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Lie Groups Quantum Mathematics Seminar

"Intertwining operators among twisted modules associated to not-necessarily-commutative automorphisms"

Date & time: Friday, 31 March 2017 at 12:00PM -


Yi-Zhi Huang, Rutgers University

"Intertwining operators among twisted modules associated to not-necessarily-commutative automorphisms"

Time: 12:00 PM
Location: Hill 705
Abstract: Intertwining operators among twisted modules or twisted intertwining operators for a vertex operator algebra are the main objects of interest in the construction and study of orbifold conformal field theories. However, there has not been even a definition of such operators among twisted modules associated to noncommutative automorphisms in the literature. In a recent paper (arXiv:1702.05845), I have introduced such intertwining operators and have proved their basic properties that are necessary for a future proof of a conjecture and a construction of the associated crossed tensor categories. The proofs of these results involve careful analysis of the analytic extensions corresponding to the actions of the not-necessarily-commutative automorphisms of the vertex operator algebra. In this talk, I will discuss these operators and their properties.

Archive paper arXiv:1702.05845.


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