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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2206.14900 | Matthew Heydeman | Matthew Heydeman, Gustavo J. Turiaci, Wenli Zhao | Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models | 56+8 pages, 16 figures | null | 10.1007/JHEP01(2023)098 | null | hep-th cond-mat.str-el gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) models with
complex fermions at non-zero background charge. Motivated by multi-charge
supersymmetric black holes, we propose a new $\mathcal{N}=2$ SYK model with
multiple $U(1)$ symmetries, integer charges, and a non-vanishing supersymmetric
index, realizing features not present in known SYK models. In both models, a
conformal solution with a super-Schwarzian mode emerges at low temperatures,
signalling the appearance of nearly AdS$_2$/BPS physics. However, in contrast
to complex SYK, the fermion scaling dimension depends on the background charge
in the conformal limit. For a critical charge, we find a high to low entropy
phase transition in which the conformal solution ceases to be valid. This
transition has a simple interpretation: the fermion scaling dimension violates
the unitarity bound. We offer some comments on a holographic interpretation for
supersymmetric black holes.
| [
{
"created": "Wed, 29 Jun 2022 20:39:27 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2022 02:05:35 GMT",
"version": "v2"
}
] | 2023-02-08 | [
[
"Heydeman",
"Matthew",
""
],
[
"Turiaci",
"Gustavo J.",
""
],
[
"Zhao",
"Wenli",
""
]
] | We study $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) models with complex fermions at non-zero background charge. Motivated by multi-charge supersymmetric black holes, we propose a new $\mathcal{N}=2$ SYK model with multiple $U(1)$ symmetries, integer charges, and a non-vanishing supersymmetric index, realizing features not present in known SYK models. In both models, a conformal solution with a super-Schwarzian mode emerges at low temperatures, signalling the appearance of nearly AdS$_2$/BPS physics. However, in contrast to complex SYK, the fermion scaling dimension depends on the background charge in the conformal limit. For a critical charge, we find a high to low entropy phase transition in which the conformal solution ceases to be valid. This transition has a simple interpretation: the fermion scaling dimension violates the unitarity bound. We offer some comments on a holographic interpretation for supersymmetric black holes. |
1302.1580 | Oscar J. C. Dias | Oscar J.C. Dias, Jorge E. Santos | Boundary Conditions for Kerr-AdS Perturbations | 33 pages, 6 figures | null | 10.1007/JHEP10(2013)156 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Teukolsky master equation and its associated spin-weighted spheroidal
harmonic decomposition simplify considerably the study of linear gravitational
perturbations of the Kerr(-AdS) black hole. However, the formulation of the
problem is not complete before we assign the physically relevant boundary
conditions. We find a set of two Robin boundary conditions (BCs) that must be
imposed on the Teukolsky master variables to get perturbations that are
asymptotically global AdS, i.e. that asymptotes to the Einstein Static
Universe. In the context of the AdS/CFT correspondence, these BCs allow a
non-zero expectation value for the CFT stress-energy tensor while keeping fixed
the boundary metric. When the rotation vanishes, we also find the gauge
invariant differential map between the Teukolsky and the Kodama-Ishisbashi
(Regge-Wheeler-Zerilli) formalisms. One of our Robin BCs maps to the scalar
sector and the other to the vector sector of the Kodama-Ishisbashi
decomposition. The Robin BCs on the Teukolsky variables will allow for a
quantitative study of instability timescales and quasinormal mode spectrum of
the Kerr-AdS black hole. As a warm-up for this programme, we use the Teukolsky
formalism to recover the quasinormal mode spectrum of global AdS-Schwarzschild,
complementing previous analysis in the literature.
| [
{
"created": "Wed, 6 Feb 2013 21:00:04 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition simplify considerably the study of linear gravitational perturbations of the Kerr(-AdS) black hole. However, the formulation of the problem is not complete before we assign the physically relevant boundary conditions. We find a set of two Robin boundary conditions (BCs) that must be imposed on the Teukolsky master variables to get perturbations that are asymptotically global AdS, i.e. that asymptotes to the Einstein Static Universe. In the context of the AdS/CFT correspondence, these BCs allow a non-zero expectation value for the CFT stress-energy tensor while keeping fixed the boundary metric. When the rotation vanishes, we also find the gauge invariant differential map between the Teukolsky and the Kodama-Ishisbashi (Regge-Wheeler-Zerilli) formalisms. One of our Robin BCs maps to the scalar sector and the other to the vector sector of the Kodama-Ishisbashi decomposition. The Robin BCs on the Teukolsky variables will allow for a quantitative study of instability timescales and quasinormal mode spectrum of the Kerr-AdS black hole. As a warm-up for this programme, we use the Teukolsky formalism to recover the quasinormal mode spectrum of global AdS-Schwarzschild, complementing previous analysis in the literature. |
1709.09776 | Allic Sivaramakrishnan | Allic Sivaramakrishnan | Entanglement Entropy with a Time-dependent Hamiltonian | 39 pages, 5 figures; v2: minor clarifications, references added | Phys. Rev. D 97, 066003 (2018) | 10.1103/PhysRevD.97.066003 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The time evolution of entanglement tracks how information propagates in
interacting quantum systems. We study entanglement entropy in CFT$_2$ with a
time-dependent Hamiltonian. We perturb by operators with time-dependent source
functions and use the replica trick to calculate higher order corrections to
entanglement entropy. At first order, we compute the correction due to a metric
perturbation in AdS$_3$/CFT$_2$ and find agreement on both sides of the
duality. Past first order, we find evidence of a universal structure of
entanglement propagation to all orders. The central feature is that
interactions entangle unentangled excitations. Entanglement propagates
according to "entanglement diagrams," proposed structures that are motivated by
accessory spacetime diagrams for real-time perturbation theory. To illustrate
the mechanisms involved, we compute higher-order corrections to free fermion
entanglement entropy. We identify an unentangled operator, one which does not
change the entanglement entropy to any order. Then, we introduce an interaction
and find it changes entanglement entropy by entangling the unentangled
excitations. The entanglement propagates in line with our conjecture. We
compute several entanglement diagrams. We provide tools to simplify the
computation of loop entanglement diagrams, which probe UV effects in
entanglement propagation in CFT and holography.
| [
{
"created": "Thu, 28 Sep 2017 01:28:40 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Dec 2017 00:50:25 GMT",
"version": "v2"
}
] | 2018-03-14 | [
[
"Sivaramakrishnan",
"Allic",
""
]
] | The time evolution of entanglement tracks how information propagates in interacting quantum systems. We study entanglement entropy in CFT$_2$ with a time-dependent Hamiltonian. We perturb by operators with time-dependent source functions and use the replica trick to calculate higher order corrections to entanglement entropy. At first order, we compute the correction due to a metric perturbation in AdS$_3$/CFT$_2$ and find agreement on both sides of the duality. Past first order, we find evidence of a universal structure of entanglement propagation to all orders. The central feature is that interactions entangle unentangled excitations. Entanglement propagates according to "entanglement diagrams," proposed structures that are motivated by accessory spacetime diagrams for real-time perturbation theory. To illustrate the mechanisms involved, we compute higher-order corrections to free fermion entanglement entropy. We identify an unentangled operator, one which does not change the entanglement entropy to any order. Then, we introduce an interaction and find it changes entanglement entropy by entangling the unentangled excitations. The entanglement propagates in line with our conjecture. We compute several entanglement diagrams. We provide tools to simplify the computation of loop entanglement diagrams, which probe UV effects in entanglement propagation in CFT and holography. |
2102.09254 | Predrag Dominis Prester | Maro Cvitan, Predrag Dominis Prester, Stefano Giaccari, Mateo
Pauli\v{s}i\'c and Ivan Vukovi\'c | Gauging the higher-spin-like symmetries by the Moyal product | 61 pages, 2 figures; v2: 56 pages, paper shortened, old section 6
removed, results and conclusions unchanged, version accepted for publishing
in JHEP | null | 10.1007/JHEP06(2021)144 | ZTF-EP-21-03 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze a novel approach to gauging rigid higher derivative (higher spin)
symmetries of free relativistic actions defined on flat spacetime, building on
the formalism originally developed by Bonora et al. and Bekaert et al. in their
studies of linear coupling of matter fields to an infinite tower of higher spin
fields. The off-shell definition is based on fields defined on a
$2d$-dimensional master space equipped with a symplectic structure, where the
infinite dimensional Lie algebra of gauge transformations is given by the Moyal
commutator. Using this algebra we construct well-defined weakly non-local
actions, both in the gauge and the matter sector, by mimicking the Yang-Mills
procedure. The theory allows for a description in terms of an infinite tower of
higher spin spacetime fields only on-shell. Interestingly, Euclidean theory
allows for such a description also off-shell. Owing to its formal similarity to
non-commutative field theories, the formalism allows for the introduction of a
covariant potential which plays the role of the generalised vielbein. This
covariant formulation uncovers the existence of other phases and shows that the
theory can be written in a matrix model form. The symmetries of the theory are
analyzed and conserved currents are explicitly constructed. By studying the
spin-2 sector we show that the emergent geometry is closely related to
teleparallel geometry, in the sense that the induced linear connection is
opposite to Weitzenb\"{o}ck's.
| [
{
"created": "Thu, 18 Feb 2021 10:21:49 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 2021 08:22:56 GMT",
"version": "v2"
}
] | 2021-07-14 | [
[
"Cvitan",
"Maro",
""
],
[
"Prester",
"Predrag Dominis",
""
],
[
"Giaccari",
"Stefano",
""
],
[
"Paulišić",
"Mateo",
""
],
[
"Vuković",
"Ivan",
""
]
] | We analyze a novel approach to gauging rigid higher derivative (higher spin) symmetries of free relativistic actions defined on flat spacetime, building on the formalism originally developed by Bonora et al. and Bekaert et al. in their studies of linear coupling of matter fields to an infinite tower of higher spin fields. The off-shell definition is based on fields defined on a $2d$-dimensional master space equipped with a symplectic structure, where the infinite dimensional Lie algebra of gauge transformations is given by the Moyal commutator. Using this algebra we construct well-defined weakly non-local actions, both in the gauge and the matter sector, by mimicking the Yang-Mills procedure. The theory allows for a description in terms of an infinite tower of higher spin spacetime fields only on-shell. Interestingly, Euclidean theory allows for such a description also off-shell. Owing to its formal similarity to non-commutative field theories, the formalism allows for the introduction of a covariant potential which plays the role of the generalised vielbein. This covariant formulation uncovers the existence of other phases and shows that the theory can be written in a matrix model form. The symmetries of the theory are analyzed and conserved currents are explicitly constructed. By studying the spin-2 sector we show that the emergent geometry is closely related to teleparallel geometry, in the sense that the induced linear connection is opposite to Weitzenb\"{o}ck's. |
1712.07767 | Kazuki Hasebe | Kazuki Hasebe | $SO(4)$ Landau Models and Matrix Geometry | 1+59 pages, 8 figures, 1 table, minor corrections, published version | Nucl.Phys. B 934 (2018) 149-211 | 10.1016/j.nuclphysb.2018.06.023 | null | hep-th cond-mat.mes-hall math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop an in-depth analysis of the $SO(4)$ Landau models on $S^3$ in the
$SU(2)$ monopole background and their associated matrix geometry. The Schwinger
and Dirac gauges for the $SU(2)$ monopole are introduced to provide a concrete
coordinate representation of $SO(4)$ operators and wavefunctions. The gauge
fixing enables us to demonstrate algebraic relations of the operators and the
$SO(4)$ covariance of the eigenfunctions. With the spin connection of $S^3$, we
construct an $SO(4)$ invariant Weyl-Landau operator and analyze its eigenvalue
problem with explicit form of the eigenstates. The obtained results include the
known formulae of the free Weyl operator eigenstates in the free field limit.
Other eigenvalue problems of variant relativistic Landau models, such as
massive Dirac-Landau and supersymmetric Landau models, are investigated too.
With the developed $SO(4)$ technologies, we derive the three-dimensional matrix
geometry in the Landau models. By applying the level projection method to the
Landau models, we identify the matrix elements of the $S^3$ coordinates as the
fuzzy three-sphere. For the non-relativistic model, it is shown that the fuzzy
three-sphere geometry emerges in each of the Landau levels and only in the
degenerate lowest energy sub-bands. We also point out that Dirac-Landau
operator accommodates two fuzzy three-spheres in each Landau level and the mass
term induces interaction between them.
| [
{
"created": "Thu, 21 Dec 2017 01:54:42 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2018 09:22:13 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jul 2018 05:50:39 GMT",
"version": "v3"
}
] | 2018-08-15 | [
[
"Hasebe",
"Kazuki",
""
]
] | We develop an in-depth analysis of the $SO(4)$ Landau models on $S^3$ in the $SU(2)$ monopole background and their associated matrix geometry. The Schwinger and Dirac gauges for the $SU(2)$ monopole are introduced to provide a concrete coordinate representation of $SO(4)$ operators and wavefunctions. The gauge fixing enables us to demonstrate algebraic relations of the operators and the $SO(4)$ covariance of the eigenfunctions. With the spin connection of $S^3$, we construct an $SO(4)$ invariant Weyl-Landau operator and analyze its eigenvalue problem with explicit form of the eigenstates. The obtained results include the known formulae of the free Weyl operator eigenstates in the free field limit. Other eigenvalue problems of variant relativistic Landau models, such as massive Dirac-Landau and supersymmetric Landau models, are investigated too. With the developed $SO(4)$ technologies, we derive the three-dimensional matrix geometry in the Landau models. By applying the level projection method to the Landau models, we identify the matrix elements of the $S^3$ coordinates as the fuzzy three-sphere. For the non-relativistic model, it is shown that the fuzzy three-sphere geometry emerges in each of the Landau levels and only in the degenerate lowest energy sub-bands. We also point out that Dirac-Landau operator accommodates two fuzzy three-spheres in each Landau level and the mass term induces interaction between them. |
1612.05590 | Rodrigo Ferreira Sobreiro | O. C. Junqueira, A. D. Pereira, G. Sadovski, T. R. S. Santos, R. F.
Sobreiro and A. A. Tomaz | Equivalence between the Lovelock-Cartan action and a constrained gauge
theory | 17 pages. No figures. Final version accepted for publication at the
EPJC | Eur.Phys.J. C77 (2017) no.4, 249 | 10.1140/epjc/s10052-017-4820-y | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the four-dimensional Lovelock-Cartan action can be derived from
a massless gauge theory for the $SO(1,3)$ group with an additional BRST trivial
part. The model is originally composed by a topological sector and a BRST exact
piece and has no explicit dependence on the metric, the vierbein or a mass
parameter. The vierbein is introduced together with a mass parameter through
some BRST trivial constraints. The effect of the constraints is to identify the
vierbein with some of the additional fields, transforming the original action
into the Lovelock-Cartan one. In this scenario, the mass parameter is
identified with Newton's constant while the gauge field is identified with the
spin-connection. The symmetries of the model are also explored. Moreover, the
extension of the model to a quantum version is qualitatively discussed.
| [
{
"created": "Fri, 16 Dec 2016 18:53:36 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2017 10:44:06 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Apr 2017 13:28:24 GMT",
"version": "v3"
}
] | 2017-04-21 | [
[
"Junqueira",
"O. C.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Sadovski",
"G.",
""
],
[
"Santos",
"T. R. S.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Tomaz",
"A. A.",
""
]
] | We show that the four-dimensional Lovelock-Cartan action can be derived from a massless gauge theory for the $SO(1,3)$ group with an additional BRST trivial part. The model is originally composed by a topological sector and a BRST exact piece and has no explicit dependence on the metric, the vierbein or a mass parameter. The vierbein is introduced together with a mass parameter through some BRST trivial constraints. The effect of the constraints is to identify the vierbein with some of the additional fields, transforming the original action into the Lovelock-Cartan one. In this scenario, the mass parameter is identified with Newton's constant while the gauge field is identified with the spin-connection. The symmetries of the model are also explored. Moreover, the extension of the model to a quantum version is qualitatively discussed. |
1405.4073 | Chen-Te Ma CTMa | Chen-Te Ma and Che-Min Shen | Cosmological Implications from O(D,D) | 33 pages and 4 figures, minor changes, references added | null | 10.1002/prop.201400049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Double field theory (DFT) offers a manifest T-duality formulation for
massless closed string field theory with both momentum and winding excitation.
The gauge symmetry is defined by the generalized Lie derivative which is the
extension of the Courant bracket. In this work, we solve and study the
properties of FRW (Friedmann- Robertson-Walker) and doubled spherically
symmetric metric of DFT.
| [
{
"created": "Fri, 16 May 2014 06:56:10 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2014 08:47:41 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Ma",
"Chen-Te",
""
],
[
"Shen",
"Che-Min",
""
]
] | Double field theory (DFT) offers a manifest T-duality formulation for massless closed string field theory with both momentum and winding excitation. The gauge symmetry is defined by the generalized Lie derivative which is the extension of the Courant bracket. In this work, we solve and study the properties of FRW (Friedmann- Robertson-Walker) and doubled spherically symmetric metric of DFT. |
1201.6258 | Valentina Forini | Valentina Forini, Nadav Drukker | Generalized quark-antiquark potential in AdS/CFT | 6 pages. Proceedings of the "XVII European Workshop on String Theory
2011", Padova, Italy, 5-9 September 2011 | null | 10.1002/prop.201200022 | ICCUB-12-004; kcl-mth-12-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk we present a family of Wilson loop operators which continuously
interpolates between the 1/2 BPS line and the antiparallel lines, and can be
thought of as calculating a generalization of the quark--antiquark potential
for the gauge theory on S^3 x R. We evaluate the first two orders of these
loops perturbatively both in the gauge and string theory. We obtain analytical
expressions in a systematic expansion around the 1/2 BPS configuration, and
comment on possible all-loop patterns for these Wilson loops.
| [
{
"created": "Mon, 30 Jan 2012 15:35:13 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Forini",
"Valentina",
""
],
[
"Drukker",
"Nadav",
""
]
] | In this talk we present a family of Wilson loop operators which continuously interpolates between the 1/2 BPS line and the antiparallel lines, and can be thought of as calculating a generalization of the quark--antiquark potential for the gauge theory on S^3 x R. We evaluate the first two orders of these loops perturbatively both in the gauge and string theory. We obtain analytical expressions in a systematic expansion around the 1/2 BPS configuration, and comment on possible all-loop patterns for these Wilson loops. |
1501.05189 | Pena Francisco | Samuel Lepe, Francisco Pe\~na and Francisco Torres | Holographic energy density on Ho\v{r}ava-Lifshitz cosmology | 8 pages, 3 figures, Published in PRD | null | 10.1103/PhysRevD.91.024023 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In Ho\v{r}ava-Lifshitz cosmology we use the holographic Ricci-like cut-off
for the energy density proposed by L. N. Granda and A. Oliveros and under this
framework we study, through the cosmic evolution at late times, the sign change
in the amount of non-conservation energy ($Q$) present in this cosmology. We
revise the early stage (curvature-dependent) of this cosmology, where a term
reminiscent of stiff matter is the dominant, and in this stage we find a
power-law solution for the cosmic scale factor although $\omega =-1$. Late and
early phantom schemes are obtained without requiring $\omega <-1$.
Nevertheless, these schemes are not feasible according to what is shown in this
paper. We also show that $ \omega =-1$ alone does not imply a de Sitter phase
in the present cosmology. Thermal aspects are revised by considering the energy
interchange between the bulk and the spacetime boundary and we conclude that
there is no thermal equilibrium between them. Finally, a ghost scalar graviton
(extra degree of freedom in HL gravity) is required by the observational data.
| [
{
"created": "Wed, 21 Jan 2015 15:15:18 GMT",
"version": "v1"
}
] | 2015-01-22 | [
[
"Lepe",
"Samuel",
""
],
[
"Peña",
"Francisco",
""
],
[
"Torres",
"Francisco",
""
]
] | In Ho\v{r}ava-Lifshitz cosmology we use the holographic Ricci-like cut-off for the energy density proposed by L. N. Granda and A. Oliveros and under this framework we study, through the cosmic evolution at late times, the sign change in the amount of non-conservation energy ($Q$) present in this cosmology. We revise the early stage (curvature-dependent) of this cosmology, where a term reminiscent of stiff matter is the dominant, and in this stage we find a power-law solution for the cosmic scale factor although $\omega =-1$. Late and early phantom schemes are obtained without requiring $\omega <-1$. Nevertheless, these schemes are not feasible according to what is shown in this paper. We also show that $ \omega =-1$ alone does not imply a de Sitter phase in the present cosmology. Thermal aspects are revised by considering the energy interchange between the bulk and the spacetime boundary and we conclude that there is no thermal equilibrium between them. Finally, a ghost scalar graviton (extra degree of freedom in HL gravity) is required by the observational data. |
0710.3833 | Oscar Lorente | O. Lorente-Espin and P. Talavera | A silence black hole: Hawking radiation at the Hagedorn temperature | 18 pages, harvmac | JHEP0804:080,2008 | 10.1088/1126-6708/2008/04/080 | null | hep-th | null | We compute semi-classically the Hawking emission for different types of black
hole in type II string theory. In particular we analyze the thermal transition
between NS5 branes and Little String Theory, finding compelling evidence for
information recovering. We find that once the near horizon limit is taken the
emission of a full family of models is exactly thermal even if back-reaction is
taken into account. Consequently these theories are non-unitary and can not
convey any information about the black hole internal states. It is argue that
this behaviour matches the string theory expectations. We suggest a plausible
reason for the vanishing of the jet-quenching parameter in such theories.
| [
{
"created": "Sat, 20 Oct 2007 10:49:24 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 2008 18:24:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lorente-Espin",
"O.",
""
],
[
"Talavera",
"P.",
""
]
] | We compute semi-classically the Hawking emission for different types of black hole in type II string theory. In particular we analyze the thermal transition between NS5 branes and Little String Theory, finding compelling evidence for information recovering. We find that once the near horizon limit is taken the emission of a full family of models is exactly thermal even if back-reaction is taken into account. Consequently these theories are non-unitary and can not convey any information about the black hole internal states. It is argue that this behaviour matches the string theory expectations. We suggest a plausible reason for the vanishing of the jet-quenching parameter in such theories. |
0707.2480 | Damiano Anselmi | Damiano Anselmi and Milenko Halat | Renormalization of Lorentz violating theories | 28 pages, 1 figure; v2: more references and applications, PRD version | Phys.Rev.D76:125011,2007 | 10.1103/PhysRevD.76.125011 | IFUP-TH 2007/18 | hep-th | null | We classify the unitary, renormalizable, Lorentz violating quantum field
theories of interacting scalars and fermions, obtained improving the behavior
of Feynman diagrams by means of higher space derivatives. Higher time
derivatives are not generated by renormalization. Renormalizability is ensured
by a "weighted power counting" criterion. The theories contain a dimensionful
parameter, yet a set of models are classically invariant under a weighted scale
transformation, which is anomalous at the quantum level. Formulas for the
weighted trace anomaly are derived. The renormalization-group properties are
studied.
| [
{
"created": "Tue, 17 Jul 2007 13:11:23 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2007 11:54:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Anselmi",
"Damiano",
""
],
[
"Halat",
"Milenko",
""
]
] | We classify the unitary, renormalizable, Lorentz violating quantum field theories of interacting scalars and fermions, obtained improving the behavior of Feynman diagrams by means of higher space derivatives. Higher time derivatives are not generated by renormalization. Renormalizability is ensured by a "weighted power counting" criterion. The theories contain a dimensionful parameter, yet a set of models are classically invariant under a weighted scale transformation, which is anomalous at the quantum level. Formulas for the weighted trace anomaly are derived. The renormalization-group properties are studied. |
1509.08593 | Behzad Eslam Panah | S. H. Hendi, A. Sheykhi, S. Panahiyan and B. Eslam Panah | Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton
black holes | 12 pages, 9 figures, accepted in Phys. Rev. D | Phys. Rev. D 92, 064028 (2015) | 10.1103/PhysRevD.92.064028 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider a linearly charged dilatonic black holes and study
their thermodynamical behavior in the context of phase transition and
thermodynamic geometry. We show that, depending on the values of the
parameters, these type of black holes may enjoy two types of phase transition.
