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arXiv · hep-th/9410114

Finite W Algebras and Intermediate Statistics

F. Barbarin·E. Ragoucy·P. Sorba
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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.

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F. Barbarin, E. Ragoucy, P. Sorba. 1994-10-17. Finite W Algebras and Intermediate Statistics. https://doi.org/10.1016/0550-3213(95)00112-3

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