Field theory limit of branes and gauged supergravities

TL;DR

This paper explores the field theory limit of Dp-branes, showing how their solutions relate to conformal AdS spaces and gauged supergravities, providing insights into holographic dualities and the UV/IR connection.

Contribution

It introduces the dual frame where the Dp-brane solutions are conformal to AdS spaces and connects these to gauged supergravities with domain-wall solutions.

Findings

The black Dp-brane solution approaches a conformal AdS space in the field theory limit.

The dual frame simplifies the holographic interpretation of Dp-branes.

Near-horizon Dp-branes correspond to domain-wall solutions in gauged supergravity.

Abstract

We discuss the field theory limit of Dp-branes. In this limit, the black Dp-brane solution approaches a solution which is conformal to adS_{p+2} \times S^{8-p}. We argue that the frame in which the conformal factor is equal to one, the dual frame, is a `holographic' frame. The radial coordinate of adS_{p+2} provides a UV/IR connection as in the case of the D3 brane. The gravitational description involves gauged supergravities, typically with non-compact gauge groups. The near-horizon Dp-brane solution becomes a domain-wall solution of the latter.