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

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arxiv 2503.10967 v3 pith:37MYGZRD submitted 2025-03-14 hep-th

M. A. Vasiliev This is my paper · ORCID
classification hep-th
keywords constantscouplingformalismgaugehigher-spinbosonicbrstequations
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.

  2. Unfolded hypermultiplet in harmonic superspace

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    A single unfolded first-order system reproduces the massless hypermultiplet in harmonic, N=2, N=1, and Minkowski formulations.

  3. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 conditional novelty 6.5 of 10

    A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.

  4. General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds

    hep-th 2026-06 unverdicted novelty 6.5 of 10

    Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.

  5. On consistency of the interacting (anti)holomorphic higher-spin sector

    hep-th 2025-05 conditional novelty 6.0 of 10

    A. V. Korybut proves that Didenko's generating system for (anti)holomorphic higher-spin vertices is dx-consistent despite the failure of the Leibniz rule, using new star-exchange-like identities for the limiting star product.

  6. Preface to Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser

    hep-th 2025-09 unverdicted

    An editorial preface, not a research paper: it tributes Stanley Deser and catalogues the special issue's contributed articles in four thematic areas.

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