MATSUO Atsushi
Associate Professor
Department of Mathematics (UG), Graduate School of Mathematical Sciences
matsuo@ms.u-tokyo.ac.jp | |
TEL | +81-3-5465-8346 | 48346(ext.) |
Room | 561, Graduate School of Mathematical Sciences Bldg. 5F, Komaba Campus |
Links |
Research Field
Group theory, Representation theory, Mathematical physics
Research Subject
Mathematical structures related to conformal field theories
Current Research
The aim of our research is to understand the mathematical structures related to 2-dimensional conformal field theories by looking at the system of axioms for vertex operator algebras. In particular, we have studied the properties of the finite groups which appear as the automorphism groups of vertex operator algebras, and found that there are certain numerical constraints for a vertex operator algebra on which the automorphism group acts in a fixed-point free manner up to some degree.
Keywords
representation theories, Lie algebras, automorphism group, Monster, moonshine, vertex operator algebras, conformal field theories