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Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity

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arxiv gr-qc/0501033 v4 pith:OGVKHNA4 submitted 2005-01-10 gr-qc hep-th

classification gr-qchep-th
keywords degreesdiffeomorphismsdynamicsfreedomgravityactionanti-deasymptotic
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In asymptotically anti-de Sitter gravity, diffeomorphisms that change the conformal boundary data can be promoted to genuine physical degrees of freedom. I show that in 2+1 dimensions, the dynamics of these degrees of freedom is described by a Liouville action, with the correct central charge to reproduce the entropy of the BTZ black hole.

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  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

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