Classification of local conformal nets. Case $c 1$
Annals of mathematics, Tome 160 (2004) no. 2, pp. 493-522
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We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge $c$ less than 1. The irreducible ones are in bijective correspondence with the pairs of $A$-$D_{2n}$-$E_{6,8}$ Dynkin diagrams such that the difference of their Coxeter numbers is equal to 1.
DOI :
10.4007/annals.2004.160.493
Affiliations des auteurs :
Yasuyuki Kawahigashi 1 ; Roberto Longo 2
@article{10_4007_annals_2004_160_493,
author = {Yasuyuki Kawahigashi and Roberto Longo},
title = {Classification of local conformal nets. {Case} $c < 1$},
journal = {Annals of mathematics},
pages = {493--522},
publisher = {mathdoc},
volume = {160},
number = {2},
year = {2004},
doi = {10.4007/annals.2004.160.493},
mrnumber = {123931},
zbl = {1083.46038},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.493/}
}
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Yasuyuki Kawahigashi; Roberto Longo. Classification of local conformal nets. Case $c < 1$. Annals of mathematics, Tome 160 (2004) no. 2, pp. 493-522. doi: 10.4007/annals.2004.160.493
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