The Classification of Non-Local Chiral CFT with c < 1

2005/05/31 by Yasuyuki Kawahigashi, Y. Kawahigashi, R. Longo +5 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th #math-ph #math.FA #math.MP #math.OA #msc:81R15 #msc:81T05 #msc:81T40

paper · pdf · doi:10.1007/s00220-007-0199-1

published as Commun.Math.Phys.271:375-385,2007 · 13 pages. v3: additional material (concerning the Hilbert spaces) added

arxiv created 2006/07/31 · openalex publication_date 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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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