Holographic renormalization for coincident D\(p\)-branes. (English) Zbl 1245.81230

Summary: We consider holographic renormalization for the decoupling limit of coincident D\(p\)-branes with \(p < 3\). 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.


81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81V17 Gravitational interaction in quantum theory
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