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

Understand

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 $\alpha'$.