On conformal field theories with low number of primary fields

Details On conformal field theories with low number of primary fields On conformal field theories with low number of primary fields

2008-11-12

arxiv.org/abs/0811.1904v2

J.Phys.A42:304009,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. Deleted two $SO(3)_{4r}$ conformal data and added one new one

Scientific paper

10.1088/1751-8113/42/30/304009

Using Verlinde formula and the symmetry of the modular matrix we describe an algorithm to find all conformal field theories with low number of primary fields. We employ the algorithm on up to eight primary fields. Four new conformal field theories are found which do not appear to come from current algebras. This supports evidence to the fact that rational conformal field theories are far richer than suspected before.

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