Brane intersections, anti-de Sitter spacetimes and dual superconformal theories

TL;DR

This paper constructs intersecting brane solutions with AdS and sphere geometries, showing supersymmetry enhancement and proposing dual superconformal field theories with large N=4 symmetry, relevant for understanding gauge/gravity duality.

Contribution

It introduces a new class of intersecting brane solutions with specific horizon geometries and explores their supersymmetry and dual field theory descriptions.

Findings

Solutions exhibit supersymmetry enhancement near the horizon

Dual theories are two-dimensional superconformal field theories with large N=4 algebra

Connections between solutions are established through waves and monopoles

Abstract

We construct a class of intersecting brane solutions with horizon geometries of the form adS_k x S^l x S^m x E^n. We describe how all these solutions are connected through the addition of a wave and/or monopoles. All solutions exhibit supersymmetry enhancement near the horizon. Furthermore we argue that string theory on these spaces is dual to specific superconformal field theories in two dimensions whose symmetry algebra in all cases contains the large N=4 algebra A_{gamma}. Implications for gauged supergravities are also discussed.