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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1907.08734 | Shao-Jun Zhang | Yong Chen, Haitang Li and Shao-Jun Zhang | Chaos in Born-Infeld-AdS black hole within extended phase space | v1:15 pages, 8 figures; v2: minor modifications | General Relativity and Gravitation (2019) 51:134 | 10.1007/s10714-019-2612-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Born-Infeld-AdS black holes in extended phase space may possess phase
structures resembling that of van der Waals fluid in four-dimensional
spacetime. We study dynamics of its state, which is in the unstable spinodal
region initially on phase space, under time-periodic thermal perturbations. By
applying the Melnikov method, it is found that there exists a critical
amplitude $\gamma_c$ of the perturbations, which depends on the Born-Infeld
parameter $b$ and the black hole charge $Q$, such that chaos occurs for $\gamma
> \gamma_c$. We found that larger $b$ or $Q$ makes the onset of chaos easier.
Space-periodic thermal perturbations on its equilibrium state are also studied
and there is always chaos for whatever the perturbation amplitude is.
| [
{
"created": "Sat, 20 Jul 2019 01:23:16 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jul 2019 07:13:43 GMT",
"version": "v2"
}
] | 2019-10-21 | [
[
"Chen",
"Yong",
""
],
[
"Li",
"Haitang",
""
],
[
"Zhang",
"Shao-Jun",
""
]
] | Born-Infeld-AdS black holes in extended phase space may possess phase structures resembling that of van der Waals fluid in four-dimensional spacetime. We study dynamics of its state, which is in the unstable spinodal region initially on phase space, under time-periodic thermal perturbations. By applying the Melnikov method, it is found that there exists a critical amplitude $\gamma_c$ of the perturbations, which depends on the Born-Infeld parameter $b$ and the black hole charge $Q$, such that chaos occurs for $\gamma > \gamma_c$. We found that larger $b$ or $Q$ makes the onset of chaos easier. Space-periodic thermal perturbations on its equilibrium state are also studied and there is always chaos for whatever the perturbation amplitude is. |
hep-th/0511025 | Murat Gunaydin | M. Gunaydin, S. McReynolds and M. Zagermann | The R-map and the Coupling of N=2 Tensor Multiplets in 5 and 4
Dimensions | 42 pages;latex file | JHEP 0601:168,2006 | 10.1088/1126-6708/2006/01/168 | NSF-KITP-05-90 | hep-th | null | We study the dimensional reduction of five dimensional N=2
Yang-Mills-Einstein supergravity theories (YMESGT) coupled to tensor
multiplets. The resulting 4D theories involve first order interactions among
tensor and vector fields with mass terms. If the 5D gauge group, K, does not
mix the 5D tensor and vector fields, the 4D tensor fields can be integrated out
in favor of 4D vector fields and the resulting theory is dual to a standard 4D
YMESGT. The gauge group has a block diagonal symplectic embedding and is a
semi-direct product of the 5D gauge group K with a Heisenberg group of
dimension (2P+1), where 2P is the number of tensor fields in five dimensions.
There exists an infinite family of theories, thus obtained, whose gauge groups
are pp-wave contractions of the simple noncompact groups of type SO*(2M). If,
on the other hand, the 5D gauge group does mix the 5D tensor and vector fields,
the resulting 4D theory is dual to a 4D YMESGT whose gauge group does, in
general,NOT have a block diagonal symplectic embedding and involves additional
topological terms. The scalar potentials of the dimensionally reduced theories
naturally have some of the ingredients that were found necessary for stable de
Sitter ground states. We comment on the relation between the known 5D and 4D,
N=2 supergravities with stable de Sitter ground states.
| [
{
"created": "Wed, 2 Nov 2005 18:37:12 GMT",
"version": "v1"
}
] | 2011-02-09 | [
[
"Gunaydin",
"M.",
""
],
[
"McReynolds",
"S.",
""
],
[
"Zagermann",
"M.",
""
]
] | We study the dimensional reduction of five dimensional N=2 Yang-Mills-Einstein supergravity theories (YMESGT) coupled to tensor multiplets. The resulting 4D theories involve first order interactions among tensor and vector fields with mass terms. If the 5D gauge group, K, does not mix the 5D tensor and vector fields, the 4D tensor fields can be integrated out in favor of 4D vector fields and the resulting theory is dual to a standard 4D YMESGT. The gauge group has a block diagonal symplectic embedding and is a semi-direct product of the 5D gauge group K with a Heisenberg group of dimension (2P+1), where 2P is the number of tensor fields in five dimensions. There exists an infinite family of theories, thus obtained, whose gauge groups are pp-wave contractions of the simple noncompact groups of type SO*(2M). If, on the other hand, the 5D gauge group does mix the 5D tensor and vector fields, the resulting 4D theory is dual to a 4D YMESGT whose gauge group does, in general,NOT have a block diagonal symplectic embedding and involves additional topological terms. The scalar potentials of the dimensionally reduced theories naturally have some of the ingredients that were found necessary for stable de Sitter ground states. We comment on the relation between the known 5D and 4D, N=2 supergravities with stable de Sitter ground states. |
hep-th/9902138 | Alexander Strohmaier | H. Grosse, A. Strohmaier | Towards a Nonperturbative Covariant Regularization in 4D Quantum Field
Theory | 16 pages, 1 figure | Lett.Math.Phys. 48 (1999) 163-179 | null | UWThPh-5-1999 | hep-th | null | We give a noncommutative version of the complex projective space CP^2 and
show that scalar QFT on this space is free of UV divergencies. The tools
necessary to investigate Quantum fields on this fuzzy CP^2 are developed and
possibilities to introduce spinors and Dirac operators are discussed.
| [
{
"created": "Fri, 19 Feb 1999 13:56:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grosse",
"H.",
""
],
[
"Strohmaier",
"A.",
""
]
] | We give a noncommutative version of the complex projective space CP^2 and show that scalar QFT on this space is free of UV divergencies. The tools necessary to investigate Quantum fields on this fuzzy CP^2 are developed and possibilities to introduce spinors and Dirac operators are discussed. |
1403.7131 | Nikolay Bobev | Nikolay Bobev, Krzysztof Pilch, Orestis Vasilakis | (0,2) SCFTs from the Leigh-Strassler Fixed Point | 40 pages, 6 figures | JHEP 1406 (2014) 094 | 10.1007/JHEP06(2014)094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that there is a family of two-dimensional $(0,2)$ SCFTs associated
with twisted compactifications of the four-dimensional $\mathcal{N}=1$
Leigh-Strassler fixed point on a closed hyperbolic Riemann surface. We
calculate the central charges for this class of theories using anomalies and
$c$-extremization. In a suitable truncation of the five-dimensional maximal
supergravity, we construct supersymmetric $AdS_3$ solutions that are
holographic duals of those two-dimensional $(0,2)$ SCFTs. We also exhibit
supersymmetric domain wall solutions that are holographically dual to the RG
flows between the four-dimensional and two-dimensional theories.
| [
{
"created": "Thu, 27 Mar 2014 16:51:05 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Bobev",
"Nikolay",
""
],
[
"Pilch",
"Krzysztof",
""
],
[
"Vasilakis",
"Orestis",
""
]
] | We show that there is a family of two-dimensional $(0,2)$ SCFTs associated with twisted compactifications of the four-dimensional $\mathcal{N}=1$ Leigh-Strassler fixed point on a closed hyperbolic Riemann surface. We calculate the central charges for this class of theories using anomalies and $c$-extremization. In a suitable truncation of the five-dimensional maximal supergravity, we construct supersymmetric $AdS_3$ solutions that are holographic duals of those two-dimensional $(0,2)$ SCFTs. We also exhibit supersymmetric domain wall solutions that are holographically dual to the RG flows between the four-dimensional and two-dimensional theories. |
hep-th/0406009 | Agustin Sabio Vera | Jeppe R. Andersen (1) and Agustin Sabio Vera (2) ((1) Cambridge U. &
Cambridge U., DAMTP, (2) Hamburg U.) | The Gluon Green's Function in N=4 Supersymmetric Yang-Mills Theory | 15 pages, 9 figures. Replaced with new version, minor changes
included | Nucl.Phys. B699 (2004) 90-102 | 10.1016/j.nuclphysb.2004.08.027 | Cavendish-HEP-2004/11, DAMTP-2004-26, DESY 04-085 | hep-th hep-ph | null | The high energy limit of scattering amplitudes in the N=4 supersymmetric
Yang-Mills theory is studied by solving the corresponding BFKL equation in the
next-to-leading approximation. The gluon Green's function is analysed using a
newly proposed method suitable for investigating the contribution from higher
conformal spins. From this new approach complete agreement is obtained with the
results of Kotikov and Lipatov on conformal spins and angular dependence.
| [
{
"created": "Tue, 1 Jun 2004 13:27:47 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 2004 14:48:07 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Andersen",
"Jeppe R.",
""
],
[
"Vera",
"Agustin Sabio",
""
]
] | The high energy limit of scattering amplitudes in the N=4 supersymmetric Yang-Mills theory is studied by solving the corresponding BFKL equation in the next-to-leading approximation. The gluon Green's function is analysed using a newly proposed method suitable for investigating the contribution from higher conformal spins. From this new approach complete agreement is obtained with the results of Kotikov and Lipatov on conformal spins and angular dependence. |
hep-th/0004016 | Robert Brandenberger | Robert H. Brandenberger (Brown Univ.) | Back Reaction of Cosmological Perturbations | 9 pages, invited lecture at COSMO-99 (ICTP, Trieste, Sept. 27 - Oct.
2 1999) | null | 10.1142/9789812792129_0031 | BRWON-HET-1212 | hep-th astro-ph gr-qc hep-ph | null | The presence of cosmological perturbations affects the background metric and
matter configuration in which the perturbations propagate. This effect, studied
a long time ago for gravitational waves, also is operational for scalar
gravitational fluctuations, inhomogeneities which are believed to be more
important in inflationary cosmology. The back-reaction of fluctuations can be
described by an effective energy-momentum tensor. The issue of coordinate
invariance makes the analysis more complicated for scalar fluctuations than for
gravitational waves. We show that the back-reaction of fluctuations can be
described in a diffeomorphism-invariant way. In an inflationary cosmology, the
back-reaction is dominated by infrared modes. We show that these modes give a
contribution to the effective energy-momentum tensor of the form of a negative
cosmological constant whose absolute value grows in time. We speculate that
this may lead to a self-regulating dynamical relaxation mechanism for the
cosmological constant. This scenario would naturally lead to a finite remnant
cosmological constant with a magnitude corresponding to $\Omega_{\Lambda} \sim
1$.
| [
{
"created": "Tue, 4 Apr 2000 00:21:58 GMT",
"version": "v1"
}
] | 2016-11-03 | [
[
"Brandenberger",
"Robert H.",
"",
"Brown Univ."
]
] | The presence of cosmological perturbations affects the background metric and matter configuration in which the perturbations propagate. This effect, studied a long time ago for gravitational waves, also is operational for scalar gravitational fluctuations, inhomogeneities which are believed to be more important in inflationary cosmology. The back-reaction of fluctuations can be described by an effective energy-momentum tensor. The issue of coordinate invariance makes the analysis more complicated for scalar fluctuations than for gravitational waves. We show that the back-reaction of fluctuations can be described in a diffeomorphism-invariant way. In an inflationary cosmology, the back-reaction is dominated by infrared modes. We show that these modes give a contribution to the effective energy-momentum tensor of the form of a negative cosmological constant whose absolute value grows in time. We speculate that this may lead to a self-regulating dynamical relaxation mechanism for the cosmological constant. This scenario would naturally lead to a finite remnant cosmological constant with a magnitude corresponding to $\Omega_{\Lambda} \sim 1$. |
0811.2514 | Matilde Marcolli | Paolo Aluffi (FSU) and Matilde Marcolli (Caltech) | Algebro-geometric Feynman rules | 26 pages, LaTeX, 1 figure | Int.J.Geom.Meth.Mod.Phys.8:203-237,2011 | 10.1142/S0219887811005099 | null | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a general procedure to construct algebro-geometric Feynman rules,
that is, characters of the Connes-Kreimer Hopf algebra of Feynman graphs that
factor through a Grothendieck ring of immersed conical varieties, via the class
of the complement of the affine graph hypersurface. In particular, this maps to
the usual Grothendieck ring of varieties, defining motivic Feynman rules. We
also construct an algebro-geometric Feynman rule with values in a polynomial
ring, which does not factor through the usual Grothendieck ring, and which is
defined in terms of characteristic classes of singular varieties. This
invariant recovers, as a special value, the Euler characteristic of the
projective graph hypersurface complement. The main result underlying the
construction of this invariant is a formula for the characteristic classes of
the join of two projective varieties. We discuss the BPHZ renormalization
procedure in this algebro-geometric context and some motivic zeta functions
arising from the partition functions associated to motivic Feynman rules.
| [
{
"created": "Sat, 15 Nov 2008 18:14:28 GMT",
"version": "v1"
}
] | 2011-03-22 | [
[
"Aluffi",
"Paolo",
"",
"FSU"
],
[
"Marcolli",
"Matilde",
"",
"Caltech"
]
] | We give a general procedure to construct algebro-geometric Feynman rules, that is, characters of the Connes-Kreimer Hopf algebra of Feynman graphs that factor through a Grothendieck ring of immersed conical varieties, via the class of the complement of the affine graph hypersurface. In particular, this maps to the usual Grothendieck ring of varieties, defining motivic Feynman rules. We also construct an algebro-geometric Feynman rule with values in a polynomial ring, which does not factor through the usual Grothendieck ring, and which is defined in terms of characteristic classes of singular varieties. This invariant recovers, as a special value, the Euler characteristic of the projective graph hypersurface complement. The main result underlying the construction of this invariant is a formula for the characteristic classes of the join of two projective varieties. We discuss the BPHZ renormalization procedure in this algebro-geometric context and some motivic zeta functions arising from the partition functions associated to motivic Feynman rules. |
2009.03082 | Sven Bjarke Gudnason | Sven Bjarke Gudnason | Dielectric Skyrmions | LaTeX: 29 pages, 11 figures; V2: typos corrected | Phys. Rev. D 102, 116013 (2020) | 10.1103/PhysRevD.102.116013 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dielectric Skyrme model proposed recently, with and without
the addition of the standard pion mass term. Then we write down
Bogomol'nyi-type energy bounds for both the massless and massive cases. We
further show that, except for when taking the strict BPS limit, the Skyrmions
are made of 3 orthogonal dipoles that can always be placed in their attractive
channel and form bound states. Finally, we study the model numerically and
discover that, long before realistic binding energies are reached, the
Skyrmions become bound states of well-separated point-particle-like Skyrmions.
By going sufficiently close to the BPS limit, we are able to obtain classical
binding energies of realistic values compared with experiments.
| [
{
"created": "Mon, 7 Sep 2020 13:10:59 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2020 07:20:44 GMT",
"version": "v2"
}
] | 2020-12-21 | [
[
"Gudnason",
"Sven Bjarke",
""
]
] | We consider the dielectric Skyrme model proposed recently, with and without the addition of the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both the massless and massive cases. We further show that, except for when taking the strict BPS limit, the Skyrmions are made of 3 orthogonal dipoles that can always be placed in their attractive channel and form bound states. Finally, we study the model numerically and discover that, long before realistic binding energies are reached, the Skyrmions become bound states of well-separated point-particle-like Skyrmions. By going sufficiently close to the BPS limit, we are able to obtain classical binding energies of realistic values compared with experiments. |
1409.0542 | Julian Sonner | Michael Crossley, Ethan Dyer, Julian Sonner | Super-R\'enyi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals | 30+1 pages, 1 table; minor corrections, references added; matches
published version (JHEP) | null | 10.1007/JHEP12(2014)001 | MIT-CTP/4579 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the supersymmetric R\'enyi entropies across a spherical
entanglement surface in N=4 SU(N) SYM theory using localization on the
four-dimensional ellipsoid. We extract the leading result at large N and
\lambda, and match its universal part to a gravity calculation involving a
hyperbolically sliced supersymmetric black hole solution of N=4+ SU(2) X U(1)
gauged supergravity in five dimensions. We repeat the analysis in the presence
of a Wilson loop insertion and find again a perfect match with the dual string
theory. Understanding the Wilson loop operator requires knowledge of the full
ten-dimensional IIB supergravity solution which we elaborate upon.
| [
{
"created": "Mon, 1 Sep 2014 20:00:23 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Dec 2014 00:09:01 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Crossley",
"Michael",
""
],
[
"Dyer",
"Ethan",
""
],
[
"Sonner",
"Julian",
""
]
] | We compute the supersymmetric R\'enyi entropies across a spherical entanglement surface in N=4 SU(N) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and \lambda, and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of N=4+ SU(2) X U(1) gauged supergravity in five dimensions. We repeat the analysis in the presence of a Wilson loop insertion and find again a perfect match with the dual string theory. Understanding the Wilson loop operator requires knowledge of the full ten-dimensional IIB supergravity solution which we elaborate upon. |
1110.2015 | Alexander Zhidenko | R. A. Konoplya and A. Zhidenko | Stability of tardyons and tachyons in the rotating and expanding
Universe | 8 pages, revtex | Phys. Rev. D86 (2012) 023531 | 10.1103/PhysRevD.86.023531 | null | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper we analyze the spectrum of quasinormal modes for massive
scalar and Dirac fields, allowing for both tardyonic ($\mu^2 >0$) and tachyonic
($\mu^2 <0$) masses, in the expanding and rotating cosmological background. The
spectrum found shows a number of peculiar features, which are absent in the
Minkowski space-time. A hypothetical particle that moves faster than light,
\emph{a tachyon}, is known to be classically unstable in the Minkowski
space-time. This instability has its analog at the quantum level: small vacuum
fluctuations of the field lead to the unbounded growth of the amplitude, so
that the appearance of the real tachyons in the spectrum means that there is
catastrophic instability in the theory. It has been conjectured a long time ago
that possibly the lightest particles with nonzero mass, the neutrino, may be a
tachyon. Here we shall show that in the rotating and expanding Universe
tachyons are stable if their mass is less than some constant, which is related
to the Universe's rotation and expansion scales. The current upper bound on the
rotation scale gives us a very small upper bound on the tachyon's mass which is
many orders less than the mass of the electron. This might explain why only
very light particles have the chance of becoming tachyons. It is shown that the
spectrum of the "normal" ($\mu^2 >0$) Dirac field has a discontinuity as a
function of the z-component of the wave vector $k_z$ at $k_z = 0$. Keywords:
OPERA, superluminal neutrino.
| [
{
"created": "Mon, 10 Oct 2011 11:55:35 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Oct 2011 14:09:46 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2011 01:55:22 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Feb 2012 20:36:52 GMT",
"version": "v4"
},
{
"c... | 2012-08-28 | [
[
"Konoplya",
"R. A.",
""
],
[
"Zhidenko",
"A.",
""
]
] | In the present paper we analyze the spectrum of quasinormal modes for massive scalar and Dirac fields, allowing for both tardyonic ($\mu^2 >0$) and tachyonic ($\mu^2 <0$) masses, in the expanding and rotating cosmological background. The spectrum found shows a number of peculiar features, which are absent in the Minkowski space-time. A hypothetical particle that moves faster than light, \emph{a tachyon}, is known to be classically unstable in the Minkowski space-time. This instability has its analog at the quantum level: small vacuum fluctuations of the field lead to the unbounded growth of the amplitude, so that the appearance of the real tachyons in the spectrum means that there is catastrophic instability in the theory. It has been conjectured a long time ago that possibly the lightest particles with nonzero mass, the neutrino, may be a tachyon. Here we shall show that in the rotating and expanding Universe tachyons are stable if their mass is less than some constant, which is related to the Universe's rotation and expansion scales. The current upper bound on the rotation scale gives us a very small upper bound on the tachyon's mass which is many orders less than the mass of the electron. This might explain why only very light particles have the chance of becoming tachyons. It is shown that the spectrum of the "normal" ($\mu^2 >0$) Dirac field has a discontinuity as a function of the z-component of the wave vector $k_z$ at $k_z = 0$. Keywords: OPERA, superluminal neutrino. |
hep-th/0605186 | Jose Edelstein | Jose D. Edelstein, Jorge Zanelli | (Super-)Gravities of a different sort | 12 pages, jpconf.cls, prepared for the Fourth Meeting on Constrained
Dynamics and Quantum Gravity, Sardinia, Italy, 2-16 September 2005 | J.Phys.Conf.Ser.33:83,2006 | 10.1088/1742-6596/33/1/008 | null | hep-th | null | We review the often forgotten fact that gravitation theories invariant under
local de Sitter, anti-de Sitter or Poincare transformations can be constructed
in all odd dimensions. These theories belong to the Chern-Simons family and are
particular cases of the so-called Lovelock gravities, constructed as the
dimensional continuations of the lower dimensional Euler classes. The
supersymmetric extensions of these theories exist for the AdS and Poincare
groups, and the fields are components of a single connection for the
corresponding Lie algebras. In 11 dimensions these supersymmetric theories are
gauge theories for the osp(1|32) and the M algebra, respectively. The relation
between these new supergravities and the standard theories, as well as some of
their dynamical features are also discussed.
| [
{
"created": "Thu, 18 May 2006 14:10:48 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Edelstein",
"Jose D.",
""
],
[
"Zanelli",
"Jorge",
""
]
] | We review the often forgotten fact that gravitation theories invariant under local de Sitter, anti-de Sitter or Poincare transformations can be constructed in all odd dimensions. These theories belong to the Chern-Simons family and are particular cases of the so-called Lovelock gravities, constructed as the dimensional continuations of the lower dimensional Euler classes. The supersymmetric extensions of these theories exist for the AdS and Poincare groups, and the fields are components of a single connection for the corresponding Lie algebras. In 11 dimensions these supersymmetric theories are gauge theories for the osp(1|32) and the M algebra, respectively. The relation between these new supergravities and the standard theories, as well as some of their dynamical features are also discussed. |
1306.2618 | Dionisio Bazeia | D. Bazeia, A.S. Lobao Jr., L. Losano, R. Menezes | First-order formalism for flat branes in generalized N-field models | 10 pages, 10 figures | Phys. Rev. D 88 (2013) 045001 | 10.1103/PhysRevD.88.045001 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work deals with braneworld scenarios obtained from N real scalar fields,
whose dynamics is generalized to include higher order power in the derivative
of the fields. For the scalar fields being driven by nonstandard dynamics, we
show how a first-order formalism can be obtained for flat brane in the presence
of several fields. We then illustrate our findings investigating distinct
potentials with one and two fields, obtaining stable standard and compact
solutions in the braneworld theory. In particular, we have found different
models describing the very same warp factor.
| [
{
"created": "Tue, 11 Jun 2013 19:30:22 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2013 17:33:15 GMT",
"version": "v2"
}
] | 2013-08-06 | [
[
"Bazeia",
"D.",
""
],
[
"Lobao",
"A. S.",
"Jr."
