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/9512165 | Ingo Gaida | Ingo Gaida (Humboldt University Berlin) | Extended supersymmetry with gauged central charge | 9 pages,standard latex, (Revised Version), to appear in Phys. Lett. B | Phys.Lett. B373 (1996) 89-93 | 10.1016/0370-2693(96)00106-2 | HUB-EP-95-34 | hep-th | null | Global N=2 supersymmetry in four dimensions with a gauged central charge is
formulated in superspace. To find an irreducible representation of
supersymmetry for the gauge connections a set of constraints is given. Then the
Bianchi identities are solved subject to this set of constraints. It is shown
that the gauge connection of the central charge is a N=2 vector multiplet.
Moreover the Bogomol'nyi bound of the massive particle states is studied.
| [
{
"created": "Wed, 20 Dec 1995 13:32:52 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 1996 09:20:43 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Gaida",
"Ingo",
"",
"Humboldt University Berlin"
]
] | Global N=2 supersymmetry in four dimensions with a gauged central charge is formulated in superspace. To find an irreducible representation of supersymmetry for the gauge connections a set of constraints is given. Then the Bianchi identities are solved subject to this set of constraints. It is shown that the gauge connection of the central charge is a N=2 vector multiplet. Moreover the Bogomol'nyi bound of the massive particle states is studied. |
1810.01880 | Raphael Bousso | Raphael Bousso | Black hole entropy and the Bekenstein bound | 11 pages. Contribution to "Jacob Bekenstein Memorial Volume," to be
published by World Scientific Publishing | null | null | null | hep-th gr-qc physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I share some memories and offer a personal perspective on Jacob Bekenstein's
legacy, focussing on black hole entropy and the Bekenstein bound. I summarize a
number of fascinating recent developments that grew out of Bekenstein's
pioneering contributions, from the Ryu-Takayanagi proposal to the Quantum Null
Energy Condition.
| [
{
"created": "Wed, 3 Oct 2018 18:00:00 GMT",
"version": "v1"
}
] | 2018-10-05 | [
[
"Bousso",
"Raphael",
""
]
] | I share some memories and offer a personal perspective on Jacob Bekenstein's legacy, focussing on black hole entropy and the Bekenstein bound. I summarize a number of fascinating recent developments that grew out of Bekenstein's pioneering contributions, from the Ryu-Takayanagi proposal to the Quantum Null Energy Condition. |
2303.11534 | Juan Maldacena | Juan Maldacena | A simple quantum system that describes a black hole | 12 pages, 1 figure. V2 minor additions | null | null | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | During the past decades, theorists have been studying quantum mechanical
systems that are believed to describe black holes. We review one of the
simplest examples. It involves a collection of interacting oscillators and
Majorana fermions. It is conjectured to describe a black hole in an emergent
universe governed by Einstein equations. Based on previous numerical
computations, we make an estimate of the necessary number of qubits necessary
to see some black hole features.
| [
{
"created": "Tue, 21 Mar 2023 01:42:23 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2023 21:09:21 GMT",
"version": "v2"
},
{
"created": "Sun, 7 May 2023 22:47:25 GMT",
"version": "v3"
}
] | 2023-05-09 | [
[
"Maldacena",
"Juan",
""
]
] | During the past decades, theorists have been studying quantum mechanical systems that are believed to describe black holes. We review one of the simplest examples. It involves a collection of interacting oscillators and Majorana fermions. It is conjectured to describe a black hole in an emergent universe governed by Einstein equations. Based on previous numerical computations, we make an estimate of the necessary number of qubits necessary to see some black hole features. |
1410.2287 | Pawel Caputa | Pawel Caputa, Joan Simon, Andrius Stikonas and Tadashi Takayanagi | Quantum Entanglement of Localized Excited States at Finite Temperature | 1+28 pages, 12 figures, v2 reference added | null | 10.1007/JHEP01(2015)102 | YITP-14-76, IPMU14-0311 | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the time evolutions of (Renyi) entanglement entropy of
locally excited states in two dimensional conformal field theories (CFTs) at
finite temperature. We consider excited states created by acting with local
operators on thermal states and give both field theoretic and holographic
calculations. In free field CFTs, we find that the growth of Renyi entanglement
entropy at finite temperature is reduced compared to the zero temperature
result by a small quantity proportional to the width of the localized
excitations. On the other hand, in finite temperature CFTs with classical
gravity duals, we find that the entanglement entropy approaches a
characteristic value at late time. This behaviour does not occur at zero
temperature. We also study the mutual information between the two CFTs in the
thermofield double (TFD) formulation and give physical interpretations of our
results.
| [
{
"created": "Wed, 8 Oct 2014 21:26:54 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Oct 2014 14:23:22 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Caputa",
"Pawel",
""
],
[
"Simon",
"Joan",
""
],
[
"Stikonas",
"Andrius",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators on thermal states and give both field theoretic and holographic calculations. In free field CFTs, we find that the growth of Renyi entanglement entropy at finite temperature is reduced compared to the zero temperature result by a small quantity proportional to the width of the localized excitations. On the other hand, in finite temperature CFTs with classical gravity duals, we find that the entanglement entropy approaches a characteristic value at late time. This behaviour does not occur at zero temperature. We also study the mutual information between the two CFTs in the thermofield double (TFD) formulation and give physical interpretations of our results. |
hep-th/0110069 | Martin Cederwall | Martin Cederwall, Bengt E.W. Nilsson and Dimitrios Tsimpis | Spinorial cohomology and maximally supersymmetric theories | 23 pp, plain tex. v2: Minor changes, references added | JHEP 0202 (2002) 009 | 10.1088/1126-6708/2002/02/009 | Goteborg-ITP-2001 | hep-th | null | Fields in supersymmetric gauge theories may be seen as elements in a
spinorial cohomology. We elaborate on this subject, specialising to maximally
supersymmetric theories, where the superspace Bianchi identities, after
suitable conventional constraints are imposed, put the theories on shell. In
these cases, the spinorial cohomologies describe in a unified manner gauge
transformations, fields and possible deformations of the models, e.g.
string-related corrections in an alpha' expansion. Explicit cohomologies are
calculated for super-Yang-Mills theory in D=10, for the N=(2,0) tensor
multiplet in D=6 and for supergravity in D=11, in the latter case from the
point of view of both the super-vielbein and the super-3-form potential. The
techniques may shed light on some questions concerning the alpha'-corrected
effective theories, and result in better understanding of the role of the
3-form in D=11 supergravity.
| [
{
"created": "Mon, 8 Oct 2001 13:41:44 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2001 08:13:58 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cederwall",
"Martin",
""
],
[
"Nilsson",
"Bengt E. W.",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace Bianchi identities, after suitable conventional constraints are imposed, put the theories on shell. In these cases, the spinorial cohomologies describe in a unified manner gauge transformations, fields and possible deformations of the models, e.g. string-related corrections in an alpha' expansion. Explicit cohomologies are calculated for super-Yang-Mills theory in D=10, for the N=(2,0) tensor multiplet in D=6 and for supergravity in D=11, in the latter case from the point of view of both the super-vielbein and the super-3-form potential. The techniques may shed light on some questions concerning the alpha'-corrected effective theories, and result in better understanding of the role of the 3-form in D=11 supergravity. |
hep-th/0002053 | Paul H. Frampton | Paul H. Frampton | Conformality, Particle Phenomenology and the Cosmological Constant | 11 pages LaTeX. Talk at ORBIS-99, Fort Lauderdale. December 1999 | null | null | IFP-783-UNC | hep-th | null | Conformality is the idea that at TeV scales enrichment of the standard model
particle spectrum leads to conformal invariance at a fixed point of the
renormalization group. Some aspects of conformality in particle phenomenology
and cosmology are discussed.
| [
{
"created": "Mon, 7 Feb 2000 18:33:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Frampton",
"Paul H.",
""
]
] | Conformality is the idea that at TeV scales enrichment of the standard model particle spectrum leads to conformal invariance at a fixed point of the renormalization group. Some aspects of conformality in particle phenomenology and cosmology are discussed. |
1809.10975 | Aninda Sinha | Rajesh Gopakumar and Aninda Sinha | On the Polyakov-Mellin bootstrap | 37 pages, v2: version to appear in JHEP | null | 10.1007/JHEP12(2018)040 | null | hep-th cond-mat.stat-mech hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on some general aspects of the crossing symmetric approach of
Polyakov to the conformal bootstrap, as recently formulated in Mellin space.
This approach uses, as building blocks, Witten diagrams in AdS. We show the
necessity for having contact Witten diagrams, in addition to the exchange ones,
in two different contexts: a) the large $c$ expansion of the holographic
bootstrap b) in the $\epsilon$ expansion at subleading orders to the ones
studied already. In doing so, we use alternate simplified representations of
the Witten diagrams in Mellin space. This enables us to also obtain compact,
explicit expressions (in terms of a ${}_7F_6$ hypergeometric function!) for the
analogue of the crossing kernel for Witten diagrams i.e., the decomposition
into $s$-channel partial waves of crossed channel exchange diagrams.
| [
{
"created": "Fri, 28 Sep 2018 12:00:50 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2018 08:23:32 GMT",
"version": "v2"
}
] | 2018-12-26 | [
[
"Gopakumar",
"Rajesh",
""
],
[
"Sinha",
"Aninda",
""
]
] | We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building blocks, Witten diagrams in AdS. We show the necessity for having contact Witten diagrams, in addition to the exchange ones, in two different contexts: a) the large $c$ expansion of the holographic bootstrap b) in the $\epsilon$ expansion at subleading orders to the ones studied already. In doing so, we use alternate simplified representations of the Witten diagrams in Mellin space. This enables us to also obtain compact, explicit expressions (in terms of a ${}_7F_6$ hypergeometric function!) for the analogue of the crossing kernel for Witten diagrams i.e., the decomposition into $s$-channel partial waves of crossed channel exchange diagrams. |
hep-th/9606071 | null | M.Alimohammadi and M.Khorrami | $n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces | 8 pages,latex | Int.J.Mod.Phys. A12 (1997) 1959-1966 | 10.1142/S0217751X97001237 | IPM-96 | hep-th | null | Using the simple path integral method we calculate the $n$-point functions of
field strength of Yang-Mills theories on arbitrary two-dimensional Riemann
surfaces. In $U(1)$ case we show that the correlators consist of two parts , a
free and an $x$-independent part. In the case of non-abelian semisimple compact
gauge groups we find the non-gauge invariant correlators in Schwinger-Fock
gauge and show that it is also divided to a free and an almost $x$-independent
part. We also find the gauge-invariant Green functions and show that they
correspond to a free field theory.
| [
{
"created": "Wed, 12 Jun 1996 17:26:36 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Alimohammadi",
"M.",
""
],
[
"Khorrami",
"M.",
""
]
] | Using the simple path integral method we calculate the $n$-point functions of field strength of Yang-Mills theories on arbitrary two-dimensional Riemann surfaces. In $U(1)$ case we show that the correlators consist of two parts , a free and an $x$-independent part. In the case of non-abelian semisimple compact gauge groups we find the non-gauge invariant correlators in Schwinger-Fock gauge and show that it is also divided to a free and an almost $x$-independent part. We also find the gauge-invariant Green functions and show that they correspond to a free field theory. |
hep-th/0104179 | Christopher T. Hill | Hsin-Chia Cheng, Christopher T. Hill, Stefan Pokorski, Jing Wang | The Standard Model in the Latticized Bulk | 20 pages, no figures | Phys.Rev. D64 (2001) 065007 | 10.1103/PhysRevD.64.065007 | FERMILAB-Pub-01/053-T | hep-th hep-lat hep-ph | null | We construct the manifestly gauge invariant effective Lagrangian in 3+1
dimensions describing the Standard Model in 4+1 dimensions, following the
transverse lattice technique. We incorporate split generation fermions and we
explore naturalness for two Higgs configurations: a universal Higgs VEV, common
to each transverse brane, and a local Higgs VEV centered on a single brane with
discrete exponential attenuation to other branes, emulating the
split-generation model. Extra dimensions, with explicit Higgs, do not
ameliorate the naturalness problem.
| [
{
"created": "Fri, 20 Apr 2001 21:21:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cheng",
"Hsin-Chia",
""
],
[
"Hill",
"Christopher T.",
""
],
[
"Pokorski",
"Stefan",
""
],
[
"Wang",
"Jing",
""
]
] | We construct the manifestly gauge invariant effective Lagrangian in 3+1 dimensions describing the Standard Model in 4+1 dimensions, following the transverse lattice technique. We incorporate split generation fermions and we explore naturalness for two Higgs configurations: a universal Higgs VEV, common to each transverse brane, and a local Higgs VEV centered on a single brane with discrete exponential attenuation to other branes, emulating the split-generation model. Extra dimensions, with explicit Higgs, do not ameliorate the naturalness problem. |
hep-th/0312182 | Gabriele Veneziano | G. Veneziano | A Model for the Big Bounce | 10 pages, 2 figures | JCAP 0403 (2004) 004 | 10.1088/1475-7516/2004/03/004 | CERN-TH/2003-304 | hep-th | null | I motivate a proposal for modeling, at weak string coupling, the ``Big
Bounce" transition from a growing-curvature phase to standard (FRW) cosmology
in terms of a pressure-less dense gas of "string-holes" (SH), string states
lying on the correspondence curve between strings and black holes. During this
phase SH evolve in such a way that temperature and (string-frame) curvature
remain $O(M_s)$ and (a cosmological version of) the holographic entropy bound
remains saturated. This reasoning also appears to imply a new interpretation of
the Hagedorn phase transition in string theory.
| [
{
"created": "Tue, 16 Dec 2003 12:07:59 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Veneziano",
"G.",
""
]
] | I motivate a proposal for modeling, at weak string coupling, the ``Big Bounce" transition from a growing-curvature phase to standard (FRW) cosmology in terms of a pressure-less dense gas of "string-holes" (SH), string states lying on the correspondence curve between strings and black holes. During this phase SH evolve in such a way that temperature and (string-frame) curvature remain $O(M_s)$ and (a cosmological version of) the holographic entropy bound remains saturated. This reasoning also appears to imply a new interpretation of the Hagedorn phase transition in string theory. |
1710.04984 | Yusuke Kimura | Yusuke Kimura | Structure of stable degeneration of K3 surfaces into pairs of rational
elliptic surfaces | 24 pages, some clarifications | JHEP03(2018)045 | 10.1007/JHEP03(2018)045 | KEK-TH 2007 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | F-theory/heterotic duality is formulated in the stable degeneration limit of
a K3 fibration on the F-theory side. In this note, we analyze the structure of
the stable degeneration limit. We discuss whether stable degeneration exists
for pairs of rational elliptic surfaces. We demonstrate that, when two rational
elliptic surfaces have an identical complex structure, stable degeneration
always exists. We provide an equation that systematically describes the stable
degeneration of a K3 surface into a pair of isomorphic rational elliptic
surfaces. When two rational elliptic surfaces have different complex
structures, whether their sum glued along a smooth fiber admits deformation to
a K3 surface can be determined by studying the structure of the K3 lattice. We
investigate the lattice theoretic condition to determine whether a deformation
to a K3 surface exists for pairs of extremal rational elliptic surfaces. In
addition, we discuss the configurations of singular fibers under stable
degeneration. The sum of two isomorphic rational elliptic surfaces glued
together admits a deformation to a K3 surface, the singular fibers of which are
twice that of the rational elliptic surface. For special situations, singular
fibers of the resulting K3 surface collide and they are enhanced to a fiber of
another type. Some K3 surfaces become attractive in these situations. We
determine the complex structures and the Weierstrass forms of these attractive
K3 surfaces. We also deduce the gauge groups in F-theory compactifications on
these attractive K3 surfaces times a K3. $E_6$, $E_7$, $E_8$, $SU(5)$, and
$SO(10)$ gauge groups arise in these compactifications.
| [
{
"created": "Fri, 13 Oct 2017 16:14:20 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2017 07:01:21 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Nov 2017 13:07:10 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Nov 2017 18:39:37 GMT",
"version": "v4"
},
{
"created": "Thu, 16 Nov 2017 13:29:39 GMT",
"version": "v5"
}
] | 2018-03-13 | [
[
"Kimura",
"Yusuke",
""
]
] | F-theory/heterotic duality is formulated in the stable degeneration limit of a K3 fibration on the F-theory side. In this note, we analyze the structure of the stable degeneration limit. We discuss whether stable degeneration exists for pairs of rational elliptic surfaces. We demonstrate that, when two rational elliptic surfaces have an identical complex structure, stable degeneration always exists. We provide an equation that systematically describes the stable degeneration of a K3 surface into a pair of isomorphic rational elliptic surfaces. When two rational elliptic surfaces have different complex structures, whether their sum glued along a smooth fiber admits deformation to a K3 surface can be determined by studying the structure of the K3 lattice. We investigate the lattice theoretic condition to determine whether a deformation to a K3 surface exists for pairs of extremal rational elliptic surfaces. In addition, we discuss the configurations of singular fibers under stable degeneration. The sum of two isomorphic rational elliptic surfaces glued together admits a deformation to a K3 surface, the singular fibers of which are twice that of the rational elliptic surface. For special situations, singular fibers of the resulting K3 surface collide and they are enhanced to a fiber of another type. Some K3 surfaces become attractive in these situations. We determine the complex structures and the Weierstrass forms of these attractive K3 surfaces. We also deduce the gauge groups in F-theory compactifications on these attractive K3 surfaces times a K3. $E_6$, $E_7$, $E_8$, $SU(5)$, and $SO(10)$ gauge groups arise in these compactifications. |
1311.6485 | Claudia de Rham | Claudia de Rham, Andrew Matas, and Andrew J. Tolley | New Kinetic Interactions for Massive Gravity? | version published in CQG | null | 10.1088/0264-9381/31/16/165004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that there can be no new Lorentz invariant kinetic interactions free
from the Boulware-Deser ghost in four dimensions in the metric formulation of
gravity, beyond the standard Einstein-Hilbert, up to total derivatives. We use
dimensional deconstruction as a way to motivate a non-linear ansatz for
potential new ghost free kinetic interactions for massive gravity, bi-gravity
and multi-gravity in four and higher dimensions. These interactions descend
from Lovelock terms, and so naively one might expect the interactions to be
ghost free. However we show that these new interactions inevitably lead to more
than five propagating degrees of freedom. We then perform a general
perturbative analysis in four dimensions, and show that the only term with two
derivatives that does not introduce a ghost is the Einstein-Hilbert term. This
result extends to all orders in perturbations.
| [
{
"created": "Mon, 25 Nov 2013 21:21:32 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2014 19:50:05 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"de Rham",
"Claudia",
""
],
[
"Matas",
"Andrew",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | We show that there can be no new Lorentz invariant kinetic interactions free from the Boulware-Deser ghost in four dimensions in the metric formulation of gravity, beyond the standard Einstein-Hilbert, up to total derivatives. We use dimensional deconstruction as a way to motivate a non-linear ansatz for potential new ghost free kinetic interactions for massive gravity, bi-gravity and multi-gravity in four and higher dimensions. These interactions descend from Lovelock terms, and so naively one might expect the interactions to be ghost free. However we show that these new interactions inevitably lead to more than five propagating degrees of freedom. We then perform a general perturbative analysis in four dimensions, and show that the only term with two derivatives that does not introduce a ghost is the Einstein-Hilbert term. This result extends to all orders in perturbations. |
hep-th/9806186 | Joao Branco | Joao Branco | Probing a D6 + D0 state with D6-branes: SYM - Supergravity
correspondence at subleading level | LaTeX, 15 pages, no figures | Class.Quant.Grav. 15 (1998) 3739-3748 | 10.1088/0264-9381/15/12/004 | Imperial/TP/97-98/58 | hep-th gr-qc | null | We probe a non-supersymmetric D6 + D0 state with D6-branes and find agreement
at subleading order between the supergravity and super Yang-Mills description
of the long-distance, low-velocity interaction.
| [
{
"created": "Mon, 22 Jun 1998 16:56:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Branco",
"Joao",
""
]
] | We probe a non-supersymmetric D6 + D0 state with D6-branes and find agreement at subleading order between the supergravity and super Yang-Mills description of the long-distance, low-velocity interaction. |
1003.4199 | Rafael Torrealba | Rafael S. Torrealba | Localizing Gauge Fields on a Topological Abelian String and the Coulomb
Law | 15pages, 3 figures | Phys.Rev.D82:024034,2010 | 10.1103/PhysRevD.82.024034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The confinement of electromagnetic field is studied in axial symmetrical,
warped, 6D World Brane, using a recently proposed topological abelian string
vortex solution as background. It was found, that the massless gauge field
fluctuations follow 4D Maxwell equations in the Lorenz gauge. The massless zero
mode is localized when the thickness of the string-vortex is less than 5%
$\beta/4\pi e^{2}$ there are not others localized massless modes. There is also
an infinite of non localized massive Fourier modes, that follow 4 dimensional
Proca equations with a continuous spectrum. To compute the corrections to the
Coulomb potential, a radial cutoff was introduced, in order to achieve a
discrete mass spectrum. As main result, a $\frac{1}{R^{2}}$ correction was
found for the 4D effective Coulomb law. Although, this correction is milder
than the $% \frac{1}{R^{3}}$ expected for flat 5+1 dimensional
electromagnetism, the result is in correspondence with the observed behavior of
the Coulomb potential at nowadays measurable distances.
| [
{
"created": "Mon, 22 Mar 2010 15:42:22 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Apr 2010 02:52:18 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Torrealba",
"Rafael S.",
""
]
] | The confinement of electromagnetic field is studied in axial symmetrical, warped, 6D World Brane, using a recently proposed topological abelian string vortex solution as background. It was found, that the massless gauge field fluctuations follow 4D Maxwell equations in the Lorenz gauge. The massless zero mode is localized when the thickness of the string-vortex is less than 5% $\beta/4\pi e^{2}$ there are not others localized massless modes. There is also an infinite of non localized massive Fourier modes, that follow 4 dimensional Proca equations with a continuous spectrum. To compute the corrections to the Coulomb potential, a radial cutoff was introduced, in order to achieve a discrete mass spectrum. As main result, a $\frac{1}{R^{2}}$ correction was found for the 4D effective Coulomb law. Although, this correction is milder than the $% \frac{1}{R^{3}}$ expected for flat 5+1 dimensional electromagnetism, the result is in correspondence with the observed behavior of the Coulomb potential at nowadays measurable distances. |
0911.0271 | Torsten Asselmeyer-Maluga | Torsten Asselmeyer-Maluga and Jerzy Kr\'ol | Gerbes on orbifolds and exotic smooth R^4 | now 22 pages, the construction of the foliation in the appendix was
added, no figures, adjustment of the changes in arXiv:0904.1276, subm. to
Comm. Math. Phys | null | null | null | hep-th gr-qc math-ph math.GT math.KT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the relation between foliations and exotic R^4, orbifold $K$-theory
deformed by a gerbe can be interpreted as coming from the change in the
smoothness of R^4. We give various interpretations of integral 3-rd cohomology
classes on S^3 and discuss the difference between large and small exotic R^4.
