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Graded parafermions
Authors:JM Camino  AV Ramallo  JM Sánchez de Santos
Institution:

Departamento de Fisica de Particulas, Universidad de Santiago, E-15706, Santiago de Compostela, Spain

Abstract:A graded generalization of the Zk parafermionic current algebra is constructed. This symmetry is realized in the osp(1|2)/U(1) coset conformal field theory. The structure of the parafermionic highest-weight modules is analyzed and the dimensions of the fields of the theory are determined. A free field realization of the graded parafermionic system is obtained and the structure constants of the current algebra are found. Although the theory is not unitary, it presents good reducibility properties.
Keywords:Conformal field theory  Parafermions  Current algebras  Superalgebras
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