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Hidden E-Type Structures in Dilute A Models

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Physical Combinatorics

Part of the book series: Progress in Mathematics ((PM,volume 191))

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Abstract

The hidden E 7 (E 6) structure has been conjectured for the minimal model \({{\mathcal{M}}_{{4.5}}}({{\mathcal{M}}_{{6.7}}})\) perturbed by Φ1.2 in the context of conformal field theory (CFT). Motivated by this, we examine the dilute A4.6 models, which are expected to be corresponding lattice models. Thermodynamics of the equivalent one-dimensional quantum systems is analyzed via the quantum transfer matrix approach. Appropriate auxiliary functions, related to kinks in the theory, play a role in constructing functional relations among transfer matrices. We successfully recover the universal Y-systems and thereby the thermodynamic Bethe ansatz equations for E 6.7 from the dilute A 6.4 model, respectively.

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Authors and Affiliations

  1. Department of Physics Faculty of Science, Shizuoka University, Ohya 836, Shizuoka, Japan

    J. Suzuki

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  1. J. Suzuki
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Editors and Affiliations

  1. Research Institute for Mathematical Sciences (RIMS), Kyoto University, 606-01, Kyoto, Japan

    Masaki Kashiwara  & Tetsuji Miwa  & 

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Suzuki, J. (2000). Hidden E-Type Structures in Dilute A Models. In: Kashiwara, M., Miwa, T. (eds) Physical Combinatorics. Progress in Mathematics, vol 191. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1378-9_7

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  • DOI: https://doi.org/10.1007/978-1-4612-1378-9_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7121-5

  • Online ISBN: 978-1-4612-1378-9

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