Wrapped fluxbranes

TL;DR

This paper explores the construction of fluxbranes in curved geometries, extending known flat space solutions, and examines their properties, supersymmetry, and dualities, revealing new insights into fluxbrane configurations.

Contribution

It introduces new fluxbrane solutions in curved spaces, generalizing flat space constructions and analyzing their supersymmetry and duality properties.

Findings

Several explicit supersymmetric fluxbrane solutions in curved geometries.

Flux periodicity inherited from flat space fluxbranes.

Type IIA/0A fluxbrane duality holds near the core but not asymptotically.

Abstract

We consider the construction of fluxbranes in certain curved geometries, generalizing the familiar construction of the Melvin fluxtube as a quotient of flat space. The resulting configurations correspond to fluxbranes wrapped on cycles in curved spaces. The non-trivial transverse geometry leads in some instances to solutions with asymptotically constant dilaton profiles. We describe explicitly several supersymmetric solutions of this kind. The solutions inherit some properties from their flat space cousins, like flux periodicity. Interestingly type IIA/0A fluxbrane duality holds near the core of these fluxbranes, but does not persist in the asymptotic region, precisely where it would contradict perturbative inequivalence of IIA/0A theories.