Uniformizing higher-spin equations

Abstract

Vasiliev's higher-spin theories in various dimensions are uniformly represented as a simple system of equations. These equations and their gauge invariances are based on two superalgebras and have a transparent algebraic meaning. For a given higher-spin theory these algebras can be inferred from the vacuum higher-spin symmetries. The proposed system of equations admits a concise AKSZ formulation. We also discuss novel higher-spin systems including partially-massless and massive fields in AdS, as well as conformal and massless off-shell fields.

29 pages, references added, final version

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Cited by in corpus (21)

• Partially Massless Fields During Inflation
• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• Shapes of gravity: Tensor non-Gaussianity and massive spin-2 fields
• Free box^k Scalar Conformal Field Theory
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Shift Symmetries in (Anti) de Sitter Space
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• New Conformal Higher Spin Gravities in $3d$
• Type-B Formal Higher Spin Gravity
• Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
• Partially Massless Graviton on Beyond Einstein Spacetimes
• On the (A)dS Decoupling Limits of Massive Gravity
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• Fermionic Shift Symmetries in (Anti) de Sitter Space