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

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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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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Yasuyuki Kawahigashi

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 1, I-00133, Roma, Italy

    Roberto Longo

  3. Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, D-37077, Göttingen, Germany

    Ulrich Pennig & Karl-Henning Rehren

Authors
  1. Yasuyuki Kawahigashi
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  2. Roberto Longo
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  3. Ulrich Pennig
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  4. Karl-Henning Rehren
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Corresponding author

Correspondence to Roberto Longo.

Additional information

Communicated by A. Connes

Dedicated to Hans-Jürgen Borchers on the occasion of his 80th birthday

Supported in part by JSPS.

Supported in part by EU network “Quantum Spaces - Noncommutative Geometry” HPRN-CT-2002-00280.

Supported in part by GNAMPA and MIUR.

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Kawahigashi, Y., Longo, R., Pennig, U. et al. The Classification of Non-Local Chiral CFT with c < 1. Commun. Math. Phys. 271, 375–385 (2007). https://doi.org/10.1007/s00220-007-0199-1

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  • DOI: https://doi.org/10.1007/s00220-007-0199-1

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