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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1905.03548 | Hans Jockers | Hans Jockers and Peter Mayr | Quantum K-Theory of Calabi-Yau Manifolds | 25p, v2: references added | null | 10.1007/JHEP11(2019)011 | BONN-TH-2019-03, LMU-ASC 19/19 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The disk partition function of certain 3d N=2 supersymmetric gauge theories
computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d
gauge theory/quantum K-theory correspondence for global and local Calabi-Yau
manifolds with several Kahler moduli. We propose a multi-cover formula that
relates the 3d BPS world-volume degeneracies computed by quantum K-theory to
Gopakumar-Vafa invariants.
| [
{
"created": "Thu, 9 May 2019 11:41:36 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jul 2019 08:30:19 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Jockers",
"Hans",
""
],
[
"Mayr",
"Peter",
""
]
] | The disk partition function of certain 3d N=2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several Kahler moduli. We propose a multi-cover formula that relates the 3d BPS world-volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants. |
2003.10634 | Aleksei Shishmarev | V. G. Bagrov, D. M. Gitman, A. A. Shishmarev and A. J. D. Farias Jr | Quantum states of electromagnetic field interacting with a classical
current and their applications to radiation problems | 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the beginning, the synchrotron radiation (SR) was studied by classical
methods using the Li\'{e}nard-Wiechert potentials of electric currents.
Subsequently, quantum corrections to the obtained classical formulas were
studied, considering the emission of photons arising from electronic
transitions between spectral levels, described in terms of the Dirac equation.
In this paper, we consider an intermediate approach, in which electric currents
generating the radiation are considered classically, whereas the quantum nature
of the radiation is taken into account exactly. Such an approximate approach
may be helpful in some cases, it allows one to study the one-photon and
multi-photon radiation without complicating calculations using corresponding
solutions of the Dirac equation. We construct exact quantum states of the
electromagnetic field interacting with classical currents and study their
properties. By their help, we calculate a probability of photon emission by
classical currents and obtain relatively simple formulas for the one-photon and
multi-photon radiation. Using the specific circular electric current, we
calculate the corresponding SR. We discuss a relation of obtained results with
known before, for example, with the Schott formula, with the Schwinger
calculations, with one-photon radiation of scalar particles due to transitions
between Landau levels, and with some previous results of calculating the
two-photon SR.
| [
{
"created": "Tue, 24 Mar 2020 03:19:22 GMT",
"version": "v1"
}
] | 2020-03-25 | [
[
"Bagrov",
"V. G.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shishmarev",
"A. A.",
""
],
[
"Farias",
"A. J. D.",
"Jr"
]
] | In the beginning, the synchrotron radiation (SR) was studied by classical methods using the Li\'{e}nard-Wiechert potentials of electric currents. Subsequently, quantum corrections to the obtained classical formulas were studied, considering the emission of photons arising from electronic transitions between spectral levels, described in terms of the Dirac equation. In this paper, we consider an intermediate approach, in which electric currents generating the radiation are considered classically, whereas the quantum nature of the radiation is taken into account exactly. Such an approximate approach may be helpful in some cases, it allows one to study the one-photon and multi-photon radiation without complicating calculations using corresponding solutions of the Dirac equation. We construct exact quantum states of the electromagnetic field interacting with classical currents and study their properties. By their help, we calculate a probability of photon emission by classical currents and obtain relatively simple formulas for the one-photon and multi-photon radiation. Using the specific circular electric current, we calculate the corresponding SR. We discuss a relation of obtained results with known before, for example, with the Schott formula, with the Schwinger calculations, with one-photon radiation of scalar particles due to transitions between Landau levels, and with some previous results of calculating the two-photon SR. |
hep-th/9312118 | Jean Avan | A. Jevicki and J. Rodrigues | Loop Space Hamiltonians And Field Theory Of Non-Critical Strings | 23 pages; phyzztex; Misprints corrected and Tex fonts added | Nucl.Phys. B421 (1994) 278-292 | 10.1016/0550-3213(94)90329-8 | het827 and lptens 93-52 | hep-th | null | We consider the loop space representation of multi-matrix models. Explaining
the origin of a time variable through stochastic quantization we make contact
with recent proposals of Ishibashi and Kawai. We demonstrate how collective
field theory with its loop space interactions generates a field theory of
non-critical strings.
| [
{
"created": "Tue, 14 Dec 1993 16:17:50 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 1993 16:33:19 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Jevicki",
"A.",
""
],
[
"Rodrigues",
"J.",
""
]
] | We consider the loop space representation of multi-matrix models. Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai. We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings. |
1403.6837 | Barak Kol | Barak Kol and Ruth Shir | Color structures and permutations | 22 pages. v2: minor changes. v3: JHEP published version. Additional
examples and explanations | null | 10.1007/JHEP11(2014)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Color structures for tree level scattering amplitudes in gauge theory are
studied in order to determine the symmetry properties of the color-ordered
sub-amplitudes. We mathematically formulate the space of color structures
together with the action of permuting external legs. The character generating
functions are presented from the mathematical literature and we determine the
decomposition into irreducible representations. Mathematically, free Lie
algebras and the Lie operad are central. A study of the implications for
sub-amplitudes is initiated and we prove directly that both the Parke-Taylor
amplitudes and Cachazo-He-Yuan amplitudes satisfy the Kleiss-Kuijf relations.
| [
{
"created": "Wed, 26 Mar 2014 20:00:23 GMT",
"version": "v1"
},
{
"created": "Sun, 4 May 2014 18:42:03 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Nov 2014 08:59:25 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Kol",
"Barak",
""
],
[
"Shir",
"Ruth",
""
]
] | Color structures for tree level scattering amplitudes in gauge theory are studied in order to determine the symmetry properties of the color-ordered sub-amplitudes. We mathematically formulate the space of color structures together with the action of permuting external legs. The character generating functions are presented from the mathematical literature and we determine the decomposition into irreducible representations. Mathematically, free Lie algebras and the Lie operad are central. A study of the implications for sub-amplitudes is initiated and we prove directly that both the Parke-Taylor amplitudes and Cachazo-He-Yuan amplitudes satisfy the Kleiss-Kuijf relations. |
1208.1108 | Tomoki Nosaka | Tomoki Nosaka and Seiji Terashima | M5-branes in ABJM theory and Nahm equation | 22 pages, 4 figures, minor corrections, references added | null | 10.1103/PhysRevD.86.125027 | YITP-12-64 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct BPS solutions representing M2-M5 bound state in the ABJM action
explicitly. They include the funnel type solutions and 't Hooft Polyakov
monopole solutions. Furthermore, we give a one to one correspondence between
the solutions of the BPS equation and the ones of an extended Nahm equation
which includes the Nahm equation. This enables us to construct infinitely many
conserved quantities from the Lax form of the Nahm equation.
| [
{
"created": "Mon, 6 Aug 2012 08:13:04 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2012 05:27:03 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Nosaka",
"Tomoki",
""
],
[
"Terashima",
"Seiji",
""
]
] | We construct BPS solutions representing M2-M5 bound state in the ABJM action explicitly. They include the funnel type solutions and 't Hooft Polyakov monopole solutions. Furthermore, we give a one to one correspondence between the solutions of the BPS equation and the ones of an extended Nahm equation which includes the Nahm equation. This enables us to construct infinitely many conserved quantities from the Lax form of the Nahm equation. |
1702.08273 | Dave Dunbar | David C. Dunbar, John H. Godwin, Guy R. Jehu and Warren B. Perkins | Diagrammar in an Extended Theory of Gravity | spelling corrected; citations added with comments | null | 10.1016/j.physletb.2017.05.052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the $S$-matrix of an extended theory of gravity defined by its
three-point amplitudes can be constructed by demanding factorisation. The
resultant $S$-matrix has tree amplitudes obeying the same soft singularity
theorems as Einstein gravity including the sub-sub-leading terms.
| [
{
"created": "Mon, 27 Feb 2017 13:23:49 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2017 12:17:44 GMT",
"version": "v2"
}
] | 2017-05-24 | [
[
"Dunbar",
"David C.",
""
],
[
"Godwin",
"John H.",
""
],
[
"Jehu",
"Guy R.",
""
],
[
"Perkins",
"Warren B.",
""
]
] | We show how the $S$-matrix of an extended theory of gravity defined by its three-point amplitudes can be constructed by demanding factorisation. The resultant $S$-matrix has tree amplitudes obeying the same soft singularity theorems as Einstein gravity including the sub-sub-leading terms. |
1503.08347 | Leandro Nascimento | Leandro O. Nascimento, Van S\'ergio Alves, Francisco Pe\~na, C. Morais
Smith, and E. C. Marino | Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite
Temperature | 10 pages and 4 figures | null | 10.1103/PhysRevD.92.025018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the Schwinger-Dyson equations in the presence of a thermal bath, in
order to study chiral symmetry breaking in a system of massless Dirac fermions
interacting through pseudo quantum electrodynamics (PQED3), in (2+1)
dimensions. We show that there is a critical temperature $T_c$, below which
chiral symmetry is broken, and a corresponding mass gap is dynamically
generated, provided the coupling is above a certain, temperature dependent,
critical value $\alpha_c$. The ratio between the energy gap and the critical
temperature for this model is estimated to be $2 \pi$. These results are
confirmed by analytical and numerical investigations of the Schwinger-Dyson
equation for the electron. In addition, we calculate the first
finite-temperature corrections to the static Coulomb interaction. The relevance
of this result in the realm of condensed matter systems, like graphene, is
briefly discussed.
| [
{
"created": "Sat, 28 Mar 2015 20:58:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 21:20:26 GMT",
"version": "v2"
}
] | 2015-11-06 | [
[
"Nascimento",
"Leandro O.",
""
],
[
"Alves",
"Van Sérgio",
""
],
[
"Peña",
"Francisco",
""
],
[
"Smith",
"C. Morais",
""
],
[
"Marino",
"E. C.",
""
]
] | We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We show that there is a critical temperature $T_c$, below which chiral symmetry is broken, and a corresponding mass gap is dynamically generated, provided the coupling is above a certain, temperature dependent, critical value $\alpha_c$. The ratio between the energy gap and the critical temperature for this model is estimated to be $2 \pi$. These results are confirmed by analytical and numerical investigations of the Schwinger-Dyson equation for the electron. In addition, we calculate the first finite-temperature corrections to the static Coulomb interaction. The relevance of this result in the realm of condensed matter systems, like graphene, is briefly discussed. |
hep-th/9612209 | Mauri Miettinen | Mauri Miettinen (Uppsala University) | Weil Algebras and Supersymmetry | 12 pages, LaTeX | null | null | UU-ITP27/96 | hep-th | null | We give a new interpretation for the super loop space that has been used to
formulate supersymmetry. The fermionic coordinates in the super loop space are
identified as the odd generators of the Weil algebra. Their bosonic
superpartners are the auxiliary fields. The general N=1 supermultiplet is
interpreted in terms of Weil algebras. As specific examples we consider
supersymmetric quantum mechanics, Wess-Zumino model and supersymmetric
Yang-Mills theory in four dimensions. Some comments on the formulation of
constrained systems and integrable models and non-Abelian localization are
given.
| [
{
"created": "Fri, 20 Dec 1996 09:56:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Miettinen",
"Mauri",
"",
"Uppsala University"
]
] | We give a new interpretation for the super loop space that has been used to formulate supersymmetry. The fermionic coordinates in the super loop space are identified as the odd generators of the Weil algebra. Their bosonic superpartners are the auxiliary fields. The general N=1 supermultiplet is interpreted in terms of Weil algebras. As specific examples we consider supersymmetric quantum mechanics, Wess-Zumino model and supersymmetric Yang-Mills theory in four dimensions. Some comments on the formulation of constrained systems and integrable models and non-Abelian localization are given. |
1905.09921 | Mykola Semenyakin | A. Marshakov, M. Semenyakin | Cluster integrable systems and spin chains | 48 pages | J. High Energ. Phys. 2019, 100 (2019) | 10.1007/JHEP10(2019)100 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss relation between the cluster integrable systems and spin chains in
the context of their correspondence with 5d supersymmetric gauge theories. It
is shown that $\mathfrak{gl}_N$ XXZ-type spin chain on $M$ sites is isomorphic
to a cluster integrable system with $N \times M$ rectangular Newton polygon and
$N \times M$ fundamental domain of a 'fence net' bipartite graph. The Casimir
functions of the Poisson bracket, labeled by the zig-zag paths on the graph,
correspond to the inhomogeneities, on-site Casimirs and twists of the chain,
supplemented by total spin. The symmetricity of cluster formulation implies
natural spectral duality, relating $\mathfrak{gl}_N$-chain on $M$ sites with
the $\mathfrak{gl}_M$-chain on $N$ sites. For these systems we construct
explicitly a subgroup of the cluster mapping class group
$\mathcal{G}_\mathcal{Q}$ and show that it acts by permutations of zig-zags
and, as a consequence, by permutations of twists and inhomogeneities. Finally,
we derive Hirota bilinear equations, describing dynamics of the tau-functions
or A-cluster variables under the action of some generators of
$\mathcal{G}_\mathcal{Q}$.
| [
{
"created": "Thu, 23 May 2019 20:59:30 GMT",
"version": "v1"
}
] | 2021-06-02 | [
[
"Marshakov",
"A.",
""
],
[
"Semenyakin",
"M.",
""
]
] | We discuss relation between the cluster integrable systems and spin chains in the context of their correspondence with 5d supersymmetric gauge theories. It is shown that $\mathfrak{gl}_N$ XXZ-type spin chain on $M$ sites is isomorphic to a cluster integrable system with $N \times M$ rectangular Newton polygon and $N \times M$ fundamental domain of a 'fence net' bipartite graph. The Casimir functions of the Poisson bracket, labeled by the zig-zag paths on the graph, correspond to the inhomogeneities, on-site Casimirs and twists of the chain, supplemented by total spin. The symmetricity of cluster formulation implies natural spectral duality, relating $\mathfrak{gl}_N$-chain on $M$ sites with the $\mathfrak{gl}_M$-chain on $N$ sites. For these systems we construct explicitly a subgroup of the cluster mapping class group $\mathcal{G}_\mathcal{Q}$ and show that it acts by permutations of zig-zags and, as a consequence, by permutations of twists and inhomogeneities. Finally, we derive Hirota bilinear equations, describing dynamics of the tau-functions or A-cluster variables under the action of some generators of $\mathcal{G}_\mathcal{Q}$. |
1905.08265 | Teppei Shimaji | Pawel Caputa, Tokiro Numasawa, Teppei Shimaji, Tadashi Takayanagi,
Zixia Wei | Double Local Quenches in 2D CFTs and Gravitational Force | 80pages, 50figures; v2: minor corrections, v3: explanations added in
section 7, minor corrections | JHEP 09 (2019) 018 | 10.1007/JHEP09(2019)018 | YITP-19-41, IPMU19-0077 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we extensively study the dynamics of excited states created by
instantaneous local quenches at two different points, i.e., double local
quenches. We focus on setups in two dimensional holographic and free Dirac
fermion CFTs. We calculate the energy stress tensor and entanglement entropy
for double joining and splitting local quenches. In the splitting local
quenches we find an interesting oscillating behaviors. Finally, we study the
energy stress tensor in double operator local quenches. In all these examples,
we find that, in general, there are non-trivial interactions between the two
local quenches. Especially, in holographic CFTs, the differences of the above
quantities between the double local quench and the simple sum of two local
quenches tend to be negative. We interpret this behavior as merely due to
gravitational force in their gravity duals.
| [
{
"created": "Mon, 20 May 2019 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 04:19:07 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Aug 2019 01:42:43 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Caputa",
"Pawel",
""
],
[
"Numasawa",
"Tokiro",
""
],
[
"Shimaji",
"Teppei",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Wei",
"Zixia",
""
]
] | In this work we extensively study the dynamics of excited states created by instantaneous local quenches at two different points, i.e., double local quenches. We focus on setups in two dimensional holographic and free Dirac fermion CFTs. We calculate the energy stress tensor and entanglement entropy for double joining and splitting local quenches. In the splitting local quenches we find an interesting oscillating behaviors. Finally, we study the energy stress tensor in double operator local quenches. In all these examples, we find that, in general, there are non-trivial interactions between the two local quenches. Especially, in holographic CFTs, the differences of the above quantities between the double local quench and the simple sum of two local quenches tend to be negative. We interpret this behavior as merely due to gravitational force in their gravity duals. |
hep-th/0207036 | Anjan Kundu Dr. | Anjan Kundu | New nonultralocal quantum integrable models through gauge transformation | Latex, 8 pages, no figure | null | null | SINP/TNP/21-02 | hep-th | null | One of the few schemes for obtaining an integrable nonultralocal quantum
model is its possible generation from an ultralocal model by a suitable gauge
transformation. Applying this scheme we discover two new nonultralocal models,
which fit well into the braided Yang-Baxter relations ensuring their quantum
integrability. Our first model is generated from a lattice Liouville-like
system, while the second one which is an exact lattice version of the
light-cone sine-Gordon is gauge transformed from a model, which gives also the
quantum mKdV for a different gauge choice.
| [
{
"created": "Thu, 4 Jul 2002 04:35:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kundu",
"Anjan",
""
]
] | One of the few schemes for obtaining an integrable nonultralocal quantum model is its possible generation from an ultralocal model by a suitable gauge transformation. Applying this scheme we discover two new nonultralocal models, which fit well into the braided Yang-Baxter relations ensuring their quantum integrability. Our first model is generated from a lattice Liouville-like system, while the second one which is an exact lattice version of the light-cone sine-Gordon is gauge transformed from a model, which gives also the quantum mKdV for a different gauge choice. |
1104.2621 | Daniel Harlow | Daniel Harlow, Douglas Stanford | Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT | 21 pages plus appendices, 6 figures, typos corrected | null | null | SU-ITP 11/22 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk
partition function with respect to boundary conditions, or extrapolate bulk
correlation functions to the boundary. These dictionaries were conjectured to
be equivalent by Banks, Douglas, Horowitz, and Martinec. We revisit this
question at the level of bulk path integrals, showing that agreement in the
presence of interactions requires careful treatment of the renormalization of
bulk composite operators. By contrast, we emphasize that proposed dS/CFT
analogues of the two dictionaries are inequivalent. Next, we show quite
generally that the wave function for Euclidean AdS analytically continues to
the dS wave function with Euclidean initial conditions. Most of our arguments
consider interacting fields on a fixed background, but in a final section we
discuss the inclusion of bulk dynamical gravity.
| [
{
"created": "Wed, 13 Apr 2011 20:55:14 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2011 00:07:23 GMT",
"version": "v2"
}
] | 2011-04-22 | [
[
"Harlow",
"Daniel",
""
],
[
"Stanford",
"Douglas",
""
]
] | Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk partition function with respect to boundary conditions, or extrapolate bulk correlation functions to the boundary. These dictionaries were conjectured to be equivalent by Banks, Douglas, Horowitz, and Martinec. We revisit this question at the level of bulk path integrals, showing that agreement in the presence of interactions requires careful treatment of the renormalization of bulk composite operators. By contrast, we emphasize that proposed dS/CFT analogues of the two dictionaries are inequivalent. Next, we show quite generally that the wave function for Euclidean AdS analytically continues to the dS wave function with Euclidean initial conditions. Most of our arguments consider interacting fields on a fixed background, but in a final section we discuss the inclusion of bulk dynamical gravity. |
1903.08631 | Konstantinos Koutrolikos | I. L. Buchbinder, S. James Gates Jr., K. Koutrolikos | Superfield continuous spin equations of motion | null | null | 10.1016/j.physletb.2019.05.015 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a description of %manifestly supersymmetric continuous spin
representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of
equations of motions. The usual continuous spin wave function is promoted to a
chiral or a complex linear superfield which includes both the single-valued
(span integer helicities) and the double-valued (span half-integer helicities)
representations thus making their connection under supersymmetry manifest. The
set of proposed superspace constraints for both superfield generate the
expected Wigner's conditions for both representations.
| [
{
"created": "Wed, 20 Mar 2019 17:28:11 GMT",
"version": "v1"
}
] | 2019-05-22 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Gates",
"S. James",
"Jr."
