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

DOI10.1016/S0393-0440(96)00027-7zbMath0895.14009arXivhep-th/9604104OpenAlexW2051868040MaRDI QIDQ1363408

Michel Bauer, Antoine D. Coste, Philippe Ruelle, Claude Itzykson

Publication date: 2 September 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9604104

zbMATH Keywords

partition functionabelian varietiesRiemann surfaceaffine Lie algebrasrational conformal field theorytriangulated surfacesmodular invariantJacobian of a Fermat curve

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Jacobians, Prym varieties (14H40) Complex multiplication and abelian varieties (14K22)

Related Items (8)

Modular data: the algebraic combinatorics of conformal field theory ⋮ The \(W_N\) minimal model classification ⋮ Congruence subgroups and generalized Frobenius-Schur indicators ⋮ GENERALISED FERMAT HYPERMAPS AND GALOIS ORBITS ⋮ Discrete symmetries of unitary minimal conformal theories. ⋮ Holomorphic modular bootstrap revisited ⋮ On rational conformal field theories: explicit modular formulae ⋮ Character vectors of strongly regular vertex operator algebras

This page was built for publication: Comments on the links between \(su(3)\) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards