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Regge and Okamoto Symmetries

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Abstract

We will relate the surprising Regge symmetry of the Racah-Wigner 6 j symbols to the surprising Okamoto symmetry of the Painlevé VI differential equation. This then presents the opportunity to give a conceptual derivation of the Regge symmetry, as the representation theoretic analogue of the derivation in [5, 3] of the Okamoto symmetry.

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  1. École Normale Supérieure et CNRS, 45 rue d’Ulm, 75005, Paris, France

    Philip P. Boalch

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  1. Philip P. Boalch
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Correspondence to Philip P. Boalch.

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Communicated by A. Connes

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Boalch, P.P. Regge and Okamoto Symmetries. Commun. Math. Phys. 276, 117–130 (2007). https://doi.org/10.1007/s00220-007-0328-x

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  • DOI: https://doi.org/10.1007/s00220-007-0328-x

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