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Z3-graded Grassmann Variables, Parafermions and their Coherent States

M. El Baz, Y. Hassouni, F. Madouri

math-pharXiv:math-ph/0206017

Abstract

A relation between the Z3-graded Grassmann variables and parafermions is established. Coherent states are constructed as a direct consequence of such a relationship. We also give the analog of the Bargmann-Fock representation in terms of these Grassmann variables.

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