Rational $ W $ algebras from composite operators
F. Delduc, L. Frappat, P. Sorba, F. Toppan, E. Ragoucy
TL;DR
This paper introduces a new construction of W algebras by factoring out the spin 1 subalgebra, resulting in either rational finitely generated or polynomial non-linear W_infinity structures.
Contribution
It presents a novel method to derive new W algebra structures through the factorization of the spin 1 subalgebra, expanding the understanding of W algebra classifications.
Findings
New W algebra structures obtained by factoring out spin 1 subalgebra
Connection between rational finitely generated W algebras and polynomial W_infinity realizations
Provides a framework for constructing and analyzing complex W algebra variants
Abstract
Factoring out the spin subalgebra of a algebra leads to a new structure which can be seen either as a rational finitely generated algebra or as a polynomial non-linear realization.
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