Dilatonic Parallelizable NS-NS Backgrounds

TL;DR

This paper classifies all dilatonic parallelizable NS-NS backgrounds in type II supergravity, extending previous work, and finds that all such backgrounds preserve sixteen supersymmetries.

Contribution

It completes the classification of parallelizable NS-NS backgrounds by including the dilatonic case and analyzes their supersymmetry properties.

Findings

All dilatonic parallelizable backgrounds have sixteen supersymmetries

Extended the classification to include dilaton effects

Confirmed supersymmetry preservation in these backgrounds

Abstract

We complete the classification of parallelizable NS-NS backgrounds in type II supergravity by adding the dilatonic case to the result of Figueroa-O'Farrill on the non-dilatonic case. We also study the supersymmetry of these parallelizable backgrounds. It is shown that all the dilatonic parallelizable backgrounds have sixteen supersymmetries.