Type-B Formal Higher Spin Gravity

Abstract

We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the gauge invariance of the CFT partition function on an arbitrary background for single-trace operators. We also get equations describing propagation of certain mixed-symmetry fields over higher spin flat backgrounds.

47 pages; few corrections

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• Quantum Chiral Higher Spin Gravity
• More on Quantum Chiral Higher Spin Gravity
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• From Coxeter Higher-Spin Theories to Strings and Tensor Models
• Formal Higher Spin Gravities
• Leibniz Gauge Theories and Infinity Structures
• Gauge PDE and AKSZ-type Sigma Models
• Characteristic Cohomology and Observables in Higher Spin Gravity
• Higher-spin symmetry vs. boundary locality, and a rehabilitation of dS/CFT
• Conformal interactions between matter and higher-spin (super)fields
• Higher Spin Gravities and Presymplectic AKSZ Models
• Presymplectic AKSZ formulation of Einstein gravity
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra
• A toy model for background independent string field theory
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: II. Application to partially-massless higher-spin gravities
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
• Induced action for superconformal higher-spin multiplets using SCFT techniques
• Towards Massless Sector of Tensionless Strings on $Ad{S}_5$