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

Wiseman, Toby; Withers, Benjamin

J. High Energy Phys. 2008, No. 10, Paper No. 037, 26 p. (2008).

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.

MSC:

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

Keywords:

holographic renormalization; coincident D\(p\)-branes; decoupling limit