Theoretical Physics
Localization of the action in AdS/CFT
byPietro Benetti Genolini
Abstract:I will introduce a simple formula for the action of supersymmetric solutions to minimal gauged supergravity in the context of the AdS/CFT correspondence. Such solutions are equipped with a Killing vector, and I will show that the holographically renormalized action may be expressed entirely in terms of the weights of this vector field at its fixed points, together with certain topological data. In this sense, the classical gravitational partition function localizes in the bulk, and depends only on the topology of the fixed point set.
Keywords:
AdS/CFT correspondence, Supergravity Models, Supersymmetric Gauge Theory.
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