Duality and asymptotic geometries

TL;DR

This paper explores duality transformations in brane configurations, linking asymptotically flat geometries to $adS_k imes E^l imes S^m$ spaces, with implications for supersymmetry, M(atrix) theory, and supergravity.

Contribution

It introduces a series of duality transformations that relate flat brane geometries to $adS$ spaces, enhancing understanding of their asymptotic structures and physical implications.

Findings

Duality transformations induce constant shifts in harmonic functions.

Original asymptotically flat brane configurations can be related to $adS$ geometries.

Implications for supersymmetry enhancement and supergravity theories are discussed.

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 of the type $adS_k \xx E^l \xx S^m$. The implications of our results for supersymmetry enhancement, M(atrix) theory at finite N, and for supergravity theories in diverse dimensions are discussed.