Non-Relativistic Solutions of N=2 Gauged Supergravity

TL;DR

This paper discovers infinite families of supersymmetric solutions in four-dimensional N=2 gauged supergravity, including Lifshitz, Schrödinger, and AdS geometries, with solutions depending on the nature of the gaugings.

Contribution

It provides the first comprehensive classification of supersymmetric Lifshitz, Schrödinger, and AdS solutions in N=2 gauged supergravity with explicit dependence on electric and magnetic gaugings.

Findings

Lifshitz solutions occur with purely electric or magnetic gaugings.

Schrödinger and AdS solutions appear with mixed gaugings.

Some solutions have known higher-dimensional string/M-theory embeddings.

Abstract

We find infinite families of supersymmetric solutions of four dimensional, N=2 gauged supergravity with Lifshitz, Schrodinger and also AdS symmetries. We focus on the canonical example of a single hypermultiplet and a single vector multiplet and find that the spectrum of solutions depends crucially on whether the gaugings are electric or magnetic but to a far milder extent on the strength of the gaugings. For purely electric or purely magnetic gaugings we generically find Lifshitz solutions, while for a mixed gauging we find Schrodinger and AdS solutions. For some of the gaugings the theory has a known lift to string/M-theory thus giving a higher dimensional embedding of our solutions.