N=1 Supersymmetric Double Field Theory

TL;DR

This paper develops an N=1 supersymmetric version of double field theory in ten dimensions, incorporating multiple abelian vector multiplets and demonstrating the closure of supersymmetry transformations into generalized diffeomorphisms.

Contribution

It introduces the first N=1 supersymmetric extension of double field theory with arbitrary abelian vector multiplets and shows the supersymmetry algebra closes into generalized diffeomorphisms.

Findings

Constructed the N=1 supersymmetric double field theory in D=10.

Included coupling to an arbitrary number of abelian vector multiplets.

Demonstrated closure of supersymmetry transformations into generalized diffeomorphisms.

Abstract

We construct the N=1 supersymmetric extension of double field theory for D=10, including the coupling to an arbitrary number n of abelian vector multiplets. This theory features a local O(1,9+n) x O(1,9) tangent space symmetry under which the fermions transform. It is shown that the supersymmetry transformations close into the generalized diffeomorphisms of double field theory.