A Double Copy of Geometry

TL;DR

This paper extends the color-kinematics duality to nonlinear sigma models with nonsymmetric cosets, establishing a new double copy linking these models to Galileon theories through geometric curvature concepts.

Contribution

It introduces a novel extension of the color-kinematics duality using curvature in field space and demonstrates a new double copy relation to Galileon theories.

Findings

Curvature in field space replaces color in the duality.

The double copy of the nonlinear sigma model yields Galileon theory.

Evidence supports the geometric double copy proposal.

Abstract

We propose an extension of the color-kinematics duality for nonlinear sigma models with nonsymmetric cosets. The role of color is played by curvatures in field space. The duality between curvature and kinematics allows for a new double copy: the double copy of the nonlinear sigma model for nonsymmetric cosets is the general Galileon theory. We provide evidence for this new double copy of geometry.