Generalized parafermions of orthogonal type

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

There is an embedding of affine vertex algebras $V^k({\mathfrak{gl}}_n)\hookrightarrow V^k({\mathfrak{sl}}_{n+1})$, and the coset $\mathcal{C}^k(n) = \text{Com}(V^k(\mathfrak{gl}_n),…