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

Abstract

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.

Revtex, no figures, 26 pages. Important changes introduced. One section added.

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• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
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• Conformal Edge Currents in Chern-Simons Theories
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space
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