Holographic renormalization for coincident Dp-branes

Details Holographic renormalization for coincident Dp-branes Holographic renormalization for coincident Dp-branes

2008-07-04

arxiv.org/abs/0807.0755v1

JHEP 0810:037,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures

Scientific paper

10.1088/1126-6708/2008/10/037

We consider holographic renormalization for the decoupling limit of coincident Dp-branes. We truncate the theory to the supergravity sector which is homogeneous on the (8-p)-sphere and carries only RR electric (p+2)-flux, leaving a graviton and two scalar degrees of freedom associated to the dilaton and the sphere radius. We non-linearly construct the asymptotic graviton and dilaton deformations - the analog of the Graham-Fefferman expansion for AdS/CFT - and compute counterterms to give a finite renormalized bulk action and dual one point functions. Restricting to linear deformations we find additional counterterms to include the remaining sphere deformations which strongly deform the asymptotic behaviour.

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