Branes in N=2,D=4 sugra and the conformal field theory limit

TL;DR

This paper reviews brane solutions in 4D N=2 supergravity, explores their dualities, and discusses the conformal field theory description of near-horizon geometries, including matrix limits in M-theory compactifications.

Contribution

It provides a comprehensive summary of brane solutions and their dualities in 4D N=2 supergravity, and analyzes the conformal field theory limit of near-horizon geometries.

Findings

Duality relations among brane solutions in 4D N=2 supergravity.

Conformal field theory description of near-horizon geometries.

Discussion of matrix limits in M-theory on Calabi-Yau threefolds.

Abstract

In this article we summarise the brane solutions (instantons, black holes and strings) in 4 dimensions when embedded in N=2 supergravity. Like in 10 dimensions these solutions are related by duality transformations (T-duality, c-map). For the case that the graviphoton has no magnetic charge, we discuss the conformal field theory description of the near-horizon geometry. The decoupling of the massless modes in the matrix limit of the M-theory compactified on a Calabi-Yau threefold is discussed.