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Lagrangian formulation of the massless higher integer spin fields in the AdS background

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arxiv hep-th/0109067 v2 pith:PWAU7JTD submitted 2001-09-07 hep-th

I.L.Buchbinder , A.Pashnev , M. Tsulaia This is my paper · ORCID
classification hep-th
keywords spacealgebraintegermasslessspinanti-dearbitrarybackground
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abstract

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions for irreducible unitary massless representations of the D-dimensional anti-de Sitter group are formulated. Unlike flat space, the algebra of the constraints turns out to be nonlinear and analogous to the $W_3$ algebra. We construct the nilpotent BRST charge for this nonlinear algebra and derive on its basis the correct field content and gauge invariant action describing the consistent arbitrary integer spin field dynamics in $AdS$ space.

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Cited by 3 Pith papers

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

  1. 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.

  2. 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.

  3. 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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