Towards the Double Copy Formulation for the Abelian Sector of Heterotic Double Field Theory

It has been shown that double field theory (DFT) action can be constructed in a perturbative manner up to cubic order by using double copy of Yang-Mills. This construction can also be extended by starting with higher-derivative Yang-Mills theory to obtain higher-derivative DFT action. In this work, we extend this classical double copy formulation to the Abelian subsector of heterotic DFT, starting with a Yang-Mills theory that includes a charged scalar field, namely (Y M + φ^3) theory. The action we constructed by a double copy procedure exactly matches with the Abelian sector of heterotic DFT action up to cubic order.