id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9604101 | Tomasz Brzezinski | Tomasz Brzezinski | Separation of Variables and Vacuum Structure of N=2 SUSY QCD | LaTeX, 9 pages, various changes and generalisations (in particular in
Section 4) | Phys.Lett. B383 (1996) 294-300 | 10.1016/0370-2693(96)00757-5 | DAMTP/96-43 | hep-th | null | We show how the method of separation of variables can be used to construct
integrable models corresponding to curves describing vacuum structure of
four-dimensional ${\cal N} = 2$ SUSY Yang-Mills theories. We use this technique
to construct models corresponding to $SU(N)$ Yang-Mills theory with $N_f<2N$
matter hypermultiplets by generalising the periodic Toda lattice. We also show
that some special cases of massive $SU(3)$ gauge theory can be equivalently
described by the generalisations of the Goryachev-Chaplygin top obtained via
separation of variables.
| [
{
"created": "Wed, 17 Apr 1996 19:04:05 GMT",
"version": "v1"
},
{
"created": "Mon, 6 May 1996 12:59:37 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Brzezinski",
"Tomasz",
""
]
] | We show how the method of separation of variables can be used to construct integrable models corresponding to curves describing vacuum structure of four-dimensional ${\cal N} = 2$ SUSY Yang-Mills theories. We use this technique to construct models corresponding to $SU(N)$ Yang-Mills theory with $N_f<2N$ matter hypermultiplets by generalising the periodic Toda lattice. We also show that some special cases of massive $SU(3)$ gauge theory can be equivalently described by the generalisations of the Goryachev-Chaplygin top obtained via separation of variables. |
2201.11741 | Mohammad Reza Setare | M. R. Setare and M. Koohgard | The reflected entropy in the GMMG/GCFT flat holography | 26 pages, 5 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We extend the reflected entropy to the bipartite state in a two dimensional
Galilean conformal field theory ($GCFT_2$) which is dual to the asymptotically
flat spacetime described by the generalized minimal massive gravity (GMMG). To
this end we consider the Renyi entanglement entropy formula that can be related
to the reflected entropy by some manipulations of the replica technique. In a
limited case, we find the reflected entropy is twice the minimal entanglement
wedge cross section (EWCS) and this is an evidence on the relation between the
reflected entropy and the EWCS in the flat holography scenario.
| [
{
"created": "Sat, 1 Jan 2022 05:55:21 GMT",
"version": "v1"
}
] | 2022-01-28 | [
[
"Setare",
"M. R.",
""
],
[
"Koohgard",
"M.",
""
]
] | We extend the reflected entropy to the bipartite state in a two dimensional Galilean conformal field theory ($GCFT_2$) which is dual to the asymptotically flat spacetime described by the generalized minimal massive gravity (GMMG). To this end we consider the Renyi entanglement entropy formula that can be related to the reflected entropy by some manipulations of the replica technique. In a limited case, we find the reflected entropy is twice the minimal entanglement wedge cross section (EWCS) and this is an evidence on the relation between the reflected entropy and the EWCS in the flat holography scenario. |
2308.03225 | Victor Eugen Ambru\c{s} | Victor E. Ambru\c{s} and Maxim N. Chernodub | Acceleration as a circular motion along an imaginary circle:
Kubo-Martin-Schwinger condition for accelerating field theories in
imaginary-time formalism | 9 pages, 2 figures | Phys. Lett. B 855 (2024) 138757 | 10.1016/j.physletb.2024.138757 | null | hep-th cond-mat.stat-mech gr-qc hep-lat | http://creativecommons.org/licenses/by/4.0/ | We discuss the imaginary-time formalism for field theories in thermal
equilibrium in uniformly accelerating frames. We show that under a Wick
rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point
in a two-dimensional subspace tangential to the acceleration direction and the
imaginary time. We demonstrate that the accelerated version of the
Kubo-Martin-Schwinger (KMS) condition implies an identification of all
spacetime points related by integer-multiple rotations in the tangential
subspace about this Euclidean Rindler event-horizon point, with the rotational
quanta defined by the thermal acceleration, $\alpha = a/T$. In the Wick-rotated
Rindler hyperbolic coordinates, the KMS relations reduce to standard
(anti-)periodic boundary conditions in terms of the imaginary proper time
(rapidity) coordinate. Our findings pave the way to study, using
first-principle lattice simulations, the Hawking-Unruh radiation in geometries
with event horizons, phase transitions in accelerating Early Universe and early
stages of quark-gluon plasma created in relativistic heavy-ion collisions.
| [
{
"created": "Sun, 6 Aug 2023 23:09:19 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jun 2024 08:24:46 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Ambruş",
"Victor E.",
""
],
[
"Chernodub",
"Maxim N.",
""
]
] | We discuss the imaginary-time formalism for field theories in thermal equilibrium in uniformly accelerating frames. We show that under a Wick rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point in a two-dimensional subspace tangential to the acceleration direction and the imaginary time. We demonstrate that the accelerated version of the Kubo-Martin-Schwinger (KMS) condition implies an identification of all spacetime points related by integer-multiple rotations in the tangential subspace about this Euclidean Rindler event-horizon point, with the rotational quanta defined by the thermal acceleration, $\alpha = a/T$. In the Wick-rotated Rindler hyperbolic coordinates, the KMS relations reduce to standard (anti-)periodic boundary conditions in terms of the imaginary proper time (rapidity) coordinate. Our findings pave the way to study, using first-principle lattice simulations, the Hawking-Unruh radiation in geometries with event horizons, phase transitions in accelerating Early Universe and early stages of quark-gluon plasma created in relativistic heavy-ion collisions. |
hep-th/9406075 | Marco Frasca | Marco Frasca | The Strong Perturbation Approach for the Dirac Equation in a Gauge Field | 4 pages, LaTeX | null | null | null | hep-th | null | We discuss a possible approach to the problem of a gauge theory with a strong
coupling constant. It is seen that, instead of plane waves, we have to consider
the adiabatic eigenstates of the perturbation in order to get a meaningful
perturbation approach.
| [
{
"created": "Mon, 13 Jun 1994 22:13:36 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jun 1994 00:03:09 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Frasca",
"Marco",
""
]
] | We discuss a possible approach to the problem of a gauge theory with a strong coupling constant. It is seen that, instead of plane waves, we have to consider the adiabatic eigenstates of the perturbation in order to get a meaningful perturbation approach. |
0907.2242 | Olaf Lechtenfeld | Anton Galajinsky, Olaf Lechtenfeld | Harmonic N=2 Mechanics | 1+8 pages | Phys.Rev.D80:065012,2009 | 10.1103/PhysRevD.80.065012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N=2 superconformal many-body quantum mechanics in arbitrary dimensions is
governed by a single scalar prepotential which determines the bosonic potential
and the boson-fermion couplings. We present a special class of such models, for
which the bosonic potential is absent. They are classified by homogeneous
harmonic functions subject to physical symmetry requirements, such as
translation, rotation and permutation invariance. The central charge is
naturally quantized. We provide some examples for systems of identical
particles in any dimension.
| [
{
"created": "Mon, 13 Jul 2009 20:02:19 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Galajinsky",
"Anton",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | N=2 superconformal many-body quantum mechanics in arbitrary dimensions is governed by a single scalar prepotential which determines the bosonic potential and the boson-fermion couplings. We present a special class of such models, for which the bosonic potential is absent. They are classified by homogeneous harmonic functions subject to physical symmetry requirements, such as translation, rotation and permutation invariance. The central charge is naturally quantized. We provide some examples for systems of identical particles in any dimension. |
1512.08858 | Patrick Cooper | Patrick Cooper, Daniel Zwanziger | Local QCD Action at Finite Temperature | null | Phys. Rev. D 93, 105026 (2016) | 10.1103/PhysRevD.93.105026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we carefully derive the horizon condition at finite
temperature. Only the zero Matsubara mode is affected, and this result is
consistent with the suitably modified Maggiore-Schaden shift, which takes into
account temporal periodicity. We thus obtain a local, BRST-invariant action for
QCD at finite temperature. The large-N limit and other calculational schemes
for the magnetic mass and its relation to the Gribov mass are also discussed.
| [
{
"created": "Wed, 30 Dec 2015 06:11:16 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2016 22:58:43 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Apr 2016 01:55:41 GMT",
"version": "v3"
}
] | 2016-05-25 | [
[
"Cooper",
"Patrick",
""
],
[
"Zwanziger",
"Daniel",
""
]
] | In this article, we carefully derive the horizon condition at finite temperature. Only the zero Matsubara mode is affected, and this result is consistent with the suitably modified Maggiore-Schaden shift, which takes into account temporal periodicity. We thus obtain a local, BRST-invariant action for QCD at finite temperature. The large-N limit and other calculational schemes for the magnetic mass and its relation to the Gribov mass are also discussed. |
hep-th/9411199 | Shiekh Andy | A.Y. Shiekh | Quantum Canonical Transformations revisited | 8 pages, LaTeX | J.Math.Phys.36:6681,1995 | 10.1063/1.531181 | IC/94/371 | hep-th funct-an hep-lat math.FA | null | A preferred form for the path integral discretization is suggested that
allows the implementation of canonical transformations in quantum theory.
| [
{
"created": "Mon, 28 Nov 1994 10:42:08 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Shiekh",
"A. Y.",
""
]
] | A preferred form for the path integral discretization is suggested that allows the implementation of canonical transformations in quantum theory. |
hep-th/9903228 | Leonard Susskind | Joseph Polchinski, Leonard Susskind and Nicolaos Toumbas | Negative Energy, Superluminosity and Holography | Expanded version replacing earlier hep-th/9902182 | Phys.Rev.D60:084006,1999 | 10.1103/PhysRevD.60.084006 | null | hep-th | null | The holographic connection between large $N$ Super Yang Mills theory and
gravity in anti deSitter space requires unfamiliar behavior of the SYM theory
in the limit that the curvature of the AdS geometry becomes small. The
paradoxical behavior includes superluminal oscillations and negative energy
density. These effects typically occur in the SYM description of events which
take place far from the boundary of AdS when the signal from the event arrives
at the boundary. The paradoxes can be resolved by assuming a very rich
collection of hidden degrees of freedom of the SYM theory which store
information but give rise to no local energy density. These degrees of freedom,
called precursors, are needed to make possible sudden apparently acausal energy
momentum flows. Such behavior would be impossible in classical field theory as
a consequence of the positivity of the energy density. However we show that
these effects are not only allowed in quantum field theory but that we can
model them in free quantum field theory.
| [
{
"created": "Fri, 26 Mar 1999 00:37:59 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 1999 22:44:47 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Apr 1999 18:11:36 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Jun 1999 18:29:57 GMT",
"version": "v4"
}
] | 2009-10-07 | [
[
"Polchinski",
"Joseph",
""
],
[
"Susskind",
"Leonard",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] | The holographic connection between large $N$ Super Yang Mills theory and gravity in anti deSitter space requires unfamiliar behavior of the SYM theory in the limit that the curvature of the AdS geometry becomes small. The paradoxical behavior includes superluminal oscillations and negative energy density. These effects typically occur in the SYM description of events which take place far from the boundary of AdS when the signal from the event arrives at the boundary. The paradoxes can be resolved by assuming a very rich collection of hidden degrees of freedom of the SYM theory which store information but give rise to no local energy density. These degrees of freedom, called precursors, are needed to make possible sudden apparently acausal energy momentum flows. Such behavior would be impossible in classical field theory as a consequence of the positivity of the energy density. However we show that these effects are not only allowed in quantum field theory but that we can model them in free quantum field theory. |
2207.10416 | Sudarshan Ananth | Sudarshan Ananth, Nipun Bhave and S.I. Aadharsh Raj | The structure of interaction vertices in pure gravity in the light-cone
gauge | 16 pages | Phys.Lett. B838 (2023) 137743 | 10.1016/j.physletb.2023.137743 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first truly non-MHV interaction vertices in the light-cone formulation of
pure gravity appear at order 6. From a closed form expression, for gravitation
in the light-cone gauge, we extract and present all 6-point interaction
vertices. We invoke symmetry arguments to explain the structure of these
vertices. Symmetry considerations also allow us to place constraints on the
structure of all even- and odd-point vertices in the theory. The origin of MHV
vertices within this formalism is also discussed.
| [
{
"created": "Thu, 21 Jul 2022 11:21:39 GMT",
"version": "v1"
}
] | 2023-02-08 | [
[
"Ananth",
"Sudarshan",
""
],
[
"Bhave",
"Nipun",
""
],
[
"Raj",
"S. I. Aadharsh",
""
]
] | The first truly non-MHV interaction vertices in the light-cone formulation of pure gravity appear at order 6. From a closed form expression, for gravitation in the light-cone gauge, we extract and present all 6-point interaction vertices. We invoke symmetry arguments to explain the structure of these vertices. Symmetry considerations also allow us to place constraints on the structure of all even- and odd-point vertices in the theory. The origin of MHV vertices within this formalism is also discussed. |
hep-th/9806234 | Alex Buchel | Philip C. Argyres and Alex Buchel | The Nonperturbative Gauge Coupling of N=2 Supersymmetric Theories | 9 pages latex and 2 figures using psfig.sty; computation of S-duality
group corrected and reference added | Phys.Lett. B442 (1998) 180-184 | 10.1016/S0370-2693(98)01235-0 | CLNS-98/1565 | hep-th | null | We argue that the topology of the quantum coupling space and the low energy
effective action on the Coulomb branch of scale invariant N=2 SU(n) gauge
theories pick out a preferred nonperturbative definition of the gauge coupling
up to non-singular holomorphic reparametrizations.
| [
{
"created": "Mon, 29 Jun 1998 17:57:48 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 1998 01:59:05 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Argyres",
"Philip C.",
""
],
[
"Buchel",
"Alex",
""
]
] | We argue that the topology of the quantum coupling space and the low energy effective action on the Coulomb branch of scale invariant N=2 SU(n) gauge theories pick out a preferred nonperturbative definition of the gauge coupling up to non-singular holomorphic reparametrizations. |
hep-th/9702177 | null | Alexander A.Vlasov | The Lorentz-Dirac Equation: One More Paradox of Preacceleration | 5 pages, LATEX | null | null | null | hep-th | null | One more paradox of classical Lorentz-Dirac preaccelerative solution is
found: the formation of the event horizon.
| [
{
"created": "Mon, 24 Feb 1997 22:08:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vlasov",
"Alexander A.",
""
]
] | One more paradox of classical Lorentz-Dirac preaccelerative solution is found: the formation of the event horizon. |
hep-th/9702086 | null | H. Lu and C.N. Pope | p-brane Taxonomy | Latex, 45 pages | null | null | CTP-TAMU-11/97, LPTENS-97/06 | hep-th | null | We review an approach to the construction and classification of p-brane
solitons in arbitrary dimensions, with an emphasis on those that arise in
toroidally-compactified M-theory. Procedures for constructing the low-energy
supergravity limits in arbitrary dimensions, and for studying the supersymmetry
properties of the solitons are presented. Wide classes of p-brane solutions are
obtained, and their properties and classification in terms of bound states and
intersections of M-branes are described. (Based on lectures presented at the
Summer School in High-Energy Physics and Cosmology, Trieste, Italy, 10 Jun - 26
Jul 1996.)
| [
{
"created": "Mon, 10 Feb 1997 23:52:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We review an approach to the construction and classification of p-brane solitons in arbitrary dimensions, with an emphasis on those that arise in toroidally-compactified M-theory. Procedures for constructing the low-energy supergravity limits in arbitrary dimensions, and for studying the supersymmetry properties of the solitons are presented. Wide classes of p-brane solutions are obtained, and their properties and classification in terms of bound states and intersections of M-branes are described. (Based on lectures presented at the Summer School in High-Energy Physics and Cosmology, Trieste, Italy, 10 Jun - 26 Jul 1996.) |
0908.1395 | Gerald Cleaver | Matthew B. Robinson, Tibra Ali, and Gerald B. Cleaver | A Simple Introduction to Particle Physics Part II | 383 pages, latex | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the second in a series of papers intended to provide a basic overview
of some of the major ideas in particle physics. Part I [arXiv:0810.3328] was
primarily an algebraic exposition of gauge theories. We developed the group
theoretic tools needed to understand the basic construction of gauge theory, as
well as the physical concepts and tools to understand the structure of the
Standard Model of Particle Physics as a gauge theory.
In this paper (and the paper to follow), we continue our emphasis on gauge
theories, but we do so with a more geometrical approach. We will conclude this
paper with a brief discussion of general relativity, and save more advanced
topics (including fibre bundles, characteristic classes, etc.) for the next
paper in the series.
We wish to reiterate that these notes are not intended to be a comprehensive
introduction to any of the ideas contained in them. Their purpose is to
introduce the "forest" rather than the "trees". The primary emphasis is on the
algebraic/geometric/mathematical underpinnings rather than the
calculational/phenomenological details. The topics were chosen according to the
authors' preferences and agenda.
These notes are intended for a student who has completed the standard
undergraduate physics and mathematics courses, as well as the material
contained in the first paper in this series. Having studied the material in the
"Further Reading" sections of would be ideal, but the material in this series
of papers is intended to be self-contained, and familiarity with the first
paper will suffice.
| [
{
"created": "Mon, 10 Aug 2009 19:44:03 GMT",
"version": "v1"
}
] | 2009-09-30 | [
[
"Robinson",
"Matthew B.",
""
],
[
"Ali",
"Tibra",
""
],
[
"Cleaver",
"Gerald B.",
""
]
] | This is the second in a series of papers intended to provide a basic overview of some of the major ideas in particle physics. Part I [arXiv:0810.3328] was primarily an algebraic exposition of gauge theories. We developed the group theoretic tools needed to understand the basic construction of gauge theory, as well as the physical concepts and tools to understand the structure of the Standard Model of Particle Physics as a gauge theory. In this paper (and the paper to follow), we continue our emphasis on gauge theories, but we do so with a more geometrical approach. We will conclude this paper with a brief discussion of general relativity, and save more advanced topics (including fibre bundles, characteristic classes, etc.) for the next paper in the series. We wish to reiterate that these notes are not intended to be a comprehensive introduction to any of the ideas contained in them. Their purpose is to introduce the "forest" rather than the "trees". The primary emphasis is on the algebraic/geometric/mathematical underpinnings rather than the calculational/phenomenological details. The topics were chosen according to the authors' preferences and agenda. These notes are intended for a student who has completed the standard undergraduate physics and mathematics courses, as well as the material contained in the first paper in this series. Having studied the material in the "Further Reading" sections of would be ideal, but the material in this series of papers is intended to be self-contained, and familiarity with the first paper will suffice. |
1501.05074 | Jan Troost | Antoine Bourget and Jan Troost | Duality and Modularity in Elliptic Integrable Systems and Vacua of N=1*
Gauge Theories | 35 pages, many figures | null | 10.1007/JHEP04(2015)128 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study complexified elliptic Calogero-Moser integrable systems. We
determine the value of the potential at isolated extrema, as a function of the
modular parameter of the torus on which the integrable system lives. We
calculate the extrema for low rank B,C,D root systems using a mix of analytical
and numerical tools. For so(5) we find convincing evidence that the extrema
constitute a vector valued modular form for a congruence subgroup of the
modular group. For so(7) and so(8), the extrema split into two sets. One set
contains extrema that make up vector valued modular forms for congruence
subgroups, and a second set contains extrema that exhibit monodromies around
points in the interior of the fundamental domain. The former set can be
described analytically, while for the latter, we provide an analytic value for
the point of monodromy for so(8), as well as extensive numerical predictions
for the Fourier coefficients of the extrema. Our results on the extrema provide
a rationale for integrality properties observed in integrable models, and embed
these into the theory of vector valued modular forms. Moreover, using the data
we gather on the modularity of complexified integrable system extrema, we
analyse the massive vacua of mass deformed N=4 supersymmetric Yang-Mills
theories with low rank gauge group of type B,C and D. We map out their
transformation properties under the infrared electric-magnetic duality group as
well as under triality for N=1* with gauge algebra so(8). We find several
intriguing properties of the quantum gauge theories.
| [
{
"created": "Wed, 21 Jan 2015 07:03:43 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 2015 12:03:46 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Bourget",
"Antoine",
""
],
[
"Troost",
"Jan",
""
]
] | We study complexified elliptic Calogero-Moser integrable systems. We determine the value of the potential at isolated extrema, as a function of the modular parameter of the torus on which the integrable system lives. We calculate the extrema for low rank B,C,D root systems using a mix of analytical and numerical tools. For so(5) we find convincing evidence that the extrema constitute a vector valued modular form for a congruence subgroup of the modular group. For so(7) and so(8), the extrema split into two sets. One set contains extrema that make up vector valued modular forms for congruence subgroups, and a second set contains extrema that exhibit monodromies around points in the interior of the fundamental domain. The former set can be described analytically, while for the latter, we provide an analytic value for the point of monodromy for so(8), as well as extensive numerical predictions for the Fourier coefficients of the extrema. Our results on the extrema provide a rationale for integrality properties observed in integrable models, and embed these into the theory of vector valued modular forms. Moreover, using the data we gather on the modularity of complexified integrable system extrema, we analyse the massive vacua of mass deformed N=4 supersymmetric Yang-Mills theories with low rank gauge group of type B,C and D. We map out their transformation properties under the infrared electric-magnetic duality group as well as under triality for N=1* with gauge algebra so(8). We find several intriguing properties of the quantum gauge theories. |
1603.06959 | James T. Liu | Youngshin Kim and James T. Liu | Holographic Lifshitz fermions and exponentially suppressed spectral
weight | 19 pages, 1 figure, references added and comments on exponential
suppression of spectral weight clarified | null | 10.1007/JHEP07(2016)117 | MCTP-16-07, YITP-SB-16-7 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The absence of fixed momentum excitations in a theory with Lifshitz scale
invariance gives rise to exponential suppression of spectral weight in the
low-frequency limit. In the holographic dual, this suppression arises as a
consequence of a tunneling barrier that decouples the horizon from the
boundary. We compute the spin-1/2 holographic Green's function and show that
the form of the barrier is identical to that of the scalar case. We furthermore
demonstrate that the suppression factor is universal in the $\hat\omega\to0$
limit where $\hat\omega=\omega/|\vec k|^z$. In particular, it depends only on
$\hat\omega$ and the critical exponent $z$, and is independent of scaling
dimension and spin.
| [
{
"created": "Tue, 22 Mar 2016 20:05:15 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2016 18:11:25 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Sep 2016 15:10:16 GMT",
"version": "v3"
}
] | 2016-09-26 | [
[
"Kim",
"Youngshin",
""
],
[
"Liu",
"James T.",
""
]
] | The absence of fixed momentum excitations in a theory with Lifshitz scale invariance gives rise to exponential suppression of spectral weight in the low-frequency limit. In the holographic dual, this suppression arises as a consequence of a tunneling barrier that decouples the horizon from the boundary. We compute the spin-1/2 holographic Green's function and show that the form of the barrier is identical to that of the scalar case. We furthermore demonstrate that the suppression factor is universal in the $\hat\omega\to0$ limit where $\hat\omega=\omega/|\vec k|^z$. In particular, it depends only on $\hat\omega$ and the critical exponent $z$, and is independent of scaling dimension and spin. |
2002.05372 | Augusto Sagnotti Prof. | J. Mourad and A. Sagnotti | On Boundaries, Charges and Fermi Fields | 12 pages, LaTeX | null | 10.1016/j.physletb.2020.135368 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address some general issues related to torsion and Noether currents for
Fermi fields in the presence of boundaries, with emphasis on the conditions
that guarantee charge conservation. We also describe exact solutions of these
boundary conditions and some implications for string vacua with broken
supersymmetry.
| [
{
"created": "Thu, 13 Feb 2020 07:11:44 GMT",
"version": "v1"
}
] | 2020-03-25 | [
[
"Mourad",
"J.",
""
],
[
"Sagnotti",
"A.",
""
]
] | We address some general issues related to torsion and Noether currents for Fermi fields in the presence of boundaries, with emphasis on the conditions that guarantee charge conservation. We also describe exact solutions of these boundary conditions and some implications for string vacua with broken supersymmetry. |
hep-th/9707111 | Nikita Nekrasov | Nikita Nekrasov | On a Duality in Calogero-Moser-Sutherland Systems | 6 pp., Harvmac (l) mode | null | null | ITEP-TH-16/97, HUTP-97/A017 | hep-th | null | We point out a map between the dynamics of a non-relativistic system of $N$
particles in one dimension interacting via the pair-wise potentials $U_I(q) =
(\nu^2/4R^2)\sin^2(q/2R)$ and the one of the particles with the pair potential
$U_{II}(q) = \nu^2/q^2$ and the external potential $U_{ext} = \omega^2 q^2/2$.