],
[
"Losano",
"L.",
""
],
[
"Menezes",
"R.",
""
]
] | This work deals with braneworld scenarios obtained from N real scalar fields, whose dynamics is generalized to include higher order power in the derivative of the fields. For the scalar fields being driven by nonstandard dynamics, we show how a first-order formalism can be obtained for flat brane in the presence of several fields. We then illustrate our findings investigating distinct potentials with one and two fields, obtaining stable standard and compact solutions in the braneworld theory. In particular, we have found different models describing the very same warp factor. |
1011.1200 | Gabriele Veneziano | Daniele Dorigoni, Gabriele Veneziano, Jacek Wosiek | Dimensionally reduced SYM$_4$ at large-$N$: an intriguing Coulomb
approximation | 30 pages, 13 figures, Footnote page 3 replaced, Note Added at the
end, 4 References added | JHEP 1106:051,2011 | 10.1007/JHEP06(2011)051 | CERN-PH-TH/2010-240, IFUP-TH/2010-37, TPJU-3/2010, MPI-2010-137 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the light-cone (LC) gauge and LC quantization of the dimensional
reduction of super Yang Mills theory from four to two dimensions. After
integrating out all unphysical degrees of freedom, the non-local LC Hamiltonian
exhibits an explicit ${\cal N}=(2,2)$ supersymmetry. A further SUSY-preserving
compactification of LC-space on a torus of radius $R$, allows for a large-$N$
numerical study where the smooth large-$R$ limit of physical quantities can be
checked. As a first step, we consider a simple, yet quite rich, "Coulomb
approximation" that maintains an ${\cal N}=(1,1)$ subgroup of the original
supersymmetry and leads to a non-trivial generalization of 't Hooft's model
with an arbitrary --but conserved-- number of partons. We compute numerically
the eigenvalues and eigenvectors both in momentum and in position space. Our
results, so far limited to the sectors with 2, 3 and 4 partons, directly and
quantitatively confirm a simple physical picture in terms of a string-like
interaction with the expected tension among pairs of nearest-neighbours along
the single-trace characterizing the large-$N$ limit. Although broken by our
approximation, traces of the full ${\cal N}=(2,2)$ supersymmetry are still
visible in the low-lying spectrum.
| [
{
"created": "Thu, 4 Nov 2010 16:17:33 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Dec 2010 18:03:45 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Dorigoni",
"Daniele",
""
],
[
"Veneziano",
"Gabriele",
""
],
[
"Wosiek",
"Jacek",
""
]
] | We consider the light-cone (LC) gauge and LC quantization of the dimensional reduction of super Yang Mills theory from four to two dimensions. After integrating out all unphysical degrees of freedom, the non-local LC Hamiltonian exhibits an explicit ${\cal N}=(2,2)$ supersymmetry. A further SUSY-preserving compactification of LC-space on a torus of radius $R$, allows for a large-$N$ numerical study where the smooth large-$R$ limit of physical quantities can be checked. As a first step, we consider a simple, yet quite rich, "Coulomb approximation" that maintains an ${\cal N}=(1,1)$ subgroup of the original supersymmetry and leads to a non-trivial generalization of 't Hooft's model with an arbitrary --but conserved-- number of partons. We compute numerically the eigenvalues and eigenvectors both in momentum and in position space. Our results, so far limited to the sectors with 2, 3 and 4 partons, directly and quantitatively confirm a simple physical picture in terms of a string-like interaction with the expected tension among pairs of nearest-neighbours along the single-trace characterizing the large-$N$ limit. Although broken by our approximation, traces of the full ${\cal N}=(2,2)$ supersymmetry are still visible in the low-lying spectrum. |
2110.10157 | Alek Bedroya | Alek Bedroya, Yuta Hamada, Miguel Montero, Cumrun Vafa | Compactness of Brane Moduli and the String Lamppost Principle in $d>6$ | 35 pages, 3 figures, 6 tables; v2: Added references, minor
corrections | null | 10.1007/JHEP02(2022)082 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We demonstrate the validity of the String Lamppost Principle-that all
consistent theories of quantum gravity are in the String Landscape-for
supersymmetric theories in $d>6$ using compactness and connectedness of the
moduli space of small instantons, as well as the classification of the
associated Coulomb branch.
| [
{
"created": "Tue, 19 Oct 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Dec 2021 18:58:11 GMT",
"version": "v2"
}
] | 2022-03-02 | [
[
"Bedroya",
"Alek",
""
],
[
"Hamada",
"Yuta",
""
],
[
"Montero",
"Miguel",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We demonstrate the validity of the String Lamppost Principle-that all consistent theories of quantum gravity are in the String Landscape-for supersymmetric theories in $d>6$ using compactness and connectedness of the moduli space of small instantons, as well as the classification of the associated Coulomb branch. |
hep-th/9806233 | Gabriele Veneziano | A. Ghosh, G. Pollifrone and G. Veneziano (CERN) | Quantum Fluctuations in Open Pre-Big Bang Cosmology | 12 pages, ReVTeX, Discussion of relation to Ref.[8] modified | Phys.Lett. B440 (1998) 20-27 | 10.1016/S0370-2693(98)01087-9 | CERN-TH/98-199 | hep-th astro-ph gr-qc hep-ph | null | We solve exactly the (linear order) equations for tensor and scalar
perturbations over the homogeneous, isotropic, open pre-big bang model recently
discussed by several authors. We find that the parametric amplification of
vacuum fluctuations (i.e. particle production) remains negligible throughout
the perturbative pre-big bang phase.
| [
{
"created": "Mon, 29 Jun 1998 16:09:52 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 1998 14:03:02 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ghosh",
"A.",
"",
"CERN"
],
[
"Pollifrone",
"G.",
"",
"CERN"
],
[
"Veneziano",
"G.",
"",
"CERN"
]
] | We solve exactly the (linear order) equations for tensor and scalar perturbations over the homogeneous, isotropic, open pre-big bang model recently discussed by several authors. We find that the parametric amplification of vacuum fluctuations (i.e. particle production) remains negligible throughout the perturbative pre-big bang phase. |
1107.0501 | Carl Bender | Carl M. Bender and Philip D. Mannheim | PT symmetry in relativistic quantum mechanics | 18 pages, no figures | null | 10.1103/PhysRevD.84.105038 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In nonrelativistic quantum mechanics and in relativistic quantum field
theory, time t is a parameter and thus the time-reversal operator T does not
actually reverse the sign of t. However, in relativistic quantum mechanics the
time coordinate t and the space coordinates x are treated on an equal footing
and all are operators. In this paper it is shown how to extend PT symmetry from
nonrelativistic to relativistic quantum mechanics by implementing time reversal
as an operation that changes the sign of the time coordinate operator t. Some
illustrative relativistic quantum-mechanical models are constructed whose
associated Hamiltonians are non-Hermitian but PT symmetric, and it is shown
that for each such Hamiltonian the energy eigenvalues are all real.
| [
{
"created": "Sun, 3 Jul 2011 22:11:49 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Bender",
"Carl M.",
""
],
[
"Mannheim",
"Philip D.",
""
]
] | In nonrelativistic quantum mechanics and in relativistic quantum field theory, time t is a parameter and thus the time-reversal operator T does not actually reverse the sign of t. However, in relativistic quantum mechanics the time coordinate t and the space coordinates x are treated on an equal footing and all are operators. In this paper it is shown how to extend PT symmetry from nonrelativistic to relativistic quantum mechanics by implementing time reversal as an operation that changes the sign of the time coordinate operator t. Some illustrative relativistic quantum-mechanical models are constructed whose associated Hamiltonians are non-Hermitian but PT symmetric, and it is shown that for each such Hamiltonian the energy eigenvalues are all real. |
0812.4182 | Syksy Rasanen | Francesc Ferrer, Tuomas Multamaki and Syksy Rasanen | Fitting oscillating string gas cosmology to supernova data | 17 pages, 4 figures. v2: published version. Important correction in
the calculation of distances, added references | JHEP 0904:006,2009 | 10.1088/1126-6708/2009/04/006 | null | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In string gas cosmology, extra dimensions are stabilised by a gas of strings.
In the matter-dominated era, competition between matter pushing the extra
dimensions to expand and the string gas pulling them back can lead to
oscillations of the extra dimensions and acceleration in the visible
dimensions. We fit this model to supernova data, taking into account the Big
Bang Nucleosynthesis constraint on the energy density of the string gas. The
fit to the Union set of supernova data is acceptable, but the fit to the
ESSENCE data is poor.
| [
{
"created": "Mon, 22 Dec 2008 13:41:19 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 2009 13:31:57 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Ferrer",
"Francesc",
""
],
[
"Multamaki",
"Tuomas",
""
],
[
"Rasanen",
"Syksy",
""
]
] | In string gas cosmology, extra dimensions are stabilised by a gas of strings. In the matter-dominated era, competition between matter pushing the extra dimensions to expand and the string gas pulling them back can lead to oscillations of the extra dimensions and acceleration in the visible dimensions. We fit this model to supernova data, taking into account the Big Bang Nucleosynthesis constraint on the energy density of the string gas. The fit to the Union set of supernova data is acceptable, but the fit to the ESSENCE data is poor. |
1806.07735 | Sergei Vergeles | S.N. Vergeles | Existence of an effective fermion vertex to lattice gravity | 6 pages. arXiv admin note: text overlap with arXiv:1709.10001,
arXiv:1701.02173 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that an effective fermion vertex arises to lattice gravity
coupled with fermions. The vertices are associated with gravitational
instantons, much as the effective fermion vertices arising due to the existence
of fermion zero modes associated with instantons in the Yang-Mills theory.
| [
{
"created": "Wed, 20 Jun 2018 13:57:51 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2018 15:55:09 GMT",
"version": "v2"
}
] | 2018-07-05 | [
[
"Vergeles",
"S. N.",
""
]
] | It is shown that an effective fermion vertex arises to lattice gravity coupled with fermions. The vertices are associated with gravitational instantons, much as the effective fermion vertices arising due to the existence of fermion zero modes associated with instantons in the Yang-Mills theory. |
1912.00069 | Charles B. Thorn | Charles B. Thorn | Internal and Super Symmetry in String Bit Models | 19 pages, typos corrected | Phys. Rev. D 101, 046017 (2020) | 10.1103/PhysRevD.101.046017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study in a general way the construction of string bit Hamiltonians which
are supersymmetric, We construct several quadratic and quartic polynomials in
string bit creation and annihilation operators ${\bar\phi}^A_{a_1\cdots a_n}$,
${\phi}^A_{a_1\cdots a_n}$,which commute with the supersymmetry generators
$Q^a$. Among these operators are ones with the spinor tensor structure required
to provide the lightcone worldsheet vertex insertion factors needed to give the
correct interactions for the IIB superstring, whenever a closed string
separates into two closed strings or two closed strings join into one.
| [
{
"created": "Fri, 29 Nov 2019 21:06:38 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2020 21:02:39 GMT",
"version": "v2"
}
] | 2020-02-24 | [
[
"Thorn",
"Charles B.",
""
]
] | We study in a general way the construction of string bit Hamiltonians which are supersymmetric, We construct several quadratic and quartic polynomials in string bit creation and annihilation operators ${\bar\phi}^A_{a_1\cdots a_n}$, ${\phi}^A_{a_1\cdots a_n}$,which commute with the supersymmetry generators $Q^a$. Among these operators are ones with the spinor tensor structure required to provide the lightcone worldsheet vertex insertion factors needed to give the correct interactions for the IIB superstring, whenever a closed string separates into two closed strings or two closed strings join into one. |
1901.04799 | Alexey Litvinov | A. V. Litvinov | Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model
dual | null | null | 10.1134/S0021364019230048 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these notes we study the duality between sigma-models and Toda QFT's. We
claim that $\mathfrak{gl}(n|n)$ affine Toda field theory behaves in the strong
coupling limit as $\eta-$deformed $\mathbb{CP}(n-1)$ sigma-model plus a free
field.
| [
{
"created": "Tue, 15 Jan 2019 12:54:50 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Litvinov",
"A. V.",
""
]
] | In these notes we study the duality between sigma-models and Toda QFT's. We claim that $\mathfrak{gl}(n|n)$ affine Toda field theory behaves in the strong coupling limit as $\eta-$deformed $\mathbb{CP}(n-1)$ sigma-model plus a free field. |
2401.12338 | Miguel Pino | Kristiansen Lara, Miguel Pino, Francisco Reyes | 1/c deformations of AdS$_3$ boundary conditions and the Dym hierarchy | 37 pages, 1 figure | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | This work introduces a novel family of boundary conditions for AdS$_3$
General Relativity, constructed through a polynomial expansion in negative
integer powers of the Brown-Henneaux central charge. The associated dynamics is
governed by the Dym hierarchy of integrable equations. It is shown that the
infinite set of Dym conserved charges generates an abelian asymptotic symmetry
group. Additionally, these boundary conditions encompass black hole solutions,
whose thermodynamic properties are examined.
| [
{
"created": "Mon, 22 Jan 2024 20:06:52 GMT",
"version": "v1"
}
] | 2024-01-24 | [
[
"Lara",
"Kristiansen",
""
],
[
"Pino",
"Miguel",
""
],
[
"Reyes",
"Francisco",
""
]
] | This work introduces a novel family of boundary conditions for AdS$_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by the Dym hierarchy of integrable equations. It is shown that the infinite set of Dym conserved charges generates an abelian asymptotic symmetry group. Additionally, these boundary conditions encompass black hole solutions, whose thermodynamic properties are examined. |
2112.02060 | Jos\'e Gaite | Jose Gaite | Renormalization group and effective potential: a simple non-perturbative
approach | 36 pages, 1 figure; mass renormalization, comments, espec. on
symmetry breaking, references added | null | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a simple non-perturbative approach to the calculation of a field
theory effective potential that is based on the Wilson or exact renormalization
group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)]
of converting the exact renormalization group into a self-consistent
renormalization method. It yields a simple second order differential equation
for the effective potential. The equation can be solved and its solution is
compared with other non-perturbative results and with results of perturbation
theory. In three dimensions, we are led to study the sextic field theory
($\lambda\phi^4+g\phi^6$). We work out this theory at two-loop perturbative
order and find the non-perturbative approach to be superior.
| [
{
"created": "Fri, 3 Dec 2021 18:19:47 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2022 12:08:07 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jul 2022 12:00:10 GMT",
"version": "v3"
}
] | 2022-07-05 | [
[
"Gaite",
"Jose",
""
]
] | We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of converting the exact renormalization group into a self-consistent renormalization method. It yields a simple second order differential equation for the effective potential. The equation can be solved and its solution is compared with other non-perturbative results and with results of perturbation theory. In three dimensions, we are led to study the sextic field theory ($\lambda\phi^4+g\phi^6$). We work out this theory at two-loop perturbative order and find the non-perturbative approach to be superior. |
0710.3771 | Max Metlitski A | Max A. Metlitski | Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality | 25 pages, 1 figure | Phys.Rev.D77:085011,2008 | 10.1103/PhysRevD.77.085011 | null | hep-th hep-lat hep-ph | null | We study the properties of Wilson loops in three dimensional non-compact U(1)
gauge theories with global abelian symmetries. We use duality in the continuum
and on the lattice, to argue that close to the critical point between the Higgs
and Coulomb phases, all correlators of the Wilson loops are periodic functions
of the Wilson loop charge, Q. The period depends on the global symmetry of the
theory, which determines the magnetic flux carried by the dual particles. For
single flavour scalar electrodynamics, the emergent period is Q = 1. In the
general case of N complex scalars with a U(1)^{N-1} global symmetry, the period
is Q = N. We also give some arguments why this phenomenon does not generalize
to theories with a full non-abelian SU(N) symmetry, where no periodicity in Q
is expected. Implications for lattice simulations, as well as for physical
systems, such as easy plane antiferromagnets and disordered superfluids, are
noted.
| [
{
"created": "Fri, 19 Oct 2007 20:00:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Metlitski",
"Max A.",
""
]
] | We study the properties of Wilson loops in three dimensional non-compact U(1) gauge theories with global abelian symmetries. We use duality in the continuum and on the lattice, to argue that close to the critical point between the Higgs and Coulomb phases, all correlators of the Wilson loops are periodic functions of the Wilson loop charge, Q. The period depends on the global symmetry of the theory, which determines the magnetic flux carried by the dual particles. For single flavour scalar electrodynamics, the emergent period is Q = 1. In the general case of N complex scalars with a U(1)^{N-1} global symmetry, the period is Q = N. We also give some arguments why this phenomenon does not generalize to theories with a full non-abelian SU(N) symmetry, where no periodicity in Q is expected. Implications for lattice simulations, as well as for physical systems, such as easy plane antiferromagnets and disordered superfluids, are noted. |
1508.06572 | David A. Lowe | David A. Lowe and Larus Thorlacius | Quantum information erasure inside black holes | 20 pages, 3 figures, some minor corrections | JHEP 1512 (2015) 096 | 10.1007/JHEP12(2015)096 | BROWN-HET-1678 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An effective field theory for infalling observers in the vicinity of a
quasi-static black hole is given in terms of a freely falling lattice
discretization. The lattice model successfully reproduces the thermal spectrum
of outgoing Hawking radiation, as was shown by Corley and Jacobson, but can
also be used to model observations made by a typical low-energy observer who
enters the black hole in free fall at a prescribed time. The explicit short
distance cutoff ensures that, from the viewpoint of the infalling observer, any
quantum information that entered the black hole more than a scrambling time
earlier has been erased by the black hole singularity. This property, combined
with the requirement that outside observers need at least of order the
scrambling time to extract quantum information from the black hole, ensures
that a typical infalling observer does not encounter drama upon crossing the
black hole horizon in a theory where black hole information is preserved for
asymptotic observers.
| [
{
"created": "Wed, 26 Aug 2015 16:58:32 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 2015 01:24:42 GMT",
"version": "v2"
}
] | 2016-08-08 | [
[
"Lowe",
"David A.",
""
],
[
"Thorlacius",
"Larus",
""
]
] | An effective field theory for infalling observers in the vicinity of a quasi-static black hole is given in terms of a freely falling lattice discretization. The lattice model successfully reproduces the thermal spectrum of outgoing Hawking radiation, as was shown by Corley and Jacobson, but can also be used to model observations made by a typical low-energy observer who enters the black hole in free fall at a prescribed time. The explicit short distance cutoff ensures that, from the viewpoint of the infalling observer, any quantum information that entered the black hole more than a scrambling time earlier has been erased by the black hole singularity. This property, combined with the requirement that outside observers need at least of order the scrambling time to extract quantum information from the black hole, ensures that a typical infalling observer does not encounter drama upon crossing the black hole horizon in a theory where black hole information is preserved for asymptotic observers. |
2404.08845 | Gregory Loges | Yuta Hamada and Gregory J. Loges | Enumerating 6D supergravities with $T\leq 1$ | 29 + 9 pages, 7 figures | null | null | KEK-TH-2615 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The space of 6D supergravities with minimal supersymmetry is greatly
constrained by anomaly cancellation. Nevertheless, a large number of models
satisfy all low-energy consistency conditions and in this work we make progress
towards exhaustively enumerating all anomaly-free models with at most one
tensor multiplet. Generalizing previous techniques, we describe a general
algorithm using multi-hypergraphs and simplicial complexes to systematically
enumerate anomaly-free models with gauge groups of any number of simple factors
and with hypermultiplets falling into any representations. Using these new
ideas, we obtain a \emph{complete} list of anomaly-free models for $T\leq 1$,
the only simplifying assumption being that the gauge group contains no
$\operatorname{U}(1)$, $\operatorname{SU}(2)$, $\operatorname{SU}(3)$ or
$\operatorname{Sp}(2)$ factors. We also study how many/which models in this
ensemble satisfy several UV and swampland bounds which have been proposed and
previously utilized to great effect, finding that none are ruled out for $T=0$
and $\approx\!50\%$ are inconsistent with quantum gravity for $T=1$.
| [
{
"created": "Fri, 12 Apr 2024 23:26:52 GMT",
"version": "v1"
}
] | 2024-04-16 | [
[
"Hamada",
"Yuta",
""
],
[
"Loges",
"Gregory J.",
""
]
] | The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards exhaustively enumerating all anomaly-free models with at most one tensor multiplet. Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. Using these new ideas, we obtain a \emph{complete} list of anomaly-free models for $T\leq 1$, the only simplifying assumption being that the gauge group contains no $\operatorname{U}(1)$, $\operatorname{SU}(2)$, $\operatorname{SU}(3)$ or $\operatorname{Sp}(2)$ factors. We also study how many/which models in this ensemble satisfy several UV and swampland bounds which have been proposed and previously utilized to great effect, finding that none are ruled out for $T=0$ and $\approx\!50\%$ are inconsistent with quantum gravity for $T=1$. |
2205.00898 | Joaquin Liniado | Horacio Falomir, Joaquin Liniado, Pablo Pisani | Algebraic Structure of Dirac Hamiltonians in Non-Commutative Phase Space | 22 pages | null | 10.1088/1751-8121/aca187 | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this article we study two-dimensional Dirac Hamiltonians with
non-commutativity both in coordinates and momenta from an algebraic
perspective. In order to do so, we consider the graded Lie algebra
$\mathfrak{sl}(2|1)$ generated by Hermitian bilinear forms in the
non-commutative dynamical variables and the Dirac matrices in $2+1$ dimensions.
