Construction of two-dimensional quantum field models through Longo-Witten endomorphisms
arXiv:1301.6090 · doi:10.1017/fms.2014.3
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.
29 pages, 1 tikz figure. The final version is available under Open Access
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Cited by in corpus (9)
- Integrable QFT and Longo-Witten endomorphisms
- Modular operator for null plane algebras in free fields
- Wedge-local fields in integrable models with bound states
- Algebraic conformal quantum field theory in perspective
- A criterion for asymptotic completeness in local relativistic QFT
- Deformations of half-sided modular inclusions and non-local chiral field theories
- Quantum energy inequalities in integrable models with several particle species and bound states
- Interacting massless infraparticles in 1+1 dimensions
- Massless Wigner particles in conformal field theory are free