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arXiv · 2503.10967

Supersymmetric Higher-Spin Gauge Theories in any $d$ and their Coupling Constants within BRST Formalism

M. A. Vasiliev
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Abstract

Nonlinear field equations for the supersymmetric higher-spin gauge theory describing totally symmetric bosonic and fermionic massless fields along with hook-type bosonic fields of all spins in any space-time dimension are presented. One of the novel features of the proposed formalism is that the $osp(1,2)$ invariance and factorisation conditions are formulated within the BRST formalism, that greatly simplifies the form of nonlinear HS equations. To match the list of vertices found by Metsaev, higher-spin gauge theory is anticipated to possess an infinite number of independent coupling constants. A conjecture that these coupling constants result from the locality restrictions on the elements of the factorisation ideal is put forward.

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M. A. Vasiliev. 2025-03-14. Supersymmetric Higher-Spin Gauge Theories in any $d$ and their Coupling Constants within BRST Formalism. https://arxiv.org/abs/2503.10967

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