By further defining a total angular momentum operator, we are able to express a
class of Dirac Hamiltonians completely in terms of these operators. In this
way, we analyze the energy spectrum of some simple models by constructing and
studying the representation spaces of the unitary irreducible representations
of the graded Lie algebra $\mathfrak{sl}(2|1)\oplus \mathfrak{so}(2)$. As
application of our results, we consider the Landau model and a fermion in a
finite cylindrical well.
| [
{
"created": "Mon, 2 May 2022 13:20:52 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2022 14:38:54 GMT",
"version": "v2"
}
] | 2022-11-30 | [
[
"Falomir",
"Horacio",
""
],
[
"Liniado",
"Joaquin",
""
],
[
"Pisani",
"Pablo",
""
]
] | In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinates and momenta from an algebraic perspective. In order to do so, we consider the graded Lie algebra $\mathfrak{sl}(2|1)$ generated by Hermitian bilinear forms in the non-commutative dynamical variables and the Dirac matrices in $2+1$ dimensions. By further defining a total angular momentum operator, we are able to express a class of Dirac Hamiltonians completely in terms of these operators. In this way, we analyze the energy spectrum of some simple models by constructing and studying the representation spaces of the unitary irreducible representations of the graded Lie algebra $\mathfrak{sl}(2|1)\oplus \mathfrak{so}(2)$. As application of our results, we consider the Landau model and a fermion in a finite cylindrical well. |
hep-th/0002033 | Pedro Gonzalez | Pedro F. Gonzalez-Diaz (IMAFF, CSIC, Madrid) | Quintessence in brane cosmology | 10 pages, additional physical motivation and connections to high
energy physics and observations, to appear in Phys. Lett. B | Phys.Lett. B481 (2000) 353-359 | 10.1016/S0370-2693(00)00451-2 | IMAFF-RCA-00-03 | hep-th | null | In order to reconcile the non conventional character of brane cosmology with
standard Friedmann cosmology, we introduce in this paper a slowly-varying
quintessence scalar field in the brane and analyse the cosmological solutions
corresponding to some equations of state for the scalar field. Different
compensation mechanisms between the cosmological constant in the bulk and the
constant tension resulting from the combined effect of ordinary matter and the
quintessence scalar field are derived or assumed. It has been checked that the
Randall-Sundrum approach is not necessarily the best procedure to reconcile
brane and standard cosmologies, and that there exists at least another
compensating mechanism that reproduces a rather conventional behaviour for an
accelerating universe.
| [
{
"created": "Fri, 4 Feb 2000 10:33:33 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2000 17:15:06 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gonzalez-Diaz",
"Pedro F.",
"",
"IMAFF, CSIC, Madrid"
]
] | In order to reconcile the non conventional character of brane cosmology with standard Friedmann cosmology, we introduce in this paper a slowly-varying quintessence scalar field in the brane and analyse the cosmological solutions corresponding to some equations of state for the scalar field. Different compensation mechanisms between the cosmological constant in the bulk and the constant tension resulting from the combined effect of ordinary matter and the quintessence scalar field are derived or assumed. It has been checked that the Randall-Sundrum approach is not necessarily the best procedure to reconcile brane and standard cosmologies, and that there exists at least another compensating mechanism that reproduces a rather conventional behaviour for an accelerating universe. |
1012.2426 | Yan-Gang Miao | Yan-Gang Miao, Zhao Xue, Shao-Jun Zhang | Tunneling of massive particles from noncommutative inspired
Schwarzschild black hole | 11 pages, no figures; v2: 13 pages, clarifications and references
added, version accepted for publication in Gen. Rel. Grav | Gen. Relativ. Gravit. 44 (2012) 555-566 | 10.1007/s10714-011-1290-7 | USTC-ICTS-10-22 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the generalization of the Parikh-Wilczek method to the tunneling of
massive particles from noncommutative inspired Schwarzschild black holes. By
deriving the equation of radial motion of the tunneling particle directly, we
calculate the emission rate which is shown to be dependent on the
noncommutative parameter besides the energy and mass of the tunneling particle.
After equating the emission rate to the Boltzmann factor, we obtain the
modified Hawking temperature which relates to the noncommutativity and recovers
the standard Hawking temperature in the commutative limit. We also discuss the
entropy of the noncommutative inspired Schwarzschild black hole and its
difference after and before a massive particle's emission.
| [
{
"created": "Sat, 11 Dec 2010 04:18:46 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Oct 2011 07:26:00 GMT",
"version": "v2"
}
] | 2012-02-01 | [
[
"Miao",
"Yan-Gang",
""
],
[
"Xue",
"Zhao",
""
],
[
"Zhang",
"Shao-Jun",
""
]
] | We apply the generalization of the Parikh-Wilczek method to the tunneling of massive particles from noncommutative inspired Schwarzschild black holes. By deriving the equation of radial motion of the tunneling particle directly, we calculate the emission rate which is shown to be dependent on the noncommutative parameter besides the energy and mass of the tunneling particle. After equating the emission rate to the Boltzmann factor, we obtain the modified Hawking temperature which relates to the noncommutativity and recovers the standard Hawking temperature in the commutative limit. We also discuss the entropy of the noncommutative inspired Schwarzschild black hole and its difference after and before a massive particle's emission. |
hep-th/9909109 | Igor R. Klebanov | Igor R. Klebanov, Nikita A. Nekrasov and Samson L. Shatashvili | An Orbifold of Type 0B Strings and Non-supersymmetric Gauge Theories | 15 pages, harvmac; v2: very minor corrections; v3: a comment about
pure glue theory added | Nucl.Phys. B591 (2000) 26-38 | 10.1016/S0550-3213(00)00547-2 | PUPT-1891, ITEP-TH-48/99, NSF-ITP-99-27, YCTP-P24-99 | hep-th | null | We study a ${{\IZ}}_2$ orbifold of Type 0B string theory by reflection of six
of the coordinates (this theory may also be thought of as a ${{\IZ}}_4$
orbifold of Type IIB string theory by a rotation by $\pi$ in three independent
planes). We show that the only massless mode localized on the fixed fourplane
$\IR^{3,1}$ is a U(1) gauge field. After introducing D3-branes parallel to the
fixed fourplane we find non-supersymmetric non-abelian gauge theories on their
worldvolume. One of our results is that the theory on equal numbers of electric
and magnetic D3-branes placed at the fourplane is the ${{\IZ}}_4$ orbifold of
${\cal N}=4$ supersymmetric Yang-Mills theory by the center of its R-symmetry
group.
| [
{
"created": "Wed, 15 Sep 1999 19:35:09 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Sep 1999 21:03:24 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Sep 1999 22:44:27 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Klebanov",
"Igor R.",
""
],
[
"Nekrasov",
"Nikita A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | We study a ${{\IZ}}_2$ orbifold of Type 0B string theory by reflection of six of the coordinates (this theory may also be thought of as a ${{\IZ}}_4$ orbifold of Type IIB string theory by a rotation by $\pi$ in three independent planes). We show that the only massless mode localized on the fixed fourplane $\IR^{3,1}$ is a U(1) gauge field. After introducing D3-branes parallel to the fixed fourplane we find non-supersymmetric non-abelian gauge theories on their worldvolume. One of our results is that the theory on equal numbers of electric and magnetic D3-branes placed at the fourplane is the ${{\IZ}}_4$ orbifold of ${\cal N}=4$ supersymmetric Yang-Mills theory by the center of its R-symmetry group. |
2202.11156 | Davood Mahdavian Yekta | H. Babaei-Aghbolagh, Komeil Babaei Velni, Davood Mahdavian Yekta and
H. Mohammadzadeh | Emergence of non-linear electrodynamic theories from $T\bar{T}$-like
deformations | 12 pages, 1 figure, Accepted for publication in PLB | null | 10.1016/j.physletb.2022.137079 | IPM/P-2022/13 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this letter, we investigate the deformation of the ModMax theory, as a
unique Lagrangian of non-linear electrodynamics preserving both conformal and
electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show
that the deformed theory is the generalized non-linear Born-Infeld
electrodynamics. Being inspired by the invariance under the flow equation for
Born-Infeld theories, we propose another $T\bar{T}$-like operator generating
the ModMax and generalized Born-Infeld non-linear electrodynamic theories from
the usual Maxwell and Born-Infeld theories, respectively.
| [
{
"created": "Tue, 22 Feb 2022 20:22:43 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2022 07:20:02 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Apr 2022 12:10:58 GMT",
"version": "v3"
}
] | 2022-04-20 | [
[
"Babaei-Aghbolagh",
"H.",
""
],
[
"Velni",
"Komeil Babaei",
""
],
[
"Yekta",
"Davood Mahdavian",
""
],
[
"Mohammadzadeh",
"H.",
""
]
] | In this letter, we investigate the deformation of the ModMax theory, as a unique Lagrangian of non-linear electrodynamics preserving both conformal and electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show that the deformed theory is the generalized non-linear Born-Infeld electrodynamics. Being inspired by the invariance under the flow equation for Born-Infeld theories, we propose another $T\bar{T}$-like operator generating the ModMax and generalized Born-Infeld non-linear electrodynamic theories from the usual Maxwell and Born-Infeld theories, respectively. |
hep-th/0407102 | Sandrine Cnockaert | Xavier Bekaert, Nicolas Boulanger and Sandrine Cnockaert | No Self-Interaction for Two-Column Massless Fields | 41 pages, LaTeX | J.Math.Phys. 46 (2005) 012303 | 10.1063/1.1823032 | DFPD/04/TH/14, DAMTP-2004-67, ULB-TH/04-21 | hep-th | null | We investigate the problem of introducing consistent self-couplings in free
theories for mixed tensor gauge fields whose symmetry properties are
characterized by Young diagrams made of two columns of arbitrary (but
different) lengths. We prove that, in flat space, these theories admit no
local, Poincar\'e-invariant, smooth, self-interacting deformation with at most
two derivatives in the Lagrangian. Relaxing the derivative and
Lorentz-invariance assumptions, there still is no deformation that modifies the
gauge algebra, and in most cases no deformation that alters the gauge
transformations.Our approach is based on a BRST-cohomology deformation
procedure.
| [
{
"created": "Tue, 13 Jul 2004 15:21:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bekaert",
"Xavier",
""
],
[
"Boulanger",
"Nicolas",
""
],
[
"Cnockaert",
"Sandrine",
""
]
] | We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We prove that, in flat space, these theories admit no local, Poincar\'e-invariant, smooth, self-interacting deformation with at most two derivatives in the Lagrangian. Relaxing the derivative and Lorentz-invariance assumptions, there still is no deformation that modifies the gauge algebra, and in most cases no deformation that alters the gauge transformations.Our approach is based on a BRST-cohomology deformation procedure. |
1710.05765 | Wung-Hong Huang | Wung-Hong Huang | Holographic Butterfly Velocities in Brane Geometry and
Einstein-Gauss-Bonnet Gravity with Matters | Latex, 25 pages, give the simplest form of formula (4.18), typos
corrected | Phys. Rev. D 97, 066020 (2018) | 10.1103/PhysRevD.97.066020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the first part of the paper we generalize the butterfly velocity formula
to anisotropic spacetime. We apply the formula to evaluate the butterfly
velocities in M-branes, D-branes and strings backgrounds. We show that the
butterfly velocities in M2-branes, M5-branes and the intersection M2$\bot$M5
equal to those in fundamental strings, D4-branes and the intersection
F1$\bot$D4 backgrounds, respectively. These observations lead us to conjecture
that the butterfly velocity is generally invariant under a double-dimensional
reduction. In the second part of the paper, we study the butterfly velocity for
Einstein-Gauss-Bonnet gravity with arbitrary matter fields. A general formula
is obtained. We use this formula to compute the butterfly velocities in
different backgrounds and discuss the associated properties.
| [
{
"created": "Mon, 16 Oct 2017 14:48:30 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Oct 2017 13:54:39 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Nov 2017 13:15:36 GMT",
"version": "v3"
},
{
"created": "Sun, 11 Feb 2018 13:04:28 GMT",
"version": "v4"
}
] | 2018-03-28 | [
[
"Huang",
"Wung-Hong",
""
]
] | In the first part of the paper we generalize the butterfly velocity formula to anisotropic spacetime. We apply the formula to evaluate the butterfly velocities in M-branes, D-branes and strings backgrounds. We show that the butterfly velocities in M2-branes, M5-branes and the intersection M2$\bot$M5 equal to those in fundamental strings, D4-branes and the intersection F1$\bot$D4 backgrounds, respectively. These observations lead us to conjecture that the butterfly velocity is generally invariant under a double-dimensional reduction. In the second part of the paper, we study the butterfly velocity for Einstein-Gauss-Bonnet gravity with arbitrary matter fields. A general formula is obtained. We use this formula to compute the butterfly velocities in different backgrounds and discuss the associated properties. |
2212.14886 | Falk Hassler | Falk Hassler and Yuho Sakatani | All maximal gauged supergravities with uplift | 40 pages | Prog Theor Exp Phys (2023) | 10.1093/ptep/ptad104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generalised parallelisable spaces permit to uplift many maximal gauged
supergravities to ten or eleven dimensions. While some of the former are
explicitly known, the literature is still lacking a systematic construction and
a complete classification. We resolve this issue and present an explicit
construction, and with it a full classification, of generalised parallelisable
spaces for maximal gauged supergravities in four or more dimensions. All
embedding tensors that can be realised without breaking the section condition
of exceptional field theory are identified and the corresponding generalised
frame fields are constructed. This finally resolved the old question: "Which
maximal gauged supergravities have uplifts to 10/11d?". Furthermore, it
provides the basis to explore solution generating techniques based on
generalised dualities.
| [
{
"created": "Fri, 30 Dec 2022 18:59:56 GMT",
"version": "v1"
}
] | 2023-08-30 | [
[
"Hassler",
"Falk",
""
],
[
"Sakatani",
"Yuho",
""
]
] | Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete classification. We resolve this issue and present an explicit construction, and with it a full classification, of generalised parallelisable spaces for maximal gauged supergravities in four or more dimensions. All embedding tensors that can be realised without breaking the section condition of exceptional field theory are identified and the corresponding generalised frame fields are constructed. This finally resolved the old question: "Which maximal gauged supergravities have uplifts to 10/11d?". Furthermore, it provides the basis to explore solution generating techniques based on generalised dualities. |
hep-th/9402115 | Andrei Linde | Andrei Linde and Dmitri Linde | Topological Defects as Seeds for Eternal Inflation | 21 pages, 17 figures (not included), Stanford University preprint
SU--ITP--94--3 | Phys.Rev.D50:2456-2468,1994 | 10.1103/PhysRevD.50.2456 | null | hep-th astro-ph gr-qc hep-ph | null | We investigate the global structure of inflationary universe both by
analytical methods and by computer simulations of stochastic processes in the
early Universe. We show that the global structure of the universe depends
crucially on the mechanism of inflation. In the simplest models of chaotic
inflation the Universe looks like a sea of thermalized phase surrounding
permanently self-reproducing inflationary domains. In the theories where
inflation occurs near a local extremum of the effective potential corresponding
to a metastable state, the Universe looks like de Sitter space surrounding
islands of thermalized phase. A similar picture appears even if the state $\phi
= 0$ is unstable but the effective potential has a discrete symmetry $\phi \to
=-\phi$. In this case the Universe becomes divided into domains containing
different phases. These domains will be separated from each other by domain
walls. However, unlike ordinary domain walls, these domain walls will inflate,
and their thickness will exponentially grow. In the theories with continuous
symmetries inflation generates exponentially expanding strings and monopoles
surrounded by thermalized phase. Inflating topological defects will be stable,
and they will unceasingly produce new inflating topological defects. This means
that topological defects may play a role of indestructible seeds for eternal
inflation.
| [
{
"created": "Sun, 20 Feb 1994 16:47:42 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Linde",
"Andrei",
""
],
[
"Linde",
"Dmitri",
""
]
] | We investigate the global structure of inflationary universe both by analytical methods and by computer simulations of stochastic processes in the early Universe. We show that the global structure of the universe depends crucially on the mechanism of inflation. In the simplest models of chaotic inflation the Universe looks like a sea of thermalized phase surrounding permanently self-reproducing inflationary domains. In the theories where inflation occurs near a local extremum of the effective potential corresponding to a metastable state, the Universe looks like de Sitter space surrounding islands of thermalized phase. A similar picture appears even if the state $\phi = 0$ is unstable but the effective potential has a discrete symmetry $\phi \to =-\phi$. In this case the Universe becomes divided into domains containing different phases. These domains will be separated from each other by domain walls. However, unlike ordinary domain walls, these domain walls will inflate, and their thickness will exponentially grow. In the theories with continuous symmetries inflation generates exponentially expanding strings and monopoles surrounded by thermalized phase. Inflating topological defects will be stable, and they will unceasingly produce new inflating topological defects. This means that topological defects may play a role of indestructible seeds for eternal inflation. |
hep-th/0701061 | Kormos M\'arton | Marton Kormos | Boundary renormalisation group flows of the supersymmetric Lee-Yang
model and its extensions | null | Nucl.Phys.B772:227-248,2007 | 10.1016/j.nuclphysb.2007.02.028 | Budapest Report No. 633 | hep-th | null | In this paper we examine the supersymmetric Lee-Yang model in the presence of
boundaries. We determine the reflection factors for the Neveu-Schwarz type
boundary conditions from the reduction of the supersymmetric sine-Gordon model
and check them by using Boundary Truncated Conformal Space Approach in the
massless case. We explore the boundary renormalisation groups flows using
boundary TBA and TCSA.
| [
{
"created": "Mon, 8 Jan 2007 20:30:19 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2007 13:08:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kormos",
"Marton",
""
]
] | In this paper we examine the supersymmetric Lee-Yang model in the presence of boundaries. We determine the reflection factors for the Neveu-Schwarz type boundary conditions from the reduction of the supersymmetric sine-Gordon model and check them by using Boundary Truncated Conformal Space Approach in the massless case. We explore the boundary renormalisation groups flows using boundary TBA and TCSA. |
0903.0292 | Behnam Pourhassan | J. Sadeghi, H. M.Farahani, B. Pourhassan and S. M. Noorbakhsh | Cosmic String in the BTZ Black Hole Background with Time-Dependant
Tension | 13 pages, 5 figures, 2 Tables, revised version | Phys.Lett.B703:14-19,2011 | 10.1016/j.physletb.2011.07.054 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the equation of circular loops with time-dependant
tension in the BTZ black hole background. We obtain various cases where cosmic
string loops finally collapse to form black holes. Also, we study effect of the
BTZ black hole mass and angular momentum on the evolution of cosmic string
loops. We find the critical values of initial radii as a limit for the cosmic
string loops collapsing to form black holes.
| [
{
"created": "Mon, 2 Mar 2009 13:40:57 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2011 09:47:40 GMT",
"version": "v2"
}
] | 2011-08-24 | [
[
"Sadeghi",
"J.",
""
],
[
"Farahani",
"H. M.",
""
],
[
"Pourhassan",
"B.",
""
],
[
"Noorbakhsh",
"S. M.",
""
]
] | In this paper, we study the equation of circular loops with time-dependant tension in the BTZ black hole background. We obtain various cases where cosmic string loops finally collapse to form black holes. Also, we study effect of the BTZ black hole mass and angular momentum on the evolution of cosmic string loops. We find the critical values of initial radii as a limit for the cosmic string loops collapsing to form black holes. |
1203.6277 | George Leontaris | George K. Leontaris | Aspects of F-Theory GUTs | 37 pages. Based on Talk presented at Corfu 2011 Workshop "Fields and
Strings: Theory - Cosmology - Phenomenology. September 14 - 18, 2011".
(Prepared for the proceedings) | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The basic tools for model building in F-theory are reviewed and applied to
the construction of SU(5) models. The flux mechanism for gauge symmetry
breaking and doublet triplet splitting is analysed. A short account for the
gauge coupling unification and the role of flux and Kaluza-Klein thresholds is
also given.
| [
{
"created": "Wed, 28 Mar 2012 14:16:00 GMT",
"version": "v1"
}
] | 2012-03-29 | [
[
"Leontaris",
"George K.",
""
]
] | The basic tools for model building in F-theory are reviewed and applied to the construction of SU(5) models. The flux mechanism for gauge symmetry breaking and doublet triplet splitting is analysed. A short account for the gauge coupling unification and the role of flux and Kaluza-Klein thresholds is also given. |
1807.01879 | Dieter Van den Bleeken | Delaram Mirfendereski and Dieter Van den Bleeken | A twist on multicenter AdS$_2$ solutions | 9 pages, version accepted for publication | Phys. Rev. D 98, 106001 (2018) | 10.1103/PhysRevD.98.106001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The multicenter solutions of 4d ${\cal N}=2$ supergravity contain a subset of
scaling solutions with vanishing total angular momentum. In a near limit those
solutions are asymptotically locally AdS$_2\times$ S$^2$, but we show that a
higher moment of angular momentum contributes a subtle twist, rotating the
S$^2$ with time. This provides some potential hair distinguishing the
asymptotics of these scaling solutions from the near horizon geometry of an
extremal BPS black hole.
| [
{
"created": "Thu, 5 Jul 2018 07:36:18 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2018 12:30:08 GMT",
"version": "v2"
}
] | 2018-11-07 | [
[
"Mirfendereski",
"Delaram",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] | The multicenter solutions of 4d ${\cal N}=2$ supergravity contain a subset of scaling solutions with vanishing total angular momentum. In a near limit those solutions are asymptotically locally AdS$_2\times$ S$^2$, but we show that a higher moment of angular momentum contributes a subtle twist, rotating the S$^2$ with time. This provides some potential hair distinguishing the asymptotics of these scaling solutions from the near horizon geometry of an extremal BPS black hole. |
hep-th/0304205 | Takeshi Oota | Takeshi Oota | Quantum Projectors and Local Operators in Lattice Integrable Models | LaTeX file, 15 pages, no figure | J.Phys.A37:441-452,2004 | 10.1088/0305-4470/37/2/013 | null | hep-th | null | In the framework of the quantum inverse scattering method, we consider a
problem of constructing local operators for two-dimensional quantum integrable
models, especially for the lattice versions of the nonlinear Schrodinger and
sine-Gordon models. We show that a certain class of local operators can be
constructed from the matrix elements of the monodromy matrix in a simple way.
