Global charges in Chern-Simons field theory and the (2+1) black hole

Banados, Maximo

doi:10.1103/PhysRevD.52.5816

Global charges in Chern-Simons field theory and the (2+1) black hole

Maximo Banados
(
- Imperial Coll., London and
- CECS, Valdivia
)

May 30, 1994

30 pages

Published in:

Phys.Rev.D 52 (1996) 5816-5825

e-Print:

hep-th/9405171 [hep-th]

DOI:

10.1103/PhysRevD.52.5816

Report number:

IMPERIAL-TP-93-94-40

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Abstract:

We show that the relation between gauge transformations and diffeomorphisms in Chern-Simons theory is closely related to the Sugawara construction. In addition, a detailed analysis of boundary conditions reveals that the canonical realisation of the symmetries at the boundary contains non-zero central charges. These central charges are shifted at the quantum level by normal ordering central terms. A possible arena for studing the extension of some of these results to higher dimensional Chern-Simons theories is presented.

black hole
dimension: 3
gauge field theory
Chern-Simons term
charge
boundary condition
algebra: affine
algebra: Virasoro
entropy
gravitation: SO(2,2)

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Figures(0)

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