Absorption and Hawking radiation of minimal and fixed scalars, and AdS/CFT correspondence

Abstract

We present a complete derivation of absorption cross section and Hawking radiation of minimal and fixed scalars from the Strominger-Vafa model of five-dimensional black hole, starting right from the moduli space of the Dl-D5 brane system. We determine the precise coupling of this moduli space to bulk modes by using the AdS/CFT correspondence. Our methods resolve a long-standing problem regarding emission of fixed scalars. We calculate three-point correlators of operators coupling to the minimal scalars from supergravity and from SCFT, and show that both vanish. We make some observations about how the AdS/SYM correspondence implies a close relation between large-N equations of motion of d-dimensional gauge theory and supergravity equations on AdSd+l-type backgrounds. We compare with the explicit non-local transform relating one and two dimensions in the context of c = 1 matrix model.