Double Copy Map for Double Field Theory on an Arbitrary Constant Background

TL;DR

This paper extends the double copy construction of double field theory (DFT) from flat Minkowski space to arbitrary constant backgrounds by starting with Yang-Mills theories around nontrivial gauge fields.

Contribution

It introduces a method to derive DFT actions on constant backgrounds from Yang-Mills theories with nontrivial gauge fields, generalizing previous flat-space results.

Findings

Successfully constructed DFT on constant backgrounds from Yang-Mills theories.

Extended the double copy framework to nontrivial background gauge fields.

Provided a new approach for studying DFT in more general settings.

Abstract

Double field theory (DFT) can be constructed up to third order as the double copy of Yang- Mills theory. In this construction, one starts with Yang-Mills theory on Minkowski space and the resulting DFT action is also defined on Minkowski space. In this work, I extend this double copy procedure to obtain a DFT action on a constant DFT background starting from two Yang-Mills actions constructed around nontrivial background gauge fields on Minkowski space.