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arXiv · 1904.08201

On the modular operator of mutli-component regions in chiral CFT

Stefan Hollands
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Abstract

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.

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Stefan Hollands. 2019-04-17. On the modular operator of mutli-component regions in chiral CFT. https://arxiv.org/abs/1904.08201

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