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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1805.11667 | Ram Brustein | Ram Brustein, A.J.M. Medved | Resisting collapse: How matter inside a black hole can withstand gravity | Replaced to agree with published version. Added clarifications,
discussions about previous work and references | Phys. Rev. D 99, 064019 (2019) | 10.1103/PhysRevD.99.064019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | How can a Schwarzschild-sized matter system avoid a fate of gravitational
collapse? To address this question, we critically reexamine the arguments that
led to the "Buchdahl bound", which implies that the minimal size of a stable,
compact object must be larger than nine eighths of its own Schwarzschild
radius. Following Mazur and Mottola, and in line with other counterexamples to
the singularity theorems, we identify large negative radial pressure extending
to the gravitational radius as the essential ingredient for evading the
Buchdahl bound. Our results are novel although consistent with many other
investigations of models of non-singular black holes. It is shown in particular
that a large negative pressure in the framework of classical GR translates into
a large positive pressure once quantum physics is incorporated. In this way, a
Schwarzschild-sized bound state of closed, interacting fundamental strings in
its high-temperature Hagedorn phase can appear to have negative pressure and
thus the ability to resist gravitational collapse.
| [
{
"created": "Tue, 29 May 2018 19:04:03 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Feb 2019 12:06:45 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] | How can a Schwarzschild-sized matter system avoid a fate of gravitational collapse? To address this question, we critically reexamine the arguments that led to the "Buchdahl bound", which implies that the minimal size of a stable, compact object must be larger than nine eighths of its own Schwarzschild radius. Following Mazur and Mottola, and in line with other counterexamples to the singularity theorems, we identify large negative radial pressure extending to the gravitational radius as the essential ingredient for evading the Buchdahl bound. Our results are novel although consistent with many other investigations of models of non-singular black holes. It is shown in particular that a large negative pressure in the framework of classical GR translates into a large positive pressure once quantum physics is incorporated. In this way, a Schwarzschild-sized bound state of closed, interacting fundamental strings in its high-temperature Hagedorn phase can appear to have negative pressure and thus the ability to resist gravitational collapse. |
1303.0112 | Yoshiki Sato | Yoshiki Sato, Kentaroh Yoshida | Holographic description of the Schwinger effect in electric and magnetic
fields | 18 pages, 2 figures, v2: a comment added, v3: typos corrected | null | 10.1007/JHEP04(2013)111 | KUNS-2438 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a generalization of the holographic Schwinger effect proposed by
Semenoff and Zarembo to the case with constant electric and magnetic fields.
There are two ways to turn on magnetic fields, i) the probe D3-brane picture
and ii) the string world-sheet picture. In the former picture, magnetic fields
both perpendicular and parallel to the electric field are activated by a
Lorentz transformation and a spatial rotation. In the latter one, the classical
solutions of the string world-sheet corresponding to circular Wilson loops are
generalized to contain two additional parameters encoding the presence of
magnetic fields.
| [
{
"created": "Fri, 1 Mar 2013 08:42:28 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2013 04:43:15 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Apr 2015 08:11:54 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Sato",
"Yoshiki",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We consider a generalization of the holographic Schwinger effect proposed by Semenoff and Zarembo to the case with constant electric and magnetic fields. There are two ways to turn on magnetic fields, i) the probe D3-brane picture and ii) the string world-sheet picture. In the former picture, magnetic fields both perpendicular and parallel to the electric field are activated by a Lorentz transformation and a spatial rotation. In the latter one, the classical solutions of the string world-sheet corresponding to circular Wilson loops are generalized to contain two additional parameters encoding the presence of magnetic fields. |
1408.0801 | Akihiro Ishibashi | Stefan Hollands, Akihiro Ishibashi | Instabilities of extremal rotating black holes in higher dimensions | 52pp, LateX, 8 figures, v2: title changed, references added, extended
discussion of the near extremal case, numerous minor revisions | null | 10.1007/s00220-015-2410-0 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Durkee and Reall have conjectured a criterion for linear
instability of rotating, extremal, asymptotically Minkowskian black holes in
$d\ge 4$ dimensions, such as the Myers-Perry black holes. They considered a
certain elliptic operator, $\cA$, acting on symmetric trace-free tensors
intrinsic to the horizon. Based in part on numerical evidence, they suggested
that if the lowest eigenvalue of this operator is less than the critical value
$-1/4$ ( called "effective BF-bound"), then the black hole is linearly
unstable. In this paper, we prove an extended version of their conjecture. Our
proof uses a combination of methods such as (i) the "canonical energy method"
of Hollands-Wald, (ii) algebraically special properties of the near horizon
geometries associated with the black hole, (iii) the Corvino-Schoen technique,
and (iv) semiclassical analysis. Our method of proof is also applicable to
rotating, extremal asymptotically Anti-deSitter black holes. In that case, we
find additional instabilities for ultra-spinning black holes. Although we
explicitly discuss in this paper only extremal black holes, we argue that our
results can be generalized to {\em near} extremal black holes.
| [
{
"created": "Mon, 4 Aug 2014 20:00:15 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2015 11:06:02 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"Hollands",
"Stefan",
""
],
[
"Ishibashi",
"Akihiro",
""
]
] | Recently, Durkee and Reall have conjectured a criterion for linear instability of rotating, extremal, asymptotically Minkowskian black holes in $d\ge 4$ dimensions, such as the Myers-Perry black holes. They considered a certain elliptic operator, $\cA$, acting on symmetric trace-free tensors intrinsic to the horizon. Based in part on numerical evidence, they suggested that if the lowest eigenvalue of this operator is less than the critical value $-1/4$ ( called "effective BF-bound"), then the black hole is linearly unstable. In this paper, we prove an extended version of their conjecture. Our proof uses a combination of methods such as (i) the "canonical energy method" of Hollands-Wald, (ii) algebraically special properties of the near horizon geometries associated with the black hole, (iii) the Corvino-Schoen technique, and (iv) semiclassical analysis. Our method of proof is also applicable to rotating, extremal asymptotically Anti-deSitter black holes. In that case, we find additional instabilities for ultra-spinning black holes. Although we explicitly discuss in this paper only extremal black holes, we argue that our results can be generalized to {\em near} extremal black holes. |
hep-th/0608140 | Doron Gepner R | Doron Gepner | Galois groups in rational conformal field theory II. The discriminant | 19 pages, one table. Minor typos corrected | Phys.Lett.B654:113-120,2007 | 10.1016/j.physletb.2007.08.054 | null | hep-th cond-mat.stat-mech math-ph math.MP math.NT math.RA | null | We express the discriminant of the polynomial relations of the fusion ring,
in any conformal field theory, as the product of the rows of the modular matrix
to the power -2. The discriminant is shown to be an integer, always, which is a
product of primes which divide the level. Detailed formulas for the
discriminant are given for all WZW conformal field theories.
| [
{
"created": "Sun, 20 Aug 2006 11:08:09 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2006 11:35:35 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gepner",
"Doron",
""
]
] | We express the discriminant of the polynomial relations of the fusion ring, in any conformal field theory, as the product of the rows of the modular matrix to the power -2. The discriminant is shown to be an integer, always, which is a product of primes which divide the level. Detailed formulas for the discriminant are given for all WZW conformal field theories. |
0901.0924 | Wei Li | Mitsutoshi Fujita, Wei Li, Shinsei Ryu, Tadashi Takayanagi | Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge
States, and Hierarchy | 36 pages, 6 figures; v2: with an improved derivation of Hall
conductivity in section 3.2, typo corrections, and additional references; v3:
explanations and comments added | JHEP 0906:066,2009 | 10.1088/1126-6708/2009/06/066 | KUNS-2177, IPMU09-0002 | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present three holographic constructions of fractional quantum Hall effect
(FQHE) via string theory. The first model studies edge states in FQHE using
supersymmetric domain walls in N=6 Chern-Simons theory. We show that D4-branes
wrapped on CP^1 or D8-branes wrapped on CP^3 create edge states that shift the
rank or the level of the gauge group, respectively. These holographic edge
states correctly reproduce the Hall conductivity. The second model presents a
holographic dual to the pure U(N)_k (Yang-Mills-)Chern-Simons theory based on a
D3-D7 system. Its holography is equivalent to the level-rank duality, which
enables us to compute the Hall conductivity and the topological entanglement
entropy. The third model introduces the first string theory embedding of
hierarchical FQHEs, using IIA string on C^2/Z_n.
| [
{
"created": "Thu, 8 Jan 2009 04:40:24 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2009 07:25:25 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2009 11:04:46 GMT",
"version": "v3"
}
] | 2009-07-22 | [
[
"Fujita",
"Mitsutoshi",
""
],
[
"Li",
"Wei",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | We present three holographic constructions of fractional quantum Hall effect (FQHE) via string theory. The first model studies edge states in FQHE using supersymmetric domain walls in N=6 Chern-Simons theory. We show that D4-branes wrapped on CP^1 or D8-branes wrapped on CP^3 create edge states that shift the rank or the level of the gauge group, respectively. These holographic edge states correctly reproduce the Hall conductivity. The second model presents a holographic dual to the pure U(N)_k (Yang-Mills-)Chern-Simons theory based on a D3-D7 system. Its holography is equivalent to the level-rank duality, which enables us to compute the Hall conductivity and the topological entanglement entropy. The third model introduces the first string theory embedding of hierarchical FQHEs, using IIA string on C^2/Z_n. |
hep-th/9306051 | null | D.C.Cabra, E.F.Moreno and C.M.Na\'on | Thirring Model with Non-conserved Chiral Charge | pages 17 | Nucl.Phys. B424 (1994) 567-581 | 10.1016/0550-3213(94)90408-1 | null | hep-th | null | We study the Abelian Thirring Model when the fermionic fields have
non-conserved chiral charge: $\Delta {\cal Q}_5 =N$. One of the main features
we find for this model is the dependence of the Virasoro central charge on both
the Thirring coupling constant and $N$. We show how to evaluate correlation
functions and in particular we compute the conformal dimensions for fermions
and fermionic bilinears, which depend on the fermionic chiral charge. Finally
we build primary fields with arbitrary conformal weight.
| [
{
"created": "Thu, 10 Jun 1993 16:17:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cabra",
"D. C.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Naón",
"C. M.",
""
]
] | We study the Abelian Thirring Model when the fermionic fields have non-conserved chiral charge: $\Delta {\cal Q}_5 =N$. One of the main features we find for this model is the dependence of the Virasoro central charge on both the Thirring coupling constant and $N$. We show how to evaluate correlation functions and in particular we compute the conformal dimensions for fermions and fermionic bilinears, which depend on the fermionic chiral charge. Finally we build primary fields with arbitrary conformal weight. |
hep-th/0011008 | Clifford V. Johnson | Clifford V. Johnson | The Enhancon, Multimonopoles and Fuzzy Geometry | 10 pages. Two figures. LaTeX, IJMP style. Contribution to proceedings
of Strings 2000, held at Michigan U | Int.J.Mod.Phys. A16 (2001) 990 | 10.1142/S0217751X01004062 | null | hep-th | null | The presentation at Strings 2000 was intended to be in two main parts, but
there was only time for part one. However both parts appeared on the online
proceedings, and are also included in this document. The first part concerns an
exploration of the connection between the physics of the `enhancon' geometry
arising from wrapping N D6-branes on the K3 manifold in Type IIA string theory
and that of a charge N BPS multi-monopole. This also relates to the physics of
2+1 dimensional SU(N) gauge theory with eight supercharges. The main results
uncovered by this exploration are: a) better insight into the non-perturbative
geometry of the enhancon; b) the structure of the moduli space geometry, and
its characterisation in terms of generalisations of an Atiyah-Hitchin-like
manifold; c) the use of Nahm data to describe aspects of the geometry, showing
that the enhancon locus itself has a description as a fuzzy sphere. Part two
discusses the addition of extra D2-branes into the geometry. Two probe
computations show the difference between the geometry as seen by D2-branes and
that seen by wrapped D6-branes, and the accompanying gauge theory
interpretations are discussed.
| [
{
"created": "Wed, 1 Nov 2000 20:33:05 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Johnson",
"Clifford V.",
""
]
] | The presentation at Strings 2000 was intended to be in two main parts, but there was only time for part one. However both parts appeared on the online proceedings, and are also included in this document. The first part concerns an exploration of the connection between the physics of the `enhancon' geometry arising from wrapping N D6-branes on the K3 manifold in Type IIA string theory and that of a charge N BPS multi-monopole. This also relates to the physics of 2+1 dimensional SU(N) gauge theory with eight supercharges. The main results uncovered by this exploration are: a) better insight into the non-perturbative geometry of the enhancon; b) the structure of the moduli space geometry, and its characterisation in terms of generalisations of an Atiyah-Hitchin-like manifold; c) the use of Nahm data to describe aspects of the geometry, showing that the enhancon locus itself has a description as a fuzzy sphere. Part two discusses the addition of extra D2-branes into the geometry. Two probe computations show the difference between the geometry as seen by D2-branes and that seen by wrapped D6-branes, and the accompanying gauge theory interpretations are discussed. |
hep-th/9604021 | Reinhard Oehme | Reinhard Oehme and Wentao Xu | Asymptotic Limits and Sum Rules for the Quark Propagator | 15 pages, Latex | Phys.Lett. B384 (1996) 269-276 | 10.1016/0370-2693(96)00822-2 | EFI 96-09 | hep-th hep-ph | null | For the structure functions of the quark propagator, the asymptotic behavior
is obtained for general, linear, covariant gauges, and in all directions of the
complex $k^2$-plane. Asymptotic freedom is assumed. Corresponding previous
results for the gauge field propagator are important in the derivation. Except
for coefficients, the leading asymptotic terms are determined by one-loop or by
two-loop information, and are gauge independent. Various sum rules are derived.
| [
{
"created": "Wed, 3 Apr 1996 19:09:02 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Oehme",
"Reinhard",
""
],
[
"Xu",
"Wentao",
""
]
] | For the structure functions of the quark propagator, the asymptotic behavior is obtained for general, linear, covariant gauges, and in all directions of the complex $k^2$-plane. Asymptotic freedom is assumed. Corresponding previous results for the gauge field propagator are important in the derivation. Except for coefficients, the leading asymptotic terms are determined by one-loop or by two-loop information, and are gauge independent. Various sum rules are derived. |
hep-th/0001060 | Alfio Bonanno | Alfio Bonanno (Osservatorio Astrofisico, Universita' di Catania, and
INFN, sezione di Catania, Italy) | Non-perturbative scaling in the scalar theory | 8 pages, RevTeX | Phys.Rev. D62 (2000) 027701 | 10.1103/PhysRevD.62.027701 | INFNCT 01/00 | hep-th hep-ph | null | A new approach to study the scaling behavior of the scalar theory near the
Gaussian fixed point in $d$-dimensions is presented. For a class of initial
data an explicit use of the Green's function of the evolution equation is made.
It is thus discussed under which conditions non-polynomial relevant
interactions can be generated by the renormalization group flow.
| [
{
"created": "Tue, 11 Jan 2000 15:11:37 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bonanno",
"Alfio",
"",
"Osservatorio Astrofisico, Universita' di Catania, and\n INFN, sezione di Catania, Italy"
]
] | A new approach to study the scaling behavior of the scalar theory near the Gaussian fixed point in $d$-dimensions is presented. For a class of initial data an explicit use of the Green's function of the evolution equation is made. It is thus discussed under which conditions non-polynomial relevant interactions can be generated by the renormalization group flow. |
hep-th/0009105 | Shun'ichi Shinohara | Hiroyuki Hata and Shun'ichi Shinohara (Kyoto Univ.) | BRST Invariance of the Non-Perturbative Vacuum in Bosonic Open String
Field Theory | 14 pages, no figures, LaTeX2e, v2: references added, minor changes,
v3: typos corrected | JHEP 0009:035,2000 | 10.1088/1126-6708/2000/09/035 | KUNS-1683 | hep-th | null | Tachyon condensation on a bosonic D-brane was recently demonstrated
numerically in Witten's open string field theory with level truncation
approximation. This non-perturbative vacuum, which is obtained by solving the
equation of motion, has to satisfy furthermore the requirement of BRST
invariance. This is indispensable in order for the theory around the
non-perturbative vacuum to be consistent. We carry out the numerical analysis
of the BRST invariance of the solution and find that it holds to a good
accuracy. We also mention the zero-norm property of the solution. The
observations in this paper are expected to give clues to the analytic
expression of the vacuum solution.
| [
{
"created": "Thu, 14 Sep 2000 02:21:13 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Sep 2000 02:07:01 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Oct 2000 09:27:33 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Hata",
"Hiroyuki",
"",
"Kyoto Univ."
],
[
"Shinohara",
"Shun'ichi",
"",
"Kyoto Univ."
]
] | Tachyon condensation on a bosonic D-brane was recently demonstrated numerically in Witten's open string field theory with level truncation approximation. This non-perturbative vacuum, which is obtained by solving the equation of motion, has to satisfy furthermore the requirement of BRST invariance. This is indispensable in order for the theory around the non-perturbative vacuum to be consistent. We carry out the numerical analysis of the BRST invariance of the solution and find that it holds to a good accuracy. We also mention the zero-norm property of the solution. The observations in this paper are expected to give clues to the analytic expression of the vacuum solution. |
0801.0845 | Satoshi Ohya | C. S. Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto
Sakamoto | Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with
Extra Dimensions | REVTeX4, 17 pages, 1 figure | Phys.Rev.D77:065009,2008 | 10.1103/PhysRevD.77.065009 | KOBE-TH-07-09 | hep-th | null | We study compactified pure gauge/gravitational theories with gauge-fixing
terms and show that these theories possess quantum mechanical SUSY-like
symmetries between unphysical degrees of freedom. These residual symmetries are
global symmetries and generated by quantum mechanical N=2 supercharges. Also,
we establish new one-parameter family of gauge choices for higher-dimensional
gravity, and calculate as a check of its validity one graviton exchange
amplitude in the lowest tree-level approximation. We confirm that the result is
indeed $\xi$-independent and the cancellation of the $\xi$-dependence is
ensured by the residual symmetries. We also give a simple interpretation of the
vDVZ-discontinuity, which arises in the lowest tree-level approximation, from
the supersymmetric point of view.
| [
{
"created": "Sun, 6 Jan 2008 08:14:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lim",
"C. S.",
""
],
[
"Nagasawa",
"Tomoaki",
""
],
[
"Ohya",
"Satoshi",
""
],
[
"Sakamoto",
"Kazuki",
""
],
[
"Sakamoto",
"Makoto",
""
]
] | We study compactified pure gauge/gravitational theories with gauge-fixing terms and show that these theories possess quantum mechanical SUSY-like symmetries between unphysical degrees of freedom. These residual symmetries are global symmetries and generated by quantum mechanical N=2 supercharges. Also, we establish new one-parameter family of gauge choices for higher-dimensional gravity, and calculate as a check of its validity one graviton exchange amplitude in the lowest tree-level approximation. We confirm that the result is indeed $\xi$-independent and the cancellation of the $\xi$-dependence is ensured by the residual symmetries. We also give a simple interpretation of the vDVZ-discontinuity, which arises in the lowest tree-level approximation, from the supersymmetric point of view. |
0712.0791 | Oscar J. C. Dias | Oscar J.C. Dias, Roberto Emparan, Alessandro Maccarrone | Microscopic Theory of Black Hole Superradiance | 33 pages, 1 figure. v2: minor corrections | Phys.Rev.D77:064018,2008 | 10.1103/PhysRevD.77.064018 | null | hep-th | null | We study how black hole superradiance appears in string microscopic models of
rotating black holes. In order to disentangle superradiance from
finite-temperature effects, we consider an extremal, rotating D1-D5-P black
hole that has an ergosphere and is not supersymmetric. We explain how the
microscopic dual accounts for the superradiant ergosphere of this black hole.
The bound 0< omega < m Omega_H on superradiant mode frequencies is argued to be
a consequence of Fermi-Dirac statistics for the spin-carrying degrees of
freedom in the dual CFT. We also compute the superradiant emission rates from
both sides of the correspondence, and show their agreement.
| [
{
"created": "Wed, 5 Dec 2007 18:30:42 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Dec 2007 23:04:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Maccarrone",
"Alessandro",
""
]
] | We study how black hole superradiance appears in string microscopic models of rotating black holes. In order to disentangle superradiance from finite-temperature effects, we consider an extremal, rotating D1-D5-P black hole that has an ergosphere and is not supersymmetric. We explain how the microscopic dual accounts for the superradiant ergosphere of this black hole. The bound 0< omega < m Omega_H on superradiant mode frequencies is argued to be a consequence of Fermi-Dirac statistics for the spin-carrying degrees of freedom in the dual CFT. We also compute the superradiant emission rates from both sides of the correspondence, and show their agreement. |
1306.0432 | Alessandro Tanzini | Giulio Bonelli, Antonio Sciarappa, Alessandro Tanzini and Petr Vasko | The Stringy Instanton Partition Function | 30+1 pages;v2: references added;v3: added comments, version to appear
in JHEP | null | 10.1007/JHEP01(2014)038 | SISSA 26/2013/FISI-MATE | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform an exact computation of the gauged linear sigma model associated
to a D1-D5 brane system on a resolved A_1 singularity. This is accomplished via
supersymmetric localization on the blown-up two-sphere. We show that in the
blow-down limit C^2/Z_2 the partition function reduces to the Nekrasov
partition function evaluating the equivariant volume of the instanton moduli
space. For finite radius we obtain a tower of world-sheet instanton
corrections, that we identify with the equivariant Gromov-Witten invariants of
the ADHM moduli space. We show that these corrections can be encoded in a
deformation of the Seiberg-Witten prepotential. From the mathematical
viewpoint, the D1-D5 system under study displays a twofold nature: the
D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM
instanton moduli space in the Givental formalism, and the D5-branes viewpoint
is related to higher rank equivariant Donaldson-Thomas invariants of P^1 x C^2.
| [
{
"created": "Mon, 3 Jun 2013 14:27:44 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jul 2013 09:39:28 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Dec 2013 12:07:48 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Bonelli",
"Giulio",
""
],
[
"Sciarappa",
"Antonio",
""
],
[
"Tanzini",
"Alessandro",
""
],
[
"Vasko",
"Petr",
""
]
] | We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved A_1 singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit C^2/Z_2 the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of P^1 x C^2. |
0803.0319 | Marco Frasca | Marco Frasca | Infrared QCD | 8 pages, 2 figures. Version accepted for publication in International
Journal of Modern Physics E | Int.J.Mod.Phys.E18:693-703,2009 | 10.1142/S0218301309012781 | null | hep-th hep-lat nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that Nambu-Jona-Lasinio model is an exact description of infrared
QCD deriving it from QCD Lagrangian. The model we obtain is renormalizable and
confining but, taking very small momenta fixes completely all the parameters of
the Nambu-Jona-Lasinio model through those of QCD. The choice of the infrared
propagator is done consistently with recent numerical results from lattice and
Dyson-Schwinger equations for Yang-Mills theory. The model we get coincides,
once the ultraviolet contribution is removed, with the one proposed by
Langfeld, Kettner and Reinhardt [Nucl. Phys. A {\bf 608}, 331 (1996)].
