Moufang transformations and Noether currents

TL;DR

This paper constructs Noether currents from continuous Moufang transformations, analyzes their algebraic structure, and reveals that the charge algebra forms a birepresentation of the tangent Mal'ltsev algebra of an analytic Moufang loop.

Contribution

It introduces the construction of Noether currents for Moufang transformations and identifies their algebraic structure as a birepresentation of Mal'ltsev algebra.

Findings

Noether currents for Moufang transformations are explicitly constructed.

The equal-time commutators of these currents are derived.

The charge algebra is shown to be a birepresentation of the tangent Mal'ltsev algebra.

Abstract

The Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal'ltsev algebra of an analytic Moufang loop.