A New Mechanism for Gauging a Theory

TL;DR

This paper introduces a novel gauging mechanism based on embedding theories into nontrivial fibrations with monodromy, preserving degrees of freedom and incorporating global symmetries, exemplified by a reinterpretation of the supermembrane.

Contribution

It proposes a new gauging method using nontrivial fibrations and monodromy, expanding the framework for symmetry gauging in theoretical physics.

Findings

Preserves total degrees of freedom unlike classical gauging.

Incorporates global symmetry properties into the new theory.

Illustrated through reinterpretation of supermembrane with central charges.

Abstract

We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibration with monodromy provides a natural framework for a new way of gauging a theory. Moreover, properties of the global symmetry of the original theory are included in a particular way in the new theory. This mechanism for gauging a symmetry preserves the total number of degrees of freedom in distinction with the classical one. We consider a particular example to illustrate the mechanism: by reinterpreting the supermembrane with central charges as a gauged supermembrane of the compactified supermembrane according to this new sense of gauging. Further applications are also discussed.