Z3-graded Grassmann Variables, Parafermions and their Coherent States
M. El Baz, Y. Hassouni, F. Madouri
TL;DR
This paper explores the connection between Z3-graded Grassmann variables and parafermions, constructing coherent states and an analog of the Bargmann-Fock representation based on this relationship.
Contribution
It introduces a novel link between Z3-graded Grassmann variables and parafermions, and develops coherent states and a Bargmann-Fock analog for this framework.
Findings
Established a relation between Z3-graded Grassmann variables and parafermions
Constructed coherent states from this relationship
Presented an analog of the Bargmann-Fock representation
Abstract
A relation between the -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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