Perturbative analysis in higher-spin theories

Abstract

A new scheme of the perturbative analysis of the nonlinear HS equations is developed giving directly the final result for the successive application of the homotopy integrations which appear in the standard approach. It drastically simplifies the analysis and results from the application of the standard spectral sequence approach to the higher-spin covariant derivatives, allowing us in particular to reduce multiple homotopy integrals resulting from the successive application of the homotopy trick to a single integral. Efficiency of the proposed method is illustrated by various examples. In particular, it is shown how the Central on-shell theorem of the free theory immediately results from the nonlinear HS field equations with no intermediate computations.

20 pages, V3: typos corrected, references and acknowledgement added, normalization of AdS background 1-forms changed; version to appear in JHEP

References in corpus (4)

• Higher Spins in AdS and Twistorial Holography
• One Loop Tests of Higher Spin AdS/CFT
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields

Cited by in corpus (9)

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• Current Interactions and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations
• Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
• Fronsdal fields from gauge functions in Vasiliev's higher-spin gravity
• Charges in nonlinear higher-spin theory
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• On $z$-dominance, shift symmetry and spin locality in higher-spin theory
• Lorentz covariant form of extended higher-spin equations