On rigidity of 3d asymptotic symmetry algebras

Parsa, Amir Farahmand; Safari, H. R.; Sheikh-Jabbari, M. M.

doi:10.1007/jhep03(2019)143

Cited by 20 publications

(12 citation statements)

References 94 publications

(200 reference statements)

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“…For D = 3, the algebra (IV.5) for s = 0 agrees with the one found in [52,69] while for s = 1 it is the BMS 3 algebra [98,99]. For generic s it is the W (0, −s) algebra [100,101], where the supertranslations are generators with conformal weight h = s + 1.…”

Section: Bms-like Symmetriessupporting

confidence: 65%

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Spacetime Structure near Generic Horizons and Soft Hair

et al. 2020

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We explore the spacetime structure near non-extremal horizons in any spacetime dimension greater than two and discover a wealth of novel results: 1. Different boundary conditions are specified by a functional of the dynamical variables, describing inequivalent interactions at the horizon with a thermal bath. 2. The near horizon algebra of a set of boundary conditions, labeled by a parameter s, is given by the semi-direct sum of diffeomorphisms at the horizon with "spin-s supertranslations". For s = 1 we obtain the first explicit near horizon realization of the Bondi-Metzner-Sachs algebra. 3. For another choice, we find a non-linear extension of the Heisenberg algebra, generalizing recent results in three spacetime dimensions. This algebra allows to recover the aforementioned (linear) ones as composites. 4. These examples allow to equip not only black holes, but also cosmological horizons with soft hair. We also discuss implications of soft hair for black hole thermodynamics and entropy.

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Section: Bms-like Symmetriessupporting

confidence: 65%

“…For s = 1 the algebra (A.2) coincides with the standard (non-centrally extended) BMS 3 algebra [98,99], while for s = 0 the algebra (A.2) reduces to the one in [52]. For generic s, the algebra (A.2) is W (0, −s) [100,101] which may be obtained as algebraic deformation of BMS 3 [101].…”

Section: Comments and Further Developmentsmentioning

confidence: 99%

Spacetime Structure near Generic Horizons and Soft Hair

et al. 2020

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“…In the terminology used in [47], it is W (0, 0) algebra. This algebra was found as near horizon symmetry algebra of 3d black holes [17] (see also [28]).…”

Section: Jhep10(2020)107mentioning

confidence: 99%

Symmetries at null boundaries: two and three dimensional gravity cases

Adami

Sheikh-Jabbari

Taghiloo

et al. 2020

J. High Energ. Phys.

168

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We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively two and three charges which are generic functions over the codimension one null surface. The integrability of charges and their algebra depend on the state-dependence of symmetry generators which is a priori not specified. We establish the existence of infinitely many choices that render the surface charges integrable. We show that there is a choice, the “fundamental basis”, where the null boundary symmetry algebra is the Heisenberg⊕Diff(d − 2) algebra. We expect this result to be true for d > 3 when there is no Bondi news through the null surface.

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“…66) and(3.67), define the group operation of the Maxwell-BMS 3 group through eq.(4.7). The Lie algebra maxwell-bms 3 = vect S 1 i ad vect S 1 (ab) ext (4.29) JHEP10(2019)039 defines a Maxwell extensions of the bms 3 algebra, whose bracket is defined by eq.…”

mentioning

confidence: 99%

“…For a detailed analysis of the rigidity and stability of the bms algebra in three and four dimensions based on their semi-direct sum structure, see[66,67].…”

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confidence: 99%

The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements

Salgado-Rebolledo

2019

J. High Energ. Phys.

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The Maxwell group in 2+1 dimensions is given by a particular extension of a semi-direct product. This mathematical structure provides a sound framework to study different generalizations of the Maxwell symmetry in three space-time dimensions. By giving a general definition of extended semi-direct products, we construct infinite-dimensional enhancements of the Maxwell group that enlarge the ISL(2, R) Kac-Moody group and the BMS 3 group by including non-commutative supertranslations. The coadjoint representation in each case is defined, and the corresponding geometric actions on coadjoint orbits are presented. These actions lead to novel Wess-Zumino terms that naturally realize the aforementioned infinite-dimensional symmetries. We briefly elaborate on potential applications in the contexts of three-dimensional gravity, higher-spin symmetries, and quantum Hall systems.

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On rigidity of 3d asymptotic symmetry algebras

Cited by 20 publications

References 94 publications

Spacetime Structure near Generic Horizons and Soft Hair

Spacetime Structure near Generic Horizons and Soft Hair

Symmetries at null boundaries: two and three dimensional gravity cases

The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements

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