Codimension-2 Solutions in Five-Dimensional Supergravity

TL;DR

This paper introduces a new class of supersymmetric solutions in five-dimensional supergravity featuring multi-center codimension-2 branes, expanding the landscape of known solutions and their implications for black microstate geometries.

Contribution

It generalizes existing multi-center solutions to include codimension-2 branes with non-trivial monodromies, providing explicit examples and exploring their relevance to black microstate geometries.

Findings

Solutions characterized by harmonic functions with monodromies

Explicit examples of codimension-2 center configurations

Discussion on relevance to black microstate program

Abstract

We study a new class of supersymmetric solutions in five-dimensional supergravity representing multi-center configurations of codimension-2 branes along arbitrary curves. Codimension-2 branes are produced in generic situations out of ordinary branes of higher codimension by the supertube effect and, when they are exotic branes, spacetime generally becomes non-geometric. The solutions are characterized by a set of harmonic functions on $\mathbb{R}^3$ with non-trivial monodromies around codimension-2 branch-point singularities. The solutions can be regarded as generalizations of the Bates-Denef/Bena-Warner multi-center solutions with codimension-3 centers to include codimension-2 ones. We present some explicit examples of solutions with codimension-2 centers, and discuss their relevance for the black microstate (non-)geometry program.