AdS$_6$ T-duals and AdS$_6 \times S^2$ geometries in Type IIB

TL;DR

This paper explores the T-dual solutions of AdS$_6$ geometries in Type IIB supergravity, extending known solutions to include branes and illustrating the topology of the resulting Riemann surfaces.

Contribution

It extends the classification of AdS$_6$ solutions in Type IIB supergravity to include delocalized branes and provides explicit examples with specific Riemann surface topologies.

Findings

T-dual solutions fit within an extended framework with branes.

Explicit example of an Abelian T-dual with annulus topology.

Connection between T-duality and Riemann surface topology.

Abstract

We summarise the recent results in 1810.08093, where the Type IIB AdS$_6$ solutions T-dual to the Brandhuber-Oz solution to massive Type IIA supergravity are shown to fit within an extension to allow for delocalized 5- and 7-branes of the global AdS$_6 \times S^2$ solutions constructed by D'Hoker, Gutperle and Uhlemann. We show that the Abelian T-dual solution provides an explicit example of a Riemann surface with the topology of an annulus.