The PST model provides a Green-Schwarz description of the worldvolume physics of a single M5-brane. On the other hand, direct knowledge of the non-Abelian case, for instance via a Lagrangian description, is not presently available, due to various technical difficulties. Since superconformal symmetry is only available in 6 or lower spacetime dimensions, this maximally supersymmetric theory may be used to derive an infinite number of other theories. Furthermore, via the AdS/CFT correspondence, the M5-brane worldvolume theory can be used to study M-theory on asymptotically Anti-de Sitter (AdS) spacetimes.