标题： 接触项代数和迪克格拉夫的主方程 显示英文标题

标题： Contact Term Algebras and Dijkgraaf's Master Equation

摘要： 本文致力于从接触代数的角度研究椭圆曲线上的手征共形场论的可积形变。 我们在共形顶点代数的框架内引入相关的可积条件，并推导出某些局部算符之间的接触项关系。 我们研究了三种一环配分函数，并推导出接触方程。 这导致了 Dijkgraaf 的手征形变主方程\cite{Dijk1996master}的严谨表述。 显示英文摘要

摘要： This paper is devoted to study integrable deformations of chiral conformal field theories on elliptic curves from the viewpoint of contact algebra. We introduce the relevant integrable condition within the framework of conformal vertex algebra, and derive the contact term relations among certain local operators. We investigate three versions of genus one partition functions and derive the contact equations. This leads to a rigorous formulation of Dijkgraaf's master equation \cite{Dijk1996master} for chiral deformations.