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.
A Stringy theory in three dimensions and Massive Higher Spins
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abstract
An example of a consistent theory with massive higher spin fields is constructed in flat space-time of dimension three. The action is written in the light-cone gauge. The theory has certain stringy features, e.g. its spectrum is unbounded in spin and mass, the theory admits Chan-Paton factors. The quartic and the higher tree-level amplitudes vanish, which softens the UV behaviour at the loop level and provides a new mechanism of how massive higher spin states can resolve the Quantum Gravity Problem.
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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.