Graded Parafermions
J. M. Camino, A. V. Ramallo, J. M. Sanchez de Santos
TL;DR
This paper introduces a graded extension of Z_k parafermionic conformal field theory, analyzing its module structure, field dimensions, and free field realization, revealing its reducibility despite non-unitarity.
Contribution
It provides the first detailed analysis of graded parafermions, including module structure, free field realization, and algebraic constants, expanding the understanding of parafermionic theories.
Findings
Module structure and field dimensions are determined.
A free field realization of the system is constructed.
The theory exhibits good reducibility properties despite being non-unitary.
Abstract
A graded generalization of the Z_k parafermionic current 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.
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