id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0001027 | Hikaru Kawai | Satoshi Iso, Hikaru Kawai and Yoshihisa Kitazawa | Bi-local Fields in Noncommutative Field Theory | 27 pages, 2 figures | Nucl.Phys. B576 (2000) 375-398 | 10.1016/S0550-3213(00)00092-4 | null | hep-th | null | We propose a bi-local representation in noncommutative field theory. It
provides a simple description for high momentum degrees of freedom. It also
shows that the low momentum modes can be well approximated by ordinary local
fields. Long range interactions are generated in the effective action for the
lower momentum modes after integrating out the high momentum bi-local fields.
The low momentum modes can be represented by diagonal blocks in the matrix
model picture and the high momentum bi-local fields correspond to off-diagonal
blocks. This block-block interaction picture simply reproduces the infrared
singular behaviors of nonplanar diagrams in noncommutative field theory.
| [
{
"created": "Fri, 7 Jan 2000 10:15:42 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Iso",
"Satoshi",
""
],
[
"Kawai",
"Hikaru",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] | We propose a bi-local representation in noncommutative field theory. It provides a simple description for high momentum degrees of freedom. It also shows that the low momentum modes can be well approximated by ordinary local fields. Long range interactions are generated in the effective action for the lower momentum modes after integrating out the high momentum bi-local fields. The low momentum modes can be represented by diagonal blocks in the matrix model picture and the high momentum bi-local fields correspond to off-diagonal blocks. This block-block interaction picture simply reproduces the infrared singular behaviors of nonplanar diagrams in noncommutative field theory. |
2011.04099 | Erich Cavalcanti MSc | Erich Cavalcanti | On the permanence of renormalons in compactified spaces | 17 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the existence and behavior of renormalon singularities with
respect to $d$ spatial compactifications and quasiperiodic boundary conditions.
Employing a toy model (scalar field theory with quartic interaction) we find
that the size of the compactification and the number of compactified dimensions
do not influence the number and the location of the renormalon poles. The only
influence occurs in the residues. We enforce the need to carefully check the
asymptotic approximations every time there is some result about the appearance
of new renormalon poles or their cancellation.
| [
{
"created": "Sun, 8 Nov 2020 23:13:06 GMT",
"version": "v1"
}
] | 2020-11-10 | [
[
"Cavalcanti",
"Erich",
""
]
] | We investigate the existence and behavior of renormalon singularities with respect to $d$ spatial compactifications and quasiperiodic boundary conditions. Employing a toy model (scalar field theory with quartic interaction) we find that the size of the compactification and the number of compactified dimensions do not influence the number and the location of the renormalon poles. The only influence occurs in the residues. We enforce the need to carefully check the asymptotic approximations every time there is some result about the appearance of new renormalon poles or their cancellation. |
2003.13117 | Herman Verlinde | Herman Verlinde | ER = EPR revisited: On the Entropy of an Einstein-Rosen Bridge | 10 + 2 pages, 5 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new link between entropy and area: an eternal black hole with an
ER bridge with cross-section $A$ can carry a macroscopic amount of quantum
information, or be in a mixed state, with entropy bounded by $S \leq A/4G_N$.
We substantiate our proposal in the context of AdS3 and JT gravity, by using
the Island prescription and replica wormhole method for computing the black
hole entropy. We argue that the typical mixed state of a two sided black hole
takes the form of an entangled `thermo-mixed double' state with only classical
correlations between the two sides. Our result for the von Neumann entropy of a
post-Page time two-sided black hole is smaller by a factor of two from previous
answers. Our reasoning implies that black hole quantum information is
topologically protected, similar to the information stored inside a topological
quantum memory.
| [
{
"created": "Sun, 29 Mar 2020 19:19:50 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 00:26:19 GMT",
"version": "v2"
}
] | 2020-04-02 | [
[
"Verlinde",
"Herman",
""
]
] | We propose a new link between entropy and area: an eternal black hole with an ER bridge with cross-section $A$ can carry a macroscopic amount of quantum information, or be in a mixed state, with entropy bounded by $S \leq A/4G_N$. We substantiate our proposal in the context of AdS3 and JT gravity, by using the Island prescription and replica wormhole method for computing the black hole entropy. We argue that the typical mixed state of a two sided black hole takes the form of an entangled `thermo-mixed double' state with only classical correlations between the two sides. Our result for the von Neumann entropy of a post-Page time two-sided black hole is smaller by a factor of two from previous answers. Our reasoning implies that black hole quantum information is topologically protected, similar to the information stored inside a topological quantum memory. |
hep-th/9303003 | Dieter L\"ust | Dieter Luest | Consistency and Phenomenology of Four-Dimensional Strings | 13 pages, CERN-TH.6819/93 | null | null | null | hep-th hep-ph | null | Talk given at the 26th Workshop: ``From Superstrings to Supergravity" Erice -
Sicily, 5-12 December 1992: In this talk we discuss string consistency
requirements on four dimensional string models, namely the cancellation of
target space duality anomalies. The analysis is explicitly performed for
(hypothetical) orbifold models assuming the massless spectrum of the
supersymmetric standard model. In addition, some phenomenological properties of
four-dimensional strings, like the unification of the standard model gauge
coupling constants and soft supersymmetry breaking parameters, are
investigated.
| [
{
"created": "Mon, 1 Mar 1993 16:23:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Luest",
"Dieter",
""
]
] | Talk given at the 26th Workshop: ``From Superstrings to Supergravity" Erice - Sicily, 5-12 December 1992: In this talk we discuss string consistency requirements on four dimensional string models, namely the cancellation of target space duality anomalies. The analysis is explicitly performed for (hypothetical) orbifold models assuming the massless spectrum of the supersymmetric standard model. In addition, some phenomenological properties of four-dimensional strings, like the unification of the standard model gauge coupling constants and soft supersymmetry breaking parameters, are investigated. |
0912.5465 | Hans-Peter Pavel | Hans-Peter Pavel | Expansion of the Yang-Mills Hamiltonian in spatial derivatives and
glueball spectrum | 14 pages, misprint in section "References" corrected, final version
published in Phys. Lett. B | Phys.Lett.B685:353-364,2010 | 10.1016/j.physletb.2010.02.004 | null | hep-th hep-lat math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A strong coupling expansion of the SU(2) Yang-Mills quantum Hamiltonian is
carried out in the form of an expansion in the number of spatial derivatives,
using the symmetric gauge \epsilon_{ijk} A_{jk}=0. Introducing an infinite
lattice with box length a, I obtain a systematic strong coupling expansion of
the Hamiltonian in \lambda\equiv g^{-2/3}, with the free part being the sum of
Hamiltonians of Yang-Mills quantum mechanics of constant fields for each box,
and interaction terms of higher and higher number of spatial derivatives
connecting different boxes. The corresponding deviation from the free glueball
spectrum, obtained earlier for the case of the Yang-Mills quantum mechanics of
spatially constant fields, is calculated using perturbation theory in \lambda.
As a first step, the interacting glueball vacuum and the energy spectrum of the
interacting spin-0 glueball are obtained to order \lambda^2. Its relation to
the renormalisation of the coupling constant in the IR is discussed, indicating
the absence of infrared fixed points.
| [
{
"created": "Wed, 30 Dec 2009 15:17:08 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2010 09:22:14 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Feb 2010 09:16:12 GMT",
"version": "v3"
},
{
"created": "Tue, 2 Mar 2010 11:45:07 GMT",
"version": "v4"
}
] | 2010-03-02 | [
[
"Pavel",
"Hans-Peter",
""
]
] | A strong coupling expansion of the SU(2) Yang-Mills quantum Hamiltonian is carried out in the form of an expansion in the number of spatial derivatives, using the symmetric gauge \epsilon_{ijk} A_{jk}=0. Introducing an infinite lattice with box length a, I obtain a systematic strong coupling expansion of the Hamiltonian in \lambda\equiv g^{-2/3}, with the free part being the sum of Hamiltonians of Yang-Mills quantum mechanics of constant fields for each box, and interaction terms of higher and higher number of spatial derivatives connecting different boxes. The corresponding deviation from the free glueball spectrum, obtained earlier for the case of the Yang-Mills quantum mechanics of spatially constant fields, is calculated using perturbation theory in \lambda. As a first step, the interacting glueball vacuum and the energy spectrum of the interacting spin-0 glueball are obtained to order \lambda^2. Its relation to the renormalisation of the coupling constant in the IR is discussed, indicating the absence of infrared fixed points. |
hep-th/9506144 | Anna Ceresole | A.C. Cadavid, A. Ceresole, R. D'Auria and S. Ferrara | 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds | TeX, harvmac, 8 pgs | Phys.Lett. B357 (1995) 76-80 | 10.1016/0370-2693(95)00891-N | CERN-TH/95-166, POLFIS-TH. 08/95, UCLA/95/TEP/23 | hep-th | null | We consider generic features of eleven dimensional supergravity compactified
down to five dimensions on an arbitrary Calabi-Yau threefold.
| [
{
"created": "Wed, 21 Jun 1995 22:04:18 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Cadavid",
"A. C.",
""
],
[
"Ceresole",
"A.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
]
] | We consider generic features of eleven dimensional supergravity compactified down to five dimensions on an arbitrary Calabi-Yau threefold. |
hep-th/0312221 | Keshav Dasgupta | Melanie Becker, Keshav Dasgupta | Kahler versus Non-Kahler Compactifications | 14 pages, Harvmac, Some part based on talks given at the QTS3
conference, University of Cincinnati and SUSY '03 at the University of
Arizona; v2: Typos corrected, reference added; v3: references updated and a
few typos corrected. Final version to appear in the QTS3 proceedings | null | 10.1142/9789812702340_0054 | UMD-PP-04-15, SU-ITP-03/34 | hep-th | null | We review our present understanding of heterotic compactifications on
non-Kahler complex manifolds with torsion. Most of these manifolds can be
obtained by duality chasing a consistent F-theory compactification in the
presence of fluxes. We show that the duality map generically leads to
non-Kahler spaces on the heterotic side, although under some special conditions
we recover Kahler compactifications. The dynamics of the heterotic theory is
governed by a new superpotential and minimizing this superpotential reproduces
all the torsional constraints. This superpotential also fixes most of the
moduli, including the radial modulus. We discuss some new connections between
Kahler and non-Kahler compactifications, including some phenomenological
aspects of the latter compactifications.
| [
{
"created": "Thu, 18 Dec 2003 20:13:23 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Dec 2003 02:32:37 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jan 2004 23:29:01 GMT",
"version": "v3"
}
] | 2017-08-23 | [
[
"Becker",
"Melanie",
""
],
[
"Dasgupta",
"Keshav",
""
]
] | We review our present understanding of heterotic compactifications on non-Kahler complex manifolds with torsion. Most of these manifolds can be obtained by duality chasing a consistent F-theory compactification in the presence of fluxes. We show that the duality map generically leads to non-Kahler spaces on the heterotic side, although under some special conditions we recover Kahler compactifications. The dynamics of the heterotic theory is governed by a new superpotential and minimizing this superpotential reproduces all the torsional constraints. This superpotential also fixes most of the moduli, including the radial modulus. We discuss some new connections between Kahler and non-Kahler compactifications, including some phenomenological aspects of the latter compactifications. |
hep-th/9404111 | Mazq | Dian-Min Tong, Shan-De Yang (Jilin University, China) and Zhong-Qi Ma
(Institute of High Energy Physics, Beijing) | $N$-Dimensional Representations of the Braid Groups $B_{N}$ | null | null | null | BIHEP-TH-94-12 | hep-th math.QA | null | In this note, a new class of representations of the braid groups $B_{N}$ is
constructed. It is proved that those representations contain three kinds of
irreducible representations: the trivial (identity) one, the Burau one, and an
$N$-dimensional one. The explicit form of the $N$-dimensional irreducible
representation of the braid group $B_{N}$ is given here.
| [
{
"created": "Tue, 19 Apr 1994 21:48:45 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Tong",
"Dian-Min",
"",
"Jilin University, China"
],
[
"Yang",
"Shan-De",
"",
"Jilin University, China"
],
[
"Ma",
"Zhong-Qi",
"",
"Institute of High Energy Physics, Beijing"
]
] | In this note, a new class of representations of the braid groups $B_{N}$ is constructed. It is proved that those representations contain three kinds of irreducible representations: the trivial (identity) one, the Burau one, and an $N$-dimensional one. The explicit form of the $N$-dimensional irreducible representation of the braid group $B_{N}$ is given here. |
hep-th/9502119 | Mirjam Cvetic | Mirjam Cvetic and Donam Youm | KALUZA-KLEIN BLACK HOLES WITHIN HETEROTIC STRING THEORY ON A TORUS | 5 pages, uses RevTeX | Phys.Rev.D52:2574-2576,1995 | 10.1103/PhysRevD.52.2574 | UPR-646-T | hep-th | null | We point out that in heterotic string theory compactified on a 6-torus, after
a consistent truncation of the 10-d gauge fields and the antisymmetric tensor
fields, 4-dimensional black holes of Kaluza-Klein theory on a 6-torus
constitute a subset of solutions.
| [
{
"created": "Mon, 20 Feb 1995 02:24:06 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Youm",
"Donam",
""
]
] | We point out that in heterotic string theory compactified on a 6-torus, after a consistent truncation of the 10-d gauge fields and the antisymmetric tensor fields, 4-dimensional black holes of Kaluza-Klein theory on a 6-torus constitute a subset of solutions. |
2105.03253 | Thomas Van Riet | U. H. Danielsson, D. Panizo, R. Tielemans, T. Van Riet | A higher-dimensional view on quantum cosmology | 10 pages, including refs: v2 published version with updated refs and
small edits throughout | Phys. Rev. D 104, 086015 (2021) | 10.1103/PhysRevD.104.086015 | UUITP - 22/21 | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We argue that the choice of boundary condition for the wave function in
quantum cosmology depends on the UV completion of general relativity. We
provide an explicit example using a braneworld scenario in which a de Sitter
cosmology is induced on the surface of a Coleman-de Luccia bubble in a
5-dimensional AdS space. The corresponding boundary conditions are unambigously
fixed by demanding consistency with the known physics of bubble nucleation and
this selects the Vilenkin weighting for the amplitude from a 4D viewpoint.
| [
{
"created": "Fri, 7 May 2021 13:29:57 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Nov 2021 20:33:12 GMT",
"version": "v2"
}
] | 2021-11-23 | [
[
"Danielsson",
"U. H.",
""
],
[
"Panizo",
"D.",
""
],
[
"Tielemans",
"R.",
""
],
[
"Van Riet",
"T.",
""
]
] | We argue that the choice of boundary condition for the wave function in quantum cosmology depends on the UV completion of general relativity. We provide an explicit example using a braneworld scenario in which a de Sitter cosmology is induced on the surface of a Coleman-de Luccia bubble in a 5-dimensional AdS space. The corresponding boundary conditions are unambigously fixed by demanding consistency with the known physics of bubble nucleation and this selects the Vilenkin weighting for the amplitude from a 4D viewpoint. |
hep-th/0507184 | Giovanni Ricco | Giovanni Ricco (U. Roma "Tor Vergata" and INFN) | Superstrings beyond one loop | Laurea Thesis (in Italian). Latex, 233 pages, 17 figures | null | null | ROM2F-05/14 | hep-th | null | This Laurea Thesis contains six introductory chapters (I-VI) on various
aspects of String Theory, mostly related to String compactifications,
orientifold constructions and SUSY breaking. On the other hand, the last
chapter contains some new results on amplitudes on surfaces with Euler
character -1 or -2. These are based on the construction of D'Hoker and Phong,
and contain some extensions of their results to type-0 theories.
| [
{
"created": "Tue, 19 Jul 2005 12:47:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ricco",
"Giovanni",
"",
"U. Roma \"Tor Vergata\" and INFN"
]
] | This Laurea Thesis contains six introductory chapters (I-VI) on various aspects of String Theory, mostly related to String compactifications, orientifold constructions and SUSY breaking. On the other hand, the last chapter contains some new results on amplitudes on surfaces with Euler character -1 or -2. These are based on the construction of D'Hoker and Phong, and contain some extensions of their results to type-0 theories. |
1912.13069 | Clay C\'ordova | Clay Cordova, Kantaro Ohmori | Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry | 4 pages, 1 figure | Phys. Rev. D 102, 025011 (2020) | 10.1103/PhysRevD.102.025011 | null | hep-th cond-mat.str-el math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that in $(3+1)d$ quantum field theories with $\mathbb{Z}_N$
symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a
gapped spectrum. In particular, this applies to discrete chiral symmetries
which are frequently present in gauge theories as we illustrate in examples.
Our results also constrain the long-distance behavior of certain condensed
matter systems such as Weyl-semimetals and may have applications to
crystallographic phases with symmetry protected topological order. These
results may be viewed as analogs of the Lieb-Schultz-Mattis theorem for
continuum field theories.
| [
{
"created": "Mon, 30 Dec 2019 19:46:39 GMT",
"version": "v1"
}
] | 2020-07-22 | [
[
"Cordova",
"Clay",
""
],
[
"Ohmori",
"Kantaro",
""
]
] | We prove that in $(3+1)d$ quantum field theories with $\mathbb{Z}_N$ symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a gapped spectrum. In particular, this applies to discrete chiral symmetries which are frequently present in gauge theories as we illustrate in examples. Our results also constrain the long-distance behavior of certain condensed matter systems such as Weyl-semimetals and may have applications to crystallographic phases with symmetry protected topological order. These results may be viewed as analogs of the Lieb-Schultz-Mattis theorem for continuum field theories. |
1707.06165 | Andreas Stergiou | Hugh Osborn, Andreas Stergiou | Seeking Fixed Points in Multiple Coupling Scalar Theories in the
$\varepsilon$ Expansion | v1: 55 pages. v2: 58 pages; new fixed points in 4-{\epsilon}
dimensions, further discussion of large-N behaviour in 3-{\epsilon}
dimensions, additional references; v3: Typos fixed; v4: Added references.
Version to appear in JHEP; v5: Minor emendations, references added. v6: 60
pages; typos fixed, some new results and references added. v7: 61 pages; some
additions in section 5 and appendix B | null | 10.1007/JHEP05(2018)051 | DAMTP-2017-30, CERN-TH-2017-149 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fixed points for scalar theories in $4-\varepsilon$, $6-\varepsilon$ and
$3-\varepsilon$ dimensions are discussed. It is shown how a large range of
known fixed points for the four dimensional case can be obtained by using a
general framework with two couplings. The original maximal symmetry, $O(N)$, is
broken to various subgroups, both discrete and continuous. A similar discussion
is applied to the six dimensional case. Perturbative applications of the
$a$-theorem are used to help classify potential fixed points. At lowest order
in the $\varepsilon$-expansion it is shown that at fixed points there is a
lower bound for $a$ which is saturated at bifurcation points.
| [
{
"created": "Wed, 19 Jul 2017 15:42:58 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2017 11:54:35 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Mar 2018 14:56:11 GMT",
"version": "v3"
},
{
"created": "Thu, 24 May 2018 15:53:24 GMT",
"version": "v4"
},
{
"created": "Mon, 29 Oct 2018 21:44:00 GMT",
"version": "v5"
},
{
"created": "Mon, 18 Mar 2019 21:33:03 GMT",
"version": "v6"
},
{
"created": "Wed, 10 Apr 2019 16:05:15 GMT",
"version": "v7"
}
] | 2019-04-11 | [
[
"Osborn",
"Hugh",
""
],
[
"Stergiou",
"Andreas",
""
]
] | Fixed points for scalar theories in $4-\varepsilon$, $6-\varepsilon$ and $3-\varepsilon$ dimensions are discussed. It is shown how a large range of known fixed points for the four dimensional case can be obtained by using a general framework with two couplings. The original maximal symmetry, $O(N)$, is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six dimensional case. Perturbative applications of the $a$-theorem are used to help classify potential fixed points. At lowest order in the $\varepsilon$-expansion it is shown that at fixed points there is a lower bound for $a$ which is saturated at bifurcation points. |
hep-th/0305196 | Andrei Mikhailov | Andrei Mikhailov | Nonlinear waves in AdS/CFT correspondence | 15 pages, Latex, 9 Postscript figures | null | null | NSF-KITP-03-38 | hep-th math.DG | null | We calculate in the strong coupling and large N limit the energy emitted by
an accelerated external charge in ${\cal N}=4$ SU(N) Yang-Mills theory, using
the AdS/CFT correspondence. We find that the energy is a local functional of
the trajectory of the charge. It coincides up to an overall factor with the
Lienard formula of the classical electrodynamics. In the AdS description the
radiated energy is carried by a nonlinear wave on the string worldsheet for
which we find an exact solution.
| [
{
"created": "Thu, 22 May 2003 02:17:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mikhailov",
"Andrei",
""
]
] | We calculate in the strong coupling and large N limit the energy emitted by an accelerated external charge in ${\cal N}=4$ SU(N) Yang-Mills theory, using the AdS/CFT correspondence. We find that the energy is a local functional of the trajectory of the charge. It coincides up to an overall factor with the Lienard formula of the classical electrodynamics. In the AdS description the radiated energy is carried by a nonlinear wave on the string worldsheet for which we find an exact solution. |
1905.12538 | Carlos Alberto Stechhahn | C. A. Stechhahn | Aharonov-Bohm scattering for relativistic particles in (3 +
1)-dimensional noncommutative space with spin dependence | 9 pages and 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the effects of noncommutativity of spacetime with mixed spatial and
spin degrees of freedom in a relativistic context. Using the Dirac equation in
(3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude
for a small magnetic field flux. The parameter {\theta} that characterizes the
noncommutativity here is not constant, and the model preserves Lorentz
symmetry. A comparison is made with scattering in the context of canonical
noncommutativity.
| [
{
"created": "Wed, 29 May 2019 15:39:42 GMT",
"version": "v1"
}
] | 2019-05-30 | [
[
"Stechhahn",
"C. A.",
""
]
] | We study the effects of noncommutativity of spacetime with mixed spatial and spin degrees of freedom in a relativistic context. Using the Dirac equation in (3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude for a small magnetic field flux. The parameter {\theta} that characterizes the noncommutativity here is not constant, and the model preserves Lorentz symmetry. A comparison is made with scattering in the context of canonical noncommutativity. |
1909.09334 | Newton Cheng | Newton Cheng | Optimized Correlation Measures in Holography | 11 pages, expanded discussion on assumptions and connections to other
work, mostly matches version to be published | Phys. Rev. D 101, 066009 (2020) | 10.1103/PhysRevD.101.066009 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a class of correlation measures for quantum states called
optimized correlation measures, defined as a minimization of a linear
combination of von Neumann entropies over purifications of a given state.
