id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9609089 | null | Shogo Tanimura (Kyoto University) and Izumi Tsutsui (Institute for
Nuclear Study, University of Tokyo) | Inequivalent Quantizations and Holonomy Factor from the Path-Integral
Approach | 21 pages, uses Plain TeX | Annals Phys. 258 (1997) 137-156 | 10.1006/aphy.1997.5696 | KU-AMP-96009, INS-Rep.-1157 | hep-th quant-ph | null | A path-integral quantization on a homogeneous space G/H is proposed based on
the guiding principle `first lift to G and then project to G/H'. It is then
shown that this principle gives a simple procedure to obtain the inequivalent
quantizations (superselection sectors) along with the holonomy factor (induced
gauge field) found earlier by algebraic approaches. We also prove that the
resulting matrix-valued path-integral is physically equivalent to the
scalar-valued path-integral derived in the Dirac approach, and thereby present
a unified viewpoint to discuss the basic features of quantizing on $G/H$
obtained in various approaches so far.
| [
{
"created": "Wed, 11 Sep 1996 11:01:14 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Tanimura",
"Shogo",
"",
"Kyoto University"
],
[
"Tsutsui",
"Izumi",
"",
"Institute for\n Nuclear Study, University of Tokyo"
]
] | A path-integral quantization on a homogeneous space G/H is proposed based on the guiding principle `first lift to G and then project to G/H'. It is then shown that this principle gives a simple procedure to obtain the inequivalent quantizations (superselection sectors) along with the holonomy factor (induced gauge field) found earlier by algebraic approaches. We also prove that the resulting matrix-valued path-integral is physically equivalent to the scalar-valued path-integral derived in the Dirac approach, and thereby present a unified viewpoint to discuss the basic features of quantizing on $G/H$ obtained in various approaches so far. |
1205.4720 | Max Kerstan | Max Kerstan and Timo Weigand | Fluxed M5-instantons in F-theory | 47 pages. v3: refs. added, matches version published in Nuclear
Physics B | null | 10.1016/j.nuclphysb.2012.07.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the non-perturbative superpotential due to M5-brane instantons in
F-theory compactifications on Calabi-Yau fourfolds. The M5 partition function
is obtained via holomorphic factorisation by explicitly performing the sum over
chiral 3-form fluxes. Comparison with the partition function of fluxed
Euclidean D3-brane instantons in Type IIB orientifolds allows us to fix the
spin structure on the intermediate Jacobian of the M5-instanton. We furthermore
analyse the contribution of the M5-instanton to the superpotential in the
presence of G4 gauge flux, where the superpotential is dressed with matter
fields. We explicitly evaluate the pullback of G4 onto the M5-brane as a
measure for the presence of charged instanton zero modes. This accounts for the
M5 charge both under massless U(1)s, if present, and under what corresponds in
Type II language to geometrically massive U(1)s.
| [
{
"created": "Mon, 21 May 2012 20:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2012 23:41:08 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Aug 2012 13:13:58 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Kerstan",
"Max",
""
],
[
"Weigand",
"Timo",
""
]
] | We analyse the non-perturbative superpotential due to M5-brane instantons in F-theory compactifications on Calabi-Yau fourfolds. The M5 partition function is obtained via holomorphic factorisation by explicitly performing the sum over chiral 3-form fluxes. Comparison with the partition function of fluxed Euclidean D3-brane instantons in Type IIB orientifolds allows us to fix the spin structure on the intermediate Jacobian of the M5-instanton. We furthermore analyse the contribution of the M5-instanton to the superpotential in the presence of G4 gauge flux, where the superpotential is dressed with matter fields. We explicitly evaluate the pullback of G4 onto the M5-brane as a measure for the presence of charged instanton zero modes. This accounts for the M5 charge both under massless U(1)s, if present, and under what corresponds in Type II language to geometrically massive U(1)s. |
hep-th/9703073 | null | Alexios P. Polychronakos | Unitary matrix model for toroidal compactifications of M theory | 8 pages, phyzzx. Version to appear in Phys. Lett. B; contains an
additional discussion on the motivation for the model and extra references | Phys.Lett.B403:239-242,1997 | 10.1016/S0370-2693(97)00497-8 | UUITP-06/97, 10A 97-05 | hep-th | null | A unitary matrix model is proposed as the large-N matrix formulation of M
theory on flat space with toroidal topology. The model reproduces the motion of
elementary D-particles on the compact space, and admits membrane states with
nonzero wrapping around nontrivial 2-tori even at finite N.
| [
{
"created": "Mon, 10 Mar 1997 16:18:09 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 1997 08:27:25 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Polychronakos",
"Alexios P.",
""
]
] | A unitary matrix model is proposed as the large-N matrix formulation of M theory on flat space with toroidal topology. The model reproduces the motion of elementary D-particles on the compact space, and admits membrane states with nonzero wrapping around nontrivial 2-tori even at finite N. |
2403.05323 | Hongliang Jiang | Hongliang Jiang | Modularity in Argyres-Douglas Theories with $a=c$ | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider a family of Argyres-Douglas theories, which are 4D $\mathcal N=2$
strongly coupled superconformal field theories (SCFTs) but share many features
with 4D $\mathcal N=4 $ super-Yang-Mills theories. In particular, the two
central charges of these theories are the same, namely $a=c$. We derive a
simple and illuminating formula for the Schur index of these theories, which
factorizes into the product of a Casimir term and a term referred to as the
Schur partition function. While the former is controlled by the anomaly, the
latter is identified with the vacuum character of the corresponding chiral
algebra and is expected to satisfy the modular linear differential equation.
Our simple expression for the Schur partition function, which can be regarded
as the generalization of MacMahon's generalized sum-of-divisor function, allows
one to numerically compute the series expansions efficiently, and furthermore
find the corresponding modular linear differential equation. In a special case
where the chiral algebra is known, we are able to derive the corresponding
modular linear differential equation using Zhu's recursion relation. We further
study the solutions to the modular linear differential equations and discuss
their modular transformations. As an application, we study the high temperature
limit or the Cardy-like limit of the Schur index using its simple expression
and modular properties, thus shedding light on the 1/4-BPS microstates of
genuine $\mathcal N=2$ SCFTs with $a=c$ and their dual quantum gravity via the
AdS/CFT correspondence.
| [
{
"created": "Fri, 8 Mar 2024 14:01:00 GMT",
"version": "v1"
}
] | 2024-03-11 | [
[
"Jiang",
"Hongliang",
""
]
] | We consider a family of Argyres-Douglas theories, which are 4D $\mathcal N=2$ strongly coupled superconformal field theories (SCFTs) but share many features with 4D $\mathcal N=4 $ super-Yang-Mills theories. In particular, the two central charges of these theories are the same, namely $a=c$. We derive a simple and illuminating formula for the Schur index of these theories, which factorizes into the product of a Casimir term and a term referred to as the Schur partition function. While the former is controlled by the anomaly, the latter is identified with the vacuum character of the corresponding chiral algebra and is expected to satisfy the modular linear differential equation. Our simple expression for the Schur partition function, which can be regarded as the generalization of MacMahon's generalized sum-of-divisor function, allows one to numerically compute the series expansions efficiently, and furthermore find the corresponding modular linear differential equation. In a special case where the chiral algebra is known, we are able to derive the corresponding modular linear differential equation using Zhu's recursion relation. We further study the solutions to the modular linear differential equations and discuss their modular transformations. As an application, we study the high temperature limit or the Cardy-like limit of the Schur index using its simple expression and modular properties, thus shedding light on the 1/4-BPS microstates of genuine $\mathcal N=2$ SCFTs with $a=c$ and their dual quantum gravity via the AdS/CFT correspondence. |
1007.0885 | Gaetano Fiore | Gaetano Fiore | Noncommutative spaces with twisted symmetries and second quantization | Latex file 16 pages. Talk given at the conference "Noncommutative
Structures in Mathematics and Physics" (Satellite Conference to the 5th
European Congress of Mathematics), Brussels 22-26/7/2008. Appeared in the
Proceedings, Ed. S. Caenepeel, J. Fuchs, S. Gutt, C. Schweigert, A. Stolin,
F. Van Oystaeyen, Royal Flemish Academy of Belgium for Sciences and Arts,
brussels, 2010, pp. 163-177 | "Noncommutative Structures in Mathematics and Physics'', Brussels
2008. (2010), pp. 163-177. ISBN 9789065690616 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a minimalistic view, the use of noncommutative coordinates can be seen
just as a way to better express non-local interactions of a special kind:
1-particle solutions (wavefunctions) of the equation of motion in the presence
of an external field may look simpler as functions of noncommutative
coordinates. It turns out that also the wave-mechanical description of a system
of n such bosons/fermions and its second quantization is simplified if we
translate them in terms of their deformed counterparts. The latter are obtained
by a general twist-induced *-deformation procedure which deforms in a
coordinated way not just the spacetime algebra, but the larger algebra
generated by any number n of copies of the spacetime coordinates and by the
particle creation and annihilation operators. On the deformed algebra the
action of the original spacetime transformations looks twisted. In a
non-conservative view, we thus obtain a twisted covariant framework for QFT on
the corresponding noncommutative spacetime consistent with quantum mechanical
axioms and Bose-Fermi statistics. One distinguishing feature is that the field
commutation relations remain of the type "field (anti)commutator=a
distribution". We illustrate the results by choosing as examples interacting
non-relativistic and free relativistic QFT on Moyal space(time)s.
| [
{
"created": "Tue, 6 Jul 2010 13:21:07 GMT",
"version": "v1"
}
] | 2012-09-28 | [
[
"Fiore",
"Gaetano",
""
]
] | In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an external field may look simpler as functions of noncommutative coordinates. It turns out that also the wave-mechanical description of a system of n such bosons/fermions and its second quantization is simplified if we translate them in terms of their deformed counterparts. The latter are obtained by a general twist-induced *-deformation procedure which deforms in a coordinated way not just the spacetime algebra, but the larger algebra generated by any number n of copies of the spacetime coordinates and by the particle creation and annihilation operators. On the deformed algebra the action of the original spacetime transformations looks twisted. In a non-conservative view, we thus obtain a twisted covariant framework for QFT on the corresponding noncommutative spacetime consistent with quantum mechanical axioms and Bose-Fermi statistics. One distinguishing feature is that the field commutation relations remain of the type "field (anti)commutator=a distribution". We illustrate the results by choosing as examples interacting non-relativistic and free relativistic QFT on Moyal space(time)s. |
hep-th/9901086 | Iver H. Brevik | Iver Brevik and Valery Marachevsky | Casimir Surface Force on a Dilute Dielectric Ball | 24 pages, latex, no figures, some additions to the Acknowledments
section | Phys.Rev.D60:085006,1999 | 10.1103/PhysRevD.60.085006 | null | hep-th | null | The Casimir surface force density F on a dielectric dilute spherical ball of
radius a, surrounded by a vacuum, is calculated at zero temperature. We treat
(n-1) (n being the refractive index) as a small parameter. The dispersive
properties of the material are taken into account by adopting a simple
dispersion relation, involving a sharp high frequency cutoff at omega =
omega_0. For a nondispersive medium there appears (after regularization) a
finite, physical, force F^{nondisp} which is repulsive. By means of a uniform
asymptotic expansion of the Riccati-Bessel functions we calculate F^{nondisp}
up to the fourth order in 1/nu. For a dispersive medium the main part of the
force F^{disp} is also repulsive. The dominant term in F^{disp} is proportional
to (n-1)^2{omega_0}^3/a, and will under usual physical conditions outweigh
F^{nondisp} by several orders of magnitude.
| [
{
"created": "Wed, 20 Jan 1999 11:21:04 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 1999 09:57:31 GMT",
"version": "v2"
}
] | 2009-01-14 | [
[
"Brevik",
"Iver",
""
],
[
"Marachevsky",
"Valery",
""
]
] | The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n-1) (n being the refractive index) as a small parameter. The dispersive properties of the material are taken into account by adopting a simple dispersion relation, involving a sharp high frequency cutoff at omega = omega_0. For a nondispersive medium there appears (after regularization) a finite, physical, force F^{nondisp} which is repulsive. By means of a uniform asymptotic expansion of the Riccati-Bessel functions we calculate F^{nondisp} up to the fourth order in 1/nu. For a dispersive medium the main part of the force F^{disp} is also repulsive. The dominant term in F^{disp} is proportional to (n-1)^2{omega_0}^3/a, and will under usual physical conditions outweigh F^{nondisp} by several orders of magnitude. |
2212.08009 | Scott Melville | Santiago Agui Salcedo, Mang Hei Gordon Lee, Scott Melville, Enrico
Pajer | The Analytic Wavefunction | 47+31 pages, 9 figures, 3 tables | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The wavefunction in quantum field theory is an invaluable tool for tackling a
variety of problems, including probing the interior of Minkowski spacetime and
modelling boundary observables in de Sitter spacetime. Here we study the
analytic structure of wavefunction coefficients in Minkowski as a function of
their kinematics. We introduce an off-shell wavefunction in terms of amputated
time-ordered correlation functions and show that it is analytic in the complex
energy plane except for possible singularities on the negative real axis. These
singularities are determined to all loop orders by a simple energy-conservation
condition. We confirm this picture by developing a Landau analysis of
wavefunction loop integrals and corroborate our findings with several explicit
calculations in scalar field theories. This analytic structure allows us to
derive new UV/IR sum rules for the wavefunction that fix the coefficients in
its low-energy expansion in terms of integrals of discontinuities in the
corresponding UV-completion. In contrast to the analogous sum rules for
scattering amplitudes, the wavefunction sum rules can also constrain
total-derivative interactions. We explicitly verify these new relations at
one-loop order in simple UV models of a light and a heavy scalar. Our results,
which apply to both Lorentz invariant and boost-breaking theories, pave the way
towards deriving wavefunction positivity bounds in flat and cosmological
spacetimes.
| [
{
"created": "Thu, 15 Dec 2022 18:15:19 GMT",
"version": "v1"
}
] | 2022-12-19 | [
[
"Salcedo",
"Santiago Agui",
""
],
[
"Lee",
"Mang Hei Gordon",
""
],
[
"Melville",
"Scott",
""
],
[
"Pajer",
"Enrico",
""
]
] | The wavefunction in quantum field theory is an invaluable tool for tackling a variety of problems, including probing the interior of Minkowski spacetime and modelling boundary observables in de Sitter spacetime. Here we study the analytic structure of wavefunction coefficients in Minkowski as a function of their kinematics. We introduce an off-shell wavefunction in terms of amputated time-ordered correlation functions and show that it is analytic in the complex energy plane except for possible singularities on the negative real axis. These singularities are determined to all loop orders by a simple energy-conservation condition. We confirm this picture by developing a Landau analysis of wavefunction loop integrals and corroborate our findings with several explicit calculations in scalar field theories. This analytic structure allows us to derive new UV/IR sum rules for the wavefunction that fix the coefficients in its low-energy expansion in terms of integrals of discontinuities in the corresponding UV-completion. In contrast to the analogous sum rules for scattering amplitudes, the wavefunction sum rules can also constrain total-derivative interactions. We explicitly verify these new relations at one-loop order in simple UV models of a light and a heavy scalar. Our results, which apply to both Lorentz invariant and boost-breaking theories, pave the way towards deriving wavefunction positivity bounds in flat and cosmological spacetimes. |
0711.4532 | Yuji Tachikawa | Ofer Aharony and Yuji Tachikawa | A holographic computation of the central charges of d=4, N=2 SCFTs | 16 pages; v4: one reference added | JHEP 0801:037,2008 | 10.1088/1126-6708/2008/01/037 | WIS/20/07-NOV-DPP | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the AdS/CFT correspondence to compute the central charges of the d=4,
N=2 superconformal field theories arising from N D3-branes at singularities in
F-theory. These include the conformal theories with E_n global symmetries. We
compute the central charges a and c related to the conformal anomaly, and also
the central charges k associated to the global symmetry in these theories. All
of these are related to the coefficients of Chern-Simons terms in the dual
string theory on AdS_5. Our computation is exact for all values of N, enabling
several tests of the dualities recently proposed by Argyres and Seiberg for the
E_6 and E_7 theories with N=1.
| [
{
"created": "Wed, 28 Nov 2007 16:35:58 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2007 19:36:08 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Mar 2008 18:03:36 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Aug 2008 14:38:44 GMT",
"version": "v4"
}
] | 2009-09-29 | [
[
"Aharony",
"Ofer",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We use the AdS/CFT correspondence to compute the central charges of the d=4, N=2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E_n global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of Chern-Simons terms in the dual string theory on AdS_5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E_6 and E_7 theories with N=1. |
hep-th/0103203 | Dieter Luest H. | Boris Kors, Dieter Lust, Andre Miemiec | Non-commutative D- and M-brane Bound States | 21 pages, latex, 1 figure, revised version contains additional refs | Fortsch.Phys.49:869-884,2001 | 10.1002/1521-3978(200108)49:8/9<869::AID-PROP869>3.0.CO;2-# | HU-EP-01/11 | hep-th | null | We analyze certain brane bound states in M-theory and their descendants in
type IIA string theory, all involving 3-form or 2-form background fluxes. Among
them are configurations which represent NCYM, NCOS and ODp-theories in the
scaling limit of OM-theory. In particular, we show how the conditions for the
embedding to preserve supersymmetry are modified by the presence of the flux
and discuss their relations for the various different bound states. Via the
formalism of geometric quantization such a deformation of a supersymmetric
cycle is related to a non-commutativity of its coordinates. We also study
possible non-commutative deformations of the Seiberg-Witten curve of N=2
supersymmetric gauge theories due to non-trivial H-flux.
| [
{
"created": "Fri, 23 Mar 2001 16:31:07 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2001 15:48:06 GMT",
"version": "v2"
}
] | 2016-10-26 | [
[
"Kors",
"Boris",
""
],
[
"Lust",
"Dieter",
""
],
[
"Miemiec",
"Andre",
""
]
] | We analyze certain brane bound states in M-theory and their descendants in type IIA string theory, all involving 3-form or 2-form background fluxes. Among them are configurations which represent NCYM, NCOS and ODp-theories in the scaling limit of OM-theory. In particular, we show how the conditions for the embedding to preserve supersymmetry are modified by the presence of the flux and discuss their relations for the various different bound states. Via the formalism of geometric quantization such a deformation of a supersymmetric cycle is related to a non-commutativity of its coordinates. We also study possible non-commutative deformations of the Seiberg-Witten curve of N=2 supersymmetric gauge theories due to non-trivial H-flux. |
hep-th/9505066 | Vincent Pasquier | Bernard Derrida, Vincent Hakim, Vincent Pasquier | Exact first-passage exponents of 1D domain growth: relation to a
reaction diffusion model | latex,no figures | null | 10.1103/PhysRevLett.75.751 | null | hep-th | null | In the zero temperature Glauber dynamics of the ferromagnetic Ising or
$q$-state Potts model, the size of domains is known to grow like $t^{1/2}$.
Recent simulations have shown that the fraction $r(q,t)$ of spins which have
never flipped up to time $t$ decays like a power law $r(q,t) \sim
t^{-\theta(q)}$ with a non-trivial dependence of the exponent $\theta(q)$ on
$q$ and on space dimension. By mapping the problem on an exactly soluble
one-species coagulation model ($A+A\rightarrow A$), we obtain the exact
expression of $\theta(q)$ in dimension one.
| [
{
"created": "Thu, 11 May 1995 15:44:42 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Derrida",
"Bernard",
""
],
[
"Hakim",
"Vincent",
""
],
[
"Pasquier",
"Vincent",
""
]
] | In the zero temperature Glauber dynamics of the ferromagnetic Ising or $q$-state Potts model, the size of domains is known to grow like $t^{1/2}$. Recent simulations have shown that the fraction $r(q,t)$ of spins which have never flipped up to time $t$ decays like a power law $r(q,t) \sim t^{-\theta(q)}$ with a non-trivial dependence of the exponent $\theta(q)$ on $q$ and on space dimension. By mapping the problem on an exactly soluble one-species coagulation model ($A+A\rightarrow A$), we obtain the exact expression of $\theta(q)$ in dimension one. |
1307.2574 | Chunshan Lin | Chunshan Lin | Massive Graviton on a Spatial Condensate | 5 pages, 1 figure; at V2, we slightly change the title, re-organize
the introduction sector, add the remarks on the self-consistency, and correct
some typos; V3, more details are included, V4, more references and
discussions added | null | 10.1016/j.physletb.2014.09.065 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the spatial gauge symmetries spontaneously break
down in GR, and graviton becomes massive on this spatial condensate background.
