Higher-spin fields and charges in the periodic spinor space

TL;DR

This paper explores higher-spin fields and their conserved charges within a periodic spinor space, revealing an infinite-dimensional symmetry algebra and relations between charges via higher-spin transformations.

Contribution

It constructs a complete set of charges in the periodic twistor-like spinor space and demonstrates their relation through higher-spin symmetry transformations.

Findings

Charges form an infinite-dimensional algebra.

Charges related by higher-spin symmetry transformations.

Residual symmetry preserved in periodic spinor space.

Abstract

The $sp(2M)$ invariant unfolded system is considered in the periodic twistor-like spinor space. Complete set of non-trivial charges corresponding to the global symmetry compatible with the periodicity conditions is constructed. Residual infinite-dimensional symmetry is realized in terms of the star-product algebra. It is shown that charges associated with integrations over different cycles are related by particular higher-spin symmetry transformations.