| [
{
"created": "Mon, 3 Mar 2008 20:58:20 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2008 15:57:07 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Mar 2008 10:26:08 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Apr 2008 10:04:11 GMT",
"version": "v4"
},
{
"created": "Fri, 29 Aug 2008 14:25:11 GMT",
"version": "v5"
}
] | 2011-08-08 | [
[
"Frasca",
"Marco",
""
]
] | We prove that Nambu-Jona-Lasinio model is an exact description of infrared QCD deriving it from QCD Lagrangian. The model we obtain is renormalizable and confining but, taking very small momenta fixes completely all the parameters of the Nambu-Jona-Lasinio model through those of QCD. The choice of the infrared propagator is done consistently with recent numerical results from lattice and Dyson-Schwinger equations for Yang-Mills theory. The model we get coincides, once the ultraviolet contribution is removed, with the one proposed by Langfeld, Kettner and Reinhardt [Nucl. Phys. A {\bf 608}, 331 (1996)]. |
hep-th/0611276 | Marco Frasca | Marco Frasca | Proof of triviality of $\lambda\phi^4$ theory | 5 pages, 1 figure. Updated references and added some more. Comparison
with lattice data of the gluon propagator is given finding excellent
agreement. Accepted for publication in International Journal of Modern
Physics A | Int.J.Mod.Phys.A22:2433-2439,2007 | 10.1142/S0217751X07036427 | null | hep-th hep-lat hep-ph math-ph math.MP | null | We show that a recent analysis in the strong coupling limit of the
$\lambda\phi^4$ theory proves that this theory is indeed trivial giving in this
limit the expansion of a free quantum field theory. We can get in this way the
propagator with the renormalization constant and the renormalized mass. As
expected the theory in this limit has the same spectrum as a harmonic
oscillator. Some comments about triviality of the Yang-Mills theory in the
infrared are also given.
| [
{
"created": "Sun, 26 Nov 2006 10:26:00 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Dec 2006 13:56:42 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Feb 2007 08:44:48 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Feb 2007 13:57:34 GMT",
"version": "v4"
},
{
"created": "Wed, 21 Mar 2007 22:22:36 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Frasca",
"Marco",
""
]
] | We show that a recent analysis in the strong coupling limit of the $\lambda\phi^4$ theory proves that this theory is indeed trivial giving in this limit the expansion of a free quantum field theory. We can get in this way the propagator with the renormalization constant and the renormalized mass. As expected the theory in this limit has the same spectrum as a harmonic oscillator. Some comments about triviality of the Yang-Mills theory in the infrared are also given. |
hep-th/0205061 | Dario Martelli | Dario Martelli and Wolfgang Mueck | Holographic Renormalization and Ward Identities with the Hamilton-Jacobi
Method | 31 pages; v2: references added. Version published in Nuclear Physics
B | Nucl.Phys.B654:248-276,2003 | 10.1016/S0550-3213(03)00060-9 | QMUL-PH-02-11, DSF-11-2002 | hep-th | null | A systematic procedure for performing holographic renormalization, which
makes use of the Hamilton-Jacobi method, is proposed and applied to a bulk
theory of gravity interacting with a scalar field and a U(1) gauge field in the
Stueckelberg formalism. We describe how the power divergences are obtained as
solutions of a set of "descent equations" stemming from the radial Hamiltonian
constraint of the theory. In addition, we isolate the logarithmic divergences,
which are closely related to anomalies. The method allows to determine also the
exact one-point functions of the dual field theory. Using the other Hamiltonian
constraints of the bulk theory, we derive the Ward identities for
diffeomorphisms and gauge invariance. In particular, we demonstrate the
breaking of U(1)_R current conservation, recovering the holographic chiral
anomaly recently discussed in hep-th/0112119 and hep-th/0202056.
| [
{
"created": "Tue, 7 May 2002 13:35:06 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Feb 2003 19:26:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Martelli",
"Dario",
""
],
[
"Mueck",
"Wolfgang",
""
]
] | A systematic procedure for performing holographic renormalization, which makes use of the Hamilton-Jacobi method, is proposed and applied to a bulk theory of gravity interacting with a scalar field and a U(1) gauge field in the Stueckelberg formalism. We describe how the power divergences are obtained as solutions of a set of "descent equations" stemming from the radial Hamiltonian constraint of the theory. In addition, we isolate the logarithmic divergences, which are closely related to anomalies. The method allows to determine also the exact one-point functions of the dual field theory. Using the other Hamiltonian constraints of the bulk theory, we derive the Ward identities for diffeomorphisms and gauge invariance. In particular, we demonstrate the breaking of U(1)_R current conservation, recovering the holographic chiral anomaly recently discussed in hep-th/0112119 and hep-th/0202056. |
2404.11648 | Fanky Zhu | Jin Dong, Xiang Li and Fan Zhu | Pions from higher-dimensional gluons: general realizations and stringy
models | 26 pages. v2: Published version with some clarifications, fixed
typos, and added references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we revisit the general phenomenon that scattering amplitudes of
pions can be obtained from "dimensional reduction" of gluons in higher
dimensions in a more general context. We show that such "dimensional reduction"
operations universally turn gluons into pions regardless of details of
interactions: under such operations any amplitude that is gauge invariant and
contains only local simple poles becomes one that satisfies Adler zero in the
soft limit. As two such examples, we show that starting from gluon amplitudes
in both superstring and bosonic string theories, the operations produce
"stringy" completion of pion scattering amplitudes to all orders in $\alpha'$,
with leading order given by non-linear sigma model amplitudes. Via
Kawai-Lewellen-Tye relations, they give closed-stringy completion for
Born-Infeld theory and the special Galileon theory, which are directly related
to gravity amplitudes in closed-string theories. We also discuss how they
naturally produce stringy models for mixed amplitudes of pions and colored
scalars.
| [
{
"created": "Wed, 17 Apr 2024 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jul 2024 08:58:43 GMT",
"version": "v2"
}
] | 2024-07-22 | [
[
"Dong",
"Jin",
""
],
[
"Li",
"Xiang",
""
],
[
"Zhu",
"Fan",
""
]
] | In this paper we revisit the general phenomenon that scattering amplitudes of pions can be obtained from "dimensional reduction" of gluons in higher dimensions in a more general context. We show that such "dimensional reduction" operations universally turn gluons into pions regardless of details of interactions: under such operations any amplitude that is gauge invariant and contains only local simple poles becomes one that satisfies Adler zero in the soft limit. As two such examples, we show that starting from gluon amplitudes in both superstring and bosonic string theories, the operations produce "stringy" completion of pion scattering amplitudes to all orders in $\alpha'$, with leading order given by non-linear sigma model amplitudes. Via Kawai-Lewellen-Tye relations, they give closed-stringy completion for Born-Infeld theory and the special Galileon theory, which are directly related to gravity amplitudes in closed-string theories. We also discuss how they naturally produce stringy models for mixed amplitudes of pions and colored scalars. |
hep-th/9507008 | null | A. Brandhuber, K. Landsteiner | On the Monodromies of N=2 Supersymmetric Yang-Mills Theory with Gauge
Group SO(2n) | 14 pages, 5 Postscript figures, LaTeX file, uses epsf.sty | Phys.Lett. B358 (1995) 73-80 | 10.1016/0370-2693(95)00986-U | CERN-TH/95-180 | hep-th | null | We present families of algebraic curves describing the moduli-space of
$N\!=\!2$ supersymmetric Yang-Mills theory with gauge group $SO(2n)$. We test
our curves by computing the weak coupling monodromies and the number of
$N\!=\!1$ vacua.
| [
{
"created": "Mon, 3 Jul 1995 17:32:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Brandhuber",
"A.",
""
],
[
"Landsteiner",
"K.",
""
]
] | We present families of algebraic curves describing the moduli-space of $N\!=\!2$ supersymmetric Yang-Mills theory with gauge group $SO(2n)$. We test our curves by computing the weak coupling monodromies and the number of $N\!=\!1$ vacua. |
hep-th/0106042 | Nikita Nekrasov | L. Baulieu, A. Losev, N. Nekrasov | Target space symmetries in topological theories I | 22pp, one picture; refs added, typos corrected | JHEP 0202 (2002) 021 | 10.1088/1126-6708/2002/02/021 | IHES-NN02/01, ITEP-TH-74/00 | hep-th | null | We study realization of the target space diffeomorphisms in the type $C$
topological string. We found that the charges, which generate transformations
of the boundary observables, form an algebra, which differs from that of bulk
charges by the contribution of the bubbled disks. We discuss applications to
noncommutative field theories.
| [
{
"created": "Tue, 5 Jun 2001 18:16:25 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2002 14:37:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Baulieu",
"L.",
""
],
[
"Losev",
"A.",
""
],
[
"Nekrasov",
"N.",
""
]
] | We study realization of the target space diffeomorphisms in the type $C$ topological string. We found that the charges, which generate transformations of the boundary observables, form an algebra, which differs from that of bulk charges by the contribution of the bubbled disks. We discuss applications to noncommutative field theories. |
hep-th/0004118 | Kei-Ichi Kondo | Kei-Ichi Kondo (Chiba Univ.) | Quark Confinement and Deconfinement Transition in Large Flavor QCD | 10 pages, 1 figure, Invited talk presented at TMU-Yale Symposium on
Dynamics of Gauge Fields, held on December 13-15, 1999 | null | null | CHIBA-EP-119 | hep-th hep-lat | null | We give a new criterion of quark confinement/deconfinement by deriving a
low-energy effective theory of QCD. The effective theory can explain Abelian
dominance in low-energy physics of QCD, especially, quark confinement. Finally,
we apply the above criterion to the large flavor QCD and discuss its phase
structure. The result suggests the existence of conformal phase.
| [
{
"created": "Mon, 17 Apr 2000 04:12:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ."
]
] | We give a new criterion of quark confinement/deconfinement by deriving a low-energy effective theory of QCD. The effective theory can explain Abelian dominance in low-energy physics of QCD, especially, quark confinement. Finally, we apply the above criterion to the large flavor QCD and discuss its phase structure. The result suggests the existence of conformal phase. |
hep-th/9902032 | Costas Kounnas | Ignatios Antoniadis, J.-Pierre Derendinger, Costas Kounnas | Non-perturbative Temperature Instabilities in N=4 Strings | 45 pages, LATEX file, no figures | Nucl.Phys.B551:41-77,1999 | 10.1016/S0550-3213(99)00171-6 | CERN--TH/99-20, LPTENS-98/48, CPTH-S706.1298, NEIP--98--021 | hep-th | null | We derive a universal thermal effective potential, which describes all
possible high-temperature instabilities of the known N=4 superstrings, using
the properties of gauged N=4 supergravity. These instabilities are due to three
non-perturbative thermal dyonic modes, which become tachyonic in a region of
the thermal moduli space. The latter is described by three moduli, s,t,u, which
are common to all non-perturbative dual-equivalent strings with N=4
supersymmetry in five dimensions: the heterotic on T^4xS^1, the type IIA on
K3xS^1, the type IIB on K3xS^1 and the type I on T^4x S^1. The non-perturbative
instabilities are analysed. These strings undergo a high-temperature transition
to a new phase in which five-branes condense. This phase is described in
detail, using both the effective supergravity and non-critical string theory in
six dimensions. In the new phase, supersymmetry is perturbatively restored but
broken at the non-perturbative level. In the infinite-temperature limit the
theory is topological with an N=2 supersymmetry based on a topologically
non-trivial hyper-Kahler manifold.
| [
{
"created": "Wed, 3 Feb 1999 16:42:21 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Derendinger",
"J. -Pierre",
""
],
[
"Kounnas",
"Costas",
""
]
] | We derive a universal thermal effective potential, which describes all possible high-temperature instabilities of the known N=4 superstrings, using the properties of gauged N=4 supergravity. These instabilities are due to three non-perturbative thermal dyonic modes, which become tachyonic in a region of the thermal moduli space. The latter is described by three moduli, s,t,u, which are common to all non-perturbative dual-equivalent strings with N=4 supersymmetry in five dimensions: the heterotic on T^4xS^1, the type IIA on K3xS^1, the type IIB on K3xS^1 and the type I on T^4x S^1. The non-perturbative instabilities are analysed. These strings undergo a high-temperature transition to a new phase in which five-branes condense. This phase is described in detail, using both the effective supergravity and non-critical string theory in six dimensions. In the new phase, supersymmetry is perturbatively restored but broken at the non-perturbative level. In the infinite-temperature limit the theory is topological with an N=2 supersymmetry based on a topologically non-trivial hyper-Kahler manifold. |
hep-th/0412180 | Maro Cvitan | M. Cvitan, S. Pallua | Conformal entropy for generalised gravity theories as a consequence of
horizon properties | 9 pages, appendix added | Phys.Rev. D71 (2005) 104032 | 10.1103/PhysRevD.71.104032 | ZTF 04-04 | hep-th gr-qc | null | We show that microscopic entropy formula based on Virasoro algebra follows
from properties of stationary Killing horizons for Lagrangians with arbitrary
dependence on Riemann tensor. The properties used are consequence of regularity
of invariants of Riemann tensor on the horizon. Eventual generalisation of
these results to Lagrangians with derivatives of Riemann tensor, as suggested
by an example treated in the paper, relies on assuming regularity of invariants
involving derivatives of Riemann tensor. This assumption however leads also to
new interesting restrictions on metric functions near horizon.
| [
{
"created": "Thu, 16 Dec 2004 16:02:16 GMT",
"version": "v1"
},
{
"created": "Fri, 6 May 2005 17:13:58 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cvitan",
"M.",
""
],
[
"Pallua",
"S.",
""
]
] | We show that microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are consequence of regularity of invariants of Riemann tensor on the horizon. Eventual generalisation of these results to Lagrangians with derivatives of Riemann tensor, as suggested by an example treated in the paper, relies on assuming regularity of invariants involving derivatives of Riemann tensor. This assumption however leads also to new interesting restrictions on metric functions near horizon. |
hep-th/9901035 | Zhou Bang Rong | Bang-Rong Zhou | Nambu-Goldstone Mechanism in Real-Time Thermal Field Theory | 11 pages, revtex, no figure, Phys. Rev. D, to appear | Phys.Rev.D59:065007,1999 | 10.1103/PhysRevD.59.065007 | IC/98/113 | hep-th | null | In a one-generation fermion condensate scheme of electroweak symmetry
breaking, it is proven based on Schwinger-Dyson equation in the real-time
thermal field theory in the fermion bubble diagram approximation that, at
finite temperature $T$ below the symmetry restoration temperature $T_c$, a
massive Higgs boson and three massless Nambu-Goldstone bosons could emerge from
the spontaneous breaking of electroweak group $SU_L(2)\times U_Y(1) \to U_Q(1)$
if the two fermion flavors in the one generation are mass-degenerate, thus
Goldstone Theorem is rigorously valid in this case. However, if the two fermion
flavors have unequal masses, owing to "thermal flactuation", the Goldstone
Theorem will be true only approximately for a very large momentum cut-off
$\Lambda$ in zero temperature fermion loop or for low energy scales. All
possible pinch singularities are proven to cancel each other, as is expected in
a real-time thermal field theory.
| [
{
"created": "Mon, 11 Jan 1999 07:10:52 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Zhou",
"Bang-Rong",
""
]
] | In a one-generation fermion condensate scheme of electroweak symmetry breaking, it is proven based on Schwinger-Dyson equation in the real-time thermal field theory in the fermion bubble diagram approximation that, at finite temperature $T$ below the symmetry restoration temperature $T_c$, a massive Higgs boson and three massless Nambu-Goldstone bosons could emerge from the spontaneous breaking of electroweak group $SU_L(2)\times U_Y(1) \to U_Q(1)$ if the two fermion flavors in the one generation are mass-degenerate, thus Goldstone Theorem is rigorously valid in this case. However, if the two fermion flavors have unequal masses, owing to "thermal flactuation", the Goldstone Theorem will be true only approximately for a very large momentum cut-off $\Lambda$ in zero temperature fermion loop or for low energy scales. All possible pinch singularities are proven to cancel each other, as is expected in a real-time thermal field theory. |
1706.08755 | Zohar Komargodski | Zohar Komargodski and Nathan Seiberg | A Symmetry Breaking Scenario for QCD$_3$ | 25 pages, 6 figures. v2 added references, minor corrections, new
material about symmetry breaking in U(1) gauge theories | null | 10.1007/JHEP01(2018)109 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dynamics of 2+1 dimensional $SU(N)$ gauge theory with
Chern-Simons level $k$ and $N_f$ fundamental fermions. By requiring consistency
with previously suggested dualities for $N_f\leq 2k$ as well as the dynamics at
$k=0$ we propose that the theory with $N_f> 2k$ breaks the $U(N_f)$ global
symmetry spontaneously to $U(N_f/2+k)\times U(N_f/2-k)$. In contrast to the 3+1
dimensional case, the symmetry breaking takes place in a range of quark masses
and not just at one point. The target space never becomes parametrically large
and the Nambu-Goldstone bosons are therefore not visible semi-classically. Such
symmetry breaking is argued to take place in some intermediate range of the
number of flavors, $2k< N_f< N_*(N,k)$, with the upper limit $N_*$ obeying
various constraints. The Lagrangian for the Nambu-Goldstone bosons has to be
supplemented by nontrivial Wess-Zumino terms that are necessary for the
consistency of the picture, even at $k=0$. Furthermore, we suggest two scalar
dual theories in this range of $N_f$. A similar picture is developed for
$SO(N)$ and $Sp(N)$ gauge theories. It sheds new light on monopole condensation
and confinement in the $SO(N)$ and $Spin(N)$ theories.
| [
{
"created": "Tue, 27 Jun 2017 09:45:29 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2017 02:37:00 GMT",
"version": "v2"
}
] | 2018-03-14 | [
[
"Komargodski",
"Zohar",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We consider the dynamics of 2+1 dimensional $SU(N)$ gauge theory with Chern-Simons level $k$ and $N_f$ fundamental fermions. By requiring consistency with previously suggested dualities for $N_f\leq 2k$ as well as the dynamics at $k=0$ we propose that the theory with $N_f> 2k$ breaks the $U(N_f)$ global symmetry spontaneously to $U(N_f/2+k)\times U(N_f/2-k)$. In contrast to the 3+1 dimensional case, the symmetry breaking takes place in a range of quark masses and not just at one point. The target space never becomes parametrically large and the Nambu-Goldstone bosons are therefore not visible semi-classically. Such symmetry breaking is argued to take place in some intermediate range of the number of flavors, $2k< N_f< N_*(N,k)$, with the upper limit $N_*$ obeying various constraints. The Lagrangian for the Nambu-Goldstone bosons has to be supplemented by nontrivial Wess-Zumino terms that are necessary for the consistency of the picture, even at $k=0$. Furthermore, we suggest two scalar dual theories in this range of $N_f$. A similar picture is developed for $SO(N)$ and $Sp(N)$ gauge theories. It sheds new light on monopole condensation and confinement in the $SO(N)$ and $Spin(N)$ theories. |
hep-th/9609233 | Peter Bowcock | P. Bowcock (Durham University) | Classical backgrounds and scattering for affine Toda theory on a
half-line | Latex document, 28 pages, 3 figures included | JHEP 9805:008,1998 | 10.1088/1126-6708/1998/05/008 | DTP 96-37 | hep-th | null | We find classical solutions to the simply-laced affine Toda equations which
satisfy integrable boundary conditions using solitons which are analytically
continued from imaginary coupling theories. Both static `vacuum' configurations
and the time-dependent perturbations about them which correspond to classical
vacua and particle scattering solutions respectively are considered. A large
class of classical scattering matrices are calculated and found to satisfy the
reflection bootstrap equation.
| [
{
"created": "Mon, 30 Sep 1996 16:49:41 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Bowcock",
"P.",
"",
"Durham University"
]
] | We find classical solutions to the simply-laced affine Toda equations which satisfy integrable boundary conditions using solitons which are analytically continued from imaginary coupling theories. Both static `vacuum' configurations and the time-dependent perturbations about them which correspond to classical vacua and particle scattering solutions respectively are considered. A large class of classical scattering matrices are calculated and found to satisfy the reflection bootstrap equation. |
2312.17322 | Lakshya Bhardwaj | Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schafer-Nameki | The Club Sandwich: Gapless Phases and Phase Transitions with
Non-Invertible Symmetries | 57 pages | null | null | null | hep-th cond-mat.str-el math.CT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a generalization of the Symmetry Topological Field Theory (SymTFT)
framework to characterize phase transitions and gapless phases with categorical
symmetries. The central tool is the club sandwich, which extends the SymTFT
setup to include an interface between two topological orders: there is a
symmetry boundary, which is gapped, and a physical boundary that may be
gapless, but in addition, there is also a gapped interface in the middle. The
club sandwich generalizes so-called Kennedy-Tasaki (KT) transformations.
