Abstract
We prove a collection of q-series identities conjectured by Warnaar and Zudilin and appearing in recent work with H. Kim in the context of superconformal field theory. Our proof utilizes a deformation of the simple affine vertex operator superalgebra Lk(osp1|2n) into the principal subsuperspace of Lk(sl1|2n+1) in a manner analogous to earlier work of Feigin-Stoyanovsky. This result fills a gap left by Stoyanovsky, showing that for all positive integers N, k the character of the principal subspace of type AN at level k can be identified with the (super)character of a simple affine vertex operator (super)algebra at the same level.