Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}

TL;DR

This paper systematically derives supersymmetric gauged double field theories in lower dimensions using a twisting method that relaxes the section condition, preserving supersymmetry and gauge symmetries.

Contribution

It introduces a geometric twisting ansatz for deriving gauged double field theories that maintains key features of the semi-covariant formalism even when the section condition is relaxed.

Findings

Successful derivation of gauged DFT with supersymmetry preservation.

Twisting ansatz allows gaugings as deformations of untwisted theories.

Extra conditions ensure Ramond-Ramond gauge symmetry and unbroken supersymmetry.

Abstract

In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the $D=10$ ungauged maximal and half-maximal supersymmetric double field theories constructed previously within the so-called semi-covariant formalism. The twisting ansatz may not satisfy the section condition. Nonetheless, all the features of the semi-covariant formalism, including its complete covariantizability, are still valid after the twist under alternative consistency conditions. The twist allows gaugings as supersymmetry preserving deformations of the $D=10$ untwisted theories after Scherk-Schwarz-type dimensional reductions. The maximal supersymmetric twist requires an extra condition to ensure both the Ramond-Ramond gauge symmetry and the $32$ supersymmetries unbroken.