collaborators

6 papers

math.QA2026

Conformal Blocks: Vector bundle structures, Sewing, and Factorization

Bin Gui

This is an informal note on the complex-analytic approach to the theory of conformal blocks for rational VOAs. Its main body was completed in November 2020.

math.QA2026

Pseudotraces on Almost Unital and Finite-Dimensional Algebras

Bin Gui, Hao Zhang

We introduce the notion of almost unital and finite-dimensional (AUF) algebras, which are associative -algebras that may be non-unital or infinite-dimensional, but have…

math.QA2026

Analytic Conformal Blocks of -cofinite Vertex Operator Algebras III: The Sewing-Factorization Theorems

Bin Gui, Hao Zhang

Let be a -cofinite VOA, not necessarily rational or self-dual. In this paper, we establish various versions of the sewing-fac…

math.QA2026

Comparison of Extensions of Unitary Vertex Operator Algebras and Conformal Nets

Bin Gui

Let be one of the following unitary strongly-rational VOAs: unitary WZW models, discrete series W-algebras of type ADE, even lattice VOAs, parafermion VOAs, their tensor produc…

math.QA2025

Analytic Conformal Blocks of -cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo--traces

Bin Gui, Hao Zhang

Let be a -cofinite vertex operator algebra. We prove the convergence of Segal's sewing of conformal blocks associated to anal…

math.QA2025

How are pseudo--traces related to (co)ends?

Bin Gui, Hao Zhang

Let be an -graded -cofinite vertex operator algebra (VOA), not necessarily rational or self-dual. Using a special case of the sewing-factorization theor…