Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism

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 tha...

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Main Author: M. A. Vasiliev
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)110
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author M. A. Vasiliev
author_facet M. A. Vasiliev
author_sort M. A. Vasiliev
collection DOAJ
description 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.
format Article
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spelling doaj-art-5194fed7d7cd495e84be335d2ce1ff992025-08-20T03:04:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714710.1007/JHEP07(2025)110Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalismM. A. Vasiliev0I.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteAbstract 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.https://doi.org/10.1007/JHEP07(2025)110Higher Spin GravityHigher Spin Symmetry
spellingShingle M. A. Vasiliev
Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
Journal of High Energy Physics
Higher Spin Gravity
Higher Spin Symmetry
title Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
title_full Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
title_fullStr Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
title_full_unstemmed Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
title_short Supersymmetric higher-spin gauge theories in any d and their coupling constants within BRST formalism
title_sort supersymmetric higher spin gauge theories in any d and their coupling constants within brst formalism
topic Higher Spin Gravity
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP07(2025)110
work_keys_str_mv AT mavasiliev supersymmetrichigherspingaugetheoriesinanydandtheircouplingconstantswithinbrstformalism