Admissible ŝl (2|1; C)k characters and parafermions Original Research Article

The branching functions of a particular subclass of characters of the affine superalgebra ŝl(2|1;(C)k into characters of the subalgebraŝl(2|1;(C)k are calculated for fractional levels k = /1 u − 1, u ϵ N. They involve rational torus Au(u−1) and Zu−1 parafermion characters.