Higher spin vortical Zilches from Kubo formulae

TL;DR

This paper calculates thermal one-point functions for higher spin Zilch currents in Maxwell theory using Kubo formulas, revealing potential links to anomalies and extending previous spin-specific results.

Contribution

It generalizes the computation of Zilch current responses to vorticity for arbitrary spin using Kubo formalism, suggesting new connections with higher spin anomalies.

Findings

Derived expressions for higher spin Zilch responses to vorticity.

Indicated possible anomaly relations for higher spin currents.

Extended previous spin-specific results to a broader class of currents.

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 \citep{Chernodub:2018era} to any spin and their value suggests a relation with possible anomalies for the higher spin tower of currents.