Then we show that $K$-theories deformed by gerbes of the Leray orbifold of S^3
are in one-to-one correspondence with some exotic smooth R^4's. The equivalence
can be understood in the sense that stable isomorphisms classes of bundle
gerbes on S^{3} whose codimension-1 foliations generates the foliations of the
boundary of the Akbulut cork, correspond uniquely to these exotic R^{4}'s.
Given the orbifold $SU(2)\times SU(2)\rightrightarrows SU(2)$ where SU(2) acts
on itself by conjugation, the deformations of the equivariant $K$-theory on
this orbifold by the elements of $H_{SU(2)}^{3}(SU(2),\mathbb{Z})$, correspond
to the changes of suitable exotic smooth structures on R^4.
| [
{
"created": "Mon, 2 Nov 2009 10:01:44 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2009 08:19:13 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Dec 2009 11:17:16 GMT",
"version": "v3"
}
] | 2009-12-21 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Król",
"Jerzy",
""
]
] | By using the relation between foliations and exotic R^4, orbifold $K$-theory deformed by a gerbe can be interpreted as coming from the change in the smoothness of R^4. We give various interpretations of integral 3-rd cohomology classes on S^3 and discuss the difference between large and small exotic R^4. Then we show that $K$-theories deformed by gerbes of the Leray orbifold of S^3 are in one-to-one correspondence with some exotic smooth R^4's. The equivalence can be understood in the sense that stable isomorphisms classes of bundle gerbes on S^{3} whose codimension-1 foliations generates the foliations of the boundary of the Akbulut cork, correspond uniquely to these exotic R^{4}'s. Given the orbifold $SU(2)\times SU(2)\rightrightarrows SU(2)$ where SU(2) acts on itself by conjugation, the deformations of the equivariant $K$-theory on this orbifold by the elements of $H_{SU(2)}^{3}(SU(2),\mathbb{Z})$, correspond to the changes of suitable exotic smooth structures on R^4. |
1411.2762 | Giulio Bonelli | Aditya Bawane, Giulio Bonelli, Massimiliano Ronzani and Alessandro
Tanzini | $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and
Liouville Gravity | 48+1 pages, no figures; v2. typos corrected, comments and refs added;
v3 JHEP version | null | null | SISSA 59/2014/FISI-MATE | hep-th math-ph math.AG math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds
admitting an isometry. Generalized Killing spinor equations are derived from
the consistency of supersymmetry algebrae and solved in the case of four
manifolds admitting a $U(1)$ isometry. This is used to explicitly compute the
supersymmetric path integral on $S^2\times S^2$ via equivariant localization.
The building blocks of the resulting partition function are shown to contain
the three point functions and the conformal blocks of Liouville Gravity.
| [
{
"created": "Tue, 11 Nov 2014 10:55:40 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jan 2015 11:16:27 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jul 2015 10:36:20 GMT",
"version": "v3"
}
] | 2015-07-28 | [
[
"Bawane",
"Aditya",
""
],
[
"Bonelli",
"Giulio",
""
],
[
"Ronzani",
"Massimiliano",
""
],
[
"Tanzini",
"Alessandro",
""
]
] | We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds admitting an isometry. Generalized Killing spinor equations are derived from the consistency of supersymmetry algebrae and solved in the case of four manifolds admitting a $U(1)$ isometry. This is used to explicitly compute the supersymmetric path integral on $S^2\times S^2$ via equivariant localization. The building blocks of the resulting partition function are shown to contain the three point functions and the conformal blocks of Liouville Gravity. |
1112.3356 | Sa\v{s}o Grozdanov | Sa\v{s}o Grozdanov | Wilsonian renormalisation and the exact cut-off scale from holographic
duality | 43 pages, 1 figure | JHEP 1206 (2012) 079 | 10.1007/JHEP06(2012)079 | OUTP-11-58P | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a method for determining the exact correspondence between the
Wilsonian cut-off scale on the boundary and its holographically dual bulk
theory. We systematically construct the multi-trace Wilsonian effective action
from holographic renormalisation and evolve it by integrating out the
asymptotically Anti-de Sitter bulk geometry with scalar probes. The Wilsonian
nature of the effective action is shown by proving that it must be either
double-trace, closing in on itself under successive integrations, or have an
infinite series of multi-trace terms. Focusing on composite scalar operator
renormalisation, we relate the Callan-Symanzik equation, the flow of the scalar
anomalous dimension and the multi-trace beta functions to their dual RG flows
in the bulk. Establishing physical renormalisation conditions on the behaviour
of the large-$N$ anomalous dimension then enables us to extract the energy
scales. Examples of pure AdS, GPPZ flow, black brane in AdS, M2 and M5 branes
are studied before we generalise our results to arbitrary numbers of mass and
thermal deformations of an ultra-violet CFT. Relations between the undeformed
Wilsonian cut-off, deformation scales and the deformed Wilsonian cut-off are
discussed, as is phenomenology of each considered background. We see how a mass
gap, the emergent infra-red CFT scaling, etc. arise in different effective
theories. We also argue that these results can have alternative interpretations
through the flow of the conformal anomaly or the Ricci scalar curvature of
boundary branes. They show consistency with the c-theorem.
| [
{
"created": "Wed, 14 Dec 2011 21:05:45 GMT",
"version": "v1"
},
{
"created": "Sun, 6 May 2012 12:05:56 GMT",
"version": "v2"
}
] | 2012-06-22 | [
[
"Grozdanov",
"Sašo",
""
]
] | We propose a method for determining the exact correspondence between the Wilsonian cut-off scale on the boundary and its holographically dual bulk theory. We systematically construct the multi-trace Wilsonian effective action from holographic renormalisation and evolve it by integrating out the asymptotically Anti-de Sitter bulk geometry with scalar probes. The Wilsonian nature of the effective action is shown by proving that it must be either double-trace, closing in on itself under successive integrations, or have an infinite series of multi-trace terms. Focusing on composite scalar operator renormalisation, we relate the Callan-Symanzik equation, the flow of the scalar anomalous dimension and the multi-trace beta functions to their dual RG flows in the bulk. Establishing physical renormalisation conditions on the behaviour of the large-$N$ anomalous dimension then enables us to extract the energy scales. Examples of pure AdS, GPPZ flow, black brane in AdS, M2 and M5 branes are studied before we generalise our results to arbitrary numbers of mass and thermal deformations of an ultra-violet CFT. Relations between the undeformed Wilsonian cut-off, deformation scales and the deformed Wilsonian cut-off are discussed, as is phenomenology of each considered background. We see how a mass gap, the emergent infra-red CFT scaling, etc. arise in different effective theories. We also argue that these results can have alternative interpretations through the flow of the conformal anomaly or the Ricci scalar curvature of boundary branes. They show consistency with the c-theorem. |
hep-th/0210176 | Soumitra SenGupta | Sayan Kar, Soumitra SenGupta, Saurabh Sur | Static spherisymmetric solutions, gravitational lensing and perihelion
precession in Einstein--Kalb--Ramond theory | 9 Pages, Revtex,2 figures, revised and references added, To appear in
Physical Review D | Phys.Rev.D67:044005,2003 | 10.1103/PhysRevD.67.044005 | null | hep-th | null | Static, spherically symmetric solutions of the Einstein--Kalb--Ramond (KR)
field equations are obtained. Besides an earlier known exact solution, we also
find an approximate, asymptotically flat solution for which the metric
coefficients are obtained as an infinte series in $\frac{1}{r}$. Subsequently,
we study gravitational lensing and perihelion precession in these spacetimes
and obtain explicit formulae which include corrections to these effects in the
presence of the KR field.
| [
{
"created": "Fri, 18 Oct 2002 07:57:07 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2002 11:08:54 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Kar",
"Sayan",
""
],
[
"SenGupta",
"Soumitra",
""
],
[
"Sur",
"Saurabh",
""
]
] | Static, spherically symmetric solutions of the Einstein--Kalb--Ramond (KR) field equations are obtained. Besides an earlier known exact solution, we also find an approximate, asymptotically flat solution for which the metric coefficients are obtained as an infinte series in $\frac{1}{r}$. Subsequently, we study gravitational lensing and perihelion precession in these spacetimes and obtain explicit formulae which include corrections to these effects in the presence of the KR field. |
hep-th/0309163 | Martin Olsson | Ulf H. Danielsson, Martin E. Olsson | On Thermalization in de Sitter Space | 14 pages, 2 figures, latex, references added. Improved discussion in
section 3 added | JHEP 0403 (2004) 036 | 10.1088/1126-6708/2004/03/036 | UUITP-17/03 | hep-th | null | We discuss thermalization in de Sitter space and argue, from two different
points of view, that the typical time needed for thermalization is of order
$R^{3}/l_{pl}^{2}$, where $R$ is the radius of the de Sitter space in question.
This time scale gives plenty of room for non-thermal deviations to survive
during long periods of inflation. We also speculate in more general terms on
the meaning of the time scale for finite quantum systems inside isolated boxes,
and comment on the relation to the Poincar\'{e} recurrence time.
| [
{
"created": "Tue, 16 Sep 2003 15:07:25 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2003 14:36:16 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Jan 2004 17:39:42 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Danielsson",
"Ulf H.",
""
],
[
"Olsson",
"Martin E.",
""
]
] | We discuss thermalization in de Sitter space and argue, from two different points of view, that the typical time needed for thermalization is of order $R^{3}/l_{pl}^{2}$, where $R$ is the radius of the de Sitter space in question. This time scale gives plenty of room for non-thermal deviations to survive during long periods of inflation. We also speculate in more general terms on the meaning of the time scale for finite quantum systems inside isolated boxes, and comment on the relation to the Poincar\'{e} recurrence time. |
2005.06169 | Jann Zosso | Anton de la Fuente and Jann Zosso | The large charge expansion and AdS/CFT | null | null | 10.1007/JHEP06(2020)178 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The scaling dimensions of charged operators in conformal field theory were
recently computed in a large charge expansion. We verify this expansion in a
dual AdS model. Specifically, we numerically construct solitonic boson star
solutions of Einstein-Maxwell-Scalar theory in AdS$_4$ and find that its mass
at large charge reproduces the universal form of the lowest operator dimension
in the large U(1) charge sector of the dual 2+1 dimensional CFT.
| [
{
"created": "Wed, 13 May 2020 06:20:22 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"de la Fuente",
"Anton",
""
],
[
"Zosso",
"Jann",
""
]
] | The scaling dimensions of charged operators in conformal field theory were recently computed in a large charge expansion. We verify this expansion in a dual AdS model. Specifically, we numerically construct solitonic boson star solutions of Einstein-Maxwell-Scalar theory in AdS$_4$ and find that its mass at large charge reproduces the universal form of the lowest operator dimension in the large U(1) charge sector of the dual 2+1 dimensional CFT. |
hep-th/0509095 | Pat Malone | V. Elias, D.G.C. McKeon | The Renormalization Group with Exact beta-Functions | null | null | 10.1139/P06-028 | PACS No. 11.10Z | hep-th | null | The perturbative $\beta$-function is known exactly in a number of
supersymmetric theories and in the 't Hooft renormalization scheme in the
$\phi_4^4$ model. It is shown how this allows one to compute the effective
action exactly for certain background field configurations and to relate bare
and renormalized couplings. The relationship between the MS and SUSY
subtraction schemes in $N = 1$ super Yang-Mills theory is discussed.
| [
{
"created": "Tue, 13 Sep 2005 17:48:52 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Elias",
"V.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | The perturbative $\beta$-function is known exactly in a number of supersymmetric theories and in the 't Hooft renormalization scheme in the $\phi_4^4$ model. It is shown how this allows one to compute the effective action exactly for certain background field configurations and to relate bare and renormalized couplings. The relationship between the MS and SUSY subtraction schemes in $N = 1$ super Yang-Mills theory is discussed. |
1308.4412 | Luiz Agostinho Ferreira | L. A. Ferreira and Wojtek J. Zakrzewski | Numerical and analytical tests of quasi-integrability in modified
Sine-Gordon models | 33 pages, 19 figures, Reference added | null | 10.1007/JHEP01(2014)058 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following our attempts to define quasi-integrability in which we related this
concept to a particular symmetry of the two-soliton function we check this
condition in three classes of modified Sine-Gordon models in (1+1) dimensions.
We find that the numerical results seen in various scatterings of two solitons
and in the time evolution of breather-like structures support our ideas about
the symmetry of the field configurations and its effects on the anomalies of
the conservation laws of the charges.
| [
{
"created": "Tue, 20 Aug 2013 20:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2013 18:21:45 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Ferreira",
"L. A.",
""
],
[
"Zakrzewski",
"Wojtek J.",
""
]
] | Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified Sine-Gordon models in (1+1) dimensions. We find that the numerical results seen in various scatterings of two solitons and in the time evolution of breather-like structures support our ideas about the symmetry of the field configurations and its effects on the anomalies of the conservation laws of the charges. |
hep-th/0512225 | S. Gopinath Kamath | S.G.Kamath | The trace identity and the planar Casimir effect | 27 pages | Pramana66:325-344,2006 | 10.1007/BF02704388 | null | hep-th | null | The familiar trace identity associated with the scale transformation xxxx on
the Lagrangian density for a noninteracting massive real scalar field in 2 + 1
dimensions is shown to be violated on a single plate on which the Dirichlet
boundary condition xxxx is imposed.It is however respected in : i. 1 + 1
dimensions in both free space and on a single plate on which the Dirichlet
boundary condition xxxx holds; and, ii. in 2 + 1 dimensions in free space, i.e.
the unconstrained configuration.On the plate where xxxx, the modified trace
identity is shown to be anomalous with a numerical coefficient for the
anomalous term equal to the canonical scale dimension viz.1/2. The technique of
Bordag,Robaschik and Wieczorek [5] is used to incorporate the said boundary
condition into the generating functional for the connected Green's functions.
Note: The xxxx in the abstract above refer to symbols that are available in
the abstract of the paper.
| [
{
"created": "Mon, 19 Dec 2005 06:40:33 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kamath",
"S. G.",
""
]
] | The familiar trace identity associated with the scale transformation xxxx on the Lagrangian density for a noninteracting massive real scalar field in 2 + 1 dimensions is shown to be violated on a single plate on which the Dirichlet boundary condition xxxx is imposed.It is however respected in : i. 1 + 1 dimensions in both free space and on a single plate on which the Dirichlet boundary condition xxxx holds; and, ii. in 2 + 1 dimensions in free space, i.e. the unconstrained configuration.On the plate where xxxx, the modified trace identity is shown to be anomalous with a numerical coefficient for the anomalous term equal to the canonical scale dimension viz.1/2. The technique of Bordag,Robaschik and Wieczorek [5] is used to incorporate the said boundary condition into the generating functional for the connected Green's functions. Note: The xxxx in the abstract above refer to symbols that are available in the abstract of the paper. |
hep-th/0410278 | Rozali | Callum Quigley and Moshe Rozali | One-Loop MHV Amplitudes in Supersymmetric Gauge Theories | 20 pages, 5 figures | JHEP0501:053,2005 | 10.1088/1126-6708/2005/01/053 | null | hep-th | null | Using CSW rules for constructing scalar Feynman diagrams from MHV vertices,
we compute the contribution of $\mathcal {N}=1$ chiral multiplet to one-loop
MHV gluon amplitude. The result agrees with the one obtained previously using
unitarity-based methods, thereby demonstrating the validity of the MHV-diagram
technique, in the case of one-loop MHV amplitudes, for all massless
supersymmetric theories.
| [
{
"created": "Thu, 28 Oct 2004 16:21:13 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Quigley",
"Callum",
""
],
[
"Rozali",
"Moshe",
""
]
] | Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of $\mathcal {N}=1$ chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one obtained previously using unitarity-based methods, thereby demonstrating the validity of the MHV-diagram technique, in the case of one-loop MHV amplitudes, for all massless supersymmetric theories. |
hep-th/9504155 | Guest | D.V. Gal'tsov, A.A. Garcia, and O.V. Kechkin | Symmetries of the stationary Einstein--Maxwell--dilaton theory | Latex, 24 pp | Class.Quant.Grav.12:2887-2903,1995 | 10.1088/0264-9381/12/12/007 | CINVESTAV--GRG--94/12, May 94, (Revised: March 95) | hep-th gr-qc | null | Gravity coupled three--dimensional $\sigma$--model describing the stationary
Einstein--Maxwell--dilaton system with general dilaton coupling is studied.
Killing equations for the corresponding five--dimensional target space are
integrated. It is shown that for general coupling constant $\alpha$ the
symmetry algebra is isomorphic to the maximal solvable subalgebra of $sl(3,R)$.
