Parafermionic representation of the affine sl̂(2|1;C) algebra at fractional level

The four fermionic currents of the affine superalgebra sl̂(2|1;C) at fractional level k=1u−1,u∈N are shown to be realised in terms of a free scalar field, an sl̂(2;C) doublet field and primary fields of the parafermionic algebra Zu−1.