Para-Complex Geometry and Gravitational Instantons

TL;DR

This paper classifies supersymmetric gravitational instantons in Euclidean N=2 supergravity with vector multiplets, revealing solutions analogous to stationary black holes in Euclidean space.

Contribution

It provides a complete classification of supersymmetric gravitational instantons in Euclidean N=2 supergravity, including novel solutions resembling Euclidean stationary black holes.

Findings

Classified all supersymmetric gravitational instantons in the theory.

Discovered solutions analogous to stationary black holes in Euclidean space.

Expanded understanding of Euclidean supergravity solutions.

Abstract

We give a complete classification of supersymmetric gravitational instantons in Euclidean N=2 supergravity coupled to vector multiplets. An interesting class of solutions is found which corresponds to the Euclidean analogue of stationary black hole solutions of N=2 supergravity theories.