We also find that there are three critical behaviors near the critical points
for these black holes; nonphysical unstable to physical stable, large to small,
and small to large black holes phase transition. Next, we employ a
thermodynamical metric for studying thermodynamical geometry of these black
holes. We show that the characteristic behavioral of Ricci scalar of this
metric enables one to recognize the type of phase transition and critical
behavior of the black holes near phase transition points. Finally, we will
extend thermodynamical space by considering dilaton parameter as extensive
parameter. We will show that by this consideration, Weinhold, Ruppeiner and
Quevedo metrics provide extra divergencies which are not related to any phase
transition point whereas our new method is providing an effective machinery.
| [
{
"created": "Tue, 29 Sep 2015 05:35:51 GMT",
"version": "v1"
}
] | 2015-11-25 | [
[
"Hendi",
"S. H.",
""
],
[
"Sheykhi",
"A.",
""
],
[
"Panahiyan",
"S.",
""
],
[
"Panah",
"B. Eslam",
""
]
] | In this paper, we consider a linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transition and thermodynamic geometry. We show that, depending on the values of the parameters, these type of black holes may enjoy two types of phase transition. We also find that there are three critical behaviors near the critical points for these black holes; nonphysical unstable to physical stable, large to small, and small to large black holes phase transition. Next, we employ a thermodynamical metric for studying thermodynamical geometry of these black holes. We show that the characteristic behavioral of Ricci scalar of this metric enables one to recognize the type of phase transition and critical behavior of the black holes near phase transition points. Finally, we will extend thermodynamical space by considering dilaton parameter as extensive parameter. We will show that by this consideration, Weinhold, Ruppeiner and Quevedo metrics provide extra divergencies which are not related to any phase transition point whereas our new method is providing an effective machinery. |
1405.1334 | Patrick Concha | P.K. Concha, E.K. Rodr\'iguez | Maxwell Superalgebras and Abelian Semigroup Expansion | 31 pages, some clarifications in the abstract,introduction and
conclusion, typos corrected, a reference and acknowledgements added, accepted
for publication in Nuclear Physics B | Nucl. Phys. B 886, 1128-1152 (2014) | 10.1016/j.nuclphysb.2014.07.022 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Abelian semigroup expansion is a powerful and simple method to derive new
Lie algebras from a given one. Recently it was shown that the $S$-expansion of
$\mathfrak{so}\left( 3,2\right) $ leads us to the Maxwell algebra
$\mathcal{M}$. In this paper we extend this result to superalgebras, by proving
that different choices of abelian semigroups $S$ lead to interesting $D=4$
Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra
$s\mathcal{M}$ and the $N$-extended Maxwell superalgebra $s\mathcal{M}^{\left(
N\right) }$ recently found by the Maurer Cartan expansion procedure, are
derived alternatively as an $S$-expansion of $\mathfrak{osp}\left( 4|N\right)
$. Moreover we show that new minimal Maxwell superalgebras type
$s\mathcal{M}_{m+2}$ and their $N$-extended generalization can be obtained
using the $S$-expansion procedure.
| [
{
"created": "Tue, 6 May 2014 16:05:27 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Aug 2014 09:49:35 GMT",
"version": "v2"
}
] | 2014-08-14 | [
[
"Concha",
"P. K.",
""
],
[
"Rodríguez",
"E. K.",
""
]
] | The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the $S$-expansion of $\mathfrak{so}\left( 3,2\right) $ leads us to the Maxwell algebra $\mathcal{M}$. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups $S$ lead to interesting $D=4$ Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra $s\mathcal{M}$ and the $N$-extended Maxwell superalgebra $s\mathcal{M}^{\left( N\right) }$ recently found by the Maurer Cartan expansion procedure, are derived alternatively as an $S$-expansion of $\mathfrak{osp}\left( 4|N\right) $. Moreover we show that new minimal Maxwell superalgebras type $s\mathcal{M}_{m+2}$ and their $N$-extended generalization can be obtained using the $S$-expansion procedure. |
1812.04105 | Roberto Maluf | Kevin M. Amarilo, Mapse Barroso F. Filho, Roberto V. Maluf | Effects of spontaneous Lorentz violation in gravitational waves
solutions | 10 pages, Presented at the Workshop on Particles and Fields -
November 28-30, 2018, Campina Grande - PB, Brazil | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational wave solutions with spontaneous Lorentz symmetry breaking are
studied. This breaking is triggered by a vector field, known as the bumblebee
field. A brief analysis of the main consequences of this symmetry breaking on
free-waves solutions and in the presence of matter sources are presented. For
the free case, the modified wave equation for the gravitational perturbation
field is solved, and we compare the polarization states with the usual
solution. Considering a current that acts as a source of the radiation, we
solve the equation of motion using the Green function method. Finally,
considering that the source has slow motion, we derive the new quadrupole
formula.
| [
{
"created": "Mon, 10 Dec 2018 21:35:34 GMT",
"version": "v1"
}
] | 2018-12-12 | [
[
"Amarilo",
"Kevin M.",
""
],
[
"Filho",
"Mapse Barroso F.",
""
],
[
"Maluf",
"Roberto V.",
""
]
] | Gravitational wave solutions with spontaneous Lorentz symmetry breaking are studied. This breaking is triggered by a vector field, known as the bumblebee field. A brief analysis of the main consequences of this symmetry breaking on free-waves solutions and in the presence of matter sources are presented. For the free case, the modified wave equation for the gravitational perturbation field is solved, and we compare the polarization states with the usual solution. Considering a current that acts as a source of the radiation, we solve the equation of motion using the Green function method. Finally, considering that the source has slow motion, we derive the new quadrupole formula. |
hep-th/0403176 | Alfio Bonanno | A.Bonanno, G.Lacagnina | Spontaneous Symmetry Breaking and Proper-Time Flow Equations | 20 pages, 8 figures | Nucl.Phys. B693 (2004) 36-50 | 10.1016/j.nuclphysb.2004.06.003 | null | hep-th hep-lat hep-ph | null | We discuss the phenomenon of spontaneous symmetry breaking by means of a
class of non-perturbative renormalization group flow equations which employ a
regulating smearing function in the proper-time integration. We show, both
analytically and numerically, that the convexity property of the renormalized
local potential is obtained by means of the integration of arbitrarily low
momenta in the flow equation. Hybrid Monte Carlo simulations are performed to
compare the lattice Effective Potential with the numerical solution of the
renormalization group flow equation. We find very good agreement both in the
strong and in the weak coupling regime.
| [
{
"created": "Wed, 17 Mar 2004 19:02:28 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bonanno",
"A.",
""
],
[
"Lacagnina",
"G.",
""
]
] | We discuss the phenomenon of spontaneous symmetry breaking by means of a class of non-perturbative renormalization group flow equations which employ a regulating smearing function in the proper-time integration. We show, both analytically and numerically, that the convexity property of the renormalized local potential is obtained by means of the integration of arbitrarily low momenta in the flow equation. Hybrid Monte Carlo simulations are performed to compare the lattice Effective Potential with the numerical solution of the renormalization group flow equation. We find very good agreement both in the strong and in the weak coupling regime. |
hep-th/9208010 | Shahn Majid | Tomasz Brzezinski and Shahn Majid | A Class of Bicovariant Differential Calculi on Hopf Algebras | 16 pages | Lett.Math.Phys. 26 (1992) 67-78 | 10.1007/BF00420519 | DAMTP/92-33 | hep-th math.QA | null | We introduce a large class of bicovariant differential calculi on any quantum
group $A$, associated to $Ad$-invariant elements. For example, the deformed
trace element on $SL_q(2)$ recovers Woronowicz' $4D_\pm$ calculus. More
generally, we obtain a sequence of differential calculi on each quantum group
$A(R)$, based on the theory of the corresponding braided groups $B(R)$. Here
$R$ is any regular solution of the QYBE.
| [
{
"created": "Mon, 3 Aug 1992 13:09:43 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Brzezinski",
"Tomasz",
""
],
[
"Majid",
"Shahn",
""
]
] | We introduce a large class of bicovariant differential calculi on any quantum group $A$, associated to $Ad$-invariant elements. For example, the deformed trace element on $SL_q(2)$ recovers Woronowicz' $4D_\pm$ calculus. More generally, we obtain a sequence of differential calculi on each quantum group $A(R)$, based on the theory of the corresponding braided groups $B(R)$. Here $R$ is any regular solution of the QYBE. |
2309.13859 | Mu-In Park | Mu-In Park and Hyung Won Lee | Massless Rotating Spacetimes in Four-Dimensional Horava Gravity | 10 pages, 3 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a particular exact solution for rotating spacetimes in
four-dimensional Horava gravity, which has been proposed as a renormalizable
gravity model without the ghost problem. We show that the massless Kerr
spacetime or the massless Kerr-(A)dS spacetime in Einstein gravity is an exact
solution in four-dimensional Horava for an arbitrary IR Lorentz-violation
parameter lambda, but with an appropriate cosmological constant. In particular,
for the massless topological Kerr-AdS black hole solution with the hyperbolic
horizon topology or the massless Kerr-dS cosmological solution with the
spherical horizon topology, there exist the ergosphere and the non-vanishing
Hawking temperature, which imply the existence of negative mass black holes as
well as positive mass spacetimes, by losing its mass from the massless ones via
the Hawking radiation or Penrose process in the ergosphere.
| [
{
"created": "Mon, 25 Sep 2023 04:04:09 GMT",
"version": "v1"
}
] | 2023-09-26 | [
[
"Park",
"Mu-In",
""
],
[
"Lee",
"Hyung Won",
""
]
] | We study a particular exact solution for rotating spacetimes in four-dimensional Horava gravity, which has been proposed as a renormalizable gravity model without the ghost problem. We show that the massless Kerr spacetime or the massless Kerr-(A)dS spacetime in Einstein gravity is an exact solution in four-dimensional Horava for an arbitrary IR Lorentz-violation parameter lambda, but with an appropriate cosmological constant. In particular, for the massless topological Kerr-AdS black hole solution with the hyperbolic horizon topology or the massless Kerr-dS cosmological solution with the spherical horizon topology, there exist the ergosphere and the non-vanishing Hawking temperature, which imply the existence of negative mass black holes as well as positive mass spacetimes, by losing its mass from the massless ones via the Hawking radiation or Penrose process in the ergosphere. |
0803.2333 | Chaiho Rim Prof | Hyeong-Chan Kim, Chaiho Rim, and Jae Hyung Yee | Symmetric ordering effect on Casimir energy in $\kappa-$Minkowski
spacetime | 4 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the Casimir energy of spherical shell, for the symmetrically
deformed scalar field in $\kappa$-Minkowski space-time, satisfying Dirichlet
boundary condition. The Casimir energy shows the particle anti-particle
symmetry contrary to the asymmetrically deformed case. In addition, the
deformation effect starts from $O(1/\kappa)$ term unlike in the parallel
plates.
| [
{
"created": "Sun, 16 Mar 2008 05:12:09 GMT",
"version": "v1"
}
] | 2008-03-18 | [
[
"Kim",
"Hyeong-Chan",
""
],
[
"Rim",
"Chaiho",
""
],
[
"Yee",
"Jae Hyung",
""
]
] | We present the Casimir energy of spherical shell, for the symmetrically deformed scalar field in $\kappa$-Minkowski space-time, satisfying Dirichlet boundary condition. The Casimir energy shows the particle anti-particle symmetry contrary to the asymmetrically deformed case. In addition, the deformation effect starts from $O(1/\kappa)$ term unlike in the parallel plates. |
2208.13443 | Konstantin Stepanyantz | Nikolai Meshcheriakov, Victoria Shatalova, Konstantin Stepanyantz | Coefficients at powers of logarithms in the HD+MSL renormalization
scheme | 16 pages, 1 figure, the version accepted for publication in Physical
Review D | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For renormalizable theories with a single coupling constant regularized by
higher derivatives we investigate the coefficients at powers of logarithms
present in the renormalization constants assuming that divergences are removed
by minimal subtractions of logarithms. According to this (HD+MSL)
renormalization prescription the renormalization constants include only powers
of $\ln\Lambda/\mu$, where $\Lambda$ and $\mu$ are the dimensionful
regularization parameter and the renormalization point, respectively. We
construct general explicit expressions for arbitrary coefficients at powers of
this logarithm present in the coupling constant renormalization and in the
field renormalization constant which relate them to the $\beta$-function and
(in the latter case) to the corresponding anomalous dimension. To check the
correctness, we compare the results with the explicit four-loop calculation
made earlier for ${\cal N}=1$ SQED and (for the supersymmetric case) rederive a
relation between the renormalization constants following from the NSVZ
equation.
| [
{
"created": "Mon, 29 Aug 2022 09:25:04 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Oct 2022 06:49:05 GMT",
"version": "v2"
}
] | 2022-10-14 | [
[
"Meshcheriakov",
"Nikolai",
""
],
[
"Shatalova",
"Victoria",
""
],
[
"Stepanyantz",
"Konstantin",
""
]
] | For renormalizable theories with a single coupling constant regularized by higher derivatives we investigate the coefficients at powers of logarithms present in the renormalization constants assuming that divergences are removed by minimal subtractions of logarithms. According to this (HD+MSL) renormalization prescription the renormalization constants include only powers of $\ln\Lambda/\mu$, where $\Lambda$ and $\mu$ are the dimensionful regularization parameter and the renormalization point, respectively. We construct general explicit expressions for arbitrary coefficients at powers of this logarithm present in the coupling constant renormalization and in the field renormalization constant which relate them to the $\beta$-function and (in the latter case) to the corresponding anomalous dimension. To check the correctness, we compare the results with the explicit four-loop calculation made earlier for ${\cal N}=1$ SQED and (for the supersymmetric case) rederive a relation between the renormalization constants following from the NSVZ equation. |
1309.2015 | Andrei Linde | Renata Kallosh and Andrei Linde | Multi-field Conformal Cosmological Attractors | 17 pages, 10 figures | null | 10.1088/1475-7516/2013/12/006 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a broad class of multi-field inflationary models with
spontaneously broken conformal invariance. It generalizes the recently
discovered class of cosmological attractors with a single inflaton field. In
the new multi-field theories, just as in the previously studied single-field
models, the moduli space has a boundary (Kahler cone) in terms of the original
homogeneous conformal variables. Upon spontaneous breaking of the conformal
invariance and switching to the Einstein frame, this boundary moves to infinity
in terms of the canonically normalized inflaton field. This results in the
exponential stretching and flattening of scalar potentials in the vicinity of
the boundary of the moduli space, which makes even very steep potentials
perfectly suitable for the slow-roll inflation. These theories, just like their
single-field versions, typically lead to inflationary perturbations with n_s
=1-2/N and r = 12/N^2, where N is the number of e-foldings.
| [
{
"created": "Sun, 8 Sep 2013 22:38:32 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] | We describe a broad class of multi-field inflationary models with spontaneously broken conformal invariance. It generalizes the recently discovered class of cosmological attractors with a single inflaton field. In the new multi-field theories, just as in the previously studied single-field models, the moduli space has a boundary (Kahler cone) in terms of the original homogeneous conformal variables. Upon spontaneous breaking of the conformal invariance and switching to the Einstein frame, this boundary moves to infinity in terms of the canonically normalized inflaton field. This results in the exponential stretching and flattening of scalar potentials in the vicinity of the boundary of the moduli space, which makes even very steep potentials perfectly suitable for the slow-roll inflation. These theories, just like their single-field versions, typically lead to inflationary perturbations with n_s =1-2/N and r = 12/N^2, where N is the number of e-foldings. |
2008.01089 | Shreya Vardhan | Hong Liu and Shreya Vardhan | Entanglement entropies of equilibrated pure states in quantum many-body
systems and gravity | 54 pages, 21 figures, v2: minor error corrected and references added | PRX Quantum 2, 010344 (2021) | 10.1103/PRXQuantum.2.010344 | MIT-CTP/5227 | hep-th cond-mat.stat-mech cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a universal approximation for the Renyi entropies of a pure state
at late times in a non-integrable many-body system, which macroscopically
resembles an equilibrium density matrix. The resulting expressions are fully
determined by properties of the associated equilibrium density matrix, and are
hence independent of the details of the initial state, while also being
manifestly consistent with unitary time-evolution. For equilibrated pure states
in gravity systems, such as those involving black holes, this approximation
gives a prescription for calculating entanglement entropies using Euclidean
path integrals which is consistent with unitarity and hence can be used to
address the information loss paradox of Hawking. Applied to recent models of
evaporating black holes and eternal black holes coupled to baths, it provides a
derivation of replica wormholes, and elucidates their mathematical and physical
origins. In particular, it shows that replica wormholes can arise in a system
with a fixed Hamiltonian, without the need for ensemble averages.
| [
{
"created": "Mon, 3 Aug 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2020 17:42:17 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Liu",
"Hong",
""
],
[
"Vardhan",
"Shreya",
""
]
] | We develop a universal approximation for the Renyi entropies of a pure state at late times in a non-integrable many-body system, which macroscopically resembles an equilibrium density matrix. The resulting expressions are fully determined by properties of the associated equilibrium density matrix, and are hence independent of the details of the initial state, while also being manifestly consistent with unitary time-evolution. For equilibrated pure states in gravity systems, such as those involving black holes, this approximation gives a prescription for calculating entanglement entropies using Euclidean path integrals which is consistent with unitarity and hence can be used to address the information loss paradox of Hawking. Applied to recent models of evaporating black holes and eternal black holes coupled to baths, it provides a derivation of replica wormholes, and elucidates their mathematical and physical origins. In particular, it shows that replica wormholes can arise in a system with a fixed Hamiltonian, without the need for ensemble averages. |
hep-th/0109081 | Serguei Ketov | Sergei V. Ketov, Thorsten Leonhardt and Werner R\"uhl (University of
Kaiserslautern, Germany) | Engineering a bosonic AdS/CFT correspondence | 20 pages, 1 Table, LaTeX; comments added, title changed | null | null | KL-TH 01/08 | hep-th | null | We search for a possible bosonic (i.e. non-supersymmetric) string/gauge
theory correspondence by using IIB and 0B strings as a guide. Our construction
is based on the low-energy bosonic string effective action modified by an extra
form flux. The closed string tachyon can be stabilyzed if the AdS scale L does
not exceed certain critical value, L<L_c. We argue that the extra form may be
generated as a soliton from 3-string junctions, similarly to the known
non-perturbative (Jackiw-Rebbi-'t Hooft-Hasenfratz) mechanism in gauge
theories. The stable AdS_{13} x S^{13} solution is found, which apparently
implies the existence of a 12-dimensional AdS-boundary conformal field theory
with the SO(14) global symmetry in the large N 't Hooft limit. We also
generalize the conjectured AdS/CFT duality to finite temperature, and calculate
the `glueball' masses from the dilaton wave equation in the AdS black hole
background, in various spacetime dimensions.