For two critical values $\alpha =0$ and $\alpha =\sqrt{3}$, Killing algebra
enlarges to the full $sl(3,R)$ and $su(2,1)\times R$ algebras respectively,
which correspond to five--dimensional Kaluza--Klein and four--dimensional
Brans--Dicke--Maxwell theories. These two models are analyzed in terms of the
unique real variables. Relation to the description in terms of complex Ernst
potentials is discussed. Non--trivial discrete maps between different subspaces
of the target space are found and used to generate new arbitrary--$\alpha$
solutions to dilaton gravity.
| [
{
"created": "Fri, 28 Apr 1995 18:05:27 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Gal'tsov",
"D. V.",
""
],
[
"Garcia",
"A. A.",
""
],
[
"Kechkin",
"O. V.",
""
]
] | Gravity coupled three--dimensional $\sigma$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated. It is shown that for general coupling constant $\alpha$ the symmetry algebra is isomorphic to the maximal solvable subalgebra of $sl(3,R)$. For two critical values $\alpha =0$ and $\alpha =\sqrt{3}$, Killing algebra enlarges to the full $sl(3,R)$ and $su(2,1)\times R$ algebras respectively, which correspond to five--dimensional Kaluza--Klein and four--dimensional Brans--Dicke--Maxwell theories. These two models are analyzed in terms of the unique real variables. Relation to the description in terms of complex Ernst potentials is discussed. Non--trivial discrete maps between different subspaces of the target space are found and used to generate new arbitrary--$\alpha$ solutions to dilaton gravity. |
1307.7150 | Yi-Fu Cai | Yi-Fu Cai, Francis Duplessis, Emmanuel N. Saridakis | $F(R)$ nonlinear massive theories of gravity and their cosmological
implications | 6 pages, 1 figure, version published in Phys. Rev. D | Phys. Rev. D 90, 064051 (2014) | 10.1103/PhysRevD.90.064051 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a nonlinear massive gravitational theory which includes $F(R)$
modifications. This construction inherits the benefits of the de
Rham-Gabadadze-Tolley model and is free of the Boulware-Deser ghost due to the
existence of a Hamiltonian constraint accompanied by a nontrivial secondary
one. The scalar perturbations in a cosmological background can be stabilized at
the linear level for a wide class of the $F(R)$ models. The linear scalar mode
arisen from the $F(R)$ sector can absorb the nonlinear longitudinal graviton,
and hence, our scenario demonstrates the possibility of a gravitational
Goldstone theorem. Finally, due to the combined contribution of the $F(R)$ and
graviton-mass sectors, the proposed theory allows for a large class of
cosmological evolutions, such as the simultaneous and unified description of
inflation and late-time acceleration.
| [
{
"created": "Fri, 26 Jul 2013 20:04:24 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 2014 16:42:50 GMT",
"version": "v2"
}
] | 2014-10-03 | [
[
"Cai",
"Yi-Fu",
""
],
[
"Duplessis",
"Francis",
""
],
[
"Saridakis",
"Emmanuel N.",
""
]
] | We propose a nonlinear massive gravitational theory which includes $F(R)$ modifications. This construction inherits the benefits of the de Rham-Gabadadze-Tolley model and is free of the Boulware-Deser ghost due to the existence of a Hamiltonian constraint accompanied by a nontrivial secondary one. The scalar perturbations in a cosmological background can be stabilized at the linear level for a wide class of the $F(R)$ models. The linear scalar mode arisen from the $F(R)$ sector can absorb the nonlinear longitudinal graviton, and hence, our scenario demonstrates the possibility of a gravitational Goldstone theorem. Finally, due to the combined contribution of the $F(R)$ and graviton-mass sectors, the proposed theory allows for a large class of cosmological evolutions, such as the simultaneous and unified description of inflation and late-time acceleration. |
hep-th/0001059 | Konstantin B. Korotchenko | K.B. Korotchenko (Tomsk Polytechnical University, Rossia) | The basic principles of geometrization of the quantum mechanics | 6 pages | null | null | null | hep-th | null | The basic principles of the quantum mechanics in the K-field formalism (see
author's papers) are stated in the paper. K-field formalism arises from
geometric generalization of de Broglie postulate. So, the quantum theory
equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac
equations) are obtained as the free wave equations on a manifold metrizing
force interactions of particles. In this paper, describing wave properties of
particles we will restricted ourself with construction special geometric
formulation of force interactions.
| [
{
"created": "Tue, 11 Jan 2000 12:01:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Korotchenko",
"K. B.",
"",
"Tomsk Polytechnical University, Rossia"
]
] | The basic principles of the quantum mechanics in the K-field formalism (see author's papers) are stated in the paper. K-field formalism arises from geometric generalization of de Broglie postulate. So, the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained as the free wave equations on a manifold metrizing force interactions of particles. In this paper, describing wave properties of particles we will restricted ourself with construction special geometric formulation of force interactions. |
1201.1770 | Eugenio R. Bezerra de Mello | E. R. Bezerra de Mello and A. A. Saharian | Scalar self-energy for a charged particle in global monopole spacetime
with a spherical boundary | 26 pages, 7 figures. Paper accepted for publication in CQG with minor
revision. arXiv admin note: text overlap with arXiv:1009.0195 | Class. Quantum Grav. 29 (2012) 135007 | 10.1088/0264-9381/29/13/135007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze combined effects of the geometry produced by global monopole and a
concentric spherical boundary on the self-energy of a point-like scalar charged
test particle at rest. We assume that the boundary is outside the monopole's
core with a general spherically symmetric inner structure. An important
quantity to this analysis is the three-dimensional Green function associated
with this system. For both Dirichlet and Neumann boundary conditions obeyed by
the scalar field on the sphere, the Green function presents a structure that
contains contributions due to the background geometry of the spacetime and the
boundary. Consequently the corresponding induced scalar self-energy present
also similar structure. For points near the sphere the boundary-induced part
dominates and the self-force is repulsive/attractive with respect to the
boundary for Dirichlet/Neumann boundary condition. In the region outside the
sphere at large distances from it, the boundary-free part in the self-energy
dominates and the corresponding self-force can be either attractive or
repulsive with dependence of the curvature coupling parameter for scalar field.
In particular, for the minimal coupling we show the presence of a stable
equilibrium point for Dirichlet boundary condition. In the region inside the
sphere the nature of the self-force depends on the specific model for the
monopole's core. As illustrations of the general procedure adopted we shall
consider two distinct models, namely flower-pot and the ballpoint-pen ones.
| [
{
"created": "Mon, 9 Jan 2012 14:14:24 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2012 17:16:31 GMT",
"version": "v2"
}
] | 2012-09-17 | [
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] | We analyze combined effects of the geometry produced by global monopole and a concentric spherical boundary on the self-energy of a point-like scalar charged test particle at rest. We assume that the boundary is outside the monopole's core with a general spherically symmetric inner structure. An important quantity to this analysis is the three-dimensional Green function associated with this system. For both Dirichlet and Neumann boundary conditions obeyed by the scalar field on the sphere, the Green function presents a structure that contains contributions due to the background geometry of the spacetime and the boundary. Consequently the corresponding induced scalar self-energy present also similar structure. For points near the sphere the boundary-induced part dominates and the self-force is repulsive/attractive with respect to the boundary for Dirichlet/Neumann boundary condition. In the region outside the sphere at large distances from it, the boundary-free part in the self-energy dominates and the corresponding self-force can be either attractive or repulsive with dependence of the curvature coupling parameter for scalar field. In particular, for the minimal coupling we show the presence of a stable equilibrium point for Dirichlet boundary condition. In the region inside the sphere the nature of the self-force depends on the specific model for the monopole's core. As illustrations of the general procedure adopted we shall consider two distinct models, namely flower-pot and the ballpoint-pen ones. |
hep-th/9805190 | Harald Skarke | M. Kreuzer and H. Skarke | Classification of Reflexive Polyhedra in Three Dimensions | 19 pages, LaTeX2e | Adv.Theor.Math.Phys.2:847-864,1998 | null | TUW-98-13, UTTG-07-98 | hep-th math.AG | null | We present the last missing details of our algorithm for the classification
of reflexive polyhedra in arbitrary dimensions. We also present the results of
an application of this algorithm to the case of three dimensional reflexive
polyhedra. We get 4319 such polyhedra that give rise to K3 surfaces embedded in
toric varieties. 16 of these contain all others as subpolyhedra. The 4319
polyhedra form a single connected web if we define two polyhedra to be
connected if one of them contains the other.
| [
{
"created": "Wed, 27 May 1998 21:15:44 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kreuzer",
"M.",
""
],
[
"Skarke",
"H.",
""
]
] | We present the last missing details of our algorithm for the classification of reflexive polyhedra in arbitrary dimensions. We also present the results of an application of this algorithm to the case of three dimensional reflexive polyhedra. We get 4319 such polyhedra that give rise to K3 surfaces embedded in toric varieties. 16 of these contain all others as subpolyhedra. The 4319 polyhedra form a single connected web if we define two polyhedra to be connected if one of them contains the other. |
1109.2792 | Donovan Young | Abhishek Agarwal, Donovan Young | Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in
D=2+1 | Talk given by A. Agarwal, to be published in the Proceedings of the
DPF-2011 Conference, Providence, RI, August 8-13, 2011. 7 pages. v2
references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This talk, based principally on arXiv:1103.0786, is devoted to properties of
tree-level S-matrices of N=2,4,8 SYM in D=2+1. We'll discuss an on-shell
formalism for three-dimensional theories inspired by the spinor-helicity
framework in four spacetime dimensions. Our framework will be shown be to
particularly well suited for the extraction of hidden symmetries and algebraic
structures that the scattering amplitudes of the three-dimensional theories
posses. In particular we shall discuss the manifest SO(N) symmetry of the
S-matrix to all orders in perturbation theory; a symmetry that the Lagrangians
of these theories do not have. After a brief discussion of the ramification of
the SO(N) invariance to the D2-M2 brane dualities, we shall introduce an
on-shell superfield framework for three-dimensional theories and end with a
surprising hint of the existence of non-local symmetries for the S-matrix of
the N=8 theory.
| [
{
"created": "Tue, 13 Sep 2011 14:04:01 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2011 11:12:41 GMT",
"version": "v2"
}
] | 2011-09-27 | [
[
"Agarwal",
"Abhishek",
""
],
[
"Young",
"Donovan",
""
]
] | This talk, based principally on arXiv:1103.0786, is devoted to properties of tree-level S-matrices of N=2,4,8 SYM in D=2+1. We'll discuss an on-shell formalism for three-dimensional theories inspired by the spinor-helicity framework in four spacetime dimensions. Our framework will be shown be to particularly well suited for the extraction of hidden symmetries and algebraic structures that the scattering amplitudes of the three-dimensional theories posses. In particular we shall discuss the manifest SO(N) symmetry of the S-matrix to all orders in perturbation theory; a symmetry that the Lagrangians of these theories do not have. After a brief discussion of the ramification of the SO(N) invariance to the D2-M2 brane dualities, we shall introduce an on-shell superfield framework for three-dimensional theories and end with a surprising hint of the existence of non-local symmetries for the S-matrix of the N=8 theory. |
hep-th/0502007 | Seok Kim | Seok Kim, Kimyeong Lee | BPS Electromagnetic Waves on Giant Gravitons | 25 pages, no figures, v2: references added | JHEP 0510 (2005) 111 | 10.1088/1126-6708/2005/10/111 | KIAS-P04057 | hep-th | null | We find new 1/8-BPS giant graviton solutions in $AdS_5 \times S^5$, carrying
three angular momenta along $S^5$, and investigate their properties.
Especially, we show that nonzero worldvolume gauge fields are admitted
preserving supersymmetry. These gauge field modes can be viewed as
electromagnetic waves along the compact D3 brane, whose Poynting vector
contributes to the BPS angular momenta. We also analyze the (nearly-)spherical
giant gravitons with worldvolume gauge fields in detail. Expressing the $S^3$
in Hopf fibration ($S^1$ fibred over $S^2$), the wave propagates along the
$S^1$ fiber.
| [
{
"created": "Tue, 1 Feb 2005 06:03:48 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2005 02:37:21 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Kim",
"Seok",
""
],
[
"Lee",
"Kimyeong",
""
]
] | We find new 1/8-BPS giant graviton solutions in $AdS_5 \times S^5$, carrying three angular momenta along $S^5$, and investigate their properties. Especially, we show that nonzero worldvolume gauge fields are admitted preserving supersymmetry. These gauge field modes can be viewed as electromagnetic waves along the compact D3 brane, whose Poynting vector contributes to the BPS angular momenta. We also analyze the (nearly-)spherical giant gravitons with worldvolume gauge fields in detail. Expressing the $S^3$ in Hopf fibration ($S^1$ fibred over $S^2$), the wave propagates along the $S^1$ fiber. |
1809.00009 | Tudor Dan Dimofte | Christopher Beem, David Ben-Zvi, Mathew Bullimore, Tudor Dimofte,
Andrew Neitzke | Secondary products in supersymmetric field theory | 74 pages, 14 figures | Annales Henri Poincare 21 (2020) 4, 1235-1310 | 10.1007/s00023-020-00888-3 | null | hep-th math.AG math.AT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The product of local operators in a topological quantum field theory in
dimension greater than one is commutative, as is more generally the product of
extended operators of codimension greater than one. In theories of
cohomological type these commutative products are accompanied by secondary
operations, which capture linking or braiding of operators, and behave as
(graded) Poisson brackets with respect to the primary product. We describe the
mathematical structures involved and illustrate this general phenomenon in a
range of physical examples arising from supersymmetric field theories in
spacetime dimension two, three, and four. In the Rozansky-Witten twist of
three-dimensional N=4 theories, this gives an intrinsic realization of the
holomorphic symplectic structure of the moduli space of vacua. We further give
a simple mathematical derivation of the assertion that introducing an
Omega-background precisely deformation quantizes this structure. We then study
the secondary product structure of extended operators, which subsumes that of
local operators but is often much richer. We calculate interesting cases of
secondary brackets of line operators in Rozansky-Witten theories and in
four-dimensional N=4 super Yang-Mills theories, measuring the noncommutativity
of the spherical category in the geometric Langlands program.
| [
{
"created": "Fri, 31 Aug 2018 18:00:02 GMT",
"version": "v1"
}
] | 2022-08-22 | [
[
"Beem",
"Christopher",
""
],
[
"Ben-Zvi",
"David",
""
],
[
"Bullimore",
"Mathew",
""
],
[
"Dimofte",
"Tudor",
""
],
[
"Neitzke",
"Andrew",
""
]
] | The product of local operators in a topological quantum field theory in dimension greater than one is commutative, as is more generally the product of extended operators of codimension greater than one. In theories of cohomological type these commutative products are accompanied by secondary operations, which capture linking or braiding of operators, and behave as (graded) Poisson brackets with respect to the primary product. We describe the mathematical structures involved and illustrate this general phenomenon in a range of physical examples arising from supersymmetric field theories in spacetime dimension two, three, and four. In the Rozansky-Witten twist of three-dimensional N=4 theories, this gives an intrinsic realization of the holomorphic symplectic structure of the moduli space of vacua. We further give a simple mathematical derivation of the assertion that introducing an Omega-background precisely deformation quantizes this structure. We then study the secondary product structure of extended operators, which subsumes that of local operators but is often much richer. We calculate interesting cases of secondary brackets of line operators in Rozansky-Witten theories and in four-dimensional N=4 super Yang-Mills theories, measuring the noncommutativity of the spherical category in the geometric Langlands program. |
hep-th/9705071 | Frank Ferrari | Frank Ferrari | Strong-weak coupling duality in non-abelian gauge theories | 97 pages, introductory part of a PhD thesis, in french; the very last
sentence erased | null | null | LPTENS-97/21 | hep-th | null | This is a general introduction to electric-magnetic duality in non-abelian
gauge theories. In chapter I, I review the general ideas which led in the late
70s to the idea of electric/magnetic duality in quantum field theory. In
chapters II and III, I focus mainly on N=2 supersymmetric theories. I present
the lagrangians and explain in more or less detail the non-renormalization
theorems, rigid special geometry, supersymmetric instanton calculus, charge
fractionization, the semiclassical theory of monopoles, duality in Maxwell
theory and the famous Seiberg-Witten solution. I discuss various physical
applications, as electric charge confinement, chiral symmetry breaking or
non-trivial superconformal theories in four dimensions. In Section II.3 new
material is presented, related to the computation of the eta invariant of
certain Dirac operators coupled minimally to non-trivial monopole field
configurations. I explain how these invariants can be obtained exactly by a
one-loop calculation in a suitable N=2 supersymmetric gauge theory. This is an
unexpected application of the holomorphy properties of N=2 supersymmetry, and
constitutes a tremendous simplification of the usual computation. An expanded
version of these new results will be published soon.
| [
{
"created": "Mon, 12 May 1997 11:47:01 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 1997 11:53:22 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Ferrari",
"Frank",
""
]
] | This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II and III, I focus mainly on N=2 supersymmetric theories. I present the lagrangians and explain in more or less detail the non-renormalization theorems, rigid special geometry, supersymmetric instanton calculus, charge fractionization, the semiclassical theory of monopoles, duality in Maxwell theory and the famous Seiberg-Witten solution. I discuss various physical applications, as electric charge confinement, chiral symmetry breaking or non-trivial superconformal theories in four dimensions. In Section II.3 new material is presented, related to the computation of the eta invariant of certain Dirac operators coupled minimally to non-trivial monopole field configurations. I explain how these invariants can be obtained exactly by a one-loop calculation in a suitable N=2 supersymmetric gauge theory. This is an unexpected application of the holomorphy properties of N=2 supersymmetry, and constitutes a tremendous simplification of the usual computation. An expanded version of these new results will be published soon. |
0802.2660 | K. Splittorff | K. Splittorff, J.J.M. Verbaarschot, M.R. Zirnbauer | Nonhermitian Supersymmetric Partition Functions: the case of one bosonic
flavor | 17 pages, 0 figures. Section II extended. Version to appear in
Nucl.Phys.B | Nucl.Phys.B803:381-404,2008 | 10.1016/j.nuclphysb.2008.06.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the supersymmetric formulation of the nonhermitian $\beta = 2$
random matrix partition function with one bosonic flavor. This partition
function is regularized by adding one conjugate boson and fermion each. A
supersymmetric nonlinear $\sigma$-model for the resulting Goldstone degrees of
freedom is obtained using symmetry arguments only. For a Gaussian probability
distribution the same results are derived using superbosonization and the
complex orthogonal polynomial method. The symmetry arguments apply to any model
with the same symmetries and a mass gap, and demonstrate the universality of
the nonlinear $\sigma$-model.
| [
{
"created": "Tue, 19 Feb 2008 14:51:45 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2008 13:51:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Splittorff",
"K.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
],
[
"Zirnbauer",
"M. R.",
""
]
] | We discuss the supersymmetric formulation of the nonhermitian $\beta = 2$ random matrix partition function with one bosonic flavor. This partition function is regularized by adding one conjugate boson and fermion each. A supersymmetric nonlinear $\sigma$-model for the resulting Goldstone degrees of freedom is obtained using symmetry arguments only. For a Gaussian probability distribution the same results are derived using superbosonization and the complex orthogonal polynomial method. The symmetry arguments apply to any model with the same symmetries and a mass gap, and demonstrate the universality of the nonlinear $\sigma$-model. |
2003.12076 | Ashoke Sen | Ashoke Sen | Divergent to Complex Amplitudes in Two Dimensional String Theory | LaTeX, 14 pages | null | 10.1007/JHEP02(2021)086 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement
between the one instanton contribution to the scattering amplitudes of two
dimensional string theory and those in the matrix model to the first subleading
order. The comparison was carried out numerically by analytically continuing
the external energies to imaginary values, since for real energies the string
theory result diverges. We use insights from string field theory to give finite
expressions for the string theory amplitudes for real energies. We also show
analytically that the imaginary parts of the string theory amplitudes computed
this way reproduce the full matrix model results for general scattering
amplitudes involving multiple closed strings.
| [
{
"created": "Thu, 26 Mar 2020 18:00:09 GMT",
"version": "v1"
}
] | 2021-03-17 | [
[
"Sen",
"Ashoke",
""
]
] | In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The comparison was carried out numerically by analytically continuing the external energies to imaginary values, since for real energies the string theory result diverges. We use insights from string field theory to give finite expressions for the string theory amplitudes for real energies. We also show analytically that the imaginary parts of the string theory amplitudes computed this way reproduce the full matrix model results for general scattering amplitudes involving multiple closed strings. |
1306.4484 | Darius Jurciukonis | D. Jurciukonis, E. Norvaisas | On quantization of the SU(2) Skyrmions | 5 pages, 2 figures. In Physics Letters B, 2013 | null | 10.1016/j.physletb.2013.06.041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are two known approaches for quantizing the SU(2) Skyrme model, the
semiclassical and canonical quantization. The semiclassical approach does not
take into account the non-commutativity of velocity of quantum coordinates and
the stability of the semiclassical soliton is conveniently ensured by the
symmetry breaking term. The canonical quantum approach leads to quantum mass
correction that is not obtained in the semiclassical approach. In this letter
we argue that these two approaches are not equivalent and lead to different
results. We show that the resulting profile functions have the same asymptotic
behaviour, however their shape in the region close to the origin is different.
| [
{
"created": "Wed, 19 Jun 2013 10:50:57 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Jurciukonis",
"D.",
""
],
[
"Norvaisas",
"E.",
""
]
] | There are two known approaches for quantizing the SU(2) Skyrme model, the semiclassical and canonical quantization. The semiclassical approach does not take into account the non-commutativity of velocity of quantum coordinates and the stability of the semiclassical soliton is conveniently ensured by the symmetry breaking term. The canonical quantum approach leads to quantum mass correction that is not obtained in the semiclassical approach. In this letter we argue that these two approaches are not equivalent and lead to different results. We show that the resulting profile functions have the same asymptotic behaviour, however their shape in the region close to the origin is different. |
1604.00026 | Olaf Lechtenfeld | Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian | Spherical Calogero model with oscillator/Coulomb potential: classical
case | 11 pages, no figures | Phys. Rev. D 93, 125008 (2016) | 10.1103/PhysRevD.93.125008 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the Hamiltonians and symmetry generators of Calogero-oscillator
and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model
reduction approach. Our method also produces the integrable
Calogero-Coulomb-Stark model on the sphere and proves the integrability of the
spin extensions of all these systems.
| [
{
"created": "Thu, 31 Mar 2016 20:00:53 GMT",
"version": "v1"
}
] | 2016-06-15 | [
[
"Correa",
"Francisco",
""
],
[
"Hakobyan",
"Tigran",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Nersessian",
"Armen",
""
]
] | We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems. |
hep-th/9903250 | Francisco J. Plaza Martin | J. M. Mu\~noz Porras, F. J. Plaza Mart\'in | Automorphism Group of $k((t))$: Applications to the Bosonic String | 29 pages | Commun.Math.Phys. 216 (2001) 609-634 | 10.1007/s002200000358 | null | hep-th math.AG | null | This paper is concerned with the formulation of a non-pertubative theory of
the bosonic string. We introduce a formal group $G$ which we propose as the
``universal moduli space'' for such a formulation. This is motivated because
$G$ establishes a natural link between representations of the Virasoro algebra
and the moduli space of curves. Among other properties of $G$ it is shown that
a ``local'' version of the Mumford formula holds on $G$.
| [
{
"created": "Tue, 30 Mar 1999 11:08:30 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Porras",
"J. M. Muñoz",
""
],
[
"Martín",
"F. J. Plaza",
""
]
] | This paper is concerned with the formulation of a non-pertubative theory of the bosonic string. We introduce a formal group $G$ which we propose as the ``universal moduli space'' for such a formulation. This is motivated because $G$ establishes a natural link between representations of the Virasoro algebra and the moduli space of curves. Among other properties of $G$ it is shown that a ``local'' version of the Mumford formula holds on $G$. |
2403.20099 | Alexei Yung | A. Yung | Flowing Between String Vacua for the Critical Non-Abelian Vortex with
Deformation of N=2 Liouville theory | 35 pages, no figures,v2: few clarifications added, accepted to Phys.
