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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1002.3714 | Anastasia Doikou | Anastasia Doikou, Konstadinos Sfetsos | Contractions of quantum algebraic structures | 6 pages, Latex. Proceedings contribution to the "9th Hellenic School
on Elementary Particle Physics and Gravity" Corfu, September 2009. Based on a
talk given by A.D | Fortsch. Phys.58:879-882, 2010 | 10.1002/prop.201000032 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general framework for obtaining certain types of contracted and centrally
extended algebras is presented. The whole process relies on the existence of
quadratic algebras, which appear in the context of boundary integrable models.
| [
{
"created": "Fri, 19 Feb 2010 11:17:08 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Doikou",
"Anastasia",
""
],
[
"Sfetsos",
"Konstadinos",
""
]
] | A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models. |
1711.07449 | Wei Li | Matthias R. Gaberdiel, Wei Li, Cheng Peng, Hong Zhang | The supersymmetric affine Yangian | 35 pages, 5 figures | null | 10.1007/JHEP05(2018)200 | Brown-HET-1729 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The affine Yangian of $\mathfrak{gl}_1$ is known to be isomorphic to ${\cal
W}_{1+\infty}$, the $W$-algebra that characterizes the bosonic higher spin --
CFT duality. In this paper we propose defining relations of the Yangian that
are relevant for the ${\cal N}=2$ superconformal version of ${\cal
W}_{1+\infty}$. Our construction is based on the observation that the ${\cal
N}=2$ superconformal ${\cal W}_{1+\infty}$ algebra contains two commuting
bosonic ${\cal W}_{1+\infty}$ algebras, and that the additional generators
transform in bi-minimal representations with respect to these two algebras. The
corresponding affine Yangian can therefore be built up from two affine Yangians
of $\mathfrak{gl}_1$ by adding in generators that transform appropriately.
| [
{
"created": "Mon, 20 Nov 2017 18:23:17 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 16:26:46 GMT",
"version": "v2"
}
] | 2018-07-04 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Li",
"Wei",
""
],
[
"Peng",
"Cheng",
""
],
[
"Zhang",
"Hong",
""
]
] | The affine Yangian of $\mathfrak{gl}_1$ is known to be isomorphic to ${\cal W}_{1+\infty}$, the $W$-algebra that characterizes the bosonic higher spin -- CFT duality. In this paper we propose defining relations of the Yangian that are relevant for the ${\cal N}=2$ superconformal version of ${\cal W}_{1+\infty}$. Our construction is based on the observation that the ${\cal N}=2$ superconformal ${\cal W}_{1+\infty}$ algebra contains two commuting bosonic ${\cal W}_{1+\infty}$ algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. The corresponding affine Yangian can therefore be built up from two affine Yangians of $\mathfrak{gl}_1$ by adding in generators that transform appropriately. |
hep-th/0409286 | Igor B. Samsonov | I.B. Samsonov | On Low-Energy Effective Action in N=3 Supersymmetric Gauge Theory | 10 pages, talk given at QUARKS-2004, Pushkinskie Gory, Russia, May
24-30, 2004 | null | null | null | hep-th | null | The problem of construction of low-energy effective action in N=3 SYM theory
is considered within the harmonic superspace (HSS) approach. The low-energy
effective action is supposed to be a gauge- and scale-invariant functional in
N=3 HSS reproducing the term F^4/\phi^4 in components. This functional is found
as a scale-invariant generalization of the F^4-term in N=3 supersymmetric
Born-Infeld action.
| [
{
"created": "Tue, 28 Sep 2004 08:36:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Samsonov",
"I. B.",
""
]
] | The problem of construction of low-energy effective action in N=3 SYM theory is considered within the harmonic superspace (HSS) approach. The low-energy effective action is supposed to be a gauge- and scale-invariant functional in N=3 HSS reproducing the term F^4/\phi^4 in components. This functional is found as a scale-invariant generalization of the F^4-term in N=3 supersymmetric Born-Infeld action. |
hep-th/9407151 | Adel Bilal | Adel Bilal and Ian I. Kogan | Gravitationally Dressed Conformal Field Theory and Emergence of
Logarithmic Operators | 7 pages, Princeton University preprint PUPT-1482 | null | null | null | hep-th | null | We study correlation functions in two-dimensional conformal field theory
coupled to induced gravity in the light-cone gauge. Focussing on the fermion
four-point function, we display an unexpected non-perturbative singularity
structure: coupling to gravity {\it qualitatively} changes the perturbative
$(x_1-x_2)^{-1}(x_3-x_4)^{-1}$ singularity into a logarithmic one plus a
non-singular piece. We argue that this is related to the appearence of new
logarithmic operators in the gravitationally dressed operator product
expansions. We also show some evidence that non-conformal but integrable models
may remain integrable when coupled to gravity.
| [
{
"created": "Fri, 22 Jul 1994 20:44:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bilal",
"Adel",
""
],
[
"Kogan",
"Ian I.",
""
]
] | We study correlation functions in two-dimensional conformal field theory coupled to induced gravity in the light-cone gauge. Focussing on the fermion four-point function, we display an unexpected non-perturbative singularity structure: coupling to gravity {\it qualitatively} changes the perturbative $(x_1-x_2)^{-1}(x_3-x_4)^{-1}$ singularity into a logarithmic one plus a non-singular piece. We argue that this is related to the appearence of new logarithmic operators in the gravitationally dressed operator product expansions. We also show some evidence that non-conformal but integrable models may remain integrable when coupled to gravity. |
hep-th/0412268 | Peter Bouwknegt | Peter Bouwknegt, Keith Hannabuss and Varghese Mathai | T-duality for principal torus bundles and dimensionally reduced Gysin
sequences | 21 pages, typos corrected | Adv.Theor.Math.Phys.9:749-773,2005 | null | null | hep-th | null | We reexamine the results on the global properties of T-duality for principal
circle bundles in the context of a dimensionally reduced Gysin sequence. We
will then construct a Gysin sequence for principal torus bundles and examine
the consequences. In particular, we will argue that the T-dual of a principal
torus bundle with nontrivial H-flux is, in general, a continuous field of
noncommutative, nonassociative tori.
| [
{
"created": "Wed, 22 Dec 2004 04:40:11 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 2004 00:04:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bouwknegt",
"Peter",
""
],
[
"Hannabuss",
"Keith",
""
],
[
"Mathai",
"Varghese",
""
]
] | We reexamine the results on the global properties of T-duality for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We will then construct a Gysin sequence for principal torus bundles and examine the consequences. In particular, we will argue that the T-dual of a principal torus bundle with nontrivial H-flux is, in general, a continuous field of noncommutative, nonassociative tori. |
0708.4374 | Henry Tye | S.-H. Henry Tye | A Renormalization Group Approach to the Cosmological Constant Problem | 25 pages, 3 figures; new appendices and references added | null | null | null | hep-th | null | In an earlier paper, it is proposed that, due to resonance tunneling effect,
tunneling from a large cosmological constant $\Lambda$ site in the stringy
comic landscape can be fast, while tunneling from a small $\Lambda$ site may
take exponentially long time. Borrowing the renormalization group analysis of
the conductance in the Anderson localization transition, we treat the landscape
as a multi-dimensional random potential and find that the vastness of the
landscape leads to a sharp transition at a small critical value $\Lambda_{c}$
from fast tunneling for $\Lambda > \Lambda_{c} $ to suppressed tunneling for
$\Lambda_{c} > \Lambda >0$. Mobility in the landscape makes eternal inflation
highly unlikely. As an illustration, we find that $\Lambda_{c}$ can easily be
exponentially small compared to the string/Planck scale. These properties may
help us in finding a qualitative understanding why today's dark energy is so
small.
| [
{
"created": "Fri, 31 Aug 2007 18:07:10 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Sep 2007 06:37:07 GMT",
"version": "v2"
}
] | 2007-09-15 | [
[
"Tye",
"S. -H. Henry",
""
]
] | In an earlier paper, it is proposed that, due to resonance tunneling effect, tunneling from a large cosmological constant $\Lambda$ site in the stringy comic landscape can be fast, while tunneling from a small $\Lambda$ site may take exponentially long time. Borrowing the renormalization group analysis of the conductance in the Anderson localization transition, we treat the landscape as a multi-dimensional random potential and find that the vastness of the landscape leads to a sharp transition at a small critical value $\Lambda_{c}$ from fast tunneling for $\Lambda > \Lambda_{c} $ to suppressed tunneling for $\Lambda_{c} > \Lambda >0$. Mobility in the landscape makes eternal inflation highly unlikely. As an illustration, we find that $\Lambda_{c}$ can easily be exponentially small compared to the string/Planck scale. These properties may help us in finding a qualitative understanding why today's dark energy is so small. |
hep-th/9411103 | null | A.Babichenko | Fundamental S-matrix for vector perturbed WD_n minimal models | Latex file. 10 pages. (reference was corrected) | null | null | null | hep-th | null | Kink-kink S-matrix for integrable vector perturbed $WD_{n}^{(k)}$ minimal
models is constructed from the Boltzmann weights of $A_{2n-1}^{(2)}$
RSOS model and checked in two limit cases $k=1$ and $k\rightarrow \infty$
| [
{
"created": "Tue, 15 Nov 1994 10:09:00 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 1994 15:27:00 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Babichenko",
"A.",
""
]
] | Kink-kink S-matrix for integrable vector perturbed $WD_{n}^{(k)}$ minimal models is constructed from the Boltzmann weights of $A_{2n-1}^{(2)}$ RSOS model and checked in two limit cases $k=1$ and $k\rightarrow \infty$ |
1701.06243 | Victor Eugen Ambru\c{s} | Victor E. Ambrus | Particle production in a Robertson-Walker space with a de Sitter phase
of finite extension | 110 pages; Master thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the phenomenon of particle production in a
Friedmann-Robertson-Walker universe which contains a phase of de Sitter
expansion for a finite interval, outside which it reduces to the flat Minkowski
spacetime. We compute the particle number density for a massive scalar and a
spinorial field and point out differences between the two cases. We find that
the resulting particle density approaches a constant value at the scale of the
Hubble time and that for a certain choice of the parameters the spectrum is
precisely thermal for the spinorial field, and almost thermal for the scalar
field.
| [
{
"created": "Mon, 23 Jan 2017 01:12:06 GMT",
"version": "v1"
}
] | 2017-01-24 | [
[
"Ambrus",
"Victor E.",
""
]
] | We investigate the phenomenon of particle production in a Friedmann-Robertson-Walker universe which contains a phase of de Sitter expansion for a finite interval, outside which it reduces to the flat Minkowski spacetime. We compute the particle number density for a massive scalar and a spinorial field and point out differences between the two cases. We find that the resulting particle density approaches a constant value at the scale of the Hubble time and that for a certain choice of the parameters the spectrum is precisely thermal for the spinorial field, and almost thermal for the scalar field. |
2106.04532 | Beatrix M\"uhlmann | Beatrix M\"uhlmann | The two-sphere partition function in two-dimensional quantum gravity at
fixed area | 16 pages + appendices. arXiv admin note: text overlap with
arXiv:2106.01665 | null | 10.1007/JHEP09(2021)189 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss two-dimensional quantum gravity coupled to conformal matter and
fixed area in a semiclassical large and negative matter central charge limit.
In this setup the gravity theory -- otherwise highly fluctuating -- admits a
round two-sphere saddle. We discuss the two-sphere partition function up to
two-loop order from the path integral perspective. This amounts to studying
Feynman diagrams incorporating the fixed area constraint on the round
two-sphere. In particular we find that all ultraviolet divergences cancel to
this order. We compare our results with the two-sphere partition function
obtained from the DOZZ formula.
| [
{
"created": "Tue, 8 Jun 2021 17:15:58 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 2021 15:07:44 GMT",
"version": "v2"
}
] | 2021-10-13 | [
[
"Mühlmann",
"Beatrix",
""
]
] | We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory -- otherwise highly fluctuating -- admits a round two-sphere saddle. We discuss the two-sphere partition function up to two-loop order from the path integral perspective. This amounts to studying Feynman diagrams incorporating the fixed area constraint on the round two-sphere. In particular we find that all ultraviolet divergences cancel to this order. We compare our results with the two-sphere partition function obtained from the DOZZ formula. |
1105.3979 | Antonio Amariti | Antonio Amariti, Massimo Siani | F-maximization along the RG flows: a proposal | 19 pages, using jheppub.sty, references added, final version
published on JHEP | null | 10.1007/JHEP11(2011)056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an extension of the F-maximization principle to take into account
the effects of non-superconformality. Guided by a four-dimensional analog, we
formulate a modification of the free energy via the Lagrange multiplier
technique. We conjecture that the Lagrange multiplier plays the same role as
the coupling constant, at least at weak coupling. We check our proposal in many
examples with unitary, symplectic and orthogonal gauge groups.
| [
{
"created": "Thu, 19 May 2011 20:06:12 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2011 16:37:23 GMT",
"version": "v2"
},
{
"created": "Wed, 30 May 2012 20:55:35 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Amariti",
"Antonio",
""
],
[
"Siani",
"Massimo",
""
]
] | We propose an extension of the F-maximization principle to take into account the effects of non-superconformality. Guided by a four-dimensional analog, we formulate a modification of the free energy via the Lagrange multiplier technique. We conjecture that the Lagrange multiplier plays the same role as the coupling constant, at least at weak coupling. We check our proposal in many examples with unitary, symplectic and orthogonal gauge groups. |
hep-th/0512301 | Gabriele Veneziano | G. Veneziano and J. Wosiek | Planar Quantum Mechanics: an Intriguing Supersymmetric Example | 14 pages, 3 .eps figures (1 figure, 2 acknowledgements added, typos
corrected) | JHEP 0601:156,2006 | 10.1088/1126-6708/2006/01/156 | CERN-PH-TH/2005-269, TPJU-9/2005 | hep-th | null | After setting up a Hamiltonian formulation of planar (matrix) quantum
mechanics, we illustrate its effectiveness in a non-trivial supersymmetric
example. The numerical and analytical study of two sectors of the model, as a
function of 't Hooft's coupling $\lambda$, reveals both a phase transition at
$\lambda=1$ (disappearence of the mass gap and discontinuous jump in Witten's
index) and a new form of strong-weak duality for $\lambda \to 1/\lambda$.
| [
{
"created": "Fri, 23 Dec 2005 11:39:51 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Dec 2005 15:49:41 GMT",
"version": "v2"
}
] | 2011-07-28 | [
[
"Veneziano",
"G.",
""
],
[
"Wosiek",
"J.",
""
]
] | After setting up a Hamiltonian formulation of planar (matrix) quantum mechanics, we illustrate its effectiveness in a non-trivial supersymmetric example. The numerical and analytical study of two sectors of the model, as a function of 't Hooft's coupling $\lambda$, reveals both a phase transition at $\lambda=1$ (disappearence of the mass gap and discontinuous jump in Witten's index) and a new form of strong-weak duality for $\lambda \to 1/\lambda$. |
1209.2428 | Matthew Roberts | Matthew Headrick, Albion Lawrence, Matthew M. Roberts | Bose-Fermi duality and entanglement entropies | 40 pages; v3: improvements to presentation, new section discussing
entanglement negativity | J.Stat.Mech. 1302 (2013) P02022 | 10.1088/1742-5468/2013/02/P02022 | BRX-TH-656; NSF-KITP-12-096 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entanglement (Renyi) entropies of spatial regions are a useful tool for
characterizing the ground states of quantum field theories. In this paper we
investigate the extent to which these are universal quantities for a given
theory, and to which they distinguish different theories, by comparing the
entanglement spectra of the massless Dirac fermion and the compact free boson
in two dimensions. We show that the calculation of Renyi entropies via the
replica trick for any orbifold theory includes a sum over orbifold twists on
all cycles. In a modular-invariant theory of fermions, this amounts to a sum
over spin structures. The result is that the Renyi entropies respect the
standard Bose-Fermi duality. Next, we investigate the entanglement spectrum for
the Dirac fermion without a sum over spin structures, and for the compact boson
at the self-dual radius. These are not equivalent theories; nonetheless, we
find that (1) their second Renyi entropies agree for any number of intervals,
(2) their full entanglement spectra agree for two intervals, and (3) the
spectrum generically disagrees otherwise. These results follow from the
equality of the partition functions of the two theories on any Riemann surface
with imaginary period matrix. We also exhibit a map between the operators of
the theories that preserves scaling dimensions (but not spins), as well as OPEs
and correlators of operators placed on the real line. All of these coincidences
can be traced to the fact that the momentum lattice for the bosonized fermion
is related to that of the self-dual boson by a 45 degree rotation that mixes
left- and right-movers.
| [
{
"created": "Tue, 11 Sep 2012 20:08:04 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2012 20:11:53 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Feb 2013 16:52:51 GMT",
"version": "v3"
}
] | 2013-03-18 | [
[
"Headrick",
"Matthew",
""
],
[
"Lawrence",
"Albion",
""
],
[
"Roberts",
"Matthew M.",
""
]
] | Entanglement (Renyi) entropies of spatial regions are a useful tool for characterizing the ground states of quantum field theories. In this paper we investigate the extent to which these are universal quantities for a given theory, and to which they distinguish different theories, by comparing the entanglement spectra of the massless Dirac fermion and the compact free boson in two dimensions. We show that the calculation of Renyi entropies via the replica trick for any orbifold theory includes a sum over orbifold twists on all cycles. In a modular-invariant theory of fermions, this amounts to a sum over spin structures. The result is that the Renyi entropies respect the standard Bose-Fermi duality. Next, we investigate the entanglement spectrum for the Dirac fermion without a sum over spin structures, and for the compact boson at the self-dual radius. These are not equivalent theories; nonetheless, we find that (1) their second Renyi entropies agree for any number of intervals, (2) their full entanglement spectra agree for two intervals, and (3) the spectrum generically disagrees otherwise. These results follow from the equality of the partition functions of the two theories on any Riemann surface with imaginary period matrix. We also exhibit a map between the operators of the theories that preserves scaling dimensions (but not spins), as well as OPEs and correlators of operators placed on the real line. All of these coincidences can be traced to the fact that the momentum lattice for the bosonized fermion is related to that of the self-dual boson by a 45 degree rotation that mixes left- and right-movers. |
2305.08981 | Enrico Herrmann | Zvi Bern, Enrico Herrmann, Radu Roiban, Michael S. Ruf, Alexander V.
Smirnov, Vladimir A. Smirnov, Mao Zeng | Conservative binary dynamics at order $O(\alpha^5)$ in electrodynamics | 7 pages, 1 figure | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We compute the potential-photon contributions to the classical relativistic
scattering angle of two charged non-spinning bodies in electrodynamics through
fifth order in the coupling. We use the scattering amplitudes framework,
effective field theory, and multi-loop integration techniques based on
integration by parts and differential equations. At fifth order, the result is
expressed in terms of cyclotomic polylogarithms. Our calculation demonstrates
the feasibility of the corresponding calculations in general relativity,
including the evaluation of the encountered four-loop integrals.
| [
{
"created": "Mon, 15 May 2023 19:46:38 GMT",
"version": "v1"
}
] | 2023-05-17 | [
[
"Bern",
"Zvi",
""
],
[
"Herrmann",
"Enrico",
""
],
[
"Roiban",
"Radu",
""
],
[
"Ruf",
"Michael S.",
""
],
[
"Smirnov",
"Alexander V.",
""
],
[
"Smirnov",
"Vladimir A.",
""
],
[
"Zeng",
"Mao",
""
]
] | We compute the potential-photon contributions to the classical relativistic scattering angle of two charged non-spinning bodies in electrodynamics through fifth order in the coupling. We use the scattering amplitudes framework, effective field theory, and multi-loop integration techniques based on integration by parts and differential equations. At fifth order, the result is expressed in terms of cyclotomic polylogarithms. Our calculation demonstrates the feasibility of the corresponding calculations in general relativity, including the evaluation of the encountered four-loop integrals. |
hep-th/0009036 | Oleg Shvedov | O.Yu.Shvedov | Exactly Solvable Quantum Mechanical Models with Infinite Renormalization
of the Wave Function | 13 pages, LaTeX | J.Phys.A34:3483-3496,2001 | 10.1088/0305-4470/34/16/316 | null | hep-th | null | The main difficulty of quantum field theory is the problem of divergences and
renormalization. However, realistic models of quantum field theory are
renormalized within the perturbative framework only. It is important to
investigate renormalization beyond perturbation theory. However, known models
of constructive field theory do not contain such difficulties as infinite
renormalization of the wave function. In this paper an exactly solvable quantum
mechanical model with such a difficulty is constructed. This model is a
simplified analog of the large-N approximation to the $\Phi\phi^a\phi^a$-model
in 6-dimensional space-time. It is necessary to introduce an indefinite inner
product to renormalize the theory. The mathematical results of the theory of
Pontriagin spaces are essentially used. It is remarkable that not only the
field but also the canonically conjugated momentum become well-defined
operators after adding counterterms.
| [
{
"created": "Tue, 5 Sep 2000 09:23:13 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Shvedov",
"O. Yu.",
""
]
] | The main difficulty of quantum field theory is the problem of divergences and renormalization. However, realistic models of quantum field theory are renormalized within the perturbative framework only. It is important to investigate renormalization beyond perturbation theory. However, known models of constructive field theory do not contain such difficulties as infinite renormalization of the wave function. In this paper an exactly solvable quantum mechanical model with such a difficulty is constructed. This model is a simplified analog of the large-N approximation to the $\Phi\phi^a\phi^a$-model in 6-dimensional space-time. It is necessary to introduce an indefinite inner product to renormalize the theory. The mathematical results of the theory of Pontriagin spaces are essentially used. It is remarkable that not only the field but also the canonically conjugated momentum become well-defined operators after adding counterterms. |
hep-th/9702098 | null | Massimo Bianchi (Universita' di Roma ``Tor Vergata'') | Type I Superstrings without D-branes | 11 pages, latex, no figures; contribution to the Proceedings of the
XII Italian Conference on General Relativity and Gravitational Physics, Rome,
September 1996 | null | null | ROM2F-97-6 | hep-th | null | Notwithstanding the central role of D-branes in many recently proposed string
dualities, several interesting type I vacua have been found without resorting
directly to D-brane technology. In this talk, we analyze a three-generation
SO(8)xU(12) chiral type I model with N=1 supersymmetry in D=4. It descends from
the type IIB compactification on the Z orbifold and requires only Neumann
boundary conditions, i.e. only the ubiquitous D9-branes (pan-branes). We also
discuss a large class of 6D type I vacua that display rich patterns of
Chan-Paton symmetry breaking/enhancement and various numbers of tensor
multiplets. Finally, we briefly address issues raised by the conjectured
heterotic - type I duality and by the relation between type I vacua and
compactifications of the putative F-theory.
