Duality and self-dual triplet solutions in Euclidean quantum gravity

TL;DR

This paper explores how self-dual gravitational instanton solutions in Euclidean gravity can be transformed into string theory solutions using target space duality, revealing new dual triplet solutions with varied self-duality properties.

Contribution

It introduces a method to derive string theory instanton solutions from Euclidean gravity triplets via target space duality, expanding the understanding of dual solutions in quantum gravity.

Findings

Dual triplet solutions can be derived from the dual Taub-NUT de Sitter solution.

Some dual solutions are self-dual under certain isometries, but not universally.

The approach links gravitational instantons with string theory via duality transformations.

Abstract

Starting from the self-dual "triplet" of gravitational instanton solutions in Euclidean gravity, we obtain the corresponding instanton solutions in string theory by making use of the target space duality symmetry. These dual triplet solutions can be obtained from the general dual Taub-NUT de Sitter solution through some limiting procedure as in the pure gravity case. The dual gravitational instanton solutions obtained here are self-dual for some cases, with respect to certain isometries, but not always.