],
[
"Koutrolikos",
"K.",
""
]
] | We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a complex linear superfield which includes both the single-valued (span integer helicities) and the double-valued (span half-integer helicities) representations thus making their connection under supersymmetry manifest. The set of proposed superspace constraints for both superfield generate the expected Wigner's conditions for both representations. |
0708.0483 | Roberto Casadio | G. L. Alberghi, C. Appignani, R. Casadio, F. Sbis\'a and A. Tronconi | Inflation and the semiclassical dynamics of a conformal scalar field | 10 pages, REVTeX, no figures. Final version accepted for publication
in PRD | Phys.Rev.D77:044002,2008 | 10.1103/PhysRevD.77.044002 | null | hep-th astro-ph gr-qc | null | We derive the semiclassical evolution of massless conformally coupled scalar
matter in the de Sitter space-time from the Born-Oppenheimer reduction of the
Wheeler-DeWitt equation. We find a remarkable difference with respect to the
minimally coupled case: the effect of the quantum gravitational corrections do
not depend on the momentum of the scalar mode up to second order in the Planck
length and, therefore, there are no relevant corrections to the dispersion
relation.
| [
{
"created": "Fri, 3 Aug 2007 09:58:23 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2007 15:56:25 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Alberghi",
"G. L.",
""
],
[
"Appignani",
"C.",
""
],
[
"Casadio",
"R.",
""
],
[
"Sbisá",
"F.",
""
],
[
"Tronconi",
"A.",
""
]
] | We derive the semiclassical evolution of massless conformally coupled scalar matter in the de Sitter space-time from the Born-Oppenheimer reduction of the Wheeler-DeWitt equation. We find a remarkable difference with respect to the minimally coupled case: the effect of the quantum gravitational corrections do not depend on the momentum of the scalar mode up to second order in the Planck length and, therefore, there are no relevant corrections to the dispersion relation. |
hep-th/9603143 | Paul Watts | Paul Watts (Department of Physics, University of Miami) | Toward a q-Deformed Standard Model | Version to appear in J. Geom. Phys. -reorganized and shortened, with
minor stylistic changes | J.Geom.Phys. 24 (1997) 61-81 | 10.1016/S0393-0440(97)00006-5 | UMTG-189 | hep-th math.QA q-alg | null | A gauge theory with an underlying SU_q(2) quantum group symmetry is
introduced, and its properties examined. With suitable assumptions, this model
is found to have many similarities with the usual SU(2)\times U(1) Standard
Model, specifically, the existence of four generators and thus four gauge
fields. However, the two classical symmetries are unified into one quantum
symmetry, and therefore there is only a single coupling constant, rather than
two. By incorporating a Higgs sector into the model, one obtains several
explicit tree-level predictions in the undeformed limit, such as the Weinberg
angle: $sin^2\Theta_{W} = 3/11$. With the Z-boson mass m_Z and fine structure
constant alpha as inputs, one can also obtain predictions for the weak coupling
constant, the mass of the W, and the Higgs VEV. The breaking of the quantum
invariance also results in a remaining undeformed U(1) gauge symmetry.
| [
{
"created": "Thu, 21 Mar 1996 21:00:22 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 1997 18:53:12 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Watts",
"Paul",
"",
"Department of Physics, University of Miami"
]
] | A gauge theory with an underlying SU_q(2) quantum group symmetry is introduced, and its properties examined. With suitable assumptions, this model is found to have many similarities with the usual SU(2)\times U(1) Standard Model, specifically, the existence of four generators and thus four gauge fields. However, the two classical symmetries are unified into one quantum symmetry, and therefore there is only a single coupling constant, rather than two. By incorporating a Higgs sector into the model, one obtains several explicit tree-level predictions in the undeformed limit, such as the Weinberg angle: $sin^2\Theta_{W} = 3/11$. With the Z-boson mass m_Z and fine structure constant alpha as inputs, one can also obtain predictions for the weak coupling constant, the mass of the W, and the Higgs VEV. The breaking of the quantum invariance also results in a remaining undeformed U(1) gauge symmetry. |
hep-th/0004122 | Zoltan Kadar | Zoltan Kadar | The torus and the Klein Bottle amplitude of permutation orbifolds | 8 pages, syntactic corrections to v2 | Phys.Lett. B484 (2000) 289-294 | 10.1016/S0370-2693(00)00615-8 | null | hep-th | null | The torus and the Klein bottle amplitude coefficients are computed in
permutation orbifolds of RCFT-s in terms of the same quantities in the original
theory and the twist group. An explicit expression is presented for the number
of self conjugate primaries in the orbifold as a polynomial of the total number
of primaries and the number of self conjugate ones in the parent theory. The
formulae in the $Z_2$ orbifold illustrate the general results.
| [
{
"created": "Mon, 17 Apr 2000 16:30:18 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Apr 2000 22:01:11 GMT",
"version": "v2"
},
{
"created": "Tue, 23 May 2000 19:06:18 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Kadar",
"Zoltan",
""
]
] | The torus and the Klein bottle amplitude coefficients are computed in permutation orbifolds of RCFT-s in terms of the same quantities in the original theory and the twist group. An explicit expression is presented for the number of self conjugate primaries in the orbifold as a polynomial of the total number of primaries and the number of self conjugate ones in the parent theory. The formulae in the $Z_2$ orbifold illustrate the general results. |
1012.0808 | David J. Fernandez C. | David J. Fern\'andez C., Manuel Gadella, Luis-Miguel Nieto | Supersymmetry Transformations for Delta Potentials | null | SIGMA 7:029,2011 | 10.3842/SIGMA.2011.029 | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We make a detailed study of the first and second-order SUSY partners of a
one-dimensional free Hamiltonian with a singular perturbation proportional to a
Dirac delta function. It is shown that the second-order transformations
increase the spectral manipulation possibilities offered by the standard
first-order supersymmetric quantum mechanics.
| [
{
"created": "Fri, 3 Dec 2010 18:33:59 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Feb 2011 15:29:29 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Mar 2011 06:28:09 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"C.",
"David J. Fernández",
""
],
[
"Gadella",
"Manuel",
""
],
[
"Nieto",
"Luis-Miguel",
""
]
] | We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics. |
hep-th/9311040 | Vitaly Tarasov | Vitaly Tarasov and Alexander Varchenko | Jackson Integral Representations for Solutions to the Quantized
Knizhnik-Zamolodchikov Equation | 50 pages. (Misprints are corrected.) | null | null | St.Petersburg Math. J., vol.6 (1994) no.2 | hep-th math.QA | null | The quantized Knizhnik-Zamolodchikov equations associated with the
trigonometric R-matrix or the rational R-matrix of the A-type are considered.
Jackson integral representations for solutions of these equations are
described. Asymptotic solutions for a holonomic system of difference equations
are constructed. Relations between the integral representations and the Bethe
ansatz are indicated.
| [
{
"created": "Sat, 6 Nov 1993 21:57:52 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 1994 16:26:14 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Nov 1994 09:50:14 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Tarasov",
"Vitaly",
""
],
[
"Varchenko",
"Alexander",
""
]
] | The quantized Knizhnik-Zamolodchikov equations associated with the trigonometric R-matrix or the rational R-matrix of the A-type are considered. Jackson integral representations for solutions of these equations are described. Asymptotic solutions for a holonomic system of difference equations are constructed. Relations between the integral representations and the Bethe ansatz are indicated. |
hep-th/0206165 | Alon Faraggi | Alon E. Faraggi | Partition functions of NAHE-based free fermionic string models | 14 pages. Standard LaTeX | Phys.Lett.B544:207-214,2002 | 10.1016/S0370-2693(02)02480-2 | OUTP-02-25P | hep-th hep-ph | null | The heterotic string free fermionic formulation produced a large class of
three generation models, with an underlying SO(10) GUT symmetry which is broken
directly at the string level by Wilson lines. A common subset of boundary
condition basis vectors in these models is the NAHE set, which corresponds to
Z2 X Z2 orbifold of an SO(12) Narain lattice, with (h11,h21)=(27,3).
Alternatively, a manifold with the same data is obtained by starting with a Z2
X Z2 orbifold at a generic point on the lattice, with (h11,h21)=(51,3), and
adding a freely acting Z2 involution. The equivalence of the two constructions
is proven by examining the relevant partition functions. The explicit
realization of the shift that reproduces the compactification at the free
fermionic point is found. It is shown that other closely related shifts
reproduce the same massless spectrum, but different massive spectrum, thus
demonstrating the utility of extracting information from the full partition
function. A freely acting involution of the type discussed here, enables the
use of Wilson lines to break the GUT symmetry and can be utilized in
non-perturbative studies of the free fermionic models.
| [
{
"created": "Tue, 18 Jun 2002 17:00:51 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Faraggi",
"Alon E.",
""
]
] | The heterotic string free fermionic formulation produced a large class of three generation models, with an underlying SO(10) GUT symmetry which is broken directly at the string level by Wilson lines. A common subset of boundary condition basis vectors in these models is the NAHE set, which corresponds to Z2 X Z2 orbifold of an SO(12) Narain lattice, with (h11,h21)=(27,3). Alternatively, a manifold with the same data is obtained by starting with a Z2 X Z2 orbifold at a generic point on the lattice, with (h11,h21)=(51,3), and adding a freely acting Z2 involution. The equivalence of the two constructions is proven by examining the relevant partition functions. The explicit realization of the shift that reproduces the compactification at the free fermionic point is found. It is shown that other closely related shifts reproduce the same massless spectrum, but different massive spectrum, thus demonstrating the utility of extracting information from the full partition function. A freely acting involution of the type discussed here, enables the use of Wilson lines to break the GUT symmetry and can be utilized in non-perturbative studies of the free fermionic models. |
2111.04750 | Pablo Antonio Cano Molina-Ni\~nirola | Pablo A. Cano, Alejandro Ruip\'erez | String gravity in $D=4$ | 16 pages, 4 figures, double column. v2: references, footnotes 1 and
10 and a comment on consistency of the truncation have been added. Version
sent to PRD | null | 10.1103/PhysRevD.105.044022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the four-dimensional theory of gravity that arises from string
theory with higher-derivative corrections. By compactifying and truncating the
ten-dimensional effective action of heterotic string theory at first order in
$\alpha'$, and carefully dealing with field redefinitions, we show that the
four-dimensional theory takes the form of an axidilaton model where the scalars
couple to the Gauss-Bonnet and Pontryagin densities. Thus, the actual string
gravity is a generalization of the well-studied Einstein-dilaton-Gauss-Bonnet
and dynamical Chern-Simons models. Using this action we compute the stringy
corrections to the Kerr geometry and we obtain, for the first time, the
corrections to the entropy of the Kerr black hole at order $\alpha'^2$. We
check that the first law of black hole mechanics is satisfied and discuss
several properties of the solution. Our results suggest that there exist black
hole solutions with $J>M^2$ and therefore the extremal ratio $J/M^2$ must be
modified positively.
| [
{
"created": "Mon, 8 Nov 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2021 09:46:39 GMT",
"version": "v2"
}
] | 2022-02-23 | [
[
"Cano",
"Pablo A.",
""
],
[
"Ruipérez",
"Alejandro",
""
]
] | We revisit the four-dimensional theory of gravity that arises from string theory with higher-derivative corrections. By compactifying and truncating the ten-dimensional effective action of heterotic string theory at first order in $\alpha'$, and carefully dealing with field redefinitions, we show that the four-dimensional theory takes the form of an axidilaton model where the scalars couple to the Gauss-Bonnet and Pontryagin densities. Thus, the actual string gravity is a generalization of the well-studied Einstein-dilaton-Gauss-Bonnet and dynamical Chern-Simons models. Using this action we compute the stringy corrections to the Kerr geometry and we obtain, for the first time, the corrections to the entropy of the Kerr black hole at order $\alpha'^2$. We check that the first law of black hole mechanics is satisfied and discuss several properties of the solution. Our results suggest that there exist black hole solutions with $J>M^2$ and therefore the extremal ratio $J/M^2$ must be modified positively. |
hep-th/0608192 | Gaston Giribet | Gaston Giribet and Osvaldo P. Santillan | Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and
other examples | 27 pages. Typos corrected. Accepted for publication in
Commun.Math.Phys | Commun.Math.Phys.275:373-400,2007 | 10.1007/s00220-007-0300-9 | null | hep-th math.DG | null | Non-compact G_2 holonomy metrics that arise from a T^2 bundle over a
hyper-Kahler space are discussed. These are one parameter deformations of the
metrics studied by Gibbons, Lu, Pope and Stelle in hep-th/0108191.
Seven-dimensional spaces with G_2 holonomy fibered over the Taub-Nut and the
Eguchi-Hanson gravitational instantons are found, together with other examples.
By considering the Apostolov-Salamon theorem math.DG/0303197, we construct a
new example that, still being a T^2 bundle over hyper-Kahler, represents a non
trivial two parameter deformation of the metrics studied in hep-th/0108191. We
then review the Spin(7) metrics arising from a T^3 bundle over a hyper-Kahler
and we find two parameter deformation of such spaces as well. We show that if
the hyper-Kahler base satisfies certain properties, a non trivial three
parameter deformations is also possible. The relation between these spaces with
the half-flat structures and almost G_2 holonomy spaces is briefly discussed.
| [
{
"created": "Mon, 28 Aug 2006 17:17:49 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Sep 2006 23:01:38 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Mar 2007 18:43:53 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Apr 2007 22:07:24 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Giribet",
"Gaston",
""
],
[
"Santillan",
"Osvaldo P.",
""
]
] | Non-compact G_2 holonomy metrics that arise from a T^2 bundle over a hyper-Kahler space are discussed. These are one parameter deformations of the metrics studied by Gibbons, Lu, Pope and Stelle in hep-th/0108191. Seven-dimensional spaces with G_2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson gravitational instantons are found, together with other examples. By considering the Apostolov-Salamon theorem math.DG/0303197, we construct a new example that, still being a T^2 bundle over hyper-Kahler, represents a non trivial two parameter deformation of the metrics studied in hep-th/0108191. We then review the Spin(7) metrics arising from a T^3 bundle over a hyper-Kahler and we find two parameter deformation of such spaces as well. We show that if the hyper-Kahler base satisfies certain properties, a non trivial three parameter deformations is also possible. The relation between these spaces with the half-flat structures and almost G_2 holonomy spaces is briefly discussed. |
1307.7165 | Aleksandr Zheltukhin | A. A. Zheltukhin | Branes as solutions of gauge theories in gravitational field | 21 pages. Published version: extended Introduction, additional
clarifications and comments, new references and improved style | Eur. Phys. J. C (2014) 74:3048 | 10.1140/epjc/s10052-014-3048-3 | Preprint NORDITA-2013-50 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The idea of the Gauss map is unified with the concept of branes as
hypersurfaces embedded into $D$-dimensional Minkowski space. The map introduces
new generalized coordinates of branes alternative to their world vectors
$\mathbf{x}$ and identified with the gauge and other massless fields. In these
coordinates the Dirac $p$-branes realize extremals of the Euler-Lagrange
equations of motion of a $(p+1)$-dimensional $SO(D-p-1)$ gauge-invariant action
in a gravitational background
| [
{
"created": "Fri, 26 Jul 2013 20:58:26 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 2013 10:52:53 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Sep 2014 13:36:56 GMT",
"version": "v3"
}
] | 2014-09-23 | [
[
"Zheltukhin",
"A. A.",
""
]
] | The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into $D$-dimensional Minkowski space. The map introduces new generalized coordinates of branes alternative to their world vectors $\mathbf{x}$ and identified with the gauge and other massless fields. In these coordinates the Dirac $p$-branes realize extremals of the Euler-Lagrange equations of motion of a $(p+1)$-dimensional $SO(D-p-1)$ gauge-invariant action in a gravitational background |
0905.1545 | Ricardo Troncoso | Julio Oliva, David Tempo, Ricardo Troncoso | Three-dimensional black holes, gravitational solitons, kinks and
wormholes for BHT massive gravity | Talk given at the "Workshop on Gravity in Three Dimensions," 14-24
April 2009, ESI, Vienna. 30 pages, 6 figures. V2: minor changes and section 6
slightly improved. Last version for JHEP | JHEP 0907:011,2009 | 10.1088/1126-6708/2009/07/011 | CECS-PHY-09/03 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theory of massive gravity in three dimensions recently proposed by
Bergshoeff, Hohm and Townsend (BHT) is considered. At the special case when the
theory admits a unique maximally symmetric solution, a conformally flat space
that contains black holes and gravitational solitons for any value of the
cosmological constant is found. For negative cosmological constant, the black
hole is characterized in terms of the mass and the "gravitational hair"
parameter, providing a lower bound for the mass. For negative mass parameter,
the black hole acquires an inner horizon, and the entropy vanishes at the
extremal case. Gravitational solitons and kinks, being regular everywhere, are
obtained from a double Wick rotation of the black hole. A wormhole solution in
vacuum that interpolates between two static universes of negative spatial
curvature is obtained as a limiting case of the gravitational soliton with a
suitable identification. The black hole and the gravitational soliton fit
within a set of relaxed asymptotically AdS conditions as compared with the ones
of Brown and Henneaux. In the case of positive cosmological constant the black
hole possesses an event and a cosmological horizon, whose mass is bounded from
above. Remarkably, the temperatures of the event and the cosmological horizons
coincide, and at the extremal case one obtains the analogue of the Nariai
solution, $dS_{2}\times S^{1}$. A gravitational soliton is also obtained
through a double Wick rotation of the black hole. The Euclidean continuation of
these solutions describes instantons with vanishing Euclidean action. For
vanishing cosmological constant the black hole and the gravitational soliton
are asymptotically locally flat spacetimes. The rotating solutions can be
obtained by boosting the previous ones in the $t-\phi$ plane.
| [
{
"created": "Mon, 11 May 2009 18:59:11 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2009 03:33:09 GMT",
"version": "v2"
}
] | 2009-07-28 | [
[
"Oliva",
"Julio",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] | The theory of massive gravity in three dimensions recently proposed by Bergshoeff, Hohm and Townsend (BHT) is considered. At the special case when the theory admits a unique maximally symmetric solution, a conformally flat space that contains black holes and gravitational solitons for any value of the cosmological constant is found. For negative cosmological constant, the black hole is characterized in terms of the mass and the "gravitational hair" parameter, providing a lower bound for the mass. For negative mass parameter, the black hole acquires an inner horizon, and the entropy vanishes at the extremal case. Gravitational solitons and kinks, being regular everywhere, are obtained from a double Wick rotation of the black hole. A wormhole solution in vacuum that interpolates between two static universes of negative spatial curvature is obtained as a limiting case of the gravitational soliton with a suitable identification. The black hole and the gravitational soliton fit within a set of relaxed asymptotically AdS conditions as compared with the ones of Brown and Henneaux. In the case of positive cosmological constant the black hole possesses an event and a cosmological horizon, whose mass is bounded from above. Remarkably, the temperatures of the event and the cosmological horizons coincide, and at the extremal case one obtains the analogue of the Nariai solution, $dS_{2}\times S^{1}$. A gravitational soliton is also obtained through a double Wick rotation of the black hole. The Euclidean continuation of these solutions describes instantons with vanishing Euclidean action. For vanishing cosmological constant the black hole and the gravitational soliton are asymptotically locally flat spacetimes. The rotating solutions can be obtained by boosting the previous ones in the $t-\phi$ plane. |
1205.4677 | Skenderis Kostas | Kostas Skenderis and Marika Taylor | Holographic realization of gauge mediated supersymmetry breaking | 11 pages, v2: comments and refs added, JHEP version | null | 10.1007/JHEP09(2012)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The general gauge mediation scenario provides a framework in which properties
of a visible sector with soft supersymmetry breaking are computed from current
correlation functions in the supersymmetry breaking hidden sector. In this
paper we will use holography to model strongly coupled hidden sectors by weakly
curved geometries and describe how the current correlators relevant for general
gauge mediation are computed by holographic methods. We illustrate the general
setup by a toy example which captures most of the relevant features.
| [
{
"created": "Mon, 21 May 2012 18:26:06 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2012 20:19:32 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
]
] | The general gauge mediation scenario provides a framework in which properties of a visible sector with soft supersymmetry breaking are computed from current correlation functions in the supersymmetry breaking hidden sector. In this paper we will use holography to model strongly coupled hidden sectors by weakly curved geometries and describe how the current correlators relevant for general gauge mediation are computed by holographic methods. We illustrate the general setup by a toy example which captures most of the relevant features. |
hep-th/0108030 | D. V. Ahluwalia | M. Kirchbach, D. V. Ahluwalia | A critique on the supplementary conditions of Rarita-Schwinger framework | null | null | null | LA-UR-01-4288 | hep-th hep-ph nucl-th | null | After a brief review of the celebrated 1941 paper of Rarita and Schwinger on
the theory of particles with half-integral spins, we present an {\em ab initio}
construct of the representation space relevant for the description of spin-3/2
particles. The chosen example case of spin-3/2 shows that covariance of a wave
equation, and that of the imposed supplementary conditions, alone is not a
sufficient criterion to guarantee the compatibility of a framework with
relativity -- a lesson already arrived by Velo and Zwanziger. Here this same
lesson is shown to be true at the level of the representation space without
invoking any interactions. The presented detailed analysis forces us to abandon
the single-spin interpretation of the Rarita and Schwinger framework, and
suggests a new interpretation that fully respects the relativity theory.
| [
{
"created": "Mon, 6 Aug 2001 17:19:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kirchbach",
"M.",
""
],
[
"Ahluwalia",
"D. V.",
""
]
] | After a brief review of the celebrated 1941 paper of Rarita and Schwinger on the theory of particles with half-integral spins, we present an {\em ab initio} construct of the representation space relevant for the description of spin-3/2 particles. The chosen example case of spin-3/2 shows that covariance of a wave equation, and that of the imposed supplementary conditions, alone is not a sufficient criterion to guarantee the compatibility of a framework with relativity -- a lesson already arrived by Velo and Zwanziger. Here this same lesson is shown to be true at the level of the representation space without invoking any interactions. The presented detailed analysis forces us to abandon the single-spin interpretation of the Rarita and Schwinger framework, and suggests a new interpretation that fully respects the relativity theory. |
1812.07087 | Erich Cavalcanti MSc | E. Cavalcanti, J. A. Louren\c{c}o, C.A. Linhares, A. P. C. Malbouisson | Dimensional reduction of a finite-size scalar field model at finite
temperature | null | Phys. Rev. D 99, 025007 (2019) | 10.1103/PhysRevD.99.025007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the process of dimensional reduction of one spatial dimension
in a thermal scalar field model defined in $D$ dimensions (inverse temperature
and $D-1$ spatial dimensions). We obtain that a thermal model in $D$ dimensions
with one of the spatial dimensions having a finite size $L$ is related to the
finite temperature model with just $D-1$ spatial dimensions and no finite size.
Our results are obtained for one-loop calculations and for any dimension $D$.
For example, in $D=4$ we have a relationship between a thin film with thickness
$L$ at finite temperature and a surface at finite temperature. We show that,
although a strict dimensional reduction is not allowed, it is possible to
define a valid prescription for this procedure.
| [
{
"created": "Mon, 17 Dec 2018 22:48:46 GMT",
"version": "v1"
}
] | 2019-01-16 | [
[
"Cavalcanti",
"E.",
""
],
[
"Lourenço",
"J. A.",
""
],
[
"Linhares",
"C. A.",
""
],
[
"Malbouisson",
"A. P. C.",
""
]
] | We investigate the process of dimensional reduction of one spatial dimension in a thermal scalar field model defined in $D$ dimensions (inverse temperature and $D-1$ spatial dimensions). We obtain that a thermal model in $D$ dimensions with one of the spatial dimensions having a finite size $L$ is related to the finite temperature model with just $D-1$ spatial dimensions and no finite size. Our results are obtained for one-loop calculations and for any dimension $D$. For example, in $D=4$ we have a relationship between a thin film with thickness $L$ at finite temperature and a surface at finite temperature. We show that, although a strict dimensional reduction is not allowed, it is possible to define a valid prescription for this procedure. |
hep-th/9810160 | Eduardo Mendel | E. Mendel (Universitaet Oldenburg) | Real time correlations at finite Temperature for the Ising model | 3 pp in Latex, 2 ps Figs., presented at the Latt98 Conf. in Boulder
Co | Nucl.Phys.Proc.Suppl. 73 (1999) 778-780 | 10.1016/S0920-5632(99)85201-3 | UOL-10-98 | hep-th | null | After having developed a method that measures real time evolution of quantum
systems at a finite temperature, we present here the simplest field theory
where this scheme can be applied to, namely the 1+1 Ising model.
We will compute the probability that if a given spin is up, some other spin
will be up after a time $t$, the whole system being at temperature $T$. We can
thus study spatial correlations and relaxation times at finite $T$. The fixed
points that enable the continuum real time limit can be easily found for this
model.