Such model can be considered as a simplest example of massive gravity. We then
apply our massive gravity theory to inflation, the graviton mass removes the IR
divergence of the inflationary loop diagram.
| [
{
"created": "Tue, 9 Jul 2013 20:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2013 14:18:23 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Aug 2013 12:02:27 GMT",
"version": "v3"
},
{
"created": "Tue, 5 Aug 2014 05:17:28 GMT",
"version": "v4"
}
] | 2015-12-30 | [
[
"Lin",
"Chunshan",
""
]
] | In this paper, we consider the spatial gauge symmetries spontaneously break down in GR, and graviton becomes massive on this spatial condensate background. Such model can be considered as a simplest example of massive gravity. We then apply our massive gravity theory to inflation, the graviton mass removes the IR divergence of the inflationary loop diagram. |
1611.10281 | Yasaman Yazdi | Rafael D. Sorkin and Yasaman K. Yazdi | Entanglement Entropy in Causal Set Theory | v3: 24 pages, 16 figures. More discussion added throughout | Class. Quantum Grav. 35 074004 (2018) | 10.1088/1361-6382/aab06f | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entanglement entropy is now widely accepted as having deep connections with
quantum gravity. It is therefore desirable to understand it in the context of
causal sets, especially since they provide in a natural manner the UV cutoff
needed to render entanglement entropy finite. Formulating a notion of
entanglement entropy in a causal set is not straightforward because the type of
canonical hypersurface-data on which its definition typically relies is not
available. Instead, we appeal to the more global expression given in
arXiv:1205.2953 which, for a gaussian scalar field, expresses the entropy of a
spacetime region in terms of the field's correlation function within that
region (its "Wightman function" $W(x,x')$). Carrying this formula over to the
causal set, one obtains an entropy which is both finite and of a Lorentz
invariant nature. We evaluate this global entropy-expression numerically for
certain regions (primarily order-intervals or "causal diamonds") within causal
sets of 1+1 dimensions. For the causal-set counterpart of the entanglement
entropy, we obtain, in the first instance, a result that follows a (spacetime)
volume law instead of the expected (spatial) area law. We find, however, that
one obtains an area law if one truncates the commutator function ("Pauli-Jordan
operator") and the Wightman function by projecting out the eigenmodes of the
Pauli-Jordan operator whose eigenvalues are too close to zero according to a
geometrical criterion which we describe more fully below. In connection with
these results and the questions they raise, we also study the "entropy of
coarse-graining" generated by thinning out the causal set, and we compare it
with what one obtains by similarly thinning out a chain of harmonic
oscillators, finding the same, "universal" behaviour in both cases.
| [
{
"created": "Wed, 30 Nov 2016 17:37:02 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 2017 06:56:43 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Feb 2018 19:19:27 GMT",
"version": "v3"
}
] | 2018-03-13 | [
[
"Sorkin",
"Rafael D.",
""
],
[
"Yazdi",
"Yasaman K.",
""
]
] | Entanglement entropy is now widely accepted as having deep connections with quantum gravity. It is therefore desirable to understand it in the context of causal sets, especially since they provide in a natural manner the UV cutoff needed to render entanglement entropy finite. Formulating a notion of entanglement entropy in a causal set is not straightforward because the type of canonical hypersurface-data on which its definition typically relies is not available. Instead, we appeal to the more global expression given in arXiv:1205.2953 which, for a gaussian scalar field, expresses the entropy of a spacetime region in terms of the field's correlation function within that region (its "Wightman function" $W(x,x')$). Carrying this formula over to the causal set, one obtains an entropy which is both finite and of a Lorentz invariant nature. We evaluate this global entropy-expression numerically for certain regions (primarily order-intervals or "causal diamonds") within causal sets of 1+1 dimensions. For the causal-set counterpart of the entanglement entropy, we obtain, in the first instance, a result that follows a (spacetime) volume law instead of the expected (spatial) area law. We find, however, that one obtains an area law if one truncates the commutator function ("Pauli-Jordan operator") and the Wightman function by projecting out the eigenmodes of the Pauli-Jordan operator whose eigenvalues are too close to zero according to a geometrical criterion which we describe more fully below. In connection with these results and the questions they raise, we also study the "entropy of coarse-graining" generated by thinning out the causal set, and we compare it with what one obtains by similarly thinning out a chain of harmonic oscillators, finding the same, "universal" behaviour in both cases. |
hep-th/0302219 | Matthew Kleban | Leonard Susskind | The Anthropic Landscape of String Theory | 21 pages, 5 figures | null | null | null | hep-th | null | In this lecture I make some educated guesses, about the landscape of string
theory vacua. Based on the recent work of a number of authors, it seems
plausible that the lanscape is unimaginably large and diverse. Whether we like
it or not, this is the kind of behavior that gives credence to the Anthropic
Principle. I discuss the theoretical and conceptual issues that arise in
developing a cosmology based on the diversity of environments implicit in
string theory.
| [
{
"created": "Thu, 27 Feb 2003 18:57:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Susskind",
"Leonard",
""
]
] | In this lecture I make some educated guesses, about the landscape of string theory vacua. Based on the recent work of a number of authors, it seems plausible that the lanscape is unimaginably large and diverse. Whether we like it or not, this is the kind of behavior that gives credence to the Anthropic Principle. I discuss the theoretical and conceptual issues that arise in developing a cosmology based on the diversity of environments implicit in string theory. |
1008.0585 | Zhibai Zhang | Kai-Nan Shao, Zhibai Zhang | Hidden Conformal Symmetry of Rotating Black Hole with four Charges | 15 pages, reference added | Phys.Rev.D83:106008,2011 | 10.1103/PhysRevD.83.106008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Kerr/CFT correspondence exhibits many remarkable connections between the near
horizon Kerr black hole and a CFT. Recently, a hidden conformal symmetry in the
solution space of Kerr black hole is shown by Castro, Maloney and Strominger.
Applying the formula on a rotating black hole with four independent U(1)
charges derived in string theory which is known as the 4D Cvetic-Youm solution,
we show that the same hidden conformal symmetry is also held. The temperatures
we derived match the Cardy formula correctly and we give a clarification about
old explains on them. The calculation on entropy and absorption cross section
is also given, which totally agrees with the previous results. This work
together with previous ones in this series, robustly support the validity of
the way in which the hidden conformal symmetry is derived, and reflect the
evidence of Kerr/CFT correspondence.
| [
{
"created": "Tue, 3 Aug 2010 16:13:06 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2010 02:54:49 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Oct 2010 09:36:14 GMT",
"version": "v3"
},
{
"created": "Thu, 19 May 2011 13:54:28 GMT",
"version": "v4"
}
] | 2011-05-25 | [
[
"Shao",
"Kai-Nan",
""
],
[
"Zhang",
"Zhibai",
""
]
] | Kerr/CFT correspondence exhibits many remarkable connections between the near horizon Kerr black hole and a CFT. Recently, a hidden conformal symmetry in the solution space of Kerr black hole is shown by Castro, Maloney and Strominger. Applying the formula on a rotating black hole with four independent U(1) charges derived in string theory which is known as the 4D Cvetic-Youm solution, we show that the same hidden conformal symmetry is also held. The temperatures we derived match the Cardy formula correctly and we give a clarification about old explains on them. The calculation on entropy and absorption cross section is also given, which totally agrees with the previous results. This work together with previous ones in this series, robustly support the validity of the way in which the hidden conformal symmetry is derived, and reflect the evidence of Kerr/CFT correspondence. |
2109.02207 | Qiyuan Pan | Jie Pan, Xiongying Qiao, Dong Wang, Qiyuan Pan, Zhang-Yu Nie, and
Jiliang Jing | Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with
backreactions | 17 pages, 8 figures. arXiv admin note: text overlap with
arXiv:2005.01007 | Phys. Lett. B 823 (2021) 136755 | 10.1016/j.physletb.2021.136755 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the holographic superconductors away from the probe limit in the
consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both
for the ground state and excited states, the critical temperature first
decreases then increases as the curvature correction tends towards the
Chern-Simons limit in a backreaction dependent fashion. However, the decrease
of the backreaction, the increase of the scalar mass, or the increase of the
number of nodes will weaken this subtle effect of the curvature correction.
Moreover, for the curvature correction approaching the Chern-Simons limit, we
find that the gap frequency $\omega_g/T_c$ of the conductivity decreases first
and then increases when the backreaction increases in a scalar mass dependent
fashion, which is different from the finding in the ($3+1$)-dimensional
superconductors that increasing backreaction increases $\omega_g/T_c$ in the
full parameter space. The combination of the Gauss-Bonnet gravity and
backreaction provides richer physics in the scalar condensates and conductivity
in the ($2+1$)-dimensional superconductors.
| [
{
"created": "Mon, 6 Sep 2021 01:53:46 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2021 02:14:36 GMT",
"version": "v2"
}
] | 2021-11-08 | [
[
"Pan",
"Jie",
""
],
[
"Qiao",
"Xiongying",
""
],
[
"Wang",
"Dong",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Nie",
"Zhang-Yu",
""
],
[
"Jing",
"Jiliang",
""
]
] | We construct the holographic superconductors away from the probe limit in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the curvature correction tends towards the Chern-Simons limit in a backreaction dependent fashion. However, the decrease of the backreaction, the increase of the scalar mass, or the increase of the number of nodes will weaken this subtle effect of the curvature correction. Moreover, for the curvature correction approaching the Chern-Simons limit, we find that the gap frequency $\omega_g/T_c$ of the conductivity decreases first and then increases when the backreaction increases in a scalar mass dependent fashion, which is different from the finding in the ($3+1$)-dimensional superconductors that increasing backreaction increases $\omega_g/T_c$ in the full parameter space. The combination of the Gauss-Bonnet gravity and backreaction provides richer physics in the scalar condensates and conductivity in the ($2+1$)-dimensional superconductors. |
2203.06197 | Kays Haddad | Rafael Aoude, Kays Haddad, Andreas Helset | Searching for Kerr in the 2PM amplitude | 23 pages, 2 figures, 2 appendices. Full 2PM amplitude up to eighth
order in spin in Mathematica attachment. v2: fixed typos, updated references | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical scattering of spinning objects is well described by the
spinor-helicity formalism for heavy particles. Using these variables, we derive
spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing
on physical poles to the minimal, all-spin three-point amplitudes of ref.
\cite{Arkani-Hamed:2017jhn}) in the classical limit for QED, QCD, and gravity.
The cured amplitudes are subject to deformations by contact terms, the vast
majority of whose contributions we can fix by imposing a relation between spin
structures -- motivated by lower spin multipoles of black hole scattering -- at
the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a
modest number of unfixed coefficients parametrizing contact-term deformations,
while the QCD amplitude is uniquely determined. Our gravitational Compton
amplitude allows us to push the state-of-the-art of spinning-2PM scattering to
any order in the spin vectors of both objects; we present results here and in
the auxiliary file \texttt{2PMSpin8Aux.nb} up to eighth order in the spin
vectors. Interestingly, despite leftover coefficients in the Compton amplitude,
imposing the aforementioned relation between spin structures uniquely fixes
some higher-spin parts of the 2PM amplitude.
| [
{
"created": "Fri, 11 Mar 2022 19:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2022 14:54:08 GMT",
"version": "v2"
}
] | 2022-03-30 | [
[
"Aoude",
"Rafael",
""
],
[
"Haddad",
"Kays",
""
],
[
"Helset",
"Andreas",
""
]
] | The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes of ref. \cite{Arkani-Hamed:2017jhn}) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures -- motivated by lower spin multipoles of black hole scattering -- at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the auxiliary file \texttt{2PMSpin8Aux.nb} up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude. |
hep-th/0512041 | Giampiero Esposito Dr. | Aram Saharian, Giampiero Esposito | Casimir effect with non-local boundary conditions | Latex file. In the final version, the discussion of non-local
boundary conditions has been improved, and further references have been
included | J.Phys.A39:5233-5247,2006 | 10.1088/0305-4470/39/18/032 | DSF 2005/47 | hep-th | null | Non-local boundary conditions have been considered in theoretical high-energy
physics with emphasis on one-loop quantum cosmology, one-loop conformal
anomalies, Bose-Einstein condensation models and spectral branes. In the
present paper, for the first time in the literature, the Wightman function, the
vacuum expectation values of the field square and the energy-momentum tensor
are investigated for a massive scalar field satisfying non-local boundary
conditions on a single plate and on two parallel plates. The vacuum forces
acting on the plates are evaluated. Interestingly, suitable choices of the
kernel in the non-local boundary conditions lead to forces acting on the plates
that can be repulsive for intermediate distances. It is then possible to obtain
a locally stable equilibrium value of the interplate distance stabilized by the
vacuum forces.
| [
{
"created": "Mon, 5 Dec 2005 07:51:22 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2006 16:08:22 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2006 07:16:27 GMT",
"version": "v3"
}
] | 2009-04-08 | [
[
"Saharian",
"Aram",
""
],
[
"Esposito",
"Giampiero",
""
]
] | Non-local boundary conditions have been considered in theoretical high-energy physics with emphasis on one-loop quantum cosmology, one-loop conformal anomalies, Bose-Einstein condensation models and spectral branes. In the present paper, for the first time in the literature, the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field satisfying non-local boundary conditions on a single plate and on two parallel plates. The vacuum forces acting on the plates are evaluated. Interestingly, suitable choices of the kernel in the non-local boundary conditions lead to forces acting on the plates that can be repulsive for intermediate distances. It is then possible to obtain a locally stable equilibrium value of the interplate distance stabilized by the vacuum forces. |
hep-th/9601143 | Lorenzo Magnea | P. Di Vecchia, A. Lerda, L. Magnea, R. Marotta, R. Russo | String techniques for the calculation of renormalization constants in
field theory | 54 pages, Latex, uses FEYNMAN.tex | Nucl.Phys. B469 (1996) 235-286 | 10.1016/0550-3213(96)00141-1 | NORDITA 95/85-P; DFTT 81/95 | hep-th hep-ph | null | We describe a set of methods to calculate gauge theory renormalization
constants from string theory, all based on a consistent prescription to
continue off shell open bosonic string amplitudes. We prove the consistency of
our prescription by explicitly evaluating the renormalizations of the two,
three and four-gluon amplitudes, and showing that they obey the appropriate
Ward identities. The field theory limit thus performed corresponds to the
background field method in Feynman gauge. We identify precisely the regions in
string moduli space that correspond to different classes of Feynman diagrams,
and in particular we show how to isolate contributions to the effective action.
Ultraviolet divergent terms are then encoded in a single string integral over
the modular parameter $\tau$. Finally, we derive a multiloop expression for the
effective action by computing the partition function of an open bosonic string
interacting with an external non-abelian background gauge field.
| [
{
"created": "Fri, 26 Jan 1996 11:09:33 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Di Vecchia",
"P.",
""
],
[
"Lerda",
"A.",
""
],
[
"Magnea",
"L.",
""
],
[
"Marotta",
"R.",
""
],
[
"Russo",
"R.",
""
]
] | We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription by explicitly evaluating the renormalizations of the two, three and four-gluon amplitudes, and showing that they obey the appropriate Ward identities. The field theory limit thus performed corresponds to the background field method in Feynman gauge. We identify precisely the regions in string moduli space that correspond to different classes of Feynman diagrams, and in particular we show how to isolate contributions to the effective action. Ultraviolet divergent terms are then encoded in a single string integral over the modular parameter $\tau$. Finally, we derive a multiloop expression for the effective action by computing the partition function of an open bosonic string interacting with an external non-abelian background gauge field. |
2404.14045 | Naoyuki Yamamori | Yuhma Asano, Jun Nishimura, Worapat Piensuk, Naoyuki Yamamori | Defining the type IIB matrix model without breaking Lorentz symmetry | 4 pages, no figure, (v2) minor changes with improved presentation | null | null | UTHEP-787, KEK-TH-2617 | hep-th gr-qc hep-lat | http://creativecommons.org/licenses/by/4.0/ | The type IIB matrix model is a promising nonperturbative formulation of
superstring theory, which may elucidate the emergence of (3+1)-dimensional
space-time. However, the partition function is divergent due to the Lorentz
symmetry, which is represented by a noncompact group. This divergence has been
regularized conventionally by introducing some infrared cutoff, which breaks
the Lorentz symmetry. Here we point out that Lorentz invariant observables
become classical as one removes the infrared cutoff and that this
"classicalization" is actually an artifact of the Lorentz symmetry breaking
cutoff. In order to overcome this problem, we propose a natural way to
"gauge-fix" the Lorentz symmetry in a fully nonperturbative manner. This also
enables us to perform numerical simulations in such a way that the
time-evolution can be extracted directly from the matrix configurations.
| [
{
"created": "Mon, 22 Apr 2024 09:59:12 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2024 08:58:30 GMT",
"version": "v2"
}
] | 2024-06-11 | [
[
"Asano",
"Yuhma",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Piensuk",
"Worapat",
""
],
[
"Yamamori",
"Naoyuki",
""
]
] | The type IIB matrix model is a promising nonperturbative formulation of superstring theory, which may elucidate the emergence of (3+1)-dimensional space-time. However, the partition function is divergent due to the Lorentz symmetry, which is represented by a noncompact group. This divergence has been regularized conventionally by introducing some infrared cutoff, which breaks the Lorentz symmetry. Here we point out that Lorentz invariant observables become classical as one removes the infrared cutoff and that this "classicalization" is actually an artifact of the Lorentz symmetry breaking cutoff. In order to overcome this problem, we propose a natural way to "gauge-fix" the Lorentz symmetry in a fully nonperturbative manner. This also enables us to perform numerical simulations in such a way that the time-evolution can be extracted directly from the matrix configurations. |
1605.07836 | Kornel Sailer Dr. | Z. P\'eli, S. Nagy, K. Sailer | Phase structure of the $O(2)$ ghost model with higher-order gradient
term | 15 pages, 13 figures | Phys. Rev. D 94, 065021 (2016) | 10.1103/PhysRevD.94.065021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The phase structure and the infrared behaviour of the Euclidean 3-dimensional
$O(2)$ symmetric ghost scalar field model with higher-order derivative term has
been investigated in Wegner and Houghton's renormalization group framework. The
symmetric phase in which no ghost condensation occurs and the phase with
restored symmetry but with a transient presence of a ghost condensate have been
identified. Finiteness of the correlation length at the phase boundary hints to
a phase transition of first order. The results are compared with those for the
ordinary $O(2)$ symmetric scalar field model.
| [
{
"created": "Wed, 25 May 2016 11:44:24 GMT",
"version": "v1"
}
] | 2016-09-21 | [
[
"Péli",
"Z.",
""
],
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] | The phase structure and the infrared behaviour of the Euclidean 3-dimensional $O(2)$ symmetric ghost scalar field model with higher-order derivative term has been investigated in Wegner and Houghton's renormalization group framework. The symmetric phase in which no ghost condensation occurs and the phase with restored symmetry but with a transient presence of a ghost condensate have been identified. Finiteness of the correlation length at the phase boundary hints to a phase transition of first order. The results are compared with those for the ordinary $O(2)$ symmetric scalar field model. |
hep-th/9910176 | Tetsuya Shiromizu | Tetsuya Shiromizu (DAMTP, Cambridge) | Cosmological Spinning Multi-`Black-Hole' Solution in String Theory | 6 pages, Prog.Theor.Phys. accepted | Prog.Theor.Phys. 102 (1999) 1207-1211 | 10.1143/PTP.102.1207 | DAMTP-1999-146,UTAP-348,RESCEU-39/99 | hep-th astro-ph gr-qc | null | We give a cosmological spinning multi-`black-hole' solution in the
Einstein-Maxwell-Dilaton-Axion theory with a positive cosmological constant.
