On quantization of AdS3 gravity I: semi-classical analysis

Sheikh-Jabbari, M. M.; Yavartanoo, Hossein

doi:10.1007/jhep07(2014)104

Cited by 22 publications

(52 citation statements)

References 44 publications

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“…In this way, we can relate the near horizon symmetry algebra to the asymptotic one in the context of GMMG. This relation shows that the main part of the horizon fluffs proposed by [193,197] appear for generic black holes in the class of Banados geometries in GMMG model.…”

Section: B Relation Between the Asymptotic And Near Horizon Algebrasmentioning

confidence: 57%

“…Now, the conserved charge of (194) is represented by (31) or equivalently (32). Under the conformal transformation (193), the antisymmetric tensor F νµ defining the conserved charge (32) transforms as…”

Section: Charges In Scalar-tensor Gravitiesmentioning

confidence: 99%

“…If we set δ ξ L ± = 0, we can get the exact symmetries of the Banados geometries. In this case T ± are not arbitrary functions and this was considered in [193,194]. Here, we consider the general case in which δ ξ L ± = 0.…”

Section: Horizon Fluffs In Generalized Minimal Massive Gravitymentioning

confidence: 99%

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Conserved charges in extended theories of gravity

et al. 2019

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We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the Killing charge method, and a proper discussion of the conserved charges of extended gravity theories with this method requires studying the corresponding charges in Einstein's theory with or without a cosmological constant. Hence we study the ADM charges (in the asymptotically flat case but in generic viable coordinates), the AD charges (in generic Einstein spaces, including the anti-de Sitter spacetimes) and the ADT charges in anti-de Sitter spacetimes. We also discuss the conformal properties and the behavior of these charges under large gauge transformations as well as the linearization instability issue which explains the vanishing charge problem for some particular extended theories. We devote a long discussion to the quasi-local and offshell generalization of conserved charges in the 2+1 dimensional Chern-Simons like theories and suggest their possible relevance to the entropy of black holes.

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Section: B Relation Between the Asymptotic And Near Horizon Algebrasmentioning

confidence: 57%

Section: Charges In Scalar-tensor Gravitiesmentioning

confidence: 99%

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Conserved charges in extended theories of gravity

et al. 2019

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“…The first step towards horizon fluff was performed in [1], where a simple model for identifying black hole microstates was proposed. A certain class of near horizon soft hairs are associated with a non-extremal BTZ black hole solution [41,42] or its conformal descendants [51,52,53]. These states are identified as the black hole microstates and were called horizon fluff.…”

Section: Black Hole Microstates (Horizon Fluff ) As Near Horizon Softmentioning

confidence: 99%

“…The fermionic fields solve Hill's equation Ψ − LΨ = 0. The doublet formed out of the two solutions of the Hill's equation form an SL(2, R) doublet [52], i.e. fermions in the Chern-Simons formulation for AdS 3 gravity.…”

Section: Future Research Directionsmentioning

confidence: 99%

Horizon fluff, semi-classical black hole microstates — Log-corrections to BTZ entropy and black hole/particle correspondence

Afshar

Grumiller

Sheikh-Jabbari

et al. 2017

J. High Energ. Phys.

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According to the horizon fluff proposal microstates of a generic black hole belong to a certain subset of near horizon soft hairs that cannot be extended beyond the near horizon region. In [1,2] it was shown how the horizon fluff proposal works for AdS 3 black holes. In this work we clarify further this picture by showing that BTZ black hole microstates are in general among the coherent states in the Hilbert space associated with conic spaces or their Virasoro descendants, provided we impose a (Bohr-type) quantization condition on the angular deficit. Thus BTZ black holes may be viewed as condensates (or solitonic states) of AdS 3 particles. We provide canonical and microcanonical descriptions of the statistical mechanical system associated with BTZ black holes and their microstates, and relate them. As a further non-trivial check we show the horizon fluff proposal correctly reproduces the expected logarithmic corrections to the BTZ entropy.

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Symplectic and Killing symmetries of AdS3 gravity: holographic vs boundary gravitons

Compère

Mao

Seraj

et al. 2016

J. High Energ. Phys.

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116

216

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The set of solutions to the AdS 3 Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left and right-moving. It turns out that there exists an appropriate presymplectic form which vanishes on-shell. This promotes this set of metrics to a phase space in which the Brown-Henneaux asymptotic symmetries become symplectic symmetries in the bulk of spacetime. Moreover, any element in the phase space admits two global Killing vectors. We show that the conserved charges associated with these Killing vectors commute with the Virasoro symplectic symmetry algebra, extending the Virasoro symmetry algebra with two U(1) generators. We discuss that any element in the phase space falls into the coadjoint orbits of the Virasoro algebras and that each orbit is labeled by the U(1) Killing charges. Upon setting the right-moving function to zero and restricting the choice of orbits, one can take a near-horizon decoupling limit which preserves a chiral half of the symplectic symmetries. Here we show two distinct but equivalent ways in which the chiral Virasoro symplectic symmetries in the near-horizon geometry can be obtained as a limit of the bulk symplectic symmetries.

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On quantization of AdS3 gravity I: semi-classical analysis

Cited by 22 publications

References 44 publications

Conserved charges in extended theories of gravity

Conserved charges in extended theories of gravity

Horizon fluff, semi-classical black hole microstates — Log-corrections to BTZ entropy and black hole/particle correspondence

Symplectic and Killing symmetries of AdS3 gravity: holographic vs boundary gravitons

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