R7-branes and AdS${}_{\text{9}}$ solutions in type IIB

Abstract

We consider the recently found ${\mathrm{AdS}}_9$ backgrounds in type IIB supergravity. We start by reviewing the solutions in a more convenient set of coordinates, which allows us to explicitly compute a few relevant observables, including the holographic central charge. Subsequently, we study non-supersymmetric 7-brane configurations sourced by the IIB axio-dilaton. We find explicit analytic 7-brane solutions that possess the above ${\mathrm{AdS}}_9$ backgrounds as their near-horizon geometry. Finally, we discuss the relation of these 7-brane solutions to the R7 branes by imposing the reflection monodromy $\tau \to -\bar{\tau }$ in the transverse plane.

17 pages