All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets

TL;DR

This paper classifies all lightlike supersymmetric solutions in N=2, D=4 gauged supergravity with abelian vector multiplets, providing explicit examples and constraints for various fractions of preserved supersymmetry.

Contribution

It offers a complete classification of lightlike supersymmetric backgrounds in N=2, D=4 gauged supergravity with explicit examples and new constraints for half-supersymmetric vacua.

Findings

Solutions include gravitational waves on domain walls or bubbles of nothing asymptoting to AdS_4.

Half-supersymmetric vacua satisfy additional geometric constraints.

Identifies four categories of vacua, including bubbles of nothing and pp-waves on domain walls.

Abstract

The lightlike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets are classified using spinorial geometry techniques. The solutions fall into two classes, depending on whether the Killing spinor is constant or not. In both cases, we give explicit examples of supersymmetric backgrounds. Among these BPS solutions, which preserve one quarter of the supersymmetry, there are gravitational waves propagating on domain walls or on bubbles of nothing that asymptote to AdS_4. Furthermore, we obtain the additional constraints obeyed by half-supersymmetric vacua. These are divided into four categories, that include bubbles of nothing which are asymptotically AdS_4, pp-waves on domain walls, AdS_3 x R, and spacetimes conformal to AdS_3 times an interval.