The natural relation between the frequency $\omega$ and the radius $R$ is:
$\omega R = 1$.
| [
{
"created": "Fri, 11 Jul 1997 11:16:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nekrasov",
"Nikita",
""
]
] | We point out a map between the dynamics of a non-relativistic system of $N$ particles in one dimension interacting via the pair-wise potentials $U_I(q) = (\nu^2/4R^2)\sin^2(q/2R)$ and the one of the particles with the pair potential $U_{II}(q) = \nu^2/q^2$ and the external potential $U_{ext} = \omega^2 q^2/2$. The natural relation between the frequency $\omega$ and the radius $R$ is: $\omega R = 1$. |
0811.2088 | Pau Figueras | Joan Camps, Roberto Emparan, Pau Figueras, Stefano Giusto, Ashish
Saxena | Black Rings in Taub-NUT and D0-D6 interactions | 50 pages, 8 figures; v3: minor changes and references added; v4:
improved figs. 7 and 8, matches with published version | JHEP 0902:021,2009 | 10.1088/1126-6708/2009/02/021 | DCPT-08/63 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the dynamics of neutral black rings in Taub-NUT spaces and their
relation to systems of D0 and D6 branes in the supergravity approximation. We
employ several recent techniques, both perturbative and exact, to construct
solutions in which thermal excitations of the D0-branes can be turned on or
off, and the D6-brane can have $B$-fluxes turned on or off in its worldvolume.
By explicit calculation of the interaction energy between the D0 and D6 branes,
we can study equilibrium configurations and their stability. We find that
although D0 and D6 branes (in the absence of $B$ fields, and at zero
temperature) repeal each other at non-zero separation, as they get together
they go over continuosly to an unstable bound state of an extremal singular
Kaluza-Klein black hole. We also find that, for $B$-fields larger than a
critical value, or sufficiently large thermal excitation, the D0 and D6 branes
form stable bound states. The bound states with thermally excited D0 branes are
black rings in Taub-NUT, and we provide an analysis of their phase diagram.
| [
{
"created": "Thu, 13 Nov 2008 12:09:46 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 2008 21:18:19 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Dec 2008 17:55:02 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Feb 2009 16:17:52 GMT",
"version": "v4"
}
] | 2009-11-13 | [
[
"Camps",
"Joan",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Figueras",
"Pau",
""
],
[
"Giusto",
"Stefano",
""
],
[
"Saxena",
"Ashish",
""
]
] | We analyze the dynamics of neutral black rings in Taub-NUT spaces and their relation to systems of D0 and D6 branes in the supergravity approximation. We employ several recent techniques, both perturbative and exact, to construct solutions in which thermal excitations of the D0-branes can be turned on or off, and the D6-brane can have $B$-fluxes turned on or off in its worldvolume. By explicit calculation of the interaction energy between the D0 and D6 branes, we can study equilibrium configurations and their stability. We find that although D0 and D6 branes (in the absence of $B$ fields, and at zero temperature) repeal each other at non-zero separation, as they get together they go over continuosly to an unstable bound state of an extremal singular Kaluza-Klein black hole. We also find that, for $B$-fields larger than a critical value, or sufficiently large thermal excitation, the D0 and D6 branes form stable bound states. The bound states with thermally excited D0 branes are black rings in Taub-NUT, and we provide an analysis of their phase diagram. |
2206.04994 | Aniello Quaranta | Antonio Capolupo and Aniello Quaranta | Neutrinos, mixed bosons, Quantum Reference Frames and entanglement | 4 pages, No figures | null | 10.1088/1361-6471/acc679 | null | hep-th quant-ph | http://creativecommons.org/licenses/by-sa/4.0/ | We discuss the relevance of quantum reference frames in the description of
mixed particle states. We show that the notion of rest frame for mixed
particles, which is classically ill-defined, can be introduced in the context
of quantum frames. We discuss the possible phenomenological implications,
displaying a new form of framedependent entanglement that characterizes
reactions involving mixed particles.
| [
{
"created": "Fri, 10 Jun 2022 11:04:09 GMT",
"version": "v1"
}
] | 2023-04-26 | [
[
"Capolupo",
"Antonio",
""
],
[
"Quaranta",
"Aniello",
""
]
] | We discuss the relevance of quantum reference frames in the description of mixed particle states. We show that the notion of rest frame for mixed particles, which is classically ill-defined, can be introduced in the context of quantum frames. We discuss the possible phenomenological implications, displaying a new form of framedependent entanglement that characterizes reactions involving mixed particles. |
2311.11246 | Prateksh Dhivakar | Arjun Bagchi, Prateksh Dhivakar, Sudipta Dutta | Holography in Flat Spacetimes: the case for Carroll | v2: 71 pages; an extra Witten diagram added as section 6.13 | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We compare and contrast the two approaches of holography in asymptotically
flat spacetimes, viz. the co-dimension two Celestial approach based on the
Mellin transformation and the co-dimension one Carrollian approach based on the
modified Mellin and elucidate how some of the problems of the Celestial
approach can be rectified by the Carrollian one. Considering flat holography as
a limit from AdS/CFT makes a co-dimension one dual more plausible, and our
previous construction of Carrollian correlations from AdS Witten diagrams is
testimony to this. In this paper, we show how to generalize our earlier
analysis for operators with spin. We work out a large number of explicit
non-trivial examples (twelve) and show matching between the limit of AdS$_4$
Witten diagrams and 3d boundary symmetry considerations, thus making the case
for the Carrollian dual even stronger.
| [
{
"created": "Sun, 19 Nov 2023 06:17:12 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2024 18:14:35 GMT",
"version": "v2"
}
] | 2024-01-05 | [
[
"Bagchi",
"Arjun",
""
],
[
"Dhivakar",
"Prateksh",
""
],
[
"Dutta",
"Sudipta",
""
]
] | We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified Mellin and elucidate how some of the problems of the Celestial approach can be rectified by the Carrollian one. Considering flat holography as a limit from AdS/CFT makes a co-dimension one dual more plausible, and our previous construction of Carrollian correlations from AdS Witten diagrams is testimony to this. In this paper, we show how to generalize our earlier analysis for operators with spin. We work out a large number of explicit non-trivial examples (twelve) and show matching between the limit of AdS$_4$ Witten diagrams and 3d boundary symmetry considerations, thus making the case for the Carrollian dual even stronger. |
2206.04708 | Severin L\"ust | Severin L\"ust, Lisa Randall | Effective Theory of Warped Compactifications and the Implications for
KKLT | 43 pages; 11 figures; v2: minor typo corrected and references added | null | 10.1002/prop.202200103 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that effective actions for warped compactifications can be subtle,
with large deviations in the effective potential from naive expectations owing
to constraint equations from the higher-dimensional metric. We demonstrate this
deviation in a careful computation of the effective potential for the conifold
deformation parameter of the Klebanov-Strassler solution. The uncorrected naive
effective potential for the conifold was previously used to argue that the
Klebanov-Strassler background would be destabilized by antibranes placed at the
conifold infrared tip unless the flux was uncomfortably large. We show this
result is too strong because the formerly neglected constraint equations
eliminate the features of the potential that allowed for the instability in the
de Sitter uplift of the KKLT scenario.
| [
{
"created": "Thu, 9 Jun 2022 18:00:18 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2024 09:04:38 GMT",
"version": "v2"
}
] | 2024-05-15 | [
[
"Lüst",
"Severin",
""
],
[
"Randall",
"Lisa",
""
]
] | We argue that effective actions for warped compactifications can be subtle, with large deviations in the effective potential from naive expectations owing to constraint equations from the higher-dimensional metric. We demonstrate this deviation in a careful computation of the effective potential for the conifold deformation parameter of the Klebanov-Strassler solution. The uncorrected naive effective potential for the conifold was previously used to argue that the Klebanov-Strassler background would be destabilized by antibranes placed at the conifold infrared tip unless the flux was uncomfortably large. We show this result is too strong because the formerly neglected constraint equations eliminate the features of the potential that allowed for the instability in the de Sitter uplift of the KKLT scenario. |
hep-th/9310048 | Adel Khoudeir | C. Aragone & A. Khoudeir | Massive Triadic Chern-Simons Spin-3 Theory | 5 pages, SB/F/93-211 | null | null | null | hep-th | null | We introduce the massive gauge invariant, second order pure spin-3 theory in
three dimensions. It consists of the addition of the second order gauge
invariant massless pure spin-3 action with the first order
topological(generalized) Chern-Simons spin-3 term corrected with lower spin
auxiliary actions which avoid lower spin ghosts propagation. This second order
intermediate action completes the catalogue of massive spin-3 actions having
topological structure. We also consider its spontaneous break down through the
addition of the inertial spin-3 nontopological Fierz-Pauli mass term. It is
shown that this non gauge invariant pure spin-3 system is the uniform
generalization of linearized massive vector Chern-Simons gravity and propagates
just two spin $3^{\pm}$ excitations having different masses.
| [
{
"created": "Thu, 7 Oct 1993 18:58:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aragone",
"C.",
""
],
[
"Khoudeir",
"A.",
""
]
] | We introduce the massive gauge invariant, second order pure spin-3 theory in three dimensions. It consists of the addition of the second order gauge invariant massless pure spin-3 action with the first order topological(generalized) Chern-Simons spin-3 term corrected with lower spin auxiliary actions which avoid lower spin ghosts propagation. This second order intermediate action completes the catalogue of massive spin-3 actions having topological structure. We also consider its spontaneous break down through the addition of the inertial spin-3 nontopological Fierz-Pauli mass term. It is shown that this non gauge invariant pure spin-3 system is the uniform generalization of linearized massive vector Chern-Simons gravity and propagates just two spin $3^{\pm}$ excitations having different masses. |
2302.08213 | Tsvetan Vetsov Dr. | V. Avramov, H. Dimov, M. Radomirov, R. C. Rashkov and T. Vetsov | From Heun to Painlev\'e on Sasaki-Einstein Spaces and Their Confluent
Limits | 32 pages, three figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this paper is to study the effect of isomonodromic deformations of
the evolution of scalar fields in Sasaki-Einstein spaces in the context of
holography. Here we analyze the monodromy data of the general Heun equation,
resulting from a scalar on Y$^{p,q}$, thus obtaining the corresponding
Painlev\'e VI equation. Furthermore we have considered limits leading to a
coalescence of singularities, which in turn transform the original Painlev\'e
VI equation, to one of lower rank. The confluent limits we have considered are
Y$^{p,p}$, T$^{1,1} / \mathbb{Z}_2$ and Y$^{\infty, q}$.
| [
{
"created": "Thu, 16 Feb 2023 10:56:41 GMT",
"version": "v1"
}
] | 2023-02-17 | [
[
"Avramov",
"V.",
""
],
[
"Dimov",
"H.",
""
],
[
"Radomirov",
"M.",
""
],
[
"Rashkov",
"R. C.",
""
],
[
"Vetsov",
"T.",
""
]
] | The aim of this paper is to study the effect of isomonodromic deformations of the evolution of scalar fields in Sasaki-Einstein spaces in the context of holography. Here we analyze the monodromy data of the general Heun equation, resulting from a scalar on Y$^{p,q}$, thus obtaining the corresponding Painlev\'e VI equation. Furthermore we have considered limits leading to a coalescence of singularities, which in turn transform the original Painlev\'e VI equation, to one of lower rank. The confluent limits we have considered are Y$^{p,p}$, T$^{1,1} / \mathbb{Z}_2$ and Y$^{\infty, q}$. |
hep-th/0203090 | Merab Gogberashvili | Merab Gogberashvili | Brane Gravity from Bulk Vector Field | 5 pages, LaTeX, no figures, the version to appear in Phys. Lett. B | Phys.Lett.B553:284-288,2003 | 10.1016/S0370-2693(02)03208-2 | null | hep-th astro-ph gr-qc hep-ph | null | It is shown that Einstein's equations on the brane can be received from the
multi-dimensional vector field equations in pseudo-Euclidean space. The idea is
based on the observation that the brane geometry can be equivalently described
by the intrinsic metric or by the derivatives of its normal. From the other
hand the normal to the brane can be constructed with the components of some
multi-dimensional vector fields. For the both cases 4-dimensional effective
action for gravity appears to be the same.
| [
{
"created": "Mon, 11 Mar 2002 17:39:34 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2002 12:39:17 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2002 15:31:17 GMT",
"version": "v3"
},
{
"created": "Thu, 12 Dec 2002 17:03:29 GMT",
"version": "v4"
}
] | 2011-07-19 | [
[
"Gogberashvili",
"Merab",
""
]
] | It is shown that Einstein's equations on the brane can be received from the multi-dimensional vector field equations in pseudo-Euclidean space. The idea is based on the observation that the brane geometry can be equivalently described by the intrinsic metric or by the derivatives of its normal. From the other hand the normal to the brane can be constructed with the components of some multi-dimensional vector fields. For the both cases 4-dimensional effective action for gravity appears to be the same. |
1711.04522 | Khadijeh Jafarzade | Kh. Jafarzade, J. Sadeghi, B. Eslam Panah, S. H. Hendi | Geometrical thermodynamics and P-V criticality of charged accelerating
AdS black holes | 26 pages, 14 figures, accepted for publication in Annals of Physics | Annals of Physics 432, 168577 (2021) | 10.1016/j.aop.2021.168577 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The unusual asymptotic structure of the accelerating black holes led to
ambiguity in their geometric characteristics and thermodynamic behavior.
Motivated by the interesting properties of such black holes and the significant
role of electric charge and string tension on their structure, we study the
thermodynamic behavior of these black holes by two methods and examine the
changes of free parameters on the thermal behavior of the black holes. First,
we investigate phase transition and thermal stability of the system through the
use of heat capacity in the non-extended phase space. We examine the effects of
electric charge, string tension and the cosmological constant on the phase
transition and stability of the system. We also find that to have a phase
transition, we have to apply some constraints on the free parameters. Then, we
employ the geometrical thermodynamic (GT) method to study phase transition and
compare the obtained results with those of the heat capacity. Next, we work in
the extended phase space by considering the cosmological constant as a
dynamical pressure and evaluate the existence of van der Waals like phase
transition. We obtain critical quantities and study the effective role of
electric charge and string tension on these quantities. Finally, we make use of
the GT method in the extended phase space and find that the results of the GT
method, heat capacity and $P-V$ diagram lead to a consistent conclusion.
| [
{
"created": "Mon, 13 Nov 2017 11:01:50 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 2021 15:23:05 GMT",
"version": "v2"
}
] | 2021-08-20 | [
[
"Jafarzade",
"Kh.",
""
],
[
"Sadeghi",
"J.",
""
],
[
"Panah",
"B. Eslam",
""
],
[
"Hendi",
"S. H.",
""
]
] | The unusual asymptotic structure of the accelerating black holes led to ambiguity in their geometric characteristics and thermodynamic behavior. Motivated by the interesting properties of such black holes and the significant role of electric charge and string tension on their structure, we study the thermodynamic behavior of these black holes by two methods and examine the changes of free parameters on the thermal behavior of the black holes. First, we investigate phase transition and thermal stability of the system through the use of heat capacity in the non-extended phase space. We examine the effects of electric charge, string tension and the cosmological constant on the phase transition and stability of the system. We also find that to have a phase transition, we have to apply some constraints on the free parameters. Then, we employ the geometrical thermodynamic (GT) method to study phase transition and compare the obtained results with those of the heat capacity. Next, we work in the extended phase space by considering the cosmological constant as a dynamical pressure and evaluate the existence of van der Waals like phase transition. We obtain critical quantities and study the effective role of electric charge and string tension on these quantities. Finally, we make use of the GT method in the extended phase space and find that the results of the GT method, heat capacity and $P-V$ diagram lead to a consistent conclusion. |
2009.01948 | Jos\'e M. Figueroa-O'Farrill | Jos\'e Figueroa-O'Farrill | On the intrinsic torsion of spacetime structures | 32 pages, 8 figures | null | null | EMPG-20-14 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly review the notion of the intrinsic torsion of a $G$-structure and
then go on to classify the intrinsic torsion of the $G$-structures associated
with spacetimes: namely, galilean (or Newton-Cartan), carrollian, aristotelian
and bargmannian. In the case of galilean structures, the intrinsic torsion
classification agrees with the well-known classification into torsionless,
twistless torsional and torsional Newton-Cartan geometries. In the case of
carrollian structures, we find that intrinsic torsion allows us to classify
Carroll manifolds into four classes, depending on the action of the Carroll
vector field on the spatial metric, or equivalently in terms of the nature of
the null hypersurfaces of a lorentzian manifold into which a carrollian
geometry may embed. By a small refinement of the results for galilean and
carrollian structures, we show that there are sixteen classes of aristotelian
structures, which we characterise geometrically. Finally, the bulk of the paper
is devoted to the case of bargmannian structures, where we find twenty-seven
classes which we also characterise geometrically while simultaneously relating
some of them to the galilean and carrollian structures.
This paper is dedicated to Dmitri Vladimirovich Alekseevsky on his 80th
birthday.
| [
{
"created": "Thu, 3 Sep 2020 22:47:27 GMT",
"version": "v1"
}
] | 2020-09-07 | [
[
"Figueroa-O'Farrill",
"José",
""
]
] | We briefly review the notion of the intrinsic torsion of a $G$-structure and then go on to classify the intrinsic torsion of the $G$-structures associated with spacetimes: namely, galilean (or Newton-Cartan), carrollian, aristotelian and bargmannian. In the case of galilean structures, the intrinsic torsion classification agrees with the well-known classification into torsionless, twistless torsional and torsional Newton-Cartan geometries. In the case of carrollian structures, we find that intrinsic torsion allows us to classify Carroll manifolds into four classes, depending on the action of the Carroll vector field on the spatial metric, or equivalently in terms of the nature of the null hypersurfaces of a lorentzian manifold into which a carrollian geometry may embed. By a small refinement of the results for galilean and carrollian structures, we show that there are sixteen classes of aristotelian structures, which we characterise geometrically. Finally, the bulk of the paper is devoted to the case of bargmannian structures, where we find twenty-seven classes which we also characterise geometrically while simultaneously relating some of them to the galilean and carrollian structures. This paper is dedicated to Dmitri Vladimirovich Alekseevsky on his 80th birthday. |
1002.0615 | Yu Nakayama | Yu Nakayama | Universal time-dependent deformations of Schrodinger geometry | 24 pages, v2: references added | JHEP 1004:102,2010 | 10.1007/JHEP04(2010)102 | UCB-PTH-10/03, IPMU10-0021 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate universal time-dependent exact deformations of Schrodinger
geometry. We present 1) scale invariant but non-conformal deformation, 2)
non-conformal but scale invariant deformation, and 3) both scale and conformal
invariant deformation. All these solutions are universal in the sense that we
could embed them in any supergravity constructions of the Schrodinger invariant
geometry. We give a field theory interpretation of our time-dependent
solutions. In particular, we argue that any time-dependent chemical potential
can be treated exactly in our gravity dual approach.
| [
{
"created": "Wed, 3 Feb 2010 13:00:36 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2010 04:42:11 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Nakayama",
"Yu",
""
]
] | We investigate universal time-dependent exact deformations of Schrodinger geometry. We present 1) scale invariant but non-conformal deformation, 2) non-conformal but scale invariant deformation, and 3) both scale and conformal invariant deformation. All these solutions are universal in the sense that we could embed them in any supergravity constructions of the Schrodinger invariant geometry. We give a field theory interpretation of our time-dependent solutions. In particular, we argue that any time-dependent chemical potential can be treated exactly in our gravity dual approach. |
1003.1555 | Kazuhiro Hikami | Tohru Eguchi, Kazuhiro Hikami | N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds | 27 pages, 1 figure | Lett.Math.Phys.92:269-297,2010 | 10.1007/s11005-010-0387-3 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the representation theory of N=2 superconformal algebra to study the
elliptic genera of Calabi-Yau (CY) D-folds. We compute the entropy of CY
manifolds from the growth rate of multiplicities of the massive (non-BPS)
representations in the decomposition of their elliptic genera. We find that the
entropy of CY manifolds of complex dimension D behaves differently depending on
whether D is even or odd. When D is odd, CY entropy coincides with the entropy
of the corresponding hyperKahler (D-3)-folds due to a structural theorem on
Jacobi forms. In particular, we find that the Calabi-Yau 3-fold has a vanishing
entropy. At D>3, using our previous results on hyperKahler manifolds, we find
$S_{CY_D} \sim 2\pi \sqrt{{(D-3)^2\over 2(D-1)}n}$. When D is even, we find the
behavior of CY entropy behaving as $S_{CY_D}\sim 2 \pi\sqrt{{D-1\over 2}n}$.