Examples include the entanglement of purification $E_P$ and squashed
entanglement $E_{\text{sq}}$. We show that when evaluating such measures on
``nice" holographic states in the large-$N$ limit, the optimal purification has
a semi-classical geometric dual. We then apply this result to confirm several
holographic dual proposals, including the $n$-party squashed entanglement.
Moreover, our result suggests two new techniques for determining holographic
duals: holographic entropy inequalities and direct optimization of the dual
geometry.
| [
{
"created": "Fri, 20 Sep 2019 05:59:33 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2019 21:48:30 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Feb 2020 21:35:03 GMT",
"version": "v3"
}
] | 2020-03-13 | [
[
"Cheng",
"Newton",
""
]
] | We consider a class of correlation measures for quantum states called optimized correlation measures, defined as a minimization of a linear combination of von Neumann entropies over purifications of a given state. Examples include the entanglement of purification $E_P$ and squashed entanglement $E_{\text{sq}}$. We show that when evaluating such measures on ``nice" holographic states in the large-$N$ limit, the optimal purification has a semi-classical geometric dual. We then apply this result to confirm several holographic dual proposals, including the $n$-party squashed entanglement. Moreover, our result suggests two new techniques for determining holographic duals: holographic entropy inequalities and direct optimization of the dual geometry. |
1512.09145 | Zhong-Ying Fan | Zhong-Ying Fan and Bin Chen | Exact formation of hairy planar black holes | 17 pages and 5 figures; the general case was studied analytically;
conclusions unchanged | Phys. Rev. D 93, 084013 (2016) | 10.1103/PhysRevD.93.084013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Einstein gravity minimally coupled to a scalar field with a given
potential in general dimensions. We obtain large classes of static hairy planar
black holes which are asymptotic to AdS space-times. In particular, for a
special case $\mu=(n-2)/2$, we obtain new classes of exact dynamical solutions
describing black holes formation. We find there are two classes of collapse
solutions. The first class solutions describe the evolution start from AdS
space-time with a naked singularity at the origin. The space-time is linearly
unstable and evolves into stationary black hole states even under small
perturbation. The second class solutions describe the space-time spontaneously
evolves from AdS vacua into stationary black hole states undergoing non-linear
instability. We also discuss the global properties of all these dynamical
solutions.
| [
{
"created": "Wed, 30 Dec 2015 21:00:08 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jan 2016 10:39:06 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Apr 2016 01:45:45 GMT",
"version": "v3"
}
] | 2016-04-29 | [
[
"Fan",
"Zhong-Ying",
""
],
[
"Chen",
"Bin",
""
]
] | We consider Einstein gravity minimally coupled to a scalar field with a given potential in general dimensions. We obtain large classes of static hairy planar black holes which are asymptotic to AdS space-times. In particular, for a special case $\mu=(n-2)/2$, we obtain new classes of exact dynamical solutions describing black holes formation. We find there are two classes of collapse solutions. The first class solutions describe the evolution start from AdS space-time with a naked singularity at the origin. The space-time is linearly unstable and evolves into stationary black hole states even under small perturbation. The second class solutions describe the space-time spontaneously evolves from AdS vacua into stationary black hole states undergoing non-linear instability. We also discuss the global properties of all these dynamical solutions. |
2109.06193 | Carlos Nunez | Mohammad Akhond, Andrea Legramandi and Carlos Nunez | Electrostatic description of 3d $\mathcal{N}=4$ linear quivers | 25 pages plus appendices | null | 10.1007/JHEP11(2021)205 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the holographic dual for the strongly coupled, low energy dynamics
of balanced ${\cal N}=4$ field theories in $(2+1)$ dimensions. The infinite
family of Type IIB backgrounds with AdS$_4\times S^2\times S^2$ factors is
described in terms of a Laplace problem with suitable boundary conditions. The
system describes an array of D3, NS5 and D5 branes. We study various aspects of
these Hanany--Witten set-ups (number of branes, linking numbers, dimension of
the Higgs and Coulomb branches) and encode them in holographic calculations. A
generic expression for the Free Energy/Holographic Central Charge is derived.
These quantities are then calculated explicitly in various general examples. We
also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The
connection with previous results in the bibliography is made.
| [
{
"created": "Mon, 13 Sep 2021 18:00:01 GMT",
"version": "v1"
}
] | 2021-12-08 | [
[
"Akhond",
"Mohammad",
""
],
[
"Legramandi",
"Andrea",
""
],
[
"Nunez",
"Carlos",
""
]
] | We present the holographic dual for the strongly coupled, low energy dynamics of balanced ${\cal N}=4$ field theories in $(2+1)$ dimensions. The infinite family of Type IIB backgrounds with AdS$_4\times S^2\times S^2$ factors is described in terms of a Laplace problem with suitable boundary conditions. The system describes an array of D3, NS5 and D5 branes. We study various aspects of these Hanany--Witten set-ups (number of branes, linking numbers, dimension of the Higgs and Coulomb branches) and encode them in holographic calculations. A generic expression for the Free Energy/Holographic Central Charge is derived. These quantities are then calculated explicitly in various general examples. We also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The connection with previous results in the bibliography is made. |
1102.1940 | Peter Horvathy | Peng-Ming Zhang, Peter A. Horvathy, and John Rawnsley | Topology, and (in)stability of non-Abelian monopoles | 58 pages, 20 figures. Based on a Review Lecture delivered by PAH at
the meeting "Nonlinear phenomena: a view from mathematics and physics",
organized by the National Taiwan University and the Taida Institute for
Mathematical Sciences. Taipei, Jan. 2011. Revised version: some details
clarified and minor errors corrected | null | 10.1016/j.aop.2011.09.003 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stability problem of non-Abelian monopoles with respect to
"Brandt-Neri-Coleman type" variations reduces to that of a pure gauge theory on
the two-sphere. Each topological sector admits exactly one stable monopole
charge, and each unstable monopole admits $2\sum (2|q|-1)$ negative modes,
where the sum goes over the negative eigenvalues $q$ of an operator related to
the non-Abelian charge $Q$ of Goddard, Nuyts and Olive. An explicit
construction for the [up-to-conjugation] unique stable charge, as well as the
negative modes of the Hessian at any other charge is given. The relation to
loops in the residual group is explained. From the global point of view, the
instability is associated with energy-reducing two-spheres, which, consistently
with the Morse theory, generate the homology of the configurations space, and
whose tangent vectors at a critical point are negative modes. Our spheres might
indicate possible decay routes of an unstable monopole as a cascade into lower
lying critical points.
| [
{
"created": "Wed, 9 Feb 2011 18:53:17 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2011 00:55:31 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Zhang",
"Peng-Ming",
""
],
[
"Horvathy",
"Peter A.",
""
],
[
"Rawnsley",
"John",
""
]
] | The stability problem of non-Abelian monopoles with respect to "Brandt-Neri-Coleman type" variations reduces to that of a pure gauge theory on the two-sphere. Each topological sector admits exactly one stable monopole charge, and each unstable monopole admits $2\sum (2|q|-1)$ negative modes, where the sum goes over the negative eigenvalues $q$ of an operator related to the non-Abelian charge $Q$ of Goddard, Nuyts and Olive. An explicit construction for the [up-to-conjugation] unique stable charge, as well as the negative modes of the Hessian at any other charge is given. The relation to loops in the residual group is explained. From the global point of view, the instability is associated with energy-reducing two-spheres, which, consistently with the Morse theory, generate the homology of the configurations space, and whose tangent vectors at a critical point are negative modes. Our spheres might indicate possible decay routes of an unstable monopole as a cascade into lower lying critical points. |
1410.6163 | Ippocratis Saltas Dr | Ippocratis D. Saltas | On the UV structure of quantum unimodular gravity | 11 pages plus Appendix; Some clarifying comments added, results
unchanged; Version to appear in Physical Review D | Phys. Rev. D 90, 124052 (2014) | 10.1103/PhysRevD.90.124052 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is a well known result that any formulation of unimodular gravity is
classically equivalent to General Relativity (GR), however a debate exists in
the literature about this equivalence at the quantum level. In this work, we
investigate the UV quantum structure of a diffeomorphism invariant formulation
of unimodular gravity using functional renormalisation group methods in a
Wilsonian context. We show that the effective action of the unimodular theory
acquires essentially the same form with that of GR in the UV, as well as that
both theories share similar UV completions within the framework of the
asymptotic safety scenario for quantum gravity. Furthermore, we find that in
this context the unimodular theory can appear to be non--predictive due to an
increasing number of relevant couplings at high energies, and explain how this
unwanted feature is in the end avoided.
| [
{
"created": "Wed, 22 Oct 2014 20:00:15 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Dec 2014 20:59:19 GMT",
"version": "v2"
}
] | 2014-12-24 | [
[
"Saltas",
"Ippocratis D.",
""
]
] | It is a well known result that any formulation of unimodular gravity is classically equivalent to General Relativity (GR), however a debate exists in the literature about this equivalence at the quantum level. In this work, we investigate the UV quantum structure of a diffeomorphism invariant formulation of unimodular gravity using functional renormalisation group methods in a Wilsonian context. We show that the effective action of the unimodular theory acquires essentially the same form with that of GR in the UV, as well as that both theories share similar UV completions within the framework of the asymptotic safety scenario for quantum gravity. Furthermore, we find that in this context the unimodular theory can appear to be non--predictive due to an increasing number of relevant couplings at high energies, and explain how this unwanted feature is in the end avoided. |
1907.10810 | Andrew Fitzpatrick | A. Liam Fitzpatrick, Kuo-Wei Huang, Daliang Li | Probing Universalities in d>2 CFTs: from Black Holes to Shockwaves | 28+6 pages, 2 figures; v2: typos corrected, refs added | null | 10.1007/JHEP11(2019)139 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational shockwaves are insensitive to higher-curvature corrections in
the action. Recent work found that the OPE coefficients of lowest-twist
multi-stress-tensor operators, computed holographically in a planar black hole
background, are insensitive as well. In this paper, we analyze the relation
between these two limits. We explicitly evaluate the two-point function on a
shockwave background to all orders in a large central charge expansion. In the
geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor
sector. To compare with the black hole limit, we obtain a recursion relation
for the lowest-twist products of two stress tensors in a spherical black hole
background, letting us efficiently compute their OPE coefficients and prove
their insensitivity to higher curvature terms. After resumming the lowest-twist
stress-tensors and analytically continuing their contributions to the Regge
limit, we find a perfect agreement with the shockwave computation. We also
discuss the role of double-trace operators, global degenerate states, and
multi-stress-tensor conformal blocks. These holographic results suggest the
existence of a larger universal structure in higher-dimensional CFTs.
| [
{
"created": "Thu, 25 Jul 2019 03:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Sep 2019 20:48:51 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Huang",
"Kuo-Wei",
""
],
[
"Li",
"Daliang",
""
]
] | Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background, are insensitive as well. In this paper, we analyze the relation between these two limits. We explicitly evaluate the two-point function on a shockwave background to all orders in a large central charge expansion. In the geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor sector. To compare with the black hole limit, we obtain a recursion relation for the lowest-twist products of two stress tensors in a spherical black hole background, letting us efficiently compute their OPE coefficients and prove their insensitivity to higher curvature terms. After resumming the lowest-twist stress-tensors and analytically continuing their contributions to the Regge limit, we find a perfect agreement with the shockwave computation. We also discuss the role of double-trace operators, global degenerate states, and multi-stress-tensor conformal blocks. These holographic results suggest the existence of a larger universal structure in higher-dimensional CFTs. |
1001.1234 | Roberto Auzzi | Roberto Auzzi, Shmuel Elitzur and Amit Giveon | On Uplifted SUSY-Breaking Vacua and Direct Mediation in Generalized SQCD | 26 pages, harvmac; V2: refs. added; V3: refs. added. | null | 10.1007/JHEP03(2010)094 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We search for viable models of direct gauge mediation, where the
SUSY-breaking sector is (generalized) SQCD, which has cosmologically favorable
uplifted vacua even when the reheating temperature is well above the messenger
scale. This requires a relatively large tadpole term in the scalar potential
for the spurion field X and, consequently, we argue that pure (deformed) SQCD
is not a viable model. On the other hand, in SQCD with an adjoint, which is
natural e.g. in string theory, assuming an appropriate sign in the Kahler
potential for X, such metastable vacua are possible.
| [
{
"created": "Fri, 8 Jan 2010 10:32:24 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 2010 15:57:31 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Mar 2010 09:37:25 GMT",
"version": "v3"
}
] | 2015-05-14 | [
[
"Auzzi",
"Roberto",
""
],
[
"Elitzur",
"Shmuel",
""
],
[
"Giveon",
"Amit",
""
]
] | We search for viable models of direct gauge mediation, where the SUSY-breaking sector is (generalized) SQCD, which has cosmologically favorable uplifted vacua even when the reheating temperature is well above the messenger scale. This requires a relatively large tadpole term in the scalar potential for the spurion field X and, consequently, we argue that pure (deformed) SQCD is not a viable model. On the other hand, in SQCD with an adjoint, which is natural e.g. in string theory, assuming an appropriate sign in the Kahler potential for X, such metastable vacua are possible. |
hep-th/9905159 | Shigeki Sugimoto | Shigeki Sugimoto | Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32)
String Theory | 17 pages + 10 eps figures, LaTeX; minor corrections, reference added,
version to appear in Prog. Theor. Phys | Prog.Theor.Phys. 102 (1999) 685-699 | 10.1143/PTP.102.685 | YITP-99-25 | hep-th | null | We check some consistency conditions for the D9-anti-D9 system in type I
string theory. The gravitational anomaly and gauge anomaly for SO(n) x SO(m)
gauge symmetry are shown to be cancelled when n-m=32. In addition, we find that
a string theory with USp(n) x USp(m) gauge symmetry also satisfies the anomaly
cancellation conditions. After tachyon condensation, the theory reduces to a
tachyon-free USp(32) string theory, though there is no spacetime supersymmetry.
| [
{
"created": "Fri, 21 May 1999 19:48:05 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Aug 1999 08:27:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Sugimoto",
"Shigeki",
""
]
] | We check some consistency conditions for the D9-anti-D9 system in type I string theory. The gravitational anomaly and gauge anomaly for SO(n) x SO(m) gauge symmetry are shown to be cancelled when n-m=32. In addition, we find that a string theory with USp(n) x USp(m) gauge symmetry also satisfies the anomaly cancellation conditions. After tachyon condensation, the theory reduces to a tachyon-free USp(32) string theory, though there is no spacetime supersymmetry. |
2303.04489 | Sota Nakajima | Sota Nakajima | New non-supersymmetric heterotic string theory with reduced rank and
exponential suppression of the cosmological constant | Added references | null | null | KEK-TH-2503 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the heterotic asymmetric orbifold model in which supersymmetry is
broken by the stringy Schark-Schwarz mechanism. This model is a natural
non-supersymmetric extension of CHL strings and can also be interpreted as the
interpolating model between the $E_{8}\times E'_{8}$ theory and the
non-supersymmetric $E_{8}$ theory. The enhancement of gauge groups, of which
the rank is reduced to $8+d$, is explored. In particular, the enhancement to
non-simply-laced groups is possible with $d\geq 2$, as well as in the CHL
model. We also give the conditions that the massless matter spectrum must
satisfy. Moreover, the one-loop cosmological constant is evaluated in the
regime where supersymmetry is asymptotically restored, and we show that the
exponential suppression can occur unless $d=1$.
| [
{
"created": "Wed, 8 Mar 2023 10:25:26 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2023 09:23:38 GMT",
"version": "v2"
}
] | 2023-05-03 | [
[
"Nakajima",
"Sota",
""
]
] | We study the heterotic asymmetric orbifold model in which supersymmetry is broken by the stringy Schark-Schwarz mechanism. This model is a natural non-supersymmetric extension of CHL strings and can also be interpreted as the interpolating model between the $E_{8}\times E'_{8}$ theory and the non-supersymmetric $E_{8}$ theory. The enhancement of gauge groups, of which the rank is reduced to $8+d$, is explored. In particular, the enhancement to non-simply-laced groups is possible with $d\geq 2$, as well as in the CHL model. We also give the conditions that the massless matter spectrum must satisfy. Moreover, the one-loop cosmological constant is evaluated in the regime where supersymmetry is asymptotically restored, and we show that the exponential suppression can occur unless $d=1$. |
1612.06399 | Noppadol Mekareeya | Noppadol Mekareeya, Tom Rudelius and Alessandro Tomasiello | T-branes, Anomalies and Moduli Spaces in 6D SCFTs | 49 pages, references added v2; v3 published in JHEP | null | 10.1007/JHEP10(2017)158 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The worldvolume theory of M5-branes on an ADE singularity
$\mathbb{R}^5/\Gamma_G$ can be Higgsed in various ways, corresponding to the
possible nilpotent orbits of $G$. In the F-theory dual picture, this
corresponds to activating T-brane data along two stacks of 7-branes and yields
a tensor branch realization for a large class of 6D SCFTs. In this paper, we
show that the moduli spaces and anomalies of these T-brane theories are related
in a simple, universal way to data of the nilpotent orbits. This often works in
surprising ways and gives a nontrivial confirmation of the conjectured
properties of T-branes in F-theory. We use this result to formally engineer a
class of theories where the IIA picture na\"ively breaks down. We also give a
proof of the $a$-theorem for all RG flows within this class of T-brane
theories.
| [
{
"created": "Mon, 19 Dec 2016 21:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2017 17:55:59 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Nov 2017 08:56:28 GMT",
"version": "v3"
}
] | 2017-11-27 | [
[
"Mekareeya",
"Noppadol",
""
],
[
"Rudelius",
"Tom",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | The worldvolume theory of M5-branes on an ADE singularity $\mathbb{R}^5/\Gamma_G$ can be Higgsed in various ways, corresponding to the possible nilpotent orbits of $G$. In the F-theory dual picture, this corresponds to activating T-brane data along two stacks of 7-branes and yields a tensor branch realization for a large class of 6D SCFTs. In this paper, we show that the moduli spaces and anomalies of these T-brane theories are related in a simple, universal way to data of the nilpotent orbits. This often works in surprising ways and gives a nontrivial confirmation of the conjectured properties of T-branes in F-theory. We use this result to formally engineer a class of theories where the IIA picture na\"ively breaks down. We also give a proof of the $a$-theorem for all RG flows within this class of T-brane theories. |
1802.00813 | Marco Fazzi | Andr\'es Collinucci, Marco Fazzi, and Roberto Valandro | Geometric engineering on flops of length two | 41 pages, 6 figures, 1 appendix; v2: typos fixed, version published
in JHEP | null | 10.1007/JHEP04(2018)090 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type IIA on the conifold is a prototype example for engineering QED with one
charged hypermultiplet. The geometry admits a flop of length one. In this
paper, we study the next generation of geometric engineering on singular
geometries, namely flops of length two such as Laufer's example, which we
affectionately think of as the $\it{conifold\ 2.0}$. Type IIA on the latter
geometry gives QED with higher-charge states. In type IIB, even a single
D3-probe gives rise to a nonabelian quiver gauge theory. We study this class of
geometries explicitly by leveraging their quiver description, showing how to
parametrize the exceptional curve, how to see the flop transition, and how to
find the noncompact divisors intersecting the curve. With a view towards
F-theory applications, we show how these divisors contribute to the enhancement
of the Mordell-Weil group of the local elliptic fibration defined by Laufer's
example.