Building on the results in [1, 2] on gapped phases with categorical symmetries,
we construct gapless theories describing phase transitions with non-invertible
symmetries by applying suitable KT transformations on known phase transitions
provided by the critical Ising model and the 3-state Potts model. We also
describe in detail the order parameters in these gapless theories
characterizing the phase transitions, which are generally mixtures of
conventional and string-type order parameters mixed together by the action of
categorical symmetries. Additionally, removing the physical boundary from the
club sandwiches results in club quiches, which characterize all possible gapped
boundary phases with (possibly non-invertible) symmetries that can arise on the
boundary of a bulk gapped phase. We also provide a mathematical
characterization of gapped boundary phases with symmetries as pivotal tensor
functors whose targets are pivotal multi-fusion categories.
| [
{
"created": "Thu, 28 Dec 2023 19:00:13 GMT",
"version": "v1"
}
] | 2024-01-01 | [
[
"Bhardwaj",
"Lakshya",
""
],
[
"Bottini",
"Lea E.",
""
],
[
"Pajer",
"Daniel",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | We provide a generalization of the Symmetry Topological Field Theory (SymTFT) framework to characterize phase transitions and gapless phases with categorical symmetries. The central tool is the club sandwich, which extends the SymTFT setup to include an interface between two topological orders: there is a symmetry boundary, which is gapped, and a physical boundary that may be gapless, but in addition, there is also a gapped interface in the middle. The club sandwich generalizes so-called Kennedy-Tasaki (KT) transformations. Building on the results in [1, 2] on gapped phases with categorical symmetries, we construct gapless theories describing phase transitions with non-invertible symmetries by applying suitable KT transformations on known phase transitions provided by the critical Ising model and the 3-state Potts model. We also describe in detail the order parameters in these gapless theories characterizing the phase transitions, which are generally mixtures of conventional and string-type order parameters mixed together by the action of categorical symmetries. Additionally, removing the physical boundary from the club sandwiches results in club quiches, which characterize all possible gapped boundary phases with (possibly non-invertible) symmetries that can arise on the boundary of a bulk gapped phase. We also provide a mathematical characterization of gapped boundary phases with symmetries as pivotal tensor functors whose targets are pivotal multi-fusion categories. |
1807.04601 | Manoranjan Samal | Kamal L. Panigrahi, Manoranjan Samal | Finite Size Effect from Classical Strings in deformed AdS$_3\times$
S$^3$ | to appear in JHEP | null | 10.1007/JHEP09(2018)162 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the finite size effect of rigidly rotating and spinning folded
strings in $(AdS_3\times S^3)_{\varkappa}$ background. We calculate the leading
order exponential corrections to the infinite size dispersion relation of the
giant magnon, and single spike solutions. For the spinning folded strings we
write the finite size effect in terms of the known Lambert $W$-function.
| [
{
"created": "Thu, 12 Jul 2018 13:35:33 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2018 16:00:50 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Sep 2018 13:59:24 GMT",
"version": "v3"
}
] | 2018-10-17 | [
[
"Panigrahi",
"Kamal L.",
""
],
[
"Samal",
"Manoranjan",
""
]
] | We study the finite size effect of rigidly rotating and spinning folded strings in $(AdS_3\times S^3)_{\varkappa}$ background. We calculate the leading order exponential corrections to the infinite size dispersion relation of the giant magnon, and single spike solutions. For the spinning folded strings we write the finite size effect in terms of the known Lambert $W$-function. |
1712.09863 | Janosh Riebesell | Janosh Riebesell | Functional Renormalization Analytically Continued | 64 pages, 12 figures, 1 table, 299 equations, master thesis on the
analytic continuation of functional renormalization group equations | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a method to analytically continue functional renormalization group
equations from imaginary Matsubara frequencies to the real frequency axis. In
this formalism, we investigate the analytic structure of the flowing action and
the propagator for a theory of scalar fields with $O(N)$ symmetry. We go on to
show how it is possible to derive and solve flow equations for real-time
properties such as particle decay widths. Our treatment is fully
Lorentz-invariant and enables an improved, self-consistent derivative expansion
in Minkowski space.
| [
{
"created": "Thu, 28 Dec 2017 14:01:50 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2018 11:26:14 GMT",
"version": "v2"
}
] | 2018-01-26 | [
[
"Riebesell",
"Janosh",
""
]
] | We discuss a method to analytically continue functional renormalization group equations from imaginary Matsubara frequencies to the real frequency axis. In this formalism, we investigate the analytic structure of the flowing action and the propagator for a theory of scalar fields with $O(N)$ symmetry. We go on to show how it is possible to derive and solve flow equations for real-time properties such as particle decay widths. Our treatment is fully Lorentz-invariant and enables an improved, self-consistent derivative expansion in Minkowski space. |
1211.0010 | Andreas Karch | Stefan Janiszewski and Andreas Karch | String theory embeddings of non-relativistic field theories and their
holographic Horava gravity duals | 5 pages, no figures; v2: hacek placement corrected | null | 10.1103/PhysRevLett.110.081601 | null | hep-th cond-mat.mes-hall gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that generic non-relativistic quantum field theories have a
holographic description in terms of Horava gravity. We construct explicit
examples of this duality embedded in string theory by starting with
relativistic dual pairs and taking a non-relativistic scaling limit.
| [
{
"created": "Wed, 31 Oct 2012 20:00:11 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Nov 2012 22:03:06 GMT",
"version": "v2"
}
] | 2013-03-14 | [
[
"Janiszewski",
"Stefan",
""
],
[
"Karch",
"Andreas",
""
]
] | We argue that generic non-relativistic quantum field theories have a holographic description in terms of Horava gravity. We construct explicit examples of this duality embedded in string theory by starting with relativistic dual pairs and taking a non-relativistic scaling limit. |
2208.02497 | Ryotaku Suzuki | Ryotaku Suzuki and Shinya Tomizawa | Einstein-Gauss-Bonnet black strings at large $\alpha$ | 24 pages, 17 figures; v2: minor modifications, references added, 25
pages | null | 10.1007/JHEP09(2022)135 | TTI-MATHPHYS-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The simplest black string in higher-dimensional general relativity (GR) is
perhaps the direct product of a Schwarzschild spacetime and a flat spatial
direction. However, it is known that the Einstein-Gauss-Bonnet theory does not
allow such a trivial and simple solution. We propose a novel analytic
technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over
the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant
$\alpha$ normalized by the horizon scale is large enough, we find that the
spacetime is separated into the GB region and GR region, which are matched via
the transition region where the GB and EH terms are comparable. Using this
large $\alpha$ approximation, we indeed construct new analytic solutions of
black strings, from which we analytically compute various physical quantities
of black strings at large $\alpha$. Moreover, we confirm that all these
analytic results are consistent with the numerical calculation. We also discuss
the possible extension to general Einstein-Lovelock black holes.
| [
{
"created": "Thu, 4 Aug 2022 07:12:57 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2022 23:14:06 GMT",
"version": "v2"
}
] | 2022-10-19 | [
[
"Suzuki",
"Ryotaku",
""
],
[
"Tomizawa",
"Shinya",
""
]
] | The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel analytic technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant $\alpha$ normalized by the horizon scale is large enough, we find that the spacetime is separated into the GB region and GR region, which are matched via the transition region where the GB and EH terms are comparable. Using this large $\alpha$ approximation, we indeed construct new analytic solutions of black strings, from which we analytically compute various physical quantities of black strings at large $\alpha$. Moreover, we confirm that all these analytic results are consistent with the numerical calculation. We also discuss the possible extension to general Einstein-Lovelock black holes. |
1902.10161 | Andrea Prudenziati | Andrea Prudenziati | A geodesic Witten diagram description of holographic entanglement
entropy and its quantum corrections | 25 pages, v3: subsection 3.1 and some clarifications have been added.
Matches the version to be published on JHEP | null | 10.1007/JHEP06(2019)059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the formalism of geodesic Witten diagrams to study the holographic
realization of the conformal block expansion for entanglement entropy of two
disjoint intervals. The agreement between the Ryu-Takayanagi formula and the
identity block contribution has a dual realization as the product of bulk to
boundary propagators. Quantum bulk corrections instead arise from stripped
higher order diagrams and back-reaction effects; these are also mapped to the
structure for $G_N^0$ terms found in \cite{Faulkner:2013ana}, with the former
identified as the bulk entanglement entropy across the Ryu-Takayanagi surfaces.
An independent derivation of this last statement is provided by implementing a
twist-line formalism in the bulk, and additional checks from the computation of
mutual information and single interval entanglement entropy. Finally an
interesting correspondence is found between the recently proposed holographic
entanglement of purification, and an approximated form for certain $1/c$ Renyi
entropies corrections.
| [
{
"created": "Tue, 26 Feb 2019 19:03:51 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Apr 2019 17:57:08 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jun 2019 15:00:53 GMT",
"version": "v3"
}
] | 2019-07-24 | [
[
"Prudenziati",
"Andrea",
""
]
] | We use the formalism of geodesic Witten diagrams to study the holographic realization of the conformal block expansion for entanglement entropy of two disjoint intervals. The agreement between the Ryu-Takayanagi formula and the identity block contribution has a dual realization as the product of bulk to boundary propagators. Quantum bulk corrections instead arise from stripped higher order diagrams and back-reaction effects; these are also mapped to the structure for $G_N^0$ terms found in \cite{Faulkner:2013ana}, with the former identified as the bulk entanglement entropy across the Ryu-Takayanagi surfaces. An independent derivation of this last statement is provided by implementing a twist-line formalism in the bulk, and additional checks from the computation of mutual information and single interval entanglement entropy. Finally an interesting correspondence is found between the recently proposed holographic entanglement of purification, and an approximated form for certain $1/c$ Renyi entropies corrections. |
hep-th/0701037 | Debashis Gangopadhyay | D.Gangopadhyay, A.P.Isaev | On the harmonic oscillator realisation of q-oscillators | 7 pages, Latex | JINR Rapid Commun.45:35-40,1990 | null | null | hep-th | null | The general version of the bosonic harmonic oscillator realisation of bosonic
q-oscillators is given. It is shown that the currently known realisation is a
special case of our general solution.
The investigation has been performed at the Laboratory of theoretical
Physics,JINR.
| [
{
"created": "Fri, 5 Jan 2007 06:41:38 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Gangopadhyay",
"D.",
""
],
[
"Isaev",
"A. P.",
""
]
] | The general version of the bosonic harmonic oscillator realisation of bosonic q-oscillators is given. It is shown that the currently known realisation is a special case of our general solution. The investigation has been performed at the Laboratory of theoretical Physics,JINR. |
hep-th/0203258 | Andres Gomberoff | Claudio Teitelboim | Gravitational Thermodynamics of Schwarzschild-de Sitter Space | 10 pages. To be published in the proceedings of the Francqui
Colloquium "Strings and Gravity: Tying the Forces Together", Brussels,
October 19 - 21, 2001. Edited by Marc Henneaux and Alexander Sevrin | null | null | CECS-PHY-02/01 | hep-th | null | The Euclidean Schwarzschild-de Sitter geometry may be considered as an
extremum of two different action principles. If the thermodynamical parameters
are held fixed at the cosmological horizon, one deals with the gravitational
thermodynamical effects of the black hole but ignores those of the cosmological
horizon. Conversely, if the macroscopical variables are held fixed at the black
hole horizon, it is only the cosmological horizon thermodynamics which is dealt
with. Both cases are analyzed. In particular, the internal energy U is
calculated in the semiclassical approximation as a function of the mass
parameter m of Schwarzschild de Sitter space. In the first case one finds U=+m,
while in the second one gets U=-m. This suggests that de Sitter space is
thermodynamically unstable under black hole formation.
| [
{
"created": "Wed, 27 Mar 2002 20:24:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Teitelboim",
"Claudio",
""
]
] | The Euclidean Schwarzschild-de Sitter geometry may be considered as an extremum of two different action principles. If the thermodynamical parameters are held fixed at the cosmological horizon, one deals with the gravitational thermodynamical effects of the black hole but ignores those of the cosmological horizon. Conversely, if the macroscopical variables are held fixed at the black hole horizon, it is only the cosmological horizon thermodynamics which is dealt with. Both cases are analyzed. In particular, the internal energy U is calculated in the semiclassical approximation as a function of the mass parameter m of Schwarzschild de Sitter space. In the first case one finds U=+m, while in the second one gets U=-m. This suggests that de Sitter space is thermodynamically unstable under black hole formation. |
1907.11132 | Fri{\dh}rik Freyr Gautason | Nikolay Bobev, Fri{\dh}rik Freyr Gautason, Krzysztof Pilch, Minwoo
Suh, and Jesse van Muiden | Janus and J-fold Solutions from Sasaki-Einstein Manifolds | 5 pages, 4 figures | Phys. Rev. D 100, 081901 (2019) | 10.1103/PhysRevD.100.081901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for every Sasaki-Einstein manifold, $M_5$, the AdS$_5\times M_5$
background of type IIB supergravity admits two universal deformations leading
to supersymmetric AdS$_4$ solutions. One class of solutions describes an
AdS$_4$ domain wall in AdS$_5$ and is dual to a Janus configuration with
$\mathcal{N}=1$ supersymmetry. The other class of backgrounds is of the form
AdS$_4\times S^1\times M_5$ with a non-trivial SL$(2,\mathbb{Z})$ monodromy for
the IIB axio-dilaton along the $S^1$. These AdS$_4$ solutions are dual to
three-dimensional $\mathcal{N}=1$ SCFTs. Using holography we express the $S^3$
free energy of these theories in terms of the conformal anomaly of the
four-dimensional $\mathcal{N}=1$ SCFT arising from D3-branes on the Calabi-Yau
cone over $M_5$.
| [
{
"created": "Thu, 25 Jul 2019 15:16:58 GMT",
"version": "v1"
}
] | 2019-10-23 | [
[
"Bobev",
"Nikolay",
""
],
[
"Gautason",
"Friðrik Freyr",
""
],
[
"Pilch",
"Krzysztof",
""
],
[
"Suh",
"Minwoo",
""
],
[
"van Muiden",
"Jesse",
""
]
] | We show that for every Sasaki-Einstein manifold, $M_5$, the AdS$_5\times M_5$ background of type IIB supergravity admits two universal deformations leading to supersymmetric AdS$_4$ solutions. One class of solutions describes an AdS$_4$ domain wall in AdS$_5$ and is dual to a Janus configuration with $\mathcal{N}=1$ supersymmetry. The other class of backgrounds is of the form AdS$_4\times S^1\times M_5$ with a non-trivial SL$(2,\mathbb{Z})$ monodromy for the IIB axio-dilaton along the $S^1$. These AdS$_4$ solutions are dual to three-dimensional $\mathcal{N}=1$ SCFTs. Using holography we express the $S^3$ free energy of these theories in terms of the conformal anomaly of the four-dimensional $\mathcal{N}=1$ SCFT arising from D3-branes on the Calabi-Yau cone over $M_5$. |
0803.2462 | Anatoly Konechny | Anatoly Konechny (Heriot-Watt University) | Open string radiation from decaying FZZT branes | 1+39 pages, Latex; v.2: minor improvements all over the text | JHEP 0808:011,2008 | 10.1088/1126-6708/2008/08/011 | EMPG 08-3 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue studying the decay of unstable FZZT branes
initiated in [1],[2]. The mass of tachyonic mode in this model can be chosen
arbitrarily small and we use it as a perturbative parameter. In [2] a
time-dependent boundary conformal field theory (BCFT) describing the decay
process was studied and it was shown that in a certain sense this BCFT
interpolates between two stationary BCFT's corresponding to the UV and IR fixed
points of the associated RG flow. In the present work we find in the leading
order vertex operators of the time-dependent BCFT. We identify the "in" and
"out" vertex operators assigned to the UV and IR fixed points and compute the
related Bogolyubov coefficients. We show that there is a codimension one
subspace of the out-going states for which pair creation amplitudes are
independent of the initial wave function of the tachyonic mode. We demonstrate
that such amplitudes can be computed within the framework of first quantized
open string theory via suitably defined string two-point functions. We also
evaluate a three point function which we interpret as an amplitude for string
triplet creation due to interaction. Some peculiarities of scattering
amplitudes in the presence of tachyonic modes in the far past are discussed.
| [
{
"created": "Mon, 17 Mar 2008 14:56:22 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2008 16:29:57 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Konechny",
"Anatoly",
"",
"Heriot-Watt University"
]
] | In this paper we continue studying the decay of unstable FZZT branes initiated in [1],[2]. The mass of tachyonic mode in this model can be chosen arbitrarily small and we use it as a perturbative parameter. In [2] a time-dependent boundary conformal field theory (BCFT) describing the decay process was studied and it was shown that in a certain sense this BCFT interpolates between two stationary BCFT's corresponding to the UV and IR fixed points of the associated RG flow. In the present work we find in the leading order vertex operators of the time-dependent BCFT. We identify the "in" and "out" vertex operators assigned to the UV and IR fixed points and compute the related Bogolyubov coefficients. We show that there is a codimension one subspace of the out-going states for which pair creation amplitudes are independent of the initial wave function of the tachyonic mode. We demonstrate that such amplitudes can be computed within the framework of first quantized open string theory via suitably defined string two-point functions. We also evaluate a three point function which we interpret as an amplitude for string triplet creation due to interaction. Some peculiarities of scattering amplitudes in the presence of tachyonic modes in the far past are discussed. |
hep-th/0312078 | Yin Lin | Yin Lin | On orbifold theory and N=2, D=5 gauged supergravity | 16 pages | JHEP 0401:041,2004 | 10.1088/1126-6708/2004/01/041 | null | hep-th | null | We have studied the most general N=2 supergravity in five dimensions in
context with the orbifold theory based on $M_4 \times S^1/Z_2$. Various ways to
treat the supersymmetry with singular sources placed in orbifold fixed points
were proposed in past. Supersymmetric branes were consistently introduced in a
bulk where a gauged supergravity was present. In this paper we find that in the
$N=2,D=5$ supergravity with general gauging, the possibility to obtain a
supersymmetric brane world is constrained. Imposing the compatibility of
supersymmetry transformation rules with the orbifold condition, we find the
necessary and sufficient condition to obtain supersymmetric branes and bulk
independently. We comment that the same condition guarantees naturally the
presence of singular BPS solutions.
| [
{
"created": "Sun, 7 Dec 2003 20:35:07 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Lin",
"Yin",
""
]
] | We have studied the most general N=2 supergravity in five dimensions in context with the orbifold theory based on $M_4 \times S^1/Z_2$. Various ways to treat the supersymmetry with singular sources placed in orbifold fixed points were proposed in past. Supersymmetric branes were consistently introduced in a bulk where a gauged supergravity was present. In this paper we find that in the $N=2,D=5$ supergravity with general gauging, the possibility to obtain a supersymmetric brane world is constrained. Imposing the compatibility of supersymmetry transformation rules with the orbifold condition, we find the necessary and sufficient condition to obtain supersymmetric branes and bulk independently. We comment that the same condition guarantees naturally the presence of singular BPS solutions. |
1310.8215 | David Bailin | David Bailin and Alex Love | Intersecting D6-branes on the Z_{12}-II orientifold | Slightly revised version to be published in JHEP, 24 pages | null | 10.1007/JHEP01(2014)009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Much work has been done by a number of authors with the aim of constructing
the supersymmetric Standard Model in type IIA intersecting-brane theories
compactified on an orientifold with various Z_N or Z_M x Z_N point groups. Here
we consider the Z_{12} point group which has previously received comparatively
little attention. We consider intersecting D6-branes that wrap 3-cycles
consisting of a 2-cycle of the 4-dimensional lattice upon which the Z_{12} is
realised times a 1-cycle of the remaining 2-torus. Our discussion is restricted
to the case when these 2-cycles are "factorisable" in the sense discussed in
section 3. Although it is possible to find models with the correct
supersymmetric Standard Model quark-doublet content, we have not found it
possible to obtain the correct quark-singlet content.
| [
{
"created": "Wed, 30 Oct 2013 16:16:30 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Nov 2013 11:49:07 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Nov 2013 11:26:34 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Jan 2014 14:24:04 GMT",
"version": "v4"
}
] | 2015-06-17 | [
[
"Bailin",
"David",
""
],
[
"Love",
"Alex",
""
]
] | Much work has been done by a number of authors with the aim of constructing the supersymmetric Standard Model in type IIA intersecting-brane theories compactified on an orientifold with various Z_N or Z_M x Z_N point groups. Here we consider the Z_{12} point group which has previously received comparatively little attention. We consider intersecting D6-branes that wrap 3-cycles consisting of a 2-cycle of the 4-dimensional lattice upon which the Z_{12} is realised times a 1-cycle of the remaining 2-torus. Our discussion is restricted to the case when these 2-cycles are "factorisable" in the sense discussed in section 3. Although it is possible to find models with the correct supersymmetric Standard Model quark-doublet content, we have not found it possible to obtain the correct quark-singlet content. |
hep-th/0512239 | Pablo G. Camara | Pablo G. Camara | Fluxes, moduli fixing and MSSM-like vacua in Type IIA String Theory | 8 pages; Contribution to the proceedings of the RTN workshop
"Constituents, Fundamental Forces and Symmetries of the Universe", Corfu,
Greece, 20-26 September 2005; corrected typos, added references | Fortsch.Phys.54:323-330,2006 | 10.1002/prop.200510278 | IFT-UAM-CSIC-05-54 | hep-th | null | We review some of the features of Type IIA compactifications in the presence
of fluxes. In particular, the case of $T^6/(\Omega (-1)^{F_L} \sigma)$
orientifolds with RR, NS and metric fluxes is considered. This has revealed to
possess remarkable properties such as vacua with all the closed string moduli
stabilized, null or negative contributions to the RR tadpoles or supersymmetry
on the branes enforced by the closed string background. In this way, Type IIA
compactifications with non trivial fluxes seem to constitute a new window into
the building of semi-realistic models in String Theory.
| [
{
"created": "Mon, 19 Dec 2005 16:57:10 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Feb 2006 19:49:10 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Camara",
"Pablo G.",
""
]
] | We review some of the features of Type IIA compactifications in the presence of fluxes. In particular, the case of $T^6/(\Omega (-1)^{F_L} \sigma)$ orientifolds with RR, NS and metric fluxes is considered. This has revealed to possess remarkable properties such as vacua with all the closed string moduli stabilized, null or negative contributions to the RR tadpoles or supersymmetry on the branes enforced by the closed string background. In this way, Type IIA compactifications with non trivial fluxes seem to constitute a new window into the building of semi-realistic models in String Theory. |
1805.00262 | Tomotaka Kitamura | Yugo Abe, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura and Toshifumi
Noumi | S-matrix Unitarity and Renormalizability in Higher Derivative Theories | 14 pages, 2 figures | Prog Theor Exp Phys (2019) | 10.1093/ptep/ptz084 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the relation between the $S$-matrix unitarity
($SS^{\dagger}=1$) and the renormalizability, in theories with negative norm
states. The relation has been confirmed in many theories, such as gauge
theories, Einstein gravity and Lifshitz-type non-relativistic theories by
analyzing the unitarity bound, which follows from the $S$-matrix unitarity and
the norm positivity. On the other hand, renormalizable theories with a higher
derivative kinetic term do not necessarily satisfy the unitarity bound
essentially because the unitarity bound does not hold due to the negative norm
states. In these theories, it is not clear if the $S$-matrix unitarity provides
a nontrivial constraint related to the renormalizability. In this paper we
introduce scalar field models with a higher derivative kinetic term and analyze
the $S$-matrix unitarity. We have positive results of the relation.
| [
{
"created": "Tue, 1 May 2018 10:12:48 GMT",
"version": "v1"
}
] | 2019-10-17 | [
[
"Abe",
"Yugo",
""
],
[
"Inami",
"Takeo",
""
],
[
"Izumi",
"Keisuke",
""
],
[
"Kitamura",
"Tomotaka",
""
],
[
"Noumi",
"Toshifumi",
""
]
] | We investigate the relation between the $S$-matrix unitarity ($SS^{\dagger}=1$) and the renormalizability, in theories with negative norm states. The relation has been confirmed in many theories, such as gauge theories, Einstein gravity and Lifshitz-type non-relativistic theories by analyzing the unitarity bound, which follows from the $S$-matrix unitarity and the norm positivity. On the other hand, renormalizable theories with a higher derivative kinetic term do not necessarily satisfy the unitarity bound essentially because the unitarity bound does not hold due to the negative norm states. In these theories, it is not clear if the $S$-matrix unitarity provides a nontrivial constraint related to the renormalizability. In this paper we introduce scalar field models with a higher derivative kinetic term and analyze the $S$-matrix unitarity. We have positive results of the relation. |
1304.0568 | Shibei Kong | Shibei Kong, Ruixiao Zhang, Peng Zhao, and Bin Zhou | Smooth U(1) Gauge Fields in de Sitter Spacetime | draft | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the methods of Lie groups and Lie algebras, we solved U(1) gauge
potentials in the de Sitter background. Resulted gauge potentials are smooth on
the whole spacetime, satisfying the Lorentz gauge condition. It is shown that
electromagnetic fields in the de Sitter background could not be source free.
| [
{
"created": "Tue, 2 Apr 2013 09:05:37 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2018 16:07:04 GMT",
"version": "v2"
}
] | 2018-06-01 | [
[
"Kong",
"Shibei",
""
],
[
"Zhang",
"Ruixiao",
""
],
[
"Zhao",
"Peng",
""
],
[
"Zhou",
"Bin",
""
]
] | Using the methods of Lie groups and Lie algebras, we solved U(1) gauge potentials in the de Sitter background. Resulted gauge potentials are smooth on the whole spacetime, satisfying the Lorentz gauge condition. It is shown that electromagnetic fields in the de Sitter background could not be source free. |
1211.2843 | Michael C. Ogilvie | Michael C. Ogilvie | Phases of Gauge Theories | 88 pages, 14 figures. To be published as a J. Phys. A topical review | null | 10.1088/1751-8113/45/48/483001 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the most fundamental questions we can ask about a given gauge theory
is its phase diagram. In the standard model, we observe three fundamentally
different types of behavior: QCD is in a confined phase at zero temperature,
while the electroweak sector of the standard model combines Coulomb and Higgs
phases. Our current understanding of the phase structure of gauge theories owes
much to the modern theory of phase transitions and critical phenomena, but has
developed into a subject of extensive study. After reviewing some fundamental
concepts of phase transitions and finite-temperature gauge theories, we discuss
some recent work that broadly extends our knowledge of the mechanisms that
determine the phase structure of gauge theories. A new class of models with a
rich phase structure has been discovered, generalizing our understanding of the
confinement-deconfinement transition in finite-temperature gauge theories.