These agree with Cardy's formula at large D.
| [
{
"created": "Mon, 8 Mar 2010 05:28:01 GMT",
"version": "v1"
}
] | 2010-06-15 | [
[
"Eguchi",
"Tohru",
""
],
[
"Hikami",
"Kazuhiro",
""
]
] | We use the representation theory of N=2 superconformal algebra to study the elliptic genera of Calabi-Yau (CY) D-folds. We compute the entropy of CY manifolds from the growth rate of multiplicities of the massive (non-BPS) representations in the decomposition of their elliptic genera. We find that the entropy of CY manifolds of complex dimension D behaves differently depending on whether D is even or odd. When D is odd, CY entropy coincides with the entropy of the corresponding hyperKahler (D-3)-folds due to a structural theorem on Jacobi forms. In particular, we find that the Calabi-Yau 3-fold has a vanishing entropy. At D>3, using our previous results on hyperKahler manifolds, we find $S_{CY_D} \sim 2\pi \sqrt{{(D-3)^2\over 2(D-1)}n}$. When D is even, we find the behavior of CY entropy behaving as $S_{CY_D}\sim 2 \pi\sqrt{{D-1\over 2}n}$. These agree with Cardy's formula at large D. |
1510.07237 | Tomotaka Kitamura | Toshiaki Fujimori, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura | Tree-Level Unitarity and Renormalizability in Lifshitz Scalar Theory | 31 pages, 11 figures | null | 10.1093/ptep/ptv185 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study unitarity and renormalizability in the Lifshitz scalar field theory,
which is characterized by an anisotropic scaling between the space and time
directions. Without the Lorentz symmetry, both the unitarity and the
renormalizability conditions are modified from those in relativistic theories.
We show that for renormalizability, an extended version of the power counting
condition is required in addition to the conventional one. The unitarity bound
for S-matrix elements also gives stronger constraints on interaction terms
because of the reference frame dependence of scattering amplitudes. We prove
that both unitarity and renormalizability require identical conditions as in
the case of conventional relativistic theories.
| [
{
"created": "Sun, 25 Oct 2015 11:53:33 GMT",
"version": "v1"
}
] | 2016-06-21 | [
[
"Fujimori",
"Toshiaki",
""
],
[
"Inami",
"Takeo",
""
],
[
"Izumi",
"Keisuke",
""
],
[
"Kitamura",
"Tomotaka",
""
]
] | We study unitarity and renormalizability in the Lifshitz scalar field theory, which is characterized by an anisotropic scaling between the space and time directions. Without the Lorentz symmetry, both the unitarity and the renormalizability conditions are modified from those in relativistic theories. We show that for renormalizability, an extended version of the power counting condition is required in addition to the conventional one. The unitarity bound for S-matrix elements also gives stronger constraints on interaction terms because of the reference frame dependence of scattering amplitudes. We prove that both unitarity and renormalizability require identical conditions as in the case of conventional relativistic theories. |
0710.0001 | Yu Nakayama | Yu Nakayama, Masahito Yamazaki and T. T. Yanagida | Moduli Stabilization in Stringy ISS Models | 14 pages, v2: minor corrections, refereces added, v3: better
parameters and more figures, published version | Phys.Lett.B663:281-285,2008 | 10.1016/j.physletb.2008.03.074 | UCB-PTH-07/19, UT-07-28, IPMU 07-0001 | hep-th hep-ph | null | We present a stringy realization of the ISS metastable SUSY breaking model
with moduli stabilization. The mass moduli of the ISS model is stabilized by
gauging of a U(1) symmetry and its D-term potential. The SUSY is broken both by
F-terms and D-terms. It is possible to obtain de-Sitter vacua with a
vanishingly small cosmological constant by an appropriate fine-tuning of flux
parameters.
| [
{
"created": "Fri, 28 Sep 2007 20:34:09 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2007 04:32:28 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 2008 23:50:42 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Nakayama",
"Yu",
""
],
[
"Yamazaki",
"Masahito",
""
],
[
"Yanagida",
"T. T.",
""
]
] | We present a stringy realization of the ISS metastable SUSY breaking model with moduli stabilization. The mass moduli of the ISS model is stabilized by gauging of a U(1) symmetry and its D-term potential. The SUSY is broken both by F-terms and D-terms. It is possible to obtain de-Sitter vacua with a vanishingly small cosmological constant by an appropriate fine-tuning of flux parameters. |
2007.08515 | Jorge Russo | Jorge G. Russo and Miguel Tierz | Multiple phases in a generalized Gross-Witten-Wadia matrix model | 22 pages | J. High Energ. Phys. 2020, 81 (2020) | 10.1007/JHEP09(2020)081 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a unitary matrix model of the Gross-Witten-Wadia type, extended with
the addition of characteristic polynomial insertions. The model interpolates
between solvable unitary matrix models and is the unitary counterpart of a
deformed Cauchy ensemble. Exact formulas for the partition function and Wilson
loops are given in terms of Toeplitz determinants and minors and large $N$
results are obtained by using Szeg\"o theorem with a Fisher-Hartwig
singularity. In the large $N$ (planar) limit with two scaled couplings, the
theory exhibits a surprisingly intricate phase structure in the two-dimensional
parameter space.
| [
{
"created": "Thu, 16 Jul 2020 17:59:58 GMT",
"version": "v1"
}
] | 2020-11-23 | [
[
"Russo",
"Jorge G.",
""
],
[
"Tierz",
"Miguel",
""
]
] | We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed Cauchy ensemble. Exact formulas for the partition function and Wilson loops are given in terms of Toeplitz determinants and minors and large $N$ results are obtained by using Szeg\"o theorem with a Fisher-Hartwig singularity. In the large $N$ (planar) limit with two scaled couplings, the theory exhibits a surprisingly intricate phase structure in the two-dimensional parameter space. |
2307.05932 | Juntaro Wada | Kin-ya Oda and Juntaro Wada | Lorentz-covariant spinor wave packet | 23 pages, 2 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new formulation of manifestly Lorentz-covariant spinor
wave-packet basis. The conventional definition of the spinor wave packet is
problematic in the sense that it suffers from mixing with other wave packets
under Lorentz transformations. Our formulation evades this difficulty of
mixing. This wave packet forms a complete set that can expand a free spinor
field in a Lorentz covariant manner. In addition, we present a
Lorentz-invariant expression of zero-point energy.
| [
{
"created": "Wed, 12 Jul 2023 05:53:09 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 2024 12:02:54 GMT",
"version": "v2"
}
] | 2024-04-08 | [
[
"Oda",
"Kin-ya",
""
],
[
"Wada",
"Juntaro",
""
]
] | We propose a new formulation of manifestly Lorentz-covariant spinor wave-packet basis. The conventional definition of the spinor wave packet is problematic in the sense that it suffers from mixing with other wave packets under Lorentz transformations. Our formulation evades this difficulty of mixing. This wave packet forms a complete set that can expand a free spinor field in a Lorentz covariant manner. In addition, we present a Lorentz-invariant expression of zero-point energy. |
1401.1500 | Gonzalo Torroba | Anson Hook, Shamit Kachru, Gonzalo Torroba, Huajia Wang | Emergent Fermi surfaces, fractionalization and duality in supersymmetric
QED | 30 pages, 7 figures. v2: typos corrected and references added.
Version to appear in JHEP | null | 10.1007/JHEP08(2014)031 | SU-ITP-14/01 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the physics of 3d supersymmetric abelian gauge theories (with small
supersymmetry breaking perturbations) at finite density. Using mirror symmetry,
which provides a natural generalization of the duality between the XY model and
the abelian Higgs model but now including fermionic fields, we see many
dynamical phenomena conjectured to be of relevance in condensed matter systems.
In particular, we find examples of the emergence of a Fermi surface at low
energies from hybridization of fermions localized at magnetic defects at high
energies, as well as fractionalization of charged fermions into spinon-holon
pairs with the concomitant appearance of emergent gauge fields. We also find
dual descriptions for Fermi surfaces coupled to critical bosons, which give
rise to non-Fermi liquids.
| [
{
"created": "Tue, 7 Jan 2014 21:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jul 2014 02:52:59 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Hook",
"Anson",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Torroba",
"Gonzalo",
""
],
[
"Wang",
"Huajia",
""
]
] | We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the abelian Higgs model but now including fermionic fields, we see many dynamical phenomena conjectured to be of relevance in condensed matter systems. In particular, we find examples of the emergence of a Fermi surface at low energies from hybridization of fermions localized at magnetic defects at high energies, as well as fractionalization of charged fermions into spinon-holon pairs with the concomitant appearance of emergent gauge fields. We also find dual descriptions for Fermi surfaces coupled to critical bosons, which give rise to non-Fermi liquids. |
1308.5759 | Alexei Morozov | V.Dolotin, A.Morozov | Introduction to Khovanov Homologies. III. A new and simple
tensor-algebra construction of Khovanov-Rozansky invariants | 66 pages | Nuclear Physics B878 (2014) 12-81 | 10.1016/j.nuclphysb.2013.11.007 | ITEP/TH-31/13 | hep-th math-ph math.AG math.CO math.GT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to develop the tensor-algebra approach to knot polynomials with
the goal to present the story in elementary and comprehensible form. The
previously reviewed description of Khovanov cohomologies for the gauge group of
rank N-1=1 was based on the cut-and-join calculus of the planar cycles, which
are involved rather artificially. We substitute them by alternative and natural
set of cycles, not obligatory planar. Then the whole construction is
straightforwardly lifted from SL(2) to SL(N) and reproduces Khovanov-Rozansky
(KR) polynomials, simultaneously for all values of N. No matrix factorization
and related tedious calculations are needed in such approach, which can
therefore become not only conceptually, but also practically useful.
| [
{
"created": "Tue, 27 Aug 2013 05:46:59 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Dec 2013 19:11:20 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Dolotin",
"V.",
""
],
[
"Morozov",
"A.",
""
]
] | We continue to develop the tensor-algebra approach to knot polynomials with the goal to present the story in elementary and comprehensible form. The previously reviewed description of Khovanov cohomologies for the gauge group of rank N-1=1 was based on the cut-and-join calculus of the planar cycles, which are involved rather artificially. We substitute them by alternative and natural set of cycles, not obligatory planar. Then the whole construction is straightforwardly lifted from SL(2) to SL(N) and reproduces Khovanov-Rozansky (KR) polynomials, simultaneously for all values of N. No matrix factorization and related tedious calculations are needed in such approach, which can therefore become not only conceptually, but also practically useful. |
1309.4394 | Mohamed Anber | Mohamed M. Anber, Mithat Unsal | QCD in magnetic field, Landau levels and double-life of unbroken
center-symmetry | 23 pages, 2 figures | null | 10.1007/JHEP12(2014)107 | null | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermal confinement/deconfinement and non-thermal quantum phase
transitions or rapid cross-overs in QCD and QCD-like theories in external
magnetic fields. At large magnetic fields, while the contribution of gauge
fluctuations to Wilson-line potential remains unaltered at one-loop order, the
contribution of fermions effectively becomes two lower dimensional and is
enhanced by the density of states of the lowest Landau level (LLL). In a
spatial compactification and for heavy adjoint fermions, this enhancement leads
to a calculable zero temperature quantum phase transition on R^3*S^1 driven by
a competition between the center-destabilizing gauge contribution and
center-stabilizing LLL fermions. We also show that at a (formal) asymptotically
large magnetic field, the adjoint fermions with arbitrarily large but fixed
mass stabilize the center symmetry. This is an exotic case of simultaneous
non-decoupling of large mass fermions (due to the enhancement by the LLL
density of states) and decoupling from the low energy effective field theory.
This observation has important implications for both Hosotani mechanism, for
which gauge symmetry "breaking" occurs, and large-N volume independence
(Eguchi-Kawai reduction), for which gauge structure is never "broken". Despite
sounding almost self-contradictory, we carefully explain the physical scales
entering the problem, double-meaning of unbroken center symmetry and how a
clash is avoided. We also identify, for both thermal and spatial
compactification, the jump in magnetic susceptibility as an order parameter for
the deconfinement transition. The predictions of our analysis are testable by
using current lattice techniques.
| [
{
"created": "Tue, 17 Sep 2013 17:08:40 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Unsal",
"Mithat",
""
]
] | We study the thermal confinement/deconfinement and non-thermal quantum phase transitions or rapid cross-overs in QCD and QCD-like theories in external magnetic fields. At large magnetic fields, while the contribution of gauge fluctuations to Wilson-line potential remains unaltered at one-loop order, the contribution of fermions effectively becomes two lower dimensional and is enhanced by the density of states of the lowest Landau level (LLL). In a spatial compactification and for heavy adjoint fermions, this enhancement leads to a calculable zero temperature quantum phase transition on R^3*S^1 driven by a competition between the center-destabilizing gauge contribution and center-stabilizing LLL fermions. We also show that at a (formal) asymptotically large magnetic field, the adjoint fermions with arbitrarily large but fixed mass stabilize the center symmetry. This is an exotic case of simultaneous non-decoupling of large mass fermions (due to the enhancement by the LLL density of states) and decoupling from the low energy effective field theory. This observation has important implications for both Hosotani mechanism, for which gauge symmetry "breaking" occurs, and large-N volume independence (Eguchi-Kawai reduction), for which gauge structure is never "broken". Despite sounding almost self-contradictory, we carefully explain the physical scales entering the problem, double-meaning of unbroken center symmetry and how a clash is avoided. We also identify, for both thermal and spatial compactification, the jump in magnetic susceptibility as an order parameter for the deconfinement transition. The predictions of our analysis are testable by using current lattice techniques. |
1010.4099 | Huiquan Li | Huiquan Li | Cosmological evolution of a D-brane | 13 pages | Phys.Rev.D83:066002,2011 | 10.1103/PhysRevD.83.066002 | USTC-ICTS-10-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the cosmological evolution of a single BPS D-brane in the absence of
potential, which is in the category of the Chaplygin gas cosmological model.
When such a D-brane coupled to gravity moves in the bulk with a non-vanishing
velocity, it tends to slow down to zero velocity via mechanisms like
gravitational waves leakage to the bulk, losing its kinetic energy to fuel the
expansion of the universe on the D-brane. If the initial velocity of the
D-brane is high enough, the universe on the D-brane undergoes a dust-like stage
at early times and an acceleration stage at late times, as observed in the
original Chaplygin gas model. When the D-brane velocity is initially zero, the
D-brane will always remain fixed at some position in the bulk, with the brane
tension over the Plank mass squared as a cosmological constant. Interestingly,
this kind of fixed brane universe can arise as defects from tachyon inflation
on a non-BPS D-brane with one dimension higherWe study the cosmological
evolution of a single BPS D-brane coupled to gravity in the absence of
potential. When such a D-brane moves in the bulk with non-vanishing velocity,
it tends to slow down to zero velocity via mechanisms like gravitational wave
leakage to the bulk, losing its kinetic energy to fuel the expansion of the
universe on the D-brane. If the initial velocity of the D-brane is high enough,
the universe on the D-brane undergoes a dust-like stage at early times and an
acceleration stage at late times, realising the original Chaplygin gas model.
When the D-brane velocity is initially zero, the D-brane will always remain
fixed at some position in the bulk, with the brane tension over the Plank mass
squared as a cosmological constant. It is further shown that this kind of fixed
brane universe can arise as defects from tachyon inflation on a non-BPS D-brane
with one dimension higher.
| [
{
"created": "Wed, 20 Oct 2010 04:01:46 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2011 01:47:56 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Li",
"Huiquan",
""
]
] | We study the cosmological evolution of a single BPS D-brane in the absence of potential, which is in the category of the Chaplygin gas cosmological model. When such a D-brane coupled to gravity moves in the bulk with a non-vanishing velocity, it tends to slow down to zero velocity via mechanisms like gravitational waves leakage to the bulk, losing its kinetic energy to fuel the expansion of the universe on the D-brane. If the initial velocity of the D-brane is high enough, the universe on the D-brane undergoes a dust-like stage at early times and an acceleration stage at late times, as observed in the original Chaplygin gas model. When the D-brane velocity is initially zero, the D-brane will always remain fixed at some position in the bulk, with the brane tension over the Plank mass squared as a cosmological constant. Interestingly, this kind of fixed brane universe can arise as defects from tachyon inflation on a non-BPS D-brane with one dimension higherWe study the cosmological evolution of a single BPS D-brane coupled to gravity in the absence of potential. When such a D-brane moves in the bulk with non-vanishing velocity, it tends to slow down to zero velocity via mechanisms like gravitational wave leakage to the bulk, losing its kinetic energy to fuel the expansion of the universe on the D-brane. If the initial velocity of the D-brane is high enough, the universe on the D-brane undergoes a dust-like stage at early times and an acceleration stage at late times, realising the original Chaplygin gas model. When the D-brane velocity is initially zero, the D-brane will always remain fixed at some position in the bulk, with the brane tension over the Plank mass squared as a cosmological constant. It is further shown that this kind of fixed brane universe can arise as defects from tachyon inflation on a non-BPS D-brane with one dimension higher. |
hep-th/0509126 | Naresh Dadhich | Naresh Dadhich | On the Gauss-Bonnet Gravity | 5 pages, latex, References added, To appear in the Proceedings of
12th Regional Conference on Mathematical Physics, Islamabad, March, 27 -
April, 1, 2006 | null | null | null | hep-th astro-ph gr-qc | null | We argue that propagation of gravitational field in the extra dimension is
motivated by physical realization of second iteration of self interaction of
gravity and it is described by the Gauss-Bonnet term. The most remarkable
feature of the Gauss-Bonnet gravity is that at high energy it radically
transforms radial dependence from inverse to proportionality as singularity is
approached and thereby making it weak. Similar change over also occurs in
approach to singularity in loop quantum gravity. It is analogous to Planck's
law of radiation where similar change occurs for high and low energy behavior.
This is how it seems to anticipate in qualitative terms and in the right sense
the quantum gravity effect in 5 dimensions where it is physically non-trivial.
The really interesting question is, could this desirable feature be brought
down to the $4-$dimensional spacetime by dilatonic coupling to the Gauss-Bonnet
term or otherwise?
| [
{
"created": "Fri, 16 Sep 2005 05:50:07 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Oct 2005 08:55:51 GMT",
"version": "v2"
},
{
"created": "Tue, 16 May 2006 11:39:28 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Dadhich",
"Naresh",
""
]
] | We argue that propagation of gravitational field in the extra dimension is motivated by physical realization of second iteration of self interaction of gravity and it is described by the Gauss-Bonnet term. The most remarkable feature of the Gauss-Bonnet gravity is that at high energy it radically transforms radial dependence from inverse to proportionality as singularity is approached and thereby making it weak. Similar change over also occurs in approach to singularity in loop quantum gravity. It is analogous to Planck's law of radiation where similar change occurs for high and low energy behavior. This is how it seems to anticipate in qualitative terms and in the right sense the quantum gravity effect in 5 dimensions where it is physically non-trivial. The really interesting question is, could this desirable feature be brought down to the $4-$dimensional spacetime by dilatonic coupling to the Gauss-Bonnet term or otherwise? |
hep-th/0110278 | Horacio E. Camblong | Horacio E. Camblong, Carlos R. Ordonez | Regularized Green's Function for the Inverse Square Potential | 10 pages. The final section was expanded | Mod.Phys.Lett. A17 (2002) 817 | 10.1142/S0217732302006990 | null | hep-th hep-ph math-ph math.MP nucl-th quant-ph | null | A Green's function approach is presented for the D-dimensional inverse square
potential in quantum mechanics. This approach is implemented by the
introduction of hyperspherical coordinates and the use of a real-space
regulator in the regularized version of the model. The application of
Sturm-Liouville theory yields a closed expression for the radial energy Green's
function. Finally, the equivalence with a recent path-integral treatment of the
same problem is explicitly shown.
| [
{
"created": "Tue, 30 Oct 2001 12:45:05 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 02:17:13 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Camblong",
"Horacio E.",
""
],
[
"Ordonez",
"Carlos R.",
""
]
] | A Green's function approach is presented for the D-dimensional inverse square potential in quantum mechanics. This approach is implemented by the introduction of hyperspherical coordinates and the use of a real-space regulator in the regularized version of the model. The application of Sturm-Liouville theory yields a closed expression for the radial energy Green's function. Finally, the equivalence with a recent path-integral treatment of the same problem is explicitly shown. |
1306.4937 | Jerome P. Gauntlett | Aristomenis Donos and Jerome P. Gauntlett | On the thermodynamics of periodic AdS black branes | 18 pages. Smarr relations strengthened. References added | null | 10.1007/JHEP10(2013)038 | Imperial/TP/2013/JG/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider asymptotically AdS black brane solutions that are dual to CFTs
with periodic dependence on the spatial directions, arising from either a
spontaneous or an explicit breaking of translational symmetry. We derive a
simple expression for the variation of the free-energy with respect to changing
the periods. This explains some observations, based on numerics, that have
arisen in the explicit construction of thermodynamically preferred black holes
in the case that the spatial directions are infinite in extent and the symmetry
is spontaneously broken. It also leads to simple Smarr-type relations involving
the boundary stress tensor..
| [
{
"created": "Thu, 20 Jun 2013 17:27:34 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jul 2013 21:18:15 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
]
] | We consider asymptotically AdS black brane solutions that are dual to CFTs with periodic dependence on the spatial directions, arising from either a spontaneous or an explicit breaking of translational symmetry. We derive a simple expression for the variation of the free-energy with respect to changing the periods. This explains some observations, based on numerics, that have arisen in the explicit construction of thermodynamically preferred black holes in the case that the spatial directions are infinite in extent and the symmetry is spontaneously broken. It also leads to simple Smarr-type relations involving the boundary stress tensor.. |
hep-th/0107021 | George Tsoupros | George Tsoupros | Perturbative Evaluation of the Zero-Point function for Self-Interacting
Scalar Field on a Manifold with Boundary | 19 pages, 2 figures, one figure and references added, substantial
extension of the discussion. To appear in Classical and Quantum Gravity | Class.Quant.Grav. 19 (2002) 767-782 | 10.1088/0264-9381/19/4/309 | null | hep-th | null | The character of quantum corrections to the gravitational action of a
conformally invariant field theory for a self-interacting scalar field on a
manifold with boundary is considered at third loop-order in the perturbative
expansion of the zero-point function. Diagramatic evaluations and higher
loop-order renormalisation can be best accomplished on a Riemannian manifold of
constant curvature accommodating a boundary of constant extrinsic curvature.
