Massive higher-spin fields in 3D can couple to electromagnetic backgrounds via the Bogomolny equation, with g=1/s, obtained by dimensional reduction of 4D higher-spin self-dual Yang-Mills theory.
Massive spin three-half field in a constant electromagnetic background
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Massive higher-spin fields are difficult to introduce consistent interactions, including electromagnetic and gravitational ones which are clearly exhibited by (non-elementary) higher-spin particles in nature. We construct an action that describes consistent interactions of massive spin three-half field with a constant electromagnetic background. We also work out the relation to the chiral approach.
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Electromagnetic Interactions of Massive Higher-Spin Fields in 3D via Chiral Theory
Massive higher-spin fields in 3D can couple to electromagnetic backgrounds via the Bogomolny equation, with g=1/s, obtained by dimensional reduction of 4D higher-spin self-dual Yang-Mills theory.