Bin Gui

collaborators

Showing math.QAShow all

3 papers · 1 filter

math.QA2026

Analytic Conformal Blocks of $C_{2}$ -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 $C_{2}$ -cofinite vertex operator algebras (VOAs) that are not necessarily rational…

math.QA2026

Unbounded field operators in categorical extensions of conformal nets

Bin Gui

We prove the equivalence of VOA tensor categories and conformal net tensor categories for the following examples: all WZW models; all lattice VOAs; all unitary parafermion VOAs; ty…

math.QA2025

Genus-zero Permutation-twisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensor-factorizable Case

Bin Gui

For a vertex operator algebra $V$ , we construct an explicit isomorphism between the space of genus-0 conformal blocks associated to permutation-twisted $V^{\otimes n}$ -modules and…

Analytic Conformal Blocks of C2​-cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products

Unbounded field operators in categorical extensions of conformal nets

Genus-zero Permutation-twisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensor-factorizable Case

Analytic Conformal Blocks of $C_{2}$ -cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products