2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183305All 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.13 pages. v3: additional material (concerning the Hilbert spaces) addedOperator AlgebrasHigh Energy Physics - TheoryMathematical PhysicsFunctional Analysis81R15, 81T05, 81T40The classification of non-local chiral CFT with c<1text