Unlocking the Axion-Dilaton in 5D Supergravity

TL;DR

This paper classifies supersymmetric solutions in 5D supergravity with a focus on axion-dilaton fields, extending previous classifications to include rotational symmetries and exploring solutions relevant to microstate geometries.

Contribution

It extends the classification of supersymmetric solutions in 5D supergravity to include rotational Killing vectors and analyzes solutions with axion-dilaton fields, especially those related to M2-brane backreaction.

Findings

Extended classification of solutions with rotational symmetry

Identified geometrical structures of axion-dilaton fibrations

Discussed microstate geometries from M2-brane backreaction

Abstract

We revisit supersymmetric solutions to five dimensional ungauged N=1 supergravity with dynamic hypermultiplets. In particular we focus on a truncation to the axion-dilaton contained in the universal hypermultiplet. The relevant solutions are fibrations over a four-dimensional Kahler base with a holomorphic axion-dilaton. We focus on solutions with additional symmetries and classify Killing vectors which preserve the additional structure imposed by supersymmetry; in particular we extend the existing classification of solutions with a space-like U(1) isometry to the case where the Killing vector is rotational. We elaborate on general geometrical aspects which we illustrate in some simple examples. We especially discuss solutions describing the backreaction of M2-branes, which for example play a role in the black hole deconstruction proposal for microstate geometries.