The ultimate aim is to get to understand real time evolution in more
complicated field theories, with quantum effects such as tunneling at finite
temperature.
| [
{
"created": "Wed, 21 Oct 1998 16:02:52 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Mendel",
"E.",
"",
"Universitaet Oldenburg"
]
] | After having developed a method that measures real time evolution of quantum systems at a finite temperature, we present here the simplest field theory where this scheme can be applied to, namely the 1+1 Ising model. We will compute the probability that if a given spin is up, some other spin will be up after a time $t$, the whole system being at temperature $T$. We can thus study spatial correlations and relaxation times at finite $T$. The fixed points that enable the continuum real time limit can be easily found for this model. The ultimate aim is to get to understand real time evolution in more complicated field theories, with quantum effects such as tunneling at finite temperature. |
2107.01924 | Tadashi Okazaki | Yasuyuki Hatsuda, Tadashi Okazaki | Fermi-gas correlators of ADHM theory and triality symmetry | 48 pages, 1 figure, v3: published version in SciPost | SciPost Phys. 12, 005 (2022) | 10.21468/SciPostPhys.12.1.005 | DCPT-21/09, RUP-21-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analytically study the Fermi-gas formulation of sphere correlation
functions of the Coulomb branch operators for 3d $\mathcal{N}=4$ ADHM theory
with a gauge group $U(N)$, an adjoint hypermultiplet and $l$ hypermultiplets
which can describe a stack of $N$ M2-branes at $A_{l-1}$ singularities. We find
that the leading coefficients of the perturbative grand canonical correlation
functions are invariant under a hidden triality symmetry conjectured from the
twisted M-theory. The triality symmetry also helps us to fix the
next-to-leading corrections analytically.
| [
{
"created": "Mon, 5 Jul 2021 10:45:50 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 2021 10:24:12 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2022 22:57:50 GMT",
"version": "v3"
}
] | 2022-01-10 | [
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okazaki",
"Tadashi",
""
]
] | We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d $\mathcal{N}=4$ ADHM theory with a gauge group $U(N)$, an adjoint hypermultiplet and $l$ hypermultiplets which can describe a stack of $N$ M2-branes at $A_{l-1}$ singularities. We find that the leading coefficients of the perturbative grand canonical correlation functions are invariant under a hidden triality symmetry conjectured from the twisted M-theory. The triality symmetry also helps us to fix the next-to-leading corrections analytically. |
hep-th/9812175 | Hugo Compean | H. Garcia-Compean, A. Nieto, O. Obregon, C. Ramirez | Dual Description of Supergravity MacDowell-Mansouri Theory | 16 pages, LaTeX file, no figures, minor comments and one reference
added | Phys.Rev. D59 (1999) 124003 | 10.1103/PhysRevD.59.124003 | CINVESTAV-IPN 55/98 | hep-th gr-qc | null | In the context of field theory two elements seem to be necessary to search
for strong-weak coupling duality. First, a gauge theory formulation and second,
supersymmetry. For gravitation these two elements are present in
MacDowell-Mansouri supergravity. The search for an "effective duality" in this
theory presents technical and conceptual problems that we discuss.
Nevertheless, by means of a field theoretical approach, which in the abelian
case coincides with $S$-duality, we exhibit a dual theory, with inverted
couplings. This results in a supersymmetric non-linear sigma model of the
Freedman-Townsend type.
| [
{
"created": "Fri, 18 Dec 1998 22:20:34 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 1999 19:51:45 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Garcia-Compean",
"H.",
""
],
[
"Nieto",
"A.",
""
],
[
"Obregon",
"O.",
""
],
[
"Ramirez",
"C.",
""
]
] | In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri supergravity. The search for an "effective duality" in this theory presents technical and conceptual problems that we discuss. Nevertheless, by means of a field theoretical approach, which in the abelian case coincides with $S$-duality, we exhibit a dual theory, with inverted couplings. This results in a supersymmetric non-linear sigma model of the Freedman-Townsend type. |
1507.08488 | James McGrane | James McGrane, Sanjaye Ramgoolam, Brian Wecht | Chiral Ring Generating Functions & Branches of Moduli Space | 34 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the worldvolume theory of N D3-branes transverse to various
non-compact Calabi-Yau spaces, and describe subtleties in the counting of
chiral primary operators in such theories due to the presence of multiple
branches of moduli space. Extra branches, beyond those directly related to the
transverse geometry, result in additional terms in the generating functions for
single- and multi-trace operators. Ideals in the N=1 chiral ring correspond to
various branches and, in the large N limit, the operator counting reveals a
product of Fock spaces, including the Fock space of bosons on the space
transverse to the branes.
| [
{
"created": "Thu, 30 Jul 2015 13:15:27 GMT",
"version": "v1"
}
] | 2015-07-31 | [
[
"McGrane",
"James",
""
],
[
"Ramgoolam",
"Sanjaye",
""
],
[
"Wecht",
"Brian",
""
]
] | We consider the worldvolume theory of N D3-branes transverse to various non-compact Calabi-Yau spaces, and describe subtleties in the counting of chiral primary operators in such theories due to the presence of multiple branches of moduli space. Extra branches, beyond those directly related to the transverse geometry, result in additional terms in the generating functions for single- and multi-trace operators. Ideals in the N=1 chiral ring correspond to various branches and, in the large N limit, the operator counting reveals a product of Fock spaces, including the Fock space of bosons on the space transverse to the branes. |
0903.2916 | Jean Michel Maillet | N. Kitanine (LPTM), K. K. Kozlowski (Phys-ENS), J. M. Maillet
(Phys-ENS), N. A. Slavnov (SMI), V. Terras (Phys-ENS, LPTA) | On the thermodynamic limit of form factors in the massless XXZ
Heisenberg chain | 28 pages | J.Math.Phys.50:095209,2009 | 10.1063/1.3136683 | LPENSL-TH-03/09 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of computing form factors of the massless XXZ
Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit
where the size M of the chain becomes large. For that purpose, we take the
particular example of the matrix element of the third component of spin between
the ground state and an excited state with one particle and one hole located at
the opposite ends of the Fermi interval (umklapp-type term). We exhibit its
power-law decrease in terms of the size of the chain M, and compute the
corresponding exponent and amplitude. As a consequence, we show that this form
factor is directly related to the amplitude of the leading oscillating term in
the long-distance asymptotic expansion of the two-point correlation function of
the third component of spin.
| [
{
"created": "Tue, 17 Mar 2009 07:40:05 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Kitanine",
"N.",
"",
"LPTM"
],
[
"Kozlowski",
"K. K.",
"",
"Phys-ENS"
],
[
"Maillet",
"J. M.",
"",
"Phys-ENS"
],
[
"Slavnov",
"N. A.",
"",
"SMI"
],
[
"Terras",
"V.",
"",
"Phys-ENS, LPTA"
]
] | We consider the problem of computing form factors of the massless XXZ Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit where the size M of the chain becomes large. For that purpose, we take the particular example of the matrix element of the third component of spin between the ground state and an excited state with one particle and one hole located at the opposite ends of the Fermi interval (umklapp-type term). We exhibit its power-law decrease in terms of the size of the chain M, and compute the corresponding exponent and amplitude. As a consequence, we show that this form factor is directly related to the amplitude of the leading oscillating term in the long-distance asymptotic expansion of the two-point correlation function of the third component of spin. |
1705.04696 | Daniel Fern\'andez | Johanna Erdmenger, Daniel Fernandez, Mario Flory, Eugenio Megias,
Ann-Kathrin Straub, Piotr Witkowski | Time evolution of entanglement for holographic steady state formation | 57 pages, 25 figures. v2: Minor revisions and references added. v3:
Referee's comments included. The numerical codes described in this paper are
available in the ancillary files directory (anc/) of this submission | null | 10.1007/JHEP10(2017)034 | MPP-2017-87 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within gauge/gravity duality, we consider the local quench-like time
evolution obtained by joining two 1+1-dimensional heat baths at different
temperatures at time t=0. A steady state forms and expands in space. For the
2+1-dimensional gravity dual, we find that the shockwaves expanding the
steady-state region are of spacelike nature in the bulk despite being null at
the boundary. However, they do not transport information. Moreover, by adapting
the time-dependent Hubeny-Rangamani-Takayanagi prescription, we holographically
calculate the entanglement entropy and also the mutual information for
different entangling regions. For general temperatures, we find that the
entanglement entropy increase rate satisfies the same bound as in the
"entanglement tsunami" setups. For small temperatures of the two baths, we
derive an analytical formula for the time dependence of the entanglement
entropy. This replaces the entanglement tsunami-like behaviour seen for high
temperatures. Finally, we check that strong subadditivity holds in this
time-dependent system, as well as further more general entanglement
inequalities for five or more regions recently derived for the static case.
| [
{
"created": "Fri, 12 May 2017 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2017 13:49:18 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Sep 2017 23:12:06 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Fernandez",
"Daniel",
""
],
[
"Flory",
"Mario",
""
],
[
"Megias",
"Eugenio",
""
],
[
"Straub",
"Ann-Kathrin",
""
],
[
"Witkowski",
"Piotr",
""
]
] | Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t=0. A steady state forms and expands in space. For the 2+1-dimensional gravity dual, we find that the shockwaves expanding the steady-state region are of spacelike nature in the bulk despite being null at the boundary. However, they do not transport information. Moreover, by adapting the time-dependent Hubeny-Rangamani-Takayanagi prescription, we holographically calculate the entanglement entropy and also the mutual information for different entangling regions. For general temperatures, we find that the entanglement entropy increase rate satisfies the same bound as in the "entanglement tsunami" setups. For small temperatures of the two baths, we derive an analytical formula for the time dependence of the entanglement entropy. This replaces the entanglement tsunami-like behaviour seen for high temperatures. Finally, we check that strong subadditivity holds in this time-dependent system, as well as further more general entanglement inequalities for five or more regions recently derived for the static case. |
2310.14308 | Yuji Ando | Yuji Ando | Closed string amplitudes around tachyon vacuum solution in Kaku theory | 13 pages, 3 figures | null | null | UTHEP-782 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We incorporate closed string field into Kaku's open string field theory which
is defined by using Kaku vertex, and we construct open-closed string field
theory. To do this, we define new consistent open-closed vertex and
open-open-closed vertex with the Kaku vertex. Because these vertices depend on
Chan-Paton parameter such as the Kaku vertex, the open-closed string field
theory action that we construct depends on the Chan-Paton parameter such as the
Kaku's theory action. However, we can show that an infinitesimal change of $l$
corresponds to a field redefinition. Furthermore, we compute closed string
amplitudes around tachyon vacuum solution in this theory. As a result, we
confirm that these are conventional pure closed string amplitudes on surfaces
without boundaries.
| [
{
"created": "Sun, 22 Oct 2023 14:08:30 GMT",
"version": "v1"
}
] | 2023-10-25 | [
[
"Ando",
"Yuji",
""
]
] | We incorporate closed string field into Kaku's open string field theory which is defined by using Kaku vertex, and we construct open-closed string field theory. To do this, we define new consistent open-closed vertex and open-open-closed vertex with the Kaku vertex. Because these vertices depend on Chan-Paton parameter such as the Kaku vertex, the open-closed string field theory action that we construct depends on the Chan-Paton parameter such as the Kaku's theory action. However, we can show that an infinitesimal change of $l$ corresponds to a field redefinition. Furthermore, we compute closed string amplitudes around tachyon vacuum solution in this theory. As a result, we confirm that these are conventional pure closed string amplitudes on surfaces without boundaries. |
1008.3575 | Elena Mendez-Escobar PhD | Elena M\'endez-Escobar | Metric 3-Leibniz algebras and M2-branes | PhD thesis of Elena M\'endez-Escobar in the University of Edinburgh
(supervised by Jos\'e Figueroa-O'Farrill and Joan Sim\'on) | null | null | null | hep-th math.RA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis is concerned with superconformal Chern-Simons theories with
matter in 3 dimensions. The interest in these theories is two-fold. On the one
hand, it is a new family of theories in which to test the AdS/CFT
correspondence and on the other, they are important to study one of the main
objects of M-theory (M2-branes). All these theories have something in common:
they can be written in terms of 3-Leibniz algebras. Here we study the structure
theory of such algebras, paying special attention to a subclass of them that
gives rise to maximal supersymmetry and that was the first to appear in this
context: 3-Lie algebras.
In chapter 2, we review the structure theory of metric Lie algebras and their
unitary representations. In chapter 3, we study metric 3-Leibniz algebras and
show, by specialising a construction originally due to Faulkner, that they are
in one to one correspondence with pairs of real metric Lie algebras and unitary
representations of them. We also show a third characterisation for six extreme
cases of 3-Leibniz algebras as graded Lie (super)algebras. In chapter 4, we
study metric 3-Lie algebras in detail. We prove a structural result and also
classify those with a maximally isotropic centre, which is the requirement that
ensures unitarity of the corresponding conformal field theory. Finally, in
chapter 5, we study the universal structure of superpotentials in this class of
superconformal Chern-Simons theories with matter in three dimensions. We
provide a uniform formulation for all these theories and establish the
connection between the amount of supersymmetry preserved and the gauge Lie
algebra and the appropriate unitary representation to be used to write down the
Lagrangian. The conditions for supersymmetry enhancement are then expressed
equivalently in the language of representation theory of Lie algebras or the
language of 3-Leibniz algebras.
| [
{
"created": "Fri, 20 Aug 2010 20:53:15 GMT",
"version": "v1"
}
] | 2010-08-24 | [
[
"Méndez-Escobar",
"Elena",
""
]
] | This thesis is concerned with superconformal Chern-Simons theories with matter in 3 dimensions. The interest in these theories is two-fold. On the one hand, it is a new family of theories in which to test the AdS/CFT correspondence and on the other, they are important to study one of the main objects of M-theory (M2-branes). All these theories have something in common: they can be written in terms of 3-Leibniz algebras. Here we study the structure theory of such algebras, paying special attention to a subclass of them that gives rise to maximal supersymmetry and that was the first to appear in this context: 3-Lie algebras. In chapter 2, we review the structure theory of metric Lie algebras and their unitary representations. In chapter 3, we study metric 3-Leibniz algebras and show, by specialising a construction originally due to Faulkner, that they are in one to one correspondence with pairs of real metric Lie algebras and unitary representations of them. We also show a third characterisation for six extreme cases of 3-Leibniz algebras as graded Lie (super)algebras. In chapter 4, we study metric 3-Lie algebras in detail. We prove a structural result and also classify those with a maximally isotropic centre, which is the requirement that ensures unitarity of the corresponding conformal field theory. Finally, in chapter 5, we study the universal structure of superpotentials in this class of superconformal Chern-Simons theories with matter in three dimensions. We provide a uniform formulation for all these theories and establish the connection between the amount of supersymmetry preserved and the gauge Lie algebra and the appropriate unitary representation to be used to write down the Lagrangian. The conditions for supersymmetry enhancement are then expressed equivalently in the language of representation theory of Lie algebras or the language of 3-Leibniz algebras. |
1907.02988 | Thomas A. DeGrand | Thomas DeGrand | Lattice methods for students at a formal TASI | 49 pages, 18 figures, lectures at Tasi 2019 | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lectures about lattice field theory were written for, and given at,
TASI 2019, ``The many dimensions of quantum field theory.'' The students at
this TASI were mostly interested in formal things, and so these are slightly
unusual lattice lectures: I wanted to give the physical motivation behind
lattice calculations rather than describe all the technical details. A quick
outline: (1) The really big picture: lattice basics, lattice confinement,
getting rid of the lattice. (2) A walk through the parts of a lattice
calculation -- an overview, to show what's involved. (3) Chiral fermions on the
lattice. (This part might be interesting to lattice people.) (4) Case studies:
the three dimensional Ising model, and QCD.
| [
{
"created": "Fri, 5 Jul 2019 18:19:54 GMT",
"version": "v1"
}
] | 2019-07-09 | [
[
"DeGrand",
"Thomas",
""
]
] | These lectures about lattice field theory were written for, and given at, TASI 2019, ``The many dimensions of quantum field theory.'' The students at this TASI were mostly interested in formal things, and so these are slightly unusual lattice lectures: I wanted to give the physical motivation behind lattice calculations rather than describe all the technical details. A quick outline: (1) The really big picture: lattice basics, lattice confinement, getting rid of the lattice. (2) A walk through the parts of a lattice calculation -- an overview, to show what's involved. (3) Chiral fermions on the lattice. (This part might be interesting to lattice people.) (4) Case studies: the three dimensional Ising model, and QCD. |
hep-th/0012231 | Sergei Solodukhin | Maulik K. Parikh and Sergey N. Solodukhin | de Sitter Brane Gravity: from Close-Up to Panorama | 15 pages, latex, 1 figure; added appendix of useful Legendre
formulas, minor modifications, more references, to appear in Phys. Lett. B | Phys.Lett. B503 (2001) 384-393 | 10.1016/S0370-2693(01)00233-7 | SPIN-2000/34 | hep-th gr-qc hep-ph | null | We find explicitly the induced graviton propagator on de Sitter branes
embedded in various five-dimensional spacetimes; de Sitter branes in AdS and
Minkowski space are particular cases. By studying the structure of the
momentum-space propagator, we are able to extract interesting physics, much of
which is qualitatively different from that of flat branes. We find that 1)
there can be a set of graviton-like particles which mediate brane gravity at
different scales; 2) localized gravity can exist even on de Sitter branes in
Minkowski space; 3) Kaluza-Klein modes also contribute to conventional 4-D
gravity for de Sitter branes in AdS; and 4) Newton's constant can vary
considerably with scale. We comment on the implications for the effective
cosmological constant.
| [
{
"created": "Sun, 24 Dec 2000 13:37:58 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2001 13:46:51 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Parikh",
"Maulik K.",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] | We find explicitly the induced graviton propagator on de Sitter branes embedded in various five-dimensional spacetimes; de Sitter branes in AdS and Minkowski space are particular cases. By studying the structure of the momentum-space propagator, we are able to extract interesting physics, much of which is qualitatively different from that of flat branes. We find that 1) there can be a set of graviton-like particles which mediate brane gravity at different scales; 2) localized gravity can exist even on de Sitter branes in Minkowski space; 3) Kaluza-Klein modes also contribute to conventional 4-D gravity for de Sitter branes in AdS; and 4) Newton's constant can vary considerably with scale. We comment on the implications for the effective cosmological constant. |
1404.1527 | Washington Taylor | David R. Morrison and Washington Taylor | Sections, multisections, and U(1) fields in F-theory | 27 pages, 2 figures; v2: references added; v3: Scope of arguments
clarified. Cases identified where U(1) to SU(2) enhancement gives
superconformal points and/or leads to boundary points at an infinite distance
from the interior of moduli space; conclusions modified accordingly. Minor
additional corrections, clarifications, references added | null | null | UCSB Math 2014-12, MIT-CTP-4540 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that genus-one fibrations lacking a global section fit naturally into
the geometric moduli space of Weierstrass models. Elliptic fibrations with
multiple sections (nontrivial Mordell-Weil rank), which give rise in F-theory
to abelian U(1) fields, arise as a subspace of the set of genus-one fibrations
with multisections. Higgsing of certain matter multiplets charged under abelian
gauge fields in the corresponding supergravity theories break the U(1) gauge
symmetry to a discrete gauge symmetry group. We further show that in six
dimensions every U(1) gauge symmetry arising in an F-theory model can be found
by Higgsing an SU(2) gauge symmetry with adjoint matter, and that a similar
structure holds for F-theory geometries giving 4D supergravity theories.
| [
{
"created": "Sat, 5 Apr 2014 23:42:58 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2014 14:03:29 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2014 00:03:42 GMT",
"version": "v3"
}
] | 2014-10-01 | [
[
"Morrison",
"David R.",
""
],
[
"Taylor",
"Washington",
""
]
] | We show that genus-one fibrations lacking a global section fit naturally into the geometric moduli space of Weierstrass models. Elliptic fibrations with multiple sections (nontrivial Mordell-Weil rank), which give rise in F-theory to abelian U(1) fields, arise as a subspace of the set of genus-one fibrations with multisections. Higgsing of certain matter multiplets charged under abelian gauge fields in the corresponding supergravity theories break the U(1) gauge symmetry to a discrete gauge symmetry group. We further show that in six dimensions every U(1) gauge symmetry arising in an F-theory model can be found by Higgsing an SU(2) gauge symmetry with adjoint matter, and that a similar structure holds for F-theory geometries giving 4D supergravity theories. |
hep-th/0109060 | Minoru Hirayama | Minoru Hirayama and Chang-Guang Shi (Department of Physics, Toyama
University) | Nonlinear sigma models solvable by the Aratyn-Ferreira-Zimerman ansatz | 19 pages. Two column style is changed to preprint style | Phys.Rev. D65 (2002) 065008 | 10.1103/PhysRevD.65.065008 | null | hep-th | null | Nonlinear sigma models compatible with the aratyn-Ferreira-Zimerman ansatz
are discussed, the latter ansatz automatically leading to configurations with
definite values of the Hopf index. These models are allowed to involve a weight
factor which is a function of one of the toroidal coordinates. Depending on the
choice of the weight factor, the field equation takes various forms. In one
model with a special weight factor, the field equation turns out to be the
fifth Painleve equation. This model suggests the existence of a knot soliton
strictly confined in a finite spatial volume. Some other interesting cases are
also discussed.
| [
{
"created": "Fri, 7 Sep 2001 08:02:48 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2002 02:29:36 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Feb 2002 00:47:01 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Hirayama",
"Minoru",
"",
"Department of Physics, Toyama\n University"
],
[
"Shi",
"Chang-Guang",
"",
"Department of Physics, Toyama\n University"
]
] | Nonlinear sigma models compatible with the aratyn-Ferreira-Zimerman ansatz are discussed, the latter ansatz automatically leading to configurations with definite values of the Hopf index. These models are allowed to involve a weight factor which is a function of one of the toroidal coordinates. Depending on the choice of the weight factor, the field equation takes various forms. In one model with a special weight factor, the field equation turns out to be the fifth Painleve equation. This model suggests the existence of a knot soliton strictly confined in a finite spatial volume. Some other interesting cases are also discussed. |
1410.7522 | Ryo Matsuda | Hirotaka Hayashi, Ryo Matsuda and Taizan Watari | Issues in Complex Structure Moduli Inflation | 42 pages, 6 figures | null | null | IFT-UAM/CSIC-14-104, IPMU14-0321 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric compactification with moderately large radius (${\rm Re}< T >
\sim {\cal O}(10)$ or more) not only accommodates supersymmetric unification,
but also provides candidates for an inflaton in the form of geometric moduli;
the value of ${\rm Re}< T > > 1$ may be used as a parameter that brings
corrections to the inflaton potential under control. Motivated by a bottom-up
idea "right-handed sneutrino inflation" scenario, we study whether complex
structure moduli can play some role during the slow-roll inflation and/or
reheating process in this moderately large radius regime. Even when we allow a
tuning introduced by Kallosh and Linde, the barrier of volume stabilization
potential from gaugino condensation racetrack superpotential can hardly be as
high as $(10^{16} \; {\rm GeV})^4$ for generic choice of parameters in this
regime. It is also found that even very small deformation of complex structure
during inflation/reheating distorts the volume stabilization potential, so that
the volume stabilization imposes tight constraints on large-field inflation
scenario involving evolution of complex structure moduli. A few ideas of
satisfying those constraints in string theory are also discussed.
| [
{
"created": "Tue, 28 Oct 2014 05:21:59 GMT",
"version": "v1"
}
] | 2014-10-29 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Matsuda",
"Ryo",
""
],
[
"Watari",
"Taizan",
""
]
] | Supersymmetric compactification with moderately large radius (${\rm Re}< T > \sim {\cal O}(10)$ or more) not only accommodates supersymmetric unification, but also provides candidates for an inflaton in the form of geometric moduli; the value of ${\rm Re}< T > > 1$ may be used as a parameter that brings corrections to the inflaton potential under control. Motivated by a bottom-up idea "right-handed sneutrino inflation" scenario, we study whether complex structure moduli can play some role during the slow-roll inflation and/or reheating process in this moderately large radius regime. Even when we allow a tuning introduced by Kallosh and Linde, the barrier of volume stabilization potential from gaugino condensation racetrack superpotential can hardly be as high as $(10^{16} \; {\rm GeV})^4$ for generic choice of parameters in this regime. It is also found that even very small deformation of complex structure during inflation/reheating distorts the volume stabilization potential, so that the volume stabilization imposes tight constraints on large-field inflation scenario involving evolution of complex structure moduli. A few ideas of satisfying those constraints in string theory are also discussed. |
1301.3776 | Ahmad Sheykhi | Ahmad Sheykhi | Thermodynamics of the apparent horizon in infrared modified
Horava-Lifshitz gravity | 9 pages, the abstract, introduction and conclusions of the text were
revised to remove text overlap with arXiv:hep-th/0602156 by other authors | Phys. Rev. D 87, 024022 (2013) | 10.1103/PhysRevD.87.024022 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | It is well known that by applying the first law of thermodynamics to the
apparent horizon of a Friedmann-Robertson-Walker universe, one can derive the
corresponding Friedmann equations in Einstein, Gauss-Bonnet, and more general
Lovelock gravity. Is this a generic feature of any gravitational theory? Is the
prescription applicable to other gravities? In this paper we would like to
address the above questions by examining the same procedure for Horava-Lifshitz
gravity. We find that in Horava-Lifshitz gravity, this approach does not work
and we fail to reproduce a corresponding Friedmann equation in this theory by
applying the first law of thermodynamics on the apparent horizon, together with
the appropriate expression for the entropy in Horava-Lifshitz gravity. The
reason for this failure seems to be due to the fact that Horava-Lifshitz
gravity is not diffeomorphism invariant, and thus, the corresponding field
equation cannot be derived from the first law around horizon in the spacetime.
