Hao Zhang

collaborators

5 papers

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 $C$ -algebras that may be non-unital or infinite-dimensional, but have…

math.QA2026

Analytic Conformal Blocks of $C_{2}$ -cofinite Vertex Operator Algebras III: The Sewing-Factorization Theorems

Bin Gui, Hao Zhang

Let $V = ⨁_{n \in N} V (n)$ be a $C_{2}$ -cofinite VOA, not necessarily rational or self-dual. In this paper, we establish various versions of the sewing-fac…

math.QA2025

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT

Hao Zhang

Let $V$ be an $N$ -graded, $C_{2}$ -cofinite vertex operator algebra (VOA) admitting a non-lowest generated module in $Mod (V)$ (e.g., the triplet algeb…

math.QA2025

Analytic Conformal Blocks of $C_{2}$ -cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo- $q$ -traces

Bin Gui, Hao Zhang

Let $V = ⨁_{n \in N} V (n)$ be a $C_{2}$ -cofinite vertex operator algebra. We prove the convergence of Segal's sewing of conformal blocks associated to anal…

math.QA2025

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

Bin Gui, Hao Zhang

Let $V$ be an $N$ -graded $C_{2}$ -cofinite vertex operator algebra (VOA), not necessarily rational or self-dual. Using a special case of the sewing-factorization theor…

Pseudotraces on Almost Unital and Finite-Dimensional Algebras

Analytic Conformal Blocks of C2​-cofinite Vertex Operator Algebras III: The Sewing-Factorization Theorems

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT

Analytic Conformal Blocks of C2​-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-q-traces

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

Analytic Conformal Blocks of $C_{2}$ -cofinite Vertex Operator Algebras III: The Sewing-Factorization Theorems

Analytic Conformal Blocks of $C_{2}$ -cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo- $q$ -traces

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