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BRST construction for infinite spin field on $AdS_4$

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arxiv 2403.14446 v4 pith:UODA5H4F submitted 2024-03-21 hep-th

I.L. Buchbinder , S.A. Fedoruk , A.P. Isaev , V.A. Krykhtin This is my paper · ORCID
classification hep-th
keywords spaceconstraintsgaugeinfinitespinalgebrabrstclass
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abstract

We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincar\'{e} group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators with two-component spinor indices. As a result, we obtain a new closed gauge algebra on $AdS_4$ 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 $AdS_4$ space.

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Cited by 2 Pith papers

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

  1. 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.

  2. On BRST Lagrangian formulation of massless higher spin fields

    hep-th 2024-12 conditional novelty 3.0 of 10

    The paper pedagogically derives the Fronsdal Lagrangian for free massless higher-spin fields in 4D from the BRST Lagrangian written in terms of two-component spin-tensors.

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