This solution is the cosmological dilatonic Israel-Wilson-Perjes solution and
describes the collision of several spinning `black-holes'.
| [
{
"created": "Fri, 22 Oct 1999 09:50:38 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Shiromizu",
"Tetsuya",
"",
"DAMTP, Cambridge"
]
] | We give a cosmological spinning multi-`black-hole' solution in the Einstein-Maxwell-Dilaton-Axion theory with a positive cosmological constant. This solution is the cosmological dilatonic Israel-Wilson-Perjes solution and describes the collision of several spinning `black-holes'. |
0903.3389 | Kewang Jin | Antal Jevicki, Kewang Jin | Moduli Dynamics of AdS_3 Strings | 22 pages, no figures; references added | JHEP 0906:064,2009 | 10.1088/1126-6708/2009/06/064 | BROWN-HET-1578 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a general class of solutions for a classical string in AdS_3
spacetime. The construction is based on a Pohlmeyer type reduction, with the
sinh-Gordon model providing the general N-soliton solutions. The corresponding
exact spiky string configurations are then reconstructed through the inverse
scattering method. It is shown that the string moduli are determined entirely
by those of the solitons.
| [
{
"created": "Thu, 19 Mar 2009 18:38:57 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 2009 01:09:51 GMT",
"version": "v2"
}
] | 2009-07-22 | [
[
"Jevicki",
"Antal",
""
],
[
"Jin",
"Kewang",
""
]
] | We construct a general class of solutions for a classical string in AdS_3 spacetime. The construction is based on a Pohlmeyer type reduction, with the sinh-Gordon model providing the general N-soliton solutions. The corresponding exact spiky string configurations are then reconstructed through the inverse scattering method. It is shown that the string moduli are determined entirely by those of the solitons. |
hep-th/9412062 | null | Timothy J. Hollowood, J. Luis Miramontes and Q-Han Park | Massive Integrable Soliton Theories | 18 pages, no figures, plain tex with macro included | Nucl.Phys. B445 (1995) 451-468 | 10.1016/0550-3213(95)00142-F | SWAT/53, US-FT/18-94, SNUCTP-94-119 | hep-th | null | Massive integrable field theories in $1+1$ dimensions are defined at the
Lagrangian level, whose classical equations of motion are related to the
``non-abelian'' Toda field equations. They can be thought of as generalizations
of the sine-Gordon and complex sine-Gordon theories. The fields of the theories
take values in a non-abelian Lie group and it is argued that the coupling
constant is quantized, unlike the situation in the sine-Gordon theory, which is
a special case since its field takes values in an abelian group. It is further
shown that these theories correspond to perturbations of certain coset
conformal field theories. The solitons in the theories will, in general, carry
non-abelian charges.
| [
{
"created": "Wed, 7 Dec 1994 10:20:10 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
],
[
"Park",
"Q-Han",
""
]
] | Massive integrable field theories in $1+1$ dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the ``non-abelian'' Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges. |
0805.2538 | Vincent Rivasseau | Joseph Ben Geloun and Vincent Rivasseau | Color Grosse-Wulkenhaar models: One-loop $\beta$-functions | 14 pages, 6 Figures | Eur.Phys.J.C58:115-122,2008 | 10.1140/epjc/s10052-008-0708-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\beta$-functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are
computed at one loop using the matrix basis. In particular, for ``parallel
interactions", the model is proved asymptotically free in the UV limit for $N
>1$, and has a triviality problem or Landau ghost for $N<1$. The vanishing
$\beta$-function is recovered solely at N=1. We discuss various possible
consequences of these results.
| [
{
"created": "Fri, 16 May 2008 13:59:39 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | The $\beta$-functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is proved asymptotically free in the UV limit for $N >1$, and has a triviality problem or Landau ghost for $N<1$. The vanishing $\beta$-function is recovered solely at N=1. We discuss various possible consequences of these results. |
hep-th/0204168 | Seiberg | Hong Liu, Gregory Moore and Nathan Seiberg | Strings in a Time-Dependent Orbifold | 27 pages, minor changes and note added | JHEP 0206:045,2002 | 10.1088/1126-6708/2002/06/045 | RUNHETC-2002-11 | hep-th | null | We consider string theory in a time dependent orbifold with a null
singularity. The singularity separates a contracting universe from an expanding
universe, thus constituting a big crunch followed by a big bang. We quantize
the theory both in light-cone gauge and covariantly. We also compute some tree
and one loop amplitudes which exhibit interesting behavior near the
singularity. Our results are compatible with the possibility that strings can
pass through the singularity from the contracting to the expanding universe,
but they also indicate the need for further study of certain divergent
scattering amplitudes.
| [
{
"created": "Fri, 19 Apr 2002 15:18:17 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Apr 2002 18:03:47 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Jun 2002 14:18:34 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Liu",
"Hong",
""
],
[
"Moore",
"Gregory",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We consider string theory in a time dependent orbifold with a null singularity. The singularity separates a contracting universe from an expanding universe, thus constituting a big crunch followed by a big bang. We quantize the theory both in light-cone gauge and covariantly. We also compute some tree and one loop amplitudes which exhibit interesting behavior near the singularity. Our results are compatible with the possibility that strings can pass through the singularity from the contracting to the expanding universe, but they also indicate the need for further study of certain divergent scattering amplitudes. |
2106.08310 | Patrick Jentsch | Patrick Jentsch, Romain Daviet, Nicolas Dupuis and Stefan Floerchinger | Physical properties of the massive Schwinger model from the
nonperturbative functional renormalization group | 14 pages, 9 figures | Phys. Rev. D 105, 016028 (2022) | 10.1103/PhysRevD.105.016028 | null | hep-th cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the massive Schwinger model in $d=1+1$ dimensions using
bosonization and the nonperturbative functional renormalization group. In
agreement with previous studies we find that the phase transition, driven by a
change of the ratio $m/e$ between the mass and the charge of the fermions,
belongs to the two-dimensional Ising universality class. The temperature and
vacuum angle dependence of various physical quantities (chiral density,
electric field, entropy density) are also determined and agree with results
obtained from density matrix renormalization group studies. Screening of
fractional charges and deconfinement occur only at infinite temperature. Our
results exemplify the possibility to obtain virtually all physical properties
of an interacting system from the functional renormalization group.
| [
{
"created": "Tue, 15 Jun 2021 17:35:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jun 2021 20:22:02 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Feb 2022 17:51:57 GMT",
"version": "v3"
}
] | 2022-02-02 | [
[
"Jentsch",
"Patrick",
""
],
[
"Daviet",
"Romain",
""
],
[
"Dupuis",
"Nicolas",
""
],
[
"Floerchinger",
"Stefan",
""
]
] | We investigate the massive Schwinger model in $d=1+1$ dimensions using bosonization and the nonperturbative functional renormalization group. In agreement with previous studies we find that the phase transition, driven by a change of the ratio $m/e$ between the mass and the charge of the fermions, belongs to the two-dimensional Ising universality class. The temperature and vacuum angle dependence of various physical quantities (chiral density, electric field, entropy density) are also determined and agree with results obtained from density matrix renormalization group studies. Screening of fractional charges and deconfinement occur only at infinite temperature. Our results exemplify the possibility to obtain virtually all physical properties of an interacting system from the functional renormalization group. |
hep-th/9406079 | null | Makoto Natsuume | Higher Order Correction to the GHS String Black Hole | 14 pages, LaTeX, NSF-ITP-94-66 | Phys.Rev.D50:3949-3953,1994 | 10.1103/PhysRevD.50.3949 | null | hep-th gr-qc | null | We study the order $\alpha'$ correction to the string black hole found by
Garfinkle, Horowitz, and Strominger. We include all operators of dimension up
to four in the Lagrangian, and use the field redefinition technique which
facilitates the analysis. A mass correction, which is implied by the work of
Giddings, Polchinski, and Strominger, is found for the extremal GHS black hole.
| [
{
"created": "Tue, 14 Jun 1994 08:49:00 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Natsuume",
"Makoto",
""
]
] | We study the order $\alpha'$ correction to the string black hole found by Garfinkle, Horowitz, and Strominger. We include all operators of dimension up to four in the Lagrangian, and use the field redefinition technique which facilitates the analysis. A mass correction, which is implied by the work of Giddings, Polchinski, and Strominger, is found for the extremal GHS black hole. |
1104.4722 | Fernando Ruiz | G. Horcajada, F. Ruiz Ruiz | Geometric construction of D-branes in WZW models | 23 pages, discussion of limitations of the gluing condition approach
added | JHEP 1109:020,2011 | 10.1007/JHEP09(2011)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The geometric description of D-branes in WZW models is pushed forward. Our
starting point is a gluing condition\, $J_{+}=FJ_-$ that matches the model's
chiral currents at the worldsheet boundary through a linear map $F$ acting on
the WZW Lie algebra. The equivalence of boundary and gluing conditions of this
type is studied in detail. The analysis involves a thorough discussion of
Frobenius integrability, shows that $F$ must be an isometry, and applies to
both metrically degenerate and nondegenerate D-branes. The isometry $F$ need
not be a Lie algebra automorphism nor constantly defined over the brane. This
approach, when applied to isometries of the form $F=R$ with $R$ a constant Lie
algebra automorphism, validates metrically degenerate $R$-twined conjugacy
classes as D-branes. It also shows that no D-branes exist in semisimple WZW
models for constant\, $F=-R$.
| [
{
"created": "Mon, 25 Apr 2011 13:57:21 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2011 18:31:38 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Sep 2011 09:35:50 GMT",
"version": "v3"
}
] | 2011-09-09 | [
[
"Horcajada",
"G.",
""
],
[
"Ruiz",
"F. Ruiz",
""
]
] | The geometric description of D-branes in WZW models is pushed forward. Our starting point is a gluing condition\, $J_{+}=FJ_-$ that matches the model's chiral currents at the worldsheet boundary through a linear map $F$ acting on the WZW Lie algebra. The equivalence of boundary and gluing conditions of this type is studied in detail. The analysis involves a thorough discussion of Frobenius integrability, shows that $F$ must be an isometry, and applies to both metrically degenerate and nondegenerate D-branes. The isometry $F$ need not be a Lie algebra automorphism nor constantly defined over the brane. This approach, when applied to isometries of the form $F=R$ with $R$ a constant Lie algebra automorphism, validates metrically degenerate $R$-twined conjugacy classes as D-branes. It also shows that no D-branes exist in semisimple WZW models for constant\, $F=-R$. |
2006.16983 | Amjad Ashoorioon | Amjad Ashoorioon and Mohammad Bagher Jahani Poshteh | Black hole pair production on cosmic strings in the presence of a
background magnetic field | 7 pages, two-column, two figures, v2: matched the published version | Phys. Lett. B816 (2021) 136224 | 10.1016/j.physletb.2021.136224 | IPM/P-2020/026 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the pair creation of magnetically charged black holes on a
cosmic string in the presence of a background magnetic field. The string may
either break or fray to produce a pair of accelerating black holes described by
Ernst metric. By using the instanton action we obtain the rate of such
production. For large values of background magnetic field the production of
large black holes is probable. Comparing our results with the case of black
hole pair creation in magnetic field with no string, we show that
fraying/breaking of the cosmic string can substantially enhance the production
rate. We also obtain the result of monopole-antimonopole pair production on
cosmic string in an external magnetic field, using the WKB approximation and
compare it with the black hole results. We also provide a heuristic study of
black hole pair creation on cosmic string in the presence of a magnetic field
in the de Sitter background, although the analog of Ernst metric with a
cosmological constant is lacking. Like a cosmic string and/or a background
magnetic field, a positive cosmological constant increases the production rate.
| [
{
"created": "Tue, 30 Jun 2020 17:29:21 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2021 13:45:29 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Ashoorioon",
"Amjad",
""
],
[
"Poshteh",
"Mohammad Bagher Jahani",
""
]
] | We investigate the pair creation of magnetically charged black holes on a cosmic string in the presence of a background magnetic field. The string may either break or fray to produce a pair of accelerating black holes described by Ernst metric. By using the instanton action we obtain the rate of such production. For large values of background magnetic field the production of large black holes is probable. Comparing our results with the case of black hole pair creation in magnetic field with no string, we show that fraying/breaking of the cosmic string can substantially enhance the production rate. We also obtain the result of monopole-antimonopole pair production on cosmic string in an external magnetic field, using the WKB approximation and compare it with the black hole results. We also provide a heuristic study of black hole pair creation on cosmic string in the presence of a magnetic field in the de Sitter background, although the analog of Ernst metric with a cosmological constant is lacking. Like a cosmic string and/or a background magnetic field, a positive cosmological constant increases the production rate. |
0709.0559 | Christopher Pope | Jianwei Mei and C.N. Pope | New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity | 11 pages | Phys.Lett.B658:64-70,2007 | 10.1016/j.physletb.2007.10.045 | MIFP-07-22 | hep-th gr-qc | null | We obtain new non-extremal rotating black hole solutions in maximal
five-dimensional gauged supergravity. They are characterised by five
parameters, associated with the mass, the two angular momenta, and two
independently-specifiable charge parameters. Two of the three charges
associated with the U(1)^3 Cartan subgroup of the SO(6) gauge group are equal,
whilst the third can be independently specified. These new solutions generalise
all the previously-known rotating solutions in five-dimensional gauged
supergravity with independent angular momenta. They describe regular black
holes, provided the parameters lie in appropriate ranges so that naked
singularities and closed-timelike curves (CTCs) are avoided. We also construct
the BPS limit, and show that regular supersymmetric black holes or topological
solitons arise if the parameters are further restricted in an appropriate
manner.
| [
{
"created": "Wed, 5 Sep 2007 01:54:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mei",
"Jianwei",
""
],
[
"Pope",
"C. N.",
""
]
] | We obtain new non-extremal rotating black hole solutions in maximal five-dimensional gauged supergravity. They are characterised by five parameters, associated with the mass, the two angular momenta, and two independently-specifiable charge parameters. Two of the three charges associated with the U(1)^3 Cartan subgroup of the SO(6) gauge group are equal, whilst the third can be independently specified. These new solutions generalise all the previously-known rotating solutions in five-dimensional gauged supergravity with independent angular momenta. They describe regular black holes, provided the parameters lie in appropriate ranges so that naked singularities and closed-timelike curves (CTCs) are avoided. We also construct the BPS limit, and show that regular supersymmetric black holes or topological solitons arise if the parameters are further restricted in an appropriate manner. |
0904.4544 | Marek Rogatko | Marek Rogatko and Agnieszka Szyp{\l}owska | Massive Fermion Emission from Higher Dimensional Black Holes | 14 pages, 10 figures, RevTex, to be published in Phys.Rev.D15 | Phys.Rev.D79:104005,2009 | 10.1103/PhysRevD.79.104005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of extra dimensions on the process of massive Dirac
fermion emission in the spacetime of (4+n)-dimensional black hole, by examining
the Dirac operator in arbitrary spacetime dimension. We comment on both bulk
and brane emission and find absorption cross section and luminosity of Hawking
radiation in the low-energy approximation.
| [
{
"created": "Wed, 29 Apr 2009 07:09:02 GMT",
"version": "v1"
}
] | 2016-08-14 | [
[
"Rogatko",
"Marek",
""
],
[
"Szypłowska",
"Agnieszka",
""
]
] | We study the effect of extra dimensions on the process of massive Dirac fermion emission in the spacetime of (4+n)-dimensional black hole, by examining the Dirac operator in arbitrary spacetime dimension. We comment on both bulk and brane emission and find absorption cross section and luminosity of Hawking radiation in the low-energy approximation. |
2007.01743 | Paolo Pani | Massimo Bianchi, Dario Consoli, Alfredo Grillo, Jos\`e Francisco
Morales, Paolo Pani, Guilherme Raposo | Distinguishing fuzzballs from black holes through their multipolar
structure | v3: 5 pages, 1 figure. Fixes grammatical typos. Matches version to
appear in PRL | null | 10.1103/PhysRevLett.125.221601 | null | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within General Relativity, the unique stationary solution of an isolated
black hole is the Kerr spacetime, which has a peculiar multipolar structure
depending only on its mass and spin. We develop a general method to extract the
multipole moments of arbitrary stationary spacetimes and apply it to a large
family of horizonless microstate geometries. The latter can break the axial and
equatorial symmetry of the Kerr metric and have a much richer multipolar
structure, which provides a portal to constrain fuzzball models
phenomenologically. We find numerical evidence that all multipole moments are
typically larger (in absolute value) than those of a Kerr black hole with the
same mass and spin. Current measurements of the quadrupole moment of black-hole
candidates could place only mild constraints on fuzzballs, while future
gravitational-wave detections of extreme mass-ratio inspirals with the space
mission LISA will improve these bounds by orders of magnitude.
| [
{
"created": "Fri, 3 Jul 2020 15:04:09 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 07:07:20 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2020 13:29:15 GMT",
"version": "v3"
}
] | 2020-12-30 | [
[
"Bianchi",
"Massimo",
""
],
[
"Consoli",
"Dario",
""
],
[
"Grillo",
"Alfredo",
""
],
[
"Morales",
"Josè Francisco",
""
],
[
"Pani",
"Paolo",
""
],
[
"Raposo",
"Guilherme",
""
]
] | Within General Relativity, the unique stationary solution of an isolated black hole is the Kerr spacetime, which has a peculiar multipolar structure depending only on its mass and spin. We develop a general method to extract the multipole moments of arbitrary stationary spacetimes and apply it to a large family of horizonless microstate geometries. The latter can break the axial and equatorial symmetry of the Kerr metric and have a much richer multipolar structure, which provides a portal to constrain fuzzball models phenomenologically. We find numerical evidence that all multipole moments are typically larger (in absolute value) than those of a Kerr black hole with the same mass and spin. Current measurements of the quadrupole moment of black-hole candidates could place only mild constraints on fuzzballs, while future gravitational-wave detections of extreme mass-ratio inspirals with the space mission LISA will improve these bounds by orders of magnitude. |
1009.5071 | Jihn E. Kim | Jihn E. Kim | Self-tuning of the cosmological constant | 12 pages with 8 figures | J.Phys.Conf.Ser.259:012005,2010 | 10.1088/1742-6596/259/1/012005 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here, I discuss the cosmological constant (CC) problems, in particular paying
attention to the vanishing cosmological constant. There are three cosmological
constant problems in particle physics. Hawking's idea of calculating the
probability amplitude for our Universe is peaked at CC = 0 which I try to
obtain after the initial inflationary period using a self-tuning model. I
review what has been discussed on the Hawking type calculation, and present a
(probably) correct way to calculate the amplitude, and show that the
Kim-Kyae-Lee self-tuning model allows a finite range of parameters for the CC =
0 to have a singularly large probability, approached from the AdS side.
| [
{
"created": "Sun, 26 Sep 2010 08:22:58 GMT",
"version": "v1"
}
] | 2011-01-04 | [
[
"Kim",
"Jihn E.",
""
]
] | Here, I discuss the cosmological constant (CC) problems, in particular paying attention to the vanishing cosmological constant. There are three cosmological constant problems in particle physics. Hawking's idea of calculating the probability amplitude for our Universe is peaked at CC = 0 which I try to obtain after the initial inflationary period using a self-tuning model. I review what has been discussed on the Hawking type calculation, and present a (probably) correct way to calculate the amplitude, and show that the Kim-Kyae-Lee self-tuning model allows a finite range of parameters for the CC = 0 to have a singularly large probability, approached from the AdS side. |
hep-th/0105097 | Steven B. Giddings | Steven B. Giddings, Shamit Kachru, and Joseph Polchinski | Hierarchies from Fluxes in String Compactifications | 35 pages. v2: minor eqn. and reference changes | Phys.Rev.D66:106006,2002 | 10.1103/PhysRevD.66.106006 | NSF-ITP-01-37 | hep-th gr-qc hep-ph | null | Warped compactifications with significant warping provide one of the few
known mechanisms for naturally generating large hierarchies of physical scales.
We demonstrate that this mechanism is realizable in string theory, and give
examples involving orientifold compactifications of IIB string theory and
F-theory compactifications on Calabi-Yau four-folds. In each case, the
hierarchy of scales is fixed by a choice of RR and NS fluxes in the compact
manifold. Our solutions involve compactifications of the Klebanov-Strassler
gravity dual to a confining N=1 supersymmetric gauge theory,and the hierarchy
reflects the small scale of chiral symmetry breaking in the dual gauge theory.
| [
{
"created": "Thu, 10 May 2001 22:43:32 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2002 22:12:03 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Giddings",
"Steven B.",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Polchinski",
"Joseph",
""
]
] | Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory and F-theory compactifications on Calabi-Yau four-folds. In each case, the hierarchy of scales is fixed by a choice of RR and NS fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining N=1 supersymmetric gauge theory,and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory. |
1901.02012 | Andrew Turner | Washington Taylor, Andrew P. Turner | Generic matter representations in 6D supergravity theories | 65 pages, 4 figures, LaTeX; references added | null | 10.1007/JHEP05(2019)081 | MIT-CTP/5062 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In six-dimensional supergravity, there is a natural sense in which matter
lying in certain representations of the gauge group is "generic," in the sense
that other "exotic" matter representations require more fine tuning. From
considerations of the dimensionality of the moduli space and anomaly
cancellation conditions, we find that the generic sets of matter
representations are well-defined for 6D supergravity theories with gauge groups
containing arbitrary numbers of nonabelian factors and $\operatorname{U}(1)$
factors. These generic matter representations also match with those that arise
in the most generic F-theory constructions, both in 6D and in 4D, with
non-generic matter representations requiring more exotic singularity types. The
analysis of generic versus exotic matter illuminates long-standing puzzles
regarding F-theory models with multiple $\operatorname{U}(1)$ factors and
provides a useful framework for analyzing the 6D "swampland" of apparently
consistent low-energy theories that cannot be realized through known string
constructions. We note also that the matter content of the standard model is
generic by the criteria used here only if the global structure is
$\operatorname{SU}(3)_\text{c} \times \operatorname{SU}(2)_\text{L} \times
\operatorname{U}(1)_Y / \mathbb{Z}_6$.
| [
{
"created": "Mon, 7 Jan 2019 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2019 22:28:14 GMT",
"version": "v2"
}
] | 2019-06-26 | [
[
"Taylor",
"Washington",
""
],
[
"Turner",
"Andrew P.",
""
]
] | In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is "generic," in the sense that other "exotic" matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and $\operatorname{U}(1)$ factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple $\operatorname{U}(1)$ factors and provides a useful framework for analyzing the 6D "swampland" of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is $\operatorname{SU}(3)_\text{c} \times \operatorname{SU}(2)_\text{L} \times \operatorname{U}(1)_Y / \mathbb{Z}_6$. |
hep-th/9903082 | Gesualdo Delfino | G. Delfino | First order phase transitions and integrable field theory. The dilute
q-state Potts model | 21 pages, latex | Nucl.Phys. B554 (1999) 537-551 | 10.1016/S0550-3213(99)00329-6 | null | hep-th cond-mat | null | We consider the two-dimensional dilute q-state Potts model on its first order
phase transition surface for 0<q\leq 4. After determining the exact scattering
theory which describes the scaling limit, we compute the two-kink form factors
of the dilution, thermal and spin operators. They provide an approximation for
the correlation functions whose accuracy is illustrated by evaluating the
central charge and the scaling dimensions along the tricritical line.
