Differential equations and logarithmic intertwining operators for strongly graded vertex algebras
Quantum Algebra
2016-05-25 v2 Analysis of PDEs
Category Theory
Abstract
We derive certain systems of differential equations for matrix elements of products and iterates of logarithmic intertwining operators among strongly graded generalized modules for a strongly graded conformal vertex algebra under suitable assumptions. Using these systems of differential equations, we verify the convergence and extension property needed in the logarithmic tensor category theory for such strongly graded generalized modules developed by Huang, Lepowsky and Zhang.
Cite
@article{arxiv.1304.0138,
title = {Differential equations and logarithmic intertwining operators for strongly graded vertex algebras},
author = {Jinwei Yang},
journal= {arXiv preprint arXiv:1304.0138},
year = {2016}
}
Comments
26 pages. For the sake of readability, I quote certain necessary technical definitions from earlier work of Y.-Z. Huang, J. Lepowsky and L. Zhang [arXiv:0710.2687, arXiv:1012.4193, arXiv:math/0609833]