Lorentz Covariance of the $4d$ Nonlinear Higher-Spin Equations via BRST

Fuente: arXiv
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Auteurs principaux: Gelfond, O. A., Vasiliev, M. A.
Format: Preprint
Publié: 2025
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author Gelfond, O. A.
Vasiliev, M. A.
author_facet Gelfond, O. A.
Vasiliev, M. A.
contents We propose a BRST extension of the higher-spin gauge theory in $AdS_4$ with the BRST operator associated with the local Lorentz symmetry. Our construction supports manifest local Lorentz covariance and is applicable both to any homotopy scheme of the perturbative analysis including the recently proposed differential homotopy and to the variety of further extended higher-spin models in $AdS_3$ and $AdS_4$ with higher differential forms and Coxeter higher-spin algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2509_22852
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lorentz Covariance of the $4d$ Nonlinear Higher-Spin Equations via BRST
Gelfond, O. A.
Vasiliev, M. A.
High Energy Physics - Theory
We propose a BRST extension of the higher-spin gauge theory in $AdS_4$ with the BRST operator associated with the local Lorentz symmetry. Our construction supports manifest local Lorentz covariance and is applicable both to any homotopy scheme of the perturbative analysis including the recently proposed differential homotopy and to the variety of further extended higher-spin models in $AdS_3$ and $AdS_4$ with higher differential forms and Coxeter higher-spin algebras.
title Lorentz Covariance of the $4d$ Nonlinear Higher-Spin Equations via BRST
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.22852