Double Field Theory at SL(2) angles

TL;DR

This paper develops an extended field theory that encodes the full SL(2) x O(6,6+n) duality group of four-dimensional half-maximal supergravities, including non-Abelian interactions, fluxes, and moduli stabilization techniques.

Contribution

It introduces a new extended field theory framework with section constraints that unify different supergravity theories and demonstrates how to generate gaugings with non-trivial de Roo-Wagemans angles.

Findings

Captures full duality group of supergravities

Relates to heterotic double field theory

Enables moduli stabilization via gaugings

Abstract

An extended field theory is presented that captures the full SL(2) x O(6,6+n) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two inequivalent solutions correspond to minimal D=10 supergravity and chiral half-maximal D=6 supergravity, respectively coupled to vector and tensor multiplets. The relation with O(6,6+n) (heterotic) double field theory is thoroughly discussed. Non-Abelian interactions as well as background fluxes are captured by a deformation of the generalised diffeomorphisms. Finally, making use of the SL(2) duality structure, it is shown how to generate gaugings with non-trivial de Roo-Wagemans angles via generalised Scherk-Schwarz ansaetze. Such gaugings allow for moduli stabilisation including the SL(2) dilaton.