Without this, it implies that the specific gravitational theory is not
consistent, which shows an additional problematic feature of Horrava-Lifshitz
gravity. Nevertheless, if we still take the area formula of geometric entropy
and regard Horava-Lifshitz sector in the Friedmann equation as an effective
dark radiation, we are able to extract the corresponding Friedmann equation
from the first law of thermodynamics.
| [
{
"created": "Wed, 16 Jan 2013 18:08:01 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2013 13:43:43 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Jan 2013 15:49:35 GMT",
"version": "v3"
}
] | 2013-01-22 | [
[
"Sheykhi",
"Ahmad",
""
]
] | It is well known that by applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe, one can derive the corresponding Friedmann equations in Einstein, Gauss-Bonnet, and more general Lovelock gravity. Is this a generic feature of any gravitational theory? Is the prescription applicable to other gravities? In this paper we would like to address the above questions by examining the same procedure for Horava-Lifshitz gravity. We find that in Horava-Lifshitz gravity, this approach does not work and we fail to reproduce a corresponding Friedmann equation in this theory by applying the first law of thermodynamics on the apparent horizon, together with the appropriate expression for the entropy in Horava-Lifshitz gravity. The reason for this failure seems to be due to the fact that Horava-Lifshitz gravity is not diffeomorphism invariant, and thus, the corresponding field equation cannot be derived from the first law around horizon in the spacetime. Without this, it implies that the specific gravitational theory is not consistent, which shows an additional problematic feature of Horrava-Lifshitz gravity. Nevertheless, if we still take the area formula of geometric entropy and regard Horava-Lifshitz sector in the Friedmann equation as an effective dark radiation, we are able to extract the corresponding Friedmann equation from the first law of thermodynamics. |
hep-th/0508037 | Solange Odile Saliu | C. Bizdadea, E. M. Cioroianu, S. O. Saliu, S. C. Sararu | Couplings of a collection of BF models to matter theories | LaTeX, 48 pages, matching the published version | Eur.Phys.J.C41:401-420,2005 | 10.1140/EPJC/S2005-02224-Y | null | hep-th | null | The couplings of a collection of BF models to matter theories are addressed
in the framework of the antifield-BRST deformation procedure. The general
theory is exemplified in the case where the matter fields are a set of Dirac
spinors and respectively a collection of real scalar fields.
| [
{
"created": "Fri, 5 Aug 2005 15:29:46 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Bizdadea",
"C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Saliu",
"S. O.",
""
],
[
"Sararu",
"S. C.",
""
]
] | The couplings of a collection of BF models to matter theories are addressed in the framework of the antifield-BRST deformation procedure. The general theory is exemplified in the case where the matter fields are a set of Dirac spinors and respectively a collection of real scalar fields. |
0802.0655 | Alexander Zhidenko | Hideki Ishihara, Masashi Kimura, Roman A. Konoplya, Keiju Murata, Jiro
Soda, Alexander Zhidenko | Evolution of perturbations of squashed Kaluza-Klein black holes: escape
from instability | 12 pages, 6 figures | Phys.Rev.D77:084019,2008 | 10.1103/PhysRevD.77.084019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild
black holes with asymptotic flatness or the black strings even at energies for
which the KK modes are not excited yet, so that squashed KK black holes open a
window in higher dimensions. Another important feature is that the squashed KK
black holes are apparently stable and, thereby, let us avoid the
Gregory-Laflamme instability. In the present paper, the evolution of scalar and
gravitational perturbations in time and frequency domains is considered for
these squashed KK black holes. The scalar field perturbations are analyzed for
general rotating squashed KK black holes. Gravitational perturbations for the
so called zero mode are shown to be decayed for non-rotating black holes, in
concordance with the stability of the squashed KK black holes. The correlation
of quasinormal frequencies with the size of extra dimension is discussed.
| [
{
"created": "Tue, 5 Feb 2008 16:07:25 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Mar 2008 20:09:41 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Ishihara",
"Hideki",
""
],
[
"Kimura",
"Masashi",
""
],
[
"Konoplya",
"Roman A.",
""
],
[
"Murata",
"Keiju",
""
],
[
"Soda",
"Jiro",
""
],
[
"Zhidenko",
"Alexander",
""
]
] | The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so called zero mode are shown to be decayed for non-rotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed. |
1502.00629 | Jean-Luc Lehners | Jean-Luc Lehners | Classical Inflationary and Ekpyrotic Universes in the No-Boundary
Wavefunction | 35 pages, 19 figures, v2: replaced with version to be published in
PRD | Phys. Rev. D 91, 083525 (2015) | 10.1103/PhysRevD.91.083525 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper investigates the manner in which classical universes are obtained
in the no-boundary quantum state. In this context, universes can be
characterised as classical (in a WKB sense) when the wavefunction is highly
oscillatory, i.e. when the ratio of the change in the amplitude of the
wavefunction becomes small compared to the change in the phase. In the presence
of a positive or negative exponential potential, the WKB condition is satisfied
in proportion to a factor $e^{-(\epsilon - 3)N/(\epsilon -1)},$ where
$\epsilon$ is the (constant) slow-roll/fast-roll parameter and $N$ designates
the number of e-folds. Thus classicality is reached exponentially fast in $N$,
but only when $\epsilon < 1$ (inflation) or $\epsilon > 3$ (ekpyrosis).
Furthermore, when the potential switches off and the ekpyrotic phase goes over
into a phase of kinetic domination, the level of classicality obtained up to
that point is preserved. Similar results are obtained in a cyclic potential,
where a dark energy plateau is added. Finally, for a potential of the form
$-\phi^n$ (with $n=4,6,8$), where the classical solution becomes increasingly
kinetic-dominated, there is an initial burst of classicalisation which then
quickly levels off. These results demonstrate that inflation and ekpyrosis,
which are the only dynamical mechanisms known for smoothing the universe, share
the perhaps even more fundamental property of rendering space and time
classical in the first place.
| [
{
"created": "Mon, 2 Feb 2015 21:00:09 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2015 07:29:47 GMT",
"version": "v2"
}
] | 2015-04-29 | [
[
"Lehners",
"Jean-Luc",
""
]
] | This paper investigates the manner in which classical universes are obtained in the no-boundary quantum state. In this context, universes can be characterised as classical (in a WKB sense) when the wavefunction is highly oscillatory, i.e. when the ratio of the change in the amplitude of the wavefunction becomes small compared to the change in the phase. In the presence of a positive or negative exponential potential, the WKB condition is satisfied in proportion to a factor $e^{-(\epsilon - 3)N/(\epsilon -1)},$ where $\epsilon$ is the (constant) slow-roll/fast-roll parameter and $N$ designates the number of e-folds. Thus classicality is reached exponentially fast in $N$, but only when $\epsilon < 1$ (inflation) or $\epsilon > 3$ (ekpyrosis). Furthermore, when the potential switches off and the ekpyrotic phase goes over into a phase of kinetic domination, the level of classicality obtained up to that point is preserved. Similar results are obtained in a cyclic potential, where a dark energy plateau is added. Finally, for a potential of the form $-\phi^n$ (with $n=4,6,8$), where the classical solution becomes increasingly kinetic-dominated, there is an initial burst of classicalisation which then quickly levels off. These results demonstrate that inflation and ekpyrosis, which are the only dynamical mechanisms known for smoothing the universe, share the perhaps even more fundamental property of rendering space and time classical in the first place. |
1106.3263 | Fedele Lizzi | A.A. Andrianov, M.A. Kurkov, Fedele Lizzi | Spectral action, Weyl anomaly and the Higgs-Dilaton potential | 23 pages, 4 figures | null | 10.1007/JHEP10(2011)001 | ICCUB-11-147; DSF/7/2011 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the bosonic spectral action emerges from the fermionic action by
the renormalization group flow in the presence of a dilaton and the Weyl
anomaly. The induced action comes out to be basically the Chamseddine-Connes
spectral action introduced in the context of noncommutative geometry. The
entire spectral action describes gauge and Higgs fields coupled with gravity.
We then consider the effective potential and show, that it has the desired
features of a broken and an unbroken phase, with the roll down.
| [
{
"created": "Thu, 16 Jun 2011 16:12:21 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Andrianov",
"A. A.",
""
],
[
"Kurkov",
"M. A.",
""
],
[
"Lizzi",
"Fedele",
""
]
] | We show how the bosonic spectral action emerges from the fermionic action by the renormalization group flow in the presence of a dilaton and the Weyl anomaly. The induced action comes out to be basically the Chamseddine-Connes spectral action introduced in the context of noncommutative geometry. The entire spectral action describes gauge and Higgs fields coupled with gravity. We then consider the effective potential and show, that it has the desired features of a broken and an unbroken phase, with the roll down. |
2005.13058 | Thomas Mertens | Andreas Blommaert, Thomas G. Mertens, Henri Verschelde | Unruh detectors and quantum chaos in JT gravity | 41 pages, v3: added discussion on charged systems, added references,
fixed some typos, matches published version | JHEP 2103 (2021) 086 | 10.1007/JHEP03(2021)086 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify the spectral properties of Hawking-Unruh radiation in the eternal
black hole at ultra low energies as a probe for the chaotic level statistics of
quantum black holes. Level repulsion implies that there are barely Hawking
particles with an energy smaller than the level separation. This effect is
experimentally accessible by probing the Unruh heat bath with a linear
detector. We provide evidence for this effect via explicit and exact
calculations in JT gravity building on a radar definition of bulk observables
in the model. Similar results are observed for the bath energy density. This
universal feature of eternal Hawking radiation should resonate into the
evaporating setup.
| [
{
"created": "Tue, 26 May 2020 21:45:50 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2020 13:12:18 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Mar 2021 14:19:54 GMT",
"version": "v3"
}
] | 2021-03-16 | [
[
"Blommaert",
"Andreas",
""
],
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
]
] | We identify the spectral properties of Hawking-Unruh radiation in the eternal black hole at ultra low energies as a probe for the chaotic level statistics of quantum black holes. Level repulsion implies that there are barely Hawking particles with an energy smaller than the level separation. This effect is experimentally accessible by probing the Unruh heat bath with a linear detector. We provide evidence for this effect via explicit and exact calculations in JT gravity building on a radar definition of bulk observables in the model. Similar results are observed for the bath energy density. This universal feature of eternal Hawking radiation should resonate into the evaporating setup. |
2103.02882 | Feng Qu | Feng Qu | Effective field theory on a finite boundary of the Bruhat-Tits tree | v2: 13 pages, 5 figures, accepted version, to appear in PRD; v3:
typos corrected, title changed to match the published version | Phys. Rev. D 103, 086015 (2021) | 10.1103/PhysRevD.103.086015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on bulk reconstruction from the finite boundary of the Bruhat-Tits
tree, the boundary effective theory is obtained after integrating out fields
outside this boundary. According to the $~p$-adic version of Anti-de
Sitter/Conformal Field Theory duality, two-point functions of dual theory
living on the finite boundary are read out from the effective action. They can
be regarded as two-point functions of a deformed conformal field theory over
$~p$-adic numbers.
| [
{
"created": "Thu, 4 Mar 2021 08:08:25 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2021 01:23:25 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Apr 2021 00:25:50 GMT",
"version": "v3"
}
] | 2021-04-26 | [
[
"Qu",
"Feng",
""
]
] | Based on bulk reconstruction from the finite boundary of the Bruhat-Tits tree, the boundary effective theory is obtained after integrating out fields outside this boundary. According to the $~p$-adic version of Anti-de Sitter/Conformal Field Theory duality, two-point functions of dual theory living on the finite boundary are read out from the effective action. They can be regarded as two-point functions of a deformed conformal field theory over $~p$-adic numbers. |
2209.07168 | Tajron Juri\'c Dr. sc. | Kumar S. Gupta, Tajron Juri\'c, An{\dj}elo Samsarov, Ivica Smoli\'c | Noncommutativity and logarithmic correction to the black hole entropy | 14 pages, slightly differs from the published JHEP version | JHEP 02 (2023) 060 | 10.1007/JHEP02(2023)060 | RBI-ThPhys-2022-33, ZTF-EP-22-04 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the noncommutative corrections to the entropy of the
Reissner-Nordstr\"{o}m black hole using a $\kappa$-deformed scalar probe within
the brick-wall framework. The noncommutativity is encoded in an Abelian
Drinfeld twist constructed from the Killing vector fields of the
Reissner-Nordstr\"{o}m black hole. We show that the noncommutative effects
naturally lead to a logarithmic correction to the Bekenstein-Hawking entropy
even at the lowest order of the WKB approximation. In contrast, such
logarithmic corrections in the commutative setup appear only after the quantum
effects are included through higher order WKB corrections or through higher
loop effects. Our analysis thus provides further evidence towards the
hypothesis that the noncommutative framework is capable of encoding quantum
effects in curved spacetime.
| [
{
"created": "Thu, 15 Sep 2022 09:39:27 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Sep 2022 08:22:08 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Feb 2023 11:01:19 GMT",
"version": "v3"
}
] | 2023-02-14 | [
[
"Gupta",
"Kumar S.",
""
],
[
"Jurić",
"Tajron",
""
],
[
"Samsarov",
"Anđelo",
""
],
[
"Smolić",
"Ivica",
""
]
] | We study the noncommutative corrections to the entropy of the Reissner-Nordstr\"{o}m black hole using a $\kappa$-deformed scalar probe within the brick-wall framework. The noncommutativity is encoded in an Abelian Drinfeld twist constructed from the Killing vector fields of the Reissner-Nordstr\"{o}m black hole. We show that the noncommutative effects naturally lead to a logarithmic correction to the Bekenstein-Hawking entropy even at the lowest order of the WKB approximation. In contrast, such logarithmic corrections in the commutative setup appear only after the quantum effects are included through higher order WKB corrections or through higher loop effects. Our analysis thus provides further evidence towards the hypothesis that the noncommutative framework is capable of encoding quantum effects in curved spacetime. |
1304.4830 | Humberto Belich | K. Bakke, H. Belich | Relativistic Landau-He-McKellar-Wilkens quantization and relativistic
bound states solutions for a Coulomb-like potential induced by the Lorentz
symmetry breaking effects | 16 pages, no figures. arXiv admin note: text overlap with
arXiv:1208.6482 | Annals Phys.333,(2013)272 | 10.1016/j.aop.2013.03.009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we discuss the relativistic Landau-He-McKellar-Wilkens
quantization and relativistic bound states solutions for a Dirac neutral
particle under the influence of a Coulomb-like potential induced by the Lorentz
symmetry breaking effects. We present new possible scenarios of studying
Lorentz symmetry breaking effects by fixing the space-like vector field
background in special configurations. It is worth mentioning that we use the
criterion for studying the violation of Lorentz symmetry is that the gauge
symmetry should be preserved.
| [
{
"created": "Wed, 17 Apr 2013 14:02:02 GMT",
"version": "v1"
}
] | 2013-04-18 | [
[
"Bakke",
"K.",
""
],
[
"Belich",
"H.",
""
]
] | In this work, we discuss the relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Dirac neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects. We present new possible scenarios of studying Lorentz symmetry breaking effects by fixing the space-like vector field background in special configurations. It is worth mentioning that we use the criterion for studying the violation of Lorentz symmetry is that the gauge symmetry should be preserved. |
1410.5042 | Chenkai Qiao | Kang Zhou and Chenkai Qiao | General tree-level amplitudes by factorization limits | 29 pages | Eur.Phys.J. C75 (2015) 163 | 10.1140/epjc/s10052-015-3391-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To find boundary contributions is a rather difficult problem when applying
the BCFW recursion relation. In this paper, we propose an approach to bypass
this problem by calculating general tree amplitudes that contain no polynomial
using factorization limits. More explicitly, we construct an expression
iteratively, which produces correct factorization limits for all physical
poles, and does not contain other poles, then it should be the correct
amplitude. To some extent, this approach can be considered as an alternative
way to find boundary contributions. To demonstrate our approach, we present
several examples: $\phi^4$ theory, pure gauge theory, Einstein-Maxwell theory,
and Yukawa theory. While the amplitude allows the existence of polynomials
which satisfy correct mass dimension and helicities, this approach is not
applicable to determine the full amplitude.
| [
{
"created": "Sun, 19 Oct 2014 06:12:06 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jun 2015 04:03:32 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Zhou",
"Kang",
""
],
[
"Qiao",
"Chenkai",
""
]
] | To find boundary contributions is a rather difficult problem when applying the BCFW recursion relation. In this paper, we propose an approach to bypass this problem by calculating general tree amplitudes that contain no polynomial using factorization limits. More explicitly, we construct an expression iteratively, which produces correct factorization limits for all physical poles, and does not contain other poles, then it should be the correct amplitude. To some extent, this approach can be considered as an alternative way to find boundary contributions. To demonstrate our approach, we present several examples: $\phi^4$ theory, pure gauge theory, Einstein-Maxwell theory, and Yukawa theory. While the amplitude allows the existence of polynomials which satisfy correct mass dimension and helicities, this approach is not applicable to determine the full amplitude. |
1006.3543 | Bert Schroer | Bert Schroer | Unexplored regions in QFT and the conceptual foundations of the Standard
Model | 64 pages Latex, addition of new results improvement of presentation
arXiv admin note: text overlap with arXiv:1012.0013 | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive quantum matter of prescribed spin permits infinitely many
possibilities of covariantization in terms of spinorial (undotted/dotted)
pointlike fields, whereas massless finite helicity representations lead to
large gap in this spinorial spectrum which for s=1 excludes vectorpotentials.
Since the nonexistence of such pointlike generators is the result of a deep
structural clash between modular localization and the Hilbert space setting of
QT, there are two ways out: gauge theory which sacrifies the Hilbert space and
keeps the pointlike formalism and the use of stringlike potentials which allows
to preserve the Hilbert space. The latter setting contains also
string-localized charge-carrying operators whereas the gauge theoretic
formulation is limited to point-like generated observables. This description
also gives a much better insight into the Higgs mechanism which leads to a
revival of the more physical "Schwinger-Higgs" screening idea. The new
formalism is not limited to m=0, s=1, it leads to renormalizable interactions
in the sense of power-counting for all s in massless representations. The
existence of stringlike vectorpotentials is preempted by the Aharonov-Bohm
effect in QFT; it is well-known that the use of pointlike vectorpotentials in
Stokes theorem would with lead to wrong results. Their use in Maxwell's
equations is known to lead to zero Maxwell charge. The role of
string-localization in the problem behind the observed invisibility and
confinement of gluons and quarks leads to new questions and problems. PACS:
11.10.-z, 11.15-q, 11.10Gh, 12.20.-m, 12.38.-t
| [
{
"created": "Tue, 15 Jun 2010 10:35:33 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jul 2010 13:42:49 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Sep 2010 16:27:20 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Dec 2010 19:28:49 GMT",
"version": "v4"
},
{
"cre... | 2012-01-30 | [
[
"Schroer",
"Bert",
""
]
] | Massive quantum matter of prescribed spin permits infinitely many possibilities of covariantization in terms of spinorial (undotted/dotted) pointlike fields, whereas massless finite helicity representations lead to large gap in this spinorial spectrum which for s=1 excludes vectorpotentials. Since the nonexistence of such pointlike generators is the result of a deep structural clash between modular localization and the Hilbert space setting of QT, there are two ways out: gauge theory which sacrifies the Hilbert space and keeps the pointlike formalism and the use of stringlike potentials which allows to preserve the Hilbert space. The latter setting contains also string-localized charge-carrying operators whereas the gauge theoretic formulation is limited to point-like generated observables. This description also gives a much better insight into the Higgs mechanism which leads to a revival of the more physical "Schwinger-Higgs" screening idea. The new formalism is not limited to m=0, s=1, it leads to renormalizable interactions in the sense of power-counting for all s in massless representations. The existence of stringlike vectorpotentials is preempted by the Aharonov-Bohm effect in QFT; it is well-known that the use of pointlike vectorpotentials in Stokes theorem would with lead to wrong results. Their use in Maxwell's equations is known to lead to zero Maxwell charge. The role of string-localization in the problem behind the observed invisibility and confinement of gluons and quarks leads to new questions and problems. PACS: 11.10.-z, 11.15-q, 11.10Gh, 12.20.-m, 12.38.-t |
2003.08438 | Javier Molina Dr | Jose J. Fernandez-Melgarejo and Javier Molina-Vilaplana | Non-Gaussian Entanglement Renormalization for Quantum Fields | v2: (43 pages) substantial improvement to the optimization procedure
of the circuit for the $\phi^4$ model (Section 5.3). A new appendix is added
to illustrate what are the features of the ground state of the $\lambda
\phi^4$ theory that captured by the icMERA tensor network. Accepted for
publication in JHEP | JHEP07(2020)149 | 10.1007/JHEP07(2020)149 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, a non-Gaussian cMERA tensor network for interacting quantum
field theories (icMERA) is presented. This consists of a continuous tensor
network circuit in which the generator of the entanglement renormalization of
the wavefunction is nonperturbatively extended with nonquadratic variational
terms. The icMERA circuit nonperturbatively implements a set of scale dependent
nonlinear transformations on the fields of the theory, which suppose a
generalization of the scale dependent linear transformations induced by the
Gaussian cMERA circuit. Here we present these transformations for the case of
self-interacting scalar and fermionic field theories. Finally, the icMERA
tensor network is fully optimized for the $\lambda \phi^4$ theory in $(1+1)$
dimensions. This allows us to evaluate, nonperturbatively, the connected parts
of the two- and four-point correlation functions. Our results show that icMERA
wavefunctionals encode proper non-Gaussian correlations of the theory, thus
providing a new variational tool to study phenomena related with strongly
interacting field theories.