| [
{
"created": "Mon, 10 Sep 2001 13:54:26 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Feb 2002 19:23:06 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ketov",
"Sergei V.",
"",
"University of\n Kaiserslautern, Germany"
],
[
"Leonhardt",
"Thorsten",
"",
"University of\n Kaiserslautern, Germany"
],
[
"Rühl",
"Werner",
"",
"University of\n Kaiserslautern, Germany"
]
] | We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form flux. The closed string tachyon can be stabilyzed if the AdS scale L does not exceed certain critical value, L<L_c. We argue that the extra form may be generated as a soliton from 3-string junctions, similarly to the known non-perturbative (Jackiw-Rebbi-'t Hooft-Hasenfratz) mechanism in gauge theories. The stable AdS_{13} x S^{13} solution is found, which apparently implies the existence of a 12-dimensional AdS-boundary conformal field theory with the SO(14) global symmetry in the large N 't Hooft limit. We also generalize the conjectured AdS/CFT duality to finite temperature, and calculate the `glueball' masses from the dilaton wave equation in the AdS black hole background, in various spacetime dimensions. |
hep-th/0205234 | Duiliu Diaconescu | Duiliu-Emanuel Diaconescu, Bogdan Florea, Antonella Grassi | Geometric Transitions and Open String Instantons | 24 pages, 4 figures, published version | Adv.Theor.Math.Phys. 6 (2003) 619-642 | null | null | hep-th | null | We investigate the physical and mathematical structure of a new class of
geometric transitions proposed by Aganagic and Vafa. The distinctive aspect of
these transitions is the presence of open string instanton corrections to
Chern-Simons theory. We find a precise match between open and closed string
topological amplitudes applying a beautiful idea proposed by Witten some time
ago. The closed string amplitudes are reproduced from an open string
perspective as a result of a fascinating interplay of enumerative techniques
and Chern-Simons computations.
| [
{
"created": "Thu, 23 May 2002 18:01:09 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2002 17:47:32 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jan 2003 16:51:16 GMT",
"version": "v3"
},
{
"created": "Fri, 2 May 2003 15:28:50 GMT",
"version": "v4"
},
{
"cre... | 2007-05-23 | [
[
"Diaconescu",
"Duiliu-Emanuel",
""
],
[
"Florea",
"Bogdan",
""
],
[
"Grassi",
"Antonella",
""
]
] | We investigate the physical and mathematical structure of a new class of geometric transitions proposed by Aganagic and Vafa. The distinctive aspect of these transitions is the presence of open string instanton corrections to Chern-Simons theory. We find a precise match between open and closed string topological amplitudes applying a beautiful idea proposed by Witten some time ago. The closed string amplitudes are reproduced from an open string perspective as a result of a fascinating interplay of enumerative techniques and Chern-Simons computations. |
1503.06806 | James Unwin | James Unwin | On Baryogenesis from a Complex Inflaton | 5 pages | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the particle asymmetry due to inflationary baryogenesis involving a
complex inflaton, obtaining a different result to that in the literature. While
asymmetries are found to be significantly smaller than previously calculated,
in certain parameter regions baryogenesis can still be achieved.
| [
{
"created": "Mon, 23 Mar 2015 20:00:55 GMT",
"version": "v1"
}
] | 2015-03-25 | [
[
"Unwin",
"James",
""
]
] | We derive the particle asymmetry due to inflationary baryogenesis involving a complex inflaton, obtaining a different result to that in the literature. While asymmetries are found to be significantly smaller than previously calculated, in certain parameter regions baryogenesis can still be achieved. |
2301.02964 | Per Kraus | Seolhwa Kim, Per Kraus, Richard M. Myers | Systematics of Boundary Actions in Gauge Theory and Gravity | 67 pages. v2: references added, typos corrected | null | 10.1007/JHEP04(2023)121 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We undertake a general study of the boundary (or edge) modes that arise in
gauge and gravitational theories defined on a space with boundary, either
asymptotic or at finite distance, focusing on efficient techniques for
computing the corresponding boundary action. Such actions capture all the
dynamics of the system that are implied by its asymptotic symmetry group, such
as correlation functions of the corresponding conserved currents. Working in
the covariant phase space formalism, we develop a collection of approaches for
isolating the boundary modes and their dynamics, and illustrate with various
examples, notably AdS$_3$ gravity (with and without a gravitational
Chern-Simons terms) subject to assorted boundary conditions.
| [
{
"created": "Sun, 8 Jan 2023 03:05:10 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2023 02:13:30 GMT",
"version": "v2"
}
] | 2023-05-17 | [
[
"Kim",
"Seolhwa",
""
],
[
"Kraus",
"Per",
""
],
[
"Myers",
"Richard M.",
""
]
] | We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the corresponding boundary action. Such actions capture all the dynamics of the system that are implied by its asymptotic symmetry group, such as correlation functions of the corresponding conserved currents. Working in the covariant phase space formalism, we develop a collection of approaches for isolating the boundary modes and their dynamics, and illustrate with various examples, notably AdS$_3$ gravity (with and without a gravitational Chern-Simons terms) subject to assorted boundary conditions. |
hep-th/0403058 | Alon Faraggi | A.E. Faraggi, C. Kounnas, S.E.M. Nooij, J. Rizos | Classification of the chiral Z2XZ2 fermionic models in the heterotic
superstring | 36 pages. Standard LaTeX | Nucl.Phys. B695 (2004) 41-72 | 10.1016/j.nuclphysb.2004.06.030 | OUTP-03-30P, LPTENS-03/36 | hep-th hep-ph | null | The first particle physics observable whose origin may be sought in string
theory is the triple replication of the matter generations. The class of Z2XZ2
orbifolds of six dimensional compactified tori, that have been most widely
studied in the free fermionic formulation, correlate the family triplication
with the existence of three twisted sectors in this class. In this work we seek
an improved understanding of the geometrical origin of the three generation
free fermionic models. Using fermionic and orbifold techniques we classify the
Z2XZ2 orbifold with symmetric shifts on six dimensional compactified internal
manifolds. We show that perturbative three generation models are not obtained
in the case of Z2XZ2 orbifolds with symmetric shifts on complex tori, and that
the perturbative three generation models in this class necessarily employ an
asymmetric shift. We present a class of three generation models in which the
SO(10) gauge symmetry cannot be broken perturbatively, while preserving the
Standard Model matter content. We discuss the potential implications of the
asymmetric shift for strong-weak coupling duality and moduli stabilization. We
show that the freedom in the modular invariant phases in the N=1 vacua that
control the chiral content, can be interpreted as vacuum expectation values of
background fields of the underlying N=4 theory, whose dynamical components are
projected out by the Z2-fermionic projections. In this class of vacua the
chiral content of the models is determined by the underlying N=4 mother theory.
| [
{
"created": "Thu, 4 Mar 2004 18:05:56 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Faraggi",
"A. E.",
""
],
[
"Kounnas",
"C.",
""
],
[
"Nooij",
"S. E. M.",
""
],
[
"Rizos",
"J.",
""
]
] | The first particle physics observable whose origin may be sought in string theory is the triple replication of the matter generations. The class of Z2XZ2 orbifolds of six dimensional compactified tori, that have been most widely studied in the free fermionic formulation, correlate the family triplication with the existence of three twisted sectors in this class. In this work we seek an improved understanding of the geometrical origin of the three generation free fermionic models. Using fermionic and orbifold techniques we classify the Z2XZ2 orbifold with symmetric shifts on six dimensional compactified internal manifolds. We show that perturbative three generation models are not obtained in the case of Z2XZ2 orbifolds with symmetric shifts on complex tori, and that the perturbative three generation models in this class necessarily employ an asymmetric shift. We present a class of three generation models in which the SO(10) gauge symmetry cannot be broken perturbatively, while preserving the Standard Model matter content. We discuss the potential implications of the asymmetric shift for strong-weak coupling duality and moduli stabilization. We show that the freedom in the modular invariant phases in the N=1 vacua that control the chiral content, can be interpreted as vacuum expectation values of background fields of the underlying N=4 theory, whose dynamical components are projected out by the Z2-fermionic projections. In this class of vacua the chiral content of the models is determined by the underlying N=4 mother theory. |
0906.0257 | Vladimir Dobrev | N. Aizawa, V.K. Dobrev | Intertwining Operator Realization of Non-Relativistic Holography | 15 pages, LATEX; Published version | Nucl.Phys.B828:581-593,2010 | 10.1016/j.nuclphysb.2009.10.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a group-theoretic interpretation of non-relativistic holography as
equivalence between representations of the Schrodinger algebra describing bulk
fields and boundary fields. Our main result is the explicit construction of the
boundary-to-bulk operators in the framework of representation theory (without
specifying any action). Further we show that these operators and the
bulk-to-boundary operators are intertwining operators. In analogy to the
relativistic case, we show that each bulk field has two boundary fields with
conjugated conformal weights. These fields are related by another intertwining
operator given by a two-point function on the boundary. Analogously to the
relativistic result of Klebanov-Witten we give the conditions when both
boundary fields are physical. Finally, we recover in our formalism earlier
non-relativistic results for scalar fields by Son and others.
| [
{
"created": "Mon, 1 Jun 2009 10:48:44 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2009 12:17:34 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Dec 2009 02:08:31 GMT",
"version": "v3"
}
] | 2010-01-06 | [
[
"Aizawa",
"N.",
""
],
[
"Dobrev",
"V. K.",
""
]
] | We give a group-theoretic interpretation of non-relativistic holography as equivalence between representations of the Schrodinger algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the boundary-to-bulk operators in the framework of representation theory (without specifying any action). Further we show that these operators and the bulk-to-boundary operators are intertwining operators. In analogy to the relativistic case, we show that each bulk field has two boundary fields with conjugated conformal weights. These fields are related by another intertwining operator given by a two-point function on the boundary. Analogously to the relativistic result of Klebanov-Witten we give the conditions when both boundary fields are physical. Finally, we recover in our formalism earlier non-relativistic results for scalar fields by Son and others. |
hep-th/0201193 | Osman Teoman Turgut | E. Toprak (1) and O. T. Turgut (1 and 2) ((1) Bogazici University,
Istanbul and (2) Feza Gursey Institute, Istanbul) | Large N limit of SO(N) scalar gauge theory | 16 pages, no figures | J.Math.Phys. 43 (2002) 1340-1352 | 10.1063/1.1430898 | null | hep-th | null | In this paper we study the large $N_c$ limit of SO(N_c) gauge theory coupled
to a real scalar field following ideas of Rajeev. We see that the phase space
of this resulting classical theory is Sp_1(H)/U(H_+) which is the analog of the
Siegel disc in infinite dimensions. The linearized equations of motion give us
a version of the well-known 't Hooft equation of two dimensional QCD.
| [
{
"created": "Thu, 24 Jan 2002 13:58:59 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Toprak",
"E.",
"",
"1 and 2"
],
[
"Turgut",
"O. T.",
"",
"1 and 2"
]
] | In this paper we study the large $N_c$ limit of SO(N_c) gauge theory coupled to a real scalar field following ideas of Rajeev. We see that the phase space of this resulting classical theory is Sp_1(H)/U(H_+) which is the analog of the Siegel disc in infinite dimensions. The linearized equations of motion give us a version of the well-known 't Hooft equation of two dimensional QCD. |
1008.5203 | Jacques Distler | Oscar Chacaltana and Jacques Distler | Tinkertoys for Gaiotto Duality | 61 pages, 136 figures (a veritable comic book). V2: Grotty bitmapped
figures replaced with PDF versions; a couple of references fixed | JHEP 1011:099,2010 | 10.1007/JHEP11(2010)099 | UTTG-11-10, TCC-020-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a procedure for classifying N=2 superconformal theories of the
type introduced by Davide Gaiotto. Any curve, C, on which the 6D A_{N-1} SCFT
is compactified, can be decomposed into 3-punctured spheres, connected by
cylinders. We classify the spheres, and the cylinders that connect them. The
classification is carried out explicitly, up through N=5, and for several
families of SCFTs for arbitrary N. These lead to a wealth of new S-dualities
between Lagrangian and non-Lagrangian N=2 SCFTs.
| [
{
"created": "Tue, 31 Aug 2010 02:30:15 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Sep 2010 15:59:55 GMT",
"version": "v2"
}
] | 2010-11-26 | [
[
"Chacaltana",
"Oscar",
""
],
[
"Distler",
"Jacques",
""
]
] | We describe a procedure for classifying N=2 superconformal theories of the type introduced by Davide Gaiotto. Any curve, C, on which the 6D A_{N-1} SCFT is compactified, can be decomposed into 3-punctured spheres, connected by cylinders. We classify the spheres, and the cylinders that connect them. The classification is carried out explicitly, up through N=5, and for several families of SCFTs for arbitrary N. These lead to a wealth of new S-dualities between Lagrangian and non-Lagrangian N=2 SCFTs. |
0801.2686 | Andrei Smilga | A.V. Smilga | Crypto-Hermiticity of nonanticommutative theories | 9 pages, 1 figure. Invited contribution to the Proceedings of the
International Workshop on Supersymmetry and Quantum Symmetries, Dubna, July
30 - August 4, 2007. SQS07 | null | null | null | hep-th | null | We note that, though nonanticommutative deformations of Minkowski
supersymmetric theories do not respect the reality condition and seem to lead
to non-Hermitian Hamiltonians H, the latter belong to the class of
crypto-Hermitian (or quasi-Hermitian) Hamiltonians having attracted recently a
considerable attention.
They can be made manifestly Hermitian via the similarity transformation H ->
e^R H e^{-R} with a properly chosen R. The deformed model enjoys the same
supersymmetry algebra as the undeformed one though it is difficult in some
cases to write explicit expressions for a half of supercharges. The deformed
SQM models make perfect sense. It is not clear whether it is also the case for
NAC Minkowski field theories -- the conventionally defined S--matrix is not
unitary there.
| [
{
"created": "Thu, 17 Jan 2008 14:45:38 GMT",
"version": "v1"
}
] | 2008-01-18 | [
[
"Smilga",
"A. V.",
""
]
] | We note that, though nonanticommutative deformations of Minkowski supersymmetric theories do not respect the reality condition and seem to lead to non-Hermitian Hamiltonians H, the latter belong to the class of crypto-Hermitian (or quasi-Hermitian) Hamiltonians having attracted recently a considerable attention. They can be made manifestly Hermitian via the similarity transformation H -> e^R H e^{-R} with a properly chosen R. The deformed model enjoys the same supersymmetry algebra as the undeformed one though it is difficult in some cases to write explicit expressions for a half of supercharges. The deformed SQM models make perfect sense. It is not clear whether it is also the case for NAC Minkowski field theories -- the conventionally defined S--matrix is not unitary there. |
0804.0383 | David Berenstein | David Berenstein | A strong coupling expansion for N=4 SYM theory and other SCFT's | 10 pages, Contribution to the proceedings of the Osaka Workshop,
OCU2007 | Int.J.Mod.Phys.A23:2143-2152,2008 | 10.1142/S0217751X08040688 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent progress towards understanding a strong coupling expansion for various
superconformal field theories in four dimensions is described. First, the case
of the maximally supersymmetric Yang Mills theory is analyzed, as well as many
calculations that can be done directly at strong coupling and matched to the
AdS dual geometry. Also, this understanding is extended to other AdS duals
where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis
is made on matching exactly part of the supergravity dual spectrum of various
of these field theories by using wave function methods.
| [
{
"created": "Wed, 2 Apr 2008 15:52:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Berenstein",
"David",
""
]
] | Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many calculations that can be done directly at strong coupling and matched to the AdS dual geometry. Also, this understanding is extended to other AdS duals where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis is made on matching exactly part of the supergravity dual spectrum of various of these field theories by using wave function methods. |
hep-th/9311003 | Rodrigo Martinez | J.R.Reyes Mart\'inez | Theory of Superselection Sectors for Generalized Ising models | Latex | Lett.Math.Phys. 31 (1994) 117-126 | null | null | hep-th | null | We apply the theory of superselection sectors in the same way as done by
G.Mack and V.Schomerus for the Ising model to generalizations of this model
described by J.Fr\"{o}hlich and T.Kerler.
| [
{
"created": "Mon, 1 Nov 1993 14:36:31 GMT",
"version": "v1"
}
] | 2016-08-14 | [
[
"Martínez",
"J. R. Reyes",
""
]
] | We apply the theory of superselection sectors in the same way as done by G.Mack and V.Schomerus for the Ising model to generalizations of this model described by J.Fr\"{o}hlich and T.Kerler. |
hep-th/9901013 | Zahid Zakir | Zahid Zakir (CTPA) | The Theory of Stochastic Space-Time. II. Quantum Theory of Relativity | Published in "Zakir Z. (2003) Structure of Space-Time and Matter.
CTPA, Tashkent"; Part 1: hep-th/9812254 | Theor. Phys. Astrophys. and Cosmol. 4 (2009) 10 | 10.9751/TPAC.3200-014 | null | hep-th gr-qc quant-ph | null | The Nelson stochastic mechanics is derived as a consequence of the basic
physical principles such as the principle of relativity of observations and the
invariance of the action quantum. The unitary group of quantum mechanics is
represented as the transformations of the systems of perturbing devices. It is
argued that the physical spacetime has a stochastic nature, and that quantum
mechanics in Nelson's formulation correctly describes this stochasticity.
| [
{
"created": "Mon, 4 Jan 1999 21:34:47 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2003 09:20:00 GMT",
"version": "v2"
}
] | 2012-10-09 | [
[
"Zakir",
"Zahid",
"",
"CTPA"
]
] | The Nelson stochastic mechanics is derived as a consequence of the basic physical principles such as the principle of relativity of observations and the invariance of the action quantum. The unitary group of quantum mechanics is represented as the transformations of the systems of perturbing devices. It is argued that the physical spacetime has a stochastic nature, and that quantum mechanics in Nelson's formulation correctly describes this stochasticity. |
hep-th/9607081 | Thordur Jonsson | Bergfinnur Durhuus (Copenhagen) and Thordur Jonsson (Oxford and
Reykjavik) | Branched polymers on branched polymers | uuencoded 9 p. ps-file + 2 ps-figures | Mod.Phys.Lett. A11 (1996) 2361-2368 | 10.1142/S0217732396002356 | OUTP-96-41P | hep-th | null | We study an ensemble of branched polymers which are embedded on other
branched polymers. This is a toy model which allows us to study explicitly the
reaction of a statistical system on an underlying geometrical structure, a
problem of interest in the study of the interaction of matter and quantized
gravity. We find a phase transition at which the embedded polymers begin to
cover the basis polymers. At the phase transition point the susceptibility
exponent $\gamma$ takes the value 3/4 and the two-point function develops an
anomalous dimension 1/2.
| [
{
"created": "Wed, 10 Jul 1996 14:46:15 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Durhuus",
"Bergfinnur",
"",
"Copenhagen"
],
[
"Jonsson",
"Thordur",
"",
"Oxford and\n Reykjavik"
]
] | We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of interest in the study of the interaction of matter and quantized gravity. We find a phase transition at which the embedded polymers begin to cover the basis polymers. At the phase transition point the susceptibility exponent $\gamma$ takes the value 3/4 and the two-point function develops an anomalous dimension 1/2. |
0812.4219 | Boris Pioline | Sergei Alexandrov, Boris Pioline, Frank Saueressig, Stefan Vandoren | D-instantons and twistors | 47 pages, 1 figure, uses JHEP3.cls | JHEP 0903:044,2009 | 10.1088/1126-6708/2009/03/044 | LPTA/08-073, ITP-UU-08-75, SPIN-08-58, IPhT-T08/203 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Finding the exact, quantum corrected metric on the hypermultiplet moduli
space in Type II string compactifications on Calabi-Yau threefolds is an
outstanding open problem. We address this issue by relating the
quaternionic-Kahler metric on the hypermultiplet moduli space to the complex
contact geometry on its twistor space. In this framework, Euclidean D-brane
instantons are captured by contact transformations between different patches.
We derive those by recasting the previously known A-type D2-instanton
corrections in the language of contact geometry, covariantizing the result
under electro-magnetic duality, and using mirror symmetry. As a result, we are
able to express the effects of all D-instantons in Type II compactifications
concisely as a sum of dilogarithm functions. We conclude with some comments on
the relation to microscopic degeneracies of four-dimensional BPS black holes
and to the wall-crossing formula of Kontsevich and Soibelman, and on the form
of the yet unknown NS5-brane instanton contributions.
| [
{
"created": "Mon, 22 Dec 2008 17:27:06 GMT",
"version": "v1"
}
] | 2009-03-12 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Pioline",
"Boris",
""
],
[
"Saueressig",
"Frank",
""
],
[
"Vandoren",
"Stefan",
""
]
] | Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is an outstanding open problem. We address this issue by relating the quaternionic-Kahler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instantons are captured by contact transformations between different patches. We derive those by recasting the previously known A-type D2-instanton corrections in the language of contact geometry, covariantizing the result under electro-magnetic duality, and using mirror symmetry. As a result, we are able to express the effects of all D-instantons in Type II compactifications concisely as a sum of dilogarithm functions. We conclude with some comments on the relation to microscopic degeneracies of four-dimensional BPS black holes and to the wall-crossing formula of Kontsevich and Soibelman, and on the form of the yet unknown NS5-brane instanton contributions. |
hep-th/0210129 | Giuseppe Vitiello | Eleonora Alfinito (INFM, Sezione di Lecce, Italy), Giuseppe Vitiello
(Dipartimento di Fisica "E.R.Caianiello", Universit\`a di Salerno, Italy) | Time-reversal violation as loop-antiloop symmetry breaking: the Bessel
equation, group contraction and dissipation | 15 pages, Latex | null | null | null | hep-th | null | We show that the Bessel equation can be cast, by means of suitable
transformations, into a system of two damped/amplified parametric oscillator
equations. The relation with the group contraction mechanism is analyzed and
the breakdown of loop-antiloop symmetry due to group contraction manifests
itself as violation of time-reversal symmetry. A preliminary discussion of the
relation between some infinite dimensional loop-algebras, such as the
Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also
presented.
| [
{
"created": "Mon, 14 Oct 2002 16:05:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alfinito",
"Eleonora",
"",
"INFM, Sezione di Lecce, Italy"
],
[
"Vitiello",
"Giuseppe",
"",
"Dipartimento di Fisica \"E.R.Caianiello\", Università di Salerno, Italy"
]
] | We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of loop-antiloop symmetry due to group contraction manifests itself as violation of time-reversal symmetry. A preliminary discussion of the relation between some infinite dimensional loop-algebras, such as the Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also presented. |
2308.04354 | Martin Kr\v{s}\v{s}\'ak | Martin Kr\v{s}\v{s}\'ak | Bulk Action Growth for Holographic Complexity | 6 pages, 1 Figure; journal version | Phys.Rev.D 109 (2024) 8, 086002 | 10.1103/PhysRevD.109.086002 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The action growth proposal relates the holographic complexity to the value of
the action on the Wheeler-de Witt patch. We introduce a new method of
calculating the gravitational action using the "bulk" term, i.e. the part of
the Einstein-Hilbert action quadratic in connection coefficients. We
demonstrate how to address the issue of non-covariance of the bulk action and
evaluate it using the tetrad formalism. Due to the boundary term-free nature of
the bulk action, we can gain further insights into the spatial structure of the
action on the Wheeler-de Witt patch. We then argue that our entire scheme can
be naturally covariantized within the framework of teleparallel geometry.
| [
{
"created": "Tue, 8 Aug 2023 16:00:16 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2023 18:01:35 GMT",
"version": "v2"
},
{
"created": "Tue, 21 May 2024 11:38:11 GMT",
"version": "v3"
}
] | 2024-05-22 | [
[
"Krššák",
"Martin",
""
]
] | The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the Einstein-Hilbert action quadratic in connection coefficients. We demonstrate how to address the issue of non-covariance of the bulk action and evaluate it using the tetrad formalism. Due to the boundary term-free nature of the bulk action, we can gain further insights into the spatial structure of the action on the Wheeler-de Witt patch. We then argue that our entire scheme can be naturally covariantized within the framework of teleparallel geometry. |
0707.1483 | Aldo Lorenzo Cotrone | A.L. Cotrone | On the YM and QCD spectra from five dimensional strings | 21 pages; V2: added corrections and references to match the published
version | Int.J.Mod.Phys.A24:4117-4132,2009 | 10.1142/S0217751X09045467 | ECM-PF-07/21 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a non-critical five dimensional string setup which could provide
a dual description of QCD in the limit of large number of colors and flavors.