| [
{
"created": "Wed, 12 Feb 1997 13:25:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bianchi",
"Massimo",
"",
"Universita' di Roma ``Tor Vergata''"
]
] | Notwithstanding the central role of D-branes in many recently proposed string dualities, several interesting type I vacua have been found without resorting directly to D-brane technology. In this talk, we analyze a three-generation SO(8)xU(12) chiral type I model with N=1 supersymmetry in D=4. It descends from the type IIB compactification on the Z orbifold and requires only Neumann boundary conditions, i.e. only the ubiquitous D9-branes (pan-branes). We also discuss a large class of 6D type I vacua that display rich patterns of Chan-Paton symmetry breaking/enhancement and various numbers of tensor multiplets. Finally, we briefly address issues raised by the conjectured heterotic - type I duality and by the relation between type I vacua and compactifications of the putative F-theory. |
1303.7167 | Sergio Giardino | Sergio Giardino | Semi-classical strings in $(2+1)-$dimensional backgrounds | 11 pages, 6 figures | ISRN High Energy Physics, 2013, 517858 (2013) | 10.1155/2013/517858 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This study analyzes the geometrical relationship between a classical string
and its semi-classical quantum model. From an arbitrary $(2+1)-$dimensional
geometry, a specific ansatz for a classical string is used to generate a
semi-classical quantum model. In this framework, examples of quantum
oscillations and quantum free particles are presented that uniquely determine a
classical string and the space-time geometry where its motion takes place.
| [
{
"created": "Thu, 28 Mar 2013 16:28:21 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Giardino",
"Sergio",
""
]
] | This study analyzes the geometrical relationship between a classical string and its semi-classical quantum model. From an arbitrary $(2+1)-$dimensional geometry, a specific ansatz for a classical string is used to generate a semi-classical quantum model. In this framework, examples of quantum oscillations and quantum free particles are presented that uniquely determine a classical string and the space-time geometry where its motion takes place. |
hep-th/0210269 | Constantin Bachas | Constantin Bachas and Chris Hull | Null Brane Intersections | Tex file, uses harvmac, 24 pages with 5 figures. Corrected typos and
added references. Final version to appear in JHEP | JHEP 0212 (2002) 035 | 10.1088/1126-6708/2002/12/035 | LPTENS-02/53, QMUL-PH-02-17 | hep-th | null | We study pairs of planar D-branes intersecting on null hypersurfaces, and
other related configurations. These are supersymmetric and have finite energy
density. They provide open-string analogues of the parabolic orbifold and
null-fluxbrane backgrounds for closed superstrings. We derive the spectrum of
open strings, showing in particular that if the D-branes are shifted in a
spectator dimension so that they do not intersect, the open strings joining
them have no asymptotic states. As a result, a single non-BPS excitation can in
this case catalyze a condensation of massless modes, changing significantly the
underlying supersymmetric vacuum state. We argue that a similar phenomenon can
modify the null cosmological singularity of the time-dependent orbifolds. This
is a stringy mechanism, distinct from black-hole formation and other strong
gravitational instabilities, and one that should dominate at weak string
coupling. A by-product of our analysis is a new understanding of the appearance
of 1/4 BPS threshold bound states, at special points in the moduli space of
toroidally-compactified type-II string theory.
| [
{
"created": "Mon, 28 Oct 2002 19:17:27 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Jan 2003 14:54:13 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Bachas",
"Constantin",
""
],
[
"Hull",
"Chris",
""
]
] | We study pairs of planar D-branes intersecting on null hypersurfaces, and other related configurations. These are supersymmetric and have finite energy density. They provide open-string analogues of the parabolic orbifold and null-fluxbrane backgrounds for closed superstrings. We derive the spectrum of open strings, showing in particular that if the D-branes are shifted in a spectator dimension so that they do not intersect, the open strings joining them have no asymptotic states. As a result, a single non-BPS excitation can in this case catalyze a condensation of massless modes, changing significantly the underlying supersymmetric vacuum state. We argue that a similar phenomenon can modify the null cosmological singularity of the time-dependent orbifolds. This is a stringy mechanism, distinct from black-hole formation and other strong gravitational instabilities, and one that should dominate at weak string coupling. A by-product of our analysis is a new understanding of the appearance of 1/4 BPS threshold bound states, at special points in the moduli space of toroidally-compactified type-II string theory. |
2208.09226 | Francesco Sannino | Jahmall Bersini, Alessandra D'Alise, Francesco Sannino, Mat\'ias
Torres | The $\theta$-angle and axion physics of two-color QCD at fixed baryon
charge. Part I | LaTeX 29 pages, 11 figures | null | 10.1007/JHEP11(2022)080 | RBI-ThPhys-2022-31 | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We analyze the impact of the $\theta$-angle and axion dynamics for two-color
(in fact any $Sp(2N)$) QCD at nonzero baryon charge and as a function of the
number of matter fields on the vacuum properties, the pattern of chiral
symmetry breaking as well as the spectrum of the theory. We show that the
vacuum acquires a rich structure when the underlying $CP$ violating topological
operator is added to the theory. We discover novel phases and analyse the order
of their transitions characterizing the dynamics of the odd and even number of
flavours. We further determine the critical chemical potential as function of
the $\theta$ angle separating the normal from the superfluid phase of the
theory. Our results will guide numerical simulations and novel tests of the
model's dynamics. The results are also expected to better inform
phenomenological applications of the model ranging from composite Higgs physics
to strongly interacting massive dark matter models featuring number changing
interactions. In the companion work \cite{PartII} we repurpose and upgrade the
approach to determine the impact of the $\theta$-angle and axion physics on
non-perturbative near conformal dynamics related to the fixed baryon charge
sector.
| [
{
"created": "Fri, 19 Aug 2022 09:07:05 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Bersini",
"Jahmall",
""
],
[
"D'Alise",
"Alessandra",
""
],
[
"Sannino",
"Francesco",
""
],
[
"Torres",
"Matías",
""
]
] | We analyze the impact of the $\theta$-angle and axion dynamics for two-color (in fact any $Sp(2N)$) QCD at nonzero baryon charge and as a function of the number of matter fields on the vacuum properties, the pattern of chiral symmetry breaking as well as the spectrum of the theory. We show that the vacuum acquires a rich structure when the underlying $CP$ violating topological operator is added to the theory. We discover novel phases and analyse the order of their transitions characterizing the dynamics of the odd and even number of flavours. We further determine the critical chemical potential as function of the $\theta$ angle separating the normal from the superfluid phase of the theory. Our results will guide numerical simulations and novel tests of the model's dynamics. The results are also expected to better inform phenomenological applications of the model ranging from composite Higgs physics to strongly interacting massive dark matter models featuring number changing interactions. In the companion work \cite{PartII} we repurpose and upgrade the approach to determine the impact of the $\theta$-angle and axion physics on non-perturbative near conformal dynamics related to the fixed baryon charge sector. |
1007.2476 | Seyed Hossein Hendi | S. H. Hendi | Magnetic String Coupled to Nonlinear Electromagnetic Field | 13 pages, 3 figures | Phys.Lett.B678:438-443,2009 | 10.1016/j.physletb.2009.06.074 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a class of rotating magnetically charged string solutions of the
Einstein gravity with a nonlinear electrodynamics source in four dimensions.
The present solutions has no curvature singularity and no horizons but has a
conic singularity and yields a spacetime with a longitudinal magnetic field.
Also, we investigate the effects of nonlinearity on the properties of the
solutions and find that for the special range of the nonlinear parameter, the
solutions are not asymptotic AdS. We show that when the rotation parameter is
non zero, the spinning string has a net electric charge that is proportional to
the magnitude of the rotation parameter. Finally, we use the counterterm method
inspired by AdS/CFT correspondence and calculate the conserved quantities of
the solutions.
| [
{
"created": "Thu, 15 Jul 2010 05:16:12 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Hendi",
"S. H.",
""
]
] | We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic singularity and yields a spacetime with a longitudinal magnetic field. Also, we investigate the effects of nonlinearity on the properties of the solutions and find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We show that when the rotation parameter is non zero, the spinning string has a net electric charge that is proportional to the magnitude of the rotation parameter. Finally, we use the counterterm method inspired by AdS/CFT correspondence and calculate the conserved quantities of the solutions. |
1304.7097 | Shigenori Seki Dr. | Shigenori Seki, Sang-Jin Sin | A New Model of Holographic QCD and Chiral Condensate in Dense Matter | 23 pages, 6 figures; v2: Section 2.2 modified, the final results do
not change, version published in JHEP | JHEP 1310 (2013) 223 | 10.1007/JHEP10(2013)223 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the model of holographic QCD with asymptotic freedom and gluon
condensation in its vacuum. It consists of the color D4-branes and D0-branes as
a background and the flavor D8-branes as a probe. By taking a specific field
theory limit, the effective coupling decreases to vanish in UV region. We then
introduce the uniformly distributed baryons in terms of the baryon vertices and
study the density dependence of chiral condensate, which is evaluated using the
worldsheet instanton method. In the confined phase, the chiral condensate as a
function of density monotonically decreases in high baryon density. Such
behavior is in agreement with the expectation, while in extremely low density
it increases. We attribute this anomaly to the incorrect approximation of
uniformity in very low density. In the deconfined phase the chiral condensate
monotonically decreases in the whole region of density.
| [
{
"created": "Fri, 26 Apr 2013 08:50:54 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Dec 2013 05:49:58 GMT",
"version": "v2"
}
] | 2013-12-09 | [
[
"Seki",
"Shigenori",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We consider the model of holographic QCD with asymptotic freedom and gluon condensation in its vacuum. It consists of the color D4-branes and D0-branes as a background and the flavor D8-branes as a probe. By taking a specific field theory limit, the effective coupling decreases to vanish in UV region. We then introduce the uniformly distributed baryons in terms of the baryon vertices and study the density dependence of chiral condensate, which is evaluated using the worldsheet instanton method. In the confined phase, the chiral condensate as a function of density monotonically decreases in high baryon density. Such behavior is in agreement with the expectation, while in extremely low density it increases. We attribute this anomaly to the incorrect approximation of uniformity in very low density. In the deconfined phase the chiral condensate monotonically decreases in the whole region of density. |
hep-th/9702009 | Frank Antonsen | Frank Antonsen, Karsten Bormann | Effective Actions for Spin 0,1/2,1 in Curved Spacetimes | LaTeX, 49 pages | null | null | null | hep-th gr-qc | null | We calculate the effective potentials for scalar, Dirac and Yang-Mills fields
in curved backgrounds using a new method for the determination of the heat
kernel involving a re-summation of the Schwinger-DeWitt series.
Self-interactions are treated both to one loop order as usual and slightly
beyond one-loop order by means of a mean-field approximation. The new approach
gives the familiar result for scalar fields, the Coleman-Weinberg potential
plus corrections such as the leading-log terms, but the actual calculation is
much faster. We furthermore show how to go systematically to higher loop order.
The Schwarzschild space-time is used to exemplify the procedure. Next we
consider phase transitions and we show that for a classical critical point to
be a critical point of the effective potential too, certain restrictions must
be imposed on as well its value as on the form of the classical potential and
the background geometry. We derive this extra condition for scalar fields with
arbitrary self couplings and comment on the case of fermions and gauge bosons
too. Critical points of the effective action which are not there classically
are also discussed. This has implications for inflation. The renormalised
energy-momentum tensor for a scalar field with arbitrary self-interaction and
non-minimal coupling to the gravitational background is also calculated to this
improved one-loop order as is the resulting conformal anomaly. Conditions for
the violation of energy conditions are described. Finally we discuss metric
fluctuations and a self-consistency condition for such fluctuations is written
down for spin 0,1/2,1 quantum fields. This is of importance for the study of
cosmic density fluctuations. All calculations are performed in the physically
relevant case of d=4 dimensions.
| [
{
"created": "Sat, 1 Feb 1997 19:07:00 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 1998 08:48:46 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Antonsen",
"Frank",
""
],
[
"Bormann",
"Karsten",
""
]
] | We calculate the effective potentials for scalar, Dirac and Yang-Mills fields in curved backgrounds using a new method for the determination of the heat kernel involving a re-summation of the Schwinger-DeWitt series. Self-interactions are treated both to one loop order as usual and slightly beyond one-loop order by means of a mean-field approximation. The new approach gives the familiar result for scalar fields, the Coleman-Weinberg potential plus corrections such as the leading-log terms, but the actual calculation is much faster. We furthermore show how to go systematically to higher loop order. The Schwarzschild space-time is used to exemplify the procedure. Next we consider phase transitions and we show that for a classical critical point to be a critical point of the effective potential too, certain restrictions must be imposed on as well its value as on the form of the classical potential and the background geometry. We derive this extra condition for scalar fields with arbitrary self couplings and comment on the case of fermions and gauge bosons too. Critical points of the effective action which are not there classically are also discussed. This has implications for inflation. The renormalised energy-momentum tensor for a scalar field with arbitrary self-interaction and non-minimal coupling to the gravitational background is also calculated to this improved one-loop order as is the resulting conformal anomaly. Conditions for the violation of energy conditions are described. Finally we discuss metric fluctuations and a self-consistency condition for such fluctuations is written down for spin 0,1/2,1 quantum fields. This is of importance for the study of cosmic density fluctuations. All calculations are performed in the physically relevant case of d=4 dimensions. |
hep-th/0212260 | Marco Matone | Marco Matone | Equivalence Postulate and the Quantum Potential of Two Free Particles | 7 pages, LaTeX. Talk at the First International Conference on String
Cosmology. Oxford, United Kingdom. July 2002 | null | 10.1142/9789812704917_0034 | DFPD02/TH/35 | hep-th math-ph math.MP quant-ph | null | Commutativity of the diagram of the maps connecting three one--particle
state, implied by the Equivalence Postulate (EP), gives a cocycle condition
which unequivocally leads to the quantum Hamilton--Jacobi equation. Energy
quantization is a direct consequences of the local homeomorphicity of the
trivializing map. We review the EP and show that the quantum potential for two
free particles, which depends on constants which may have a geometrical
interpretation, plays the role of interaction term that admits solutions which
do not vanish in the classical limit.
| [
{
"created": "Fri, 20 Dec 2002 11:38:53 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Matone",
"Marco",
""
]
] | Commutativity of the diagram of the maps connecting three one--particle state, implied by the Equivalence Postulate (EP), gives a cocycle condition which unequivocally leads to the quantum Hamilton--Jacobi equation. Energy quantization is a direct consequences of the local homeomorphicity of the trivializing map. We review the EP and show that the quantum potential for two free particles, which depends on constants which may have a geometrical interpretation, plays the role of interaction term that admits solutions which do not vanish in the classical limit. |
1301.2225 | Rolf Schimmrigk | Rolf Schimmrigk | Motivic L-Function Identities from CFT and Arithmetic Mirror Symmetry | 15 pages | null | 10.1142/S0217732313501678 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exactly solvable mirror pairs of Calabi-Yau threefolds of hypersurface type
exist in the class of Gepner models that include nondiagonal affine invariants.
Motivated by the string modular interpretation established previously for
models in this class it is natural to ask whether the arithmetic structure of
mirror pairs of varieties reflects the fact that as conformal field theories
they are isomorphic. Mirror symmetry in particular predicts that the
L-functions of the \Omega-motives of such pairs are identical. In the present
paper this prediction is confirmed by showing that the \Omega-motives of
exactly solvable mirror pairs are isomorphic. This follows as a corollary from
a more general result establishing an isomorphism between nondiagonally and
diagonally induced motives in this class of varieties. The motivic approach
formulated here circumvents the difficulty that no mirror construction of the
Hasse-Weil zeta function is known.
| [
{
"created": "Thu, 10 Jan 2013 19:32:32 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2013 20:25:21 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Schimmrigk",
"Rolf",
""
]
] | Exactly solvable mirror pairs of Calabi-Yau threefolds of hypersurface type exist in the class of Gepner models that include nondiagonal affine invariants. Motivated by the string modular interpretation established previously for models in this class it is natural to ask whether the arithmetic structure of mirror pairs of varieties reflects the fact that as conformal field theories they are isomorphic. Mirror symmetry in particular predicts that the L-functions of the \Omega-motives of such pairs are identical. In the present paper this prediction is confirmed by showing that the \Omega-motives of exactly solvable mirror pairs are isomorphic. This follows as a corollary from a more general result establishing an isomorphism between nondiagonally and diagonally induced motives in this class of varieties. The motivic approach formulated here circumvents the difficulty that no mirror construction of the Hasse-Weil zeta function is known. |
1005.3269 | J. Antonio Garcia Zenteno | Ignacio Cortese and J. Antonio Garc\'ia | A note on the implementation of Poincar\'e symmetry in noncommutative
field theory | 22 pages. | Int.J.Mod.Phys.A25:5747-5764,2010 | 10.1142/S0217751X10051074 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that Poincar\'e symmetry can be implemented in NCFT if we allow the
parameter of noncommutitive deformation $\theta^{\mu\nu}$ to change as a
two-tensor under the corresponding space-time symmetry. The implementation is
consistent with the definition of $\theta^{\mu\nu}$ in terms of space-time
coordinates and with the Moyal star product. Inspired from the standard
definition of a variational symmetry we found a universal way to correct the
implementation of the Poincar\'e symmetry by a term proportional to the
variation of $\theta^{\mu\nu}$ in such a way that the new transformation define
a symmetry of the theory. Finally we present as an example the case of NCYM
theory and comment about the obstructions to implement generalized space-time
symmetries in NCFT like conformal or diffeomorphism transformations.
| [
{
"created": "Tue, 18 May 2010 17:57:11 GMT",
"version": "v1"
}
] | 2011-01-04 | [
[
"Cortese",
"Ignacio",
""
],
[
"García",
"J. Antonio",
""
]
] | We argue that Poincar\'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $\theta^{\mu\nu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $\theta^{\mu\nu}$ in terms of space-time coordinates and with the Moyal star product. Inspired from the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincar\'e symmetry by a term proportional to the variation of $\theta^{\mu\nu}$ in such a way that the new transformation define a symmetry of the theory. Finally we present as an example the case of NCYM theory and comment about the obstructions to implement generalized space-time symmetries in NCFT like conformal or diffeomorphism transformations. |
1108.0732 | Roman Nikolaevich Lee | R.N. Lee and A.V. Smirnov and V.A. Smirnov | Master Integrals for Four-Loop Massless Propagators up to
Transcendentality Weight Twelve | 19 pages, 1 figure | null | 10.1016/j.nuclphysb.2011.11.005 | TTP11-20, SFB/CPP-11-38 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate a Laurent expansion in dimensional regularization parameter
$\epsilon=(4-d)/2$ of all the master integrals for four-loop massless
propagators up to transcendentality weight twelve, using a recently developed
method of one of the present coauthors (R.L.) and extending thereby results by
Baikov and Chetyrkin obtained at transcendentality weight seven. We observe
only multiple zeta values in our results. Therefore, we conclude that all the
four-loop massless propagator integrals, with any integer powers of numerators
and propagators, have only multiple zeta values in their epsilon expansions up
to transcendentality weight twelve.
| [
{
"created": "Wed, 3 Aug 2011 03:00:56 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Lee",
"R. N.",
""
],
[
"Smirnov",
"A. V.",
""
],
[
"Smirnov",
"V. A.",
""
]
] | We evaluate a Laurent expansion in dimensional regularization parameter $\epsilon=(4-d)/2$ of all the master integrals for four-loop massless propagators up to transcendentality weight twelve, using a recently developed method of one of the present coauthors (R.L.) and extending thereby results by Baikov and Chetyrkin obtained at transcendentality weight seven. We observe only multiple zeta values in our results. Therefore, we conclude that all the four-loop massless propagator integrals, with any integer powers of numerators and propagators, have only multiple zeta values in their epsilon expansions up to transcendentality weight twelve. |
hep-th/0605095 | Usman Saleem Mr | M. Siddiq and M. Hassan | On linearization of super sine-Gordon equation | 9 Pages | Europhys.Lett.70:149-154,2005 | 10.1209/epl/i2004-10475-y | null | hep-th | null | Two sets of super Riccati equations are presented which result in two linear
problems of super sine-Gordon equation. The linear problems are then shown to
be related to each other by a super gauge transformation and to the super
B\"{a}cklund transformation of the equation.
| [
{
"created": "Tue, 9 May 2006 11:42:46 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Siddiq",
"M.",
""
],
[
"Hassan",
"M.",
""
]
] | Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super B\"{a}cklund transformation of the equation. |
1404.1713 | Ludvig Faddeev | L. D. Faddeev | Zero modes for the quantum Liouville model | 14 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of definition of zero modes for quantum Liouville model is
discussed and corresponding Hilbert space representation is constructed.
| [
{
"created": "Mon, 7 Apr 2014 09:47:43 GMT",
"version": "v1"
}
] | 2014-04-08 | [
[
"Faddeev",
"L. D.",
""
]
] | The problem of definition of zero modes for quantum Liouville model is discussed and corresponding Hilbert space representation is constructed. |
hep-th/9506111 | Kirill N. Ilinski | A.V.Ilinskaia, K.N. Ilinski and J.M.F. Gunn | A Generalization of Haldane state-counting procedure and
$\pi$-deformations of statistics | 17 pages, latex, 6 figures small corrections were made, reference and
acknowledgments are added | Nucl.Phys. B458 (1996) 562-578 | 10.1016/0550-3213(95)00495-5 | null | hep-th cond-mat quant-ph | null | We consider the generalization of Haldane's state-counting procedure to
describe all possible types of exclusion statistics which are linear in the
deformation parameter $g$. The statistics are parametrized by elements of the
symmetric group of the particles in question. For several specific cases we
determine the form of the distribution functions which generalizes results
obtained by Wu. Using them we analyze the low-temperature behavior and
thermodynamic properties of these systems and compare our results with previous
studies of the thermodynamics of a gas of $g$-ons. Various possible physical
applications of these constructions are discussed.
| [
{
"created": "Sat, 17 Jun 1995 19:23:16 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 1995 15:01:00 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ilinskaia",
"A. V.",
""
],
[
"Ilinski",
"K. N.",
""
],
[
"Gunn",
"J. M. F.",
""
]
] | We consider the generalization of Haldane's state-counting procedure to describe all possible types of exclusion statistics which are linear in the deformation parameter $g$. The statistics are parametrized by elements of the symmetric group of the particles in question. For several specific cases we determine the form of the distribution functions which generalizes results obtained by Wu. Using them we analyze the low-temperature behavior and thermodynamic properties of these systems and compare our results with previous studies of the thermodynamics of a gas of $g$-ons. Various possible physical applications of these constructions are discussed. |
hep-th/0410183 | Thomas Strobl | Anton Alekseev and Thomas Strobl | Current Algebras and Differential Geometry | 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th
birthday. References and a new paragraph added | JHEP 0503 (2005) 035 | 10.1088/1126-6708/2005/03/035 | FSU-TPI-07/04 | hep-th math-ph math.DG math.MP | null | We show that symmetries and gauge symmetries of a large class of
2-dimensional sigma models are described by a new type of a current algebra.