They are closely related to the quantum projectors and have nice commutation
relations with the half of the matrix elements of the elementary monodromy
matrix. The form factors of these operators can be calculated by using the
standard algebraic Bethe ansatz techniques.
| [
{
"created": "Thu, 24 Apr 2003 11:53:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Oota",
"Takeshi",
""
]
] | In the framework of the quantum inverse scattering method, we consider a problem of constructing local operators for two-dimensional quantum integrable models, especially for the lattice versions of the nonlinear Schrodinger and sine-Gordon models. We show that a certain class of local operators can be constructed from the matrix elements of the monodromy matrix in a simple way. They are closely related to the quantum projectors and have nice commutation relations with the half of the matrix elements of the elementary monodromy matrix. The form factors of these operators can be calculated by using the standard algebraic Bethe ansatz techniques. |
hep-th/9512170 | Arefeva Irina | I.Ya.Arefeva, K.S. Viswanathan and I.V.Volovich | On Black Hole Creation in Planckian Energy Scattering | Cont.Proc. of VI Quantum Gravity Seminar, 15 pages, LATEX | Int.J.Mod.Phys.D5:707-722,1996 | 10.1142/S0218271896000448 | SMI-27-95 | hep-th | null | In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured
that black holes occur in the collision of two light particles at planckian
energies. In this talk based on \cite {AVV} we discuss a possible scenario for
such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between
the Kerr black hole solution and colliding plane gravitational waves.
| [
{
"created": "Thu, 21 Dec 1995 06:52:44 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Arefeva",
"I. Ya.",
""
],
[
"Viswanathan",
"K. S.",
""
],
[
"Volovich",
"I. V.",
""
]
] | In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at planckian energies. In this talk based on \cite {AVV} we discuss a possible scenario for such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between the Kerr black hole solution and colliding plane gravitational waves. |
1107.3566 | Keshav Dasgupta | Keshav Dasgupta, Jihye Seo, Alisha Wissanji | F-Theory, Seiberg-Witten Curves and N = 2 Dualities | 117 pages, 33 figures, LaTex; v2: Text elaborated at many places, a
new appendix added, figure 15 changed, typos corrected and references added.
Final version to appear in JHEP | null | 10.1007/JHEP02(2012)146 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | F-theoretic constructions can alternatively be understood as consequences of
certain N = 2 Seiberg-Witten theories via type IIB r D3s probing the quantum
corrected orientifold backgrounds. We present four models that come out from
such consideration. In Model 1, the 7-branes wrap the flat R^4 directions,
leading to the well known Sp(2r) theories. We study singularity structure of
moduli space of Seiberg-Witten curve, such as maximal Argyres-Douglas loci, in
order to construct 1-1 map between moduli spaces. In Model 2, the 7-branes are
wrapped on Taub-NUT and multi Taub-NUT spaces instead of R^4. These
configurations may explain many of the Gaiotto-type constructions including
possible extensions to non-conformal models with cascading behaviors. In this
model the UV is described by the probe D3s decomposed into D5-anti D5 pairs
wrapped on multi Taub-NUT space, while the IR remains a 4d theory. For certain
arrangements of the 7-branes, this model may be dualized to the brane networks
of Benini, Benvenuti and Tachikawa. The Gaiotto dualities in Model 2 are
explained by chiral anomaly cancellations, anti-GSO projections and brane
transmutations. Model 3 is described by seven-branes wrapped on a K3 manifold
and D3 and anti-D3 probes whose number may differ at most by 24. These
constructions could lead to new N = 2 models with possible dualities to both
type IIB and heterotic theories on non-Kahler manifolds. In the limit where the
number of probes becomes very large, the physics is captured by M(atrix) theory
on K3 x K3 manifold. Finally, Model 4 is described by k D3s probing
intersecting seven-brane backgrounds with Sp(2k) x Sp(2k) gauge group. These
constructions could produce new N =1 heterotic dual on a non-Kahler K3 manifold
that is no longer conformally Calabi-Yau. We discuss possible constraints on
these models coming from global charge and anomaly cancellations in F-theory.
| [
{
"created": "Mon, 18 Jul 2011 20:16:42 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Feb 2012 04:39:48 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Seo",
"Jihye",
""
],
[
"Wissanji",
"Alisha",
""
]
] | F-theoretic constructions can alternatively be understood as consequences of certain N = 2 Seiberg-Witten theories via type IIB r D3s probing the quantum corrected orientifold backgrounds. We present four models that come out from such consideration. In Model 1, the 7-branes wrap the flat R^4 directions, leading to the well known Sp(2r) theories. We study singularity structure of moduli space of Seiberg-Witten curve, such as maximal Argyres-Douglas loci, in order to construct 1-1 map between moduli spaces. In Model 2, the 7-branes are wrapped on Taub-NUT and multi Taub-NUT spaces instead of R^4. These configurations may explain many of the Gaiotto-type constructions including possible extensions to non-conformal models with cascading behaviors. In this model the UV is described by the probe D3s decomposed into D5-anti D5 pairs wrapped on multi Taub-NUT space, while the IR remains a 4d theory. For certain arrangements of the 7-branes, this model may be dualized to the brane networks of Benini, Benvenuti and Tachikawa. The Gaiotto dualities in Model 2 are explained by chiral anomaly cancellations, anti-GSO projections and brane transmutations. Model 3 is described by seven-branes wrapped on a K3 manifold and D3 and anti-D3 probes whose number may differ at most by 24. These constructions could lead to new N = 2 models with possible dualities to both type IIB and heterotic theories on non-Kahler manifolds. In the limit where the number of probes becomes very large, the physics is captured by M(atrix) theory on K3 x K3 manifold. Finally, Model 4 is described by k D3s probing intersecting seven-brane backgrounds with Sp(2k) x Sp(2k) gauge group. These constructions could produce new N =1 heterotic dual on a non-Kahler K3 manifold that is no longer conformally Calabi-Yau. We discuss possible constraints on these models coming from global charge and anomaly cancellations in F-theory. |
2403.04826 | Carolina Figueiredo | Nima Arkani-Hamed, Carolina Figueiredo | Circles and Triangles, the NLSM and Tr($\Phi^3$) | 28 pages, 10 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A surprising connection has recently been made between the amplitudes for
Tr($\Phi^3$) theory and the non-linear sigma model (NLSM). A simple shift of
kinematic variables naturally suggested by the associahedron/stringy
representation of Tr$(\Phi^3$) theory yields pion amplitudes at all loops. In
this note we provide an elementary motivation and proof for this link going in
the opposite direction, starting from the non-linear sigma model and
discovering its formulation as a sum over triangulations of surfaces with
simple numerator factors. This uses an ancient connection between "circles" and
"triangles", interpreting the equation $y = \sqrt{1 - x^2}$ both as
parametrizing points on a circle as well as generating the number of
triangulations of polygons. A further simplification of the numerator factors
exposes them as arising from the kinematically shifted Tr($\Phi^3$) theory, and
gives rise to novel tropical representations of NLSM amplitudes. The connection
to Tr$(\Phi^3)$ theory defines a natural notion of "surface-soft limit"
intrinsic to curves on surfaces. Remarkably, with this definition, the soft
limit of pion amplitudes vanishes directly at the level of the integrand, via
obvious pairwise cancellations. We also give simple, explicit expressions for
the multi-soft factors for tree and loop-level integrands in the limit as any
number of pions are taken "surface-soft".
| [
{
"created": "Thu, 7 Mar 2024 19:00:00 GMT",
"version": "v1"
}
] | 2024-03-11 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Figueiredo",
"Carolina",
""
]
] | A surprising connection has recently been made between the amplitudes for Tr($\Phi^3$) theory and the non-linear sigma model (NLSM). A simple shift of kinematic variables naturally suggested by the associahedron/stringy representation of Tr$(\Phi^3$) theory yields pion amplitudes at all loops. In this note we provide an elementary motivation and proof for this link going in the opposite direction, starting from the non-linear sigma model and discovering its formulation as a sum over triangulations of surfaces with simple numerator factors. This uses an ancient connection between "circles" and "triangles", interpreting the equation $y = \sqrt{1 - x^2}$ both as parametrizing points on a circle as well as generating the number of triangulations of polygons. A further simplification of the numerator factors exposes them as arising from the kinematically shifted Tr($\Phi^3$) theory, and gives rise to novel tropical representations of NLSM amplitudes. The connection to Tr$(\Phi^3)$ theory defines a natural notion of "surface-soft limit" intrinsic to curves on surfaces. Remarkably, with this definition, the soft limit of pion amplitudes vanishes directly at the level of the integrand, via obvious pairwise cancellations. We also give simple, explicit expressions for the multi-soft factors for tree and loop-level integrands in the limit as any number of pions are taken "surface-soft". |
1412.5966 | Andreas Deser | Andreas Deser | Star products on graded manifolds and $\alpha '$-corrections to Courant
algebroids from string theory | 28 pages, typos corrected, citations added | null | 10.1063/1.4931137 | ITP-UH-24/14 | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Deformation theory refers to an apparatus in many parts of math and physics
for going from an infinitesimal (= first order) deformation to a full
deformation, either formal or convergent appropriately. If the algebra being
deformed is that of observables, the result is deformation quantization,
independent of any realization in terms of Hilbert space operators. There are
very important but rare cases in which a formula for a full deformation is
known. For physics, the most important is the Moyal-Weyl star product formula.
In this paper, we concentrate on deformations of Courant algebroid structures
via star products on graded manifolds. In particular, we construct a graded
version of the Moyal-Weyl star product. Recently, in Double Field Theory (DFT),
deformations of the C-bracket and O(d,d)-invariant bilinear form to first order
in the closed string sigma model coupling $\alpha '$ were derived by analyzing
the transformation properties of the Neveu-Schwarz B-field. By choosing a
particular Poisson structure on the Drinfel'd double corresponding to the
Courant algebroid structure of the generalized tangent bundle, we reproduce
these deformations for a specific solution of the strong constraint of DFT as
expansion of a graded version of the Moyal-Weyl star product.
| [
{
"created": "Thu, 18 Dec 2014 17:45:57 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2015 10:20:24 GMT",
"version": "v2"
}
] | 2015-10-28 | [
[
"Deser",
"Andreas",
""
]
] | Deformation theory refers to an apparatus in many parts of math and physics for going from an infinitesimal (= first order) deformation to a full deformation, either formal or convergent appropriately. If the algebra being deformed is that of observables, the result is deformation quantization, independent of any realization in terms of Hilbert space operators. There are very important but rare cases in which a formula for a full deformation is known. For physics, the most important is the Moyal-Weyl star product formula. In this paper, we concentrate on deformations of Courant algebroid structures via star products on graded manifolds. In particular, we construct a graded version of the Moyal-Weyl star product. Recently, in Double Field Theory (DFT), deformations of the C-bracket and O(d,d)-invariant bilinear form to first order in the closed string sigma model coupling $\alpha '$ were derived by analyzing the transformation properties of the Neveu-Schwarz B-field. By choosing a particular Poisson structure on the Drinfel'd double corresponding to the Courant algebroid structure of the generalized tangent bundle, we reproduce these deformations for a specific solution of the strong constraint of DFT as expansion of a graded version of the Moyal-Weyl star product. |
hep-th/0104007 | Henri Verschelde | K.Knecht and H.Verschelde | A new start for local composite operators | 20 pages | Phys.Rev. D64 (2001) 085006 | 10.1103/PhysRevD.64.085006 | null | hep-th | null | We present a formalism for local composite operators. The corresponding
effective potential is unique, multiplicatively renormalizable, it is the sum
of 1PI diagrams and can be interpreted as an energy-density. First we apply
this method to $\lambda \Phi^4$ theory where we check renormalizability up to
three loops and secondly to the Coleman-Weinberg model where the gauge
independence of the effective potential for the local composite operator
$\phi\phi^*$ is explicitely checked up to two loops.
| [
{
"created": "Mon, 2 Apr 2001 08:15:23 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Knecht",
"K.",
""
],
[
"Verschelde",
"H.",
""
]
] | We present a formalism for local composite operators. The corresponding effective potential is unique, multiplicatively renormalizable, it is the sum of 1PI diagrams and can be interpreted as an energy-density. First we apply this method to $\lambda \Phi^4$ theory where we check renormalizability up to three loops and secondly to the Coleman-Weinberg model where the gauge independence of the effective potential for the local composite operator $\phi\phi^*$ is explicitely checked up to two loops. |
hep-th/0502166 | Masato Nozawa | Masato Nozawa and Kei-ichi Maeda | Energy Extraction from Higher Dimensional Black Holes and Black Rings | 11 pages, 7 figures | Phys.Rev.D71:084028,2005 | 10.1103/PhysRevD.71.084028 | null | hep-th gr-qc | null | We analyze the energy extraction by the Penrose process in higher dimensions.
Our result shows the efficiency of the process from higher dimensional black
holes and black rings can be rather high compared with than that in four
dimensional Kerr black hole. In particular, if one rotation parameter vanishes,
the maximum efficiency becomes infinitely large because the angular momentum is
not bounded from above. We also apply a catastrophe theory to analyze the
stability of black rings. It indicates a branch of black rings with higher
rotational energy is unstable, which should be a different type of instability
from the Gregory-Laflamme's one.
| [
{
"created": "Fri, 18 Feb 2005 03:46:45 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Nozawa",
"Masato",
""
],
[
"Maeda",
"Kei-ichi",
""
]
] | We analyze the energy extraction by the Penrose process in higher dimensions. Our result shows the efficiency of the process from higher dimensional black holes and black rings can be rather high compared with than that in four dimensional Kerr black hole. In particular, if one rotation parameter vanishes, the maximum efficiency becomes infinitely large because the angular momentum is not bounded from above. We also apply a catastrophe theory to analyze the stability of black rings. It indicates a branch of black rings with higher rotational energy is unstable, which should be a different type of instability from the Gregory-Laflamme's one. |
2301.06830 | Yueren Xing | Yueren Xing | Entropy and replica geometry in generic two-dimensional dilaton gravity
theories | 47 pages, 14 figures; new remarks to section 4 and 5 added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We set up a new version of black hole information paradox in an eternal
Narayan black hole, a generic two-dimensional dilaton gravity theory with
non-trivial on-shell bulk action and a product of dimensional reduction from
higher-dimensional AdS black brane, joined to Minkowski bath on both sides. We
also report both similarities as well as important differences between our
model and the famous model of JT gravity coupled with baths. The contradiction
of Hawking's result of entanglement entropy with unitarity is resolved by
including a new saddle in the Euclidean gravitational path integral. As part of
ongoing and developing research, we attempt, and have had partial success, to
explicitly construct the replica wormhole geometry for our model to fully
justify the quantum extremal surface calculations with Euclidean gravitational
path integral, without using holography.
| [
{
"created": "Tue, 17 Jan 2023 12:14:42 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2023 18:13:14 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Feb 2023 17:17:25 GMT",
"version": "v3"
}
] | 2023-03-01 | [
[
"Xing",
"Yueren",
""
]
] | We set up a new version of black hole information paradox in an eternal Narayan black hole, a generic two-dimensional dilaton gravity theory with non-trivial on-shell bulk action and a product of dimensional reduction from higher-dimensional AdS black brane, joined to Minkowski bath on both sides. We also report both similarities as well as important differences between our model and the famous model of JT gravity coupled with baths. The contradiction of Hawking's result of entanglement entropy with unitarity is resolved by including a new saddle in the Euclidean gravitational path integral. As part of ongoing and developing research, we attempt, and have had partial success, to explicitly construct the replica wormhole geometry for our model to fully justify the quantum extremal surface calculations with Euclidean gravitational path integral, without using holography. |
2404.15566 | Raul Rojas PhD | Dumitru Astefanesei, Romina Ballesteros, Paulina Cabrera, Gonz\'alo
Casanova, Ra\'ul Rojas | On the existence of thermodynamically stable asymptotically flat black
holes | 23 pages, 9 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We use the quasilocal formalism of Brown and York, supplemented with
counterterms, to investigate the thermodynamics of asymptotically flat black
holes. We consider two families of exact regular black hole solutions, which
are thermodynamically stable. The first one consists of four-dimensional static
charged hairy black holes in extended supergravity. The second family consists
of five-dimensional static charged black holes in Gauss-Bonnet (GB) gravity.
Despite the fact that their characteristics are completely different, we found
a striking similarity between their thermodynamic behaviour.
| [
{
"created": "Tue, 23 Apr 2024 23:27:43 GMT",
"version": "v1"
}
] | 2024-04-25 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Ballesteros",
"Romina",
""
],
[
"Cabrera",
"Paulina",
""
],
[
"Casanova",
"Gonzálo",
""
],
[
"Rojas",
"Raúl",
""
]
] | We use the quasilocal formalism of Brown and York, supplemented with counterterms, to investigate the thermodynamics of asymptotically flat black holes. We consider two families of exact regular black hole solutions, which are thermodynamically stable. The first one consists of four-dimensional static charged hairy black holes in extended supergravity. The second family consists of five-dimensional static charged black holes in Gauss-Bonnet (GB) gravity. Despite the fact that their characteristics are completely different, we found a striking similarity between their thermodynamic behaviour. |
hep-th/0111068 | Cumrun Vafa | Amer Iqbal, Andrew Neitzke and Cumrun Vafa | A Mysterious Duality | 30 pages; A reference added; comments on quadratic transformation
added | Adv.Theor.Math.Phys.5:769-808,2002 | null | null | hep-th | null | We establish a correspondence between toroidal compactifications of M-theory
and del Pezzo surfaces. M-theory on T^k corresponds to P^2 blown up at k
generic points; Type IIB corresponds to P^1\times P^1. The moduli of
compactifications of M-theory on rectangular tori are mapped to Kahler moduli
of del Pezzo surfaces.The U-duality group of M-theory corresponds to a group of
classical symmetries of the del Pezzo represented by global diffeomorphisms.
The half-BPS brane charges of M-theory correspond to spheres in the del Pezzo,
and their tension to the exponentiated volume of the corresponding spheres. The
electric/magnetic pairing of branes is determined by the condition that the
union of the corresponding spheres represent the anticanonical class of the del
Pezzo. The condition that a pair of half-BPS states form a bound state is
mapped to a condition on the intersection of the corresponding spheres. We
present some speculations about the meaning of this duality.
| [
{
"created": "Wed, 7 Nov 2001 20:46:32 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Dec 2001 17:23:40 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Iqbal",
"Amer",
""
],
[
"Neitzke",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We establish a correspondence between toroidal compactifications of M-theory and del Pezzo surfaces. M-theory on T^k corresponds to P^2 blown up at k generic points; Type IIB corresponds to P^1\times P^1. The moduli of compactifications of M-theory on rectangular tori are mapped to Kahler moduli of del Pezzo surfaces.The U-duality group of M-theory corresponds to a group of classical symmetries of the del Pezzo represented by global diffeomorphisms. The half-BPS brane charges of M-theory correspond to spheres in the del Pezzo, and their tension to the exponentiated volume of the corresponding spheres. The electric/magnetic pairing of branes is determined by the condition that the union of the corresponding spheres represent the anticanonical class of the del Pezzo. The condition that a pair of half-BPS states form a bound state is mapped to a condition on the intersection of the corresponding spheres. We present some speculations about the meaning of this duality. |
1903.05451 | Bahareh Binaei | Bahareh Binaei Ghotbabadi and Ahmad Sheykhi and Gholamhossein Bordbar | Holographic paramagnetic-ferromagnetic phase transition with
Power-Maxwell electrodynamics | 7 pages,9 figures | null | 10.1016/j.physletb.2019.134896 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the effects of Power-Maxwell nonlinear electrodynamics on the
properties of holographic s-wave paramagnetic-ferromagnetic phase transition in
the background of Schwarzchild Anti-de Sitter (AdS) black hole. For this
purpose, we introduce a massive 2-form coupled to the Power-Maxwell field. We
perform the numerical shooting method in the probe limit by assuming the
Power-Maxwell and the 2-form fields do not back react on the background
geometry. We observe that increasing the strength of the power parameter causes
the formation of magnetic moment in the black hole background harder and
critical temperature lower. In the absence of external magnetic field and at
the low temperatures, the spontaneous magnetization and the ferromagnetic phase
transition happen. In this case, the critical exponent for magnetic moment is
always 1/2 which is in agreement with the result from the mean field theory. In
the presence of external magnetic field, the magnetic susceptibility satisfies
the Cure-Weiss law.
| [
{
"created": "Sun, 10 Mar 2019 08:51:48 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2019 10:19:23 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Ghotbabadi",
"Bahareh Binaei",
""
],
[
"Sheykhi",
"Ahmad",
""
],
[
"Bordbar",
"Gholamhossein",
""
]
] | We explore the effects of Power-Maxwell nonlinear electrodynamics on the properties of holographic s-wave paramagnetic-ferromagnetic phase transition in the background of Schwarzchild Anti-de Sitter (AdS) black hole. For this purpose, we introduce a massive 2-form coupled to the Power-Maxwell field. We perform the numerical shooting method in the probe limit by assuming the Power-Maxwell and the 2-form fields do not back react on the background geometry. We observe that increasing the strength of the power parameter causes the formation of magnetic moment in the black hole background harder and critical temperature lower. In the absence of external magnetic field and at the low temperatures, the spontaneous magnetization and the ferromagnetic phase transition happen. In this case, the critical exponent for magnetic moment is always 1/2 which is in agreement with the result from the mean field theory. In the presence of external magnetic field, the magnetic susceptibility satisfies the Cure-Weiss law. |
hep-th/9602049 | Emil Martinec | D. Kutasov and E. Martinec | New Principles for String/Membrane Unification | 26+2 pages, harvmac; minor errors corrected, references altered | Nucl.Phys. B477 (1996) 652-674 | 10.1016/0550-3213(96)00302-1 | EFI-96-04 | hep-th | null | The target space theory of the N=(2,1) heterotic string may be interpreted as
a theory of gravity coupled to matter in either $1+1$ or $2+1$ dimensions.
Among the target space theories in $1+1$ dimensions are the bosonic, type II,
and heterotic string world sheet field theories in a physical gauge. The $2+1$
dimensional version describes a consistent quantum theory of supermembranes in
$10+1$ dimensions. The unifying framework for all of these vacua is a theory of
$2+2$ dimensional self-dual geometries embedded in $10+2$ dimensions. There are
also indications that the N=(2,1) string describes the strong coupling dynamics
of compactifications of critical string theories to two dimensions, and may
lead to insights about the fundamental degrees of freedom of the theory.
| [
{
"created": "Sun, 11 Feb 1996 22:41:43 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 1996 22:14:34 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kutasov",
"D.",
""
],
[
"Martinec",
"E.",
""
]
] | The target space theory of the N=(2,1) heterotic string may be interpreted as a theory of gravity coupled to matter in either $1+1$ or $2+1$ dimensions. Among the target space theories in $1+1$ dimensions are the bosonic, type II, and heterotic string world sheet field theories in a physical gauge. The $2+1$ dimensional version describes a consistent quantum theory of supermembranes in $10+1$ dimensions. The unifying framework for all of these vacua is a theory of $2+2$ dimensional self-dual geometries embedded in $10+2$ dimensions. There are also indications that the N=(2,1) string describes the strong coupling dynamics of compactifications of critical string theories to two dimensions, and may lead to insights about the fundamental degrees of freedom of the theory. |
2111.10925 | Mykola Stetsko | Mois\'es Bravo-Gaete, M. M. Stetsko | Planar black holes configurations and shear viscosity in arbitrary
dimensions with shift and reflection symmetric scalar-tensor theories | 11 pages+epsilon, small improvements, accepted for publication Phys.