Rev. D | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | It has been shown that non-Abelian solitonic vortex string supported in
four-dimensional (4D) N=2 supersymmetric QCD (SQCD) with the U(2) gauge group
and $N_f=4$ quark flavors becomes a critical superstring. This string
propagates in the ten-dimensional space formed by a product of the flat 4D
space and an internal space given by a Calabi-Yau noncompact threefold, namely,
the conifold. The spectrum of low lying closed string states was found and
interpreted as a spectrum of hadrons in 4D N=2 SQCD. In particular, the lowest
string state appears to be a massless BPS baryon associated with the
deformation of the complex structure modulus $b$ of the conifold. It was
recently shown that the Coulomb branch of the associated string sigma model
which opens up at strong coupling can be described by N=2 Liouville theory.
Building on these results we switch on quark masses in 4D N=2 SQCD and study
the interpolation of the initial U(2) SQCD with $N_f=4$ quarks to the final
SQCD with the U(4) gauge group and $N_f=8$ quarks. To find the true string
vacuum which arises due to the mass deformation we solve the effective
supergravity equations of motion associated with the deformed world sheet
Liouville theory. We show that the massless BPS baryon $b$ survives the
deformation and that finding of the spectrum of low lying massive hadrons in
the final SQCD is linked to the Calogero problem.
| [
{
"created": "Fri, 29 Mar 2024 10:26:28 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2024 08:52:11 GMT",
"version": "v2"
}
] | 2024-06-17 | [
[
"Yung",
"A.",
""
]
] | It has been shown that non-Abelian solitonic vortex string supported in four-dimensional (4D) N=2 supersymmetric QCD (SQCD) with the U(2) gauge group and $N_f=4$ quark flavors becomes a critical superstring. This string propagates in the ten-dimensional space formed by a product of the flat 4D space and an internal space given by a Calabi-Yau noncompact threefold, namely, the conifold. The spectrum of low lying closed string states was found and interpreted as a spectrum of hadrons in 4D N=2 SQCD. In particular, the lowest string state appears to be a massless BPS baryon associated with the deformation of the complex structure modulus $b$ of the conifold. It was recently shown that the Coulomb branch of the associated string sigma model which opens up at strong coupling can be described by N=2 Liouville theory. Building on these results we switch on quark masses in 4D N=2 SQCD and study the interpolation of the initial U(2) SQCD with $N_f=4$ quarks to the final SQCD with the U(4) gauge group and $N_f=8$ quarks. To find the true string vacuum which arises due to the mass deformation we solve the effective supergravity equations of motion associated with the deformed world sheet Liouville theory. We show that the massless BPS baryon $b$ survives the deformation and that finding of the spectrum of low lying massive hadrons in the final SQCD is linked to the Calogero problem. |
hep-th/9402124 | null | Marcelo R. Ubriaco | Complex $q$-Analysis and Scalar Field Theory on a $q$-Lattice | 15 pages, LATEX, LTP-042-UPR | Mod.Phys.Lett.A9:1121-1130,1994 | 10.1142/S0217732394000939 | null | hep-th | null | We develop the basic formalism of complex $q$-analysis to study the solutions
of second order $q$-difference equations which reduce, in the $q\rightarrow 1$
limit, to the ordinary Laplace equation in Euclidean and Minkowski space. After
defining an inner product on the function space we construct and study the
properties of the solutions, and then apply this formalism to the
Schr\"{o}dinger equation and two-dimensional scalar field theory.
| [
{
"created": "Tue, 22 Feb 1994 18:28:00 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Ubriaco",
"Marcelo R.",
""
]
] | We develop the basic formalism of complex $q$-analysis to study the solutions of second order $q$-difference equations which reduce, in the $q\rightarrow 1$ limit, to the ordinary Laplace equation in Euclidean and Minkowski space. After defining an inner product on the function space we construct and study the properties of the solutions, and then apply this formalism to the Schr\"{o}dinger equation and two-dimensional scalar field theory. |
hep-th/9503198 | Jean-Loup Gervais | E. Cremmer, J.-L. Gervais, J. Schnittger | Operator Coproduct-Realization of Quantum Group Transformations in Two
Dimensional Gravity, I. | 33 pages, latex, no figures | Commun.Math.Phys. 178 (1996) 147 | 10.1007/BF02104913 | CERN-TH/95-48, LPTENS-95/11 | hep-th math.QA q-alg | null | A simple connection between the universal $R$ matrix of $U_q(sl(2))$ (for
spins $\demi$ and $J$) and the required form of the co-product action of the
Hilbert space generators of the quantum group symmetry is put forward. This
gives an explicit operator realization of the co-product action on the
covariant operators. It allows us to derive the quantum group covariance of the
fusion and braiding matrices, although it is of a new type: the generators
depend upon worldsheet variables, and obey a new central extension of
$U_q(sl(2))$ realized by (what we call) fixed point commutation relations. This
is explained by showing that the link between the algebra of field
transformations and that of the co-product generators is much weaker than
previously thought. The central charges of our extended $U_q(sl(2))$ algebra,
which includes the Liouville zero-mode momentum in a nontrivial way are related
to Virasoro-descendants of unity. We also show how our approach can be used to
derive the Hopf algebra structure of the extended quantum-group symmetry
$U_q(sl(2))\odot U_{\qhat}(sl(2))$ related to the presence of both of the
screening charges of 2D gravity.
| [
{
"created": "Tue, 28 Mar 1995 14:01:24 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Cremmer",
"E.",
""
],
[
"Gervais",
"J. -L.",
""
],
[
"Schnittger",
"J.",
""
]
] | A simple connection between the universal $R$ matrix of $U_q(sl(2))$ (for spins $\demi$ and $J$) and the required form of the co-product action of the Hilbert space generators of the quantum group symmetry is put forward. This gives an explicit operator realization of the co-product action on the covariant operators. It allows us to derive the quantum group covariance of the fusion and braiding matrices, although it is of a new type: the generators depend upon worldsheet variables, and obey a new central extension of $U_q(sl(2))$ realized by (what we call) fixed point commutation relations. This is explained by showing that the link between the algebra of field transformations and that of the co-product generators is much weaker than previously thought. The central charges of our extended $U_q(sl(2))$ algebra, which includes the Liouville zero-mode momentum in a nontrivial way are related to Virasoro-descendants of unity. We also show how our approach can be used to derive the Hopf algebra structure of the extended quantum-group symmetry $U_q(sl(2))\odot U_{\qhat}(sl(2))$ related to the presence of both of the screening charges of 2D gravity. |
hep-th/9604048 | Sayan Kar | Sayan Kar | Generalised Raychaudhuri equations for strings in the presence of an
antisymmetric tensor field | Revtex 3.0, 13 pages, no figures | Phys.Rev. D54 (1996) 6408-6412 | 10.1103/PhysRevD.54.6408 | IP--BBSR--96/21 | hep-th gr-qc | null | The generalised Raychaudhuri equations derived by Capovilla and Guven are
exclusively for extremal, timelike Nambu--Goto membranes. In this article, we
construct the corresponding equations for string world--sheets in the presence
of a background Kalb--Ramond field. We analyse the full set of equations by
concentrating on special cases in which the generalised shear or the
generalised rotation or both are set to zero. If only the generalised shear is
set to zero then it is possible to identify the components of the generalised
rotation with the projections of the field strength of the Kalb--Ramond
potential.
| [
{
"created": "Mon, 8 Apr 1996 15:12:49 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kar",
"Sayan",
""
]
] | The generalised Raychaudhuri equations derived by Capovilla and Guven are exclusively for extremal, timelike Nambu--Goto membranes. In this article, we construct the corresponding equations for string world--sheets in the presence of a background Kalb--Ramond field. We analyse the full set of equations by concentrating on special cases in which the generalised shear or the generalised rotation or both are set to zero. If only the generalised shear is set to zero then it is possible to identify the components of the generalised rotation with the projections of the field strength of the Kalb--Ramond potential. |
1512.03598 | Michael M. Scherer | Jan M. Pawlowski, Michael M. Scherer, Richard Schmidt, Sebastian J.
Wetzel | Physics and the choice of regulators in functional renormalisation group
flows | 22 pages, 16 figures | null | null | null | hep-th cond-mat.quant-gas cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Renormalisation Group is a versatile tool for the study of many systems
where scale-dependent behaviour is important. Its functional formulation can be
cast into the form of an exact flow equation for the scale-dependent effective
action in the presence of an infrared regularisation. The functional RG flow
for the scale-dependent effective action depends explicitly on the choice of
regulator, while the physics does not. In this work, we systematically
investigate three key aspects of how the regulator choice affects RG flows: (i)
We study flow trajectories along closed loops in the space of action
functionals varying both, the regulator scale and shape function. Such a flow
does not vanish in the presence of truncations. Based on a definition of the
length of an RG trajectory, we suggest a practical procedure for devising
optimised regularisation schemes within a truncation. (ii) In systems with
various field variables, a choice of relative cutoff scales is required. At the
example of relativistic bosonic two-field models, we study the impact of this
choice as well as its truncation dependence. We show that a crossover between
different universality classes can be induced and conclude that the relative
cutoff scale has to be chosen carefully for a reliable description of a
physical system. (iii) Non-relativistic continuum models of coupled fermionic
and bosonic fields exhibit also dependencies on relative cutoff scales and
regulator shapes. At the example of the Fermi polaron problem in three spatial
dimensions, we illustrate such dependencies and show how they can be
interpreted in physical terms.
| [
{
"created": "Fri, 11 Dec 2015 11:04:14 GMT",
"version": "v1"
}
] | 2015-12-14 | [
[
"Pawlowski",
"Jan M.",
""
],
[
"Scherer",
"Michael M.",
""
],
[
"Schmidt",
"Richard",
""
],
[
"Wetzel",
"Sebastian J.",
""
]
] | The Renormalisation Group is a versatile tool for the study of many systems where scale-dependent behaviour is important. Its functional formulation can be cast into the form of an exact flow equation for the scale-dependent effective action in the presence of an infrared regularisation. The functional RG flow for the scale-dependent effective action depends explicitly on the choice of regulator, while the physics does not. In this work, we systematically investigate three key aspects of how the regulator choice affects RG flows: (i) We study flow trajectories along closed loops in the space of action functionals varying both, the regulator scale and shape function. Such a flow does not vanish in the presence of truncations. Based on a definition of the length of an RG trajectory, we suggest a practical procedure for devising optimised regularisation schemes within a truncation. (ii) In systems with various field variables, a choice of relative cutoff scales is required. At the example of relativistic bosonic two-field models, we study the impact of this choice as well as its truncation dependence. We show that a crossover between different universality classes can be induced and conclude that the relative cutoff scale has to be chosen carefully for a reliable description of a physical system. (iii) Non-relativistic continuum models of coupled fermionic and bosonic fields exhibit also dependencies on relative cutoff scales and regulator shapes. At the example of the Fermi polaron problem in three spatial dimensions, we illustrate such dependencies and show how they can be interpreted in physical terms. |
2107.07151 | Charles Thull | Joseph Minahan, Usman Naseer and Charles Thull | Squashing and supersymmetry enhancement in three dimensions | 15+9 pages | SciPost Phys. 12, 025 (2022) | 10.21468/SciPostPhys.12.1.025 | UUITP-30/21 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider mass-deformed theories with ${\cal N}\geq2$ supersymmetry on
round and squashed three-spheres. By embedding the supersymmetric backgrounds
in extended supergravity we show that at special values of mass deformations
the supersymmetry is enhanced on the squashed spheres. When the $3d$ partition
function can be obtained by a limit of a $4d$ index we also show that for these
special mass deformations only the states annihilated by extra supercharges
contribute to the index. By using an equivalence between partition functions on
squashed spheres and ellipsoids, we explain the recently observed squashing
independence of the partition function of mass-deformed ABJ(M) theory on the
ellipsoid. We provide further examples of such simplification for various $3d$
supersymmetric theories.
| [
{
"created": "Thu, 15 Jul 2021 06:43:18 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2021 16:06:30 GMT",
"version": "v2"
}
] | 2022-01-19 | [
[
"Minahan",
"Joseph",
""
],
[
"Naseer",
"Usman",
""
],
[
"Thull",
"Charles",
""
]
] | We consider mass-deformed theories with ${\cal N}\geq2$ supersymmetry on round and squashed three-spheres. By embedding the supersymmetric backgrounds in extended supergravity we show that at special values of mass deformations the supersymmetry is enhanced on the squashed spheres. When the $3d$ partition function can be obtained by a limit of a $4d$ index we also show that for these special mass deformations only the states annihilated by extra supercharges contribute to the index. By using an equivalence between partition functions on squashed spheres and ellipsoids, we explain the recently observed squashing independence of the partition function of mass-deformed ABJ(M) theory on the ellipsoid. We provide further examples of such simplification for various $3d$ supersymmetric theories. |
1112.2831 | Peggy Kouroumalou | P. Kouroumalou | Six-Dimensional Jordan Supergravity Models | Based on talk given at StringMath 2011, Philadelphia, PA, 8 pages, no
figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of six-dimensional supergravity there is a special class of
parent models for five-dimensional theories defined by the four Euclidean
simple Jordan algebras of degree 3. We extend this result to include six-
dimensional parent models for three infinite families of five-dimensional
theories defined by Minkowskian Jordan algebras. Connections of the
six-dimensional models to F-theory constructions are constrained by anomaly
cancellation conditions and the structure of the six-dimensional theory gauge
group.
| [
{
"created": "Tue, 13 Dec 2011 09:31:46 GMT",
"version": "v1"
}
] | 2011-12-14 | [
[
"Kouroumalou",
"P.",
""
]
] | In the context of six-dimensional supergravity there is a special class of parent models for five-dimensional theories defined by the four Euclidean simple Jordan algebras of degree 3. We extend this result to include six- dimensional parent models for three infinite families of five-dimensional theories defined by Minkowskian Jordan algebras. Connections of the six-dimensional models to F-theory constructions are constrained by anomaly cancellation conditions and the structure of the six-dimensional theory gauge group. |
hep-th/0309107 | Tassilo Ott | Tassilo Ott | Aspects of Stability and Phenomenology in Type IIA Orientifolds with
Intersecting D6-branes | 171 pages, PhD thesis, ref. added | Fortsch.Phys.52:28-137,2004 | 10.1002/prop.200410118 | HU-EP-03/59 | hep-th | null | Intersecting branes have been the subject of string model building for
several years. This work introduces in detail the toroidal and
Z_N-orientifolds, where the main discussion employs the picture of intersecting
D6-branes. The derivation of the R-R and NS-NS tadpole cancellation conditions
in CFT is shown in detail. Various aspects of the massless spectrum are
discussed, involving spacetime anomalies, the generalized Green-Schwarz
mechanism and possible gauge breaking mechanisms. Both N=1 SUSY and non-SUSY
approaches to low energy model building are treated. Firstly, the problem of
complex structure instabilities in toroidal OmegaR-orientifolds is approached
by a Z_3-orbifolded model, including a stable non-SUSY 3-generation
standard-like model. It descends naturally from a flipped SU(5) GUT. Secondly,
supersymmetric models on the Z_4-orbifold are discussed, involving exceptional
3-cycles and the explicit construction of fractional D-branes. A three
generation Pati-Salam model that even can be broken down to a MSSM-like model
is constructed as an example, involving non-flat and non-factorizable branes.
Finally, the possibility that unstable closed and open string moduli could play
the role of the inflaton is being explored. In the closed string sector, the
slow-rolling requirement can only be fulfilled for very specific cases, where
some moduli are frozen and a special choice of coordinates is taken. In the
open string sector, inflation is not possible at all.
| [
{
"created": "Wed, 10 Sep 2003 17:34:42 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Nov 2003 16:45:06 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Ott",
"Tassilo",
""
]
] | Intersecting branes have been the subject of string model building for several years. This work introduces in detail the toroidal and Z_N-orientifolds, where the main discussion employs the picture of intersecting D6-branes. The derivation of the R-R and NS-NS tadpole cancellation conditions in CFT is shown in detail. Various aspects of the massless spectrum are discussed, involving spacetime anomalies, the generalized Green-Schwarz mechanism and possible gauge breaking mechanisms. Both N=1 SUSY and non-SUSY approaches to low energy model building are treated. Firstly, the problem of complex structure instabilities in toroidal OmegaR-orientifolds is approached by a Z_3-orbifolded model, including a stable non-SUSY 3-generation standard-like model. It descends naturally from a flipped SU(5) GUT. Secondly, supersymmetric models on the Z_4-orbifold are discussed, involving exceptional 3-cycles and the explicit construction of fractional D-branes. A three generation Pati-Salam model that even can be broken down to a MSSM-like model is constructed as an example, involving non-flat and non-factorizable branes. Finally, the possibility that unstable closed and open string moduli could play the role of the inflaton is being explored. In the closed string sector, the slow-rolling requirement can only be fulfilled for very specific cases, where some moduli are frozen and a special choice of coordinates is taken. In the open string sector, inflation is not possible at all. |
hep-th/0211132 | Zoltan Bajnok | Z. Bajnok, L. Palla, G. Takacs | Boundary sine-Gordon model | 15 pages, 7 eps figures, Talk presented at 'Workshop on Integrable
Theories, Solitons and Duality', 1-6 July 2002, Sao Paulo, Brazil | null | null | null | hep-th | null | We review our recent results on the on-shell description of sine-Gordon model
with integrable boundary conditions. We determined the spectrum of boundary
states together with their reflection factors by closing the boundary bootstrap
and checked these results against WKB quantization and numerical finite volume
spectra obtained from the truncated conformal space approach. The relation
between a boundary resonance state and the semiclassical instability of a
static classical solution is analyzed in detail.
| [
{
"created": "Thu, 14 Nov 2002 11:34:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bajnok",
"Z.",
""
],
[
"Palla",
"L.",
""
],
[
"Takacs",
"G.",
""
]
] | We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states together with their reflection factors by closing the boundary bootstrap and checked these results against WKB quantization and numerical finite volume spectra obtained from the truncated conformal space approach. The relation between a boundary resonance state and the semiclassical instability of a static classical solution is analyzed in detail. |
hep-th/0403042 | Jose Francisco Gomes | I. Cabrera-Carnero, J.F. Gomes, G.M. Sotkov and A.H. Zimerman | Vertex Operators and Soliton Solutions of Affine Toda Model with U(2)
Symmetry | 17 pages, latex, misprints corrected, version to appear in J.Phys A | J.Phys.A37:6375-6390,2004 | 10.1088/0305-4470/37/24/013 | null | hep-th | null | The symmetry structure of non-abelian affine Toda model based on the coset
$SL(3)/SL(2)\otimes U(1)$ is studied. It is shown that the model possess
non-abelian Noether symmetry closing into a q-deformed $SL(2)\otimes U(1)$
algebra. Specific two vertex soliton solutions are constructed.
| [
{
"created": "Wed, 3 Mar 2004 12:59:43 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2004 13:20:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cabrera-Carnero",
"I.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | The symmetry structure of non-abelian affine Toda model based on the coset $SL(3)/SL(2)\otimes U(1)$ is studied. It is shown that the model possess non-abelian Noether symmetry closing into a q-deformed $SL(2)\otimes U(1)$ algebra. Specific two vertex soliton solutions are constructed. |
hep-th/0603230 | Francisco A. Brito | V.I. Afonso, D. Bazeia, F.A. Brito | Deforming tachyon kinks and tachyon potentials | To appear in JHEP, 19 pages, 5 eps figures, minor changes and one
reference added | JHEP0608:073,2006 | 10.1088/1126-6708/2006/08/073 | null | hep-th | null | In this paper we investigate deformation of tachyon potentials and tachyon
kink solutions. We consider the deformation of a DBI type action with gauge and
tachyon fields living on D1-brane and D3-brane world-volume. We deform tachyon
potentials to get other consistent tachyon potentials by using properly a
deformation function depending on the gauge field components. Resolutions of
singular tachyon kinks via deformation and applications of deformed tachyon
potentials to scalar cosmology scenario are discussed.
| [
{
"created": "Wed, 29 Mar 2006 18:40:55 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Apr 2006 18:21:58 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Jul 2006 22:39:28 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Afonso",
"V. I.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Brito",
"F. A.",
""
]
] | In this paper we investigate deformation of tachyon potentials and tachyon kink solutions. We consider the deformation of a DBI type action with gauge and tachyon fields living on D1-brane and D3-brane world-volume. We deform tachyon potentials to get other consistent tachyon potentials by using properly a deformation function depending on the gauge field components. Resolutions of singular tachyon kinks via deformation and applications of deformed tachyon potentials to scalar cosmology scenario are discussed. |
hep-th/0211057 | Maslanka | Piotr Kosinski, Pawel Maslanka | On the definition of velocity in doubly special relativity theories | 7 pages | Phys.Rev. D68 (2003) 067702 | 10.1103/PhysRevD.68.067702 | null | hep-th | null | We discuss the definition of particle velocity in doubly relativity theories.