Models in this class have space-time topologies with one or more compact
directions. On R^3 x S^1, the addition of double-trace deformations or periodic
adjoint fermions to a gauge theory can yield a confined phase in the region
where the S^1 circumference L is small, so that the coupling constant is small,
and semiclassical methods are applicable. In this region, Euclidean monopole
solutions, which are constituents of finite-temperature instantons, play a
crucial role in the calculation of a non-perturbative string tension. We review
the techniques use to analyze this new class of models and the results obtained
so far, as well as their application to finite-temperature phase structure,
conformal phases of gauge theories and the large-N limit.
| [
{
"created": "Mon, 12 Nov 2012 21:58:59 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Ogilvie",
"Michael C.",
""
]
] | One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the electroweak sector of the standard model combines Coulomb and Higgs phases. Our current understanding of the phase structure of gauge theories owes much to the modern theory of phase transitions and critical phenomena, but has developed into a subject of extensive study. After reviewing some fundamental concepts of phase transitions and finite-temperature gauge theories, we discuss some recent work that broadly extends our knowledge of the mechanisms that determine the phase structure of gauge theories. A new class of models with a rich phase structure has been discovered, generalizing our understanding of the confinement-deconfinement transition in finite-temperature gauge theories. Models in this class have space-time topologies with one or more compact directions. On R^3 x S^1, the addition of double-trace deformations or periodic adjoint fermions to a gauge theory can yield a confined phase in the region where the S^1 circumference L is small, so that the coupling constant is small, and semiclassical methods are applicable. In this region, Euclidean monopole solutions, which are constituents of finite-temperature instantons, play a crucial role in the calculation of a non-perturbative string tension. We review the techniques use to analyze this new class of models and the results obtained so far, as well as their application to finite-temperature phase structure, conformal phases of gauge theories and the large-N limit. |
hep-th/9804156 | Alexei M. Semikhatov | M A Grigoriev, A M Semikhatov, and I Yu Tipunin | Gauge Symmetries of the Master Action | LaTeX 2.09, 16pp | J.Math.Phys. 40 (1999) 1792-1806 | 10.1063/1.532835 | null | hep-th | null | We study the geometry of the Lagrangian Batalin--Vilkovisky theory on an
antisymplectic manifold. We show that gauge symmetries of the BV-theory are
essentially the symmetries of an even symplectic structure on the stationary
surface of the master action.
| [
{
"created": "Thu, 23 Apr 1998 15:58:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Grigoriev",
"M A",
""
],
[
"Semikhatov",
"A M",
""
],
[
"Tipunin",
"I Yu",
""
]
] | We study the geometry of the Lagrangian Batalin--Vilkovisky theory on an antisymplectic manifold. We show that gauge symmetries of the BV-theory are essentially the symmetries of an even symplectic structure on the stationary surface of the master action. |
1908.01461 | Amitabh Virmani | Bidisha Chakrabarty, Debodirna Ghosh, Amitabh Virmani | Quasinormal modes of supersymmetric microstate geometries from the D1-D5
CFT | v1: 38 pages; v2: section 2.4 improved + minor changes, accepted to
JHEP | JHEP10(2019)072 | 10.1007/JHEP10(2019)072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the study of the probe scalar quasinormal modes of a class of
three-charge supersymmetric microstate geometries. We compute the real and
imaginary parts of the quasinormal modes and show that in the parameter range
when the geometries have large AdS region, the spectrum is precisely reproduced
from a D1-D5 orbifold CFT analysis. The spectrum includes the slow decaying
modes pointed out by Eperon, Reall, and Santos. We analyse in detail the nature
of the quasinormal modes by studying the scalar wavefunction. We show that
these modes correspond to slow leakage of excitation from AdS throat to
infinity.
| [
{
"created": "Mon, 5 Aug 2019 04:25:13 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Sep 2019 05:33:48 GMT",
"version": "v2"
}
] | 2019-10-11 | [
[
"Chakrabarty",
"Bidisha",
""
],
[
"Ghosh",
"Debodirna",
""
],
[
"Virmani",
"Amitabh",
""
]
] | We revisit the study of the probe scalar quasinormal modes of a class of three-charge supersymmetric microstate geometries. We compute the real and imaginary parts of the quasinormal modes and show that in the parameter range when the geometries have large AdS region, the spectrum is precisely reproduced from a D1-D5 orbifold CFT analysis. The spectrum includes the slow decaying modes pointed out by Eperon, Reall, and Santos. We analyse in detail the nature of the quasinormal modes by studying the scalar wavefunction. We show that these modes correspond to slow leakage of excitation from AdS throat to infinity. |
hep-th/9205046 | Dieter L\"ust | C. Kounnas and D. Luest | Cosmological String Backgrounds from Gauged WZW Models | 11 pages | Phys.Lett.B289:56-60,1992 | 10.1016/0370-2693(92)91361-C | CERN-TH.6494/92 | hep-th | null | We discuss the four-dimensional target-space interpretation of bosonic
strings based on gauged WZW models, in particular of those based on the
non-compact coset space $SL(2,{\bf R})\times SO(1,1)^2 /SO(1,1)$. We show that
these theories lead, apart from the recently broadly discussed black-hole type
of backgrounds, to cosmological string backgrounds, such as an expanding
Universe. Which of the two cases is realized depends on the sign of the level
of the corresponding Kac-Moody algebra. We discuss various aspects of these new
cosmological string backgrounds.
| [
{
"created": "Fri, 15 May 1992 13:35:37 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 1992 10:55:54 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Kounnas",
"C.",
""
],
[
"Luest",
"D.",
""
]
] | We discuss the four-dimensional target-space interpretation of bosonic strings based on gauged WZW models, in particular of those based on the non-compact coset space $SL(2,{\bf R})\times SO(1,1)^2 /SO(1,1)$. We show that these theories lead, apart from the recently broadly discussed black-hole type of backgrounds, to cosmological string backgrounds, such as an expanding Universe. Which of the two cases is realized depends on the sign of the level of the corresponding Kac-Moody algebra. We discuss various aspects of these new cosmological string backgrounds. |
hep-th/0608088 | Elias Kiritsis | Elias Kiritsis | Product CFTs, gravitational cloning, massive gravitons and the space of
gravitational duals | Latex, 25 pages. (v2) Minor corrections and references added | JHEP0611:049,2006 | 10.1088/1126-6708/2006/11/049 | CPHT-RR021.0406 | hep-th | null | The question of graviton cloning in the context of the bulk/boundary
correspondence is considered. It is shown that multi-graviton theories can be
obtained from products of large-N CFTs. No more than one interacting massless
graviton is possible. There can be however, many interacting massive gravitons.
This is achieved by coupling CFTs via multi-trace marginal or relevant
perturbations. The geometrical structure of the gravitational duals of such
theories is that of product manifolds with their boundaries identified. The
calculational formalism is described and the interpretation of such theories is
discussed.
| [
{
"created": "Mon, 14 Aug 2006 13:36:09 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2006 07:38:02 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Kiritsis",
"Elias",
""
]
] | The question of graviton cloning in the context of the bulk/boundary correspondence is considered. It is shown that multi-graviton theories can be obtained from products of large-N CFTs. No more than one interacting massless graviton is possible. There can be however, many interacting massive gravitons. This is achieved by coupling CFTs via multi-trace marginal or relevant perturbations. The geometrical structure of the gravitational duals of such theories is that of product manifolds with their boundaries identified. The calculational formalism is described and the interpretation of such theories is discussed. |
1405.6786 | Yoshiharu Kawamura | Yuhei Goto, Yoshiharu Kawamura and Takashi Miura | Family number, Wilson line phases and hidden supersymmetry | 17 pages, 1 figure | null | 10.1142/S0217751X14501504 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the relationship between the family number of chiral fermions and
the Wilson line phases, based on the orbifold family unification. We find that
flavor numbers are independent of the Wilson line phases relating
extra-dimensional components of gauge bosons, as far as the standard model
gauge symmetry is respected. This feature originates from a hidden
quantum-mechanical supersymmetry.
| [
{
"created": "Tue, 27 May 2014 04:44:38 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Goto",
"Yuhei",
""
],
[
"Kawamura",
"Yoshiharu",
""
],
[
"Miura",
"Takashi",
""
]
] | We study the relationship between the family number of chiral fermions and the Wilson line phases, based on the orbifold family unification. We find that flavor numbers are independent of the Wilson line phases relating extra-dimensional components of gauge bosons, as far as the standard model gauge symmetry is respected. This feature originates from a hidden quantum-mechanical supersymmetry. |
hep-th/9709025 | Alexey A. Deriglazov | A.A. Deriglazov | Eleven Dimensional Superstring with New Supersymmetry and D=10 type 2A
Green-Schwarz Superstring | 11 pages, LaTex file, Subm. to Phys.Lett.B (1997) | null | null | null | hep-th | null | A covariant action for closed D=11 superstring with local $\kappa$-symmetry
and global supersymmetry transformations obeying the algebra
$\{Q_\alpha,Q_\beta\}=C\Gamma^{\mu\nu}P_\mu n_\nu$ is suggested. Physical
sector variables of the model and their dynamics exactly coincide with those of
the D=10 type IIA Green-Schwarz superstring. It is shown that action of the
D=10 type IIA Green-Schwarz superstring can be considered as a partially gauge
fixed version of the D=11 superstring action.
| [
{
"created": "Wed, 3 Sep 1997 02:46:35 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Sep 1997 03:42:55 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Deriglazov",
"A. A.",
""
]
] | A covariant action for closed D=11 superstring with local $\kappa$-symmetry and global supersymmetry transformations obeying the algebra $\{Q_\alpha,Q_\beta\}=C\Gamma^{\mu\nu}P_\mu n_\nu$ is suggested. Physical sector variables of the model and their dynamics exactly coincide with those of the D=10 type IIA Green-Schwarz superstring. It is shown that action of the D=10 type IIA Green-Schwarz superstring can be considered as a partially gauge fixed version of the D=11 superstring action. |
hep-th/9312148 | null | Adam M. Bincer | Casimir operators of the exceptional group $F_4$: the chain $B_4\subset
F_4\subset D_{13}$ | null | J.Phys. A27 (1994) 3847-3856 | 10.1088/0305-4470/27/11/033 | null | hep-th | null | Expressions are given for the Casimir operators of the exceptional group
$F_4$ in a concise form similar to that used for the classical groups. The
chain $B_4\subset F_4\subset D_{13}$ is used to label the generators of $F_4$
in terms of the adjoint and spinor representations of $B_4$ and to express the
26-dimensional representation of $F_4$ in terms of the defining representation
of $D_{13}$. Casimir operators of any degree are obtained and it is shown that
a basis consists of the operators of degree 2, 6, 8 and 12.
| [
{
"created": "Thu, 16 Dec 1993 16:54:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bincer",
"Adam M.",
""
]
] | Expressions are given for the Casimir operators of the exceptional group $F_4$ in a concise form similar to that used for the classical groups. The chain $B_4\subset F_4\subset D_{13}$ is used to label the generators of $F_4$ in terms of the adjoint and spinor representations of $B_4$ and to express the 26-dimensional representation of $F_4$ in terms of the defining representation of $D_{13}$. Casimir operators of any degree are obtained and it is shown that a basis consists of the operators of degree 2, 6, 8 and 12. |
1704.04847 | Edilberto Oliveira Silva | Claudio F. Farias and Edilberto O. Silva | Solution of the $\kappa$-deformed Dirac equation with vector and scalar
interactions in the context of spin and pseudospin symmetries | 8 pages, 4 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/publicdomain/zero/1.0/ | The deformed Dirac equation invariant under the $\kappa$-Poincar\'{e}-Hopf
quantum algebra in the context of minimal and scalar couplings under spin and
pseudospin symmetries limits is considered. The $\kappa$-deformed Pauli-Dirac
Hamiltonian allows us to study effects of quantum deformation in a class of
physical systems, such as an Zeeman-like effect, Aharonov-Bohm effect and an
anomalous-like contribution to the electron magnetic moment, between others. In
our analysis, we consider the motion of an electron in a uniform magnetic field
and interacting with (i) a planar harmonic oscillator and (ii) a linear
potential. We verify that the particular choice of a linear potential induces a
Coulomb-type term in the equation of motion. Expressions for the energy
eigenvalues and wave functions are determined taking into account both
symmetries limits. We verify that the energies and wave functions of the
particle are modified by the deformation parameter as well as by the element of
spin.
| [
{
"created": "Mon, 17 Apr 2017 01:54:32 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Sep 2019 21:52:45 GMT",
"version": "v2"
}
] | 2019-09-27 | [
[
"Farias",
"Claudio F.",
""
],
[
"Silva",
"Edilberto O.",
""
]
] | The deformed Dirac equation invariant under the $\kappa$-Poincar\'{e}-Hopf quantum algebra in the context of minimal and scalar couplings under spin and pseudospin symmetries limits is considered. The $\kappa$-deformed Pauli-Dirac Hamiltonian allows us to study effects of quantum deformation in a class of physical systems, such as an Zeeman-like effect, Aharonov-Bohm effect and an anomalous-like contribution to the electron magnetic moment, between others. In our analysis, we consider the motion of an electron in a uniform magnetic field and interacting with (i) a planar harmonic oscillator and (ii) a linear potential. We verify that the particular choice of a linear potential induces a Coulomb-type term in the equation of motion. Expressions for the energy eigenvalues and wave functions are determined taking into account both symmetries limits. We verify that the energies and wave functions of the particle are modified by the deformation parameter as well as by the element of spin. |
hep-th/0111265 | Oleg Shvedov | Oleg Shvedov | Semiclassical Mechanics of Constrained Systems | 46 pages, LaTeX, no figures | null | null | null | hep-th | null | Semiclassical mechanics of systems with first-class constraints is developed.
Starting from the quantum theory, one investigates such objects as
semiclassical states and observables, semiclassical inner product,
semiclassical gauge transformations and evolution. Quantum mechanical
semiclassical substitutions (not only the WKB-ansatz) can be viewed as
"composed semiclassical states" being infinite superpositions of wave packets
with minimal uncertainties of coordinates and momenta ("elementary
semiclassical states"). Each elementary semiclassical state is specified by a
set (X,f) of classical variables X (phase, coordinates, momenta) and quantum
function f ("shape of the wave packet" or "quantum state in the background X").
A notion of an elemantary semiclassical state can be generalized to the
constrained systems, provided that one uses the refined algebraic quantization
approach based on modifying the inner product rather than on imposing the
constrained conditions on physical states. The inner product of physical states
is evaluated. It is obtained that classical part of X the semiclassical state
should belong to the constrained surface; otherwise, the semiclassical state
(X,f) will have zero norm for all f. Even under classical constraint
conditions, the semiclassical inner product is degenerate. One should factorize
then the space of semiclassical states. Semiclassical gauge transformations and
evolution of semiclassical states are studied. The correspondence with
semiclassical Dirac approach is discussed.
| [
{
"created": "Wed, 28 Nov 2001 23:25:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shvedov",
"Oleg",
""
]
] | Semiclassical mechanics of systems with first-class constraints is developed. Starting from the quantum theory, one investigates such objects as semiclassical states and observables, semiclassical inner product, semiclassical gauge transformations and evolution. Quantum mechanical semiclassical substitutions (not only the WKB-ansatz) can be viewed as "composed semiclassical states" being infinite superpositions of wave packets with minimal uncertainties of coordinates and momenta ("elementary semiclassical states"). Each elementary semiclassical state is specified by a set (X,f) of classical variables X (phase, coordinates, momenta) and quantum function f ("shape of the wave packet" or "quantum state in the background X"). A notion of an elemantary semiclassical state can be generalized to the constrained systems, provided that one uses the refined algebraic quantization approach based on modifying the inner product rather than on imposing the constrained conditions on physical states. The inner product of physical states is evaluated. It is obtained that classical part of X the semiclassical state should belong to the constrained surface; otherwise, the semiclassical state (X,f) will have zero norm for all f. Even under classical constraint conditions, the semiclassical inner product is degenerate. One should factorize then the space of semiclassical states. Semiclassical gauge transformations and evolution of semiclassical states are studied. The correspondence with semiclassical Dirac approach is discussed. |
hep-th/0201123 | K. J. Barnes | A. K.J.Barnes (U. of Southampton) | CPN Models in General Coordinates | 26 pages | J.Phys.A35:2191-2204,2002 | 10.1088/0305-4470/35/9/309 | null | hep-th | null | An analysis of CPN models is given in terms of general coordinates or
arbitrary interpolating fields.Only closed expressions made from simple
functions are involved.Special attention is given to CP2 and CP4. In the first
of these the retrieval of stereographic coordinates reveals the hermitian form
of the metric. A similar analysis for the latter case allows comparison with
the Fubini-Study metric.
| [
{
"created": "Wed, 16 Jan 2002 16:39:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Barnes",
"A. K. J.",
"",
"U. of Southampton"
]
] | An analysis of CPN models is given in terms of general coordinates or arbitrary interpolating fields.Only closed expressions made from simple functions are involved.Special attention is given to CP2 and CP4. In the first of these the retrieval of stereographic coordinates reveals the hermitian form of the metric. A similar analysis for the latter case allows comparison with the Fubini-Study metric. |
1502.05405 | Jonathan Heckman | Jonathan J. Heckman, David R. Morrison, Tom Rudelius and Cumrun Vafa | Atomic Classification of 6D SCFTs | v3: 123 pages, 23 figures, typos corrected. Included with the
submission are the Mathematica notebooks "Bases.nb" and
"Fiber_Enhancements.nb" | null | 10.1002/prop.201500024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use F-theory to classify possibly all six-dimensional superconformal field
theories (SCFTs). This involves a two step process: We first classify all
possible tensor branches allowed in F-theory (which correspond to allowed
collections of contractible spheres) and then classify all possible
configurations of seven-branes wrapped over them. We describe the first step in
terms of "atoms" joined into "radicals" and "molecules," using an analogy from
chemistry. The second step has an interpretation via quiver-type gauge theories
constrained by anomaly cancellation. A very surprising outcome of our analysis
is that all of these tensor branches have the structure of a linear chain of
intersecting spheres with a small amount of possible decoration at the two
ends. The resulting structure of these SCFTs takes the form of a generalized
quiver consisting of ADE-type nodes joined by conformal matter. A collection of
highly non-trivial examples involving E8 small instantons probing an ADE
singularity is shown to have an F-theory realization. This yields a
classification of homomorphisms from ADE subgroups of SU(2) into E8 in purely
geometric terms, largely matching results obtained in the mathematics
literature from an intricate group theory analysis.
| [
{
"created": "Wed, 18 Feb 2015 21:00:15 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 2015 23:09:13 GMT",
"version": "v2"
},
{
"created": "Sat, 11 Jul 2015 13:59:22 GMT",
"version": "v3"
}
] | 2016-01-20 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Morrison",
"David R.",
""
],
[
"Rudelius",
"Tom",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We use F-theory to classify possibly all six-dimensional superconformal field theories (SCFTs). This involves a two step process: We first classify all possible tensor branches allowed in F-theory (which correspond to allowed collections of contractible spheres) and then classify all possible configurations of seven-branes wrapped over them. We describe the first step in terms of "atoms" joined into "radicals" and "molecules," using an analogy from chemistry. The second step has an interpretation via quiver-type gauge theories constrained by anomaly cancellation. A very surprising outcome of our analysis is that all of these tensor branches have the structure of a linear chain of intersecting spheres with a small amount of possible decoration at the two ends. The resulting structure of these SCFTs takes the form of a generalized quiver consisting of ADE-type nodes joined by conformal matter. A collection of highly non-trivial examples involving E8 small instantons probing an ADE singularity is shown to have an F-theory realization. This yields a classification of homomorphisms from ADE subgroups of SU(2) into E8 in purely geometric terms, largely matching results obtained in the mathematics literature from an intricate group theory analysis. |
1210.5332 | Alexander Reshetnyak | Alexander A. Reshetnyak | On general Lagrangian formulations for arbitrary mixed-symmetric
higher-spin fermionic fields on Minkowski backgrounds | 6 pages, Contribution to the Proceedings of the Conference "Quantum
Field Theory and Gravity 2012", Tomsk, Russia, July, 31 - August, 5, 2
reference added, misprint corrected in Eq.(31), reference [9] updated. arXiv
admin note: text overlap with arXiv:1202.3859 | TSPU Bulletin, 2012, 13, 139 | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The details of unconstrained Lagrangian formulations (being continuation of
earlier developed research for Bose particles in NPB 862 (2012) 270,
[arXiv:1110.5044[hep-th]], Phys. of Part. and Nucl. 43 (2012) 689,
[arXiv:1202.4710 [hep-th]]) are reviewed for Fermi particles propagated on an
arbitrary dimensional Minkowski space-time and described by the unitary
irreducible half-integer higher-spin representations of the Poincare group
subject to Young tableaux $Y(s_1,...,s_k)$ with $k$ rows. The procedure is
based on the construction of the Verma modules and finding auxiliary oscillator
realizations for the orthosymplectic $osp(1|2k)$ superalgebra which encodes the
second-class operator constraints subsystem in the HS symmetry superalgebra.
