What question did this study set out to answer?

The aim is to compute gauge invariant quartic interactions between reducible massive and massless higher spin fields.

BRST methods for constructing quartic actions for spinning black holes

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BRST methods demonstrate gauge invariant quartic interactions in massless higher spin fields, implying advances in black hole scattering theory.

The aim is to compute gauge invariant quartic interactions between reducible massive and massless higher spin fields.
Developed a systematic BRST approach to quartic interactions.
Obtained constraints for off-shell quartic vertices ensuring gauge invariance.
Reduced general equations to on-shell versions to simplify the problem.
Presented solutions for off-shell and on-shell quartic vertices.
Identified low spin examples relevant to black hole scattering.

Lang et al. (2026) studied this question.

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BRST methods demonstrate gauge invariant quartic interactions in massless higher spin fields, implying advances in black hole scattering theory.