Uncovering infinite symmetries on $[p,q]$ 7-branes: Kac–Moody algebras and beyond

Abstract

In a previous paper we explored how conjugacy classes of the modular group classify the symmetry algebras that arise on type IIB [p,q] 7-branes. The Kodaira list of finite Lie algebras completely fills the elliptic classes as well as some parabolic classes.