| [
{
"created": "Fri, 2 Feb 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Apr 2018 14:47:36 GMT",
"version": "v2"
}
] | 2018-05-09 | [
[
"Collinucci",
"Andrés",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Valandro",
"Roberto",
""
]
] | Type IIA on the conifold is a prototype example for engineering QED with one charged hypermultiplet. The geometry admits a flop of length one. In this paper, we study the next generation of geometric engineering on singular geometries, namely flops of length two such as Laufer's example, which we affectionately think of as the $\it{conifold\ 2.0}$. Type IIA on the latter geometry gives QED with higher-charge states. In type IIB, even a single D3-probe gives rise to a nonabelian quiver gauge theory. We study this class of geometries explicitly by leveraging their quiver description, showing how to parametrize the exceptional curve, how to see the flop transition, and how to find the noncompact divisors intersecting the curve. With a view towards F-theory applications, we show how these divisors contribute to the enhancement of the Mordell-Weil group of the local elliptic fibration defined by Laufer's example. |
1808.08978 | Yunfeng Jiang | Ofer Aharony, Shouvik Datta, Amit Giveon, Yunfeng Jiang, David Kutasov | Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs | Minor corrections, comments added | null | 10.1007/JHEP01(2019)085 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study families of two dimensional quantum field theories, labeled by a
dimensionful parameter $\mu$, that contain a holomorphic conserved $U(1)$
current $J(z)$. We assume that these theories can be consistently defined on a
torus, so their partition sum, with a chemical potential for the charge that
couples to $J$, is modular covariant. We further require that in these
theories, the energy of a state at finite $\mu$ is a function only of $\mu$,
and of the energy, momentum and charge of the corresponding state at $\mu=0$,
where the theory becomes conformal. We show that under these conditions, the
torus partition sum of the theory at $\mu=0$ uniquely determines the partition
sum (and thus the spectrum) of the perturbed theory, to all orders in $\mu$, to
be that of a $\mu J\bar T$ deformed conformal field theory (CFT). We derive a
flow equation for the $J\bar{T}$ deformed partition sum, and use it to study
non-perturbative effects. We find non-perturbative ambiguities for any non-zero
value of $\mu$, and comment on their possible relations to holography.
| [
{
"created": "Mon, 27 Aug 2018 18:07:11 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2019 12:22:31 GMT",
"version": "v2"
}
] | 2019-03-12 | [
[
"Aharony",
"Ofer",
""
],
[
"Datta",
"Shouvik",
""
],
[
"Giveon",
"Amit",
""
],
[
"Jiang",
"Yunfeng",
""
],
[
"Kutasov",
"David",
""
]
] | We study families of two dimensional quantum field theories, labeled by a dimensionful parameter $\mu$, that contain a holomorphic conserved $U(1)$ current $J(z)$. We assume that these theories can be consistently defined on a torus, so their partition sum, with a chemical potential for the charge that couples to $J$, is modular covariant. We further require that in these theories, the energy of a state at finite $\mu$ is a function only of $\mu$, and of the energy, momentum and charge of the corresponding state at $\mu=0$, where the theory becomes conformal. We show that under these conditions, the torus partition sum of the theory at $\mu=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $\mu$, to be that of a $\mu J\bar T$ deformed conformal field theory (CFT). We derive a flow equation for the $J\bar{T}$ deformed partition sum, and use it to study non-perturbative effects. We find non-perturbative ambiguities for any non-zero value of $\mu$, and comment on their possible relations to holography. |
hep-th/9908073 | David I. Santiago | Ronald J. Adler, David I. Santiago | On a Generalization in Quantum Theory: Is $\hbar$ Constant? | 9 pages, Uses ReVTeX macros | null | null | null | hep-th gr-qc quant-ph | null | We here consider a generalization of the Klein-Gordon scalar wave equation
which involves a single arbitrary function. The quantization may be viewed as
allowing $\hbar$ to be a function of the momentum or wave vector rather than a
constant. The generalized theory is most easily viewed in the wave vector space
analog of the Lagrangian. We need no reference to spacetime. In the generalized
theory the de Broglie relation between wave vector and momentum is generalized,
as are the canonical commutation relations and the uncertainty principle. The
generalized uncertainty principle obtained is the same as has been derived from
string theory, or by a general consideration of gravitational effects during
the quantum measurement process. The propagator of the scalar field is also
generalized, and an illustrative example is given in which it factors into the
usual propagator times a "propagator form factor."
| [
{
"created": "Mon, 9 Aug 1999 21:40:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Adler",
"Ronald J.",
""
],
[
"Santiago",
"David I.",
""
]
] | We here consider a generalization of the Klein-Gordon scalar wave equation which involves a single arbitrary function. The quantization may be viewed as allowing $\hbar$ to be a function of the momentum or wave vector rather than a constant. The generalized theory is most easily viewed in the wave vector space analog of the Lagrangian. We need no reference to spacetime. In the generalized theory the de Broglie relation between wave vector and momentum is generalized, as are the canonical commutation relations and the uncertainty principle. The generalized uncertainty principle obtained is the same as has been derived from string theory, or by a general consideration of gravitational effects during the quantum measurement process. The propagator of the scalar field is also generalized, and an illustrative example is given in which it factors into the usual propagator times a "propagator form factor." |
1401.2701 | Xing Wu | Xing Wu | Holographic entanglement entropy and thermodynamic instability of planar
R-charged black holes | 21 pages, 15 figures; typo corrected, reference added, some
descriptions clarified | Phys. Rev. D 90, 066008 (2014) | 10.1103/PhysRevD.90.066008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic entanglement entropy of an infinite strip subsystem on the
asymptotic AdS boundary is used as a probe to study the thermodynamic
instabilities of planar R-charged black holes (or their dual field theories).
We focus on the single-charge AdS black holes in $D=5$, which correspond to
spinning D3-branes with one non-vanishing angular momentum. Our results show
that the holographic entanglement entropy indeed exhibits the thermodynamic
instability associated with the divergence of the specific heat. When the width
of the strip is large enough, the finite part of the holographic entanglement
entropy as a function of the temperature resembles the thermal entropy, as is
expected. As the width becomes smaller, however, the two entropies behave
differently. In particular, there exists a critical value for the width of the
strip, below which the finite part of the holographic entanglement entropy as a
function of the temperature develops a self-intersection. We also find similar
behavior in the single-charge black holes in $D=4$ and $7$.
| [
{
"created": "Mon, 13 Jan 2014 03:33:15 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jan 2014 10:21:00 GMT",
"version": "v2"
}
] | 2014-09-24 | [
[
"Wu",
"Xing",
""
]
] | The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the single-charge AdS black holes in $D=5$, which correspond to spinning D3-branes with one non-vanishing angular momentum. Our results show that the holographic entanglement entropy indeed exhibits the thermodynamic instability associated with the divergence of the specific heat. When the width of the strip is large enough, the finite part of the holographic entanglement entropy as a function of the temperature resembles the thermal entropy, as is expected. As the width becomes smaller, however, the two entropies behave differently. In particular, there exists a critical value for the width of the strip, below which the finite part of the holographic entanglement entropy as a function of the temperature develops a self-intersection. We also find similar behavior in the single-charge black holes in $D=4$ and $7$. |
hep-th/9207073 | Tim Hollowood | J.M. Evans and T.J. Hollowood | Integrable N=2 Supersymmetric Field Theories | 14 pages, OUTP-92-12P | Phys.Lett. B293 (1992) 100-110 | 10.1016/0370-2693(92)91486-S | null | hep-th | null | Some additional references are included on the last 3 pages.
| [
{
"created": "Wed, 22 Jul 1992 13:40:13 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 1992 13:44:37 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Evans",
"J. M.",
""
],
[
"Hollowood",
"T. J.",
""
]
] | Some additional references are included on the last 3 pages. |
0804.3063 | Igor Samsonov | I.L. Buchbinder, O. Lechtenfeld, I.B. Samsonov | N=4 superparticle and super Yang-Mills theory in USp(4) harmonic
superspace | 1+42 pages, references added, published version | Nucl.Phys.B802:208-246,2008 | 10.1016/j.nuclphysb.2008.05.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the N=4 harmonic superparticle model, both with and without central
charge and quantize it. Since the central charge breaks the U(4) R-symmetry
group of the N=4 superalgebra down to USp(4), we consider the superparticle
dynamics in N=4 harmonic superspace with USp(4)/(U(1)xU(1)) harmonic variables.
We show that the quantization of a massive superparticle with central charge
leads to a superfield realization of the N=4 massive vector multiplet in N=4
harmonic superspace. In the massless case without central charge the
superparticle quantization reproduces three different multiplets: the N=4 SYM
multiplet, the N=4 gravitino multiplet and N=4 supergravity multiplet. The SYM
multiplet is described by six analytic superfield strengths with different
types of analyticity. We show that these strengths solve the N=4 SYM
constraints and can be used for the construction of actions in N=4 harmonic
superspace.
| [
{
"created": "Fri, 18 Apr 2008 16:24:52 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2008 15:32:23 GMT",
"version": "v2"
},
{
"created": "Sat, 24 May 2008 14:00:11 GMT",
"version": "v3"
}
] | 2010-05-28 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Lechtenfeld",
"O.",
""
],
[
"Samsonov",
"I. B.",
""
]
] | We study the N=4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U(4) R-symmetry group of the N=4 superalgebra down to USp(4), we consider the superparticle dynamics in N=4 harmonic superspace with USp(4)/(U(1)xU(1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N=4 massive vector multiplet in N=4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N=4 SYM multiplet, the N=4 gravitino multiplet and N=4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N=4 SYM constraints and can be used for the construction of actions in N=4 harmonic superspace. |
hep-th/9609188 | Vautherin Dominique | D. Vautherin and T. Matsui | Boost invariant quantum evolution of a meson field at large proper times | 9 pages, LATEX | Phys.Rev. D55 (1997) 4492-4495 | 10.1103/PhysRevD.55.4492 | IPNO/TH 96-31 and YITP-96-39 | hep-th | null | We construct asymptotic solutions of the functional Schroedinger equation for
a scalar field in the Gaussian approximation at large proper time. These
solutions describe the late proper time stages of the expansion of a meson gas
with boost invariant boundary conditions. The relevance of these solutions for
the formation of a disoriented chiral condensate in ultra relativistic
collisions is discussed.
| [
{
"created": "Tue, 24 Sep 1996 17:11:28 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Vautherin",
"D.",
""
],
[
"Matsui",
"T.",
""
]
] | We construct asymptotic solutions of the functional Schroedinger equation for a scalar field in the Gaussian approximation at large proper time. These solutions describe the late proper time stages of the expansion of a meson gas with boost invariant boundary conditions. The relevance of these solutions for the formation of a disoriented chiral condensate in ultra relativistic collisions is discussed. |
2105.09196 | Carlo Alberto Cremonini | C. A. Cremonini and P. A. Grassi | Power to Integral Forms | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel reformulation of D=4, N=1 supergravity action in the language of
integral forms is given. We illustrate the construction of the Berezinian in
the supergeometric framework, providing a useful dictionary between mathematics
and physics. We present a unified framework for Berezin-Lebesgue integrals for
functions and for integral forms. As an application, we discuss Volkov-Akulov
theory and its coupling to supergravity from this new perspective.
| [
{
"created": "Wed, 19 May 2021 15:14:17 GMT",
"version": "v1"
}
] | 2021-05-20 | [
[
"Cremonini",
"C. A.",
""
],
[
"Grassi",
"P. A.",
""
]
] | A novel reformulation of D=4, N=1 supergravity action in the language of integral forms is given. We illustrate the construction of the Berezinian in the supergeometric framework, providing a useful dictionary between mathematics and physics. We present a unified framework for Berezin-Lebesgue integrals for functions and for integral forms. As an application, we discuss Volkov-Akulov theory and its coupling to supergravity from this new perspective. |
1808.04292 | Mikhail Volkov | Shinji Mukohyama and Mikhail S. Volkov | The Ogievetsky-Polubarinov massive gravity and the benign Boulware-Deser
mode | 30 pages, 2 figures | null | 10.1088/1475-7516/2018/10/037 | YITP-18-87, IPMU18-0135 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present our analysis of the theory constructed in 1965 by Ogievetsky and
Polubarinov (OP) -- the first ever theory of interacting massive gravitons. Its
mass term is adjusted in such a way that the non-linear field equations imply
as a consequence the linear Hilbert-Lorentz condition, which restricts the spin
of states in the theory. Strikingly, for special parameter values this theory
coincides with one of the "ghost-free" massive gravity models rediscovered only
in 2010. For generic parameter values, however, it propagates 6 degrees of
freedom and shows ghost around flat space. Surprizingly, we find that the de
Sitter space remains stable for a large region of the parameter space, provided
that the Hubble expansion rate is large enough, hence the Boulware-Deser mode
is benign in this case. We study also other solutions and find that the Milne
universe -- a sector of Minkowski space -- is stable in the UV limit. This
presumably implies that at the non-linear level the ghost instability in flat
space develops only for long waves, similarly to the classical Jeans
instability.
| [
{
"created": "Mon, 13 Aug 2018 15:36:03 GMT",
"version": "v1"
}
] | 2018-10-31 | [
[
"Mukohyama",
"Shinji",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We present our analysis of the theory constructed in 1965 by Ogievetsky and Polubarinov (OP) -- the first ever theory of interacting massive gravitons. Its mass term is adjusted in such a way that the non-linear field equations imply as a consequence the linear Hilbert-Lorentz condition, which restricts the spin of states in the theory. Strikingly, for special parameter values this theory coincides with one of the "ghost-free" massive gravity models rediscovered only in 2010. For generic parameter values, however, it propagates 6 degrees of freedom and shows ghost around flat space. Surprizingly, we find that the de Sitter space remains stable for a large region of the parameter space, provided that the Hubble expansion rate is large enough, hence the Boulware-Deser mode is benign in this case. We study also other solutions and find that the Milne universe -- a sector of Minkowski space -- is stable in the UV limit. This presumably implies that at the non-linear level the ghost instability in flat space develops only for long waves, similarly to the classical Jeans instability. |
2005.14254 | Anne Spiering | Tristan McLoughlin, Raul Pereira, Anne Spiering | One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory | 41 pages, 10 figures | null | 10.1007/JHEP10(2020)124 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider non-planar one-loop anomalous dimensions in maximally
supersymmetric Yang-Mills theory and its marginally deformed analogues. Using
the basis of Bethe states, we compute matrix elements of the dilatation
operator and find compact expressions in terms of off-shell scalar products and
hexagon-like functions. We then use non-degenerate quantum-mechanical
perturbation theory to compute the leading $1/N^2$ corrections to operator
dimensions and as an example compute the large $R$-charge limit for
two-excitation states through subleading order in the $R$-charge. Finally, we
numerically study the distribution of level spacings for these theories and
show that they transition from the Poisson distribution for integrable systems
at infinite $N$ to the GOE Wigner-Dyson distribution for quantum chaotic
systems at finite $N$.
| [
{
"created": "Thu, 28 May 2020 19:37:15 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"McLoughlin",
"Tristan",
""
],
[
"Pereira",
"Raul",
""
],
[
"Spiering",
"Anne",
""
]
] | We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading $1/N^2$ corrections to operator dimensions and as an example compute the large $R$-charge limit for two-excitation states through subleading order in the $R$-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite $N$ to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite $N$. |
hep-th/0611150 | Diederik Roest | U. Gran, J. Gutowski, G. Papadopoulos, D. Roest | Classification of supersymmetric backgrounds of string theory | 8 pages, contribution to the proceedings of the RTN project
`Constituents, Fundamental Forces and Symmetries of the Universe' conference
in Napoli, October 9 - 13, 2006 | Fortsch.Phys.55:736-741,2007 | 10.1002/prop.200610363 | null | hep-th | null | We review the recent progress made towards the classification of
supersymmetric solutions in ten and eleven dimensions with emphasis on those of
IIB supergravity. In particular, the spinorial geometry method is outlined and
adapted to nearly maximally supersymmetric backgrounds. We then demonstrate its
effectiveness by classifying the maximally supersymmetric IIB G-backgrounds and
by showing that N=31 IIB solutions do not exist.
| [
{
"created": "Tue, 14 Nov 2006 14:06:46 GMT",
"version": "v1"
}
] | 2016-04-26 | [
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
],
[
"Roest",
"D.",
""
]
] | We review the recent progress made towards the classification of supersymmetric solutions in ten and eleven dimensions with emphasis on those of IIB supergravity. In particular, the spinorial geometry method is outlined and adapted to nearly maximally supersymmetric backgrounds. We then demonstrate its effectiveness by classifying the maximally supersymmetric IIB G-backgrounds and by showing that N=31 IIB solutions do not exist. |
hep-th/9509024 | Alexander Volkov | A. Yu. Volkov | Quantum lattice KdV equation | 12 pages, LaTeX | Lett.Math.Phys. 39 (1997) 313-329 | null | null | hep-th | null | A quantum theory is developed for a difference-difference system which can
serve as a toy-model of the quantum Korteveg-de-Vries equation.
| [
{
"created": "Wed, 6 Sep 1995 11:36:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Volkov",
"A. Yu.",
""
]
] | A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation. |
1312.1198 | Dionisio Bazeia | D. Bazeia, A.S. Lob\~ao Jr., L. Losano, R. Menezes | First-order formalism for twinlike models with several real scalar
fields | 9 pages; Version to appear in EPJC | Eur. Phys. J. C 74 (2014) 2755 | 10.1140/epjc/s10052-014-2755-0 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the presence of twinlike models in theories described by
several real scalar fields. We focus on the first-order formalism, and we show
how to build distinct scalar field theories that support the same extended
solution, with the same energy density and the very same linear stability. The
results are valid for two distinct classes of generalized models, that include
the standard model and cover a diversity of generalized models of current
interest in high energy physics.
| [
{
"created": "Wed, 4 Dec 2013 15:12:19 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jan 2014 17:23:53 GMT",
"version": "v2"
}
] | 2014-03-17 | [
[
"Bazeia",
"D.",
""
],
[
"Lobão",
"A. S.",
"Jr."
],
[
"Losano",
"L.",
""
],
[
"Menezes",
"R.",
""
]
] | We investigate the presence of twinlike models in theories described by several real scalar fields. We focus on the first-order formalism, and we show how to build distinct scalar field theories that support the same extended solution, with the same energy density and the very same linear stability. The results are valid for two distinct classes of generalized models, that include the standard model and cover a diversity of generalized models of current interest in high energy physics. |
1009.1183 | G. Alencar | G. Alencar, R. R. Landim, M. O. Tahim, R. N. Costa Filho, K. C. Mendes | Antisymmetric Tensor Fields in Codimension Two Brane-World | 9 pages | null | 10.1209/0295-5075/93/10003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we consider the issue of localization of antisymmetric tensor
fields of arbitrary rank in a D dimensional Space-time with a codimension two.
A string-like defect is used to simulate the membrane. The localization of
massless and massive fields is found. The mass spectrum is infinitely
degenerate for each mass level and this is solved by coupling the $q-$form to
fermions.
| [
{
"created": "Tue, 7 Sep 2010 00:34:54 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2010 22:28:19 GMT",
"version": "v2"
}
] | 2015-05-19 | [
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Tahim",
"M. O.",
""
],
[
"Filho",
"R. N. Costa",
""
],
[
"Mendes",
"K. C.",
""
]
] | In this work we consider the issue of localization of antisymmetric tensor fields of arbitrary rank in a D dimensional Space-time with a codimension two. A string-like defect is used to simulate the membrane. The localization of massless and massive fields is found. The mass spectrum is infinitely degenerate for each mass level and this is solved by coupling the $q-$form to fermions. |
1506.07316 | Edwin Ireson | Edwin Ireson | Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged
Wess-Zumino-Witten theories, realised on branes | 3 figures, 9 tables | null | 10.1016/j.nuclphysb.2015.10.023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we extend the results of previous derivations of Seiberg-like
dualities (level-rank duality) between gauged Wess-Zumino-Witten theories. The
arguments in use to identify a potential dual for the supersymmetric WZW theory
based on the coset $\frac{U(N+M)_k}{U(N)_k}$ can be extended to be applied to a
wider variety of gauge groups, notably $\frac{USp(2N+2M)_{2k}}{USp(2N)_{2k}}$
and $\frac{SO(2N+2M)_{2k}}{SO(2N)_{2k}}$, which will be dealt with briefly.
