Superconformal symmetry in a class of Schellekens theories

Abstract

In 2023, Moore and Singh used the theory of orbifold vertex operator algebras to explicitly construct an $\mathcal{N}=1$ supercurrent in the Beauty and the Beast module of Dixon, Ginsparg, and Harvey. Using their techniques, we show that $\mathcal{N}=1$ superconformal symmetry exists in all VOAs constructed as spin lifts of canonical ${\mathbb{Z}}_2$ orbifolds of Niemeier lattice VOAs.

22 pages, 1 table