https://doi.org/10.1140/epjp/s13360-024-05430-6
Regular Article
BRST construction for infinite spin field on 
1
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
2
Department of Theoretical Physics, Tomsk State Pedagogical University, 634041, Tomsk, Russia
3
National Research Tomsk State University, Lenin Av. 36, 634050, Tomsk, Russia
4
Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
Received:
8
June
2024
Accepted:
4
July
2024
Published online:
16
July
2024
We generalize the first-class constraints that describe the infinite spin irreducible 4D Poincaré group representation in flat space to new first-class constraints in space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators which are two-component spinors. As a result, we obtain a new closed gauge algebra on with the known flat space limit. Using this gauge algebra, we construct the BRST charge and derive the Lagrangian and gauge transformations for free bosonic infinite spin field theory in space.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
