User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Comments on the links between SU(3) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards

Primary tabs

Bauer, Michel Coste, A. Itzykson, C. Ruelle, Philippe [UCL]

(eng) We examine the proposal made recently that the su(3) modular invariant partition functions could be related to the geometry of the complex Fermat curves. Although a number of coincidences and similarities emerge between them and certain algebraic curves related to triangular billiards, their meaning remains obscure. In an attempt to go beyond the su(3) case, we show that any rational conformal field theory determines canonically a Riemann surface. Comment: 56 pages, 4 eps figures, LaTeX, uses epsf

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1997
Journal information "Journal of Geometry and Physics" - Vol. 22, no. 2, p. 134-189 (1997)
Publisher Elsevier BV * North-Holland (Amsterdam)
issn 0393-0440
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Keywords High Energy Physics - Theory
Links
Bibliographic reference Bauer, Michel ; Coste, A. ; Itzykson, C. ; Ruelle, Philippe. Comments on the links between SU(3) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards. In: Journal of Geometry and Physics, Vol. 22, no. 2, p. 134-189 (1997)
Permanent URL http://hdl.handle.net/2078/31586