A duality web of linear quivers

We show that applying the Bailey lemma to elliptic hypergeometric integrals on the AnAn root system leads to a large web of dualities for N=1N=1 supersymmetric linear quiver theories. The superconformal index of Seiberg's SQCD with SU(Nc)SU(Nc) gauge group and SU(Nf)×SU(Nf)×U(1)SU(Nf)×SU(Nf)×U(1) flavour symmetry is equal to that of Nf−Nc−1Nf−Nc−1 distinct linear quivers. Seiberg duality further enlarges this web by adding new quivers. In particular, both interacting electric and magnetic theories with arbitrary NcNc and NfNf can be constructed by quivering an s  -confining theory with Nf=Nc+1Nf=Nc+1.