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.