The currents are labeled by pairs of a vector field and a 1-form on the target
space of the sigma model. We compute the current-current commutator and analyse
the anomaly cancellation condition, which can be interpreted geometrically in
terms of Dirac structures, previously studied in the mathematical literature.
Generalized complex structures correspond to decompositions of the current
algebra into pairs of anomaly free subalgebras. Sigma models that we can treat
with our method include both physical and topological examples, with and
without Wess-Zumino type terms.
| [
{
"created": "Mon, 18 Oct 2004 17:57:28 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 2005 16:07:28 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Alekseev",
"Anton",
""
],
[
"Strobl",
"Thomas",
""
]
] | We show that symmetries and gauge symmetries of a large class of 2-dimensional sigma models are described by a new type of a current algebra. The currents are labeled by pairs of a vector field and a 1-form on the target space of the sigma model. We compute the current-current commutator and analyse the anomaly cancellation condition, which can be interpreted geometrically in terms of Dirac structures, previously studied in the mathematical literature. Generalized complex structures correspond to decompositions of the current algebra into pairs of anomaly free subalgebras. Sigma models that we can treat with our method include both physical and topological examples, with and without Wess-Zumino type terms. |
1612.06446 | Oliver Schlotterer | John Joseph M. Carrasco, Carlos R. Mafra, Oliver Schlotterer | Semi-abelian Z-theory: NLSM+phi^3 from the open string | 27 pages, v2: published version | null | 10.1007/JHEP08(2017)135 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our investigation of Z-theory, the second double-copy component
of open-string tree-level interactions besides super-Yang-Mills (sYM). We show
that the amplitudes of the extended non-linear sigma model (NLSM) recently
considered by Cachazo, Cha, and Mizera are reproduced by the leading
alpha'-order of Z-theory amplitudes in the semi-abelian case. The extension
refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian
case involves to a partial symmetrization over one of the color orderings that
characterize the Z-theory amplitudes. Alternatively, the partial symmetrization
corresponds to a mixed interaction among abelian and non-abelian states in the
underlying open-superstring amplitude. We simplify these permutation sums via
monodromy relations which greatly increase the efficiency in extracting the
alpha'-expansion of these amplitudes. Their alpha'-corrections encode
higher-derivative interactions between NLSM pions and bi-colored scalars all of
which obey the duality between color and kinematics. Through double-copy, these
results can be used to generate the predictions of supersymmetric
Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete
tower of higher-order alpha'-corrections.
| [
{
"created": "Mon, 19 Dec 2016 22:31:06 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jun 2018 00:34:03 GMT",
"version": "v2"
}
] | 2018-06-21 | [
[
"Carrasco",
"John Joseph M.",
""
],
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading alpha'-order of Z-theory amplitudes in the semi-abelian case. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes. Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude. We simplify these permutation sums via monodromy relations which greatly increase the efficiency in extracting the alpha'-expansion of these amplitudes. Their alpha'-corrections encode higher-derivative interactions between NLSM pions and bi-colored scalars all of which obey the duality between color and kinematics. Through double-copy, these results can be used to generate the predictions of supersymmetric Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete tower of higher-order alpha'-corrections. |
hep-th/9811045 | Paulina Rychenkova | G.W.Gibbons and P.Rychenkova | Single-sided domain walls in M-theory | 38 pages, LaTeX | J.Geom.Phys.32:311-340,2000 | 10.1016/S0393-0440(99)00036-4 | DAMTP-1998-149 | hep-th | null | We describe some single-sided BPS domain wall configurations in M-theory.
These are smooth non-singular resolutions of Calabi--Yau orbifolds obtained by
identifying the two sides of the wall under reflection. They may thus be
thought of as domain walls at the end of the universe. We also describe related
domain wall type solutions with a negative cosmological constant.
| [
{
"created": "Wed, 4 Nov 1998 18:14:53 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Gibbons",
"G. W.",
""
],
[
"Rychenkova",
"P.",
""
]
] | We describe some single-sided BPS domain wall configurations in M-theory. These are smooth non-singular resolutions of Calabi--Yau orbifolds obtained by identifying the two sides of the wall under reflection. They may thus be thought of as domain walls at the end of the universe. We also describe related domain wall type solutions with a negative cosmological constant. |
1202.3696 | Diego Trancanelli | Mariano Chernicoff, Daniel Fernandez, David Mateos, Diego Trancanelli | Drag force in a strongly coupled anisotropic plasma | 25 pages, 13 figures; v2: minor changes, added references | JHEP 1208:100,2012 | 10.1007/JHEP08(2012)100 | DAMTP-2012-12, ICCUB-12-088, MAD-TH-12-01 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the drag force experienced by an infinitely massive quark
propagating at constant velocity through an anisotropic, strongly coupled N=4
plasma by means of its gravity dual. We find that the gluon cloud trailing
behind the quark is generally misaligned with the quark velocity, and that the
latter is also misaligned with the force. The drag coefficient $\mu$ can be
larger or smaller than the corresponding isotropic value depending on the
velocity and the direction of motion. In the ultra-relativistic limit we find
that generically $\mu \propto p$. We discuss the conditions under which this
behaviour may extend to more general situations.
| [
{
"created": "Thu, 16 Feb 2012 20:59:17 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2012 11:50:31 GMT",
"version": "v2"
}
] | 2012-11-14 | [
[
"Chernicoff",
"Mariano",
""
],
[
"Fernandez",
"Daniel",
""
],
[
"Mateos",
"David",
""
],
[
"Trancanelli",
"Diego",
""
]
] | We calculate the drag force experienced by an infinitely massive quark propagating at constant velocity through an anisotropic, strongly coupled N=4 plasma by means of its gravity dual. We find that the gluon cloud trailing behind the quark is generally misaligned with the quark velocity, and that the latter is also misaligned with the force. The drag coefficient $\mu$ can be larger or smaller than the corresponding isotropic value depending on the velocity and the direction of motion. In the ultra-relativistic limit we find that generically $\mu \propto p$. We discuss the conditions under which this behaviour may extend to more general situations. |
1611.03820 | Eduardo Folco Capossoli | Diego M. Rodrigues, Eduardo Folco Capossoli, and Henrique Boschi-Filho | Twist Two Operator Approach for Even Spin Glueball Masses and Pomeron
Regge Trajectory from the Hardwall Model | V.2: 15 pages, 2 tables, 2 figures. Text improved. New references
included. Typos corrected. Results unchanged. To appear in PRD | Phys. Rev. D 95, 076011 (2017) | 10.1103/PhysRevD.95.076011 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the masses of even spin glueball states $ J^{PC} $, with $ P=C=+1
$, using a twist two operator from an AdS/QCD model known as the hardwall
model, using Dirichlet and Neumann boundary conditions. Within this approach,
we found that the glueball masses are comparable with those in literature. From
these masses, we obtained the Pomeron Regge trajectories for both boundary
conditions in agreement with experimental data available and other holographic
models.
| [
{
"created": "Fri, 11 Nov 2016 19:19:11 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2017 00:05:34 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Rodrigues",
"Diego M.",
""
],
[
"Capossoli",
"Eduardo Folco",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | We compute the masses of even spin glueball states $ J^{PC} $, with $ P=C=+1 $, using a twist two operator from an AdS/QCD model known as the hardwall model, using Dirichlet and Neumann boundary conditions. Within this approach, we found that the glueball masses are comparable with those in literature. From these masses, we obtained the Pomeron Regge trajectories for both boundary conditions in agreement with experimental data available and other holographic models. |
0803.2526 | Mukund Rangamani | Sayantani Bhattacharyya, Veronika E Hubeny, R. Loganayagam, Gautam
Mandal, Shiraz Minwalla, Takeshi Morita, Mukund Rangamani, Harvey S. Reall | Local Fluid Dynamical Entropy from Gravity | Latex, 30 pages + 20 pages appendices. 3 eps figures. v2: typos
corrected | JHEP 0806:055,2008 | 10.1088/1126-6708/2008/06/055 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spacetime geometries dual to arbitrary fluid flows in strongly coupled N=4
super Yang Mills theory have recently been constructed perturbatively in the
long wavelength limit. We demonstrate that these geometries all have regular
event horizons, and determine the location of the horizon order by order in a
boundary derivative expansion. Intriguingly, the derivative expansion allows us
to determine the location of the event horizon in the bulk as a local function
of the fluid dynamical variables. We define a natural map from the boundary to
the horizon using ingoing null geodesics. The area-form on spatial sections of
the horizon can then be pulled back to the boundary to define a local entropy
current for the dual field theory in the hydrodynamic limit. The area theorem
of general relativity guarantees the positivity of the divergence of the
entropy current thus constructed.
| [
{
"created": "Mon, 17 Mar 2008 20:46:09 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Apr 2008 16:36:51 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Hubeny",
"Veronika E",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Morita",
"Takeshi",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Reall",
"Harvey S.",
""
]
] | Spacetime geometries dual to arbitrary fluid flows in strongly coupled N=4 super Yang Mills theory have recently been constructed perturbatively in the long wavelength limit. We demonstrate that these geometries all have regular event horizons, and determine the location of the horizon order by order in a boundary derivative expansion. Intriguingly, the derivative expansion allows us to determine the location of the event horizon in the bulk as a local function of the fluid dynamical variables. We define a natural map from the boundary to the horizon using ingoing null geodesics. The area-form on spatial sections of the horizon can then be pulled back to the boundary to define a local entropy current for the dual field theory in the hydrodynamic limit. The area theorem of general relativity guarantees the positivity of the divergence of the entropy current thus constructed. |
1811.09169 | Ian G. Moss | Thomas P. Billam, Ruth Gregory, Florent Michel, Ian G. Moss | Simulating seeded vacuum decay in a cold atom system | 5 Pages, 4 figures, new intro in v2 | Phys. Rev. D 100, 065016 (2019) | 10.1103/PhysRevD.100.065016 | null | hep-th astro-ph.CO cond-mat.quant-gas | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose to test the concept of seeded vacuum decay in cosmology using an
analogue gravity Bose-Einstein condensate system. The role of the nucleation
seed is played by a vortex within the condensate. We present two complementary
theoretical analyses that demonstrate seeded decay is the dominant decay
mechanism of the false vacuum. First, we adapt the standard instanton methods
to the Gross-Pitaevskii equation. Second, we use the truncated Wigner method to
study vacuum decay.
| [
{
"created": "Thu, 22 Nov 2018 13:37:27 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2019 13:34:53 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Billam",
"Thomas P.",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Michel",
"Florent",
""
],
[
"Moss",
"Ian G.",
""
]
] | We propose to test the concept of seeded vacuum decay in cosmology using an analogue gravity Bose-Einstein condensate system. The role of the nucleation seed is played by a vortex within the condensate. We present two complementary theoretical analyses that demonstrate seeded decay is the dominant decay mechanism of the false vacuum. First, we adapt the standard instanton methods to the Gross-Pitaevskii equation. Second, we use the truncated Wigner method to study vacuum decay. |
0804.3437 | Christopher Gauthier | Ratindranath Akhoury and Christopher S. Gauthier | Galactic Halos and Black Holes in Non-Canonical Scalar Field Theories | 15 pages, v2: references added, revised comments concerning the L ~
r^2 case | null | null | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider static spherically symmetric solutions of a general scalar field
theory with non-standard kinetic energy coupled to gravity with a view to
explain dark matter halos as a coherent state of the scalar field. Consistent
solutions are found with a smooth scalar profile which can describe observed
rotation curves. Some of the solutions have negative scalar energy density near
the origin though the total energy is positive definite. The solutions with
positive energy density everywhere have a steeper rotation curve near the
origin than those that don't. We also reconsider the no scalar hair theorems
for black holes with emphasis on asymptotic boundary conditions and
super-luminal propagation. Some modifications and extensions of previous
analyses are discussed.
| [
{
"created": "Tue, 22 Apr 2008 03:02:56 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2008 23:42:32 GMT",
"version": "v2"
}
] | 2008-06-04 | [
[
"Akhoury",
"Ratindranath",
""
],
[
"Gauthier",
"Christopher S.",
""
]
] | We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions are found with a smooth scalar profile which can describe observed rotation curves. Some of the solutions have negative scalar energy density near the origin though the total energy is positive definite. The solutions with positive energy density everywhere have a steeper rotation curve near the origin than those that don't. We also reconsider the no scalar hair theorems for black holes with emphasis on asymptotic boundary conditions and super-luminal propagation. Some modifications and extensions of previous analyses are discussed. |
hep-th/9603203 | Zwanzige | Daniel Zwanziger (New York University) | Lattice Coulomb Hamiltonian and Static Color-Coulomb Field | 110 pages + 1 fig., uuencoded compressed tar-file (190 kb) revised
and shortened for readability. Technical derivations relegated to appendices.
Concepts clarified in Introduction and Conclusion. One figure added | Nucl.Phys. B485 (1997) 185-240 | 10.1016/S0550-3213(96)00566-4 | NYU-ThPhZ11-95 | hep-th hep-lat | null | The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of
Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's
law is satisfied identically. The restriction to a fundamental modular region
(no Gribov copies) is implemented in an effective hamiltonian by the addition
of a "horizon function" $G$ to the lattice Coulomb-gauge hamiltonian. Its
coefficient $\gamma_0$ is a thermodynamic parameter that ultimately sets the
scale for hadronic mass, and which is related to the bare coupling constant
$g_0$ by a "horizon condition". This condition determines the low-momentum
behavior of the (ghost) propagator that transmits the instantaneous
longitudinal color-electric field, and thereby provides for a confinement-like
feature in leading order in a new weak-coupling expansion.
| [
{
"created": "Fri, 29 Mar 1996 22:29:09 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 1996 22:04:49 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Zwanziger",
"Daniel",
"",
"New York University"
]
] | The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a "horizon function" $G$ to the lattice Coulomb-gauge hamiltonian. Its coefficient $\gamma_0$ is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant $g_0$ by a "horizon condition". This condition determines the low-momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion. |
1106.1873 | Aram Saharian | A.A. Saharian | Casimir effect in de Sitter spacetime | 12 pages, 2 figures, talk presented at the 8th Alexander Friedmann
International Seminar on Gravitation and Cosmology, 30 May - 03 June, 2011,
Rio de Janeiro, Brazil | Int. J. Mod. Phys. A 26 (2011) 3833 | 10.1142/S0217751X11054292 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The vacuum expectation value of the energy-momentum tensor and the Casimir
forces are investigated for a massive scalar field with an arbitrary curvature
coupling parameter in the geometry of two parallel plates, on the background of
de Sitter spacetime. The field is prepared in the Bunch--Davies vacuum state
and is constrained to satisfy Robin boundary conditions on the plates. The
vacuum energy-momentum tensor is non-diagonal, with the off-diagonal component
corresponding to the energy flux along the direction normal to the plates. It
is shown that the curvature of the background spacetime decisively influences
the behavior of the Casimir forces at separations larger than the curvature
radius of de Sitter spacetime. In dependence of the curvature coupling
parameter and the mass of the field, two different regimes are realized, which
exhibit monotonic or oscillatory behavior of the forces. The decay of the
Casimir force at large plate separation is shown to be power-law, with
independence of the value of the field mass.
| [
{
"created": "Thu, 9 Jun 2011 18:37:11 GMT",
"version": "v1"
}
] | 2011-12-01 | [
[
"Saharian",
"A. A.",
""
]
] | The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de Sitter spacetime. The field is prepared in the Bunch--Davies vacuum state and is constrained to satisfy Robin boundary conditions on the plates. The vacuum energy-momentum tensor is non-diagonal, with the off-diagonal component corresponding to the energy flux along the direction normal to the plates. It is shown that the curvature of the background spacetime decisively influences the behavior of the Casimir forces at separations larger than the curvature radius of de Sitter spacetime. In dependence of the curvature coupling parameter and the mass of the field, two different regimes are realized, which exhibit monotonic or oscillatory behavior of the forces. The decay of the Casimir force at large plate separation is shown to be power-law, with independence of the value of the field mass. |
2308.02392 | Dmitrii Trunin | Dmitrii A. Trunin | Refined quantum Lyapunov exponents from replica out-of-time-order
correlators | 46 pages, 12 figures. v3: few amendments made | Phys. Rev. D 108, 105023 (2023) | 10.1103/PhysRevD.108.105023 | null | hep-th cond-mat.stat-mech nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a new indicator of quantum chaos based on the logarithmic
out-of-time-order correlator. On the one hand, this indicator correctly
reproduces the average classical Lyapunov exponent in the semiclassical limit
and directly links the definitions of quantum chaos and classical K-system. On
the other hand, it can be analytically calculated using the replica trick and
the Schwinger-Keldysh diagram technique on a $2n$-fold Keldysh contour. To
illustrate this approach, we consider several one-dimensional systems,
including the quantum cat map, and three paradigmatic large-$N$ models,
including the Sachdev-Ye-Kitaev model. Furthermore, we find that correlations
between replicas can reduce the magnitude of the Lyapunov exponent compared to
estimates based on conventional out-of-time-order correlators.
| [
{
"created": "Fri, 4 Aug 2023 15:45:03 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Aug 2023 09:35:20 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Nov 2023 18:29:36 GMT",
"version": "v3"
}
] | 2023-12-01 | [
[
"Trunin",
"Dmitrii A.",
""
]
] | We suggest a new indicator of quantum chaos based on the logarithmic out-of-time-order correlator. On the one hand, this indicator correctly reproduces the average classical Lyapunov exponent in the semiclassical limit and directly links the definitions of quantum chaos and classical K-system. On the other hand, it can be analytically calculated using the replica trick and the Schwinger-Keldysh diagram technique on a $2n$-fold Keldysh contour. To illustrate this approach, we consider several one-dimensional systems, including the quantum cat map, and three paradigmatic large-$N$ models, including the Sachdev-Ye-Kitaev model. Furthermore, we find that correlations between replicas can reduce the magnitude of the Lyapunov exponent compared to estimates based on conventional out-of-time-order correlators. |
hep-th/0310246 | Florian Conrady | Florian Conrady (Rome U. & Potsdam, Max Planck Inst.), Carlo Rovelli
(Rome U. & CPT Marseille) | Generalized Schroedinger equation in Euclidean field theory | 25 pages, 11 figures | Int.J.Mod.Phys. A19 (2004) 4037-4068 | 10.1142/S0217751X04019445 | AEI-2003-088 | hep-th | null | We investigate the idea of a "general boundary" formulation of quantum field
theory in the context of the Euclidean free scalar field. We propose a precise
definition for an evolution kernel that propagates the field through arbitrary
spacetime regions. We show that this kernel satisfies an evolution equation
which governs its dependence on deformations of the boundary surface and
generalizes the ordinary (Euclidean) Schroedinger equation. We also derive the
classical counterpart of this equation, which is a Hamilton-Jacobi equation for
general boundary surfaces.
| [
{
"created": "Mon, 27 Oct 2003 18:54:34 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Conrady",
"Florian",
"",
"Rome U. & Potsdam, Max Planck Inst."
