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math.QA2023★ 2 cited
Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules
Bin Gui
A unitary and strongly rational vertex operator algebra (VOA) is called strongly unitary if all irreducible -modules are unitarizable. A strongly unitary VOA is called c…
math.QA2023★ 1 cited
Lectures on Vertex Operator Algebras and Conformal Blocks
Bin Gui
These are the lecture notes for a course taught at Tsinghua University in the spring of 2022. In these notes, we develop the basic theory of vertex operator algebras (VOAs) and the…
math.QA2023
Analytic Conformal Blocks of -cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products
Bin Gui, Hao Zhang
This is the first paper of a three-part series in which we develop a theory of conformal blocks for -cofinite vertex operator algebras (VOAs) that are not necessarily rational…