| [
{
"created": "Wed, 18 Mar 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 11:18:57 GMT",
"version": "v2"
}
] | 2020-07-24 | [
[
"Fernandez-Melgarejo",
"Jose J.",
""
],
[
"Molina-Vilaplana",
"Javier",
""
]
] | In this work, a non-Gaussian cMERA tensor network for interacting quantum field theories (icMERA) is presented. This consists of a continuous tensor network circuit in which the generator of the entanglement renormalization of the wavefunction is nonperturbatively extended with nonquadratic variational terms. The icMERA circuit nonperturbatively implements a set of scale dependent nonlinear transformations on the fields of the theory, which suppose a generalization of the scale dependent linear transformations induced by the Gaussian cMERA circuit. Here we present these transformations for the case of self-interacting scalar and fermionic field theories. Finally, the icMERA tensor network is fully optimized for the $\lambda \phi^4$ theory in $(1+1)$ dimensions. This allows us to evaluate, nonperturbatively, the connected parts of the two- and four-point correlation functions. Our results show that icMERA wavefunctionals encode proper non-Gaussian correlations of the theory, thus providing a new variational tool to study phenomena related with strongly interacting field theories. |
2405.09323 | David Andriot | David Andriot, Susha Parameswaran, Dimitrios Tsimpis, Timm Wrase,
Ivonne Zavala | Exponential Quintessence: curved, steep and stringy? | 53 pages + appendices, several figures. A notebook with all figures
is provided as an ancillary file | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the possibility that our universe's current accelerated expansion
is explained by a quintessence model with an exponential scalar potential, $V
=V_0\, e^{-\lambda\, \phi}$, keeping an eye towards $\lambda \geq \sqrt{2}$ and
an open universe, favorable to a string theory realisation and with no
cosmological horizon. We work out the full cosmology of the model, including
matter, radiation, and optionally negative spatial curvature, for all
$\lambda>0$, performing an extensive analysis of the dynamical system and its
phase space. The minimal physical requirements of a past epoch of radiation
domination and an accelerated expansion today lead to an upper bound $\lambda
\lesssim \sqrt{3}$, which is driven slightly up in the presence of
observationally allowed spatial curvature. Cosmological solutions start
universally in a kination epoch, go through radiation and matter dominated
phases and enter an epoch of acceleration, which is only transient for
$\lambda>\sqrt{2}$. Field distances traversed between BBN and today are
sub-Planckian. We discuss possible string theory origins and phenomenological
challenges, such as time variation of fundamental constants. We provide
theoretical predictions for the model parameters to be fitted to data, most
notably the varying dark energy equation of state parameter, in light of recent
results from DES-Y5 and DESI.
| [
{
"created": "Wed, 15 May 2024 13:24:39 GMT",
"version": "v1"
}
] | 2024-05-16 | [
[
"Andriot",
"David",
""
],
[
"Parameswaran",
"Susha",
""
],
[
"Tsimpis",
"Dimitrios",
""
],
[
"Wrase",
"Timm",
""
],
[
"Zavala",
"Ivonne",
""
]
] | We explore the possibility that our universe's current accelerated expansion is explained by a quintessence model with an exponential scalar potential, $V =V_0\, e^{-\lambda\, \phi}$, keeping an eye towards $\lambda \geq \sqrt{2}$ and an open universe, favorable to a string theory realisation and with no cosmological horizon. We work out the full cosmology of the model, including matter, radiation, and optionally negative spatial curvature, for all $\lambda>0$, performing an extensive analysis of the dynamical system and its phase space. The minimal physical requirements of a past epoch of radiation domination and an accelerated expansion today lead to an upper bound $\lambda \lesssim \sqrt{3}$, which is driven slightly up in the presence of observationally allowed spatial curvature. Cosmological solutions start universally in a kination epoch, go through radiation and matter dominated phases and enter an epoch of acceleration, which is only transient for $\lambda>\sqrt{2}$. Field distances traversed between BBN and today are sub-Planckian. We discuss possible string theory origins and phenomenological challenges, such as time variation of fundamental constants. We provide theoretical predictions for the model parameters to be fitted to data, most notably the varying dark energy equation of state parameter, in light of recent results from DES-Y5 and DESI. |
hep-th/9603149 | Michel Rausch | A. Perez, M. Rausch de Traubenberg, P. Simon | 2D Fractional Supersymmetry for Rational Conformal Field Theory.
Application for Third-Integer Spin States | LaTex, 20 pages. Revised in response to referees' Comments | Nucl.Phys.B482:325-344,1996 | 10.1016/S0550-3213(96)00522-6 | LPT Strasbourg 96-07 | hep-th | null | A 2D- fractional supersymmetry theory is algebraically constructed. The
Lagrangian is derived using an adapted superspace including, in addition to a
scalar field, two fields with spins 1/3,2/3. This theory turns out to be a
rational conformal field theory. The symmetry of this model goes beyond the
super Virasoro algebra and connects these third-integer spin states. Besides
the stress-momentum tensor, we obtain a supercurrent of spin 4/3. Cubic
relations are involved in order to close the algebra; the basic algebra is no
longer a Lie or a super-Lie algebra. The central charge of this model is found
to be 5/3. Finally, we analyse the form that a local invariant action should
take.
| [
{
"created": "Fri, 22 Mar 1996 14:21:32 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 1997 10:09:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Perez",
"A.",
""
],
[
"de Traubenberg",
"M. Rausch",
""
],
[
"Simon",
"P.",
""
]
] | A 2D- fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with spins 1/3,2/3. This theory turns out to be a rational conformal field theory. The symmetry of this model goes beyond the super Virasoro algebra and connects these third-integer spin states. Besides the stress-momentum tensor, we obtain a supercurrent of spin 4/3. Cubic relations are involved in order to close the algebra; the basic algebra is no longer a Lie or a super-Lie algebra. The central charge of this model is found to be 5/3. Finally, we analyse the form that a local invariant action should take. |
1412.5189 | Adel Bilal | Adel Bilal and Laetitia Leduc | 2D Quantum Gravity on Compact Riemann Surfaces and Two-Loop Partition
Function: Circumventing the c=1 Barrier? | 54 pages | null | 10.1016/j.nuclphysb.2015.04.026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two-dimensional quantum gravity on arbitrary genus Riemann surfaces
in the Kaehler formalism where the basic quantum field is the (Laplacian of
the) Kaehler potential. We do a careful first-principles computation of the
fixed-area partition function $Z[A]$ up to and including all two-loop
contributions. This includes genuine two-loop diagrams as determined by the
Liouville action, one-loop diagrams resulting from the non-trivial measure on
the space of metrics, as well as one-loop diagrams involving various
counterterm vertices. Contrary to what is often believed, several such
counterterms, in addition to the usual cosmological constant, do and must
occur. We consistently determine the relevant counterterms from a one-loop
computation of the full two-point Green's function of the Kaehler field.
Throughout this paper we use the general spectral cutoff regularization
developed recently and which is well-suited for multi-loop computations on
curved manifolds. At two loops, while all "unwanted" contributions to $\ln
(Z[A]/Z[A_0])$ correctly cancel, it appears that the finite coefficient of $\ln
(A/A_0)$ does depend on the finite parts of certain counterterm coefficients,
i.e. on the finite renormalization conditions one has to impose. There exists a
choice that reproduces the famous KPZ-scaling, but it seems to be only one
consistent choice among others. Maybe, this hints at the possibility that other
renormalization conditions could eventually provide a way to circumvent the
famous $c=1$ barrier.
| [
{
"created": "Tue, 16 Dec 2014 21:00:32 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Bilal",
"Adel",
""
],
[
"Leduc",
"Laetitia",
""
]
] | We study two-dimensional quantum gravity on arbitrary genus Riemann surfaces in the Kaehler formalism where the basic quantum field is the (Laplacian of the) Kaehler potential. We do a careful first-principles computation of the fixed-area partition function $Z[A]$ up to and including all two-loop contributions. This includes genuine two-loop diagrams as determined by the Liouville action, one-loop diagrams resulting from the non-trivial measure on the space of metrics, as well as one-loop diagrams involving various counterterm vertices. Contrary to what is often believed, several such counterterms, in addition to the usual cosmological constant, do and must occur. We consistently determine the relevant counterterms from a one-loop computation of the full two-point Green's function of the Kaehler field. Throughout this paper we use the general spectral cutoff regularization developed recently and which is well-suited for multi-loop computations on curved manifolds. At two loops, while all "unwanted" contributions to $\ln (Z[A]/Z[A_0])$ correctly cancel, it appears that the finite coefficient of $\ln (A/A_0)$ does depend on the finite parts of certain counterterm coefficients, i.e. on the finite renormalization conditions one has to impose. There exists a choice that reproduces the famous KPZ-scaling, but it seems to be only one consistent choice among others. Maybe, this hints at the possibility that other renormalization conditions could eventually provide a way to circumvent the famous $c=1$ barrier. |
1706.09256 | Evgeny Skvortsov D | A.N. Manashov, E.D. Skvortsov, M. Strohmaier | Higher spin currents in the critical $O(N)$ vector model at $1/N^2$ | 17 pages, 5 figures; a sign typo fixed | null | 10.1007/JHEP08(2017)106 | DESY 17 -- 095, LMU-ASC 36/17 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the anomalous dimensions of higher spin singlet currents in the
critical $O(N)$ vector model at order $1/N^2$. The results are shown to be in
agreement with the four-loop perturbative computation in $\phi^4$ theory in
$4-2\epsilon$ dimensions. It is known that the order $1/N$ anomalous dimensions
of higher-spin currents happen to be the same in the Gross-Neveu and the
critical vector model. On the contrary, the order $1/N^2$ corrections are
different. The results can also be interpreted as a prediction for the two-loop
computation in the dual higher-spin gravity.
| [
{
"created": "Wed, 28 Jun 2017 12:43:44 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jun 2019 13:00:05 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Apr 2020 10:58:13 GMT",
"version": "v3"
}
] | 2020-05-01 | [
[
"Manashov",
"A. N.",
""
],
[
"Skvortsov",
"E. D.",
""
],
[
"Strohmaier",
"M.",
""
]
] | We calculate the anomalous dimensions of higher spin singlet currents in the critical $O(N)$ vector model at order $1/N^2$. The results are shown to be in agreement with the four-loop perturbative computation in $\phi^4$ theory in $4-2\epsilon$ dimensions. It is known that the order $1/N$ anomalous dimensions of higher-spin currents happen to be the same in the Gross-Neveu and the critical vector model. On the contrary, the order $1/N^2$ corrections are different. The results can also be interpreted as a prediction for the two-loop computation in the dual higher-spin gravity. |
hep-th/9310072 | Chand Devchand | Ch. Devchand and V. Ogievetsky | The super self-dual matreoshka | 12 pages, Bonn-HE-93-33, Dubna-E2-93-360 | null | null | null | hep-th | null | In this talk we review the harmonic space formulation of the twistor
transform for the supersymmetric self-dual Yang-Mills equations. The recently
established harmonic-twistor correspondence for the N-extended supersymmetric
gauge theories is described. It affords an explicit construction of solutions
to these equations which displays a remarkable matreoshka-like structure
determined by the N=0 core.
| [
{
"created": "Wed, 13 Oct 1993 10:08:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Devchand",
"Ch.",
""
],
[
"Ogievetsky",
"V.",
""
]
] | In this talk we review the harmonic space formulation of the twistor transform for the supersymmetric self-dual Yang-Mills equations. The recently established harmonic-twistor correspondence for the N-extended supersymmetric gauge theories is described. It affords an explicit construction of solutions to these equations which displays a remarkable matreoshka-like structure determined by the N=0 core. |
2004.00376 | Philip D. Mannheim | Philip D. Mannheim | Ghost Problems from Pauli-Villars to Fourth-Order Quantum Gravity and
their Resolution | 10 pages. Essay written for the Gravity Research Foundation 2020
Awards for Essays on Gravitation | null | 10.1142/S0218271820430099 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the history of the ghost problem in quantum field theory from the
Pauli-Villars regulator theory to currently popular fourth-order derivative
quantum gravity theories. While these theories all appear to have
unitarity-violating ghost states with negative norm, we show that in fact these
ghost states only appear because the theories are being formulated in the wrong
Hilbert space. In these theories the Hamiltonians are not Hermitian but instead
possess an antilinear symmetry. Consequently, one cannot use inner products
that are built out of states and their Hermitian conjugates. Rather, one must
use inner products built out of states and their conjugates with respect to the
antilinear symmetry, and these latter inner products are positive. In this way
one can build quantum theories of gravity in four spacetime dimensions that are
unitary.
| [
{
"created": "Wed, 1 Apr 2020 12:25:08 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Mannheim",
"Philip D.",
""
]
] | We review the history of the ghost problem in quantum field theory from the Pauli-Villars regulator theory to currently popular fourth-order derivative quantum gravity theories. While these theories all appear to have unitarity-violating ghost states with negative norm, we show that in fact these ghost states only appear because the theories are being formulated in the wrong Hilbert space. In these theories the Hamiltonians are not Hermitian but instead possess an antilinear symmetry. Consequently, one cannot use inner products that are built out of states and their Hermitian conjugates. Rather, one must use inner products built out of states and their conjugates with respect to the antilinear symmetry, and these latter inner products are positive. In this way one can build quantum theories of gravity in four spacetime dimensions that are unitary. |
hep-th/0703022 | Ari Pakman | Atish Dabholkar, Ari Pakman | Exact chiral ring of AdS(3)/CFT(2) | 47 pages, JHEP style. v2:references added, minor changes.
v3:references added | Adv.Theor.Math.Phys.13:409-462,2009 | null | TIFR-TH-06-09, YITP-SB-06-09 | hep-th | null | We carry out an exact worldsheet computation of tree level three-point
correlators of chiral operators in string theory on AdS(3) x S^3 x T^4 with
NS-NS flux. We present a simple representation for the string chiral operators
in the coordinate basis of the dual boundary CFT. Striking cancelations occur
between the three-point functions of the H3+ and the SU(2) WZW models which
result in a simple factorized form for the final correlators. We show, by
fixing a single free parameter in the H3+ WZW model, that the fusion rules and
the structure constants of the N=2 chiral ring in the bulk are in precise
agreement with earlier computations in the boundary CFT of the symmetric
product of T^4 at the orbifold point in the large N limit.
| [
{
"created": "Fri, 2 Mar 2007 20:50:19 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2007 17:37:41 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jun 2007 19:07:37 GMT",
"version": "v3"
}
] | 2009-06-12 | [
[
"Dabholkar",
"Atish",
""
],
[
"Pakman",
"Ari",
""
]
] | We carry out an exact worldsheet computation of tree level three-point correlators of chiral operators in string theory on AdS(3) x S^3 x T^4 with NS-NS flux. We present a simple representation for the string chiral operators in the coordinate basis of the dual boundary CFT. Striking cancelations occur between the three-point functions of the H3+ and the SU(2) WZW models which result in a simple factorized form for the final correlators. We show, by fixing a single free parameter in the H3+ WZW model, that the fusion rules and the structure constants of the N=2 chiral ring in the bulk are in precise agreement with earlier computations in the boundary CFT of the symmetric product of T^4 at the orbifold point in the large N limit. |
2212.13940 | Mukund Rangamani | R. Loganayagam, Mukund Rangamani, Julio Virrueta | Holographic thermal correlators: A tale of Fuchsian ODEs and integration
contours | 35 pages plus appendices. v2: improvements in presentation. published
version | null | 10.1007/JHEP07(2023)008 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze real-time thermal correlation functions of conserved currents in
holographic field theories using the grSK geometry, which provides a contour
prescription for their evaluation. We demonstrate its efficacy, arguing that
there are situations involving components of conserved currents, or derivative
interactions, where such a prescription is, in fact, essential. To this end, we
first undertake a careful analysis of the linearized wave equations in AdS
black hole backgrounds and identify the ramification points of the solutions as
a function of (complexified) frequency and momentum. All the equations we study
are Fuchsian with only regular singular points that for the most part are
associated with the geometric features of the background. Special features,
e.g., the appearance of apparent singular points at the horizon, whence
outgoing solutions end up being analytic, arise at higher codimension loci in
parameter space. Using the grSK geometry, we demonstrate that these apparent
singularities do not correspond to any interesting physical features in
higher-point functions. We also argue that the Schwinger-Keldysh collapse and
KMS conditions, implemented by the grSK geometry, continue to hold even in the
presence of such singularities. For charged black holes above a critical
charge, the energy density operator does not possess an exponentially growing
mode, associated with `pole-skipping' (from one such apparent singularity). Our
analysis suggests that the connection between the scrambling physics of black
holes and energy transport has, at best, a limited domain of validity.
| [
{
"created": "Wed, 28 Dec 2022 16:40:07 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jul 2023 22:07:22 GMT",
"version": "v2"
}
] | 2023-08-01 | [
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Virrueta",
"Julio",
""
]
] | We analyze real-time thermal correlation functions of conserved currents in holographic field theories using the grSK geometry, which provides a contour prescription for their evaluation. We demonstrate its efficacy, arguing that there are situations involving components of conserved currents, or derivative interactions, where such a prescription is, in fact, essential. To this end, we first undertake a careful analysis of the linearized wave equations in AdS black hole backgrounds and identify the ramification points of the solutions as a function of (complexified) frequency and momentum. All the equations we study are Fuchsian with only regular singular points that for the most part are associated with the geometric features of the background. Special features, e.g., the appearance of apparent singular points at the horizon, whence outgoing solutions end up being analytic, arise at higher codimension loci in parameter space. Using the grSK geometry, we demonstrate that these apparent singularities do not correspond to any interesting physical features in higher-point functions. We also argue that the Schwinger-Keldysh collapse and KMS conditions, implemented by the grSK geometry, continue to hold even in the presence of such singularities. For charged black holes above a critical charge, the energy density operator does not possess an exponentially growing mode, associated with `pole-skipping' (from one such apparent singularity). Our analysis suggests that the connection between the scrambling physics of black holes and energy transport has, at best, a limited domain of validity. |
1203.2929 | Dharmesh Jain | Dharmesh Jain, Warren Siegel | N=2 Super-Yang-Mills Theory from a Chern-Simons Action | 1+8+1 pages, 1 figure | Phys.Rev.D86:125017,2012 | 10.1103/PhysRevD.86.125017 | YITP-SB-12-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a Chern-Simons action for N=2 Super-Yang-Mills theory (SYM) in
'full' N=2 superspace (hyperspace) augmented by coordinates of the internal
SU(2) group and show that this action can be reduced to the usual SYM action in
the Harmonic hyperspace. We also discover that the 'choice' of Harmonic
hyperspace is not unique and under suitable conditions, further reduction to
the well-known Projective hyperspace is possible.
| [
{
"created": "Tue, 13 Mar 2012 20:01:03 GMT",
"version": "v1"
}
] | 2012-12-12 | [
[
"Jain",
"Dharmesh",
""
],
[
"Siegel",
"Warren",
""
]
] | We present a Chern-Simons action for N=2 Super-Yang-Mills theory (SYM) in 'full' N=2 superspace (hyperspace) augmented by coordinates of the internal SU(2) group and show that this action can be reduced to the usual SYM action in the Harmonic hyperspace. We also discover that the 'choice' of Harmonic hyperspace is not unique and under suitable conditions, further reduction to the well-known Projective hyperspace is possible. |
1911.11724 | Jie Gu | Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang | Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and
Chains | 54 pages, 10 tables, references added | null | 10.1007/JHEP07(2020)135 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish the elliptic blowup equations for E-strings and M-strings and
solve elliptic genera and refined BPS invariants from them. Such elliptic
blowup equations can be derived from a path integral interpretation. We provide
toric hypersurface construction for the Calabi-Yau geometries of M-strings and
those of E-strings with up to three mass parameters turned on, as well as an
approach to derive the perturbative prepotential directly from the local
description of the Calabi-Yau threefolds. We also demonstrate how to
systematically obtain blowup equations for all rank one 5d SCFTs from E-string
by blow-down operations. Finally, we present blowup equations for E-M and M
string chains.
| [
{
"created": "Tue, 26 Nov 2019 18:02:49 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 2019 13:41:29 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Gu",
"Jie",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Sun",
"Kaiwen",
""
],
[
"Wang",
"Xin",
""
]
] | We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation. We provide toric hypersurface construction for the Calabi-Yau geometries of M-strings and those of E-strings with up to three mass parameters turned on, as well as an approach to derive the perturbative prepotential directly from the local description of the Calabi-Yau threefolds. We also demonstrate how to systematically obtain blowup equations for all rank one 5d SCFTs from E-string by blow-down operations. Finally, we present blowup equations for E-M and M string chains. |
1404.2190 | Tapobrata Sarkar | Anshuman Dey, Subhash Mahapatra, Tapobrata Sarkar | Generalized Holographic Superconductors with Higher Derivative Couplings | 1 + 27 pages, LaTeX, 24 .eps figures. References added, typos fixed,
discussion on optical properties expanded. Version accepted in JHEP | null | 10.1007/JHEP06(2014)147 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and study generalized holographic superconductors with higher
derivative couplings between the field strength tensor and a complex scalar
field, in four dimensional AdS black hole backgrounds. We study this theory in
the probe limit, as well as with backreaction. There are multiple tuning
parameters in the theory, and with two non-zero parameters, we show that the
theory has a rich phase structure, and in particular, the transition from the
normal to the superconducting phase can be tuned to be of first order or of
second order within a window of one of these. This is established numerically
as well as by computing the free energy of the boundary theory. We further
present analytical results for the critical temperature of the model, and
compare these with numerical analysis. Optical properties of this system are
also studied numerically in the probe limit, and our results show evidence for
negative refraction at low frequencies.
| [
{
"created": "Tue, 8 Apr 2014 15:55:06 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2014 14:53:28 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Dey",
"Anshuman",
""
],
[
"Mahapatra",
"Subhash",
""
],
[
"Sarkar",
"Tapobrata",
""
]
] | We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe limit, as well as with backreaction. There are multiple tuning parameters in the theory, and with two non-zero parameters, we show that the theory has a rich phase structure, and in particular, the transition from the normal to the superconducting phase can be tuned to be of first order or of second order within a window of one of these. This is established numerically as well as by computing the free energy of the boundary theory. We further present analytical results for the critical temperature of the model, and compare these with numerical analysis. Optical properties of this system are also studied numerically in the probe limit, and our results show evidence for negative refraction at low frequencies. |
hep-th/9606172 | Friedemann Brandt | Friedemann Brandt, Marc Henneaux, Andr\'e Wilch | Global Symmetries in the Antifield-Formalism | 12 pages, no figures, latex | Phys.Lett. B387 (1996) 320-326 | 10.1016/0370-2693(96)01034-9 | KUL-TF-96/15, ULB-TH-96/10 | hep-th | null | In this paper, two things are done. (i) First, it is shown that any global
symmetry of a gauge-invariant theory can be extended to the ghosts and the
antifields so as to leave invariant the solution of the master-equation (before
gauge fixing). (ii) Second, it is proved that the incorporation of the rigid
symmetries to the solution of the master-equation through the introduction of a
constant ghost for each global symmetry can be obstructed already at the
classical level whenever the theory possesses higher order conservation laws.
