Global conserved quantities and unfree gauge symmetry

TL;DR

This paper explores theories with unfree gauge symmetry, revealing they possess global conserved quantities determined by field asymptotics, and discusses their treatment within BRST frameworks.

Contribution

It introduces the existence of global conserved quantities in theories with unfree gauge symmetry and analyzes their derivation and BRST treatment.

Findings

Global conserved quantities are defined by field asymptotics.

Such quantities can be derived from gauge parameter restrictions.

Different BRST complexes treat these quantities distinctly.

Abstract

We consider a class of theories with unfree gauge symmetry, whose gauge parameters are restricted by differential equations. We demonstrate that such theories admit global conserved quantities, whose on-shell values are defined by asymptotics of the fields rather than Cauchy data. The global conserved quantities can be deduced proceeding from the equations restricting gauge parameters, and they are treated differently by two BRST complexes corresponding to a system with unfree gauge symmetry.