English

Off-shell color-kinematics duality from codifferentials

High Energy Physics - Theory 2024-12-09 v2 Mathematical Physics math.MP

Abstract

We examine the color-kinematics duality within the BV formalism, highlighting its emergence as a feature of specific gauge-fixed actions. Our goal is to establish a general framework for studying the duality while investigating straightforward examples of off-shell color-kinematics duality. In this context, we revisit Chern-Simons theory as well as introduce new examples, including BF theory and 2D Yang-Mills theory, which are shown to exhibit the duality off-shell. We emphasize that the geometric structures responsible for flat-space color-kinematics duality appear for general curved spaces as well.

Keywords

Cite

@article{arxiv.2409.11484,
  title  = {Off-shell color-kinematics duality from codifferentials},
  author = {Maor Ben-Shahar and Francesco Bonechi and Maxim Zabzine},
  journal= {arXiv preprint arXiv:2409.11484},
  year   = {2024}
}

Comments

v2: typos corrected, refs added

R2 v1 2026-06-28T18:48:16.540Z