Quadratic $\alpha'$-Corrections to Heterotic Double Field Theory

TL;DR

This paper develops quadratic order $eta'$-corrections in heterotic double field theory, ensuring supersymmetry is maintained, and introduces a formalism compatible with heterotic supergravity.

Contribution

It constructs supersymmetric quadratic order $eta'$-corrections in heterotic double field theory using a new double-vielbein formalism.

Findings

Supersymmetry is preserved at quadratic $eta'$-order.

A formalism reproducing heterotic supergravity is introduced.

Necessary symmetry modifications are discussed.

Abstract

We investigate $\alpha'$-corrections of heterotic double field theory up to quadratic order in the language of supersymmetric O(D,D+dim G) gauged double field theory. After introducing double-vielbein formalism with a parametrization which reproduces heterotic supergravity, we show that supersymmetry for heterotic double field theory up to leading order $\alpha'$-correction is obtained from supersymmetric gauged double field theory. We discuss the necessary modifications of the symmetries defined in supersymmetric gauged double field theory. Further, we construct supersymmetric completion at quadratic order in $\alpha'$.