| [
{
"created": "Wed, 10 Mar 1999 12:21:45 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Delfino",
"G.",
""
]
] | We consider the two-dimensional dilute q-state Potts model on its first order phase transition surface for 0<q\leq 4. After determining the exact scattering theory which describes the scaling limit, we compute the two-kink form factors of the dilution, thermal and spin operators. They provide an approximation for the correlation functions whose accuracy is illustrated by evaluating the central charge and the scaling dimensions along the tricritical line. |
hep-th/9505140 | Loriano Bonora | L.Bonora, C.S.Xiong | Topological Field Theory Interpretations and LG Representation of c=1
String Theory | 25 pages, LaTeX, report number added | Nucl.Phys. B453 (1995) 129-155 | 10.1016/0550-3213(95)00397-B | SISSA 53/95/EP, UT--704 | hep-th | null | We analyze the topological nature of $c=1$ string theory at the self--dual
radius. We find that it admits two distinct topological field theory structures
characterized by two different puncture operators. We show it first in the
unperturbed theory in which the only parameter is the cosmological constant,
then in the presence of any infinitesimal tachyonic perturbation. We also
discuss in detail a Landau--Ginzburg representation of one of the two
topological field theory structures.
| [
{
"created": "Tue, 23 May 1995 12:23:25 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 1995 11:30:35 GMT",
"version": "v2"
},
{
"created": "Mon, 29 May 1995 11:23:23 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Bonora",
"L.",
""
],
[
"Xiong",
"C. S.",
""
]
] | We analyze the topological nature of $c=1$ string theory at the self--dual radius. We find that it admits two distinct topological field theory structures characterized by two different puncture operators. We show it first in the unperturbed theory in which the only parameter is the cosmological constant, then in the presence of any infinitesimal tachyonic perturbation. We also discuss in detail a Landau--Ginzburg representation of one of the two topological field theory structures. |
2111.13544 | Massimo Giovannini | Massimo Giovannini | Viscous absorption of ultra-high-frequency gravitons | 10 pages; 2 figures | null | 10.1016/j.physletb.2022.137071 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | The high-frequency gravitons can be absorbed by the first and second
viscosities of the post-inflationary plasma as the corresponding wavelengths
reenter the Hubble radius prior to big-bang nucleosynthesis. When the total
sound speed of the medium is stiffer than radiation the rate of expansion still
exceeds the shear rate but the bulk viscosity is not negligible. Depending on
the value of the entropy density at the end of inflation the spectral energy
density of the relic gravitons gets modified in comparison with the inviscid
result when the frequency ranges between the kHz band and the GHz region. In
the nHz domain the spectrum inherits a known suppression due to neutrino
free-streaming but also a marginal spike potentially caused by a sudden
outbreak of the bulk viscosity around the quark-hadron phase transition, as
suggested by the hadron spectra produced in the collisions of heavy ions.
| [
{
"created": "Fri, 26 Nov 2021 15:25:37 GMT",
"version": "v1"
}
] | 2022-04-20 | [
[
"Giovannini",
"Massimo",
""
]
] | The high-frequency gravitons can be absorbed by the first and second viscosities of the post-inflationary plasma as the corresponding wavelengths reenter the Hubble radius prior to big-bang nucleosynthesis. When the total sound speed of the medium is stiffer than radiation the rate of expansion still exceeds the shear rate but the bulk viscosity is not negligible. Depending on the value of the entropy density at the end of inflation the spectral energy density of the relic gravitons gets modified in comparison with the inviscid result when the frequency ranges between the kHz band and the GHz region. In the nHz domain the spectrum inherits a known suppression due to neutrino free-streaming but also a marginal spike potentially caused by a sudden outbreak of the bulk viscosity around the quark-hadron phase transition, as suggested by the hadron spectra produced in the collisions of heavy ions. |
1803.09168 | Guilherme Pimentel | Guilherme L. Pimentel, Alexander M. Polyakov, Grigory M. Tarnopolsky | Vacua on the Brink of Decay | 20 pages, 8 figures | null | 10.1142/S0129055X18400135 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider free massive matter fields in static scalar, electric and
gravitational backgrounds. Tuning these backgrounds to the brink of vacuum
decay, we identify a term in their effective action that is singular. This
singular term is universal, being independent of the features of the background
configuration. In the case of gravitational backgrounds, it can be interpreted
as a quantum mechanical analog of Choptuik scaling. If the background is tuned
slightly above the instability threshold, this singular term gives the leading
contribution to the vacuum decay rate.
| [
{
"created": "Sat, 24 Mar 2018 22:09:34 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Pimentel",
"Guilherme L.",
""
],
[
"Polyakov",
"Alexander M.",
""
],
[
"Tarnopolsky",
"Grigory M.",
""
]
] | We consider free massive matter fields in static scalar, electric and gravitational backgrounds. Tuning these backgrounds to the brink of vacuum decay, we identify a term in their effective action that is singular. This singular term is universal, being independent of the features of the background configuration. In the case of gravitational backgrounds, it can be interpreted as a quantum mechanical analog of Choptuik scaling. If the background is tuned slightly above the instability threshold, this singular term gives the leading contribution to the vacuum decay rate. |
1108.0593 | Taotao Qiu | Taotao Qiu, Jarah Evslin, Yi-Fu Cai, Mingzhe Li, Xinmin Zhang | Bouncing Galileon Cosmologies | 17 pages, 7 figures, accepted by JCAP | JCAP 1110:036,2011 | 10.1088/1475-7516/2011/10/036 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present nonsingular, homogeneous and isotropic bouncing solutions of the
conformal Galileon model. We show that such solutions necessarily begin with a
radiation-dominated contracting phase. This is followed by a quintom scenario
in which the background equation of state crosses the cosmological constant
boundary allowing for a nonsingular bounce which in turn is followed by
Galilean Genesis. We analyze the spectrum of cosmological perturbations in this
background. Our results show that the fluctuations evolve smoothly and without
any pathology, but the adiabatic modes form a blue tilted spectrum. In order to
achieve a scale-invariant primordial power spectrum as required by current
observations, we introduce a light scalar field coupling to the Galileon
kinetically. We find two couplings which yield a scale-invariant spectrum, one
of which requires a fine tuning of the initial conditions. This model also
predicts a blue tilted spectrum of gravitational waves stemming from quantum
vacuum fluctuations in the contracting phase.
| [
{
"created": "Tue, 2 Aug 2011 15:14:54 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2011 09:40:50 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Qiu",
"Taotao",
""
],
[
"Evslin",
"Jarah",
""
],
[
"Cai",
"Yi-Fu",
""
],
[
"Li",
"Mingzhe",
""
],
[
"Zhang",
"Xinmin",
""
]
] | We present nonsingular, homogeneous and isotropic bouncing solutions of the conformal Galileon model. We show that such solutions necessarily begin with a radiation-dominated contracting phase. This is followed by a quintom scenario in which the background equation of state crosses the cosmological constant boundary allowing for a nonsingular bounce which in turn is followed by Galilean Genesis. We analyze the spectrum of cosmological perturbations in this background. Our results show that the fluctuations evolve smoothly and without any pathology, but the adiabatic modes form a blue tilted spectrum. In order to achieve a scale-invariant primordial power spectrum as required by current observations, we introduce a light scalar field coupling to the Galileon kinetically. We find two couplings which yield a scale-invariant spectrum, one of which requires a fine tuning of the initial conditions. This model also predicts a blue tilted spectrum of gravitational waves stemming from quantum vacuum fluctuations in the contracting phase. |
hep-th/9801004 | Yang Ji-feng | Jifeng Yang and Guang-jiong Ni | Chiral anomaly and unambiguous rational terms | 10 pages, LaTex, no figures. submitted to Mod. Phys. Lett. A | null | null | null | hep-th hep-ph | null | Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ emplying a
new treatment of Feynman Amplitudes, we attribute the regularization
independent and hence definite origin of chiral anomaly in perturbation theory
to an unambiguous term which is a rational function in momentum space. Some
relevant remarks are presented.
| [
{
"created": "Sat, 3 Jan 1998 06:50:03 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 1998 07:48:08 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Yang",
"Jifeng",
""
],
[
"Ni",
"Guang-jiong",
""
]
] | Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ emplying a new treatment of Feynman Amplitudes, we attribute the regularization independent and hence definite origin of chiral anomaly in perturbation theory to an unambiguous term which is a rational function in momentum space. Some relevant remarks are presented. |
1512.00493 | Lorenzo G. Vitale Mr. | Slava Rychkov, Lorenzo G. Vitale | Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II.
The Z_2-Broken Phase and the Chang Duality | 28 pages, 28 figures; V2: refs added, published version; V3: added
note in Appendix on perturbation theory checks | Phys. Rev. D 93, 065014 (2016) | 10.1103/PhysRevD.93.065014 | CERN-PH-TH-2015-277 | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Fock-space Hamiltonian truncation method is developed further, paying
particular attention to the treatment of the scalar field zero mode. This is
applied to the two-dimensional Phi^4 theory in the phase where the Z_2-symmetry
is spontaneously broken, complementing our earlier study of the Z_2-invariant
phase and of the critical point. We also check numerically the weak/strong
duality of this theory discussed long ago by Chang.
| [
{
"created": "Tue, 1 Dec 2015 21:37:45 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Feb 2016 11:06:04 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Apr 2019 14:27:54 GMT",
"version": "v3"
}
] | 2019-04-03 | [
[
"Rychkov",
"Slava",
""
],
[
"Vitale",
"Lorenzo G.",
""
]
] | The Fock-space Hamiltonian truncation method is developed further, paying particular attention to the treatment of the scalar field zero mode. This is applied to the two-dimensional Phi^4 theory in the phase where the Z_2-symmetry is spontaneously broken, complementing our earlier study of the Z_2-invariant phase and of the critical point. We also check numerically the weak/strong duality of this theory discussed long ago by Chang. |
1306.1173 | Agostino Patella | Luigi Del Debbio, Agostino Patella, Antonio Rago | Space-time symmetries and the Yang-Mills gradient flow | 29 pages | null | 10.1007/JHEP11(2013)212 | CERN-PH-TH-2013/12 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recent introduction of the gradient flow has provided a new tool to probe
the dynamics of quantum field theories. The latest developments have shown how
to use the gradient flow for the exploration of symmetries, and the definition
of the corresponding renormalized Noether currents. In this paper we introduce
infinitesimal translations along the gradient flow for gauge theories, and
study the corresponding Ward identities. This approach is readily generalized
to the case of gauge theories defined on a lattice, where the regulator breaks
translation invariance. The Ward identities in this case lead to a
nonperturbative renormalization of the energy-momentum tensor. We discuss an
application of this method to the study of dilatations and scale invariance on
the lattice.
| [
{
"created": "Wed, 5 Jun 2013 17:04:19 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Del Debbio",
"Luigi",
""
],
[
"Patella",
"Agostino",
""
],
[
"Rago",
"Antonio",
""
]
] | The recent introduction of the gradient flow has provided a new tool to probe the dynamics of quantum field theories. The latest developments have shown how to use the gradient flow for the exploration of symmetries, and the definition of the corresponding renormalized Noether currents. In this paper we introduce infinitesimal translations along the gradient flow for gauge theories, and study the corresponding Ward identities. This approach is readily generalized to the case of gauge theories defined on a lattice, where the regulator breaks translation invariance. The Ward identities in this case lead to a nonperturbative renormalization of the energy-momentum tensor. We discuss an application of this method to the study of dilatations and scale invariance on the lattice. |
hep-th/0605161 | Osvaldo Pablo Santillan | O.P.Santillan | New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and
gamma-deformations | 29 pages, no figures. References added and corrected. The discussion
is minimaly changed and a subtle notational problem was corrected | Phys.Rev.D73:126011,2006 | 10.1103/PhysRevD.73.126011 | null | hep-th | null | It is found the most general local form of the 11-dimensional supergravity
backgrounds which, by reduction along one isometry, give rise to IIA
supergravity solutions with a RR field and a non trivial dilaton, and for which
the condition $F^{(1,1)}=0$ holds. This condition is stronger than the usual
condition $F^{ab}J_{ab}=0$, required by supersymmetry. It is shown that these
D6 wrapped backgrounds arise from the direct sum of the flat Minkowski metric
with certain G2 holonomy metrics admitting an U(1) action, with a local form
found by Apostolov and Salamon. Indeed, the strong supersymmetry condition is
equivalent to the statement that there is a new isometry on the G2 manifold,
which commutes with the old one; therefore these metrics are inherently toric.
An example that is asymptotically Calabi-Yau is presented. There are found
another G2 metrics which give rise to half-flat SU(3) structures. All this
examples possess an U(1)x U(1)x U(1) isometry subgroup. Supergravity solutions
without fluxes corresponding to these G2 metrics are constructed. The presence
of a $T^3$ subgroup of isometries permits to apply the \gamma-deformation
technique in order to generate new supergravity solutions with fluxes.
| [
{
"created": "Tue, 16 May 2006 22:53:38 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2006 00:48:42 GMT",
"version": "v2"
},
{
"created": "Sun, 21 May 2006 05:57:04 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Santillan",
"O. P.",
""
]
] | It is found the most general local form of the 11-dimensional supergravity backgrounds which, by reduction along one isometry, give rise to IIA supergravity solutions with a RR field and a non trivial dilaton, and for which the condition $F^{(1,1)}=0$ holds. This condition is stronger than the usual condition $F^{ab}J_{ab}=0$, required by supersymmetry. It is shown that these D6 wrapped backgrounds arise from the direct sum of the flat Minkowski metric with certain G2 holonomy metrics admitting an U(1) action, with a local form found by Apostolov and Salamon. Indeed, the strong supersymmetry condition is equivalent to the statement that there is a new isometry on the G2 manifold, which commutes with the old one; therefore these metrics are inherently toric. An example that is asymptotically Calabi-Yau is presented. There are found another G2 metrics which give rise to half-flat SU(3) structures. All this examples possess an U(1)x U(1)x U(1) isometry subgroup. Supergravity solutions without fluxes corresponding to these G2 metrics are constructed. The presence of a $T^3$ subgroup of isometries permits to apply the \gamma-deformation technique in order to generate new supergravity solutions with fluxes. |
1703.08192 | Piotr Witkowski | Piotr Sur\'owka, Piotr Witkowski | A note on symmetries in the path integral formulation of the Langevin
dynamics | 13 pages, the manuscript completely re-written as we verified that
the breaking of some of the identities was erroneously attributed to anomaly
that is indeed not present | Phys. Rev. E 98, 042140 (2018) | 10.1103/PhysRevE.98.042140 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a dissipative Langevin dynamics in the path integral formulation
using the Martin-Siggia-Rose formalism. The effective action is supersymmetric
and we identify the supercharges. In addition we study the transformations
generated by superderivatives, which were recently included in the
cohomological structure emerging in the dissipative systems. We find that these
transformations do not generate Ward identities, which are explicitly broken,
however, they lead to universal identities, which we derive from
Schwinger-Dyson equations. We confirm that the above identities hold in an
explicit example of Ornstein-Uhlenbeck process.
| [
{
"created": "Thu, 23 Mar 2017 18:11:34 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2017 17:37:17 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Feb 2018 13:26:41 GMT",
"version": "v3"
},
{
"created": "Sun, 30 Dec 2018 07:41:21 GMT",
"version": "v4"
}
] | 2019-01-01 | [
[
"Surówka",
"Piotr",
""
],
[
"Witkowski",
"Piotr",
""
]
] | We study a dissipative Langevin dynamics in the path integral formulation using the Martin-Siggia-Rose formalism. The effective action is supersymmetric and we identify the supercharges. In addition we study the transformations generated by superderivatives, which were recently included in the cohomological structure emerging in the dissipative systems. We find that these transformations do not generate Ward identities, which are explicitly broken, however, they lead to universal identities, which we derive from Schwinger-Dyson equations. We confirm that the above identities hold in an explicit example of Ornstein-Uhlenbeck process. |
1705.02774 | Matej Pavsic | Matej Pav\v{s}i\v{c} | Localized States in Quantum Field Theory | 33 pages, 6 figures; a discussion of a rectangular wave packet is
included; Introduction is modified | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Localized states in relativistic quantum field theories are usually
considered as problematic, because of their seemingly strange (non covariant)
behavior under Lorentz transformations, and because they can spread faster than
light. We point out that a careful quantum field theoretic analysis in which we
distinguish between basis position states and wave packet states clarifies the
issue of Lorentz covariance. The issue of causality is resolved by observing
that superluminal transmission of information cannot be achieved by such wave
packets. Within this context it follows that the Reef-Schlieder theorem, which
proves that localized states can exhibit influence on each other over space
like distances, does not imply that such states cannot exist in quantum field
theory.
| [
{
"created": "Mon, 8 May 2017 08:29:54 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2017 13:16:34 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Oct 2017 08:00:56 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Jan 2018 12:45:01 GMT",
"version": "v4"
}
] | 2018-01-26 | [
[
"Pavšič",
"Matej",
""
]
] | Localized states in relativistic quantum field theories are usually considered as problematic, because of their seemingly strange (non covariant) behavior under Lorentz transformations, and because they can spread faster than light. We point out that a careful quantum field theoretic analysis in which we distinguish between basis position states and wave packet states clarifies the issue of Lorentz covariance. The issue of causality is resolved by observing that superluminal transmission of information cannot be achieved by such wave packets. Within this context it follows that the Reef-Schlieder theorem, which proves that localized states can exhibit influence on each other over space like distances, does not imply that such states cannot exist in quantum field theory. |
1707.03797 | Fernando Marchesano | Fernando Marchesano, Raffaele Savelli, Sebastian Schwieger | Compact T-branes | 37 pages, 1 figure, 2 appendices; minor corrections and reference
added | JHEP 1709 (2017) 132 | 10.1007/JHEP09(2017)132 | IFT-UAM-CSIC-17-063 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse global aspects of 7-brane backgrounds with a non-commuting profile
for their worldvolume scalars, also known as T-branes. In particular, we
consider configurations with no poles and globally well-defined over a compact
K\"ahler surface. We find that such T-branes cannot be constructed on surfaces
of positive or vanishing Ricci curvature. For the existing T-branes, we discuss
their stability as we move in K\"ahler moduli space at large volume and provide
examples of T-branes splitting into non-mutually-supersymmetric constituents as
they cross a stability wall.
| [
{
"created": "Wed, 12 Jul 2017 16:52:58 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Sep 2018 13:23:12 GMT",
"version": "v2"
}
] | 2018-09-05 | [
[
"Marchesano",
"Fernando",
""
],
[
"Savelli",
"Raffaele",
""
],
[
"Schwieger",
"Sebastian",
""
]
] | We analyse global aspects of 7-brane backgrounds with a non-commuting profile for their worldvolume scalars, also known as T-branes. In particular, we consider configurations with no poles and globally well-defined over a compact K\"ahler surface. We find that such T-branes cannot be constructed on surfaces of positive or vanishing Ricci curvature. For the existing T-branes, we discuss their stability as we move in K\"ahler moduli space at large volume and provide examples of T-branes splitting into non-mutually-supersymmetric constituents as they cross a stability wall. |
0810.1427 | Mohammad Reza Setare | Kourosh Nozari, M. R. Setare, Tahereh Azizi, and Noushin Behrouz | A Non-minimally Coupled Quintom Dark Energy Model on the Warped DGP
Brane | 28 pages, 10 figures | Phys.Scripta 80:025901,2009 | 10.1088/0031-8949/80/02/025901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study dynamics of equation of state parameter for a non-minimally coupled
quintom dark energy component on the warped DGP brane. We investigate crossing
of the cosmological constant line in this scenario. This crossing occurs in
both DGP$^{\pm}$ branches of the model.
| [
{
"created": "Wed, 8 Oct 2008 13:18:41 GMT",
"version": "v1"
}
] | 2009-07-22 | [
[
"Nozari",
"Kourosh",
""
],
[
"Setare",
"M. R.",
""
],
[
"Azizi",
"Tahereh",
""
],
[
"Behrouz",
"Noushin",
""
]
] | We study dynamics of equation of state parameter for a non-minimally coupled quintom dark energy component on the warped DGP brane. We investigate crossing of the cosmological constant line in this scenario. This crossing occurs in both DGP$^{\pm}$ branches of the model. |
hep-th/0404001 | Axel Krause | Axel Krause | On De Sitter Vacua in Strongly Coupled Heterotic String Theory | 7 pages, 3 figures, To appear in the Proceedings of SUSY 2003, held
at the University of Arizona, Tucson, AZ, 5-10 June 2003; v2: refs. added | null | null | UMD-PP-04-034 | hep-th | null | We describe how 4d de Sitter vacua might emerge from 11d heterotic M-theory.
