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

Operator Algebras 2008-11-26 v4 High Energy Physics - Theory Mathematical Physics Functional Analysis math.MP

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.

Keywords

Cite

@article{arxiv.math/0505130,
  title  = {The classification of non-local chiral CFT with c<1},
  author = {Y. Kawahigashi and R. Longo and U. Pennig and K. -H. Rehren},
  journal= {arXiv preprint arXiv:math/0505130},
  year   = {2008}
}

Comments

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