Applying of an universal BRST-BFV approach permit to reproduce gauge-invariant
Lagrangians with reducible gauge symmetries describing the free dynamics of
both massless and massive fermionic fields of any spin with appropriate number
of gauge and Stukelberg fields. The general construction possesses by the
obvious possibility to derive Lagrangians with only holonomic constraints.
| [
{
"created": "Fri, 19 Oct 2012 07:57:06 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Nov 2012 13:26:22 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Apr 2021 17:27:35 GMT",
"version": "v3"
}
] | 2021-04-06 | [
[
"Reshetnyak",
"Alexander A.",
""
]
] | The details of unconstrained Lagrangian formulations (being continuation of earlier developed research for Bose particles in NPB 862 (2012) 270, [arXiv:1110.5044[hep-th]], Phys. of Part. and Nucl. 43 (2012) 689, [arXiv:1202.4710 [hep-th]]) are reviewed for Fermi particles propagated on an arbitrary dimensional Minkowski space-time and described by the unitary irreducible half-integer higher-spin representations of the Poincare group subject to Young tableaux $Y(s_1,...,s_k)$ with $k$ rows. The procedure is based on the construction of the Verma modules and finding auxiliary oscillator realizations for the orthosymplectic $osp(1|2k)$ superalgebra which encodes the second-class operator constraints subsystem in the HS symmetry superalgebra. Applying of an universal BRST-BFV approach permit to reproduce gauge-invariant Lagrangians with reducible gauge symmetries describing the free dynamics of both massless and massive fermionic fields of any spin with appropriate number of gauge and Stukelberg fields. The general construction possesses by the obvious possibility to derive Lagrangians with only holonomic constraints. |
hep-th/0103130 | Paolo Provero | M. Caselle, M. Hasenbusch, P. Provero and K. Zarembo | Bound states and glueballs in three-dimensional Ising systems | 24 pages, 6 figures | Nucl.Phys. B623 (2002) 474-492 | 10.1016/S0550-3213(01)00644-7 | DFTT 5/2001, HUB-EP-00/05, ITEP-TH-81/00 | hep-th cond-mat.stat-mech hep-lat hep-ph | null | We study the spectrum of massive excitations in three-dimensional models
belonging to the Ising universality class. By solving the Bethe-Salpeter
equation for 3D $\phi^4$ theory in the broken symmetry phase we show that
recently found non-perturbative states can be interpreted as bound states of
the fundamental excitation. We show that duality predicts an exact
correspondence between the spectra of the Ising model in the broken symmetry
phase and of the Z(2) gauge theory in the confining phase. The interpretation
of the glueball states of the gauge theory as bound states of the dual spin
system allows us to explain the qualitative features of the glueball spectrum,
in particular, its peculiar angular momentum dependence.
| [
{
"created": "Fri, 16 Mar 2001 16:08:31 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Caselle",
"M.",
""
],
[
"Hasenbusch",
"M.",
""
],
[
"Provero",
"P.",
""
],
[
"Zarembo",
"K.",
""
]
] | We study the spectrum of massive excitations in three-dimensional models belonging to the Ising universality class. By solving the Bethe-Salpeter equation for 3D $\phi^4$ theory in the broken symmetry phase we show that recently found non-perturbative states can be interpreted as bound states of the fundamental excitation. We show that duality predicts an exact correspondence between the spectra of the Ising model in the broken symmetry phase and of the Z(2) gauge theory in the confining phase. The interpretation of the glueball states of the gauge theory as bound states of the dual spin system allows us to explain the qualitative features of the glueball spectrum, in particular, its peculiar angular momentum dependence. |
1502.02525 | Muneto Nitta | Muneto Nitta | Josephson junction of non-Abelian superconductors and non-Abelian
Josephson vortices | 19 pages, 3 figures, v2: published version | Nucl.Phys.B899:78-90,2015 | 10.1016/j.nuclphysb.2015.07.027 | null | hep-th cond-mat.supr-con hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Josephson junction is made of two superconductors sandwiching an insulator,
and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the
Josephson junction, whose dynamics can be described by the sine-Gordon
equation. In a field theory framework, a flexible Josephson junction was
proposed, in which the Josephson junction is represented by a domain wall
separating two condensations and a Josephson vortex is a sine-Gordon soliton in
the domain wall effective theory. In this paper, we propose a Josephson
junction of non-Abelian color superconductors, that is described by a
non-Abelian domain wall, and show that a non-Abelian vortex (color magnetic
flux tube) absorbed into it is a non-Abelian Josephson vortex represented as a
non-Abelian sine-Gordon soliton in the domain wall effective theory, that is
the $U(N)$ principal chiral model.
| [
{
"created": "Mon, 9 Feb 2015 15:51:16 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2015 15:15:29 GMT",
"version": "v2"
}
] | 2015-08-07 | [
[
"Nitta",
"Muneto",
""
]
] | A Josephson junction is made of two superconductors sandwiching an insulator, and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the Josephson junction, whose dynamics can be described by the sine-Gordon equation. In a field theory framework, a flexible Josephson junction was proposed, in which the Josephson junction is represented by a domain wall separating two condensations and a Josephson vortex is a sine-Gordon soliton in the domain wall effective theory. In this paper, we propose a Josephson junction of non-Abelian color superconductors, that is described by a non-Abelian domain wall, and show that a non-Abelian vortex (color magnetic flux tube) absorbed into it is a non-Abelian Josephson vortex represented as a non-Abelian sine-Gordon soliton in the domain wall effective theory, that is the $U(N)$ principal chiral model. |
1711.11169 | Marco Schreck MS | J.A.A.S. Reis and M. Schreck | First-order classical Lagrangians for the nonminimal Standard-Model
Extension | 23 pages | Phys. Rev. D 97, 065019 (2018) | 10.1103/PhysRevD.97.065019 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we derive the general leading-order classical Lagrangian
covering all fermion operators of the nonminimal Standard-Model Extension
(SME). Such a Lagrangian is considered to be the point-particle analog of the
effective field theory description of Lorentz violation that is provided by the
SME. First of all, a suitable Ansatz is made for the Lagrangian of the
spin-degenerate operators $\hat{a}$, $\hat{c}$, $\hat{e}$, and $\hat{f}$ at
leading order in Lorentz violation. The latter is shown to satisfy the set of
five nonlinear equations that govern the map from the field theory to the
classical description. After doing so, the second step is to propose results
for the spin-nondegenerate operators $\hat{b}$, $\hat{d}$, $\hat{H}$, and
$\hat{g}$. Although these are more involved than the Lagrangians for the
spin-degenerate ones, an analytical proof of their validity is viable,
nevertheless. The final step is to combine both findings to produce a generic
Lagrangian for the complete set of Lorentz-violating operators that is
consistent with the known minimal and nonminimal Lagrangians found in the
literature so far. The outcome reveals the leading-order structure of the
classical SME analog. It can be of use for both phenomenological studies of
classical bodies in gravitational fields and conceptual work on explicit
Lorentz violation in gravity. Furthermore, there may be a possible connection
to Finsler geometry.
| [
{
"created": "Thu, 30 Nov 2017 00:32:12 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Reis",
"J. A. A. S.",
""
],
[
"Schreck",
"M.",
""
]
] | In this paper, we derive the general leading-order classical Lagrangian covering all fermion operators of the nonminimal Standard-Model Extension (SME). Such a Lagrangian is considered to be the point-particle analog of the effective field theory description of Lorentz violation that is provided by the SME. First of all, a suitable Ansatz is made for the Lagrangian of the spin-degenerate operators $\hat{a}$, $\hat{c}$, $\hat{e}$, and $\hat{f}$ at leading order in Lorentz violation. The latter is shown to satisfy the set of five nonlinear equations that govern the map from the field theory to the classical description. After doing so, the second step is to propose results for the spin-nondegenerate operators $\hat{b}$, $\hat{d}$, $\hat{H}$, and $\hat{g}$. Although these are more involved than the Lagrangians for the spin-degenerate ones, an analytical proof of their validity is viable, nevertheless. The final step is to combine both findings to produce a generic Lagrangian for the complete set of Lorentz-violating operators that is consistent with the known minimal and nonminimal Lagrangians found in the literature so far. The outcome reveals the leading-order structure of the classical SME analog. It can be of use for both phenomenological studies of classical bodies in gravitational fields and conceptual work on explicit Lorentz violation in gravity. Furthermore, there may be a possible connection to Finsler geometry. |
hep-th/0403137 | Walter Smilga | W. Smilga | Spin foams, causal links and geometry-induced interactions | 34 pages, corrected typos, added reference | null | null | null | hep-th gr-qc | null | Current theories of particle physics, including the standard model, are
dominated by the paradigm that nature is basically translation invariant.
Deviations from translation invariance are described by the action of forces.
General relativity is based on a different paradigm: There is no translation
invariance in general. Interaction is a consequence of the geometry of
spacetime, formed by the presence of matter, rather than of forces.
In recent years the formation of spacetime on a quantum mechanical level, has
been intensively studied within the framework of spin foams, following an old
idea from R. Penrose. In this connection it would be appropriate to reconsider
the meaning of those paradigms and attempt to apply the paradigm of general
relativity to particle physics.
A spin foam model with underlying SO(3,2) symmetry is well-suited for this
purpose. It represents a purely geometric model in the sense of the second
paradigm. By applying perturbative methods, starting from a translation
invariant first approximation, this model is reformulated in the sense of the
first paradigm. It will be shown that the model then defines a spacetime
manifold equipped with a particle theory in the form of locally interacting
quantized fields. This includes all four types of interaction: electromagnetic,
weak, chromodynamics and gravitation together with realistic numerical values
of the corresponding coupling constants.
| [
{
"created": "Fri, 12 Mar 2004 16:12:06 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Mar 2004 11:09:38 GMT",
"version": "v2"
},
{
"created": "Sun, 8 May 2005 16:00:55 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Smilga",
"W.",
""
]
] | Current theories of particle physics, including the standard model, are dominated by the paradigm that nature is basically translation invariant. Deviations from translation invariance are described by the action of forces. General relativity is based on a different paradigm: There is no translation invariance in general. Interaction is a consequence of the geometry of spacetime, formed by the presence of matter, rather than of forces. In recent years the formation of spacetime on a quantum mechanical level, has been intensively studied within the framework of spin foams, following an old idea from R. Penrose. In this connection it would be appropriate to reconsider the meaning of those paradigms and attempt to apply the paradigm of general relativity to particle physics. A spin foam model with underlying SO(3,2) symmetry is well-suited for this purpose. It represents a purely geometric model in the sense of the second paradigm. By applying perturbative methods, starting from a translation invariant first approximation, this model is reformulated in the sense of the first paradigm. It will be shown that the model then defines a spacetime manifold equipped with a particle theory in the form of locally interacting quantized fields. This includes all four types of interaction: electromagnetic, weak, chromodynamics and gravitation together with realistic numerical values of the corresponding coupling constants. |
1406.0514 | Washington Taylor | Samuel B. Johnson and Washington Taylor | Calabi-Yau threefolds with large h^{2, 1} | 44 pages, 5 tables, 5 figures; v2: minor corrections; v3: minor
corrections, moved figure; v4: typo in Table 2 corrected | null | 10.1007/JHEP10(2014)023 | MIT-CTP-4535 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We carry out a systematic analysis of Calabi-Yau threefolds that are
elliptically fibered with section ("EFS") and have a large Hodge number h^{2,
1}. EFS Calabi-Yau threefolds live in a single connected space, with regions of
moduli space associated with different topologies connected through transitions
that can be understood in terms of singular Weierstrass models. We determine
the complete set of such threefolds that have h^{2, 1} >= 350 by tuning
coefficients in Weierstrass models over Hirzebruch surfaces. The resulting set
of Hodge numbers includes those of all known Calabi-Yau threefolds with h^{2,
1} >= 350, as well as three apparently new Calabi-Yau threefolds. We speculate
that there are no other Calabi-Yau threefolds (elliptically fibered or not)
with Hodge numbers that exceed this bound. We summarize the theoretical and
practical obstacles to a complete enumeration of all possible EFS Calabi-Yau
threefolds and fourfolds, including those with small Hodge numbers, using this
approach.
| [
{
"created": "Mon, 2 Jun 2014 20:01:43 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2014 23:48:00 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Aug 2014 16:16:22 GMT",
"version": "v3"
},
{
"created": "Tue, 6 Jan 2015 14:15:48 GMT",
"version": "v4"
}
] | 2015-06-19 | [
[
"Johnson",
"Samuel B.",
""
],
[
"Taylor",
"Washington",
""
]
] | We carry out a systematic analysis of Calabi-Yau threefolds that are elliptically fibered with section ("EFS") and have a large Hodge number h^{2, 1}. EFS Calabi-Yau threefolds live in a single connected space, with regions of moduli space associated with different topologies connected through transitions that can be understood in terms of singular Weierstrass models. We determine the complete set of such threefolds that have h^{2, 1} >= 350 by tuning coefficients in Weierstrass models over Hirzebruch surfaces. The resulting set of Hodge numbers includes those of all known Calabi-Yau threefolds with h^{2, 1} >= 350, as well as three apparently new Calabi-Yau threefolds. We speculate that there are no other Calabi-Yau threefolds (elliptically fibered or not) with Hodge numbers that exceed this bound. We summarize the theoretical and practical obstacles to a complete enumeration of all possible EFS Calabi-Yau threefolds and fourfolds, including those with small Hodge numbers, using this approach. |
1801.04208 | Timothy Raben | Timothy G. Raben and Chung-I Tan | Minkowski Conformal Blocks and the Regge Limit for SYK-like Models | 56 pages, 6 figures. Discussion and clarifying remarks added,
references updated, spelling and grammar fixed, and expanded introduction. To
be published in Physical Review D | Phys. Rev. D 98, 086009 (2018) | 10.1103/PhysRevD.98.086009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss scattering in a CFT via the conformal partial-wave analysis and
the Regge limit. The focus of this paper is on understanding an OPE with
Minkowski conformal blocks. Starting with a t-channel OPE, it leads to an
expansion for an s-channel scattering amplitude in terms of t-channel
exchanges. By contrasting with Euclidean conformal blocks we see a precise
relationship between conformal blocks in the two limits without preforming an
explicit analytic continuation. We discuss a generic feature for a CFT
correlation function having singular $F^{(M)}(u,v)\sim {u}^{-\delta}\,$,
$\delta>0$, in the limit $u \rightarrow 0$ and $v\rightarrow 1$. Here,
$\delta=(\ell_{eff}-1)/2$, with $\ell_{eff}$ serving as an effective spin and
it can be determined through an OPE. In particular, it is bounded from above,
$\ell_{eff} \leq 2$, for all CFTs with a gravity dual, and it can be associated
with string modes interpolating the graviton in AdS. This singularity is
historically referred to as the Pomeron. This bound is nearly saturated by
SYK-like effective $d=1$ CFT, and its stringy and thermal corrections have
piqued current interests. Our analysis has been facilitated by dealing with
Wightman functions. We provide a direct treatment in diagonalizing dynamical
equations via harmonic analysis over physical scattering regions. As an example
these methods are applied to the SYK model.
| [
{
"created": "Fri, 12 Jan 2018 15:49:39 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jan 2018 19:47:17 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Sep 2018 18:52:30 GMT",
"version": "v3"
}
] | 2018-10-17 | [
[
"Raben",
"Timothy G.",
""
],
[
"Tan",
"Chung-I",
""
]
] | We discuss scattering in a CFT via the conformal partial-wave analysis and the Regge limit. The focus of this paper is on understanding an OPE with Minkowski conformal blocks. Starting with a t-channel OPE, it leads to an expansion for an s-channel scattering amplitude in terms of t-channel exchanges. By contrasting with Euclidean conformal blocks we see a precise relationship between conformal blocks in the two limits without preforming an explicit analytic continuation. We discuss a generic feature for a CFT correlation function having singular $F^{(M)}(u,v)\sim {u}^{-\delta}\,$, $\delta>0$, in the limit $u \rightarrow 0$ and $v\rightarrow 1$. Here, $\delta=(\ell_{eff}-1)/2$, with $\ell_{eff}$ serving as an effective spin and it can be determined through an OPE. In particular, it is bounded from above, $\ell_{eff} \leq 2$, for all CFTs with a gravity dual, and it can be associated with string modes interpolating the graviton in AdS. This singularity is historically referred to as the Pomeron. This bound is nearly saturated by SYK-like effective $d=1$ CFT, and its stringy and thermal corrections have piqued current interests. Our analysis has been facilitated by dealing with Wightman functions. We provide a direct treatment in diagonalizing dynamical equations via harmonic analysis over physical scattering regions. As an example these methods are applied to the SYK model. |
1703.01305 | Jakob Palmkvist | Guillaume Bossard, Axel Kleinschmidt, Jakob Palmkvist, Christopher N.
Pope and Ergin Sezgin | Beyond E11 | 97 pages. v2: Minor changes, references added. Published version | JHEP 05 (2017) 020 | 10.1007/JHEP05(2017)020 | CPHT-RR-007-032017, MI-TH-1745 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-linear realisation of E11 originally proposed by West with
particular emphasis on the issue of linearised gauge invariance. Our analysis
shows even at low levels that the conjectured equations can only be invariant
under local gauge transformations if a certain section condition that has
appeared in a different context in the E11 literature is satisfied. This
section condition also generalises the one known from exceptional field theory.
Even with the section condition, the E11 duality equation for gravity is known
to miss the trace component of the spin connection. We propose an extended
scheme based on an infinite-dimensional Lie superalgebra, called the tensor
hierarchy algebra, that incorporates the section condition and resolves the
above issue. The tensor hierarchy algebra defines a generalised differential
complex, which provides a systematic description of gauge invariance and
Bianchi identities. It furthermore provides an E11 representation for the field
strengths, for which we define a twisted first order self-duality equation
underlying the dynamics.
| [
{
"created": "Fri, 3 Mar 2017 19:00:07 GMT",
"version": "v1"
},
{
"created": "Sun, 7 May 2017 16:33:05 GMT",
"version": "v2"
}
] | 2017-05-09 | [
[
"Bossard",
"Guillaume",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Palmkvist",
"Jakob",
""
],
[
"Pope",
"Christopher N.",
""
],
[
"Sezgin",
"Ergin",
""
]
] | We study the non-linear realisation of E11 originally proposed by West with particular emphasis on the issue of linearised gauge invariance. Our analysis shows even at low levels that the conjectured equations can only be invariant under local gauge transformations if a certain section condition that has appeared in a different context in the E11 literature is satisfied. This section condition also generalises the one known from exceptional field theory. Even with the section condition, the E11 duality equation for gravity is known to miss the trace component of the spin connection. We propose an extended scheme based on an infinite-dimensional Lie superalgebra, called the tensor hierarchy algebra, that incorporates the section condition and resolves the above issue. The tensor hierarchy algebra defines a generalised differential complex, which provides a systematic description of gauge invariance and Bianchi identities. It furthermore provides an E11 representation for the field strengths, for which we define a twisted first order self-duality equation underlying the dynamics. |
hep-th/9804165 | Dr G. A. Jaroszkiewicz | George Jaroszkiewicz and Keith Norton (Mathematics Department,
Nottingham University, UK) | Principles of Discrete Time Mechanics: V. The Quantisation of Maxwell's
Equations | 31 pages TCILateX | null | null | null | hep-th gr-qc | null | Principles of discrete time mechanics are applied to the quantisation of
Maxwell's equations. Following an analysis of temporal node and link variables,
we review the classical discrete time equations in the Coulomb and Lorentz
gauges and conclude that electro-magneto duality does not occur in pure
discrete time electromagnetism. We discuss the role of boundary conditions in
our mechanics and how temporal discretisation should influence very early
universe dynamics. Quantisation of the Maxwell potentials is approached via the
discrete time Schwinger action principle and the Faddeev-Popov path integral.
We demonstrate complete agreement in the case of the Coulomb gauge, obtaining
the vacuum functional and the discrete time field commutators in that gauge.
Finally, we use the Faddeev-Popov method to construct the discrete time
analogues of the photon propagator in the Landau and Feynman gauges, which
casts light on the break with relativity and possible discrete time analogues
of the metric tensor.
| [
{
"created": "Sat, 25 Apr 1998 20:50:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jaroszkiewicz",
"George",
"",
"Mathematics Department,\n Nottingham University, UK"
],
[
"Norton",
"Keith",
"",
"Mathematics Department,\n Nottingham University, UK"
]
] | Principles of discrete time mechanics are applied to the quantisation of Maxwell's equations. Following an analysis of temporal node and link variables, we review the classical discrete time equations in the Coulomb and Lorentz gauges and conclude that electro-magneto duality does not occur in pure discrete time electromagnetism. We discuss the role of boundary conditions in our mechanics and how temporal discretisation should influence very early universe dynamics. Quantisation of the Maxwell potentials is approached via the discrete time Schwinger action principle and the Faddeev-Popov path integral. We demonstrate complete agreement in the case of the Coulomb gauge, obtaining the vacuum functional and the discrete time field commutators in that gauge. Finally, we use the Faddeev-Popov method to construct the discrete time analogues of the photon propagator in the Landau and Feynman gauges, which casts light on the break with relativity and possible discrete time analogues of the metric tensor. |
hep-th/9509012 | Kiyoshi Kamimura | J. Gomis, K.Kamimura, J.M. Pons and F. Zamora | One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories | 15 pages, An example of non-abelian antisymmetric field is added.
Some corrections are made to refrain from using the reconstruction theorem in
the gauge fixed basis | Nucl.Phys. B458 (1996) 387-402 | 10.1016/0550-3213(95)00577-3 | RIMS-1020, TOHO-FP-9552 and UB-ECM-PF 95/17 | hep-th | null | One loop anomalies and their dependence on antifields for general gauge
theories are investigated within a Pauli-Villars regularization scheme. For
on-shell theories {\it i.e.}, with open algebras or on-shell reducible
theories, the antifield dependence is cohomologically non trivial. The
associated Wess-Zumino term depends also on antifields. In the classical basis
the antifield independent part of the WZ term is expressed in terms of the
anomaly and finite gauge transformations by introducing gauge degrees of
freedom as the extra dynamical variables. The complete WZ term is reconstructed
from the antifield independent part.
| [
{
"created": "Mon, 4 Sep 1995 04:59:05 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 1995 23:22:34 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Gomis",
"J.",
""
],
[
"Kamimura",
"K.",
""
],
[
"Pons",
"J. M.",
""
],
[
"Zamora",
"F.",
""
]
] | One loop anomalies and their dependence on antifields for general gauge theories are investigated within a Pauli-Villars regularization scheme. For on-shell theories {\it i.e.}, with open algebras or on-shell reducible theories, the antifield dependence is cohomologically non trivial. The associated Wess-Zumino term depends also on antifields. In the classical basis the antifield independent part of the WZ term is expressed in terms of the anomaly and finite gauge transformations by introducing gauge degrees of freedom as the extra dynamical variables. The complete WZ term is reconstructed from the antifield independent part. |
hep-th/0401162 | Pere Talavera | Josep M. Pons and Pere Talavera | Truncations driven by constraints: consistency and conditions for
correct upliftings | Latex, 23 pages | Nucl.Phys.B703:537-555,2004 | 10.1016/j.nuclphysb.2004.10.028 | null | hep-th | null | We discuss the mechanism of truncations driven by the imposition of
constraints. We show how the consistency of such truncations is controlled, and
give general theorems that establish conditions for the correct uplifting of
solutions. We show in some particular examples how one can get correct
upliftings from 7d supergravities to 10d type IIB supergravity, even in cases
when the truncation is not initially consistent by its own.
| [
{
"created": "Thu, 22 Jan 2004 17:38:28 GMT",
"version": "v1"
}
] | 2011-03-22 | [
[
"Pons",
"Josep M.",
""
],
[
"Talavera",
"Pere",
""
]
] | We discuss the mechanism of truncations driven by the imposition of constraints. We show how the consistency of such truncations is controlled, and give general theorems that establish conditions for the correct uplifting of solutions. We show in some particular examples how one can get correct upliftings from 7d supergravities to 10d type IIB supergravity, even in cases when the truncation is not initially consistent by its own. |
hep-th/0003056 | Lee Smolin | Lee Smolin | The strong and weak holographic principles | Latex, 53 pages, no figures | Nucl.Phys. B601 (2001) 209-247 | 10.1016/S0550-3213(01)00049-9 | null | hep-th gr-qc | null | We review the different proposals which have so far been made for the
holographic principle and the related entropy bounds and classify them into the
strong, null and weak forms. These are analyzed, with the aim of discovering
which may hold at the level of the full quantum theory of gravity. We find that
only the weak forms, which constrain the information available to observers on
boundaries, are implied by arguments using the generalized second law. The
strong forms, which go further and posit a bound on the entropy in spacelike
regions bounded by surfaces, are found to suffer from serious problems, which
give rise to counterexamples already at the semiclassical level. The null form,
proposed by Fischler, Susskind, Bousso and others, in which the bound is on the
entropy of certain null surfaces, appears adequate at the level of a bound on
the entropy of matter in a single background spacetime, but attempts to include
the gravitational degrees of freedom encounter serious difficulties. Only the
weak form seems capable of holding in the full quantum theory.
