Finite W Algebras and Intermediate Statistics

Details Finite W Algebras and Intermediate Statistics Finite W Algebras and Intermediate Statistics

1994-10-17

arxiv.org/abs/hep-th/9410114v1

Nucl.Phys. B442 (1995) 425-443

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(95)00112-3

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.

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