Basic hypergeometry of supersymmetric dualities
  We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensional supersymmetric dual theories. We give both analytic proofs and physical interpretations of the presented identities. 
Ilmar Gahramanov and Hjalmar Rosengren
hep-th math-ph math.MP