The general formula relating velocity and four-momentum of particle is given.
| [
{
"created": "Thu, 7 Nov 2002 12:23:24 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Nov 2002 12:12:09 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kosinski",
"Piotr",
""
],
[
"Maslanka",
"Pawel",
""
]
] | We discuss the definition of particle velocity in doubly relativity theories. The general formula relating velocity and four-momentum of particle is given. |
1612.00462 | Alejandro Morales | David M. Jackson and Achim Kempf and Alejandro H. Morales | A robust generalization of the Legendre transform for QFT | 13 pages, 5 figures | Journal of Physics A: Mathematical and Theoretical, Volume 50,
Number 22, 2017 | 10.1088/1751-8121/aa6abb | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Although perturbative quantum field theory is highly successful, it possesses
a number of well-known analytic problems, from ultraviolet and infrared
divergencies to the divergence of the perturbative expansion itself. As a
consequence, it has been difficult, for example, to prove with full rigor that
the Legendre transform of the quantum effective action is the generating
functional of connected graphs. Here, we give a rigorous proof of this central
fact. To this end, we show that the Legendre transform can be re-defined purely
combinatorially and that it ultimately reduces to a simple homological
relation, the Euler characteristic for tree graphs. This result suggests that,
similarly, also the quantum field theoretic path integral, being a Fourier
transform, may be reducible to an underlying purely algebraic structure.
| [
{
"created": "Thu, 1 Dec 2016 21:00:24 GMT",
"version": "v1"
},
{
"created": "Wed, 31 May 2017 05:15:34 GMT",
"version": "v2"
}
] | 2017-06-01 | [
[
"Jackson",
"David M.",
""
],
[
"Kempf",
"Achim",
""
],
[
"Morales",
"Alejandro H.",
""
]
] | Although perturbative quantum field theory is highly successful, it possesses a number of well-known analytic problems, from ultraviolet and infrared divergencies to the divergence of the perturbative expansion itself. As a consequence, it has been difficult, for example, to prove with full rigor that the Legendre transform of the quantum effective action is the generating functional of connected graphs. Here, we give a rigorous proof of this central fact. To this end, we show that the Legendre transform can be re-defined purely combinatorially and that it ultimately reduces to a simple homological relation, the Euler characteristic for tree graphs. This result suggests that, similarly, also the quantum field theoretic path integral, being a Fourier transform, may be reducible to an underlying purely algebraic structure. |
1810.00442 | Glenn Barnich | Glenn Barnich and Fabrizio Del Monte | Introduction to Classical Gauge Field Theory and to Batalin-Vilkovisky
Quantization | 49 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lectures held at the 22nd "Saalburg" Summer School (2016)
| [
{
"created": "Sun, 30 Sep 2018 18:37:07 GMT",
"version": "v1"
}
] | 2018-10-02 | [
[
"Barnich",
"Glenn",
""
],
[
"Del Monte",
"Fabrizio",
""
]
] | Lectures held at the 22nd "Saalburg" Summer School (2016) |
1808.04344 | Fedor Popov | Simone Giombi, Igor R. Klebanov, Fedor Popov, Shiroman Prakash,
Grigory Tarnopolsky | Prismatic Large $N$ Models for Bosonic Tensors | 37 pages, 13 figures, v2: version which appeared in Physical Review D | Phys. Rev. D 98, 105005 (2018) | 10.1103/PhysRevD.98.105005 | PUPT-2568 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the $O(N)^3$ symmetric quantum field theory of a bosonic tensor
$\phi^{abc}$ with sextic interactions. Its large $N$ limit is dominated by a
positive-definite operator, whose index structure has the topology of a prism.
We present a large $N$ solution of the model using Schwinger-Dyson equations to
sum the leading diagrams, finding that for $2.81 < d < 3$ and for $d<1.68$ the
spectrum of bilinear operators has no complex scaling dimensions. We also
develop perturbation theory in $3-\epsilon$ dimensions including eight $O(N)^3$
invariant operators necessary for the renormalizability. For sufficiently large
$N$, we find a "prismatic" fixed point of the renormalization group, where all
eight coupling constants are real. The large $N$ limit of the resulting
$\epsilon$ expansions of various operator dimensions agrees with the
Schwinger-Dyson equations. Furthermore, the $\epsilon$ expansion allows us to
calculate the $1/N$ corrections to operator dimensions. The prismatic fixed
point in $3-\epsilon$ dimensions survives down to $N\approx 53.65$, where it
merges with another fixed point and becomes complex. We also discuss the $d=1$
model where our approach gives a slightly negative scaling dimension for
$\phi$, while the spectrum of bilinear operators is free of complex dimensions.
| [
{
"created": "Mon, 13 Aug 2018 17:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2019 16:50:09 GMT",
"version": "v2"
}
] | 2019-08-22 | [
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Popov",
"Fedor",
""
],
[
"Prakash",
"Shiroman",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] | We study the $O(N)^3$ symmetric quantum field theory of a bosonic tensor $\phi^{abc}$ with sextic interactions. Its large $N$ limit is dominated by a positive-definite operator, whose index structure has the topology of a prism. We present a large $N$ solution of the model using Schwinger-Dyson equations to sum the leading diagrams, finding that for $2.81 < d < 3$ and for $d<1.68$ the spectrum of bilinear operators has no complex scaling dimensions. We also develop perturbation theory in $3-\epsilon$ dimensions including eight $O(N)^3$ invariant operators necessary for the renormalizability. For sufficiently large $N$, we find a "prismatic" fixed point of the renormalization group, where all eight coupling constants are real. The large $N$ limit of the resulting $\epsilon$ expansions of various operator dimensions agrees with the Schwinger-Dyson equations. Furthermore, the $\epsilon$ expansion allows us to calculate the $1/N$ corrections to operator dimensions. The prismatic fixed point in $3-\epsilon$ dimensions survives down to $N\approx 53.65$, where it merges with another fixed point and becomes complex. We also discuss the $d=1$ model where our approach gives a slightly negative scaling dimension for $\phi$, while the spectrum of bilinear operators is free of complex dimensions. |
1303.3317 | Thomas Grimm | Thomas W. Grimm, Raffaele Savelli, Matthias Weissenbacher | On \alpha' corrections in N=1 F-theory compactifications | 8 pages, revtex, v4: major revision. The reduction of recently found
higher curvature terms showed that the previously presented Ansatz for the
Kahler coordinates was not general enough. Details of the reduction appear in
a follow-up work | null | 10.1016/j.physletb.2013.07.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider N=1 F-theory and Type IIB orientifold compactifications and
derive new \alpha' corrections to the four-dimensional effective action. They
originate from higher derivative corrections to eleven-dimensional supergravity
and survive the M-theory to F-theory limit. We find a correction to the Kahler
moduli depending on a non-trivial intersection curve of seven-branes. We also
analyze a four-dimensional higher curvature correction.
| [
{
"created": "Thu, 14 Mar 2013 00:24:39 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2013 18:46:18 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Apr 2013 16:16:44 GMT",
"version": "v3"
},
{
"created": "Wed, 23 Oct 2013 18:17:01 GMT",
"version": "v4"
}
] | 2015-06-15 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Savelli",
"Raffaele",
""
],
[
"Weissenbacher",
"Matthias",
""
]
] | We consider N=1 F-theory and Type IIB orientifold compactifications and derive new \alpha' corrections to the four-dimensional effective action. They originate from higher derivative corrections to eleven-dimensional supergravity and survive the M-theory to F-theory limit. We find a correction to the Kahler moduli depending on a non-trivial intersection curve of seven-branes. We also analyze a four-dimensional higher curvature correction. |
hep-th/9605057 | null | Seiji Mukaigawa (Hiroshima U.) and Hiroyuki Takata (KEK Theory group
and Hiroshima U.) | One loop renormalization of the 4-D Quantum Dilaton Gravity in Spherical
symmetric background | 7 pages, latex, no figures. This paper also available at HUPD-9609 | Prog.Theor.Phys.96:469-474,1996 | 10.1143/PTP.96.469 | null | hep-th | null | We study the one loop renormalization in the most general metric-dilaton
theory with second derivative only. In constant background dilaton theory,
there are two types of gravity background which enable the theory
renormalizable at one-loop level. We show this concretely to discuss on the
spherical symmetric background.
| [
{
"created": "Wed, 8 May 1996 15:27:19 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Mukaigawa",
"Seiji",
"",
"Hiroshima U."
],
[
"Takata",
"Hiroyuki",
"",
"KEK Theory group\n and Hiroshima U."
]
] | We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop level. We show this concretely to discuss on the spherical symmetric background. |
0812.1576 | Hari Kunduri | Hari K. Kunduri, James Lucietti | Uniqueness of near-horizon geometries of rotating extremal AdS(4) black
holes | 18 pages, Latex. v2: footnote added on pg. 12. v3: assumption of
non-toroidal horizon topology made explicit, minor clarifications | Class.Quant.Grav.26:055019,2009 | 10.1088/0264-9381/26/5/055019 | DAMTP-2008-114, DCPT-08/67 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider stationary extremal black hole solutions of the Einstein-Maxwell
equations with a negative cosmological constant in four dimensions. We
determine all non-static axisymmetric near-horizon geometries (with
non-toroidal horizon topology) and all static near-horizon geometries for black
holes of this kind. This allows us to deduce that the most general near-horizon
geometry of an asymptotically globally AdS(4) rotating extremal black hole, is
the near-horizon limit of extremal Kerr-Newman-AdS(4). We also identify the
subset of near-horizon geometries which are supersymmetric. Finally, we show
which physical quantities of extremal black holes may be computed from the
near-horizon limit alone, and point out a simple formula for the entropy of the
known supersymmetric AdS(4) black hole. Analogous results are presented in the
case of vanishing cosmological constant.
| [
{
"created": "Tue, 9 Dec 2008 11:54:35 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 2009 15:15:26 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jul 2009 15:55:10 GMT",
"version": "v3"
}
] | 2009-07-09 | [
[
"Kunduri",
"Hari K.",
""
],
[
"Lucietti",
"James",
""
]
] | We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries (with non-toroidal horizon topology) and all static near-horizon geometries for black holes of this kind. This allows us to deduce that the most general near-horizon geometry of an asymptotically globally AdS(4) rotating extremal black hole, is the near-horizon limit of extremal Kerr-Newman-AdS(4). We also identify the subset of near-horizon geometries which are supersymmetric. Finally, we show which physical quantities of extremal black holes may be computed from the near-horizon limit alone, and point out a simple formula for the entropy of the known supersymmetric AdS(4) black hole. Analogous results are presented in the case of vanishing cosmological constant. |
1503.06196 | Predrag Dominis Prester | Maro Cvitan, Predrag Dominis Prester, Silvio Pallua, Ivica Smoli\'c,
Tamara \v{S}temberga | Parity-odd surface anomalies and correlation functions on conical
defects | 13 pages, v2: references updated , v3: exact expression for
parity-odd conical surface trace anomaly added, small improvements | null | null | ZTF-EP-15-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the parity-odd ("type P") surface anomalies of the energy-momentum
tensor correlators in conformal field theories, with an emphasis on d=4 and d=3
dimensional spacetimes. Using cohomology analysis we construct the expression
for the most general P-type surface trace anomaly on a singular 2-dimensional
surface in 4-dimensional bulk spacetimes. As an important example, we
specialise to the case when the singular surface is a conical defect and show
that the bulk P-type Pontryagin trace anomaly induces such a surface trace
anomaly. We show that this conical type P surface trace anomaly is given purely
by the outer curvature tensor. In addition, we analyse parity-odd surface
contact terms in energy-momentum tensor correlators in the flat spacetime
induced by the conical defect by studying two special cases in which the
contact terms are induced by, (1) type P trace anomaly in d=4 and, (2)
gravitational Chern-Simons Lagrangian term in d=3 spacetime dimensions. In both
cases we show that the surface contact terms appear in correlators of the lower
rank than the corresponding bulk surface terms.
| [
{
"created": "Fri, 20 Mar 2015 19:12:26 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2015 12:10:22 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2015 19:55:59 GMT",
"version": "v3"
}
] | 2015-12-02 | [
[
"Cvitan",
"Maro",
""
],
[
"Prester",
"Predrag Dominis",
""
],
[
"Pallua",
"Silvio",
""
],
[
"Smolić",
"Ivica",
""
],
[
"Štemberga",
"Tamara",
""
]
] | We analyse the parity-odd ("type P") surface anomalies of the energy-momentum tensor correlators in conformal field theories, with an emphasis on d=4 and d=3 dimensional spacetimes. Using cohomology analysis we construct the expression for the most general P-type surface trace anomaly on a singular 2-dimensional surface in 4-dimensional bulk spacetimes. As an important example, we specialise to the case when the singular surface is a conical defect and show that the bulk P-type Pontryagin trace anomaly induces such a surface trace anomaly. We show that this conical type P surface trace anomaly is given purely by the outer curvature tensor. In addition, we analyse parity-odd surface contact terms in energy-momentum tensor correlators in the flat spacetime induced by the conical defect by studying two special cases in which the contact terms are induced by, (1) type P trace anomaly in d=4 and, (2) gravitational Chern-Simons Lagrangian term in d=3 spacetime dimensions. In both cases we show that the surface contact terms appear in correlators of the lower rank than the corresponding bulk surface terms. |
2102.12583 | Sridip Pal | Zohar Komargodski, M\'ark Mezei, Sridip Pal, Avia Raviv-Moshe | Spontaneously Broken Boosts in CFTs | 50+13 pages,4 figures; matches the published version | null | 10.1007/JHEP09(2021)064 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Conformal Field Theories (CFTs) have rich dynamics in heavy states. We
describe the constraints due to spontaneously broken boost and dilatation
symmetries in such states. The spontaneously broken boost symmetries require
the existence of new low-lying primaries whose scaling dimension gap, we argue,
scales as $O(1)$. We demonstrate these ideas in various states, including
fluid, superfluid, mean field theory, and Fermi surface states. We end with
some remarks about the large charge limit in 2d and discuss a theory of a
single compact boson with an arbitrary conformal anomaly.
| [
{
"created": "Wed, 24 Feb 2021 22:09:40 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2021 02:19:28 GMT",
"version": "v2"
}
] | 2021-09-29 | [
[
"Komargodski",
"Zohar",
""
],
[
"Mezei",
"Márk",
""
],
[
"Pal",
"Sridip",
""
],
[
"Raviv-Moshe",
"Avia",
""
]
] | Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of new low-lying primaries whose scaling dimension gap, we argue, scales as $O(1)$. We demonstrate these ideas in various states, including fluid, superfluid, mean field theory, and Fermi surface states. We end with some remarks about the large charge limit in 2d and discuss a theory of a single compact boson with an arbitrary conformal anomaly. |
hep-th/9901112 | Vladimir O. Soloviev | Vladimir O. Soloviev | Bering's proposal for boundary contribution to the Poisson bracket | 18 pages, LaTeX, amssymb | null | 10.1063/1.533414 | IC/98/201 | hep-th | null | It is shown that the Poisson bracket with boundary terms recently proposed by
Bering (hep-th/9806249) can be deduced from the Poisson bracket proposed by the
present author (hep-th/9305133) if one omits terms free of Euler-Lagrange
derivatives ("annihilation principle"). This corresponds to another definition
of the formal product of distributions (or, saying it in other words, to
another definition of the pairing between 1-forms and 1-vectors in the formal
variational calculus). We extend the formula (initially suggested by Bering
only for the ultralocal case with constant coefficients) onto the general
non-ultralocal brackets with coefficients depending on fields and their spatial
derivatives. The lack of invariance under changes of dependent variables (field
redefinitions) seems a drawback of this proposal.
| [
{
"created": "Sat, 23 Jan 1999 06:28:22 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Soloviev",
"Vladimir O.",
""
]
] | It is shown that the Poisson bracket with boundary terms recently proposed by Bering (hep-th/9806249) can be deduced from the Poisson bracket proposed by the present author (hep-th/9305133) if one omits terms free of Euler-Lagrange derivatives ("annihilation principle"). This corresponds to another definition of the formal product of distributions (or, saying it in other words, to another definition of the pairing between 1-forms and 1-vectors in the formal variational calculus). We extend the formula (initially suggested by Bering only for the ultralocal case with constant coefficients) onto the general non-ultralocal brackets with coefficients depending on fields and their spatial derivatives. The lack of invariance under changes of dependent variables (field redefinitions) seems a drawback of this proposal. |
1801.07280 | Debajyoti Sarkar | Shubho R. Roy and Debajyoti Sarkar | Bulk metric reconstruction from boundary entanglement | 16+4 pages, 3 figures; v2: some clarifications and references added;
v3: more clarifications added. Published version | Phys. Rev. D 98, 066017 (2018) | 10.1103/PhysRevD.98.066017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Most of the literature in the \emph{bulk reconstruction program} in
holography focuses on recovering local bulk operators propagating on a
quasilocal bulk geometry and the knowledge of the bulk geometry is always
assumed or guessed. The fundamental problem of the bulk reconstruction program,
which is \emph{recovering the bulk background geometry (metric)} from the
boundary CFT state is still outstanding. In this work, we formulate a recipe to
extract the bulk metric itself from the boundary state, specifically, the
modular Hamiltonian information of spherical subregions in the boundary. Our
recipe exploits the recent construction of Kabat and Lifschytz
\cite{Kabat:2017mun} to first compute the bulk two point function of scalar
fields directly in the CFT without knowledge of the bulk metric or the
equations of motion, and then to take a large scaling dimension limit (WKB) to
extract the geodesic distance between two close points in the bulk i.e. the
metric. As a proof of principle, we consider three dimensional bulk and
selected CFT states such as the vacuum and the thermofield double states. We
show that they indeed reproduce the pure AdS and the regions outside the
Rindler wedge and the BTZ black hole \emph{up to a rigid conformal factor}.
Since our approach does not rely on symmetry properties of the CFT state, it
can be applied to reconstruct asymptotically AdS geometries dual to arbitrary
general CFT states provided the modular Hamiltonian is available. We discuss
several obvious extensions to the case of higher spacetime dimensions as well
as some future applications, in particular, for constructing metric beyond the
causal wedge of a boundary region. In the process, we also extend the
construction of \cite{Kabat:2017mun} to incorporate the first order
perturbative locality for AdS scalars.
| [
{
"created": "Mon, 22 Jan 2018 19:04:43 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2018 10:26:30 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Sep 2018 12:58:47 GMT",
"version": "v3"
}
] | 2018-10-01 | [
[
"Roy",
"Shubho R.",
""
],
[
"Sarkar",
"Debajyoti",
""
]
] | Most of the literature in the \emph{bulk reconstruction program} in holography focuses on recovering local bulk operators propagating on a quasilocal bulk geometry and the knowledge of the bulk geometry is always assumed or guessed. The fundamental problem of the bulk reconstruction program, which is \emph{recovering the bulk background geometry (metric)} from the boundary CFT state is still outstanding. In this work, we formulate a recipe to extract the bulk metric itself from the boundary state, specifically, the modular Hamiltonian information of spherical subregions in the boundary. Our recipe exploits the recent construction of Kabat and Lifschytz \cite{Kabat:2017mun} to first compute the bulk two point function of scalar fields directly in the CFT without knowledge of the bulk metric or the equations of motion, and then to take a large scaling dimension limit (WKB) to extract the geodesic distance between two close points in the bulk i.e. the metric. As a proof of principle, we consider three dimensional bulk and selected CFT states such as the vacuum and the thermofield double states. We show that they indeed reproduce the pure AdS and the regions outside the Rindler wedge and the BTZ black hole \emph{up to a rigid conformal factor}. Since our approach does not rely on symmetry properties of the CFT state, it can be applied to reconstruct asymptotically AdS geometries dual to arbitrary general CFT states provided the modular Hamiltonian is available. We discuss several obvious extensions to the case of higher spacetime dimensions as well as some future applications, in particular, for constructing metric beyond the causal wedge of a boundary region. In the process, we also extend the construction of \cite{Kabat:2017mun} to incorporate the first order perturbative locality for AdS scalars. |
hep-th/9703028 | Oleg Soloviev | I. I. Kogan (Oxford Univ.), A. Lewis (Oxford Univ.) and O. A. Soloviev
(Queen Mary College) | Knizhnik-Zamolodchikov-type equations for gauged WZNW models | 24 pages, latex, no figures. More discussion of logarithmic operators
was added | Int.J.Mod.Phys.A13:1345-1367,1998 | 10.1142/S0217751X98000639 | QMW-PH-97-5, OU-TP-97-11P | hep-th | null | We study correlation functions of coset constructions by utilizing the method
of gauge dressing. As an example we apply this method to the minimal models and
to the Witten 2D black hole. We exhibit a striking similarity between the
latter and the gravitational dressing. In particular, we look for logarithmic
operators in the 2D black hole.
| [
{
"created": "Tue, 4 Mar 1997 16:38:31 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 1997 11:49:02 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Kogan",
"I. I.",
"",
"Oxford Univ."
