Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity

Abstract

We study the finite distance boundary symmetry current algebra of the most general first order theory of 3d gravity. We show that the space of quadratic generators contains diffeomorphisms but also a notion of dual diffeomorphisms, which together form either a double Witt or centreless BMS${}_3$ algebra. The relationship with the usual asymptotic symmetry algebra relies on a duality between the null and angular directions, which is possible thanks to the existence of the dual diffeomorphisms.

arXiv comment5 pages

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Cited by in corpus (9)

• Edge modes as reference frames and boundary actions from post-selection
• Edge modes as dynamical frames: charges from post-selection in generally covariant theories
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• BMS${}_3$ Mechanics and the Black Hole Interior
• Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
• On the Charge Algebra of Causal Diamonds in Three Dimensional Gravity
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Hidden Symmetries in Gravity : Black holes and other minisuperspaces