The Racah algebra and superintegrable models

Abstract

The universal character of the Racah algebra will be illustrated by showing that it is at the center of the relations between the Racah polynomials, the recoupling of three su(1,1) representations and the symmetries of the generic second-order superintegrable model on the 2-sphere.

Prepared for proceedings of QTS8, Mexico City, August 2013. Review of the plenary talk given by Luc Vinet at this conference

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