Most interestingly, non-supersymmetric versions of the latter theories can also
be shown to have duals in a similar fashion. These results are supported by
several pieces of evidence, string phenomenological interpretations of Seiberg
duality, even in non-supersymmetric backgrounds, is helpful to justify the
formulation, then, from field theory, quantities such as central charges or
Witten indices are shown to match exactly. The stability of these
non-supersymmetric models is also discussed and shown to be consistent.
| [
{
"created": "Wed, 24 Jun 2015 11:02:40 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2015 10:54:13 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Oct 2015 17:43:52 GMT",
"version": "v3"
}
] | 2015-12-09 | [
[
"Ireson",
"Edwin",
""
]
] | In this work we extend the results of previous derivations of Seiberg-like dualities (level-rank duality) between gauged Wess-Zumino-Witten theories. The arguments in use to identify a potential dual for the supersymmetric WZW theory based on the coset $\frac{U(N+M)_k}{U(N)_k}$ can be extended to be applied to a wider variety of gauge groups, notably $\frac{USp(2N+2M)_{2k}}{USp(2N)_{2k}}$ and $\frac{SO(2N+2M)_{2k}}{SO(2N)_{2k}}$, which will be dealt with briefly. Most interestingly, non-supersymmetric versions of the latter theories can also be shown to have duals in a similar fashion. These results are supported by several pieces of evidence, string phenomenological interpretations of Seiberg duality, even in non-supersymmetric backgrounds, is helpful to justify the formulation, then, from field theory, quantities such as central charges or Witten indices are shown to match exactly. The stability of these non-supersymmetric models is also discussed and shown to be consistent. |
0801.1605 | Marek Olechowski | M. Olechowski | k-stabilization in brane models | 23 pages, subsection on self-adjoint Sturm-Liouville eigenvalue
problems added, references added, version to be published | Phys.Rev.D78:084036,2008 | 10.1103/PhysRevD.78.084036 | IFT-08-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stabilization of inter-brane distance is analyzed in 5-dimensional models
with higher-order scalar kinetic terms. Equations of motion and boundary
conditions for background and for scalar perturbations are presented.
Conditions sufficient and (with one exception) necessary for stability are
derived and discussed. It is shown that it is possible to construct stable
brane configurations even without scalar potentials and cosmological constants.
As a byproduct we identify a large class of non-standard boundary conditions
for which the Sturm-Liouville operator is hermitian.
| [
{
"created": "Thu, 10 Jan 2008 14:19:27 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2008 10:25:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Olechowski",
"M.",
""
]
] | Stabilization of inter-brane distance is analyzed in 5-dimensional models with higher-order scalar kinetic terms. Equations of motion and boundary conditions for background and for scalar perturbations are presented. Conditions sufficient and (with one exception) necessary for stability are derived and discussed. It is shown that it is possible to construct stable brane configurations even without scalar potentials and cosmological constants. As a byproduct we identify a large class of non-standard boundary conditions for which the Sturm-Liouville operator is hermitian. |
hep-th/0208099 | Carvalho de Abreu Everton | Everton M.C. Abreu | The non-Abelian, PST and supersymmetric formulations of Hull's notons | 16 pages. Latex. New title | JHEP 0211:008,2002 | 10.1088/1126-6708/2002/11/008 | null | hep-th | null | Chiral p-forms are, in fact, present in many supersymmetric and supergravity
models in two, six and ten dimensions. In this work, the dual projection
procedure, which is essentially equivalent to a canonical transformation, is
used to diagonalize some theories in D=2 (0-forms). The dual projection
performed here provides an alternative way of gauging the chiral components
without the necessity of constraints. It is shown, through the dual projection,
that the nonmover field (the noton) initially introduced by Hull to cancel out
the Siegel anomaly, has non-Abelian, PST and supersymmetric formulations.
| [
{
"created": "Wed, 14 Aug 2002 12:21:38 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2002 20:28:38 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Aug 2002 22:11:19 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Oct 2002 19:56:28 GMT",
"version": "v4"
},
{
"created": "Wed, 30 Oct 2002 13:46:14 GMT",
"version": "v5"
}
] | 2014-11-18 | [
[
"Abreu",
"Everton M. C.",
""
]
] | Chiral p-forms are, in fact, present in many supersymmetric and supergravity models in two, six and ten dimensions. In this work, the dual projection procedure, which is essentially equivalent to a canonical transformation, is used to diagonalize some theories in D=2 (0-forms). The dual projection performed here provides an alternative way of gauging the chiral components without the necessity of constraints. It is shown, through the dual projection, that the nonmover field (the noton) initially introduced by Hull to cancel out the Siegel anomaly, has non-Abelian, PST and supersymmetric formulations. |
2104.10500 | Dean Carmi | Dean Carmi | Loops in AdS: From the Spectral Representation to Position Space II | minor corrections, 36 pages, 11 figures | null | 10.1007/JHEP07(2021)186 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We continue the study of AdS loop amplitudes in the spectral representation
and in position space. We compute the finite coupling 4-point function in
position space for the large-$N$ conformal Gross Neveu model on $AdS_3$. The
resummation of loop bubble diagrams gives a result proportional to a tree-level
contact diagram. We show that certain families of fermionic Witten diagrams can
be easily computed from their companion scalar diagrams. Thus, many of the
results and identities of [1] are extended to the case of external fermions. We
derive a spectral representation for ladder diagrams in AdS. Finally, we
compute various bulk 2-point correlators, extending the results of [1].
| [
{
"created": "Wed, 21 Apr 2021 12:39:26 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2021 22:30:05 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jun 2021 14:12:27 GMT",
"version": "v3"
}
] | 2021-08-18 | [
[
"Carmi",
"Dean",
""
]
] | We continue the study of AdS loop amplitudes in the spectral representation and in position space. We compute the finite coupling 4-point function in position space for the large-$N$ conformal Gross Neveu model on $AdS_3$. The resummation of loop bubble diagrams gives a result proportional to a tree-level contact diagram. We show that certain families of fermionic Witten diagrams can be easily computed from their companion scalar diagrams. Thus, many of the results and identities of [1] are extended to the case of external fermions. We derive a spectral representation for ladder diagrams in AdS. Finally, we compute various bulk 2-point correlators, extending the results of [1]. |
hep-th/9408132 | Stefan Bornholdt | S. Bornholdt, N. Tetradis, and C. Wetterich | Coleman-Weinberg Phase Transition in Two-Scalar Models | 14 pages, Oxford OUTP 94-14 P, Heidelberg HD-THEP-94-15 | Phys.Lett.B348:89-99,1995 | 10.1016/0370-2693(95)00045-M | null | hep-th hep-ph | null | We explore the Coleman-Weinberg phase transition in regions outside the
validity of perturbation theory. For this purpose we study a Euclidean field
theory with two scalars and discrete symmetry in four dimensions. The phase
diagram is established by a numerical solution of a suitable truncation of
exact non-perturbative flow equations. We find regions in parameter space where
the phase transition (in dependence on the mass term) is of the second or the
first order, separated by a triple point. Our quantitative results for the
first order phase transition compare well to the standard perturbative
Coleman-Weinberg calculation of the effective potential.
| [
{
"created": "Wed, 24 Aug 1994 12:50:05 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bornholdt",
"S.",
""
],
[
"Tetradis",
"N.",
""
],
[
"Wetterich",
"C.",
""
]
] | We explore the Coleman-Weinberg phase transition in regions outside the validity of perturbation theory. For this purpose we study a Euclidean field theory with two scalars and discrete symmetry in four dimensions. The phase diagram is established by a numerical solution of a suitable truncation of exact non-perturbative flow equations. We find regions in parameter space where the phase transition (in dependence on the mass term) is of the second or the first order, separated by a triple point. Our quantitative results for the first order phase transition compare well to the standard perturbative Coleman-Weinberg calculation of the effective potential. |
2002.02177 | Marek Rogatko | Marek Rogatko, Karol I. Wysokinski | Conductivity bound of the strongly interacting and disordered graphene
from gauge/gravity duality | 13 pages, Revtex, to be published in Phys.Rev.D15 | null | 10.1103/PhysRevD.101.046019 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The carriers in graphene tuned close to the Dirac point envisage signatures
of the strongly interacting fluid and are subject to hydrodynamic description.
The important question is whether strong disorder induces the metal-insulator
transition in this two-dimensional material. The bound on the conductivity
tensor found earlier within the single current description, implies that the
system does not feature metal-insulator transition. The linear spectrum of the
graphene imposes the phase-space constraints and calls for the two-current
description of interacting electron and hole liquids. Based on the
gauge/gravity correspondence, using the linear response of the black brane with
broken translation symmetry in Einstein-Maxwell gravity with the auxiliary
U(1)-gauge field, responsible for the second current, we have calculated the
lower bound of the DC-conductivity in holographic model of graphene. The
calculations show that the bound on the conductivity depends on the coupling
between both U(1) fields and for a physically justified range of parameters it
departs only weakly from the value found for a model with the single U(1)
field.
| [
{
"created": "Thu, 6 Feb 2020 09:53:26 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Rogatko",
"Marek",
""
],
[
"Wysokinski",
"Karol I.",
""
]
] | The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator transition in this two-dimensional material. The bound on the conductivity tensor found earlier within the single current description, implies that the system does not feature metal-insulator transition. The linear spectrum of the graphene imposes the phase-space constraints and calls for the two-current description of interacting electron and hole liquids. Based on the gauge/gravity correspondence, using the linear response of the black brane with broken translation symmetry in Einstein-Maxwell gravity with the auxiliary U(1)-gauge field, responsible for the second current, we have calculated the lower bound of the DC-conductivity in holographic model of graphene. The calculations show that the bound on the conductivity depends on the coupling between both U(1) fields and for a physically justified range of parameters it departs only weakly from the value found for a model with the single U(1) field. |
1207.3723 | Mikhail Volkov | Mikhail S. Volkov | Exact self-accelerating cosmologies in the ghost-free massive gravity --
the detailed derivation | 20 pages, a misprint corrected, to appear in Phys.Rev.D | null | 10.1103/PhysRevD.86.104022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the detailed derivation of the recently announced most general
cosmological solution with homogeneous and isotropic metric in the ghost-free
massive gravity theory. We use the standard parametrization of the theory in
terms of the matrix square root, and then show how the same results are
recovered within the tetrad formulation. The solution obtained includes the
matter source, it exists for generic values of the theory parameters, and it
describes a universe that can be spatially open, closed, or flat, and that
shows the late time acceleration due to the effective cosmological term
mimicked by the graviton mass. The St\"uckelberg fields are inhomogeneous,
which could probably give rise to inhomogeneous perturbations of the
homogeneous and isotropic backgrounds, although this effect should be
suppressed by the smallness of the graviton mass.
| [
{
"created": "Mon, 16 Jul 2012 16:56:33 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2012 14:44:15 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Oct 2012 14:11:55 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Volkov",
"Mikhail S.",
""
]
] | We present the detailed derivation of the recently announced most general cosmological solution with homogeneous and isotropic metric in the ghost-free massive gravity theory. We use the standard parametrization of the theory in terms of the matrix square root, and then show how the same results are recovered within the tetrad formulation. The solution obtained includes the matter source, it exists for generic values of the theory parameters, and it describes a universe that can be spatially open, closed, or flat, and that shows the late time acceleration due to the effective cosmological term mimicked by the graviton mass. The St\"uckelberg fields are inhomogeneous, which could probably give rise to inhomogeneous perturbations of the homogeneous and isotropic backgrounds, although this effect should be suppressed by the smallness of the graviton mass. |
hep-th/0409177 | Shin'ichi Nojiri | M.C.B. Abdalla, Shin'ichi Nojiri, Sergei D.Odintsov | Consistent modified gravity: dark energy, acceleration and the absence
of cosmic doomsday | LaTeX file, 9 pages, based on the talk given by S.D. Odintsov (Int.
Conference Mathematical Methods in Physics, Rio de Janeiro, Augest, 2004), to
appear in CQG, Letters | Class.Quant.Grav.22:L35,2005 | 10.1088/0264-9381/22/5/L01 | null | hep-th astro-ph gr-qc | null | We discuss the modified gravity which includes negative and positive powers
of the curvature and which provides the gravitational dark energy. It is shown
that in GR plus the term containing negative power of the curvature the cosmic
speed-up may be achieved, while the effective phantom phase (with $w$ less than
-1) follows when such term contains the fractional positive power of the
curvature. The minimal coupling with matter makes the situation more
interesting: even 1/R theory coupled with the usual ideal fliud may describe
the (effective phantom) dark energy. The account of $R^2$ term (consistent
modified gravity) may help to escape of cosmic doomsday.
| [
{
"created": "Thu, 16 Sep 2004 22:01:33 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Oct 2004 01:04:40 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Jan 2005 07:41:42 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Abdalla",
"M. C. B.",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We discuss the modified gravity which includes negative and positive powers of the curvature and which provides the gravitational dark energy. It is shown that in GR plus the term containing negative power of the curvature the cosmic speed-up may be achieved, while the effective phantom phase (with $w$ less than -1) follows when such term contains the fractional positive power of the curvature. The minimal coupling with matter makes the situation more interesting: even 1/R theory coupled with the usual ideal fliud may describe the (effective phantom) dark energy. The account of $R^2$ term (consistent modified gravity) may help to escape of cosmic doomsday. |
1904.02867 | Hajime Otsuka | Tatsuo Kobayashi, Hajime Otsuka, Hikaru Uchida | Wavefunctions and Yukawa Couplings on Resolutions of $T^2/\mathbb{Z}_N$
Orbifolds | 19 pages, 2 figures, v2: published version | null | 10.1007/JHEP08(2019)046 | EPHOU-19-006, KEK-TH-2118 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose matter wavefunctions on resolutions of $T^2/\mathbb{Z}_N$
singularities with constant magnetic fluxes. In the blow-down limit, the
obtained wavefunctions of chiral zero-modes result in those on the magnetized
$T^2/\mathbb{Z}_N$ orbifold models, but the wavefunctions of
$\mathbb{Z}_N$-invariant zero-modes receive the blow-up effects around fixed
points of $T^2/\mathbb{Z}_N$ orbifolds. Such blow-up effects change the
selection rules and Yukawa couplings among the chiral zero-modes as well as the
modular symmetry, in contrast to those on the magnetized $T^2/\mathbb{Z}_N$
orbifold models.
| [
{
"created": "Fri, 5 Apr 2019 04:49:17 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2019 04:17:27 GMT",
"version": "v2"
}
] | 2019-08-12 | [
[
"Kobayashi",
"Tatsuo",
""
],
[
"Otsuka",
"Hajime",
""
],
[
"Uchida",
"Hikaru",
""
]
] | We propose matter wavefunctions on resolutions of $T^2/\mathbb{Z}_N$ singularities with constant magnetic fluxes. In the blow-down limit, the obtained wavefunctions of chiral zero-modes result in those on the magnetized $T^2/\mathbb{Z}_N$ orbifold models, but the wavefunctions of $\mathbb{Z}_N$-invariant zero-modes receive the blow-up effects around fixed points of $T^2/\mathbb{Z}_N$ orbifolds. Such blow-up effects change the selection rules and Yukawa couplings among the chiral zero-modes as well as the modular symmetry, in contrast to those on the magnetized $T^2/\mathbb{Z}_N$ orbifold models. |
0811.3056 | Mikhail Olshanetsky | Andrey M. Levin, Mikhail A. Olshanetsky and Andrei V. Zotov | Monopoles and Modifications of Bundles over Elliptic Curves | Contribution to the Proceedings of the Workshop "Elliptic Integrable
Systems, Isomonodromy Problems, and Hypergeometric Hunctions" (Bonn, July,
2008) | SIGMA 5 (2009), 065, 22 pages | 10.3842/SIGMA.2009.065 | ITEP-TH-54/08 | hep-th math.AG | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Modifications of bundles over complex curves is an operation that allows one
to construct a new bundle from a given one. Modifications can change a
topological type of bundle. We describe the topological type in terms of the
characteristic classes of the bundle. Being applied to the Higgs bundles
modifications establish an equivalence between different classical integrable
systems. Following Kapustin and Witten we define the modifications in terms of
monopole solutions of the Bogomolny equation. We find the Dirac monopole
solution in the case $R $\times$ (elliptic curve). This solution is a
three-dimensional generalization of the Kronecker series. We give two
representations for this solution and derive a functional equation for it
generalizing the Kronecker results. We use it to define Abelian modifications
for bundles of arbitrary rank. We also describe non-Abelian modifications in
terms of theta-functions with characteristic.
| [
{
"created": "Wed, 19 Nov 2008 07:00:27 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2009 05:02:49 GMT",
"version": "v2"
}
] | 2009-06-25 | [
[
"Levin",
"Andrey M.",
""
],
[
"Olshanetsky",
"Mikhail A.",
""
],
[
"Zotov",
"Andrei V.",
""
]
] | Modifications of bundles over complex curves is an operation that allows one to construct a new bundle from a given one. Modifications can change a topological type of bundle. We describe the topological type in terms of the characteristic classes of the bundle. Being applied to the Higgs bundles modifications establish an equivalence between different classical integrable systems. Following Kapustin and Witten we define the modifications in terms of monopole solutions of the Bogomolny equation. We find the Dirac monopole solution in the case $R $\times$ (elliptic curve). This solution is a three-dimensional generalization of the Kronecker series. We give two representations for this solution and derive a functional equation for it generalizing the Kronecker results. We use it to define Abelian modifications for bundles of arbitrary rank. We also describe non-Abelian modifications in terms of theta-functions with characteristic. |
hep-th/0203202 | Diederik Roest | E. Bergshoeff, U. Gran, D. Roest | Type IIB Seven-brane Solutions from Nine-dimensional Domain Walls | 24 pages, Latex. v3: statements about G7-brane solution refined | Class.Quant.Grav. 19 (2002) 4207-4226 | 10.1088/0264-9381/19/15/321 | UG-02-38 | hep-th | null | We investigate half-supersymmetric domain wall solutions of four maximally
supersymmetric D=9 massive supergravity theories obtained by Scherk-Schwarz
reduction of D=10 IIA and IIB supergravity. One of the theories does not have a
superpotential and does not allow domain wall solutions preserving any
supersymmetry. The other three theories have superpotentials leading to
half-supersymmetric domain wall solutions, one of which has zero potential but
non-zero superpotential.
The uplifting of these domain wall solutions to ten dimensions leads to three
classes of half-supersymmetric Type IIB 7-brane solutions. All solutions within
each class are related by SL(2,R) transformations. The three classes together
contain solutions carrying all possible (quantised) 7-brane charges. One class
contains the well-known D7-brane solution and its dual partners and we provide
the explicit solutions for the other two classes. The domain wall solution with
zero potential lifts up to a half-supersymmetric conical space-time.
| [
{
"created": "Thu, 21 Mar 2002 15:58:42 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2002 15:32:32 GMT",
"version": "v2"
},
{
"created": "Fri, 31 May 2002 09:28:01 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Bergshoeff",
"E.",
""
],
[
"Gran",
"U.",
""
],
[
"Roest",
"D.",
""
]
] | We investigate half-supersymmetric domain wall solutions of four maximally supersymmetric D=9 massive supergravity theories obtained by Scherk-Schwarz reduction of D=10 IIA and IIB supergravity. One of the theories does not have a superpotential and does not allow domain wall solutions preserving any supersymmetry. The other three theories have superpotentials leading to half-supersymmetric domain wall solutions, one of which has zero potential but non-zero superpotential. The uplifting of these domain wall solutions to ten dimensions leads to three classes of half-supersymmetric Type IIB 7-brane solutions. All solutions within each class are related by SL(2,R) transformations. The three classes together contain solutions carrying all possible (quantised) 7-brane charges. One class contains the well-known D7-brane solution and its dual partners and we provide the explicit solutions for the other two classes. The domain wall solution with zero potential lifts up to a half-supersymmetric conical space-time. |
0902.1658 | S. Prem Kumar | Jimmy A. Hutasoit, S. Prem Kumar and James Rafferty | Real time response on dS_3: the Topological AdS Black Hole and the
Bubble | 52 pages, 11 figures, typos corrected, references added | JHEP 0904:063,2009 | 10.1088/1126-6708/2009/04/063 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study real time correlators in strongly coupled N=4 supersymmetric
Yang-Mills theory on dS_3 x S^1, with antiperiodic boundary conditions for
fermions on the circle. When the circle radius is larger than a critical value,
the dual geometry is the so-called "topological AdS_5 black hole". Applying the
Son- Starinets recipe in this background we compute retarded glueball
propagators which exhibit an infinite set of poles yielding the quasinormal
frequencies of the topological black hole. The imaginary parts of the
propagators exhibit thermal effects associated with the Gibbons-Hawking
temperature due to the cosmological horizon of the de Sitter boundary. We also
obtain R-current correlators and find that after accounting for a small
subtlety, the Son-Starinets prescription yields the retarded Green's functions.