],
[
"Rovelli",
"Carlo",
"",
"Rome U. & CPT Marseille"
]
] | We investigate the idea of a "general boundary" formulation of quantum field theory in the context of the Euclidean free scalar field. We propose a precise definition for an evolution kernel that propagates the field through arbitrary spacetime regions. We show that this kernel satisfies an evolution equation which governs its dependence on deformations of the boundary surface and generalizes the ordinary (Euclidean) Schroedinger equation. We also derive the classical counterpart of this equation, which is a Hamilton-Jacobi equation for general boundary surfaces. |
hep-th/0509185 | Osvaldo Chandia | Osvaldo Chandia | D=4 Pure Spinor Superstring and N=2 Strings | Reference added and minor corrections | JHEP0510:105,2005 | 10.1088/1126-6708/2005/10/105 | null | hep-th | null | We study the compactification of the pure spinor superstring down to four
dimensions. We find that the compactified string is described by a conformal
invariant system for both the four dimensional and for the compact six
dimensional variables. The four dimensional sector is found to be invariant
under a non-critical N=2 superconformal transformations.
| [
{
"created": "Fri, 23 Sep 2005 20:41:56 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2005 15:08:01 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Chandia",
"Osvaldo",
""
]
] | We study the compactification of the pure spinor superstring down to four dimensions. We find that the compactified string is described by a conformal invariant system for both the four dimensional and for the compact six dimensional variables. The four dimensional sector is found to be invariant under a non-critical N=2 superconformal transformations. |
1312.0610 | Mukund Rangamani | Felix M. Haehl, R. Loganayagam, Mukund Rangamani | Effective actions for anomalous hydrodynamics | 62 pages incl appendices. 3 figures. v2: added refs. v3: fixed typos.
published version | null | 10.1007/JHEP03(2014)034 | DCPT-13/41 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that an effective field theory of local fluid elements captures the
constraints on hydrodynamic transport stemming from the presence of quantum
anomalies in the underlying microscopic theory. Focussing on global current
anomalies for an arbitrary flavour group, we derive the anomalous constitutive
relations in arbitrary even dimensions. We demonstrate that our results agree
with the constraints on anomaly governed transport derived hitherto using a
local version of the second law of thermodynamics. The construction crucially
uses the anomaly inflow mechanism and involves a novel thermofield double
construction. In particular, we show that the anomalous Ward identities
necessitate non-trivial interaction between the two parts of the
Schwinger-Keldysh contour.
| [
{
"created": "Mon, 2 Dec 2013 21:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 2013 21:29:55 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Mar 2014 13:22:29 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Haehl",
"Felix M.",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbitrary flavour group, we derive the anomalous constitutive relations in arbitrary even dimensions. We demonstrate that our results agree with the constraints on anomaly governed transport derived hitherto using a local version of the second law of thermodynamics. The construction crucially uses the anomaly inflow mechanism and involves a novel thermofield double construction. In particular, we show that the anomalous Ward identities necessitate non-trivial interaction between the two parts of the Schwinger-Keldysh contour. |
hep-th/0604175 | Nick Dorey | Nick Dorey | Magnon Bound States and the AdS/CFT Correspondence | LaTeX File, 14 Pages. Minor improvements and corrected references | J.Phys.A39:13119-13128,2006 | 10.1088/0305-4470/39/41/S18 | null | hep-th | null | We study the spectrum of asymptotic states in the spin-chain description of
planar N=4 SUSY Yang-Mills. In addition to elementary magnons, the asymptotic
spectrum includes an infinite tower of multi-magnon bound states with exact
dispersion relation, Delta-J_{1} = sqrt{Q^{2}+(lambda/pi^2)sin^2(p/2)}, where
the positive integer Q is the number of constituent magnons. These states
account precisely for the known poles in the exact S-matrix. Like the
elementary magnon, they transform in small representations of supersymmetry and
are present for all values of the 't Hooft coupling. At strong coupling we
identify the dual states in semiclassical string theory.
| [
{
"created": "Mon, 24 Apr 2006 17:44:21 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2006 12:44:52 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Dorey",
"Nick",
""
]
] | We study the spectrum of asymptotic states in the spin-chain description of planar N=4 SUSY Yang-Mills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multi-magnon bound states with exact dispersion relation, Delta-J_{1} = sqrt{Q^{2}+(lambda/pi^2)sin^2(p/2)}, where the positive integer Q is the number of constituent magnons. These states account precisely for the known poles in the exact S-matrix. Like the elementary magnon, they transform in small representations of supersymmetry and are present for all values of the 't Hooft coupling. At strong coupling we identify the dual states in semiclassical string theory. |
1804.09694 | Guglielmo Lockhart | Michele Del Zotto and Guglielmo Lockhart | Universal Features of BPS Strings in Six-dimensional SCFTs | 199+1 pages; v3: references added, some typos corrected; version to
appear on JHEP | null | 10.1007/JHEP08(2018)173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In theories with extended supersymmetry the protected observables of UV
superconformal fixed points are found in a number of contexts to be encoded in
the BPS solitons along an IR Coulomb-like phase. For six-dimensional SCFTs such
a role is played by the BPS strings on the tensorial Coulomb branch. In this
paper we develop a uniform description of the worldsheet theories of a BPS
string for rank-one 6d SCFTs. These strings are the basic constituents of the
BPS string spectrum of arbitrary rank six-dimensional models, which they
generate by forming bound states. Motivated by geometric engineering in
F-theory, we describe the worldsheet theories of the BPS strings in terms of
topologically twisted 4d $\mathcal{N}=2$ theories in the presence of $1/2$-BPS
2d $(0,4)$ defects. As the superconformal point of a 6d theory with gauge group
$G$ is approached, the resulting worldsheet theory flows to an
$\mathcal{N}=(0,4)$ NLSM with target the moduli space of one $G$ instanton,
together with a nontrivial left moving bundle characterized by the matter
content of the six-dimensional model. We compute the anomaly polynomial and
central charges of the NLSM, and argue that the 6d flavor symmetry $F$ is
realized as a current algebra on the string, whose level we compute. We find
evidence that for generic theories the $G$ dependence is captured at the level
of the elliptic genus by characters of an affine Kac-Moody algebra at negative
level, which we interpret as a subsector of the chiral algebra of the BPS
string worldsheet theory. We also find evidence for a spectral flow relating
the R-R and NS-R elliptic genera. These properties of the string CFTs lead to
constraints on their spectra, which in combination with modularity allow us to
determine the elliptic genera of a vast number of string CFTs, leading also to
novel results for 6d and 5d instanton partition functions.
| [
{
"created": "Wed, 25 Apr 2018 17:42:20 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2018 09:27:28 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Aug 2018 14:34:10 GMT",
"version": "v3"
}
] | 2018-09-26 | [
[
"Del Zotto",
"Michele",
""
],
[
"Lockhart",
"Guglielmo",
""
]
] | In theories with extended supersymmetry the protected observables of UV superconformal fixed points are found in a number of contexts to be encoded in the BPS solitons along an IR Coulomb-like phase. For six-dimensional SCFTs such a role is played by the BPS strings on the tensorial Coulomb branch. In this paper we develop a uniform description of the worldsheet theories of a BPS string for rank-one 6d SCFTs. These strings are the basic constituents of the BPS string spectrum of arbitrary rank six-dimensional models, which they generate by forming bound states. Motivated by geometric engineering in F-theory, we describe the worldsheet theories of the BPS strings in terms of topologically twisted 4d $\mathcal{N}=2$ theories in the presence of $1/2$-BPS 2d $(0,4)$ defects. As the superconformal point of a 6d theory with gauge group $G$ is approached, the resulting worldsheet theory flows to an $\mathcal{N}=(0,4)$ NLSM with target the moduli space of one $G$ instanton, together with a nontrivial left moving bundle characterized by the matter content of the six-dimensional model. We compute the anomaly polynomial and central charges of the NLSM, and argue that the 6d flavor symmetry $F$ is realized as a current algebra on the string, whose level we compute. We find evidence that for generic theories the $G$ dependence is captured at the level of the elliptic genus by characters of an affine Kac-Moody algebra at negative level, which we interpret as a subsector of the chiral algebra of the BPS string worldsheet theory. We also find evidence for a spectral flow relating the R-R and NS-R elliptic genera. These properties of the string CFTs lead to constraints on their spectra, which in combination with modularity allow us to determine the elliptic genera of a vast number of string CFTs, leading also to novel results for 6d and 5d instanton partition functions. |
1208.1658 | Daniel Grumiller | Arjun Bagchi, Stephane Detournay, Daniel Grumiller | Flat-Space Chiral Gravity | 5 pages, v2: minor rearrangements | Phys. Rev. Lett. 109 (2012) 151301 | 10.1103/PhysRevLett.109.151301 | EMPG-12-21; TUW-12-20 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the first evidence for a holographic correspondence between a
gravitational theory in flat space and a specific unitary field theory in one
dimension lower. The gravitational theory is a flat-space limit of
topologically massive gravity in three dimensions at Chern-Simons level k=1.
The field theory is a chiral two-dimensional conformal field theory with
central charge c=24.
| [
{
"created": "Wed, 8 Aug 2012 13:18:47 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2012 09:19:17 GMT",
"version": "v2"
}
] | 2012-10-12 | [
[
"Bagchi",
"Arjun",
""
],
[
"Detournay",
"Stephane",
""
],
[
"Grumiller",
"Daniel",
""
]
] | We provide the first evidence for a holographic correspondence between a gravitational theory in flat space and a specific unitary field theory in one dimension lower. The gravitational theory is a flat-space limit of topologically massive gravity in three dimensions at Chern-Simons level k=1. The field theory is a chiral two-dimensional conformal field theory with central charge c=24. |
hep-th/0502227 | Hong Liu | Luis Alvarez-Gaume, Cesar Gomez, Hong Liu, Spenta Wadia | Finite temperature effective action, AdS_5 black holes, and 1/N
expansion | 41 pages, 3 eps figures, uses harvmac | Phys.Rev. D71 (2005) 124023 | 10.1103/PhysRevD.71.124023 | CERN-PH-TH/04-251, IFT/05/11, MIT-CTP-3591, TIFR/TH/05-03 | hep-th gr-qc | null | We propose a phenomenological matrix model to study string theory in AdS_5
\times S_5 in the canonical ensemble. The model reproduces all the known
qualitative features of the theory. In particular, it gives a simple effective
potential description of Euclidean black hole nucleation and the tunnelling
between thermal AdS and the big black hole. It also has some interesting
predictions. We find that there exists a critical temperature at which the
Euclidean small black hole undergoes a Gross-Witten phase transition. We
identify the phase transition with the Horowitz-Polchinski point where the
black hole horizon size becomes comparable to the string scale. The appearance
of the Hagedorn divergence of thermal AdS is due to the merger of saddle points
corresponding to the Euclidean small black hole and thermal AdS. The merger can
be described in terms of a cusp (A_3) catastrophe and divergences at the
perturbative string level are smoothed out at finite string coupling using
standard techniques of catastrophe theory.
| [
{
"created": "Mon, 28 Feb 2005 19:54:27 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Liu",
"Hong",
""
],
[
"Wadia",
"Spenta",
""
]
] | We propose a phenomenological matrix model to study string theory in AdS_5 \times S_5 in the canonical ensemble. The model reproduces all the known qualitative features of the theory. In particular, it gives a simple effective potential description of Euclidean black hole nucleation and the tunnelling between thermal AdS and the big black hole. It also has some interesting predictions. We find that there exists a critical temperature at which the Euclidean small black hole undergoes a Gross-Witten phase transition. We identify the phase transition with the Horowitz-Polchinski point where the black hole horizon size becomes comparable to the string scale. The appearance of the Hagedorn divergence of thermal AdS is due to the merger of saddle points corresponding to the Euclidean small black hole and thermal AdS. The merger can be described in terms of a cusp (A_3) catastrophe and divergences at the perturbative string level are smoothed out at finite string coupling using standard techniques of catastrophe theory. |
hep-th/9804125 | Eric D'Hoker | E. D'Hoker and D.H. Phong | Calogero-Moser and Toda Systems for Twisted and Untwisted Affine Lie
Algebras | 34 pages, Plain TeX, minor typos corrected | Nucl.Phys. B530 (1998) 611-640 | 10.1016/S0550-3213(98)00569-0 | UCLA/98/TEP/10 | hep-th nlin.SI solv-int | null | The elliptic Calogero-Moser Hamiltonian and Lax pair associated with a
general simple Lie algebra $\G$ are shown to scale to the (affine) Toda
Hamiltonian and Lax pair. The limit consists in taking the elliptic modulus
$\tau$ and the Calogero-Moser couplings $m$ to infinity, while keeping fixed
the combination $M = m e^{i \pi \delta \tau}$ for some exponent $\delta$.
Critical scaling limits arise when $1/\delta$ equals the Coxeter number or the
dual Coxeter number for the untwisted and twisted Calogero-Moser systems
respectively; the limit consists then of the Toda system for the affine Lie
algebras $\G^{(1)}$ and $(\G ^{(1)})^\vee$. The limits of the untwisted or
twisted Calogero-Moser system, for $\delta$ less than these critical values,
but non-zero, consists of the ordinary Toda system, while for $\delta =0$, it
consists of the trigonometric Calogero-Moser systems for the algebras $\G$ and
$\G^\vee$ respectively.
| [
{
"created": "Sun, 19 Apr 1998 18:36:52 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 1998 21:39:06 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"D'Hoker",
"E.",
""
],
[
"Phong",
"D. H.",
""
]
] | The elliptic Calogero-Moser Hamiltonian and Lax pair associated with a general simple Lie algebra $\G$ are shown to scale to the (affine) Toda Hamiltonian and Lax pair. The limit consists in taking the elliptic modulus $\tau$ and the Calogero-Moser couplings $m$ to infinity, while keeping fixed the combination $M = m e^{i \pi \delta \tau}$ for some exponent $\delta$. Critical scaling limits arise when $1/\delta$ equals the Coxeter number or the dual Coxeter number for the untwisted and twisted Calogero-Moser systems respectively; the limit consists then of the Toda system for the affine Lie algebras $\G^{(1)}$ and $(\G ^{(1)})^\vee$. The limits of the untwisted or twisted Calogero-Moser system, for $\delta$ less than these critical values, but non-zero, consists of the ordinary Toda system, while for $\delta =0$, it consists of the trigonometric Calogero-Moser systems for the algebras $\G$ and $\G^\vee$ respectively. |
2108.11962 | Damian van de Heisteeg | Brice Bastian, Thomas W. Grimm, Damian van de Heisteeg | Engineering Small Flux Superpotentials and Mass Hierarchies | 23 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stabilization of complex structure moduli in Type IIB flux
compactifications by using recent general results about the form of the
superpotential and K\"ahler potential near the boundaries of the moduli space.
In this process we show how vacua with an exponentially small vacuum
superpotential can be realized systematically and understood conceptually
within asymptotic Hodge theory. We distinguish two types of vacua realizing
such superpotentials that differ by the mass scales of the stabilized moduli.
Masses polynomially depending on the moduli arise if the superpotential
contains exponential corrections whose existence is required to ensure the
non-degeneracy of the moduli space metric. We use the fact that such essential
corrections are controlled by asymptotic Hodge theory and have recently been
constructed for all one- and two-moduli asymptotic regimes. These insights
allow us to obtain new vacua near boundaries in complex structure moduli space
that include Seiberg-Witten points. In these examples we find that the scale of
the vacuum superpotential can be bounded from below through the exponential of
the negative D3-brane tadpole.
| [
{
"created": "Thu, 26 Aug 2021 18:00:01 GMT",
"version": "v1"
}
] | 2021-08-30 | [
[
"Bastian",
"Brice",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"van de Heisteeg",
"Damian",
""
]
] | We study the stabilization of complex structure moduli in Type IIB flux compactifications by using recent general results about the form of the superpotential and K\"ahler potential near the boundaries of the moduli space. In this process we show how vacua with an exponentially small vacuum superpotential can be realized systematically and understood conceptually within asymptotic Hodge theory. We distinguish two types of vacua realizing such superpotentials that differ by the mass scales of the stabilized moduli. Masses polynomially depending on the moduli arise if the superpotential contains exponential corrections whose existence is required to ensure the non-degeneracy of the moduli space metric. We use the fact that such essential corrections are controlled by asymptotic Hodge theory and have recently been constructed for all one- and two-moduli asymptotic regimes. These insights allow us to obtain new vacua near boundaries in complex structure moduli space that include Seiberg-Witten points. In these examples we find that the scale of the vacuum superpotential can be bounded from below through the exponential of the negative D3-brane tadpole. |
2102.06651 | Alexey Milekhin | Alexey Milekhin | Coupled Sachdev-Ye-Kitaev models without Schwartzian dominance | 6+1 pages, 4 figures | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that in certain class of coupled Sachdev-Ye-Kitaev(SYK) models the
low energy physics at large N is governed by a non-local action rather than the
Schwartzian action. We present a partial analytic and extensive numerical
evidence for this. We find that these models are maximally chaotic and have the
same residual entropy as Majorana SYK. However, thermodynamic quantities, such
as heat capacity and diffusion constant are different.
| [
{
"created": "Fri, 12 Feb 2021 17:46:43 GMT",
"version": "v1"
}
] | 2021-02-15 | [
[
"Milekhin",
"Alexey",
""
]
] | We argue that in certain class of coupled Sachdev-Ye-Kitaev(SYK) models the low energy physics at large N is governed by a non-local action rather than the Schwartzian action. We present a partial analytic and extensive numerical evidence for this. We find that these models are maximally chaotic and have the same residual entropy as Majorana SYK. However, thermodynamic quantities, such as heat capacity and diffusion constant are different. |
1412.3736 | Shyamoli Chaudhuri Plassmann | Shyamoli Chaudhuri | Euclidean Time Formulation for the Superstring Ensembles: Perturbative
Canonical Ensemble with Neveu-Schwarz B Field Backgrounds | 52 pages | Phys. Rev. D90 126005 (2014) | 10.1103/PhysRevD.90.126005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The lengthy discussion and derivations given in this paper have been
corrected, and completed with additional results and greater simplicity. We
show that the high temperature limits of the heterotic E8xE8 and Spin(32)/Z2
strings and their Type I A/B superstring duals are finite and convergent. The
Hagedorn growth of the degeneracies in the string mass level expansion is
suppressed by an exponential linear in the mass level number for both heterotic
strings, and suppressed by the exponential of the negative square root of the
mass level number for the Type IB superstring. However, in the massless gauge
field theoretic limit of the Type IB open and closed superstring, we find clear
evidence for the thermal deconfinement phase transition at the self-dual
temperature by examining the annulus graph alone. Above the self-dual
temperature, there is a discontinuity in the first derivative with respect to
temperature of both the free energy, and the heavy quark potential, leading to
a deconfined thermal gluon ensemble, with universal 1/r potential, and
temperature dependent corrections, as predicted by Luscher and Weisz. A number
of essential aspects of the worldsheet formalism of the heterotic strings are
derived in an appendix, deducing thereby the O8-D0-D8brane Type IA duals of all
of the heterotic CHL island universe moduli spaces.
| [
{
"created": "Thu, 11 Dec 2014 17:35:21 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2018 18:45:30 GMT",
"version": "v2"
}
] | 2018-03-28 | [
[
"Chaudhuri",
"Shyamoli",
""
]
] | The lengthy discussion and derivations given in this paper have been corrected, and completed with additional results and greater simplicity. We show that the high temperature limits of the heterotic E8xE8 and Spin(32)/Z2 strings and their Type I A/B superstring duals are finite and convergent. The Hagedorn growth of the degeneracies in the string mass level expansion is suppressed by an exponential linear in the mass level number for both heterotic strings, and suppressed by the exponential of the negative square root of the mass level number for the Type IB superstring. However, in the massless gauge field theoretic limit of the Type IB open and closed superstring, we find clear evidence for the thermal deconfinement phase transition at the self-dual temperature by examining the annulus graph alone. Above the self-dual temperature, there is a discontinuity in the first derivative with respect to temperature of both the free energy, and the heavy quark potential, leading to a deconfined thermal gluon ensemble, with universal 1/r potential, and temperature dependent corrections, as predicted by Luscher and Weisz. A number of essential aspects of the worldsheet formalism of the heterotic strings are derived in an appendix, deducing thereby the O8-D0-D8brane Type IA duals of all of the heterotic CHL island universe moduli spaces. |
hep-th/9810103 | Sailer Kornel | I. Lovas (1), K. Sailer (1), and W. Greiner (2) ((1) Kossuth
University, Debrecen, (2) Goethe University, Frankfurt am Main) | Generalized Rarita-Schwinger Equations | LaTex, 12 pages, to be published in Acta Phys. Hung.: Heavy Ion Phys | null | null | KLTE-DTP/1998/1 | hep-th | null | The Rarita-Schwinger equations are generalised for the delta baryon having
spin 3/2 and isospin 3/2.
The coupling of the nucleon and the delta fields is studied. A possible
generalisation of the Walecka model is proposed.
| [
{
"created": "Wed, 14 Oct 1998 14:32:40 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Lovas",
"I.",
""
],
[
"Sailer",
"K.",
""
],
[
"Greiner",
"W.",
""
]
] | The Rarita-Schwinger equations are generalised for the delta baryon having spin 3/2 and isospin 3/2. The coupling of the nucleon and the delta fields is studied. A possible generalisation of the Walecka model is proposed. |
2304.13186 | Valery N. Marachevsky | Valery N. Marachevsky and Arseny A. Sidelnikov | Casimir-Polder interaction with Chern-Simons boundary layers | 31 pages, 4 figures | Physical Review D 107, 105019 (2023) | 10.1103/PhysRevD.107.105019 | null | hep-th cond-mat.other hep-ex quant-ph | http://creativecommons.org/licenses/by/4.0/ | Green functions scattering method is generalized to consider mixing of
electromagnetic polarizations after reflection from the plane boundary between
different media and applied to derivation of the Casimir-Polder potential in
systems with Chern-Simons plane boundary layers. The method is first applied to
derive the Casimir-Polder potential of an anisotropic atom in the presence of a
Chern-Simons plane boundary layer on a dielectric half-space. Then a general
result for the Casimir-Polder potential of an anisotropic atom between two
dielectric half-spaces with Chern-Simons plane parallel boundary layers is
derived. The Casimir-Polder potential of an anisotropic atom between two
Chern-Simons plane parallel layers in vacuum is expressed through special
functions. Novel P-odd three-body vacuum effects are discovered and analyzed in
the system of two Chern-Simons plane parallel layers and a neutral atom in its
ground state between the layers. Remarkably, P-odd three-body vacuum effects
arising due to 180 degree rotation of one of the Chern-Simons layers can be
verified in experiments with neutral atoms having QED dipole interaction with
an electromagnetic field.
| [
{
"created": "Tue, 25 Apr 2023 22:55:38 GMT",
"version": "v1"
}
] | 2023-05-23 | [
[
"Marachevsky",
"Valery N.",
""
],
[
"Sidelnikov",
"Arseny A.",
""
]
] | Green functions scattering method is generalized to consider mixing of electromagnetic polarizations after reflection from the plane boundary between different media and applied to derivation of the Casimir-Polder potential in systems with Chern-Simons plane boundary layers. The method is first applied to derive the Casimir-Polder potential of an anisotropic atom in the presence of a Chern-Simons plane boundary layer on a dielectric half-space. Then a general result for the Casimir-Polder potential of an anisotropic atom between two dielectric half-spaces with Chern-Simons plane parallel boundary layers is derived. The Casimir-Polder potential of an anisotropic atom between two Chern-Simons plane parallel layers in vacuum is expressed through special functions. Novel P-odd three-body vacuum effects are discovered and analyzed in the system of two Chern-Simons plane parallel layers and a neutral atom in its ground state between the layers. Remarkably, P-odd three-body vacuum effects arising due to 180 degree rotation of one of the Chern-Simons layers can be verified in experiments with neutral atoms having QED dipole interaction with an electromagnetic field. |
hep-th/0609033 | Ralf Hofmann | Ralf Hofmann | Loop expansion in Yang-Mills thermodynamics | 15 pages, 2 figures, v5: discussion of much more severely constrained
nonplanar situation included in Sec. 4 | Brazilian Journal of Physics, vol. 42, issue 1, 110-119 (2012) | 10.1007/s13538-012-0062-5 | HD-THEP-06-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that a selfconsistent spatial coarse-graining, which involves
interacting (anti)calorons of unit topological charge modulus, implies that
real-time loop expansions of thermodynamical quantities in the deconfining
phase of SU(2) and SU(3) Yang-Mills thermodynamics are, modulo 1PI
resummations, determined by a finite number of connected bubble diagrams.
| [
{
"created": "Tue, 5 Sep 2006 12:51:37 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Oct 2006 13:45:46 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Nov 2006 08:49:43 GMT",
"version": "v3"
},
{
"created": "Mon, 7 May 2007 12:52:02 GMT",
"version": "v4"
},
{
"created": "Thu, 5 Nov 2009 08:13:32 GMT",
"version": "v5"
}
] | 2015-06-26 | [
[
"Hofmann",
"Ralf",
""
]
] | We argue that a selfconsistent spatial coarse-graining, which involves interacting (anti)calorons of unit topological charge modulus, implies that real-time loop expansions of thermodynamical quantities in the deconfining phase of SU(2) and SU(3) Yang-Mills thermodynamics are, modulo 1PI resummations, determined by a finite number of connected bubble diagrams. |
2407.05821 | Biswajit Paul | Kawaljeet Kaur, Biswajit Paul | $\mathcal{PT}$-symmetry of Particle mixing theories and the equation of
motion matrix | 8 pages, Latex | null | null | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | A non-Hermitian complex scalar field model is considered from its $\mc{PT}$
symmetric aspect. A matrix constructed from the Euler-Lagrange equations of
motion is utilized to analyze the states of the model. The model has two mass
terms which determine the real or complex nature of the eigen values. A
mismatch is found in the Lagrange equations of motion of the fields as the
equations do not agree with the other after complex conjugation of the either.
