Abstract
We explore topologically massive gauge theories using the covariant colour kinematics duality recently introduced in [1]. 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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Acknowledgments
NM would like to thank William Emond, Laura Johnson, Donal O’Connell, Jann Zosso and especially Clifford Cheung for very useful discussions on this topic. NM is supported by STFC grant ST/P0000630/1 and the Royal Society of Edinburgh Saltire Early Career Fellowship. Many calculations were done using xAct [87].
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Moynihan, N. Massive covariant colour-kinematics in 3D. J. High Energ. Phys. 2024, 310 (2024). https://doi.org/10.1007/JHEP05(2024)310
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DOI: https://doi.org/10.1007/JHEP05(2024)310