The correlators do not display diffusive behaviour at late times. Below the
critical value of the circle radius, the topological black hole decays to the
AdS_5 "bubble of nothing". Using a high frequency WKB approximation, we show
that glueball correlators in this phase exhibit poles on the real axis. The
tunnelling from the black hole to the bubble is interpreted as a hadronization
transition.
| [
{
"created": "Tue, 10 Feb 2009 14:19:17 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2009 15:52:10 GMT",
"version": "v2"
}
] | 2009-09-30 | [
[
"Hutasoit",
"Jimmy A.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Rafferty",
"James",
""
]
] | We study real time correlators in strongly coupled N=4 supersymmetric Yang-Mills theory on dS_3 x S^1, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called "topological AdS_5 black hole". Applying the Son- Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the AdS_5 "bubble of nothing". Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition. |
1108.2236 | Roberto Daniel Mota Esteves Dr. | M. Salazar-Ram\'irez, D. Mart\'inez, R. D. Mota and V. D. Granados | su(1,1) Algebraic approach of the Dirac equation with Coulomb-type
scalar and vector potentials in D + 1 dimensions | null | null | 10.1209/0295-5075/95/60002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Dirac equation with Coulomb-type vector and scalar potentials in
D + 1 dimensions from an su(1, 1) algebraic approach. The generators of this
algebra are constructed by using the Schr\"odinger factorization. The theory of
unitary representations for the su(1, 1) Lie algebra allows us to obtain the
energy spectrum and the supersymmetric ground state. For the cases where there
exists either scalar or vector potential our results are reduced to those
obtained by analytical techniques.
| [
{
"created": "Wed, 10 Aug 2011 18:17:35 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Salazar-Ramírez",
"M.",
""
],
[
"Martínez",
"D.",
""
],
[
"Mota",
"R. D.",
""
],
[
"Granados",
"V. D.",
""
]
] | We study the Dirac equation with Coulomb-type vector and scalar potentials in D + 1 dimensions from an su(1, 1) algebraic approach. The generators of this algebra are constructed by using the Schr\"odinger factorization. The theory of unitary representations for the su(1, 1) Lie algebra allows us to obtain the energy spectrum and the supersymmetric ground state. For the cases where there exists either scalar or vector potential our results are reduced to those obtained by analytical techniques. |
hep-th/9807200 | Rey Soojong | M. Berkooz and Soo-Jong Rey | Non-Supersymmetric Stable Vacua of M-Theory | harvmac, no figure, 11 pages, v2: AdS examples changed | JHEP 9901:014,1999 | 10.1016/S0370-2693(99)00073-8 | IASSNS-HEP-98/68, SNUTP 98/088 | hep-th | null | We discuss stability of non-supersymmetric compactification of M-theory and
string theory of the form AdS * X, and their dual non-supersymmetric
interacting conformal field theories. We argue some of the difficulties in
controlling 1/N-corrections disappear in the cases that the large-N dual
conformal field theory has no invariant marginal operators (and in some cases
with no exactly marginal operators only). We provide several examples of such
compactifications of M-theory down to AdS4.
| [
{
"created": "Tue, 28 Jul 1998 04:11:22 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 1998 22:47:36 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Berkooz",
"M.",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We discuss stability of non-supersymmetric compactification of M-theory and string theory of the form AdS * X, and their dual non-supersymmetric interacting conformal field theories. We argue some of the difficulties in controlling 1/N-corrections disappear in the cases that the large-N dual conformal field theory has no invariant marginal operators (and in some cases with no exactly marginal operators only). We provide several examples of such compactifications of M-theory down to AdS4. |
0910.5159 | Phillip Szepietowski | Sera Cremonini, James T. Liu and Phillip Szepietowski | Higher Derivative Corrections to R-charged Black Holes: Boundary
Counterterms and the Mass-Charge Relation | 30 pages. v2: references added, some equations simplified | JHEP 1003:042,2010 | 10.1007/JHEP03(2010)042 | MCTP-09-51, MIFP-09-44, DAMTP-2009-72 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We carry out the holographic renormalization of Einstein-Maxwell theory with
curvature-squared corrections. In particular, we demonstrate how to construct
the generalized Gibbons-Hawking surface term needed to ensure a perturbatively
well-defined variational principle. This treatment ensures the absence of ghost
degrees of freedom at the linearized perturbative order in the
higher-derivative corrections. We use the holographically renormalized action
to study the thermodynamics of R-charged black holes with higher derivatives
and to investigate their mass to charge ratio in the extremal limit. In five
dimensions, there seems to be a connection between the sign of the higher
derivative couplings required to satisfy the weak gravity conjecture and that
violating the shear viscosity to entropy bound. This is in turn related to
possible constraints on the central charges of the dual CFT, in particular to
the sign of c-a.
| [
{
"created": "Tue, 27 Oct 2009 16:19:21 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 16:47:52 GMT",
"version": "v2"
}
] | 2010-03-19 | [
[
"Cremonini",
"Sera",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] | We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term needed to ensure a perturbatively well-defined variational principle. This treatment ensures the absence of ghost degrees of freedom at the linearized perturbative order in the higher-derivative corrections. We use the holographically renormalized action to study the thermodynamics of R-charged black holes with higher derivatives and to investigate their mass to charge ratio in the extremal limit. In five dimensions, there seems to be a connection between the sign of the higher derivative couplings required to satisfy the weak gravity conjecture and that violating the shear viscosity to entropy bound. This is in turn related to possible constraints on the central charges of the dual CFT, in particular to the sign of c-a. |
1602.07245 | Seyed Ali Hosseini Mansoori | S. A. Hosseini Mansoori, B. Mirza, A. Mokhtari, F. Lalehgani Dezaki,
Z. Sherkatghanad | Weyl holographic superconductor in the Lifshitz black hole background | 25 pages, 22 figures | JHEP07(2016)111 | 10.1007/JHEP07(2016)111 | null | hep-th cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate analytically the properties of the Weyl holographic
superconductor in the Lifshitz black hole background. We find that the critical
temperature of the Weyl superconductor decreases with increasing Lifshitz
dynamical exponent, $z$, indicating that condensation becomes difficult. In
addition, it is found that the critical temperature and condensation operator
could be affected by applying the Weyl coupling, $\gamma$. Moreover, we compute
the critical magnetic field and investigate its dependence on the parameters
$\gamma$ and $z$. Finally, we show numerically that the Weyl coupling parameter
$\gamma$ and the Lifshitz dynamical exponent $z$ together control the size and
strength of the conductivity peak and the ratio of gap frequency over critical
temperature $\omega_{g}/T_{c}$.
| [
{
"created": "Tue, 23 Feb 2016 17:44:29 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2016 16:32:49 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jul 2016 13:45:24 GMT",
"version": "v3"
}
] | 2016-07-22 | [
[
"Mansoori",
"S. A. Hosseini",
""
],
[
"Mirza",
"B.",
""
],
[
"Mokhtari",
"A.",
""
],
[
"Dezaki",
"F. Lalehgani",
""
],
[
"Sherkatghanad",
"Z.",
""
]
] | We investigate analytically the properties of the Weyl holographic superconductor in the Lifshitz black hole background. We find that the critical temperature of the Weyl superconductor decreases with increasing Lifshitz dynamical exponent, $z$, indicating that condensation becomes difficult. In addition, it is found that the critical temperature and condensation operator could be affected by applying the Weyl coupling, $\gamma$. Moreover, we compute the critical magnetic field and investigate its dependence on the parameters $\gamma$ and $z$. Finally, we show numerically that the Weyl coupling parameter $\gamma$ and the Lifshitz dynamical exponent $z$ together control the size and strength of the conductivity peak and the ratio of gap frequency over critical temperature $\omega_{g}/T_{c}$. |
hep-th/9606123 | Nobuyuki Ishibashi | Nobuyuki Ishibashi and Hikaru Kawai (KEK Theory Group) | Soliton Solutions in Noncritical String Field Theory? | 14 pages, RevTex | null | null | KEK-TH-487 | hep-th | null | We look for soliton solutions in $c=0$ noncritical string field theory
constructed by the authors and collaborators. It is shown that the string field
action itself is very complicated in our formalism but it satisfies a very
simple equation. We derive an equation which a solution to the equation of
motion should satisfy. Using this equation, we conjecture the form of a soliton
solution which is responsible for the nonperturbative effects of order
$e^{-A/\kappa}$. (Talk given by N.I. at ``Inauguration Conference of APCTP'',
4-10 June, 1996)
| [
{
"created": "Thu, 20 Jun 1996 02:26:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ishibashi",
"Nobuyuki",
"",
"KEK Theory Group"
],
[
"Kawai",
"Hikaru",
"",
"KEK Theory Group"
]
] | We look for soliton solutions in $c=0$ noncritical string field theory constructed by the authors and collaborators. It is shown that the string field action itself is very complicated in our formalism but it satisfies a very simple equation. We derive an equation which a solution to the equation of motion should satisfy. Using this equation, we conjecture the form of a soliton solution which is responsible for the nonperturbative effects of order $e^{-A/\kappa}$. (Talk given by N.I. at ``Inauguration Conference of APCTP'', 4-10 June, 1996) |
1505.06205 | Matthew Buican | Matthew Buican and Takahiro Nishinaka | Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries | 31 pages; version 2: small typos corrected; results unchanged;
published version; | null | 10.1088/1751-8113/49/4/045401 | RU-NHETC-2015-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, we proposed closed-form expressions for the superconformal
indices of the (A_1, A_{2n-3}) and (A_1, D_{2n}) Argyres-Douglas (AD)
superconformal field theories (SCFTs) in the Schur limit. Following up on our
results, we turn our attention to the small S^1 regime of these indices. As
expected on general grounds, our study reproduces the S^3 partition functions
of the resulting dimensionally reduced theories. However, we show that in all
cases---with the exception of the reduction of the (A_1, D_4) SCFT---certain
imaginary partners of real mass terms are turned on in the corresponding mirror
theories. We interpret these deformations as R symmetry mixing with the
topological symmetries of the direct S^1 reductions. Moreover, we argue that
these shifts occur in any of our theories whose four-dimensional N=2
superconformal U(1)_R symmetry does not obey an SU(2) quantization condition.
We then use our R symmetry map to find the four-dimensional ancestors of
certain three-dimensional operators. Somewhat surprisingly, this picture turns
out to imply that the scaling dimensions of many of the chiral operators of the
four-dimensional theory are encoded in accidental symmetries of the
three-dimensional theory. We also comment on the implications of our work on
the space of general N=2 SCFTs.
| [
{
"created": "Fri, 22 May 2015 20:00:29 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Nov 2015 12:54:24 GMT",
"version": "v2"
}
] | 2016-01-06 | [
[
"Buican",
"Matthew",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | In a recent paper, we proposed closed-form expressions for the superconformal indices of the (A_1, A_{2n-3}) and (A_1, D_{2n}) Argyres-Douglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we turn our attention to the small S^1 regime of these indices. As expected on general grounds, our study reproduces the S^3 partition functions of the resulting dimensionally reduced theories. However, we show that in all cases---with the exception of the reduction of the (A_1, D_4) SCFT---certain imaginary partners of real mass terms are turned on in the corresponding mirror theories. We interpret these deformations as R symmetry mixing with the topological symmetries of the direct S^1 reductions. Moreover, we argue that these shifts occur in any of our theories whose four-dimensional N=2 superconformal U(1)_R symmetry does not obey an SU(2) quantization condition. We then use our R symmetry map to find the four-dimensional ancestors of certain three-dimensional operators. Somewhat surprisingly, this picture turns out to imply that the scaling dimensions of many of the chiral operators of the four-dimensional theory are encoded in accidental symmetries of the three-dimensional theory. We also comment on the implications of our work on the space of general N=2 SCFTs. |
hep-th/0203012 | Oliver Schroeder | H. Reinhardt, O. Schroeder, T. Tok, V. Ch. Zhukovsky | Quark zero modes in intersecting center vortex gauge fields | 20 pages, 4 figures, LaTeX2e, references added, treatment of ideal
vortices on the torus shortened | Phys.Rev. D66 (2002) 085004 | 10.1103/PhysRevD.66.085004 | UNITU-THEP-08/2002 | hep-th | null | The zero modes of the Dirac operator in the background of center vortex gauge
field configurations in $\R^2$ and $\R^4$ are examined. If the net flux in D=2
is larger than 1 we obtain normalizable zero modes which are mainly localized
at the vortices. In D=4 quasi-normalizable zero modes exist for intersecting
flat vortex sheets with the Pontryagin index equal to 2. These zero modes are
mainly localized at the vortex intersection points, which carry a topological
charge of $\pm 1/2$. To circumvent the problem of normalizability the
space-time manifold is chosen to be the (compact) torus $\T^2$ and $\T^4$,
respectively. According to the index theorem there are normalizable zero modes
on $\T^2$ if the net flux is non-zero. These zero modes are localized at the
vortices. On $\T^4$ zero modes exist for a non-vanishing Pontryagin index. As
in $\R^4$ these zero modes are localized at the vortex intersection points.
| [
{
"created": "Fri, 1 Mar 2002 16:59:27 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2002 15:34:20 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Reinhardt",
"H.",
""
],
[
"Schroeder",
"O.",
""
],
[
"Tok",
"T.",
""
],
[
"Zhukovsky",
"V. Ch.",
""
]
] | The zero modes of the Dirac operator in the background of center vortex gauge field configurations in $\R^2$ and $\R^4$ are examined. If the net flux in D=2 is larger than 1 we obtain normalizable zero modes which are mainly localized at the vortices. In D=4 quasi-normalizable zero modes exist for intersecting flat vortex sheets with the Pontryagin index equal to 2. These zero modes are mainly localized at the vortex intersection points, which carry a topological charge of $\pm 1/2$. To circumvent the problem of normalizability the space-time manifold is chosen to be the (compact) torus $\T^2$ and $\T^4$, respectively. According to the index theorem there are normalizable zero modes on $\T^2$ if the net flux is non-zero. These zero modes are localized at the vortices. On $\T^4$ zero modes exist for a non-vanishing Pontryagin index. As in $\R^4$ these zero modes are localized at the vortex intersection points. |
1210.8204 | Aleksandr N. Pinzul | C. M. Gregory and A. Pinzul | On Noncommutative Effects in Entropic Gravity | 12 pages, 2 figures | null | 10.1103/PhysRevD.88.064030 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the question of possible quantum corrections in the entropic
scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical
approximation for the spherical holographic screen, we analyze whether it is
possible to observe such corrections to Newton's law in principle. The main
outcome of our analysis is that without the complete knowledge of quantum
dynamics of the microscopical degrees of freedom, any Plank scale correction
cannot be trusted. Some perturbative corrections might produce reliable
predictions well below the Plank scale.
| [
{
"created": "Wed, 31 Oct 2012 00:17:44 GMT",
"version": "v1"
}
] | 2013-09-25 | [
[
"Gregory",
"C. M.",
""
],
[
"Pinzul",
"A.",
""
]
] | We analyze the question of possible quantum corrections in the entropic scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical approximation for the spherical holographic screen, we analyze whether it is possible to observe such corrections to Newton's law in principle. The main outcome of our analysis is that without the complete knowledge of quantum dynamics of the microscopical degrees of freedom, any Plank scale correction cannot be trusted. Some perturbative corrections might produce reliable predictions well below the Plank scale. |
1511.02996 | Rafael Sorkin | Anushya Chandran, Chris Laumann, Rafael D. Sorkin | When is an area law not an area law? | plainTeX, 12 pages, 3 figures. A more current version may be
available at http://www.perimeterinstitute.ca/personal/rsorkin/some.papers/ | Entropy 2016, 18(7), 240 | 10.3390/e18070240 | null | hep-th cond-mat.other gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entanglement entropy is typically proportional to area, but sometimes it
acquires an additional logarithmic pre-factor. We offer some intuitive
explanations for these facts.
| [
{
"created": "Tue, 10 Nov 2015 05:38:28 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Chandran",
"Anushya",
""
],
[
"Laumann",
"Chris",
""
],
[
"Sorkin",
"Rafael D.",
""
]
] | Entanglement entropy is typically proportional to area, but sometimes it acquires an additional logarithmic pre-factor. We offer some intuitive explanations for these facts. |
hep-th/0605278 | Kamal Lochan Panigrahi | Rashmi R. Nayak, Kamal L. Panigrahi, Sanjay Siwach | Time-dependent supergravity solutions in null dilaton background | 11 pages, a typo is fixed in eqn 20. To appear in Phys. Lett. B | Phys.Lett.B640:214-218,2006 | 10.1016/j.physletb.2006.07.057 | GEF-TH-08/2006,SNUTP/06-005 | hep-th | null | A class of time dependent pp-waves with NS-NS flux in type IIA string theory
is considered. The background preserves 1/4 supersymmetry and may provide a toy
model of Big Bang cosmology with non trivial flux. At the Big Bang singularity
in early past, the string theory is strongly coupled and Matrix string model
can be used to describe the dynamics. We also construct some time dependent
supergravity solutions for D-branes and analyze their supersymmetry properties.
| [
{
"created": "Mon, 29 May 2006 14:26:08 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2006 12:43:25 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jul 2006 03:42:54 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Nayak",
"Rashmi R.",
""
],
[
"Panigrahi",
"Kamal L.",
""
],
[
"Siwach",
"Sanjay",
""
]
] | A class of time dependent pp-waves with NS-NS flux in type IIA string theory is considered. The background preserves 1/4 supersymmetry and may provide a toy model of Big Bang cosmology with non trivial flux. At the Big Bang singularity in early past, the string theory is strongly coupled and Matrix string model can be used to describe the dynamics. We also construct some time dependent supergravity solutions for D-branes and analyze their supersymmetry properties. |
1005.4719 | Sanefumi Moriyama | Isao Kishimoto, Sanefumi Moriyama | An Algebraic Model for the su(2|2) Light-Cone String Field Theory | 21 pages, LaTeX; v2: references added | JHEP 1008:013,2010 | 10.1007/JHEP08(2010)013 | YITP-10-39 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate algebraic structure of light-cone string field theory which
respects the spacetime supersymmetry su(2|2). Extracting building blocks from
the explicit oscillator expressions of light-cone superstring field theory on
the pp-wave and the flat background, we propose a model for more generic
backgrounds by giving an algebraic procedure to construct supercharges and
Hamiltonian without referring to explicit oscillator expressions. Based on this
strategy, we systematically construct interaction terms of light-cone string
field theory on the pp-wave background and some examples of its generalization.
We also study the supergravity limit of the interaction terms on the pp-wave
background.
| [
{
"created": "Wed, 26 May 2010 01:08:13 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2010 07:10:46 GMT",
"version": "v2"
}
] | 2011-06-24 | [
[
"Kishimoto",
"Isao",
""
],
[
"Moriyama",
"Sanefumi",
""
]
] | We investigate algebraic structure of light-cone string field theory which respects the spacetime supersymmetry su(2|2). Extracting building blocks from the explicit oscillator expressions of light-cone superstring field theory on the pp-wave and the flat background, we propose a model for more generic backgrounds by giving an algebraic procedure to construct supercharges and Hamiltonian without referring to explicit oscillator expressions. Based on this strategy, we systematically construct interaction terms of light-cone string field theory on the pp-wave background and some examples of its generalization. We also study the supergravity limit of the interaction terms on the pp-wave background. |
2308.15198 | Ben Webster | Davide Gaiotto, Justin Hilburn, Jaime Redondo-Yuste, Ben Webster,
Zheng Zhou | Twisted traces on abelian quantum Higgs and Coulomb branches | null | null | null | null | hep-th math-ph math.MP math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study twisted traces on the quantum Higgs branches
$A_{\operatorname{Higgs}}$ of $3d, \mathcal{N}=4$ gauge theories, that is, the
quantum Hamiltonian reductions of Weyl algebras. In theories which are good, we
define a twisted trace that arises naturally from the correlation functions of
the gauge theory. We show that this trace induces an inner product and a short
star product on $A_{\operatorname{Higgs}}$.
