Cohomology of arbitrary spin currents in \(\text{AdS}_3\)

DOI10.1007/BF02551048zbMath0968.81064arXivhep-th/9907020OpenAlexW2060592678MaRDI QIDQ1592152

S. F. Prokushkin, M. A. Vasiliev

Publication date: 17 September 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9907020

zbMATH Keywords

cohomology groupsholography2-forms dual to the conserved currentscomplex of currentsinfinite expansions in higher derivativesinteger or half-integer spininverse powers of the cosmological constantmassless scalar and spinor fields

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45)

Related Items (11)

Topologically massive higher spin gauge theories ⋮ Star-product functions in higher-spin theory and locality ⋮ Higher spins and matter interacting in dimension three ⋮ Formal higher-spin theories and Kontsevich-Shoikhet-Tsygan formality ⋮ Characteristic cohomology and observables in higher spin gravity ⋮ Formal higher spin gravities ⋮ Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions ⋮ A note on field redefinitions and higher-spin equations ⋮ On current contribution to Fronsdal equations ⋮ On the non-local obstruction to interacting higher spins in flat space ⋮ From Coxeter higher-spin theories to strings and tensor models

Cites Work

• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Theory of higher spin tensor currents and central charges
• Higher-spin gauge interactions for massive matter fields in \(3\)D AdS space-time
• EQUATIONS OF MOTION FOR d=3 MASSLESS FIELDS INTERACTING THROUGH CHERN-SIMONS HIGHER-SPIN GAUGE FIELDS
• Conformal Maxwell theory as a singleton field theory on AdS , IIB 3-branes and duality
• On the gravitational interaction of massless higher-spin fields

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