The classification of non-local chiral CFT with $c<1$

Yasuyuki Kawahigashi, Roberto Longo, Ulrich Pennig, Karl-Henning Rehren
May 08, 2005
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.
open access link Commun.Math.Phys.271:375-385,2007
@article{Kawahigashi:2005qj, author = "Kawahigashi, Yasuyuki and Longo, Roberto and Pennig, Ulrich and Rehren, Karl-Henning", title = "{The Classification of non-local chiral CFT with c<1}", journal = "Commun. Math. Phys.", volume = "271", year = "2007", pages = "375-385", doi = "10.1007/s00220-007-0199-1", eprint = "math/0505130", archivePrefix = "arXiv", primaryClass = "math-oa", SLACcitation = "%%CITATION = MATH/0505130;%%" }