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

Abstract

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.Comment: 13 pages. v3: additional material (concerning the Hilbert spaces) adde