Most general AdS3 boundary conditions

Grumiller, Daniel; Riegler, Max

doi:10.1007/jhep10(2016)023

Cited by 124 publications

(197 citation statements)

References 47 publications

(65 reference statements)

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“…Restricting the metric in various ways then leads to different sets of boundary conditions with corresponding sets of asymptotic symmetries. In essence, our discussion of boundary conditions follows the AdS 3 discussion in [79].…”

Section: Jhep10(2017)203mentioning

confidence: 99%

“…The generalized Fefferman-Graham expansion of the metric (3.18) is reminiscent of its AdS 3 version [79]. Likewise, the dilaton is…”

Section: Asymptotic Ads 2 Conditionsmentioning

confidence: 99%

“…The reason for this apparent discrepancy is the explicit dependence of the functions σ, λ, and α on the functions appearing in the metric. So we need a modified bracket that isolates the parts of the functions appearing in ξ µ that do not depend on L ± and L 0 , see for instance [79,94,111]. To see how this works, consider a specific component of ξ µ and write it as…”

Section: A Modified Bracket For Diffeomorphismsmentioning

confidence: 99%

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Menagerie of AdS2 boundary conditions

Grumiller

McNees

Salzer

et al. 2017

J. High Energ. Phys.

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154

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Abstract:We consider different sets of AdS 2 boundary conditions for the JackiwTeitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincaré disk. The most general set of boundary conditions is easily motivated in the gauge theoretic formulation as a Poisson sigma model and has an sl(2) current algebra as asymptotic symmetries. Consistency of the variational principle requires a novel boundary counterterm in the holographically renormalized action, namely a kinetic term for the dilaton. The on-shell action can be naturally reformulated as a Schwarzian boundary action. While there can be at most three canonical boundary charges on an equal-time slice, we consider all Fourier modes of these charges with respect to the Euclidean boundary time and study their associated algebras. Besides the (centerless) sl(2) current algebra we find for stricter boundary conditions a Virasoro algebra, a warped conformal algebra and a u(1) current algebra. In each of these cases we get one half of a corresponding symmetry algebra in three-dimensional Einstein gravity with negative cosmological constant and analogous boundary conditions. However, on-shell some of these algebras reduce to finite-dimensional ones, reminiscent of the on-shell breaking of conformal invariance in SYK. We conclude with a discussion of thermodynamical aspects, in particular the entropy and some Cardyology.

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Section: Jhep10(2017)203mentioning

confidence: 99%

“…The generalized Fefferman-Graham expansion of the metric (3.18) is reminiscent of its AdS 3 version [79]. Likewise, the dilaton is…”

Section: Asymptotic Ads 2 Conditionsmentioning

confidence: 99%

Section: A Modified Bracket For Diffeomorphismsmentioning

confidence: 99%

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Menagerie of AdS2 boundary conditions

Grumiller

McNees

Salzer

et al. 2017

J. High Energ. Phys.

Self Cite

154

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“…21 Let us now discuss which diffeomorphisms are (Redundant). The QFT-invisible diffeomorphisms are (Redundant): because the physical quantities do not depend on them.…”

Section: Discussionmentioning

confidence: 99%

“…23 Indeed, the bulk hole argument of De Haro et al [14,Sect. 6] only strictly requires an infinitesimal 21 In the physics literature, what is here called (Redundant) is sometimes called a 'gauge symmetry', while a transformation which is (Local) but not (Redundant) is sometimes called a 'global' symmetry. This use of 'global' and 'gauge' seems confusing because, as just mentioned, symmetries which are not (Redundant) can be (Local), hence they should not be called 'global'.…”

Section: Discussionmentioning

confidence: 99%

The Invisibility of Diffeomorphisms

Haro

2017

Found Phys

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I examine the relationship between (d + 1)-dimensional Poincaré metrics and d-dimensional conformal manifolds, from both mathematical and physical perspectives. The results have a bearing on several conceptual issues relating to asymptotic symmetries in general relativity and in gauge-gravity duality, as follows: (1: Ambient Construction) I draw from the remarkable work by Fefferman and Graham (Elie Cartan et les Mathématiques d'aujourd'hui, Astérisque, 1985; The Ambient Metric. Annals of Mathematics Studies, Princeton University Press, Princeton, 2012) on conformal geometry, in order to prove two propositions and a theorem that characterise which classes of diffeomorphisms qualify as gravity-invisible. I define natural notions of gravity-invisibility (strong, weak, and simpliciter) that apply to the diffeomorphisms of Poincaré metrics in any dimension. (2: Dualities) I apply the notions of invisibility, developed in (1), to gauge-gravity dualities: which, roughly, relate Poincaré metrics in d + 1 dimensions to QFTs in d dimensions. I contrast QFT-visible versus QFT-invisible diffeomorphisms: those gravity diffeomorphisms that can, respectively cannot, be seen from the QFT. The QFT-invisible diffeomorphisms are the ones which are relevant to the hole argument in Einstein spaces. The results on dualities are surprising, because the class of QFT-visible diffeomorphisms is larger than expected, and the class of QFT-invisible ones is smaller than expected, or usually believed, i.e. larger than the PBH diffeomorphisms in Imbimbo et al. (Class Quantum Gravity 17(5):1129, 2000, Eq. 2.6). I also give a general derivation of the asymptotic conformal Killing equation, which has not appeared in the literature before.

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Probes in AdS3 Quantum Gravity

Castro

2020

Quantum Theory and Symmetries

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Most general AdS3 boundary conditions

Cited by 124 publications

References 47 publications

Menagerie of AdS2 boundary conditions

Menagerie of AdS2 boundary conditions

The Invisibility of Diffeomorphisms

Probes in AdS3 Quantum Gravity

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