We analyze this trace in the case of an abelian gauge group and show that it
has a natural expansion in terms of the twisted traces of Verma modules,
confirming a conjecture of the first author and Okazaki. This expansion has a
natural interpretation in terms of 3-d mirror symmetry, and we predict that it
can be interpreted as an Atiyah-Bott fixed-point formula under the quantum
Hikita isomorphism.
| [
{
"created": "Tue, 29 Aug 2023 10:26:22 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2024 19:24:51 GMT",
"version": "v2"
}
] | 2024-03-26 | [
[
"Gaiotto",
"Davide",
""
],
[
"Hilburn",
"Justin",
""
],
[
"Redondo-Yuste",
"Jaime",
""
],
[
"Webster",
"Ben",
""
],
[
"Zhou",
"Zheng",
""
]
] | We study twisted traces on the quantum Higgs branches $A_{\operatorname{Higgs}}$ of $3d, \mathcal{N}=4$ gauge theories, that is, the quantum Hamiltonian reductions of Weyl algebras. In theories which are good, we define a twisted trace that arises naturally from the correlation functions of the gauge theory. We show that this trace induces an inner product and a short star product on $A_{\operatorname{Higgs}}$. We analyze this trace in the case of an abelian gauge group and show that it has a natural expansion in terms of the twisted traces of Verma modules, confirming a conjecture of the first author and Okazaki. This expansion has a natural interpretation in terms of 3-d mirror symmetry, and we predict that it can be interpreted as an Atiyah-Bott fixed-point formula under the quantum Hikita isomorphism. |
1912.02224 | Sangmin Choi | Sangmin Choi and Ratindranath Akhoury | Magnetic Soft Charges, Dual Supertranslations and 't Hooft Line
Dressings | 26 pages, 1 figure. Accepted for publication in Physical Review D | Phys. Rev. D 102, 025001 (2020) | 10.1103/PhysRevD.102.025001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the Faddeev-Kulish asymptotic states in a quantum field theory
of electric and magnetic charges. We find that there are two kind of dressings:
apart from the well known (electric) Wilson line dressing, there is a magnetic
counterpart which can be written as a 't Hooft line operator. The 't Hooft line
dressings are charged under the magnetic large gauge transformation (LGT), but
are neutral under electric LGT. This is in contrast to the Faddeev-Kulish
dressings of electrons, which can be written as a Wilson line operator and are
charged under electric LGT but neutral under magnetic LGT. With these dressings
and the corresponding construction of the coherent states, the infrared
finiteness of the theory of electric and magnetic charges is guaranteed. Even
in the absence of magnetic monopoles, the electric and magnetic soft modes
exhibit the electromagnetic duality of vacuum Maxwell theory. Using only the
asymptotic form of three-point interactions in a field theory of electric and
magnetic charges, we show that the leading magnetic dressings, like the leading
electric ones, are exact in the field theory of electric and magnetic charges,
in accordance with a conjecture of Strominger. We then extend the construction
to perturbative quantum gravity in asymptotically flat spacetime, and construct
gravitational 't Hooft line dressings that are charged under dual
supertranslations. The duality in the quantum theory between the electric and
magnetic soft charges and their dressings is thus made manifest.
| [
{
"created": "Wed, 4 Dec 2019 19:35:02 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 2019 18:15:24 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Jun 2020 23:06:55 GMT",
"version": "v3"
}
] | 2020-07-08 | [
[
"Choi",
"Sangmin",
""
],
[
"Akhoury",
"Ratindranath",
""
]
] | We construct the Faddeev-Kulish asymptotic states in a quantum field theory of electric and magnetic charges. We find that there are two kind of dressings: apart from the well known (electric) Wilson line dressing, there is a magnetic counterpart which can be written as a 't Hooft line operator. The 't Hooft line dressings are charged under the magnetic large gauge transformation (LGT), but are neutral under electric LGT. This is in contrast to the Faddeev-Kulish dressings of electrons, which can be written as a Wilson line operator and are charged under electric LGT but neutral under magnetic LGT. With these dressings and the corresponding construction of the coherent states, the infrared finiteness of the theory of electric and magnetic charges is guaranteed. Even in the absence of magnetic monopoles, the electric and magnetic soft modes exhibit the electromagnetic duality of vacuum Maxwell theory. Using only the asymptotic form of three-point interactions in a field theory of electric and magnetic charges, we show that the leading magnetic dressings, like the leading electric ones, are exact in the field theory of electric and magnetic charges, in accordance with a conjecture of Strominger. We then extend the construction to perturbative quantum gravity in asymptotically flat spacetime, and construct gravitational 't Hooft line dressings that are charged under dual supertranslations. The duality in the quantum theory between the electric and magnetic soft charges and their dressings is thus made manifest. |
2303.16678 | Umananda Dev Goswami | Swaraj Pratim Sarmah and Umananda Dev Goswami | Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity
Theory | 25 pages, 21 figures; Published version | Eur. Phys. J. C 84, 419 (2024) | 10.1140/epjc/s10052-024-12767-w | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the effect of diffusion of ultra-high energy cosmic ray (UHECR)
protons in the presence of turbulent magnetic fields in the light of the $f(R)$
theory of gravity. The $f(R)$ theory of gravity is a successful modified theory
of gravity in explaining the various aspects of the observable Universe
including its current state of expansion. Here, we consider the two most
studied $f(R)$ gravity models, viz., the power-law model and the Starobinsky
model. For these two models, the diffusive character of the propagation of
UHECR protons is explored in terms of their density enhancement (a measure of
how the density of UHECRs changes due to their diffusion and interactions in
the intergalactic medium). Ankle, instep, and Greisen-Zatsepin-Kuzmin cutoff
are spectral characteristics that extragalactic UHECRs acquire when they
propagate through the cosmic microwave background. All these characteristics
are analysed through the diffusive flux as well as its modification factor. We
compare the UHECR protons spectra calculated for the considered $f(R)$ gravity
models with the available data of the Telescope Array and Pierre Auger
Observatory. Both models of $f(R)$ gravity predict energy spectra of UHECRs
with all experimentally observed features, which lay well within the range of
combined data of both experiments. However, this work is only to investigate
the possible effects of $f(R)$ gravity theory on the UHECRs propagation, using
pure proton composition as a simplified case study. At this stage, our results
cannot be used to favour or disfavour the $f(R)$ cosmology over the
$\Lambda$CDM cosmology.
| [
{
"created": "Wed, 29 Mar 2023 13:30:37 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Feb 2024 16:34:39 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Apr 2024 04:46:41 GMT",
"version": "v3"
}
] | 2024-04-30 | [
[
"Sarmah",
"Swaraj Pratim",
""
],
[
"Goswami",
"Umananda Dev",
""
]
] | We study the effect of diffusion of ultra-high energy cosmic ray (UHECR) protons in the presence of turbulent magnetic fields in the light of the $f(R)$ theory of gravity. The $f(R)$ theory of gravity is a successful modified theory of gravity in explaining the various aspects of the observable Universe including its current state of expansion. Here, we consider the two most studied $f(R)$ gravity models, viz., the power-law model and the Starobinsky model. For these two models, the diffusive character of the propagation of UHECR protons is explored in terms of their density enhancement (a measure of how the density of UHECRs changes due to their diffusion and interactions in the intergalactic medium). Ankle, instep, and Greisen-Zatsepin-Kuzmin cutoff are spectral characteristics that extragalactic UHECRs acquire when they propagate through the cosmic microwave background. All these characteristics are analysed through the diffusive flux as well as its modification factor. We compare the UHECR protons spectra calculated for the considered $f(R)$ gravity models with the available data of the Telescope Array and Pierre Auger Observatory. Both models of $f(R)$ gravity predict energy spectra of UHECRs with all experimentally observed features, which lay well within the range of combined data of both experiments. However, this work is only to investigate the possible effects of $f(R)$ gravity theory on the UHECRs propagation, using pure proton composition as a simplified case study. At this stage, our results cannot be used to favour or disfavour the $f(R)$ cosmology over the $\Lambda$CDM cosmology. |
hep-th/0606007 | Kazuki Hasebe | Kazuki Hasebe | Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall
Liquid | 12 pages, no figures, published version in PRD | Phys.Rev.D74:045026,2006 | 10.1103/PhysRevD.74.045026 | null | hep-th cond-mat.mes-hall | null | We develop a supersymmetric extension of Chern-Simons theory and
Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid.
Supersymmetric counterparts of topological and gauge structures peculiar to the
Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We
also explore an effective field theoretical description for the supersymmetric
quantum Hall liquid. The key observation is the the charge-flux duality. Based
on the duality, we derive a dual supersymmetric Chern-Simons-Landau-Ginzburg
theory, and discuss physical properties of the topological excitations in
supersymmetric quantum Hall liquid.
| [
{
"created": "Thu, 1 Jun 2006 00:50:24 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2006 23:59:40 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Aug 2006 03:25:41 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hasebe",
"Kazuki",
""
]
] | We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topological and gauge structures peculiar to the Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We also explore an effective field theoretical description for the supersymmetric quantum Hall liquid. The key observation is the the charge-flux duality. Based on the duality, we derive a dual supersymmetric Chern-Simons-Landau-Ginzburg theory, and discuss physical properties of the topological excitations in supersymmetric quantum Hall liquid. |
0901.4970 | Tristan Hubsch | C.F. Doran, M.G. Faux, S.J. Gates, Jr., T. Hubsch, K.M. Iga, G.D.
Landweber | A Superfield for Every Dash-Chromotopology | 13 pages, integrated illustrations | Int.J.Mod.Phys.A24:5681-5695,2009 | 10.1142/S0217751X09047685 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recent classification scheme of so-called adinkraic off-shell
supermultiplets of N-extended worldline supersymmetry without central charges
finds a combinatorial explosion. Completing our earlier efforts, we now
complete the constructive proof that all of these trillions or more of
supermultiplets have a superfield representation. While different as
superfields and supermultiplets, these are still super-differentially related
to a much more modest number of minimal supermultiplets, which we construct
herein.
| [
{
"created": "Fri, 30 Jan 2009 20:20:37 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Doran",
"C. F.",
""
],
[
"Faux",
"M. G.",
""
],
[
"Gates,",
"S. J.",
"Jr."
],
[
"Hubsch",
"T.",
""
],
[
"Iga",
"K. M.",
""
],
[
"Landweber",
"G. D.",
""
]
] | The recent classification scheme of so-called adinkraic off-shell supermultiplets of N-extended worldline supersymmetry without central charges finds a combinatorial explosion. Completing our earlier efforts, we now complete the constructive proof that all of these trillions or more of supermultiplets have a superfield representation. While different as superfields and supermultiplets, these are still super-differentially related to a much more modest number of minimal supermultiplets, which we construct herein. |
2301.09456 | Alex Buchel | Alex Buchel | Hot Big Bang from inflation without the inflaton reheating | 10 pages, 1 figure. v2: refs and supplemental material added | null | 10.1016/j.physletb.2023.137883 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the standard lore, a prolonged inflation leaves a quantum field
theory in a cold, low entropy state. Thus, some mechanism is needed to reheat
this post-inflationary state, leaving a hot, thermal, radiation-dominated
Universe. Typically, reheating is achieved coupling the inflaton field to the
QFT degrees of freedom. We argue that the nonequilibrium dynamics of a
non-conformal QFT in (post-)inflationary background space-time can produce hot
quark-gluon plasma with the reheating temperature of order the inflationary
Hubble scale, without the inflaton coupling.
| [
{
"created": "Mon, 23 Jan 2023 14:27:40 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2023 13:22:45 GMT",
"version": "v2"
}
] | 2023-04-26 | [
[
"Buchel",
"Alex",
""
]
] | According to the standard lore, a prolonged inflation leaves a quantum field theory in a cold, low entropy state. Thus, some mechanism is needed to reheat this post-inflationary state, leaving a hot, thermal, radiation-dominated Universe. Typically, reheating is achieved coupling the inflaton field to the QFT degrees of freedom. We argue that the nonequilibrium dynamics of a non-conformal QFT in (post-)inflationary background space-time can produce hot quark-gluon plasma with the reheating temperature of order the inflationary Hubble scale, without the inflaton coupling. |
hep-th/9707076 | null | Wang-Chang Su | A Comment on Duality in SUSY SU(N) Gauge Theory with a Symmetric Tensor | 12 pages, LaTex, 1 figure | null | null | null | hep-th | null | We suggest an alternative approach to deconfine N =1 SU(N) supersymmetric
gauge theory with a symmetric tensor, fundamentals, anti-fundamentals, and no
superpotential. It is found that although the dual prescription derived by this
new method of deconfinement is different from that by the original method, both
dual prescriptions are connected by duality transformations. By deforming the
theory, it is shown that both dual theories flow properly so that the Seiberg's
duality is preserved.
| [
{
"created": "Tue, 8 Jul 1997 13:30:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Su",
"Wang-Chang",
""
]
] | We suggest an alternative approach to deconfine N =1 SU(N) supersymmetric gauge theory with a symmetric tensor, fundamentals, anti-fundamentals, and no superpotential. It is found that although the dual prescription derived by this new method of deconfinement is different from that by the original method, both dual prescriptions are connected by duality transformations. By deforming the theory, it is shown that both dual theories flow properly so that the Seiberg's duality is preserved. |
1704.03367 | Sabir Ramazanov Dr. | Eugeny Babichev and Sabir Ramazanov | Caustic free completion of pressureless perfect fluid and k-essence | 20 pages, 2 figures; clarifications and references added. Matches
published version | JHEP08(2017)040 | 10.1007/JHEP08(2017)040 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Both k-essence and the pressureless perfect fluid develop caustic
singularities at finite time. We further explore the connection between the two
and show that they belong to the same class of models, which admits the caustic
free completion by means of the canonical complex scalar field. Specifically,
the free massive/self-interacting complex scalar reproduces dynamics of
pressureless perfect fluid/shift-symmetric k-essence under certain initial
conditions in the limit of large mass/sharp self-interacting potential. We
elucidate a mechanism of resolving caustic singularities in the complete
picture. The collapse time is promoted to complex number. Hence, the
singularity is not developed in real time. The same conclusion holds for a
collection of collisionless particles modelled by means of the Schroedinger
equation, or ultra-light axions (generically, coherent oscillations of bosons
in the Bose--Einstein condensate state).
| [
{
"created": "Tue, 11 Apr 2017 15:36:41 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2017 14:06:44 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Sep 2017 15:02:57 GMT",
"version": "v3"
}
] | 2017-09-13 | [
[
"Babichev",
"Eugeny",
""
],
[
"Ramazanov",
"Sabir",
""
]
] | Both k-essence and the pressureless perfect fluid develop caustic singularities at finite time. We further explore the connection between the two and show that they belong to the same class of models, which admits the caustic free completion by means of the canonical complex scalar field. Specifically, the free massive/self-interacting complex scalar reproduces dynamics of pressureless perfect fluid/shift-symmetric k-essence under certain initial conditions in the limit of large mass/sharp self-interacting potential. We elucidate a mechanism of resolving caustic singularities in the complete picture. The collapse time is promoted to complex number. Hence, the singularity is not developed in real time. The same conclusion holds for a collection of collisionless particles modelled by means of the Schroedinger equation, or ultra-light axions (generically, coherent oscillations of bosons in the Bose--Einstein condensate state). |
hep-th/0402132 | Martin Rocek | Lilia Anguelova, Martin Rocek, Stefan Vandoren | Quantum Corrections to the Universal Hypermultiplet and Superspace | 23 pages | Phys.Rev. D70 (2004) 066001 | 10.1103/PhysRevD.70.066001 | ITP-UU-04/02, SPIN-04/02, YITP-04/04, MCTP-04/02 | hep-th | null | We investigate quantum corrections to the effective action of the universal
hypermultiplet in the language of projective superspace. We rederive the
recently found one-loop correction to the universal hypermultiplet moduli space
geometry. The deformed metric is described as a superspace action in terms of a
single function, homogeneous of first degree. Our framework leads us to a
natural proposal for the nonperturbative moduli space metric induced by
five-brane instantons.
| [
{
"created": "Tue, 17 Feb 2004 21:45:49 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Anguelova",
"Lilia",
""
],
[
"Rocek",
"Martin",
""
],
[
"Vandoren",
"Stefan",
""
]
] | We investigate quantum corrections to the effective action of the universal hypermultiplet in the language of projective superspace. We rederive the recently found one-loop correction to the universal hypermultiplet moduli space geometry. The deformed metric is described as a superspace action in terms of a single function, homogeneous of first degree. Our framework leads us to a natural proposal for the nonperturbative moduli space metric induced by five-brane instantons. |
1907.07979 | Iv\'an Guti\'errez-Sagredo | Ivan Gutierrez-Sagredo, Angel Ballesteros, Giulia Gubitosi, Francisco
J. Herranz | Quantum groups, non-commutative Lorentzian spacetimes and curved
momentum spaces | Based on the contribution presented at the "First Hermann Minkowski
Meeting on the Foundations of Spacetime Physics" held in Albena, Bulgaria,
May 15-18, 2017 | "Spacetime Physics 1907 - 2017". C. Duston and M. Holman (Eds).
Minkowski Institute Press, Montreal (2019), pp. 261-290. ISBN
978-1-927763-48-3 | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The essential features of a quantum group deformation of classical symmetries
of General Relativity in the case with non-vanishing cosmological constant
$\Lambda$ are presented. We fully describe (anti-)de Sitter non-commutative
spacetimes and curved momentum spaces in (1+1) and (2+1) dimensions arising
from the $\kappa$-deformed quantum group symmetries. These non-commutative
spacetimes are introduced semiclassically by means of a canonical Poisson
structure, the Sklyanin bracket, depending on the classical $r$-matrix defining
the $\kappa$-deformation, while curved momentum spaces are defined as orbits
generated by the $\kappa$-dual of the Hopf algebra of quantum symmetries.
Throughout this construction we use kinematical coordinates, in terms of which
the physical interpretation becomes more transparent, and the cosmological
constant $\Lambda$ is included as an explicit parameter whose $\Lambda
\rightarrow 0$ limit provides the Minkowskian case. The generalization of these
results to the physically relevant (3+1)-dimensional deformation is also
commented.
| [
{
"created": "Thu, 18 Jul 2019 10:46:59 GMT",
"version": "v1"
}
] | 2020-03-10 | [
[
"Gutierrez-Sagredo",
"Ivan",
""
],
[
"Ballesteros",
"Angel",
""
],
[
"Gubitosi",
"Giulia",
""
],
[
"Herranz",
"Francisco J.",
""
]
] | The essential features of a quantum group deformation of classical symmetries of General Relativity in the case with non-vanishing cosmological constant $\Lambda$ are presented. We fully describe (anti-)de Sitter non-commutative spacetimes and curved momentum spaces in (1+1) and (2+1) dimensions arising from the $\kappa$-deformed quantum group symmetries. These non-commutative spacetimes are introduced semiclassically by means of a canonical Poisson structure, the Sklyanin bracket, depending on the classical $r$-matrix defining the $\kappa$-deformation, while curved momentum spaces are defined as orbits generated by the $\kappa$-dual of the Hopf algebra of quantum symmetries. Throughout this construction we use kinematical coordinates, in terms of which the physical interpretation becomes more transparent, and the cosmological constant $\Lambda$ is included as an explicit parameter whose $\Lambda \rightarrow 0$ limit provides the Minkowskian case. The generalization of these results to the physically relevant (3+1)-dimensional deformation is also commented. |
1007.0749 | John Dixon | John A. Dixon | A Note on Symmetric Mass and Interaction Terms for Weyl Spinors and SUSY | 13 pages, Some Minor Changes in Notation, and Typographical Errors
Corrected | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One can always write the mass matrix for Weyl spinors so that it is
symmetric. However this is often not a good idea. It is usually incompatible
with irreducibility of the fermion representations. As a result, a symmetrized
mass term hides important symmetries and creates misleading difficulties that
are not genuinely part of the theory. This is true for the Standard Model for
example, and for its supersymmetric versions. There is a related subtlety,
involving symmetrization of the interaction terms, that is central to the SUSY
breaking mechanism of Cybersusy.
| [
{
"created": "Mon, 5 Jul 2010 19:43:37 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2010 15:23:32 GMT",
"version": "v2"
}
] | 2010-07-13 | [
[
"Dixon",
"John A.",
""
]
] | One can always write the mass matrix for Weyl spinors so that it is symmetric. However this is often not a good idea. It is usually incompatible with irreducibility of the fermion representations. As a result, a symmetrized mass term hides important symmetries and creates misleading difficulties that are not genuinely part of the theory. This is true for the Standard Model for example, and for its supersymmetric versions. There is a related subtlety, involving symmetrization of the interaction terms, that is central to the SUSY breaking mechanism of Cybersusy. |
0705.1847 | Alejandra Castro | Alejandra Castro, Joshua L. Davis, Per Kraus and Finn Larsen | Precision Entropy of Spinning Black Holes | 30 pages. v2: typos corrected | JHEP 0709:003,2007 | 10.1088/1126-6708/2007/09/003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct spinning black hole solutions in five dimensions that take into
account the mixed gauge-gravitational Chern-Simons term and its supersymmetric
completion. The resulting entropy formula is discussed from several points of
view. We include a Taub-NUT base space in order to test recent conjectures
relating 5D black holes to 4D black holes and the topological string. Our
explicit results show that certain charge shifts have to be taken into account
for these relations to hold. We also compute corrections to the entropy of
black rings in terms of near horizon data.
| [
{
"created": "Sun, 13 May 2007 19:18:17 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2008 01:58:29 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Castro",
"Alejandra",
""
],
[
"Davis",
"Joshua L.",
""
],
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
]
] | We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view. We include a Taub-NUT base space in order to test recent conjectures relating 5D black holes to 4D black holes and the topological string. Our explicit results show that certain charge shifts have to be taken into account for these relations to hold. We also compute corrections to the entropy of black rings in terms of near horizon data. |
2209.05171 | Shodai Kushiro | Shodai Kushiro and Kentaroh Yoshida | Chaotic string motion in a near pp-wave limit | 17 pages, 5 figures | null | 10.1007/JHEP01(2023)065 | KUNS-2942 | hep-th nlin.CD | http://creativecommons.org/licenses/by/4.0/ | We revisit classical string motion in a near pp-wave limit of
AdS$_5\times$S$^5$. It is known that the Toda lattice models are integrable.
