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An elliptic hypergeometric integral with W(F_4) symmetry

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abstract

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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2025 1

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representative citing papers

Generalized Schur partition functions and RG flows

hep-th · 2025-06-16 · conditional · novelty 6.0

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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  • Generalized Schur partition functions and RG flows hep-th · 2025-06-16 · conditional · none · ref 62 · internal anchor

    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.