Parent form for higher spin fields on anti-de Sitter space

2006/02/28 by Glenn Barnich, Maxim Grigoriev · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th #math.QA

paper · pdf · doi:10.1088/1126-6708/2006/08/013

published as JHEP0608:013,2006 · 39 pages, LaTeX; misprints corrected, references added

arxiv created 2006/04/10 · openalex publication_date 2006/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a first order parent field theory for free higher spin gauge fields on constant curvature spaces. As in the previously considered flat case, both Fronsdal's and Vasiliev's unfolded formulations can be reached by two different straightforward reductions. The parent theory itself is formulated using a higher dimensional embedding space and turns out to be geometrically extremely transparent and free of the intricacies of both of its reductions.

Citations

• Parent Field Theory and Unfolding in BRST First-Quantized Terms
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• Nonlinear higher spin theories in various dimensions
• Homogeneous Fedosov Star Products on Cotangent Bundles II: GNS Representations, the WKB Expansion, and Applications

Cited by

• Lagrangian BRST formulation of massive higher spin fields of generic symmetry type