Geodesic
Classification of local conformal nets. Case $c 1$
Yasuyuki Kawahigashi1 ; Roberto Longo2
1Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, Japan
2Department of Mathematics, University of Rome "Tor Vergata", 00133 Rome, Italy
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

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

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