Z3-graded Grassmann Variables, Parafermions and their Coherent States

Details Z3-graded Grassmann Variables, Parafermions and their Coherent States Z3-graded Grassmann Variables, Parafermions and their Coherent States

2002-06-12

arxiv.org/abs/math-ph/0206017v1

Phys. Lett. B536 (2002) 321

Physics

Mathematical Physics

8 pages

Scientific paper

10.1016/S0370-2693(02)01834-8

A relation between the $Z_3$-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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