This is the fourth part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …

Modules over a vertex operator algebra V give rise to sheaves of coinvariants on moduli of
stable pointed curves. If V satisfies finiteness and semi-simplicity conditions, these sheaves …

This is the third part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …

arXiv:1606.04493v2 [math.QA] 1 Feb 2017 Page 1 Some open problems in mathematical
two-dimensional conformal field theory Yi-Zhi Huang Dedicated to Jim Lepowsky and …

Using the Zhu algebra for a certain category of C-graded vertex algebras V, we prove that if
V is finitely Ω-generated and satisfies suitable grading conditions, then V is rational, ie, it has …

We give two constructions of grading-restricted vertex (super) algebras. We first give a new
construction of a class of grading-restricted vertex (super) algebras originally obtained by …

This paper is a continuation of [D. Adamović and G. Radobolja, Free field realization of the
twisted Heisenberg–Virasoro algebra at level zero and its applications, J. Pure Appl …

We review the definition of bulk and boundary conformal field theory in a way suited for
logarithmic conformal field theory. The notion of a maximal bulk theory which can be non …

This is the first of two papers in which we study the modular invariance of pseudotraces of
logarithmic intertwining operators. We construct and study genus-one correlation functions …

We study the structure of the category of modules over the triplet W-algebras Wp+, p− and
SW (m), where the former was defined by Feigin, Gainutdinov, Semikhatov and Tipunin [22] …