The model corresponds to N_c color D3-branes and N_f D4/anti D4-brane pairs
supporting flavor degrees of freedom. The matching of the string model spectrum
with the dual field theory one is considered. We discuss the consequences of
the possible matching of the gravity modes with the light glueballs and the
interpretation of the brane spectrum in Yang-Mills and QCD.
| [
{
"created": "Tue, 10 Jul 2007 16:07:15 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2009 10:43:32 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Cotrone",
"A. L.",
""
]
] | We consider a non-critical five dimensional string setup which could provide a dual description of QCD in the limit of large number of colors and flavors. The model corresponds to N_c color D3-branes and N_f D4/anti D4-brane pairs supporting flavor degrees of freedom. The matching of the string model spectrum with the dual field theory one is considered. We discuss the consequences of the possible matching of the gravity modes with the light glueballs and the interpretation of the brane spectrum in Yang-Mills and QCD. |
hep-th/0606151 | Schwarz | Albert Schwarz, Vadim Vologodsky | Frobenius transformation, mirror map and instanton numbers | 13 pages,new section about Gopakumar-Vafa invariants added, some
additions in the last section, some corrections | Phys.Lett.B660:422-427,2008 | 10.1016/j.physletb.2008.01.006 | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that one can express Frobenius transformation on middle-dimensional
p-adic cohomology of Calabi-Yau threefold in terms of mirror map and instanton
numbers. We express the mirror map in terms of Frobenius transformation on
p-adic cohomology . We discuss a $p$-adic interpretation of the conjecture
about integrality of Gopakumar-Vafa invariants.
| [
{
"created": "Fri, 16 Jun 2006 06:54:42 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2007 20:58:24 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jan 2007 21:08:34 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Dec 2007 08:33:03 GMT",
"version": "v4"
},
{
"c... | 2008-11-26 | [
[
"Schwarz",
"Albert",
""
],
[
"Vologodsky",
"Vadim",
""
]
] | We show that one can express Frobenius transformation on middle-dimensional p-adic cohomology of Calabi-Yau threefold in terms of mirror map and instanton numbers. We express the mirror map in terms of Frobenius transformation on p-adic cohomology . We discuss a $p$-adic interpretation of the conjecture about integrality of Gopakumar-Vafa invariants. |
2208.00978 | Nicolas Kovensky | Sergio Iguri and Nicolas Kovensky | On spectrally flowed local vertex operators in AdS$_3$ | 25 pages | null | 10.21468/SciPostPhys.13.5.115 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a novel local definition for spectrally flowed vertex operators in
the SL(2,$\mathbb{R}$)-WZW model, generalising the proposal of Maldacena and
Ooguri in [arXiv:hep-th/0111180] for the singly-flowed case to all $\omega >
1$. This allows us to establish the precise connection between the computation
of correlators using the so-called spectral flow operator, and the methods
introduced recently by Dei and Eberhardt in [arXiv:2105.12130] based on local
Ward identities. We show that the auxiliary variable $y$ used in the latter
paper arises naturally from a point-splitting procedure in the space-time
coordinate. The recursion relations satisfied by spectrally flowed correlators,
which take the form of partial differential equations in $y$-space, then
correspond to null-state conditions for generalised spectral flowed operators.
We highlight the role of the SL(2,$\mathbb{R}$) series identifications in this
context, and prove the validity of the conjecture put forward in
[arXiv:2105.12130] for $y$-space structure constants of three-point functions
with arbitrary spectral flow charges.
| [
{
"created": "Mon, 1 Aug 2022 16:32:43 GMT",
"version": "v1"
}
] | 2022-12-16 | [
[
"Iguri",
"Sergio",
""
],
[
"Kovensky",
"Nicolas",
""
]
] | We provide a novel local definition for spectrally flowed vertex operators in the SL(2,$\mathbb{R}$)-WZW model, generalising the proposal of Maldacena and Ooguri in [arXiv:hep-th/0111180] for the singly-flowed case to all $\omega > 1$. This allows us to establish the precise connection between the computation of correlators using the so-called spectral flow operator, and the methods introduced recently by Dei and Eberhardt in [arXiv:2105.12130] based on local Ward identities. We show that the auxiliary variable $y$ used in the latter paper arises naturally from a point-splitting procedure in the space-time coordinate. The recursion relations satisfied by spectrally flowed correlators, which take the form of partial differential equations in $y$-space, then correspond to null-state conditions for generalised spectral flowed operators. We highlight the role of the SL(2,$\mathbb{R}$) series identifications in this context, and prove the validity of the conjecture put forward in [arXiv:2105.12130] for $y$-space structure constants of three-point functions with arbitrary spectral flow charges. |
2401.11584 | Viktoriia Koriukina | N.F. Shul'ga, V.D. Koriukina | On Fast Charged Particles Scattering on a Flat Relativistic Beam of
Charged Particles in Approximation of Continuous Potential | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The differential scattering cross section for the problem of fast charged
particles motion near a flat relativistic beam of charged particles was
obtained. The problem is considered in the eikonal approximation in the
representation of the beam by a continuous potential.
| [
{
"created": "Sun, 21 Jan 2024 20:10:10 GMT",
"version": "v1"
}
] | 2024-01-23 | [
[
"Shul'ga",
"N. F.",
""
],
[
"Koriukina",
"V. D.",
""
]
] | The differential scattering cross section for the problem of fast charged particles motion near a flat relativistic beam of charged particles was obtained. The problem is considered in the eikonal approximation in the representation of the beam by a continuous potential. |
2008.07555 | Alek Bedroya | Alek Bedroya, Miguel Montero, Cumrun Vafa and Irene Valenzuela | de Sitter Bubbles and the Swampland | 21 pages + appendices, 7 figures. v2: References added v3: References
corrected | null | 10.1002/prop.202000084 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A number of Swampland conjectures and in particular the Trans-Planckian
Censorship Conjecture (TCC) suggest that de Sitter space is highly unstable if
it exists at all. In this paper we construct effective theories of scalars
rolling on potentials which are dual to a chain of short-lived dS spaces
decaying from one to the next through a cascade of non-perturbative nucleation
of bubbles. We find constraints on the effective potential resulting from
various swampland criteria, including TCC, Weak Gravity Conjecture and Distance
Conjecture. Surprisingly we find that TCC essentially incorporates all the
other ones, and leads to a subclass of possible dual effective potentials.
These results marginally rule out emergence of eternal inflation in the dual
effective theory. We discuss some cosmological implications of our
observations.
| [
{
"created": "Mon, 17 Aug 2020 18:02:09 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2020 13:24:09 GMT",
"version": "v2"
},
{
"created": "Sun, 23 May 2021 12:02:49 GMT",
"version": "v3"
}
] | 2021-05-25 | [
[
"Bedroya",
"Alek",
""
],
[
"Montero",
"Miguel",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Valenzuela",
"Irene",
""
]
] | A number of Swampland conjectures and in particular the Trans-Planckian Censorship Conjecture (TCC) suggest that de Sitter space is highly unstable if it exists at all. In this paper we construct effective theories of scalars rolling on potentials which are dual to a chain of short-lived dS spaces decaying from one to the next through a cascade of non-perturbative nucleation of bubbles. We find constraints on the effective potential resulting from various swampland criteria, including TCC, Weak Gravity Conjecture and Distance Conjecture. Surprisingly we find that TCC essentially incorporates all the other ones, and leads to a subclass of possible dual effective potentials. These results marginally rule out emergence of eternal inflation in the dual effective theory. We discuss some cosmological implications of our observations. |
hep-th/0409222 | Cosmas Zachos | Yves Brihaye, Christopher Hill, Cosmas Zachos | Bounding Gauged Skyrmion Masses | RevTex4, 2 eps figures, 7 pages | Phys.Rev.D70:111502,2004 | 10.1103/PhysRevD.70.111502 | ANL-HEP-PR-04-89 | hep-th hep-ph nucl-th | null | Normally, standard (ungauged) skyrmion masses are proportional to the
coupling of the Skyrme term needed for stability, and so can grow to infinite
magnitude with increasing coupling. In striking contrast, when skyrmions are
gauged, their masses are bounded above for any Skyrme coupling, and, instead,
are of the order of monopole masses, O(v/g), so that the coupling of the Skyrme
term is not very important. This boundedness phenomenon and its implications
are investigated.
| [
{
"created": "Wed, 22 Sep 2004 16:06:19 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Brihaye",
"Yves",
""
],
[
"Hill",
"Christopher",
""
],
[
"Zachos",
"Cosmas",
""
]
] | Normally, standard (ungauged) skyrmion masses are proportional to the coupling of the Skyrme term needed for stability, and so can grow to infinite magnitude with increasing coupling. In striking contrast, when skyrmions are gauged, their masses are bounded above for any Skyrme coupling, and, instead, are of the order of monopole masses, O(v/g), so that the coupling of the Skyrme term is not very important. This boundedness phenomenon and its implications are investigated. |
2306.10401 | Evgeny Ivanov | Evgeny Ivanov | Higher Spins in Harmonic Superspace | 20 pages, Contribution to the Proceedings of the Academician A.A.
Slavnov Memorial Conference (Moscow, December 21 - 22, 202), to be published
in "Theor. Math. Phys.''; arXiv number in ref.[20] corrected | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on a recent progress in constructing off-shell ${\cal N}=2, 4D$
supersymmetric integer higher-spin theory in terms of unconstrained harmonic
analytic gauge superfields and their cubic interaction with the matter
hypermultiplets. For even superspins a new equivalent representation of the
hypermultiplet couplings in terms of analytic $\omega$ superfield is presented.
It involves both cubic and quartic vertices.
| [
{
"created": "Sat, 17 Jun 2023 17:59:37 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2023 16:34:41 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jun 2023 13:33:44 GMT",
"version": "v3"
}
] | 2023-06-30 | [
[
"Ivanov",
"Evgeny",
""
]
] | We report on a recent progress in constructing off-shell ${\cal N}=2, 4D$ supersymmetric integer higher-spin theory in terms of unconstrained harmonic analytic gauge superfields and their cubic interaction with the matter hypermultiplets. For even superspins a new equivalent representation of the hypermultiplet couplings in terms of analytic $\omega$ superfield is presented. It involves both cubic and quartic vertices. |
2212.02820 | Jialin Zhang | Yaqian Yu, Jialin Zhang and Hongwei Yu | The Lamb shift in the BTZ spacetime | 21 pages,2 figures | JHEP 03 (2023) 209 | 10.1007/JHEP03(2023)209 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Lamb shift of a two-level atom arising from its coupling to the
conformal massless scalar field, which satisfies the Dirichlet boundary
conditions, in the Hartle-Hawking vacuum in the BTZ spacetime, and find that
the Lamb shift in the BTZ spacetime is structurally similar to that of a
uniformly accelerated atom near a perfectly reflecting boundary in
(2+1)-dimensional flat spacetime. Our results show that the Lamb shift is
suppressed in the BTZ spacetime as compared to that in the flat spacetime as
long as the transition wavelength of the atom is much larger than $AdS$ radius
of the BTZ spacetime while it can be either suppressed or enhanced if the
transition wavelength of the atom is much less than $AdS$ radius. In contrast,
the Lamb shift is always suppressed very close to the horizon of the BTZ
spacetime and remarkably it reduces to that in the flat spacetime as the
horizon is approached although the local temperature blows up there.
| [
{
"created": "Tue, 6 Dec 2022 08:27:20 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2023 01:54:43 GMT",
"version": "v2"
}
] | 2023-03-30 | [
[
"Yu",
"Yaqian",
""
],
[
"Zhang",
"Jialin",
""
],
[
"Yu",
"Hongwei",
""
]
] | We study the Lamb shift of a two-level atom arising from its coupling to the conformal massless scalar field, which satisfies the Dirichlet boundary conditions, in the Hartle-Hawking vacuum in the BTZ spacetime, and find that the Lamb shift in the BTZ spacetime is structurally similar to that of a uniformly accelerated atom near a perfectly reflecting boundary in (2+1)-dimensional flat spacetime. Our results show that the Lamb shift is suppressed in the BTZ spacetime as compared to that in the flat spacetime as long as the transition wavelength of the atom is much larger than $AdS$ radius of the BTZ spacetime while it can be either suppressed or enhanced if the transition wavelength of the atom is much less than $AdS$ radius. In contrast, the Lamb shift is always suppressed very close to the horizon of the BTZ spacetime and remarkably it reduces to that in the flat spacetime as the horizon is approached although the local temperature blows up there. |
1906.08269 | Dimitrios Zoakos | George Georgiou, Konstantinos Sfetsos and Dimitrios Zoakos | String theory on the Schrodinger pp-wave background | 35 pages; v2: Minor changes, JHEP version | JHEP08(2019)093 | 10.1007/JHEP08(2019)093 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study string theory on the pp-wave geometry obtained by taking the Penrose
limit around a certain null geodesic of the non-supersymmetric Schrodinger
background. We solve for the spectrum of bosonic excitations and find
compelling agreement with the dispersion relation of the giant magnons in the
Schrodinger background obtained previously in arXiv:1712.03091. Inspired by the
pp-wave spectrum we conjecture an exact in the t'Hooft coupling dispersion
relation for the magnons in the original Schrodinger background. We show that
the pp-wave background admits exactly 16 Killing spinors. We use the explicit
form of the latter in order to derive the supersymmetry algebra of the
background which explicitly depends on the deformation parameter. Its bosonic
subalgebra is of the Newton-Hooke type.
| [
{
"created": "Wed, 19 Jun 2019 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Aug 2019 15:40:31 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Georgiou",
"George",
""
],
[
"Sfetsos",
"Konstantinos",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We study string theory on the pp-wave geometry obtained by taking the Penrose limit around a certain null geodesic of the non-supersymmetric Schrodinger background. We solve for the spectrum of bosonic excitations and find compelling agreement with the dispersion relation of the giant magnons in the Schrodinger background obtained previously in arXiv:1712.03091. Inspired by the pp-wave spectrum we conjecture an exact in the t'Hooft coupling dispersion relation for the magnons in the original Schrodinger background. We show that the pp-wave background admits exactly 16 Killing spinors. We use the explicit form of the latter in order to derive the supersymmetry algebra of the background which explicitly depends on the deformation parameter. Its bosonic subalgebra is of the Newton-Hooke type. |
0912.2725 | Vishnu Jejjala | Vishnu Jejjala, Djordje Minic, Y. Jack Ng, Chia-Hsiung Tze | String Theory and Turbulence | LaTeX; 15 pages, two figures; v.2: slight changes to text, footnotes
and references added | Mod.Phys.Lett.A25:2541-2553,2010 | 10.1142/S0217732310034109 | QMUL-PH-09-30, VPI-IPNAS-09-14 | hep-th nlin.CD physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a string theory of turbulence that explains the Kolmogorov scaling
in 3+1 dimensions and the Kraichnan and Kolmogorov scalings in 2+1 dimensions.
This string theory of turbulence should be understood in light of the AdS/CFT
dictionary. Our argument is crucially based on the use of Migdal's loop
variables and the self-consistent solutions of Migdal's loop equations for
turbulence. In particular, there is an area law for turbulence in 2+1
dimensions related to the Kraichnan scaling.
| [
{
"created": "Mon, 14 Dec 2009 21:23:05 GMT",
"version": "v1"
},
{
"created": "Mon, 17 May 2010 21:55:16 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Jejjala",
"Vishnu",
""
],
[
"Minic",
"Djordje",
""
],
[
"Ng",
"Y. Jack",
""
],
[
"Tze",
"Chia-Hsiung",
""
]
] | We propose a string theory of turbulence that explains the Kolmogorov scaling in 3+1 dimensions and the Kraichnan and Kolmogorov scalings in 2+1 dimensions. This string theory of turbulence should be understood in light of the AdS/CFT dictionary. Our argument is crucially based on the use of Migdal's loop variables and the self-consistent solutions of Migdal's loop equations for turbulence. In particular, there is an area law for turbulence in 2+1 dimensions related to the Kraichnan scaling. |
1012.3472 | Willem Westra | W. Westra | Localization of particles in quantum field theory | 23 pages | null | null | null | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We put forward an interpretation of scalar quantum field theory as
relativistic quantum mechanics by curing well known problems related to
locality. A probabilistic interpretation of quantum field theory similar to
quantum mechanics is difficult if particle localization is defined using the
Newton-Wigner position operator as it is non-local and non-covariant. An
alternative bilinear covariant position operator is discussed which
incorporates a time operator that can be exponentiated to a unitary operator.
Moreover, it satisfies an algebra that unifies special relativity and quantum
mechanics and has the same form for particles with spin. Higher power position
operators are derived which yield Heisenberg's uncertainty relations. Our ideas
are illustrated with a relativistic wave function whose probability density can
be perfectly localized.
| [
{
"created": "Wed, 15 Dec 2010 21:17:31 GMT",
"version": "v1"
}
] | 2010-12-20 | [
[
"Westra",
"W.",
""
]
] | We put forward an interpretation of scalar quantum field theory as relativistic quantum mechanics by curing well known problems related to locality. A probabilistic interpretation of quantum field theory similar to quantum mechanics is difficult if particle localization is defined using the Newton-Wigner position operator as it is non-local and non-covariant. An alternative bilinear covariant position operator is discussed which incorporates a time operator that can be exponentiated to a unitary operator. Moreover, it satisfies an algebra that unifies special relativity and quantum mechanics and has the same form for particles with spin. Higher power position operators are derived which yield Heisenberg's uncertainty relations. Our ideas are illustrated with a relativistic wave function whose probability density can be perfectly localized. |
hep-th/0603009 | Raghunad Acharya | Raghunath Acharya | Concerning Bjorken's Model of Spontaneous Breakdown of Lorentz
Invariance | null | null | null | null | hep-th | null | We revisit Bjorken's model of spontaneous breakdown of Lorentz invariance. We
show that the model possesses zero mass, spin zero (scalar) Nambu-Goldstone
boson, in addition to the zero mass, spin one (vector) photon.
| [
{
"created": "Wed, 1 Mar 2006 20:50:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Acharya",
"Raghunath",
""
]
] | We revisit Bjorken's model of spontaneous breakdown of Lorentz invariance. We show that the model possesses zero mass, spin zero (scalar) Nambu-Goldstone boson, in addition to the zero mass, spin one (vector) photon. |
0710.3495 | Giampiero Esposito Dr. | Giuseppe Bimonte, Enrico Calloni, Giampiero Esposito, Luigi Rosa | Novel features of the energy momentum tensor of a Casimir apparatus in a
weak gravitational field | 8 pages, based on a talk given by Luigi Rosa at the QFEXT07
Conference, Leipzig. Equation (13) and the formulae for rho and energy E
stored in the Casimir device have been amended, jointly with related
discussion | J.Phys.A41:164056,2008; Erratum-ibid.A41:289801,2008 | 10.1088/1751-8113/41/16/164056 | DSF 2007/34 | hep-th | null | The influence of the gravity acceleration on the regularized energy-momentum
tensor of the quantized electromagnetic field between two plane parallel
conducting plates is derived. A perturbative expansion, to first order in the
constant acceleration parameter, of the Green functions involved and of the
energy-momentum tensor is derived by means of the covariant geodesic point
splitting procedure. The energy-momentum tensor is covariantly conserved and
satisfies the expected relation between gauge-breaking and ghost parts.
