Null boundary phase space: slicings, news and memory

Adami, H.; Grumiller, D.; Sheikh-Jabbari, M. M.; Taghiloo, V.; Yavartanoo, H.; Zwikel, C.

doi:10.48550/arxiv.2110.04218

Cited by 7 publications

(10 citation statements)

References 37 publications

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“…Another direction to pursue is the question of integrability of charges. We confirmed here that it seems always possible to render charges integrable by redefining the symmetry generators, as proposed in [58]. Another mechanism to make charges integrable, recently proposed in [65] (see also [66]), is to carefully treat embeddings.…”

Section: Discussionsupporting

confidence: 81%

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Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

Aggarwal,

Ciambelli,

Detournay

et al. 2021

Preprint

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In the context of warped conformal field theories (WCFT), the derivation of the warped Cardy formula relies on the zero mode spectrum being bounded from below. Generically, this is not true for holographic WCFTs in "canonical" ensemble, whereas this condition is satisfied in the "quadratic" ensemble, making it more natural in holographic setups. In this work, we find a new set of boundary conditions in three-dimensional Topologically Massive Gravity (TMG) such that the putative dual theory is a WCFT in quadratic ensemble. Surprisingly, imposing the equations of motion, we obtain a closed form metric spanned by two arbitrary chiral functions, analogous to the Bañados metrics in Einstein gravity. Surface charges for these boundary conditions are not a priori integrable and we discuss two procedures to make them so. We obtain the bulk thermodynamic entropy of warped BTZ black holes by making use of the warped Cardy formula, in its regime of validity. We also discuss the issue of identifying the vacuum in our solution space: demanding the enhancement of global symmetries selects only a family of solutions, out of which the unique vacuum must be carefully singled out.

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Section: Discussionsupporting

confidence: 81%

“…Although there they are integrable, we observe some similarities with [45] and [46], where one needs to find specific orbits of the residual symmetry vectors to obtain a direct sum algebra. Indeed, in cases where the charges are not integrable, such redefinition makes them so, as discussed in [56][57][58].…”

Section: Surface Charges and Algebramentioning

confidence: 99%

Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

Aggarwal,

Ciambelli,

Detournay

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Such a decomposition will lead to additional modifications of the brackets of the charges. This kind of decomposition has been investigated recently in [63][64][65][66][67][68]. 14 This can equivalently be phrased as finding a Lagrangian submanifold for the boundary phase space involving the symplectic pairs (π ij , h ij ).…”

Section: Brackets Of Localized Chargesmentioning

confidence: 99%

“…We have separated the entire contribution coming from δξ a into the flux term, although for cases where δξ a takes a specific form, it may be possible to separate off a total variation from h δξ to include as a correction to the charge. Such field dependence is used in[63][64][65][66][67][68], for example, to cancel some terms appearing in the flux, to arrive at integrable generators in the absence of gravitational waves.…”

mentioning

confidence: 99%

A general framework for gravitational charges and holographic renormalization

Chandrasekaran¹,

Flanagan²,

Shehzad³

et al. 2021

Preprint

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We develop a general framework for constructing charges associated with diffeomorphisms in gravitational theories using covariant phase space techniques. This framework encompasses both localized charges associated with spacetime subregions, as well as global conserved charges of the full spacetime. Expressions for the charges include contributions from the boundary and corner terms in the subregion action, and are rendered unambiguous by appealing to the variational principle for the subregion, which selects a preferred form of the symplectic flux through the boundaries. The Poisson brackets of the charges on the subregion phase space are shown to reproduce the bracket of Barnich and Troessaert for open subsystems, thereby giving a novel derivation of this bracket from first principles. In the context of asymptotic boundaries, we show that the procedure of holographic renormalization can be always applied to obtain finite charges and fluxes once suitable counterterms have been found to ensure a finite action. This enables the study of larger asymptotic symmetry groups by loosening the boundary conditions imposed at infinity. We further present an algorithm for explicitly computing the counterterms that renormalize the action and symplectic potential, and, as an application of our framework, demonstrate that it reproduces known expressions for the charges of the generalized Bondi-Metzner-Sachs algebra.

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“…It is well understood that at any null boundary in two or three dimensional spacetime one obtain infinite dimensional algebra by constructing the conserved charges without imposing any specific boundary conditions [9]. Recently, this is also realized in general dimensions [10].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetrization of deformed BMS algebras

Banerjee¹,

Mitra²,

Mukherjee³

et al. 2022

Preprint

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W (a, b) and W (a, b; ā, b) algebras are deformations of bms 3 and bms 4 algebra respectively. We present an N = 2 supersymmetric extension of W (a, b) and W (a, b; ā, b) algebra in presence of R−symmetry generators that rotate the two supercharges. For W (a, b)our construction includes most generic central extensions of the algebra. In particular we find that N = 2 bms 3 algebra admits a new central extension that has so far not been reported in the literature. For W (a, b; ā, b), we find that an infinite U (1) V × U (1) A extension of the algebra is not possible with linear and quadratic structure constants for generic values of the deformation parameters. This implies a similar constraint for U (1) V × U (1) A extension of N = 2 bms 4 algebra.

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Null boundary phase space: slicings, news and memory

Cited by 7 publications

References 37 publications

Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

A general framework for gravitational charges and holographic renormalization

Supersymmetrization of deformed BMS algebras

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