The classification of non-local chiral CFT with c<1
arXiv:math/0505130 · doi:10.1007/s00220-007-0199-1
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.
arXiv comment13 pages. v3: additional material (concerning the Hilbert spaces) added
References in corpus (5)
- Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory
- Nets of Subfactors
- Chiral structure of modular invariants for subfactors
- Local fields in boundary conformal QFT
- Classification of Two-dimensional Local Conformal Nets with c<1 and 2-cohomology Vanishing for Tensor Categories
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- On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets