On T-folds, G-structures and Supersymmetry

TL;DR

This paper develops a method to determine the amount of supersymmetry preserved in supergravity theories compactified on T-folds, extending G-structure techniques to non-geometric backgrounds, and applies it to specific massive supergravities.

Contribution

It introduces a modified approach to calculate supersymmetry in non-geometric compactifications using G-structures, applied to T-folds and massive supergravities.

Findings

Calculated supersymmetry for specific T-fold compactifications

Extended G-structure methods to non-geometric backgrounds

Identified supersymmetry levels in certain massive supergravities

Abstract

We describe how to calculate the amount of supersymmetry associated to a class of supergravity theories obtained by compactification on T-folds. We illustrate our discussion by calculating the degree of supersymmetry enjoyed by a particular set of massive supergravities which have been obtained in the literature by compactifying type II supergravity on such backgrounds. Our discussion involves a modification of the usual arguments, based upon G-structures, for the amount of supersymmetry preserved by geometric compactifications.