Mathematical Physics Seminar, Bin Gui, A unitary tensor product theory for unitary vertex operator algebra modules, J356

Date: 

Tuesday, January 23, 2018, 4:00pm

Location: 

Jefferson 356

Bin Gui

Title:  A unitary tensor product theory for unitary vertex operator algebra modules

Abstract: A modular tensor category (MTC) structure for 2d rational conformal field theory was found in physics by Moore-Seiberg, and was proved mathematically by Huang-Lepowsky using the language of vertex operator algebras (VOAs). However, it is unclear whether this MTC has a unitary structure. In this talk, I will define an inner product on the tensor product of two unitary representations of a unitary rational VOA, under which the MTC becomes unitary.

 

Mathematical Physics Seminar

Gui Seminar Poster