],
[
"Lewis",
"A.",
"",
"Oxford Univ."
],
[
"Soloviev",
"O. A.",
"",
"Queen Mary College"
]
] | We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. |
hep-th/0407277 | Niklas Beisert | Niklas Beisert | The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability | PhD thesis (revised), 230 pages. Contains previously unpublished
results. v2,v3: minor changes, references added, v4: corrections in table
2.1, eqs. (2.146,3.26,4.43,4.115,4.116) and below (3.23,3.28) | Phys.Rept.405:1-202,2005 | 10.1016/j.physrep.2004.09.007 | AEI-2004-057 | hep-th | null | The dilatation generator measures the scaling dimensions of local operators
in a conformal field theory. In this thesis we consider the example of
maximally supersymmetric gauge theory in four dimensions and develop and extend
techniques to derive, investigate and apply the dilatation operator.
We construct the dilatation operator by purely algebraic means: Relying on
the symmetry algebra and structural properties of Feynman diagrams we are able
to bypass involved, higher-loop field theory computations. In this way we
obtain the complete one-loop dilatation operator and the planar, three-loop
deformation in an interesting subsector. These results allow us to address the
issue of integrability within a planar four-dimensional gauge theory: We prove
that the complete dilatation generator is integrable at one-loop and present
the corresponding Bethe ansatz. We furthermore argue that integrability extends
to three-loops and beyond. Assuming that it holds indeed, we finally construct
a novel spin chain model at five-loops and propose a Bethe ansatz which might
be valid at arbitrary loop-order!
We illustrate the use of our technology in several examples and also present
two key applications for the AdS/CFT correspondence.
| [
{
"created": "Fri, 30 Jul 2004 19:17:27 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2004 13:40:50 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Sep 2004 16:05:04 GMT",
"version": "v3"
},
{
"created": "Sat, 22 Oct 2005 21:12:20 GMT",
"version": "v4"
}
] | 2011-03-23 | [
[
"Beisert",
"Niklas",
""
]
] | The dilatation generator measures the scaling dimensions of local operators in a conformal field theory. In this thesis we consider the example of maximally supersymmetric gauge theory in four dimensions and develop and extend techniques to derive, investigate and apply the dilatation operator. We construct the dilatation operator by purely algebraic means: Relying on the symmetry algebra and structural properties of Feynman diagrams we are able to bypass involved, higher-loop field theory computations. In this way we obtain the complete one-loop dilatation operator and the planar, three-loop deformation in an interesting subsector. These results allow us to address the issue of integrability within a planar four-dimensional gauge theory: We prove that the complete dilatation generator is integrable at one-loop and present the corresponding Bethe ansatz. We furthermore argue that integrability extends to three-loops and beyond. Assuming that it holds indeed, we finally construct a novel spin chain model at five-loops and propose a Bethe ansatz which might be valid at arbitrary loop-order! We illustrate the use of our technology in several examples and also present two key applications for the AdS/CFT correspondence. |
0905.3183 | Benjamin Burrington | Gaetano Bertoldi, Benjamin A. Burrington and Amanda Peet | Black holes in asymptotically Lifshitz spacetimes with arbitrary
critical exponent | 23 pages, 6 figures, references corrected, graphs made readable in
greyscale | null | 10.1103/PhysRevD.80.126003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a class of gravitational backgrounds in 3+1 dimensions have been
proposed as holographic duals to a Lifshitz theory describing critical
phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We numerically
explore black holes in these backgrounds for a range of values of $z$. We find
drastically different behavior for $z>2$ and $z<2$. We find that for $z>2$
($z<2$) the Lifshitz fixed point is repulsive (attractive) when going to larger
radial parameter $r$. For the repulsive $z>2$ backgrounds, we find a continuous
family of black holes satisfying a finite energy condition. However, for $z<2$
we find that the finite energy condition is more restrictive, and we expect
only a discrete set of black hole solutions, unless some unexpected
cancellations occur. For all black holes, we plot temperature $T$ as a function
of horizon radius $r_0$. For $z\lessapprox 1.761$ we find that this curve
develops a negative slope for certain values of $r_0$ possibly indicating a
thermodynamic instability.
| [
{
"created": "Wed, 20 May 2009 18:30:07 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 2009 16:18:32 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Bertoldi",
"Gaetano",
""
],
[
"Burrington",
"Benjamin A.",
""
],
[
"Peet",
"Amanda",
""
]
] | Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We numerically explore black holes in these backgrounds for a range of values of $z$. We find drastically different behavior for $z>2$ and $z<2$. We find that for $z>2$ ($z<2$) the Lifshitz fixed point is repulsive (attractive) when going to larger radial parameter $r$. For the repulsive $z>2$ backgrounds, we find a continuous family of black holes satisfying a finite energy condition. However, for $z<2$ we find that the finite energy condition is more restrictive, and we expect only a discrete set of black hole solutions, unless some unexpected cancellations occur. For all black holes, we plot temperature $T$ as a function of horizon radius $r_0$. For $z\lessapprox 1.761$ we find that this curve develops a negative slope for certain values of $r_0$ possibly indicating a thermodynamic instability. |
0711.4877 | Hyunsoo Min | Gerald V. Dunne, Jin Hur, Choonkyu Lee, Hyunsoo Min | Renormalized Effective Actions in Radially Symmetric Backgrounds: Exact
Calculations Versus Approximation Methods | 30 pages, 9 figures, RevTex | Phys.Rev.D77:045004,2008 | 10.1103/PhysRevD.77.045004 | null | hep-th | null | Our previously-developed calculational method (the partial wave cutoff
method) is employed to evaluate explicitly scalar one-loop effective actions in
a class of radially symmetric background gauge fields. Our method proves to be
particularly effective when it is used in conjunction with a systematic WKB
series for the large partial wave contribution to the effective action. By
comparing these numerically exact calculations against the predictions based on
the large mass expansion and derivative expansion, we discuss the validity
ranges of the latter approximation methods.
| [
{
"created": "Fri, 30 Nov 2007 06:13:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dunne",
"Gerald V.",
""
],
[
"Hur",
"Jin",
""
],
[
"Lee",
"Choonkyu",
""
],
[
"Min",
"Hyunsoo",
""
]
] | Our previously-developed calculational method (the partial wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge fields. Our method proves to be particularly effective when it is used in conjunction with a systematic WKB series for the large partial wave contribution to the effective action. By comparing these numerically exact calculations against the predictions based on the large mass expansion and derivative expansion, we discuss the validity ranges of the latter approximation methods. |
hep-th/9303134 | Taku Uchino | Taku Uchino | Canonical Theory of 2d Gravity Coupled to Conformal Matter | 14 pages, LaTex, TIT/HEP-216 | null | null | null | hep-th | null | A canonical quantization for two dimensional gravity models, including a
dilaton gravity model, is performed in a way suitable for the light-cone gauge.
We extend the theory developed by Abdalla {\it et.al.}\cite{AM} and obtain the
correlation functions by using the screening charges of the symmetry algebra.
It turns out that the role of the cosmological constant term in the Liouville
theory is played by the screening charge of the symmetry algebra and the
resulting theory looks like a chiral part of the Liouville theory or a
non-critical open string theory. Moreover, we show that the dilaton gravity
theory has a symmetry realized by the centrally extended Poincar\'{e} algebra
instead of the $\slr$ Kac-Moody algebra which is a symmetry of an ordinary two
dimensional gravity theory.
| [
{
"created": "Wed, 24 Mar 1993 13:11:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Uchino",
"Taku",
""
]
] | A canonical quantization for two dimensional gravity models, including a dilaton gravity model, is performed in a way suitable for the light-cone gauge. We extend the theory developed by Abdalla {\it et.al.}\cite{AM} and obtain the correlation functions by using the screening charges of the symmetry algebra. It turns out that the role of the cosmological constant term in the Liouville theory is played by the screening charge of the symmetry algebra and the resulting theory looks like a chiral part of the Liouville theory or a non-critical open string theory. Moreover, we show that the dilaton gravity theory has a symmetry realized by the centrally extended Poincar\'{e} algebra instead of the $\slr$ Kac-Moody algebra which is a symmetry of an ordinary two dimensional gravity theory. |
hep-th/0307149 | Lutz Moeller | Marija Dimitrijevic, Larisa Jonke, Lutz M\"oller, Efrossini
Tsouchnika, Julius Wess, Michael Wohlgenannt | Deformed Field Theory on kappa-spacetime | 19 pages; changes made in section 4 concerning the definition of
field transformations | Eur.Phys.J.C31:129-138,2003 | 10.1140/epjc/s2003-01309-y | null | hep-th | null | A general formalism is developed that allows the construction of a field
theory on quantum spaces which are deformations of ordinary spacetime. The
symmetry group of spacetime (Poincar\' e group) is replaced by a quantum group.
This formalism is demonstrated for the kappa-deformed Poincar\'e algebra and
its quantum space. The algebraic setting is mapped to the algebra of functions
of commuting variables with a suitable star-product. Fields are elements of
this function algebra. The Dirac and Klein-Gordon equation are defined and an
action is found from which they can be derived.
| [
{
"created": "Wed, 16 Jul 2003 17:01:58 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2003 17:20:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dimitrijevic",
"Marija",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Möller",
"Lutz",
""
],
[
"Tsouchnika",
"Efrossini",
""
],
[
"Wess",
"Julius",
""
],
[
"Wohlgenannt",
"Michael",
""
]
] | A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (Poincar\' e group) is replaced by a quantum group. This formalism is demonstrated for the kappa-deformed Poincar\'e algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable star-product. Fields are elements of this function algebra. The Dirac and Klein-Gordon equation are defined and an action is found from which they can be derived. |
2012.15668 | Georgios Karagiannis | Georgios Karagiannis | Tensor Galileons as Lovelock theories | 4 pages, v2: The material has been reorganized, several claims have
been scaled down + references added | null | null | RBI-ThPhys-2021-2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the construction of Galileon interactions involving a single
two-column mixed-symmetry tensor of arbitrary degree in flat spacetime of
arbitrary dimensions, in a reverse engineering spirit. By defining an
appropriate Riemann-like tensor for each of these tensor gauge fields, we show
that the theories constructed in the spirit of Lovelock's theory of Gravity
correspond to the well-known Galileon theories from the literature.
| [
{
"created": "Thu, 31 Dec 2020 15:47:12 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jan 2021 17:41:34 GMT",
"version": "v2"
}
] | 2021-01-12 | [
[
"Karagiannis",
"Georgios",
""
]
] | We review the construction of Galileon interactions involving a single two-column mixed-symmetry tensor of arbitrary degree in flat spacetime of arbitrary dimensions, in a reverse engineering spirit. By defining an appropriate Riemann-like tensor for each of these tensor gauge fields, we show that the theories constructed in the spirit of Lovelock's theory of Gravity correspond to the well-known Galileon theories from the literature. |
2207.01274 | John F. Wheater | John F. Wheater and P.D. Xavier | The Size of a Soliton | 21 pages, no figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the recently proposed Bound State Conjecture for quantum field
theory in the context of solitons in two dimensional $\phi^4$ scalar field
theory. We calculate the quantum correction to the size of the soliton which,
taken together with the known mass correction, shows behaviour consistent with
regarding the soliton as a bound state, and with the conjecture.
| [
{
"created": "Mon, 4 Jul 2022 09:06:30 GMT",
"version": "v1"
}
] | 2022-07-05 | [
[
"Wheater",
"John F.",
""
],
[
"Xavier",
"P. D.",
""
]
] | We consider the recently proposed Bound State Conjecture for quantum field theory in the context of solitons in two dimensional $\phi^4$ scalar field theory. We calculate the quantum correction to the size of the soliton which, taken together with the known mass correction, shows behaviour consistent with regarding the soliton as a bound state, and with the conjecture. |
hep-th/9502127 | null | T. Fujiwara, Y. Igarashi, R. Kuriki and T. Tabei | BFV-BRST Quantization of 2D Supergravity | 39 pages, LaTeX, no figures | Phys.Rev. D53 (1996) 852-869 | 10.1103/PhysRevD.53.852 | YITP-U-95-5 | hep-th | null | Two-dimensional supergravity theory is quantized as an anomalous gauge
theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling
super-Liouville fields are introduced to identify the original second-class
constrained system with a gauge-fixed version of a first-class system. The
BFV-BRST quantization applies to formulate the theory in the most general class
of gauges. A local effective action constructed in the configuration space
contains two super-Liouville actions; one is a noncovariant but local
functional written only in terms of 2D supergravity fields, and the other
contains the super-Liouville fields canceling the super-Weyl anomaly. Auxiliary
fields for the Liouville and the gravity super-multiplets are introduced to
make the BRST algebra close off-shell. Inclusion of them turns out to be
essentially important especially in the super-lightcone gauge-fixing, where the
super-curvature equations ($\dl^3_-g_{++} =\dl^2_-\chi_{++}=0$) are obtained as
a result of BRST invariance of the theory. Our approach reveals the origin of
the graded-SL(2,R) current algebra symmetry in a transparent manner.
| [
{
"created": "Wed, 22 Feb 1995 05:02:09 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Fujiwara",
"T.",
""
],
[
"Igarashi",
"Y.",
""
],
[
"Kuriki",
"R.",
""
],
[
"Tabei",
"T.",
""
]
] | Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling super-Liouville fields are introduced to identify the original second-class constrained system with a gauge-fixed version of a first-class system. The BFV-BRST quantization applies to formulate the theory in the most general class of gauges. A local effective action constructed in the configuration space contains two super-Liouville actions; one is a noncovariant but local functional written only in terms of 2D supergravity fields, and the other contains the super-Liouville fields canceling the super-Weyl anomaly. Auxiliary fields for the Liouville and the gravity super-multiplets are introduced to make the BRST algebra close off-shell. Inclusion of them turns out to be essentially important especially in the super-lightcone gauge-fixing, where the super-curvature equations ($\dl^3_-g_{++} =\dl^2_-\chi_{++}=0$) are obtained as a result of BRST invariance of the theory. Our approach reveals the origin of the graded-SL(2,R) current algebra symmetry in a transparent manner. |
hep-th/9809110 | Petr Jizba | P.Jizba and E.S.Tututi (DAMTP-Cambridge) | The Jaynes-Gibbs principle of maximal entropy and the non-equilibrium
propagators of the O(N) phi^4 theory at large N | 4 pages, REVTeX, no figures, references added, minor corrections in
text | null | null | null | hep-th hep-ph | null | We present a novel procedure for calculating non-equilibrium two-point
Green's functions in the $O(N) \phi^{4}$ theory at large $N$. The
non-equilibrium density matrix $\rho$ is constructed via the Jaynes-Gibbs
principle of maximal entropy and it is directly implemented into the
Dyson-Schwinger equations through initial value conditions. In the large $N$
limit we perform an explicit evaluation of two-point Green's functions for two
illustrative choices of $\rho$.
| [
{
"created": "Tue, 15 Sep 1998 20:55:08 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 1998 19:31:47 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Jizba",
"P.",
"",
"DAMTP-Cambridge"
],
[
"Tututi",
"E. S.",
"",
"DAMTP-Cambridge"
]
] | We present a novel procedure for calculating non-equilibrium two-point Green's functions in the $O(N) \phi^{4}$ theory at large $N$. The non-equilibrium density matrix $\rho$ is constructed via the Jaynes-Gibbs principle of maximal entropy and it is directly implemented into the Dyson-Schwinger equations through initial value conditions. In the large $N$ limit we perform an explicit evaluation of two-point Green's functions for two illustrative choices of $\rho$. |
hep-th/0610323 | Behrouz Mirza | B. Mirza, R. Narimani and M. Zarei | Aharonov-Casher effect for spin one particles in a noncommutative space | 9 pages | Eur.Phys.J.C48:641-645,2006 | 10.1140/epjc/s10052-006-0047-z | null | hep-th | null | In this work the Aharonov-Casher (AC) phase is calculated for spin one
particles in a noncommutative space. The AC phase has previously been
calculated from the Dirac equation in a noncommutative space using a gauge-like
technique [17]. In the spin-one, we use kemmer equation to calculate the phase
in a similar manner. It is shown that the holonomy receives non-trivial
kinematical corrections. By comparing the new result with the already known
spin 1/2 case, one may conjecture a generalized formula for the corrections to
holonomy for higher spins.
| [
{
"created": "Tue, 31 Oct 2006 12:42:19 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mirza",
"B.",
""
],
[
"Narimani",
"R.",
""
],
[
"Zarei",
"M.",
""
]
] | In this work the Aharonov-Casher (AC) phase is calculated for spin one particles in a noncommutative space. The AC phase has previously been calculated from the Dirac equation in a noncommutative space using a gauge-like technique [17]. In the spin-one, we use kemmer equation to calculate the phase in a similar manner. It is shown that the holonomy receives non-trivial kinematical corrections. By comparing the new result with the already known spin 1/2 case, one may conjecture a generalized formula for the corrections to holonomy for higher spins. |
2201.08324 | Roldao da Rocha | W. Barreto and R. da Rocha | Differential configurational entropy and the gravitational collapse of a
kink | 10 pages, 4 figures, published version | Phys. Rev. D 105 (2022) 064049 | 10.1103/PhysRevD.105.064049 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational instability of kinks is scrutinized in the context of
information entropy, including the black hole formation near the scalar field
critical collapse. The differential configurational entropy (DCE) is computed
and examined for globally perturbed static kinks and the far-from-equilibrium
kink solutions as well. In the case of the first kink, the DCE determines a
critical value of the perturbation parameter regulating points of bifurcation
that characterize a phase transition, whose supercritical range leads to
collapse and subsequent black hole formation. For the far-from-equilibrium kink
solutions, the DCE supports black hole formation.
| [
{
"created": "Thu, 20 Jan 2022 17:45:48 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2022 17:31:27 GMT",
"version": "v2"
}
] | 2022-03-29 | [
[
"Barreto",
"W.",
""
],
[
"da Rocha",
"R.",
""
]
] | The gravitational instability of kinks is scrutinized in the context of information entropy, including the black hole formation near the scalar field critical collapse. The differential configurational entropy (DCE) is computed and examined for globally perturbed static kinks and the far-from-equilibrium kink solutions as well. In the case of the first kink, the DCE determines a critical value of the perturbation parameter regulating points of bifurcation that characterize a phase transition, whose supercritical range leads to collapse and subsequent black hole formation. For the far-from-equilibrium kink solutions, the DCE supports black hole formation. |
hep-th/0007218 | M. Ghilardi | M. Ghilardi and E. Guadagnini | Statistical properties of classical gravitating particles in (2+1)
dimensions | Latex2e (amssymb) file, 17 pages | Nucl.Phys. B596 (2001) 273-288 | 10.1016/S0550-3213(00)00705-7 | IFUP-TH. 26/2000 | hep-th | null | We report the statistical properties of classical particles in (2+1) gravity
as resulting from numerical simulations. Only particle momenta have been taken
into account. In the range of total momentum where thermal equilibrium is
reached, the distribution function and the corresponding Boltzmann entropy are
computed. In the presence of large gravity effects, different extensions of the
temperature turn out to be inequivalent, the distribution function has a power
law high-energy tail and the entropy as a function of the internal energy
presents a flex. When the energy approaches the open universe limit, the
entropy and the mean value of the particle kinetic energy seem to diverge.
| [
{
"created": "Thu, 27 Jul 2000 09:37:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ghilardi",
"M.",
""
],
[
"Guadagnini",
"E.",
""
]
] | We report the statistical properties of classical particles in (2+1) gravity as resulting from numerical simulations. Only particle momenta have been taken into account. In the range of total momentum where thermal equilibrium is reached, the distribution function and the corresponding Boltzmann entropy are computed. In the presence of large gravity effects, different extensions of the temperature turn out to be inequivalent, the distribution function has a power law high-energy tail and the entropy as a function of the internal energy presents a flex. When the energy approaches the open universe limit, the entropy and the mean value of the particle kinetic energy seem to diverge. |
hep-th/9608190 | Jens Ole Madsen | J. M. Evans (DAMTP, Cambridge), J. O. Madsen (ENSLAPP, Annecy) | Integrability vs. Supersymmetry | plain TeX file, 11 pages output, macros included; minor errors
corrected, extra references added | Phys.Lett. B389 (1996) 665-672 | 10.1016/S0370-2693(96)01503-1 | CERN-TH/96-224, DAMTP/96-76, ENSLAPP-A-612/96 | hep-th | null | We investigate (1,0)-superconformal Toda theories based on simple Lie
algebras and find that the classical integrability properties of the underlying
bosonic theories do not survive. For several models based on algebras of low
rank, we show explicitly that none of the conserved W-algebra generators can be
generalized to the supersymmetric case. Using these results we deduce that at
least one W-algebra generator fails to generalize in any model based on a
classical Lie algebra. This argument involves a method for relating the bosonic
Toda theories and their conserved currents within each classical series. We
also scrutinize claims that the (1,0)-superconformal models actually admit
(1,1) supersymmetry and find that they do not. Our results are consistent with
the belief that all integrable Toda models with fermions arise from Lie
superalgebras.
| [
{
"created": "Thu, 29 Aug 1996 12:40:46 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 1996 13:15:09 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Evans",
"J. M.",
"",
"DAMTP, Cambridge"
],
[
"Madsen",
"J. O.",
"",
"ENSLAPP, Annecy"
]
] | We investigate (1,0)-superconformal Toda theories based on simple Lie algebras and find that the classical integrability properties of the underlying bosonic theories do not survive. For several models based on algebras of low rank, we show explicitly that none of the conserved W-algebra generators can be generalized to the supersymmetric case. Using these results we deduce that at least one W-algebra generator fails to generalize in any model based on a classical Lie algebra. This argument involves a method for relating the bosonic Toda theories and their conserved currents within each classical series. We also scrutinize claims that the (1,0)-superconformal models actually admit (1,1) supersymmetry and find that they do not. Our results are consistent with the belief that all integrable Toda models with fermions arise from Lie superalgebras. |
1408.3120 | Aleksey Cherman | Gokce Basar, Aleksey Cherman, David A. McGady, Masahito Yamazaki | Casimir energy of confining large $N$ gauge theories | 4 pages, 1 figure. v2: added clarifications and typo corrections,
conclusions unchanged | Phys.Rev.Lett. 114 (2015) 251604 | 10.1103/PhysRevLett.114.251604 | PUPT-2469, IPMU14-0254,FTPI-MINN-14/22, UMN-TH-3347/14 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional asymptotically-free large $N$ gauge theories compactified on
$S^3_R \times \mathbb{R}$ have a weakly-coupled confining regime when $R$ is
small compared to the strong scale. We compute the vacuum energy of a variety
of confining large $N$ non-supersymmetric gauge theories in this calculable
regime, where the vacuum energy can be thought of as the $S^3$ Casimir energy.
