A minimal BV action for Vasiliev's four-dimensional higher spin gravity

Abstract

The action principle for Vasiliev's four-dimensional higher-spin gravity proposed recently by two of the authors, is converted into a minimal BV master action using the AKSZ procedure, which amounts to replacing the classical differential forms by vectorial superfields of fixed total degree given by the sum of form degree and ghost number. The nilpotency of the BRST operator is achieved by imposing boundary conditions and choosing appropriate gauge transitions between charts leading to a globally-defined formulation based on a principal bundle.

39 pages, 1 figure. Additional comments in the conclusions

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Cited by in corpus (38)

• The Higher Spin/Vector Model Duality
• One Loop Tests of Higher Spin AdS/CFT
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Higher Spin Gravity Amplitudes From Zero-form Charges
• Higher-Spin Theory and Space-Time Metamorphoses
• TASI Lectures on the Higher Spin - CFT duality
• Partially Massless Higher-Spin Theory
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Flato-Fronsdal theorem for higher-order singletons
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Frame-like Lagrangians and presymplectic AKSZ-type sigma models
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• 4D Higher Spin Gravity with Dynamical Two-Form as a Frobenius--Chern--Simons Gauge Theory
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• Partially Massless Higher-Spin Theory II: One-Loop Effective Actions
• Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
• Fronsdal fields from gauge functions in Vasiliev's higher-spin gravity
• Characteristic Cohomology and Observables in Higher Spin Gravity
• An Action for Matter Coupled Higher Spin Gravity in Three Dimensions
• 2D sigma models and differential Poisson algebras
• Presymplectic AKSZ formulation of Einstein gravity
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• Action principles for higher and fractional spin gravities
• Frobenius-Chern-Simons gauge theory
• Lectures on Higher Spin Holography
• Higher spin fluctuations on spinless 4D BTZ black hole
• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• ABJ Theory in the Higher Spin Limit
• Unfolded Dynamics Approach and Quantum Field Theory
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Quantum Gravity and Causal Structures: Second Quantization of Conformal Dirac Algebras
• 2D Poisson Sigma Models with Gauged Vectorial Supersymmetry
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• Induced Action for Conformal Higher Spins from Worldline Path Integrals