Duality Versus Supersymmetry

TL;DR

This paper investigates how S-duality and target-space duality transformations affect supersymmetric configurations in specific theories, showing that dual configurations remain supersymmetric and their Killing spinors transform simply.

Contribution

It demonstrates that under certain assumptions, duality transformations preserve supersymmetry and provides a straightforward description of how Killing spinors transform.

Findings

Dual configurations remain supersymmetric after duality transformations.

Killing spinors transform in a simple, predictable manner.

Duality preserves the supersymmetric nature of the configurations.

Abstract

We study the effect of S-duality and target-space duality tranformations of $N=4,d=4$ and $N=1,d=10$ supersymmetric configurations on their Killing spinors. We find that, under reasonable assumptions, the dual configurations are also supersymmetric and that the Killing spinors transform in a simple way.