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An elliptic hypergeometric integral with W(F_4) symmetry

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arxiv 0909.4793 v1 pith:6J2HHPJY submitted 2009-09-25 math.CA

Fokko J. van de Bult This is my paper
classification math.CA
keywords transformationhypergeometricellipticsymmetryarticlebasicbetaconsider
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In this article we give a new transformation between elliptic hypergeometric beta integrals, which gives rise to a Weyl group symmetry of type F_4. The transformation is a generalization of a series transformation discovered by Langer, Schlosser, and Warnaar. Moreover we consider various limits of this transformation to basic hypergeometric functions obtained by letting p tend to 0.

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  1. Generalized Schur partition functions and RG flows

    hep-th 2025-06 conditional novelty 6.0 of 10

    The generalized Schur partition function of SU(2) N_f=4 SQCD, evaluated at alpha = h^vee_g / 6, reproduces the Schur indices of every SCFT in the Deligne-Cvitanovic rank-one series.

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