Finite W Algebras and Intermediate Statistics

Abstract

New realizations of finite W algebras are constructed by relaxing the usual constraint conditions. Then, finite W algebras are recognized in the Heisenberg quantization recently proposed by Leinaas and Myrheim, for a system of two identical particles in d dimensions. As the anyonic parameter is directly associated to the W-algebra involved in the d=1 case, it is natural to consider that the W-algebra framework is well-adapted for a possible generalization of the anyon statistics.

16 pp., Latex, Preprint ENSLAPP-489/94

References in corpus (4)

• Representation theory of finite W algebras
• W Algebras and Superalgebras from Constrained WZW Models: A Group Theoretical Classification
• Finite W-algebras
• Finite and Infinite W Algebras and their Applications

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• Kinetic Approach to Fractional Exclusion Statistics
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• The Higgs and Hahn algebras from a Howe duality perspective
• W-algebras from symplectomorphisms
• The $q$-Higgs and Askey-Wilson algebras
• The geometry of W3 algebra: a twofold way for the rebirth of a symmetry
• Remarks on Finite W Algebras