Abstract
We study the integral Bailey lemma associated with the An-root system and identities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as superconformal indices of four-dimensional \( \mathcal{N} \) = 1 quiver gauge theories with the gauge groups being products of SU(n + 1), we provide evidence for various new dualities. Further confirmation is achieved by explicitly checking that the ‘t Hooft anomaly matching conditions holds. We discuss a flavour symmetry breaking phenomenon for supersymmetric quantum chromodynamics (SQCD), and by making use of the Bailey lemma we indicate its manifestation in a web of linear quivers dual to SQCD that exhibits full s-confinement.
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Brünner, F., Spiridonov, V.P. 4d \( \mathcal{N} \) = 1 quiver gauge theories and the An Bailey lemma. J. High Energ. Phys. 2018, 105 (2018). https://doi.org/10.1007/JHEP03(2018)105
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DOI: https://doi.org/10.1007/JHEP03(2018)105