Construction of two-dimensional quantum field models through Longo-Witten endomorphisms
Mathematical Physics
2015-02-09 v2 High Energy Physics - Theory
math.MP
Operator Algebras
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.
Cite
@article{arxiv.1301.6090,
title = {Construction of two-dimensional quantum field models through Longo-Witten endomorphisms},
author = {Yoh Tanimoto},
journal= {arXiv preprint arXiv:1301.6090},
year = {2015}
}
Comments
29 pages, 1 tikz figure. The final version is available under Open Access