Branes and anti-de Sitter spacetimes

TL;DR

The paper explores duality transformations connecting brane configurations to anti-de Sitter spacetimes, revealing dualities with supersingleton field theories and implications for supersymmetry and supergravity in various dimensions.

Contribution

It introduces a method to relate asymptotically flat brane solutions to AdS geometries via harmonic function shifts, establishing new dualities and insights into supersymmetry enhancement.

Findings

Certain branes are dual to supersingleton field theories

Duality transformations relate flat branes to AdS geometries

Implications for supersymmetry enhancement and supergravity theories

Abstract

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original brane configuration which is asymptotically flat to a geometry which is locally isometric to adS_k x E^l x S^m. These results imply that certain branes are dual to supersingleton field theories. We also discuss the implications of our results for supersymmetry enhancement and for supergravity theories in diverse dimensions.