On Discrete Symmetries in su(2) and su(3) Affine Theories and Related Graphs

Details On Discrete Symmetries in su(2) and su(3) Affine Theories and Related Graphs On Discrete Symmetries in su(2) and su(3) Affine Theories and Related Graphs

2000-07-12

arxiv.org/abs/hep-th/0007095v1

Nucl.Phys. B592 (2001) 479-511

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 4 eps figures

Scientific paper

10.1016/S0550-3213(00)00584-8

We classify the possible finite symmetries of conformal field theories with an affine Lie algebra su(2) and su(3), and discuss the results from the perspective of the graphs associated with the modular invariants. The highlights of the analysis are first, that the symmetries we found in either case are matched by the graph data in a perfect way in the case of su(2), but in a looser way for su(3), and second, that some of the graphs lead naturally to projective representations, both in su(2) and in su(3).

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