论文标题
具有无限尺寸希尔伯特空间的模块化函子
Modular functors with infinite dimensional Hilbert spaces
论文作者
论文摘要
我们介绍了一个通用模块化函子的概念，该概念一般而言是无限维度的希尔伯特空间，并表明具有共形尺寸数据的广义模块化函子决定了独特的波函数作为其平面部分。此外，我们研究了源自liouville综合场理论的广义模块化函子的示例。在此示例中，波函数被认为是胶合块，在量子teichmüller理论中用征征鉴定出来。
We introduce a notion of generalized modular functors with Hilbert spaces of infinite dimension in general, and show that a generalized modular functor with data of conformal dimensions determines uniquely wave functions as its flat sections. Furthermore, we study an example of generalized modular functors derived from the Liouville conformal field theory. In this example, wave functions are seen to be gluing conformal blocks which are identified with eigenfunctions in the quantum Teichmüller theory.
