On a Selberg-Schur integral

SERGIO IGURI

arXiv:math-ph

Año: 2008 vol. 0810 p. 555201 - 555216

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,R) Wess-Zumino-Novikov-Witten model can be obtained by analytical continuation of these integrals.