The associated spherical formulation for diagramatic evaluations reveals a
non-trivial effect which the topology of the manifold has on the vacuum
processes and which ultimately dissociates the dynamical behaviour of the
quantised field from its behaviour in the absence of a boundary. The first
surface divergence is evaluated and the necessity for simultaneous
renormalisation of volume and surface divergences is shown.
| [
{
"created": "Tue, 3 Jul 2001 17:32:33 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2001 17:16:39 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2002 11:26:18 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Tsoupros",
"George",
""
]
] | The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the zero-point function. Diagramatic evaluations and higher loop-order renormalisation can be best accomplished on a Riemannian manifold of constant curvature accommodating a boundary of constant extrinsic curvature. The associated spherical formulation for diagramatic evaluations reveals a non-trivial effect which the topology of the manifold has on the vacuum processes and which ultimately dissociates the dynamical behaviour of the quantised field from its behaviour in the absence of a boundary. The first surface divergence is evaluated and the necessity for simultaneous renormalisation of volume and surface divergences is shown. |
1211.6225 | Yuji Satoh | Yasuyuki Hatsuda, Katsushi Ito, Yuji Satoh | Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models | 43 pages, 8 figures; (v2) minor corrections | null | 10.1007/JHEP02(2013)067 | DESY 12-197, TIT/HEP-623, UTHEP-652 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the null-polygonal minimal surfaces in AdS_4, which correspond to
the gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at
strong coupling. The area of the minimal surfaces with n cusps is characterized
by the thermodynamic Bethe ansatz (TBA) integral equations or the Y-system of
the homogeneous sine-Gordon model, which is regarded as the
SU(n-4)_4/U(1)^{n-5} generalized parafermion theory perturbed by the
weight-zero adjoint operators. Based on the relation to the TBA systems of the
perturbed W minimal models, we solve the TBA equations by using the conformal
perturbation theory, and obtain the analytic expansion of the remainder
function around the UV/regular-polygonal limit for n=6 and 7. We compare the
rescaled remainder function for n=6 with the two-loop one, to observe that they
are close to each other similarly to the AdS_3 case.
| [
{
"created": "Tue, 27 Nov 2012 07:47:14 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Feb 2013 05:58:38 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Ito",
"Katsushi",
""
],
[
"Satoh",
"Yuji",
""
]
] | We study the null-polygonal minimal surfaces in AdS_4, which correspond to the gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling. The area of the minimal surfaces with n cusps is characterized by the thermodynamic Bethe ansatz (TBA) integral equations or the Y-system of the homogeneous sine-Gordon model, which is regarded as the SU(n-4)_4/U(1)^{n-5} generalized parafermion theory perturbed by the weight-zero adjoint operators. Based on the relation to the TBA systems of the perturbed W minimal models, we solve the TBA equations by using the conformal perturbation theory, and obtain the analytic expansion of the remainder function around the UV/regular-polygonal limit for n=6 and 7. We compare the rescaled remainder function for n=6 with the two-loop one, to observe that they are close to each other similarly to the AdS_3 case. |
hep-th/0105272 | null | T. Nakatsu | Classical Open-String Field Theory ; $A_{\infty}$-Algebra,
Renormalization Group and Boundary States | 91 pages, 17 figures. This is the published version. Section 1
(Introduction) is revised to include a brief review on renormalization group.
Other parts do not change | Nucl.Phys. B642 (2002) 13-90 | 10.1016/S0550-3213(02)00495-9 | OU-HET 384 | hep-th | null | We investigate classical bosonic open-string field theory from the
perspective of the Wilson renormalization group of world-sheet theory. The
microscopic action is identified with Witten's covariant cubic action and the
short-distance cut-off scale is introduced by length of open-string strip which
appears in the Schwinger representation of open-string propagator. {\it
Classical open-string field theory} in the title means open-string field theory
governed by a classical part of the low energy action. It is obtained by
integrating out suitable tree interactions of open-strings and is of
non-polynomial type. We study this theory by using the BV formalism. It turns
out to be deeply related with deformation theory of $A_{\infty}$-algebra. We
introduce renormalization group equation of this theory and discuss it from
several aspects. It is also discussed that this theory is interpreted as a
boundary open-string field theory. Closed-string BRST charge and boundary
states of closed-string field theory in the presence of open-string field play
important roles.
| [
{
"created": "Mon, 28 May 2001 11:41:27 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2001 09:27:39 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jul 2001 02:37:23 GMT",
"version": "v3"
},
{
"created": "Tue, 3 Dec 2002 04:38:11 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Nakatsu",
"T.",
""
]
] | We investigate classical bosonic open-string field theory from the perspective of the Wilson renormalization group of world-sheet theory. The microscopic action is identified with Witten's covariant cubic action and the short-distance cut-off scale is introduced by length of open-string strip which appears in the Schwinger representation of open-string propagator. {\it Classical open-string field theory} in the title means open-string field theory governed by a classical part of the low energy action. It is obtained by integrating out suitable tree interactions of open-strings and is of non-polynomial type. We study this theory by using the BV formalism. It turns out to be deeply related with deformation theory of $A_{\infty}$-algebra. We introduce renormalization group equation of this theory and discuss it from several aspects. It is also discussed that this theory is interpreted as a boundary open-string field theory. Closed-string BRST charge and boundary states of closed-string field theory in the presence of open-string field play important roles. |
0808.2503 | Diego Trancanelli | David Berenstein, Diego Trancanelli | Three-dimensional N=6 SCFT's and their membrane dynamics | 64 pages, 5 figures; v2: added references | Phys.Rev.D78:106009,2008 | 10.1103/PhysRevD.78.106009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze several aspects of the recent construction of three-dimensional
conformal gauge theories by Aharony et al. in various regimes. We pay special
attention to understanding how the M-theory geometry and interpretation can be
extracted from the analysis of the field theory. We revisit the calculations of
the moduli space of vacua and the complete characterization of chiral ring
operators by analyzing the field theory compactified on a 2-sphere. We show
that many of the states dual to these operators can be interpreted as D-brane
states in the weak coupling limit. Also, various features of the dual AdS
geometry can be obtained by performing a strong coupling expansion around
moduli space configurations, even though one is not taking the planar
expansion. In particular, we show that at strong coupling the corresponding
weak coupling D-brane states of the chiral ring localize on particular
submanifolds of the dual geometry that match the M-theory interpretation. We
also study the massive spectrum of fields in the moduli space. We use this to
investigate the dispersion relation of giant magnons from the field theory
point of view. Our analysis predicts the exact functional form of the
dispersion relation as a function of the world-sheet momentum, independently of
integrability assumptions, but not the exact form with respect to the 't Hooft
coupling. We also get the dispersion relation of bound states of giant magnons
from first principles, providing evidence for the full integrability of the
corresponding spin chain model at strong 't Hooft coupling.
| [
{
"created": "Tue, 19 Aug 2008 17:07:34 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 2008 05:42:43 GMT",
"version": "v2"
}
] | 2009-02-23 | [
[
"Berenstein",
"David",
""
],
[
"Trancanelli",
"Diego",
""
]
] | We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be extracted from the analysis of the field theory. We revisit the calculations of the moduli space of vacua and the complete characterization of chiral ring operators by analyzing the field theory compactified on a 2-sphere. We show that many of the states dual to these operators can be interpreted as D-brane states in the weak coupling limit. Also, various features of the dual AdS geometry can be obtained by performing a strong coupling expansion around moduli space configurations, even though one is not taking the planar expansion. In particular, we show that at strong coupling the corresponding weak coupling D-brane states of the chiral ring localize on particular submanifolds of the dual geometry that match the M-theory interpretation. We also study the massive spectrum of fields in the moduli space. We use this to investigate the dispersion relation of giant magnons from the field theory point of view. Our analysis predicts the exact functional form of the dispersion relation as a function of the world-sheet momentum, independently of integrability assumptions, but not the exact form with respect to the 't Hooft coupling. We also get the dispersion relation of bound states of giant magnons from first principles, providing evidence for the full integrability of the corresponding spin chain model at strong 't Hooft coupling. |
1301.3170 | Christopher Eling | Christopher Eling, Yaron Oz, Stefan Theisen, and Shimon Yankielowicz | Conformal Anomalies in Hydrodynamics | 19 pages; v3: improved discussion in Section II C, fixed typos; v2:
significant update- results generalized to any dimension, references added | null | 10.1007/JHEP05(2013)037 | AEI-2013-038 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of conformal anomalies on the hydrodynamic description of
conformal field theories in even spacetime dimensions. We consider equilibrium
curved backgrounds characterized by a time-like Killing vector and construct a
local low energy effective action that captures the conformal anomalies. Using
as a special background the Rindler spacetime we derive a formula for the
anomaly effect on the hydrodynamic pressure. We find that this anomalous effect
is only due to the Euler central charge.
| [
{
"created": "Mon, 14 Jan 2013 22:05:55 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jan 2013 21:25:05 GMT",
"version": "v2"
},
{
"created": "Mon, 6 May 2013 14:22:32 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Eling",
"Christopher",
""
],
[
"Oz",
"Yaron",
""
],
[
"Theisen",
"Stefan",
""
],
[
"Yankielowicz",
"Shimon",
""
]
] | We study the effect of conformal anomalies on the hydrodynamic description of conformal field theories in even spacetime dimensions. We consider equilibrium curved backgrounds characterized by a time-like Killing vector and construct a local low energy effective action that captures the conformal anomalies. Using as a special background the Rindler spacetime we derive a formula for the anomaly effect on the hydrodynamic pressure. We find that this anomalous effect is only due to the Euler central charge. |
hep-th/9212071 | Siye Wu | Siye Wu | An Integration Formula for the Moment Maps of Circle Actions | LaTeX file, 17 pages (typos corrected, include non-isolated fixed
pts) | Lett.Math.Phys. 29 (1993) 311-328 | 10.1007/BF00750965 | null | hep-th | null | The integration of the exponential of the square of the moment map of the
circle action is studied by a direct stationary phase computation and by
applying the Duistermaat-Heckman formula. Both methods yield two distinct
formulas expressing the integral in terms of contributions from the critical
set of the square of the moment map. The cohomological pairings on the
symplectic quotient, including its volume (which was known to be a piecewise
polynomial), are computed explicitly using the asymptotic behavior of the two
formulas.
| [
{
"created": "Fri, 11 Dec 1992 04:55:12 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 1992 04:56:24 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Wu",
"Siye",
""
]
] | The integration of the exponential of the square of the moment map of the circle action is studied by a direct stationary phase computation and by applying the Duistermaat-Heckman formula. Both methods yield two distinct formulas expressing the integral in terms of contributions from the critical set of the square of the moment map. The cohomological pairings on the symplectic quotient, including its volume (which was known to be a piecewise polynomial), are computed explicitly using the asymptotic behavior of the two formulas. |
1307.1314 | Karthik Inbasekar | Karthik Inbasekar, Prasanta K. Tripathy | Stability of Bianchi attractors in Gauged Supergravity | 25 pages, V2 minor changes, added discussions on gauge field and
metric fluctuations | JHEP 1310 (2013) 163 | 10.1007/JHEP10(2013)163 | IMSc/2013/06/05, IITM/PH/TH/2013/2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we analyse the stability of extremal black brane horizons with
homogeneous symmetry in the spatial directions in five dimensional gauged
supergravity, under the fluctuations of the scalar fields about their attractor
values. We examine the scalar fluctuation equations at the linearised level and
demand that the fluctuations vanish as one approaches the horizon. Imposing
certain restrictions on the Killing vectors used for gauging we find that the
necessary conditions for stability are satisfied only by a subclass of the
Bianchi metrics whose symmetry group factorises into a two dimensional Lifshitz
symmetry and any homogeneous symmetry group given by the Bianchi
classification. We apply these results to a simple example of a gauged
supergravity model with one vector multiplet to find the stable attractors.
| [
{
"created": "Thu, 4 Jul 2013 12:55:13 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Sep 2013 17:47:10 GMT",
"version": "v2"
}
] | 2013-10-30 | [
[
"Inbasekar",
"Karthik",
""
],
[
"Tripathy",
"Prasanta K.",
""
]
] | In this paper, we analyse the stability of extremal black brane horizons with homogeneous symmetry in the spatial directions in five dimensional gauged supergravity, under the fluctuations of the scalar fields about their attractor values. We examine the scalar fluctuation equations at the linearised level and demand that the fluctuations vanish as one approaches the horizon. Imposing certain restrictions on the Killing vectors used for gauging we find that the necessary conditions for stability are satisfied only by a subclass of the Bianchi metrics whose symmetry group factorises into a two dimensional Lifshitz symmetry and any homogeneous symmetry group given by the Bianchi classification. We apply these results to a simple example of a gauged supergravity model with one vector multiplet to find the stable attractors. |
hep-th/0602194 | Sanjeev S. Seahra | Sanjeev S. Seahra | Gravitational waves and cosmological braneworlds: a characteristic
evolution scheme | 21 pages, 18 figures. Points of clarification added to Secs. V and
VIIA concerning initial conditions and basis functions, respectively. Other
minor typos corrected, references updated. To appear in PRD | Phys.Rev.D74:044010,2006 | 10.1103/PhysRevD.74.044010 | null | hep-th astro-ph gr-qc | null | Motivated by the problem of the evolution of bulk gravitational waves in
Randall-Sundrum cosmology, we develop a characteristic numerical scheme to
solve 1+1 dimensional wave equations in the presence of a moving timelike
boundary. The scheme exhibits quadratic convergence, is capable of handling
arbitrary brane trajectories, and is easily extendible to non-AdS bulk
geometries. We use our method to contrast two different prescriptions for the
bulk fluctuation initial conditions found in the literature; namely, those of
Hiramatsu et al. (hep-th/0410247) and Ichiki and Nakamura (astro-ph/0406606).
We find that if the initial data surface is set far enough in the past, the
late time waveform on the brane is insensitive to the choice between the two
possibilities; and we present numeric and analytic evidence that this
phenomenon generalizes to more generic initial data. Observationally, the main
consequence of this work is to re-affirm previous claims that the stochastic
gravitational wave spectrum is predominantly flat, in contradiction with naive
predictions from the effective 4-dimensional theory. Furthermore, this flat
spectrum result is predicted to be robust against uncertainties in (or
modifications of) the bulk initial data, provided that the energy scale of
brane inflation is high enough.
| [
{
"created": "Mon, 20 Feb 2006 12:51:55 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 2006 11:29:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Seahra",
"Sanjeev S.",
""
]
] | Motivated by the problem of the evolution of bulk gravitational waves in Randall-Sundrum cosmology, we develop a characteristic numerical scheme to solve 1+1 dimensional wave equations in the presence of a moving timelike boundary. The scheme exhibits quadratic convergence, is capable of handling arbitrary brane trajectories, and is easily extendible to non-AdS bulk geometries. We use our method to contrast two different prescriptions for the bulk fluctuation initial conditions found in the literature; namely, those of Hiramatsu et al. (hep-th/0410247) and Ichiki and Nakamura (astro-ph/0406606). We find that if the initial data surface is set far enough in the past, the late time waveform on the brane is insensitive to the choice between the two possibilities; and we present numeric and analytic evidence that this phenomenon generalizes to more generic initial data. Observationally, the main consequence of this work is to re-affirm previous claims that the stochastic gravitational wave spectrum is predominantly flat, in contradiction with naive predictions from the effective 4-dimensional theory. Furthermore, this flat spectrum result is predicted to be robust against uncertainties in (or modifications of) the bulk initial data, provided that the energy scale of brane inflation is high enough. |
hep-th/0412277 | Jan Louis | Thomas W. Grimm and Jan Louis | The effective action of Type IIA Calabi-Yau orientifolds | 51 pages, typos corrected | Nucl.Phys.B718:153-202,2005 | 10.1016/j.nuclphysb.2005.04.007 | null | hep-th | null | The N=1 effective action for generic type IIA Calabi-Yau orientifolds in the
presence of background fluxes is computed from a Kaluza-Klein reduction. The
Kahler potential, the gauge kinetic functions and the flux-induced
superpotential are determined in terms of geometrical data of the Calabi-Yau
orientifold and the background fluxes. The moduli space is found to be a Kahler
subspace of the N=2 moduli space and shown to coincide with the moduli space
arising in compactification of M-theory on a specific class of G_2 manifolds.
The superpotential depends on all geometrical moduli and vanishes at leading
order when background fluxes are turned off. The N=1 chiral coordinates
linearize the appropriate instanton actions such that instanton effects can
lead to holomorphic corrections of the superpotential. Mirror symmetry between
type IIA and type IIB orientifolds is shown to hold at the level of the
effective action in the large volume - large complex structure limit.
| [
{
"created": "Wed, 22 Dec 2004 20:51:54 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2005 17:40:07 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Louis",
"Jan",
""
]
] | The N=1 effective action for generic type IIA Calabi-Yau orientifolds in the presence of background fluxes is computed from a Kaluza-Klein reduction. The Kahler potential, the gauge kinetic functions and the flux-induced superpotential are determined in terms of geometrical data of the Calabi-Yau orientifold and the background fluxes. The moduli space is found to be a Kahler subspace of the N=2 moduli space and shown to coincide with the moduli space arising in compactification of M-theory on a specific class of G_2 manifolds. The superpotential depends on all geometrical moduli and vanishes at leading order when background fluxes are turned off. The N=1 chiral coordinates linearize the appropriate instanton actions such that instanton effects can lead to holomorphic corrections of the superpotential. Mirror symmetry between type IIA and type IIB orientifolds is shown to hold at the level of the effective action in the large volume - large complex structure limit. |
hep-th/0103215 | Yu. A. Sitenko | Yu. A. Sitenko (Bogolyubov Institute, Kyiv) | One-Loop Effective Action for the Extended Spinor Electrodynamics with
Violation of Lorentz and CPT Symmetry | 9 pages, LaTeX, v2: conceptual changes | Phys.Lett.B515:414-420,2001 | 10.1016/S0370-2693(01)00862-0 | null | hep-th | null | If violation of Lorentz and CPT symmetry is introduced into the fermion
sector of conventional quantum electrodynamics, then the Chern-Simons term is
radiatively induced with finite nonzero coefficient, as well as the Maxwell
term is with logarithmically divergent one. The heat kernel expansion and the
proper time methods are used to determine the effective action in the one-loop
approximation unambiguously.
| [
{
"created": "Mon, 26 Mar 2001 16:48:12 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2001 09:07:07 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Sitenko",
"Yu. A.",
"",
"Bogolyubov Institute, Kyiv"
]
] | If violation of Lorentz and CPT symmetry is introduced into the fermion sector of conventional quantum electrodynamics, then the Chern-Simons term is radiatively induced with finite nonzero coefficient, as well as the Maxwell term is with logarithmically divergent one. The heat kernel expansion and the proper time methods are used to determine the effective action in the one-loop approximation unambiguously. |
hep-th/0304213 | Nicolas Moeller | Nicolas Moeller and Martin Schnabl | Tachyon condensation in open-closed p-adic string theory | 21 pages, 3 figures; v2: discussion of the fluctuations of the double
lump substantially improved | JHEP 0401 (2004) 011 | 10.1088/1126-6708/2004/01/011 | null | hep-th | null | We study a simple model of p-adic closed and open strings. It sheds some
light on the dynamics of tachyon condensation for both types of strings. We
calculate the effect of static and decaying D-brane configurations on the
closed string background. For closed string tachyons we find lumps analogous to
D-branes. By studying their fluctuation spectrum and the D-branes they admit,
we argue that closed string lumps should be interpreted as spacetimes of lower
dimensionality described by some noncritical p-adic string theory.