This is resolved by exploiting a preferred similarity transformation of the
Lagrangian. The discrepancy even at the Hamiltonian level is found to have
vanished once we consider the similarity transformed Hamiltonian.
| [
{
"created": "Mon, 8 Jul 2024 11:02:03 GMT",
"version": "v1"
}
] | 2024-07-09 | [
[
"Kaur",
"Kawaljeet",
""
],
[
"Paul",
"Biswajit",
""
]
] | A non-Hermitian complex scalar field model is considered from its $\mc{PT}$ symmetric aspect. A matrix constructed from the Euler-Lagrange equations of motion is utilized to analyze the states of the model. The model has two mass terms which determine the real or complex nature of the eigen values. A mismatch is found in the Lagrange equations of motion of the fields as the equations do not agree with the other after complex conjugation of the either. This is resolved by exploiting a preferred similarity transformation of the Lagrangian. The discrepancy even at the Hamiltonian level is found to have vanished once we consider the similarity transformed Hamiltonian. |
2303.04575 | Ting Zhang | Xiang-Mao Ding and Tinglyer Zhang | Bethe/Gauge Correspondence for linear quiver theories with ABCD gauge
symmetry and spin chains | 30 pages,0 figures, v2: added a subsection in section 4 and fixed
typos, accepted by NPB | null | 10.1016/j.nuclphysb.2023.116222 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This note is an extension of [DZ23] there the supersymmetric vacua of
three-dimensional $\mathcal{N}=2$ gauge theories with matter are shown to be in
one-to-one correspondence with the eigenstate of $\text{XXZ}$ integrable spin
chain Hamiltonians with open boundary conditions. We consider the $A_{2}$
quiver gauge theory, which is the simplest non-trivial quiver gauge theory, and
$sl_{3}$ open $\text{XXZ}$ spin chain with diagonal boundary condition. We
demonstrate the correspondence between the vacuum equations of different gauge
groups and Bethe Ansatz equations with different boundary parameters. Not only
that, but we furthermore push forward the program to the general $A_{r}$ quiver
gauge theory.
| [
{
"created": "Wed, 8 Mar 2023 13:41:29 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2023 11:35:41 GMT",
"version": "v2"
}
] | 2023-05-24 | [
[
"Ding",
"Xiang-Mao",
""
],
[
"Zhang",
"Tinglyer",
""
]
] | This note is an extension of [DZ23] there the supersymmetric vacua of three-dimensional $\mathcal{N}=2$ gauge theories with matter are shown to be in one-to-one correspondence with the eigenstate of $\text{XXZ}$ integrable spin chain Hamiltonians with open boundary conditions. We consider the $A_{2}$ quiver gauge theory, which is the simplest non-trivial quiver gauge theory, and $sl_{3}$ open $\text{XXZ}$ spin chain with diagonal boundary condition. We demonstrate the correspondence between the vacuum equations of different gauge groups and Bethe Ansatz equations with different boundary parameters. Not only that, but we furthermore push forward the program to the general $A_{r}$ quiver gauge theory. |
hep-th/9707150 | Phillial Oh | Phillial Oh | Bogomol'nyi Solitons and Hermitian Symmetric Spaces | 10 pages, 2 ps figures, Latex, A revised version to be published in
Reports on Mathematical Physics | Rept.Math.Phys.43:271-281,1999 | 10.1016/S0034-4877(99)80035-4 | SNUTP/97-096 | hep-th | null | We apply the coadjoint orbit method to construct relativistic nonlinear sigma
models (NLSM) on the target space of coadjoint orbits coupled with the
Chern-Simons (CS) gauge field and study self-dual solitons. When the target
space is given by Hermitian symmetric space (HSS), we find that the system
admits self-dual solitons whose energy is Bogomol'nyi bounded from below by a
topological charge. The Bogomol'nyi potential on the Hermitian symmetric space
is obtained in the case when the maximal torus subgroup is gauged, and the
self-dual equation in the $CP(N-1)$ case is explored. We also discuss the
self-dual solitons in the non-compact $SU(1,1)$ case and present a detailed
analysis for the rotationally symmetric solutions.
| [
{
"created": "Thu, 17 Jul 1997 02:13:15 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 1998 10:36:42 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Oct 1998 06:34:11 GMT",
"version": "v3"
}
] | 2011-04-15 | [
[
"Oh",
"Phillial",
""
]
] | We apply the coadjoint orbit method to construct relativistic nonlinear sigma models (NLSM) on the target space of coadjoint orbits coupled with the Chern-Simons (CS) gauge field and study self-dual solitons. When the target space is given by Hermitian symmetric space (HSS), we find that the system admits self-dual solitons whose energy is Bogomol'nyi bounded from below by a topological charge. The Bogomol'nyi potential on the Hermitian symmetric space is obtained in the case when the maximal torus subgroup is gauged, and the self-dual equation in the $CP(N-1)$ case is explored. We also discuss the self-dual solitons in the non-compact $SU(1,1)$ case and present a detailed analysis for the rotationally symmetric solutions. |
1307.1203 | Tomohiko Takahashi | Isao Kishimoto, Tomohiko Takahashi | Gauge Invariant Overlaps for Identity-Based Marginal Solutions | 12 pages; v2:minor corrections | null | 10.1093/ptep/ptt073 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate identity-based solutions associated with marginal deformations
in open string field theory. We find that the identity-based marginal solutions
can be represented as a difference of wedge-based solutions plus an integration
of a deformed BRST exact state. Using this expression, the gauge invariant
overlap can be calculated analytically for the identity-based solutions.
Moreover, we show that, by gauge transformation, the overlap is transformed
into a disk correlation function with the integrations of currents at the
boundary.
| [
{
"created": "Thu, 4 Jul 2013 05:06:06 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2013 06:16:27 GMT",
"version": "v2"
}
] | 2014-05-07 | [
[
"Kishimoto",
"Isao",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] | We investigate identity-based solutions associated with marginal deformations in open string field theory. We find that the identity-based marginal solutions can be represented as a difference of wedge-based solutions plus an integration of a deformed BRST exact state. Using this expression, the gauge invariant overlap can be calculated analytically for the identity-based solutions. Moreover, we show that, by gauge transformation, the overlap is transformed into a disk correlation function with the integrations of currents at the boundary. |
hep-th/9605183 | Melih Sener | A.D. Jackson, M.K. \c{S}ener, J.J.M. Verbaarschot | Finite volume partition functions and Itzykson-Zuber integrals | 11 pages, LATEX. A minor typo in equation (12) has been corrected in
the revised version | Phys.Lett. B387 (1996) 355-360 | 10.1016/0370-2693(96)00993-8 | SUNY-NTG-96/29 | hep-th cond-mat | null | We find the finite volume QCD partition function for arbitrary quark masses.
This is a generalization of a result obtained by Leutwyler and Smilga for equal
quark masses. Our result is derived in the sector of zero topological charge
using a generalization of the Itzykson-Zuber integral appropriate for arbitrary
complex matrices. We present a conjecture regarding the result for arbitrary
topological charge which reproduces the Leutwyler-Smilga result in the limit of
equal quark masses. We derive a formula of the Itzykson-Zuber type for
arbitrary {\em rectangular} complex matrices, extending the result of Guhr and
Wettig obtained for {\em square} matrices.
| [
{
"created": "Sun, 26 May 1996 18:24:07 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 1996 17:42:01 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Jackson",
"A. D.",
""
],
[
"Şener",
"M. K.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We find the finite volume QCD partition function for arbitrary quark masses. This is a generalization of a result obtained by Leutwyler and Smilga for equal quark masses. Our result is derived in the sector of zero topological charge using a generalization of the Itzykson-Zuber integral appropriate for arbitrary complex matrices. We present a conjecture regarding the result for arbitrary topological charge which reproduces the Leutwyler-Smilga result in the limit of equal quark masses. We derive a formula of the Itzykson-Zuber type for arbitrary {\em rectangular} complex matrices, extending the result of Guhr and Wettig obtained for {\em square} matrices. |
1408.5066 | Maria Cristina Diamantini | M. Cristina Diamantini and Carlo A. Trugenberger | Higgsless superconductivity from topological defects in compact BF terms | 12 pages, no figures | Nuclear Physics, Volume 891, February 2015, Pages 401-419 Section
B (2015) | 10.1016/j.nuclphysb.2014.12.010 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new Higgsless model of superconductivity, inspired from anyon
superconductivity but P- and T-invariant and generalizable to any dimension.
While the original anyon superconductivity mechanism was based on
incompressible quantum Hall fluids as average field states, our mechanism
involves topological insulators as average field states. In D space dimensions
it involves a (D-1)-form fictitious pseudovector gauge field which originates
from the condensation of topological defects in compact low-energy effective BF
theories. In the average field approximation, the corresponding uniform
emergent charge creates a gap for the (D-2)-dimensional branes via the Magnus
force, the dual of the Lorentz force. One particular combination of intrinsic
and emergent charge fluctuations that leaves the total charge distribution
invariant constitutes an isolated gapless mode leading to superfluidity. The
remaining massive modes organise themselves into a D-dimensional charged,
massive vector. There is no massive Higgs scalar as there is no local order
parameter. When electromagnetism is switched on, the photon acquires mass by
the topological BF mechanism. Although the charge of the gapless mode (2) and
the topological order (4) are the same as those of the standard Higgs model,
the two models of superconductivity are clearly different since the origins of
the gap, reflected in the high-energy sectors are totally different. In 2D this
type of superconductivity is explicitly realized as global superconductivity in
Josephson junction arrays. In 3D this model predicts a possible phase
transition from topological insulators to Higgsless superconductors.
| [
{
"created": "Thu, 21 Aug 2014 17:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2014 10:32:08 GMT",
"version": "v2"
}
] | 2015-03-19 | [
[
"Diamantini",
"M. Cristina",
""
],
[
"Trugenberger",
"Carlo A.",
""
]
] | We present a new Higgsless model of superconductivity, inspired from anyon superconductivity but P- and T-invariant and generalizable to any dimension. While the original anyon superconductivity mechanism was based on incompressible quantum Hall fluids as average field states, our mechanism involves topological insulators as average field states. In D space dimensions it involves a (D-1)-form fictitious pseudovector gauge field which originates from the condensation of topological defects in compact low-energy effective BF theories. In the average field approximation, the corresponding uniform emergent charge creates a gap for the (D-2)-dimensional branes via the Magnus force, the dual of the Lorentz force. One particular combination of intrinsic and emergent charge fluctuations that leaves the total charge distribution invariant constitutes an isolated gapless mode leading to superfluidity. The remaining massive modes organise themselves into a D-dimensional charged, massive vector. There is no massive Higgs scalar as there is no local order parameter. When electromagnetism is switched on, the photon acquires mass by the topological BF mechanism. Although the charge of the gapless mode (2) and the topological order (4) are the same as those of the standard Higgs model, the two models of superconductivity are clearly different since the origins of the gap, reflected in the high-energy sectors are totally different. In 2D this type of superconductivity is explicitly realized as global superconductivity in Josephson junction arrays. In 3D this model predicts a possible phase transition from topological insulators to Higgsless superconductors. |
1602.07673 | Yasunori Nomura | Yasunori Nomura and Nico Salzetta | Why Firewalls Need Not Exist | 15 pages, 4 figures; v2: revised discussion on the number of
configurations for semiclassical excitations, conclusion unchanged; v3: minor
edits, to appear in Phys. Lett. B | null | 10.1016/j.physletb.2016.08.003 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The firewall paradox for black holes is often viewed as indicating a conflict
between unitarity and the equivalence principle. We elucidate how the paradox
manifests as a limitation of semiclassical theory, rather than presents a
conflict between fundamental principles. Two principal features of the
fundamental and semiclassical theories address two versions of the paradox: the
entanglement and typicality arguments. First, the physical Hilbert space
describing excitations on a fixed black hole background in the semiclassical
theory is exponentially smaller than the number of physical states in the
fundamental theory of quantum gravity. Second, in addition to the Hilbert space
for physical excitations, the semiclassical theory possesses an unphysically
large Fock space built by creation and annihilation operators on the fixed
black hole background. Understanding these features not only eliminates the
necessity of firewalls but also leads to a new picture of Hawking emission
contrasting pair creation at the horizon.
| [
{
"created": "Wed, 24 Feb 2016 20:57:24 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2016 20:58:33 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Aug 2016 01:06:45 GMT",
"version": "v3"
}
] | 2016-09-21 | [
[
"Nomura",
"Yasunori",
""
],
[
"Salzetta",
"Nico",
""
]
] | The firewall paradox for black holes is often viewed as indicating a conflict between unitarity and the equivalence principle. We elucidate how the paradox manifests as a limitation of semiclassical theory, rather than presents a conflict between fundamental principles. Two principal features of the fundamental and semiclassical theories address two versions of the paradox: the entanglement and typicality arguments. First, the physical Hilbert space describing excitations on a fixed black hole background in the semiclassical theory is exponentially smaller than the number of physical states in the fundamental theory of quantum gravity. Second, in addition to the Hilbert space for physical excitations, the semiclassical theory possesses an unphysically large Fock space built by creation and annihilation operators on the fixed black hole background. Understanding these features not only eliminates the necessity of firewalls but also leads to a new picture of Hawking emission contrasting pair creation at the horizon. |
hep-th/0402147 | Victor Gayral | Victor Gayral and Bruno Iochum | The spectral action for Moyal planes | 20 pages, no figure, few improvments | J.Math.Phys. 46 (2005) 043503 | 10.1063/1.1855401 | null | hep-th | null | Extending a result of D.V. Vassilevich, we obtain the asymptotic expansion
for the trace of a "spatially" regularized heat operator associated with a
generalized Laplacian defined with integral Moyal products. The Moyal
hyperplanes corresponding to any skewsymmetric matrix $\Theta$ being spectral
triples, the spectral action introduced in noncommutative geometry by A.
Chamseddine and A. Connes is computed. This result generalizes the Connes-Lott
action previously computed by Gayral for symplectic $\Theta$.
| [
{
"created": "Thu, 19 Feb 2004 12:51:10 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2004 13:22:54 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gayral",
"Victor",
""
],
[
"Iochum",
"Bruno",
""
]
] | Extending a result of D.V. Vassilevich, we obtain the asymptotic expansion for the trace of a "spatially" regularized heat operator associated with a generalized Laplacian defined with integral Moyal products. The Moyal hyperplanes corresponding to any skewsymmetric matrix $\Theta$ being spectral triples, the spectral action introduced in noncommutative geometry by A. Chamseddine and A. Connes is computed. This result generalizes the Connes-Lott action previously computed by Gayral for symplectic $\Theta$. |
0910.4873 | Daniel Meljanac | Velimir Bardek, Stjepan Meljanac and Daniel Meljanac | Solutions of coupled BPS equations for two-family Calogero and matrix
models | latex, 15 pages, no figures | Phys.Rev.D80:085014,2009 | 10.1103/PhysRevD.80.085014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a large N, two-family Calogero and matrix model in the
Hamiltonian, collective-field approach. The Bogomol'nyi limit appears and the
solutions to the coupled Bogomol'nyi-Prasad-Sommerfeld equations are given by
the static soliton configurations. We find all solutions close to constant and
construct exact one-parameter solutions in the strong-weak dual case. Full
classification of these solutions is presented.
| [
{
"created": "Mon, 26 Oct 2009 13:14:58 GMT",
"version": "v1"
}
] | 2009-10-29 | [
[
"Bardek",
"Velimir",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Meljanac",
"Daniel",
""
]
] | We consider a large N, two-family Calogero and matrix model in the Hamiltonian, collective-field approach. The Bogomol'nyi limit appears and the solutions to the coupled Bogomol'nyi-Prasad-Sommerfeld equations are given by the static soliton configurations. We find all solutions close to constant and construct exact one-parameter solutions in the strong-weak dual case. Full classification of these solutions is presented. |
1605.02193 | Hongwei Yu | Jiawei Hu, Hongwei Yu | Quantum gravitational interaction between a polarizable object and a
boundary | 11 pages, no figures | Phys.Lett. B767 (2016) 16-19 | 10.1016/j.physletb.2017.01.038 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the interaction caused by quantum gravitational vacuum
fluctuations between a gravitationally polarizable object and a gravitational
boundary, and find a position-dependent energy shift of the object, which
induces a force in close analogy to the Casimir-Polder force in the
electromagnetic case. For a Dirichlet boundary, the explicit form of the
quantum gravitational potential for the polarizable object in its ground-state
is worked out and is found to behave like $z^{-5}$ in the near regime, and
$z^{-6}$ in the far regime, where $z$ is the distance to the boundary. Taking a
Bose-Einstein condensate as a gravitationally polarizable object, we find that
the relative correction to the radius caused by fluctuating quantum
gravitational waves in vacuum is of order $10^{-21}$. Although far too small to
observe in comparison with its electromagnetic counterpart, it is nevertheless
of the order of the gravitational strain caused by a recently detected black
hole merger on the arms of the LIGO.
| [
{
"created": "Sat, 7 May 2016 13:27:45 GMT",
"version": "v1"
}
] | 2017-02-02 | [
[
"Hu",
"Jiawei",
""
],
[
"Yu",
"Hongwei",
""
]
] | We investigate the interaction caused by quantum gravitational vacuum fluctuations between a gravitationally polarizable object and a gravitational boundary, and find a position-dependent energy shift of the object, which induces a force in close analogy to the Casimir-Polder force in the electromagnetic case. For a Dirichlet boundary, the explicit form of the quantum gravitational potential for the polarizable object in its ground-state is worked out and is found to behave like $z^{-5}$ in the near regime, and $z^{-6}$ in the far regime, where $z$ is the distance to the boundary. Taking a Bose-Einstein condensate as a gravitationally polarizable object, we find that the relative correction to the radius caused by fluctuating quantum gravitational waves in vacuum is of order $10^{-21}$. Although far too small to observe in comparison with its electromagnetic counterpart, it is nevertheless of the order of the gravitational strain caused by a recently detected black hole merger on the arms of the LIGO. |
hep-th/0601149 | Dmitriy Uvarov | D.V. Uvarov | (Super)twistors and (super)strings | LaTeX, 17 pages | Class.Quant.Grav.23:2711-2726,2006 | 10.1088/0264-9381/23/7/029 | null | hep-th | null | The Lagrangian formulation of the D=4 bosonic string and superstring in terms
of the (super)twistors is considered. The (super)twistor form of the equations
of motion is derived and the kappa-symmetry transformation for the
supertwistors is given. It is shown that the covariant kappa-symmetry gauge
fixation results in the action quadratic in the (super)twistor variables.
| [
{
"created": "Fri, 20 Jan 2006 11:22:06 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Uvarov",
"D. V.",
""
]
] | The Lagrangian formulation of the D=4 bosonic string and superstring in terms of the (super)twistors is considered. The (super)twistor form of the equations of motion is derived and the kappa-symmetry transformation for the supertwistors is given. It is shown that the covariant kappa-symmetry gauge fixation results in the action quadratic in the (super)twistor variables. |
1206.4704 | Vidas Regelskis | Marius de Leeuw and Vidas Regelskis | Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and
D7-brane | 36 pages. v2: minor typos corrected, references updated; v3:
published version | JHEP 03 (2013) 030 | 10.1007/JHEP03(2013)030 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the worldsheet boundary scattering and the corresponding boundary
algebras for the Z=0 giant graviton and the Z=0 D7-brane in the AdS/CFT
correspondence. We consider two approaches to the boundary scattering, the
usual one governed by the (generalized) twisted Yangians and the q-deformed
model of these boundaries governed by the quantum affine coideal subalgebras.
