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The 3-state Potts model and Rogers-Ramanujan series

Central European Journal of Mathematics

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Abstract

We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A (2)2 -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10–17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185–206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W 3-algebra.

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Authors and Affiliations

  1. Department of Mathematical Sciences, State University of New York at Binghamton, Binghamton, NY, 13902-6000, USA

    Alex J. Feingold

  2. Department of Mathematics and Statistics, State University of New York at Albany, 1400 Washington Avenue, Albany, NY, 12222, USA

    Antun Milas

Authors
  1. Alex J. Feingold
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  2. Antun Milas
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Correspondence to Alex J. Feingold.

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Feingold, A.J., Milas, A. The 3-state Potts model and Rogers-Ramanujan series. centr.eur.j.math. 11, 1–16 (2013). https://doi.org/10.2478/s11533-012-0086-7

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  • DOI: https://doi.org/10.2478/s11533-012-0086-7

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