Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions

TL;DR

This paper extends supersymmetry in double field theory by relaxing the strong constraint, demonstrating supersymmetry preservation through generalized Scherk-Schwarz reduction and exploring its relation to gauged double field theory.

Contribution

It introduces a framework where supersymmetry is maintained without the strong constraint via generalized Scherk-Schwarz reduction, linking it to gauged double field theory.

Findings

Supersymmetry is preserved without the strong constraint.

The equivalence between reduced theory and gauged double field theory is established.

Generalized Killing spinor equations are derived.

Abstract

Previous constructions of supersymmetry for double field theory have relied on the so called strong constraint. In this paper, the strong constraint is relaxed and the theory is shown to possess supersymmetry once the generalised Scherk-Schwarz reduction is imposed. The equivalence between the generalised Scherk-Schwarz reduced theory and the gauged double field theory is then examined in detail for the supersymmetric theory. As a byproduct we write the generalised Killing spinor equations for the supersymmetric double field theory.