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

2001/09/30 by I. L. Buchbinder, A. Pashnev, Mirian Tsulaia +1 · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)01268-0

published as Phys.Lett.B523:338-346,2001 · 14 pages, LaTeX, references added

arxiv created 2001/10/07 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 W₃ 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.

Citations

• A generating formulation for free higher spin massless fields
• On Massive High Spin Particles in (A)dS

Cited by

• Geometric massive higher spins and current exchanges
• Lagrangian formulation for free mixed-symmetry bosonic gauge fields in (A)dSd
• Higher Spin Superalgebras in any Dimension and their Representations
• (A)dS exchanges and partially-massless higher spins
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Massive gauge-invariant field theories on spaces of constant curvature
• Unconstrained higher spins of mixed symmetry I. Bose fields
• Frame-like action and unfolded formulation for massive higher-spin fields
• Parent form for higher spin fields on anti-de Sitter space
• Light-cone gauge approach to arbitrary spin fields, currents and shadows