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

The connection problem associated with a Selberg type integral and the q -Racah polynomials 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 -conformal field theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

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

Forum Mathematicum , Volume 25 (6) – Nov 1, 2013

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2011.139
Publisher site
See Article on Publisher Site

Abstract

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 -conformal field theory.

Journal

Forum Mathematicumde Gruyter

Published: Nov 1, 2013

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