Explicit examples are given.
| [
{
"created": "Wed, 26 Jun 1996 16:50:10 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Brandt",
"Friedemann",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Wilch",
"André",
""
]
] | In this paper, two things are done. (i) First, it is shown that any global symmetry of a gauge-invariant theory can be extended to the ghosts and the antifields so as to leave invariant the solution of the master-equation (before gauge fixing). (ii) Second, it is proved that the incorporation of the rigid symmetries to the solution of the master-equation through the introduction of a constant ghost for each global symmetry can be obstructed already at the classical level whenever the theory possesses higher order conservation laws. Explicit examples are given. |
2301.06068 | Jakub Gizbert-Studnicki | Jakub Gizbert-Studnicki | Semiclassical and Continuum Limits of Four-Dimensional CDT | Contribution to the "Handbook of Quantum Gravity" (Eds. C. Bambi, L.
Modesto and I.L. Shapiro, Springer Singapore), expected to appear in 2023 | null | null | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article discusses the infrared and the (perspective) ultraviolet limits
of four-dimensional Causal Dynamical Triangulations (CDT). CDT is a
non-perturabtive and background-independent approach to quantization of
Einstein's gravity, based on a lattice regularization of the
quantum-gravitational path integral. It is shown that inside the, so-called, de
Sitter phase one recovers a four-dimensional semiclassical universe, where
behaviour of the scale factor is consistent with classical solutions of
Einstein's field equations and fluctuations of the scale factor are very
accurately described by a simple minisuperspace effective action. It is argued
that some of the phase transitions bordering the semiclassical phase are
higher-order transitions, which opens a possibility of defining a continuum
limit of CDT. Finally, it is discussed how to define the renormalization group
flow in CDT and then how to search for a UV fixed point in which, in the spirit
of asymptotic safety, quantum theory of gravity could become non-perturbatively
renormalizable and thus valid up to arbitrarily short distance scales.
| [
{
"created": "Sun, 15 Jan 2023 10:46:04 GMT",
"version": "v1"
}
] | 2023-01-18 | [
[
"Gizbert-Studnicki",
"Jakub",
""
]
] | This article discusses the infrared and the (perspective) ultraviolet limits of four-dimensional Causal Dynamical Triangulations (CDT). CDT is a non-perturabtive and background-independent approach to quantization of Einstein's gravity, based on a lattice regularization of the quantum-gravitational path integral. It is shown that inside the, so-called, de Sitter phase one recovers a four-dimensional semiclassical universe, where behaviour of the scale factor is consistent with classical solutions of Einstein's field equations and fluctuations of the scale factor are very accurately described by a simple minisuperspace effective action. It is argued that some of the phase transitions bordering the semiclassical phase are higher-order transitions, which opens a possibility of defining a continuum limit of CDT. Finally, it is discussed how to define the renormalization group flow in CDT and then how to search for a UV fixed point in which, in the spirit of asymptotic safety, quantum theory of gravity could become non-perturbatively renormalizable and thus valid up to arbitrarily short distance scales. |
hep-th/0209081 | Noriko Nakayama | Noriko Nakayama, Katsuyuki Sugiyama and Kentaroh Yoshida (Kyoto Univ.) | Ground State of Supermembrane on PP-wave | 27 pages, LaTeX, typos corrected | Phys.Rev. D68 (2003) 026001 | 10.1103/PhysRevD.68.026001 | KUCP-0217 | hep-th | null | We consider the ground state of supermembrane on the maximally supersymmetric
pp-wave background by using the quantum-mechanical procedure of de
Wit-Hoppe-Nicolai. In the pp-wave case the ground state has non-trivial
structure even in the zero-mode Hamiltonian, which is identical with that of
superparticles on the pp-wave and resembles supersymmetric harmonic
oscillators. The supergravity multiplet in the flat case is splitting with a
certain energy difference. We explicitly construct the unique supersymmetric
ground-state wave function of the zero-mode Hamiltonian, which is obviously
normalizable. Moreover, we discuss the nonzero-mode Hamiltonian and construct
an example for the ground-state wave function with a truncation of the
variables. This special solution seems non-normalizable but its L^2-norm can be
represented by an asymptotic series.
| [
{
"created": "Tue, 10 Sep 2002 10:34:39 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Sep 2002 10:58:35 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Nakayama",
"Noriko",
"",
"Kyoto Univ."
],
[
"Sugiyama",
"Katsuyuki",
"",
"Kyoto Univ."
],
[
"Yoshida",
"Kentaroh",
"",
"Kyoto Univ."
]
] | We consider the ground state of supermembrane on the maximally supersymmetric pp-wave background by using the quantum-mechanical procedure of de Wit-Hoppe-Nicolai. In the pp-wave case the ground state has non-trivial structure even in the zero-mode Hamiltonian, which is identical with that of superparticles on the pp-wave and resembles supersymmetric harmonic oscillators. The supergravity multiplet in the flat case is splitting with a certain energy difference. We explicitly construct the unique supersymmetric ground-state wave function of the zero-mode Hamiltonian, which is obviously normalizable. Moreover, we discuss the nonzero-mode Hamiltonian and construct an example for the ground-state wave function with a truncation of the variables. This special solution seems non-normalizable but its L^2-norm can be represented by an asymptotic series. |
hep-th/9611047 | null | J.G. Russo and A.A. Tseytlin | Waves, boosted branes and BPS states in M-theory | 26 pages, harvmac (minor corrections; T-duality relation between IIB
string-string solution and boosted 0-brane made explicit) | Nucl.Phys.B490:121-144,1997 | 10.1016/S0550-3213(97)00055-2 | CERN-TH/96-321, Imperial/TP/96-97/03 | hep-th | null | Certain type II string non-threshold BPS bound states are shown to be related
to non-static backgrounds in 11-dimensional theory. The 11-d counterpart of the
bound state of NS-NS and R-R type IIB strings wound around a circle is a pure
gravitational wave propagating along a generic cycle of 2-torus. The extremal
(q_1,q_2) string with non-vanishing momentum along the circle (or infinitely
boosted black string) corresponds in D=11 to a 2-brane wrapped around 2-torus
with momentum flow along the (q_1,q_2) cycle. Applying duality transformations
to the string-string solution we find type IIA background representing a bound
state of 2-brane and 0-brane. Its lift to 11 dimensions is simply a 2-brane
finitely boosted in transverse direction. This 11-d solution interpolates
between a static 2-brane (zero boost) and a gravitational wave in 11-th
dimension (infinite boost). Similar interpretations are given for various bound
states involving 5-branes. Relations between transversely boosted M-branes and
1/2 supersymmetric non-threshold bound states 2+0 and 5+0 complement relations
between M-branes with momentum in longitudinal direction and 1/4 supersymmetric
threshold bound states 1+0 and 4+0. In the second part of the paper we
establish the correspondence between the BPS states of type IIB strings on a
circle and oscillating states of a fundamental supermembrane wrapped around a
2-torus. We show that the (q_1,q_2) string spectrum is reproduced by the
membrane BPS spectrum, determined using a certain limit. This supports the
picture suggested by Schwarz.
| [
{
"created": "Thu, 7 Nov 1996 23:34:47 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Nov 1996 19:18:28 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Nov 1996 20:07:10 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | Certain type II string non-threshold BPS bound states are shown to be related to non-static backgrounds in 11-dimensional theory. The 11-d counterpart of the bound state of NS-NS and R-R type IIB strings wound around a circle is a pure gravitational wave propagating along a generic cycle of 2-torus. The extremal (q_1,q_2) string with non-vanishing momentum along the circle (or infinitely boosted black string) corresponds in D=11 to a 2-brane wrapped around 2-torus with momentum flow along the (q_1,q_2) cycle. Applying duality transformations to the string-string solution we find type IIA background representing a bound state of 2-brane and 0-brane. Its lift to 11 dimensions is simply a 2-brane finitely boosted in transverse direction. This 11-d solution interpolates between a static 2-brane (zero boost) and a gravitational wave in 11-th dimension (infinite boost). Similar interpretations are given for various bound states involving 5-branes. Relations between transversely boosted M-branes and 1/2 supersymmetric non-threshold bound states 2+0 and 5+0 complement relations between M-branes with momentum in longitudinal direction and 1/4 supersymmetric threshold bound states 1+0 and 4+0. In the second part of the paper we establish the correspondence between the BPS states of type IIB strings on a circle and oscillating states of a fundamental supermembrane wrapped around a 2-torus. We show that the (q_1,q_2) string spectrum is reproduced by the membrane BPS spectrum, determined using a certain limit. This supports the picture suggested by Schwarz. |
hep-th/0005234 | Thomas Thiemann | T. Thiemann, O. Winkler | Gauge Field Theory Coherent States (GCS) : III. Ehrenfest Theorems | 49 pages, LATEX, no figures | Class.Quant.Grav. 18 (2001) 4629-4682 | 10.1088/0264-9381/18/21/315 | AEI-2000-029 | hep-th gr-qc hep-lat | null | In the preceding paper of this series of articles we established peakedness
properties of a family of coherent states that were introduced by Hall for any
compact gauge group and were later generalized to gauge field theory by
Ashtekar, Lewandowski, Marolf, Mour\~ao and Thiemann.
In this paper we establish the ``Ehrenfest Property'' of these states which
are labelled by a point (A,E), a connection and an electric field, in the
classical phase space. By this we mean that i) The expectation value of {\it
all} elementary quantum operators $\hat{O}$ with respect to the coherent state
with label (A,E) is given to zeroth order in $\hbar$ by the value of the
corresponding classical function O evaluated at the phase space point (A,E) and
ii) The expectation value of the commutator between two elementary quantum
operators $[\hat{O}_1,\hat{O}_2]/(i\hbar)$ divided by $i\hbar$ with respect to
the coherent state with label (A,E) is given to zeroth order in $\hbar$ by the
value of the Poisson bracket between the corresponding classical functions
$\{O_1,O_2\}$ evaluated at the phase space point (A,E).
These results can be extended to all polynomials of elementary operators and
to a certain non-polynomial function of the elementary operators associated
with the volume operator of quantum general relativity. It follows that the
infinitesimal quantum dynamics of quantum general relativity is to zeroth order
in $\hbar$ indeed given by classical general relativity.
| [
{
"created": "Thu, 25 May 2000 14:51:06 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Thiemann",
"T.",
""
],
[
"Winkler",
"O.",
""
]
] | In the preceding paper of this series of articles we established peakedness properties of a family of coherent states that were introduced by Hall for any compact gauge group and were later generalized to gauge field theory by Ashtekar, Lewandowski, Marolf, Mour\~ao and Thiemann. In this paper we establish the ``Ehrenfest Property'' of these states which are labelled by a point (A,E), a connection and an electric field, in the classical phase space. By this we mean that i) The expectation value of {\it all} elementary quantum operators $\hat{O}$ with respect to the coherent state with label (A,E) is given to zeroth order in $\hbar$ by the value of the corresponding classical function O evaluated at the phase space point (A,E) and ii) The expectation value of the commutator between two elementary quantum operators $[\hat{O}_1,\hat{O}_2]/(i\hbar)$ divided by $i\hbar$ with respect to the coherent state with label (A,E) is given to zeroth order in $\hbar$ by the value of the Poisson bracket between the corresponding classical functions $\{O_1,O_2\}$ evaluated at the phase space point (A,E). These results can be extended to all polynomials of elementary operators and to a certain non-polynomial function of the elementary operators associated with the volume operator of quantum general relativity. It follows that the infinitesimal quantum dynamics of quantum general relativity is to zeroth order in $\hbar$ indeed given by classical general relativity. |
1306.1450 | Peter Kazinski | P.O. Kazinski | Radiation of de-excited electrons at large times in a strong
electromagnetic plane wave | 37 pp., 1 fig | Annals Phys. 339, 430 (2013) | 10.1016/j.aop.2013.09.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The late time asymptotics of the physical solutions to the Lorentz-Dirac
equation in the electromagnetic external fields of simple configurations -- the
constant homogeneous field, the linearly polarized plane wave (in particular,
the constant uniform crossed field), and the circularly polarized plane wave --
are found. The solutions to the Landau-Lifshitz equation for the external
electromagnetic fields admitting a two-parametric symmetry group, which include
as a particular case the above mentioned field configurations, are obtained.
General properties of the total radiation power of a charged particle are
established. In particular, for a circularly polarized wave and constant
uniform crossed fields, the total radiation power in the asymptotic regime is
independent of the charge and the external field strength, when expressed in
terms of the proper-time, and equals a half of the rest energy of a charged
particle divided by its proper-time. The spectral densities of the radiation
power formed on the late time asymptotics are derived for a charged particle
moving in the external electromagnetic fields of the simple configurations
pointed above.
| [
{
"created": "Thu, 6 Jun 2013 15:58:18 GMT",
"version": "v1"
}
] | 2014-09-09 | [
[
"Kazinski",
"P. O.",
""
]
] | The late time asymptotics of the physical solutions to the Lorentz-Dirac equation in the electromagnetic external fields of simple configurations -- the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave -- are found. The solutions to the Landau-Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. General properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half of the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the external electromagnetic fields of the simple configurations pointed above. |
hep-th/0108043 | Richard Szabo | Richard J. Szabo | Superconnections, Anomalies and Non-BPS Brane Charges | 57 pages LaTeX; Typos corrected, references added, various clarifying
comments on derivations of superconnection actions in section 3 added | J.Geom.Phys. 43 (2002) 241-292 | 10.1016/S0393-0440(02)00024-4 | HWM-01-31, NBI-HE-00-07, EMPG-01-11 | hep-th gr-qc math-ph math.KT math.MP | null | The properties of brane-antibrane systems and systems of unstable D-branes in
Type II superstring theory are investigated using the formalism of
superconnections. The low-energy open string dynamics is shown to be probed by
generalized Dirac operators. The corresponding index theorems are used to
compute the chiral gauge anomalies in these systems, and hence their
gravitational and Ramond-Ramond couplings. A spectral action for the
generalized Dirac operators is also computed and shown to exhibit precisely the
expected processes of tachyon condensation on the brane worldvolumes. The
Chern-Simons couplings are thereby shown to be naturally related to Fredholm
modules and bivariant K-theory, confirming the expectations that D-brane charge
is properly classified by K-homology.
| [
{
"created": "Tue, 7 Aug 2001 16:51:06 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Oct 2001 19:13:08 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Szabo",
"Richard J.",
""
]
] | The properties of brane-antibrane systems and systems of unstable D-branes in Type II superstring theory are investigated using the formalism of superconnections. The low-energy open string dynamics is shown to be probed by generalized Dirac operators. The corresponding index theorems are used to compute the chiral gauge anomalies in these systems, and hence their gravitational and Ramond-Ramond couplings. A spectral action for the generalized Dirac operators is also computed and shown to exhibit precisely the expected processes of tachyon condensation on the brane worldvolumes. The Chern-Simons couplings are thereby shown to be naturally related to Fredholm modules and bivariant K-theory, confirming the expectations that D-brane charge is properly classified by K-homology. |
2007.08422 | Julio Oliva | Laura Donnay, Gaston Giribet, Julio Oliva | Horizon symmetries and hairy black holes in AdS | 25 pages, 1 figure | null | 10.1007/JHEP09(2020)120 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate whether supertranslation symmetry may appear in a scenario
that involves black holes in AdS space. The framework we consider is massive 3D
gravity, which admits a rich black hole phase space, including stationary AdS
black holes with softly decaying hair. We consider a set of asymptotic
conditions that permits such decaying near the boundary, and which, in addition
to the local conformal symmetry, is preserved by an extra local current. The
corresponding algebra of diffeomorphisms consists of two copies of Virasoro
algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then
reorient the analysis to the near horizon region, where infinite-dimensional
symmetries also appear. The supertranslation symmetry at the horizon yields an
infinite set of non-trivial charges, which we explicitly compute. The zero-mode
of these charges correctly reproduces the black hole entropy. In contrast to
Einstein gravity, in the higher-derivative theory subleading terms in the near
horizon expansion contribute to the near horizon charges. Such terms happen to
capture the higher-curvature corrections to the Bekenstein area law.
| [
{
"created": "Thu, 16 Jul 2020 15:59:19 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"Donnay",
"Laura",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Oliva",
"Julio",
""
]
] | We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with softly decaying hair. We consider a set of asymptotic conditions that permits such decaying near the boundary, and which, in addition to the local conformal symmetry, is preserved by an extra local current. The corresponding algebra of diffeomorphisms consists of two copies of Virasoro algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then reorient the analysis to the near horizon region, where infinite-dimensional symmetries also appear. The supertranslation symmetry at the horizon yields an infinite set of non-trivial charges, which we explicitly compute. The zero-mode of these charges correctly reproduces the black hole entropy. In contrast to Einstein gravity, in the higher-derivative theory subleading terms in the near horizon expansion contribute to the near horizon charges. Such terms happen to capture the higher-curvature corrections to the Bekenstein area law. |
hep-th/9612226 | Christian Wieczerkowski | Christian Wieczerkowski (University of Muenster) | The renormalized $\phi^4_4$-trajectory by perturbation theory in a
running coupling II: the continuous renormalization group | 26 pages LaTeX2e | Nucl.Phys. B488 (1997) 466-489 | 10.1016/S0550-3213(96)00694-3 | MS-TPI-96-14 | hep-th | null | The renormalized trajectory of massless $\phi^4$-theory on four dimensional
Euclidean space-time is investigated as a renormalization group invariant curve
in the center manifold of the trivial fixed point, tangent to the
$\phi^4$-interaction. We use an exact functional differential equation for its
dependence on the running $\phi^4$-coupling. It is solved by means of
perturbation theory. The expansion is proved to be finite to all orders. The
proof includes a large momentum bound on amputated connected momentum space
Green's functions.
| [
{
"created": "Mon, 23 Dec 1996 13:34:31 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Wieczerkowski",
"Christian",
"",
"University of Muenster"
]
] | The renormalized trajectory of massless $\phi^4$-theory on four dimensional Euclidean space-time is investigated as a renormalization group invariant curve in the center manifold of the trivial fixed point, tangent to the $\phi^4$-interaction. We use an exact functional differential equation for its dependence on the running $\phi^4$-coupling. It is solved by means of perturbation theory. The expansion is proved to be finite to all orders. The proof includes a large momentum bound on amputated connected momentum space Green's functions. |
hep-th/9110036 | null | J. Lopez and D. Nanopoulos | Flipped SU(5): Origins and Recent Developments | 25 pages. To appear in the Proceedings of the 15th Johns Hopkins
Workshop on Current Problems in Particle Theory, Johns Hopkins University,
August 26--28, 1991 | null | null | null | hep-th | null | We present an account of the early developments that led to the present form
of the flipped $SU(5)$ string model. We focus on the method used to decide on
this particular string model, as well as the basic steps followed in
constructing generic models in the free fermionic formulation of superstrings
in general and flipped $SU(5)$ in particular. We then describe the basic
calculable features of the model which are used to obtain its low-energy
spectrum: doublet and triplet Higgs mass matrices, fermion Yukawa matrices,
neutrino masses, and the top-quark mass. We also review the status of proton
decay in the model, as well as the hidden sector bound states called cryptons.
Finally, we comment on the subject of string threshold corrections and string
unification.
| [
{
"created": "Mon, 14 Oct 1991 19:49:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lopez",
"J.",
""
],
[
"Nanopoulos",
"D.",
""
]
] | We present an account of the early developments that led to the present form of the flipped $SU(5)$ string model. We focus on the method used to decide on this particular string model, as well as the basic steps followed in constructing generic models in the free fermionic formulation of superstrings in general and flipped $SU(5)$ in particular. We then describe the basic calculable features of the model which are used to obtain its low-energy spectrum: doublet and triplet Higgs mass matrices, fermion Yukawa matrices, neutrino masses, and the top-quark mass. We also review the status of proton decay in the model, as well as the hidden sector bound states called cryptons. Finally, we comment on the subject of string threshold corrections and string unification. |
1610.06929 | Daniel Park | David R. Morrison, Daniel S. Park and Washington Taylor | Non-Higgsable abelian gauge symmetry and F-theory on fiber products of
rational elliptic surfaces | 41 pages + appendices, 10 figures; v2: reference added | null | null | UCSB Math 2016-17, MIT-CTP-4839 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a general class of Calabi--Yau threefolds from fiber products of
rational elliptic surfaces with section, generalizing a construction of Schoen
to include all Kodaira fiber types. The resulting threefolds each have two
elliptic fibrations with section over rational elliptic surfaces and blowups
thereof. These elliptic fibrations generally have nonzero Mordell--Weil rank.
Each of the elliptic fibrations has a physical interpretation in terms of a
six-dimensional F-theory model with one or more non-Higgsable abelian gauge
fields. Many of the models in this class have mild singularities that do not
admit a Calabi--Yau resolution; this does not seem to compromise the physical
integrity of the theory and can be associated in some cases with massless
hypermultiplets localized at the singular loci. In some of these constructions,
however, we find examples of abelian gauge fields that cannot be "unHiggsed" to
a nonabelian gauge field without producing unphysical singularities that cannot
be resolved. The models studied here can also be used to exhibit T-duality for
a class of little string theories.
| [
{
"created": "Fri, 21 Oct 2016 20:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2016 18:45:43 GMT",
"version": "v2"
}
] | 2016-11-21 | [
[
"Morrison",
"David R.",
""
],
[
"Park",
"Daniel S.",
""
],
[
"Taylor",
"Washington",
""
]
] | We construct a general class of Calabi--Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two elliptic fibrations with section over rational elliptic surfaces and blowups thereof. These elliptic fibrations generally have nonzero Mordell--Weil rank. Each of the elliptic fibrations has a physical interpretation in terms of a six-dimensional F-theory model with one or more non-Higgsable abelian gauge fields. Many of the models in this class have mild singularities that do not admit a Calabi--Yau resolution; this does not seem to compromise the physical integrity of the theory and can be associated in some cases with massless hypermultiplets localized at the singular loci. In some of these constructions, however, we find examples of abelian gauge fields that cannot be "unHiggsed" to a nonabelian gauge field without producing unphysical singularities that cannot be resolved. The models studied here can also be used to exhibit T-duality for a class of little string theories. |
2112.00978 | Gabriel Menezes | Gabriel Menezes | Color-kinematics duality, double copy and the unitarity method for
higher-derivative QCD and quadratic gravity | 42 pages, 3 figures. v3: Minor modifications throughout the text and
abstract; discussion in the summary section was extended. Revised version as
accepted by JHEP | null | 10.1007/JHEP03(2022)074 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here we discuss color-kinematics duality for higher-derivative QCD-like
amplitudes. We explicitly show that the duality still holds in this case and it
can be instrumental in constructing the associated quadratic-gravity amplitudes
by using the double-copy prescription. This allows one to drastically simplify
calculations. We also evaluate some tree-level Compton scattering amplitudes in
higher-derivative Yang-Mills and quadratic gravity coupled with matter.
