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On the schwarz problem for the\(\widehat{{\text{su}}}_{\text{2}} \) Knizhnik-Zamolodchikov equation

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We study the monodromy representationsℬ k,Iof the mapping class groupℬ 4 acting on 4-point blocks satisfying the Knizhnik-Zamolodchikov equation for the levelk su2 current algebra. We classify all irreducibleℬ k,Iwhich are realized by finite groups; we also display finite irreducible components for the reducible representations corresponding tok = 10.

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  1. International Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria

    Yassen S. Stanev & Ivan T. Todorov

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  1. Yassen S. Stanev
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  2. Ivan T. Todorov
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Supported by the Federal Ministry of Science and Research, Austria.

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Stanev, Y.S., Todorov, I.T. On the schwarz problem for the\(\widehat{{\text{su}}}_{\text{2}} \) Knizhnik-Zamolodchikov equation. Lett Math Phys 35, 123–134 (1995). https://doi.org/10.1007/BF00750762

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  • DOI: https://doi.org/10.1007/BF00750762

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