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On discrete symmetries in su(2) and su(3) affine theories and related graphs

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Lienart, S. Verhoeven, O. Ruelle, Philippe [UCL]

(eng) 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). Comment: 34 pages, 4 eps figures

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2001
Journal information "Nuclear Physics, Section B" - Vol. B592, p. 479-511 (2001)
Peer reviewed yes
e-issn 1873-1562
issn 0550-3213
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Keywords High Energy Physics - Theory
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Bibliographic reference Lienart, S. ; Verhoeven, O. ; Ruelle, Philippe. On discrete symmetries in su(2) and su(3) affine theories and related graphs. In: Nuclear Physics, Section B, Vol. B592, p. 479-511 (2001)
Permanent URL http://hdl.handle.net/2078/30744