Conformal nets I: coordinate-free nets
Conformal nets I: coordinate-free nets
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DOI：
10.1093/imrn/rnu080
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
A. Bartels;Christopher L. Douglas;A. Henriques
中科院分区：
文献类型：
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作者：
A. Bartels;Christopher L. Douglas;A. Henriques
我们描述了一个坐标自由的角度共形网，从区间函子冯诺依曼代数。讨论了区间融合运算，观察到共形网对von Neumann代数的纤维积取一个融合区间。虽然坐标自由网没有先验的真空部门，我们表明，有一个真空部门规范相关的任何圆配备了共形结构。这是一系列论文中的第一篇，构建了3类共形网，缺陷，扇区和缠绕。
We describe a coordinate-free perspective on conformal nets, as functors from intervals to von Neumann algebras. We discuss an operation of fusion of intervals and observe that a conformal net takes a fused interval to the fiber product of von Neumann algebras. Though coordinate-free nets do not a priori have vacuum sectors, we show that there is a vacuum sector canonically associated to any circle equipped with a conformal structure. This is the first in a series of papers constructing a 3-category of conformal nets, defects, sectors, and intertwiners.