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Global Charges in Chern-Simons theory and the 2+1 black hole

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arxiv hep-th/9405171 v2 pith:RYAWRLDK submitted 1994-05-26 hep-th

Maximo Banados This is my paper · ORCID
classification hep-th
keywords boundarychargesglobalchern-simonstheoryvirasoroaffinealgebra
verification ladder T0 review T1 audit T2 compute T3 formal

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We use the Regge-Teitelboim method to treat surface integrals in gauge theories to find global charges in Chern-Simons theory. We derive the affine and Virasoro generators as global charges associated with symmetries of the boundary. The role of boundary conditions is clarified. We prove that for diffeomorphisms that do not preserve the boundary there is a classical contribution to the central charge in the Virasoro algebra. The example of anti-de Sitter 2+1 gravity is considered in detail.

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Cited by 6 Pith papers

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    A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.

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