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Modular invariants for affine\(\widehat{SU}(3)\) theories at prime heights

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Abstract

A proof is given for the existence of two and only two modular invariant partition functions in affine\(\widehat{SU}(3)_k \) theories at heightsn=k+3 which are prime numbers. Arithmetic properties of the ring of algebraic integers ℤ(ω) which is related toSU(3) weights are extensively used.

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Author notes

  1. J. Weyers

    Present address: Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-La-Neuve, Belgium

Authors and Affiliations

  1. Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-La-Neuve, Belgium

    Ph. Ruelle & E. Thiran

  2. Theory Division, CERN, Geneva 23, Switzerland

    J. Weyers

Authors
  1. Ph. Ruelle
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  2. E. Thiran
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  3. J. Weyers
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Additional information

Communicated by K. Gawedzki

Chercheur IISN, Address after October 1: Dublin Institute for Advanced Studies, Dublin, Ireland

Chercheur IISN

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Ruelle, P., Thiran, E. & Weyers, J. Modular invariants for affine\(\widehat{SU}(3)\) theories at prime heights. Commun.Math. Phys. 133, 305–322 (1990). https://doi.org/10.1007/BF02097369

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  • DOI: https://doi.org/10.1007/BF02097369

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