On Classical Rational $\cw$ Algebras

TL;DR

This paper analyzes the structure of classical non-linear $ ext{W}$ algebras that close on rational functions, focusing on both ordinary and supersymmetric cases, highlighting their origin from coset constructions and relevance to physics.

Contribution

It provides a detailed analysis of classical non-linear $ ext{W}$ algebras with rational function closures, including supersymmetric extensions, derived from coset models.

Findings

Characterization of classical non-linear $ ext{W}$ algebras with rational closures

Extension to supersymmetric $ ext{W}$ algebras

Discussion of physical applications of these algebras

Abstract

The structure of classical non-linear $\cw$ algebras closing on rational functions is analyzed both for the ordinary and the supersymmetric case. Such algebras appear as a result of a coset construction. Their relevance to physical applications is pointed out.