Abstract
A method is developed for constructing single valued rational 4-point functions of primary fields for su2 conformal current algebra satisfying the Knizhnik-Zamolodchikov equation. For integer conformal dimensions Δ these rational solutions are proven to be in one-to-one correspondence with non-diagonal modular invariant partition functions of the D-even and E-even series of the ADE classification.
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In Memory of Nikolai Nikolaevich Bogolyubov and Mikhail Constantinovich Polivanov
Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, France. Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 3, pp. 507–521, September, 1992.
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Michel, L., Stanev, Y.S. & Todorov, I.T. D-E classfiication of the local extensions ofsu 2 current algebras. Theor Math Phys 92, 1063–1074 (1992). https://doi.org/10.1007/BF01017084
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DOI: https://doi.org/10.1007/BF01017084