On a Selberg-Schur integral

Details On a Selberg-Schur integral On a Selberg-Schur integral

2008-10-30

arxiv.org/abs/0810.5552v1

Lett. Math. Phys. 89 (2) (2009) 141-158

Physics

Mathematical Physics

16 pages

Scientific paper

10.1007/s11005-009-0330-7

A generalization of Selberg's beta integral involving Schur polynomials associated with partitions with entries not greater than 2 is explicitly computed. The complex version of this integral is given after proving a general statement concerning the complex extensions of Selberg-Schur integrals. All these results have interesting applications in both mathematics and physics, particularly in conformal field theory, since the conformal blocks for the $SL(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten model can be obtained by analytical continuation of these integrals.

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