We show that the q-deformed approach leads to boundary algebras that are of a
more compact form than the corresponding twisted Yangians, and thus are
favourable to use for explicit calculations. We obtain the q-deformed
reflection matrices for both boundaries which in the q->1 limit specialize to
the ones obtained using twisted Yangians.
| [
{
"created": "Wed, 20 Jun 2012 20:01:43 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2012 22:18:58 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Mar 2013 22:01:02 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"de Leeuw",
"Marius",
""
],
[
"Regelskis",
"Vidas",
""
]
] | We consider the worldsheet boundary scattering and the corresponding boundary algebras for the Z=0 giant graviton and the Z=0 D7-brane in the AdS/CFT correspondence. We consider two approaches to the boundary scattering, the usual one governed by the (generalized) twisted Yangians and the q-deformed model of these boundaries governed by the quantum affine coideal subalgebras. We show that the q-deformed approach leads to boundary algebras that are of a more compact form than the corresponding twisted Yangians, and thus are favourable to use for explicit calculations. We obtain the q-deformed reflection matrices for both boundaries which in the q->1 limit specialize to the ones obtained using twisted Yangians. |
2402.00105 | Justin Kaidi | Justin Kaidi, Yuji Tachikawa, Hao Y. Zhang | On a class of selection rules without group actions in field theory and
string theory | 22 pages + three appendices | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a class of selection rules which i) do not come from group actions
on fields, ii) are exact at tree level in perturbation theory, iii) are
increasingly violated as the loop order is raised, and iv) eventually reduce to
selection rules associated with an ordinary group symmetry. We start from basic
field-theoretical examples in which fields are labeled by conjugacy classes
rather than representations of a group, and discuss generalizations using
fusion algebras or hypergroups. We also discuss how such selection rules arise
naturally in string theory, such as for non-Abelian orbifolds or other cases
with non-invertible worldsheet symmetries.
| [
{
"created": "Wed, 31 Jan 2024 19:00:01 GMT",
"version": "v1"
}
] | 2024-02-02 | [
[
"Kaidi",
"Justin",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Zhang",
"Hao Y.",
""
]
] | We discuss a class of selection rules which i) do not come from group actions on fields, ii) are exact at tree level in perturbation theory, iii) are increasingly violated as the loop order is raised, and iv) eventually reduce to selection rules associated with an ordinary group symmetry. We start from basic field-theoretical examples in which fields are labeled by conjugacy classes rather than representations of a group, and discuss generalizations using fusion algebras or hypergroups. We also discuss how such selection rules arise naturally in string theory, such as for non-Abelian orbifolds or other cases with non-invertible worldsheet symmetries. |
2005.11329 | Pramod Shukla | Shehu AbdusSalam, Steven Abel, Michele Cicoli, Fernando Quevedo and
Pramod Shukla | A Systematic Approach to K\"ahler Moduli Stabilisation | 47 pages, 8 figures, 12 tables | JHEP 08 (2020) 047 | 10.1007/JHEP08(2020)047 | IPPP/20/18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Achieving full moduli stabilisation in type IIB string compactifications for
generic Calabi-Yau threefolds with hundreds of K\"ahler moduli is notoriously
hard. This is due not just to the very fast increase of the computational
complexity with the number of moduli, but also to the fact that the scalar
potential depends in general on the supergravity variables only implicitly. In
fact, the supergravity chiral coordinates are 4-cycle volume moduli but the
K\"ahler potential is an explicit function of the 2-cycle moduli and inverting
between these two variables is in general impossible. In this paper we propose
a general method to fix all type IIB K\"ahler moduli in a systematic way by
working directly in terms of 2-cycle moduli: on one side we present a `master
formula' for the scalar potential which can depend on an arbitrary number of
K\"ahler moduli, while on the other we perform a computer-based search for
critical points, introducing a hybrid Genetic/Clustering/Amoeba algorithm and
other computational techniques. This allows us to reproduce several known
minima, but also to discover new examples of both KKLT and LVS models, together
with novel classes of LVS minima without diagonal del Pezzo divisors and hybrid
vacua which share some features with KKLT and other with LVS solutions.
| [
{
"created": "Fri, 22 May 2020 18:00:03 GMT",
"version": "v1"
}
] | 2020-10-22 | [
[
"AbdusSalam",
"Shehu",
""
],
[
"Abel",
"Steven",
""
],
[
"Cicoli",
"Michele",
""
],
[
"Quevedo",
"Fernando",
""
],
[
"Shukla",
"Pramod",
""
]
] | Achieving full moduli stabilisation in type IIB string compactifications for generic Calabi-Yau threefolds with hundreds of K\"ahler moduli is notoriously hard. This is due not just to the very fast increase of the computational complexity with the number of moduli, but also to the fact that the scalar potential depends in general on the supergravity variables only implicitly. In fact, the supergravity chiral coordinates are 4-cycle volume moduli but the K\"ahler potential is an explicit function of the 2-cycle moduli and inverting between these two variables is in general impossible. In this paper we propose a general method to fix all type IIB K\"ahler moduli in a systematic way by working directly in terms of 2-cycle moduli: on one side we present a `master formula' for the scalar potential which can depend on an arbitrary number of K\"ahler moduli, while on the other we perform a computer-based search for critical points, introducing a hybrid Genetic/Clustering/Amoeba algorithm and other computational techniques. This allows us to reproduce several known minima, but also to discover new examples of both KKLT and LVS models, together with novel classes of LVS minima without diagonal del Pezzo divisors and hybrid vacua which share some features with KKLT and other with LVS solutions. |
0905.4115 | Justin David R | Justin R. David | On walls of marginal stability in N=2 string theories | 40 pages, 2 figures | JHEP 0908:054,2009 | 10.1088/1126-6708/2009/08/054 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of walls of marginal stability for BPS decays in a
class of N=2 theories. These theories arise in N=2 string compactifications
obtained as freely acting orbifolds of N=4 theories, such theories include the
STU model and the FHSV model. The cross sections of these walls for a generic
decay in the axion-dilaton plane reduce to lines or circles. From the
continuity properties of walls of marginal stability we show that central
charges of BPS states do not vanish in the interior of the moduli space. Given
a charge vector of a BPS state corresponding to a large black hole in these
theories, we show that all walls of marginal stability intersect at the same
point in the lower half of the axion-dilaton plane. We isolate a class of
decays whose walls of marginal stability always lie in a region bounded by
walls formed by decays to small black holes. This enables us to isolate a
region in moduli space for which no decays occur within this class. We then
study entropy enigma decays for such models and show that for generic values of
the moduli, that is when moduli are of order one compared to the charges,
entropy enigma decays do not occur in these models.
| [
{
"created": "Tue, 26 May 2009 05:04:18 GMT",
"version": "v1"
}
] | 2009-08-24 | [
[
"David",
"Justin R.",
""
]
] | We study the properties of walls of marginal stability for BPS decays in a class of N=2 theories. These theories arise in N=2 string compactifications obtained as freely acting orbifolds of N=4 theories, such theories include the STU model and the FHSV model. The cross sections of these walls for a generic decay in the axion-dilaton plane reduce to lines or circles. From the continuity properties of walls of marginal stability we show that central charges of BPS states do not vanish in the interior of the moduli space. Given a charge vector of a BPS state corresponding to a large black hole in these theories, we show that all walls of marginal stability intersect at the same point in the lower half of the axion-dilaton plane. We isolate a class of decays whose walls of marginal stability always lie in a region bounded by walls formed by decays to small black holes. This enables us to isolate a region in moduli space for which no decays occur within this class. We then study entropy enigma decays for such models and show that for generic values of the moduli, that is when moduli are of order one compared to the charges, entropy enigma decays do not occur in these models. |
2112.15172 | Fotis Farakos | Fotis Farakos, Alex Kehagias, Nikolaos Liatsos | Complex Linear Multiplets and Local Supersymmetry Breaking | 37 pages | null | 10.1007/JHEP02(2022)092 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetry breaking from a complex linear superfield coupled to
4D N=1 supergravity. The theory has two classically decoupled vacua, one
supersymmetric and one with broken and intrinsically non-linear supersymmetry.
Depending on the values of the parameters the scalar potential can lead to
no-scale Minkwoski or a stable de Sitter or anti-de Sitter vacuum. We also
provide a dual description of the system in terms of a nilpotent chiral
superfield and a standard chiral coupled to supergravity.
| [
{
"created": "Thu, 30 Dec 2021 18:54:18 GMT",
"version": "v1"
}
] | 2022-03-02 | [
[
"Farakos",
"Fotis",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Liatsos",
"Nikolaos",
""
]
] | We study supersymmetry breaking from a complex linear superfield coupled to 4D N=1 supergravity. The theory has two classically decoupled vacua, one supersymmetric and one with broken and intrinsically non-linear supersymmetry. Depending on the values of the parameters the scalar potential can lead to no-scale Minkwoski or a stable de Sitter or anti-de Sitter vacuum. We also provide a dual description of the system in terms of a nilpotent chiral superfield and a standard chiral coupled to supergravity. |
2103.12918 | Tamiaki Yoneya | Tamiaki Yoneya | Canonical Nambu mechanics: relevance to string/M-theory and approaches
to quantization | Written version of an invited talk in the workshop "Space-time
topology behind formation of micro-macro magneto-vortical structure by Nambu
mechanics", Osaka City University, Sept. 28--Oct.1, 2020, corrected typos,
added sentences, and added references, version to be published in a special
section of the journal PTEP | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We review some aspects of Nambu mechanics on the basis of the works
previously published separately by the present author. Main focuses are on
three themes, its various symmetry structures, their possible relevance to
string/M theory, and a Hamilton-Jacobi like reformulation. We try to elucidate
the basic ideas, most of which were rooted in more or less the same ground, and
to explain motivations behind these works from a unified and vantage viewpoint.
Various unsolved questions are mentioned. We also include some historical
account on the genesis of the Nambu mechanics, and discuss (in the Appendix)
some parallelism of various ideas behind the Nambu's paper with Dirac's old
works which are related to the description of vortical flows in terms of gauge
potentials.
| [
{
"created": "Wed, 24 Mar 2021 01:31:34 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2021 01:10:51 GMT",
"version": "v2"
}
] | 2021-04-22 | [
[
"Yoneya",
"Tamiaki",
""
]
] | We review some aspects of Nambu mechanics on the basis of the works previously published separately by the present author. Main focuses are on three themes, its various symmetry structures, their possible relevance to string/M theory, and a Hamilton-Jacobi like reformulation. We try to elucidate the basic ideas, most of which were rooted in more or less the same ground, and to explain motivations behind these works from a unified and vantage viewpoint. Various unsolved questions are mentioned. We also include some historical account on the genesis of the Nambu mechanics, and discuss (in the Appendix) some parallelism of various ideas behind the Nambu's paper with Dirac's old works which are related to the description of vortical flows in terms of gauge potentials. |
2209.14709 | Andrei T. Patrascu | Andrei T. Patrascu | Grothendieck's point of view and complexity in the black hole paradox | accepted for publication in this form in physica scripta | null | 10.1088/1402-4896/aceac4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These are some speculations on how Grothendieck's point of view and the idea
of complexity dynamics can come together in the problem of explaining the black
hole information paradox. They are neither complete, nor final, but can seem
like a new direction of research. If read as such they could prove useful to
some researchers. The basic idea is that entanglement alone cannot fully
account for the information extraction in black hole contexts. Complexity has
been proposed as an alternative but remains a vague concept. I employ
Grothendieck's point of view to expand the idea of entanglement entropy to a
categorical context in which the objects (states) and their maps are considered
together and the map space has additional topological and geometric structure
that intermingles with the object set of the category via Sieves, Sheafs, and
Toposes.
| [
{
"created": "Fri, 12 Aug 2022 06:53:32 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2023 18:38:40 GMT",
"version": "v2"
}
] | 2023-07-31 | [
[
"Patrascu",
"Andrei T.",
""
]
] | These are some speculations on how Grothendieck's point of view and the idea of complexity dynamics can come together in the problem of explaining the black hole information paradox. They are neither complete, nor final, but can seem like a new direction of research. If read as such they could prove useful to some researchers. The basic idea is that entanglement alone cannot fully account for the information extraction in black hole contexts. Complexity has been proposed as an alternative but remains a vague concept. I employ Grothendieck's point of view to expand the idea of entanglement entropy to a categorical context in which the objects (states) and their maps are considered together and the map space has additional topological and geometric structure that intermingles with the object set of the category via Sieves, Sheafs, and Toposes. |
hep-th/0402020 | Christoph Sieg | H. Dorn, M. Salizzoni, C. Sieg | Comments on the scalar propagator in AdS x S and the BMN plane wave | 7 pages, Fortsch.Phys. style, Talk given at 36th International
Symposium Ahrenshoop on the Theory of Elementary Particles: Recent
Developments in String/M- Theory and Field Theory, Wernsdorf, Germany, 26-30
Aug 2003 | Fortsch.Phys. 52 (2004) 684-689 | 10.1002/prop.200410164 | null | hep-th | null | We discuss the scalar propagator on generic AdS_{d+1} x S^{d'+1} backgrounds.
For the conformally flat situations and masses corresponding to Weyl invariant
actions the propagator is powerlike in the sum of the chordal distances with
respect to AdS_{d+1} and S^{d'+1}. In all other cases the propagator depends on
both chordal distances separately. We discuss the KK mode summation to
construct the propagator in brief. For AdS_5 x S^5 we relate our propagator to
the expression in the BMN plane wave limit and find a geometric interpretation
of the variables occurring in the known explicit construction on the plane
wave.
| [
{
"created": "Tue, 3 Feb 2004 18:25:30 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Dorn",
"H.",
""
],
[
"Salizzoni",
"M.",
""
],
[
"Sieg",
"C.",
""
]
] | We discuss the scalar propagator on generic AdS_{d+1} x S^{d'+1} backgrounds. For the conformally flat situations and masses corresponding to Weyl invariant actions the propagator is powerlike in the sum of the chordal distances with respect to AdS_{d+1} and S^{d'+1}. In all other cases the propagator depends on both chordal distances separately. We discuss the KK mode summation to construct the propagator in brief. For AdS_5 x S^5 we relate our propagator to the expression in the BMN plane wave limit and find a geometric interpretation of the variables occurring in the known explicit construction on the plane wave. |
0711.3248 | Tibra Ali | Tibra Ali and Gerald B. Cleaver | A Note on a Standard Embedding on Half-Flat Manifolds | 5 pages. v2: 6 pages; slightly reworded; version submitted for
publication. v3: uses JHEP3.cls, hence 14 pages now. Essentially same content
as before. Article in title changed in accordance with JHEP editor's
suggestion. Version to appear in JHEP | JHEP 0807:121,2008 | 10.1088/1126-6708/2008/07/121 | BU-HEPP-07-14 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is argued that the ten dimensional solution that corresponds to the
compactification of $E_8 \times E_8$ heterotic string theory on a half-flat
manifold is the product space-time $R^{1,2} \times Z_7$ where $Z_7$ is a
generalized cylinder with $G_2$ riemannian holonomy. Standard embedding on
$Z_7$ then implies an embedding on the half-flat manifold which involves the
torsionful connection rather than the Levi-Civita connection. This leads to the
breakdown of $E_8 \times E_8$ to $E_6 \times E_8$, as in the case of the
standard embedding on Calabi-Yau manifolds, which agrees with the result
derived recently by Gurrieri, Lukas and Micu (arXiv:0709.1932) using a
different approach. Green-Schwarz anomaly cancellation is then implemented via
the torsionful connection on half-flat manifolds.
| [
{
"created": "Wed, 21 Nov 2007 19:15:00 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2008 20:12:08 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Jul 2008 17:27:53 GMT",
"version": "v3"
}
] | 2009-01-06 | [
[
"Ali",
"Tibra",
""
],
[
"Cleaver",
"Gerald B.",
""
]
] | It is argued that the ten dimensional solution that corresponds to the compactification of $E_8 \times E_8$ heterotic string theory on a half-flat manifold is the product space-time $R^{1,2} \times Z_7$ where $Z_7$ is a generalized cylinder with $G_2$ riemannian holonomy. Standard embedding on $Z_7$ then implies an embedding on the half-flat manifold which involves the torsionful connection rather than the Levi-Civita connection. This leads to the breakdown of $E_8 \times E_8$ to $E_6 \times E_8$, as in the case of the standard embedding on Calabi-Yau manifolds, which agrees with the result derived recently by Gurrieri, Lukas and Micu (arXiv:0709.1932) using a different approach. Green-Schwarz anomaly cancellation is then implemented via the torsionful connection on half-flat manifolds. |
hep-th/0402218 | Justin Khoury | Richard Easther, Justin Khoury, Koenraad Schalm | Tuning Locked Inflation: Supergravity versus Phenomenology | 7 pages, 2 figures | JCAP 0406 (2004) 006 | 10.1088/1475-7516/2004/06/006 | null | hep-th astro-ph | null | We analyze the cosmological consequences of locked inflation, a model
recently proposed by Dvali and Kachru that can produce significant amounts of
inflation without requiring slow-roll. We pay particular attention to the end
of inflation in this model, showing that a secondary phase of saddle inflation
can follow the locked inflationary era. However, this subsequent period of
inflation results in a strongly scale dependent spectrum that can lead to
massive black hole formation in the primordial universe. Avoiding this
disastrous outcome puts strong constraints on the parameter space open to
models of locked inflation.
| [
{
"created": "Thu, 26 Feb 2004 20:47:03 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Easther",
"Richard",
""
],
[
"Khoury",
"Justin",
""
],
[
"Schalm",
"Koenraad",
""
]
] | We analyze the cosmological consequences of locked inflation, a model recently proposed by Dvali and Kachru that can produce significant amounts of inflation without requiring slow-roll. We pay particular attention to the end of inflation in this model, showing that a secondary phase of saddle inflation can follow the locked inflationary era. However, this subsequent period of inflation results in a strongly scale dependent spectrum that can lead to massive black hole formation in the primordial universe. Avoiding this disastrous outcome puts strong constraints on the parameter space open to models of locked inflation. |
2210.15213 | Asuka Ito | Asuka Ito, Teruaki Suyama | Superluminal propagation from IR physics | 10 pages, 4 figures | Phys.Rev.D 107 (2023) 1, 016011 | 10.1103/PhysRevD.107.016011 | KEK-QUP-2022-0004, KEK-TH-2467, KEK-Cosmo-0301 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One may believe that front velocities of waves in a given theory coincide
with the UV limit of phase velocities for any dispersion relations. This
implies that IR physics is irrelevant to the discussion of propagation speed of
waves. We first consider a theory that contains higher spatial derivatives in
the wave equation and prove that front velocities coincide with the UV limit of
phase velocities, at least, if parity is conserved. However, we also show that
front velocities do not coincide with the UV limit of phase velocities in
general dispersion relations. We explicitly give several examples in which
front velocities are superluminal owing to an IR or intermediate energy scale
property of dispersion relations even if the UV limit of phase velocities is
luminal. Our finding conveys the important caution that not only UV physics but
also IR physics can be significant to superluminality.
| [
{
"created": "Thu, 27 Oct 2022 06:56:40 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2023 06:15:19 GMT",
"version": "v2"
}
] | 2023-01-25 | [
[
"Ito",
"Asuka",
""
],
[
"Suyama",
"Teruaki",
""
]
] | One may believe that front velocities of waves in a given theory coincide with the UV limit of phase velocities for any dispersion relations. This implies that IR physics is irrelevant to the discussion of propagation speed of waves. We first consider a theory that contains higher spatial derivatives in the wave equation and prove that front velocities coincide with the UV limit of phase velocities, at least, if parity is conserved. However, we also show that front velocities do not coincide with the UV limit of phase velocities in general dispersion relations. We explicitly give several examples in which front velocities are superluminal owing to an IR or intermediate energy scale property of dispersion relations even if the UV limit of phase velocities is luminal. Our finding conveys the important caution that not only UV physics but also IR physics can be significant to superluminality. |
2206.06912 | Ivan Todorov | Ivan Todorov | Octonion Internal Space Algebra for the Standard Model | Extended version of a lecture presented at the Workshop Octonions and
the Standard Model, Perimeter Institute, Waterloo, Canada, February-May 2021,
and at the 14th International Workshop Lie Theory and Its Applications to
Physics (LT 14), Sofia, June 2021. v3: exposition improved, references added,
34 pages | Universe 2023, 9(5), 222 | 10.3390/universe9050222 | IHES/P/22/01 | hep-th hep-ph math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The paper surveys recent progress in the search for an appropriate internal
space algebra for the Standard Model (SM) of particle physics. As a starting
point serve Clifford algebras involving operators of left multiplication by
octonions. A central role is played by a distinguished complex structure which
implements the splitting of the octonions ${\mathbb O} = {\mathbb C} \oplus
{\mathbb C}^3$ reflecting the lepton-quark symmetry. Such a complex structure
in $C\ell_{10}$ is generated by the $C\ell_6(\subset C\ell_8\subset
C\ell_{10})$ volume form, $\omega_6 = \gamma_1 \cdots \gamma_6$, left invariant
by the Pati-Salam subgroup of $Spin(10)$, $G_{\rm PS} = Spin (4) \times Spin
(6) / {\mathbb Z}_2$. While the $Spin(10)$ invariant volume form
$\omega_{10}=\gamma_1 ... \gamma_{10}$ is known to split the Dirac spinors of
$C\ell_{10}$ into left and right chiral (semi)spinors, ${\cal P} = \frac12 (1 -
i\omega_6)$ is interpreted as the projector on the 16-dimensional
\textit{particle subspace} (annihilating the antiparticles). The standard model
gauge group appears as the subgroup of $G_{PS}$ that preserves the sterile
neutrino (identified with the Fock vacuum). The $\mathbb{Z}_2$-graded internal
space algebra $\mathcal{A}$ is then included in the projected tensor product:
$\mathcal{A}\subset \mathcal{P}C\ell_{10}\mathcal{P}=C\ell_4\otimes \mathcal{P}
C\ell_6^0\mathcal{P}$. The Higgs field appears as the scalar term of a
superconnection, an element of the odd part, $C\ell_4^1$, of the first factor.