The conclusion is that the holographic principle is not a relationship
between two independent sets of concepts: bulk theories and measures of
geometry vrs boundary theories and measures of information. Instead, it is the
assertion that in a fundamental theory the first set of concepts must be
completely reduced to the second.
| [
{
"created": "Wed, 8 Mar 2000 04:56:47 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Smolin",
"Lee",
""
]
] | We review the different proposals which have so far been made for the holographic principle and the related entropy bounds and classify them into the strong, null and weak forms. These are analyzed, with the aim of discovering which may hold at the level of the full quantum theory of gravity. We find that only the weak forms, which constrain the information available to observers on boundaries, are implied by arguments using the generalized second law. The strong forms, which go further and posit a bound on the entropy in spacelike regions bounded by surfaces, are found to suffer from serious problems, which give rise to counterexamples already at the semiclassical level. The null form, proposed by Fischler, Susskind, Bousso and others, in which the bound is on the entropy of certain null surfaces, appears adequate at the level of a bound on the entropy of matter in a single background spacetime, but attempts to include the gravitational degrees of freedom encounter serious difficulties. Only the weak form seems capable of holding in the full quantum theory. The conclusion is that the holographic principle is not a relationship between two independent sets of concepts: bulk theories and measures of geometry vrs boundary theories and measures of information. Instead, it is the assertion that in a fundamental theory the first set of concepts must be completely reduced to the second. |
1409.3553 | Leonid Chekhov O | Jan Ambjorn and Leonid Chekhov | The matrix model for hypergeometric Hurwitz numbers | 12 pages, 2 figures in LaTeX, contribution to the volume of TMPh
celebrating the 75th birthday of A A Slavnov | null | 10.1007/s11232-014-0229-z | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the multi-matrix models that are the generating functions for
branched covers of the complex projective line ramified over $n$ fixed points
$z_i$, $i=1,\dots,n$, (generalized Grotendieck's dessins d'enfants) of fixed
genus, degree, and the ramification profiles at two points, $z_1$ and $z_n$. We
take a sum over all possible ramifications at other $n-2$ points with the fixed
length of the profile at $z_2$ and with the fixed total length of profiles at
the remaining $n-3$ points. All these models belong to a class of
hypergeometric Hurwitz models thus being tau functions of the
Kadomtsev--Petviashvili (KP) hierarchy. In the case described above, we can
present the obtained model as a chain of matrices with a (nonstandard)
nearest-neighbor interaction of the type $\tr M_iM_{i+1}^{-1}$. We describe the
technique for evaluating spectral curves of such models, which opens the
possibility of applying the topological recursion for developing
$1/N^2$-expansions of these model. These spectral curves turn out to be of an
algebraic type.
| [
{
"created": "Thu, 11 Sep 2014 19:42:16 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Ambjorn",
"Jan",
""
],
[
"Chekhov",
"Leonid",
""
]
] | We present the multi-matrix models that are the generating functions for branched covers of the complex projective line ramified over $n$ fixed points $z_i$, $i=1,\dots,n$, (generalized Grotendieck's dessins d'enfants) of fixed genus, degree, and the ramification profiles at two points, $z_1$ and $z_n$. We take a sum over all possible ramifications at other $n-2$ points with the fixed length of the profile at $z_2$ and with the fixed total length of profiles at the remaining $n-3$ points. All these models belong to a class of hypergeometric Hurwitz models thus being tau functions of the Kadomtsev--Petviashvili (KP) hierarchy. In the case described above, we can present the obtained model as a chain of matrices with a (nonstandard) nearest-neighbor interaction of the type $\tr M_iM_{i+1}^{-1}$. We describe the technique for evaluating spectral curves of such models, which opens the possibility of applying the topological recursion for developing $1/N^2$-expansions of these model. These spectral curves turn out to be of an algebraic type. |
1202.0543 | Xavier Bekaert | Xavier Bekaert, Euihun Joung, Jihad Mourad | Comments on higher-spin holography | 9 pages, expanded version of the contribution to the Proceedings of
the XVII European Workshop on String Theory (Padova, 5-9 September 2011); v2:
one reference added | null | 10.1002/prop.201200014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conjectured holographic duality between vector models with quartic
interaction and higher-spin field theory in the bulk is reviewed, with emphasis
on some versions and generalisations (higher dimensions, beyond the singlet
sector, etc) which have not been much investigated yet. The strongest form of
the conjecture assumes that it holds for any (not necessarily large) number of
massless scalar fields and for any value of the coupling constant. Since the
quartic interaction is of double-trace type, the exact duality (for any value
of the coupling constant) automatically follows from its validity at the
Gaussian fixed point (for vanishing coupling constant). The validity of the
latter also implies that unbroken higher spin symmetries should prevent quantum
corrections in the bulk.
| [
{
"created": "Thu, 2 Feb 2012 20:45:11 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Feb 2012 11:03:12 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Bekaert",
"Xavier",
""
],
[
"Joung",
"Euihun",
""
],
[
"Mourad",
"Jihad",
""
]
] | The conjectured holographic duality between vector models with quartic interaction and higher-spin field theory in the bulk is reviewed, with emphasis on some versions and generalisations (higher dimensions, beyond the singlet sector, etc) which have not been much investigated yet. The strongest form of the conjecture assumes that it holds for any (not necessarily large) number of massless scalar fields and for any value of the coupling constant. Since the quartic interaction is of double-trace type, the exact duality (for any value of the coupling constant) automatically follows from its validity at the Gaussian fixed point (for vanishing coupling constant). The validity of the latter also implies that unbroken higher spin symmetries should prevent quantum corrections in the bulk. |
hep-th/0402075 | Sami Mohammad | Mohammad R. Garousi, M. Sami, Shinji Tsujikawa | Cosmology from Rolling Massive Scalar Field on the anti-D3 Brane of de
Sitter Vacua | RevTex4, 15 pages, 5 eps figures, minor clarifications and few
references added, final version to appear in PRD | Phys.Rev.D70:043536,2004 | 10.1103/PhysRevD.70.043536 | IPM/P-2004/007 | hep-th astro-ph gr-qc hep-ph | null | We investigate a string-inspired scenario associated with a rolling massive
scalar field on D-branes and discuss its cosmological implications. In
particular, we discuss cosmological evolution of the massive scalar field on
the ant-D3 brane of KKLT vacua. Unlike the case of tachyon field, because of
the warp factor of the anti-D3 brane, it is possible to obtain the required
level of amplitude of density perturbations. We study the spectra of scalar and
tensor perturbations generated during the rolling scalar inflation and show
that our scenario satisfies the observational constraint coming from the Cosmic
Microwave Background anisotropies and other observational data. We also
implement the negative cosmological constant arising from the stabilization of
the modulus fields in the KKLT vacua and find that this leads to a successful
reheating in which the energy density of the scalar field effectively scales as
a pressureless dust. The present dark energy can be also explained in our
scenario provided that the potential energy of the massive rolling scalar does
not exactly cancel with the amplitude of the negative cosmological constant at
the potential minimum.
| [
{
"created": "Tue, 10 Feb 2004 09:22:08 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 2004 16:33:25 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jun 2004 15:31:08 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Garousi",
"Mohammad R.",
""
],
[
"Sami",
"M.",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] | We investigate a string-inspired scenario associated with a rolling massive scalar field on D-branes and discuss its cosmological implications. In particular, we discuss cosmological evolution of the massive scalar field on the ant-D3 brane of KKLT vacua. Unlike the case of tachyon field, because of the warp factor of the anti-D3 brane, it is possible to obtain the required level of amplitude of density perturbations. We study the spectra of scalar and tensor perturbations generated during the rolling scalar inflation and show that our scenario satisfies the observational constraint coming from the Cosmic Microwave Background anisotropies and other observational data. We also implement the negative cosmological constant arising from the stabilization of the modulus fields in the KKLT vacua and find that this leads to a successful reheating in which the energy density of the scalar field effectively scales as a pressureless dust. The present dark energy can be also explained in our scenario provided that the potential energy of the massive rolling scalar does not exactly cancel with the amplitude of the negative cosmological constant at the potential minimum. |
2205.15383 | Seth Grable | Seth Grable | Interacting CFTs for all couplings: Thermal versus Entanglement Entropy
at Large $N$ | Entanglement Entropy, Conformal Field Theory, Fractional Interactions | null | 10.1007/JHEP10(2022)133 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this paper, I calculate the large $N$ limit of marginal $O(N)$ models with
non-polynomial potentials in arbitrary odd dimensions $d$. This results in a
new class of interacting pure conformal field theories (CFTs) in $d=3+4n$ for
any $n \in \mathbb{Z}_+$. Similarly, in $d=3+4n$ I calculate the thermal
entropy for all couplings on $R^{2+4n} \times S^1$ for $n=0,1,2,3$. In 2+1
dimensions I find the strong-to-weak coupling ratio of the thermal entropy to
be 4/5, matching recent results, and further extend this analysis to higher odd
dimensions. Next, I calculated the vacuum entanglement entropy
$s^d_{\text{EE}}$ on $S^{d-2}$ for all couplings in arbitrary odd $d$ in the
large N limit. I find the vacuum entanglement entropy on $S^{d-2}$ to be not
only solvable but also constant for all couplings $\lambda$. Thus, in the large
$N$ limit, the vacuum entanglement entropy on $S^{d-2}$ for odd $d$ is constant
for all $\lambda$, in contrast to the thermal entropy which is shown to also be
monotonically decreasing with $\lambda$ in $d=3+4n$.
| [
{
"created": "Mon, 30 May 2022 18:58:20 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jun 2022 03:00:44 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Jun 2022 18:00:03 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Jun 2022 18:33:04 GMT",
"version": "v4"
},
{
"created": "Tue, 6 Sep 2022 17:31:53 GMT",
"version": "v5"
}
] | 2022-11-09 | [
[
"Grable",
"Seth",
""
]
] | In this paper, I calculate the large $N$ limit of marginal $O(N)$ models with non-polynomial potentials in arbitrary odd dimensions $d$. This results in a new class of interacting pure conformal field theories (CFTs) in $d=3+4n$ for any $n \in \mathbb{Z}_+$. Similarly, in $d=3+4n$ I calculate the thermal entropy for all couplings on $R^{2+4n} \times S^1$ for $n=0,1,2,3$. In 2+1 dimensions I find the strong-to-weak coupling ratio of the thermal entropy to be 4/5, matching recent results, and further extend this analysis to higher odd dimensions. Next, I calculated the vacuum entanglement entropy $s^d_{\text{EE}}$ on $S^{d-2}$ for all couplings in arbitrary odd $d$ in the large N limit. I find the vacuum entanglement entropy on $S^{d-2}$ to be not only solvable but also constant for all couplings $\lambda$. Thus, in the large $N$ limit, the vacuum entanglement entropy on $S^{d-2}$ for odd $d$ is constant for all $\lambda$, in contrast to the thermal entropy which is shown to also be monotonically decreasing with $\lambda$ in $d=3+4n$. |
hep-th/9911051 | Stefano Ansoldi | S. Ansoldi, A. Aurilia, A. Smailagic, E. Spallucci | Dualization of Interacting Theories Including p=d-1 Limiting Cases | REVTeX, 8 pages, 1 EPS figure | Phys.Lett. B471 (1999) 133-139 | 10.1016/S0370-2693(99)01323-4 | null | hep-th | null | We study the vacuum partition functional Z [J] for a system of closed,
bosonic p-branes coupled to p-forms in the limiting case: p+1 = space-time
dimension. We suggest an extension of the duality transformation which can be
applied to the limiting case even though no dual gauge potential exists in the
conventional sense. The dual action thus obtained describes a current-current,
static interaction within the bulk volume bounded by the d-1-brane. Guided by
these results, we then construct a general expression for the parent Lagrangian
that allows for a unified treatment of p-duality, even in the presence of
external currents, using a first order formalism instead of the Bianchi
identities. Finally, we show how this generalized dualization approach can
accommodate the inclusion of a massive topological term in the parent action of
an Abelian gauge theory.
| [
{
"created": "Mon, 8 Nov 1999 11:09:17 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ansoldi",
"S.",
""
],
[
"Aurilia",
"A.",
""
],
[
"Smailagic",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] | We study the vacuum partition functional Z [J] for a system of closed, bosonic p-branes coupled to p-forms in the limiting case: p+1 = space-time dimension. We suggest an extension of the duality transformation which can be applied to the limiting case even though no dual gauge potential exists in the conventional sense. The dual action thus obtained describes a current-current, static interaction within the bulk volume bounded by the d-1-brane. Guided by these results, we then construct a general expression for the parent Lagrangian that allows for a unified treatment of p-duality, even in the presence of external currents, using a first order formalism instead of the Bianchi identities. Finally, we show how this generalized dualization approach can accommodate the inclusion of a massive topological term in the parent action of an Abelian gauge theory. |
1911.09631 | Wolfger Peelaers | Yiwen Pan, Wolfger Peelaers | Deformation quantizations from vertex operator algebras | 40 pages; v2: argument in section 4.1 refined, references added; v3:
minor improvements, published version | JHEP 06 (2020) 127 | 10.1007/JHEP06(2020)127 | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we address the question whether one can recover from the vertex
operator algebra associated with a four-dimensional N=2 superconformal field
theory the deformation quantization of the Higgs branch of vacua that appears
as a protected subsector in the three-dimensional circle-reduced theory. We
answer this question positively if the UV R-symmetries do not mix with
accidental (topological) symmetries along the renormalization group flow from
the four-dimensional theory on a circle to the three-dimensional theory. If
they do mix, we still find a deformation quantization but at different values
of its period.
| [
{
"created": "Thu, 21 Nov 2019 17:39:15 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 11:33:10 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jul 2020 10:36:22 GMT",
"version": "v3"
}
] | 2020-07-10 | [
[
"Pan",
"Yiwen",
""
],
[
"Peelaers",
"Wolfger",
""
]
] | In this note we address the question whether one can recover from the vertex operator algebra associated with a four-dimensional N=2 superconformal field theory the deformation quantization of the Higgs branch of vacua that appears as a protected subsector in the three-dimensional circle-reduced theory. We answer this question positively if the UV R-symmetries do not mix with accidental (topological) symmetries along the renormalization group flow from the four-dimensional theory on a circle to the three-dimensional theory. If they do mix, we still find a deformation quantization but at different values of its period. |
2311.03463 | Himanshu Raj | Himanshu Raj, Raju Venugopalan | Universal features of $ 2\to N$ scattering in QCD and gravity from
shockwave collisions | 27 pages + appendices, revised version to appear in Physical Review D | null | null | null | hep-th gr-qc hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | A remarkable double copy relation of Einstein gravity to QCD in Regge
asymptotics is $\Gamma^{\mu\nu}= \frac12C^\mu C^\nu- \frac12N^\mu N^\nu$, where
$\Gamma^{\mu\nu}$ is the gravitational Lipatov vertex in the $2\to 3$ graviton
scattering amplitude, $C^\mu$ its Yang-Mills counterpart, and $N^\mu$ the QED
bremssstrahlung vertex. In QCD, the Lipatov vertex is a fundamental building
block of the BFKL equation describing $2\to N$ scattering of gluons at high
energies. Likewise, the gravitational Lipatov vertex is a key ingredient in a
2-D effective field theory framework describing trans-Planckian $2\to N$
graviton scattering. We construct a quantitative correspondence between a
semi-classical Yang-Mills framework for radiation in gluon shockwave collisions
and its counterpart in general relativity. In particular, we demonstrate the
Lipatov double copy in a dilute-dilute approximation corresponding to
$R_{S,L}$, $R_{S,H}$ $ \ll b$, with $R_{S,L}$, $R_{S,H}$ the respective
emergent Schwarzchild radii generated in shockwave collisions and $b$ is the
impact parameter. We outline extensions of the correspondence developed here to
the dilute-dense computation of gravitational wave radiation in close vicinity
of one of the black holes, the construction of graviton propagators in the
shockwave background, and a renormalization group approach to compute
$2\rightarrow N$ amplitudes that incorporates graviton reggeization and
coherent graviton multiple scattering.
| [
{
"created": "Mon, 6 Nov 2023 19:02:57 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 22:36:54 GMT",
"version": "v2"
}
] | 2024-02-01 | [
[
"Raj",
"Himanshu",
""
],
[
"Venugopalan",
"Raju",
""
]
] | A remarkable double copy relation of Einstein gravity to QCD in Regge asymptotics is $\Gamma^{\mu\nu}= \frac12C^\mu C^\nu- \frac12N^\mu N^\nu$, where $\Gamma^{\mu\nu}$ is the gravitational Lipatov vertex in the $2\to 3$ graviton scattering amplitude, $C^\mu$ its Yang-Mills counterpart, and $N^\mu$ the QED bremssstrahlung vertex. In QCD, the Lipatov vertex is a fundamental building block of the BFKL equation describing $2\to N$ scattering of gluons at high energies. Likewise, the gravitational Lipatov vertex is a key ingredient in a 2-D effective field theory framework describing trans-Planckian $2\to N$ graviton scattering. We construct a quantitative correspondence between a semi-classical Yang-Mills framework for radiation in gluon shockwave collisions and its counterpart in general relativity. In particular, we demonstrate the Lipatov double copy in a dilute-dilute approximation corresponding to $R_{S,L}$, $R_{S,H}$ $ \ll b$, with $R_{S,L}$, $R_{S,H}$ the respective emergent Schwarzchild radii generated in shockwave collisions and $b$ is the impact parameter. We outline extensions of the correspondence developed here to the dilute-dense computation of gravitational wave radiation in close vicinity of one of the black holes, the construction of graviton propagators in the shockwave background, and a renormalization group approach to compute $2\rightarrow N$ amplitudes that incorporates graviton reggeization and coherent graviton multiple scattering. |
1112.2943 | Dmitri Gal'tsov | D. V. Gal'tsov and E. A. Davydov | Yang-Mills condensates in cosmology | Submitted to Proceedings of "Quantum field theory under the influence
of external conditions", Benasque, Spain, September 18-24, 2011 2011, Sep 18
-- Sep 24 | null | 10.1142/S201019451200743X | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss homogeneous and isotropic cosmological models driven by SU(2)
gauge fields in the framework of Einstein gravity. There exists a Yang-Mills
field configuration, parametrized by a single scalar function, which consists
of parallel electric and magnetic fields and has the stress tensor mimicking an
homogeneous and isotropic fluid. The unique SU(2) gauge theory with spontaneous
symmetry breaking sharing the same property is the Yang-Mills coupled to the
complex doublet Higgs, this exists only in the case of the closed universe.
This model contains an intrinsic mechanism for inflation due to the Higgs
potential. Our second goal is to show that a successful inflation can be
achieved also within the pure Yang-Mills theory adding an appropriate
theta-term.
| [
{
"created": "Tue, 13 Dec 2011 16:20:02 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Gal'tsov",
"D. V.",
""
],
[
"Davydov",
"E. A.",
""
]
] | We discuss homogeneous and isotropic cosmological models driven by SU(2) gauge fields in the framework of Einstein gravity. There exists a Yang-Mills field configuration, parametrized by a single scalar function, which consists of parallel electric and magnetic fields and has the stress tensor mimicking an homogeneous and isotropic fluid. The unique SU(2) gauge theory with spontaneous symmetry breaking sharing the same property is the Yang-Mills coupled to the complex doublet Higgs, this exists only in the case of the closed universe. This model contains an intrinsic mechanism for inflation due to the Higgs potential. Our second goal is to show that a successful inflation can be achieved also within the pure Yang-Mills theory adding an appropriate theta-term. |
1909.09128 | Sakura Schafer-Nameki | Fabio Apruzzi, Craig Lawrie, Ling Lin, Sakura Schafer-Nameki, Yi-Nan
Wang | Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities | 146 pages, lots of figures, v2: typos corrected, v3: JHEP published
version, v4: typo in def 3.1 fixed | null | 10.1007/JHEP03(2020)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:1906.11820 and arXiv:1907.05404 we proposed an approach based on
graphs to characterize 5d superconformal field theories (SCFTs), which arise as
compactifications of 6d $\mathcal{N}= (1,0)$ SCFTs. The graphs, so-called
combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs
via M-theory on a non-compact Calabi--Yau threefold with a canonical
singularity. In this paper we complement this geometric approach by connecting
the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions
and demonstrate that the CFD as recovered from the gauge theory approach is
consistent with that as determined by geometry. To each quiver description we
also associate a graph, and the embedding of this graph into the CFD that is
associated to an SCFT provides a systematic way to enumerate all possible
consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore,
different embeddings of gauge theory graphs into a fixed CFD can give rise to
new UV-dualities for which we provide evidence through an analysis of the
prepotential, and which, for some examples, we substantiate by constructing the
M-theory geometry in which the dual quiver descriptions are manifest.
| [
{
"created": "Thu, 19 Sep 2019 17:58:03 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2019 08:49:19 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2020 22:54:23 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Feb 2021 19:08:02 GMT",
"version": "v4"
}
] | 2021-02-17 | [
[
"Apruzzi",
"Fabio",
""
],
[
"Lawrie",
"Craig",
""
],
[
"Lin",
"Ling",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wang",
"Yi-Nan",
""
]
] | In arXiv:1906.11820 and arXiv:1907.05404 we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d $\mathcal{N}= (1,0)$ SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi--Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest. |
1610.08067 | Pablo Pais | Fabrizio Canfora, Diego Hidalgo, Pablo Pais | The Gribov problem in presence of background field for $SU(2)$
Yang-Mills theory | 14 pages; 2 figures. In the new version a small but non-zero
temperature has been included. Typo corrected. The numerical results
basically unchanged | Phys. Let. B 763 (2016) 94 | 10.1016/j.physletb.2016.10.024 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Gribov problem in the presence of a background field is analyzed: in
particular, we study the Gribov copies equation in the Landau-De Witt gauge as
well as the semi-classical Gribov gap equation. As background field, we choose
the simplest non-trivial one which corresponds to a constant gauge potential
with non-vanishing component along the Euclidean time direction. This kind of
constant non-Abelian background fields is very relevant in relation with (the
computation of) the Polyakov loop but it also appears when one considers the
non-Abelian Schwinger effect. We show that the Gribov copies equation is
affected directly by the presence of the background field, constructing an
explicit example. The analysis of the Gribov gap equation shows that the larger
the background field, the smaller the Gribov mass parameter. These results
strongly suggest that the relevance of the Gribov copies (from the path
integral point of view) decreases as the size of the background field
increases.
| [
{
"created": "Tue, 25 Oct 2016 20:01:01 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2017 15:28:40 GMT",
"version": "v2"
}
] | 2017-03-14 | [
[
"Canfora",
"Fabrizio",
""
],
[
"Hidalgo",
"Diego",
""
],
[
"Pais",
"Pablo",
""
]
] | The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau-De Witt gauge as well as the semi-classical Gribov gap equation. As background field, we choose the simplest non-trivial one which corresponds to a constant gauge potential with non-vanishing component along the Euclidean time direction. This kind of constant non-Abelian background fields is very relevant in relation with (the computation of) the Polyakov loop but it also appears when one considers the non-Abelian Schwinger effect. We show that the Gribov copies equation is affected directly by the presence of the background field, constructing an explicit example. The analysis of the Gribov gap equation shows that the larger the background field, the smaller the Gribov mass parameter. These results strongly suggest that the relevance of the Gribov copies (from the path integral point of view) decreases as the size of the background field increases. |
1901.03522 | Harold Steinacker | Marcus Sperling, Harold C. Steinacker | Covariant cosmological quantum space-time, higher-spin and gravity in
the IKKT matrix model | 46 + 12 pages. V2: references added, minor corrections. V3: improved
presentation, references added, on-shell modes corrected | null | 10.1007/JHEP07(2019)010 | UWThPh-2019-02 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a $(3{+}1)$-dimensional covariant quantum space-time describing a
FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy
hyperboloid $H^4_n$. This provides a background solution of the IKKT matrix
model with mass term. We characterize the bosonic fluctuation spectrum, which
consists of a tower of higher-spin modes, truncated at $n$. The modes are
organized in terms of an underlying $SO(4,2)$ structure group, which is broken
to the $SO(3,1)$ isometry of the background. The resulting higher-spin gauge
theory includes all degrees of freedom required for gravity, and should be well
suited for quantization. All modes propagate with the same speed of light, even
though local boost invariance is not manifest. The propagating metric
perturbation modes comprise those of a massless graviton, as well as a scalar
mode. Gauge invariance allows to obtain the analog of the linearized
Einstein-Hilbert action, which is expected to be induced upon quantization.
| [
{
"created": "Fri, 11 Jan 2019 09:28:03 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Mar 2019 15:53:36 GMT",
"version": "v2"
},
{
"created": "Thu, 16 May 2019 10:22:47 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Sperling",
"Marcus",
""
],
[
"Steinacker",
"Harold C.",
""
]
] | We discuss a $(3{+}1)$-dimensional covariant quantum space-time describing a FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy hyperboloid $H^4_n$. This provides a background solution of the IKKT matrix model with mass term. We characterize the bosonic fluctuation spectrum, which consists of a tower of higher-spin modes, truncated at $n$. The modes are organized in terms of an underlying $SO(4,2)$ structure group, which is broken to the $SO(3,1)$ isometry of the background. The resulting higher-spin gauge theory includes all degrees of freedom required for gravity, and should be well suited for quantization. All modes propagate with the same speed of light, even though local boost invariance is not manifest. The propagating metric perturbation modes comprise those of a massless graviton, as well as a scalar mode. Gauge invariance allows to obtain the analog of the linearized Einstein-Hilbert action, which is expected to be induced upon quantization. |
1305.6808 | Chong-Sun Chu | Chong-Sun Chu and Hiroshi Isono | Instanton String and M-Wave in Multiple M5-Branes System | 12 pages. LaTeX | null | 10.1140/epjc/s10052-013-2586-4 | null | hep-th math-ph math.AP math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and
find new exact solutions. Our solutions are supported by Yang-Mills
(anti)instantons in 4-dimensions and describe wave moving in null directions.