Rev. D | null | 10.1103/PhysRevD.105.024038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In higher dimensions, we explore planar hairy black hole configurations for a
special subclass of the Horndeski theory, defined by two coupling functions
depending on the kinetic term and enjoying shift symmetry and reflection
symmetry. For this analysis, we derive a set of new solutions, given by
time-dependent as well as time independent scalar field configurations.
Additionally, we calculate their thermodynamic quantities by using Wald
formalism, satisfying the First Law of Thermodynamics as well as a Smarr
relation. Together with the above, the Wald procedure allows us to compute the
shear viscosity, showing that for a suitable choice of the coupling functions
the Kovtun-Son-Starinets bound is violated.
| [
{
"created": "Sun, 21 Nov 2021 23:53:22 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jan 2022 03:40:19 GMT",
"version": "v2"
}
] | 2022-01-26 | [
[
"Bravo-Gaete",
"Moisés",
""
],
[
"Stetsko",
"M. M.",
""
]
] | In higher dimensions, we explore planar hairy black hole configurations for a special subclass of the Horndeski theory, defined by two coupling functions depending on the kinetic term and enjoying shift symmetry and reflection symmetry. For this analysis, we derive a set of new solutions, given by time-dependent as well as time independent scalar field configurations. Additionally, we calculate their thermodynamic quantities by using Wald formalism, satisfying the First Law of Thermodynamics as well as a Smarr relation. Together with the above, the Wald procedure allows us to compute the shear viscosity, showing that for a suitable choice of the coupling functions the Kovtun-Son-Starinets bound is violated. |
1805.12029 | George Prokhorov | G. Prokhorov, O. Teryaev and V. Zakharov | On axial current in rotating and accelerating medium | 9 pages, 1 figure | Phys. Rev. D 98, 071901 (2018) | 10.1103/PhysRevD.98.071901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Statistical average of the axial current is evaluated on the basis of the
covariant Wigner function. In the resulting formula, chemical potential $\mu$,
angular velocity $\Omega$ and acceleration $a$ enter in combination $\mu \pm
(\Omega \pm ia)/2$. The limiting cases of zero mass and zero temperature are
investigated in detail. In the zero-mass limit, the axial current is described
by a smooth function only at temperatures higher than the Unruh temperature. At
zero temperature, the axial current, as a function of the angular velocity and
chemical potential, vanishes in a two-dimensional plane region.
| [
{
"created": "Wed, 30 May 2018 15:13:38 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2018 19:36:29 GMT",
"version": "v2"
}
] | 2018-10-31 | [
[
"Prokhorov",
"G.",
""
],
[
"Teryaev",
"O.",
""
],
[
"Zakharov",
"V.",
""
]
] | Statistical average of the axial current is evaluated on the basis of the covariant Wigner function. In the resulting formula, chemical potential $\mu$, angular velocity $\Omega$ and acceleration $a$ enter in combination $\mu \pm (\Omega \pm ia)/2$. The limiting cases of zero mass and zero temperature are investigated in detail. In the zero-mass limit, the axial current is described by a smooth function only at temperatures higher than the Unruh temperature. At zero temperature, the axial current, as a function of the angular velocity and chemical potential, vanishes in a two-dimensional plane region. |
hep-th/0411260 | Nadav Drukker | Nadav Drukker | Removal of closed time-like curves by supertube domain walls | 5 pages, uses w-art.cls. Lecture notes from the RTN Workshop on the
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions, Kolymbari, Crete, Sep 2004 | Fortsch.Phys. 53 (2005) 874-878 | 10.1002/prop.200410238 | null | hep-th | null | We discuss how closed time-like curves can be eliminated from certain
supergravity backgrounds by inclusion of domain-walls made of supertubes.
Special emphasis is given to the mechanism by which the supertubes spread into
domain walls, which is similar to the enhanceon mechanism. Lecture notes from
my talk at the RTN meeting in Kolymbari, Crete, September 2004.
| [
{
"created": "Mon, 29 Nov 2004 13:21:40 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Drukker",
"Nadav",
""
]
] | We discuss how closed time-like curves can be eliminated from certain supergravity backgrounds by inclusion of domain-walls made of supertubes. Special emphasis is given to the mechanism by which the supertubes spread into domain walls, which is similar to the enhanceon mechanism. Lecture notes from my talk at the RTN meeting in Kolymbari, Crete, September 2004. |
hep-th/9805098 | Raimar Wulkenhaar | Thomas Krajewski and Raimar Wulkenhaar (CPT Luminy) | On Kreimer's Hopf algebra structure of Feynman graphs | 21 pages, LaTeX2e, requires feynmf package to draw Feynman graphs
(see log file for additional information). Following an idea by Dirk Kreimer
we introduced in the revised version a primitivator which maps overlapping
divergences to primitive elements and which provides the link to the Hopf
algebra of Kreimer (q-alg/9707029, hep-th/9808042). v4: error in eq (29)
corrected and references updated; to appear in Eur.Phys.J. C | Eur.Phys.J.C7:697-708,1999 | 10.1007/s100529801037 | CPT-98/P.3639 | hep-th | null | We reinvestigate Kreimer's Hopf algebra structure of perturbative quantum
field theories with a special emphasis on overlapping divergences. Kreimer
first disentangles overlapping divergences into a linear combination of
disjoint and nested ones and then tackles that linear combination by the Hopf
algebra operations. We present a formulation where the Hopf algebra operations
are directly defined on any type of divergence. We explain the precise relation
to Kreimer's Hopf algebra and obtain thereby a characterization of their
primitive elements.
| [
{
"created": "Sat, 16 May 1998 19:30:03 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 1998 07:58:17 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Sep 1998 13:21:12 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Nov 1998 09:46:39 GMT",
"version": "v4"
}
] | 2011-09-13 | [
[
"Krajewski",
"Thomas",
"",
"CPT Luminy"
],
[
"Wulkenhaar",
"Raimar",
"",
"CPT Luminy"
]
] | We reinvestigate Kreimer's Hopf algebra structure of perturbative quantum field theories with a special emphasis on overlapping divergences. Kreimer first disentangles overlapping divergences into a linear combination of disjoint and nested ones and then tackles that linear combination by the Hopf algebra operations. We present a formulation where the Hopf algebra operations are directly defined on any type of divergence. We explain the precise relation to Kreimer's Hopf algebra and obtain thereby a characterization of their primitive elements. |
hep-th/9803018 | null | R. Brustein, M. Gasperini and G. Veneziano | Duality in cosmological perturbation theory | 14 pages, LATEX, no figures | Phys.Lett. B431 (1998) 277-285 | 10.1016/S0370-2693(98)00576-0 | BGU-PH-98/02, CERN-TH/98-53 | hep-th gr-qc | null | Cosmological perturbation equations derived from low-energy effective actions
are shown to be invariant under a duality transformation reminiscent of
electric-magnetic, strong-weak coupling, S-duality. A manifestly
duality-invariant approximation for perturbations far outside the horizon is
introduced, and it is argued to be useful even during a high curvature epoch.
Duality manifests itself through a remnant symmetry acting on the classical
moduli of cosmological models, and implying lower bounds on the number and
energy density of produced particles.
| [
{
"created": "Tue, 3 Mar 1998 09:53:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Brustein",
"R.",
""
],
[
"Gasperini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] | Cosmological perturbation equations derived from low-energy effective actions are shown to be invariant under a duality transformation reminiscent of electric-magnetic, strong-weak coupling, S-duality. A manifestly duality-invariant approximation for perturbations far outside the horizon is introduced, and it is argued to be useful even during a high curvature epoch. Duality manifests itself through a remnant symmetry acting on the classical moduli of cosmological models, and implying lower bounds on the number and energy density of produced particles. |
1711.05821 | Tomasz Taylor | Wei Fan, A. Fotopoulos, S. Stieberger, T.R. Taylor | SV-map between Type I and Heterotic Sigma Models | 28 pages | null | 10.1016/j.nuclphysb.2018.02.024 | MPP--2017--194 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The scattering amplitudes of gauge bosons in heterotic and open superstring
theories are related by the single-valued projection which yields heterotic
amplitudes by selecting a subset of multiple zeta value coefficients in the
$\alpha'$ (string tension parameter) expansion of open string amplitudes. In
the present work, we argue that this relation holds also at the level of
low-energy expansions (or individual Feynman diagrams) of the respective
effective actions, by investigating the beta functions of two-dimensional sigma
models describing world-sheets of open and heterotic strings. We analyze the
sigma model Feynman diagrams generating identical effective action terms in
both theories and show that the heterotic coefficients are given by the
single-valued projection of the open ones. The single-valued projection appears
as a result of summing over all radial orderings of heterotic vertices on the
complex plane representing string world-sheet.
| [
{
"created": "Wed, 15 Nov 2017 21:59:34 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Fan",
"Wei",
""
],
[
"Fotopoulos",
"A.",
""
],
[
"Stieberger",
"S.",
""
],
[
"Taylor",
"T. R.",
""
]
] | The scattering amplitudes of gauge bosons in heterotic and open superstring theories are related by the single-valued projection which yields heterotic amplitudes by selecting a subset of multiple zeta value coefficients in the $\alpha'$ (string tension parameter) expansion of open string amplitudes. In the present work, we argue that this relation holds also at the level of low-energy expansions (or individual Feynman diagrams) of the respective effective actions, by investigating the beta functions of two-dimensional sigma models describing world-sheets of open and heterotic strings. We analyze the sigma model Feynman diagrams generating identical effective action terms in both theories and show that the heterotic coefficients are given by the single-valued projection of the open ones. The single-valued projection appears as a result of summing over all radial orderings of heterotic vertices on the complex plane representing string world-sheet. |
hep-th/0104154 | Ion | M. A. De Andrade, M. A. Santos and I. V. Vancea | Unconstrained Variables of Non-Commutative Open Strings | 8 pages, LATeX file | JHEP 0106 (2001) 026 | 10.1088/1126-6708/2001/06/026 | null | hep-th | null | The boundary conditions of the bosonic string theory in non-zero $B$-field
background are equivalent to the second class constraints of a discretized
version of the theory. By projecting the original canonical coordinates onto
the constraint surface we derive a set of coordinates of string that are
unconstrained.These coordinates represent a natural framework for the
quantization of the theory.
| [
{
"created": "Wed, 18 Apr 2001 14:42:34 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"De Andrade",
"M. A.",
""
],
[
"Santos",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] | The boundary conditions of the bosonic string theory in non-zero $B$-field background are equivalent to the second class constraints of a discretized version of the theory. By projecting the original canonical coordinates onto the constraint surface we derive a set of coordinates of string that are unconstrained.These coordinates represent a natural framework for the quantization of the theory. |
1505.04025 | Thomas Mertens | Thomas G. Mertens, Henri Verschelde, Valentin I. Zakharov | The long string at the stretched horizon and the entropy of large
non-extremal black holes | 19 pages, v2: added discussion on rotating black holes, matches
published version | JHEP 1602 (2016) 041 | 10.1007/JHEP02(2016)041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss how long strings can arise at the stretched horizon and how they
can account for the Bekenstein-Hawking entropy. We use the thermal scalar field
theory to derive the asymptotic density of states and corresponding stress
tensor of a microcanonical long string gas in Rindler space. We show that the
equality of the Hagedorn and Hawking temperatures gives rise to the tree-level
entropy of large black holes in accordance with the Bekenstein-Hawking-Wald
formula.
| [
{
"created": "Fri, 15 May 2015 11:06:30 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Feb 2016 15:19:39 GMT",
"version": "v2"
}
] | 2016-02-16 | [
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
],
[
"Zakharov",
"Valentin I.",
""
]
] | We discuss how long strings can arise at the stretched horizon and how they can account for the Bekenstein-Hawking entropy. We use the thermal scalar field theory to derive the asymptotic density of states and corresponding stress tensor of a microcanonical long string gas in Rindler space. We show that the equality of the Hagedorn and Hawking temperatures gives rise to the tree-level entropy of large black holes in accordance with the Bekenstein-Hawking-Wald formula. |
2102.10115 | Martin Bies | Martin Bies, Mirjam Cveti\v{c}, Ron Donagi, Muyang Liu, Marielle Ong | Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs | 38 pages + appendix | null | 10.1007/JHEP09(2021)076 | UPR-1309-T | hep-th math.AG | http://creativecommons.org/licenses/by/4.0/ | Motivated by the appearance of fractional powers of line bundles in studies
of vector-like spectra in 4d F-theory compactifications, we analyze the
structure and origin of these bundles. Fractional powers of line bundles are
also known as root bundles and can be thought of as generalizations of spin
bundles. We explain how these root bundles are linked to inequivalent F-theory
gauge potentials of a $G_4$-flux.
While this observation is interesting in its own right, it is particularly
valuable for F-theory Standard Model constructions. In aiming for MSSMs, it is
desired to argue for the absence of vector-like exotics. We work out the root
bundle constraints on all matter curves in the largest class of currently-known
F-theory Standard Model constructions without chiral exotics and gauge coupling
unification. On each matter curve, we conduct a systematic "bottom"-analysis of
all solutions to the root bundle constraints and all spin bundles. Thereby, we
derive a lower bound for the number of combinations of root bundles and spin
bundles whose cohomologies satisfy the physical demand of absence of
vector-like pairs.
On a technical level, this systematic study is achieved by a well-known
diagrammatic description of root bundles on nodal curves. We extend this
description by a counting procedure, which determines the cohomologies of
so-called limit root bundles on full blow-ups of nodal curves. By use of
deformation theory, these results constrain the vector-like spectra on the
smooth matter curves in the actual F-theory geometry.
| [
{
"created": "Fri, 19 Feb 2021 19:00:00 GMT",
"version": "v1"
}
] | 2021-10-04 | [
[
"Bies",
"Martin",
""
],
[
"Cvetič",
"Mirjam",
""
],
[
"Donagi",
"Ron",
""
],
[
"Liu",
"Muyang",
""
],
[
"Ong",
"Marielle",
""
]
] | Motivated by the appearance of fractional powers of line bundles in studies of vector-like spectra in 4d F-theory compactifications, we analyze the structure and origin of these bundles. Fractional powers of line bundles are also known as root bundles and can be thought of as generalizations of spin bundles. We explain how these root bundles are linked to inequivalent F-theory gauge potentials of a $G_4$-flux. While this observation is interesting in its own right, it is particularly valuable for F-theory Standard Model constructions. In aiming for MSSMs, it is desired to argue for the absence of vector-like exotics. We work out the root bundle constraints on all matter curves in the largest class of currently-known F-theory Standard Model constructions without chiral exotics and gauge coupling unification. On each matter curve, we conduct a systematic "bottom"-analysis of all solutions to the root bundle constraints and all spin bundles. Thereby, we derive a lower bound for the number of combinations of root bundles and spin bundles whose cohomologies satisfy the physical demand of absence of vector-like pairs. On a technical level, this systematic study is achieved by a well-known diagrammatic description of root bundles on nodal curves. We extend this description by a counting procedure, which determines the cohomologies of so-called limit root bundles on full blow-ups of nodal curves. By use of deformation theory, these results constrain the vector-like spectra on the smooth matter curves in the actual F-theory geometry. |
hep-th/9909117 | Emidio Gabrielli | E. Gabrielli | Extended Gauge Theories in Euclidean Space with Higher Spin Fields | LaTeX, 36 pages, section 4 expanded, new section 7 and new references
added, to appear in Annals of Physics | Annals Phys.287:229-259,2001 | 10.1006/aphy.2000.6107 | FTUAM/99/18 | hep-th hep-ph | null | The extended Yang-Mills gauge theory in Euclidean space is a renormalizable
(by power counting) gauge theory describing a local interacting theory of
scalar, vector, and tensor gauge fields (with maximum spin 2). In this article
we study the quantum aspects and various generalizations of this model in
Euclidean space. In particular the quantization of the pure gauge model in a
common class of covariant gauges is performed. We generalize the pure gauge
sector by including matter fermions in the adjoint representation of the gauge
group and analyze its N=1 and N=2 supersymmetric extensions. We show that the
maximum half-integer spin contained in these fermion fields in dimension 4 is
3/2. Moreover we develop an extension of this theory so as to include internal
gauge symmetries and the coupling to bosonic matter fields. The spontaneous
symmetry breaking of the extended gauge symmetry is also analyzed.
| [
{
"created": "Thu, 16 Sep 1999 19:25:28 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2000 20:41:11 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Sep 2000 17:33:01 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Gabrielli",
"E.",
""
]
] | The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study the quantum aspects and various generalizations of this model in Euclidean space. In particular the quantization of the pure gauge model in a common class of covariant gauges is performed. We generalize the pure gauge sector by including matter fermions in the adjoint representation of the gauge group and analyze its N=1 and N=2 supersymmetric extensions. We show that the maximum half-integer spin contained in these fermion fields in dimension 4 is 3/2. Moreover we develop an extension of this theory so as to include internal gauge symmetries and the coupling to bosonic matter fields. The spontaneous symmetry breaking of the extended gauge symmetry is also analyzed. |
hep-th/9608081 | null | Y. S. Kim | Neutrino Polarization as a Consequence of Gauge Invariance | 8 pages, latex, no figures, presented at the 2nd International
Workshop on Quantum Systems, Minsk, Belarus, May, 1996. To be published in
the Proceedings. For uncompressed version, send an e-mail to
<yskim@physics.umd.edu>, with NEUPOL.TEX on your Subject line | Czech.J.Phys.52:C353-C360,2002 | null | null | hep-th | null | It is pointed out that there are gauge-dependent and gauge-independent
spinors within the little-group framework for internal space-time symmetries of
massless particles. It is shown that two of the $SL(2,c)$ spinors are invariant
under gauge transformations while the remaining two are not. The Dirac equation
contains only the gauge-invariant spinors leading to polarized neutrinos. It is
shown that the gauge-dependent $SL(2,c)$ spinor is the origin of the gauge
dependence of electromagnetic four-potentials.
| [
{
"created": "Tue, 13 Aug 1996 15:25:47 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kim",
"Y. S.",
""
]
] | It is pointed out that there are gauge-dependent and gauge-independent spinors within the little-group framework for internal space-time symmetries of massless particles. It is shown that two of the $SL(2,c)$ spinors are invariant under gauge transformations while the remaining two are not. The Dirac equation contains only the gauge-invariant spinors leading to polarized neutrinos. It is shown that the gauge-dependent $SL(2,c)$ spinor is the origin of the gauge dependence of electromagnetic four-potentials. |
2110.06662 | Tigran Petrosyan | A. A. Saharian, T. A. Petrosyan, V. S. Torosyan | Mean field squared and energy-momentum tensor for the hyperbolic vacuum
in dS spacetime | 18 pages, no figures, discussion added | null | 10.1016/j.aop.2021.168728 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We evaluate the Hadamard function and the vacuum expectation values (VEVs) of
the field squared and energy-momentum tensor for a massless conformally coupled
scalar field in $(D+1)$-dimensional de Sitter (dS) spacetime foliated by
spatial sections of negative constant curvature. It is assumed that the field
is prepared in the hyperbolic vacuum state. An integral representation for the
difference of the Hadamard functions corresponding to the hyperbolic and
Bunch-Davies vacua is provided that is well adapted for the evaluation of the
expectation values in the coincidence limit. It is shown that the Bunch-Davies
state is interpreted as thermal with respect to the hyperbolic vacuum. An
expression for the corresponding density of states is provided. The relations
obtained for the difference in the VEVs for the Bunch-Davies and hyperbolic
vacua are compared with the corresponding relations for the Fulling-Rindler and
Minkowski vacua in flat spacetime. The similarity between those relations is
explained by the conformal connection of dS spacetime with hyperbolic foliation
and Rindler spacetime. As a limiting case, the VEVs for the conformal vacuum in
the Milne universe are discussed.
| [
{
"created": "Wed, 13 Oct 2021 11:54:53 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2021 07:19:07 GMT",
"version": "v2"
}
] | 2021-12-21 | [
[
"Saharian",
"A. A.",
""
],
[
"Petrosyan",
"T. A.",
""
],
[
"Torosyan",
"V. S.",
""
]
] | We evaluate the Hadamard function and the vacuum expectation values (VEVs) of the field squared and energy-momentum tensor for a massless conformally coupled scalar field in $(D+1)$-dimensional de Sitter (dS) spacetime foliated by spatial sections of negative constant curvature. It is assumed that the field is prepared in the hyperbolic vacuum state. An integral representation for the difference of the Hadamard functions corresponding to the hyperbolic and Bunch-Davies vacua is provided that is well adapted for the evaluation of the expectation values in the coincidence limit. It is shown that the Bunch-Davies state is interpreted as thermal with respect to the hyperbolic vacuum. An expression for the corresponding density of states is provided. The relations obtained for the difference in the VEVs for the Bunch-Davies and hyperbolic vacua are compared with the corresponding relations for the Fulling-Rindler and Minkowski vacua in flat spacetime. The similarity between those relations is explained by the conformal connection of dS spacetime with hyperbolic foliation and Rindler spacetime. As a limiting case, the VEVs for the conformal vacuum in the Milne universe are discussed. |
hep-th/0403067 | Thomas Grimm | Thomas W. Grimm, Jan Louis | The effective action of N=1 Calabi-Yau orientifolds | 40 pages, typos corrected, discussion of no-scale property improved | Nucl.Phys.B699:387-426,2004 | 10.1016/j.nuclphysb.2004.08.005 | null | hep-th | null | We determine the N=1 low energy effective action for compactifications of
type IIB string theory on compact Calabi-Yau orientifolds in the presence of
background fluxes from a Kaluza-Klein reduction. The analysis is performed for
Calabi-Yau threefolds which admit an isometric and holomorphic involution. We
explicitly compute the Kahler potential, the superpotential and the gauge
kinetic functions and check the consistency with N=1 supergravity. We find a
new class of no-scale Kahler potentials and show that their structure can be
best understood in terms of a dual formulation where some of the chiral
multiplets are replaced by linear multiplets. For O3- and O7-planes the scalar
potential is expressed in terms of a superpotential while for O5- and O9-planes
also a D-term and a massive linear multiplet can be present. The relation with
the associated F-theory compactifications is briefly discussed.