The $N=\infty$ renormalized vacuum energy turns out to vanish in all of the
large $N$ gauge theories we have examined, confirming a striking prediction of
temperature-reflection symmetry.
| [
{
"created": "Wed, 13 Aug 2014 20:00:10 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2014 17:18:09 GMT",
"version": "v2"
}
] | 2015-07-14 | [
[
"Basar",
"Gokce",
""
],
[
"Cherman",
"Aleksey",
""
],
[
"McGady",
"David A.",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | Four-dimensional asymptotically-free large $N$ gauge theories compactified on $S^3_R \times \mathbb{R}$ have a weakly-coupled confining regime when $R$ is small compared to the strong scale. We compute the vacuum energy of a variety of confining large $N$ non-supersymmetric gauge theories in this calculable regime, where the vacuum energy can be thought of as the $S^3$ Casimir energy. The $N=\infty$ renormalized vacuum energy turns out to vanish in all of the large $N$ gauge theories we have examined, confirming a striking prediction of temperature-reflection symmetry. |
1111.6815 | Harald Dorn | Harald Dorn, Sebastian Wuttke | Hexagon remainder function in the limit of self-crossing up to three
loops | 19 pages, 4 figures, typos corrected, comment on relation to recent
results for the symbol of three-loop remainder added, version to appear in
JHEP | null | 10.1007/JHEP04(2012)023 | HU-EP-11/54 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Wilson loops in planar N=4 SYM for null polygons in the limit of
two crossing edges. The analysis is based on a renormalisation group technique.
We show that the previously obtained result for the leading and next-leading
divergent term of the two loop hexagon remainder is in full agreement with the
appropriate continuation of the exact analytic formula for this quantity.
Furthermore, we determine the coefficients of the leading and next-leading
singularity for the three loop remainder function for null n-gons with n >= 6.
| [
{
"created": "Tue, 29 Nov 2011 14:00:44 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2012 10:14:23 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Dorn",
"Harald",
""
],
[
"Wuttke",
"Sebastian",
""
]
] | We consider Wilson loops in planar N=4 SYM for null polygons in the limit of two crossing edges. The analysis is based on a renormalisation group technique. We show that the previously obtained result for the leading and next-leading divergent term of the two loop hexagon remainder is in full agreement with the appropriate continuation of the exact analytic formula for this quantity. Furthermore, we determine the coefficients of the leading and next-leading singularity for the three loop remainder function for null n-gons with n >= 6. |
1401.5116 | Paul K. Townsend | Luca Mezincescu, Alasdair J. Routh, Paul K. Townsend | All Superparticles are BPS | 13 pages. Minor improvements plus new reference in v2 | null | 10.1088/1751-8113/47/17/175401 | DAMTP-2014-2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The generic action for an N-extended superparticle in D-dimensional Minkowski
spacetime is shown to have "hidden" supersymmetries (related by "dualities" to
the manifest supersymmetries) such that the full supersymmetry algebra is
BPS-saturated; the exceptions (which include, trivially, the massless case) are
those for which the manifest supersymmetry algebra is already BPS-saturated.
Moreover, it is shown that any "non-BPS" superparticle action is a gauge-fixed
version of the "BPS" superparticle action for which all supersymmetries are
manifest. An example is the N=1 massive D=10 superparticle, which actually has
N=2 supersymmetry and is equivalent to the action for a D0-brane of IIA
superstring theory.
| [
{
"created": "Mon, 20 Jan 2014 22:55:25 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2014 00:20:03 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Mezincescu",
"Luca",
""
],
[
"Routh",
"Alasdair J.",
""
],
[
"Townsend",
"Paul K.",
""
]
] | The generic action for an N-extended superparticle in D-dimensional Minkowski spacetime is shown to have "hidden" supersymmetries (related by "dualities" to the manifest supersymmetries) such that the full supersymmetry algebra is BPS-saturated; the exceptions (which include, trivially, the massless case) are those for which the manifest supersymmetry algebra is already BPS-saturated. Moreover, it is shown that any "non-BPS" superparticle action is a gauge-fixed version of the "BPS" superparticle action for which all supersymmetries are manifest. An example is the N=1 massive D=10 superparticle, which actually has N=2 supersymmetry and is equivalent to the action for a D0-brane of IIA superstring theory. |
2011.02376 | Dine Ousmane Samary | Vincent Lahoche, Dine Ousmane Samary and Mohamed Tamaazousti | Field theoretical approach for signal detection in nearly continuous
positive spectra I: Matricial data | 20 pages, 15 figures | null | 10.3390/e23091132 | null | hep-th cond-mat.dis-nn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Renormalization group techniques are widely used in modern physics to
describe the low energy relevant aspects of systems involving a large number of
degrees of freedom. Those techniques are thus expected to be a powerful tool to
address open issues in data analysis when data sets are very larges. Signal
detection and recognition for covariance matrix having a nearly continuous
spectra is currently one of these opened issues. First investigations in this
direction has been proposed in [Journal of Statistical Physics, 167, Issue 3-4,
pp 462-475, (2017)] and [arXiv:2002.10574], from an analogy between
coarse-graining and principal component analysis (PCA), regarding separation of
sampling noise modes as a UV cut-off for small eigenvalues of the covariance
matrix. The field theoretical framework proposed in this paper is a synthesis
of these complementary point of views, aiming to be a general and operational
framework, both for theoretical investigations and for experimental detection.
Our investigations focus on signal detection, and exhibit experimental
evidences in favor of a connection between symmetry breaking and the existence
of an intrinsic detection threshold.
| [
{
"created": "Wed, 4 Nov 2020 16:09:35 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Nov 2020 12:20:10 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jun 2021 00:05:13 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Nov 2021 16:59:21 GMT",
"version": "v4"
}
] | 2021-11-19 | [
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
],
[
"Tamaazousti",
"Mohamed",
""
]
] | Renormalization group techniques are widely used in modern physics to describe the low energy relevant aspects of systems involving a large number of degrees of freedom. Those techniques are thus expected to be a powerful tool to address open issues in data analysis when data sets are very larges. Signal detection and recognition for covariance matrix having a nearly continuous spectra is currently one of these opened issues. First investigations in this direction has been proposed in [Journal of Statistical Physics, 167, Issue 3-4, pp 462-475, (2017)] and [arXiv:2002.10574], from an analogy between coarse-graining and principal component analysis (PCA), regarding separation of sampling noise modes as a UV cut-off for small eigenvalues of the covariance matrix. The field theoretical framework proposed in this paper is a synthesis of these complementary point of views, aiming to be a general and operational framework, both for theoretical investigations and for experimental detection. Our investigations focus on signal detection, and exhibit experimental evidences in favor of a connection between symmetry breaking and the existence of an intrinsic detection threshold. |
1406.4873 | David R. Morrison | Andreas Malmendier and David R. Morrison | K3 surfaces, modular forms, and non-geometric heterotic
compactifications | 32 pages. v3 has minor changes and additional references | Lett. Math. Phys. 105 (2015), no. 8, 1085-1118 | 10.1007/s11005-015-0773-y | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct non-geometric compactifications by using the F-theory dual of
the heterotic string compactified on a two-torus, together with a close
connection between Siegel modular forms of genus two and the equations of
certain K3 surfaces. The modular group mixes together the K\"ahler, complex
structure, and Wilson line moduli of the torus yielding weakly coupled
heterotic string compactifications which have no large radius interpretation.
| [
{
"created": "Wed, 18 Jun 2014 20:01:26 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Sep 2014 23:42:15 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jun 2015 02:43:36 GMT",
"version": "v3"
}
] | 2015-07-14 | [
[
"Malmendier",
"Andreas",
""
],
[
"Morrison",
"David R.",
""
]
] | We construct non-geometric compactifications by using the F-theory dual of the heterotic string compactified on a two-torus, together with a close connection between Siegel modular forms of genus two and the equations of certain K3 surfaces. The modular group mixes together the K\"ahler, complex structure, and Wilson line moduli of the torus yielding weakly coupled heterotic string compactifications which have no large radius interpretation. |
1507.07779 | Igor Bandos | Igor Bandos | Superstring in doubled superspace | 4+1 pages. V2: Misprints corrected, references added | null | 10.1016/j.physletb.2015.10.081 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The covariant and kappa-symmetric action for superstring in direct product of
two flat D=10 N=1 superspaces is presented. It is given by the sum of
supersymmetric generalization of two copies of chiral boson actions constructed
with the use of the Pasti-Sorokin-Tonin (PST) technique. The chirality of 8
`left' bosons and 8 `left' fermions and the anti-chirality of their `right'
counterparts are obtained as gauge fixed version of the equations of motion, so
that the physical degrees of freedom are essentially those of the II
Green-Schwarz superstring. Our action is manifestly T-duality invariant as the
fields describing oscillating and winding modes enter it on equal footing.
| [
{
"created": "Tue, 28 Jul 2015 14:18:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2015 13:51:12 GMT",
"version": "v2"
}
] | 2015-11-04 | [
[
"Bandos",
"Igor",
""
]
] | The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use of the Pasti-Sorokin-Tonin (PST) technique. The chirality of 8 `left' bosons and 8 `left' fermions and the anti-chirality of their `right' counterparts are obtained as gauge fixed version of the equations of motion, so that the physical degrees of freedom are essentially those of the II Green-Schwarz superstring. Our action is manifestly T-duality invariant as the fields describing oscillating and winding modes enter it on equal footing. |
hep-th/9612025 | null | L. Griguolo and D. Seminara | Non-minimal couplings in two dimensional gravity: a quantum
investigation | Latex, 41 Pages | Nucl.Phys. B495 (1997) 400-432 | 10.1016/S0550-3213(97)00209-5 | MIT-CTP-2578 BRX-TH-401 | hep-th | null | We investigate the quantum effects of the non-minimal matter-gravity
couplings derived by Cangemi and Jackiw in the realm of a specific fermionic
theory, namely the abelian Thirring model on a Riemann surface of genus zero
and one. The structure and the strength of the new interactions are seen to be
highly constrained, when the topology of the underlying manifold is taken into
account. As a matter of fact, by requiring to have a well-defined action, we
are led both to quantization rules for the coupling constants and to selection
rules for the correlation functions. Explicit quantum computations are carried
out in genus one (torus). In particular the two-point function and the chiral
condensate are carefully derived for this case. Finally the effective
gravitational action, coming from integrating out the fermionic degrees of
freedoom, is presented. It is different from the standard Liouville one: a new
non-local functional of the conformal factor arises and the central charge is
improved, depending also on the Thirring coupling constant. This last feature
opens the possibility of giving a new explicit representation of the minimal
series in terms of a fermionic interacting model.
| [
{
"created": "Mon, 2 Dec 1996 18:59:02 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Griguolo",
"L.",
""
],
[
"Seminara",
"D.",
""
]
] | We investigate the quantum effects of the non-minimal matter-gravity couplings derived by Cangemi and Jackiw in the realm of a specific fermionic theory, namely the abelian Thirring model on a Riemann surface of genus zero and one. The structure and the strength of the new interactions are seen to be highly constrained, when the topology of the underlying manifold is taken into account. As a matter of fact, by requiring to have a well-defined action, we are led both to quantization rules for the coupling constants and to selection rules for the correlation functions. Explicit quantum computations are carried out in genus one (torus). In particular the two-point function and the chiral condensate are carefully derived for this case. Finally the effective gravitational action, coming from integrating out the fermionic degrees of freedoom, is presented. It is different from the standard Liouville one: a new non-local functional of the conformal factor arises and the central charge is improved, depending also on the Thirring coupling constant. This last feature opens the possibility of giving a new explicit representation of the minimal series in terms of a fermionic interacting model. |
1004.3572 | Konstantinos Koutrolikos | S. James Gates Jr, Konstantinos Koutrolikos | A Unified Spinorial Superfield Treatment of the Higher Superspin
Superfield Formalism | 15 pages, 0 figures | null | null | UMDEPP 10-008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the higher superspin superfield formalism of Kuzenko et al from
the basis of a unified treatment of an unconstrained spinorial superfield
prepotential, its action and a restricted set of gauge transformations. We
recover previous results as distinct limits of this unified treatment and give
the first derivations of the complete set of Bianchi identities associated with
these equations.
| [
{
"created": "Tue, 20 Apr 2010 20:44:06 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2011 20:21:23 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Mar 2011 06:00:42 GMT",
"version": "v3"
}
] | 2011-03-22 | [
[
"Gates",
"S. James",
"Jr"
],
[
"Koutrolikos",
"Konstantinos",
""
]
] | We discuss the higher superspin superfield formalism of Kuzenko et al from the basis of a unified treatment of an unconstrained spinorial superfield prepotential, its action and a restricted set of gauge transformations. We recover previous results as distinct limits of this unified treatment and give the first derivations of the complete set of Bianchi identities associated with these equations. |
1106.3295 | David Mateos | David Mateos | Gauge/string duality applied to heavy ion collisions: Limitations,
insights and prospects | 8 pages. Plenary talk at "Quark Matter 2011", Annecy, France | null | 10.1088/0954-3899/38/12/124030 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Over the last decade a fruitful interplay has developed between analyses of
strongly coupled non-abelian plasmas via the gauge/string duality and the
phenomenology of the quark-gluon plasma created in heavy ion collisions. I
review the reasons why the gauge/string duality is not a precision tool for QCD
physics at present, with emphasis on conceptual issues. I then argue that,
nevertheless, the duality can provide valuable insights at both the quantitive
and the qualitative level. I illustrate this with a few examples, and conclude
with a brief discussion of future prospects.
| [
{
"created": "Thu, 16 Jun 2011 18:19:16 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Mateos",
"David",
""
]
] | Over the last decade a fruitful interplay has developed between analyses of strongly coupled non-abelian plasmas via the gauge/string duality and the phenomenology of the quark-gluon plasma created in heavy ion collisions. I review the reasons why the gauge/string duality is not a precision tool for QCD physics at present, with emphasis on conceptual issues. I then argue that, nevertheless, the duality can provide valuable insights at both the quantitive and the qualitative level. I illustrate this with a few examples, and conclude with a brief discussion of future prospects. |
0906.2380 | Jorge Eduardo Santos | Oscar J.C. Dias, Harvey S. Reall, Jorge E. Santos | Kerr-CFT and gravitational perturbations | 37 pages. 8 figures | JHEP 0908:101,2009 | 10.1088/1126-6708/2009/08/101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the Kerr-CFT conjecture, we investigate perturbations of the
near-horizon extreme Kerr spacetime. The Teukolsky equation for a massless
field of arbitrary spin is solved. Solutions fall into two classes: normal
modes and traveling waves. Imposing suitable (outgoing) boundary conditions, we
find that there are no unstable modes. The explicit form of metric
perturbations is obtained using the Hertz potential formalism, and compared
with the Kerr-CFT boundary conditions. The energy and angular momentum
associated with scalar field and gravitational normal modes are calculated. The
energy is positive in all cases. The behaviour of second order perturbations is
discussed.
| [
{
"created": "Fri, 12 Jun 2009 17:11:39 GMT",
"version": "v1"
}
] | 2009-09-28 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Reall",
"Harvey S.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | Motivated by the Kerr-CFT conjecture, we investigate perturbations of the near-horizon extreme Kerr spacetime. The Teukolsky equation for a massless field of arbitrary spin is solved. Solutions fall into two classes: normal modes and traveling waves. Imposing suitable (outgoing) boundary conditions, we find that there are no unstable modes. The explicit form of metric perturbations is obtained using the Hertz potential formalism, and compared with the Kerr-CFT boundary conditions. The energy and angular momentum associated with scalar field and gravitational normal modes are calculated. The energy is positive in all cases. The behaviour of second order perturbations is discussed. |
1308.3395 | Jose Alexandre Nogueira | T. L. Antonacci Oakes, R. O. Francisco, J. C. Fabris and J. A.
Nogueira | Ground State of the Hydrogen Atom via Dirac Equation in a Minimal Length
Scenario | 11 pages | Eur. Phys. J. C (2013) 73:2495 | 10.1140/epjc/s10052-013-2495-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we calculate the correction to the ground state energy of the
hydrogen atom due to contributions arising from the presence of a minimal
length. The minimal length scenario is introduced by means of modifying the
Dirac equation through a deformed Heisenberg algebra (kempf algebra). With the
introduction of the Coulomb potential in the new Dirac energy operator, we
calculate the energy shift of the ground state of the hydrogen atom in first
order of the parameter related to the minimal length via perturbation theory.
| [
{
"created": "Thu, 15 Aug 2013 13:48:06 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Oakes",
"T. L. Antonacci",
""
],
[
"Francisco",
"R. O.",
""
],
[
"Fabris",
"J. C.",
""
],
[
"Nogueira",
"J. A.",
""
]
] | In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length. The minimal length scenario is introduced by means of modifying the Dirac equation through a deformed Heisenberg algebra (kempf algebra). With the introduction of the Coulomb potential in the new Dirac energy operator, we calculate the energy shift of the ground state of the hydrogen atom in first order of the parameter related to the minimal length via perturbation theory. |
hep-th/0412240 | John Ellis | John Ellis, N.E.Mavromatos, D.V.Nanopoulos | Cosmic Acceleration and the String Coupling | 16 pages | Phys.Lett.B619:17-25,2005 | 10.1016/j.physletb.2005.05.047 | CERN-PH-TH/2004-264 | hep-th astro-ph gr-qc | null | In the context of a cosmological string model describing the propagation of
strings in a time-dependent Robertson-Walker background space-time, we show
that the asymptotic acceleration of the Universe can be identified with the
square of the string coupling. This allows for a direct measurement of the
ten-dimensional string coupling using cosmological data. We conjecture that
this is a generic feature of a class of non-critical string models that
approach asymptotically a conformal (critical) sigma model whose target space
is a four-dimensional space-time with a dilaton background that is linear in
sigma-model time. The relation between the cosmic acceleration and the string
coupling does not apply in critical strings with constant dilaton fields in
four dimensions.
| [
{
"created": "Mon, 20 Dec 2004 19:30:02 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"Ellis",
"John",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] | In the context of a cosmological string model describing the propagation of strings in a time-dependent Robertson-Walker background space-time, we show that the asymptotic acceleration of the Universe can be identified with the square of the string coupling. This allows for a direct measurement of the ten-dimensional string coupling using cosmological data. We conjecture that this is a generic feature of a class of non-critical string models that approach asymptotically a conformal (critical) sigma model whose target space is a four-dimensional space-time with a dilaton background that is linear in sigma-model time. The relation between the cosmic acceleration and the string coupling does not apply in critical strings with constant dilaton fields in four dimensions. |
2208.02267 | Jonathan Heckman | Jonathan J. Heckman, Austin Joyce, Jeremy Sakstein, and Mark Trodden | Exploring $\boldsymbol{2+2}$ Answers to $\boldsymbol{3+1}$ Questions | v2: 22 pages, 1 figure, references and clarifications added | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore potential uses of physics formulated in Kleinian (i.e., $2+2$)
signature spacetimes as a tool for understanding properties of physics in
Lorentzian (i.e., $3+1$) signature. Much as Euclidean (i.e., $4+0$) signature
quantities can be used to formally construct the ground state wavefunction of a
Lorentzian signature quantum field theory, a similar analytic continuation to
Kleinian signature constructs a state of low particle flux in the direction of
analytic continuation. There is also a natural supersymmetry algebra available
in $2+2$ signature, which serves to constrain the structure of correlation
functions. Spontaneous breaking of Lorentz symmetry can produce various
$\mathcal{N} = 1/2$ supersymmetry algebras that in $3 + 1$ signature correspond
to non-supersymmetric systems. We speculate on the possible role of these
structures in addressing the cosmological constant problem.
