The Holographic Ward identity: Examples from 2+1 gravity

Details The Holographic Ward identity: Examples from 2+1 gravity The Holographic Ward identity: Examples from 2+1 gravity

2004-11-04

arxiv.org/abs/hep-th/0411060v2

JHEP0412:036,2004

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures, plain Latex

Scientific paper

10.1088/1126-6708/2004/12/036

In the AdS/CFT correspondence the boundary Ward identities are encoded in the bulk constraints. We study the three-dimensional version of this result using the Chern-Simons formulation of gravity. Due the metric boundary conditions the conformal identities cannot be derived in a straightforward way from the chiral ones. We pay special attention to this case and find the necessary modifications to the chiral currents in order to find the two Virasoro operators. The supersymmetric Ward identities are studied as well.

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