A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)dS_d$
9 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented.
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Derives general BRST-BV Lagrangian for free fields in Poincare AdS, develops constrained and unconstrained versions for massless/massive/partially-massless and continuous-spin fields, and matches to metric-like formulation.
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.
Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.
Edge partition functions for totally symmetric tensors in dS_{d+1} are decomposed under so(d), with the linearized gravity case receiving contributions from shift-symmetric fields on S^{d-1} suggesting an embedded brane interpretation.
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De Sitter Horizon Edge Partition Functions
Edge partition functions for totally symmetric tensors in dS_{d+1} are decomposed under so(d), with the linearized gravity case receiving contributions from shift-symmetric fields on S^{d-1} suggesting an embedded brane interpretation.