5 citations · 16 across the 6 of their papers we have counts for
12 papers
Vertex operator algebras, fusion rules and modular transformations
Yi-Zhi Huang
We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the const…
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
Yi-Zhi Huang, James Lepowsky, Haisheng Li +1
We produce counterexamples to show that in the definition of the notion of intertwining operator for modules for a vertex operator algebra, the commutator formula cannot in general…
Differential equations and conformal field theories
Yi-Zhi Huang
We discuss the recent results of the author on the existence of systems of differential equations for chiral genus-zero and genus-one correlation functions in conformal field theor…
Differential equations, duality and modular invariance
Yi-Zhi Huang
We solve the problem of constructing all chiral genus-one correlation functions from chiral genus-zero correlation functions associated to a vertex operator algebra satisfying the…
Riemann surfaces with boundaries and the theory of vertex operator algebras
Yi-Zhi Huang
The connection between Riemann surfaces with boundaries and the theory of vertex operator algebras is discussed in the framework of conformal field theories defined by Kontsevich a…
Differential equations and intertwining operators
Yi-Zhi Huang
We show that if every module W for a vertex operator algebra V satisfies the condition that the dimension of W/C_1(W) is less than infinity, where C_1(W) is the subspace of W spann…