Furthermore, we illustrate the application of generalized unitarity method for
both cases by studying a specific one-loop amplitude.
| [
{
"created": "Thu, 2 Dec 2021 04:27:02 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2021 18:49:13 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Mar 2022 17:47:03 GMT",
"version": "v3"
}
] | 2022-03-30 | [
[
"Menezes",
"Gabriel",
""
]
] | Here we discuss color-kinematics duality for higher-derivative QCD-like amplitudes. We explicitly show that the duality still holds in this case and it can be instrumental in constructing the associated quadratic-gravity amplitudes by using the double-copy prescription. This allows one to drastically simplify calculations. We also evaluate some tree-level Compton scattering amplitudes in higher-derivative Yang-Mills and quadratic gravity coupled with matter. Furthermore, we illustrate the application of generalized unitarity method for both cases by studying a specific one-loop amplitude. |
hep-th/0409246 | Y. M. Cho | Y. M. Cho | Knot Topology of QCD Vacuum | 4 pages | Phys.Lett. B644 (2007) 208-211 | 10.1016/j.physletb.2006.11.040 | null | hep-th | null | We show that one can express the knot equation of Skyrme theory completely in
terms of the vacuum potential of SU(2) QCD, in such a way that the equation is
viewed as a generalized Lorentz gauge condition which selects one vacuum for
each class of topologically equivalent vacua. From this we show that there are
three ways to describe the QCD vacuum (and thus the knot), by a non-linear
sigma field, a complex vector field, or by an Abelian gauge potential. This
tells that the QCD vacuum can be classified by an Abelian gauge potential with
an Abelian Chern-Simon index.
| [
{
"created": "Fri, 24 Sep 2004 03:19:30 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Cho",
"Y. M.",
""
]
] | We show that one can express the knot equation of Skyrme theory completely in terms of the vacuum potential of SU(2) QCD, in such a way that the equation is viewed as a generalized Lorentz gauge condition which selects one vacuum for each class of topologically equivalent vacua. From this we show that there are three ways to describe the QCD vacuum (and thus the knot), by a non-linear sigma field, a complex vector field, or by an Abelian gauge potential. This tells that the QCD vacuum can be classified by an Abelian gauge potential with an Abelian Chern-Simon index. |
2206.13038 | Wei-Zhong Zhao | Rui Wang, Fan Liu, Chun-Hong Zhang, Wei-Zhong Zhao | Superintegrability for ($\beta$-deformed) partition function hierarchies
with $W$-representations | 11 pages | Eur. Phys. J. C 82 (2022) 902 | 10.1140/epjc/s10052-022-10875-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the ($\beta$-deformed) partition function hierarchies with
$W$-representations. Based on the $W$-representations, we analyze the
superintegrability property and derive their character expansions with respect
to the Schur functions and Jack polynomials, respectively. Some well known
superintegrable matrix models such as the Gaussian hermitian one-matrix model
(in the external field), $N\times N$ complex matrix model, $\beta$-deformed
Gaussian hermitian and rectangular complex matrix models are contained in the
constructed hierarchies.
| [
{
"created": "Mon, 27 Jun 2022 04:01:36 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jul 2022 09:10:42 GMT",
"version": "v2"
}
] | 2022-10-26 | [
[
"Wang",
"Rui",
""
],
[
"Liu",
"Fan",
""
],
[
"Zhang",
"Chun-Hong",
""
],
[
"Zhao",
"Wei-Zhong",
""
]
] | We construct the ($\beta$-deformed) partition function hierarchies with $W$-representations. Based on the $W$-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions and Jack polynomials, respectively. Some well known superintegrable matrix models such as the Gaussian hermitian one-matrix model (in the external field), $N\times N$ complex matrix model, $\beta$-deformed Gaussian hermitian and rectangular complex matrix models are contained in the constructed hierarchies. |
1201.0762 | Heeyeon Kim | Heeyeon Kim, Piljin Yi | D-brane anomaly inflow revisited | 41 pages, references updated; version to appear in JHEP | null | 10.1007/JHEP02(2012)012 | KIAS-P11082 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Axial and gravitational anomaly of field theories, when embedded in string
theory, must be accompanied by canceling inflow. We give a self-contained
overview for various world-volume theories, and clarify the role of smeared
magnetic sources in I-brane/D-brane cases. The proper anomaly descent of the
source, as demanded by regularity of RR field strengths H's, turns out to be an
essential ingredient. We show how this allows correct inflow to be generated
for all such theories, including self-dual cases, and also that the mechanism
is now insensitive to the choice between the two related but inequivalent forms
of D-brane Chern-Simons couplings. In particular, SO(6)_R axial anomaly of d=4
maximal SYM is canceled by the inflow onto D3-branes via the standard minimal
coupling to C_4. We also propose how, for the anomaly cancelation, the four
types of Orientifold planes should be coupled to the spacetime curvatures, of
which conflicting claims existed previously.
| [
{
"created": "Tue, 3 Jan 2012 21:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Feb 2012 12:19:57 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Kim",
"Heeyeon",
""
],
[
"Yi",
"Piljin",
""
]
] | Axial and gravitational anomaly of field theories, when embedded in string theory, must be accompanied by canceling inflow. We give a self-contained overview for various world-volume theories, and clarify the role of smeared magnetic sources in I-brane/D-brane cases. The proper anomaly descent of the source, as demanded by regularity of RR field strengths H's, turns out to be an essential ingredient. We show how this allows correct inflow to be generated for all such theories, including self-dual cases, and also that the mechanism is now insensitive to the choice between the two related but inequivalent forms of D-brane Chern-Simons couplings. In particular, SO(6)_R axial anomaly of d=4 maximal SYM is canceled by the inflow onto D3-branes via the standard minimal coupling to C_4. We also propose how, for the anomaly cancelation, the four types of Orientifold planes should be coupled to the spacetime curvatures, of which conflicting claims existed previously. |
hep-th/9810105 | Andrea Cappelli | A. Cappelli, L. S. Georgiev and I. T. Todorov | A Unified Conformal Field Theory Description of Paired Quantum Hall
States | Latex, 42 pages, 2 figures, 3 tables; minor corrections to text and
references | Commun.Math.Phys. 205 (1999) 657-689 | 10.1007/s002200050693 | preprint ESI 621 (1998), DFF 329/10/98 | hep-th cond-mat.mes-hall math-ph math.MP | null | The wave functions of the Haldane-Rezayi paired Hall state have been
previously described by a non-unitary conformal field theory with central
charge c=-2. Moreover, a relation with the c=1 unitary Weyl fermion has been
suggested. We construct the complete unitary theory and show that it
consistently describes the edge excitations of the Haldane-Rezayi state.
Actually, we show that the unitary (c=1) and non-unitary (c=-2) theories are
related by a local map between the two sets of fields and by a suitable change
of conjugation. The unitary theory of the Haldane-Rezayi state is found to be
the same as that of the 331 paired Hall state. Furthermore, the analysis of
modular invariant partition functions shows that no alternative unitary
descriptions are possible for the Haldane-Rezayi state within the class of
rational conformal field theories with abelian current algebra. Finally, the
known c=3/2 conformal theory of the Pfaffian state is also obtained from the
331 theory by a reduction of degrees of freedom which can be physically
realized in the double-layer Hall systems.
| [
{
"created": "Wed, 14 Oct 1998 16:34:45 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1998 15:43:40 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Cappelli",
"A.",
""
],
[
"Georgiev",
"L. S.",
""
],
[
"Todorov",
"I. T.",
""
]
] | The wave functions of the Haldane-Rezayi paired Hall state have been previously described by a non-unitary conformal field theory with central charge c=-2. Moreover, a relation with the c=1 unitary Weyl fermion has been suggested. We construct the complete unitary theory and show that it consistently describes the edge excitations of the Haldane-Rezayi state. Actually, we show that the unitary (c=1) and non-unitary (c=-2) theories are related by a local map between the two sets of fields and by a suitable change of conjugation. The unitary theory of the Haldane-Rezayi state is found to be the same as that of the 331 paired Hall state. Furthermore, the analysis of modular invariant partition functions shows that no alternative unitary descriptions are possible for the Haldane-Rezayi state within the class of rational conformal field theories with abelian current algebra. Finally, the known c=3/2 conformal theory of the Pfaffian state is also obtained from the 331 theory by a reduction of degrees of freedom which can be physically realized in the double-layer Hall systems. |
1010.1921 | Nicola Maggiore | Nicola Maggiore and Marco Picollo | Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter | 28 pages, final version to be published on CQG | Class.Quant.Grav.28:085022,2011 | 10.1088/0264-9381/28/8/085022 | GEF-TH-4/2010 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give the twisted version of N=2 Super Yang Mills theory coupled to matter,
including quantum fields, supersymmetry transformations, action and algebraic
structure. We show that the whole action, coupled to matter, can be written as
the variation of a nilpotent operator, modulo field equations. An extended
Slavnov-Taylor identity, collecting gauge symmetry and supersymmetry, is
written, which allows to define the web of algebraic constraints, in view of
the algebraic renormalization and of the extension of the non-renormalization
theorems holding for N=2 SYM theory without matter.
| [
{
"created": "Sun, 10 Oct 2010 13:33:28 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Mar 2011 13:32:55 GMT",
"version": "v2"
}
] | 2011-04-08 | [
[
"Maggiore",
"Nicola",
""
],
[
"Picollo",
"Marco",
""
]
] | We give the twisted version of N=2 Super Yang Mills theory coupled to matter, including quantum fields, supersymmetry transformations, action and algebraic structure. We show that the whole action, coupled to matter, can be written as the variation of a nilpotent operator, modulo field equations. An extended Slavnov-Taylor identity, collecting gauge symmetry and supersymmetry, is written, which allows to define the web of algebraic constraints, in view of the algebraic renormalization and of the extension of the non-renormalization theorems holding for N=2 SYM theory without matter. |
1705.09297 | Domenico Orlando | Antonio Amariti and Domenico Orlando and Susanne Reffert | Monopole Quivers and new 3D N=2 dualities | 27 pages, 4 figures | null | 10.1016/j.nuclphysb.2017.09.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new family of dualities for three-dimensional gauge theories,
motivated by the brane realization of the reduction of four-dimensional
dualities on a circle. This family can be understood as a generalization of
Aharony duality to quiver gauge theories whose nodes interact via monopole
terms in the superpotential. We refer to this family of theories as monopole
quivers. We corroborate the new dualities by checking the equivalence of the
three-sphere partition functions, obtained from the standard circle reduction
of the four-dimensional superconformal index. As a special case, we recover
some dualities recently discussed in the literature.}
| [
{
"created": "Thu, 25 May 2017 18:00:03 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Amariti",
"Antonio",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] | We present a new family of dualities for three-dimensional gauge theories, motivated by the brane realization of the reduction of four-dimensional dualities on a circle. This family can be understood as a generalization of Aharony duality to quiver gauge theories whose nodes interact via monopole terms in the superpotential. We refer to this family of theories as monopole quivers. We corroborate the new dualities by checking the equivalence of the three-sphere partition functions, obtained from the standard circle reduction of the four-dimensional superconformal index. As a special case, we recover some dualities recently discussed in the literature.} |
1407.4615 | Sylvain Carrozza | Sylvain Carrozza | Discrete Renormalization Group for SU(2) Tensorial Group Field Theory | 56 pages, 20 figures, AHP style. v2: new material added (essentially
in section 6) to address some limitations of the previous version; main
results unchanged | Ann. Inst. Henri Poincar\'e Comb. Phys. Interact. 2 (2015), 49-112 | 10.4171/AIHPD/15 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article provides a Wilsonian description of the perturbatively
renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772
[hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the
gauge group SU(2), and as such is expected to be related to Euclidean quantum
gravity in three dimensions. By means of a power-counting argument, we
introduce a notion of dimensionality of the free parameters defining the
action. General flow equations for the dimensionless bare coupling constants
can then be derived, in terms of a discretely varying cut-off, and in which all
the so-called melonic Feynman diagrams contribute. Linearizing around the
Gaussian fixed point allows to recover the splitting between relevant,
irrelevant, and marginal coupling constants. Pushing the perturbative expansion
to second order for the marginal parameters, we are able to determine their
behaviour in the vicinity of the Gaussian fixed point. Along the way, several
technical tools are reviewed, including a discussion of combinatorial factors
and of the Laplace approximation, which reduces the evaluation of the
amplitudes in the UV limit to that of Gaussian integrals.
| [
{
"created": "Thu, 17 Jul 2014 09:58:20 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2014 00:07:05 GMT",
"version": "v2"
}
] | 2015-04-14 | [
[
"Carrozza",
"Sylvain",
""
]
] | This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2), and as such is expected to be related to Euclidean quantum gravity in three dimensions. By means of a power-counting argument, we introduce a notion of dimensionality of the free parameters defining the action. General flow equations for the dimensionless bare coupling constants can then be derived, in terms of a discretely varying cut-off, and in which all the so-called melonic Feynman diagrams contribute. Linearizing around the Gaussian fixed point allows to recover the splitting between relevant, irrelevant, and marginal coupling constants. Pushing the perturbative expansion to second order for the marginal parameters, we are able to determine their behaviour in the vicinity of the Gaussian fixed point. Along the way, several technical tools are reviewed, including a discussion of combinatorial factors and of the Laplace approximation, which reduces the evaluation of the amplitudes in the UV limit to that of Gaussian integrals. |
2006.06692 | Rodolfo Panerai | Rodolfo Panerai, Antonio Pittelli, Konstantina Polydorou | Topological Correlators and Surface Defects from Equivariant Cohomology | 40 pages, 3 figures; v2: minor revision, published version | null | 10.1007/JHEP09(2020)185 | UUITP-17/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a one-dimensional protected subsector of $\mathcal{N}=4$ matter
theories on a general class of three-dimensional manifolds. By means of
equivariant localization, we identify a dual quantum mechanics computing BPS
correlators of the original model in three dimensions. Specifically, applying
the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that
this localizes on a one-dimensional action with support on the fixed-point
submanifold of suitable isometries. We first show that our approach reproduces
previous results obtained on $S^3$. Then, we apply it to the novel case of $S^2
\times S^1$ and show that the theory localizes on two noninteracting quantum
mechanics with disjoint support. We prove that the BPS operators of such models
are naturally associated with a noncommutative star product, while their
correlation functions are essentially topological. Finally, we couple the
three-dimensional theory to general $\mathcal{N}=(2,2)$ surface defects and
extend the localization computation to capture the full partition function and
BPS correlators of the mixed-dimensional system.
| [
{
"created": "Thu, 11 Jun 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 2020 11:39:43 GMT",
"version": "v2"
}
] | 2020-09-30 | [
[
"Panerai",
"Rodolfo",
""
],
[
"Pittelli",
"Antonio",
""
],
[
"Polydorou",
"Konstantina",
""
]
] | We find a one-dimensional protected subsector of $\mathcal{N}=4$ matter theories on a general class of three-dimensional manifolds. By means of equivariant localization, we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on $S^3$. Then, we apply it to the novel case of $S^2 \times S^1$ and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncommutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $\mathcal{N}=(2,2)$ surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system. |
1510.00288 | Arpan Krishna Mitra | Rabin Banerjee, Arpan Krishna Mitra | Canonical formulation for nonrelativistic Euler fluids and Schwinger
type conditions | 16 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new approach, based on Noether's energy-momentum tensor, to
construct the lagrangian for nonrelativistic nonisentropic Euler fluids. An
advantage of this approach is that it naturally provides a generalised Clebsh
decomposition for the fluid velocity. This is used to develop a hamiltonian
formulation inolving a noncanonical algebra. This algebra is very simply
obtained from the symplectic structure. It is used to show that the components
of the Noether's energy-momentum tensor satisfy certain Schwinger-type
relations. These relations, which are reminiscent of corresponding relations in
relativistic field theory, are new.
| [
{
"created": "Thu, 1 Oct 2015 15:49:44 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Apr 2016 06:07:10 GMT",
"version": "v2"
}
] | 2016-04-25 | [
[
"Banerjee",
"Rabin",
""
],
[
"Mitra",
"Arpan Krishna",
""
]
] | We present a new approach, based on Noether's energy-momentum tensor, to construct the lagrangian for nonrelativistic nonisentropic Euler fluids. An advantage of this approach is that it naturally provides a generalised Clebsh decomposition for the fluid velocity. This is used to develop a hamiltonian formulation inolving a noncanonical algebra. This algebra is very simply obtained from the symplectic structure. It is used to show that the components of the Noether's energy-momentum tensor satisfy certain Schwinger-type relations. These relations, which are reminiscent of corresponding relations in relativistic field theory, are new. |
2309.15584 | Masatoshi Yamada | Jie Liu, Junichi Haruna and Masatoshi Yamada | Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar
theory from functional renormalization group | 12 pages, 1 figure, typos fixed and references and appendix added,
version published in PRD | Phys. Rev. D 109 (2024) 6, 065016 | 10.1103/PhysRevD.109.065016 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional
spacetime using the functional renormalization group. We derive the $\beta$
functions for the couplings in the system and explore the fixed points. In
addition to the Gaussian (trivial) fixed point, we find a nontrivial fixed
point at which a new universality class exists. The deformation parameter
becomes relevant at the nontrivial fixed point. Therefore, the $T\bar
T$-deformed scalar field theory in two-dimensional spacetime could be defined
as a nonperturbatively renormalizable theory.
| [
{
"created": "Wed, 27 Sep 2023 11:35:12 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Sep 2023 04:38:39 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Mar 2024 02:11:42 GMT",
"version": "v3"
}
] | 2024-03-15 | [
[
"Liu",
"Jie",
""
],
[
"Haruna",
"Junichi",
""
],
[
"Yamada",
"Masatoshi",
""
]
] | We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $\beta$ functions for the couplings in the system and explore the fixed points. In addition to the Gaussian (trivial) fixed point, we find a nontrivial fixed point at which a new universality class exists. The deformation parameter becomes relevant at the nontrivial fixed point. Therefore, the $T\bar T$-deformed scalar field theory in two-dimensional spacetime could be defined as a nonperturbatively renormalizable theory. |
2109.05040 | Konstantinos Siampos | Georgios Itsios, Konstantinos Sfetsos, Konstantinos Siampos | Kerr-Schild perturbations of coset CFTs as scale invariant integrable
$\sigma$-models | v1:1+24 pages, Latex | Nucl.Phys.B 973 (2021) 115594 | 10.1016/j.nuclphysb.2021.115594 | HU-EP-21/30 | hep-th gr-qc nlin.SI | http://creativecommons.org/publicdomain/zero/1.0/ | Kerr-Schild perturbations in General Relativity provide a fruitful way of
constructing new exact solutions starting from known ones, elucidating also the
structure of the spacetimes. We initiate such a study in the context of string
theory and supergravity. Specifically, we explicitly construct Kerr-Schild
perturbations of coset CFTs based on low dimensionality orthogonal groups. We
show that these give rise to scale, but not Weyl, invariant integrable
$\sigma$-models. We explicitly demonstrate that these models can also be
derived from a particular limiting procedure of $\lambda$-deformed coset CFTs
based on non-compact groups. The target space of the simplest $\sigma$-model
describes a two-dimensional scale invariant black hole for which we also
provide two different embeddings to type-II supergravity.
| [
{
"created": "Fri, 10 Sep 2021 18:01:41 GMT",
"version": "v1"
}
] | 2021-11-09 | [
[
"Itsios",
"Georgios",
""
],
[
"Sfetsos",
"Konstantinos",
""
],
[
"Siampos",
"Konstantinos",
""
]
] | Kerr-Schild perturbations in General Relativity provide a fruitful way of constructing new exact solutions starting from known ones, elucidating also the structure of the spacetimes. We initiate such a study in the context of string theory and supergravity. Specifically, we explicitly construct Kerr-Schild perturbations of coset CFTs based on low dimensionality orthogonal groups. We show that these give rise to scale, but not Weyl, invariant integrable $\sigma$-models. We explicitly demonstrate that these models can also be derived from a particular limiting procedure of $\lambda$-deformed coset CFTs based on non-compact groups. The target space of the simplest $\sigma$-model describes a two-dimensional scale invariant black hole for which we also provide two different embeddings to type-II supergravity. |
hep-th/0603092 | Olivera Miskovic | Olivera Miskovic and Rodrigo Olea | On boundary conditions in three-dimensional AdS gravity | 12 pages; a reference added | Phys.Lett.B640:101-107,2006 | 10.1016/j.physletb.2006.07.045 | null | hep-th gr-qc | null | A finite action principle for three-dimensional gravity with negative
cosmological constant, based on a boundary condition for the asymptotic
extrinsic curvature, is considered. The bulk action appears naturally
supplemented by a boundary term that is one half the Gibbons-Hawking term, that
makes the Euclidean action and the Noether charges finite without additional
Dirichlet counterterms. The consistency of this boundary condition with the
Dirichlet problem in AdS gravity and the Chern-Simons formulation in three
dimensions, and its suitability for the higher odd-dimensional case, are also
discussed.
| [
{
"created": "Sat, 11 Mar 2006 20:41:14 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Aug 2006 23:42:35 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Aug 2006 22:21:44 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Miskovic",
"Olivera",
""
],
[
"Olea",
"Rodrigo",
""
]
] | A finite action principle for three-dimensional gravity with negative cosmological constant, based on a boundary condition for the asymptotic extrinsic curvature, is considered. The bulk action appears naturally supplemented by a boundary term that is one half the Gibbons-Hawking term, that makes the Euclidean action and the Noether charges finite without additional Dirichlet counterterms. The consistency of this boundary condition with the Dirichlet problem in AdS gravity and the Chern-Simons formulation in three dimensions, and its suitability for the higher odd-dimensional case, are also discussed. |
2109.03696 | Peng Liu | Fang-Jing Cheng, Zhe Yang, Chao Niu, Cheng-Yong Zhang and Peng Liu | Entanglement Wedge Minimum Cross-Section in Holographic Axion Gravity
Theories | 25 pages, 15 figures; refs added, writing improved | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the mixed state entanglement properties in two holographic axion
models by examining the behavior of the entanglement wedge minimum cross
section (EWCS), and comparing it with the holographic entanglement entropy
(HEE) and mutual information (MI). We find that the behavior of HEE, MI and
EWCS with Hawking temperature is monotonic, while the behavior with the axion
parameter $k$ is more rich, which depends on the size of the configuration and
the values of the other two parameters. Interestingly, the EWCS monotonically
increases with the coupling constant $\kappa$ between the axion field and the
Maxwell field, while HEE and MI can be non-monotonic. It suggests that the
EWCS, as a mixed state entanglement measure, captures distinct degrees of
freedom from the HEE and MI indeed. We also provide analytical understandings
for most of the numerical results.
