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arXiv · 0710.2167

The connection problem associated with a Selberg type integral and the $q$-Racah polynomials

Katsuhisa Mimachi
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Abstract

The connection problem associated with a Selberg type integral is solved. The connection coefficients are given in terms of the $q$-Racah polynomials. As an application of the explicit expression of the connection coefficients, examples of the monodromy-invariant Hermitian form of non-diagonal type are presented. It is noteworthy that such Hermitian forms are intimately related with the correlation functions of non-diagonal type in $\hat{sl_2}$-confromal field theory.

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Katsuhisa Mimachi. 2007-10-11. The connection problem associated with a Selberg type integral and the $q$-Racah polynomials. https://arxiv.org/abs/0710.2167

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