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On the Modular Operator of Mutli-component Regions in Chiral CFT
Communications in Mathematical Physics ( IF 2.2 ) Pub Date : 2021-04-29 , DOI: 10.1007/s00220-021-04054-6
Stefan Hollands

We introduce a new approach to find the Tomita–Takesaki modular flow for multi-component regions in general chiral conformal field theory. Our method is based on locality and analyticity of primary fields as well as the so-called Kubo–Martin–Schwinger (KMS) condition. These features can be used to transform the problem to a Riemann–Hilbert problem on a covering of the complex plane cut along the regions, which is equivalent to an integral equation for the matrix elements of the modular Hamiltonian. Examples are considered.



中文翻译:

关于手性CFT中多组分区的模算子

我们引入了一种新方法,可以在一般手性保形场理论中为多组分区域找到富田-竹崎模块化流。我们的方法基于主场的局部性和分析性以及所谓的Kubo-Martin-Schwinger(KMS)条件。这些特征可以用来将问题转化为沿区域切割的复杂平面的覆盖上的Riemann-Hilbert问题,这等效于模块化哈密顿量矩阵元素的积分方程。考虑实例。

更新日期:2021-04-30
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