Abstract: A vertex algebra is the chiral algebra of a two-dimensional conformal field theory and appears in many exciting problems. W-algebras are the broadest class of these and they are associated to certain data of Lie superalgebras. These W-algebras and their representation categories appear as invariants of 4-dimensional gauge theories and dualities of physics translate into isomorphisms of vertex algebras … Read More

Abstract: It has long been known that holomorphic field theories on twistor space lead to “physical” field theories on Minkowski space. In this talk I will discuss a type I (unoriented) version of the topological B model on twistor space. The corresponding theory on Minkowski space is a sigma-model with target the group SO(8). This is a variant of the … Read More