Non-perturbative effects and $G$-fluxes play a crucial role leading to vacua
with F-term supersymmetry breaking and a positive energy density. Charged
scalar matter fields are no longer massless in these vacua thus solving one of
the problems of the heterotic string. Moreover, interesting dark matter
candidates appear in a natural way.
| [
{
"created": "Wed, 31 Mar 2004 22:13:55 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2004 01:55:27 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Krause",
"Axel",
""
]
] | We describe how 4d de Sitter vacua might emerge from 11d heterotic M-theory. Non-perturbative effects and $G$-fluxes play a crucial role leading to vacua with F-term supersymmetry breaking and a positive energy density. Charged scalar matter fields are no longer massless in these vacua thus solving one of the problems of the heterotic string. Moreover, interesting dark matter candidates appear in a natural way. |
1409.4463 | Martin Cederwall | Martin Cederwall | T-duality and non-geometric solutions from double geometry | 13 pp., plain tex | null | 10.1002/prop.201400069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Although the introduction of generalised and extended geometry has been
motivated mainly by the appearance of dualities upon reductions on tori, it has
until now been unclear how (all) the duality transformations arise from first
principles in extended geometry. A proposal for solving this problem is given
in the framework of double field theory. It is based on a clearly defined
extension of the definition of gauge symmetry by isometries of an underlying
pseudo-Riemannian manifold. The ensuing relation between transformations of
coordinates and fields, which is now derived from first principles, differs
from earlier proposals.
| [
{
"created": "Mon, 15 Sep 2014 22:10:53 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Cederwall",
"Martin",
""
]
] | Although the introduction of generalised and extended geometry has been motivated mainly by the appearance of dualities upon reductions on tori, it has until now been unclear how (all) the duality transformations arise from first principles in extended geometry. A proposal for solving this problem is given in the framework of double field theory. It is based on a clearly defined extension of the definition of gauge symmetry by isometries of an underlying pseudo-Riemannian manifold. The ensuing relation between transformations of coordinates and fields, which is now derived from first principles, differs from earlier proposals. |
1107.4728 | Jerzy Kowalski-Glikman | R. Durka, J. Kowalski-Glikman, and M. Szczachor | Gauged AdS-Maxwell algebra and gravity | 8 pages; in version 2 references added; in version 3, two more
references and comment added | null | 10.1142/S0217732311037078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We deform the anti-de Sitter algebra by adding additional generators
$\mathcal{Z}_{ab}$, forming in this way the negative cosmological constant
counterpart of the Maxwell algebra. We gauge this algebra and construct a
dynamical model with the help of a constrained the BF theory. It turns out that
the resulting theory is described by the Einstein-Cartan action with Holst
term, and the gauge fields associated with the Maxwell generators
$\mathcal{Z}_{ab}$ appear only in topological terms that do not influence
dynamical field equations. We briefly comment on the extension of this
construction, which would lead to a nontrivial Maxwell fields dynamics.
| [
{
"created": "Sun, 24 Jul 2011 07:41:59 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2011 07:32:04 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Aug 2011 14:27:56 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Durka",
"R.",
""
],
[
"Kowalski-Glikman",
"J.",
""
],
[
"Szczachor",
"M.",
""
]
] | We deform the anti-de Sitter algebra by adding additional generators $\mathcal{Z}_{ab}$, forming in this way the negative cosmological constant counterpart of the Maxwell algebra. We gauge this algebra and construct a dynamical model with the help of a constrained the BF theory. It turns out that the resulting theory is described by the Einstein-Cartan action with Holst term, and the gauge fields associated with the Maxwell generators $\mathcal{Z}_{ab}$ appear only in topological terms that do not influence dynamical field equations. We briefly comment on the extension of this construction, which would lead to a nontrivial Maxwell fields dynamics. |
1703.10759 | Jean-Emile Bourgine | Jean-Emile Bourgine, Masayuki Fukuda, Koichi Harada, Yutaka Matsuo and
Rui-Dong Zhu | (p,q)-webs of DIM representations, 5d N=1 instanton partition functions
and qq-characters | 42 pages | null | 10.1007/JHEP11(2017)034 | UT-17-12 | hep-th math-ph math.AG math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Instanton partition functions of $\mathcal{N}=1$ 5d Super Yang-Mills reduced
on $S^1$ can be engineered in type IIB string theory from the $(p,q)$-branes
web diagram. To this diagram is superimposed a web of representations of the
Ding-Iohara-Miki (DIM) algebra that acts on the partition function. In this
correspondence, each segment is associated to a representation, and the
(topological string) vertex is identified with the intertwiner operator
constructed by Awata, Feigin and Shiraishi. We define a new intertwiner acting
on the representation spaces of levels $(1,n)\otimes(0,m)\to(1,n+m)$, thereby
generalizing to higher rank $m$ the original construction. It allows us to use
a folded version of the usual $(p,q)$-web diagram, bringing great
simplifications to actual computations. As a result, the characterization of
Gaiotto states and vertical intertwiners, previously obtained by some of the
authors, is uplifted to operator relations acting in the Fock space of
horizontal representations. We further develop a method to build qq-characters
of linear quivers based on the horizontal action of DIM elements. While
fundamental qq-characters can be built using the coproduct, higher ones require
the introduction of a (quantum) Weyl reflection acting on tensor products of
DIM generators.
| [
{
"created": "Fri, 31 Mar 2017 05:20:53 GMT",
"version": "v1"
}
] | 2017-12-06 | [
[
"Bourgine",
"Jean-Emile",
""
],
[
"Fukuda",
"Masayuki",
""
],
[
"Harada",
"Koichi",
""
],
[
"Matsuo",
"Yutaka",
""
],
[
"Zhu",
"Rui-Dong",
""
]
] | Instanton partition functions of $\mathcal{N}=1$ 5d Super Yang-Mills reduced on $S^1$ can be engineered in type IIB string theory from the $(p,q)$-branes web diagram. To this diagram is superimposed a web of representations of the Ding-Iohara-Miki (DIM) algebra that acts on the partition function. In this correspondence, each segment is associated to a representation, and the (topological string) vertex is identified with the intertwiner operator constructed by Awata, Feigin and Shiraishi. We define a new intertwiner acting on the representation spaces of levels $(1,n)\otimes(0,m)\to(1,n+m)$, thereby generalizing to higher rank $m$ the original construction. It allows us to use a folded version of the usual $(p,q)$-web diagram, bringing great simplifications to actual computations. As a result, the characterization of Gaiotto states and vertical intertwiners, previously obtained by some of the authors, is uplifted to operator relations acting in the Fock space of horizontal representations. We further develop a method to build qq-characters of linear quivers based on the horizontal action of DIM elements. While fundamental qq-characters can be built using the coproduct, higher ones require the introduction of a (quantum) Weyl reflection acting on tensor products of DIM generators. |
hep-th/9911083 | Mark Trodden | Sean M. Carroll, Simeon Hellerman and Mark Trodden | BPS Domain Wall Junctions in Infinitely Large Extra Dimensions | 17 pages, uses RevTeX, new references added | Phys.Rev. D62 (2000) 044049 | 10.1103/PhysRevD.62.044049 | EFI 99-44, CWRU-P33-99 | hep-th hep-ph | null | We consider models of scalar fields coupled to gravity which are
higher-dimensional generalizations of four dimensional supergravity. We use
these models to describe domain wall junctions in an anti-de Sitter background.
We derive Bogomolnyi equations for the scalar fields from which the walls are
constructed and for the metric. From these equations a BPS-like formula for the
junction energy can be derived. We demonstrate that such junctions localize
gravity in the presence of more than one uncompactified extra dimension.
| [
{
"created": "Thu, 11 Nov 1999 23:10:53 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 2000 14:44:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Carroll",
"Sean M.",
""
],
[
"Hellerman",
"Simeon",
""
],
[
"Trodden",
"Mark",
""
]
] | We consider models of scalar fields coupled to gravity which are higher-dimensional generalizations of four dimensional supergravity. We use these models to describe domain wall junctions in an anti-de Sitter background. We derive Bogomolnyi equations for the scalar fields from which the walls are constructed and for the metric. From these equations a BPS-like formula for the junction energy can be derived. We demonstrate that such junctions localize gravity in the presence of more than one uncompactified extra dimension. |
hep-th/0408046 | Constantinescu | Florin Constantinescu | Supersymmetric Gupta-Bleuler Quantization | 10 pages | null | null | null | hep-th | null | We formulate the Gupta-Bleuler canonical, covariant and gauge invariant
supersymmetric quantization of the supersymmetric (massless) vector field. Our
main tool is the recently introduced Hilbert-Krein structure of the N=1
superspace.
| [
{
"created": "Thu, 5 Aug 2004 17:26:50 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 05:58:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Constantinescu",
"Florin",
""
]
] | We formulate the Gupta-Bleuler canonical, covariant and gauge invariant supersymmetric quantization of the supersymmetric (massless) vector field. Our main tool is the recently introduced Hilbert-Krein structure of the N=1 superspace. |
1101.4254 | Ashoke Sen | Ashoke Sen | State Operator Correspondence and Entanglement in AdS_2/CFT_1 | LaTeX file, 23 pages, 3 figures | Entropy 2011, 13(7), 1305-1323 | 10.3390/e13071305 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Since euclidean global AdS_2 space represented as a strip has two boundaries,
the state / operator correspondence in the dual CFT_1 reduces to the standard
map from the operators acting on a single copy of the Hilbert space to states
in the tensor product of two copies of the Hilbert space. Using this picture we
argue that the corresponding states in the dual string theory living on AdS_2 x
K are described by twisted version of the Hartle-Hawking states, the twists
being generated by a large unitary group of symmetries that this string theory
must possess. This formalism makes natural the dual interpretation of the black
hole entropy, -- as the logarithm of the degeneracy of ground states of the
quantum mechanics describing the low energy dynamics of the black hole, and
also as an entanglement entropy between the two copies of the same quantum
theory living on the two boundaries of global AdS_2 separated by the event
horizon.
| [
{
"created": "Sat, 22 Jan 2011 02:49:04 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2011 17:40:02 GMT",
"version": "v2"
}
] | 2011-12-16 | [
[
"Sen",
"Ashoke",
""
]
] | Since euclidean global AdS_2 space represented as a strip has two boundaries, the state / operator correspondence in the dual CFT_1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the tensor product of two copies of the Hilbert space. Using this picture we argue that the corresponding states in the dual string theory living on AdS_2 x K are described by twisted version of the Hartle-Hawking states, the twists being generated by a large unitary group of symmetries that this string theory must possess. This formalism makes natural the dual interpretation of the black hole entropy, -- as the logarithm of the degeneracy of ground states of the quantum mechanics describing the low energy dynamics of the black hole, and also as an entanglement entropy between the two copies of the same quantum theory living on the two boundaries of global AdS_2 separated by the event horizon. |
1808.08128 | Johannes Bl\"umlein | Johannes Bl\"umlein | Iterative Non-iterative Integrals in Quantum Field Theory | 27 pages Latex, 3 figures; to appear in the Proceedings of the KMPB
Conference `Elliptic Integrals, Elliptic Functions and Modular Forms in
Quantum Field Theory', October 23-26, Zeuthen, Germany, (Springer, Wien,
2018) | null | null | DESY 18-143, DO-TH 17/08 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Single scale Feynman integrals in quantum field theories obey difference or
differential equations with respect to their discrete parameter $N$ or
continuous parameter $x$. The analysis of these equations reveals to which
order they factorize, which can be different in both cases. The simplest
systems are the ones which factorize to first order. For them complete solution
algorithms exist. The next interesting level is formed by those cases in which
also irreducible second order systems emerge. We give a survey on the latter
case. The solutions can be obtained as general $_2F_1$ solutions. The
corresponding solutions of the associated inhomogeneous differential equations
form so-called iterative non-iterative integrals. There are known conditions
under which one may represent the solutions by complete elliptic integrals. In
this case one may find representations in terms of meromorphic modular
functions, out of which special cases allow representations in the framework of
elliptic polylogarithms with generalized parameters. These are in general
weighted by a power of $1/\eta(\tau)$, where $\eta(\tau)$ is Dedekind's
$\eta$-function. Single scale elliptic solutions emerge in the
$\rho$-parameter, which we use as an illustrative example. They also occur in
the 3-loop QCD corrections to massive operator matrix elements and the massive
3-loop form factors.
| [
{
"created": "Fri, 24 Aug 2018 13:05:15 GMT",
"version": "v1"
}
] | 2018-08-27 | [
[
"Blümlein",
"Johannes",
""
]
] | Single scale Feynman integrals in quantum field theories obey difference or differential equations with respect to their discrete parameter $N$ or continuous parameter $x$. The analysis of these equations reveals to which order they factorize, which can be different in both cases. The simplest systems are the ones which factorize to first order. For them complete solution algorithms exist. The next interesting level is formed by those cases in which also irreducible second order systems emerge. We give a survey on the latter case. The solutions can be obtained as general $_2F_1$ solutions. The corresponding solutions of the associated inhomogeneous differential equations form so-called iterative non-iterative integrals. There are known conditions under which one may represent the solutions by complete elliptic integrals. In this case one may find representations in terms of meromorphic modular functions, out of which special cases allow representations in the framework of elliptic polylogarithms with generalized parameters. These are in general weighted by a power of $1/\eta(\tau)$, where $\eta(\tau)$ is Dedekind's $\eta$-function. Single scale elliptic solutions emerge in the $\rho$-parameter, which we use as an illustrative example. They also occur in the 3-loop QCD corrections to massive operator matrix elements and the massive 3-loop form factors. |
1204.3877 | Alessandro Codello | A. Codello | Scaling Solutions in Continuous Dimension | 5 pages, 5 figures, published version | J. Phys. A: Math. Theor. 45 (2012) 465006 | 10.1088/1751-8113/45/46/465006 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study scaling solutions of the RG flow equation for the Z_2-effective
potential in continuous dimension. As the dimension is lowered from d=4 we
first observe the appearance of the Ising scaling solution and successively the
apparence of multi-critical scaling solutions of arbitrary order. Approaching
d=2 these multi-critical scaling solutions converge to the unitary minimal
models found in CFT.
| [
{
"created": "Tue, 17 Apr 2012 18:44:52 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2012 09:57:51 GMT",
"version": "v2"
}
] | 2012-12-18 | [
[
"Codello",
"A.",
""
]
] | We study scaling solutions of the RG flow equation for the Z_2-effective potential in continuous dimension. As the dimension is lowered from d=4 we first observe the appearance of the Ising scaling solution and successively the apparence of multi-critical scaling solutions of arbitrary order. Approaching d=2 these multi-critical scaling solutions converge to the unitary minimal models found in CFT. |
2206.06578 | Yoshitaka Hatta | Mitsutoshi Fujita, Yoshitaka Hatta, Shigeki Sugimoto, Takahiro Ueda | Nucleon D-term in holographic QCD | 40 pages | Prog. Theor. Exp. Phys. 2022 093B06 | 10.1093/ptep/ptac110 | null | hep-th hep-ph | http://creativecommons.org/publicdomain/zero/1.0/ | The D-term is one of the conserved charges of hadrons defined as the forward
limit of the gravitational form factor $D(t)$. We calculate the nucleon's
D-term in a holographic QCD model in which the nucleon is described as a
soliton in five dimensions. We show that the form factor $D(t)$ is saturated by
the exchanges of infinitely many $0^{++}$ and $2^{++}$ glueballs dual to
transverse-traceless metric fluctuations on the Wick rotated AdS$_7$ black hole
geometry. We refer to this phenomenon as `glueball dominance', in perfect
analogy to the vector meson dominance of the electromagnetic form factors.
However, the value at vanishing momentum transfer $D(t=0)$ can be interpreted
as due to the exchange of pairs of pions and infinitely many vector and
axial-vector mesons without any reference to glueballs. We find that the D-term
is slightly negative as a result of a cancellation between the isovector and
isoscalar meson contributions.
| [
{
"created": "Tue, 14 Jun 2022 03:45:22 GMT",
"version": "v1"
}
] | 2022-09-27 | [
[
"Fujita",
"Mitsutoshi",
""
],
[
"Hatta",
"Yoshitaka",
""
],
[
"Sugimoto",
"Shigeki",
""
],
[
"Ueda",
"Takahiro",
""
]
] | The D-term is one of the conserved charges of hadrons defined as the forward limit of the gravitational form factor $D(t)$. We calculate the nucleon's D-term in a holographic QCD model in which the nucleon is described as a soliton in five dimensions. We show that the form factor $D(t)$ is saturated by the exchanges of infinitely many $0^{++}$ and $2^{++}$ glueballs dual to transverse-traceless metric fluctuations on the Wick rotated AdS$_7$ black hole geometry. We refer to this phenomenon as `glueball dominance', in perfect analogy to the vector meson dominance of the electromagnetic form factors. However, the value at vanishing momentum transfer $D(t=0)$ can be interpreted as due to the exchange of pairs of pions and infinitely many vector and axial-vector mesons without any reference to glueballs. We find that the D-term is slightly negative as a result of a cancellation between the isovector and isoscalar meson contributions. |
hep-th/0001196 | Simon Sirca | N. Mankoc Borstnik (Univ. of Ljubljana, Jozef Stefan Institute), H. B.
Nielsen (Department of Physics, Niels Bohr Institute) | Unification of spins and charges in Grassmann space and in space of
differential forms | 26 pages, no figures | null | null | null | hep-th | null | Polynomials in Grassmann space can be used to describe all the internal
degrees of freedom of spinors, scalars and vectors, that is their spins and
charges. It was shown that K\"ahler spinors, which are polynomials of
differential forms, can be generalized to describe not only spins of spinors
but also spins of vectors as well as spins and charges of scalars, vectors and
spinors. If the space (ordinary and noncommutative) has 14 dimensions or more,
the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions
to manifest in four dimensional subspace as ordinary gravity and all needed
gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's
one (if generalized) and our, manifest four generations of massless fermions,
which are left handed SU(2) doublets and right handed SU(2) singlets. In this
talk a possible way of spontaneously broken symmetries is pointed out on the
level of canonical momentum.
| [
{
"created": "Fri, 28 Jan 2000 12:57:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Borstnik",
"N. Mankoc",
"",
"Univ. of Ljubljana, Jozef Stefan Institute"
],
[
"Nielsen",
"H. B.",
"",
"Department of Physics, Niels Bohr Institute"
]
] | Polynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that K\"ahler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but also spins of vectors as well as spins and charges of scalars, vectors and spinors. If the space (ordinary and noncommutative) has 14 dimensions or more, the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions to manifest in four dimensional subspace as ordinary gravity and all needed gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's one (if generalized) and our, manifest four generations of massless fermions, which are left handed SU(2) doublets and right handed SU(2) singlets. In this talk a possible way of spontaneously broken symmetries is pointed out on the level of canonical momentum. |
hep-th/9904118 | Kazutoshi Ohta | Kazutoshi Ohta | Moduli Space of Vacua of Supersymmetric Chern-Simons Theories and Type
IIB Branes | 16 pages, LaTeX2e, 2 figures, typos corrected | JHEP 9906:025,1999 | 10.1088/1126-6708/1999/06/025 | YITP-99-23 | hep-th | null | We study the correspondence between the moduli space of vacua of
three-dimensional supersymmetric Yang-Mills (Maxwell) Chern-Simons theories and
brane configurations with (p,q)5-brane. For Coulomb branches, the number of the
massless adjoint scalar fields in various supersymmetric theories exactly
coincides with the number of the freely moving directions of D3-branes
stretched between two 5-branes. When we include a matter superfield into the
supersymmetric Chern-Simons theory two distinct symmetric and asymmetric phase
appear. The symmetric phase is peculiar to this Chern-Simons Higgs system. We
find the corresponding brane configuration for these phases. We also identify
the stringy counterpart of the topological vortex state in the asymmetric
phase.
| [
{
"created": "Fri, 16 Apr 1999 02:07:28 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 1999 09:15:23 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Ohta",
"Kazutoshi",
""
]
] | We study the correspondence between the moduli space of vacua of three-dimensional supersymmetric Yang-Mills (Maxwell) Chern-Simons theories and brane configurations with (p,q)5-brane. For Coulomb branches, the number of the massless adjoint scalar fields in various supersymmetric theories exactly coincides with the number of the freely moving directions of D3-branes stretched between two 5-branes. When we include a matter superfield into the supersymmetric Chern-Simons theory two distinct symmetric and asymmetric phase appear. The symmetric phase is peculiar to this Chern-Simons Higgs system. We find the corresponding brane configuration for these phases. We also identify the stringy counterpart of the topological vortex state in the asymmetric phase. |
0911.1711 | Papantonopoulos Eleftherios | Theodoros Kolyvaris, George Koutsoumbas, Eleftherios Papantonopoulos
and George Siopsis | A New Class of Exact Hairy Black Hole Solutions | 18 pages, 6 figures, minor changes, references added, published
version | Gen.Rel.Grav.43:163-180,2011 | 10.1007/s10714-010-1079-0 | UTHET-09-1001 | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We present a new class of black hole solutions with minimally coupled scalar
field in the presence of a negative cosmological constant. We consider a
one-parameter family of self-interaction potentials parametrized by a
dimensionless parameter $g$. When $g=0$, we recover the conformally invariant
solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing $g$
signals the departure from conformal invariance. All solutions are
perturbatively stable for negative black hole mass and they may develop
instabilities for positive mass. Thermodynamically, there is a critical
temperature at vanishing black hole mass, where a higher-order phase transition
occurs, as in the case of the MTZ black hole. Additionally, we obtain a branch
of hairy solutions which undergo a first-order phase transition at a second
critical temperature which depends on $g$ and it is higher than the MTZ
critical temperature. As $g\to 0$, this second critical temperature diverges.
| [
{
"created": "Mon, 9 Nov 2009 15:58:05 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2010 09:12:42 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Kolyvaris",
"Theodoros",
""
],
[
"Koutsoumbas",
"George",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Siopsis",
"George",
""
]
] | We present a new class of black hole solutions with minimally coupled scalar field in the presence of a negative cosmological constant. We consider a one-parameter family of self-interaction potentials parametrized by a dimensionless parameter $g$. When $g=0$, we recover the conformally invariant solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing $g$ signals the departure from conformal invariance. All solutions are perturbatively stable for negative black hole mass and they may develop instabilities for positive mass. Thermodynamically, there is a critical temperature at vanishing black hole mass, where a higher-order phase transition occurs, as in the case of the MTZ black hole. Additionally, we obtain a branch of hairy solutions which undergo a first-order phase transition at a second critical temperature which depends on $g$ and it is higher than the MTZ critical temperature. As $g\to 0$, this second critical temperature diverges. |
1507.07476 | Alberto Lerda | S. K. Ashok, M. Bill\'o, E. Dell'Aquila, M. Frau, A. Lerda, M. Raman | Modular anomaly equations and S-duality in N=2 conformal SQCD | 30 pages, 2 figures, references added, typos fixed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use localization techniques to study the non-perturbative properties of an
N=2 superconformal gauge theory with gauge group SU(3) and six fundamental
flavours. The instanton corrections to the prepotential, the dual periods and
the period matrix are calculated in a locus of special vacua possessing a Z_3
symmetry. In a semi-classical expansion, we show that these observables are
constrained by S-duality via a modular anomaly equation which takes the form of
a recursion relation. The solutions of the recursion relation are quasi-modular
functions of Gamma_1(3), which is a subgroup of the S-duality group and is also
a congruence subgroup of SL(2,Z).
| [
{
"created": "Mon, 27 Jul 2015 16:35:35 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 14:03:43 GMT",
"version": "v2"
}
] | 2015-09-02 | [
[
"Ashok",
"S. K.",
""
],
[
"Billó",
"M.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Frau",
"M.",
""
],
[
"Lerda",
"A.",
""
],
[
"Raman",
"M.",
""
]
] | We use localization techniques to study the non-perturbative properties of an N=2 superconformal gauge theory with gauge group SU(3) and six fundamental flavours. The instanton corrections to the prepotential, the dual periods and the period matrix are calculated in a locus of special vacua possessing a Z_3 symmetry. In a semi-classical expansion, we show that these observables are constrained by S-duality via a modular anomaly equation which takes the form of a recursion relation. The solutions of the recursion relation are quasi-modular functions of Gamma_1(3), which is a subgroup of the S-duality group and is also a congruence subgroup of SL(2,Z). |
1312.0709 | Ying-li Zhang | Ying-li Zhang, Ryo Saito, Dong-han Yeom and Misao Sasaki | Coleman-de Luccia instanton in dRGT massive gravity | v2, references and one comment added, 19 pages, 5 figures | JCAP 02(2014)022 | 10.1088/1475-7516/2014/02/022 | YITP-13-120 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Coleman-de Luccia (CDL) instanton characterizing the tunneling
from a false vacuum to the true vacuum in a semi-classical way in dRGT
(deRham-Gabadadze-Tolley) massive gravity theory, and evaluate the dependence
of the tunneling rate on the model parameters. It is found that provided with
the same physical Hubble parameters for the true vacuum $H_{\rm T}$ and the
false vacuum $H_{\rm F}$ as in General Relativity (GR), the thin-wall
approximation method implies the same tunneling rate as GR. However, deviations
of tunneling rate from GR arise when one goes beyond the thin-wall
approximation and they change monotonically until the Hawking-Moss (HM) case.
Moreover, under the thin-wall approximation, the HM process may dominate over
the CDL one if the value for the graviton mass is larger than the inverse of
the radius of the bubble.
| [
{
"created": "Tue, 3 Dec 2013 06:36:40 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 06:31:24 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Zhang",
"Ying-li",
""
],
[
"Saito",
"Ryo",
""
],
[
"Yeom",
"Dong-han",
""
],
[
"Sasaki",
"Misao",
""
]
] | We study the Coleman-de Luccia (CDL) instanton characterizing the tunneling from a false vacuum to the true vacuum in a semi-classical way in dRGT (deRham-Gabadadze-Tolley) massive gravity theory, and evaluate the dependence of the tunneling rate on the model parameters. It is found that provided with the same physical Hubble parameters for the true vacuum $H_{\rm T}$ and the false vacuum $H_{\rm F}$ as in General Relativity (GR), the thin-wall approximation method implies the same tunneling rate as GR. However, deviations of tunneling rate from GR arise when one goes beyond the thin-wall approximation and they change monotonically until the Hawking-Moss (HM) case. Moreover, under the thin-wall approximation, the HM process may dominate over the CDL one if the value for the graviton mass is larger than the inverse of the radius of the bubble. |
1005.2426 | Alejandro Bohe | P. Binetruy, A. Bohe, T. Hertog, D.A. Steer | Proliferation of sharp kinks on cosmic (super-)string loops with
junctions | 27 pages, 14 figures | Phys.Rev.D82:083524,2010 | 10.1103/PhysRevD.82.083524 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by their effect on the gravitational wave signal emitted by cosmic
strings, we study the dynamics of kinks on strings of different tensions
meeting at junctions. The propagation of a kink through a Y-junction leads to
the formation of three `daughter' kinks. Assuming a uniform distribution of the
incoming wave vectors at the junction, we find there is a significant region of
configuration space in which the sharpness of at least one of the daughter
kinks is enhanced relative to the sharpness of the initial kink. For closed
loops with junctions we show this leads to an exponential growth in time of
very sharp kinks. Using numerical simulations of realistic, evolving cosmic
string loops with junctions to calculate the distribution of kink amplitudes as
a function of time, we show that loops of this kind typically develop several
orders of magnitude of very sharp kinks before the two junctions collide. This
collision, or other effects such as gravitational backreaction, may end the
proliferation.
| [
{
"created": "Thu, 13 May 2010 21:22:23 GMT",
"version": "v1"
}
] | 2015-03-17 | [
[
"Binetruy",
"P.",
""
],
[
"Bohe",
"A.",
""
],
[
"Hertog",
"T.",
""
],
[
"Steer",
"D. A.",
""
]
] | Motivated by their effect on the gravitational wave signal emitted by cosmic strings, we study the dynamics of kinks on strings of different tensions meeting at junctions. The propagation of a kink through a Y-junction leads to the formation of three `daughter' kinks. Assuming a uniform distribution of the incoming wave vectors at the junction, we find there is a significant region of configuration space in which the sharpness of at least one of the daughter kinks is enhanced relative to the sharpness of the initial kink. For closed loops with junctions we show this leads to an exponential growth in time of very sharp kinks. Using numerical simulations of realistic, evolving cosmic string loops with junctions to calculate the distribution of kink amplitudes as a function of time, we show that loops of this kind typically develop several orders of magnitude of very sharp kinks before the two junctions collide. This collision, or other effects such as gravitational backreaction, may end the proliferation. |
0801.2157 | Nathaniel Craig | Nathaniel J. Craig | ISS-flation | 26 pages | JHEP0802:059,2008 | 10.1088/1126-6708/2008/02/059 | null | hep-th astro-ph hep-ph | null | Inflation may occur while rolling into the metastable supersymmetry-breaking
vacuum of massive supersymmetric QCD. We explore the range of parameters in
which slow-roll inflation and long-lived metastable supersymmetry breaking may
be simultaneously realized. The end of slow-roll inflation in this context
coincides with the spontaneous breaking of a global symmetry, which may give
rise to significant curvature perturbations via inhomogenous preheating. Such
spontaneous symmetry breaking at the end of inflation may give rise to
observable non-gaussianities, distinguishing this scenario from more
conventional models of supersymmetric hybrid inflation.
| [
{
"created": "Mon, 14 Jan 2008 21:03:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Craig",
"Nathaniel J.",
""
]
] | Inflation may occur while rolling into the metastable supersymmetry-breaking vacuum of massive supersymmetric QCD. We explore the range of parameters in which slow-roll inflation and long-lived metastable supersymmetry breaking may be simultaneously realized. The end of slow-roll inflation in this context coincides with the spontaneous breaking of a global symmetry, which may give rise to significant curvature perturbations via inhomogenous preheating. Such spontaneous symmetry breaking at the end of inflation may give rise to observable non-gaussianities, distinguishing this scenario from more conventional models of supersymmetric hybrid inflation. |
0805.1057 | Taizan Watari | Hirotaka Hayashi, Radu Tatar, Yukinobu Toda, Taizan Watari and
Masahito Yamazaki | New Aspects of Heterotic--F Theory Duality | 100 pages; v2. corrections in section 6.2; v4. an open problem on
ramification points solved, and typos corrected (not in Nucl.Phys.) | Nucl.Phys.B806:224-299,2009 | 10.1016/j.nuclphysb.2008.07.031 | UT-8-13, LTH 791, IPMU 08-0024 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to understand both up-type and down-type Yukawa couplings, F-theory
is a better framework than the perturbative Type IIB string theory. The duality
between the Heterotic and F-theory is a powerful tool in gaining more insights
into F-theory description of low-energy chiral multiplets. Because chiral
multiplets from bundles /\^2 V and /\^2 V^x as well as those from a bundle V
are all involved in Yukawa couplings in Heterotic compactification, we need to
translate descriptions of all those kinds of matter multiplets into F-theory
language through the duality. We find that chiral matter multiplets in F-theory
are global holomorphic sections of line bundles on what we call covering matter
curves. The covering matter curves are formulated in Heterotic theory in
association with normalization of spectral surface, while they are where
M2-branes wrapped on a vanishing two-cycle propagate in F-theory. Chirality
formulae are given purely in terms of (possibly primitive) four-form flux. In
order to complete the translation, the dictionary of the Heterotic--F theory
duality has to be refined in some aspects. A precise map of spectral surface
and complex structure moduli is obtained, and with the map, we find that
divisors specifying the line bundles correspond precisely to codimension-3
singularities in F-theory.
| [
{
"created": "Thu, 8 May 2008 19:55:44 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 2008 13:51:57 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jun 2008 11:17:57 GMT",
"version": "v3"
},
{
"created": "Wed, 14 Oct 2009 14:03:23 GMT",
"version": "v4"
}
] | 2009-10-14 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Tatar",
"Radu",
""
],
[
"Toda",
"Yukinobu",
""
],
[
"Watari",
"Taizan",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | In order to understand both up-type and down-type Yukawa couplings, F-theory is a better framework than the perturbative Type IIB string theory. The duality between the Heterotic and F-theory is a powerful tool in gaining more insights into F-theory description of low-energy chiral multiplets. Because chiral multiplets from bundles /\^2 V and /\^2 V^x as well as those from a bundle V are all involved in Yukawa couplings in Heterotic compactification, we need to translate descriptions of all those kinds of matter multiplets into F-theory language through the duality. We find that chiral matter multiplets in F-theory are global holomorphic sections of line bundles on what we call covering matter curves. The covering matter curves are formulated in Heterotic theory in association with normalization of spectral surface, while they are where M2-branes wrapped on a vanishing two-cycle propagate in F-theory. Chirality formulae are given purely in terms of (possibly primitive) four-form flux. In order to complete the translation, the dictionary of the Heterotic--F theory duality has to be refined in some aspects. A precise map of spectral surface and complex structure moduli is obtained, and with the map, we find that divisors specifying the line bundles correspond precisely to codimension-3 singularities in F-theory. |
1004.2071 | Vladimir Miransky | V. A. Miransky | Conformal phase transition in QCD like theories and beyond | 10 pages, 1 figure, Talk at Workshop on Strong Coupling Gauge
Theories in the LHC Era, December 8-11, 2009, Nagoya, Japan | Int.J.Mod.Phys.A25:5105-5113,2010 | 10.1142/S0217751X10050895 | UWO-TH-09/20 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics with an infrared stable fixed point in the conformal window in
QCD like theories with a relatively large number of fermion flavors is
reviewed. The emphasis is on the description of a clear signature for the
conformal window, which in particular can be useful for lattice computer
simulations of these gauge theories.
| [
{
"created": "Mon, 12 Apr 2010 22:07:08 GMT",
"version": "v1"
}
] | 2010-11-15 | [
[
"Miransky",
"V. A.",
""
]
] | The dynamics with an infrared stable fixed point in the conformal window in QCD like theories with a relatively large number of fermion flavors is reviewed. The emphasis is on the description of a clear signature for the conformal window, which in particular can be useful for lattice computer simulations of these gauge theories. |
2110.10352 | Cliff Burgess | C.P. Burgess and F. Quevedo | Axion Homeopathy: Screening Dilaton Interactions | Version that will appear in the journal; typos corrected (updated
formulae for PPN parameters); some new references. 20 pages, 2 figures | null | 10.1088/1475-7516/2022/04/007 | CERN-TH-2021-176 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Cosmologically active Brans-Dicke (or dilaton) scalar fields are generically
ruled out by solar system tests of gravity unless their couplings to ordinary
matter are much suppressed relative to gravitational strength, and this is a
major hindrance when building realistic models of light dilatons coupled to
matter. We propose a new mechanism for evading such bounds if matter also
couples to a light axion, that exploits nonlinear target-space curvature
interactions to qualitatively change how the fields respond to a gravitating
source. We find that dilaton-matter couplings that would be excluded in the
absence of an axion can become acceptable given an additional small
axion-matter coupling, and this is possible because the axion-dilaton
interactions end up converting the would-be dilaton profile into an axion
profile. The trajectories of matter test bodies are then controlled by the much
weaker axion-matter couplings and can easily be small enough to escape
detection. We call this mechanism Axion Homeopathy because the evasion of the
dilaton-coupling bounds persists for extremely small axion couplings provided
only that they are nonzero. We explore the mechanism using axio-dilaton
equations that are SL(2,R) invariant (as often appear in string
compactifications), since for these the general solutions exterior to a
spherically symmetric source can be found analytically. We use this solution to
compute the relevant PPN parameters, $\beta$ and $\gamma$, and verify that
their difference from unity can be much smaller than would have been true in
the absence of axion-matter couplings and so can therefore evade the
experimental bounds.
| [
{
"created": "Wed, 20 Oct 2021 03:05:21 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2022 12:44:16 GMT",
"version": "v2"
}
] | 2022-04-13 | [
[
"Burgess",
"C. P.",
""
],
[
"Quevedo",
"F.",
""
]
] | Cosmologically active Brans-Dicke (or dilaton) scalar fields are generically ruled out by solar system tests of gravity unless their couplings to ordinary matter are much suppressed relative to gravitational strength, and this is a major hindrance when building realistic models of light dilatons coupled to matter. We propose a new mechanism for evading such bounds if matter also couples to a light axion, that exploits nonlinear target-space curvature interactions to qualitatively change how the fields respond to a gravitating source. We find that dilaton-matter couplings that would be excluded in the absence of an axion can become acceptable given an additional small axion-matter coupling, and this is possible because the axion-dilaton interactions end up converting the would-be dilaton profile into an axion profile. The trajectories of matter test bodies are then controlled by the much weaker axion-matter couplings and can easily be small enough to escape detection. We call this mechanism Axion Homeopathy because the evasion of the dilaton-coupling bounds persists for extremely small axion couplings provided only that they are nonzero. We explore the mechanism using axio-dilaton equations that are SL(2,R) invariant (as often appear in string compactifications), since for these the general solutions exterior to a spherically symmetric source can be found analytically. We use this solution to compute the relevant PPN parameters, $\beta$ and $\gamma$, and verify that their difference from unity can be much smaller than would have been true in the absence of axion-matter couplings and so can therefore evade the experimental bounds. |
1311.5712 | Francisco Lobo | Francisco S. N. Lobo, Jesus Martinez-Asencio, Gonzalo J. Olmo, D.
Rubiera-Garcia | Planck scale physics and topology change through an exactly solvable
model | 5 pages, 1 figure | Phys.Lett.B731:163-167,2014 | 10.1016/j.physletb.2014.02.038 | IFIC/14-06 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the collapse of a charged radiation fluid in a Planck-suppressed
quadratic extension of General Relativity (GR) formulated \`{a} la Palatini. We
obtain exact analytical solutions that extend the charged Vaidya-type solution
of GR, which allows to explore in detail new physics at the Planck scale.
Starting from Minkowski space, we find that the collapsing fluid generates
wormholes supported by the electric field. We discuss the relevance of our
findings in relation to the quantum foam structure of space-time and the
meaning of curvature divergences in this theory.
| [
{
"created": "Fri, 22 Nov 2013 11:00:27 GMT",
"version": "v1"
}
] | 2014-03-06 | [
[
"Lobo",
"Francisco S. N.",
""
],
[
"Martinez-Asencio",
"Jesus",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] | We consider the collapse of a charged radiation fluid in a Planck-suppressed quadratic extension of General Relativity (GR) formulated \`{a} la Palatini. We obtain exact analytical solutions that extend the charged Vaidya-type solution of GR, which allows to explore in detail new physics at the Planck scale. Starting from Minkowski space, we find that the collapsing fluid generates wormholes supported by the electric field. We discuss the relevance of our findings in relation to the quantum foam structure of space-time and the meaning of curvature divergences in this theory. |
hep-th/0610308 | Semyon Konstein | S.E.Konstein and I.V.Tyutin | General form of the deformation of the Poisson superbracket on
(2,n)-dimensional superspace | 22 pages, LaTex | Theor.Math.Phys.155:734-753,2008 | 10.1007/s11232-008-0063-2 | null | hep-th | null | Continuous formal deformations of the Poisson superbracket defined on
compactly supported smooth functions on R^2 taking values in a Grassmann
algebra with N generating elements are described up to an equivalence
transformation for N \ne 2.
| [
{
"created": "Sun, 29 Oct 2006 17:30:06 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Konstein",
"S. E.",
""
],
[
"Tyutin",
"I. V.",
""
]
] | Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth functions on R^2 taking values in a Grassmann algebra with N generating elements are described up to an equivalence transformation for N \ne 2. |
hep-th/0301140 | Sami Mohammad | M. Sami, Pravabati Chingangbam and Tabish Qureshi | Cosmological Aspects of Rolling Tachyon | RevTeX 4 pages, Talk delivered in PASCOS held at TIFR (Mumbai) from
3rd Jan to 9th Jan. To appear in the proceedings of PASCOS to be published in
a special issue of Pramana | Pramana62:765,2004 | 10.1007/BF02705366 | null | hep-th astro-ph gr-qc | null | We examine the possibility of rolling tachyon to play the dual roll of
inflaton at early epochs and dark matter at late times. We argue that enough
inflation can be generated with the rolling tachyon either by invoking the
large number of branes or brane world assisted inflation. However, reheating is
problematic in this model.
| [
{
"created": "Mon, 20 Jan 2003 06:47:20 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jan 2003 16:19:15 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Sami",
"M.",
""
],
[
"Chingangbam",
"Pravabati",
""
],
[
"Qureshi",
"Tabish",
""
]
] | We examine the possibility of rolling tachyon to play the dual roll of inflaton at early epochs and dark matter at late times. We argue that enough inflation can be generated with the rolling tachyon either by invoking the large number of branes or brane world assisted inflation. However, reheating is problematic in this model. |
hep-th/0106280 | Rabin Banerjee | Rabin Banerjee | A Novel Approach to Noncommutativity in Planar Quantum Mechanics | LaTex, 15 pages; Title and interpretation modified. To appear in Mod.
Phys. Lett. A | Mod.Phys.Lett. A17 (2002) 631 | 10.1142/S0217732302006977 | null | hep-th cond-mat | null | Noncommutative algebra in planar quantum mechanics is shown to follow from 't
Hooft's recent analysis on dissipation and quantization. The noncommutativity
in the coordinates or in the momenta of a charged particle in a magnetic field
with an oscillator potential are shown as dual descriptions of the same
phenomenon. Finally, noncommutativity in a fluid dynamical model, analogous to
the lowest Landau level problem, is discussed.
| [
{
"created": "Fri, 29 Jun 2001 09:05:14 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2002 07:15:23 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Banerjee",
"Rabin",
""
]
] | Noncommutative algebra in planar quantum mechanics is shown to follow from 't Hooft's recent analysis on dissipation and quantization. The noncommutativity in the coordinates or in the momenta of a charged particle in a magnetic field with an oscillator potential are shown as dual descriptions of the same phenomenon. Finally, noncommutativity in a fluid dynamical model, analogous to the lowest Landau level problem, is discussed. |
hep-th/9507026 | null | O.M. Khudaverdian and A. Nersessian | Batalin-Vilkovisky Formalism and Integration Theory on Manifolds | 15 pages, plain TeX, no figures small corrections made in the
formulae and two refs. added | J.Math.Phys. 37 (1996) 3713-3724 | 10.1063/1.531597 | UGVA-DPT-1995-07-896 | hep-th | null | The correspondence between the BV-formalism and integration theory on
supermanifolds is established. An explicit formula for the density on a
Lagrangian surface in a superspace provided with an odd symplectic structure
and a volume form is proposed.
| [
{
"created": "Wed, 5 Jul 1995 13:22:44 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 1995 09:36:29 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Khudaverdian",
"O. M.",
""
],
[
"Nersessian",
"A.",
""
]
] | The correspondence between the BV-formalism and integration theory on supermanifolds is established. An explicit formula for the density on a Lagrangian surface in a superspace provided with an odd symplectic structure and a volume form is proposed. |
hep-th/0004143 | Winder Alexander de Moura-Melo | Winder A. Moura-Melo and J.A. Helay\"el-Neto | Remarks on Dirac-like Monopole, Maxwell and Maxwell-Chern-Simons
Electrodynamics in D=(2+1) | 17 pages, 2 figures. To appear in Phys. Rev. D | Phys.Rev. D63 (2001) 065013 | 10.1103/PhysRevD.63.065013 | CBPF-NF-027/00 | hep-th | null | Classical Maxwell and Maxwell-Chern-Simons (MCS) Electrodynamics in (2+1)D
are studied in some details. General expressions for the potential and fields
are obtained for both models, and some particular cases are explicitly solved.
Conceptual and technical difficulties arise, however, for accelerated charges.
The propagation of electromagnetic signals is also studied and their
reverberation is worked out and discussed. Furthermore, we show that a
Dirac-like monopole yields a (static) tangential electric field. We also
discuss some classical and quantum consequences of the field created by such a
monopole when acting upon an usual electric charge. In particular, we show that
at large distances, the dynamics of one single charged particle under the
action of such a potential and a constant (external) magnetic field as well,
reduces to that of one central harmonic oscillator, presenting, however, an
interesting angular sector which admits energy-eigenvalues. Among other
peculiarities, both sectors, the radial and the angular one, present
non-vanishing energy-eigenvalues for their lowest level. Moreover, those
associated to the angle are shown to respond to discrete shifts of such a
variable. We also raise the question whether the formation of bound states is
possible in the system.
| [
{
"created": "Wed, 19 Apr 2000 22:54:59 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2000 17:46:55 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Dec 2000 22:03:29 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Moura-Melo",
"Winder A.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | Classical Maxwell and Maxwell-Chern-Simons (MCS) Electrodynamics in (2+1)D are studied in some details. General expressions for the potential and fields are obtained for both models, and some particular cases are explicitly solved. Conceptual and technical difficulties arise, however, for accelerated charges. The propagation of electromagnetic signals is also studied and their reverberation is worked out and discussed. Furthermore, we show that a Dirac-like monopole yields a (static) tangential electric field. We also discuss some classical and quantum consequences of the field created by such a monopole when acting upon an usual electric charge. In particular, we show that at large distances, the dynamics of one single charged particle under the action of such a potential and a constant (external) magnetic field as well, reduces to that of one central harmonic oscillator, presenting, however, an interesting angular sector which admits energy-eigenvalues. Among other peculiarities, both sectors, the radial and the angular one, present non-vanishing energy-eigenvalues for their lowest level. Moreover, those associated to the angle are shown to respond to discrete shifts of such a variable. We also raise the question whether the formation of bound states is possible in the system. |
1609.02912 | Yogesh Dandekar | Yogesh Dandekar, Subhajit Mazumdar, Shiraz Minwalla and Arunabha Saha | Unstable `black branes' from scaled membranes at large $D$ | 10 pages, references added | null | 10.1007/JHEP12(2016)140 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been demonstrated that the dynamics of black holes at large
$D$ can be recast as a set of non gravitational membrane equations. These
membrane equations admit a simple static solution with shape $S^{D-p-2} \times
R^{p,1}$. In this note we study the equations for small fluctuations about this
solution in a limit in which amplitude and length scale of the fluctuations are
simultaneously scaled to zero as $D$ is taken to infinity. We demonstrate that
the resultant nonlinear equations, which capture the Gregory- Laflamme
instability and its end point, exactly agree with the effective dynamical
`black brane' equations of Emparan Suzuki and Tanabe. Our results thus identify
the `black brane' equations as a special limit of the membrane equations and so
unify these approaches to large $D$ black hole dynamics.
| [
{
"created": "Fri, 9 Sep 2016 19:59:31 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Nov 2016 18:06:43 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Dandekar",
"Yogesh",
""
],
[
"Mazumdar",
"Subhajit",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Saha",
"Arunabha",
""
]
] | It has recently been demonstrated that the dynamics of black holes at large $D$ can be recast as a set of non gravitational membrane equations. These membrane equations admit a simple static solution with shape $S^{D-p-2} \times R^{p,1}$. In this note we study the equations for small fluctuations about this solution in a limit in which amplitude and length scale of the fluctuations are simultaneously scaled to zero as $D$ is taken to infinity. We demonstrate that the resultant nonlinear equations, which capture the Gregory- Laflamme instability and its end point, exactly agree with the effective dynamical `black brane' equations of Emparan Suzuki and Tanabe. Our results thus identify the `black brane' equations as a special limit of the membrane equations and so unify these approaches to large $D$ black hole dynamics. |
0812.4432 | Jonathan Shock | Javier Mas, Jonathan P. Shock, Javier Tarrio | On the Einstein Relation in holographic systems at finite baryon density | 3 pages, 2 figures, to appear in the Cargese 2008 proceedings: Theory
and Particle Physics: the LHC perspective and beyond | Nucl.Phys.B, Proc.Suppl.192-193 2009:184-186,2009 | 10.1016/j.nuclphysbps.2009.07.075 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the conductivity, susceptibility and diffusion of a strongly coupled
quark gluon plasma from the holographic perspective. We calculate general
expressions for these quantities in the presence of finite baryon density and
show that in this context, for the D3/D7 intersection the Einstein relation
holds, providing another non-trivial check of the holographic correspondence at
finite temperature.
| [
{
"created": "Tue, 23 Dec 2008 17:45:35 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Mas",
"Javier",
""
],
[
"Shock",
"Jonathan P.",
""
],
[
"Tarrio",
"Javier",
""
]
] | We study the conductivity, susceptibility and diffusion of a strongly coupled quark gluon plasma from the holographic perspective. We calculate general expressions for these quantities in the presence of finite baryon density and show that in this context, for the D3/D7 intersection the Einstein relation holds, providing another non-trivial check of the holographic correspondence at finite temperature. |
0804.0164 | Nicola Maggiore | Alberto Blasi, Dario Ferraro, Nicola Maggiore, Nicodemo Magnoli, Maura
Sassetti | Symanzik's Method Applied To The Fractional Quantum Hall Edge States | 13 pages | Annalen Phys.17:885-896,1997 | 10.1002/andp.200810323 | GEF-TH-01/2008 | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider an abelian Chern-Simons theory with plane boundary
and we show, following Symankiz's quite general approach, how the known results
for edge states in the Laughlin series can be derived in a systematic way by
the separability condition. Moreover we show that the conserved boundary
currents find a natural and explicit interpretation in terms of the continuity
equation and the Tomonaga-Luttinger commutation relation for electronic density
is recovered.
| [
{
"created": "Tue, 1 Apr 2008 13:18:24 GMT",
"version": "v1"
}
] | 2008-12-19 | [
[
"Blasi",
"Alberto",
""
],
[
"Ferraro",
"Dario",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Magnoli",
"Nicodemo",
""
],
[
"Sassetti",
"Maura",
""
]
] | In this paper we consider an abelian Chern-Simons theory with plane boundary and we show, following Symankiz's quite general approach, how the known results for edge states in the Laughlin series can be derived in a systematic way by the separability condition. Moreover we show that the conserved boundary currents find a natural and explicit interpretation in terms of the continuity equation and the Tomonaga-Luttinger commutation relation for electronic density is recovered. |
hep-th/0404246 | Natalia Saulina | Natalia Saulina and Cumrun Vafa | D-branes as Defects in the Calabi-Yau Crystal | 27 pages, 15 figures, latex | null | null | HUTP-04/A018 | hep-th | null | We define the notion of A-model Lagrangian D-branes as introducing defects in
the Calabi-Yau crystal. The crystal melting in the presence of these defects
reproduces all genus string amplitudes as well as leads to additional
non-perturbative terms.
| [
{
"created": "Thu, 29 Apr 2004 22:02:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saulina",
"Natalia",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We define the notion of A-model Lagrangian D-branes as introducing defects in the Calabi-Yau crystal. The crystal melting in the presence of these defects reproduces all genus string amplitudes as well as leads to additional non-perturbative terms. |
1211.6391 | Klaus Bering | Igor A. Batalin and Klaus Bering | Reparametrization-Invariant Effective Action in Field-Antifield
Formalism | 14 pages, LaTeX. v2: Further observations, Added one appendix. v3:
Version submitted to IJMPA. v4: Version published in IJMPA | null | 10.1142/S0217751X13500279 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce classical and quantum antifields in the
reparametrization-invariant effective action, and derive a deformed classical
master equation.
| [
{
"created": "Tue, 27 Nov 2012 19:07:41 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2013 20:23:53 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Feb 2013 16:15:23 GMT",
"version": "v3"
},
{
"created": "Sat, 6 Apr 2013 18:35:33 GMT",
"version": "v4"
}
] | 2013-04-09 | [
[
"Batalin",
"Igor A.",
""
],
[
"Bering",
"Klaus",
""
]
] | We introduce classical and quantum antifields in the reparametrization-invariant effective action, and derive a deformed classical master equation. |
hep-th/9309140 | Cumrun Vafa | M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa | Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String
Amplitudes | 178 pages, 20 figures | Commun.Math.Phys.165:311-428,1994 | 10.1007/BF02099774 | null | hep-th | null | We develop techniques to compute higher loop string amplitudes for twisted
$N=2$ theories with $\hat c=3$ (i.e. the critical case). An important
ingredient is the discovery of an anomaly at every genus in decoupling of BRST
trivial states, captured to all orders by a master anomaly equation. In a
particular realization of the $N=2$ theories, the resulting string field theory
is equivalent to a topological theory in six dimensions, the Kodaira--Spencer
theory, which may be viewed as the closed string analog of the Chern--Simon
theory. Using the mirror map this leads to computation of the `number' of
holomorphic curves of higher genus curves in Calabi--Yau manifolds. It is shown
that topological amplitudes can also be reinterpreted as computing corrections
to superpotential terms appearing in the effective 4d theory resulting from
compactification of standard 10d superstrings on the corresponding $N=2$
theory. Relations with $c=1$ strings are also pointed out.
| [
{
"created": "Mon, 27 Sep 1993 14:43:23 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Bershadsky",
"M.",
""
],
[
"Cecotti",
"S.",
""
],
[
"Ooguri",
"H.",
""
],
[
"Vafa",
"C.",
""
]
] | We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the $N=2$ theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira--Spencer theory, which may be viewed as the closed string analog of the Chern--Simon theory. Using the mirror map this leads to computation of the `number' of holomorphic curves of higher genus curves in Calabi--Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding $N=2$ theory. Relations with $c=1$ strings are also pointed out. |
1912.07505 | Vladimir Prochazka | Vladim\'ir Proch\'azka, Alexander S\"oderberg | Composite operators near the boundary | 38 pages, 6 figures | null | 10.1007/JHEP03(2020)114 | UUITP-51/19 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use renormalization group methods to study composite operators existing at
a boundary of an interacting conformal field theory. In particular we relate
the data on boundary operators to short-distance (near-boundary) divergences of
bulk two-point functions. We further argue that in the presence of running
couplings at the boundary the anomalous dimensions of certain composite
operators can be computed from the relevant beta functions and remark on the
implications for the boundary (pseudo) stress-energy tensor. We apply the
formalism to a scalar field theory in $d=3-\epsilon$ dimensions with a quartic
coupling at the boundary whose beta function we determine to the first
non-trivial order. We study the operators in this theory and compute their
conformal data using $\epsilon-$expansion at the Wilson-Fisher fixed point of
the boundary renormalization group flow. We find that the model possesses a
non-zero boundary stress-energy tensor and displacement operator both with
vanishing anomalous dimensions. The boundary stress tensor decouples at the
fixed point in accordance with Cardy's condition for conformal invariance. We
end the main part of the paper by discussing the possible physical significance
of this fixed point for various values of $\epsilon$.
| [
{
"created": "Mon, 16 Dec 2019 17:10:49 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Procházka",
"Vladimír",
""
],
[
"Söderberg",
"Alexander",
""
]
] | We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk two-point functions. We further argue that in the presence of running couplings at the boundary the anomalous dimensions of certain composite operators can be computed from the relevant beta functions and remark on the implications for the boundary (pseudo) stress-energy tensor. We apply the formalism to a scalar field theory in $d=3-\epsilon$ dimensions with a quartic coupling at the boundary whose beta function we determine to the first non-trivial order. We study the operators in this theory and compute their conformal data using $\epsilon-$expansion at the Wilson-Fisher fixed point of the boundary renormalization group flow. We find that the model possesses a non-zero boundary stress-energy tensor and displacement operator both with vanishing anomalous dimensions. The boundary stress tensor decouples at the fixed point in accordance with Cardy's condition for conformal invariance. We end the main part of the paper by discussing the possible physical significance of this fixed point for various values of $\epsilon$. |
1001.5450 | Aleksandr N. Pinzul | A. Melikyan and A. Pinzul | Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model | 10 pages | null | 10.1088/1742-5468/2010/06/P06007 | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present thermodynamics of the quantum su(1,1) Landau-Lifshitz model,
following our earlier exposition [J. Math. Phys. 50, 103518 (2009)] of the
quantum integrability of the theory, which is based on construction of
self-adjoint extensions, leading to a regularized quantum Hamiltonian for an
arbitrary n-particle sector. Starting from general discontinuity properties of
the functions used to construct the self-adjoint extensions, we derive the
thermodynamic Bethe Ansatz equations. We show that due to non-symmetric and
singular kernel, the self-consistency implies that only negative chemical
potential values are allowed, which leads to the conclusion that, unlike its
su(2) counterpart, the su(1,1) LL theory at T=0 has no instabilities.
| [
{
"created": "Fri, 29 Jan 2010 18:28:52 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Melikyan",
"A.",
""
],
[
"Pinzul",
"A.",
""
]
] | We present thermodynamics of the quantum su(1,1) Landau-Lifshitz model, following our earlier exposition [J. Math. Phys. 50, 103518 (2009)] of the quantum integrability of the theory, which is based on construction of self-adjoint extensions, leading to a regularized quantum Hamiltonian for an arbitrary n-particle sector. Starting from general discontinuity properties of the functions used to construct the self-adjoint extensions, we derive the thermodynamic Bethe Ansatz equations. We show that due to non-symmetric and singular kernel, the self-consistency implies that only negative chemical potential values are allowed, which leads to the conclusion that, unlike its su(2) counterpart, the su(1,1) LL theory at T=0 has no instabilities. |
2201.11575 | Lorenz Eberhardt | Nima Arkani-Hamed, Lorenz Eberhardt, Yu-tin Huang, Sebastian Mizera | On Unitarity of Tree-Level String Amplitudes | 37 pages | null | 10.1007/JHEP02(2022)197 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-particle tree-level scattering amplitudes in string theory are magically
consistent with unitarity, reflected in the non-trivial fact that beneath the
critical dimension, the residues of the amplitudes on massive poles can be
expanded in partial waves with all positive coefficients. While this follows
(rather indirectly) from the no-ghost theorem, the simplicity of the statement
and its fundamental importance for the physical consistency of string theory
begs for a more direct and elementary understanding. In this note we take a
step in this direction by presenting a new expression for the partial wave
coefficients of string amplitudes, given by surprisingly simple double/triple
contour integrals for open/closed strings. This representation allows us to
directly prove unitarity of all superstring theories in $D \leq 6$ spacetime
dimensions, and can also be used to determine various asymptotics of the
partial waves at large mass levels.
| [
{
"created": "Thu, 27 Jan 2022 15:29:17 GMT",
"version": "v1"
}
] | 2022-03-14 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Eberhardt",
"Lorenz",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Mizera",
"Sebastian",
""
]
] | Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded in partial waves with all positive coefficients. While this follows (rather indirectly) from the no-ghost theorem, the simplicity of the statement and its fundamental importance for the physical consistency of string theory begs for a more direct and elementary understanding. In this note we take a step in this direction by presenting a new expression for the partial wave coefficients of string amplitudes, given by surprisingly simple double/triple contour integrals for open/closed strings. This representation allows us to directly prove unitarity of all superstring theories in $D \leq 6$ spacetime dimensions, and can also be used to determine various asymptotics of the partial waves at large mass levels. |
1703.08848 | Christoph Adam | C. Adam, J. M. Speight, A. Wereszczynski | The volume of a vortex and the Bradlow bound | Latex, 31 pages, 1 figure | Phys. Rev. D 95, 116007 (2017) | 10.1103/PhysRevD.95.116007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that the geometric volume of a soliton coincides with the
thermodynamical volume also for field theories with higher-dimensional vacuum
manifolds (e.g., for gauged scalar field theories supporting vortices or
monopoles). We apply this observation to understand Bradlow type bounds for
general abelian gauge theories supporting vortices. In the case of SDiff BPS
models (being examples of perfect fluid models) we show that the geometric
"volume" (area) of the vortex, which is base-space independent, is exactly
equal to the Bradlow volume (a minimal volume for which a BPS soliton solution
exists). This can be finite for compactons or infinite for infinitely extended
solitons (in flat Minkowski space-time).
| [
{
"created": "Sun, 26 Mar 2017 17:00:19 GMT",
"version": "v1"
}
] | 2017-06-21 | [
[
"Adam",
"C.",
""
],
[
"Speight",
"J. M.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | We demonstrate that the geometric volume of a soliton coincides with the thermodynamical volume also for field theories with higher-dimensional vacuum manifolds (e.g., for gauged scalar field theories supporting vortices or monopoles). We apply this observation to understand Bradlow type bounds for general abelian gauge theories supporting vortices. In the case of SDiff BPS models (being examples of perfect fluid models) we show that the geometric "volume" (area) of the vortex, which is base-space independent, is exactly equal to the Bradlow volume (a minimal volume for which a BPS soliton solution exists). This can be finite for compactons or infinite for infinitely extended solitons (in flat Minkowski space-time). |
hep-th/0509207 | Orfeu Bertolami | O. Bertolami, J. G. Rosa, C. M. L. de Arag\~ao, P. Castorina, D.
Zappal\`a | Scaling of variables and the relation between noncommutative parameters
in Noncommutative Quantum Mechanics | Revtex4, 4 pages; version to match the published one | Mod.Phys.Lett. A21 (2006) 795-802 | 10.1142/S0217732306019840 | DF/IST-7.2005 | hep-th | null | We consider Noncommutative Quantum Mechanics with phase space
noncommutativity. In particular, we show that a scaling of variables leaves the
noncommutative algebra invariant, so that only the self-consistent effective
parameters of the model are physically relevant. We also discuss the recently
proposed relation of direct proportionality between the noncommutative
parameters, showing that it has a limited applicability.
| [
{
"created": "Wed, 28 Sep 2005 10:25:04 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2006 12:52:01 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bertolami",
"O.",
""
],
[
"Rosa",
"J. G.",
""
],
[
"de Aragão",
"C. M. L.",
""
],
[
"Castorina",
"P.",
""
],
[
"Zappalà",
"D.",
""
]
] | We consider Noncommutative Quantum Mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the model are physically relevant. We also discuss the recently proposed relation of direct proportionality between the noncommutative parameters, showing that it has a limited applicability. |
0904.0208 | Dmitri Bykov | Dmitri Bykov | Off-shell symmetry algebra of the AdS_4 x CP^3 superstring | 23 pages | Teor.Mat.Fiz. 163:114-131,2010; Theor. Math. Phys.
