Differential equations and logarithmic intertwining operators for strongly graded vertex algebras

作者：Yang Jinwei^*

来源：Communications in Contemporary Mathematics, 2017, 19(2): 1650009.

DOI：10.1142/S0219199716500097

• Strongly graded vertex algebra
• differential equations
• C-1-cofiniteness condition
• logarithmic intertwining operators
• logarithmic tensor category

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 vertex algebra under a certain finiteness condition and a condition related to the horizontal gradings. 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.

• 出版日期2017-4