The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural …
In this work we recover the construction of Kac-Kazhdan-Lepowsky-Wilson (1981) of the basic modules for the affine Lie algebras of types A([superscript]K), D([superscript]K), and E([superscript]K) using a new method.
Instanton moduli spaces and W-algebras
by Braverman, Alexander, Finkelberg, Michael, Nakajima, Hiraku
fromAstérisque
Instanton moduli spaces and W-algebras
by Braverman, Alexander, Finkelberg, Michael, Nakajima, Hiraku
fromAstérisque
We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g., the Poincaré pairing) in terms of representation theory of some vertex operator algebras ("W-algebras").