利用Longo-Witten自同态构造二维量子场模型
Construction of two-dimensional quantum field models through Longo-Witten endomorphisms
摘要:
我们提出了一个程序,通过一个操作代数方法来构建家庭的本地,大量的和相互作用的Haag-Kastler网的二维时空。在不依赖模核性的情况下,给出了局部可观测的存在性证明。利用Longo和Witten最近研究的共形网的某些自同态,通过类似的技术,构造了另一族楔形局部网。
英文摘要:
We present a procedure to construct families of local, massive and interacting Haag-Kastler nets on the two-dimensional spacetime through an operator-algebraic method. An existence proof of local observable is given without relying on modular nuclearity. By a similar technique, another family of wedge-local nets is constructed using certain endomorphisms of conformal nets recently studied by Longo and Witten.
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