Integrable QFT and Longo-Witten endomorphisms
Abstract
Our previous constructions of Borchers triples are extended to massless scattering with nontrivial left and right components. A massless Borchers triple is constructed from a set of left-left, right-right and left-right scattering functions. We find a correspondence between massless left-right scattering S-matrices and massive block diagonal S-matrices. We point out a simple class of S-matrices with examples. We study also the restriction of two-dimensional models to the lightray. Several arguments for constructing strictly local two-dimensional nets are presented and possible scenarios are discussed.
Keywords
Cite
@article{arxiv.1305.2171,
title = {Integrable QFT and Longo-Witten endomorphisms},
author = {Marcel Bischoff and Yoh Tanimoto},
journal= {arXiv preprint arXiv:1305.2171},
year = {2015}
}
Comments
42 pages, 1 Tikz figure. The final version is available under Open Access. An erratum concerning Definition 3.4(4) of the right-mixed Yang-Baxter equation is available at http://dx.doi.org/10.1007/s00023-014-0337-1 . This arXiv version contains the corrected definitions and propositions