**Author: Dražen Adamović**

Communications in Mathematical Physics, pp 1–43

https://doi.org/10.1007/s00220-019-03328-4

**Abstract: **We study the embeddings of the simple admissible affine vertex algebras and , into the tensor product of rational Virasoro and N = 1 Neveu–Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, logarithmic, and Whittaker and -modules. As an application, we construct all irreducible degenerate Whittaker modules for .