Fermionic characters for graded parafermions
L. B\'egin, J.-F. Fortin, P. Jacob, P. Mathieu
TL;DR
This paper derives fermionic and bosonic character formulas for graded parafermionic conformal field theories related to the coset $osp(1,2)_k/u(1)$, using a partition counting approach.
Contribution
It provides explicit fermionic and bosonic character formulas for charged modules of graded parafermions, a novel result in conformal field theory.
Findings
Fermionic character formulas for graded parafermions are derived.
Bosonic forms of the characters are also obtained.
The counting method involves graded $Z_k$ exclusion principles.
Abstract
Fermionic-type character formulae are presented for charged irreduciblemodules of the graded parafermionic conformal field theory associated to the coset . This is obtained by counting the weakly ordered `partitions' subject to the graded exclusion principle. The bosonic form of the characters is also presented.
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