New braided endomorphisms from conformal inclusions. (English) Zbl 0908.46044
Summary: Various puzzles about subfactors and integrable lattice models associated with conformal inclusions are resolved in the framework of constructive quantum field theory in two dimensions. In particular, a new class of braided endomorphisms are obtained for a general class of conformal inclusions and their properties are analyzed. The existence of subfactors with principal graphs \(E_6\) or \(E_8\) follows from a rather simple argument in our construction. The fusion graphs of many new examples are given.
MSC:
| 46N50 | Applications of functional analysis in quantum physics |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 46L60 | Applications of selfadjoint operator algebras to physics |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 46L37 | Subfactors and their classification |
| 81T25 | Quantum field theory on lattices |
