Ordinary modules for vertex algebras of ${\mathfrak{osp}}_{1|2n}$

Thomas Creutzig, Naoki Genra, Andrew Linshaw

We show that the affine vertex superalgebra $V^k({\mathfrak{osp}}_{1|2n})$ at generic level $k$ embeds in the equivariant $\mathcal{W}$-algebra of ${\mathfrak{sp}}_{2n}$ times $4n$ free…