Higher spin vortical zilches from Kubo formulae

Abstract

We compute thermal one-point functions in Maxwell's theory sourced by vorticity for the zilch and its higher spin extensions via the Kubo formalism. This leads to a generalization of the recent results of [M. N. Chernodub, A. Cortijo, and K. Landsteiner, Phys. Rev. D 98, 065016 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.065016] to any spin, and their value suggests a relation with possible anomalies for the higher spin tower of currents.