paper

On current contribution to Fronsdal equations

arXiv:1706.04605 · doi:10.1016/j.physletb.2018.01.019

Abstract

We explore a local form of second-order Vasiliev equations proposed in [arXiv:1706.03718] and obtain an explicit expression for quadratic corrections to bosonic Fronsdal equations, generated by gauge-invariant higher-spin currents. Our analysis is performed for general phase factor, and for the case of parity-invariant theory we find the agreement with expressions for cubic vertices available in the literature. This provides an additional indication that field redefinition proposed in [arXiv:1706.03718] is the proper one.

15 pages. V3: typos corrected; references added; Introduction extended. To appear in Physics Letters B