lambda_{\rm sp}$ we recover the rules of species thermodynamics with the entropy scaling like the area of the box; (iii) an intermediate regime with $ L^{-1}\simeq T< \Lambda_{\rm sp}$ that avoids gravitational collapse and fulfills the Covariant Entropy Bound; this interpolates between the previous two regimes and its entropy is given merely in terms of the counting of the species contributing to the thermodynamic ensemble. This study also allows us to find a novel and independent bottom-up rationale for the Emergent String Conjecture. Finally, we propose the $\textit{Black Hole - Tower Correspondence}$, a generalization of the celebrated Black Hole - String Correspondence. This provides us with a robust framework to interpret the results of our thermodynamic investigation. Moreover, it allows us to qualitatively account for the entropy of black holes in terms of the degrees of freedom of the weakly coupled species in the tower. |
hep-th/9408113 | Anatol Kirillov | Anatol N. Kirillov | Dilogarithm identities | 96 pages | Prog.Theor.Phys.Suppl.118:61-142,1995 | 10.1143/PTPS.118.61 | null | hep-th math.CA math.QA | null | We study the dilogarithm identities from algebraic, analytic, asymptotic,
$K$-theoretic, combinatorial and representation-theoretic points of view. We
prove that a lot of dilogarithm identities (hypothetically all !) can be
obtained by using the five-term relation only. Among those the Coxeter, Lewin,
Loxton and Browkin ones are contained. Accessibility of Lewin's one variable
and Ray's multivariable (here for $n\le 2$ only) functional equations is given.
For odd levels the $\hat{sl_2}$ case of Kuniba-Nakanishi's dilogarithm
conjecture is proven and additional results about remainder term are obtained.
The connections between dilogarithm identities and
Rogers-Ramanujan-Andrews-Gordon type partition identities via their asymptotic
behavior are discussed. Some new results about the string functions for level
$k$ vacuum representation of the affine Lie algebra $\hat{sl_n}$ are obtained.
Connection between dilogarithm identities and algebraic $K$-theory (torsion in
$K_3({\bf R})$) is discussed. Relations between crystal basis, branching
functions $b_{\lambda}^{k\Lambda_0}(q)$ and Kostka-Foulkes polynomials
(Lusztig's $q$-analog of weight multiplicity) are considered. The Melzer and
Milne conjectures are proven. In some special cases we are proving that the
branching functions $b_{\lambda}^{k\Lambda_0}(q)$ are equal to an appropriate
limit of Kostka polynomials (the so-called Thermodynamic Bethe Ansatz limit).
Connection between "finite-dimensional part of crystal base" and
Robinson-Schensted-Knuth correspondence is considered.
| [
{
"created": "Sat, 20 Aug 1994 06:10:21 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 1994 07:04:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kirillov",
"Anatol N.",
""
]
] | We study the dilogarithm identities from algebraic, analytic, asymptotic, $K$-theoretic, combinatorial and representation-theoretic points of view. We prove that a lot of dilogarithm identities (hypothetically all !) can be obtained by using the five-term relation only. Among those the Coxeter, Lewin, Loxton and Browkin ones are contained. Accessibility of Lewin's one variable and Ray's multivariable (here for $n\le 2$ only) functional equations is given. For odd levels the $\hat{sl_2}$ case of Kuniba-Nakanishi's dilogarithm conjecture is proven and additional results about remainder term are obtained. The connections between dilogarithm identities and Rogers-Ramanujan-Andrews-Gordon type partition identities via their asymptotic behavior are discussed. Some new results about the string functions for level $k$ vacuum representation of the affine Lie algebra $\hat{sl_n}$ are obtained. Connection between dilogarithm identities and algebraic $K$-theory (torsion in $K_3({\bf R})$) is discussed. Relations between crystal basis, branching functions $b_{\lambda}^{k\Lambda_0}(q)$ and Kostka-Foulkes polynomials (Lusztig's $q$-analog of weight multiplicity) are considered. The Melzer and Milne conjectures are proven. In some special cases we are proving that the branching functions $b_{\lambda}^{k\Lambda_0}(q)$ are equal to an appropriate limit of Kostka polynomials (the so-called Thermodynamic Bethe Ansatz limit). Connection between "finite-dimensional part of crystal base" and Robinson-Schensted-Knuth correspondence is considered. |
2012.15337 | Gergely G\'abor Barnaf\"oldi | Vakhtang Gogokhia, Gergely G\'abor Barnaf\"oldi | True Dynamical and Gauge Structures of the QCD Ground State and the
Singular Gluon Fileds | 38 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:1904.07748 | null | null | null | hep-th hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | We convincingly argue that the true dynamical and gauge structure of the QCD
ground state is much more complicated than its Lagrangian exact gauge symmetry
supposes to be. The dynamical source of these complications has been identified
with the tadpole/seagull term, which renormalized version called, the mass gap.
Its true dynamical role is hidden in the QCD ground state, but it is explicitly
present in the full gluon self-energy. To disclose it the splintering between
the transverse conditions for the full gluon self-energy and its subtracted
counterpart has been derived. The equation of motion for the full gluon
propagator on account of the mass gap was given, which allows to fix the
dynamical and gauge structures by a newly-introduced generalized gauge. A novel
non-perturbative analytical method, the mass gap approach was developed for QCD
and its groud state as well. We have discovered a general, non-perturbative
singular solution for the full gluon propagator valid in the whole gluon
momentum range, while dominating at large distances over all the other possible
solutions. It accommodates all the severe infrared singularities, which may
appear in the QCD ground state due to the self-interaction of massless gluon
modes. A corresponding non-pertubative multiplicative infrared renormalization
program has been formulated. The resulting full gluon propagator prevents
gluons to appear at large distances as physical states (confinement of color
gluons). Our approach also explains the scale violation in the asymptotic
freedom regime, and why the rising potential between heavy quarks is only
linear one.
| [
{
"created": "Wed, 30 Dec 2020 22:02:44 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2021 14:53:20 GMT",
"version": "v2"
}
] | 2021-05-13 | [
[
"Gogokhia",
"Vakhtang",
""
],
[
"Barnaföldi",
"Gergely Gábor",
""
]
] | We convincingly argue that the true dynamical and gauge structure of the QCD ground state is much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified with the tadpole/seagull term, which renormalized version called, the mass gap. Its true dynamical role is hidden in the QCD ground state, but it is explicitly present in the full gluon self-energy. To disclose it the splintering between the transverse conditions for the full gluon self-energy and its subtracted counterpart has been derived. The equation of motion for the full gluon propagator on account of the mass gap was given, which allows to fix the dynamical and gauge structures by a newly-introduced generalized gauge. A novel non-perturbative analytical method, the mass gap approach was developed for QCD and its groud state as well. We have discovered a general, non-perturbative singular solution for the full gluon propagator valid in the whole gluon momentum range, while dominating at large distances over all the other possible solutions. It accommodates all the severe infrared singularities, which may appear in the QCD ground state due to the self-interaction of massless gluon modes. A corresponding non-pertubative multiplicative infrared renormalization program has been formulated. The resulting full gluon propagator prevents gluons to appear at large distances as physical states (confinement of color gluons). Our approach also explains the scale violation in the asymptotic freedom regime, and why the rising potential between heavy quarks is only linear one. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.