A double copy map from two Yang-Mills theories around background gauge fields yields the double field theory action on an arbitrary constant background, up to third order.
Towards the Double Copy Formulation for the Abelian Sector of Heterotic Double Field Theory
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abstract
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 + \phi^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.
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Double Copy Map for Double Field Theory on an Arbitrary Constant Background
A double copy map from two Yang-Mills theories around background gauge fields yields the double field theory action on an arbitrary constant background, up to third order.