But if the exponential potential is truncated at finite order, then the system
may become non-integrable. In particular, when the exponential potential in a
three-particle periodic Toda chain is truncated at the third order of the
dynamical variables, the resulting system becomes a well-known non-integrable
system, Henon-Heiles model. The same thing may happen in a near pp-wave limit
of AdS$_5\times$S$^5$, on which the classical string motion becomes chaotic.
| [
{
"created": "Mon, 12 Sep 2022 11:59:08 GMT",
"version": "v1"
}
] | 2023-02-01 | [
[
"Kushiro",
"Shodai",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We revisit classical string motion in a near pp-wave limit of AdS$_5\times$S$^5$. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a three-particle periodic Toda chain is truncated at the third order of the dynamical variables, the resulting system becomes a well-known non-integrable system, Henon-Heiles model. The same thing may happen in a near pp-wave limit of AdS$_5\times$S$^5$, on which the classical string motion becomes chaotic. |
hep-th/0508090 | Matteo Beccaria | Matteo Beccaria | D0-brane tension in string field theory | 13 pages, 3 Eps figures | JHEP 0509 (2005) 021 | 10.1088/1126-6708/2005/09/021 | null | hep-th | null | We compute the D0-brane tension in string field theory by representing it as
a tachyon lump of the D1-brane compactified on a circle of radius $R$. To this
aim, we calculate the lump solution in level truncation up to level L=8. The
normalized D0-brane tension is independent on $R$. The compactification radius
is therefore chosen in order to cancel the subleading correction $1/L^2$. We
show that an optimal radius $R^*$ indeed exists and that at $R^*$ the
theoretical prediction for the tension is reproduced at the level of $10^{-5}$.
As a byproduct of our calculation we also discuss the determination of the
marginal tachyon field at $R\to 1$.
| [
{
"created": "Fri, 12 Aug 2005 10:27:01 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Beccaria",
"Matteo",
""
]
] | We compute the D0-brane tension in string field theory by representing it as a tachyon lump of the D1-brane compactified on a circle of radius $R$. To this aim, we calculate the lump solution in level truncation up to level L=8. The normalized D0-brane tension is independent on $R$. The compactification radius is therefore chosen in order to cancel the subleading correction $1/L^2$. We show that an optimal radius $R^*$ indeed exists and that at $R^*$ the theoretical prediction for the tension is reproduced at the level of $10^{-5}$. As a byproduct of our calculation we also discuss the determination of the marginal tachyon field at $R\to 1$. |
2104.10416 | Sergei Kuzenko | Sergei M. Kuzenko and Emmanouil S. N. Raptakis | Extended superconformal higher-spin gauge theories in four dimensions | 31 pages; V3: title changed, references and comments added, a new
section included, accepted for publication in JHEP | null | 10.1007/JHEP12(2021)210 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in
four dimensions, we describe superconformal higher-spin multiplets of conserved
currents in a curved background and present their associated unconstrained
gauge prepotentials. The latter are used to construct locally superconformal
chiral actions, which are demonstrated to be gauge invariant in arbitrary
conformally flat backgrounds. The main ${\cal N}=2$ results are then
generalised to the ${\cal N}$-extended case. We also present the
gauge-invariant field strengths for on-shell massless higher-spin ${\cal N}=2$
supermultiplets in anti-de Sitter space. These field strengths prove to furnish
representations of the ${\cal N}=2$ superconformal group.
| [
{
"created": "Wed, 21 Apr 2021 08:51:58 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2021 02:19:41 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Dec 2021 14:05:34 GMT",
"version": "v3"
}
] | 2022-01-19 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Raptakis",
"Emmanouil S. N.",
""
]
] | Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main ${\cal N}=2$ results are then generalised to the ${\cal N}$-extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin ${\cal N}=2$ supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the ${\cal N}=2$ superconformal group. |
1212.2998 | Sean A. Hartnoll | Aristomenis Donos, Sean A. Hartnoll | Metal-insulator transition in holography | 1+17+5 pages, 5 figures. v2: references added, contextualization of
results expanded | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We exhibit an interaction-driven metal-insulator quantum phase transition in
a holographic model. Use of a helical lattice enables us to break translation
invariance while preserving homogeneity. The metallic phase is characterized by
a sharp Drude peak and a d.c. resistivity that increases with temperature. In
the insulating phase the Drude spectral weight is transferred into a
`mid-infrared' peak and to energy scales of order the chemical potential. The
d.c. resistivity now decreases with temperature. In the metallic phase,
operators breaking translation invariance are irrelevant at low energy scales.
In the insulating phase, translation symmetry breaking effects are present at
low energies. We find the near horizon extremal geometry that captures the
insulating physics.
| [
{
"created": "Wed, 12 Dec 2012 22:04:11 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jan 2013 07:43:38 GMT",
"version": "v2"
}
] | 2013-01-22 | [
[
"Donos",
"Aristomenis",
""
],
[
"Hartnoll",
"Sean A.",
""
]
] | We exhibit an interaction-driven metal-insulator quantum phase transition in a holographic model. Use of a helical lattice enables us to break translation invariance while preserving homogeneity. The metallic phase is characterized by a sharp Drude peak and a d.c. resistivity that increases with temperature. In the insulating phase the Drude spectral weight is transferred into a `mid-infrared' peak and to energy scales of order the chemical potential. The d.c. resistivity now decreases with temperature. In the metallic phase, operators breaking translation invariance are irrelevant at low energy scales. In the insulating phase, translation symmetry breaking effects are present at low energies. We find the near horizon extremal geometry that captures the insulating physics. |
hep-th/9207007 | Fabian Essler | Fabian H.L. Essler and Vladimir E. Korepin | A New Solution of the Supersymmetric TJ Model by Means of the Quantum
Inverse Scattering Method | 25 pages, using the jytex macro package, ITP-SB-92-12 | null | null | null | hep-th | null | We construct the enveloping fundamental spin model of the t-J hamiltonian
using the Quantum Inverse Scattering Method (QISM), and present all three
possible Algebraic Bethe Ans\"atze. Two of the solutions have been previously
obtained in the framework of Coordinate Space Bethe Ansatz by Sutherland and by
Schlottmann and Lai, whereas the third solution is new. The formulation of the
model in terms of the QISM enables us to derive explicit expressions for higher
conservation laws.
| [
{
"created": "Fri, 3 Jul 1992 01:45:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Essler",
"Fabian H. L.",
""
],
[
"Korepin",
"Vladimir E.",
""
]
] | We construct the enveloping fundamental spin model of the t-J hamiltonian using the Quantum Inverse Scattering Method (QISM), and present all three possible Algebraic Bethe Ans\"atze. Two of the solutions have been previously obtained in the framework of Coordinate Space Bethe Ansatz by Sutherland and by Schlottmann and Lai, whereas the third solution is new. The formulation of the model in terms of the QISM enables us to derive explicit expressions for higher conservation laws. |
hep-th/0512208 | Wolfgang Lerche | S. Govindarajan, H. Jockers, W.Lerche, N. Warner | Tachyon Condensation on the Elliptic Curve | 69p, 6 figs, harvmac; v2: minor changes | Nucl.Phys.B765:240-286,2007 | 10.1016/j.nuclphysb.2006.12.009 | CERN PH-TH/2005-259 | hep-th | null | We use the framework of matrix factorizations to study topological B-type
D-branes on the cubic curve. Specifically, we elucidate how the brane RR
charges are encoded in the matrix factors, by analyzing their structure in
terms of sections of vector bundles in conjunction with equivariant R-symmetry.
One particular advantage of matrix factorizations is that explicit moduli
dependence is built in, thus giving us full control over the open-string moduli
space. It allows one to study phenomena like discontinuous jumps of the
cohomology over the moduli space, as well as formation of bound states at
threshold. One interesting aspect is that certain gauge symmetries inherent to
the matrix formulation lead to a non-trivial global structure of the moduli
space. We also investigate topological tachyon condensation, which enables us
to construct, in a systematic fashion, higher-dimensional matrix factorizations
out of smaller ones; this amounts to obtaining branes with higher RR charges as
composites of ones with minimal charges. As an application, we explicitly
construct all rank-two matrix factorizations.
| [
{
"created": "Fri, 16 Dec 2005 16:27:32 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2006 14:17:29 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Govindarajan",
"S.",
""
],
[
"Jockers",
"H.",
""
],
[
"Lerche",
"W.",
""
],
[
"Warner",
"N.",
""
]
] | We use the framework of matrix factorizations to study topological B-type D-branes on the cubic curve. Specifically, we elucidate how the brane RR charges are encoded in the matrix factors, by analyzing their structure in terms of sections of vector bundles in conjunction with equivariant R-symmetry. One particular advantage of matrix factorizations is that explicit moduli dependence is built in, thus giving us full control over the open-string moduli space. It allows one to study phenomena like discontinuous jumps of the cohomology over the moduli space, as well as formation of bound states at threshold. One interesting aspect is that certain gauge symmetries inherent to the matrix formulation lead to a non-trivial global structure of the moduli space. We also investigate topological tachyon condensation, which enables us to construct, in a systematic fashion, higher-dimensional matrix factorizations out of smaller ones; this amounts to obtaining branes with higher RR charges as composites of ones with minimal charges. As an application, we explicitly construct all rank-two matrix factorizations. |
hep-th/9110063 | null | Michael Crescimanno | Fusion Potentials for G_k and Handle Squashing | (24 pages) | Nucl.Phys. B393 (1993) 361-376 | 10.1016/0550-3213(93)90249-O | null | hep-th | null | Using Chern-Simons gauge theory, we show that the fusion ring of the
conformal field theory G_k is isomorphic to P(u)/(\del V), where V is a
polynomial in u and (\del V) is the ideal generated by the conditions \del V=0.
We also derive a residue-like formula for the correlation functions in the
Chern-Simons theory thus providing a RCFT version of the residue formula for
the TLG models. An operator that acts like the measure in the residue formula
has the ionterpretation of a handle squashing operator and an explicit formula
for this operator is given.
| [
{
"created": "Tue, 22 Oct 1991 14:51:45 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Crescimanno",
"Michael",
""
]
] | Using Chern-Simons gauge theory, we show that the fusion ring of the conformal field theory G_k is isomorphic to P(u)/(\del V), where V is a polynomial in u and (\del V) is the ideal generated by the conditions \del V=0. We also derive a residue-like formula for the correlation functions in the Chern-Simons theory thus providing a RCFT version of the residue formula for the TLG models. An operator that acts like the measure in the residue formula has the ionterpretation of a handle squashing operator and an explicit formula for this operator is given. |
hep-th/9510053 | David M. Kaplan | David M. Kaplan and Jeremy Michelson | Zero Modes for the D=11 Membrane and Five-Brane | Minor typos corrected, one reference added, agrees with published
version. 9 RevTeX pages, 1 figure included | Phys.Rev.D53:3474-3476,1996 | 10.1103/PhysRevD.53.3474 | null | hep-th | null | There exist extremal p-brane solutions of $D\!=\!11$ supergravity for
p=2~and~5. In this paper we investigate the zero modes of the membrane and the
five-brane solutions as a first step toward understanding the full quantum
theory of these objects. It is found that both solutions possess the correct
number of normalizable zero modes dictated by supersymmetry.
| [
{
"created": "Tue, 10 Oct 1995 01:42:40 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 1996 22:01:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kaplan",
"David M.",
""
],
[
"Michelson",
"Jeremy",
""
]
] | There exist extremal p-brane solutions of $D\!=\!11$ supergravity for p=2~and~5. In this paper we investigate the zero modes of the membrane and the five-brane solutions as a first step toward understanding the full quantum theory of these objects. It is found that both solutions possess the correct number of normalizable zero modes dictated by supersymmetry. |
hep-th/0209260 | James Sparks | James Sparks | Anomalous Couplings in M-Theory and String Theory | 15 pages, no figures; minor changes, reference added | JHEP 0307 (2003) 042 | 10.1088/1126-6708/2003/07/042 | QMUL-PH-02-19 | hep-th | null | We explore how various anomaly-cancelling terms in M-theory and string theory
transform non-trivially into each other under duality. Specifically, we study
the phenomenon in which bulk terms in M-theory get mapped to brane worldvolume
terms in string theory. The key mathematical ingredient is G-index theory.
| [
{
"created": "Mon, 30 Sep 2002 17:42:20 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2002 16:41:22 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sparks",
"James",
""
]
] | We explore how various anomaly-cancelling terms in M-theory and string theory transform non-trivially into each other under duality. Specifically, we study the phenomenon in which bulk terms in M-theory get mapped to brane worldvolume terms in string theory. The key mathematical ingredient is G-index theory. |
hep-th/0409044 | So Matsuura | Shinpei Kobayashi (RESCEU), Tsuguhiko Asakawa (RIKEN) and So Matsuura
(RIKEN) | Open String Tachyon in Supergravity Solution | 20 pages, no figures, LaTeX2e, typos corrected, references added and
more general result presented | Mod.Phys.Lett. A20 (2005) 1119-1134 | 10.1142/S0217732305017354 | RESCEU-32/04, UTAP-497, RIKEN-TH-30 | hep-th gr-qc | null | We study the tachyon condensation of the D-\bar{D}-brane system with a
constant tachyon vev in the context of classical solutions of the Type II
supergravity. We find that the general solution with the symmetry
ISO(1,p)xSO(9-p) (the three-parameter solution) includes the extremal black
p-brane solution as an appropriate limit of the solution with fixing one of the
three parameters (c_1). Furthermore, we compare the long distance behavior of
the solution with the massless modes of the closed strings from the boundary
state of the D-\bar{D}-brane system with a constant tachyon vev. We find that
we must fix c_1 to zero and the only two parameters are needed to express the
tachyon condensation of the D\={D}-brane system. This means that the parameter
$c_1$ does not correspond to the tachyon vev of the D\={D}-brane system.
| [
{
"created": "Fri, 3 Sep 2004 13:47:52 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2004 07:17:51 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2004 10:27:32 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Jun 2005 09:31:05 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Kobayashi",
"Shinpei",
"",
"RESCEU"
],
[
"Asakawa",
"Tsuguhiko",
"",
"RIKEN"
],
[
"Matsuura",
"So",
"",
"RIKEN"
]
] | We study the tachyon condensation of the D-\bar{D}-brane system with a constant tachyon vev in the context of classical solutions of the Type II supergravity. We find that the general solution with the symmetry ISO(1,p)xSO(9-p) (the three-parameter solution) includes the extremal black p-brane solution as an appropriate limit of the solution with fixing one of the three parameters (c_1). Furthermore, we compare the long distance behavior of the solution with the massless modes of the closed strings from the boundary state of the D-\bar{D}-brane system with a constant tachyon vev. We find that we must fix c_1 to zero and the only two parameters are needed to express the tachyon condensation of the D\={D}-brane system. This means that the parameter $c_1$ does not correspond to the tachyon vev of the D\={D}-brane system. |
1508.06642 | Mina Aganagic | Mina Aganagic | String Theory and Math: Why This Marriage May Last | Notes for the lecture at the Current Events special session of the
2015 Joint Mathematics Meetings in San Antonio. Article to appear in the
Bulletin of the American Mathematical Society. 24 pages, 7 figures | null | null | null | hep-th math-ph math.AG math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | String theory is changing the relationship between mathematics and physics.
The central role is played by the phenomenon of duality, which is intrinsic to
quantum physics and abundant in string theory.
| [
{
"created": "Wed, 26 Aug 2015 20:10:16 GMT",
"version": "v1"
}
] | 2015-08-28 | [
[
"Aganagic",
"Mina",
""
]
] | String theory is changing the relationship between mathematics and physics. The central role is played by the phenomenon of duality, which is intrinsic to quantum physics and abundant in string theory. |
1709.10085 | Anton Ilderton | Anton Ilderton, Daniel Seipt | Back-reaction on background fields: a coherent state approach | 16 pages, 6 pdf figures | Phys. Rev. D 97, 016007 (2018) | 10.1103/PhysRevD.97.016007 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are many situations in which a strong electromagnetic field may be
approximated as a fixed background. Going beyond this approximation, i.e.
accounting for the back-reaction of quantum process on the field, is however
challenging. Here we develop an approach to this problem which is a
straightforward extension of background field methods. The approach follows
from the observation that scattering in an on-shell background is equivalent to
scattering between coherent states; we show that by deforming these states one
can model back-reaction. Focussing on intense laser-matter interactions, we
provide examples which model beam depletion and, furthermore, introduce an
extremisation principle with which to determine the level of depletion in a
given scattering process.
| [
{
"created": "Thu, 28 Sep 2017 17:49:35 GMT",
"version": "v1"
}
] | 2018-01-24 | [
[
"Ilderton",
"Anton",
""
],
[
"Seipt",
"Daniel",
""
]
] | There are many situations in which a strong electromagnetic field may be approximated as a fixed background. Going beyond this approximation, i.e. accounting for the back-reaction of quantum process on the field, is however challenging. Here we develop an approach to this problem which is a straightforward extension of background field methods. The approach follows from the observation that scattering in an on-shell background is equivalent to scattering between coherent states; we show that by deforming these states one can model back-reaction. Focussing on intense laser-matter interactions, we provide examples which model beam depletion and, furthermore, introduce an extremisation principle with which to determine the level of depletion in a given scattering process. |
2006.10834 | Steven B. Giddings | Steven B. Giddings | Schr\"odinger evolution of the Hawking state | 20 pages. v2: references added, minor corrections/clarifications | Phys. Rev. D 102, 125022 (2020) | 10.1103/PhysRevD.102.125022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Schr\"odinger-picture description of the evolving quantum state of Hawking
radiation is given, based on an ADM decomposition using time slicings that
smoothly cross the horizon. This treatment avoids requiring a role for
trans-planckian modes, which can be viewed as artifacts of Hawking's original
calculation, and also supports arguments that radiation from black holes is
produced in a "quantum atmosphere" with thickness comparable to the horizon
size, rather than microscopically far from it. Particularly explicit formulas
are given for the two-dimensional analog of the Schwarzschild geometry. This
analysis is expected to generalize to other black holes, and to cosmology. The
resulting quantum evolution also provides important background for
investigating corrections to the Hawking process, as are necessary for
restoring unitary evolution of black hole decay.
| [
{
"created": "Thu, 18 Jun 2020 19:59:58 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Nov 2020 16:37:56 GMT",
"version": "v2"
}
] | 2021-01-04 | [
[
"Giddings",
"Steven B.",
""
]
] | A Schr\"odinger-picture description of the evolving quantum state of Hawking radiation is given, based on an ADM decomposition using time slicings that smoothly cross the horizon. This treatment avoids requiring a role for trans-planckian modes, which can be viewed as artifacts of Hawking's original calculation, and also supports arguments that radiation from black holes is produced in a "quantum atmosphere" with thickness comparable to the horizon size, rather than microscopically far from it. Particularly explicit formulas are given for the two-dimensional analog of the Schwarzschild geometry. This analysis is expected to generalize to other black holes, and to cosmology. The resulting quantum evolution also provides important background for investigating corrections to the Hawking process, as are necessary for restoring unitary evolution of black hole decay. |
1811.00213 | Kallol Sen | Carlos Cardona, Sunny Guha, Surya Kiran Kanumilli and Kallol Sen | Resummation at finite conformal spin | Typos corrected, references added. JHEP version | J. High Energ. Phys. (2019) 2019: 77 | 10.1007/JHEP01(2019)077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the computation of anomalous dimension and correction to OPE
coefficients at finite conformal spin considered recently in
\cite{arXiv:1806.10919, arXiv:1808.00612} to arbitrary space-time dimensions.