| [
{
"created": "Fri, 5 Mar 2004 12:35:19 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2004 18:32:13 GMT",
"version": "v2"
},
{
"created": "Fri, 28 May 2004 15:45:04 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Louis",
"Jan",
""
]
] | We determine the N=1 low energy effective action for compactifications of type IIB string theory on compact Calabi-Yau orientifolds in the presence of background fluxes from a Kaluza-Klein reduction. The analysis is performed for Calabi-Yau threefolds which admit an isometric and holomorphic involution. We explicitly compute the Kahler potential, the superpotential and the gauge kinetic functions and check the consistency with N=1 supergravity. We find a new class of no-scale Kahler potentials and show that their structure can be best understood in terms of a dual formulation where some of the chiral multiplets are replaced by linear multiplets. For O3- and O7-planes the scalar potential is expressed in terms of a superpotential while for O5- and O9-planes also a D-term and a massive linear multiplet can be present. The relation with the associated F-theory compactifications is briefly discussed. |
hep-th/9403007 | Frank Dodd Smith | F. D. T. Smith | Higgs and Fermions in D4-D5-E6 Model based on Cl(0,8) Clifford Algebra | 1+17 pages, THEP-94-2, LaTex | null | null | null | hep-th | null | This paper discusses the Higgs and spinor fermion terms of the D4-D5-E6 model
of a series of papers (hep-ph/9301210, hep-th/9302030, hep-th/9306011, and
hep-th/9402003) an 8-dimensional spacetime is reduced to 4-dimensions. The
gauge boson terms give SU(3)xSU(2)xU(1) for the color, weak, and
electromagnetic forces and gravity of the MacDowell-Mansouri type, which has
recently been shown by Nieto, Obregon, and Socorro (gr-qc/9402029) to be
equivalent, up to a Pontrjagin topological term, to the Ashtekar formulation.
| [
{
"created": "Wed, 2 Mar 1994 08:21:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Smith",
"F. D. T.",
""
]
] | This paper discusses the Higgs and spinor fermion terms of the D4-D5-E6 model of a series of papers (hep-ph/9301210, hep-th/9302030, hep-th/9306011, and hep-th/9402003) an 8-dimensional spacetime is reduced to 4-dimensions. The gauge boson terms give SU(3)xSU(2)xU(1) for the color, weak, and electromagnetic forces and gravity of the MacDowell-Mansouri type, which has recently been shown by Nieto, Obregon, and Socorro (gr-qc/9402029) to be equivalent, up to a Pontrjagin topological term, to the Ashtekar formulation. |
hep-th/9611032 | Lawrence M. Krauss | Lawrence M. Krauss and Hong Liu (Case Western Reserve University) | Quantum Hair, Instantons, and Black Hole Thermodynamics: Some New
Results | 35 pages, Latex, submitted to Nuclear Physics B: minor typos
corrected | Nucl.Phys. B491 (1997) 365-386 | 10.1016/S0550-3213(97)00053-9 | CWRU-P17-96 | hep-th gr-qc | null | We present results obtained by a consideration of the non-classical energy
momentum tensor associated with Euclidean Instantons outside the event horizon
of black holes. We demonstrate here how this allows an analytic estimate to be
made of the effect of discrete quantum hair on the temperature of the black
hole, in which the role of violations of the weak energy condition associated
with instantons is made explicit, and in which the previous results of Coleman,
Preskill, and Wilczek are extended. Last, we demonstrate how the existence of a
non-classical electric field outside the event horizon of black holes,
uncovered by these authors, can be identified with a well-known effect in the
Abelian-Higgs model in two dimensions. In this case, there is a one-to-one
connection between the discrete charge of a black hole and a topological phase
in two dimensions.
| [
{
"created": "Tue, 5 Nov 1996 22:51:01 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Nov 1996 20:29:37 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Krauss",
"Lawrence M.",
"",
"Case Western Reserve University"
],
[
"Liu",
"Hong",
"",
"Case Western Reserve University"
]
] | We present results obtained by a consideration of the non-classical energy momentum tensor associated with Euclidean Instantons outside the event horizon of black holes. We demonstrate here how this allows an analytic estimate to be made of the effect of discrete quantum hair on the temperature of the black hole, in which the role of violations of the weak energy condition associated with instantons is made explicit, and in which the previous results of Coleman, Preskill, and Wilczek are extended. Last, we demonstrate how the existence of a non-classical electric field outside the event horizon of black holes, uncovered by these authors, can be identified with a well-known effect in the Abelian-Higgs model in two dimensions. In this case, there is a one-to-one connection between the discrete charge of a black hole and a topological phase in two dimensions. |
2205.15244 | Nele Callebaut | Nele Callebaut and Gilad Lifschytz | Reconstructing bulk equation of motion using CFT modular Hamiltonians | 21 + 15 pages | null | 10.1007/JHEP08(2022)289 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the framework of bulk reconstruction, we elucidate the relationship
between the action of CFT modular Hamiltonians on bulk operators, the possible
equation of motion for the bulk operators, and the charge distribution at
infinity corresponding to such bulk fields. In particular for scalar fields
interacting with gravity or with gauge fields, we show how CFT considerations
of the action of the modular Hamiltonian constrain the possible bulk equation
of motion to be consistent with bulk gauge invariance and diffeomorphism
invariance. In fact we show that requiring that the action of the modular
Hamiltonian on a dressed bulk scalar operator be compatible with some unknown
simple equation of motion, fixes, under reasonable assumptions, both the
equation of motion and the action of the modular Hamiltonian once the first
order $\frac{1}{N}$ terms are known.
| [
{
"created": "Mon, 30 May 2022 16:56:04 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Callebaut",
"Nele",
""
],
[
"Lifschytz",
"Gilad",
""
]
] | In the framework of bulk reconstruction, we elucidate the relationship between the action of CFT modular Hamiltonians on bulk operators, the possible equation of motion for the bulk operators, and the charge distribution at infinity corresponding to such bulk fields. In particular for scalar fields interacting with gravity or with gauge fields, we show how CFT considerations of the action of the modular Hamiltonian constrain the possible bulk equation of motion to be consistent with bulk gauge invariance and diffeomorphism invariance. In fact we show that requiring that the action of the modular Hamiltonian on a dressed bulk scalar operator be compatible with some unknown simple equation of motion, fixes, under reasonable assumptions, both the equation of motion and the action of the modular Hamiltonian once the first order $\frac{1}{N}$ terms are known. |
hep-th/9404094 | Alexandr Andrianov | St\'ephane OUVRY (Division de Physique Th\'eorique, IPN, Orsay
Fr-91406) | On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon
Models | 11 pages, e-mail : OUVRY@FRCPN11 | Phys.Rev. D50 (1994) 5296-5299 | 10.1103/PhysRevD.50.5296 | null | hep-th | null | One discusses the validity and equivalence of various perturbative approaches
for the Aharonov -Bohm and Anyon models.
| [
{
"created": "Fri, 15 Apr 1994 14:04:27 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"OUVRY",
"Stéphane",
"",
"Division de Physique Théorique, IPN, Orsay\n Fr-91406"
]
] | One discusses the validity and equivalence of various perturbative approaches for the Aharonov -Bohm and Anyon models. |
hep-th/0002124 | Marc-Andre Lewis | Marc-Andre Lewis and Yvan Saint-Aubin | Boundary states for a free boson defined on finite geometries | 16 pages, LaTeX (uses AMS components). Revised version; an analogy
with string theory computations is discussed and references added | J.Phys.A34:845-860,2001 | 10.1088/0305-4470/34/4/311 | null | hep-th cond-mat.stat-mech | null | Langlands recently constructed a map that factorizes the partition function
of a free boson on a cylinder with boundary condition given by two arbitrary
functions in the form of a scalar product of boundary states. We rewrite these
boundary states in a compact form, getting rid of technical assumptions
necessary in his construction. This simpler form allows us to show explicitly
that the map between boundary conditions and states commutes with conformal
transformations preserving the boundary and the reality condition on the scalar
field.
| [
{
"created": "Tue, 15 Feb 2000 14:08:27 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2000 15:22:26 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lewis",
"Marc-Andre",
""
],
[
"Saint-Aubin",
"Yvan",
""
]
] | Langlands recently constructed a map that factorizes the partition function of a free boson on a cylinder with boundary condition given by two arbitrary functions in the form of a scalar product of boundary states. We rewrite these boundary states in a compact form, getting rid of technical assumptions necessary in his construction. This simpler form allows us to show explicitly that the map between boundary conditions and states commutes with conformal transformations preserving the boundary and the reality condition on the scalar field. |
2202.06290 | Hasan El Moumni | A. Belhaj, M. Benali, H. El Moumni, M. A. Essebani, M. B. Sedra and Y.
Sekhmani | Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black
Holes | 27 pages, 9 figures, accepted in IJGMMP | null | 10.1142/S0219887822500967 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by Dark Energy (DE) activities, we study certain physical behaviors
of the quintessential Hayward-AdS black holes in four dimensions. We generalize
some physical properties of the ordinary Hayward AdS black holes without the
dark sector. We elaborate a study in terms of the new quantities $c$ and
$\omega_q$ parametrizing the dark sector moduli space. We investigate the
effect of such parameters on certain thermodynamic and optical aspects. To show
the quintessential thermodynamic behaviors, we first reconsider the critical
properties of ordinary solutions. We find that the equation of state predicts a
universal ratio given by $\chi_0=\frac{P_cv_c}{T_c}=\frac{27-3\sqrt{6}}{50}$,
which is different than the universal one appearing for Van der Waals fluids.
Considering the quintessential solutions and taking certain values of the DE
state parameter $\omega_q$, we observe that the new ratio depends on the DE
scalar field intensity $c$. In certain regions of the moduli space, we show
that this ratio can be factorized using two terms describing the absence and
the presence of the dark sector. Then, we analyze also the DE effect on the
heat engines. For the optical aspect, we study the influence of DE on the
shadows using one-dimensional real curves. Finally, we discuss the associated
energy emission rate, using the dark sector.
| [
{
"created": "Sun, 13 Feb 2022 11:59:18 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2022 19:20:14 GMT",
"version": "v2"
}
] | 2022-03-15 | [
[
"Belhaj",
"A.",
""
],
[
"Benali",
"M.",
""
],
[
"Moumni",
"H. El",
""
],
[
"Essebani",
"M. A.",
""
],
[
"Sedra",
"M. B.",
""
],
[
"Sekhmani",
"Y.",
""
]
] | Motivated by Dark Energy (DE) activities, we study certain physical behaviors of the quintessential Hayward-AdS black holes in four dimensions. We generalize some physical properties of the ordinary Hayward AdS black holes without the dark sector. We elaborate a study in terms of the new quantities $c$ and $\omega_q$ parametrizing the dark sector moduli space. We investigate the effect of such parameters on certain thermodynamic and optical aspects. To show the quintessential thermodynamic behaviors, we first reconsider the critical properties of ordinary solutions. We find that the equation of state predicts a universal ratio given by $\chi_0=\frac{P_cv_c}{T_c}=\frac{27-3\sqrt{6}}{50}$, which is different than the universal one appearing for Van der Waals fluids. Considering the quintessential solutions and taking certain values of the DE state parameter $\omega_q$, we observe that the new ratio depends on the DE scalar field intensity $c$. In certain regions of the moduli space, we show that this ratio can be factorized using two terms describing the absence and the presence of the dark sector. Then, we analyze also the DE effect on the heat engines. For the optical aspect, we study the influence of DE on the shadows using one-dimensional real curves. Finally, we discuss the associated energy emission rate, using the dark sector. |
hep-th/0412093 | Joanna L. Karczmarek | Sumit R. Das and Joanna L. Karczmarek | Spacelike boundaries from the c=1 Matrix Model | 22 pages, 5 figures, v2: reference added, v3: minor corrections | Phys.Rev. D71 (2005) 086006 | 10.1103/PhysRevD.71.086006 | UK-04-20 | hep-th | null | We find classical solutions of two dimensional noncritical string theory
which give rise to geometries with spacelike boundaries, similar to spacetimes
with cosmological event horizons. In the c=1 matrix model, these solutions have
a representation as simple time dependent configurations. We obtain the causal
structure of the resulting spacetimes. Using the macroscopic loop transform, we
probe the form of the tachyon condensate in the asymptotic regions.
| [
{
"created": "Wed, 8 Dec 2004 20:04:42 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2004 19:17:21 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Feb 2005 16:01:39 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Das",
"Sumit R.",
""
],
[
"Karczmarek",
"Joanna L.",
""
]
] | We find classical solutions of two dimensional noncritical string theory which give rise to geometries with spacelike boundaries, similar to spacetimes with cosmological event horizons. In the c=1 matrix model, these solutions have a representation as simple time dependent configurations. We obtain the causal structure of the resulting spacetimes. Using the macroscopic loop transform, we probe the form of the tachyon condensate in the asymptotic regions. |
1409.7558 | Dmitry Ageev | D. S. Ageev and I. Ya. Aref'eva | Holographic Thermalization in Quark Confining Background | 14 pages, 8 figures. v2: few remarks, one ref. and one figure added.
v3: minor corrections and clarifications in sections 3 and 5 | null | 10.1134/S1063776115030012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic thermalization of a strongly coupled theory inspired by
two colliding shock waves in a vacuum confining background. Holographic
thermalization means a black hole formation, in fact a trapped surface
formation. As a vacuum confining background we considered a well know bottom-up
AdS/QCD model that provides the Cornell potential as well as reproduces QCD
beta-function. We perturb vacuum background by colliding domain shock waves,
that are assumed to be holographically dual to heavy ions collisions. Our main
physical assumption is that we can make a restriction on the time of a trapped
surface production that makes a natural limitation on the size of the domain
where the trapped surface is produced. This limits the intermediate domain
where the main part of the entropy is produced. In this domain one can use an
intermediate vacuum background as an approximation to the full confining
background. In this intermediate background a dependence of the produced
entropy on colliding energy is very similar to the experimental dependence of
particles multiplicities on colliding ions energy obtained from RHIC and LHC.
This permits us to conclude that the entropy produced in collisions of domain
shock waves during a short time models rather well the experimental data.
| [
{
"created": "Fri, 26 Sep 2014 12:49:45 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2014 15:36:15 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Nov 2014 00:12:12 GMT",
"version": "v3"
}
] | 2015-06-23 | [
[
"Ageev",
"D. S.",
""
],
[
"Aref'eva",
"I. Ya.",
""
]
] | We study holographic thermalization of a strongly coupled theory inspired by two colliding shock waves in a vacuum confining background. Holographic thermalization means a black hole formation, in fact a trapped surface formation. As a vacuum confining background we considered a well know bottom-up AdS/QCD model that provides the Cornell potential as well as reproduces QCD beta-function. We perturb vacuum background by colliding domain shock waves, that are assumed to be holographically dual to heavy ions collisions. Our main physical assumption is that we can make a restriction on the time of a trapped surface production that makes a natural limitation on the size of the domain where the trapped surface is produced. This limits the intermediate domain where the main part of the entropy is produced. In this domain one can use an intermediate vacuum background as an approximation to the full confining background. In this intermediate background a dependence of the produced entropy on colliding energy is very similar to the experimental dependence of particles multiplicities on colliding ions energy obtained from RHIC and LHC. This permits us to conclude that the entropy produced in collisions of domain shock waves during a short time models rather well the experimental data. |
0709.3299 | Bret Underwood | Min-xin Huang, Gary Shiu, Bret Underwood | Multifield DBI Inflation and Non-Gaussianities | 7 pages, 4 figures; v2. references added; v3. typos corrected,
matches published version | Phys.Rev.D77:023511,2008 | 10.1103/PhysRevD.77.023511 | MAD-TH-07-10, CERN-PH-TH-2007-166 | hep-th astro-ph gr-qc hep-ph | null | We analyze the trajectories for multifield DBI inflation, which can arise in
brane inflation models, and show that the trajectories are the same as in
typical slow roll inflation. We calculate the power spectrum and find that the
higher derivative terms of the DBI action lead to a suppression of the
contribution from the isocurvature perturbations. We also calculate the
bispectrum generated by the isocurvature perturbation, and find that it leads
to distinctive features.
| [
{
"created": "Thu, 20 Sep 2007 20:01:28 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2007 15:01:27 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jan 2008 16:17:22 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Huang",
"Min-xin",
""
],
[
"Shiu",
"Gary",
""
],
[
"Underwood",
"Bret",
""
]
] | We analyze the trajectories for multifield DBI inflation, which can arise in brane inflation models, and show that the trajectories are the same as in typical slow roll inflation. We calculate the power spectrum and find that the higher derivative terms of the DBI action lead to a suppression of the contribution from the isocurvature perturbations. We also calculate the bispectrum generated by the isocurvature perturbation, and find that it leads to distinctive features. |
hep-th/0510185 | Juan Antonio Nieto | J. A. Nieto | Toward a Connection between the Oriented Matroid Theory and
Supersymmetry | 10 pages, Latex | null | null | null | hep-th | null | We considered the possibility that the oriented matroid theory is connected
with supersymmetry via the Grassmann-Plucker relations. The main reason for
this, is that such relations arise in both in the chirotopes definition of an
oriented matroid, and in maximally supersymmetric solutions of eleven- and
ten-dimensional supergravity theories. Taking this observation as a motivation,
and using the concept of a phirotope, we propose a mechanism to implement
supersymmetry in the context of the oriented matroid theory.
| [
{
"created": "Fri, 21 Oct 2005 18:49:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nieto",
"J. A.",
""
]
] | We considered the possibility that the oriented matroid theory is connected with supersymmetry via the Grassmann-Plucker relations. The main reason for this, is that such relations arise in both in the chirotopes definition of an oriented matroid, and in maximally supersymmetric solutions of eleven- and ten-dimensional supergravity theories. Taking this observation as a motivation, and using the concept of a phirotope, we propose a mechanism to implement supersymmetry in the context of the oriented matroid theory. |
2209.11227 | Sanjit Shashi | Shovon Biswas, Jani Kastikainen, Sanjit Shashi, James Sully | Holographic BCFT Spectra from Brane Mergers | 56 pages (including appendices) + references, 23 figures; v3: added
construction of excited states in open-string channel, version to appear in
JHEP | null | 10.1007/JHEP11(2022)158 | UTWI-02-2022 | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to study the spectra of boundary conformal field theories
(BCFTs). To do so, we consider a 2-dimensional Euclidean BCFT with two circular
boundaries that correspond to dynamical end-of-the-world branes in
3-dimensional gravity. Interactions between these branes inform the operator
content and the energy spectrum of the dual BCFT. As a proof of concept, we
first consider two highly separated branes whose only interaction is taken to
be mediated by a scalar field. The holographic computation of the
scalar-mediated exchange reproduces a light scalar primary and its global
descendants in the closed-string channel of the dual BCFT. We then consider a
gravity model with point particles. Here, the interaction of two separated
branes corresponds to a heavy operator which lies below the black hole
threshold. However, we may also consider branes at finite separation that
"merge" non-smoothly. Such brane mergers can be used to describe unitary
sub-threshold boundary-condition-changing operators in the open-string spectrum
of the BCFT. We also find a new class of sub-threshold Euclidean bra-ket
wormhole saddles with a factorization puzzle for closed-string amplitudes.
| [
{
"created": "Thu, 22 Sep 2022 17:59:51 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2022 17:59:58 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Nov 2022 18:59:59 GMT",
"version": "v3"
}
] | 2022-12-01 | [
[
"Biswas",
"Shovon",
""
],
[
"Kastikainen",
"Jani",
""
],
[
"Shashi",
"Sanjit",
""
],
[
"Sully",
"James",
""
]
] | We use holography to study the spectra of boundary conformal field theories (BCFTs). To do so, we consider a 2-dimensional Euclidean BCFT with two circular boundaries that correspond to dynamical end-of-the-world branes in 3-dimensional gravity. Interactions between these branes inform the operator content and the energy spectrum of the dual BCFT. As a proof of concept, we first consider two highly separated branes whose only interaction is taken to be mediated by a scalar field. The holographic computation of the scalar-mediated exchange reproduces a light scalar primary and its global descendants in the closed-string channel of the dual BCFT. We then consider a gravity model with point particles. Here, the interaction of two separated branes corresponds to a heavy operator which lies below the black hole threshold. However, we may also consider branes at finite separation that "merge" non-smoothly. Such brane mergers can be used to describe unitary sub-threshold boundary-condition-changing operators in the open-string spectrum of the BCFT. We also find a new class of sub-threshold Euclidean bra-ket wormhole saddles with a factorization puzzle for closed-string amplitudes. |
1910.07805 | Etienne Granet | Zolt\'an Bajnok, Etienne Granet, Jesper Lykke Jacobsen, Rafael I.
