Absorption and Hawking Radiation of Minimal and Fixed Scalars, and AdS/CFT correspondence

TL;DR

This paper derives the absorption cross-section and Hawking radiation for scalars in a five-dimensional black hole model, clarifies fixed scalar emission, and explores the AdS/CFT correspondence's implications for gauge and gravity theories.

Contribution

It provides a complete derivation of scalar absorption and radiation, resolving fixed scalar emission issues, and links gauge theory equations to supergravity via AdS/CFT correspondence.

Findings

Both supergravity and SCFT three-point correlators vanish for minimal scalars.

The methods resolve longstanding problems in fixed scalar emission.

The paper reveals a close relation between gauge theory equations and supergravity on AdS backgrounds.

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 D1-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 $AdS_{d+1}$-type backgrounds. We compare with the explicit nonlocal transform relating 1 and 2 dimensions in the context of $c=1$ matrix model.