| [
{
"created": "Fri, 25 Apr 2003 03:51:48 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2004 11:35:48 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Moeller",
"Nicolas",
""
],
[
"Schnabl",
"Martin",
""
]
] | We study a simple model of p-adic closed and open strings. It sheds some light on the dynamics of tachyon condensation for both types of strings. We calculate the effect of static and decaying D-brane configurations on the closed string background. For closed string tachyons we find lumps analogous to D-branes. By studying their fluctuation spectrum and the D-branes they admit, we argue that closed string lumps should be interpreted as spacetimes of lower dimensionality described by some noncritical p-adic string theory. |
hep-th/9604112 | Keith Dienes | Keith R. Dienes and John March-Russell (Institute for Advanced Study,
Princeton) | Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings
for String GUTs | 69 pages, LaTeX, 5 figures (Encapsulated PostScript). Revised to
match published version | Nucl.Phys. B479 (1996) 113-172 | 10.1016/0550-3213(96)00406-3 | IASSNS-HEP-95/56 (April 1996) | hep-th hep-ph | null | We consider the methods by which higher-level and non-simply laced gauge
symmetries can be realized in free-field heterotic string theory. We show that
all such realizations have a common underlying feature, namely a dimensional
truncation of the charge lattice, and we identify such dimensional truncations
with certain irregular embeddings of higher-level and non-simply laced gauge
groups within level-one simply-laced gauge groups. This identification allows
us to formulate a direct mapping between a given subgroup embedding, and the
sorts of GSO constraints that are necessary in order to realize the embedding
in string theory. This also allows us to determine a number of useful
constraints that generally affect string GUT model-building. For example, most
string GUT realizations of higher-level gauge symmetries G_k employ the
so-called diagonal embeddings G_k\subset G\times G \times...\times G. We find
that there exist interesting alternative embeddings by which such groups can be
realized at higher levels, and we derive a complete list of all possibilities
for the GUT groups SU(5), SU(6), SO(10), and E_6 at levels k=2,3,4 (and in some
cases up to k=7). We find that these new embeddings are always more efficient
and require less central charge than the diagonal embeddings which have
traditionally been employed. As a byproduct, we also prove that it is
impossible to realize SO(10) at levels k>4. This implies, in particular, that
free-field heterotic string models can never give a massless 126 representation
of SO(10).
| [
{
"created": "Fri, 19 Apr 1996 05:23:22 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Mar 1997 22:02:30 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dienes",
"Keith R.",
"",
"Institute for Advanced Study,\n Princeton"
],
[
"March-Russell",
"John",
"",
"Institute for Advanced Study,\n Princeton"
]
] | We consider the methods by which higher-level and non-simply laced gauge symmetries can be realized in free-field heterotic string theory. We show that all such realizations have a common underlying feature, namely a dimensional truncation of the charge lattice, and we identify such dimensional truncations with certain irregular embeddings of higher-level and non-simply laced gauge groups within level-one simply-laced gauge groups. This identification allows us to formulate a direct mapping between a given subgroup embedding, and the sorts of GSO constraints that are necessary in order to realize the embedding in string theory. This also allows us to determine a number of useful constraints that generally affect string GUT model-building. For example, most string GUT realizations of higher-level gauge symmetries G_k employ the so-called diagonal embeddings G_k\subset G\times G \times...\times G. We find that there exist interesting alternative embeddings by which such groups can be realized at higher levels, and we derive a complete list of all possibilities for the GUT groups SU(5), SU(6), SO(10), and E_6 at levels k=2,3,4 (and in some cases up to k=7). We find that these new embeddings are always more efficient and require less central charge than the diagonal embeddings which have traditionally been employed. As a byproduct, we also prove that it is impossible to realize SO(10) at levels k>4. This implies, in particular, that free-field heterotic string models can never give a massless 126 representation of SO(10). |
2007.04333 | Arjun Kar | Vijay Balasubramanian, Arjun Kar, Simon F. Ross, Tomonori Ugajin | Spin structures and baby universes | 34 pages, 5 figures | null | 10.1007/JHEP09(2020)192 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend a 2d topological model of the gravitational path integral to
include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond
(R) boundary conditions for fermions. The Euclidean path integral vanishes when
the number of R boundaries is odd. This path integral corresponds to a
correlator of boundary creation operators on a non-trivial baby universe
Hilbert space. The non-factorization necessitates a dual interpretation of the
bulk path integral in terms of a product of partition functions (associated to
NS boundaries) and Witten indices (associated to R boundaries), averaged over
an ensemble of theories with varying Hilbert space dimension and different
numbers of bosonic and fermionic states. We also consider a model with
End-of-the-World (EOW) branes: the dual ensemble then includes a sum over
randomly chosen fermionic and bosonic states. We propose two modifications of
the bulk path integral which restore an interpretation in a single dual theory:
(i) a geometric prescription where we add extra boundaries with a sum over
their spin structures, and (ii) an algebraic prescription involving "spacetime
D-branes". We extend our ideas to Jackiw-Teitelboim gravity, and propose a dual
description of a single unitary theory with spin structure in a system with
eigenbranes.
| [
{
"created": "Wed, 8 Jul 2020 18:00:04 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Kar",
"Arjun",
""
],
[
"Ross",
"Simon F.",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We extend a 2d topological model of the gravitational path integral to include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond (R) boundary conditions for fermions. The Euclidean path integral vanishes when the number of R boundaries is odd. This path integral corresponds to a correlator of boundary creation operators on a non-trivial baby universe Hilbert space. The non-factorization necessitates a dual interpretation of the bulk path integral in terms of a product of partition functions (associated to NS boundaries) and Witten indices (associated to R boundaries), averaged over an ensemble of theories with varying Hilbert space dimension and different numbers of bosonic and fermionic states. We also consider a model with End-of-the-World (EOW) branes: the dual ensemble then includes a sum over randomly chosen fermionic and bosonic states. We propose two modifications of the bulk path integral which restore an interpretation in a single dual theory: (i) a geometric prescription where we add extra boundaries with a sum over their spin structures, and (ii) an algebraic prescription involving "spacetime D-branes". We extend our ideas to Jackiw-Teitelboim gravity, and propose a dual description of a single unitary theory with spin structure in a system with eigenbranes. |
1305.2996 | Yi-Jian Du | Chih-Hao Fu, Yi-Jian Du, Bo Feng | Note on Construction of Dual-trace Factor in Yang-Mills Theory | 15 pages, improved version | null | 10.1007/JHEP10(2013)069 | null | hep-th hep-ph | http://creativecommons.org/licenses/by-nc-sa/3.0/ | In this note we provide a new construction of BCJ dual-trace factor using the
kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different
from the construction given in arXiv:1304.2978 based on the proposal of
arXiv:1103.0312, the method used in this note exploits the adjoint
representation of kinematic algebra and the use of inner product in dual space.
The dual-trace factor defined in this way naturally satisfies cyclic symmetry
condition but not KK-relation, just like the trace of U(N) Lie algebra
satisfies cyclic symmetry condition, but not KK-relation. In other words the
new construction naturally leads to formulation sharing more similarities with
the color decomposition of Yang-Mills amplitude.
| [
{
"created": "Tue, 14 May 2013 01:54:26 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jun 2013 05:01:36 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Fu",
"Chih-Hao",
""
],
[
"Du",
"Yi-Jian",
""
],
[
"Feng",
"Bo",
""
]
] | In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different from the construction given in arXiv:1304.2978 based on the proposal of arXiv:1103.0312, the method used in this note exploits the adjoint representation of kinematic algebra and the use of inner product in dual space. The dual-trace factor defined in this way naturally satisfies cyclic symmetry condition but not KK-relation, just like the trace of U(N) Lie algebra satisfies cyclic symmetry condition, but not KK-relation. In other words the new construction naturally leads to formulation sharing more similarities with the color decomposition of Yang-Mills amplitude. |
hep-th/9306106 | John Gracey | J.A. Gracey | Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in
Arbitrary Dimensions | 25 pages latex, 12 figures (available on request from the author),
LTH-312 | Int. J. Mod. Phys. A9 (1994) 567-590 | 10.1142/S0217751X94000285 | null | hep-th | null | By using the corrections to the asymptotic scaling forms of the fields of the
$O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson
equations, we deduce the critical exponent corresponding to the
$\beta$-function of the model at $O(1/N^2)$.
| [
{
"created": "Mon, 21 Jun 1993 14:53:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gracey",
"J. A.",
""
]
] | By using the corrections to the asymptotic scaling forms of the fields of the $O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson equations, we deduce the critical exponent corresponding to the $\beta$-function of the model at $O(1/N^2)$. |
hep-th/0111212 | Shiraz Minwalla | Justin R. David, Michael Gutperle, Matthew Headrick, and Shiraz
Minwalla | Closed String Tachyon Condensation on Twisted Circles | 21 pages plus appendices (12 pages), harvmac, 1 fig, v2: minor
changes and references added, v3: minor changes version published in JHEP | JHEP 0202:041,2002 | 10.1088/1126-6708/2002/02/041 | HUTP-01/A059 | hep-th | null | We study IIA/B string theory compactified on twisted circles. These models
possess closed string tachyons and reduce to type 0B/A theory in a special
limit. Using methods of gauged linear sigma models and mirror symmetry we
construct a conformal field theory which interpolates between these models and
flat space via an auxiliary Liouville direction. Interpreting motion in the
Liouville direction as renormalization group flow, we argue that the end point
of tachyon condensation in all these models (including 0B/A theory) is
supersymmetric type II theory. We also find a zero-slope limit of these models
which is best described in a T-dual picture as a type II NS-NS fluxbrane. In
this limit tachyon condensation is an interesting and well posed problem in
supergravity. We explicitly determine the tachyon as a fluctuation of
supergravity fields, and perform a rudimentary numerical analysis of the
relevant flows.
| [
{
"created": "Fri, 23 Nov 2001 06:59:37 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2001 20:03:29 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Mar 2002 21:03:51 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"David",
"Justin R.",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Headrick",
"Matthew",
""
],
[
"Minwalla",
"Shiraz",
""
]
] | We study IIA/B string theory compactified on twisted circles. These models possess closed string tachyons and reduce to type 0B/A theory in a special limit. Using methods of gauged linear sigma models and mirror symmetry we construct a conformal field theory which interpolates between these models and flat space via an auxiliary Liouville direction. Interpreting motion in the Liouville direction as renormalization group flow, we argue that the end point of tachyon condensation in all these models (including 0B/A theory) is supersymmetric type II theory. We also find a zero-slope limit of these models which is best described in a T-dual picture as a type II NS-NS fluxbrane. In this limit tachyon condensation is an interesting and well posed problem in supergravity. We explicitly determine the tachyon as a fluctuation of supergravity fields, and perform a rudimentary numerical analysis of the relevant flows. |
1302.0280 | Daniel Grumiller | D. Grumiller, W. Riedler, J. Rosseel and T. Zojer | Holographic applications of logarithmic conformal field theories | 36 pp + references, invited review article for J.Phys.A special
issue, v2: minor changes, added refs | J. Phys. A: Math. Theor. 46 (2013) 494002 | 10.1088/1751-8113/46/49/494002 | TUW-13-01 | hep-th cond-mat.stat-mech gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the relations between Jordan cells in various branches of physics,
ranging from quantum mechanics to massive gravity theories. Our main focus is
on holographic correspondences between critically tuned gravity theories in
Anti-de Sitter space and logarithmic conformal field theories in various
dimensions. We summarize the developments in the past five years, include some
novel generalizations and provide an outlook on possible future developments.
| [
{
"created": "Fri, 1 Feb 2013 20:50:55 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2013 16:18:21 GMT",
"version": "v2"
}
] | 2013-11-22 | [
[
"Grumiller",
"D.",
""
],
[
"Riedler",
"W.",
""
],
[
"Rosseel",
"J.",
""
],
[
"Zojer",
"T.",
""
]
] | We review the relations between Jordan cells in various branches of physics, ranging from quantum mechanics to massive gravity theories. Our main focus is on holographic correspondences between critically tuned gravity theories in Anti-de Sitter space and logarithmic conformal field theories in various dimensions. We summarize the developments in the past five years, include some novel generalizations and provide an outlook on possible future developments. |
1402.5153 | Christopher Pope | Hai-Shan Liu, H. Lu and C.N. Pope | Thermodynamics of Einstein-Proca AdS Black Holes | 35 pages, Improved discussion of cases with logarithmic asymptotic
fall offs | null | 10.1007/JHEP06(2014)109 | MIFPA-14-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study static spherically-symmetric solutions of the Einstein-Proca
equations in the presence of a negative cosmological constant. We show that the
theory admits solutions describing both black holes and also solitons in an
asymptotically AdS background. Interesting subtleties can arise in the
computation of the mass of the solutions and also in the derivation of the
first law of thermodynamics. We make use of holographic renormalisation in
order to calculate the mass, even in cases where the solutions have a rather
slow approach to the asymptotic AdS geometry. By using the procedure developed
by Wald, we derive the first law of thermodynamics for the black hole and
soliton solutions. This includes a non-trivial contribution associated with the
Proca "charge." The solutions cannot be found analytically, and so we make use
of numerical integration techniques to demonstrate their existence.
| [
{
"created": "Thu, 20 Feb 2014 21:31:55 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jun 2014 02:14:54 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Liu",
"Hai-Shan",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We study static spherically-symmetric solutions of the Einstein-Proca equations in the presence of a negative cosmological constant. We show that the theory admits solutions describing both black holes and also solitons in an asymptotically AdS background. Interesting subtleties can arise in the computation of the mass of the solutions and also in the derivation of the first law of thermodynamics. We make use of holographic renormalisation in order to calculate the mass, even in cases where the solutions have a rather slow approach to the asymptotic AdS geometry. By using the procedure developed by Wald, we derive the first law of thermodynamics for the black hole and soliton solutions. This includes a non-trivial contribution associated with the Proca "charge." The solutions cannot be found analytically, and so we make use of numerical integration techniques to demonstrate their existence. |
hep-th/9703207 | Zhao Liu | Liu Zhao, Changzheng Qu | Bosonic Super Liouville System: Lax Pair and Solution | LaTeX, no figures, 11 pages | Int.J.Theor.Phys. 36 (1997) 1537-1546 | 10.1007/BF02435754 | null | hep-th | null | We study the bosonic super Liouville system which is a statistical
transmutation of super Liouville system. Lax pair for the bosonic super
Liouville system is constructed using prolongation method, ensuring the Lax
integrability, and the solution to the equations of motion is also considered
via Leznov-Saveliev analysis.
| [
{
"created": "Fri, 28 Mar 1997 23:58:06 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Zhao",
"Liu",
""
],
[
"Qu",
"Changzheng",
""
]
] | We study the bosonic super Liouville system which is a statistical transmutation of super Liouville system. Lax pair for the bosonic super Liouville system is constructed using prolongation method, ensuring the Lax integrability, and the solution to the equations of motion is also considered via Leznov-Saveliev analysis. |
1209.6624 | Hai Lin | Hai Lin | Giant gravitons and correlators | 18 pages; jhep version | null | 10.1007/JHEP12(2012)011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate non-extremal correlators of Schur polynomials and single trace
operators. We analyse their dual descriptions from the approach of the
variation of DBI and WZ actions of the giant gravitons. We show a
regularization procedure under which the extremal correlators of Schur
polynomials and single trace operators match exactly with string theory
computation. Other aspects of the extremal and non-extremal correlators are
also discussed.
| [
{
"created": "Fri, 28 Sep 2012 19:41:33 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2012 17:14:13 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2012 22:02:22 GMT",
"version": "v3"
}
] | 2021-05-06 | [
[
"Lin",
"Hai",
""
]
] | We calculate non-extremal correlators of Schur polynomials and single trace operators. We analyse their dual descriptions from the approach of the variation of DBI and WZ actions of the giant gravitons. We show a regularization procedure under which the extremal correlators of Schur polynomials and single trace operators match exactly with string theory computation. Other aspects of the extremal and non-extremal correlators are also discussed. |
0807.1855 | Stefano Bellucci | S. Bellucci, D. O'Reilly | Inclusion of Yang-Mills Fields in String Corrected Supergravity | 11 pages, LaTeX file, PACS number: 04.65.+e | Phys.Lett.B666:193-198,2008 | 10.1016/j.physletb.2008.07.004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consistently incorporate Yang Mills matter fields into string corrected
(deformed), D=10, N=1 Supergravity. We solve the Bianchi identities within the
framework of the modified beta function favored constraints to second order in
the string slope parameter $\g$ also including the Yang Mills fields. In the
torsion, curvature and H sectors we find that a consistent solution is readily
obtained with a Yang Mills modified supercurrent $A_{abc}$. We find a solution
in the F sector following our previously developed method.
| [
{
"created": "Fri, 11 Jul 2008 13:34:35 GMT",
"version": "v1"
}
] | 2010-11-15 | [
[
"Bellucci",
"S.",
""
],
[
"O'Reilly",
"D.",
""
]
] | We consistently incorporate Yang Mills matter fields into string corrected (deformed), D=10, N=1 Supergravity. We solve the Bianchi identities within the framework of the modified beta function favored constraints to second order in the string slope parameter $\g$ also including the Yang Mills fields. In the torsion, curvature and H sectors we find that a consistent solution is readily obtained with a Yang Mills modified supercurrent $A_{abc}$. We find a solution in the F sector following our previously developed method. |
hep-th/0504054 | Andrew Neitzke | Mina Aganagic, Andrew Neitzke, Cumrun Vafa | BPS Microstates and the Open Topological String Wave Function | 50 pages, LaTeX | null | null | HUTP-05/A0016, UCB-PTH-05/09 | hep-th | null | It has recently been conjectured that the closed topological string wave
function computes a grand canonical partition function of BPS black hole states
in 4 dimensions: Z_BH=|psi_top|^2. We conjecture that the open topological
string wave function also computes a grand canonical partition function, which
sums over black holes bound to BPS excitations on D-branes wrapping cycles of
the internal Calabi-Yau: Z^open_BPS=|psi^open_top|^2. This conjecture is
verified in the case of Type IIA on a local Calabi-Yau threefold involving a
Riemann surface, where the degeneracies of BPS states can be computed in
q-deformed 2-dimensional Yang-Mills theory.
| [
{
"created": "Wed, 6 Apr 2005 22:08:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aganagic",
"Mina",
""
],
[
"Neitzke",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] | It has recently been conjectured that the closed topological string wave function computes a grand canonical partition function of BPS black hole states in 4 dimensions: Z_BH=|psi_top|^2. We conjecture that the open topological string wave function also computes a grand canonical partition function, which sums over black holes bound to BPS excitations on D-branes wrapping cycles of the internal Calabi-Yau: Z^open_BPS=|psi^open_top|^2. This conjecture is verified in the case of Type IIA on a local Calabi-Yau threefold involving a Riemann surface, where the degeneracies of BPS states can be computed in q-deformed 2-dimensional Yang-Mills theory. |
hep-th/0210297 | Giorgio Immirzi | A.P. Balachandran, Giorgio Immirzi, Joohan Lee and Peter Presnajder | Dirac Operators on Coset Spaces | section on Riemannian structure improved, references added | J.Math.Phys. 44 (2003) 4713-4735 | 10.1063/1.1607514 | SU-4252-749, DFUP-02-12 | hep-th gr-qc math-ph math.DG math.MP | null | The Dirac operator for a manifold Q, and its chirality operator when Q is
even dimensional, have a central role in noncommutative geometry. We
systematically develop the theory of this operator when Q=G/H, where G and H
are compact connected Lie groups and G is simple. An elementary discussion of
the differential geometric and bundle theoretic aspects of G/H, including its
projective modules and complex, Kaehler and Riemannian structures, is presented
for this purpose. An attractive feature of our approach is that it
transparently shows obstructions to spin- and spin_c-structures. When a
manifold is spin_c and not spin, U(1) gauge fields have to be introduced in a
particular way to define spinors. Likewise, for manifolds like SU(3)/SO(3),
which are not even spin_c, we show that SU(2) and higher rank gauge fields have
to be introduced to define spinors. This result has potential consequences for
string theories if such manifolds occur as D-branes. The spectra and
eigenstates of the Dirac operator on spheres S^n=SO(n+1)/SO(n), invariant under
SO(n+1), are explicitly found. Aspects of our work overlap with the earlier
research of Cahen et al..
| [
{
"created": "Wed, 30 Oct 2002 23:44:09 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 2003 13:27:46 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Balachandran",
"A. P.",
""
],
[
"Immirzi",
"Giorgio",
""
],
[
"Lee",
"Joohan",
""
],
[
"Presnajder",
"Peter",
""
]
] | The Dirac operator for a manifold Q, and its chirality operator when Q is even dimensional, have a central role in noncommutative geometry. We systematically develop the theory of this operator when Q=G/H, where G and H are compact connected Lie groups and G is simple. An elementary discussion of the differential geometric and bundle theoretic aspects of G/H, including its projective modules and complex, Kaehler and Riemannian structures, is presented for this purpose. An attractive feature of our approach is that it transparently shows obstructions to spin- and spin_c-structures. When a manifold is spin_c and not spin, U(1) gauge fields have to be introduced in a particular way to define spinors. Likewise, for manifolds like SU(3)/SO(3), which are not even spin_c, we show that SU(2) and higher rank gauge fields have to be introduced to define spinors. This result has potential consequences for string theories if such manifolds occur as D-branes. The spectra and eigenstates of the Dirac operator on spheres S^n=SO(n+1)/SO(n), invariant under SO(n+1), are explicitly found. Aspects of our work overlap with the earlier research of Cahen et al.. |
hep-th/0206092 | Natalia Saulina | Gregory Moore and Natalia Saulina | T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring
Theory | 73 pages, harvmac, b-mode | Nucl.Phys. B670 (2003) 27-89 | 10.1016/j.nuclphysb.2003.07.028 | RUNHETC-2002-15; NI 02013-MTH | hep-th | null | We study the partition function of type IIA string theory on 10-manifolds of
the form T^2 x X where X is 8-dimensional, compact, and spin. We pay particular
attention to the effects of the topological phases in the supergravity action
implied by the K-theoretic formulation of RR fields, and we use these to check
the T-duality invariance of the partition function. We find that the partition
function is only T-duality invariant when we take into account the T-duality
anomalies in the RR sector, the fermionic path integral (including 4-fermi
interaction terms), and 1-loop corrections including worldsheet instantons. We
comment on applications of our computation to speculations about the role of
the Romans mass in M-theory. We also discuss some issues which arise when one
attempts to extend these considerations to checking the full U-duality
invariance of the theory.
