All non-local but relatively local irreducible extensions of Virasoro chiral CFTs with c < 1 are classified. The classification, which is a prerequisite for the classification of local c < 1 boundary CFTs on a two-dimensional half-space, turns out to be 1 to 1 with certain pairs of A-D-E graphs with distinguished vertices.
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Dedicated to Hans-Jürgen Borchers on the occasion of his 80th birthday
Supported in part by JSPS.
Supported in part by EU network “Quantum Spaces - Noncommutative Geometry” HPRN-CT-2002-00280.
Supported in part by GNAMPA and MIUR.
Communicated by A. Connes
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Kawahigashi, Y., Longo, R., Pennig, U. et al. The Classification of Non-Local Chiral CFT with c < 1. Commun. Math. Phys. 271, 375–385 (2007). https://doi.org/10.1007/s00220-007-0199-1
- Dynkin Diagram
- Tensor Category
- Bratteli Diagram
- Coxeter Number
- Irreducible Decomposition