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Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space

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arxiv hep-th/0608005 v3 pith:P6WZWAZG submitted 2006-08-01 hep-th

classification hep-th
keywords spinbosonicfieldsspacebrstgaugehigherlagrangian
verification ladder T0 review T1 audit T2 compute T3 formal

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We develop the BRST approach to Lagrangian construction for the massive integer higher spin fields in an arbitrary dimensional AdS space. The theory is formulated in terms of auxiliary Fock space. Closed nonlinear symmetry algebra of higher spin bosonic theory in AdS space is found and method of deriving the BRST operator for such an algebra is proposed. General procedure of Lagrangian construction describing the dynamics of bosonic field with any spin is given on the base of the BRST operator. No off-shell constraints on the fields and the gauge parameters are used from the very beginning. As an example of general procedure, we derive the Lagrangians for massive bosonic fields with spin 0, 1 and 2 containing total set of auxiliary fields and gauge symmetries.

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Cited by 4 Pith papers

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

  1. More on unconstrained descriptions of Higher Spin Massless Particles

    hep-th 2025-01 conditional novelty 7.0 of 10

    A two-field local action for free massless higher-spin particles is proposed, reducing the auxiliary field content by promoting a Lagrange multiplier to a Weyl gauge symmetry.

  2. 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.

  3. 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.

  4. 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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