Nepomechie | On Generalized $Q$-systems | 27 pages. New version: included code, modified sec 3.2, and a few
minor changes | JHEP, article number 177 (2020) | 10.1007/JHEP03(2020)177 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate $Q$-systems for the closed XXZ, open XXX and open
quantum-group-invariant XXZ quantum spin chains. Polynomial solutions of these
$Q$-systems can be found efficiently, which in turn lead directly to the
admissible solutions of the corresponding Bethe ansatz equations.
| [
{
"created": "Thu, 17 Oct 2019 10:15:12 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 09:36:44 GMT",
"version": "v2"
}
] | 2021-05-19 | [
[
"Bajnok",
"Zoltán",
""
],
[
"Granet",
"Etienne",
""
],
[
"Jacobsen",
"Jesper Lykke",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] | We formulate $Q$-systems for the closed XXZ, open XXX and open quantum-group-invariant XXZ quantum spin chains. Polynomial solutions of these $Q$-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding Bethe ansatz equations. |
0711.2680 | Joanna L. Karczmarek | Joanna L. Karczmarek | Quantum behaviour near a spacelike boundary in the c=1 matrix model | 21 pages, 2 figures, minor corrections | Phys.Rev.D78:026003,2008 | 10.1103/PhysRevD.78.026003 | null | hep-th | null | Certain time dependent configurations in the c=1 matrix model correspond to
string theory backgrounds which have spacelike boundaries and appear
geodesically incomplete. We investigate quantum mechanical properties of a
class of such configurations in the matrix model, in terms of fermionic
eigenvalues. We describe Hamiltonian evolution of the eigenvalue density using
several different time variables, some of which are infinite and some of which
are finite in extent. We derive unitary transformations relating these
different descriptions, and use those to calculate fermion correlators in the
time dependent background. Using the chiral formalism, we write the time
dependent configurations as a state in the original matrix model Hilbert space.
| [
{
"created": "Mon, 19 Nov 2007 18:19:29 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Mar 2008 23:20:08 GMT",
"version": "v2"
}
] | 2008-11-07 | [
[
"Karczmarek",
"Joanna L.",
""
]
] | Certain time dependent configurations in the c=1 matrix model correspond to string theory backgrounds which have spacelike boundaries and appear geodesically incomplete. We investigate quantum mechanical properties of a class of such configurations in the matrix model, in terms of fermionic eigenvalues. We describe Hamiltonian evolution of the eigenvalue density using several different time variables, some of which are infinite and some of which are finite in extent. We derive unitary transformations relating these different descriptions, and use those to calculate fermion correlators in the time dependent background. Using the chiral formalism, we write the time dependent configurations as a state in the original matrix model Hilbert space. |
0704.3413 | Pietro Antonio Grassi | Pietro Fr\'e, Pietro Antonio Grassi | Constrained Supermanifolds for AdS M-Theory Backgrounds | LaTex, 47 pages, no figures | JHEP0801:036,2008 | 10.1088/1126-6708/2008/01/036 | DISTA-2007 | hep-th | null | A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or
AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In
parallel with the supersolvable realization of the AdS_4 x S^7 background based
on Kappa-symmetry, we develop a technique which amounts to solving the
above-mentioned problem in a way useful for pure spinor quantization for
supermembranes and superstrings. Instead of gauge fixing some of the superspace
coordinates to zero, we impose an additional constraint on them reproducing the
simplifications of the supersolvable representations. The constraints are
quadratic, homogeneous, Sp(4,R)-covariant, and consistent from the quantum
point of view in the pure spinor approach. Here we provide the geometrical
solution which, in a subsequent work, will be applied to the membrane and the
superstring sigma models.
| [
{
"created": "Wed, 25 Apr 2007 17:15:58 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fré",
"Pietro",
""
],
[
"Grassi",
"Pietro Antonio",
""
]
] | A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersolvable realization of the AdS_4 x S^7 background based on Kappa-symmetry, we develop a technique which amounts to solving the above-mentioned problem in a way useful for pure spinor quantization for supermembranes and superstrings. Instead of gauge fixing some of the superspace coordinates to zero, we impose an additional constraint on them reproducing the simplifications of the supersolvable representations. The constraints are quadratic, homogeneous, Sp(4,R)-covariant, and consistent from the quantum point of view in the pure spinor approach. Here we provide the geometrical solution which, in a subsequent work, will be applied to the membrane and the superstring sigma models. |
hep-th/0411015 | Jose M. Isidro | J.M. Isidro | Generalised Complex Geometry and the Planck Cone | 9 pages | Int.J.Mod.Phys.A21:1189-1197,2006 | 10.1142/S0217751X06025201 | null | hep-th math.DG quant-ph | null | Complex geometry and symplectic geometry are mirrors in string theory. The
recently developed generalised complex geometry interpolates between the two of
them. On the other hand, the classical and quantum mechanics of a finite number
of degrees of freedom are respectively described by a symplectic structure and
a complex structure on classical phase space. In this letter we analyse the
role played by generalised complex geometry in the classical and quantum
mechanics of a finite number of degrees of freedom. We identify generalised
complex geometry as an appropriate geometrical setup for dualities. The latter
are interpreted as transformations connecting points in the interior of the
Planck cone with points in the exterior, and viceversa. The Planck cone bears
some resemblance with the relativistic light-cone. However the latter cannot be
traversed by physical particles, while dualities do connect the region outside
the Planck cone with the region inside, and viceversa.
| [
{
"created": "Mon, 1 Nov 2004 11:04:02 GMT",
"version": "v1"
}
] | 2010-11-05 | [
[
"Isidro",
"J. M.",
""
]
] | Complex geometry and symplectic geometry are mirrors in string theory. The recently developed generalised complex geometry interpolates between the two of them. On the other hand, the classical and quantum mechanics of a finite number of degrees of freedom are respectively described by a symplectic structure and a complex structure on classical phase space. In this letter we analyse the role played by generalised complex geometry in the classical and quantum mechanics of a finite number of degrees of freedom. We identify generalised complex geometry as an appropriate geometrical setup for dualities. The latter are interpreted as transformations connecting points in the interior of the Planck cone with points in the exterior, and viceversa. The Planck cone bears some resemblance with the relativistic light-cone. However the latter cannot be traversed by physical particles, while dualities do connect the region outside the Planck cone with the region inside, and viceversa. |
2210.09893 | Tommaso Canneti | Francesco Bigazzi, Tommaso Canneti, Aldo L. Cotrone | On the Hagedorn Temperature in Holographic Confining Gauge Theories | LaTeX, 37 pages, 1 figure; v3: comments and references added, typos
corrected | J. High Energ. Phys. 2023, 34 (2023) | 10.1007/JHEP01(2023)034 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The divergence of the string partition function due to the exponential growth
of states is a well-understood issue in flat spacetime. It can be interpreted
as the appearance of tachyon modes above a certain temperature, known as the
Hagedorn temperature $T_H$. In the literature, one can find some intuitions
about its generalization to curved spacetimes, where computations are extremely
hard and explicit results cannot be provided in general. In this paper, we
present a genus-zero estimate of $T_H$, at leading order in $\alpha'$, for
string theories on curved backgrounds holographically dual to confining gauge
theories. This is a particularly interesting case, since the holographic
correspondence equates $T_H$ with the Hagedorn temperature of the dual gauge
theories. For concreteness we focus on Type IIA string theory on a well known
background dual to an $SU(N)$ Yang-Mills theory. The resulting Hagedorn
temperature turns out to be proportional to the square root of the Yang-Mills
confining string tension. The related coefficient, which at leading order is
analytically determined, is the same as the one for Type II theories in flat
space. While the calculation is performed in a specific model, the result
applies in full generality to confining gauge theories with a top-down
holographic dual.
| [
{
"created": "Tue, 18 Oct 2022 14:32:30 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2023 14:35:04 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2023 15:06:11 GMT",
"version": "v3"
}
] | 2023-06-07 | [
[
"Bigazzi",
"Francesco",
""
],
[
"Canneti",
"Tommaso",
""
],
[
"Cotrone",
"Aldo L.",
""
]
] | The divergence of the string partition function due to the exponential growth of states is a well-understood issue in flat spacetime. It can be interpreted as the appearance of tachyon modes above a certain temperature, known as the Hagedorn temperature $T_H$. In the literature, one can find some intuitions about its generalization to curved spacetimes, where computations are extremely hard and explicit results cannot be provided in general. In this paper, we present a genus-zero estimate of $T_H$, at leading order in $\alpha'$, for string theories on curved backgrounds holographically dual to confining gauge theories. This is a particularly interesting case, since the holographic correspondence equates $T_H$ with the Hagedorn temperature of the dual gauge theories. For concreteness we focus on Type IIA string theory on a well known background dual to an $SU(N)$ Yang-Mills theory. The resulting Hagedorn temperature turns out to be proportional to the square root of the Yang-Mills confining string tension. The related coefficient, which at leading order is analytically determined, is the same as the one for Type II theories in flat space. While the calculation is performed in a specific model, the result applies in full generality to confining gauge theories with a top-down holographic dual. |
hep-th/9708042 | Andrei Johansen | D. Anselmi, D.Z. Freedman, M.T. Grisaru, A.A. Johansen | Nonperturbative Formulas for Central Functions of Supersymmetric Gauge
Theories | latex, 27 pages | Nucl.Phys.B526:543-571,1998 | 10.1016/S0550-3213(98)00278-8 | BRX-TH-420, CPTH-S.553.0897, HUTP-97/A037, MIT-CTP-2666 | hep-th | null | For quantum field theories that flow between ultraviolet and infrared fixed
points, central functions, defined from two-point correlators of the stress
tensor and conserved currents, interpolate between central charges of the UV
and IR critical theories. We develop techniques that allow one to calculate the
flows of the central charges and that of the Euler trace anomaly coefficient in
a general N=1 supersymmetric gauge theory. Exact, explicit formulas for
$SU(N_c)$ gauge theories in the conformal window are given and analysed. The
Euler anomaly coefficient always satisfies the inequality $% a_{UV}-a_{IR}>0$.
This is new evidence in strongly coupled theories that this quantity satisfies
a four-dimensional analogue of the $c$-theorem, supporting the idea of
irreversibility of the RG flow. Various other implications are discussed.
| [
{
"created": "Thu, 7 Aug 1997 15:47:50 GMT",
"version": "v1"
}
] | 2009-10-08 | [
[
"Anselmi",
"D.",
""
],
[
"Freedman",
"D. Z.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Johansen",
"A. A.",
""
]
] | For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents, interpolate between central charges of the UV and IR critical theories. We develop techniques that allow one to calculate the flows of the central charges and that of the Euler trace anomaly coefficient in a general N=1 supersymmetric gauge theory. Exact, explicit formulas for $SU(N_c)$ gauge theories in the conformal window are given and analysed. The Euler anomaly coefficient always satisfies the inequality $% a_{UV}-a_{IR}>0$. This is new evidence in strongly coupled theories that this quantity satisfies a four-dimensional analogue of the $c$-theorem, supporting the idea of irreversibility of the RG flow. Various other implications are discussed. |
hep-th/9912001 | Steven Gubser | Steven S. Gubser | AdS/CFT and gravity | 27 pages, two figures, latex. v2: No log in first correction to
Newton's law! Refs added, other minor improvements. v3: Refinements and
further refs | Phys.Rev. D63 (2001) 084017 | 10.1103/PhysRevD.63.084017 | HUTP-99/A065 | hep-th | null | The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a
codimension one hypersurface of constant extrinsic curvature in the
five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology
in this way is an expected result from AdS/CFT in light of recent comments
regarding the coupling of gravity to "boundary" conformal field theories. I
remark on how this calculation bears on the understanding of Randall and
Sundrum's "alternative to compactification." A generalization of the AdS/CFT
prescription for computing Green's functions is suggested, and it is shown how
gravity emerges from it with a strength G_4 = 2 G_5/L. Some numerical bounds
are set on the radius of curvature L of AdS_5. One of them comes from
estimating the rate of leakage of visible sector energy into the CFT. That rate
is connected via a unitarity relation to deviations from Newton's force law at
short distances. The best bound on L obtained in this paper comes from a match
to the parameters of string theory. It is L < 1 nm if the string scale is 1
GeV. Higher string scales imply a tighter bound on L.
| [
{
"created": "Wed, 1 Dec 1999 23:49:29 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Dec 1999 20:07:01 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jan 2000 17:12:02 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Gubser",
"Steven S.",
""
]
] | The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an expected result from AdS/CFT in light of recent comments regarding the coupling of gravity to "boundary" conformal field theories. I remark on how this calculation bears on the understanding of Randall and Sundrum's "alternative to compactification." A generalization of the AdS/CFT prescription for computing Green's functions is suggested, and it is shown how gravity emerges from it with a strength G_4 = 2 G_5/L. Some numerical bounds are set on the radius of curvature L of AdS_5. One of them comes from estimating the rate of leakage of visible sector energy into the CFT. That rate is connected via a unitarity relation to deviations from Newton's force law at short distances. The best bound on L obtained in this paper comes from a match to the parameters of string theory. It is L < 1 nm if the string scale is 1 GeV. Higher string scales imply a tighter bound on L. |
2406.17613 | Sanjaye Ramgoolam | Joseph Ben Geloun, Sanjaye Ramgoolam | Counting of surfaces and computational complexity in column sums of
symmetric group character tables | 52 pages + Appendices, 9 Figures | null | null | QMUL-PH-24-06,DIAS-STP-24-06 | hep-th math.CO math.GR math.RT | http://creativecommons.org/licenses/by/4.0/ | The character table of the symmetric group $S_n$, of permutations of $n$
objects, is of fundamental interest in theoretical physics, combinatorics as
well as computational complexity theory. We investigate the implications of an
identity, which has a geometrical interpretation in combinatorial topological
field theories, relating the column sum of normalised central characters of
$S_n$ to a sum of structure constants of multiplication in the centre of the
group algebra of $S_n$. The identity leads to the proof that a combinatorial
computation of the column sum belongs to complexity class \shP. The sum of
structure constants has an interpretation in terms of the counting of branched
covers of the sphere. This allows the identification of a tractable subset of
the structure constants related to genus zero covers. We use this subset to
prove that the column sum for a conjugacy class labelled by partition $\lambda$
is non-vanishing if and only if the permutations in the conjugacy class are
even. This leads to the result that the determination of the vanishing or
otherwise of the column sum is in complexity class \pP. The subset gives a
positive lower bound on the column sum for any even $ \lambda$. For any
disjoint decomposition of $ \lambda$ as $\lambda_1 \sqcup \lambda_2 $ we obtain
a lower bound for the column sum at $ \lambda$ in terms of the product of the
column sums for $ \lambda_1$ and$\lambda_2$. This can be expressed as a
super-additivity property for the logarithms of column sums of normalized
characters.
| [
{
"created": "Tue, 25 Jun 2024 14:58:58 GMT",
"version": "v1"
}
] | 2024-06-26 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | The character table of the symmetric group $S_n$, of permutations of $n$ objects, is of fundamental interest in theoretical physics, combinatorics as well as computational complexity theory. We investigate the implications of an identity, which has a geometrical interpretation in combinatorial topological field theories, relating the column sum of normalised central characters of $S_n$ to a sum of structure constants of multiplication in the centre of the group algebra of $S_n$. The identity leads to the proof that a combinatorial computation of the column sum belongs to complexity class \shP. The sum of structure constants has an interpretation in terms of the counting of branched covers of the sphere. This allows the identification of a tractable subset of the structure constants related to genus zero covers. We use this subset to prove that the column sum for a conjugacy class labelled by partition $\lambda$ is non-vanishing if and only if the permutations in the conjugacy class are even. This leads to the result that the determination of the vanishing or otherwise of the column sum is in complexity class \pP. The subset gives a positive lower bound on the column sum for any even $ \lambda$. For any disjoint decomposition of $ \lambda$ as $\lambda_1 \sqcup \lambda_2 $ we obtain a lower bound for the column sum at $ \lambda$ in terms of the product of the column sums for $ \lambda_1$ and$\lambda_2$. This can be expressed as a super-additivity property for the logarithms of column sums of normalized characters. |
1306.1239 | Josip Trampetic Dr. | R. Horvat, A. Ilakovac, J. Trampetic and J. You | Self-energies on deformed spacetimes | D-dimensional photon-loop contribution added to the photon
self-energy; version to appear in JHEP, 29 pages, 3 figures, 1 table | null | 10.1007/JHEP11(2013)071 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study one-loop photon (Pi) and neutrino (Sigma) self-energies in a U(1)
covariant gauge-theory on d-dimensional noncommutative spaces determined by a
antisymmetric-constant tensor theta^{mu nu}. For the general fermion-photon
(S_f) and photon self-interaction (S_g) the closed form results reveal
self-energies besetting with all kind of pathological terms: the UV divergence,
the quadratic UV/IR mixing terms as well as a logarithmic IR divergent term of
the type ln(mu^2(theta p)^2). In addition, the photon-loop produces new tensor
structures satisfying transversality condition by themselves. We show that the
photon self-energy in four-dimensional Euclidean spacetime can be reduced to
two finite terms by imposing a specific full rank of theta^{mu nu} and setting
deformation parameters (kappa_f,kappa_g)=(0,3). In this case the neutrino
two-point function vanishes. Thus for a specific point (0,3) in the
parameter-space (kappa_f,kappa_g), a covariant theta-exact approach is able to
produce a divergence-free result for one-loop quantum corrections, having also
well-defined both the commutative limit as well as the pointlike limit of an
extended object. While in two-dimensional space the photon self-energy is
finite for arbitrary (kappa_f,kappa_g) combinations, the neutrino self-energy
still contains an superficial IR divergence.
| [
{
"created": "Wed, 5 Jun 2013 20:05:56 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2013 14:14:13 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Oct 2013 14:44:31 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Horvat",
"R.",
""
],
[
"Ilakovac",
"A.",
""
],
[
"Trampetic",
"J.",
""
],
[
"You",
"J.",
""
]
] | We study one-loop photon (Pi) and neutrino (Sigma) self-energies in a U(1) covariant gauge-theory on d-dimensional noncommutative spaces determined by a antisymmetric-constant tensor theta^{mu nu}. For the general fermion-photon (S_f) and photon self-interaction (S_g) the closed form results reveal self-energies besetting with all kind of pathological terms: the UV divergence, the quadratic UV/IR mixing terms as well as a logarithmic IR divergent term of the type ln(mu^2(theta p)^2). In addition, the photon-loop produces new tensor structures satisfying transversality condition by themselves. We show that the photon self-energy in four-dimensional Euclidean spacetime can be reduced to two finite terms by imposing a specific full rank of theta^{mu nu} and setting deformation parameters (kappa_f,kappa_g)=(0,3). In this case the neutrino two-point function vanishes. Thus for a specific point (0,3) in the parameter-space (kappa_f,kappa_g), a covariant theta-exact approach is able to produce a divergence-free result for one-loop quantum corrections, having also well-defined both the commutative limit as well as the pointlike limit of an extended object. While in two-dimensional space the photon self-energy is finite for arbitrary (kappa_f,kappa_g) combinations, the neutrino self-energy still contains an superficial IR divergence. |
2111.06847 | Alexander Ochirov Dr. | Achilleas Lazopoulos, Alexander Ochirov, Canxin Shi | All-multiplicity amplitudes with four massive quarks and
identical-helicity gluons | 24 pages + appendices + refs, 3 figures, 2 computer-readable
ancillary files; v2 minor improvements, numerical-evaluation analysis
simplified, journal version | JHEP 03 (2022) 009 | 10.1007/JHEP03(2022)009 | SAGEX-21-21-E, HU-EP-21/47 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the on-shell recursion for tree-level scattering amplitudes with
massive spinning particles. Based on the factorization structure encoded in the
same way by two different recursion relations, we conjecture an
all-multiplicity formula for two gauged massive particles of arbitrary spin and
any number of identical-helicity gluons. Specializing to quantum chromodynamics
(QCD), we solve the on-shell recursion relations in the presence of two pairs
of massive quarks and an arbitrary number of identical-helicity gluons. We find
closed-form expressions for the two distinct families of color-ordered
four-quark amplitudes, in which all gluons comprise a single color-adjacent
set. We compare the efficiency of the numerical evaluation of the two resulting
analytic formulae against a numerical implementation of the off-shell
Berends-Giele recursion. We find the formulae for both amplitude families to be
faster for large multiplicities, while the simpler of the two is actually
faster for any number of external legs. Our analytic results are provided in a
computer-readable format as two ancillary files.
| [
{
"created": "Fri, 12 Nov 2021 18:11:45 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Mar 2022 14:25:01 GMT",
"version": "v2"
}
] | 2022-03-03 | [
[
"Lazopoulos",
"Achilleas",
""
],
[
"Ochirov",
"Alexander",
""
],
[
"Shi",
"Canxin",
""
]
] | We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity formula for two gauged massive particles of arbitrary spin and any number of identical-helicity gluons. Specializing to quantum chromodynamics (QCD), we solve the on-shell recursion relations in the presence of two pairs of massive quarks and an arbitrary number of identical-helicity gluons. We find closed-form expressions for the two distinct families of color-ordered four-quark amplitudes, in which all gluons comprise a single color-adjacent set. We compare the efficiency of the numerical evaluation of the two resulting analytic formulae against a numerical implementation of the off-shell Berends-Giele recursion. We find the formulae for both amplitude families to be faster for large multiplicities, while the simpler of the two is actually faster for any number of external legs. Our analytic results are provided in a computer-readable format as two ancillary files. |
1610.05484 | Samrat Bhowmick | Samrat Bhowmick, Soumyabrata Chatterjee | Towards Timelike Singularity via AdS Dual | 16 pages, 4 figures, rewritten introduction, journal version | null | 10.1142/S0217751X17501226 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that Kasner geometry with space-like singularity can be
extended to bulk AdS-like geometry, furthermore one can study field theory on
this Kasner space via its gravity dual. In this paper, we show that there
exists a Kasner-like geometry with timelike singularity for which one can
construct a dual gravity description. We then study various extremal surfaces
including space-like geodesics in the dual gravity description. Finally, we
compute correlators of highly massive operators in the boundary field theory
with a geodesic approximation.
| [
{
"created": "Tue, 18 Oct 2016 08:54:00 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2017 10:09:01 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2017 13:10:49 GMT",
"version": "v3"
}
] | 2017-08-16 | [
[
"Bhowmick",
"Samrat",
""
],
[
"Chatterjee",
"Soumyabrata",
""
]
] | It is well known that Kasner geometry with space-like singularity can be extended to bulk AdS-like geometry, furthermore one can study field theory on this Kasner space via its gravity dual. In this paper, we show that there exists a Kasner-like geometry with timelike singularity for which one can construct a dual gravity description. We then study various extremal surfaces including space-like geodesics in the dual gravity description. Finally, we compute correlators of highly massive operators in the boundary field theory with a geodesic approximation. |
hep-th/9701002 | Stefan Mashkevich | Stefan Mashkevich (ITP, Kiev) | Comment on ``Additional analytically exact solutions for three-anyons''
and ``Fermion Ground State of Three Particles in a Harmonic Potential Well
and Its Anyon Interpolation'' | 2 pages, LATEX 2.09 | null | null | null | hep-th | null | The claim put forward in [hep-th/9512051, hep-th/9612244] that the energies
of the ``missing'' states of three anyons in a harmonic potential depend
linearly on the statistics parameter, is incorrect because the wave functions
proposed do not satisfy the anyonic interchange conditions.
