Aspects of Conformal Gravity and Double Field Theory from a Double Copy Map

TL;DR

This paper extends the double copy construction in Double Field Theory to include higher-derivative terms, linking a four-derivative Yang-Mills extension to conformal gravity within the DFT framework.

Contribution

It introduces a four-derivative Yang-Mills extension and constructs its double copy in double space, connecting it to conformal gravity and exploring conformal symmetry in DFT.

Findings

Double copy of four-derivative Yang-Mills yields conformal gravity in DFT.

The resulting theory reduces to conformal gravity at quadratic order.

Highlights the role of conformal symmetry in double space formulations.

Abstract

Double Field Theory (DFT) can be constructed as the double copy of a Yang-Mills theory. In this work we extend this statement by including higher-derivative terms. Starting from a four-derivative extension of Yang-Mills whose double copy is known to correspond to a conformal-gravity theory, we obtain a four-derivative theory formulated in double space, which in the pure gravity limit reduces to conformal gravity at quadratic order. This result reveals important aspects for the study of conformal symmetry in the context of DFT through double copy maps.