Saturday, March 27, 2010

Level structures and moduli space of chiral conformal field theories

This week, I delivered a talk on holonomic $\mathcal{D}$-modules and their level structure. In order to explain the moduli space of chiral (holomorphic) conformal field theory, I explained some categorical aspects of topological string theory as well as the DG-scheme of Fontaine-Kapranov theory of integration over formal loop space on (hyper-)kahler manifolds with mild singularity.

As is always, the slides are avaible on the official website:

Level structures and moduli space of chiral conformal field theories.

In summary, I explained the "super-"conformal field theories as well as the "supersymmetric" gauge theory, in the language of Differential Graded Category as well as the stack singularity for the Chan-Paton factor, as a generalization of quiver gauge theory.