| [
{
"created": "Wed, 8 Sep 2021 14:59:07 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2022 07:59:39 GMT",
"version": "v2"
}
] | 2022-02-09 | [
[
"Cheng",
"Fang-Jing",
""
],
[
"Yang",
"Zhe",
""
],
[
"Niu",
"Chao",
""
],
[
"Zhang",
"Cheng-Yong",
""
],
[
"Liu",
"Peng",
""
]
] | We study the mixed state entanglement properties in two holographic axion models by examining the behavior of the entanglement wedge minimum cross section (EWCS), and comparing it with the holographic entanglement entropy (HEE) and mutual information (MI). We find that the behavior of HEE, MI and EWCS with Hawking temperature is monotonic, while the behavior with the axion parameter $k$ is more rich, which depends on the size of the configuration and the values of the other two parameters. Interestingly, the EWCS monotonically increases with the coupling constant $\kappa$ between the axion field and the Maxwell field, while HEE and MI can be non-monotonic. It suggests that the EWCS, as a mixed state entanglement measure, captures distinct degrees of freedom from the HEE and MI indeed. We also provide analytical understandings for most of the numerical results. |
hep-th/0609108 | Andrei Mikhailov | Andrei Mikhailov | Bihamiltonian structure of the classical superstring in AdS_5 x S**5 | LaTeX, 32 pages, v2: added comments, small changes | null | null | CALT-68-2609, ITEP-TH-68/06 | hep-th nlin.SI | null | We discuss the bihamiltonian structure of the Metsaev-Tseytlin superstring in
AdS_5 x S**5. We explicitly write down the boost-invariant symplectic structure
for the superstring in AdS_5 x S**5 and explain its relation to the standard
(canonical) symplectic structure. We discuss the geometrical meaning of the
boost-invariant symplectic structure for the bosonic string.
| [
{
"created": "Fri, 15 Sep 2006 19:31:37 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2007 05:03:17 GMT",
"version": "v2"
}
] | 2007-09-19 | [
[
"Mikhailov",
"Andrei",
""
]
] | We discuss the bihamiltonian structure of the Metsaev-Tseytlin superstring in AdS_5 x S**5. We explicitly write down the boost-invariant symplectic structure for the superstring in AdS_5 x S**5 and explain its relation to the standard (canonical) symplectic structure. We discuss the geometrical meaning of the boost-invariant symplectic structure for the bosonic string. |
2105.14294 | Zhang-Yu Nie | Xing-Kun Zhang, Chuan-Yin Xia, Zhang-Yu Nie and Hui Zeng | Holographic multi-condensate with nonlinear terms | 16 pages, 8 figures | null | 10.1103/PhysRevD.105.046016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the influence of nonlinear terms quartic of the charged fields,
which do not change the critical points of single condensate solutions, on the
phase structure of a holographic model with multi-condensate in probe limit. We
include one s-wave order and one p-wave order charged under the same U(1) gauge
field in the holographic model and study the influence of the three quartic
nonlinear terms of the charged fields with coefficients $\lambda_s$,
$\lambda_p$ and $\lambda_{sp}$ on the phase structure. We show the influence of
each of the three parameters on the phase diagram with other two set to zero,
respectively. With these nonlinear terms, we get more power on tuning the phase
structure of the holographic system showing multi-condensate, and show how to
get a reentrant phase transition as an example.
| [
{
"created": "Sat, 29 May 2021 13:13:18 GMT",
"version": "v1"
}
] | 2022-03-14 | [
[
"Zhang",
"Xing-Kun",
""
],
[
"Xia",
"Chuan-Yin",
""
],
[
"Nie",
"Zhang-Yu",
""
],
[
"Zeng",
"Hui",
""
]
] | We study the influence of nonlinear terms quartic of the charged fields, which do not change the critical points of single condensate solutions, on the phase structure of a holographic model with multi-condensate in probe limit. We include one s-wave order and one p-wave order charged under the same U(1) gauge field in the holographic model and study the influence of the three quartic nonlinear terms of the charged fields with coefficients $\lambda_s$, $\lambda_p$ and $\lambda_{sp}$ on the phase structure. We show the influence of each of the three parameters on the phase diagram with other two set to zero, respectively. With these nonlinear terms, we get more power on tuning the phase structure of the holographic system showing multi-condensate, and show how to get a reentrant phase transition as an example. |
2307.11087 | Suvendu Giri | Michele Del Zotto and Marco Fazzi and Suvendu Giri | The Higgs branch of Heterotic ALE instantons | 48 pages, 3 figures; v2: typos fixed, citations added; v3: improved
introduction, updated references, version published in JHEP | JHEP01(2024)167 | 10.1007/JHEP01(2024)167 | UUITP-11/23, NORDITA 2023-110 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We begin a study of the Higgs branch of six-dimensional $(1,0)$ little string
theories governing the worldvolumes of heterotic ALE instantons. We give a
description of this space by constructing the corresponding magnetic quiver.
The latter is a three-dimensional $\mathcal{N}=4$ quiver gauge theory that
flows in the infrared to a fixed point whose quantum corrected Coulomb branches
is the Higgs branch of the six-dimensional theory of interest. We present
results for both types of heterotic strings, and mostly for $\mathbb
C^2/\mathbb Z_k$ ALE spaces. Our analysis is valid both in the absence and in
the presence of small instantons. Along the way, we also describe small
$SO(32)$ instanton transitions in terms of the corresponding magnetic quiver,
which parallels a similar treatment of the small $E_8$ instanton transitions in
the context of the $E_8\times E_8$ heterotic string.
| [
{
"created": "Thu, 20 Jul 2023 17:59:36 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Aug 2023 16:49:18 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Jan 2024 15:52:09 GMT",
"version": "v3"
}
] | 2024-02-02 | [
[
"Del Zotto",
"Michele",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Giri",
"Suvendu",
""
]
] | We begin a study of the Higgs branch of six-dimensional $(1,0)$ little string theories governing the worldvolumes of heterotic ALE instantons. We give a description of this space by constructing the corresponding magnetic quiver. The latter is a three-dimensional $\mathcal{N}=4$ quiver gauge theory that flows in the infrared to a fixed point whose quantum corrected Coulomb branches is the Higgs branch of the six-dimensional theory of interest. We present results for both types of heterotic strings, and mostly for $\mathbb C^2/\mathbb Z_k$ ALE spaces. Our analysis is valid both in the absence and in the presence of small instantons. Along the way, we also describe small $SO(32)$ instanton transitions in terms of the corresponding magnetic quiver, which parallels a similar treatment of the small $E_8$ instanton transitions in the context of the $E_8\times E_8$ heterotic string. |
2112.01483 | Mois\'es Bravo-Gaete | Moises Bravo-Gaete, Maria Montserrat Juarez-Aubry, Gerardo
Velazquez-Rodriguez | Lifshitz black holes in four-dimensional Critical Gravity | 9 pages, 4 figures. Accepted for publication in Physical Review D | null | 10.1103/PhysRevD.105.084009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the existence of asymptotically Lifshitz black holes
in Critical Gravity in four dimensions with a negative cosmological constant
under two scenarios: First, including dilatonic fields as the matter source,
where we find an asymptotically Lifshitz solution for a fixed value of the
dynamical exponent $z=4$. As a second case, we also added a non-minimally
coupled scalar field $\Phi$ with a potential given by a mass term and a quartic
term. Using this approach, we found a solution for $z$ defined in the interval
$(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base
manifold in the isotropic limit. Moreover, when we analyzed the limiting case
$z=4$, we found that there exists an additional solution that can be
interpreted as a stealth configuration in which the stealth field is overflying
the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we
studied the non-trivial thermodynamics of these new anisotropic solutions and
found that they all satisfy the First Law of Thermodynamics as well as the
Smarr relation. We were also able to determine that the non-stealth
configuration is thermodynamically preferred in this case.
| [
{
"created": "Thu, 2 Dec 2021 18:34:19 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 19:24:54 GMT",
"version": "v2"
}
] | 2022-04-20 | [
[
"Bravo-Gaete",
"Moises",
""
],
[
"Juarez-Aubry",
"Maria Montserrat",
""
],
[
"Velazquez-Rodriguez",
"Gerardo",
""
]
] | In this work, we study the existence of asymptotically Lifshitz black holes in Critical Gravity in four dimensions with a negative cosmological constant under two scenarios: First, including dilatonic fields as the matter source, where we find an asymptotically Lifshitz solution for a fixed value of the dynamical exponent $z=4$. As a second case, we also added a non-minimally coupled scalar field $\Phi$ with a potential given by a mass term and a quartic term. Using this approach, we found a solution for $z$ defined in the interval $(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base manifold in the isotropic limit. Moreover, when we analyzed the limiting case $z=4$, we found that there exists an additional solution that can be interpreted as a stealth configuration in which the stealth field is overflying the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we studied the non-trivial thermodynamics of these new anisotropic solutions and found that they all satisfy the First Law of Thermodynamics as well as the Smarr relation. We were also able to determine that the non-stealth configuration is thermodynamically preferred in this case. |
1610.02813 | Jochen Zahn | Marek Kozo\v{n}, Jochen Zahn | The semi-classical energy of closed Nambu-Goto strings | 17 pages. v3: Major corrections, discussion of the elliptic string
and the excitation spectrum added. v4: Published version | Phys. Rev. D 100, 106005 (2019) | 10.1103/PhysRevD.100.106005 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute semi-classical corrections to the energy of rotating closed
Nambu-Goto strings. We confirm the results obtained by means of the
Polchinski-Strominger action. We also show that in this semi-classical
approximation, the spectrum of physical excitations contains modes that are
unphysical non-perturbatively, i.e., to which no physical excitations of the
covariantly quantized Nambu-Goto string correspond.
| [
{
"created": "Mon, 10 Oct 2016 09:08:06 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2017 13:31:56 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2018 08:47:10 GMT",
"version": "v3"
},
{
"created": "Fri, 15 Nov 2019 08:58:29 GMT",
"version": "v4"
}
] | 2019-11-20 | [
[
"Kozoň",
"Marek",
""
],
[
"Zahn",
"Jochen",
""
]
] | We compute semi-classical corrections to the energy of rotating closed Nambu-Goto strings. We confirm the results obtained by means of the Polchinski-Strominger action. We also show that in this semi-classical approximation, the spectrum of physical excitations contains modes that are unphysical non-perturbatively, i.e., to which no physical excitations of the covariantly quantized Nambu-Goto string correspond. |
hep-th/9712203 | Hans J. Pirner | A. B. Bylev, H. J. Pirner | Hamiltonian Flow Equations for a Dirac Particle in an External Potential | 6 pages | Phys.Lett. B428 (1998) 329-333 | 10.1016/S0370-2693(98)00417-1 | null | hep-th | null | We derive and solve the Hamiltonian flow equations for a Dirac particle in an
external static potential. The method shows a general procedure for the set up
of continuous unitary transformations to reduce the Hamiltonian to a
quasidiagonal form.
| [
{
"created": "Mon, 22 Dec 1997 09:57:24 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bylev",
"A. B.",
""
],
[
"Pirner",
"H. J.",
""
]
] | We derive and solve the Hamiltonian flow equations for a Dirac particle in an external static potential. The method shows a general procedure for the set up of continuous unitary transformations to reduce the Hamiltonian to a quasidiagonal form. |
1106.4060 | Diego Rubiera-Garcia | C. dos Santos, D. Rubiera-Garcia | Generalized sine-Gordon solitons | 10 pages, 10 figures, revtex4 style, submitted to Journal of Physics
A; minor errors fixed | J. Phys. A: Math. Theor. 44: 425402 (2011) | 10.1088/1751-8113/44/42/425402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we construct analytical self-dual soliton solutions in (1+1)
dimensions for two families of models which can be seen as generalizations of
the sine-Gordon system but where the kinetic term is non-canonical. For that
purpose we use a projection method applied to the Sine-Gordon soliton. We focus
our attention on the wall and lump-like soliton solutions of these k-field
models. These solutions and their potentials reduce to those of the
Klein-Gordon kink and the standard lump for the case of canonical kinetic term.
As we increase the non-linearity on the kinetic term the corresponding
potentials get modified and the nature of the soliton may change, in
particular, undergoing a topology modification. The procedure constructed here
is shown to be a sort of generalization of the deformation method for a
specific class of k-field models.
| [
{
"created": "Mon, 20 Jun 2011 23:25:06 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2011 09:59:01 GMT",
"version": "v2"
}
] | 2012-04-11 | [
[
"Santos",
"C. dos",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] | In this paper we construct analytical self-dual soliton solutions in (1+1) dimensions for two families of models which can be seen as generalizations of the sine-Gordon system but where the kinetic term is non-canonical. For that purpose we use a projection method applied to the Sine-Gordon soliton. We focus our attention on the wall and lump-like soliton solutions of these k-field models. These solutions and their potentials reduce to those of the Klein-Gordon kink and the standard lump for the case of canonical kinetic term. As we increase the non-linearity on the kinetic term the corresponding potentials get modified and the nature of the soliton may change, in particular, undergoing a topology modification. The procedure constructed here is shown to be a sort of generalization of the deformation method for a specific class of k-field models. |
1509.07885 | Andrea Prudenziati | Andrea Prudenziati | Strong subadditivity and holography | added one paragraph to explain one of the results, one more citation
and a few typos corrected | Phys. Rev. D 93, 106003 (2016) | 10.1103/PhysRevD.93.106003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study in detail the relationship between strong subadditivity for a
boundary field theory and energy conditions for its bulk dual in 2+1
dimensions. We provide a discussion of known facts and new results organized
from the simplest case of a static system with collinear intervals to a time
dependent one in a generic configuration, with particular focus on the
holographic geometric description.
| [
{
"created": "Fri, 25 Sep 2015 20:28:14 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2015 19:27:59 GMT",
"version": "v2"
}
] | 2016-05-18 | [
[
"Prudenziati",
"Andrea",
""
]
] | We study in detail the relationship between strong subadditivity for a boundary field theory and energy conditions for its bulk dual in 2+1 dimensions. We provide a discussion of known facts and new results organized from the simplest case of a static system with collinear intervals to a time dependent one in a generic configuration, with particular focus on the holographic geometric description. |
hep-th/0212088 | Davoud Kamani | Davoud Kamani | Closed Superstring in Noncommutative Compact Spacetime | 11 pages, Latex, no figure | Mod. Phys. Lett. A 17 (2002) 2443-2451 | 10.1142/S0217732302009179 | null | hep-th | null | In this paper we study the effects of noncommutativity on a closed
superstring propagating in the spacetime that is compactified on tori. The
effects of compactification and noncommutativity appear in the momentum,
quantization, supercurrent, super-conformal generators and in the boundary
state of the closed superstring emitted from a D$_p$-brane with the
NS$\otimes$NS background $B$-field.
| [
{
"created": "Sat, 7 Dec 2002 16:31:46 GMT",
"version": "v1"
}
] | 2020-08-21 | [
[
"Kamani",
"Davoud",
""
]
] | In this paper we study the effects of noncommutativity on a closed superstring propagating in the spacetime that is compactified on tori. The effects of compactification and noncommutativity appear in the momentum, quantization, supercurrent, super-conformal generators and in the boundary state of the closed superstring emitted from a D$_p$-brane with the NS$\otimes$NS background $B$-field. |
hep-th/9609102 | Ingemar Bengtsson | Ingemar Bengtsson and Astri Kleppe | On Chiral p-Forms | 15 pages, latex | Int.J.Mod.Phys. A12 (1997) 3397-3412 | 10.1142/S0217751X9700178X | USITP 96-12 | hep-th | null | Some aspects of chiral p-forms, in particular the obstruction that makes it
hard to define covariant Green functions, are discussed. It is shown that a
proposed resolution involving an infinite set of gauge fields can be made
mathematically rigourous in the classical case. We also give a brief
demonstration of species doubling for chiral bosons.
| [
{
"created": "Thu, 12 Sep 1996 10:19:54 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bengtsson",
"Ingemar",
""
],
[
"Kleppe",
"Astri",
""
]
] | Some aspects of chiral p-forms, in particular the obstruction that makes it hard to define covariant Green functions, are discussed. It is shown that a proposed resolution involving an infinite set of gauge fields can be made mathematically rigourous in the classical case. We also give a brief demonstration of species doubling for chiral bosons. |
1708.02244 | Nathan Benjamin | Nathan Benjamin and Sarah M. Harrison | Symmetries of the refined D1/D5 BPS spectrum | 27 pages + appendices; v2: minor changes | null | 10.1007/JHEP11(2017)091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the large $N$ 1/4-BPS spectrum of the symmetric orbifold CFT
Sym$^N(M)$ deformed to the supergravity point in moduli space for $M= K3$ and
$T^4$. We consider refinement under both left- and right-moving $SU(2)_R$
symmetries of the superconformal algebra, and decompose the spectrum into
characters of the algebra. We find that at large $N$ the character
decomposition satisfies an unusual property, in which the degeneracy only
depends on a certain linear combination of left- and right-moving quantum
numbers, suggesting deeper symmetry structure. Furthermore, we consider the
action of discrete symmetry groups on these degeneracies, where certain
subgroups of the Conway group are known to play a role. We also comment on the
potential for larger discrete symmetry groups to appear in the large $N$ limit.
| [
{
"created": "Mon, 7 Aug 2017 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 08:32:23 GMT",
"version": "v2"
}
] | 2017-12-06 | [
[
"Benjamin",
"Nathan",
""
],
[
"Harrison",
"Sarah M.",
""
]
] | We examine the large $N$ 1/4-BPS spectrum of the symmetric orbifold CFT Sym$^N(M)$ deformed to the supergravity point in moduli space for $M= K3$ and $T^4$. We consider refinement under both left- and right-moving $SU(2)_R$ symmetries of the superconformal algebra, and decompose the spectrum into characters of the algebra. We find that at large $N$ the character decomposition satisfies an unusual property, in which the degeneracy only depends on a certain linear combination of left- and right-moving quantum numbers, suggesting deeper symmetry structure. Furthermore, we consider the action of discrete symmetry groups on these degeneracies, where certain subgroups of the Conway group are known to play a role. We also comment on the potential for larger discrete symmetry groups to appear in the large $N$ limit. |
2001.02471 | Harold Blas | H. Blas, R. Ochoa and D. Suarez | Quasi-integrable KdV models, towers of infinite number of anomalous
charges and soliton collisions | 49 pages, 28 figures.It has been added some discussions and 4 refs in
sec. 6 | J. High Energ. Phys. 2020, 136 (2020) | 10.1007/JHEP03(2020)136 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We found, through analytical and numerical methods, new towers of infinite
number of asymptotically conserved charges for deformations of the Korteweg-de
Vries equation (KdV). It is shown analytically that the standard KdV also
exhibits some towers of infinite number of anomalous charges, and that their
relevant anomalies vanish for $N-$soliton solution. Some deformations of the
KdV model are performed through the Riccati-type pseudo-potential approach, and
infinite number of exact non-local conservation laws is provided using a linear
formulation of the deformed model. In order to check the degrees of
modifications of the charges around the soliton interaction regions, we compute
numerically some representative anomalies, associated to the lowest order
quasi-conservation laws, depending on the deformation parameters $\{\epsilon_1,
\epsilon_2\}$, which include the standard KdV ($\epsilon_1=\epsilon_2=0$), the
regularized long-wave (RLW) ($\epsilon_1=1,\epsilon_2=0$), the modified
regularized long-wave (mRLW) ($\epsilon_1=\epsilon_2=1$) and the KdV-RLW
(KdV-BBM) type ($\epsilon_2=0,\,\epsilon \neq \{0,1\}$) equations,
respectively. Our numerical simulations show the elastic scattering of two and
three solitons for a wide range of values of the set $\{\epsilon_1,
\epsilon_2\}$, for a variety of amplitudes and relative velocities. The
KdV-type equations are quite ubiquitous in several areas of non-linear science,
and they find relevant applications in the study of General Relativity on
$AdS_{3}$, Bose-Einstein condensates, superconductivity and soliton gas and
turbulence in fluid dynamics.
| [
{
"created": "Wed, 8 Jan 2020 12:12:57 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Feb 2020 02:59:30 GMT",
"version": "v2"
}
] | 2020-06-02 | [
[
"Blas",
"H.",
""
],
[
"Ochoa",
"R.",
""
],
[
"Suarez",
"D.",
""
]
] | We found, through analytical and numerical methods, new towers of infinite number of asymptotically conserved charges for deformations of the Korteweg-de Vries equation (KdV). It is shown analytically that the standard KdV also exhibits some towers of infinite number of anomalous charges, and that their relevant anomalies vanish for $N-$soliton solution. Some deformations of the KdV model are performed through the Riccati-type pseudo-potential approach, and infinite number of exact non-local conservation laws is provided using a linear formulation of the deformed model. In order to check the degrees of modifications of the charges around the soliton interaction regions, we compute numerically some representative anomalies, associated to the lowest order quasi-conservation laws, depending on the deformation parameters $\{\epsilon_1, \epsilon_2\}$, which include the standard KdV ($\epsilon_1=\epsilon_2=0$), the regularized long-wave (RLW) ($\epsilon_1=1,\epsilon_2=0$), the modified regularized long-wave (mRLW) ($\epsilon_1=\epsilon_2=1$) and the KdV-RLW (KdV-BBM) type ($\epsilon_2=0,\,\epsilon \neq \{0,1\}$) equations, respectively. Our numerical simulations show the elastic scattering of two and three solitons for a wide range of values of the set $\{\epsilon_1, \epsilon_2\}$, for a variety of amplitudes and relative velocities. The KdV-type equations are quite ubiquitous in several areas of non-linear science, and they find relevant applications in the study of General Relativity on $AdS_{3}$, Bose-Einstein condensates, superconductivity and soliton gas and turbulence in fluid dynamics. |
hep-th/9911127 | H. Zerrouki | J. Rant, M. Schweda and H. Zerrouki | A comment on the 4D antisymmetric tensor field model | 12 pages | null | null | REF. TUW 99-24 | hep-th | null | We show the existence of a renormalizable local supersymmetry for the gauge
fixed action of the four dimensional antisymmetric tensor field model in a
curved background quantized in a generalized axial gauge. By using the
technique of the algebraic renormalization procedure, we prove the ultraviolet
finiteness of the model to all orders of perturbation theory.
| [
{
"created": "Wed, 17 Nov 1999 10:51:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rant",
"J.",
""
],
[
"Schweda",
"M.",
""
],
[
"Zerrouki",
"H.",
""
]
] | We show the existence of a renormalizable local supersymmetry for the gauge fixed action of the four dimensional antisymmetric tensor field model in a curved background quantized in a generalized axial gauge. By using the technique of the algebraic renormalization procedure, we prove the ultraviolet finiteness of the model to all orders of perturbation theory. |
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