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arXiv · 1301.6090

Construction of two-dimensional quantum field models through Longo-Witten endomorphisms

Yoh Tanimoto
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Abstract

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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Yoh Tanimoto. 2015-02-06. Construction of two-dimensional quantum field models through Longo-Witten endomorphisms. https://doi.org/10.1017/fms.2014.3

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