| [
{
"created": "Thu, 18 Oct 2007 12:47:28 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2008 14:08:30 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 2008 14:28:42 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bimonte",
"Giuseppe",
""
],
[
"Calloni",
"Enrico",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Rosa",
"Luigi",
""
]
] | The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. A perturbative expansion, to first order in the constant acceleration parameter, of the Green functions involved and of the energy-momentum tensor is derived by means of the covariant geodesic point splitting procedure. The energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts. |
hep-th/0612090 | Esko Keski-Vakkuri | Vijay Balasubramanian, Niko Jokela, Esko Keski-Vakkuri, and Jaydeep
Majumder | A Thermodynamic Interpretation of Time for Rolling Tachyons | 24 pages | Phys.Rev.D75:063515,2007 | 10.1103/PhysRevD.75.063515 | HIP-2006-53/TH, UPR-1169-T | hep-th cond-mat.stat-mech gr-qc | null | We show that the open string worldsheet description of brane decay
(discussing a specific example of a rolling tachyon background) can be related
to a sequence of points of thermodynamic equilibrium of a grand canonical
ensemble of point charges on a circle, the Dyson gas. Subsequent instants of
time are related to neighboring values of the chemical potential or the average
particle number <N>. The free energy of the system decreases in the direction
of larger <N> or later times, thus defining a thermodynamic arrow of time. Time
evolution equations are mapped to differential equations relating thermal
expectation values of certain observables at different points of thermal
equilibrium. This suggests some lessons concerning emergence of time from an
underlying microscopic structure in which the concept of time is absent.
| [
{
"created": "Mon, 11 Dec 2006 13:04:14 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Jokela",
"Niko",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Majumder",
"Jaydeep",
""
]
] | We show that the open string worldsheet description of brane decay (discussing a specific example of a rolling tachyon background) can be related to a sequence of points of thermodynamic equilibrium of a grand canonical ensemble of point charges on a circle, the Dyson gas. Subsequent instants of time are related to neighboring values of the chemical potential or the average particle number <N>. The free energy of the system decreases in the direction of larger <N> or later times, thus defining a thermodynamic arrow of time. Time evolution equations are mapped to differential equations relating thermal expectation values of certain observables at different points of thermal equilibrium. This suggests some lessons concerning emergence of time from an underlying microscopic structure in which the concept of time is absent. |
hep-th/0609011 | Andreas Brandhuber | Andreas Brandhuber, Gabriele Travaglini | Quantum MHV Diagrams | 17 pages, 7 figures; based on two talks given at the 7th Workshop On
Continuous Advances In QCD, 11-14 May 2006, Minneapolis, Minnesota | null | 10.1142/9789812708267_0054 | QMUL-PH-06-10 | hep-th | null | Over the past two years, the use of on-shell techniques has deepened our
understanding of the S-matrix of gauge theories and led to the calculation of
many new scattering amplitudes. In these notes we review a particular on-shell
method developed recently, the quantum MHV diagrams, and discuss applications
to one-loop amplitudes. Furthermore, we briefly discuss the application of
D-dimensional generalised unitarity to the calculation of scattering amplitudes
in non-supersymmetric Yang-Mills.
| [
{
"created": "Fri, 1 Sep 2006 18:12:49 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | Over the past two years, the use of on-shell techniques has deepened our understanding of the S-matrix of gauge theories and led to the calculation of many new scattering amplitudes. In these notes we review a particular on-shell method developed recently, the quantum MHV diagrams, and discuss applications to one-loop amplitudes. Furthermore, we briefly discuss the application of D-dimensional generalised unitarity to the calculation of scattering amplitudes in non-supersymmetric Yang-Mills. |
hep-th/0310068 | Oscar J. C. Dias | Oscar J. C. Dias, Jose' P. S. Lemos | Pair creation of de Sitter black holes on a cosmic string background | 20 pages, 4 figures, RevTex4. Physical discussion of the results
highly improved. References added. Published version | Phys.Rev. D69 (2004) 084006 | 10.1103/PhysRevD.69.084006 | null | hep-th astro-ph gr-qc | null | We analyze the quantum process in which a cosmic string breaks in a de Sitter
(dS) background, and a pair of neutral or charged black holes is produced at
the ends of the string. The energy to materialize and accelerate the pair comes
from the positive cosmological constant and, in addition, from the string
tension. The compact saddle point solutions without conical singularities
(instantons) or with conical singularities (sub-maximal instantons) that
describe this process are constructed through the analytical continuation of
the dS C-metric. Then, we explicitly compute the pair creation rate of the
process. In particular, we find the nucleation rate of a cosmic string in a dS
background, and the probability that it breaks and a pair of black holes is
produced. Finally we verify that, as occurs with pair production processes in
other background fields, the pair creation rate of black holes is proportional
to exp(S), where the gravitational entropy of the black hole, S, is given by
one quarter of the area of the horizons present in the saddle point solution
that mediates the process.
| [
{
"created": "Tue, 7 Oct 2003 16:13:19 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jan 2004 11:49:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | We analyze the quantum process in which a cosmic string breaks in a de Sitter (dS) background, and a pair of neutral or charged black holes is produced at the ends of the string. The energy to materialize and accelerate the pair comes from the positive cosmological constant and, in addition, from the string tension. The compact saddle point solutions without conical singularities (instantons) or with conical singularities (sub-maximal instantons) that describe this process are constructed through the analytical continuation of the dS C-metric. Then, we explicitly compute the pair creation rate of the process. In particular, we find the nucleation rate of a cosmic string in a dS background, and the probability that it breaks and a pair of black holes is produced. Finally we verify that, as occurs with pair production processes in other background fields, the pair creation rate of black holes is proportional to exp(S), where the gravitational entropy of the black hole, S, is given by one quarter of the area of the horizons present in the saddle point solution that mediates the process. |
0709.2342 | Giuseppe D'Appollonio | Giuseppe D'Appollonio, Thomas Quella | The abelian cosets of the Heisenberg group | 26 pages; v2: minor typos corrected, also added section 3.3 and 4.3
with a few comments on a third class of geometries that have not been
discussed in v1 | JHEP 0711:045,2007 | 10.1088/1126-6708/2007/11/045 | ITFA-2007-42, KCL-MTH-07-13 | hep-th | null | In this paper we study the abelian cosets of the H(4) WZW model. They
coincide or are related to several interesting three-dimensional backgrounds
such as the Melvin model, the conical point-particle space-times and the null
orbifold. We perform a detailed CFT analysis of all the models and compute the
coset characters as well as some typical three-point couplings of coset
primaries.
| [
{
"created": "Fri, 14 Sep 2007 18:28:42 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Nov 2007 20:41:59 GMT",
"version": "v2"
}
] | 2009-06-10 | [
[
"D'Appollonio",
"Giuseppe",
""
],
[
"Quella",
"Thomas",
""
]
] | In this paper we study the abelian cosets of the H(4) WZW model. They coincide or are related to several interesting three-dimensional backgrounds such as the Melvin model, the conical point-particle space-times and the null orbifold. We perform a detailed CFT analysis of all the models and compute the coset characters as well as some typical three-point couplings of coset primaries. |
2006.06111 | Yasuyuki Hatsuda | Gleb Aminov, Alba Grassi, Yasuyuki Hatsuda | Black Hole Quasinormal Modes and Seiberg-Witten Theory | 22 pages | null | null | RUP-20-18 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new analytic results on black hole perturbation theory. Our
results are based on a novel relation to four-dimensional $\mathcal{N}=2$
supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld
quantization conditions on quasinormal mode frequencies in terms of the
Nekrasov partition function in a particular phase of the $\Omega$-background.
Our quantization conditions also enable us to find exact expressions of
eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our
conjecture by comparing against known numerical results for Kerr black holes as
well as for Schwarzschild black holes. Some extensions are also discussed.
| [
{
"created": "Wed, 10 Jun 2020 23:30:06 GMT",
"version": "v1"
}
] | 2020-06-12 | [
[
"Aminov",
"Gleb",
""
],
[
"Grassi",
"Alba",
""
],
[
"Hatsuda",
"Yasuyuki",
""
]
] | We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the Nekrasov partition function in a particular phase of the $\Omega$-background. Our quantization conditions also enable us to find exact expressions of eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our conjecture by comparing against known numerical results for Kerr black holes as well as for Schwarzschild black holes. Some extensions are also discussed. |
1302.6313 | Young-Jai Park | Chang-Ho Kim, Seung Kook Kim (Seonam U.) and Young-Jai Park (Sogang
U.) | SU(5/3) Superalgebra and Its Representations of Fundamental Particles | 13 pages | null | 10.1142/S0217732313500843 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the lowest dimensional typical and atypical representations of
SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5)
subalgebra with SU(3) extra structure, which will be used to accommodate three
generations of fundamental particles. By using Kac-Dynkin weight techniques, we
find that all known quarks and leptons can be really accommodated in one
atypical irreducible representation of SU(5/3).
| [
{
"created": "Tue, 26 Feb 2013 04:57:52 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Kim",
"Chang-Ho",
"",
"Seonam U."
],
[
"Kim",
"Seung Kook",
"",
"Seonam U."
],
[
"Park",
"Young-Jai",
"",
"Sogang\n U."
]
] | We study the lowest dimensional typical and atypical representations of SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5) subalgebra with SU(3) extra structure, which will be used to accommodate three generations of fundamental particles. By using Kac-Dynkin weight techniques, we find that all known quarks and leptons can be really accommodated in one atypical irreducible representation of SU(5/3). |
1011.3969 | Sergey Bondarenko | Sergey Bondarenko | Regge Field Theory in zero transverse dimensions: loops versus "net"
diagrams | 34 pages, 36 figures | Eur.Phys.J.C71:1587,2011 | 10.1140/epjc/s10052-011-1587-4 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Toy models of interacting Pomerons with triple and quaternary Pomeron
vertices in zero transverse dimension are investigated. Numerical solutions for
eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained,
providing the quantum solution for the scattering amplitude in both models. The
equations of motion for the Lagrangians of the theories are also considered and
the classical solutions of the equations are found. Full two-point Green
functions ("effective" Pomeron propagator) and amplitude of diffractive
dissociation process are calculated in the framework of RFT-0 approach. The
importance of the loops contribution in the amplitude at different values of
the model parameters is discussed as well as the difference between the models
with and without quaternary Pomeron vertex.
| [
{
"created": "Wed, 17 Nov 2010 14:24:50 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Nov 2010 09:24:25 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Bondarenko",
"Sergey",
""
]
] | Toy models of interacting Pomerons with triple and quaternary Pomeron vertices in zero transverse dimension are investigated. Numerical solutions for eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained, providing the quantum solution for the scattering amplitude in both models. The equations of motion for the Lagrangians of the theories are also considered and the classical solutions of the equations are found. Full two-point Green functions ("effective" Pomeron propagator) and amplitude of diffractive dissociation process are calculated in the framework of RFT-0 approach. The importance of the loops contribution in the amplitude at different values of the model parameters is discussed as well as the difference between the models with and without quaternary Pomeron vertex. |
1007.3847 | Seiju Ohashi | Roberto Emparan, Seiju Ohashi and Tetsuya Shiromizu | No-dipole-hair theorem for higher-dimensional static black holes | 5 pages; minor changes, typos corrected, reference added, accepted
for publication in PRD | Phys.Rev.D82:084032,2010 | 10.1103/PhysRevD.82.084032 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that static black holes in n-dimensional asymptotically flat
spacetime cannot support non-trivial electric p-form field strengths when
(n+1)/2<= p <= n-1. This implies in particular that static black holes cannot
possess dipole hair under these fields.
| [
{
"created": "Thu, 22 Jul 2010 10:16:15 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2010 12:48:23 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Emparan",
"Roberto",
""
],
[
"Ohashi",
"Seiju",
""
],
[
"Shiromizu",
"Tetsuya",
""
]
] | We prove that static black holes in n-dimensional asymptotically flat spacetime cannot support non-trivial electric p-form field strengths when (n+1)/2<= p <= n-1. This implies in particular that static black holes cannot possess dipole hair under these fields. |
1104.0016 | Iosif Bena | Iosif Bena, Stefano Giusto and Clement Ruef | A Black Ring with two Angular Momenta in Taub-NUT | 20 pages, LaTeX | JHEP 1106:140,2011 | 10.1007/JHEP06(2011)140 | DFPD11/TH-5, AEI-2011-018 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the recently-constructed explicit duality transformation that relates
a rotating anti-D6-D4-D2-D0 black hole solution to a rotating M5-M2-P black
string to construct a non-supersymmetric black ring in Taub-NUT that has two
angular momenta, as well as M2 charges and M5 dipole moments. This is the first
black ring solution that has both dipole charges and rotation along the S^2 of
the horizon, and hence can be thought of as the "Pomeransky-Senkov" version of
the M5-M2 black ring in Taub-NUT. Its physics should provide a testing ground
for the applicability of the blackfold approach to charged rotating black
branes, and should elucidate the phase space of charged dipole rings in various
backgrounds.
| [
{
"created": "Thu, 31 Mar 2011 20:04:41 GMT",
"version": "v1"
}
] | 2011-08-24 | [
[
"Bena",
"Iosif",
""
],
[
"Giusto",
"Stefano",
""
],
[
"Ruef",
"Clement",
""
]
] | We use the recently-constructed explicit duality transformation that relates a rotating anti-D6-D4-D2-D0 black hole solution to a rotating M5-M2-P black string to construct a non-supersymmetric black ring in Taub-NUT that has two angular momenta, as well as M2 charges and M5 dipole moments. This is the first black ring solution that has both dipole charges and rotation along the S^2 of the horizon, and hence can be thought of as the "Pomeransky-Senkov" version of the M5-M2 black ring in Taub-NUT. Its physics should provide a testing ground for the applicability of the blackfold approach to charged rotating black branes, and should elucidate the phase space of charged dipole rings in various backgrounds. |
hep-th/9912104 | Robbert Dijkgraaf | R. Dijkgraaf | Fields, Strings, Matrices and Symmetric Products | latex, 52 pages, one eps figure | null | null | null | hep-th | null | In these notes we review the role played by the quantum mechanics and sigma
models of symmetric product spaces in the light-cone quantization of quantum
field theories, string theory and matrix theory. Lectures given at the
Institute for Theoretical Physics, UC Santa Barbara, January 1998 and the
Spring School on String Theory and Mathematics, Harvard University, May 1998.
| [
{
"created": "Mon, 13 Dec 1999 16:14:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dijkgraaf",
"R.",
""
]
] | In these notes we review the role played by the quantum mechanics and sigma models of symmetric product spaces in the light-cone quantization of quantum field theories, string theory and matrix theory. Lectures given at the Institute for Theoretical Physics, UC Santa Barbara, January 1998 and the Spring School on String Theory and Mathematics, Harvard University, May 1998. |
hep-th/0612084 | John D. Swain | S. Gulzari, Y. N. Srivastava, J. Swain, A. Widom | Fractal Propagators in QED and QCD and Implications for the Problem of
Confinement | To appear in Brazilian Journal of Physics, special edition for the
proceedings of IRQCD, Rio de Janeiro, 5-9 June 2006 | Braz.J.Phys.37:286-292,2007 | 10.1590/S0103-97332007000200021 | null | hep-th | null | We show that QED radiative corrections change the propagator of a charged
Dirac particle so that it acquires a fractional anomalous exponent connected
with the fine structure constant. The result is a nonlocal object which
represents a particle with a roughened trajectory whose fractal dimension can
be calculated. This represents a significant shift from the traditional Wigner
notions of asymptotic states with sharp well-defined masses. Non-abelian
long-range fields are more difficult to handle, but we are able to calculate
the effects due to Newtonian gravitational corrections. We suggest a new
approach to confinement in QCD based on a particle trajectory acquiring a
fractal dimension which goes to zero in the infrared as a consequence of
self-interaction, representing a particle which, in the infrared limit, cannot
propagate.
| [
{
"created": "Sat, 9 Dec 2006 19:57:45 GMT",
"version": "v1"
}
] | 2011-08-04 | [
[
"Gulzari",
"S.",
""
],
[
"Srivastava",
"Y. N.",
""
],
[
"Swain",
"J.",
""
],
[
"Widom",
"A.",
""
]
] | We show that QED radiative corrections change the propagator of a charged Dirac particle so that it acquires a fractional anomalous exponent connected with the fine structure constant. The result is a nonlocal object which represents a particle with a roughened trajectory whose fractal dimension can be calculated. This represents a significant shift from the traditional Wigner notions of asymptotic states with sharp well-defined masses. Non-abelian long-range fields are more difficult to handle, but we are able to calculate the effects due to Newtonian gravitational corrections. We suggest a new approach to confinement in QCD based on a particle trajectory acquiring a fractal dimension which goes to zero in the infrared as a consequence of self-interaction, representing a particle which, in the infrared limit, cannot propagate. |
hep-th/0104088 | Stoil Donev | Stoil Donev | Screw Photon-Like (3+1)-Solitons in Extended Electrodynamics | LaTex2e, 13 pages, 1 figure (.eps) | null | 10.1140/epjb/e2002-00292-8 | null | hep-th | null | This paper aims to present explicit photon-like (3+1) spatially finite
soliton solutions of screw type to the vacuum field equations of Extended
Electrodynamics (EED) in relativistic formulation. We begin with emphasizing
the need for spatially finite soliton modelling of microobjects. Then we
briefly comment the properties of solitons and photons and recall some facts
from EED. Making use of the localizing functions from differential topology
(used in the partition of unity) we explicitly construct spatially finite screw
solutions. Further a new description of the spin momentum inside EED, based on
the notion for energy-momentum exchange between $F$ and $*F$, isintroduced and
used to compute the integral spin momentum of a screw soliton. The consistency
between the spatial and time periodicity naturally leads to a particular
relation between the longitudinal and transverse sizes of the screw solution,
namely, it is equal to $\pi$. The Planck's formula $E=h\nu$ in the form of
$ET=h$ arizes as a measure of the integral spin momentum.
| [
{
"created": "Tue, 10 Apr 2001 08:16:44 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Donev",
"Stoil",
""
]
] | This paper aims to present explicit photon-like (3+1) spatially finite soliton solutions of screw type to the vacuum field equations of Extended Electrodynamics (EED) in relativistic formulation. We begin with emphasizing the need for spatially finite soliton modelling of microobjects. Then we briefly comment the properties of solitons and photons and recall some facts from EED. Making use of the localizing functions from differential topology (used in the partition of unity) we explicitly construct spatially finite screw solutions. Further a new description of the spin momentum inside EED, based on the notion for energy-momentum exchange between $F$ and $*F$, isintroduced and used to compute the integral spin momentum of a screw soliton. The consistency between the spatial and time periodicity naturally leads to a particular relation between the longitudinal and transverse sizes of the screw solution, namely, it is equal to $\pi$. The Planck's formula $E=h\nu$ in the form of $ET=h$ arizes as a measure of the integral spin momentum. |
1102.4649 | Gaston Giribet | Ricardo Couso Santamaria, Jose D. Edelstein, Alan Garbarz, Gaston
Giribet | On the addition of torsion to chiral gravity | 25 pages | Phys.Rev.D83:124032,2011 | 10.1103/PhysRevD.83.124032 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Three-dimensional gravity in Anti-de Sitter space is considered, including
torsion. The derivation of the central charges of the algebra that generates
the asymptotic isometry group of the theory is reviewed, and a special point of
the theory, at which one of the central charges vanishes, is compared with the
chiral point of topologically massive gravity. This special point corresponds
to a singular point in Chern-Simons theory, where one of the two coupling
constants of the SL(2,R) actions vanishes. A prescription to approach this
point in the space of parameters is discussed, and the canonical structure of
the theory is analyzed.
| [
{
"created": "Wed, 23 Feb 2011 02:30:11 GMT",
"version": "v1"
}
] | 2011-08-02 | [
[
"Santamaria",
"Ricardo Couso",
""
],
[
"Edelstein",
"Jose D.",
""
],
[
"Garbarz",
"Alan",
""
],
[
"Giribet",
"Gaston",
""
]
] | Three-dimensional gravity in Anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the theory, at which one of the central charges vanishes, is compared with the chiral point of topologically massive gravity. This special point corresponds to a singular point in Chern-Simons theory, where one of the two coupling constants of the SL(2,R) actions vanishes. A prescription to approach this point in the space of parameters is discussed, and the canonical structure of the theory is analyzed. |
hep-th/9707235 | Edward Corrigan | E Corrigan (University of Durham, UK) | On duality and reflection factors for the sinh-Gordon model | 17 pages, harvmac(b) | Int.J.Mod.Phys. A13 (1998) 2709-2722 | 10.1142/S0217751X98001372 | DTP-97/33 | hep-th | null | The sinh-Gordon model with integrable boundary conditions is considered in
low order perturbation theory. It is pointed out that results obtained by
Ghoshal for the sine-Gordon breather reflection factors suggest an interesting
dual relationship between models with different boundary conditions. Ghoshal's
formula for the lightest breather is checked perturbatively to $O(\beta^2)$ in
the special set of cases in which the $\phi\to -\phi$ symmetry is maintained.
It is noted that the parametrisation of the boundary potential which is natural
for the semi-classical approximation also provides a good parametrisation at
the `free-fermion' point.
| [
{
"created": "Tue, 29 Jul 1997 13:11:50 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Corrigan",
"E",
"",
"University of Durham, UK"
]
] | The sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual relationship between models with different boundary conditions. Ghoshal's formula for the lightest breather is checked perturbatively to $O(\beta^2)$ in the special set of cases in which the $\phi\to -\phi$ symmetry is maintained. It is noted that the parametrisation of the boundary potential which is natural for the semi-classical approximation also provides a good parametrisation at the `free-fermion' point. |
1605.02667 | Sergio Gonz\'alez-Mart\'in | Enrique Alvarez, Sergio Gonzalez-Martin, Carmelo P. Martin | Unimodular Trees versus Einstein Trees | 20 pages, 5 figures | null | 10.1140/epjc/s10052-016-4384-2 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The maximally helicity violating (MHV) tree level scattering amplitudes
involving three, four or five gravitons are worked out in Unimodular Gravity.
