English

Massive Covariant Colour-Kinematics in 3D

High Energy Physics - Theory 2021-10-06 v1

Abstract

We explore topologically massive gauge theories using the covariant colour kinematics duality recently introduced by Cheung and Mangan. We show that the massive bi-adjoint scalar field is simply related to topologically massive gauge theory by the duality, and that enacting the same duality on the gauge theory produces topologically massive gravity coupled to a scalar or, equivalently, an antisymmetric field. We also show that different choices for the replacement of the colour structure constants with kinematic structure constants lead to different theories, including a topologically massive generalisation of Born-Infeld theory.

Keywords

Cite

@article{arxiv.2110.02209,
  title  = {Massive Covariant Colour-Kinematics in 3D},
  author = {Nathan Moynihan},
  journal= {arXiv preprint arXiv:2110.02209},
  year   = {2021}
}
R2 v1 2026-06-24T06:38:38.705Z