Construction of wedge-local QFT through Longo-Witten endomorphisms
Yoh Tanimoto
TL;DR
This paper reviews a recent operator-algebraic approach to constructing quantum field models with weak localization, utilizing chiral conformal fields and endomorphisms, resulting in strictly local nets in some cases.
Contribution
The paper introduces a novel construction method for quantum field models using Longo-Witten endomorphisms, achieving strict locality in certain models.
Findings
Construction of operator-algebraic QFT models with weak localization
Use of chiral conformal fields and endomorphisms in the construction
Achievement of strictly local nets in specific cases
Abstract
We review our recent construction of operator-algebraic quantum field models with a weak localization property. Chiral components of two-dimensional conformal fields and certain endomorphisms of their observable algebras play a crucial role. In one case, this construction leads to a family of strictly local (Haag-Kastler) nets.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum chaos and dynamical systems · Quantum Chromodynamics and Particle Interactions