They are found to coincide with the corresponding amplitudes in General
Relativity. This a remarkable result, insofar as both the propagators and the
vertices are quite different in both theories.
| [
{
"created": "Mon, 9 May 2016 17:34:47 GMT",
"version": "v1"
}
] | 2018-02-15 | [
[
"Alvarez",
"Enrique",
""
],
[
"Gonzalez-Martin",
"Sergio",
""
],
[
"Martin",
"Carmelo P.",
""
]
] | The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a remarkable result, insofar as both the propagators and the vertices are quite different in both theories. |
2210.05203 | Rong-Xin Miao | Rong-Xin Miao, Yu-Qian Zeng | Holographic Anomalous Chiral Current Near a Boundary | 12 pages, 0 figure, revision accepted for publication in PLB | null | 10.1016/j.physletb.2023.137700 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Due to the Weyl anomaly, an axial vector field produces novel anomalous
chiral currents in spacetime with boundaries. Remarkably, the chiral current is
not invariant under the gauge transformation of axial vector fields. As a
result, more potential terms appear, and the chiral current becomes larger than
the electric current near the boundary. This paper investigates the anomalous
chiral current in AdS/BCFT. We find that the minimal holographic model of the
axial vector field cannot produce the expected chiral current. To resolve this
problem, we propose adding a suitable boundary action. Furthermore, we notice a
similar situation for holographic condensation. Finally, we obtain the shape
dependence of holographic chiral current and verify that it agrees with the
field-theoretical result.
| [
{
"created": "Tue, 11 Oct 2022 07:18:54 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 04:58:12 GMT",
"version": "v2"
}
] | 2023-01-18 | [
[
"Miao",
"Rong-Xin",
""
],
[
"Zeng",
"Yu-Qian",
""
]
] | Due to the Weyl anomaly, an axial vector field produces novel anomalous chiral currents in spacetime with boundaries. Remarkably, the chiral current is not invariant under the gauge transformation of axial vector fields. As a result, more potential terms appear, and the chiral current becomes larger than the electric current near the boundary. This paper investigates the anomalous chiral current in AdS/BCFT. We find that the minimal holographic model of the axial vector field cannot produce the expected chiral current. To resolve this problem, we propose adding a suitable boundary action. Furthermore, we notice a similar situation for holographic condensation. Finally, we obtain the shape dependence of holographic chiral current and verify that it agrees with the field-theoretical result. |
2009.03907 | Eric R. Sharpe | R. Eager, E. Sharpe | Elliptic genera of pure gauge theories in two dimensions with semisimple
non-simply-connected gauge groups | 39 pages, LaTeX; v2: typos fixed; v3: minor revision | Commun. Math. Phys. 387 (2021) 267-297 | 10.1007/s00220-021-04189-6 | KIAS-P20047 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we describe a systematic method to compute elliptic genera of
(2,2) supersymmetric gauge theories in two dimensions with gauge group G/Gamma
(for G semisimple and simply-connected, Gamma a subgroup of the center of G)
with various discrete theta angles. We apply the technique to examples of pure
gauge theories with low-rank gauge groups. Our results are consistent with
expectations from decomposition of two-dimensional theories with finite global
one-form symmetries and with computations of supersymmetry breaking for some
discrete theta angles in pure gauge theories. Finally, we make predictions for
the elliptic genera of all the other remaining pure gauge theories by applying
decomposition and matching to known supersymmetry breaking patterns.
| [
{
"created": "Tue, 8 Sep 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2020 21:50:16 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Jul 2021 03:22:20 GMT",
"version": "v3"
}
] | 2021-09-16 | [
[
"Eager",
"R.",
""
],
[
"Sharpe",
"E.",
""
]
] | In this paper we describe a systematic method to compute elliptic genera of (2,2) supersymmetric gauge theories in two dimensions with gauge group G/Gamma (for G semisimple and simply-connected, Gamma a subgroup of the center of G) with various discrete theta angles. We apply the technique to examples of pure gauge theories with low-rank gauge groups. Our results are consistent with expectations from decomposition of two-dimensional theories with finite global one-form symmetries and with computations of supersymmetry breaking for some discrete theta angles in pure gauge theories. Finally, we make predictions for the elliptic genera of all the other remaining pure gauge theories by applying decomposition and matching to known supersymmetry breaking patterns. |
1205.1229 | R Loll | J. Ambjorn, S. Jordan, J. Jurkiewicz and R. Loll | Second- and First-Order Phase Transitions in CDT | 24 pages, 9 figures | null | 10.1103/PhysRevD.85.124044 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Causal Dynamical Triangulations (CDT) is a proposal for a theory of quantum
gravity, which implements a path-integral quantization of gravity as the
continuum limit of a sum over piecewise flat spacetime geometries. We use Monte
Carlo simulations to analyse the phase transition lines bordering the
physically interesting de Sitter phase of the four-dimensional CDT model. Using
a range of numerical criteria, we present strong evidence that the so-called
A-C transition is first order, while the B-C transition is second order. The
presence of a second-order transition may be related to an ultraviolet fixed
point of quantum gravity and thus provide the key to probing physics at and
possibly beyond the Planck scale.
| [
{
"created": "Sun, 6 May 2012 15:57:36 GMT",
"version": "v1"
}
] | 2012-06-25 | [
[
"Ambjorn",
"J.",
""
],
[
"Jordan",
"S.",
""
],
[
"Jurkiewicz",
"J.",
""
],
[
"Loll",
"R.",
""
]
] | Causal Dynamical Triangulations (CDT) is a proposal for a theory of quantum gravity, which implements a path-integral quantization of gravity as the continuum limit of a sum over piecewise flat spacetime geometries. We use Monte Carlo simulations to analyse the phase transition lines bordering the physically interesting de Sitter phase of the four-dimensional CDT model. Using a range of numerical criteria, we present strong evidence that the so-called A-C transition is first order, while the B-C transition is second order. The presence of a second-order transition may be related to an ultraviolet fixed point of quantum gravity and thus provide the key to probing physics at and possibly beyond the Planck scale. |
hep-th/9707244 | Matthew J. Strassler | Amihay Hanany, Matthew J. Strassler and Alberto Zaffaroni | Confinement and Strings in MQCD | 39 pages, 17 figures, uses harvmac | Nucl.Phys.B513:87-118,1998 | 10.1016/S0550-3213(97)00651-2 | IASSNS--HEP--97/91 | hep-th hep-lat hep-ph | null | We study aspects of confinement in the M theory fivebrane version of QCD
(MQCD). We show heavy quarks are confined in hadrons (which take the form of
membrane-fivebrane bound states) for N=1 and softly broken N=2 SU(Nc) MQCD. We
explore and clarify the transition from the exotic physics of the latter to the
standard physics of the former. In particular, the many strings and
quark-antiquark mesons found in N=2 field theory by Douglas and Shenker are
reproduced. It is seen that in the N=1 limit all but one such meson disappears
while all of the strings survive. The strings of softly broken N=2, N=1, and
even non-supersymmetric SU(Nc) MQCD have a common ratio for their tensions as a
function of the amount of flux they carry. We also comment on the almost BPS
properties of the Douglas-Shenker strings and discuss the brane picture for
monopole confinement on N=2 QCD Higgs branches.
| [
{
"created": "Wed, 30 Jul 1997 01:36:43 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Hanany",
"Amihay",
""
],
[
"Strassler",
"Matthew J.",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We study aspects of confinement in the M theory fivebrane version of QCD (MQCD). We show heavy quarks are confined in hadrons (which take the form of membrane-fivebrane bound states) for N=1 and softly broken N=2 SU(Nc) MQCD. We explore and clarify the transition from the exotic physics of the latter to the standard physics of the former. In particular, the many strings and quark-antiquark mesons found in N=2 field theory by Douglas and Shenker are reproduced. It is seen that in the N=1 limit all but one such meson disappears while all of the strings survive. The strings of softly broken N=2, N=1, and even non-supersymmetric SU(Nc) MQCD have a common ratio for their tensions as a function of the amount of flux they carry. We also comment on the almost BPS properties of the Douglas-Shenker strings and discuss the brane picture for monopole confinement on N=2 QCD Higgs branches. |
1010.1702 | Jarah Evslin | Jarah Evslin and Simone Giacomelli | A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law | 10 pages, no figures | JHEP 1104:022,2011 | 10.1007/JHEP04(2011)022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in
terms of a U(1) gauge theory with 8 off-shell degrees of freedom. We present a
solution to Faddeev and Niemi's formulation which does not solve the SU(2)
Yang-Mills Gauss constraints. This demonstrates that the proposed reformulation
is inequivalent to Yang-Mills, but instead describes Yang-Mills coupled to a
particular choice of external charge.
| [
{
"created": "Fri, 8 Oct 2010 14:24:44 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Evslin",
"Jarah",
""
],
[
"Giacomelli",
"Simone",
""
]
] | Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of a U(1) gauge theory with 8 off-shell degrees of freedom. We present a solution to Faddeev and Niemi's formulation which does not solve the SU(2) Yang-Mills Gauss constraints. This demonstrates that the proposed reformulation is inequivalent to Yang-Mills, but instead describes Yang-Mills coupled to a particular choice of external charge. |
hep-th/0206188 | Claus Kiefer | Andrei Barvinsky, Alexander Kamenshchik, Andreas Rathke, Claus Kiefer | Nonlocal braneworld action: an alternative to Kaluza-Klein description | 33 pages, title changed, the focus of discussion is shifted to
nonlocality properties of Weyl-squared terms in braneworld action and phase
transitions between local and nonlocal phases of the theory, to appear in
Phys. Rev. D | Phys.Rev. D67 (2003) 023513 | 10.1103/PhysRevD.67.023513 | null | hep-th gr-qc | null | We construct the nonlocal braneworld action in the two-brane Randall-Sundrum
model in a holographic setup alternative to Kaluza-Klein description: the
action is written as a functional of the two metric and radion fields on the
branes. This action effectively describes the dynamics of the gravitational
field both on the branes and in the bulk in terms of the brane geometries
directly accessible for observations. Its nonlocal form factors incorporate the
cumulative effect of the bulk Kaluza-Klein modes. We also consider the reduced
version of this action obtained by integrating out the fields on the
negative-tension brane invisible from the viewpoint of the Planckian brane
observer. This effective action features a nontrivial transition (AdS flow)
between the local and nonlocal phases of the theory associated with the limits
of small and large interbrane separation. Our results confirm a recently
proposed braneworld scenario with diverging (repulsive) branes and suggest
possible new implications of this phase transition in brane cosmology.
| [
{
"created": "Thu, 20 Jun 2002 10:23:07 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jun 2002 10:20:39 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Nov 2002 13:39:39 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Barvinsky",
"Andrei",
""
],
[
"Kamenshchik",
"Alexander",
""
],
[
"Rathke",
"Andreas",
""
],
[
"Kiefer",
"Claus",
""
]
] | We construct the nonlocal braneworld action in the two-brane Randall-Sundrum model in a holographic setup alternative to Kaluza-Klein description: the action is written as a functional of the two metric and radion fields on the branes. This action effectively describes the dynamics of the gravitational field both on the branes and in the bulk in terms of the brane geometries directly accessible for observations. Its nonlocal form factors incorporate the cumulative effect of the bulk Kaluza-Klein modes. We also consider the reduced version of this action obtained by integrating out the fields on the negative-tension brane invisible from the viewpoint of the Planckian brane observer. This effective action features a nontrivial transition (AdS flow) between the local and nonlocal phases of the theory associated with the limits of small and large interbrane separation. Our results confirm a recently proposed braneworld scenario with diverging (repulsive) branes and suggest possible new implications of this phase transition in brane cosmology. |
1402.2076 | Yuko Urakawa | Takahiro Tanaka and Yuko Urakawa | Strong restriction on inflationary vacua from the local gauge invariance
III: Infrared regularity of graviton loops | 34 pages; v2: minor revision, published in PTEP. arXiv admin note:
text overlap with arXiv:1306.4461 | null | 10.1093/ptep/ptu071 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been claimed that the super Hubble modes of the graviton generated
during inflation can make loop corrections diverge. Even if we introduce an
infrared (IR) cutoff at a comoving scale as an ad hoc but a practical way for
the regularization, we encounter the secular growth, which may lead to the
breakdown of perturbative expansion for a sufficiently long lasting inflation.
In this paper, we show that the IR pathology concerning the graviton can be
attributed to the presence of residual gauge degrees of freedom in the local
observable universe as in the case of the adiabatic curvature perturbation. We
will show that choosing the Euclidean vacuum as the initial state ensures the
invariance under the above-mentioned residual gauge transformations. We will
also show that as long as we consider a gauge invariant quantity in the local
universe, we encounter neither the IR divergence nor the secular growth. The
argument in this paper applies to general single field models of inflation up
to a sufficiently high order in perturbation.
| [
{
"created": "Mon, 10 Feb 2014 09:32:29 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2014 14:21:51 GMT",
"version": "v2"
}
] | 2014-07-02 | [
[
"Tanaka",
"Takahiro",
""
],
[
"Urakawa",
"Yuko",
""
]
] | It has been claimed that the super Hubble modes of the graviton generated during inflation can make loop corrections diverge. Even if we introduce an infrared (IR) cutoff at a comoving scale as an ad hoc but a practical way for the regularization, we encounter the secular growth, which may lead to the breakdown of perturbative expansion for a sufficiently long lasting inflation. In this paper, we show that the IR pathology concerning the graviton can be attributed to the presence of residual gauge degrees of freedom in the local observable universe as in the case of the adiabatic curvature perturbation. We will show that choosing the Euclidean vacuum as the initial state ensures the invariance under the above-mentioned residual gauge transformations. We will also show that as long as we consider a gauge invariant quantity in the local universe, we encounter neither the IR divergence nor the secular growth. The argument in this paper applies to general single field models of inflation up to a sufficiently high order in perturbation. |
1004.1962 | Bojan Nikoli\'c | Bojan Nikolic and Branislav Sazdovic | $D5$-brane type I superstring background fields in terms of type IIB
ones by canonical method and T-duality approach | null | Nucl.Phys.B836:100-126,2010 | 10.1016/j.nuclphysb.2010.04.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider type IIB superstring theory with embedded $D5$-brane and choose
boundary conditions which preserve half of the initial supersymmetry. In the
canonical approach that we use, boundary conditions are treated as canonical
constraints. The effective theory, obtained from the initial one on the
solution of boundary conditions, has the form of the type I superstring theory
with embedded $D5$-brane. We obtain the expressions for $D5$-brane background
fields of type I theory in terms of the $D5$-brane background fields of type
IIB theory. We show that beside known $\Omega$ even fields, they contain
squares of $\Omega$ odd ones, where $\Omega$ is world-sheet parity
transformation, $\Omega:\sigma\to -\sigma$. We relate result of this paper and
the results of [1] using T-dualities along four directions orthogonal to
$D5$-brane.
| [
{
"created": "Mon, 12 Apr 2010 14:04:50 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Nikolic",
"Bojan",
""
],
[
"Sazdovic",
"Branislav",
""
]
] | We consider type IIB superstring theory with embedded $D5$-brane and choose boundary conditions which preserve half of the initial supersymmetry. In the canonical approach that we use, boundary conditions are treated as canonical constraints. The effective theory, obtained from the initial one on the solution of boundary conditions, has the form of the type I superstring theory with embedded $D5$-brane. We obtain the expressions for $D5$-brane background fields of type I theory in terms of the $D5$-brane background fields of type IIB theory. We show that beside known $\Omega$ even fields, they contain squares of $\Omega$ odd ones, where $\Omega$ is world-sheet parity transformation, $\Omega:\sigma\to -\sigma$. We relate result of this paper and the results of [1] using T-dualities along four directions orthogonal to $D5$-brane. |
hep-th/9806216 | Gleb E. Arutyunov | G.E.Arutyunov and S.A.Frolov | On the origin of supergravity boundary terms in the AdS/CFT
correspondence | latex, 12 pages, the last section is refined | Nucl.Phys. B544 (1999) 576-589 | 10.1016/S0550-3213(98)00816-5 | null | hep-th | null | The standard formulation of the AdS/CFT correspondence is incomplete since it
requires adding to a supergravity action some a priori unknown boundary terms.
We suggest a modification of the correspondence principle based on the
Hamiltonian formulation of the supergravity action, which does not require any
boundary terms. Then all the boundary terms of the standard formulation
naturally appear by passing from the Hamiltonian version to the Lagrangian one.
As examples the graviton part of the supergravity action on the product of
$AdS_{d+1}$ with a compact Einstein manifold $\cal E$ and fermions on
$AdS_{d+1}$ are considered. We also discuss conformal transformations of
gravity fields on the boundary of $AdS$ and show that they are induced by the
isometries of $AdS$.
| [
{
"created": "Fri, 26 Jun 1998 09:13:43 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jul 1998 08:37:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Arutyunov",
"G. E.",
""
],
[
"Frolov",
"S. A.",
""
]
] | The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based on the Hamiltonian formulation of the supergravity action, which does not require any boundary terms. Then all the boundary terms of the standard formulation naturally appear by passing from the Hamiltonian version to the Lagrangian one. As examples the graviton part of the supergravity action on the product of $AdS_{d+1}$ with a compact Einstein manifold $\cal E$ and fermions on $AdS_{d+1}$ are considered. We also discuss conformal transformations of gravity fields on the boundary of $AdS$ and show that they are induced by the isometries of $AdS$. |
1204.5970 | Dmitriy Pak | Y.M. Cho, D.G. Pak, P.M. Zhang and L.P. Zou | Weyl symmetric structure of QCD vacuum | 13 pages | Phys.Rev. D86 (2012) 045025 | 10.1103/PhysRevD.86.045025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Weyl symmetric structure of the classical vacuum in quantum
chromodynamics. In the framework of formalism of gauge invariant Abelian
projection we show that classical vacuums can be constructed in terms of
Killing vector fields on the group SU(3). Consequently, homotopic classes of
Killing vector fields determine the topological structure of the vacuum. In
particular, the second homotopy group \pi_2(SU(3)/U(1)\times U(1)) describes
all topologically non-equivalent vacuums which are classified by two
topological numbers. For each given Killing vector field one can construct six
vacuums forming Weyl sextet representation. An interesting feature of SU(3)
gauge theory is that it admits a Weyl symmetric vacuum represented by a linear
superposition of the six vacuums from the Weyl vacuum sextet. A non-trivial
manifestation of Weyl symmetry is demonstrated on monopole solutions. We
construct a family of finite energy monopole solutions in Yang-Mills-Higgs
theory which includes Weyl monopole sextet. From the analysis of the classical
vacuum structure and monopole solutions we conjecture that a similar Weyl
symmetric vacuum structure can be realized in quantum theory.
| [
{
"created": "Thu, 26 Apr 2012 16:12:39 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2012 22:59:12 GMT",
"version": "v2"
}
] | 2012-09-14 | [
[
"Cho",
"Y. M.",
""
],
[
"Pak",
"D. G.",
""
],
[
"Zhang",
"P. M.",
""
],
[
"Zou",
"L. P.",
""
]
] | We consider Weyl symmetric structure of the classical vacuum in quantum chromodynamics. In the framework of formalism of gauge invariant Abelian projection we show that classical vacuums can be constructed in terms of Killing vector fields on the group SU(3). Consequently, homotopic classes of Killing vector fields determine the topological structure of the vacuum. In particular, the second homotopy group \pi_2(SU(3)/U(1)\times U(1)) describes all topologically non-equivalent vacuums which are classified by two topological numbers. For each given Killing vector field one can construct six vacuums forming Weyl sextet representation. An interesting feature of SU(3) gauge theory is that it admits a Weyl symmetric vacuum represented by a linear superposition of the six vacuums from the Weyl vacuum sextet. A non-trivial manifestation of Weyl symmetry is demonstrated on monopole solutions. We construct a family of finite energy monopole solutions in Yang-Mills-Higgs theory which includes Weyl monopole sextet. From the analysis of the classical vacuum structure and monopole solutions we conjecture that a similar Weyl symmetric vacuum structure can be realized in quantum theory. |
hep-th/9607228 | George K. Savvidy | G. Koutsoumbas (National Technical U., Athens), G.K. Savvidy (NBI),
K.G. Savvidy (Princeton U.) | Curvature representation of the gonihedric action | 10 pages, LaTeX, 3 embedded figures with psfig, submitted to
Phys.Lett. B | Europhys.Lett. 36 (1996) 331-336 | 10.1209/epl/i1996-00231-y | NBI-HE-96-42 | hep-th | null | We analyse the curvature representation of the gonihedric action $A(M)$ for
the cases when the dependence on the dihedral angle is arbitrary.
| [
{
"created": "Tue, 30 Jul 1996 12:29:22 GMT",
"version": "v1"
}
] | 2019-08-15 | [
[
"Koutsoumbas",
"G.",
"",
"National Technical U., Athens"
],
[
"Savvidy",
"G. K.",
"",
"NBI"
],
[
"Savvidy",
"K. G.",
"",
"Princeton U."
]
] | We analyse the curvature representation of the gonihedric action $A(M)$ for the cases when the dependence on the dihedral angle is arbitrary. |
2106.08340 | Andrea Palermo | Andrea Palermo, Matteo Buzzegoli and Francesco Becattini | Exact equilibrium distributions in statistical quantum field theory with
rotation and acceleration: Dirac field | 47 pages, accepted for publication | null | 10.1007/JHEP10(2021)077 | null | hep-th cond-mat.stat-mech gr-qc math-ph math.MP nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the general exact forms of the Wigner function, of mean values of
conserved currents, of the spin density matrix, of the spin polarization vector
and of the distribution function of massless particles for the free Dirac field
at global thermodynamic equilibrium with rotation and acceleration, extending
our previous results obtained for the scalar field. The solutions are obtained
by means of an iterative method and analytic continuation, which leads to
formal series in thermal vorticity. In order to obtain finite values, we extend
to the fermionic case the method of analytic distillation introduced for
bosonic series. The obtained mean values of the stress-energy tensor, vector
and axial currents for the massless Dirac field are in agreement with known
analytic results in the special cases of pure acceleration and pure rotation.
