From loop groups to 2-groups
From loop groups to 2-groups
We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n).A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism called the 'Jacobiator.'Similarly, a Lie 2-group is a categorified version of …