Instanton moduli spaces and $\mathscr W$-algebras
  We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g.\ the Poincar\'e pairing) in terms of representation theory of some vertex operator algebras ("$\mathscr W$-algebras"). 
Alexander Braverman, Michael Finkelberg and Hiraku Nakajima
math.QA hep-th math-ph math.AG math.MP math.RT