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Moynihan, Nathan

Massive covariant colour-kinematics in 3D. (English) Zbl 07877610

J. High Energy Phys. 2024, No. 5, Paper No. 310, 17 p. (2024).
Summary: We explore topologically massive gauge theories using the covariant colour kinematics duality recently introduced in [C. Cheung and J. Mangan, J. High Energy Phys. 2021, No. 11, Paper No. 69, 46 p. (2021; Zbl 1521.81253)]. 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.

Cited in 3 Documents

MSC:

81-XX Quantum theory

Keywords:

Chern-Simons theories; classical theories of gravity; field theories in lower dimensions; scattering amplitudes

Citations:

Zbl 1521.81253

Software:

xAct
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Full Text: DOI arXiv
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References:

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