The fact that the projection of $C\ell_{10}$ only involves the even part
$C\ell_6^0$ of the second factor guarantees that the colour symmetry remains
unbroken. As an application we express the ratio $\frac{m_H}{m_W}$ of the Higgs
to the $W$-boson masses in terms of the cosine of the {\it theoretical}
Weinberg angle.
| [
{
"created": "Tue, 14 Jun 2022 15:16:54 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2022 14:34:48 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Aug 2023 16:52:19 GMT",
"version": "v3"
}
] | 2023-08-08 | [
[
"Todorov",
"Ivan",
""
]
] | The paper surveys recent progress in the search for an appropriate internal space algebra for the Standard Model (SM) of particle physics. As a starting point serve Clifford algebras involving operators of left multiplication by octonions. A central role is played by a distinguished complex structure which implements the splitting of the octonions ${\mathbb O} = {\mathbb C} \oplus {\mathbb C}^3$ reflecting the lepton-quark symmetry. Such a complex structure in $C\ell_{10}$ is generated by the $C\ell_6(\subset C\ell_8\subset C\ell_{10})$ volume form, $\omega_6 = \gamma_1 \cdots \gamma_6$, left invariant by the Pati-Salam subgroup of $Spin(10)$, $G_{\rm PS} = Spin (4) \times Spin (6) / {\mathbb Z}_2$. While the $Spin(10)$ invariant volume form $\omega_{10}=\gamma_1 ... \gamma_{10}$ is known to split the Dirac spinors of $C\ell_{10}$ into left and right chiral (semi)spinors, ${\cal P} = \frac12 (1 - i\omega_6)$ is interpreted as the projector on the 16-dimensional \textit{particle subspace} (annihilating the antiparticles). The standard model gauge group appears as the subgroup of $G_{PS}$ that preserves the sterile neutrino (identified with the Fock vacuum). The $\mathbb{Z}_2$-graded internal space algebra $\mathcal{A}$ is then included in the projected tensor product: $\mathcal{A}\subset \mathcal{P}C\ell_{10}\mathcal{P}=C\ell_4\otimes \mathcal{P} C\ell_6^0\mathcal{P}$. The Higgs field appears as the scalar term of a superconnection, an element of the odd part, $C\ell_4^1$, of the first factor. The fact that the projection of $C\ell_{10}$ only involves the even part $C\ell_6^0$ of the second factor guarantees that the colour symmetry remains unbroken. As an application we express the ratio $\frac{m_H}{m_W}$ of the Higgs to the $W$-boson masses in terms of the cosine of the {\it theoretical} Weinberg angle. |
hep-th/0602195 | Hongwei Yu | Hongwei Yu, Jun Chen and Puxun Wu | Brownian motion of a charged test particle near a reflecting boundary at
finite temperature | 11 pages,no figures, Revtex4 | JHEP 0602 (2006) 058 | 10.1088/1126-6708/2006/02/058 | null | hep-th | null | We discuss the random motion of charged test particles driven by quantum
electromagnetic fluctuations at finite temperature in both the unbounded flat
space and flat spacetime with a reflecting boundary and calculate the mean
squared fluctuations in the velocity and position of the test particle. We show
that typically the random motion driven by the quantum fluctuations is one
order of magnitude less significant than that driven by thermal noise in the
unbounded flat space. However, in the flat space with a reflecting plane
boundary, the random motion of quantum origin can become much more significant
than that of thermal origin at very low temperature.
| [
{
"created": "Mon, 20 Feb 2006 11:11:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yu",
"Hongwei",
""
],
[
"Chen",
"Jun",
""
],
[
"Wu",
"Puxun",
""
]
] | We discuss the random motion of charged test particles driven by quantum electromagnetic fluctuations at finite temperature in both the unbounded flat space and flat spacetime with a reflecting boundary and calculate the mean squared fluctuations in the velocity and position of the test particle. We show that typically the random motion driven by the quantum fluctuations is one order of magnitude less significant than that driven by thermal noise in the unbounded flat space. However, in the flat space with a reflecting plane boundary, the random motion of quantum origin can become much more significant than that of thermal origin at very low temperature. |
1105.2299 | Stefano Cremonesi | Francesco Benini, Cyril Closset, Stefano Cremonesi | Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and
AdS4/CFT3 | 49+20 pages, 6 figures; v2: typos fixed, references added, 49+21
pages | JHEP 1109:005,2011 | 10.1007/JHEP09(2011)005 | PUTP-2373, WIS/04/11-MAY-DPPA, TAUP-2928/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum moduli space of N=2 Chern-Simons quivers with generic
ranks and CS levels, proving along the way exact formulas for the charges of
bare monopole operators. We then derive N=2 Chern-Simons quiver theories dual
to AdS_4 x Y^{p,q}(CP2) M-theory backgrounds, for the whole family of
Sasaki-Einstein seven-manifolds and for any value of the torsion G_4 flux. The
derivation of the gauge theories relies on the reduction to type IIA string
theory, in which M2-branes become D2-branes while the conical geometry maps to
RR flux and D6-branes wrapped on compact four-cycles. M5-branes on torsion
cycles map to flux and wrapped D4-branes. The moduli space of the quiver is
shown to contain the corresponding CY_4 cone and all its crepant resolutions.
| [
{
"created": "Wed, 11 May 2011 20:00:30 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2011 08:31:07 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Benini",
"Francesco",
""
],
[
"Closset",
"Cyril",
""
],
[
"Cremonesi",
"Stefano",
""
]
] | We study the quantum moduli space of N=2 Chern-Simons quivers with generic ranks and CS levels, proving along the way exact formulas for the charges of bare monopole operators. We then derive N=2 Chern-Simons quiver theories dual to AdS_4 x Y^{p,q}(CP2) M-theory backgrounds, for the whole family of Sasaki-Einstein seven-manifolds and for any value of the torsion G_4 flux. The derivation of the gauge theories relies on the reduction to type IIA string theory, in which M2-branes become D2-branes while the conical geometry maps to RR flux and D6-branes wrapped on compact four-cycles. M5-branes on torsion cycles map to flux and wrapped D4-branes. The moduli space of the quiver is shown to contain the corresponding CY_4 cone and all its crepant resolutions. |
hep-th/0107093 | Ellwanger | U. Ellwanger, N. Wschebor | Solvable Confining Gauge Theories at Large N | 17 pages (LaTeX2e) | Phys.Lett. B517 (2001) 462-470 | 10.1016/S0370-2693(01)01023-1 | LPT Orsay 01-49 | hep-th | null | In this letter we consider models with N U(1) gauge fields together with N
Kalb-Ramond fields in the large N limit. These models can be solved explicitely
and exhibit confinement for a large class of bare actions. The confining phase
is characterized by an approximate "low energy" vector gauge symmetry under
which the Kalb-Ramond fields transform. A duality transformation shows that
confinement is associated with magnetic monopoles condensation.
| [
{
"created": "Wed, 11 Jul 2001 15:15:59 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Ellwanger",
"U.",
""
],
[
"Wschebor",
"N.",
""
]
] | In this letter we consider models with N U(1) gauge fields together with N Kalb-Ramond fields in the large N limit. These models can be solved explicitely and exhibit confinement for a large class of bare actions. The confining phase is characterized by an approximate "low energy" vector gauge symmetry under which the Kalb-Ramond fields transform. A duality transformation shows that confinement is associated with magnetic monopoles condensation. |
hep-th/0611298 | Farrukh A. Chishtie | A. Buchel, F. A. Chishtie, M. Gagne-Portelance, S. Homayouni and D. G.
McKeon | Tensor Self Energy in a Vector-Tensor Model | 7 pages, LaTeX, additional analysis and comments | Int.J.Mod.Phys.A23:529-536,2008 | 10.1142/S0217751X08038640 | UWO-TH-06/21 | hep-th | null | The tensor self energy is computed at one loop order in a model in which a
vector and tensor interact in a way that eliminates all tensor degrees of
freedom. Divergencies arise which cannot be eliminated without introducing a
kinetic term for the tensor field which does not appear in the classical
action. We comment on a possible resolution of this puzzle.
| [
{
"created": "Tue, 28 Nov 2006 01:54:47 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2007 01:31:25 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Buchel",
"A.",
""
],
[
"Chishtie",
"F. A.",
""
],
[
"Gagne-Portelance",
"M.",
""
],
[
"Homayouni",
"S.",
""
],
[
"McKeon",
"D. G.",
""
]
] | The tensor self energy is computed at one loop order in a model in which a vector and tensor interact in a way that eliminates all tensor degrees of freedom. Divergencies arise which cannot be eliminated without introducing a kinetic term for the tensor field which does not appear in the classical action. We comment on a possible resolution of this puzzle. |
2104.06266 | Andrei Smilga | Andrei Smilga | A comment on instantons and their fermion zero modes in adjoint QCD_2 | minor changes, a reference added. 28 pages, 3 figures | SciPost Phys. 10, 152 (2021) | 10.21468/SciPostPhys.10.6.152 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The adjoint 2-dimensional $QCD$ with the gauge group $SU(N)/Z_N$ admits
topologically nontrivial gauge field configurations associated with nontrivial
$\pi_1[SU(N)/Z_N] = Z_N$. The topological sectors are labelled by an integer
$k=0,\ldots, N-1$. However, in contrast to $QED_2$ and $QCD_4$, this topology
is not associated with an integral invariant like the magnetic flux or
Pontryagin index. These instantons may admit fermion zero modes, but there is
always an equal number of left-handed and right-handed modes, so that the
Atiyah-Singer theorem, which determines in other cases the number of the modes,
does not apply.
The mod. 2 argument suggests that, for a generic gauge field configuration,
there is either a single doublet of such zero modes or no modes whatsoever.
However, the known solution of the Dirac problem for a wide class of gauge
field configurations indicates the presence of $k(N-k)$ zero mode doublets in
the topological sector $k$. In this note, we demonstrate in an explicit way
that these modes are not robust under a generic enough deformation of the gauge
background and confirm thereby the mod. 2 conjecture.
The implications for the physics of this theory (screening vs. confinement
issue) are briefly discussed.
| [
{
"created": "Tue, 13 Apr 2021 14:48:30 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 2021 16:55:59 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jun 2021 14:40:26 GMT",
"version": "v3"
}
] | 2021-06-23 | [
[
"Smilga",
"Andrei",
""
]
] | The adjoint 2-dimensional $QCD$ with the gauge group $SU(N)/Z_N$ admits topologically nontrivial gauge field configurations associated with nontrivial $\pi_1[SU(N)/Z_N] = Z_N$. The topological sectors are labelled by an integer $k=0,\ldots, N-1$. However, in contrast to $QED_2$ and $QCD_4$, this topology is not associated with an integral invariant like the magnetic flux or Pontryagin index. These instantons may admit fermion zero modes, but there is always an equal number of left-handed and right-handed modes, so that the Atiyah-Singer theorem, which determines in other cases the number of the modes, does not apply. The mod. 2 argument suggests that, for a generic gauge field configuration, there is either a single doublet of such zero modes or no modes whatsoever. However, the known solution of the Dirac problem for a wide class of gauge field configurations indicates the presence of $k(N-k)$ zero mode doublets in the topological sector $k$. In this note, we demonstrate in an explicit way that these modes are not robust under a generic enough deformation of the gauge background and confirm thereby the mod. 2 conjecture. The implications for the physics of this theory (screening vs. confinement issue) are briefly discussed. |
1908.04623 | Christopher Hull | N. Chaemjumrus and C.M. Hull | Special Holonomy Manifolds, Domain Walls, Intersecting Branes and
T-folds | 39 pages | null | 10.1007/JHEP03(2020)017 | Imperial-TP-2019-CH-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle,
which were constructed as nilmanifold bundles over a line by uplifting
supersymmetric domain wall solutions of supergravity to 11 dimensions. We show
that these are dual to intersecting brane solutions, and considering these
leads us to a more general class of special holonomy metrics. Further dualities
relate these to non-geometric backgrounds involving intersections of branes and
exotic branes. We discuss the possibility of resolving these spaces to give
smooth special holonomy manifolds.
| [
{
"created": "Tue, 13 Aug 2019 13:07:38 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Chaemjumrus",
"N.",
""
],
[
"Hull",
"C. M.",
""
]
] | We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle, which were constructed as nilmanifold bundles over a line by uplifting supersymmetric domain wall solutions of supergravity to 11 dimensions. We show that these are dual to intersecting brane solutions, and considering these leads us to a more general class of special holonomy metrics. Further dualities relate these to non-geometric backgrounds involving intersections of branes and exotic branes. We discuss the possibility of resolving these spaces to give smooth special holonomy manifolds. |
1610.01941 | Mukund Rangamani | Felix M. Haehl, R. Loganayagam, Mukund Rangamani | Schwinger-Keldysh formalism II: Thermal equivariant cohomology | 72 pages; v2: fixed typos. v3: minor clarifications and improvements
to non-equilbirum work relations discussion. v4: typos fixed. published
version | null | 10.1007/JHEP06(2017)070 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Causally ordered correlation functions of local operators in near-thermal
quantum systems computed using the Schwinger-Keldysh formalism obey a set of
Ward identities. These can be understood rather simply as the consequence of a
topological (BRST) algebra, called the universal Schwinger-Keldysh
superalgebra, as explained in our companion paper arXiv:1610.01940. In the
present paper we provide a mathematical discussion of this topological algebra.
In particular, we argue that the structures can be understood in the language
of extended equivariant cohomology. To keep the discussion self-contained, we
provide a basic review of the algebraic construction of equivariant cohomology
and explain how it can be understood in familiar terms as a superspace gauge
algebra. We demonstrate how the Schwinger-Keldysh construction can be
succinctly encoded in terms a thermal equivariant cohomology algebra which
naturally acts on the operator (super)-algebra of the quantum system. The main
rationale behind this exploration is to extract symmetry statements which are
robust under renormalization group flow and can hence be used to understand
low-energy effective field theory of near-thermal physics. To illustrate the
general principles, we focus on Langevin dynamics of a Brownian particle,
rephrasing some known results in terms of thermal equivariant cohomology. As
described elsewhere, the general framework enables construction of effective
actions for dissipative hydrodynamics and could potentially illumine our
understanding of black holes.
| [
{
"created": "Thu, 6 Oct 2016 16:38:51 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2016 19:10:42 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Feb 2017 19:46:58 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Jun 2017 17:30:42 GMT",
"version": "v4"
}
] | 2017-06-28 | [
[
"Haehl",
"Felix M.",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | Causally ordered correlation functions of local operators in near-thermal quantum systems computed using the Schwinger-Keldysh formalism obey a set of Ward identities. These can be understood rather simply as the consequence of a topological (BRST) algebra, called the universal Schwinger-Keldysh superalgebra, as explained in our companion paper arXiv:1610.01940. In the present paper we provide a mathematical discussion of this topological algebra. In particular, we argue that the structures can be understood in the language of extended equivariant cohomology. To keep the discussion self-contained, we provide a basic review of the algebraic construction of equivariant cohomology and explain how it can be understood in familiar terms as a superspace gauge algebra. We demonstrate how the Schwinger-Keldysh construction can be succinctly encoded in terms a thermal equivariant cohomology algebra which naturally acts on the operator (super)-algebra of the quantum system. The main rationale behind this exploration is to extract symmetry statements which are robust under renormalization group flow and can hence be used to understand low-energy effective field theory of near-thermal physics. To illustrate the general principles, we focus on Langevin dynamics of a Brownian particle, rephrasing some known results in terms of thermal equivariant cohomology. As described elsewhere, the general framework enables construction of effective actions for dissipative hydrodynamics and could potentially illumine our understanding of black holes. |
1409.3031 | Shin Sasaki | Masato Arai, Yoshishige Kobayashi, Shin Sasaki | Supersymmetry and R-symmetry Breaking in Meta-stable Vacua at Finite
Temperature and Density | 14 pages, 13 figures, version published in Phys.Rev.D | Phys. Rev. D 90, 105022 (2014) | 10.1103/PhysRevD.90.105022 | TIT/HEP-638 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a meta-stable supersymmetry-breaking vacuum in a generalized
O'Raifeartaigh model at finite temperature and chemical potentials. Fields in
the generalized O'Raifeartaigh model possess different R-charges to realize
R-symmetry breaking. Accordingly, at finite density and temperature, the
chemical potentials have to be introduced in a non-uniform way. Based on the
formulation elaborated in our previous work we study the one-loop thermal
effective potential including the chemical potentials in the generalized
O'Raifeartaigh model. We perform a numerical analysis and find that the
R-symmetry breaking vacua, which exist at zero temperature and zero chemical
potential, are destabilized for some parameter regions. In addition, we find
that there are parameter regions where new R-symmetry breaking vacua are
realized even at high temperature by the finite density effects.
| [
{
"created": "Wed, 10 Sep 2014 11:36:02 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 2014 04:45:47 GMT",
"version": "v2"
}
] | 2014-11-26 | [
[
"Arai",
"Masato",
""
],
[
"Kobayashi",
"Yoshishige",
""
],
[
"Sasaki",
"Shin",
""
]
] | We study a meta-stable supersymmetry-breaking vacuum in a generalized O'Raifeartaigh model at finite temperature and chemical potentials. Fields in the generalized O'Raifeartaigh model possess different R-charges to realize R-symmetry breaking. Accordingly, at finite density and temperature, the chemical potentials have to be introduced in a non-uniform way. Based on the formulation elaborated in our previous work we study the one-loop thermal effective potential including the chemical potentials in the generalized O'Raifeartaigh model. We perform a numerical analysis and find that the R-symmetry breaking vacua, which exist at zero temperature and zero chemical potential, are destabilized for some parameter regions. In addition, we find that there are parameter regions where new R-symmetry breaking vacua are realized even at high temperature by the finite density effects. |
hep-th/0207067 | Kazumi Okuyama | Kazumi Okuyama | N=4 SYM on R times S^3 and PP-Wave | 18 pages, lanlmac; v3: added a comment on Weyl anomaly | JHEP 0211 (2002) 043 | 10.1088/1126-6708/2002/11/043 | EFI-02-92 | hep-th | null | We consider the radial quantization of N=4 super Yang-Mills (SYM) in 4
dimensions, i.e., N=4 SYM on a cylinder R times S^3. We construct the
generators of superconformal symmetry in the case of U(N) gauge group,
generalizing the earlier work by Nicolai et al. for U(1) gauge group. We study
how these generators contract to the symmetry of pp-wave when they act on a
state with large R-charge.
| [
{
"created": "Mon, 8 Jul 2002 13:36:15 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2002 12:10:09 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Aug 2002 22:08:58 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Okuyama",
"Kazumi",
""
]
] | We consider the radial quantization of N=4 super Yang-Mills (SYM) in 4 dimensions, i.e., N=4 SYM on a cylinder R times S^3. We construct the generators of superconformal symmetry in the case of U(N) gauge group, generalizing the earlier work by Nicolai et al. for U(1) gauge group. We study how these generators contract to the symmetry of pp-wave when they act on a state with large R-charge. |
2407.13807 | Deepak Vaid | Deepak Vaid and Luigi Teixeira de Sousa | Quantizing the Bosonic String on a Loop Quantum Gravity Background | Comments/criticisms very welcome; 23 pages, no figures | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | With the goal of understanding whether or not it is possible to construct a
string theory which is consistent with loop quantum gravity (LQG), we study
alternate versions of the Nambu-Goto action for a bosonic string. We consider
two types of modifications. The first is a phenomenological action based on the
observation that LQG tells us that areas of two-surfaces are operators in
quantum geometry and are bounded from below. This leads us to a string action
which is similar to that of bimetric gravity. We provide formulations of the
bimetric string for both the Nambu-Goto (second order) and Polyakov (first
order) formulations. We explore the classical solutions of this action and its
quantization and relate it to the conventional string solutions.
The second is an action in which the background geometry is described in
terms of the pullback of the connection which describes the bulk geometry to
the worldsheet. The resulting action is in the form of a gauged sigma model,
where the spacetime co-ordinates are now vectors which transform under
$ISO(D,1)$. We find that for the particular case of a constant background
connection the action reduces to the bimetric action discussed above. We
discuss classical solutions and quantization strategies for this action and its
implications for the broader program of unifying string theory and loop quantum
gravity.
| [
{
"created": "Thu, 18 Jul 2024 06:30:30 GMT",
"version": "v1"
}
] | 2024-07-22 | [
[
"Vaid",
"Deepak",
""
],
[
"de Sousa",
"Luigi Teixeira",
""
]
] | With the goal of understanding whether or not it is possible to construct a string theory which is consistent with loop quantum gravity (LQG), we study alternate versions of the Nambu-Goto action for a bosonic string. We consider two types of modifications. The first is a phenomenological action based on the observation that LQG tells us that areas of two-surfaces are operators in quantum geometry and are bounded from below. This leads us to a string action which is similar to that of bimetric gravity. We provide formulations of the bimetric string for both the Nambu-Goto (second order) and Polyakov (first order) formulations. We explore the classical solutions of this action and its quantization and relate it to the conventional string solutions. The second is an action in which the background geometry is described in terms of the pullback of the connection which describes the bulk geometry to the worldsheet. The resulting action is in the form of a gauged sigma model, where the spacetime co-ordinates are now vectors which transform under $ISO(D,1)$. We find that for the particular case of a constant background connection the action reduces to the bimetric action discussed above. We discuss classical solutions and quantization strategies for this action and its implications for the broader program of unifying string theory and loop quantum gravity. |
hep-th/9708037 | Amihay Hanany | Amihay Hanany and Gilad Lifschytz | M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK
Monopoles | We clarify the role of the adjoint mass parameter, and make
connection with a membrane description. 20 pages, latex | Nucl.Phys.B519:195-213,1998 | 10.1016/S0550-3213(98)00050-9 | IASSNS-HEP-97/93, PUPT-1717 | hep-th | null | We discuss M(atrix) theory compactification on T^6. This theory is described
by the large N limit of the world volume theory, of N Kaluza-Klein monopoles in
eleven dimensions. We discuss the BPS states, and their arrangement in E_6
multiplets. We then propose the formulation of the world volume theory of KK
monopoles in eleven dimensions that decouples from the bulk. This is given by a
large N_1 m(atrix) theory with eight supercharges, corresponding to the quantum
mechanics theory of N_1 zero-branes inside the Type IIA Kaluza-Klein monopole.
