A duality web of linear quivers

We show that applying the Bailey lemma to elliptic hypergeometric integrals on the A(n) root system leads to a large web of dualities for N = 1 supersymmetric linear quiver theories. The superconformal index of Seiberg's SQCD with SU (N-c) gauge group and SU (N-f) x SU (N-f) x U(1) flavour symmetry is equal to that of N-f - N-c - 1 distinct linear quivers. Seiberg duality further enlarges this web by adding new quivers. In particular, both interacting electric and magnetic theories with arbitrary N-c and N-f can be constructed by quivering an s-confining theory with N-f = N-c + 1. (C) 2016 The Author(s). Published by Elsevier B.V.