Off-shell double copy theories in BV
High Energy Physics - Theory
2025-06-12 v1 Mathematical Physics
math.MP
Abstract
We present a construction of the double copy for gauge theories that exhibit off-shell color-kinematics duality within the Batalin-Vilkovitsky (BV) formalism. As illustrative examples, we consider the double copies of Chern-Simons theory, four-dimensional BF theory, and two-dimensional Yang-Mills theory, and we discuss possible gravity interpretations for these cases. We formalize the construction and demonstrate that Kodaira-Spencer gravity, K\"ahler gravity, and their generalizations, fit naturally within this framework. In particular, Kodaira-Spencer gravity emerges as a gauge theory describing deformations of generalized complex structures, while the double copy of Chern-Simons theory captures the deformation of the Courant bracket.
Keywords
Cite
@article{arxiv.2506.09869,
title = {Off-shell double copy theories in BV},
author = {Maor Ben-Shahar and Francesco Bonechi and Maxim Zabzine},
journal= {arXiv preprint arXiv:2506.09869},
year = {2025}
}