By using the inversion formula of Caron-Huot and the integral (Mellin)
representation of conformal blocks, we show that the contribution from
individual exchanges to anomalous dimensions and corrections to the OPE
coefficients for "double-twist" operators
$[\mathcal{O}_1\mathcal{O}_2]_{\Delta,J}$ in $s-$channel can be written at
finite conformal spin in terms of generalized Wilson polynomials. This approach
is democratic {\it wrt} space-time dimensions, thus generalizing the earlier
findings to cases where closed form expressions of the conformal blocks are not
available.
| [
{
"created": "Thu, 1 Nov 2018 03:53:17 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 02:27:46 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Apr 2019 04:09:04 GMT",
"version": "v3"
}
] | 2019-04-04 | [
[
"Cardona",
"Carlos",
""
],
[
"Guha",
"Sunny",
""
],
[
"Kanumilli",
"Surya Kiran",
""
],
[
"Sen",
"Kallol",
""
]
] | We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in \cite{arXiv:1806.10919, arXiv:1808.00612} to arbitrary space-time dimensions. By using the inversion formula of Caron-Huot and the integral (Mellin) representation of conformal blocks, we show that the contribution from individual exchanges to anomalous dimensions and corrections to the OPE coefficients for "double-twist" operators $[\mathcal{O}_1\mathcal{O}_2]_{\Delta,J}$ in $s-$channel can be written at finite conformal spin in terms of generalized Wilson polynomials. This approach is democratic {\it wrt} space-time dimensions, thus generalizing the earlier findings to cases where closed form expressions of the conformal blocks are not available. |
hep-th/0408097 | Frieder Kleefeld | F. Kleefeld (CFIF, IST, Lisbon, Portugal) | Non-Hermitian Quantum Theory and its Holomorphic Representation:
Introduction and Applications | 9 pages, no figures; invited contribution to the 2nd International
Workshop on "Pseudo-Hermitian Hamiltonians in Quantum Physics", Villa Lanna,
Prague, Czech Republic, June 14-16, 2004, to be published in the proceedings | null | null | FK-2004-3 | hep-th | null | This article contains a short summary of an oral presentation in the 2nd
International Workshop on "Pseudo-Hermitian Hamiltonians in Quantum Physics"
(14.-16.6.2004, Villa Lanna, Prague, Czech Republic). The purpose of the
presentation has been to introduce a non-Hermitian generalization of
pseudo-Hermitian Quantum Theory allowing to reconcile the orthogonal concepts
of causality, Poincare invariance, analyticity, and locality. We conclude by
considering interesting applications like non-Hermitian supersymmetry.
| [
{
"created": "Thu, 12 Aug 2004 05:19:28 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Aug 2004 20:13:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kleefeld",
"F.",
"",
"CFIF, IST, Lisbon, Portugal"
]
] | This article contains a short summary of an oral presentation in the 2nd International Workshop on "Pseudo-Hermitian Hamiltonians in Quantum Physics" (14.-16.6.2004, Villa Lanna, Prague, Czech Republic). The purpose of the presentation has been to introduce a non-Hermitian generalization of pseudo-Hermitian Quantum Theory allowing to reconcile the orthogonal concepts of causality, Poincare invariance, analyticity, and locality. We conclude by considering interesting applications like non-Hermitian supersymmetry. |
hep-th/9611148 | Alexander Sorin | A. Sorin | The Discrete Symmetry of the N=2 Supersymmetric Modified NLS Hierarchy | 10 pages, latex, no figures, some misprints corrected | Phys.Lett. B395 (1997) 218-224 | 10.1016/S0370-2693(97)00061-0 | JINR E2-96-428 | hep-th | null | A few new N=2 superintegrable mappings in the (1|2) superspace are proposed
and their origin is analyzed. Using one of them, acting like the discrete
symmetry transformation of the N=2 supersymmetric modified NLS hierarchy, the
recursion operator and hamiltonian structures of the hierarchy are constructed.
| [
{
"created": "Tue, 19 Nov 1996 19:14:59 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 1996 17:49:37 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Dec 1996 09:09:01 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Jan 1997 09:13:43 GMT",
"version": "v4"
}
] | 2009-10-30 | [
[
"Sorin",
"A.",
""
]
] | A few new N=2 superintegrable mappings in the (1|2) superspace are proposed and their origin is analyzed. Using one of them, acting like the discrete symmetry transformation of the N=2 supersymmetric modified NLS hierarchy, the recursion operator and hamiltonian structures of the hierarchy are constructed. |
0810.3815 | Lev Lipatov | L.N.Lipatov | BFKL Pomeron and Bern-Dixon-Smirnov amplitudes in N=4 SUSY | 15 pages, LateX, 2-eps figures; Talk at the International Conference
"Quarks-08", May 2008, Sergiev Pasad, Russia | null | null | DESY-08-153 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the theoretical approaches for investigations of the high energy
hadron-hadron scattering in the Regge kinematics. It is demonstrated, that the
gluon in QCD is reggeized and the Pomeron is a composite state of the reggeized
gluons. Remarkable properties of the BFKL equation for the Pomeron wave
function in QCD and supersymmetric gauge theories are outlined. Due to the
AdS/CFT correspondence the BFKL Pomeron is equivalent to the reggeized graviton
in the extended N=4 SUSY. The properties of the maximal transcendentality and
integrability are realized in this model. The BDS multi-gluon scattering
amplitudes are investigated in the Regge limit. They do not contain the
Mandelstam cuts and are not valid beyond one loop. It is shown, that the
hamiltonian for these composite states coincides with the hamiltonian of an
integrable open Heisenberg spin chain.
| [
{
"created": "Tue, 21 Oct 2008 12:54:47 GMT",
"version": "v1"
}
] | 2008-10-22 | [
[
"Lipatov",
"L. N.",
""
]
] | We review the theoretical approaches for investigations of the high energy hadron-hadron scattering in the Regge kinematics. It is demonstrated, that the gluon in QCD is reggeized and the Pomeron is a composite state of the reggeized gluons. Remarkable properties of the BFKL equation for the Pomeron wave function in QCD and supersymmetric gauge theories are outlined. Due to the AdS/CFT correspondence the BFKL Pomeron is equivalent to the reggeized graviton in the extended N=4 SUSY. The properties of the maximal transcendentality and integrability are realized in this model. The BDS multi-gluon scattering amplitudes are investigated in the Regge limit. They do not contain the Mandelstam cuts and are not valid beyond one loop. It is shown, that the hamiltonian for these composite states coincides with the hamiltonian of an integrable open Heisenberg spin chain. |
hep-th/9403105 | Nicolai Reshetikhin | Nicolai Reshetikhin | Quasitriangularity of quantum groups at roots of 1 | 23 pages | Commun.Math.Phys. 170 (1995) 79-100 | 10.1007/BF02099440 | null | hep-th math.QA | null | An important property of a Hopf algebra is its quasitriangularity and it is
useful various applications. This property is investigated for quantum groups
$sl_2$ at roots of 1. It is shown that different forms of the quantum group
$sl_2$ at roots of 1 are either quasitriangular or have similar structure which
will be called autoquasitriangularity. In the most interesting cases this
property means that "braiding automorphism" is a combination of some Poisson
transformation and an adjoint transformation with certain element of the tensor
square of the algebra.
| [
{
"created": "Fri, 18 Mar 1994 01:54:07 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Reshetikhin",
"Nicolai",
""
]
] | An important property of a Hopf algebra is its quasitriangularity and it is useful various applications. This property is investigated for quantum groups $sl_2$ at roots of 1. It is shown that different forms of the quantum group $sl_2$ at roots of 1 are either quasitriangular or have similar structure which will be called autoquasitriangularity. In the most interesting cases this property means that "braiding automorphism" is a combination of some Poisson transformation and an adjoint transformation with certain element of the tensor square of the algebra. |
2009.05852 | Jorge Gamboa | Jorge Gamboa and Justo Lopez-Sarrion | Non-Perturbative Aspects of Spontaneous Symmetry Breaking | corrections and new section added | Int.J.Mod.Phys.A 36 (2021) 13 | 10.1142/S0217751X21500743 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar
quantum field theory, that is when $E\approx m$ (or infrared limit). In this
limit we show that a $ \varphi^4$ theory in the euclidean space in
four-dimensions describes naturally instantons. Furthermore, in the infrared
limit we show that there is an exact map between $ \varphi^4$ with self-dual
Yang-Mills theories. The spontaneous symmetry breaking in the infrared limit
for a Higgs portal is also considered and we demonstrate how states of higher
energy becomes unstable and spread converting a false vacuum in a true one.
| [
{
"created": "Sat, 12 Sep 2020 19:12:51 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jul 2021 20:52:11 GMT",
"version": "v2"
}
] | 2021-07-13 | [
[
"Gamboa",
"Jorge",
""
],
[
"Lopez-Sarrion",
"Justo",
""
]
] | Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar quantum field theory, that is when $E\approx m$ (or infrared limit). In this limit we show that a $ \varphi^4$ theory in the euclidean space in four-dimensions describes naturally instantons. Furthermore, in the infrared limit we show that there is an exact map between $ \varphi^4$ with self-dual Yang-Mills theories. The spontaneous symmetry breaking in the infrared limit for a Higgs portal is also considered and we demonstrate how states of higher energy becomes unstable and spread converting a false vacuum in a true one. |
hep-th/0602111 | Marios Petropoulos | J.-P. Derendinger, C. Kounnas, P.M. Petropoulos | Fluxes, Gaugings and Gaugino Condensates | 17 pages, CP | J.Phys.Conf.Ser.53:611-620,2006 | 10.1088/1742-6596/53/1/037 | NEIP-06-03, LPTENS-06/03, CPTH-RR011.0206 | hep-th | null | Based on the correspondence between the N = 1 superstring compactifications
with fluxes and the N = 4 gauged supergravities, we study effective N = 1
four-dimensional supergravity potentials arising from fluxes and gaugino
condensates in the framework of orbifold limits of (generalized) Calabi-Yau
compactifications. We give examples in heterotic and type II orientifolds in
which combined fluxes and condensates lead to vacua with small supersymmetry
breaking scale. We clarify the respective roles of fluxes and condensates in
supersymmetry breaking, and analyze the scaling properties of the gravitino
mass.
| [
{
"created": "Fri, 10 Feb 2006 22:01:13 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Derendinger",
"J. -P.",
""
],
[
"Kounnas",
"C.",
""
],
[
"Petropoulos",
"P. M.",
""
]
] | Based on the correspondence between the N = 1 superstring compactifications with fluxes and the N = 4 gauged supergravities, we study effective N = 1 four-dimensional supergravity potentials arising from fluxes and gaugino condensates in the framework of orbifold limits of (generalized) Calabi-Yau compactifications. We give examples in heterotic and type II orientifolds in which combined fluxes and condensates lead to vacua with small supersymmetry breaking scale. We clarify the respective roles of fluxes and condensates in supersymmetry breaking, and analyze the scaling properties of the gravitino mass. |
hep-th/0207178 | Raul Rabadan | Raul Rabadan, Frederic Zamora | Dilaton tadpoles and D-brane interactions in compact spaces | 27 pages, 5 figures. Minor corrections | JHEP 0212 (2002) 052 | 10.1088/1126-6708/2002/12/052 | CERN-TH/2002-158 | hep-th | null | We analyse some physical consequences when supersymmetry is broken by a set
of D-branes and/or orientifold planes in Type II string theories. Generically,
there are global dilaton tadpoles at the disk level when the transverse space
is compact. By taking the toy model of a set of electric charges in a compact
space, we discuss two different effects appearing when global tadpoles are not
cancelled. On the compact directions a constant term appears that allows to
solve the equations of motion. On the non-compact directions Poincar\'e
invariance is broken. We analyse some examples where the Poincar\'e invariance
is broken along the time direction (cosmological models).After that, we discuss
how to obtain a finite interaction between D-branes and orientifold planes in
the compact space at the supergravity level.
| [
{
"created": "Fri, 19 Jul 2002 10:29:14 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Aug 2002 16:44:58 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Dec 2002 10:52:36 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Rabadan",
"Raul",
""
],
[
"Zamora",
"Frederic",
""
]
] | We analyse some physical consequences when supersymmetry is broken by a set of D-branes and/or orientifold planes in Type II string theories. Generically, there are global dilaton tadpoles at the disk level when the transverse space is compact. By taking the toy model of a set of electric charges in a compact space, we discuss two different effects appearing when global tadpoles are not cancelled. On the compact directions a constant term appears that allows to solve the equations of motion. On the non-compact directions Poincar\'e invariance is broken. We analyse some examples where the Poincar\'e invariance is broken along the time direction (cosmological models).After that, we discuss how to obtain a finite interaction between D-branes and orientifold planes in the compact space at the supergravity level. |
1403.4933 | Andrew Singleton | Andrew Singleton | Superconformal quantum mechanics and the exterior algebra | 15 pages, 1 figure | JHEP 1406 (2014) 131 | 10.1007/JHEP06(2014)131 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the differential form representation of N = (n,n) supersymmetric
quantum mechanics to the superconformal case. We identify the superalgebras
occurring for n = 1,2,4, give necessary and sufficient conditions for their
existence, and give explicit geometric constructions of their generators and
commutation relations. Quantum mechanics on the moduli space of instantons is
considered as an example.
| [
{
"created": "Wed, 19 Mar 2014 20:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Sep 2014 13:46:06 GMT",
"version": "v2"
}
] | 2014-09-12 | [
[
"Singleton",
"Andrew",
""
]
] | We extend the differential form representation of N = (n,n) supersymmetric quantum mechanics to the superconformal case. We identify the superalgebras occurring for n = 1,2,4, give necessary and sufficient conditions for their existence, and give explicit geometric constructions of their generators and commutation relations. Quantum mechanics on the moduli space of instantons is considered as an example. |
hep-th/9610132 | Thomas A. DeGrand | T. DeGrand (U. of Colorado) | Nonperturbative Quantum Field Theory on the Lattice | 60 pages, LaTeX file. Postscript figures embedded using epsf.
Lectures presented at 1996 TASI Summer School, TASI96 | null | null | COLO-HEP-377 | hep-th hep-lat | null | These lectures provide an introduction to lattice methods for nonperturbative
studies of quantum field theories, with an emphasis on Quantum Chromodynamics.
Lecture 1 (Ch. 2): gauge field basics
Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple
lattice intuition
Lecture 3 (Ch. 5): standard methods (and results) for hadron spectroscopy
Lecture 4 (Ch. 6): bare actions and physics
Lecture 5 (Ch. 7): two case studies, mass of the glueball and $\alpha_s(M_Z)$
| [
{
"created": "Thu, 17 Oct 1996 15:41:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"DeGrand",
"T.",
"",
"U. of Colorado"
]
] | These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple lattice intuition Lecture 3 (Ch. 5): standard methods (and results) for hadron spectroscopy Lecture 4 (Ch. 6): bare actions and physics Lecture 5 (Ch. 7): two case studies, mass of the glueball and $\alpha_s(M_Z)$ |
hep-th/9405091 | Stephen S. Pinsky | Stephen Pinsky | The Light-Cone Field Theory Paradigm for Spontaneous Symmetry Breaking | 17 pages Talk given at Hadron Structure '93, Banska Strianvnica
Slovakia, September 5-10, 1993 based on Notes by Oliver Schnetz and Klaus
Lucke, Institut f\"ur theoretische Physik III, Erlangen of lectures presented
to the Graduiertenkoleg Erlangen-Regensburg on May 26, 1993 | null | null | OHSTPY-HEPT-TH-93-15 | hep-th | null | In the first part of this lecture I will give an introduction to light-cone
field theory, focussing on the ``zero mode problem''. In the second part I
discuss $\phi^4$-theory in 1+1 dimensions. I will show how the dynamics of the
zero modes can give rise to spontaneous symmetry breaking in spite of the
trivial vacuum structure on the light-cone.
| [
{
"created": "Fri, 13 May 1994 19:35:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pinsky",
"Stephen",
""
]
] | In the first part of this lecture I will give an introduction to light-cone field theory, focussing on the ``zero mode problem''. In the second part I discuss $\phi^4$-theory in 1+1 dimensions. I will show how the dynamics of the zero modes can give rise to spontaneous symmetry breaking in spite of the trivial vacuum structure on the light-cone. |
hep-th/9705162 | Chris Hull | C.M. Hull | Gravitational Duality, Branes and Charges | 54 pages, TeX, Phyzzx Macro. Added reference | Nucl.Phys. B509 (1998) 216-251 | 10.1016/S0550-3213(97)00501-4 | QMW-97-16, NI97028-NQF | hep-th gr-qc | null | It is argued that D=10 type II strings and M-theory in D=11 have D-5 branes
and 9-branes that are not standard p-branes coupled to anti-symmetric tensors.
The global charges in a D-dimensional theory of gravity consist of a momentum
$P_M$ and a dual D-5 form charge $K_{M_1...M_{D-5}}$, which is related to the
NUT charge. On dimensional reduction, P gives the electric charge and K the
magnetic charge of the graviphoton. The charge K is constructed and shown to
occur in the superalgebra and BPS bounds in $D\ge 5$, and leads to a NUT-charge
modification of the BPS bound in D=4. $K$ is carried by Kaluza-Klein monopoles,
which can be regarded as D-5 branes. Supersymmetry and U-duality imply that the
type IIB theory has (p,q) 9-branes. Orientifolding with 32 (0,1) 9-branes gives
the type I string, while modding out by a related discrete symmetry with 32
(1,0) 9-branes gives the SO(32) heterotic string. Symmetry enhancement, the
effective world-volume theories and the possibility of a twelve dimensional
origin are discussed.
| [
{
"created": "Wed, 21 May 1997 19:23:41 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 1997 18:00:40 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jun 1997 14:52:14 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Hull",
"C. M.",
""
]
] | It is argued that D=10 type II strings and M-theory in D=11 have D-5 branes and 9-branes that are not standard p-branes coupled to anti-symmetric tensors. The global charges in a D-dimensional theory of gravity consist of a momentum $P_M$ and a dual D-5 form charge $K_{M_1...M_{D-5}}$, which is related to the NUT charge. On dimensional reduction, P gives the electric charge and K the magnetic charge of the graviphoton. The charge K is constructed and shown to occur in the superalgebra and BPS bounds in $D\ge 5$, and leads to a NUT-charge modification of the BPS bound in D=4. $K$ is carried by Kaluza-Klein monopoles, which can be regarded as D-5 branes. Supersymmetry and U-duality imply that the type IIB theory has (p,q) 9-branes. Orientifolding with 32 (0,1) 9-branes gives the type I string, while modding out by a related discrete symmetry with 32 (1,0) 9-branes gives the SO(32) heterotic string. Symmetry enhancement, the effective world-volume theories and the possibility of a twelve dimensional origin are discussed. |
2209.11051 | Yusuke Mikura | Minxi He, Yusuke Mikura, Yuichiro Tada | Hybrid metric-Palatini Higgs inflation | 18 pages, 1 figure; v2 matches the published version in JCAP | JCAP05(2023)047 | 10.1088/1475-7516/2023/05/047 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an extension of the Higgs inflation to the hybrid metric-Palatini
gravity, where we introduce non-minimal couplings between Higgs and both the
metric-type and the Palatini-type Ricci scalars. We study the inflationary
phenomenology of our model and find that slow-roll inflation can be realized in
the large-field regime, giving the observationally favored predictions. In
particular, the scalar spectral index exhibits an attractor behavior to
$n_{\mathrm{s}}\sim 0.964$, while the tensor-to-scalar ratio can take an
arbitrary value depending on the non-minimal coupling parameters, with the
metric-Higgs limit $r\sim10^{-3}$ being the maximum. We also investigate the
unitarity property of our model. As the ultraviolet (UV) cutoff as a low-energy
effective field theory (EFT) of this model is significantly lower than the
Planck scale due to a strong curvature of field-space, we consider a possible
candidate of UV-extended theories with an additional scalar field introduced so
as to flatten the field-space in five-dimension. While the field-space can be
flatten completely and this approach can lead to a weakly-coupled EFT, we gain
an implication that Planck-scale EFT can be only realized in the limit of
metric-Higgs inflation. We also discuss generalizations of the model up to
mass-dimension four.
| [
{
"created": "Thu, 22 Sep 2022 14:45:49 GMT",
"version": "v1"
},
{
"created": "Mon, 29 May 2023 07:44:23 GMT",
"version": "v2"
}
] | 2023-05-30 | [
[
"He",
"Minxi",
""
],
[
"Mikura",
"Yusuke",
""
],
[
"Tada",
"Yuichiro",
""
]
] | We propose an extension of the Higgs inflation to the hybrid metric-Palatini gravity, where we introduce non-minimal couplings between Higgs and both the metric-type and the Palatini-type Ricci scalars. We study the inflationary phenomenology of our model and find that slow-roll inflation can be realized in the large-field regime, giving the observationally favored predictions. In particular, the scalar spectral index exhibits an attractor behavior to $n_{\mathrm{s}}\sim 0.964$, while the tensor-to-scalar ratio can take an arbitrary value depending on the non-minimal coupling parameters, with the metric-Higgs limit $r\sim10^{-3}$ being the maximum. We also investigate the unitarity property of our model. As the ultraviolet (UV) cutoff as a low-energy effective field theory (EFT) of this model is significantly lower than the Planck scale due to a strong curvature of field-space, we consider a possible candidate of UV-extended theories with an additional scalar field introduced so as to flatten the field-space in five-dimension. While the field-space can be flatten completely and this approach can lead to a weakly-coupled EFT, we gain an implication that Planck-scale EFT can be only realized in the limit of metric-Higgs inflation. We also discuss generalizations of the model up to mass-dimension four. |
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