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On classification of (self-dual) higher-spin gravities in flat space

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This research reveals infinitely many higher-spin theories in 4D flat space, suggesting local interactions are possible.

Infinitely many higher-spin theories are identified in 4D flat space with complex local interactions.
These theories can feature either finite or infinite spectra of fields and have consistent local dynamics.
The classification approach utilized the holomorphic constraint in the light-cone gauge as described by Metsaev.
This work highlights these theories as consistent subsectors of higher-spin extensions of self-dual Yang-Mills and gravity.

Mattia Serrani (2025) studied this question.

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