Supergravity description of spacetime instantons

TL;DR

This paper explores BPS instanton solutions in type II string theory compactified on Calabi-Yau threefolds, using supergravity techniques and the c-map to generate solutions from black holes and Taub-NUT geometries.

Contribution

It introduces a method to construct spacetime instantons in N=2 supergravity via the c-map, linking black hole and Taub-NUT solutions to instantons.

Findings

Constructed explicit BPS instanton solutions.

Demonstrated the use of the c-map for instanton generation.

Connected instantons to known black hole and Taub-NUT geometries.

Abstract

We present and discuss BPS instanton solutions that appear in type II string theory compactifications on Calabi-Yau threefolds. From an effective action point of view these arise as finite action solutions of the Euclidean equations of motion in four-dimensional N=2 supergravity coupled to tensor multiplets. As a solution generating technique we make use of the c-map, which produces instanton solutions from either Euclidean black holes or from Taub-NUT like geometries.