Supergravity the DBI Action and Black Hole Physics

TL;DR

This paper explores the connection between gauge theories and supergravity, focusing on the DBI action and black hole physics, and discusses how scaling limits relate these theories and their implications for black hole understanding.

Contribution

It clarifies the scaling limits that relate supergravity solutions to the DBI action and discusses their relevance to black hole physics in various dimensions.

Findings

The scaling limit preserves supergravity solutions and reproduces the DBI action.

In the low energy limit, a relation between conformal field theory and Anti-de Sitter supergravity emerges.

Recent work may shed light on the physics of multi-charged black holes in the dilute gas regime.

Abstract

The assumptions behind the recently conjectured relation between gauge theory and supergravity are elaborated on. It is pointed out that the scaling limit that preserves supergravity solutions, gives the entire DBI action on the gauge theory side, but in the low energy limit the relation between the conformal field theory and Anti-de Sitter supergravity emerges. We also argue that recent work on these issues may help in understanding the physics of five (four) dimensional black hole with three (four) charges in the so-called dilute gas region.