Quadratic α′-corrections to heterotic double field theory

We investigate alpha'-corrections of heterotic double field theory up to quadratic order in the language of supersymrnetric 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'. (C) 2015 The Author. Published by Elsevier B.V.