By using this approach, we obtain new expressions of the currents for the more
general case of combined rotation and acceleration and, in the pure
acceleration case, we demonstrate that they must vanish at the Unruh
temperature.
| [
{
"created": "Tue, 15 Jun 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 2021 09:37:26 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Palermo",
"Andrea",
""
],
[
"Buzzegoli",
"Matteo",
""
],
[
"Becattini",
"Francesco",
""
]
] | We derive the general exact forms of the Wigner function, of mean values of conserved currents, of the spin density matrix, of the spin polarization vector and of the distribution function of massless particles for the free Dirac field at global thermodynamic equilibrium with rotation and acceleration, extending our previous results obtained for the scalar field. The solutions are obtained by means of an iterative method and analytic continuation, which leads to formal series in thermal vorticity. In order to obtain finite values, we extend to the fermionic case the method of analytic distillation introduced for bosonic series. The obtained mean values of the stress-energy tensor, vector and axial currents for the massless Dirac field are in agreement with known analytic results in the special cases of pure acceleration and pure rotation. By using this approach, we obtain new expressions of the currents for the more general case of combined rotation and acceleration and, in the pure acceleration case, we demonstrate that they must vanish at the Unruh temperature. |
2404.02449 | Haifeng Tang | Haifeng Tang | Entanglement entropy in type II$_1$ von Neumann algebra: examples in
Double-Scaled SYK | null | null | null | null | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An intriguing feature of type II$_1$ von Neumann algebra is that the entropy
of the mixed states is negative. Although the type classification of von
Neumann algebra and its consequence in holography have been extensively
explored recently, there has not been an explicit calculation of entropy in
some physically interesting models with type II$_1$ algebra. In this paper, we
study the entanglement entropy $S_n$ of the fixed length state $\{|n\rangle\}$
in Double-Scaled Sachdev-Ye-Kitaev model, which has been recently shown to
exhibit type II$_1$ von Neumann algebra. These states furnish an orthogonal
basis for 0-particle chord Hilbert space. We systematically study $S_n$ and its
R\'enyi generalizations $S_n^{(m)}$ in various limit of DSSYK model, ranging
$q\in[0,1]$. We obtain exotic analytical expressions for the scaling behavior
of $S_n^{(m)}$ at large $n$ for random matrix theory limit ($q=0$) and SYK$_2$
limit ($q=1$), for the former we observe highly non-flat entanglement spectrum.
We then dive into triple scaling limits where the fixed chord number states
become the geodesic wormholes with definite length connecting left/right
AdS$_2$ boundary in Jackiw-Teitelboim gravity. In semi-classical regime, we
match the boundary calculation of entanglement entropy with the dilaton value
at the center of geodesic, as a nontrivial check of the Ryu-Takayanagi formula.
| [
{
"created": "Wed, 3 Apr 2024 04:27:07 GMT",
"version": "v1"
}
] | 2024-04-04 | [
[
"Tang",
"Haifeng",
""
]
] | An intriguing feature of type II$_1$ von Neumann algebra is that the entropy of the mixed states is negative. Although the type classification of von Neumann algebra and its consequence in holography have been extensively explored recently, there has not been an explicit calculation of entropy in some physically interesting models with type II$_1$ algebra. In this paper, we study the entanglement entropy $S_n$ of the fixed length state $\{|n\rangle\}$ in Double-Scaled Sachdev-Ye-Kitaev model, which has been recently shown to exhibit type II$_1$ von Neumann algebra. These states furnish an orthogonal basis for 0-particle chord Hilbert space. We systematically study $S_n$ and its R\'enyi generalizations $S_n^{(m)}$ in various limit of DSSYK model, ranging $q\in[0,1]$. We obtain exotic analytical expressions for the scaling behavior of $S_n^{(m)}$ at large $n$ for random matrix theory limit ($q=0$) and SYK$_2$ limit ($q=1$), for the former we observe highly non-flat entanglement spectrum. We then dive into triple scaling limits where the fixed chord number states become the geodesic wormholes with definite length connecting left/right AdS$_2$ boundary in Jackiw-Teitelboim gravity. In semi-classical regime, we match the boundary calculation of entanglement entropy with the dilaton value at the center of geodesic, as a nontrivial check of the Ryu-Takayanagi formula. |
1004.0528 | Erik Jan de Vries | Erik Jan de Vries and Bernd J. Schroers | Supercharges, Quantum States and Angular Momentum for N=4 Supersymmetric
Monopoles | Updated references, included a derivation of the angular momentum
operator, 32 pages | Nucl.Phys.B839:157-186,2010 | 10.1016/j.nuclphysb.2010.06.013 | EMPG-10-08 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the moduli space approximation to the quantum mechanics of
monopoles in N=4 supersymmetric Yang-Mills-Higgs theory with maximal symmetry
breaking. Starting with the observation that the set of fermionic zero-modes in
N=4 supersymmetric Yang-Mills-Higgs theory can be viewed as two copies of the
set of fermionic zero-modes in the N=2 version, we build a model to describe
the quantum mechanics of N=4 supersymmetric monopoles, based on our previous
paper [1] on the N=2 case, in which this doubling of fermionic zero-modes is
manifest throughout. Our final picture extends the familiar result that quantum
states are described by differential forms on the moduli space and that the
Hamiltonian operator is the Laplacian acting on forms. In particular, we derive
a general expression for the total angular momentum operator on the moduli
space which differs from the naive candidate by the adjoint action of the
complex structures. We also express all the supercharges in terms of (twisted)
Dolbeault operators and illustrate our results by discussing, in some detail,
the N=4 supersymmetric quantum dynamics of monopoles in a theory with gauge
group SU(3) broken to U(1) x U(1).
| [
{
"created": "Sun, 4 Apr 2010 19:19:54 GMT",
"version": "v1"
},
{
"created": "Thu, 20 May 2010 16:54:40 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"de Vries",
"Erik Jan",
""
],
[
"Schroers",
"Bernd J.",
""
]
] | We revisit the moduli space approximation to the quantum mechanics of monopoles in N=4 supersymmetric Yang-Mills-Higgs theory with maximal symmetry breaking. Starting with the observation that the set of fermionic zero-modes in N=4 supersymmetric Yang-Mills-Higgs theory can be viewed as two copies of the set of fermionic zero-modes in the N=2 version, we build a model to describe the quantum mechanics of N=4 supersymmetric monopoles, based on our previous paper [1] on the N=2 case, in which this doubling of fermionic zero-modes is manifest throughout. Our final picture extends the familiar result that quantum states are described by differential forms on the moduli space and that the Hamiltonian operator is the Laplacian acting on forms. In particular, we derive a general expression for the total angular momentum operator on the moduli space which differs from the naive candidate by the adjoint action of the complex structures. We also express all the supercharges in terms of (twisted) Dolbeault operators and illustrate our results by discussing, in some detail, the N=4 supersymmetric quantum dynamics of monopoles in a theory with gauge group SU(3) broken to U(1) x U(1). |
hep-th/0011009 | Samson Shatashvili | Anton A. Gerasimov and Samson L. Shatashvili | Stringy Higgs Mechanism and the Fate of Open Strings | 21pages, harvmac b mode, references added | JHEP 0101:019,2001 | 10.1088/1126-6708/2001/01/019 | YCTP - SS2-2000 | hep-th | null | We propose a refinement of the physical picture describing different vacua in
bosonic string theory. The vacua with closed strings and open strings are
connected by the string field theory version of the Higgs mechanism,
generalizing the Higgs mechanism of an abelian gauge field interacting with a
complex scalar. In accordance with Sen's conjecture, the condensation of the
tachyon is an essential part of the story. We consider this phenomenon from the
point of view of both a world-sheet sigma-model and the target-space theory. In
the Appendix the relevant remarks regarding the choice of the coordinates in
the background independent open string field theory are given.
| [
{
"created": "Thu, 2 Nov 2000 22:59:34 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 2000 03:40:11 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Gerasimov",
"Anton A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | We propose a refinement of the physical picture describing different vacua in bosonic string theory. The vacua with closed strings and open strings are connected by the string field theory version of the Higgs mechanism, generalizing the Higgs mechanism of an abelian gauge field interacting with a complex scalar. In accordance with Sen's conjecture, the condensation of the tachyon is an essential part of the story. We consider this phenomenon from the point of view of both a world-sheet sigma-model and the target-space theory. In the Appendix the relevant remarks regarding the choice of the coordinates in the background independent open string field theory are given. |
1811.09056 | Ilya Bakhmatov | Ilya Bakhmatov and Edvard Musaev | Classical Yang-Baxter equation from beta-supergravity | 19 pages; v2: references updated; v3: published version | JHEP 1901 (2019) 140 | 10.1007/JHEP01(2019)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Yang-Baxter deformations of superstring sigma-models have recently inspired a
supergravity solution generating technique. Using the open/closed string map
and a Killing bi-vector as a deformation parameter, new solutions can be built,
such that the (generalised) supergravity field equations were conjectured to
always reduce to the classical Yang-Baxter equation (CYBE). In this work we
provide a proof of this conjecture, using a systematic approach based on the
so-called $\beta$-supergravity, which is a dynamical theory for the field
$\beta^{mn}$ instead of the NSNS 2-form $b_{mn}$.
| [
{
"created": "Thu, 22 Nov 2018 08:04:28 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Dec 2018 09:06:31 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jan 2019 12:24:20 GMT",
"version": "v3"
}
] | 2019-01-29 | [
[
"Bakhmatov",
"Ilya",
""
],
[
"Musaev",
"Edvard",
""
]
] | Yang-Baxter deformations of superstring sigma-models have recently inspired a supergravity solution generating technique. Using the open/closed string map and a Killing bi-vector as a deformation parameter, new solutions can be built, such that the (generalised) supergravity field equations were conjectured to always reduce to the classical Yang-Baxter equation (CYBE). In this work we provide a proof of this conjecture, using a systematic approach based on the so-called $\beta$-supergravity, which is a dynamical theory for the field $\beta^{mn}$ instead of the NSNS 2-form $b_{mn}$. |
1607.06670 | Gonzalo Olmo | Gonzalo J. Olmo | Nonsingular black holes in Palatini extensions of General Relativity | 37 pages, 3 figures. Lecture notes published as a chapter in the book
"Theoretical Frontiers in Black Holes and Cosmology", Springer Proceedings in
Physics, Eds. R. Kallosh and E. Orazi, (2016) | null | 10.1007/978-3-319-31352-8_5 | IFIC/16-53 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An introduction to extended theories of gravity formulated in metric-affine
(or Palatini) spaces is presented. Focusing on spherically symmetric
configurations with electric fields, we will see that in these theories the
central singularity present in General Relativity is generically replaced by a
wormhole structure. The resulting space-time becomes geodesically complete and,
therefore, can be regarded as non-singular. We illustrate these properties
considering two different models, namely, a quadratic $f(R)$ theory and a
Born-Infeld like gravity theory.
| [
{
"created": "Fri, 22 Jul 2016 13:15:00 GMT",
"version": "v1"
}
] | 2016-07-25 | [
[
"Olmo",
"Gonzalo J.",
""
]
] | An introduction to extended theories of gravity formulated in metric-affine (or Palatini) spaces is presented. Focusing on spherically symmetric configurations with electric fields, we will see that in these theories the central singularity present in General Relativity is generically replaced by a wormhole structure. The resulting space-time becomes geodesically complete and, therefore, can be regarded as non-singular. We illustrate these properties considering two different models, namely, a quadratic $f(R)$ theory and a Born-Infeld like gravity theory. |
hep-th/9312048 | null | D. R. Grigore | The Projective Unitary Irreducible Representations of the Galilei Group
in 1+2 Dimensions | 15 pages, LATEX, preprint IFA-FT-391-1993, December | J.Math.Phys. 37 (1996) 460-473 | 10.1063/1.531402 | null | hep-th | null | We give an elementary analysis of the multiplicator group of the Galilei
group in 1+2 dimensions $G^{\uparrow}_{+}$. For a non-trivial multiplicator we
give a list of all the corresponding projective unitary irreducible
representations of $G^{\uparrow}_{+}$.
| [
{
"created": "Tue, 7 Dec 1993 07:25:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Grigore",
"D. R.",
""
]
] | We give an elementary analysis of the multiplicator group of the Galilei group in 1+2 dimensions $G^{\uparrow}_{+}$. For a non-trivial multiplicator we give a list of all the corresponding projective unitary irreducible representations of $G^{\uparrow}_{+}$. |
1304.6484 | Feng Wu | Shan-quan Lan and Feng Wu | Aspects of Electrodynamics Modified by Some Dimension-five Lorentz
Violating Interactions | 16 pages, 1 figures; revised version published in PRD | Phys. Rev. D 87, 125022 (2013) | 10.1103/PhysRevD.87.125022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming Lorentz symmetry is broken by some fixed vector background, we study
the spinor electrodynamics modified by two dimension-five Lorentz-violating
interactions between fermions and photons. The effective polarization and
magnetization are identified from the modified Maxwell equations, and the
theoretical consequences are investigated. We also compute the corrections to
the relativistic energy levels of hydrogen atom induced by these
Lorentz-violating operators in the absence and presence of uniform external
fields in first-order perturbation theory. We find that the hydrogen spectrum
is insensitive to the breakdown of Lorentz boost symmetry.
| [
{
"created": "Wed, 24 Apr 2013 06:15:42 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2013 08:00:03 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Lan",
"Shan-quan",
""
],
[
"Wu",
"Feng",
""
]
] | Assuming Lorentz symmetry is broken by some fixed vector background, we study the spinor electrodynamics modified by two dimension-five Lorentz-violating interactions between fermions and photons. The effective polarization and magnetization are identified from the modified Maxwell equations, and the theoretical consequences are investigated. We also compute the corrections to the relativistic energy levels of hydrogen atom induced by these Lorentz-violating operators in the absence and presence of uniform external fields in first-order perturbation theory. We find that the hydrogen spectrum is insensitive to the breakdown of Lorentz boost symmetry. |
hep-th/0701135 | Wei Fang | H.Q.Lu, W.Fang, Z.G.Huang, P.Y.Ji | The Consistent Result of Cosmological Constant From Quantum Cosmology
and Inflation with Born-Infeld Scalar Field | 12 pages, one figure, references added, accepted by European Physical
Journal C | Eur.Phys.J.C55:329-335,2008 | 10.1140/epjc/s10052-008-0564-z | null | hep-th | null | The Quantum cosmology with Born-Infeld(B-I) type scalar field is considered.
In the extreme limits of small cosmological scale factor the wave function of
the universe can also be obtained by applying the methods developed by
Hartle-Hawking(H-H) and Vilenkin. H-H wave function predicts that most Probable
cosmological constant $\Lambda$ equals to $\frac{1}{\eta}$($\frac{1}{2\eta}$
equals to the maximum of the kinetic energy of scalar field). It is different
from the original results($\Lambda=0$) in cosmological constant obtained by
Hartle-Hawking. The Vilenkin wave function predicts a nucleating unverse with
largest possible cosmological constant and it is larger than $1/\eta$. The
conclusions have been nicely to reconcile with cosmic inflation. We investigate
the inflation model with B-I type scalar field, and find that $\eta$ depends on
the amplitude of tensor perturbation $\delta_h$, with the form
$\frac{1}{\eta}\simeq \frac{m^2}{12\pi[(\frac{9\delta_{\Phi}^2}{N
\delta_h^2})^2-1]}.$ The vacuum energy in inflation epoch depends on the
tensor-to-scalar ratio $\frac{\delta_h}{\delta_{\Phi}}$. The amplitude of the
tensor perturbation ${\delta_{h}}$ can, in principle, be large enough to be
discovered. However, it is only on the border of detectability in future
experiments. If it has been observed in future, this is very interesting to
determine the vacuum energy in inflation epoch.
| [
{
"created": "Mon, 15 Jan 2007 06:39:23 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2007 02:50:08 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Feb 2008 07:23:24 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lu",
"H. Q.",
""
],
[
"Fang",
"W.",
""
],
[
"Huang",
"Z. G.",
""
],
[
"Ji",
"P. Y.",
""
]
] | The Quantum cosmology with Born-Infeld(B-I) type scalar field is considered. In the extreme limits of small cosmological scale factor the wave function of the universe can also be obtained by applying the methods developed by Hartle-Hawking(H-H) and Vilenkin. H-H wave function predicts that most Probable cosmological constant $\Lambda$ equals to $\frac{1}{\eta}$($\frac{1}{2\eta}$ equals to the maximum of the kinetic energy of scalar field). It is different from the original results($\Lambda=0$) in cosmological constant obtained by Hartle-Hawking. The Vilenkin wave function predicts a nucleating unverse with largest possible cosmological constant and it is larger than $1/\eta$. The conclusions have been nicely to reconcile with cosmic inflation. We investigate the inflation model with B-I type scalar field, and find that $\eta$ depends on the amplitude of tensor perturbation $\delta_h$, with the form $\frac{1}{\eta}\simeq \frac{m^2}{12\pi[(\frac{9\delta_{\Phi}^2}{N \delta_h^2})^2-1]}.$ The vacuum energy in inflation epoch depends on the tensor-to-scalar ratio $\frac{\delta_h}{\delta_{\Phi}}$. The amplitude of the tensor perturbation ${\delta_{h}}$ can, in principle, be large enough to be discovered. However, it is only on the border of detectability in future experiments. If it has been observed in future, this is very interesting to determine the vacuum energy in inflation epoch. |
hep-th/0108062 | Kayhan Ulker | K. Ulker | N=1 SYM Action and BRST Cohomology | 14 Pages, LaTex. Revised version. To be published in MPLA | Mod.Phys.Lett. A17 (2002) 739-749 | 10.1142/S0217732302007016 | null | hep-th | null | The relation between BRST cohomology and the N=1 supersymmetric Yang-Mills
action in 4 dimensions is discussed. In particular, it is shown that both off
and on shell N=1 SYM actions are related to a lower dimensional field
polynomial by solving the descent equations, which is obtained from the
cohomological analysis of linearized Slavnov-Taylor operator $\B$, in the
framework of Algebraic Renormalization. Furthermore we show that off and on
shell solutions differ only by a $\B$- exact term, which is a consequence of
the fact that the cohomology of both cases are same.
| [
{
"created": "Thu, 9 Aug 2001 17:27:00 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Nov 2001 20:44:19 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Apr 2002 19:12:47 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Ulker",
"K.",
""
]
] | The relation between BRST cohomology and the N=1 supersymmetric Yang-Mills action in 4 dimensions is discussed. In particular, it is shown that both off and on shell N=1 SYM actions are related to a lower dimensional field polynomial by solving the descent equations, which is obtained from the cohomological analysis of linearized Slavnov-Taylor operator $\B$, in the framework of Algebraic Renormalization. Furthermore we show that off and on shell solutions differ only by a $\B$- exact term, which is a consequence of the fact that the cohomology of both cases are same. |
2406.05795 | Markus Schr\"ofl | Markus Schr\"ofl, Stefan Floerchinger | Time Evolution of Relativistic Quantum Fields in Spatial Subregions | 17 pages, 4 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the time evolution of a state of a relativistic quantum field theory
restricted to a spatial subregion $\Omega$. More precisely, we use the
Feynman-Vernon influence functional formalism to describe the dynamics of the
field theory in the interior of $\Omega$ arising after integrating out the
degrees of freedom in the exterior. We show how the influence of the
environment gets encoded in a boundary term. Furthermore, we derive a
stochastic equation of motion for the field expectation value in the interior.
We find that the boundary conditions obtained in this way are energy
non-conserving and non-local in space and time. Our results find applications
in understanding the emergence of local thermalization in relativistic quantum
field theories and the relationship between quantum field theory and
relativistic fluid dynamics.
| [
{
"created": "Sun, 9 Jun 2024 14:11:34 GMT",
"version": "v1"
}
] | 2024-06-11 | [
[
"Schröfl",
"Markus",
""
],
[
"Floerchinger",
"Stefan",
""
]
] | We study the time evolution of a state of a relativistic quantum field theory restricted to a spatial subregion $\Omega$. More precisely, we use the Feynman-Vernon influence functional formalism to describe the dynamics of the field theory in the interior of $\Omega$ arising after integrating out the degrees of freedom in the exterior. We show how the influence of the environment gets encoded in a boundary term. Furthermore, we derive a stochastic equation of motion for the field expectation value in the interior. We find that the boundary conditions obtained in this way are energy non-conserving and non-local in space and time. Our results find applications in understanding the emergence of local thermalization in relativistic quantum field theories and the relationship between quantum field theory and relativistic fluid dynamics. |
1207.3004 | Mariana Grana | Mariana Gra\~na and Francesco Orsi | N=2 vacua in Generalized Geometry | 34 pages | JHEP 1211 (2012) 052 | 10.1007/JHEP11(2012)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the conditions on compactifications of type IIA to four-dimensional
Minkowski space to preserve N=2 supersymmetry in the language of Exceptional
Generalized Geometry (EGG) and Generalized Complex Geometry (GCG). In EGG,
off-shell N =2 supersymmetry requires the existence of a pair of SU(2)_R
singlet and triplet algebraic structures on the exceptional generalized tangent
space that encode all the scalars (NS-NS and R-R) in vector and hypermultiplets
respectively. We show that on shell N=2 requires, except for a single
component, these structures to be closed under a derivative twisted by the
NS-NS and R-R fluxes. We also derive the corresponding GCG-type equations for
the two pairs of pure spinors that build up these structures.
| [
{
"created": "Thu, 12 Jul 2012 15:49:25 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Graña",
"Mariana",
""
],
[
"Orsi",
"Francesco",
""
]
] | We find the conditions on compactifications of type IIA to four-dimensional Minkowski space to preserve N=2 supersymmetry in the language of Exceptional Generalized Geometry (EGG) and Generalized Complex Geometry (GCG). In EGG, off-shell N =2 supersymmetry requires the existence of a pair of SU(2)_R singlet and triplet algebraic structures on the exceptional generalized tangent space that encode all the scalars (NS-NS and R-R) in vector and hypermultiplets respectively. We show that on shell N=2 requires, except for a single component, these structures to be closed under a derivative twisted by the NS-NS and R-R fluxes. We also derive the corresponding GCG-type equations for the two pairs of pure spinors that build up these structures. |
1912.06276 | Mich\`ele Levi | Mich\`ele Levi, Stavros Mougiakakos, Mariana Vieira | Gravitational cubic-in-spin interaction at the next-to-leading
post-Newtonian order | 30 pages, 1 table, 5 figures, published | JHEP 2101 (2021) 036 | 10.1007/JHEP01(2021)036 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we derive for the first time the complete gravitational
cubic-in-spin effective action at the next-to-leading order in the
post-Newtonian (PN) expansion for the interaction of generic compact binaries
via the effective field theory for gravitating spinning objects, which we
extend in this work. This sector, which enters at the fourth and a half PN
(4.5PN) order for rapidly-rotating compact objects, completes finite-size
effects up to this PN order, and is the first sector completed beyond the
current state of the art for generic compact binary dynamics at the 4PN order.