163:496-510,2010 | 10.1007/s11232-010-0038-y | TCDMATH 09-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By direct calculation in classical theory we derive the central extension of
the off-shell symmetry algebra for the string propagating in AdS_4 x CP^3. It
turns out to be the same as in the case of the AdS_5 x S^5 string. We also
elaborate on the kappa-symmetry gauge and explain, how it can be chosen in a
way which does not break bosonic symmetries.
| [
{
"created": "Wed, 1 Apr 2009 16:18:21 GMT",
"version": "v1"
}
] | 2010-11-22 | [
[
"Bykov",
"Dmitri",
""
]
] | By direct calculation in classical theory we derive the central extension of the off-shell symmetry algebra for the string propagating in AdS_4 x CP^3. It turns out to be the same as in the case of the AdS_5 x S^5 string. We also elaborate on the kappa-symmetry gauge and explain, how it can be chosen in a way which does not break bosonic symmetries. |
hep-th/9901004 | Sumit R. Das | Sumit R. Das | Brane Waves, Yang-Mills theories and Causality | 20 pages, harvmac, references added | JHEP 9902:012,1999 | 10.1088/1126-6708/1999/02/012 | TIFR-TH/98-50 | hep-th gr-qc | null | We provide evidence for the validity of AdS/CFT correspondence in the Coulomb
branch by comparing the Yang-Mills effective action with the potential between
waves on two separated test 3-branes in the presence of a large number of other
3-branes. For constant gauge fields excited on the branes, this requires that
the supergravity potential in a $AdS_5 \times S^5$ background is the {\it same}
as that in flat space, despite the fact that both propagators and couplings of
some relevant supergravity modes are different. We show that this is indeed
true, due to a subtle cancellation. With time-dependent gauge fields on the
test branes, the potential is sensitive to retardation effects of causal
propagation in the bulk. We argue that this is reflected in higher derivative
(acceleration) terms in the Yang-Mills effective action. We show that for two
3-branes separated in flat space the structure of lowest order acceleration
terms is in agreement with supergravity expectations.
| [
{
"created": "Sun, 3 Jan 1999 21:12:58 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jan 1999 11:31:53 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Das",
"Sumit R.",
""
]
] | We provide evidence for the validity of AdS/CFT correspondence in the Coulomb branch by comparing the Yang-Mills effective action with the potential between waves on two separated test 3-branes in the presence of a large number of other 3-branes. For constant gauge fields excited on the branes, this requires that the supergravity potential in a $AdS_5 \times S^5$ background is the {\it same} as that in flat space, despite the fact that both propagators and couplings of some relevant supergravity modes are different. We show that this is indeed true, due to a subtle cancellation. With time-dependent gauge fields on the test branes, the potential is sensitive to retardation effects of causal propagation in the bulk. We argue that this is reflected in higher derivative (acceleration) terms in the Yang-Mills effective action. We show that for two 3-branes separated in flat space the structure of lowest order acceleration terms is in agreement with supergravity expectations. |
hep-th/0502179 | Hidefumi Nomura | Hidefumi Nomura, Shijun Yoshida, Makoto Tanabe, Kei-ichi Maeda | The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation | 6 pages, 6 figures | Prog.Theor.Phys. 114 (2005) 707-712 | 10.1143/PTP.114.707 | WU-AP/215/05 | hep-th gr-qc | null | We study the evolution of a five-dimensional rotating black hole emitting
scalar field radiation via the Hawking process for arbitrary initial values of
the two rotation parameters $a$ and $b$. It is found that any such black hole
whose initial rotation parameters are both nonzero evolves toward an asymptotic
state
$a/M^{1/2}=b/M^{1/2}={\rm const}(\neq 0)$, where this constant is independent
of the initial values of $a$ and $b$.
| [
{
"created": "Mon, 21 Feb 2005 02:49:33 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2005 10:41:27 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Nomura",
"Hidefumi",
""
],
[
"Yoshida",
"Shijun",
""
],
[
"Tanabe",
"Makoto",
""
],
[
"Maeda",
"Kei-ichi",
""
]
] | We study the evolution of a five-dimensional rotating black hole emitting scalar field radiation via the Hawking process for arbitrary initial values of the two rotation parameters $a$ and $b$. It is found that any such black hole whose initial rotation parameters are both nonzero evolves toward an asymptotic state $a/M^{1/2}=b/M^{1/2}={\rm const}(\neq 0)$, where this constant is independent of the initial values of $a$ and $b$. |
2102.01829 | Chanyong Park | Chanyong Park | Holographic RG flow triggered by a classically marginal operator | 21 pages, 1 figure | null | 10.1103/PhysRevD.105.046004 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the holographic renormalization group (RG) flow triggered by a
classically marginal operator. When a marginal operator deforms a conformal
field theory, it does not yield a nontrivial renormalization group flow at the
classical level. At the quantum level, however, quantum corrections modify a
marginal operator into one of the truly marginal, marginally relevant, and
marginally irrelevant operators and can generate a nontrivial RG flow. We
investigate the holographic description of a RG flow triggered by a marginal
operator with quantum corrections. We look into how the physical quantities of
a deformed theory, a coupling constant and the vacuum expectation value, rely
on the RG scale. We further discuss the holographic description of the trace
anomaly caused by the gluon condensation.
| [
{
"created": "Wed, 3 Feb 2021 01:29:00 GMT",
"version": "v1"
}
] | 2022-02-16 | [
[
"Park",
"Chanyong",
""
]
] | We study the holographic renormalization group (RG) flow triggered by a classically marginal operator. When a marginal operator deforms a conformal field theory, it does not yield a nontrivial renormalization group flow at the classical level. At the quantum level, however, quantum corrections modify a marginal operator into one of the truly marginal, marginally relevant, and marginally irrelevant operators and can generate a nontrivial RG flow. We investigate the holographic description of a RG flow triggered by a marginal operator with quantum corrections. We look into how the physical quantities of a deformed theory, a coupling constant and the vacuum expectation value, rely on the RG scale. We further discuss the holographic description of the trace anomaly caused by the gluon condensation. |
2111.09226 | Sumer Jaitly | Lasma Alberte, Claudia de Rham, Sumer Jaitly, Andrew J. Tolley | Reverse Bootstrapping: IR lessons for UV physics | Published in PRL. 5 pages + supplementary material and 1 figure | Phys.Rev.Lett. 128 (2022) 5, 051602 | 10.1103/PhysRevLett.128.051602 | Imperial/TP/2021/LA/1 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | S-matrix bootstrap and positivity bounds are usually viewed as constraints on
low-energy theories imposed by the requirement of a standard UV completion. By
considering graviton--photon scattering in the Standard Model, we argue that
the low-energy theory can be used to put constraints on the UV behaviour of the
gravitational scattering amplitudes.
| [
{
"created": "Wed, 17 Nov 2021 16:39:10 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2022 13:16:35 GMT",
"version": "v2"
}
] | 2022-02-22 | [
[
"Alberte",
"Lasma",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Jaitly",
"Sumer",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | S-matrix bootstrap and positivity bounds are usually viewed as constraints on low-energy theories imposed by the requirement of a standard UV completion. By considering graviton--photon scattering in the Standard Model, we argue that the low-energy theory can be used to put constraints on the UV behaviour of the gravitational scattering amplitudes. |
1802.07308 | Christopher Pope | Arash Azizi and C.N. Pope | On Pauli Reductions of Supergravities in Six and Five Dimensions | 20 pages | Phys. Rev. D 98, 046010 (2018) | 10.1103/PhysRevD.98.046010 | MI-TH-1876 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dimensional reduction of a generic theory on a curved internal space such
as a sphere does not admit a consistent truncation to a finite set of fields
that includes the Yang-Mills gauge bosons of the isometry group. In rare cases,
for example the $S^7$ reduction of eleven-dimensional supergravity, such a
consistent "Pauli reduction" does exist. In this paper we study this existence
question in two examples of $S^2$ reductions of supergravities. We do this by
making use of a relation between certain $S^2$ reductions and group manifold
$S^3=SU(2)$ reductions of a theory in one dimension higher. By this means we
establish the non-existence of a consistent $S^2$ Pauli reduction of
five-dimensional minimal supergravity. We also show that a
previously-discovered consistent Pauli reduction of six-dimensional
Salam-Sezgin supergravity can be elegantly understood via a group-manifold
reduction from seven dimensions.
| [
{
"created": "Tue, 20 Feb 2018 20:15:44 GMT",
"version": "v1"
}
] | 2018-08-22 | [
[
"Azizi",
"Arash",
""
],
[
"Pope",
"C. N.",
""
]
] | The dimensional reduction of a generic theory on a curved internal space such as a sphere does not admit a consistent truncation to a finite set of fields that includes the Yang-Mills gauge bosons of the isometry group. In rare cases, for example the $S^7$ reduction of eleven-dimensional supergravity, such a consistent "Pauli reduction" does exist. In this paper we study this existence question in two examples of $S^2$ reductions of supergravities. We do this by making use of a relation between certain $S^2$ reductions and group manifold $S^3=SU(2)$ reductions of a theory in one dimension higher. By this means we establish the non-existence of a consistent $S^2$ Pauli reduction of five-dimensional minimal supergravity. We also show that a previously-discovered consistent Pauli reduction of six-dimensional Salam-Sezgin supergravity can be elegantly understood via a group-manifold reduction from seven dimensions. |
hep-th/0509037 | David Roberts | Varghese Mathai, David Roberts | RETRACTED: Yang-Mills theory for bundle gerbes | v4 This article contains an unfixable flaw in the definition of the
gauge group action in section 2.2. On the authors' request the journal
version has been retracted. v3 Latex2e, 7 pages, some typos corrected, to
appear in J. Phys. A: Math. and Gen | J.Phys.A39:6039-6044,2006 | 10.1088/0305-4470/39/20/027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a bundle gerbe with connection on an oriented Riemannian manifold of
dimension at least equal to 3, we formulate and study the associated Yang-Mills
equations. When the Riemannian manifold is compact and oriented, we prove the
existence of instanton solutions to the equations and also determine the moduli
space of instantons, thus giving a complete analysis in this case. We also
discuss duality in this context.
| [
{
"created": "Mon, 5 Sep 2005 06:21:28 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2005 16:10:01 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Mar 2006 09:53:19 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Jan 2024 04:45:45 GMT",
"version": "v4"
}
] | 2024-01-26 | [
[
"Mathai",
"Varghese",
""
],
[
"Roberts",
"David",
""
]
] | Given a bundle gerbe with connection on an oriented Riemannian manifold of dimension at least equal to 3, we formulate and study the associated Yang-Mills equations. When the Riemannian manifold is compact and oriented, we prove the existence of instanton solutions to the equations and also determine the moduli space of instantons, thus giving a complete analysis in this case. We also discuss duality in this context. |
hep-th/0605029 | Osvaldo Pablo Santillan | O.P. Santillan | Manifolds with reduced holonomy in superstring theories | PhD thesis, dedicated to the memory of Prof. Luis Masperi | null | null | null | hep-th | null | The main results presented in this dissertation are the following
- We have shown that in $d=4$ weak hyperkahler torsion structures are the
same that hypercomplex structures and the same that the Plebanski-Finley
conformally invariant heavens. With the help of this identification we have
found the most general local form of an hyperkahler torsion space in four
dimensions. We also presented an Ashtekar like formulation for them in which to
finding an hyperkahler torsion metric is reduced to solve a quadratic
differential system.
- It is found the most general form for the target space metric to the moduli
space metric of several $(n>1)$ identical matter hypermultiplets for the
type-IIA superstrings compactified on a Calabi-Yau threefold, near conifold
singularities, even taking into account non-perturbative D-instanton quantum
corrections. The metric in consideration is "toric hyperkahler" if we do not
take into account the gravitational corrections.
- It is constructed a family of toric hyperkahler spaces in eight dimensions.
This spaces are lifted to backgrounds of the eleven dimensional supergravity
preserving certain ammount of supersymmetry, with and without the presence of
fluxes. Several type IIA and IIB backgrounds have been found by reduction along
a circle and by use of T-duality rules.
- It is constructed a family of $Spin(7)$, $G_2$ and weak $G_2$ holonomy
metrics. The result has been lifted to a supergravity solution preserving one
supersymmetry. The presence of a toric symmetry allows a reduction to type IIA
backgrounds by usual reduction along one of the Killing vectors.
| [
{
"created": "Tue, 2 May 2006 23:23:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Santillan",
"O. P.",
""
]
] | The main results presented in this dissertation are the following - We have shown that in $d=4$ weak hyperkahler torsion structures are the same that hypercomplex structures and the same that the Plebanski-Finley conformally invariant heavens. With the help of this identification we have found the most general local form of an hyperkahler torsion space in four dimensions. We also presented an Ashtekar like formulation for them in which to finding an hyperkahler torsion metric is reduced to solve a quadratic differential system. - It is found the most general form for the target space metric to the moduli space metric of several $(n>1)$ identical matter hypermultiplets for the type-IIA superstrings compactified on a Calabi-Yau threefold, near conifold singularities, even taking into account non-perturbative D-instanton quantum corrections. The metric in consideration is "toric hyperkahler" if we do not take into account the gravitational corrections. - It is constructed a family of toric hyperkahler spaces in eight dimensions. This spaces are lifted to backgrounds of the eleven dimensional supergravity preserving certain ammount of supersymmetry, with and without the presence of fluxes. Several type IIA and IIB backgrounds have been found by reduction along a circle and by use of T-duality rules. - It is constructed a family of $Spin(7)$, $G_2$ and weak $G_2$ holonomy metrics. The result has been lifted to a supergravity solution preserving one supersymmetry. The presence of a toric symmetry allows a reduction to type IIA backgrounds by usual reduction along one of the Killing vectors. |
hep-th/0212345 | Miao Li | Miao Li | PP-wave Black holes and The Matrix Model | 12 pages, harvmac. v2: final version to be published in JHEP, refs.
added | JHEP 0305 (2003) 031 | 10.1088/1126-6708/2003/05/031 | null | hep-th | null | We discuss the sizes of a black hole in the M theory pp-wave background, and
how the transverse size can be reproduced in the matrix model.
| [
{
"created": "Tue, 31 Dec 2002 12:12:52 GMT",
"version": "v1"
},
{
"created": "Wed, 14 May 2003 08:16:40 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Li",
"Miao",
""
]
] | We discuss the sizes of a black hole in the M theory pp-wave background, and how the transverse size can be reproduced in the matrix model. |
hep-th/9908100 | Andre Lukas | Andre Lukas and Burt A. Ovrut | Symmetric Vacua in Heterotic M-Theory | 22 pages, Latex | null | 10.1142/S0217751X00002718 | OUTP-99-37P, UPR-854T | hep-th | null | Symmetric vacua of heterotic M-theory, characterized by vanishing cohomology
classes of individual sources in the three-form Bianchi identity, are analyzed
on smooth Calabi-Yau three-folds. We show that such vacua do not exist for
elliptically fibered Calabi-Yau spaces. However, explicit examples are found
for Calabi-Yau three-folds arising as intersections in both unweighted and
weighted projective space. We show that such symmetric vacua can be combined
with attractive phenomenological features such as three generations of quarks
and leptons. Properties of the low energy effective actions associated with
symmetric vacua are discussed. In particular, the gauge kinetic functions
receive no perturbative threshold corrections, there are no corrections to the
matter field Kahler metric and the associated five-dimensional effective theory
admits flat space as its vacuum.
| [
{
"created": "Sat, 14 Aug 1999 21:13:15 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | Symmetric vacua of heterotic M-theory, characterized by vanishing cohomology classes of individual sources in the three-form Bianchi identity, are analyzed on smooth Calabi-Yau three-folds. We show that such vacua do not exist for elliptically fibered Calabi-Yau spaces. However, explicit examples are found for Calabi-Yau three-folds arising as intersections in both unweighted and weighted projective space. We show that such symmetric vacua can be combined with attractive phenomenological features such as three generations of quarks and leptons. Properties of the low energy effective actions associated with symmetric vacua are discussed. In particular, the gauge kinetic functions receive no perturbative threshold corrections, there are no corrections to the matter field Kahler metric and the associated five-dimensional effective theory admits flat space as its vacuum. |
1103.3472 | Allan Adams | Allan Adams and Juven Wang | Towards a Non-Relativistic Holographic Superfluid | 13+5 pages, latex | New J. Phys. 13, 115008 (2011) | 10.1088/1367-2630/13/11/115008 | MIT-CTP-4230 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the phase structure of a holographic toy model of superfluid
states in non-relativistic conformal field theories. At low background mass
density, we find a familiar second-order transition to a superfluid phase at
finite temperature. Increasing the chemical potential for the probe charge
density drives this transition strongly first order as the low-temperature
superfluid phase merges with a thermodynamically disfavored high-temperature
condensed phase. At high background mass density, the system reenters the
normal phase as the temperature is lowered further, hinting at a
zero-temperature quantum phase transition as the background density is varied.
Given the unusual thermodynamics of the background black hole, however, it
seems likely that the true ground state is another configuration altogether.
| [
{
"created": "Thu, 17 Mar 2011 18:05:57 GMT",
"version": "v1"
}
] | 2015-03-19 | [
[
"Adams",
"Allan",
""
],
[
"Wang",
"Juven",
""
]
] | We explore the phase structure of a holographic toy model of superfluid states in non-relativistic conformal field theories. At low background mass density, we find a familiar second-order transition to a superfluid phase at finite temperature. Increasing the chemical potential for the probe charge density drives this transition strongly first order as the low-temperature superfluid phase merges with a thermodynamically disfavored high-temperature condensed phase. At high background mass density, the system reenters the normal phase as the temperature is lowered further, hinting at a zero-temperature quantum phase transition as the background density is varied. Given the unusual thermodynamics of the background black hole, however, it seems likely that the true ground state is another configuration altogether. |
1803.00489 | Riccardo Bergamin | Riccardo Bergamin | $tt^{*}$ Geometry of Modular Curves | 65 pages | null | 10.1007/JHEP08(2019)007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by Vafa's model, we study the $tt^{*}$ geometry of a degenerate
class of FQHE models with an abelian group of symmetry acting transitively on
the classical vacua. Despite it is not relevant for the phenomenology of the
FQHE, this class of theories has interesting mathematical properties. We find
that these models are parametrized by the family of modular curves $Y_{1}(N)=
\mathbb{H}/\Gamma_{1}(N)$, labelled by an integer $N\geq 2$. Each point of the
space of level $N$ is in correspondence with a one dimensional $\mathcal{N}=4$
Landau-Ginzburg theory, which is defined on an elliptic curve with $N$ vacua
and $N$ poles in the fundamental cell. The modular curve $Y(N)=
\mathbb{H}/\Gamma(N)$ is a cover of degree $N$ of $Y_{1}(N)$ and plays the role
of spectral cover for the space of models. The presence of an abelian symmetry
allows to diagonalize the Berry's connection of the vacuum bundle and the
$tt^{*}$ equations turn out to be the well known $\hat{A}_{N-1}$ Toda
equations. The underlying structure of the modular curves and the connection
between geometry and number theory emerge clearly when we study the modular
properties and classify the critical limits of these models.
| [
{
"created": "Thu, 1 Mar 2018 16:40:44 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 2019 09:41:21 GMT",
"version": "v2"
}
] | 2019-10-17 | [
[
"Bergamin",
"Riccardo",
""
]
] | Motivated by Vafa's model, we study the $tt^{*}$ geometry of a degenerate class of FQHE models with an abelian group of symmetry acting transitively on the classical vacua. Despite it is not relevant for the phenomenology of the FQHE, this class of theories has interesting mathematical properties. We find that these models are parametrized by the family of modular curves $Y_{1}(N)= \mathbb{H}/\Gamma_{1}(N)$, labelled by an integer $N\geq 2$. Each point of the space of level $N$ is in correspondence with a one dimensional $\mathcal{N}=4$ Landau-Ginzburg theory, which is defined on an elliptic curve with $N$ vacua and $N$ poles in the fundamental cell. The modular curve $Y(N)= \mathbb{H}/\Gamma(N)$ is a cover of degree $N$ of $Y_{1}(N)$ and plays the role of spectral cover for the space of models. The presence of an abelian symmetry allows to diagonalize the Berry's connection of the vacuum bundle and the $tt^{*}$ equations turn out to be the well known $\hat{A}_{N-1}$ Toda equations. The underlying structure of the modular curves and the connection between geometry and number theory emerge clearly when we study the modular properties and classify the critical limits of these models. |
0711.1347 | Brian Dolan | Brian P. Dolan, Idrish Huet, Sean Murray and Denjoe O'Connor | A universal Dirac operator and noncommutative spin bundles over fuzzy
complex projective spaces | 25 pages, typeset in LaTeX, uses youngtab package, v3 updates to
published version and includes a minor correction in the conclusions | JHEP0803:029,2008 | 10.1088/1126-6708/2008/03/029 | DIAS-STP-07-19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a universal Dirac operator for noncommutative spin and spin^c
bundles over fuzzy complex projective spaces. We give an explicit construction
of these bundles, which are described in terms of finite dimensional matrices,
calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our
knowledge the spin^c spectrum for CP^n with n>=3 is new.
| [
{
"created": "Thu, 8 Nov 2007 20:15:16 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jan 2008 15:25:59 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Sep 2008 16:05:08 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Dolan",
"Brian P.",
""
],
[
"Huet",
"Idrish",
""
],
[
"Murray",
"Sean",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | We present a universal Dirac operator for noncommutative spin and spin^c bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spin^c spectrum for CP^n with n>=3 is new. |
1803.10796 | Kazuya Yonekura | Kazuya Yonekura | On the cobordism classification of symmetry protected topological phases | 57 pages, 14 figures; v2: references added; v3: several minor
corrections | null | 10.1007/s00220-019-03439-y | IPMU-18-0040 | hep-th cond-mat.str-el math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of Atiyah's axioms of topological quantum field theory with
unitarity, we give a direct proof of the fact that symmetry protected
topological (SPT) phases without Hall effects are classified by cobordism
invariants. We first show that the partition functions of those theories are
cobordism invariants after a tuning of the Euler term. Conversely, for a given
cobordism invariant, we construct a unitary topological field theory whose
partition function is given by the cobordism invariant. Two theories having the
same cobordism invariant partition functions are isomorphic.
| [
{
"created": "Wed, 28 Mar 2018 18:37:21 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2018 09:45:42 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Jun 2019 13:47:58 GMT",
"version": "v3"
}
] | 2019-06-18 | [
[
"Yonekura",
"Kazuya",
""
]
] | In the framework of Atiyah's axioms of topological quantum field theory with unitarity, we give a direct proof of the fact that symmetry protected topological (SPT) phases without Hall effects are classified by cobordism invariants. We first show that the partition functions of those theories are cobordism invariants after a tuning of the Euler term. Conversely, for a given cobordism invariant, we construct a unitary topological field theory whose partition function is given by the cobordism invariant. Two theories having the same cobordism invariant partition functions are isomorphic. |
hep-th/0210185 | Eugen Radu | J.J. van der Bij and Eugen Radu (Faculty of Physics,
Albert-Ludwigs-University, Freiburg, Germany) | Magnetic charge, angular momentum and negative cosmological constant | 17 pages, LaTeX, 7 figures | Int.J.Mod.Phys.A18:2379-2393,2003 | 10.1142/S0217751X0301382X | Freiburg-THEP 02/12 | hep-th | null | We argue that there are no axially symmetric rotating monopole solutions for
a Yang-Mills-Higgs theory in flat spacetime background. We construct axially
symmetric Yang-Mills-Higgs solutions in the presence of a negative cosmological
constant, carrying magnetic charge $n$ and a nonvanishing electric charge.
However, these solution are also nonrotating.
| [
{
"created": "Sat, 19 Oct 2002 11:03:01 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"van der Bij",
"J. J.",
"",
"Faculty of Physics,\n Albert-Ludwigs-University, Freiburg, Germany"
],
[
"Radu",
"Eugen",
"",
"Faculty of Physics,\n Albert-Ludwigs-University, Freiburg, Germany"
]
] | We argue that there are no axially symmetric rotating monopole solutions for a Yang-Mills-Higgs theory in flat spacetime background. We construct axially symmetric Yang-Mills-Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge $n$ and a nonvanishing electric charge. However, these solution are also nonrotating. |
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