Various limits of the construction are considered.
| [
{
"created": "Wed, 6 Aug 1997 22:11:14 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Aug 1997 22:12:06 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Hanany",
"Amihay",
""
],
[
"Lifschytz",
"Gilad",
""
]
] | We discuss M(atrix) theory compactification on T^6. This theory is described by the large N limit of the world volume theory, of N Kaluza-Klein monopoles in eleven dimensions. We discuss the BPS states, and their arrangement in E_6 multiplets. We then propose the formulation of the world volume theory of KK monopoles in eleven dimensions that decouples from the bulk. This is given by a large N_1 m(atrix) theory with eight supercharges, corresponding to the quantum mechanics theory of N_1 zero-branes inside the Type IIA Kaluza-Klein monopole. Various limits of the construction are considered. |
hep-th/0101056 | Alex Buchel | Alex Buchel | Comments on fractional instantons in N=2 gauge theories | Published version (paper shortened to satisfy the requirements of
Phys. Lett. B; see v1 for original-length paper) | Phys.Lett. B514 (2001) 417-425 | 10.1016/S0370-2693(01)00827-9 | NSF-ITP-01-01 | hep-th | null | N=1^* gauge theories are believed to have fractional instanton contributions
in the confining vacua. D3 brane probe computations in gravitation dual of
large-N N=2^* gauge theories point to the absence of such contributions in the
low energy gauge dynamics. We study fractional instantons in N=2 SU(2)
Yang-Mills theory from the field theoretical perspective. We present new
solutions to the Seiberg-Witten SU(2) monodromy problem with the same
perturbative asymptotic, a massless monopole and a dyon singularity on the
moduli space, and fractional instanton corrections to N=2 prepotential in the
semi-classical region of the moduli space. We show that fractional instantons
lead to infinite monopole (dyon) condensate in mass deformed N=2 gauge
theories.
| [
{
"created": "Wed, 10 Jan 2001 22:53:12 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2001 21:18:46 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Buchel",
"Alex",
""
]
] | N=1^* gauge theories are believed to have fractional instanton contributions in the confining vacua. D3 brane probe computations in gravitation dual of large-N N=2^* gauge theories point to the absence of such contributions in the low energy gauge dynamics. We study fractional instantons in N=2 SU(2) Yang-Mills theory from the field theoretical perspective. We present new solutions to the Seiberg-Witten SU(2) monodromy problem with the same perturbative asymptotic, a massless monopole and a dyon singularity on the moduli space, and fractional instanton corrections to N=2 prepotential in the semi-classical region of the moduli space. We show that fractional instantons lead to infinite monopole (dyon) condensate in mass deformed N=2 gauge theories. |
1603.05501 | Dmitri Kazakov | D. I. Kazakov and D. E. Vlasenko | Leading and Subleading UV Divergences in Scattering Amplitudes for D=8
N=1 SYM Theory in All Loops | PdfLatex, 16 pages, 5 figures, supplementary Math file | Phys. Rev. D 95, 045006 (2017) | 10.1103/PhysRevD.95.045006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the leading and subleading UV divergences for the four-point
on-shell scattering amplitudes in D=8 N=1 sypersymmetric Yang-Mills theory
within the spinor-helicity and superfield formalism. This theory belongs to the
class of maximally supersymmetric gauge theories and presumably possesses
distinguished properties beyond perturbation theory. We obtain the recursive
relations that allow one to get the leading and subleading divergences in all
loops in a pure algebraic way staring from the one loop (for the leading poles)
and two loop (for the subleading ones) diagrams. As a particular example where
the recursive relations have a simple form we consider the ladder type
diagrams. The all loop summation of the leading and subleading divergences is
performed with the help of the differential equations which are the
generalization of the RG equations for non-renormalizable theories. They have
explicit solutions for the ladder type diagrams. We discuss the properties of
the obtained solutions and interpretation of the results.
| [
{
"created": "Thu, 17 Mar 2016 14:22:44 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jan 2017 08:25:27 GMT",
"version": "v2"
}
] | 2017-03-01 | [
[
"Kazakov",
"D. I.",
""
],
[
"Vlasenko",
"D. E.",
""
]
] | We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in D=8 N=1 sypersymmetric Yang-Mills theory within the spinor-helicity and superfield formalism. This theory belongs to the class of maximally supersymmetric gauge theories and presumably possesses distinguished properties beyond perturbation theory. We obtain the recursive relations that allow one to get the leading and subleading divergences in all loops in a pure algebraic way staring from the one loop (for the leading poles) and two loop (for the subleading ones) diagrams. As a particular example where the recursive relations have a simple form we consider the ladder type diagrams. The all loop summation of the leading and subleading divergences is performed with the help of the differential equations which are the generalization of the RG equations for non-renormalizable theories. They have explicit solutions for the ladder type diagrams. We discuss the properties of the obtained solutions and interpretation of the results. |
2203.07117 | Matthew Headrick | Thomas Faulkner, Thomas Hartman, Matthew Headrick, Mukund Rangamani,
Brian Swingle | Snowmass white paper: Quantum information in quantum field theory and
quantum gravity | 24 + 21 pages; contribution to Snowmass 2021; v2: references added | null | null | BRX-TH-6703 | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | We present a summary of recent progress and remaining challenges in applying
the methods and ideas of quantum information theory to the study of quantum
field theory and quantum gravity. Important topics and themes include:
entanglement entropy in QFTs and what it reveals about RG flows, symmetries,
and phases; scrambling, information spreading, and chaos; state preparation and
complexity; classical and quantum simulation of QFTs; and the role of
information in holographic dualities. We also highlight the ways in which
quantum information science benefits from the synergy between the fields.
| [
{
"created": "Mon, 14 Mar 2022 14:02:50 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2022 20:18:02 GMT",
"version": "v2"
}
] | 2022-04-27 | [
[
"Faulkner",
"Thomas",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Headrick",
"Matthew",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Swingle",
"Brian",
""
]
] | We present a summary of recent progress and remaining challenges in applying the methods and ideas of quantum information theory to the study of quantum field theory and quantum gravity. Important topics and themes include: entanglement entropy in QFTs and what it reveals about RG flows, symmetries, and phases; scrambling, information spreading, and chaos; state preparation and complexity; classical and quantum simulation of QFTs; and the role of information in holographic dualities. We also highlight the ways in which quantum information science benefits from the synergy between the fields. |
1204.5385 | Leonard Susskind | Leonard Susskind | Was There a Beginning? | 4 pages, 2 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note I respond to Vilenkin's claim that there must have been a
beginning.
| [
{
"created": "Tue, 24 Apr 2012 14:27:29 GMT",
"version": "v1"
}
] | 2012-04-25 | [
[
"Susskind",
"Leonard",
""
]
] | In this note I respond to Vilenkin's claim that there must have been a beginning. |
1304.3004 | Igor Kondrashuk | Bernd Kniehl, Igor Kondrashuk, Eduardo A. Notte-Cuello, Ivan Parra
Ferrada, Marko Rojas-Medar | Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions | 12 pages; section added elaborating the connection with
arXiv:1303.6909, 8 references added, minor changes in the text; accepted for
publication in Nucl. Phys. B | null | 10.1016/j.nuclphysb.2013.08.002 | DESY 13-067, BI-TP 2013/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that
multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions
may be reduced to two-fold MB transforms. The MB transforms were written there
as polynomials of logarithms of ratios of squares of the external momenta with
certain coefficients. We also showed that these coefficients have a
combinatoric origin. In this paper, we present an explicit formula for these
coefficients. The procedure of recovering the coefficients is based on taking
the double-uniform limit in certain series of smooth functions of two variables
which is constructed according to a pre-determined iterative way. The result is
obtained by using basic methods of mathematical analysis. We observe that the
finiteness of the limit of this iterative chain of smooth functions should
reflect itself in other mathematical constructions, too, since it is not
related in any way to the explicit form of the MB transforms. This finite
double-uniform limit is represented in terms of a differential operator with
respect to an auxiliary parameter which acts on the integrand of a certain
two-fold MB integral. To demonstrate that our result is compatible with
original representations of UD functions, we reproduce the integrands of these
original integral representations by applying this differential operator to the
integrand of the simple integral representation of the scalar triangle
four-dimensional integral J(1,1,1-e).
| [
{
"created": "Wed, 10 Apr 2013 15:39:59 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2013 12:31:01 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Kniehl",
"Bernd",
""
],
[
"Kondrashuk",
"Igor",
""
],
[
"Notte-Cuello",
"Eduardo A.",
""
],
[
"Ferrada",
"Ivan Parra",
""
],
[
"Rojas-Medar",
"Marko",
""
]
] | In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions may be reduced to two-fold MB transforms. The MB transforms were written there as polynomials of logarithms of ratios of squares of the external momenta with certain coefficients. We also showed that these coefficients have a combinatoric origin. In this paper, we present an explicit formula for these coefficients. The procedure of recovering the coefficients is based on taking the double-uniform limit in certain series of smooth functions of two variables which is constructed according to a pre-determined iterative way. The result is obtained by using basic methods of mathematical analysis. We observe that the finiteness of the limit of this iterative chain of smooth functions should reflect itself in other mathematical constructions, too, since it is not related in any way to the explicit form of the MB transforms. This finite double-uniform limit is represented in terms of a differential operator with respect to an auxiliary parameter which acts on the integrand of a certain two-fold MB integral. To demonstrate that our result is compatible with original representations of UD functions, we reproduce the integrands of these original integral representations by applying this differential operator to the integrand of the simple integral representation of the scalar triangle four-dimensional integral J(1,1,1-e). |
1107.4592 | Gerald S. Guralnik | Gerald Guralnik | Gauge Invariance and the Goldstone Theorem | I am posting this here because I have been receiving requests for
copies since the original proceedings are not readily available | Mod.Phys.Lett.A26:1381-1392,2011 | 10.1142/S0217732311036188 | BROWN-HET-1610 | hep-th hep-ph physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This manuscript was originally created for and printed in the "Proceedings of
seminar on unified theories of elementary particles" held in Feldafing Germany
from July 5 to 16 1965 under the auspices of the Max-Planck-Institute for
Physics and Astrophysics in Munich. It details and expands upon the Guralnik,
Hagen, and Kibble paper that shows that the Goldstone theorem does not require
physical zero mass particles in gauge theories and provides an example through
the model which has become the template for the unified electroweak theory and
a main component of the Standard Model.
| [
{
"created": "Fri, 22 Jul 2011 18:50:48 GMT",
"version": "v1"
}
] | 2011-08-04 | [
[
"Guralnik",
"Gerald",
""
]
] | This manuscript was originally created for and printed in the "Proceedings of seminar on unified theories of elementary particles" held in Feldafing Germany from July 5 to 16 1965 under the auspices of the Max-Planck-Institute for Physics and Astrophysics in Munich. It details and expands upon the Guralnik, Hagen, and Kibble paper that shows that the Goldstone theorem does not require physical zero mass particles in gauge theories and provides an example through the model which has become the template for the unified electroweak theory and a main component of the Standard Model. |
1208.3469 | Masahiro Nozaki | Masahiro Nozaki, Shinsei Ryu and Tadashi Takayanagi | Holographic Geometry of Entanglement Renormalization in Quantum Field
Theories | 42pages, 9figures, reference added, minor change | JHEP10(2012)193 | 10.1007/JHEP10(2012)193 | YITP-12-72; IPMU12-0159 | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a conjectured connection between the AdS/CFT and a real-space
quantum renormalization group scheme, the multi-scale entanglement
renormalization ansatz (MERA). By making a close contact with the holographic
formula of the entanglement entropy, we propose a general definition of the
metric in the MERA in the extra holographic direction, which is formulated
purely in terms of quantum field theoretical data. Using the continuum version
of the MERA (cMERA), we calculate this emergent holographic metric explicitly
for free scalar boson and free fermions theories, and check that the metric so
computed has the properties expected from AdS/CFT. We also discuss the cMERA in
a time-dependent background induced by quantum quench and estimate its
corresponding metric.
| [
{
"created": "Thu, 16 Aug 2012 20:00:13 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Sep 2012 11:24:57 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Oct 2012 11:07:58 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Nozaki",
"Masahiro",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | We study a conjectured connection between the AdS/CFT and a real-space quantum renormalization group scheme, the multi-scale entanglement renormalization ansatz (MERA). By making a close contact with the holographic formula of the entanglement entropy, we propose a general definition of the metric in the MERA in the extra holographic direction, which is formulated purely in terms of quantum field theoretical data. Using the continuum version of the MERA (cMERA), we calculate this emergent holographic metric explicitly for free scalar boson and free fermions theories, and check that the metric so computed has the properties expected from AdS/CFT. We also discuss the cMERA in a time-dependent background induced by quantum quench and estimate its corresponding metric. |
2107.09870 | Richard Easther | Lerh Feng Low, Richard Easther, Shaun Hotchkiss | Inflation in a Gaussian Random Landscape | 21 pages, 13 figures; v2 fixed typo in metadata | null | 10.1088/1475-7516/2022/12/014 | null | hep-th astro-ph.CO cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Random, multifield functions can set generic expectations for landscape-style
cosmologies. We consider the inflationary implications of a landscape defined
by a Gaussian random function, which is perhaps the simplest such scenario.
Many key properties of this landscape, including the distribution of saddles as
a function of height in the potential, depend only on its dimensionality, $N$,
and a single parameter, ${\gamma}$, which is set by the power spectrum of the
random function. We show that for saddles with a single downhill direction the
negative mass term grows smaller, relative to the average mass, as $N$
increases, a result with potential implications for the ${\eta}$-problem in
landscape scenarios. For some power spectra Planck-scale saddles have ${\eta}
\sim 1$ and eternal, topological inflation would be common in these scenarios.
Lower-lying saddles typically have large ${\eta}$, but the fraction of these
saddles which would support inflation is computable, allowing us to identify
which scenarios can deliver a universe that resembles ours. Finally, by drawing
inferences about the relative viability of different multiverse proposals we
also illustrate ways in which quantitative analyses of multiverse scenarios are
feasible.
| [
{
"created": "Wed, 21 Jul 2021 04:05:29 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jul 2021 04:40:49 GMT",
"version": "v2"
}
] | 2022-12-21 | [
[
"Low",
"Lerh Feng",
""
],
[
"Easther",
"Richard",
""
],
[
"Hotchkiss",
"Shaun",
""
]
] | Random, multifield functions can set generic expectations for landscape-style cosmologies. We consider the inflationary implications of a landscape defined by a Gaussian random function, which is perhaps the simplest such scenario. Many key properties of this landscape, including the distribution of saddles as a function of height in the potential, depend only on its dimensionality, $N$, and a single parameter, ${\gamma}$, which is set by the power spectrum of the random function. We show that for saddles with a single downhill direction the negative mass term grows smaller, relative to the average mass, as $N$ increases, a result with potential implications for the ${\eta}$-problem in landscape scenarios. For some power spectra Planck-scale saddles have ${\eta} \sim 1$ and eternal, topological inflation would be common in these scenarios. Lower-lying saddles typically have large ${\eta}$, but the fraction of these saddles which would support inflation is computable, allowing us to identify which scenarios can deliver a universe that resembles ours. Finally, by drawing inferences about the relative viability of different multiverse proposals we also illustrate ways in which quantitative analyses of multiverse scenarios are feasible. |
hep-th/0109071 | Dmitri Antonov | Dmitri Antonov (INFN, Pisa) | Monopole potential and confining strings in the (2+1)-dimensional
Georgi-Glashow model | Talk given at the 6th Workshop on Nonperturbative QCD, Paris, France,
June 5th-9th, 2001; 6 pages, LaTeX2e, uses ws-p8-50x6-00.cls, no figures | null | 10.1142/9789812778352_0009 | null | hep-th | null | Confining strings are investigated in the (2+1)D Georgi-Glashow model. This
is done in the limit when the electric coupling constant is much larger than
the square root of the mass of the Higgs field, but much smaller than the
vacuum expectation value of this field. The modification of the Debye mass of
the dual photon with respect to the case when it is considered to be negligibly
small compared to the Higgs mass, is found. Analogous modifications of the
potential of monopole densities and string coupling constants are found as
well.
| [
{
"created": "Sat, 8 Sep 2001 09:59:19 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Antonov",
"Dmitri",
"",
"INFN, Pisa"
]
] | Confining strings are investigated in the (2+1)D Georgi-Glashow model. This is done in the limit when the electric coupling constant is much larger than the square root of the mass of the Higgs field, but much smaller than the vacuum expectation value of this field. The modification of the Debye mass of the dual photon with respect to the case when it is considered to be negligibly small compared to the Higgs mass, is found. Analogous modifications of the potential of monopole densities and string coupling constants are found as well. |
1212.4448 | Rafael Augusto Couceiro Correa | A. de Souza Dutra and R. A. C. Correa | Coupled scalar fields Oscillons and Breathers in some Lorentz Violating
Scenarios | null | null | 10.1155/2015/673716 | null | hep-th nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we discuss the impact of the breaking of the Lorentz symmetry on
the usual oscillons, the so-called flat-top oscillons, and the breathers. Our
analysis is performed by using a Lorentz violation scenario rigorously derived
in the literature. We show that the Lorentz violation is responsible for the
origin of a kind of deformation of the configuration, where the field
configuration becomes oscillatory in a localized region near its maximum value.
Furthermore, we show that the Lorentz breaking symmetry produces a displacement
of the oscillon along the spatial direction, the same feature is present in the
case of breathers. We also show that the effect of a Lorentz violation in the
flat-top oscillon solution is responsible by the shrinking of the flat-top.
Furthermore, we find analytically the outgoing radiation, this result indicates
that the amplitude of the outgoing radiation is controlled by the Lorentz
breaking parameter, in such away that this oscillon becomes more unstable than
its symmetric counterpart, however, it still has a long living nature.
| [
{
"created": "Tue, 18 Dec 2012 18:00:33 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2013 19:09:36 GMT",
"version": "v2"
},
{
"created": "Wed, 7 May 2014 03:26:52 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Feb 2015 14:12:34 GMT",
"version": "v4"
}
] | 2015-03-25 | [
[
"Dutra",
"A. de Souza",
""
],
[
"Correa",
"R. A. C.",
""
]
] | In this work we discuss the impact of the breaking of the Lorentz symmetry on the usual oscillons, the so-called flat-top oscillons, and the breathers. Our analysis is performed by using a Lorentz violation scenario rigorously derived in the literature. We show that the Lorentz violation is responsible for the origin of a kind of deformation of the configuration, where the field configuration becomes oscillatory in a localized region near its maximum value. Furthermore, we show that the Lorentz breaking symmetry produces a displacement of the oscillon along the spatial direction, the same feature is present in the case of breathers. We also show that the effect of a Lorentz violation in the flat-top oscillon solution is responsible by the shrinking of the flat-top. Furthermore, we find analytically the outgoing radiation, this result indicates that the amplitude of the outgoing radiation is controlled by the Lorentz breaking parameter, in such away that this oscillon becomes more unstable than its symmetric counterpart, however, it still has a long living nature. |
2005.13394 | Piotr Kucharski | Piotr Kucharski | Quivers for 3-manifolds: the correspondence, BPS states, and 3d
$\mathcal{N}$=2 theories | 25 pages, 2 figures | null | 10.1007/JHEP09(2020)075 | null | hep-th math-ph math.GT math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and explore the relation between quivers and 3-manifolds with
the topology of the knot complement. This idea can be viewed as an adaptation
of the knots-quivers correspondence to Gukov-Manolescu invariants of knot
complements (also known as $F_K$ or $\hat{Z}$). Apart from assigning quivers to
complements of $T^{(2,2p+1)}$ torus knots, we study the physical interpretation
in terms of the BPS spectrum and general structure of 3d $\mathcal{N}=2$
theories associated to both sides of the correspondence. We also make a step
towards categorification by proposing a $t$-deformation of all objects
mentioned above.
| [
{
"created": "Wed, 27 May 2020 14:50:24 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2020 17:53:45 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Kucharski",
"Piotr",
""
]
] | We introduce and explore the relation between quivers and 3-manifolds with the topology of the knot complement. This idea can be viewed as an adaptation of the knots-quivers correspondence to Gukov-Manolescu invariants of knot complements (also known as $F_K$ or $\hat{Z}$). Apart from assigning quivers to complements of $T^{(2,2p+1)}$ torus knots, we study the physical interpretation in terms of the BPS spectrum and general structure of 3d $\mathcal{N}=2$ theories associated to both sides of the correspondence. We also make a step towards categorification by proposing a $t$-deformation of all objects mentioned above. |
2311.05279 | Osvaldo Pablo Santillan | A. Morano and O. Santill\'an | About gravitational radiation of semi local strings with non compact
internal modes | 19 pages, one figure, english improved and the calculations have been
elaborated more | null | null | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present work studies the gravitational radiation of a non abelian vortex
with a non compact internal moduli describing its excitations. This situation
may be realised by semi-local supersymmetric vortices
\cite{novedad1}-\cite{reviewshifman}, although supersymmetry is not necessary
for this to happen. In the situation considered along this work, the internal
space has infinite volume, and a largely energetic perturbation propagates
along the object, even though the vortex line may not be moving. A specific
configuration is presented, in which the internal space is the resolved
conifold with its Ricci flat metric. The curious feature about it is that it
corresponds to a static vortex, that is, the perturbation is only due to the
internal modes. Even being static, the emission of gravitational radiation is
in the present case of considerable order. This suggest that the presence of
slowly moving objects that can emit a large amount of gravitational radiation
is a hint of non abelianity.
| [
{
"created": "Thu, 9 Nov 2023 11:20:51 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2023 02:25:11 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Apr 2024 00:49:39 GMT",
"version": "v3"
}
] | 2024-04-25 | [
[
"Morano",
"A.",
""
],
[
"Santillán",
"O.",
""
]
] | The present work studies the gravitational radiation of a non abelian vortex with a non compact internal moduli describing its excitations. This situation may be realised by semi-local supersymmetric vortices \cite{novedad1}-\cite{reviewshifman}, although supersymmetry is not necessary for this to happen. In the situation considered along this work, the internal space has infinite volume, and a largely energetic perturbation propagates along the object, even though the vortex line may not be moving. A specific configuration is presented, in which the internal space is the resolved conifold with its Ricci flat metric. The curious feature about it is that it corresponds to a static vortex, that is, the perturbation is only due to the internal modes. Even being static, the emission of gravitational radiation is in the present case of considerable order. This suggest that the presence of slowly moving objects that can emit a large amount of gravitational radiation is a hint of non abelianity. |
hep-th/0511195 | Changrim Ahn | Changrim Ahn, Chanju Kim, Jaemo Park, Takao Suyama, Masayoshi Yamamoto | Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic
Black Holes | 18 pages, no figure | JHEP0601:124,2006 | 10.1088/1126-6708/2006/01/124 | null | hep-th | null | We consider a ${\hat c}=1$ model in the fermionic black hole background. For
this purpose we consider a model which contains both the N=1 and the N=2
super-Liouville interactions. We propose that this model is dual to a recently
proposed type 0A matrix quantum mechanics model with vortex deformations. We
support our conjecture by showing that non-perturbative corrections to the free
energy computed by both the matrix model and the super-Liouville theories agree
exactly by treating the N=2 interaction as a small perturbation. We also show
that a two-point function on sphere calculated from the deformed type 0A matrix
model is consistent with that of the N=2 super-Liouville theory when the N=1
interaction becomes small. This duality between the matrix model and
super-Liouville theories leads to a conjecture for arbitrary $n$-point
correlation functions of the N=1 super-Liouville theory on the sphere.
| [
{
"created": "Sat, 19 Nov 2005 03:52:41 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Ahn",
"Changrim",
""
],
[
"Kim",
"Chanju",
""
],
[
"Park",
"Jaemo",
""
],
[
"Suyama",
"Takao",
""
],
[
"Yamamoto",
"Masayoshi",
""
]
] | We consider a ${\hat c}=1$ model in the fermionic black hole background. For this purpose we consider a model which contains both the N=1 and the N=2 super-Liouville interactions. We propose that this model is dual to a recently proposed type 0A matrix quantum mechanics model with vortex deformations. We support our conjecture by showing that non-perturbative corrections to the free energy computed by both the matrix model and the super-Liouville theories agree exactly by treating the N=2 interaction as a small perturbation. We also show that a two-point function on sphere calculated from the deformed type 0A matrix model is consistent with that of the N=2 super-Liouville theory when the N=1 interaction becomes small. This duality between the matrix model and super-Liouville theories leads to a conjecture for arbitrary $n$-point correlation functions of the N=1 super-Liouville theory on the sphere. |
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