Brief review on higher spin black holes

Perez, Alfredo; Tempo, David; Troncoso, Ricardo

doi:10.48550/arxiv.1402.1465

Cited by 15 publications

(19 citation statements)

References 85 publications

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“…The would-be variation of the canonical generators that corresponds to the asymptotic symmetries spanned by λ(T, Y, E) can be readily found in the canonical approach [51]. In the case of a Chern-Simons theory in three dimensions, they are given by [52][53][54][55]…”

Section: Asymptotic Behaviour Canonical Generators and Super-bms3 Alg...mentioning

confidence: 99%

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Barnich

Donnay

Matulich

et al. 2014

J. High Energ. Phys.

Self Cite

105

153

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A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a supersymmetric extension of the BMS3 algebra with an appropriate central charge. The energy is manifestly bounded from below with the ground state given by the null orbifold or Minkowski spacetime for periodic, respectively antiperiodic boundary conditions on the gravitino. These results are related to the corresponding ones in AdS3 supergravity by a suitable flat limit. The analysis is generalized to the case of minimal flat supergravity with additional parity odd terms for which the Poisson algebra of canonical generators form a representation of the super-BMS3 algebra with an additional central charge.

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Section: Asymptotic Behaviour Canonical Generators and Super-bms3 Alg...mentioning

confidence: 99%

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Barnich

Donnay

Matulich

et al. 2014

J. High Energ. Phys.

Self Cite

105

153

View full text Add to dashboard Cite

show abstract

“…We shall confine our attention to the branch that is smoothly connected to the BTZ black hole as µ → 0. The charges L and W for this solution can be expressed perturbatively in (πµT ) The thermodynamics of the such black holes have been extensively studied in a number of works (see [27] and references therein). It's worthwhile mentioning at this point that chemical potentials conjugate to the higher spin charges W and W are α and ᾱ given by…”

Section: Higher Spin Black Holesmentioning

confidence: 99%

“…have been strikingly matched from the dual CFT [14,24,25] . See [26,27] for recent reviews on the subject.…”

Section: Introductionmentioning

confidence: 99%

Relative entropy in higher spin holography

Datta

2014

Phys. Rev. D

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We examine relative entropy in the context of the higher-spin/CFT duality. We consider 3d bulk configurations in higher spin gravity which are dual to the vacuum and a high temperature state of a CFT with W-algebra symmetries in presence of a chemical potential for a higher spin current. The relative entropy between these states is then evaluated using the Wilson line functional for holographic entanglement entropy. In the limit of small entangling intervals, the relative entropy should vanish for a generic quantum system. We confirm this behaviour by showing that the difference in the expectation values of the modular Hamiltonian between the states matches with the difference in the entanglement entropy in the short-distance regime. Additionally, we compute the relative entropy of states corresponding to smooth solutions in the SL(2, Z) family with respect to the vacuum.

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“…Several intelligent approaches have been constructed such as extended theories with higher curvature, Horava-Lifshitz gravity, bigravity, theories with higher spin fields, gravity with higher dimensional effects and etc. See for example [2]. Usually, the analysis of these theories are based on Lagrangian formalism.…”

Section: Introductionmentioning

confidence: 99%

Hyperscaling-violating Lifshitz solutions in cubic gravity

Ganjali

2016

Phys. Rev. D

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Considering the cubic theory of gravity which has been constructed in [6], we study the existence of Lifshitz and hyper scaling violating Lifshitz solutions. We firstly extend the black hole solution of [6] and find that such extended solutions are valid for any value of dynamical exponent z.Next, we examine the existence of the AdS black hole solution with nonzero hyperscaling-violating exponent θ and general dynamical exponent z. We find that the solutions do exist only for θ = 0, 3 in 4 dimension and θ = 0, 4 in 5 dimension. In particular, when θ = 3(4) in 4(5) dimension, we have Lifshitz and Schwarzschild-AdS black hole solution solution for z = {0, 1}.

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Brief review on higher spin black holes

Cited by 15 publications

References 85 publications

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Relative entropy in higher spin holography

Hyperscaling-violating Lifshitz solutions in cubic gravity

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