Topological Fields in $4d$ Higher Spin Theory

Abstract

The equations for topological fields in the $4d$ higher spin theory are considered. It is shown that these fields contain a finite number of degrees of freedom that justifies their naming. The issue of construction of gauge invariant functionals is addressed, and a gauge-invariant cubic action is constructed for the interacting physical and topological higher spin fields.

arXiv comment18 pages, some clarifications and references added, calculations in Appendix B corrected, matches the published version

References in corpus (15)

• Gauge Theory Correlators from Non-Critical String Theory
• AdS Dual of the Critical O(N) Vector Model
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Higher Spins in AdS and Twistorial Holography
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• String Theory as a Higher Spin Theory
• Star-Product and Massless Free Field Dynamics in $Ad{S}_4$
• Free Field Dynamics in the Generalized AdS (Super)Space
• From Coxeter Higher-Spin Theories to Strings and Tensor Models
• Basic introduction to higher-spin theories
• Gauge invariants and Killing tensors in higher-spin gauge theories
• Charges in nonlinear higher-spin theory
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
• Linearized Coxeter Higher-Spin Theories