| [
{
"created": "Tue, 11 Jun 2002 18:58:36 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Moore",
"Gregory",
""
],
[
"Saulina",
"Natalia",
""
]
] | We study the partition function of type IIA string theory on 10-manifolds of the form T^2 x X where X is 8-dimensional, compact, and spin. We pay particular attention to the effects of the topological phases in the supergravity action implied by the K-theoretic formulation of RR fields, and we use these to check the T-duality invariance of the partition function. We find that the partition function is only T-duality invariant when we take into account the T-duality anomalies in the RR sector, the fermionic path integral (including 4-fermi interaction terms), and 1-loop corrections including worldsheet instantons. We comment on applications of our computation to speculations about the role of the Romans mass in M-theory. We also discuss some issues which arise when one attempts to extend these considerations to checking the full U-duality invariance of the theory. |
hep-th/9909214 | Birjand University /iran | Mohammad R. Garousi | Non-commutative world-volume interactions on D-brane and
Dirac-Born-Infeld action | 22 pages, Latex, no figures, Abstract and Introduction sections
revised, to appear in Nucl. Phys. B | Nucl.Phys. B579 (2000) 209-228 | 10.1016/S0550-3213(99)00826-3 | IPM/P-99/051 | hep-th | null | By integrating the Seiberg-Witten differential equation in a special path, we
write ordinary gauge fields in terms of their non-commutative counterparts up
to three non-commutative gauge fields. We then use this change of variables to
write ordinary abelian Dirac-Born-Infeld action in terms of non-commutative
fields. The resulting action is then compared with various low energy contact
terms of world-sheet perturbative string scattering amplitudes from
non-commutative D$p$-brane. We find completely agreement between the field
theory and string theory results. Hence, it shows that perturbative string
theory knows the solution of the Seiberg-Witten differential equation.
| [
{
"created": "Wed, 29 Sep 1999 15:23:56 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Oct 1999 15:24:45 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Dec 1999 09:34:15 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Garousi",
"Mohammad R.",
""
]
] | By integrating the Seiberg-Witten differential equation in a special path, we write ordinary gauge fields in terms of their non-commutative counterparts up to three non-commutative gauge fields. We then use this change of variables to write ordinary abelian Dirac-Born-Infeld action in terms of non-commutative fields. The resulting action is then compared with various low energy contact terms of world-sheet perturbative string scattering amplitudes from non-commutative D$p$-brane. We find completely agreement between the field theory and string theory results. Hence, it shows that perturbative string theory knows the solution of the Seiberg-Witten differential equation. |
hep-th/0601047 | Rui Neves | Emilio Elizalde and Rui Neves | Modified Gravity on the Brane and Dark Energy | Revised version published in Gen. Rel. Grav. Typos corrected, updated
reference and some remarks added for clarity. 11 pages, latex, no figures | Gen.Rel.Grav.38:1367-1377,2006 | 10.1007/s10714-006-0316-z | null | hep-th | null | We analyze the dynamics of an AdS5 braneworld with matter fields when gravity
is allowed to deviate from the Einstein form on the brane. We consider exact
5-dimensional warped solutions which are associated with conformal bulk fields
of weight -4 and describe on the brane the following three dynamics: those of
inhomogeneous dust, of generalized dark radiation, and of homogeneous
polytropic dark energy. We show that, with modified gravity on the brane, the
existence of such dynamical geometries requires the presence of non-conformal
matter fields confined to the brane.
| [
{
"created": "Sun, 8 Jan 2006 22:58:57 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2006 10:41:16 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Elizalde",
"Emilio",
""
],
[
"Neves",
"Rui",
""
]
] | We analyze the dynamics of an AdS5 braneworld with matter fields when gravity is allowed to deviate from the Einstein form on the brane. We consider exact 5-dimensional warped solutions which are associated with conformal bulk fields of weight -4 and describe on the brane the following three dynamics: those of inhomogeneous dust, of generalized dark radiation, and of homogeneous polytropic dark energy. We show that, with modified gravity on the brane, the existence of such dynamical geometries requires the presence of non-conformal matter fields confined to the brane. |
hep-th/9506146 | Oswaldo Monteiro del Cima | M.A. de Andrade, O.M. Del Cima and L.P. Colatto | N=1 super-Chern-Simons coupled to parity-preserving matter from
Atiyah-Ward space-time | 7 pages, latex, no figures | Phys.Lett. B370 (1996) 59-64 | 10.1016/0370-2693(95)01562-0 | CBPF-NF-026/95 | hep-th | null | In this letter, we present the Parkes-Siegel formulation for the massive
Abelian $N$$=$$1$ super-{\QED} coupled to a self-dual supermultiplet, by
introducing a chiral multiplier superfield. We show that after carrying out a
suitable dimensional reduction from ($2$$+$$2$) to ($1$$+$$2$) dimensions, and
performing some necessary truncations, the simple supersymmetric extension of
the ${\tau}_{3}$QED$_{1+2}$ coupled to a Chern-Simons term naturally comes out.
| [
{
"created": "Wed, 21 Jun 1995 18:24:04 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 1995 19:54:14 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"de Andrade",
"M. A.",
""
],
[
"Del Cima",
"O. M.",
""
],
[
"Colatto",
"L. P.",
""
]
] | In this letter, we present the Parkes-Siegel formulation for the massive Abelian $N$$=$$1$ super-{\QED} coupled to a self-dual supermultiplet, by introducing a chiral multiplier superfield. We show that after carrying out a suitable dimensional reduction from ($2$$+$$2$) to ($1$$+$$2$) dimensions, and performing some necessary truncations, the simple supersymmetric extension of the ${\tau}_{3}$QED$_{1+2}$ coupled to a Chern-Simons term naturally comes out. |
hep-th/0606072 | Gorsky Alexander | A.Gorsky | Spontaneous Creation of the Brane World and Direction of the Time Arrow | 12 pages, 3 figures | Phys.Lett.B646:183-188,2007 | 10.1016/j.physletb.2007.01.034 | null | hep-th gr-qc | null | In this note we consider the spontaneous creation of the brane world in
five-dimensional space with nondynamical external four-form field via
spherically asymmetric bounce solution. We argue that spherically asymmetric
bounce suggests several inequivalent directions of the time arrow upon the
analytic continuation to the space-time with Lorentzian signature. It it shown
that S-branes in the imaginary time emerge naturally upon the particular
continuation.
| [
{
"created": "Thu, 8 Jun 2006 10:59:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gorsky",
"A.",
""
]
] | In this note we consider the spontaneous creation of the brane world in five-dimensional space with nondynamical external four-form field via spherically asymmetric bounce solution. We argue that spherically asymmetric bounce suggests several inequivalent directions of the time arrow upon the analytic continuation to the space-time with Lorentzian signature. It it shown that S-branes in the imaginary time emerge naturally upon the particular continuation. |
1007.0435 | Xavier Bekaert | Xavier Bekaert, Nicolas Boulanger and Per Sundell | How higher-spin gravity surpasses the spin two barrier: no-go theorems
versus yes-go examples | LaTeX, 50 pages, minor changes, many refs added; version accepted for
publication in Reviews of Modern Physics | null | 10.1103/RevModPhys.84.987 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aiming at non-experts, we explain the key mechanisms of higher-spin
extensions of ordinary gravity. We first overview various no-go theorems for
low-energy scattering of massless particles in flat spacetime. In doing so we
dress a dictionary between the S-matrix and the Lagrangian approaches,
exhibiting their relative advantages and weaknesses, after which we high-light
potential loop-holes for non-trivial massless dynamics. We then review positive
yes-go results for non-abelian cubic higher-derivative vertices in constantly
curved backgrounds. Finally we outline how higher-spin symmetry can be
reconciled with the equivalence principle in the presence of a cosmological
constant leading to the Fradkin--Vasiliev vertices and Vasiliev's higher-spin
gravity with its double perturbative expansion (in terms of numbers of fields
and derivatives).
| [
{
"created": "Fri, 2 Jul 2010 19:42:26 GMT",
"version": "v1"
},
{
"created": "Sun, 8 May 2011 08:41:59 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2012 20:03:15 GMT",
"version": "v3"
}
] | 2015-05-19 | [
[
"Bekaert",
"Xavier",
""
],
[
"Boulanger",
"Nicolas",
""
],
[
"Sundell",
"Per",
""
]
] | Aiming at non-experts, we explain the key mechanisms of higher-spin extensions of ordinary gravity. We first overview various no-go theorems for low-energy scattering of massless particles in flat spacetime. In doing so we dress a dictionary between the S-matrix and the Lagrangian approaches, exhibiting their relative advantages and weaknesses, after which we high-light potential loop-holes for non-trivial massless dynamics. We then review positive yes-go results for non-abelian cubic higher-derivative vertices in constantly curved backgrounds. Finally we outline how higher-spin symmetry can be reconciled with the equivalence principle in the presence of a cosmological constant leading to the Fradkin--Vasiliev vertices and Vasiliev's higher-spin gravity with its double perturbative expansion (in terms of numbers of fields and derivatives). |
hep-th/0610295 | Heng-Yu Chen HYC | Heng-Yu Chen, Nick Dorey and Keisuke Okamura | The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain | 17 pages, No figure | JHEP 0703:005,2007 | 10.1088/1126-6708/2007/03/005 | DAMTP-06-64, UT-06-17 | hep-th | null | In this paper we discuss the asymptotic spectrum of the spin chain
description of planar N=4 SUSY Yang-Mills. The states appearing in the spectrum
belong to irreducible representations of the unbroken supersymmetry SU(2|2) x
SU(2|2) with non-trivial extra central extensions. The elementary magnon
corresponds to the bifundamental representation while boundstates of Q magnons
form a certain short representation of dimension 16Q^{2}. Generalising the
Beisert's analysis of the Q=1 case, we derive the exact dispersion relation for
these states by purely group theoretic means.
| [
{
"created": "Fri, 27 Oct 2006 15:38:59 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Chen",
"Heng-Yu",
""
],
[
"Dorey",
"Nick",
""
],
[
"Okamura",
"Keisuke",
""
]
] | In this paper we discuss the asymptotic spectrum of the spin chain description of planar N=4 SUSY Yang-Mills. The states appearing in the spectrum belong to irreducible representations of the unbroken supersymmetry SU(2|2) x SU(2|2) with non-trivial extra central extensions. The elementary magnon corresponds to the bifundamental representation while boundstates of Q magnons form a certain short representation of dimension 16Q^{2}. Generalising the Beisert's analysis of the Q=1 case, we derive the exact dispersion relation for these states by purely group theoretic means. |
2207.10094 | Thomas Waddleton | Ibrahima Bah, Federico Bonetti, Emily Nardoni, Thomas Waddleton | Aspects of Irregular Punctures via Holography | 50 pages plus appendices, 11 figures | null | 10.1007/JHEP11(2022)131 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new families of $AdS_5$ solutions in M-theory preserving 4d
${\mathcal N = 2}$ supersymmetry. We perform a systematic analysis of
holographic observables for these solutions, providing evidence for an
interpretation in terms of 4d superconformal field theories (SCFTs) of
Argyres-Douglas type, realized in class $\mathcal S$ via a sphere with one
irregular, and one regular puncture. The gravity solutions exhibit internal
M5-brane sources that correspond to the irregular puncture. For a family of
solutions, we identify explicitly the class $\mathcal S$ puncture data and
perform a detailed match, including Higgs branch operators. For other families
we comment on proposed field theory duals, based on irregular punctures labeled
by nested Young tableaux.
| [
{
"created": "Wed, 20 Jul 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2022 22:40:21 GMT",
"version": "v2"
}
] | 2022-12-14 | [
[
"Bah",
"Ibrahima",
""
],
[
"Bonetti",
"Federico",
""
],
[
"Nardoni",
"Emily",
""
],
[
"Waddleton",
"Thomas",
""
]
] | We present new families of $AdS_5$ solutions in M-theory preserving 4d ${\mathcal N = 2}$ supersymmetry. We perform a systematic analysis of holographic observables for these solutions, providing evidence for an interpretation in terms of 4d superconformal field theories (SCFTs) of Argyres-Douglas type, realized in class $\mathcal S$ via a sphere with one irregular, and one regular puncture. The gravity solutions exhibit internal M5-brane sources that correspond to the irregular puncture. For a family of solutions, we identify explicitly the class $\mathcal S$ puncture data and perform a detailed match, including Higgs branch operators. For other families we comment on proposed field theory duals, based on irregular punctures labeled by nested Young tableaux. |
0802.1862 | Stefan Vandoren | Stefan Vandoren and Peter van Nieuwenhuizen | Lectures on instantons | 118 pages, 11 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a self-contained set of lecture notes on instantons in (super)
Yang-Mills theory in four dimensions and in quantum mechanics. First the basics
are derived from scratch: the regular and singular one-instanton solutions for
Yang-Mills theories with gauge groups SU(2) and SU(N), their bosonic and
fermionic zero modes, the path integral instanton measure, and supersymmetric
Yang-Mills theories in Euclidean space. Then we discuss applications: the
\theta-angle of QCD, the solution of the U(1) problem, the way Higgs fields
solve the large-instanton problem, and tunneling and phase transitions in
quantum mechanics and in nonabelian gauge theories. These lecture notes are an
extension of a review on Yang-Mills and D-instantons written in 2000 by both
authors and A.Belitsky
| [
{
"created": "Wed, 13 Feb 2008 16:36:39 GMT",
"version": "v1"
}
] | 2008-02-14 | [
[
"Vandoren",
"Stefan",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] | This is a self-contained set of lecture notes on instantons in (super) Yang-Mills theory in four dimensions and in quantum mechanics. First the basics are derived from scratch: the regular and singular one-instanton solutions for Yang-Mills theories with gauge groups SU(2) and SU(N), their bosonic and fermionic zero modes, the path integral instanton measure, and supersymmetric Yang-Mills theories in Euclidean space. Then we discuss applications: the \theta-angle of QCD, the solution of the U(1) problem, the way Higgs fields solve the large-instanton problem, and tunneling and phase transitions in quantum mechanics and in nonabelian gauge theories. These lecture notes are an extension of a review on Yang-Mills and D-instantons written in 2000 by both authors and A.Belitsky |
hep-th/0304224 | John McGreevy | John McGreevy and Herman Verlinde | Strings from Tachyons | 30 pages, 4 figures; v2: added references, improved discussion of
Liouville boundary states, v3: small corrections | JHEP 0312 (2003) 054 | 10.1088/1126-6708/2003/12/054 | PUPT-2083 | hep-th | null | We propose a new interpretation of the c=1 matrix model as the world-line
theory of N unstable D-particles, in which the hermitian matrix is provided by
the non- abelian open string tachyon. For D-particles in 1+1-d string theory,
we find a direct quantitative match between the closed string emission due to a
rolling tachyon and that due to a rolling eigenvalue in the matrix model. We
explain the origin of the double-scaling limit, and interpret it as an extreme
representative of a large equivalence class of dual theories. Finally, we
define a concrete decoupling limit of unstable D-particles in IIB string theory
that reduces to the c=1 matrix model, suggesting that 1+1-d string theory
represents the near-horizon limit of an ultra-dense gas of IIB D-particles.
| [
{
"created": "Mon, 28 Apr 2003 18:33:43 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 2003 21:11:37 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2003 22:21:14 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"McGreevy",
"John",
""
],
[
"Verlinde",
"Herman",
""
]
] | We propose a new interpretation of the c=1 matrix model as the world-line theory of N unstable D-particles, in which the hermitian matrix is provided by the non- abelian open string tachyon. For D-particles in 1+1-d string theory, we find a direct quantitative match between the closed string emission due to a rolling tachyon and that due to a rolling eigenvalue in the matrix model. We explain the origin of the double-scaling limit, and interpret it as an extreme representative of a large equivalence class of dual theories. Finally, we define a concrete decoupling limit of unstable D-particles in IIB string theory that reduces to the c=1 matrix model, suggesting that 1+1-d string theory represents the near-horizon limit of an ultra-dense gas of IIB D-particles. |
1505.00131 | Sinya Aoki | Sinya Aoki, Kengo Kikuchi, Tetsuya Onogi | Geometries from field theories | 9 pages, the title has been changed, and some contents have also been
modified. This version is accepted for a publication in PTEP | null | 10.1093/ptep/ptv131 | YITP-15-32, OU-HET-859 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a method to define a $d+1$ dimensional geometry from a $d$
dimensional quantum field theory in the $1/N$ expansion. We first construct a
$d+1$ dimensional field theory from the $d$ dimensional one via the gradient
flow equation, whose flow time $t$ represents the energy scale of the system
such that $t\rightarrow 0$ corresponds to the ultra-violet (UV) while
$t\rightarrow\infty$ to the infra-red (IR). We then define the induced metric
from $d+1$ dimensional field operators. We show that the metric defined in this
way becomes classical in the large $N$ limit, in a sense that quantum
fluctuations of the metric are suppressed as $1/N$ due to the large $N$
factorization property. As a concrete example, we apply our method to the O(N)
non-linear $\sigma$ model in two dimensions. We calculate the three dimensional
induced metric, which is shown to describe an AdS space in the massless limit.
We finally discuss several open issues in future studies.
| [
{
"created": "Fri, 1 May 2015 09:29:09 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2015 12:06:01 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Jun 2015 23:59:17 GMT",
"version": "v3"
},
{
"created": "Tue, 18 Aug 2015 10:43:13 GMT",
"version": "v4"
}
] | 2016-06-21 | [
[
"Aoki",
"Sinya",
""
],
[
"Kikuchi",
"Kengo",
""
],
[
"Onogi",
"Tetsuya",
""
]
] | We propose a method to define a $d+1$ dimensional geometry from a $d$ dimensional quantum field theory in the $1/N$ expansion. We first construct a $d+1$ dimensional field theory from the $d$ dimensional one via the gradient flow equation, whose flow time $t$ represents the energy scale of the system such that $t\rightarrow 0$ corresponds to the ultra-violet (UV) while $t\rightarrow\infty$ to the infra-red (IR). We then define the induced metric from $d+1$ dimensional field operators. We show that the metric defined in this way becomes classical in the large $N$ limit, in a sense that quantum fluctuations of the metric are suppressed as $1/N$ due to the large $N$ factorization property. As a concrete example, we apply our method to the O(N) non-linear $\sigma$ model in two dimensions. We calculate the three dimensional induced metric, which is shown to describe an AdS space in the massless limit. We finally discuss several open issues in future studies. |
hep-th/9307100 | Andy Shiekh | A.Y. Shiekh | Orthodox Gravity | 6 pages, LaTeX | Can.J.Phys.74:172,1996 | null | null | hep-th gr-qc | null | A scalar field theory is investigated within the context of orthodox quantum
gravity.
| [
{
"created": "Thu, 15 Jul 1993 13:14:08 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 1993 08:24:48 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Shiekh",
"A. Y.",
""
]
] | A scalar field theory is investigated within the context of orthodox quantum gravity. |
0901.0416 | Bobby Eka Gunara | Bobby E. Gunara, Freddy P. Zen, and Arianto | N=1 Supergravity BPS Domain Walls on K\"ahler-Ricci Soliton | 19 pages, no figures; v2 some typos and grammar corrected; accepted
in Rep. Math. Phys | Rept. Math. Phys. 67:409-427, 2011 | 10.1016/S0034-4877(11)60021-9 | null | hep-th math-ph math.DG math.DS math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper provides a study of some aspects of flat and curved BPS domain
walls together with their Lorentz invariant vacua of four dimensional chiral
N=1 supergravity. The scalar manifold can be viewed as a one-parameter family
of K\"ahler manifolds generated by a K\"ahler-Ricci flow equation.
Consequently, a vacuum manifold characterized by $(m,\lambda)$ where $m$ and
$\lambda$ are the dimension and the index of the manifold, respectively, does
deform with respect to the flow parameter related to the geometric soliton.
Moreover, one has to carry out the renormalization group analysis to verify the
existence of such a vacuum manifold in the ultraviolet or infrared regions. At
the end, we discuss a simple model with linear superpotential on U(n) symmetric
K\"ahler-Ricci orbifolds.
| [
{
"created": "Mon, 5 Jan 2009 04:53:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2011 14:57:53 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Gunara",
"Bobby E.",
""
],
[
"Zen",
"Freddy P.",
""
],
[
"Arianto",
"",
""
]
] | This paper provides a study of some aspects of flat and curved BPS domain walls together with their Lorentz invariant vacua of four dimensional chiral N=1 supergravity. The scalar manifold can be viewed as a one-parameter family of K\"ahler manifolds generated by a K\"ahler-Ricci flow equation. Consequently, a vacuum manifold characterized by $(m,\lambda)$ where $m$ and $\lambda$ are the dimension and the index of the manifold, respectively, does deform with respect to the flow parameter related to the geometric soliton. Moreover, one has to carry out the renormalization group analysis to verify the existence of such a vacuum manifold in the ultraviolet or infrared regions. At the end, we discuss a simple model with linear superpotential on U(n) symmetric K\"ahler-Ricci orbifolds. |
2002.01762 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Muneto Nitta | Linking number of vortices as baryon number | LaTeX: 19 pages, 10 figures; V2: typos corrected | Phys. Rev. D 101, 065011 (2020) | 10.1103/PhysRevD.101.065011 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the topological degree of a Skyrmion field is the same as the
Hopf charge of the field under the Hopf map and thus equals the linking number
of the preimages of two points on the 2-sphere under the Hopf map. We further
interpret two particular points on the 2-sphere as vortex zeros and the linking
of these zero lines follows from the latter theorem. Finally we conjecture that
the topological degree of the Skyrmion can be interpreted as the product of
winding numbers of vortices corresponding to the zero lines, summing over
clusters of vortices.
| [
{
"created": "Wed, 5 Feb 2020 12:44:14 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Mar 2020 05:35:31 GMT",
"version": "v2"
}
] | 2020-03-24 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] | We show that the topological degree of a Skyrmion field is the same as the Hopf charge of the field under the Hopf map and thus equals the linking number of the preimages of two points on the 2-sphere under the Hopf map. We further interpret two particular points on the 2-sphere as vortex zeros and the linking of these zero lines follows from the latter theorem. Finally we conjecture that the topological degree of the Skyrmion can be interpreted as the product of winding numbers of vortices corresponding to the zero lines, summing over clusters of vortices. |
2206.09985 | V. Parameswaran Nair | Dimitra Karabali, Antonina Maj, V.P. Nair | Gauge and Scalar Fields on $\mathbb{CP}^2$: A Gauge-invariant Analysis
II. The measure for gauge fields and a 4d WZW theory | 31 pages, minor changes, version to be published | null | 10.1103/PhysRevD.106.085013 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the volume of the gauge orbit space for gauge fields on
four-dimensional complex projective space. The analysis uses a parametrization
of gauge fields where gauge transformations act homogeneously on the fields,
facilitating a manifestly gauge-invariant analysis. The volume element contains
a four-dimensional Wess-Zumino-Witten (WZW) action for a hermitian
matrix-valued field. There is also a mass-like term for certain components of
the gauge field. We discuss how the mass term could be related to results from
lattice simulations as well as Schwinger-Dyson equations. We argue for a
kinematic regime where the Yang-Mills theory can be approximated by the 4d-WZW
theory. The result is suggestive of the instanton liquid picture of QCD.
