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

Bauer, Michel;Coste, A.;Itzykson, C.;Ruelle, Philippe
(1997) Journal of Geometry and Physics — Vol. 22, n° 2, p. 134-189 (1997)

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Authors
  • Bauer, Michel
    Author
  • Coste, A.
    Author
  • Itzykson, C.
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  • Ruelle, Philippeorcid-logoUCLouvain
    Author
Abstract
(en) 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
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Bauer, M., Coste, A., Itzykson, C., & Ruelle, P. (1997). Comments on the links between SU(3) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards. Journal of Geometry and Physics, 22(2), 134-189. https://doi.org/10.1016/S0393-0440(96)00027-7 (Original work published 1997)