| [
{
"created": "Wed, 3 Aug 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Dec 2022 15:33:20 GMT",
"version": "v2"
}
] | 2023-01-02 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Joyce",
"Austin",
""
],
[
"Sakstein",
"Jeremy",
""
],
[
"Trodden",
"Mark",
""
]
] | We explore potential uses of physics formulated in Kleinian (i.e., $2+2$) signature spacetimes as a tool for understanding properties of physics in Lorentzian (i.e., $3+1$) signature. Much as Euclidean (i.e., $4+0$) signature quantities can be used to formally construct the ground state wavefunction of a Lorentzian signature quantum field theory, a similar analytic continuation to Kleinian signature constructs a state of low particle flux in the direction of analytic continuation. There is also a natural supersymmetry algebra available in $2+2$ signature, which serves to constrain the structure of correlation functions. Spontaneous breaking of Lorentz symmetry can produce various $\mathcal{N} = 1/2$ supersymmetry algebras that in $3 + 1$ signature correspond to non-supersymmetric systems. We speculate on the possible role of these structures in addressing the cosmological constant problem. |
1001.0577 | Jonathan Heckman | Jonathan J. Heckman | Particle Physics Implications of F-theory | v2: 42 pages, 3 figures, submitted to Annu. Rev. Nuc. Part. Sci,
improved formatting and small clarifications | null | 10.1146/annurev.nucl.012809.104532 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent progress in realizing Grand Unified Theories (GUTs) in a
strongly coupled formulation of type IIB string theory known as F-theory. Our
main emphasis is on the expected low-energy phenomenology of a minimal class of
F-theory GUTs. We introduce the primary ingredients in such constructions, and
then present qualitative features of GUT models in this framework such as GUT
breaking, doublet-triplet splitting, and proton decay. Next, we review
proposals for realizing flavor hierarchies in the quark and lepton sectors. We
discuss possible supersymmetry breaking scenarios, and their consequences for
experiment, as well as geometrically minimal realizations of F-theory GUTs
which incorporate most of these features.
| [
{
"created": "Tue, 5 Jan 2010 11:16:03 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 2010 02:12:02 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Heckman",
"Jonathan J.",
""
]
] | We review recent progress in realizing Grand Unified Theories (GUTs) in a strongly coupled formulation of type IIB string theory known as F-theory. Our main emphasis is on the expected low-energy phenomenology of a minimal class of F-theory GUTs. We introduce the primary ingredients in such constructions, and then present qualitative features of GUT models in this framework such as GUT breaking, doublet-triplet splitting, and proton decay. Next, we review proposals for realizing flavor hierarchies in the quark and lepton sectors. We discuss possible supersymmetry breaking scenarios, and their consequences for experiment, as well as geometrically minimal realizations of F-theory GUTs which incorporate most of these features. |
hep-th/0505145 | David A. Lowe | Alberto Guijosa, David A. Lowe and Jeff Murugan | A prototype for dS/CFT | 17 pages, revtex4 | Phys.Rev. D72 (2005) 046001 | 10.1103/PhysRevD.72.046001 | BROWN-HET-1445, ICN-UNAM-05/05A | hep-th | null | We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter
spacetime contains the Virasoro algebra. We construct representations of the
Virasoro algebra realized in the Fock space of a massive scalar field in de
Sitter, built as excitations of the Euclidean vacuum state. These
representations are unitary, without highest weight, and have vanishing central
charge. They provide a prototype for a new class of conformal field theories
dual to de Sitter backgrounds in string theory. The mapping of operators in the
CFT to bulk quantities is described in detail. We comment on the extension to
dS_3/CFT_2.
| [
{
"created": "Mon, 16 May 2005 20:12:08 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Guijosa",
"Alberto",
""
],
[
"Lowe",
"David A.",
""
],
[
"Murugan",
"Jeff",
""
]
] | We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter spacetime contains the Virasoro algebra. We construct representations of the Virasoro algebra realized in the Fock space of a massive scalar field in de Sitter, built as excitations of the Euclidean vacuum state. These representations are unitary, without highest weight, and have vanishing central charge. They provide a prototype for a new class of conformal field theories dual to de Sitter backgrounds in string theory. The mapping of operators in the CFT to bulk quantities is described in detail. We comment on the extension to dS_3/CFT_2. |
hep-th/0212227 | Jaume Garriga | Jaume Garriga and Alex Pomarol | A stable hierarchy from Casimir forces and the holographic
interpretation | 10 pages | Phys.Lett. B560 (2003) 91-97 | 10.1016/S0370-2693(03)00301-0 | null | hep-th gr-qc hep-ph | null | We show that in the Randall-Sundrum model the Casimir energy of bulk gauge
fields (or any of their supersymmetric relatives) has contributions that depend
logarithmically on the radion. These contributions satisfactorily stabilize the
radion, generating a large hierarchy of scales without fine-tuning. The
logarithmic behaviour can be understood, in a 4D holographic description, as
the running of gauge couplings with the infrared cut-off scale.
| [
{
"created": "Thu, 19 Dec 2002 17:56:03 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2002 16:28:13 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Garriga",
"Jaume",
""
],
[
"Pomarol",
"Alex",
""
]
] | We show that in the Randall-Sundrum model the Casimir energy of bulk gauge fields (or any of their supersymmetric relatives) has contributions that depend logarithmically on the radion. These contributions satisfactorily stabilize the radion, generating a large hierarchy of scales without fine-tuning. The logarithmic behaviour can be understood, in a 4D holographic description, as the running of gauge couplings with the infrared cut-off scale. |
1205.5023 | Iosif Bena | Iosif Bena, Micha Berkooz, Jan de Boer, Sheer El-Showk and Dieter Van
den Bleeken | Scaling BPS Solutions and pure-Higgs States | 37 pages, 4 figures | null | 10.1007/JHEP11(2012)171 | IPhT-T12/041 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Depending on the value of the coupling, BPS states of type II string theory
compactified on a Calabi-Yau manifold can be described as multicenter
supergravity solutions or as states on the Coulomb or the Higgs branch of a
quiver gauge theory. While the Coulomb-branch states can be mapped one-to-one
to supergravity states, this is not automatically so for Higgs-branch states.
In this paper we explicitly compute the BPS spectrum of the Higgs branch of a
three-center quiver with a closed loop, and identify the subset of states that
are in one-to-one correspondence with Coulomb/supergravity multicenter states.
We also show that there exist additional "pure-Higgs" states, that exist if and
only if the charges of the centers can form a scaling solution. Using
generating function techniques we compute the large charge degeneracy of the
"pure-Higgs" sector and show that it is always exponential. We also construct
the map between Higgs- and Coulomb-branch states, discuss its relation to the
Higgs-Coulomb map of one of the authors and Verlinde, and argue that the pure
Higgs states live in the kernel of this map. Given that these states have no
obvious description on the Coulomb branch or in supergravity, we discuss
whether they can correspond to a single-center black hole or can be related to
more complicated horizonless configurations.
| [
{
"created": "Tue, 22 May 2012 19:53:55 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Bena",
"Iosif",
""
],
[
"Berkooz",
"Micha",
""
],
[
"de Boer",
"Jan",
""
],
[
"El-Showk",
"Sheer",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] | Depending on the value of the coupling, BPS states of type II string theory compactified on a Calabi-Yau manifold can be described as multicenter supergravity solutions or as states on the Coulomb or the Higgs branch of a quiver gauge theory. While the Coulomb-branch states can be mapped one-to-one to supergravity states, this is not automatically so for Higgs-branch states. In this paper we explicitly compute the BPS spectrum of the Higgs branch of a three-center quiver with a closed loop, and identify the subset of states that are in one-to-one correspondence with Coulomb/supergravity multicenter states. We also show that there exist additional "pure-Higgs" states, that exist if and only if the charges of the centers can form a scaling solution. Using generating function techniques we compute the large charge degeneracy of the "pure-Higgs" sector and show that it is always exponential. We also construct the map between Higgs- and Coulomb-branch states, discuss its relation to the Higgs-Coulomb map of one of the authors and Verlinde, and argue that the pure Higgs states live in the kernel of this map. Given that these states have no obvious description on the Coulomb branch or in supergravity, we discuss whether they can correspond to a single-center black hole or can be related to more complicated horizonless configurations. |
hep-th/9912050 | Peter Presnajder | Peter Presnajder | The Origin of Chiral Anomaly and the Noncommutative Geometry | 30 pages | J.Math.Phys. 41 (2000) 2789-2804 | 10.1063/1.533271 | null | hep-th | null | We describe the scalar and spinor fields on noncommutative sphere starting
from canonical realizations of the enveloping algebra ${\cal A}={\cal
U}{u(2))}$. The gauge extension of a free spinor model, the Schwinger model on
a noncommutative sphere, is defined and the model is quantized. The
noncommutative version of the model contains only a finite number of dynamical
modes and is non-perturbatively UV-regular. An exact expresion for the chiral
anomaly is found. In the commutative limit the standard formula is recovered.
| [
{
"created": "Tue, 7 Dec 1999 11:16:04 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 1999 11:00:09 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Dec 1999 10:19:26 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Presnajder",
"Peter",
""
]
] | We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra ${\cal A}={\cal U}{u(2))}$. The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. An exact expresion for the chiral anomaly is found. In the commutative limit the standard formula is recovered. |
hep-th/9604117 | Dimitri Boulatov | D.V.Boulatov | Quantum Deformation of Lattice Gauge Theory | 31 pp.; uses epic.sty and eepic.sty | Commun.Math.Phys. 186 (1997) 295-322 | 10.1007/s002200050111 | SISSA 57/96/EP | hep-th math.QA q-alg | null | A quantum deformation of 3-dimensional lattice gauge theory is defined by
applying the Reshetikhin-Turaev functor to a Heegaard diagram associated to a
given cell complex. In the root-of-unity case, the construction is carried out
with a modular Hopf algebra. In the topological (weak-coupling) limit, the
gauge theory partition function gives a 3-fold invariant, coinciding in the
simplicial case with the Turaev-Viro one. We discuss bounded manifolds as well
as links in manifolds. By a dimensional reduction, we obtain a q-deformed gauge
theory on Riemann surfaces and find a connection with the algebraic
Alekseev-Grosse-Schomerus approach.
| [
{
"created": "Fri, 19 Apr 1996 16:40:02 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Boulatov",
"D. V.",
""
]
] | A quantum deformation of 3-dimensional lattice gauge theory is defined by applying the Reshetikhin-Turaev functor to a Heegaard diagram associated to a given cell complex. In the root-of-unity case, the construction is carried out with a modular Hopf algebra. In the topological (weak-coupling) limit, the gauge theory partition function gives a 3-fold invariant, coinciding in the simplicial case with the Turaev-Viro one. We discuss bounded manifolds as well as links in manifolds. By a dimensional reduction, we obtain a q-deformed gauge theory on Riemann surfaces and find a connection with the algebraic Alekseev-Grosse-Schomerus approach. |
hep-th/9611033 | Francois Delduc | F. Delduc, L. Gallot, E. Ivanov | New super KdV system with the N=4 SCA as the hamiltonian structure | 13 pages, LaTeX file, minor mistakes and misprints corrected | Phys.Lett. B396 (1997) 122-132 | 10.1016/S0370-2693(97)00133-0 | ENSLAPP-L-623, JINR E2-96-394 | hep-th | null | We present a new integrable extension of the a=-2, N=2 SKdV hierarchy, with
the "small" N=4 superconformal algebra (SCA) as the second hamiltonian
structure. As distinct from the previously known N=4 supersymmetric KdV
hierarchy associated with the same N=4 SCA, the new system respects only N=2
rigid supersymmetry. We give for it both matrix and scalar Lax formulations and
consider its various integrable reductions which complete the list of known
SKdV systems with the N=2 SCA as the second hamiltonian structure. We construct
a generalized Miura transformation which relates our system to the $\alpha =
-2$, N=2 super Boussinesq hierarchy and, respectively, the ``small'' N=4 SCA to
the N=2 W_3 superalgebra.
| [
{
"created": "Wed, 6 Nov 1996 11:29:46 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 1996 19:00:48 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Delduc",
"F.",
""
],
[
"Gallot",
"L.",
""
],
[
"Ivanov",
"E.",
""
]
] | We present a new integrable extension of the a=-2, N=2 SKdV hierarchy, with the "small" N=4 superconformal algebra (SCA) as the second hamiltonian structure. As distinct from the previously known N=4 supersymmetric KdV hierarchy associated with the same N=4 SCA, the new system respects only N=2 rigid supersymmetry. We give for it both matrix and scalar Lax formulations and consider its various integrable reductions which complete the list of known SKdV systems with the N=2 SCA as the second hamiltonian structure. We construct a generalized Miura transformation which relates our system to the $\alpha = -2$, N=2 super Boussinesq hierarchy and, respectively, the ``small'' N=4 SCA to the N=2 W_3 superalgebra. |
hep-th/0401202 | S. G. Rajeev | S. G. Rajeev | Three Dimensional Simplicial Yang-Mills Theory: An Approach to the Mass
Gap | Talk at the Third Conference on Quantum Theory and Symmetries at the
University of Cincinnati, Sep 10-14 2003 | null | 10.1142/9789812702340_0031 | null | hep-th | null | We show how to formulate Yang-Mills Theory in \m{2+1} dimensions as a
hamitonian system within a simplicial regularization and construct its
quantization, with special attention to the mass gap. An approximate conformal
invariance of the hamiltonian of this theory is useful to construct a continuum
limit.
| [
{
"created": "Mon, 26 Jan 2004 22:54:04 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Rajeev",
"S. G.",
""
]
] | We show how to formulate Yang-Mills Theory in \m{2+1} dimensions as a hamitonian system within a simplicial regularization and construct its quantization, with special attention to the mass gap. An approximate conformal invariance of the hamiltonian of this theory is useful to construct a continuum limit. |
hep-th/9306049 | Sebastiao R. Aladim Neto | S.R. Aladim and M.J. Martins | The class of universality of integrable and isotropic GL(N) mixed
magnets | 19 pages | J.Phys. A26 (1993) 7287-7300 | 10.1088/0305-4470/26/24/007 | UFSCARF-TH-93-10 | hep-th | null | We discuss a class of transfer matrix built by a particular combination of
isomorphic and non-isomorphic GL(N) invariant vertex operators. We construct a
conformally invariant magnet co nstituted of an alternating mixture of GL(N)
``spins'' operators at different order of represent ation. The corresponding
central charge is calculated by analysing the low temperature beha viour of the
associated free energy. We also comment on possible extensions of our results
for more general classes of mixed systems.
| [
{
"created": "Wed, 9 Jun 1993 15:04:00 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Aladim",
"S. R.",
""
],
[
"Martins",
"M. J.",
""
]
] | We discuss a class of transfer matrix built by a particular combination of isomorphic and non-isomorphic GL(N) invariant vertex operators. We construct a conformally invariant magnet co nstituted of an alternating mixture of GL(N) ``spins'' operators at different order of represent ation. The corresponding central charge is calculated by analysing the low temperature beha viour of the associated free energy. We also comment on possible extensions of our results for more general classes of mixed systems. |
hep-th/0505248 | Ian Jack Dr | I. Jack, D.R.T. Jones and L.A. Worthy | One-loop renormalisation of general N=1/2 supersymmetric gauge theory | 30 pages, including 8 figures. Plain TeX. Uses Harvmac and epsf | Phys.Rev. D72 (2005) 065002 | 10.1103/PhysRevD.72.065002 | LTH 653 | hep-th | null | We investigate the one-loop renormalisability of a general N=1/2
supersymmetric gauge theory coupled to chiral matter, and show the existence of
an N=1/2 supersymmetric SU(N)xU(1) theory which is renormalisable at one loop.
| [
{
"created": "Fri, 27 May 2005 10:17:08 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
],
[
"Worthy",
"L. A.",
""
]
] | We investigate the one-loop renormalisability of a general N=1/2 supersymmetric gauge theory coupled to chiral matter, and show the existence of an N=1/2 supersymmetric SU(N)xU(1) theory which is renormalisable at one loop. |
hep-th/9803177 | Oliver Jahn | O. Jahn, F. Lenz | Structure and Dynamics of Monopoles in Axial-Gauge QCD | 23 pages, RevTeX, no figures; version accepted for publication in
Phys. Rev. D (minor changes added) | Phys. Rev. D 58, 085006 (1998) | 10.1103/PhysRevD.58.085006 | FAU-TP3-98/5 | hep-th hep-lat hep-ph | null | An investigation of singular fields emerging in the process of transforming
QCD to the axial gauge is presented. The structure of the singularities is
analyzed. It is shown that apart from well known neutral magnetic monopole
singularities, the field configurations also exhibit singularities in their
charged and transverse components. This complex singularity structure
guarantees finite non-Abelian field strength and thus finite action if
expressed in terms of gauge fixed fields. A relation between the monopole
charges of singular field configurations and their topological charge is
derived. Qualitative dynamical aspects of the role of the monopoles are
discussed. It is argued that the entropy associated with monopoles increases
with decreasing temperature and that the coupling to quantum fluctuations
favors monopole-antimonopole binding.
| [
{
"created": "Mon, 23 Mar 1998 11:16:33 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Aug 1998 15:43:07 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Jahn",
"O.",
""
],
[
"Lenz",
"F.",
""
]
] | An investigation of singular fields emerging in the process of transforming QCD to the axial gauge is presented. The structure of the singularities is analyzed. It is shown that apart from well known neutral magnetic monopole singularities, the field configurations also exhibit singularities in their charged and transverse components. This complex singularity structure guarantees finite non-Abelian field strength and thus finite action if expressed in terms of gauge fixed fields. A relation between the monopole charges of singular field configurations and their topological charge is derived. Qualitative dynamical aspects of the role of the monopoles are discussed. It is argued that the entropy associated with monopoles increases with decreasing temperature and that the coupling to quantum fluctuations favors monopole-antimonopole binding. |
hep-th/0512197 | Eric D'Hoker | Eric D'Hoker and D. H. Phong | Complex Geometry and Supergeometry | 42 pages | null | null | UCLA/05/TEP/34 | hep-th math.CV | null | Complex geometry and supergeometry are closely entertwined in superstring
perturbation theory, since perturbative superstring amplitudes are formulated
in terms of supergeometry, and yet should reduce to integrals of holomorphic
forms on the moduli space of punctured Riemann surfaces. The presence of
supermoduli has been a major obstacle for a long time in carrying out this
program. Recently, this obstacle has been overcome at genus 2, which is the
first loop order where it appears in all amplitudes. An important ingredient is
a better understanding of the relation between geometry and supergeometry, and
between holomorphicity and superholomorphicity. This talk provides a survey of
these developments and a brief discussion of the directions for further
investigation.
| [
{
"created": "Thu, 15 Dec 2005 21:09:07 GMT",
"version": "v1"
}
] | 2007-08-30 | [
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] | Complex geometry and supergeometry are closely entertwined in superstring perturbation theory, since perturbative superstring amplitudes are formulated in terms of supergeometry, and yet should reduce to integrals of holomorphic forms on the moduli space of punctured Riemann surfaces. The presence of supermoduli has been a major obstacle for a long time in carrying out this program. Recently, this obstacle has been overcome at genus 2, which is the first loop order where it appears in all amplitudes. An important ingredient is a better understanding of the relation between geometry and supergeometry, and between holomorphicity and superholomorphicity. This talk provides a survey of these developments and a brief discussion of the directions for further investigation. |
1410.0899 | Paul Richmond | Luis F. Alday, Paul Richmond, James Sparks | The holographic supersymmetric Renyi entropy in five dimensions | 19 pages | JHEP 1502 (2015) 102 | 10.1007/JHEP02(2015)102 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the supersymmetric Renyi entropy across an entangling three-sphere
for five-dimensional superconformal field theories using localization. For a
class of USp(2N) gauge theories we construct a holographic dual 1/2 BPS black
hole solution of Euclidean Romans F(4) supergravity. The large N limit of the
gauge theory results agree perfectly with the supergravity computations.
| [
{
"created": "Fri, 3 Oct 2014 16:27:57 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Alday",
"Luis F.",
""
],
[
"Richmond",
"Paul",
""
],
[
"Sparks",
"James",
""
]
] | We compute the supersymmetric Renyi entropy across an entangling three-sphere for five-dimensional superconformal field theories using localization. For a class of USp(2N) gauge theories we construct a holographic dual 1/2 BPS black hole solution of Euclidean Romans F(4) supergravity. The large N limit of the gauge theory results agree perfectly with the supergravity computations. |
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