Further it is also indicative of the mechanism for confinement being similar to
what happens in two dimensions.
| [
{
"created": "Mon, 20 Jun 2022 20:07:56 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2022 01:07:23 GMT",
"version": "v2"
}
] | 2022-11-18 | [
[
"Karabali",
"Dimitra",
""
],
[
"Maj",
"Antonina",
""
],
[
"Nair",
"V. P.",
""
]
] | We consider the volume of the gauge orbit space for gauge fields on four-dimensional complex projective space. The analysis uses a parametrization of gauge fields where gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant analysis. The volume element contains a four-dimensional Wess-Zumino-Witten (WZW) action for a hermitian matrix-valued field. There is also a mass-like term for certain components of the gauge field. We discuss how the mass term could be related to results from lattice simulations as well as Schwinger-Dyson equations. We argue for a kinematic regime where the Yang-Mills theory can be approximated by the 4d-WZW theory. The result is suggestive of the instanton liquid picture of QCD. Further it is also indicative of the mechanism for confinement being similar to what happens in two dimensions. |
hep-th/0206234 | Sergei Kuzenko | S.M. Kuzenko and I.N. McArthur (Western Australia U.) | On quantum deformation of conformal symmetry: Gauge dependence via field
redefinitions | 14 pages, latex, no figures; references and comments added, the final
version to appear in PLB | Phys.Lett. B544 (2002) 357-366 | 10.1016/S0370-2693(02)02504-2 | null | hep-th | null | The effective action in gauge theories is known to depend on a choice of
gauge fixing conditions. This dependence is such that any change of gauge
conditions is equivalent to a field redefinition in the effective action. In
this sense, the quantum deformation of conformal symmetry in the N = 4 super
Yang-Mills theory, which was computed in 't Hooft gauge in hep-th/9808039 and
hep-th/0203236, is gauge dependent. The deformation is an intrinsic property of
the theory in that it cannot be eliminated by a local choice of gauge (although
we sketch a field redefinition induced by a nonlocal gauge which, on the
Coulomb branch of the theory, converts the one-loop quantum-corrected conformal
transformations to the classical ones). We explicitly compute the deformed
conformal symmetry in R_\xi gauge. The conformal transformation law of the
gauge field turns out to be \xi-independent. We construct the scalar field
redefinition which relates the 't Hooft and R_\xi gauge results. A unique
feature of 't Hooft gauge is that it makes it possible to consistently truncate
the one-loop conformal deformation to the terms of first order in derivatives
of the fields such that the corresponding transformations form a field
realization of the conformal algebra.
| [
{
"created": "Wed, 26 Jun 2002 07:20:40 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2002 08:02:57 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Aug 2002 10:13:24 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Kuzenko",
"S. M.",
"",
"Western Australia U."
],
[
"McArthur",
"I. N.",
"",
"Western Australia U."
]
] | The effective action in gauge theories is known to depend on a choice of gauge fixing conditions. This dependence is such that any change of gauge conditions is equivalent to a field redefinition in the effective action. In this sense, the quantum deformation of conformal symmetry in the N = 4 super Yang-Mills theory, which was computed in 't Hooft gauge in hep-th/9808039 and hep-th/0203236, is gauge dependent. The deformation is an intrinsic property of the theory in that it cannot be eliminated by a local choice of gauge (although we sketch a field redefinition induced by a nonlocal gauge which, on the Coulomb branch of the theory, converts the one-loop quantum-corrected conformal transformations to the classical ones). We explicitly compute the deformed conformal symmetry in R_\xi gauge. The conformal transformation law of the gauge field turns out to be \xi-independent. We construct the scalar field redefinition which relates the 't Hooft and R_\xi gauge results. A unique feature of 't Hooft gauge is that it makes it possible to consistently truncate the one-loop conformal deformation to the terms of first order in derivatives of the fields such that the corresponding transformations form a field realization of the conformal algebra. |
hep-th/0012065 | Mark van Raamsdonk | Moshe Rozali (Rutgers), Mark Van Raamsdonk (Stanford) | Gauge Invariant Correlators in Non-Commutative Gauge Theory | 24 pages, LaTeX, 6 figures | Nucl.Phys. B608 (2001) 103-124 | 10.1016/S0550-3213(01)00257-7 | SU ITP 00-32, RU-NHETC-2000-46 | hep-th | null | Using perturbation theory, we explore the universal high momentum behavior of
correlation functions of gauge invariant operators in planar noncommutative
gauge theories. We find that the correlation functions are strongly enhanced
when pairs of momenta become antiparallel. In particular, there is a transition
from the previously noted exponential suppression of correlation functions at
high momenta to a more field theoretic behavior when the momenta of pairs of
operators antialign within a critical angle. Some of our calculations can be
extrapolated to strong coupling, and in particular we are able to reproduce
precisely the supergravity prediction for the behavior of two point functions,
including the coupling dependence.
| [
{
"created": "Fri, 8 Dec 2000 23:17:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Rozali",
"Moshe",
"",
"Rutgers"
],
[
"Van Raamsdonk",
"Mark",
"",
"Stanford"
]
] | Using perturbation theory, we explore the universal high momentum behavior of correlation functions of gauge invariant operators in planar noncommutative gauge theories. We find that the correlation functions are strongly enhanced when pairs of momenta become antiparallel. In particular, there is a transition from the previously noted exponential suppression of correlation functions at high momenta to a more field theoretic behavior when the momenta of pairs of operators antialign within a critical angle. Some of our calculations can be extrapolated to strong coupling, and in particular we are able to reproduce precisely the supergravity prediction for the behavior of two point functions, including the coupling dependence. |
1002.0336 | Matthias Wapler | Matthias C. Wapler | Massive Quantum Liquids from Holographic Angel's Trumpets | 18+1 pages, 6 figures; replaced fig. 6 and comments in sec. 5.2;
minor explanations added and typos fixed, final version published in JHEP
(modulo fig. 3); factor of \sqrt{\lambda} and corresponding comments fixed | JHEP 1005:019,2010 | 10.1007/JHEP05(2010)019 | null | hep-th cond-mat.quant-gas cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the small-temperature regime in the deconfined phase of massive
fundamental matter at finite baryon number density coupled to the 3+1
dimensional N=4 SYM theory. In this setting, we can demonstrate a new type of
non-trivial temperature-independent scaling solutions for the probe brane
embeddings. Focusing mostly on matter supported in 2+1 dimensions, the
thermodynamics indicate that there is a quantum liquid with interesting
density-dependent low-temperature physics. We also comment about 3+1 and 1+1
dimensional systems, where we further find for example a new thermodynamic
instability.
| [
{
"created": "Tue, 2 Feb 2010 18:05:00 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Feb 2010 15:17:20 GMT",
"version": "v2"
},
{
"created": "Tue, 11 May 2010 02:40:55 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Dec 2010 18:34:11 GMT",
"version": "v4"
}
] | 2011-04-12 | [
[
"Wapler",
"Matthias C.",
""
]
] | We explore the small-temperature regime in the deconfined phase of massive fundamental matter at finite baryon number density coupled to the 3+1 dimensional N=4 SYM theory. In this setting, we can demonstrate a new type of non-trivial temperature-independent scaling solutions for the probe brane embeddings. Focusing mostly on matter supported in 2+1 dimensions, the thermodynamics indicate that there is a quantum liquid with interesting density-dependent low-temperature physics. We also comment about 3+1 and 1+1 dimensional systems, where we further find for example a new thermodynamic instability. |
hep-th/0309022 | Yannick Meurice | B. Kessler, L. Li and Y. Meurice | New Optimization Methods for Converging Perturbative Series with a Field
Cutoff | 10 pages, 16 figures, uses revtex; minor typos corrected, refs. added | Phys.Rev. D69 (2004) 045014 | 10.1103/PhysRevD.69.045014 | null | hep-th cond-mat.stat-mech hep-lat hep-ph quant-ph | null | We take advantage of the fact that in lambda phi ^4 problems a large field
cutoff phi_max makes perturbative series converge toward values exponentially
close to the exact values, to make optimal choices of phi_max. For perturbative
series terminated at even order, it is in principle possible to adjust phi_max
in order to obtain the exact result. For perturbative series terminated at odd
order, the error can only be minimized. It is however possible to introduce a
mass shift in order to obtain the exact result. We discuss weak and strong
coupling methods to determine the unknown parameters. The numerical
calculations in this article have been performed with a simple integral with
one variable. We give arguments indicating that the qualitative features
observed should extend to quantum mechanics and quantum field theory. We found
that optimization at even order is more efficient that at odd order. We compare
our methods with the linear delta-expansion (LDE) (combined with the principle
of minimal sensitivity) which provides an upper envelope of for the accuracy
curves of various Pade and Pade-Borel approximants. Our optimization method
performs better than the LDE at strong and intermediate coupling, but not at
weak coupling where it appears less robust and subject to further improvements.
We also show that it is possible to fix the arbitrary parameter appearing in
the LDE using the strong coupling expansion, in order to get accuracies
comparable to ours.
| [
{
"created": "Tue, 2 Sep 2003 05:34:25 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Sep 2003 00:08:50 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kessler",
"B.",
""
],
[
"Li",
"L.",
""
],
[
"Meurice",
"Y.",
""
]
] | We take advantage of the fact that in lambda phi ^4 problems a large field cutoff phi_max makes perturbative series converge toward values exponentially close to the exact values, to make optimal choices of phi_max. For perturbative series terminated at even order, it is in principle possible to adjust phi_max in order to obtain the exact result. For perturbative series terminated at odd order, the error can only be minimized. It is however possible to introduce a mass shift in order to obtain the exact result. We discuss weak and strong coupling methods to determine the unknown parameters. The numerical calculations in this article have been performed with a simple integral with one variable. We give arguments indicating that the qualitative features observed should extend to quantum mechanics and quantum field theory. We found that optimization at even order is more efficient that at odd order. We compare our methods with the linear delta-expansion (LDE) (combined with the principle of minimal sensitivity) which provides an upper envelope of for the accuracy curves of various Pade and Pade-Borel approximants. Our optimization method performs better than the LDE at strong and intermediate coupling, but not at weak coupling where it appears less robust and subject to further improvements. We also show that it is possible to fix the arbitrary parameter appearing in the LDE using the strong coupling expansion, in order to get accuracies comparable to ours. |
hep-th/9706060 | Alexandra De Castro Cuevas | A. De Castro and A. Restuccia | Topologically Massive Models from Higgs Mechanism | 12 pages, latex, no figures, typos corrected | Talk given at "I Congreso Venezolano de Fisica, ULA Merida, 1997" | null | null | hep-th | null | A Higgs mechanism for Abelian theories over non-trivial background flat
connections is proposed. It is found that the mass generated for the spin 1
excitation is the same as the one obtained from the standard Higgs mechanism
over trivial backgrounds, however, the dynamical structure of the action for
the Higgs scalar is completely different from the usual approach. There is a
topological contribution to the mass term of the Higgs field. After functional
integration over all backgrounds, it is shown that the action for the massive
spin 1 excitation is dual to the Topologically Massive Models in any dimension.
| [
{
"created": "Tue, 10 Jun 1997 03:39:35 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2004 14:37:39 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"De Castro",
"A.",
""
],
[
"Restuccia",
"A.",
""
]
] | A Higgs mechanism for Abelian theories over non-trivial background flat connections is proposed. It is found that the mass generated for the spin 1 excitation is the same as the one obtained from the standard Higgs mechanism over trivial backgrounds, however, the dynamical structure of the action for the Higgs scalar is completely different from the usual approach. There is a topological contribution to the mass term of the Higgs field. After functional integration over all backgrounds, it is shown that the action for the massive spin 1 excitation is dual to the Topologically Massive Models in any dimension. |
0804.3910 | Lee Peng Teo | S.C. Lim and L.P. Teo | Topological symmetry breaking of self--interacting fractional
Klein--Gordon field on toroidal spacetime | 32 pages | J.Phys.A41:145403,2008 | 10.1088/1751-8113/41/14/145403 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quartic self--interacting fractional Klein--Gordon scalar massive and
massless field theories on toroidal spacetime are studied. The effective
potential and topologically generated mass are determined using zeta function
regularization technique. Renormalization of these quantities are derived.
Conditions for symmetry breaking are obtained analytically. Simulations are
carried out to illustrate regions or values of compactified dimensions where
symmetry breaking mechanisms appear.
| [
{
"created": "Thu, 24 Apr 2008 12:02:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lim",
"S. C.",
""
],
[
"Teo",
"L. P.",
""
]
] | Quartic self--interacting fractional Klein--Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate regions or values of compactified dimensions where symmetry breaking mechanisms appear. |
2308.15252 | Daniele Dorigoni Dr | Daniele Dorigoni and Paolo Vallarino | Exceptionally simple integrated correlators in $\mathcal{N}=4$
supersymmetric Yang-Mills theory | 41 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric localisation has led to several modern developments in the
study of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills
(SYM) theory. In particular, exact results have been derived for certain
integrated four-point functions of superconformal primary operators in the
stress tensor multiplet valid for all classical gauge groups, $SU(N)$, $SO(N)$,
and $USp(2N)$, and for all values of the complex coupling,
$\tau=\theta/(2\pi)+4\pi i/g^2_{_{YM}}$. In this work we extend this analysis
and provide a unified two-dimensional lattice sum representation for all simple
gauge groups, in particular for the exceptional series $E_r$ (with $r=6,7,8$),
$F_4$ and $G_2$. These expressions are manifestly covariant under
Goddard-Nuyts-Olive duality which for $F_4$ and $G_2$ is given by particular
Fuchsian groups. We show that the perturbation expansion of these integrated
correlators is universal in the sense that it can be written as a single
function of three parameters, called Vogel parameters, and a suitable 't
Hooft-like coupling. To obtain the perturbative expansion for the integrated
correlator with a given gauge group we simply need substituting in this
universal expression specific values for the Vogel parameters. At the
non-perturbative level we conjecture a formula for the one-instanton Nekrasov
partition function with simple gauge group and general $\Omega$-deformation
background. We check that our expression reduces in various limits to known
results and that it produces, via supersymmetric localisation, the same
one-instanton contribution to the integrated correlator as the one derived from
the lattice sum. Finally, we consider the action of the hyperbolic Laplace
operator in $\tau$ on the integrated correlators with exceptional gauge groups
and derive inhomogeneous Laplace equations very similar to the ones previously
obtained for classical gauge groups.
| [
{
"created": "Tue, 29 Aug 2023 12:18:29 GMT",
"version": "v1"
}
] | 2023-08-30 | [
[
"Dorigoni",
"Daniele",
""
],
[
"Vallarino",
"Paolo",
""
]
] | Supersymmetric localisation has led to several modern developments in the study of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated four-point functions of superconformal primary operators in the stress tensor multiplet valid for all classical gauge groups, $SU(N)$, $SO(N)$, and $USp(2N)$, and for all values of the complex coupling, $\tau=\theta/(2\pi)+4\pi i/g^2_{_{YM}}$. In this work we extend this analysis and provide a unified two-dimensional lattice sum representation for all simple gauge groups, in particular for the exceptional series $E_r$ (with $r=6,7,8$), $F_4$ and $G_2$. These expressions are manifestly covariant under Goddard-Nuyts-Olive duality which for $F_4$ and $G_2$ is given by particular Fuchsian groups. We show that the perturbation expansion of these integrated correlators is universal in the sense that it can be written as a single function of three parameters, called Vogel parameters, and a suitable 't Hooft-like coupling. To obtain the perturbative expansion for the integrated correlator with a given gauge group we simply need substituting in this universal expression specific values for the Vogel parameters. At the non-perturbative level we conjecture a formula for the one-instanton Nekrasov partition function with simple gauge group and general $\Omega$-deformation background. We check that our expression reduces in various limits to known results and that it produces, via supersymmetric localisation, the same one-instanton contribution to the integrated correlator as the one derived from the lattice sum. Finally, we consider the action of the hyperbolic Laplace operator in $\tau$ on the integrated correlators with exceptional gauge groups and derive inhomogeneous Laplace equations very similar to the ones previously obtained for classical gauge groups. |
hep-th/0605138 | Xu Weishui W. Xu | Yi-hong Gao, Weishui Xu and Ding-fang Zeng | NGN, QCD_2 and chiral phase transition from string theory | 30 pages, 3 figures, minor changes | JHEP0608:018,2006 | 10.1088/1126-6708/2006/08/018 | null | hep-th | null | We construct a D2-D8-$\bar{D8}$ configuration in string theory, it can be
described at low energy by two dimensional field theory. In the weak coupling
region, the low energy theory is a nonlocal generalization of Gross-Neveu(GN)
model which dynamically breaks the chiral flavor symmetry $U(N_f)_L \times
U(N_f)_R$ at large $N_c$ and finite $N_f$. However, in the strong coupling
region, we can use the SUGRA/Born-Infeld approximation to describe the low
energy dynamics of the system. Also, we analyze the low energy dynamics about
the configuration of wrapping the one direction of D2 brane on a circle with
anti-periodic boundary condition of fermions. The fermions and scalars on D2
branes get mass and decouple from the low energy theory. The IR dynamics is
described by the $QCD_2$ at weak coupling. In the opposite region, the dynamics
has a holographic dual description. And we have discussed the phase transition
of chiral symmetry breaking at finite temperature. Finally, after performing
T-duality, this configuration is related to some other brane configurations.
| [
{
"created": "Mon, 15 May 2006 05:44:53 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Jun 2006 04:32:42 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Aug 2006 15:30:17 GMT",
"version": "v3"
},
{
"created": "Fri, 1 Sep 2006 04:05:06 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Gao",
"Yi-hong",
""
],
[
"Xu",
"Weishui",
""
],
[
"Zeng",
"Ding-fang",
""
]
] | We construct a D2-D8-$\bar{D8}$ configuration in string theory, it can be described at low energy by two dimensional field theory. In the weak coupling region, the low energy theory is a nonlocal generalization of Gross-Neveu(GN) model which dynamically breaks the chiral flavor symmetry $U(N_f)_L \times U(N_f)_R$ at large $N_c$ and finite $N_f$. However, in the strong coupling region, we can use the SUGRA/Born-Infeld approximation to describe the low energy dynamics of the system. Also, we analyze the low energy dynamics about the configuration of wrapping the one direction of D2 brane on a circle with anti-periodic boundary condition of fermions. The fermions and scalars on D2 branes get mass and decouple from the low energy theory. The IR dynamics is described by the $QCD_2$ at weak coupling. In the opposite region, the dynamics has a holographic dual description. And we have discussed the phase transition of chiral symmetry breaking at finite temperature. Finally, after performing T-duality, this configuration is related to some other brane configurations. |
1712.09843 | Zhen-Hua Zhao | Zhen-Hua Zhao and Qun-Ying Xie | Localization of $U(1)$ gauge vector field on flat branes with
five-dimension (asymptotic) AdS$_{5}$ spacetime | Added acknowledgments to the refree. Appeared on JHEP | Journal of High Energy Physics,volume 2018, number 5, page 72 | 10.1007/JHEP05(2018)072 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to localize $U(1)$ gauge vector field on Randall-Sundrum-like
braneworld model with infinite extra dimension, we propose a new kind of
non-minimal coupling between the $U(1)$ gauge field and the gravity. We propose
three kinds of coupling methods and they all support the localization of zero
mode. In addition, one of them can support the localization of massive modes.
Moreover, the massive tachyonic modes can be excluded. And our method can be
used not only in the thin braneword models but also in the thick ones.
| [
{
"created": "Thu, 28 Dec 2017 12:38:48 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Apr 2018 00:00:39 GMT",
"version": "v2"
},
{
"created": "Tue, 15 May 2018 09:35:41 GMT",
"version": "v3"
}
] | 2018-05-16 | [
[
"Zhao",
"Zhen-Hua",
""
],
[
"Xie",
"Qun-Ying",
""
]
] | In order to localize $U(1)$ gauge vector field on Randall-Sundrum-like braneworld model with infinite extra dimension, we propose a new kind of non-minimal coupling between the $U(1)$ gauge field and the gravity. We propose three kinds of coupling methods and they all support the localization of zero mode. In addition, one of them can support the localization of massive modes. Moreover, the massive tachyonic modes can be excluded. And our method can be used not only in the thin braneword models but also in the thick ones. |
1205.1674 | Koichi Nagasaki | Koichi Nagasaki, Satoshi Yamaguchi | Expectation values of chiral primary operators in holographic interface
CFT | 17pages, no figure | null | 10.1103/PhysRevD.86.086004 | OU-HET 749 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the expectation values of chiral primary operators in the
presence of the interface in the 4 dimensional N=4 super Yang-Mills theory.
