论文标题
统一顶点代数和Wightman形式的田野理论
Unitary vertex algebras and Wightman conformal field theories
论文作者
论文摘要
我们证明了以下概念之间的等效性：（i）单一möbius顶点代数和（ii）圆圈上的wightman综合场理论（具有有限维度的形成型的重量空间）满足了我们称之为统一界限的其他条件。在一个方向上读取此等效性，我们获得了有关顶点操作员的新分析和操作者的理论信息。在另一个方向上，我们表征了Wightman领域的OPES，并表明它们满足顶点代数的公理。作为应用程序，我们建立了将单一顶点操作员代数与共形网链接的新结果。
We prove an equivalence between the following notions: (i) unitary Möbius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call uniformly bounded order. Reading this equivalence in one direction, we obtain new analytic and operator-theoretic information about vertex operators. In the other direction we characterize OPEs of Wightman fields and show they satisfy the axioms of a vertex algebra. As an application we establish new results linking unitary vertex operator algebras with conformal nets.
