Yi-Zhi Huang (Rutgers):

Twisted intertwining operators and nonabelian orbifold theories

The study of two-dimensional conformal field theories can in fact be reduced to the study of intertwining operators. In particular, the study of orbifold conformal field theories corresponds to the study of twisted intertwining operators (intertwining operators among twisted modules). However, for more than twenty years, there was even no mathematical definition of twisted intertwining operators when the twisted modules involved are associated to non-commuting automorphisms of the vertex operator algebra. In this talk, I will discuss a recently introduced notion of twisted intertwining operator and the basic properties of such operators. I will also present the main conjecture on nonabelian orbifold theories in terms of these operators and discuss the applications.
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