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

May 08, 2005

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.

open access link
Commun.Math.Phys.271:375-385,2007

@article{Kawahigashi:2005qj,
author = "Kawahigashi, Yasuyuki and Longo, Roberto and Pennig,
Ulrich and Rehren, Karl-Henning",
title = "{The Classification of non-local chiral CFT with c<1}",
journal = "Commun. Math. Phys.",
volume = "271",
year = "2007",
pages = "375-385",
doi = "10.1007/s00220-007-0199-1",
eprint = "math/0505130",
archivePrefix = "arXiv",
primaryClass = "math-oa",
SLACcitation = "%%CITATION = MATH/0505130;%%"
}

Keywords:

*none*