Geodesic
Classification of local conformal nets. Case $c 1$
Yasuyuki Kawahigashi1 ; Roberto Longo2
1 Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, Japan
2 Department of Mathematics, University of Rome "Tor Vergata", 00133 Rome, Italy
Annals of mathematics, Tome 160 (2004) no. 2, pp. 493-522.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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

Yasuyuki Kawahigashi 1 ; Roberto Longo 2

1 Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, Japan
2 Department of Mathematics, University of Rome "Tor Vergata", 00133 Rome, Italy 
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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. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.493/

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