4 papers
math.QA2020
Polynomial energy bounds for type WZW-models
Bin Gui
We prove that sufficiently many intertwining operators of type unitary affine VOAs satisfy polynomial energy bounds. This finishes the Wassermann type analysis of intertwinin…
math.QA2020
Regular vertex operator subalgebras and compressions of intertwining operators
Bin Gui
Let be a vertex operator subalgebra of . Assume that , , and its commutant in are CFT-type, self-dual, and regular VOAs. Assume also that the double commutan…
math.QA2018
Categorical extensions of conformal nets
Bin Gui
An important goal in studying the relations between unitary VOAs and conformal nets is to prove the equivalence of their ribbon categories. In this article, we prove this conjectur…
math.QA2018
Energy bounds condition for intertwining operators of type , , and unitary affine vertex operator algebras
Bin Gui
The energy bounds condition for intertwining operators of unitary rational vertex operator algebras (VOAs) was studied, first by A.Wassermann for type affine VOAs, and later by…