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arXiv · 2110.02209

Massive Covariant Colour-Kinematics in 3D

Nathan Moynihan
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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.

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Nathan Moynihan. 2021-10-05. Massive Covariant Colour-Kinematics in 3D. https://arxiv.org/abs/2110.02209

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