| [
{
"created": "Wed, 1 Jan 1997 01:11:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mashkevich",
"Stefan",
"",
"ITP, Kiev"
]
] | The claim put forward in [hep-th/9512051, hep-th/9612244] that the energies of the ``missing'' states of three anyons in a harmonic potential depend linearly on the statistics parameter, is incorrect because the wave functions proposed do not satisfy the anyonic interchange conditions. |
hep-th/0511245 | David McMullan | V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan, Yu. Palii | On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2) | 36 pages | J.Math.Phys.47:112902,2006 | 10.1063/1.2358391 | null | hep-th math-ph math.MP | null | The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian
geodesic motion on the SU(3) group manifold parameterised by the generalised
Euler angles and endowed with a bi-invariant metric. Our calculations show that
the metric defined by the derived reduced Hamiltonian flow on the orbit space
SU(3)/SU(2)=S^5 is not isometric or even geodesically equivalent to the
standard Riemannian metric on the five-sphere S^5 embedded into R^6.
| [
{
"created": "Thu, 24 Nov 2005 11:22:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gerdt",
"V.",
""
],
[
"Horan",
"R.",
""
],
[
"Khvedelidze",
"A.",
""
],
[
"Lavelle",
"M.",
""
],
[
"McMullan",
"D.",
""
],
[
"Palii",
"Yu.",
""
]
] | The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parameterised by the generalised Euler angles and endowed with a bi-invariant metric. Our calculations show that the metric defined by the derived reduced Hamiltonian flow on the orbit space SU(3)/SU(2)=S^5 is not isometric or even geodesically equivalent to the standard Riemannian metric on the five-sphere S^5 embedded into R^6. |
1101.3169 | Torsten Asselmeyer-Maluga | T. Asselmeyer-Maluga and J. Krol | Exotic smooth R^4 and certain configurations of NS and D branes in
string theory | 15 pages, Based on the talk ,,Small exotic smooth R^4 and string
theory given at the International Congress of Mathematicians, ICM2010,
19-28.08.2010, Hyderabad, India | Int.J.Mod.Phys.A26:1375-1388,2011 | 10.1142/S0217751X11052827 | null | hep-th gr-qc math-ph math.GT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show that in some important cases 4-dimensional data can be
extracted from superstring theory such that a) the data are 4 Euclidean
geometries embedded in standard $\mathbb{R}^{4}$, b) these data depend on NS
and D brane charges of some string backgrounds, c) it is of potential relevance
to 4-dimensional physics, d) the compactification and stabilization techniques
are not in use, but rather are replaced. We analyze certain configurations of
NS and D-branes in the context of $SU(2)$ WZW model and find the correlations
with different exotic smoothings of $\mathbb{R}^{4}$. First, the dynamics of
D-branes in $SU(2)$ WZW model at finite $k$, i.e. the charges of the branes,
refers to the exoticness of ambient $\mathbb{R}^{4}$. Next, the correspondence
between exotic smoothness on 4-space, transversal to the world volume of NS5
branes in IIA type, and the number of these NS5 branes follows. Finally, the
translation of 10 dimensional string backgrounds to 4 Euclidean spaces embedded
as open subsets in the standard $\mathbb{R}^{4}$ is achieved.
| [
{
"created": "Mon, 17 Jan 2011 10:24:32 GMT",
"version": "v1"
}
] | 2011-04-08 | [
[
"Asselmeyer-Maluga",
"T.",
""
],
[
"Krol",
"J.",
""
]
] | In this paper we show that in some important cases 4-dimensional data can be extracted from superstring theory such that a) the data are 4 Euclidean geometries embedded in standard $\mathbb{R}^{4}$, b) these data depend on NS and D brane charges of some string backgrounds, c) it is of potential relevance to 4-dimensional physics, d) the compactification and stabilization techniques are not in use, but rather are replaced. We analyze certain configurations of NS and D-branes in the context of $SU(2)$ WZW model and find the correlations with different exotic smoothings of $\mathbb{R}^{4}$. First, the dynamics of D-branes in $SU(2)$ WZW model at finite $k$, i.e. the charges of the branes, refers to the exoticness of ambient $\mathbb{R}^{4}$. Next, the correspondence between exotic smoothness on 4-space, transversal to the world volume of NS5 branes in IIA type, and the number of these NS5 branes follows. Finally, the translation of 10 dimensional string backgrounds to 4 Euclidean spaces embedded as open subsets in the standard $\mathbb{R}^{4}$ is achieved. |
0711.3417 | Chethan Krishnan | Willy Fischler, Chethan Krishnan, Sonia Paban, Marija Zanic | Vacuum Bubble in an Inhomogeneous Cosmology | 31 pages, 21(!) figures, v2: minor changes, figures re-sized (might
require zoom on some systems), references added | JHEP0805:041,2008 | 10.1088/1126-6708/2008/05/041 | null | hep-th astro-ph hep-ph | null | We study the propagation of bubbles of new vacuum in a radially inhomogeneous
Lemaitre-Tolman-Bondi background that includes a cosmological constant. This
exemplifies the classical evolution of a tunneling bubble through a metastable
state with curvature inhomogeneities, and will be relevant in the context of
the Landscape. We demand that the matter profile in the LTB background satisfy
the weak energy condition. For sample profiles that satisfy this restriction,
we find that the evolution of the bubble (in terms of the physically relevant
coordinates intrinsic to the shell) is largely unaffected by the prsence of
local inhomogeneities. Our setup should also be a useful toy model for
capturing the effects of ambient inhomogeneities on an inflating region.
| [
{
"created": "Wed, 21 Nov 2007 17:55:18 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2008 11:58:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fischler",
"Willy",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Paban",
"Sonia",
""
],
[
"Zanic",
"Marija",
""
]
] | We study the propagation of bubbles of new vacuum in a radially inhomogeneous Lemaitre-Tolman-Bondi background that includes a cosmological constant. This exemplifies the classical evolution of a tunneling bubble through a metastable state with curvature inhomogeneities, and will be relevant in the context of the Landscape. We demand that the matter profile in the LTB background satisfy the weak energy condition. For sample profiles that satisfy this restriction, we find that the evolution of the bubble (in terms of the physically relevant coordinates intrinsic to the shell) is largely unaffected by the prsence of local inhomogeneities. Our setup should also be a useful toy model for capturing the effects of ambient inhomogeneities on an inflating region. |
hep-th/9502048 | Richard Ward | R. S. Ward | Stable Topological Skyrmions on the 2D Lattice | 8 pages, plainTeX, figures not included | Lett.Math.Phys. 35 (1995) 385-393 | 10.1007/BF00750845 | DTP/95/1, NI94032 | hep-th | null | In the continuum O(3) sigma model in two spatial dimensions, there are
topological solitons whose size can be stabilized by adding Skyrme and
potential terms. This paper describes a lattice version, namely a natural way
of modifying the 2d Heisenberg model to achieve topological stability on the
lattice.
| [
{
"created": "Tue, 7 Feb 1995 13:43:49 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Ward",
"R. S.",
""
]
] | In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d Heisenberg model to achieve topological stability on the lattice. |
hep-th/0411035 | Jorge Russo | Jorge G. Russo | Effects of D-instantons in string amplitudes | 11 pages, 3 figures | Phys.Lett. B610 (2005) 152-158 | 10.1016/j.physletb.2005.01.087 | UB-ECM-PF-04-36 | hep-th | null | We investigate the different energy regimes in the conjectured SL(2,Z)
invariant four graviton scattering amplitude that incorporates D-instanton
contributions in 10d type IIB superstring theory. We show that the infinite
product over SL(2,Z) rotations is convergent in the whole complex plane s,t.
For high energies s>> 1, fixed scattering angle, and very weak coupling g<<
1/s, the four-graviton amplitude exhibits the usual exponential suppression. As
the energy approaches 1/g, the suppression gradually diminishes until there
appears a strong amplification near a new pole coming from the exchange of a
(p,q) string. At energies s<< 1/\sqrt{g}, the pure D instanton contribution to
the scattering amplitude is found to produce a factor $A_4^{Dinst}\cong \exp (c
g^{3/2}e^{-{2\pi\over g}} s^3)$. At energies $1/\sqrt{g} << s<< 1/g $, the
D-instanton factor becomes $A_4^{Dinst}\cong \exp (2 e^{-{2\pi\over g_s}+\pi
g_s s^2})$. At higher energies s>> 1/g the D-instanton contribution becomes
very important, and one finds an oscillatory behavior which alternates
suppression and amplification. This suggests that non-perturbative effects can
lead to a high-energy behavior which is significantly different from the
perturbative string behavior.
| [
{
"created": "Tue, 2 Nov 2004 16:17:03 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Nov 2004 19:13:17 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Nov 2004 16:00:40 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Russo",
"Jorge G.",
""
]
] | We investigate the different energy regimes in the conjectured SL(2,Z) invariant four graviton scattering amplitude that incorporates D-instanton contributions in 10d type IIB superstring theory. We show that the infinite product over SL(2,Z) rotations is convergent in the whole complex plane s,t. For high energies s>> 1, fixed scattering angle, and very weak coupling g<< 1/s, the four-graviton amplitude exhibits the usual exponential suppression. As the energy approaches 1/g, the suppression gradually diminishes until there appears a strong amplification near a new pole coming from the exchange of a (p,q) string. At energies s<< 1/\sqrt{g}, the pure D instanton contribution to the scattering amplitude is found to produce a factor $A_4^{Dinst}\cong \exp (c g^{3/2}e^{-{2\pi\over g}} s^3)$. At energies $1/\sqrt{g} << s<< 1/g $, the D-instanton factor becomes $A_4^{Dinst}\cong \exp (2 e^{-{2\pi\over g_s}+\pi g_s s^2})$. At higher energies s>> 1/g the D-instanton contribution becomes very important, and one finds an oscillatory behavior which alternates suppression and amplification. This suggests that non-perturbative effects can lead to a high-energy behavior which is significantly different from the perturbative string behavior. |
1911.01150 | Rafael Hernandez | Rafael Hernandez, Juan Miguel Nieto, Roberto Ruiz | Quantum corrections to minimal surfaces with mixed three-form flux | 32 pages. Latex. v2: Published version, acknowledgement added | Phys. Rev. D 101, 026019 (2020) | 10.1103/PhysRevD.101.026019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the ratio of semiclassical partition functions for the extension
under mixed flux of the minimal surfaces subtending a circumference and a line
in Euclidean $AdS_{3}\times S^{3}\times T^{4}$. We reduce the problem to the
computation of a set of functional determinants. If the Ramond-Ramond flux does
not vanish, we find that the contribution of the $B$-field is comprised in the
conformal anomaly. In this case, we successively apply the Gel'fand-Yaglom
method and the Abel-Plana formula to the flat-measure determinants. To cancel
the resultant infrared divergences, we shift the regularization of the sum over
half-integers depending on whether it corresponds to massive or massless
fermionic modes. We show that the result is compatible with the zeta-function
regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux
we argue that the computation trivializes. We extend the reasoning to other
surfaces with the same behavior in this regime.
| [
{
"created": "Mon, 4 Nov 2019 12:14:43 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2020 10:17:20 GMT",
"version": "v2"
}
] | 2020-03-11 | [
[
"Hernandez",
"Rafael",
""
],
[
"Nieto",
"Juan Miguel",
""
],
[
"Ruiz",
"Roberto",
""
]
] | We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean $AdS_{3}\times S^{3}\times T^{4}$. We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not vanish, we find that the contribution of the $B$-field is comprised in the conformal anomaly. In this case, we successively apply the Gel'fand-Yaglom method and the Abel-Plana formula to the flat-measure determinants. To cancel the resultant infrared divergences, we shift the regularization of the sum over half-integers depending on whether it corresponds to massive or massless fermionic modes. We show that the result is compatible with the zeta-function regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux we argue that the computation trivializes. We extend the reasoning to other surfaces with the same behavior in this regime. |
hep-th/9901070 | Michael luke Walker | M. L. Walker and C. J. Burden (Theoretical Physics, RSPhysSE,
Australian National Univeristy) | Chiral Symmetry in Supersymmetric Three Dimensional Quantum
Electrodynamics | 14 pages, latex, 5 figures, typo corrected and slight re-wording on
pages 7,8 | Phys. Rev. D 59, 125013 (1999) | 10.1103/PhysRevD.59.125013 | null | hep-th hep-ph | null | We describe the investigation of spontaneous mass-generation and chiral
symmetry breaking in supersymmetric QED3 using numerical solutions of the
Dyson-Schwinger equation together with the CJT effective action and
supersymmetric Ward identities. We find that, within the quenched bare
approximation, the chirally symmetric solution is favoured.
| [
{
"created": "Sun, 17 Jan 1999 23:52:41 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 1999 00:53:55 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Walker",
"M. L.",
"",
"Theoretical Physics, RSPhysSE,\n Australian National Univeristy"
],
[
"Burden",
"C. J.",
"",
"Theoretical Physics, RSPhysSE,\n Australian National Univeristy"
]
] | We describe the investigation of spontaneous mass-generation and chiral symmetry breaking in supersymmetric QED3 using numerical solutions of the Dyson-Schwinger equation together with the CJT effective action and supersymmetric Ward identities. We find that, within the quenched bare approximation, the chirally symmetric solution is favoured. |
1603.09371 | Yuichi Hoshino | Yuichi Hoshino | Vortex driven phase transition in Topologically Massive QED | 30 pages, RevTex4,6 figures | null | 10.1007/s00601-017-1279-1 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is chiral like symmetry for 4-component massless fermion in
(2+1)-dimensional gauge theory.Since QED$_{3}$ with Chern-Simons term contains
vortex solution for vector potential,one may expect vortex driven phase
transition as Kosterlitz-Thouless type where chiral condensate is washed away
at zero temperature.To study this possibility,we evaluate the fermion
propagator by Dyson-Schwinger equation numerically and spectral function
analytically in the Landau gauge.For quenched case we adopt Ball-Chiu vertex to
keep gauge invariance of the results.The critical value of topological
mass,above which chiral condensate washed away, turned out to be
$O(10^{-2})e^{2}$ at least for weak coupling in both cases.
| [
{
"created": "Wed, 30 Mar 2016 20:38:01 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Hoshino",
"Yuichi",
""
]
] | There is chiral like symmetry for 4-component massless fermion in (2+1)-dimensional gauge theory.Since QED$_{3}$ with Chern-Simons term contains vortex solution for vector potential,one may expect vortex driven phase transition as Kosterlitz-Thouless type where chiral condensate is washed away at zero temperature.To study this possibility,we evaluate the fermion propagator by Dyson-Schwinger equation numerically and spectral function analytically in the Landau gauge.For quenched case we adopt Ball-Chiu vertex to keep gauge invariance of the results.The critical value of topological mass,above which chiral condensate washed away, turned out to be $O(10^{-2})e^{2}$ at least for weak coupling in both cases. |
hep-th/0608052 | Soroka Vyacheslav | Dmitrij V. Soroka and Vyacheslav A. Soroka | Odd Nambu bracket on Grassmann algebra | Latex, 5 pages, JHEP3.cls format. Correction of misprints | null | null | null | hep-th math-ph math.MP | null | The Grassmann-odd Nambu bracket on the Grassmann algebra is proposed.
| [
{
"created": "Tue, 8 Aug 2006 08:40:32 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Oct 2006 12:19:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Soroka",
"Dmitrij V.",
""
],
[
"Soroka",
"Vyacheslav A.",
""
]
] | The Grassmann-odd Nambu bracket on the Grassmann algebra is proposed. |
0812.1564 | Yu Nakayama | Yu Nakayama, Makoto Sakaguchi and Kentaroh Yoshida | Interacting SUSY-singlet matter in non-relativistic Chern-Simons theory | 11pages | J.Phys.A42:195402,2009 | 10.1088/1751-8113/42/19/195402 | UCB-PTH-08/77, OIQP-08-14, NSF-KITP-08-141 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an example of supersymmetric Chern-Simons-matter theory with a
matter field transforming as a singlet representation of the supersymmetry
algebra, where the bosonic and fermionic degrees of freedom do not match. This
is obtained as a non-relativistic limit of the N=2 Chern-Simons-matter theory
in 1+2 dimensions, where the particle and anti-particle coexist. We also study
the index to investigate the mimatch of bosonic and fermionic degrees of
freedom.
| [
{
"created": "Mon, 8 Dec 2008 21:00:45 GMT",
"version": "v1"
}
] | 2009-04-24 | [
[
"Nakayama",
"Yu",
""
],
[
"Sakaguchi",
"Makoto",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is obtained as a non-relativistic limit of the N=2 Chern-Simons-matter theory in 1+2 dimensions, where the particle and anti-particle coexist. We also study the index to investigate the mimatch of bosonic and fermionic degrees of freedom. |
0908.0387 | Dmitri Kazakov | L. V. Bork, D. I. Kazakov, G. S. Vartanov, and A. V. Zhiboedov | Infrared Safe Observables in ${\cal N}=4$ Super Yang-Mills Theory | 13 pages, LaTex; Minor changes, typos corrected, references added | Phys.Lett.B681:296-303,2009 | 10.1016/j.physletb.2009.10.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The infrared structure of MHV gluon amplitudes in ${\cal N}=4$ super
Yang-Mills theory is considered in the next-to-leading order of PT. Explicit
cancelation of the infrared divergencies in properly defined cross-sections is
demonstrated. The remaining finite parts for some inclusive differential
cross-sections are calculated analytically. In general, contrary to the virtual
corrections, they do not reveal any simple structure.
| [
{
"created": "Tue, 4 Aug 2009 06:06:22 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2009 10:35:52 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Oct 2009 06:33:49 GMT",
"version": "v3"
}
] | 2009-11-05 | [
[
"Bork",
"L. V.",
""
],
[
"Kazakov",
"D. I.",
""
],
[
"Vartanov",
"G. S.",
""
],
[
"Zhiboedov",
"A. V.",
""
]
] | The infrared structure of MHV gluon amplitudes in ${\cal N}=4$ super Yang-Mills theory is considered in the next-to-leading order of PT. Explicit cancelation of the infrared divergencies in properly defined cross-sections is demonstrated. The remaining finite parts for some inclusive differential cross-sections are calculated analytically. In general, contrary to the virtual corrections, they do not reveal any simple structure. |
2307.02542 | Jacob Bourjaily | Jacob L. Bourjaily, Nikhil Kalyanapuram, Kokkimidis Patatoukos,
Michael Plesser, and Yaqi Zhang | Gauge-Invariant Double-Copies via Recursion | 5+3 pages; 3 tables | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that all tree-level amplitudes in pure (super-)gravity can be
expressed as term-wise, gauge-invariant double-copies of those of pure
(super-)Yang-Mills obtained via BCFW recursion. These representations are far
from unique: varying the recursive scheme leads to a wide variety of distinct,
but equally valid representations of gravitational amplitudes, all realized as
double-copies.
| [
{
"created": "Wed, 5 Jul 2023 18:00:03 GMT",
"version": "v1"
}
] | 2023-07-07 | [
[
"Bourjaily",
"Jacob L.",
""
],
[
"Kalyanapuram",
"Nikhil",
""
],
[
"Patatoukos",
"Kokkimidis",
""
],
[
"Plesser",
"Michael",
""
],
[
"Zhang",
"Yaqi",
""
]
] | We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying the recursive scheme leads to a wide variety of distinct, but equally valid representations of gravitational amplitudes, all realized as double-copies. |
2103.10437 | Evan McDonough | Edward W. Kolb, Andrew J. Long, and Evan McDonough | The Gravitino Swampland Conjecture | 6 pages, 2 figures. v2: version accepted to PRL | Phys. Rev. Lett. 127, 131603 (2021) | 10.1103/PhysRevLett.127.131603 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the swampland from effective field theories (EFTs) inconsistent
with quantum gravity to EFTs inconsistent with quantum supergravity. This
enlarges the swampland to include EFTs that become inconsistent when the
gravitino is quantized. We propose the Gravitino Swampland Conjecture: the
gravitino sound speed must be non-vanishing in all EFTs that are low energy
limits of quantum supergravity. This seemingly simple statement has important
consequences for both theories and observations. The conjecture is consistent
with and supported by the KKLT and LVS scenarios for moduli stabilization in
string theory.
| [
{
"created": "Thu, 18 Mar 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 2021 13:39:09 GMT",
"version": "v2"
}
] | 2021-09-29 | [
[
"Kolb",
"Edward W.",
""
],
[
"Long",
"Andrew J.",
""
],
[
"McDonough",
"Evan",
""
]
] | We extend the swampland from effective field theories (EFTs) inconsistent with quantum gravity to EFTs inconsistent with quantum supergravity. This enlarges the swampland to include EFTs that become inconsistent when the gravitino is quantized. We propose the Gravitino Swampland Conjecture: the gravitino sound speed must be non-vanishing in all EFTs that are low energy limits of quantum supergravity. This seemingly simple statement has important consequences for both theories and observations. The conjecture is consistent with and supported by the KKLT and LVS scenarios for moduli stabilization in string theory. |
2307.11819 | Nicol\'as Abate | Nicol\'as Abate, Mateo Koifman | Modular conjugation for the chiral fermion in multicomponent regions on
the torus | 19 pages, 4 figures | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study of the Tomita-Takesaki modular conjugation for a
massless Dirac field in a generic multicomponent region in $1+1$ spacetime
dimensions. In this paper we focus on the computations for a thermal state on a
circle, namely on the euclidean torus. By analytic continuation from the
modular flow we arrive at an explicit expression for the modular conjugation in
this scenario and derive its relevant limits. In contrast to the case of the
vacuum on the line, this new result has a non-local behaviour even for
connected regions. It also presents a novel contribution coming from the
purification one has to introduce in order to deal with a mixed state: a term
that maps the algebra of operators of the region to a copy of the global one,
the so called 'second world' algebra.
| [
{
"created": "Fri, 21 Jul 2023 18:00:07 GMT",
"version": "v1"
}
] | 2023-07-25 | [
[
"Abate",
"Nicolás",
""
],
[
"Koifman",
"Mateo",
""
]
] | We continue the study of the Tomita-Takesaki modular conjugation for a massless Dirac field in a generic multicomponent region in $1+1$ spacetime dimensions. In this paper we focus on the computations for a thermal state on a circle, namely on the euclidean torus. By analytic continuation from the modular flow we arrive at an explicit expression for the modular conjugation in this scenario and derive its relevant limits. In contrast to the case of the vacuum on the line, this new result has a non-local behaviour even for connected regions. It also presents a novel contribution coming from the purification one has to introduce in order to deal with a mixed state: a term that maps the algebra of operators of the region to a copy of the global one, the so called 'second world' algebra. |
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