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

Y. Kawahigashi, R. Longo, U. Pennig, K. -H. Rehren

math.OAarXiv:math/0505130

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.

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