We argue and provide evidence that these instanton string solutions correspond
to M-wave (MW) on the worldvolume of multiple M5-branes. When dimensionally
reduced on a circle, the MW/M5 system is reduced to the D0/D4 system with the
D0-branes represented by the Yang-Mills instanton of the D4-branes Yang-Mills
gauge theory. We show that this picture is precisely reproduced by the
dimensional reduction of our instanton string solutions.
| [
{
"created": "Wed, 29 May 2013 14:09:33 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Isono",
"Hiroshi",
""
]
] | We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in 4-dimensions and describe wave moving in null directions. We argue and provide evidence that these instanton string solutions correspond to M-wave (MW) on the worldvolume of multiple M5-branes. When dimensionally reduced on a circle, the MW/M5 system is reduced to the D0/D4 system with the D0-branes represented by the Yang-Mills instanton of the D4-branes Yang-Mills gauge theory. We show that this picture is precisely reproduced by the dimensional reduction of our instanton string solutions. |
1604.04181 | Anurag Sahay | Anurag Sahay | Restricted thermodynamic fluctuations and the Ruppeiner geometry of
black holes | published version, title trimmed to reflect the general applicability
of the formalism presented, abstract tightened, the content of previous
version pared down a bit to retain the essentials, double column format for
physical review format, the results are unaltered | Physical Review D 95, 064002 (2017) | 10.1103/PhysRevD.95.064002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Thermodynamic fluctuation metrics in Ruppeiner's formalism are worked out for
Kerr-AdS black holes in the extended state space. The implications of
constraints upon the state space geometry and their correspondence with
thermodynamical ensembles are explicitly worked out in the most general
setting. The state space scalar curvature for a given ensemble is found to be
sensitive to the instabilities/phase transitions therein. In particular, it is
found that the appropriate Ruppeiner scalar curvature does encode critical
phenomena in the Kerr-AdS black holes. A detailed study is undertaken of the
curvature contour of the state space of the 4d Kerr-AdS black hole and suitable
inferences are drawn. In particular, thermodynamic geometry suggests an
instability in the Schwarzschild-AdS limit for all the ensembles except the
pressure ensemble which is equivalent to the unextended state space of the
Kerr-AdS black holes. The extrinsic geometry of the ensemble hypersurfaces is
introduced and its relevance to constrained thermodynamic fluctuations
discussed. A new interpretation for the thermodynamic curvature of black hole
systems is suggested.
| [
{
"created": "Thu, 14 Apr 2016 15:10:53 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2016 13:29:47 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2017 06:36:00 GMT",
"version": "v3"
}
] | 2017-06-07 | [
[
"Sahay",
"Anurag",
""
]
] | Thermodynamic fluctuation metrics in Ruppeiner's formalism are worked out for Kerr-AdS black holes in the extended state space. The implications of constraints upon the state space geometry and their correspondence with thermodynamical ensembles are explicitly worked out in the most general setting. The state space scalar curvature for a given ensemble is found to be sensitive to the instabilities/phase transitions therein. In particular, it is found that the appropriate Ruppeiner scalar curvature does encode critical phenomena in the Kerr-AdS black holes. A detailed study is undertaken of the curvature contour of the state space of the 4d Kerr-AdS black hole and suitable inferences are drawn. In particular, thermodynamic geometry suggests an instability in the Schwarzschild-AdS limit for all the ensembles except the pressure ensemble which is equivalent to the unextended state space of the Kerr-AdS black holes. The extrinsic geometry of the ensemble hypersurfaces is introduced and its relevance to constrained thermodynamic fluctuations discussed. A new interpretation for the thermodynamic curvature of black hole systems is suggested. |
0708.3806 | Alberto Lerda | Marco Billo, Marialuisa Frau, Igor Pesando, Paolo Di Vecchia, Alberto
Lerda, Raffaele Marotta | Instantons in N=2 magnetized D-brane worlds | 40 pages, 5 figures, JHEP class. Some footnotes added and typos
corrected. Version published in JHEP | JHEP 0710:091,2007 | 10.1088/1126-6708/2007/10/091 | DFTT/12/2007; NORDITA-2007-24 | hep-th | null | In a toroidal orbifold of type IIB string theory we study instanton effects
in N=2 super Yang-Mills theories engineered with systems of wrapped magnetized
D9 branes and Euclidean D5 branes. We analyze the various open string sectors
in this brane system and study the 1-loop amplitudes described by annulus
diagrams with mixed boundary conditions, explaining their role in the stringy
instanton calculus. We show in particular that the non-holomorphic terms in
these annulus amplitudes precisely reconstruct the appropriate Kahler metric
factors that are needed to write the instanton correlators in terms of purely
holomorphic variables. We also explicitly derive the correct holomorphic
structure of the instanton induced low energy effective action in the Coulomb
branch.
| [
{
"created": "Tue, 28 Aug 2007 15:38:20 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2007 14:07:58 GMT",
"version": "v2"
}
] | 2009-06-11 | [
[
"Billo",
"Marco",
""
],
[
"Frau",
"Marialuisa",
""
],
[
"Pesando",
"Igor",
""
],
[
"Di Vecchia",
"Paolo",
""
],
[
"Lerda",
"Alberto",
""
],
[
"Marotta",
"Raffaele",
""
]
] | In a toroidal orbifold of type IIB string theory we study instanton effects in N=2 super Yang-Mills theories engineered with systems of wrapped magnetized D9 branes and Euclidean D5 branes. We analyze the various open string sectors in this brane system and study the 1-loop amplitudes described by annulus diagrams with mixed boundary conditions, explaining their role in the stringy instanton calculus. We show in particular that the non-holomorphic terms in these annulus amplitudes precisely reconstruct the appropriate Kahler metric factors that are needed to write the instanton correlators in terms of purely holomorphic variables. We also explicitly derive the correct holomorphic structure of the instanton induced low energy effective action in the Coulomb branch. |
hep-th/0602134 | Dmitri Fursaev | Dmitri V. Fursaev | Entanglement Entropy in Critical Phenomena and Analogue Models of
Quantum Gravity | 13 pages, published version, minor changes in the abstract, new
references | Phys.Rev.D73:124025,2006 | 10.1103/PhysRevD.73.124025 | null | hep-th cond-mat.other quant-ph | null | A general geometrical structure of the entanglement entropy for spatial
partition of a relativistic QFT system is established by using methods of the
effective gravity action and the spectral geometry. A special attention is
payed to the subleading terms in the entropy in different dimensions and to
behaviour in different states. It is conjectured, on the base of relation
between the entropy and the action, that in a fundamental theory the ground
state entanglement entropy per unit area equals $1/(4G_N)$, where $G_N$ is the
Newton constant in the low-energy gravity sector of the theory. The conjecture
opens a new avenue in analogue gravity models. For instance, in higher
dimensional condensed matter systems, which near a critical point are described
by relativistic QFT's, the entanglement entropy density defines an effective
gravitational coupling. By studying the properties of this constant one can get
new insights in quantum gravity phenomena, such as the universality of the
low-energy physics, the renormalization group behavior of $G_N$, the
statistical meaning of the Bekenstein-Hawking entropy.
| [
{
"created": "Tue, 14 Feb 2006 09:32:27 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2006 06:58:15 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fursaev",
"Dmitri V.",
""
]
] | A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the subleading terms in the entropy in different dimensions and to behaviour in different states. It is conjectured, on the base of relation between the entropy and the action, that in a fundamental theory the ground state entanglement entropy per unit area equals $1/(4G_N)$, where $G_N$ is the Newton constant in the low-energy gravity sector of the theory. The conjecture opens a new avenue in analogue gravity models. For instance, in higher dimensional condensed matter systems, which near a critical point are described by relativistic QFT's, the entanglement entropy density defines an effective gravitational coupling. By studying the properties of this constant one can get new insights in quantum gravity phenomena, such as the universality of the low-energy physics, the renormalization group behavior of $G_N$, the statistical meaning of the Bekenstein-Hawking entropy. |
1507.03235 | Seung-Joo Lee | Lara B. Anderson, Fabio Apruzzi, Xin Gao, James Gray, Seung-Joo Lee | A New Construction of Calabi-Yau Manifolds: Generalized CICYs | 52 pages | null | 10.1016/j.nuclphysb.2016.03.016 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a generalization of the complete intersection in products of
projective space (CICY) construction of Calabi-Yau manifolds. CICY three-folds
and four-folds have been studied extensively in the physics literature. Their
utility stems from the fact that they can be simply described in terms of a
`configuration matrix', a matrix of integers from which many of the details of
the geometries can be easily extracted. The generalization we present is to
allow negative integers in the configuration matrices which were previously
taken to have positive semi-definite entries. This broadening of the complete
intersection construction leads to a larger class of Calabi-Yau manifolds than
that considered in previous work, which nevertheless enjoys much of the same
degree of calculational control. These new Calabi-Yau manifolds are complete
intersections in (not necessarily Fano) ambient spaces with an effective
anticanonical class. We find examples with topology distinct from any that has
appeared in the literature to date. The new manifolds thus obtained have many
interesting features. For example, they can have smaller Hodge numbers than
ordinary CICYs and lead to many examples with elliptic and K3-fibration
structures relevant to F-theory and string dualities.
| [
{
"created": "Sun, 12 Jul 2015 14:50:16 GMT",
"version": "v1"
}
] | 2016-05-04 | [
[
"Anderson",
"Lara B.",
""
],
[
"Apruzzi",
"Fabio",
""
],
[
"Gao",
"Xin",
""
],
[
"Gray",
"James",
""
],
[
"Lee",
"Seung-Joo",
""
]
] | We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi-Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. Their utility stems from the fact that they can be simply described in terms of a `configuration matrix', a matrix of integers from which many of the details of the geometries can be easily extracted. The generalization we present is to allow negative integers in the configuration matrices which were previously taken to have positive semi-definite entries. This broadening of the complete intersection construction leads to a larger class of Calabi-Yau manifolds than that considered in previous work, which nevertheless enjoys much of the same degree of calculational control. These new Calabi-Yau manifolds are complete intersections in (not necessarily Fano) ambient spaces with an effective anticanonical class. We find examples with topology distinct from any that has appeared in the literature to date. The new manifolds thus obtained have many interesting features. For example, they can have smaller Hodge numbers than ordinary CICYs and lead to many examples with elliptic and K3-fibration structures relevant to F-theory and string dualities. |
0801.1160 | Vid Stojevic | Vid Stojevic | Topological A-Type Models with Flux | 30 pages. v2: Improved Version. References added. v3: Minor changes,
published in JHEP | JHEP 0805:023,2008 | 10.1088/1126-6708/2008/05/023 | null | hep-th math.DG | null | We study deformations of the A-model in the presence of fluxes, by which we
mean rank-three tensors with antisymmetrized upper/lower indices, using the
AKSZ construction. Generically these are topological membrane models, and we
show that the fluxes are related to deformations of the Courant bracket which
generalize the twist by a closed 3-from $H$, in the sense that satisfying the
AKSZ master equation implies the integrability conditions for an almost
generalized complex structure with respect to the deformed Courant bracket. In
addition, the master equation imposes conditions on the fluxes that generalize
$dH=0$. The membrane model can be defined on a large class of $U(m)$- and $U(m)
\times U(m)$-structure manifolds, including geometries inspired by $(1,1)$
supersymmetric $\sigma$-models with additional supersymmetries due to almost
complex (but not necessarily complex) structures in the target space.
Furthermore, we show that the model can be defined on three particular
half-flat manifolds related to the Iwasawa manifold.
When only $H$-flux is turned on it is possible to obtain a topological string
model, which we do for the case of a Calabi-Yau with a closed 3-form turned on.
The simplest deformation from the A-model is due to the $(2,0)+ (0,2)$
component of a non-trivial $b$-field. The model is generically no longer
evaluated on holomorphic maps and defines new topological invariants.
Deformations due to $H$-flux can be more radical, completely preventing
auxiliary fields from being integrated out.
| [
{
"created": "Tue, 8 Jan 2008 20:58:47 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2008 18:03:44 GMT",
"version": "v2"
},
{
"created": "Mon, 5 May 2008 19:57:53 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Stojevic",
"Vid",
""
]
] | We study deformations of the A-model in the presence of fluxes, by which we mean rank-three tensors with antisymmetrized upper/lower indices, using the AKSZ construction. Generically these are topological membrane models, and we show that the fluxes are related to deformations of the Courant bracket which generalize the twist by a closed 3-from $H$, in the sense that satisfying the AKSZ master equation implies the integrability conditions for an almost generalized complex structure with respect to the deformed Courant bracket. In addition, the master equation imposes conditions on the fluxes that generalize $dH=0$. The membrane model can be defined on a large class of $U(m)$- and $U(m) \times U(m)$-structure manifolds, including geometries inspired by $(1,1)$ supersymmetric $\sigma$-models with additional supersymmetries due to almost complex (but not necessarily complex) structures in the target space. Furthermore, we show that the model can be defined on three particular half-flat manifolds related to the Iwasawa manifold. When only $H$-flux is turned on it is possible to obtain a topological string model, which we do for the case of a Calabi-Yau with a closed 3-form turned on. The simplest deformation from the A-model is due to the $(2,0)+ (0,2)$ component of a non-trivial $b$-field. The model is generically no longer evaluated on holomorphic maps and defines new topological invariants. Deformations due to $H$-flux can be more radical, completely preventing auxiliary fields from being integrated out. |
hep-th/0601191 | Livia Ferro | M. Billo, M. Caselle and L. Ferro | The partition function of interfaces from the Nambu-Goto effective
string theory | 28 pages, 4 figures | JHEP0602:070,2006 | 10.1088/1126-6708/2006/02/070 | DFFT/02/06 | hep-th cond-mat.stat-mech hep-lat | null | We consider the Nambu-Goto bosonic string model as a description of the
physics of interfaces. By using the standard covariant quantization of the
bosonic string, we derive an exact expression for the partition function in
dependence of the geometry of the interface. Our expression, obtained by
operatorial methods, resums the loop expansion of the NG model in the "physical
gauge" computed perturbatively by functional integral methods in the
literature. Recently, very accurate Monte Carlo data for the interface free
energy in the 3d Ising model became avaliable. Our proposed expression compares
very well to the data for values of the area sufficiently large in terms of the
inverse string tension. This pattern is expected on theoretical grounds and
agrees with previous analyses of other observables in the Ising model.
| [
{
"created": "Wed, 25 Jan 2006 16:25:11 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Billo",
"M.",
""
],
[
"Caselle",
"M.",
""
],
[
"Ferro",
"L.",
""
]
] | We consider the Nambu-Goto bosonic string model as a description of the physics of interfaces. By using the standard covariant quantization of the bosonic string, we derive an exact expression for the partition function in dependence of the geometry of the interface. Our expression, obtained by operatorial methods, resums the loop expansion of the NG model in the "physical gauge" computed perturbatively by functional integral methods in the literature. Recently, very accurate Monte Carlo data for the interface free energy in the 3d Ising model became avaliable. Our proposed expression compares very well to the data for values of the area sufficiently large in terms of the inverse string tension. This pattern is expected on theoretical grounds and agrees with previous analyses of other observables in the Ising model. |
hep-th/9409144 | Nadja Kutz | C. Emmrich, N. Kutz | Doubly discrete Lagrangian systems related to the Hirota and Sine-Gordon
equation | 7 pages, Sfb288 Preprint 139 | Phys. Lett. A201:156-160,1995 | 10.1016/0375-9601(95)00233-S | null | hep-th | null | We extend the action for evolution equations of KdV and MKdV type which was
derived in [Capel/Nijhoff] to the case of not periodic, but only equivariant
phase space variables, introduced in [Faddeev/Volkov]. The difference of these
variables may be interpreted as reduced phase space variables via a
Marsden-Weinstein reduction where the monodromies play the role of the momentum
map. As an example we obtain the doubly discrete sine-Gordon equation and the
Hirota equation and the corresponding symplectic structures.
| [
{
"created": "Fri, 23 Sep 1994 16:39:04 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Emmrich",
"C.",
""
],
[
"Kutz",
"N.",
""
]
] | We extend the action for evolution equations of KdV and MKdV type which was derived in [Capel/Nijhoff] to the case of not periodic, but only equivariant phase space variables, introduced in [Faddeev/Volkov]. The difference of these variables may be interpreted as reduced phase space variables via a Marsden-Weinstein reduction where the monodromies play the role of the momentum map. As an example we obtain the doubly discrete sine-Gordon equation and the Hirota equation and the corresponding symplectic structures. |
hep-th/0006181 | J\"urgen Fuchs | J. Fuchs, C. Schweigert | Solitonic sectors, alpha-induction and symmetry breaking boundaries | 13 pages, LaTeX2e; v2: typos corrected | Phys.Lett. B490 (2000) 163-172 | 10.1016/S0370-2693(00)00974-6 | PAR-LPTHE 00-26, ESI-907 | hep-th | null | We develop a systematic approach to boundary conditions that break bulk
symmetries in a general way such that left and right movers are not necessarily
connected by an automorphism. In the context of string compactifications, such
boundary conditions typically include non-BPS branes. Our formalism is based on
two dual fusion rings, one for the bulk and one for the boundary fields. Only
in the Cardy case these two structures coincide. In general they are related by
a version of alpha-induction. Symmetry breaking boundary conditions correspond
to solitonic sectors. In examples, we compute the annulus amplitudes and
boundary states.
| [
{
"created": "Thu, 22 Jun 2000 19:40:53 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Aug 2000 11:13:17 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] | We develop a systematic approach to boundary conditions that break bulk symmetries in a general way such that left and right movers are not necessarily connected by an automorphism. In the context of string compactifications, such boundary conditions typically include non-BPS branes. Our formalism is based on two dual fusion rings, one for the bulk and one for the boundary fields. Only in the Cardy case these two structures coincide. In general they are related by a version of alpha-induction. Symmetry breaking boundary conditions correspond to solitonic sectors. In examples, we compute the annulus amplitudes and boundary states. |
hep-th/9112024 | Michael Olshanetsky | Eugene Wong (University of Pennsylvania) | Recursion relations in semirigid topological gravity | 30pp | Int.J.Mod.Phys. A7 (1992) 6773-6798 | 10.1142/S0217751X92003100 | null | hep-th | null | A field theoretical realization of topological gravity is discussed in the
semirigid geometry context. In particular, its topological nature is given by
the relation between deRham cohomology and equivariant BRST cohomology and the
fact that all but one of the physical operators are BRST-exact. The puncture
equation and the dilaton equation of pure topological gravity are reproduced,
following reference \dil.
| [
{
"created": "Tue, 10 Dec 1991 23:22:04 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 1991 21:40:19 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Wong",
"Eugene",
"",
"University of Pennsylvania"
]
] | A field theoretical realization of topological gravity is discussed in the semirigid geometry context. In particular, its topological nature is given by the relation between deRham cohomology and equivariant BRST cohomology and the fact that all but one of the physical operators are BRST-exact. The puncture equation and the dilaton equation of pure topological gravity are reproduced, following reference \dil. |
hep-th/0610244 | Massimiliano Rinaldi | Massimiliano Rinaldi | Self-T-Dual Brane Cosmology | 3 pages, based on a talk given at the XI Marcel Grossmann Meeting,
Berlin 23-29 July, 2006 | null | 10.1142/9789812834300_0534 | null | hep-th astro-ph gr-qc | null | We show how T-duality can be implemented with brane cosmology. As a result,
we obtain a smooth bouncing cosmology with features similar to the ones of the
pre-Big Bang scenario. Also, by allowing T-duality transformations along the
time-like direction, we find a static solution that displays an interesting
self tuning property.
| [
{
"created": "Mon, 23 Oct 2006 14:11:43 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 2006 12:42:56 GMT",
"version": "v2"
}
] | 2016-11-15 | [
[
"Rinaldi",
"Massimiliano",
""
]
] | We show how T-duality can be implemented with brane cosmology. As a result, we obtain a smooth bouncing cosmology with features similar to the ones of the pre-Big Bang scenario. Also, by allowing T-duality transformations along the time-like direction, we find a static solution that displays an interesting self tuning property. |
2111.03045 | Julio Parra-Martinez | Clifford Cheung, Andreas Helset, Julio Parra-Martinez | Geometric Soft Theorems | 32 pages + refs, 2 figures | null | 10.1007/JHEP04(2022)011 | CALT-TH-2021-038 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a universal soft theorem for every scattering amplitude with at
least one massless particle in an arbitrary theory of scalars. Our results
follow from the geometry of field space and are valid for any choice of mass
spectrum, potential terms, and higher-derivative interactions. For a vanishing
potential, the soft limit of every amplitude is equal to the field-space
covariant derivative of an amplitude with one fewer particle. Furthermore, the
Adler zero and the dilaton soft theorem are special cases of our results. We
also discuss more exotic scenarios in which the soft limit is non-trivial but
still universal. Last but not least, we derive new theorems for multiple-soft
limits which directly probe the field-space curvature, as well as on-shell
recursion relations applicable to two-derivative scalar field theories
exhibiting no symmetries whatsoever.
| [
{
"created": "Thu, 4 Nov 2021 17:49:00 GMT",
"version": "v1"
}
] | 2022-04-20 | [
[
"Cheung",
"Clifford",
""
],
[
"Helset",
"Andreas",
""
],
[
"Parra-Martinez",
"Julio",
""
]
] | We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum, potential terms, and higher-derivative interactions. For a vanishing potential, the soft limit of every amplitude is equal to the field-space covariant derivative of an amplitude with one fewer particle. Furthermore, the Adler zero and the dilaton soft theorem are special cases of our results. We also discuss more exotic scenarios in which the soft limit is non-trivial but still universal. Last but not least, we derive new theorems for multiple-soft limits which directly probe the field-space curvature, as well as on-shell recursion relations applicable to two-derivative scalar field theories exhibiting no symmetries whatsoever. |
0806.1930 | Vardarajan Suneeta | V. Suneeta | Investigating Off-shell Stability of Anti-de Sitter Space in String
Theory | 29 pages, references added in this version to appear in Classical and
Quantum Gravity | Class.Quant.Grav.26:035023,2009 | 10.1088/0264-9381/26/3/035023 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an investigation of stability of vacua in string theory by
studying their stability with respect to a (suitable) world-sheet
renormalization group (RG) flow. We prove geometric stability of (Euclidean)
anti-de Sitter (AdS) space (i.e., $\mathbf{H}^n$) with respect to the simplest
RG flow in closed string theory, the Ricci flow. AdS space is not a fixed point
of Ricci flow. We therefore choose an appropriate flow for which it is a fixed
point, prove a linear stability result for AdS space with respect to this flow,
and then show this implies its geometric stability with respect to Ricci flow.
