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arXiv · 2506.09869

Off-shell double copy theories in BV

Maor Ben-Shahar·Francesco Bonechi·Maxim Zabzine
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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.

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Maor Ben-Shahar, Francesco Bonechi, Maxim Zabzine. 2025-06-11. Off-shell double copy theories in BV. https://arxiv.org/abs/2506.09869

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