Fermionic characters for graded parafermions

Abstract

Fermionic-type character formulae are presented for charged irreduciblemodules of the graded parafermionic conformal field theory associated to the coset $osp(1,2{)}_k/u(1)$. This is obtained by counting the weakly ordered `partitions' subject to the graded $Z_k$ exclusion principle. The bosonic form of the characters is also presented.

24 p. This corrects typos (present even in the published version) in eqs (4.4), (5.23), (5.24) and (C.4)

References in corpus (2)

• Graded parafermions: standard and quasi-particle bases
• Parafermionic quasi-particle basis and fermionic-type characters

Cited by in corpus (5)

• A quasi-particle description of the M(3,p) models
• New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions
• SM(2,4k) fermionic characters and restricted jagged partitions
• Paths and partitions: combinatorial descriptions of the parafermionic states
• Parafermionic derivation of Andrews-type multiple sums