S 2-orbifolds of N=1 and N=2 superconformal vertex algebras and W-algebras

We study S (2)-orbifolds of N = 1 and N = 2 superconformal vertex algebras. For generic values of the central charge, we determine types of these orbifolds and prove that they are W-algebras. For some special rational values of the central charge, we get new examples of rational N = 1 vertex superalgebras. We also investigate S (2)-orbifold of the Heisenberg-Virasoro vertex algebra.

Automated summary

This study focuses on S (2)-orbifolds of N = 1 and N = 2 superconformal vertex algebras, determining their types and proving that they are W-algebras. New examples of rational N = 1 vertex superalgebras were discovered for special rational values of the central charge. The S (2)-orbifold of the Heisenberg-Virasoro vertex algebra was also investigated.