Rational $W$ algebras from composite operators

Abstract

Factoring out the spin $1$ subalgebra of a $W$ algebra leads to a new $W$ structure which can be seen either as a rational finitely generated $W$ algebra or as a polynomial non-linear $W_{\infty }$ realization.

11 pages, LATEX, preprint ENSLAPP-AL-429/93 and NORDITA-93/47-P

References in corpus (7)

• W-symmetry in Conformal Field Theory
• Infinite Symmetry in the Quantum Hall Effect
• On the classification of quantum W-algebras
• Nonlinear ${\hat{W}}_{\infty }$ Current Algebra in the SL(2,R)/U(1) Coset Model
• On the connection between Quantum Mechanics and the geometry of two-dimensional strings
• A New Deformation of W-Infinity and Applications to the Two-loop WZNW and Conformal Affine Toda Models
• Rational vs Polynomial Character of W${}_n^l$-Algebras

Cited by in corpus (8)

• Coset Realization of Unifying W-Algebras
• On the Super-NLS Equation and its Relation with N=2 Super-KdV within Coset Approach
• A Class of W-Algebras with Infinitely Generated Classical Limit
• The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated $W$ algebra
• On the Completeness of the Set of Classical W-Algebras Obtained from DS Reductions
• Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups and Superstrings
• Osp(1|2) and Sl(2) Reductions in Generalised Super-Toda Models and Factorization of Spin 1/2 Fields
• Susy Hierarchies and Affine Algebras