Off-shell double copy theories in BV

Fuente: arXiv
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Autori principali: Ben-Shahar, Maor, Bonechi, Francesco, Zabzine, Maxim
Natura: Preprint
Pubblicazione: 2025
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author Ben-Shahar, Maor
Bonechi, Francesco
Zabzine, Maxim
author_facet Ben-Shahar, Maor
Bonechi, Francesco
Zabzine, Maxim
contents 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, Kähler 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_09869
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Off-shell double copy theories in BV
Ben-Shahar, Maor
Bonechi, Francesco
Zabzine, Maxim
High Energy Physics - Theory
Mathematical Physics
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, Kähler 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.
title Off-shell double copy theories in BV
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2506.09869