At this order in spins with gravitational nonlinearities we have to take into
account additional terms, which arise from a new type of worldline couplings,
due to the fact that at this order the Tulczyjew gauge for the rotational
degrees of freedom, which involves the linear momentum, can no longer be
approximated only in terms of the four-velocity. One of the main motivations
for us to tackle this sector is also to see what happens when we go to a
sector, which corresponds to the gravitational Compton scattering with quantum
spins larger than one, and maybe possibly also get an insight on the inability
to uniquely fix its amplitude from factorization when spins larger than two are
involved. A general observation that we can clearly make already is that
even-parity sectors in the order of the spin are easier to handle than odd
ones. In the quantum context this corresponds to the greater ease of dealing
with bosons compared to fermions.
| [
{
"created": "Fri, 13 Dec 2019 00:56:30 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 2021 21:57:48 GMT",
"version": "v2"
}
] | 2021-01-15 | [
[
"Levi",
"Michèle",
""
],
[
"Mougiakakos",
"Stavros",
""
],
[
"Vieira",
"Mariana",
""
]
] | In this work we derive for the first time the complete gravitational cubic-in-spin effective action at the next-to-leading order in the post-Newtonian (PN) expansion for the interaction of generic compact binaries via the effective field theory for gravitating spinning objects, which we extend in this work. This sector, which enters at the fourth and a half PN (4.5PN) order for rapidly-rotating compact objects, completes finite-size effects up to this PN order, and is the first sector completed beyond the current state of the art for generic compact binary dynamics at the 4PN order. At this order in spins with gravitational nonlinearities we have to take into account additional terms, which arise from a new type of worldline couplings, due to the fact that at this order the Tulczyjew gauge for the rotational degrees of freedom, which involves the linear momentum, can no longer be approximated only in terms of the four-velocity. One of the main motivations for us to tackle this sector is also to see what happens when we go to a sector, which corresponds to the gravitational Compton scattering with quantum spins larger than one, and maybe possibly also get an insight on the inability to uniquely fix its amplitude from factorization when spins larger than two are involved. A general observation that we can clearly make already is that even-parity sectors in the order of the spin are easier to handle than odd ones. In the quantum context this corresponds to the greater ease of dealing with bosons compared to fermions. |
1210.4222 | Atsushi Nakamula | Atsushi Nakamula and Nobuyuki Sawado | Cyclic Calorons | 21 pages, 2 figures | null | 10.1016/j.nuclphysb.2012.11.026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Nahm data of periodic instantons, often called calorons, with spatial
$C_N$-symmetries are considered, by applying Sutcliffe's ansatz for the
monopoles with $C_N$-symmetries. The bulk data of calorons are shown to enjoy
the periodic Toda lattice, and the solutions are given in terms of elliptic
theta functions. The case of N=3 calorons are investigated in detail. It is
found that the "scale parameters" of these calorons have upper bounds in their
values, so that they do not have the large scale, or monopole, limits. The
instanton limit of the $C_3$-symmetric caloron is obtained.
| [
{
"created": "Tue, 16 Oct 2012 00:06:47 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Nakamula",
"Atsushi",
""
],
[
"Sawado",
"Nobuyuki",
""
]
] | The Nahm data of periodic instantons, often called calorons, with spatial $C_N$-symmetries are considered, by applying Sutcliffe's ansatz for the monopoles with $C_N$-symmetries. The bulk data of calorons are shown to enjoy the periodic Toda lattice, and the solutions are given in terms of elliptic theta functions. The case of N=3 calorons are investigated in detail. It is found that the "scale parameters" of these calorons have upper bounds in their values, so that they do not have the large scale, or monopole, limits. The instanton limit of the $C_3$-symmetric caloron is obtained. |
hep-th/9305016 | Ted Jacobson | Ted Jacobson and Robert C. Myers | Entropy of Lovelock Black Holes | 15 pages, plain Latex, NSF-ITP-93-41 | Phys.Rev.Lett. 70 (1993) 3684-3687 | 10.1103/PhysRevLett.70.3684 | null | hep-th gr-qc | null | A general formula for the entropy of stationary black holes in Lovelock
gravity theories is obtained by integrating the first law of black hole
mechanics, which is derived by Hamiltonian methods. The entropy is not simply
one quarter of the surface area of the horizon, but also includes a sum of
intrinsic curvature invariants integrated over a cross section of the horizon.
| [
{
"created": "Thu, 6 May 1993 01:16:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Jacobson",
"Ted",
""
],
[
"Myers",
"Robert C.",
""
]
] | A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the surface area of the horizon, but also includes a sum of intrinsic curvature invariants integrated over a cross section of the horizon. |
hep-th/9901119 | Shin'ichi Nojiri | Peter van Nieuwenhuizen, Shin'ichi Nojiri and Sergei D. Odintsov | Conformal anomaly for 2d and 4d dilaton coupled spinors | LaTeX file, 15 pages | Phys.Rev.D60:084014,1999 | 10.1103/PhysRevD.60.084014 | NDA-FP-55 | hep-th | null | We study quantum dilaton coupled spinors in two and four dimensions. Making
classical transformation of metric, dilaton coupled spinor theory is
transformed to minimal spinor theory with another metric and in case of 4d
spinor also in the background of the non-trivial vector field. This gives the
possibility to calculate 2d and 4d dilaton dependent conformal (or Weyl)
anomaly in easy way. Anomaly induced effective action for such spinors is
derived. In case of 2d, the effective action reproduces, without any extra
terms, the term added by hands in the quantum correction for RST model, which
is exactly solvable. For 4d spinor the chiral anomaly which depends explicitly
from dilaton is also found. As some application we discuss SUSY Black Holes in
dilatonic supergravity with WZ type matter and Hawking radiation in the same
theory. As another application we investigate spherically reduced Einstein
gravity with 2d dilaton coupled fermion anomaly induced effective action and
show the existence of quantum corrected Schwarszchild-de Sitter (SdS) (Nariai)
BH with multiple horizon.
| [
{
"created": "Mon, 25 Jan 1999 11:24:16 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"van Nieuwenhuizen",
"Peter",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We study quantum dilaton coupled spinors in two and four dimensions. Making classical transformation of metric, dilaton coupled spinor theory is transformed to minimal spinor theory with another metric and in case of 4d spinor also in the background of the non-trivial vector field. This gives the possibility to calculate 2d and 4d dilaton dependent conformal (or Weyl) anomaly in easy way. Anomaly induced effective action for such spinors is derived. In case of 2d, the effective action reproduces, without any extra terms, the term added by hands in the quantum correction for RST model, which is exactly solvable. For 4d spinor the chiral anomaly which depends explicitly from dilaton is also found. As some application we discuss SUSY Black Holes in dilatonic supergravity with WZ type matter and Hawking radiation in the same theory. As another application we investigate spherically reduced Einstein gravity with 2d dilaton coupled fermion anomaly induced effective action and show the existence of quantum corrected Schwarszchild-de Sitter (SdS) (Nariai) BH with multiple horizon. |
hep-th/0505080 | Shinji Mukohyama | Shinji Mukohyama | Ghost Condensation and Gravity in Higgs Phase | 4 pages. Talk given at JGRG 14. This complements the final version of
hep-th/0502189 | Proceedings of the 14th Workshop on General Relativity and
Gravitation (2005) | null | null | hep-th astro-ph gr-qc hep-ph | null | A tachyon is considered to be sick in the context of particle mechanics, but
in field theory just indicates instability of a background. We consider a
similar possibility that a ghost in field theory might be just an indication of
instability of a background and that it can condense to form a different
background around which there is no ghost. We construct a low energy effective
field theory based on the derivative expansion around the stable background.
Possible applications are discussed, including dark energy, dark matter,
inflation and black hole.
| [
{
"created": "Tue, 10 May 2005 13:52:26 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mukohyama",
"Shinji",
""
]
] | A tachyon is considered to be sick in the context of particle mechanics, but in field theory just indicates instability of a background. We consider a similar possibility that a ghost in field theory might be just an indication of instability of a background and that it can condense to form a different background around which there is no ghost. We construct a low energy effective field theory based on the derivative expansion around the stable background. Possible applications are discussed, including dark energy, dark matter, inflation and black hole. |
hep-th/9809074 | Vadim A. Brazhnikov | Vadim A. Brazhnikov | Wave function renormalization constants and one-particle form factors in
$D_{l}^{(1)}$ Toda field theories | harvmac, 28 pages, 2 eps figures, misprints corrected | Nucl.Phys. B542 (1999) 694-718 | 10.1016/S0550-3213(98)00859-1 | UMTG-212 | hep-th | null | We apply the method of angular quantization to calculation of the wave
function renormali- zation constants in $D_{l}^{(1)}$ affine Toda quantum field
theories. A general formula for the wave function renormalization constants in
ADE Toda field theories is proposed. We also calculate all one-particle form
factors and some of the two-particle form factors of an exponential field.
| [
{
"created": "Thu, 10 Sep 1998 22:22:05 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 1998 23:17:36 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Brazhnikov",
"Vadim A.",
""
]
] | We apply the method of angular quantization to calculation of the wave function renormali- zation constants in $D_{l}^{(1)}$ affine Toda quantum field theories. A general formula for the wave function renormalization constants in ADE Toda field theories is proposed. We also calculate all one-particle form factors and some of the two-particle form factors of an exponential field. |
hep-th/0507022 | Robert Finkelstein j | Robert J. Finkelstein (UCLA) and A. C. Cadavid (CSU, Northridge) | Masses and Interactions of q-Fermionic Knots | 40 pages, 2 figures, latex format | Int.J.Mod.Phys.A21:4269-4302,2006 | 10.1142/S0217751X06032496 | UCLA/05/TEP/20 | hep-th | null | The q-electroweak theory suggests a description of elementary particles as
solitons labelled by the irreducible representations of SU_q(2). Since knots
may also be labelled by the irreducible representations of SU_q(2), we study a
model of elementary particles based on a one-to-one correspondence between the
four families of Fermions (leptons, neutrinos, (-1/3) quarks, (2/3) quarks) and
the four simplest knots (trefoils). In this model the three particles of each
family are identified with the ground and first two excited states of their
common trefoil. Guided by the standard electroweak theory we calculate
conditions restricting the masses of the fermions and the interactions between
them.
In its present form the model predicts a fourth generation of fermions as
well as a neutrino spectrum. The same model with q almost equal to 1 is
compatible with the Kobayashi-Maskawa matrix. Depending on the test of these
predictions, the model may be refined.
| [
{
"created": "Fri, 1 Jul 2005 23:08:22 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Oct 2005 00:19:57 GMT",
"version": "v2"
}
] | 2011-08-22 | [
[
"Finkelstein",
"Robert J.",
"",
"UCLA"
],
[
"Cadavid",
"A. C.",
"",
"CSU, Northridge"
]
] | The q-electroweak theory suggests a description of elementary particles as solitons labelled by the irreducible representations of SU_q(2). Since knots may also be labelled by the irreducible representations of SU_q(2), we study a model of elementary particles based on a one-to-one correspondence between the four families of Fermions (leptons, neutrinos, (-1/3) quarks, (2/3) quarks) and the four simplest knots (trefoils). In this model the three particles of each family are identified with the ground and first two excited states of their common trefoil. Guided by the standard electroweak theory we calculate conditions restricting the masses of the fermions and the interactions between them. In its present form the model predicts a fourth generation of fermions as well as a neutrino spectrum. The same model with q almost equal to 1 is compatible with the Kobayashi-Maskawa matrix. Depending on the test of these predictions, the model may be refined. |
hep-th/9705173 | Shamit Kachru | Shamit Kachru | Aspects of N=1 String Dynamics | 16 pages, 6 figures. Lectures delivered at 33rd Karpacz Winter
School. Some typos are corrected | Nucl.Phys.Proc.Suppl.61A:42-57,1998 | 10.1016/S0920-5632(97)00518-5 | null | hep-th | null | We review several topics of interest in the study of 4d N=1 supersymmetric
compactifications of the heterotic string. After a brief introduction to the
construction of such models, our focus is on the novel physics which occurs at
singularities in the moduli space of vacua. Among the phenomena we discuss are
nonperturbative superpotentials, dynamical generation of poles in various
low-energy couplings, and phase transitions which change the net number of
chiral generations.
| [
{
"created": "Thu, 22 May 1997 18:42:52 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 1997 14:51:59 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kachru",
"Shamit",
""
]
] | We review several topics of interest in the study of 4d N=1 supersymmetric compactifications of the heterotic string. After a brief introduction to the construction of such models, our focus is on the novel physics which occurs at singularities in the moduli space of vacua. Among the phenomena we discuss are nonperturbative superpotentials, dynamical generation of poles in various low-energy couplings, and phase transitions which change the net number of chiral generations. |
hep-th/0503216 | Adam Falkowski | Kiwoon Choi, Adam Falkowski, Hans Peter Nilles, Marek Olechowski | Soft Supersymmetry Breaking in KKLT Flux Compactification | minor corrections, references added, version accepted in NPB | Nucl.Phys.B718:113-133,2005 | 10.1016/j.nuclphysb.2005.04.032 | IFT-05-05, KAIST-TH 2005/04, DESY-05-052 | hep-th hep-ph | null | We examine the structure of soft supersymmetry breaking terms in KKLT models
of flux compactification with low energy supersymmetry. Moduli are stabilized
by fluxes and nonperturbative dynamics while a de Sitter vacuum is obtained by
adding supersymmetry breaking anti-branes. We discuss the characteristic
pattern of mass scales in such a set-up as well as some features of 4D N=1
supergravity breakdown by anti-branes. Anomaly mediation is found to always
give an important contribution and one can easily arrange for
flavor-independent soft terms. In its most attractive realization, the modulus
mediation is comparable to the anomaly mediation, yielding a quite distinctive
sparticle spectrum. In addition, the axion component of the modulus/dilaton
superfield dynamically cancels the relative CP phase between the contributions
of anomaly and modulus mediation, thereby avoiding dangerous SUSY CP violation.
| [
{
"created": "Mon, 28 Mar 2005 02:31:57 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2005 16:16:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Choi",
"Kiwoon",
""
],
[
"Falkowski",
"Adam",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Olechowski",
"Marek",
""
]
] | We examine the structure of soft supersymmetry breaking terms in KKLT models of flux compactification with low energy supersymmetry. Moduli are stabilized by fluxes and nonperturbative dynamics while a de Sitter vacuum is obtained by adding supersymmetry breaking anti-branes. We discuss the characteristic pattern of mass scales in such a set-up as well as some features of 4D N=1 supergravity breakdown by anti-branes. Anomaly mediation is found to always give an important contribution and one can easily arrange for flavor-independent soft terms. In its most attractive realization, the modulus mediation is comparable to the anomaly mediation, yielding a quite distinctive sparticle spectrum. In addition, the axion component of the modulus/dilaton superfield dynamically cancels the relative CP phase between the contributions of anomaly and modulus mediation, thereby avoiding dangerous SUSY CP violation. |
hep-th/0601090 | John M. Cornwall | John M. Cornwall | Probing the center-vortex area law in d=3: The role of inert vortices | Inconsistent notation and typos repaired. No changes in conclusions.
18 pages, revtex4, 5 .eps figures | Phys.Rev.D73:065004,2006 | 10.1103/PhysRevD.73.065004 | UCLA/06/TEP/01 | hep-th | null | In center vortex theory, beyond the simplest picture of confinement several
conceptual problems arise that are the subject of this paper. Confinement
arises through averaging of phase factors which are gauge-group center elements
raised to the power of the Gauss linking numbers of vortices. The simplest
approach to confinement counts this link number by counting the number of
vortices, considered in d=3 as infinitely-long closed self-avoiding random
walks on a cubical lattice, piercing any surface spanning the Wilson loop. A
given vortex, however, may pierce the spanning surface multiply with a link
number smaller than the number of piercings. We call such vortices inert
(although they may be only partially-inert). We estimate the dilution factor
from inert vortices that reduces the ratio of fundamental string tension to
vortex areal piercing density as roughly 0.6. Next we show how inert vortices
resolve the old problem that the link number of a given vortex configuration is
the same for any choice of spanning surface, yet only one such surface appears
in the Wilson loop expectation value. Third, we discuss semi- quantitatively a
configuration of two distinct Wilson loops separated by a variable distance,
and show how inert vortices govern the transition between two allowed forms of
the area law, one at small separation and one at large. The result is a
finite-range Van der Waals force between the loops. Finally, in a problem
related to the double-loop problem, we argue that inert vortices do not affect
the fact that in the SU(3) baryonic area law, the mesonic string tension
appears.
| [
{
"created": "Fri, 13 Jan 2006 23:08:58 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2006 18:12:56 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cornwall",
"John M.",
""
]
] | In center vortex theory, beyond the simplest picture of confinement several conceptual problems arise that are the subject of this paper. Confinement arises through averaging of phase factors which are gauge-group center elements raised to the power of the Gauss linking numbers of vortices. The simplest approach to confinement counts this link number by counting the number of vortices, considered in d=3 as infinitely-long closed self-avoiding random walks on a cubical lattice, piercing any surface spanning the Wilson loop. A given vortex, however, may pierce the spanning surface multiply with a link number smaller than the number of piercings. We call such vortices inert (although they may be only partially-inert). We estimate the dilution factor from inert vortices that reduces the ratio of fundamental string tension to vortex areal piercing density as roughly 0.6. Next we show how inert vortices resolve the old problem that the link number of a given vortex configuration is the same for any choice of spanning surface, yet only one such surface appears in the Wilson loop expectation value. Third, we discuss semi- quantitatively a configuration of two distinct Wilson loops separated by a variable distance, and show how inert vortices govern the transition between two allowed forms of the area law, one at small separation and one at large. The result is a finite-range Van der Waals force between the loops. Finally, in a problem related to the double-loop problem, we argue that inert vortices do not affect the fact that in the SU(3) baryonic area law, the mesonic string tension appears. |
1511.09046 | Sofiane Faci | Sofiane Faci | Canonical SO(2,4)-invariant quantization in conformally flat spaces | 5 pages with no figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to quantize SO(2,d)-invariant fields in d > 2 dimensional
conformally flat spaces (CFS). The Weyl equivalence between CFSs is exploited
to perform the quantization process in Minkowski space then transport the
entire SO(2,d)-invariant structure to curved CFSs. We make use of the canonical
quantization scheme and a special careful is made to specify a scalar product,
technically related to a Cauchy surface. The latter is chosen to be common to
all globally hyperbolic CFSs in order to relate the different associated
Hilbert spaces. The quantum fields are constructed and the two-point functions
are given in terms of their minkowskian counterparts. It appears that an
SO(2,d)-invariant quantum field does not locally distinguish between two
different CFSs.
| [
{
"created": "Sun, 29 Nov 2015 17:17:53 GMT",
"version": "v1"
}
] | 2015-12-01 | [
[
"Faci",
"Sofiane",
""
]
] | We show how to quantize SO(2,d)-invariant fields in d > 2 dimensional conformally flat spaces (CFS). The Weyl equivalence between CFSs is exploited to perform the quantization process in Minkowski space then transport the entire SO(2,d)-invariant structure to curved CFSs. We make use of the canonical quantization scheme and a special careful is made to specify a scalar product, technically related to a Cauchy surface. The latter is chosen to be common to all globally hyperbolic CFSs in order to relate the different associated Hilbert spaces. The quantum fields are constructed and the two-point functions are given in terms of their minkowskian counterparts. It appears that an SO(2,d)-invariant quantum field does not locally distinguish between two different CFSs. |
hep-th/0611209 | Denjoe O'Connor | Brian P. Dolan, Idrish Huet, Sean Murray and Denjoe O'Connor | Noncommutative vector bundles over fuzzy CP^N and their covariant
derivatives | 34 pages, v2 contains minor corrections to the published version | JHEP0707:007,2007 | 10.1088/1126-6708/2007/07/007 | DIAS-STP-06-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalise the construction of fuzzy CP^N in a manner that allows us to
access all noncommutative equivariant complex vector bundles over this space.
We give a simplified construction of polarization tensors on S^2 that
generalizes to complex projective space, identify Laplacians and natural
noncommutative covariant derivative operators that map between the modules that
describe noncommuative sections. In the process we find a natural
generalization of the Schwinger-Jordan construction to su(n) and identify
composite oscillators that obey a Heisenberg algebra on an appropriate Fock
space.
| [
{
"created": "Mon, 20 Nov 2006 11:44:28 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2008 18:10:08 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dolan",
"Brian P.",
""
],
[
"Huet",
"Idrish",
""
],
[
"Murray",
"Sean",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | We generalise the construction of fuzzy CP^N in a manner that allows us to access all noncommutative equivariant complex vector bundles over this space. We give a simplified construction of polarization tensors on S^2 that generalizes to complex projective space, identify Laplacians and natural noncommutative covariant derivative operators that map between the modules that describe noncommuative sections. In the process we find a natural generalization of the Schwinger-Jordan construction to su(n) and identify composite oscillators that obey a Heisenberg algebra on an appropriate Fock space. |
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