This interface is derived from D3-D5 system in type IIB string theory. These
expectation values are computed classically in the gauge theory side. On the
other hand, this interface is a holographic dual to type IIB string theory on
AdS_5 x S^5 spacetime with a probe D5-brane. The expectation values are
computed by GKPW prescription in the gravity side. We find non-trivial
agreement of these two results: the gauge theory side and the gravity side.
| [
{
"created": "Tue, 8 May 2012 12:33:40 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2012 09:27:59 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Nagasaki",
"Koichi",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] | We consider the expectation values of chiral primary operators in the presence of the interface in the 4 dimensional N=4 super Yang-Mills theory. This interface is derived from D3-D5 system in type IIB string theory. These expectation values are computed classically in the gauge theory side. On the other hand, this interface is a holographic dual to type IIB string theory on AdS_5 x S^5 spacetime with a probe D5-brane. The expectation values are computed by GKPW prescription in the gravity side. We find non-trivial agreement of these two results: the gauge theory side and the gravity side. |
1608.00145 | Pak Hang Chris Lau | Arpan Bhattacharyya, Ling-Yan Hung, P.H.C. Lau and Si-Nong Liu | Inspecting non-perturbative contributions to the Entanglement Entropy
via wavefunctions | 32 pages, 4 figures, current version accepted by Entropy | Entropy 2017, 19(12), 671 | 10.3390/e19120671 | YITP-16-93 | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we would like to systematically explore the implications of
non-perturbative effects on entanglement in a many body system. Instead of
pursuing the usual path-integral method in a singular space, we attempt to
study the wavefunctions in detail. We begin with a toy model of multiple
particles whose interaction potential admits multiple minima. We study the
entanglement of the true ground state after taking the tunnelling effects into
account and find some simple patterns. Notably, in the case of multiple
particle interactions, entanglement entropy generically decreases with
increasing number of minima. The knowledge of the subsystem actually increases
with the number of minima. The reduced density matrix can also be seen to have
close connections with graph spectra. In a more careful study of the two-well
tunnelling system, we also extract the exponentially suppressed tail
contribution, the analogues of instantons. To understand the effects of
multiple minima in a field theory, it inspires us to inspect wavefunctions in a
toy model of bosonic field describing quasi-particles of two different
condensates related by Bogoliubov transformations. We find that the area law is
naturally preserved. This is probably a useful set of perspectives that promise
wider applications.
| [
{
"created": "Sat, 30 Jul 2016 16:50:44 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2017 03:52:03 GMT",
"version": "v2"
}
] | 2017-12-12 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Hung",
"Ling-Yan",
""
],
[
"Lau",
"P. H. C.",
""
],
[
"Liu",
"Si-Nong",
""
]
] | In this paper, we would like to systematically explore the implications of non-perturbative effects on entanglement in a many body system. Instead of pursuing the usual path-integral method in a singular space, we attempt to study the wavefunctions in detail. We begin with a toy model of multiple particles whose interaction potential admits multiple minima. We study the entanglement of the true ground state after taking the tunnelling effects into account and find some simple patterns. Notably, in the case of multiple particle interactions, entanglement entropy generically decreases with increasing number of minima. The knowledge of the subsystem actually increases with the number of minima. The reduced density matrix can also be seen to have close connections with graph spectra. In a more careful study of the two-well tunnelling system, we also extract the exponentially suppressed tail contribution, the analogues of instantons. To understand the effects of multiple minima in a field theory, it inspires us to inspect wavefunctions in a toy model of bosonic field describing quasi-particles of two different condensates related by Bogoliubov transformations. We find that the area law is naturally preserved. This is probably a useful set of perspectives that promise wider applications. |
2003.05021 | Hiroaki Matsunaga | Toru Masuda, Hiroaki Matsunaga | Perturbative path-integral of string field and the $A_{\infty }$
structure of the BV master equation | (v3) 52 pages, new section and subsections added, text improved and
corrected, published version; (v2) 41 pages, appendix added | PTEP 2022 (2022) 11, 113B04 | 10.1093/ptep/ptac132 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The perturbative path-integral gives a morphism of the (quantum) $A_{\infty
}$ structure intrinsic to each quantum field theory, which we show explicitly
on the basis of the homological perturbation. As is known, in the BV formalism,
any effective action also solves the BV master equation, which implies that the
path-integral can be understood as a morphism of the BV differential. Since
each solution of the BV master equation is in one-to-one correspondence with a
(quantum) $A_{\infty }$ structure, the path-integral preserves this intrinsic
$A_{\infty }$ structure of quantum field theory, where $A_{\infty }$ reduces to
$L_{\infty }$ whenever multiplications of space-time fields are graded
commutative. We apply these ideas to string field theory and (re-)derive some
quantities based on the perturbative path-integral, such as effective theories
with finite $\alpha ^{\prime }$, reduction of gauge and unphysical degrees,
$S$-matrix and gauge invariant observables.
| [
{
"created": "Tue, 10 Mar 2020 22:22:35 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Sep 2020 20:25:25 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Dec 2022 09:28:49 GMT",
"version": "v3"
}
] | 2022-12-29 | [
[
"Masuda",
"Toru",
""
],
[
"Matsunaga",
"Hiroaki",
""
]
] | The perturbative path-integral gives a morphism of the (quantum) $A_{\infty }$ structure intrinsic to each quantum field theory, which we show explicitly on the basis of the homological perturbation. As is known, in the BV formalism, any effective action also solves the BV master equation, which implies that the path-integral can be understood as a morphism of the BV differential. Since each solution of the BV master equation is in one-to-one correspondence with a (quantum) $A_{\infty }$ structure, the path-integral preserves this intrinsic $A_{\infty }$ structure of quantum field theory, where $A_{\infty }$ reduces to $L_{\infty }$ whenever multiplications of space-time fields are graded commutative. We apply these ideas to string field theory and (re-)derive some quantities based on the perturbative path-integral, such as effective theories with finite $\alpha ^{\prime }$, reduction of gauge and unphysical degrees, $S$-matrix and gauge invariant observables. |
1407.4721 | Johannes Bl\"umlein | Jakob Ablinger, Johannes Bl\"umlein, Clemens G. Raab, and Carsten
Schneider | Nested (inverse) binomial sums and new iterated integrals for massive
Feynman diagrams | 13 pages LATEX, one style file, Proceedings of Loops and Legs in
Quantum Field Theory -- LL2014,27 April 2014 -- 02 May 2014 Weimar, Germany | null | null | DESY 14--131, DO-TH 14/16, SFB/CPP-14-55, LPN14-093 | hep-th cs.SC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nested sums containing binomial coefficients occur in the computation of
massive operator matrix elements. Their associated iterated integrals lead to
alphabets including radicals, for which we determined a suitable basis. We
discuss algorithms for converting between sum and integral representations,
mainly relying on the Mellin transform. To aid the conversion we worked out
dedicated rewrite rules, based on which also some general patterns emerging in
the process can be obtained.
| [
{
"created": "Thu, 17 Jul 2014 16:11:42 GMT",
"version": "v1"
}
] | 2014-07-18 | [
[
"Ablinger",
"Jakob",
""
],
[
"Blümlein",
"Johannes",
""
],
[
"Raab",
"Clemens G.",
""
],
[
"Schneider",
"Carsten",
""
]
] | Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals, for which we determined a suitable basis. We discuss algorithms for converting between sum and integral representations, mainly relying on the Mellin transform. To aid the conversion we worked out dedicated rewrite rules, based on which also some general patterns emerging in the process can be obtained. |
hep-th/9510195 | Walter Troost | Friedemann Brandt, Walter Troost and Antoine Van Proeyen | Background charges and consistent continuous deformations of $2d$
gravity theories | 9 pages, LaTeX. Changes in the discussion on the Liouville field | Phys.Lett. B374 (1996) 31-36 | 10.1016/0370-2693(96)00177-3 | KUL-TF-95/33 | hep-th | null | We construct and discuss all background charges and continuous consistent
deformations of standard $2d$ gravity theories with scalar matter fields. It
turns out that the background charges and those deformations which change
nontrivially both the form of the action and of its gauge symmetries are
closely linked and exist only if the target space has at least one special
(`covariantly constant') Killing vector which must be a null vector in the case
of the deformations. The deformed actions provide interesting novel $2d$
gravity models. We argue that some of them lead to non-critical string
theories.
| [
{
"created": "Thu, 26 Oct 1995 18:03:48 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 1996 08:18:44 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Brandt",
"Friedemann",
""
],
[
"Troost",
"Walter",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We construct and discuss all background charges and continuous consistent deformations of standard $2d$ gravity theories with scalar matter fields. It turns out that the background charges and those deformations which change nontrivially both the form of the action and of its gauge symmetries are closely linked and exist only if the target space has at least one special (`covariantly constant') Killing vector which must be a null vector in the case of the deformations. The deformed actions provide interesting novel $2d$ gravity models. We argue that some of them lead to non-critical string theories. |
2207.12436 | Kenneth Higginbotham | Oliver DeWolfe and Kenneth Higginbotham | Entanglement entropy and non-local duality: quantum channels and quantum
algebras | 33 pages, 2 figures. v2: Improved discussion of subalgebras. v3:
Version submitted to Annals of Physics | null | 10.1016/j.aop.2022.169196 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the transformation of entanglement entropy under dualities,
using the Kramers-Wannier duality present in the transverse field Ising model
as our example. Entanglement entropy between local spin degrees of freedom is
not generically preserved by the duality; instead, entangled states may be
mapped to states with no local entanglement. To understand the fate of this
entanglement, we consider two quantitative descriptions of degrees of freedom
and their transformation under duality. The first involves Kraus operators
implementing the partial trace as a quantum channel, while the second utilizes
the algebraic approach to quantum mechanics, where degrees of freedom are
encoded in subalgebras. Using both approaches, we show that entanglement of
local degrees of freedom is not lost; instead it is transferred to non-local
degrees of freedom by the duality transformation.
| [
{
"created": "Mon, 25 Jul 2022 18:00:19 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2022 18:57:09 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2022 16:59:27 GMT",
"version": "v3"
}
] | 2022-12-28 | [
[
"DeWolfe",
"Oliver",
""
],
[
"Higginbotham",
"Kenneth",
""
]
] | We investigate the transformation of entanglement entropy under dualities, using the Kramers-Wannier duality present in the transverse field Ising model as our example. Entanglement entropy between local spin degrees of freedom is not generically preserved by the duality; instead, entangled states may be mapped to states with no local entanglement. To understand the fate of this entanglement, we consider two quantitative descriptions of degrees of freedom and their transformation under duality. The first involves Kraus operators implementing the partial trace as a quantum channel, while the second utilizes the algebraic approach to quantum mechanics, where degrees of freedom are encoded in subalgebras. Using both approaches, we show that entanglement of local degrees of freedom is not lost; instead it is transferred to non-local degrees of freedom by the duality transformation. |
hep-th/9702142 | Cai Rong-gen | Rong-Gen Cai (ASITP, Beijing) | Effective spatial dimension of extremal non-dilatonic black p-branes and
the description of entropy on the world volume | 4 pages, RevTex, no figures, to appear in Phys. Rev. Lett | Phys.Rev.Lett. 78 (1997) 2531-2534 | 10.1103/PhysRevLett.78.2531 | null | hep-th | null | By investigating the critical behavior appearing at the extremal limit of the
non-dilatonic, black p-branes in (d+p) dimensions, we find that some critical
exponents related to the critical point obey the scaling laws. From the scaling
laws we obtain that the effective spatial dimension of the non-dilatonic black
holes and black strings is one, and is p for the non-dilatonic black p-branes.
For the dilatonic black holes and black p-branes, the effective dimension will
depend on the parameters in theories. Thus, we give an interpretation why the
Bekenstein-Hawking entropy may be given a simple world volume interpretation
only for the non-dilatonic black p-branes.
| [
{
"created": "Wed, 19 Feb 1997 07:40:01 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Cai",
"Rong-Gen",
"",
"ASITP, Beijing"
]
] | By investigating the critical behavior appearing at the extremal limit of the non-dilatonic, black p-branes in (d+p) dimensions, we find that some critical exponents related to the critical point obey the scaling laws. From the scaling laws we obtain that the effective spatial dimension of the non-dilatonic black holes and black strings is one, and is p for the non-dilatonic black p-branes. For the dilatonic black holes and black p-branes, the effective dimension will depend on the parameters in theories. Thus, we give an interpretation why the Bekenstein-Hawking entropy may be given a simple world volume interpretation only for the non-dilatonic black p-branes. |
hep-th/0403143 | Friedemann Brandt | Friedemann Brandt | Seiberg-Witten maps and anomalies in noncommutative Yang-Mills theories | 9 pages, talk at 9th Adriatic Meeting, Dubrovnik, Croatia, 4-14 Sept.
2003 | SpringerProc.Phys.98:189-196,2005 | 10.1007/3-540-26798-0_18 | null | hep-th | null | A BRST-cohomological analysis of Seiberg-Witten maps and results on gauge
anomalies in noncommutative Yang-Mills theories with general gauge groups are
reviewed.
| [
{
"created": "Sat, 13 Mar 2004 11:19:12 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Brandt",
"Friedemann",
""
]
] | A BRST-cohomological analysis of Seiberg-Witten maps and results on gauge anomalies in noncommutative Yang-Mills theories with general gauge groups are reviewed. |
2011.01304 | K. Shirish | K.Shirish | S-duality and Chaos | 8 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Renormalization group in field theories happens to resemble dynamical
systems in many ways. In this paper, we discuss the unexpected connection
between chaos and duality in field theories. In a sense, that various dual
field theories can emerge at the end of chaotic RG trajectories, and hence
strong-weak duality in quantum field theory is a direct result of the chaotic
flow of the renormalization group. This suggests that various properties of
field and string theories could come into existence due to chaotic RG flow. We
also conjecture the existence of dual quantum field theories in the half strip
of Riemann-Zeta function.
| [
{
"created": "Mon, 2 Nov 2020 20:46:36 GMT",
"version": "v1"
}
] | 2020-11-04 | [
[
"Shirish",
"K.",
""
]
] | The Renormalization group in field theories happens to resemble dynamical systems in many ways. In this paper, we discuss the unexpected connection between chaos and duality in field theories. In a sense, that various dual field theories can emerge at the end of chaotic RG trajectories, and hence strong-weak duality in quantum field theory is a direct result of the chaotic flow of the renormalization group. This suggests that various properties of field and string theories could come into existence due to chaotic RG flow. We also conjecture the existence of dual quantum field theories in the half strip of Riemann-Zeta function. |
0710.2535 | Luca Ferretti | Luca Ferretti | O'Raifeartaigh models with spontaneous R-symmetry breaking | Submitted for SUSY07 proceedings | AIPConf.Proc.957:221-224,2007; J.Phys.Conf.Ser.110:072011,2008 | 10.1063/1.2823766 10.1088/1742-6596/110/7/072011 | null | hep-th | null | O'Raifeartaigh models with general R-charge assignments can have vacua where
both supersymmetry and R-symmetry are spontaneously broken. Most of these vacua
are metastable because the potential shows a runaway behaviour. We explain the
relation between runaway directions and R-symmetry.
| [
{
"created": "Fri, 12 Oct 2007 19:55:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ferretti",
"Luca",
""
]
] | O'Raifeartaigh models with general R-charge assignments can have vacua where both supersymmetry and R-symmetry are spontaneously broken. Most of these vacua are metastable because the potential shows a runaway behaviour. We explain the relation between runaway directions and R-symmetry. |
0706.3662 | Horace Stoica | Arttu Rajantie, Mairi Sakellariadou and Horace Stoica | Numerical experiments with p F- and q D-strings: the formation of (p,q)
bound states | 17 pages, 8 figures, JCAP style | JCAP0711:021,2007 | 10.1088/1475-7516/2007/11/021 | Imperial/TP/07/AR/01 | hep-th astro-ph hep-ph | null | We investigate the behaviour of (p,q) string networks, focusing on two
aspects: (1) modelling more realistic (p,q) string networks than the Z_N
networks used so far and (2) investigating the effect of long-range
interactions on the evolution of the network. We model the network with no
long-range interactions using two sets of fields, complex scalars coupled to
gauge fields, with a potential chosen such that the two types of strings will
form bound states. This way we can model junctions of 3 strings with different
tension; in Z_N models used so far in simulations all the strings have
identical tensions. In order to introduce long-range interactions we also study
a network in which one of the scalars forms global strings. We observe that in
the absence of long-range interactions the formation of bound states has a
significant influence on the evolution of the network. When long-range
interactions are turned on the bound states are short-lived and have a minimal
effect on the network evolution.
| [
{
"created": "Mon, 25 Jun 2007 15:01:47 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2007 10:24:27 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Dec 2007 15:05:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Rajantie",
"Arttu",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Stoica",
"Horace",
""
]
] | We investigate the behaviour of (p,q) string networks, focusing on two aspects: (1) modelling more realistic (p,q) string networks than the Z_N networks used so far and (2) investigating the effect of long-range interactions on the evolution of the network. We model the network with no long-range interactions using two sets of fields, complex scalars coupled to gauge fields, with a potential chosen such that the two types of strings will form bound states. This way we can model junctions of 3 strings with different tension; in Z_N models used so far in simulations all the strings have identical tensions. In order to introduce long-range interactions we also study a network in which one of the scalars forms global strings. We observe that in the absence of long-range interactions the formation of bound states has a significant influence on the evolution of the network. When long-range interactions are turned on the bound states are short-lived and have a minimal effect on the network evolution. |
1007.3354 | Hyeonjoon Shin | Makoto Sakaguchi, Hyeonjoon Shin, Kentaroh Yoshida | Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k | 27 pages, v2: references added, v3: major revision including the
clarification of k=2 case, references added, version to appear in JHEP | JHEP 1012:012,2010 | 10.1007/JHEP12(2010)012 | OIQP-10-02, CQUeST-2010-0379, KUNS-2281, RIKEN-TH-188 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We start from the classical action describing a single M2-brane on AdS_4 x
S^7/ Z_k and consider semiclassical fluctuaitions around a static, 1/2 BPS
configuration whose shape is AdS_2 x S^1. The internal manifold S^7/ Z_k is
described as a U(1) fibration over CP^3 and the static configuration is wrapped
on the U(1) fiber. Then the configuration is reduced to an AdS_2 world-sheet of
type IIA string on AdS_4 x CP^3 through the Kaluza-Klein reduction on the S^1.
It is shown that the fluctuations form an infinite set of N=1 supermultiplets
on AdS_2, for k=1,2. The set is invariant under SO(8) which may be consistent
with N=8 supersymmetry on AdS_2. We discuss the behavior of the fluctuations
around the boundary of AdS_2 and its relation to deformations of Wilson loop
operator.
| [
{
"created": "Tue, 20 Jul 2010 07:10:31 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2010 14:29:39 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Nov 2010 04:31:05 GMT",
"version": "v3"
}
] | 2010-12-09 | [
[
"Sakaguchi",
"Makoto",
""
],
[
"Shin",
"Hyeonjoon",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We start from the classical action describing a single M2-brane on AdS_4 x S^7/ Z_k and consider semiclassical fluctuaitions around a static, 1/2 BPS configuration whose shape is AdS_2 x S^1. The internal manifold S^7/ Z_k is described as a U(1) fibration over CP^3 and the static configuration is wrapped on the U(1) fiber. Then the configuration is reduced to an AdS_2 world-sheet of type IIA string on AdS_4 x CP^3 through the Kaluza-Klein reduction on the S^1. It is shown that the fluctuations form an infinite set of N=1 supermultiplets on AdS_2, for k=1,2. The set is invariant under SO(8) which may be consistent with N=8 supersymmetry on AdS_2. We discuss the behavior of the fluctuations around the boundary of AdS_2 and its relation to deformations of Wilson loop operator. |
hep-th/9812127 | Cumrun Vafa | Rajesh Gopakumar and Cumrun Vafa | M-Theory and Topological Strings--II | 19 pages | null | null | HUTP-98/A070 | hep-th | null | It is shown how the topological string amplitudes encode the BPS structure of
wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This
in turn is related to a twisted supersymmetric index in 5 dimensions which
receives contribution only from BPS states. The spin dependence of BPS states
in 5 dimensions is captured by the string coupling constant dependence of
topological string amplitudes.
| [
{
"created": "Tue, 15 Dec 1998 16:00:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gopakumar",
"Rajesh",
""
],
[
"Vafa",
"Cumrun",
""
]
] | It is shown how the topological string amplitudes encode the BPS structure of wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This in turn is related to a twisted supersymmetric index in 5 dimensions which receives contribution only from BPS states. The spin dependence of BPS states in 5 dimensions is captured by the string coupling constant dependence of topological string amplitudes. |
1303.3419 | Anton Galajinsky | Anton Galajinsky and Ivan Masterov | Dynamical realizations of l-conformal Newton-Hooke group | 12 pages | null | 10.1016/j.physletb.2013.04.054 | LMP-TPU-05/13 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The method of nonlinear realizations and the technique previously developed
in arXiv:1208.1403 are used to construct a dynamical system without higher
derivative terms, which holds invariant under the l-conformal Newton-Hooke
group. A configuration space of the model involves coordinates, which
parametrize a particle moving in d spatial dimensions and a conformal mode,
which gives rise to an effective external field.The dynamical system describes
a generalized multi-dimensional oscillator, which undergoes
accelerated/decelerated motion in an ellipse in accord with evolution of the
conformal mode. Higher derivative formulations are discussed as well. It is
demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the
l=3/2-conformal Newton-Hooke symmetry for a particular choice of its
frequencies.
| [
{
"created": "Thu, 14 Mar 2013 11:54:16 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Galajinsky",
"Anton",
""
],
[
"Masterov",
"Ivan",
""
]
] | The method of nonlinear realizations and the technique previously developed in arXiv:1208.1403 are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton-Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field.The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the l=3/2-conformal Newton-Hooke symmetry for a particular choice of its frequencies. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.