Most general flat space boundary conditions in three-dimensional Einstein gravity

Grumiller, Daniel; Merbis, Wout; Riegler, Max

doi:10.1088/1361-6382/aa8004

Cited by 93 publications

(122 citation statements)

References 66 publications

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“…Finally, the effect that assuming some a priori gauge like Gaussian null coordinates can reduce the boundary phase space is independent from whether one expands near the horizon or in the asymptotic region. Indeed, a similar effect was observed already in three-dimensional gravity where the assumption of Fefferman-Graham gauge reduces the physical phase space [84,85]. Thus, it seems plausible that also in the context of four-dimensional asymptotically flat gravity standard assumptions like Bondi-gauge can reduce the boundary phase space.…”

Section: Discussionsupporting

confidence: 63%

T-Witts from the horizon

Adami

Grumiller

Sadeghian

et al. 2020

J. High Energ. Phys.

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Expanding around null hypersurfaces, such as generic Kerr black hole horizons, using co-rotating Kruskal-Israel-like coordinates we study the associated surface charges, their symmetries and the corresponding phase space within Einstein gravity. Our surface charges are not integrable in general. Their integrable part generates an algebra including superrotations and a BMS 3 -type algebra that we dub "T-Witt algebra". The non-integrable part accounts for the flux passing through the null hypersurface. We put our results in the context of earlier constructions of near horizon symmetries, soft hair and of the program to semi-classically identify Kerr black hole microstates.

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Section: Discussionsupporting

confidence: 63%

T-Witts from the horizon

Adami

Grumiller

Sadeghian

et al. 2020

J. High Energ. Phys.

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“…In this respect, one should remind that the investigation of fall-off conditions generalizing Brown-Henneaux's was carried in Refs. [37,[43][44][45]. Finding solutions to Einstein's equations obeying these more general asymptotic behaviours, i.e.…”

Section: Resultsmentioning

confidence: 99%

Two-dimensional fluids and their holographic duals

et al. 2019

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We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use Eddington-Finkelstein coordinates, and grant general curved two-dimensional geometries as hosts for hydrodynamics. This requires to handle the conformal anomaly, and the expressions obtained for the reconstructed bulk metrics incorporate non-conformal-fluid data. We also analyze the freedom of choosing arbitrarily the hydrodynamic frame for the description of relativistic fluids, and propose an invariant entropy current compatible with classical and extended irreversible thermodynamics. This local freedom breaks down in the dual gravitational picture, and fluid/gravity correspondence turns out to be sensitive to dissipation processes: the fluid heat current is a necessary ingredient for reconstructing all Bañados asymptotically anti-de Sitter solutions. The same feature emerges for Carrollian fluids, which enjoy a residual frame invariance, and their Barnich-Troessaert locally Minkowski duals. These statements are proven by computing the algebra of surface conserved charges in the fluid-reconstructed bulk threedimensional spacetimes.

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“…This latter encodes in a precise sense the symmetries which govern the gluing of subregions, either as classical phase spaces or as quantum Hilbert spaces [3]. The existence of boundary symmetries and degrees of freedom in gauge field theory is of course not a new topic [18][19][20][21][22][23][24][25]. One natural question is therefore to understand how the boundary symmetry algebras and their generators on the extended phase space are related to the boundary symmetries and observables which have previously been constructed in e.g.…”

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confidence: 99%

Lorentz-diffeomorphism edge modes in 3d gravity

Geiller

2018

J. High Energ. Phys.

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Abstract:The proper definition of subsystems in gauge theory and gravity requires an extension of the local phase space by including edge mode fields. Their role is on the one hand to restore gauge invariance with respect to gauge transformations supported on the boundary, and on the other hand to parametrize the largest set of boundary symmetries which can arise if both the gauge parameters and the dynamical fields are unconstrained at the boundary. In this work we construct the extended phase space for three-dimensional gravity in first order connection and triad variables. There, the edge mode fields consist of a choice of coordinate frame on the boundary and a choice of Lorentz frame on the bundle, which together constitute the Lorentz-diffeomorphism edge modes. After constructing the extended symplectic structure and proving its gauge invariance, we study the boundary symmetries and the integrability of their generators. We find that the infinite-dimensional algebra of boundary symmetries with first order variables is the same as that with metric variables, and explain how this can be traced back to the expressions for the diffeomorphism Noether charge in both formulations. This concludes the study of extended phase spaces and edge modes in three-dimensional gravity, which was done previously by the author in the BF and Chern-Simons formulations.

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Most general flat space boundary conditions in three-dimensional Einstein gravity

Cited by 93 publications

References 66 publications

T-Witts from the horizon

T-Witts from the horizon

Two-dimensional fluids and their holographic duals

Lorentz-diffeomorphism edge modes in 3d gravity

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