The techniques used can be generalized to RG flows involving other fields. We
also discuss tools from the mathematics of geometric flows that can be used to
study stability of string vacua.
| [
{
"created": "Wed, 11 Jun 2008 18:44:11 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2008 19:07:19 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Dec 2008 00:27:14 GMT",
"version": "v3"
}
] | 2009-01-27 | [
[
"Suneeta",
"V.",
""
]
] | We propose an investigation of stability of vacua in string theory by studying their stability with respect to a (suitable) world-sheet renormalization group (RG) flow. We prove geometric stability of (Euclidean) anti-de Sitter (AdS) space (i.e., $\mathbf{H}^n$) with respect to the simplest RG flow in closed string theory, the Ricci flow. AdS space is not a fixed point of Ricci flow. We therefore choose an appropriate flow for which it is a fixed point, prove a linear stability result for AdS space with respect to this flow, and then show this implies its geometric stability with respect to Ricci flow. The techniques used can be generalized to RG flows involving other fields. We also discuss tools from the mathematics of geometric flows that can be used to study stability of string vacua. |
hep-th/9910112 | Laszlo Feher | J. Balog, L. Feher, L. Palla | Classical Wakimoto Realizations of Chiral WZNW Bloch Waves | 13 pages, LaTeX | J.Phys.A33:945-956,2000 | 10.1088/0305-4470/33/5/310 | null | hep-th math-ph math.MP math.QA | null | It is well-known that the chiral WZNW Bloch waves satisfy a quadratic
classical exchange algebra which implies the affine Kac-Moody algebra for the
corresponding currents. We here obtain a direct derivation of the exchange
algebra by inverting the symplectic form on the space of Bloch waves, and give
a completely algorithmic construction of its generalized free field
realizations that extend the classical Wakimoto realizations of the current
algebra.
| [
{
"created": "Fri, 15 Oct 1999 08:12:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Balog",
"J.",
""
],
[
"Feher",
"L.",
""
],
[
"Palla",
"L.",
""
]
] | It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free field realizations that extend the classical Wakimoto realizations of the current algebra. |
1908.06565 | Jie Jiang | Jie Jiang, Banglin Deng, and Xiao-Wei Li | Holographic complexity of charged Taub-NUT-AdS black holes | 10 pages, 5 figures. This paper has been accepted by PRD | Phys. Rev. D 100, 066007 (2019) | 10.1103/PhysRevD.100.066007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the holographic complexity in the charged
Taub-NUT-AdS black holes with Misner strings present in the Einstein-Maxwell
gravity. We show that differing from the normal black holes, where the
late-time complexity growth rate is only determined by the quantities at outer
and inner ``Reissner-Nordstrom''-type (RN-type) horizons, here the quantities
(the Misner potential and Misner charge) related to the Misner strings also
play an important role in CA complexity. Similar to the case of the normal
electromagnetic black hole, the late-time rate for the original CA conjecture
is independent on the magnetic charges. However, disparate with common results
of the dyonic solutions, the electric charge appeared here is the total charge
of this black hole. Besides, we found that the result in this original CA
conjecture also violates the electromagnetic duality. And this duality can be
restored by adding the Maxwell boundary term with the proportional constant
$\g=1/2$. In this case, the late-time rate is sensitive to the magnetic charge.
Moreover, we also found that the additional term only changes the proportion
between the electric and magnetic charges, and it does not affect the Misner
term appeared in the late-time rate. Finally, we studied the time-dependence of
the complexity growth rate and found that they share similar behaviors with
that in RN-AdS black holes.
| [
{
"created": "Mon, 19 Aug 2019 02:41:13 GMT",
"version": "v1"
}
] | 2019-09-11 | [
[
"Jiang",
"Jie",
""
],
[
"Deng",
"Banglin",
""
],
[
"Li",
"Xiao-Wei",
""
]
] | In this paper, we investigate the holographic complexity in the charged Taub-NUT-AdS black holes with Misner strings present in the Einstein-Maxwell gravity. We show that differing from the normal black holes, where the late-time complexity growth rate is only determined by the quantities at outer and inner ``Reissner-Nordstrom''-type (RN-type) horizons, here the quantities (the Misner potential and Misner charge) related to the Misner strings also play an important role in CA complexity. Similar to the case of the normal electromagnetic black hole, the late-time rate for the original CA conjecture is independent on the magnetic charges. However, disparate with common results of the dyonic solutions, the electric charge appeared here is the total charge of this black hole. Besides, we found that the result in this original CA conjecture also violates the electromagnetic duality. And this duality can be restored by adding the Maxwell boundary term with the proportional constant $\g=1/2$. In this case, the late-time rate is sensitive to the magnetic charge. Moreover, we also found that the additional term only changes the proportion between the electric and magnetic charges, and it does not affect the Misner term appeared in the late-time rate. Finally, we studied the time-dependence of the complexity growth rate and found that they share similar behaviors with that in RN-AdS black holes. |
2105.12755 | Felix Haehl | Felix M. Haehl, Alexandre Streicher, Ying Zhao | Six-point functions and collisions in the black hole interior | 26 pages, 11 figures + 4 appendices; v2: minor improvements | null | 10.1007/JHEP08(2021)134 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the eternal AdS black hole geometry, we consider two signals sent from the
boundaries into the black hole interior shared between the two asymptotic
regions. We compute three different out-of-time-order six-point functions to
quantify various properties of the collision of these signals behind the
horizons: (i) We diagnose the strength of the collision by probing the
two-signal state on a late time slice with boundary operators. (ii) We quantify
two-sided operator growth, which provides a dual description of the signals
meeting in the black hole interior, in terms of the quantum butterfly effect
and quantum circuits. (iii) We consider an explicit coupling between the left
and right CFTs to make the wormhole traversable and extract information about
the collision product from behind the horizon. At a technical level, our
results rely on the method of eikonal resummation to obtain the relevant
gravitational contributions to Lorentzian six-point functions at all orders in
the $G_N$-expansion. We observe that such correlation functions display an
intriguing factorization property. We corroborate these results with geodesic
computations of six-point functions in two- and three-dimensional gravity.
| [
{
"created": "Wed, 26 May 2021 18:01:23 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2022 16:08:02 GMT",
"version": "v2"
}
] | 2022-02-11 | [
[
"Haehl",
"Felix M.",
""
],
[
"Streicher",
"Alexandre",
""
],
[
"Zhao",
"Ying",
""
]
] | In the eternal AdS black hole geometry, we consider two signals sent from the boundaries into the black hole interior shared between the two asymptotic regions. We compute three different out-of-time-order six-point functions to quantify various properties of the collision of these signals behind the horizons: (i) We diagnose the strength of the collision by probing the two-signal state on a late time slice with boundary operators. (ii) We quantify two-sided operator growth, which provides a dual description of the signals meeting in the black hole interior, in terms of the quantum butterfly effect and quantum circuits. (iii) We consider an explicit coupling between the left and right CFTs to make the wormhole traversable and extract information about the collision product from behind the horizon. At a technical level, our results rely on the method of eikonal resummation to obtain the relevant gravitational contributions to Lorentzian six-point functions at all orders in the $G_N$-expansion. We observe that such correlation functions display an intriguing factorization property. We corroborate these results with geodesic computations of six-point functions in two- and three-dimensional gravity. |
1001.5291 | Gustavo Niz | Edmund J. Copeland, Gustavo Niz and Neil Turok | The string wave function across a Kasner singularity | 28 pages, 10 figures | Phys.Rev.D81:126006,2010 | 10.1103/PhysRevD.81.126006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A collision of orbifold planes in eleven dimensions has been proposed as an
explanation of the hot big bang. When the two planes are close to each other,
the winding membranes become the lightest modes of the theory, and can be
effectively described in terms of fundamental strings in a ten dimensional
background. Near the brane collision, the eleven-dimensional metric is an
Euclidean space times a 1+1-dimensional Milne universe. However, one may expect
small perturbations to lead into a more general Kasner background. In this
paper we extend the previous classical analysis of winding membranes to Kasner
backgrounds, and using the Hamiltonian equations, solve for the wave function
of loops with circular symmetry. The evolution across the singularity is
regular, and explained in terms of the excitement of higher oscillation modes.
We also show there is finite particle production and unitarity is preserved.
| [
{
"created": "Thu, 28 Jan 2010 23:24:28 GMT",
"version": "v1"
},
{
"created": "Sun, 23 May 2010 01:28:52 GMT",
"version": "v2"
}
] | 2011-11-04 | [
[
"Copeland",
"Edmund J.",
""
],
[
"Niz",
"Gustavo",
""
],
[
"Turok",
"Neil",
""
]
] | A collision of orbifold planes in eleven dimensions has been proposed as an explanation of the hot big bang. When the two planes are close to each other, the winding membranes become the lightest modes of the theory, and can be effectively described in terms of fundamental strings in a ten dimensional background. Near the brane collision, the eleven-dimensional metric is an Euclidean space times a 1+1-dimensional Milne universe. However, one may expect small perturbations to lead into a more general Kasner background. In this paper we extend the previous classical analysis of winding membranes to Kasner backgrounds, and using the Hamiltonian equations, solve for the wave function of loops with circular symmetry. The evolution across the singularity is regular, and explained in terms of the excitement of higher oscillation modes. We also show there is finite particle production and unitarity is preserved. |
2402.05775 | Aphiwat Yuenyong | Aphiwat Yuenyong and Pongwit Srisangyingcharoen | Relations between closed string amplitudes and mixed string amplitudes
at tree-level | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This paper investigates the relationships between closed and mixed string
amplitudes at the tree level in string theory. Through the analytic
continuation of complex variables, we establish a factorization of closed
string amplitudes into those involving ($n-2$) open strings and a single closed
string. Expressions for four-, five-, and six-point amplitudes are provided,
along with systematic formulations for $n$ strings. The paper addresses
possible correction terms arising from integration along infinite tubes during
the Wick rotation process. In the field theory limit, the correction terms
become negligible due to being of subleading order.
| [
{
"created": "Thu, 8 Feb 2024 16:02:31 GMT",
"version": "v1"
}
] | 2024-02-09 | [
[
"Yuenyong",
"Aphiwat",
""
],
[
"Srisangyingcharoen",
"Pongwit",
""
]
] | This paper investigates the relationships between closed and mixed string amplitudes at the tree level in string theory. Through the analytic continuation of complex variables, we establish a factorization of closed string amplitudes into those involving ($n-2$) open strings and a single closed string. Expressions for four-, five-, and six-point amplitudes are provided, along with systematic formulations for $n$ strings. The paper addresses possible correction terms arising from integration along infinite tubes during the Wick rotation process. In the field theory limit, the correction terms become negligible due to being of subleading order. |
2112.12930 | Rhucha Deshpande | Rhucha Deshpande and Oleg Lunin | Black branes with cosmological constant | 33 pages | null | 10.1007/JHEP05(2022)136 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study neutral black branes with flat and curved worldvolumes in the
presence of a negative cosmological constant. We reduce the equations governing
the dynamics of such objects to one second--order ODE and perform various
asymptotic expansions of the resulting equation. We also analyze regular
geometries which have the same symmetries as the branes and interpolate between
an empty interior and AdS asymptotics. We show that the dynamics of such
spacetimes is governed by the Abel equation.
| [
{
"created": "Fri, 24 Dec 2021 03:56:31 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 19:46:56 GMT",
"version": "v2"
}
] | 2022-06-08 | [
[
"Deshpande",
"Rhucha",
""
],
[
"Lunin",
"Oleg",
""
]
] | We study neutral black branes with flat and curved worldvolumes in the presence of a negative cosmological constant. We reduce the equations governing the dynamics of such objects to one second--order ODE and perform various asymptotic expansions of the resulting equation. We also analyze regular geometries which have the same symmetries as the branes and interpolate between an empty interior and AdS asymptotics. We show that the dynamics of such spacetimes is governed by the Abel equation. |
2209.06144 | Eleanor Harris | Dionysios Anninos and Eleanor Harris | Interpolating geometries and the stretched dS$_2$ horizon | 18 pages + appendices, 6 figures | null | 10.1007/JHEP11(2022)166 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate dilaton-gravity models whose solutions contain a large portion
of the static patch of dS$_2$. The thermodynamic properties of these theories
are considered both in the presence of a finite Dirichlet wall, as well as for
asymptotically near-AdS$_2$ boundaries. We show that under certain
circumstances such geometries, including those endowed with an asymptotically
near-AdS$_2$ boundary, can be locally and even globally thermodynamically
stable within particular temperature regimes. First order phase transitions
reminiscent of the Hawking-Page transition are discussed. For judiciously
chosen models, the near-AdS$_2$ boundary can be viewed as a completion of the
stretched cosmological dS$_2$ horizon. We speculate on candidate microphysical
models.
| [
{
"created": "Tue, 13 Sep 2022 16:35:46 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2022 10:38:17 GMT",
"version": "v2"
}
] | 2022-12-14 | [
[
"Anninos",
"Dionysios",
""
],
[
"Harris",
"Eleanor",
""
]
] | We investigate dilaton-gravity models whose solutions contain a large portion of the static patch of dS$_2$. The thermodynamic properties of these theories are considered both in the presence of a finite Dirichlet wall, as well as for asymptotically near-AdS$_2$ boundaries. We show that under certain circumstances such geometries, including those endowed with an asymptotically near-AdS$_2$ boundary, can be locally and even globally thermodynamically stable within particular temperature regimes. First order phase transitions reminiscent of the Hawking-Page transition are discussed. For judiciously chosen models, the near-AdS$_2$ boundary can be viewed as a completion of the stretched cosmological dS$_2$ horizon. We speculate on candidate microphysical models. |
2009.00404 | Francois Larrouturou | C\'edric Deffayet, Fran\c{c}ois Larrouturou | Domain walls without a potential | 24 pages, 5 figures | Phys. Rev. D 103, 036010 (2021) | 10.1103/PhysRevD.103.036010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that domain walls, or kinks, can be constructed in simple scalar
theories where the scalar has no potential. These theories belong to a class of
k-essence where the Lagrangian vanishes identically when one lets the
derivatives of the scalar vanish. The domain walls we construct have positive
energy and stable quadratic perturbations. As particular cases, we find
families of theories with domain walls and their quadratic perturbations
identical to the ones of the canonical Mexican hat or sine-Gordon scalar
theories. We show that canonical and non canonical cases are nevertheless
distinguishable via higher order perturbations or a careful examination of the
energies. In particular, in contrast to the usual case, our walls are local
minima of the energy among the field configuration having some fixed
topological charge, but not global minima.
| [
{
"created": "Tue, 1 Sep 2020 13:15:23 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Deffayet",
"Cédric",
""
],
[
"Larrouturou",
"François",
""
]
] | We show that domain walls, or kinks, can be constructed in simple scalar theories where the scalar has no potential. These theories belong to a class of k-essence where the Lagrangian vanishes identically when one lets the derivatives of the scalar vanish. The domain walls we construct have positive energy and stable quadratic perturbations. As particular cases, we find families of theories with domain walls and their quadratic perturbations identical to the ones of the canonical Mexican hat or sine-Gordon scalar theories. We show that canonical and non canonical cases are nevertheless distinguishable via higher order perturbations or a careful examination of the energies. In particular, in contrast to the usual case, our walls are local minima of the energy among the field configuration having some fixed topological charge, but not global minima. |
0809.3786 | Soo-Jong Rey | Soo-Jong Rey, Takao Suyama, Satoshi Yamaguchi | Wilson Loops in Superconformal Chern-Simons Theory and Fundamental
Strings in Anti-de Sitter Supergravity Dual | v1. 34 pages, 11 figures: v2. major revision, all loop proof added 42
pages, 11 figures | JHEP 0903:127,2009 | 10.1088/1126-6708/2009/03/127 | SNUST 080903 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Wilson loop operators in three-dimensional, N=6 superconformal
Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of
Wilson loop operators in this theory is that, for a given contour, there are
two linear combinations of Wilson loop transforming oppositely under
time-reversal transformation. We show that one combination is holographically
dual to IIA fundamental string, while orthogonal combination is set to zero. We
gather supporting evidences from detailed comparative study of generalized
time-reversal transformations in both D2-brane worldvolume and ABJM theories.
We then classify supersymmetric Wilson loops and find at most
1/6-supersymmetry. We next study Wilson loop expectation value in planar
perturbation theory. For circular Wilson loop, we find features remarkably
parallel to circular Wilson loop in N=4 super Yang-Mills theory in four
dimensions. First, all odd loop diagrams vanish identically and even loops
contribute nontrivial contributions. Second, quantum corrected gauge and scalar
propagators take the same form as those of N=4 super Yang-Mills theory.
Combining these results, we propose that expectation value of circular Wilson
loop is given by Wilson loop expectation value in pure Chern-Simons theory
times zero-dimensional Gaussian matrix model whose variance is specified by an
interpolating function of `t Hooft coupling. We suggest the function
interpolates smoothly between weak and strong coupling regime, offering new
test ground of the AdS/CFT correspondence.
| [
{
"created": "Tue, 23 Sep 2008 19:59:29 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2009 17:46:51 GMT",
"version": "v2"
}
] | 2009-03-27 | [
[
"Rey",
"Soo-Jong",
""
],
[
"Suyama",
"Takao",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] | We study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear combinations of Wilson loop transforming oppositely under time-reversal transformation. We show that one combination is holographically dual to IIA fundamental string, while orthogonal combination is set to zero. We gather supporting evidences from detailed comparative study of generalized time-reversal transformations in both D2-brane worldvolume and ABJM theories. We then classify supersymmetric Wilson loops and find at most 1/6-supersymmetry. We next study Wilson loop expectation value in planar perturbation theory. For circular Wilson loop, we find features remarkably parallel to circular Wilson loop in N=4 super Yang-Mills theory in four dimensions. First, all odd loop diagrams vanish identically and even loops contribute nontrivial contributions. Second, quantum corrected gauge and scalar propagators take the same form as those of N=4 super Yang-Mills theory. Combining these results, we propose that expectation value of circular Wilson loop is given by Wilson loop expectation value in pure Chern-Simons theory times zero-dimensional Gaussian matrix model whose variance is specified by an interpolating function of `t Hooft coupling. We suggest the function interpolates smoothly between weak and strong coupling regime, offering new test ground of the AdS/CFT correspondence. |
2404.17061 | Taro Kimura | Taro Kimura and Go Noshita | Gauge origami and quiver W-algebras II: Vertex function and beyond
quantum $q$-Langlands correspondence | 30 pages | null | null | null | hep-th math.AG math.QA | http://creativecommons.org/licenses/by/4.0/ | We continue the study of generalized gauge theory called gauge origami, based
on the quantum algebraic approach initiated in [arXiv:2310.08545]. In this
article, we in particular explore the D2 brane system realized by the screened
vertex operators of the corresponding W-algebra. The partition function of this
system given by the corresponding conformal block is identified with the vertex
function associated with quasimaps to Nakajima quiver varieties and
generalizations, that plays a central role in the quantum $q$-Langlands
correspondence. Based on the quantum algebraic perspective, we address three
new aspects of the correspondence: (i) Direct equivalence between the electric
and magnetic blocks by constructing stable envelopes from the chamber structure
of the vertex operators, (ii) Double affine generalization of quantum
$q$-Langlands correspondence, and (iii) Conformal block realization of the
origami vertex function associated with intersection of quasimaps, that
realizes the higher-rank multi-leg Pandharipande-Thomas vertices of 3-fold and
4-fold.
| [
{
"created": "Thu, 25 Apr 2024 22:11:04 GMT",
"version": "v1"
}
] | 2024-04-29 | [
[
"Kimura",
"Taro",
""
],
[
"Noshita",
"Go",
""
]
] | We continue the study of generalized gauge theory called gauge origami, based on the quantum algebraic approach initiated in [arXiv:2310.08545]. In this article, we in particular explore the D2 brane system realized by the screened vertex operators of the corresponding W-algebra. The partition function of this system given by the corresponding conformal block is identified with the vertex function associated with quasimaps to Nakajima quiver varieties and generalizations, that plays a central role in the quantum $q$-Langlands correspondence. Based on the quantum algebraic perspective, we address three new aspects of the correspondence: (i) Direct equivalence between the electric and magnetic blocks by constructing stable envelopes from the chamber structure of the vertex operators, (ii) Double affine generalization of quantum $q$-Langlands correspondence, and (iii) Conformal block realization of the origami vertex function associated with intersection of quasimaps, that realizes the higher-rank multi-leg Pandharipande-Thomas vertices of 3-fold and 4-fold. |
0810.5128 | Thomas S. Levi | Spencer Chang, Matthew Kleban, Thomas S. Levi | Watching Worlds Collide: Effects on the CMB from Cosmological Bubble
Collisions | JCAP version, added references and discussion, 32 pages, 15 figures | JCAP 0904:025,2009 | 10.1088/1475-7516/2009/04/025 | null | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our previous work on the cosmology of Coleman-de Luccia bubble
collisions. Within a set of approximations we calculate the effects on the
cosmic microwave background (CMB) as seen from inside a bubble which has
undergone such a collision. We find that the effects are always qualitatively
similar--an anisotropy that depends only on the angle to the collision
direction--but can produce a cold or hot spot of varying size, as well as power
asymmetries along the axis determined by the collision. With other parameters
held fixed the effects weaken as the amount of inflation which took place
inside our bubble grows, but generically survive order 10 efolds past what is
required to solve the horizon and flatness problems. In some regions of
parameter space the effects can survive arbitrarily long inflation.
| [
{
"created": "Wed, 29 Oct 2008 19:24:03 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 2009 23:56:49 GMT",
"version": "v2"
}
] | 2010-04-28 | [
[
"Chang",
"Spencer",
""
],
[
"Kleban",
"Matthew",
""
],
[
"Levi",
"Thomas S.",
""
]
] | We extend our previous work on the cosmology of Coleman-de Luccia bubble collisions. Within a set of approximations we calculate the effects on the cosmic microwave background (CMB) as seen from inside a bubble which has undergone such a collision. We find that the effects are always qualitatively similar--an anisotropy that depends only on the angle to the collision direction--but can produce a cold or hot spot of varying size, as well as power asymmetries along the axis determined by the collision. With other parameters held fixed the effects weaken as the amount of inflation which took place inside our bubble grows, but generically survive order 10 efolds past what is required to solve the horizon and flatness problems. In some regions of parameter space the effects can survive arbitrarily long inflation. |
hep-th/9501095 | null | J. C. Brunelli and Ashok Das | Properties of an Alternate Lax Description of the KdV Hierarchy | 11 pages, plain TeX | Mod.Phys.Lett. A10 (1995) 931-940 | 10.1142/S0217732395001022 | UR-1404, ER-40425-851 | hep-th | null | We study systematically the Lax description of the KdV hierarchy in terms of
an operator which is the geometrical recursion operator. We formulate the Lax
equation for the $n$-th flow, construct the Hamiltonians which lead to
commuting flows. In this formulation, the recursion relation between the
conserved quantities follows naturally. We give a simple and compact definition
of all the Hamiltonian structures of the theory which are related through a
power law.
| [
{
"created": "Fri, 20 Jan 1995 16:03:57 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Brunelli",
"J. C.",
""
],
[
"Das",
"Ashok",
""
]
] | We study systematically the Lax description of the KdV hierarchy in terms of an operator which is the geometrical recursion operator. We formulate the Lax equation for the $n$-th flow, construct the Hamiltonians which lead to commuting flows. In this formulation, the recursion relation between the conserved quantities follows naturally. We give a simple and compact definition of all the Hamiltonian structures of the theory which are related through a power law. |
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