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

Mathematics – Operator Algebras

Scientific paper

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

Scientific paper

10.1007/s00220-007-0199-1

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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