Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity

TL;DR

This paper develops a supersymmetric extension of double field theory that incorporates T-duality and local Lorentz symmetries, providing a string-inspired reformulation of ten-dimensional supergravity.

Contribution

It introduces a supersymmetric double field theory with manifest T-duality and local Lorentz symmetries, unifying supergravity and stringy geometric structures.

Findings

Constructed a supersymmetric action with five terms including fermions and bosons.

Achieved manifest O(10,10) T-duality and local Lorentz symmetries.

Reduced to minimal supergravity via gauge fixing.

Abstract

We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms -- two bosonic plus three fermionic -- and manifests not only diffeomorphism and one-form gauge symmetry of B-field, but also O(10,10) T-duality as well as a direct product of two local Lorentz symmetries, SO(1,9) \times SO(9,1). A gauge fixing that identifies the double local Lorentz groups reduces our action to the minimal supergravity in ten dimensions.