Vertex algebras, factorization algebras and applications

Slides

27. "Vertex algebras associated with hypertoric varieties" by Toshiro Kuwabara (Tsukuba U)

Hypertoric varieties are known as an example of conical symplectic singularities and their resolutions. Using BRST reduction, we construct a sheaf of (h-adic) vertex algebras over a family of Poisson deformations of a hypertoric variety. A conformal vector is constructed explicitly, and we obtain a vertex operator algebra as a vertex algebra of global sections.
As certain special cases, the...