Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

V. P. Spiridonov, G. S. Vartanov

Published 2012-03-26, updated 2012-03-30Version 2

Elliptic hypergeometric integrals describe superconformal indices of 4d supersymmetric field theories. We show that all 't Hooft anomaly matching conditions for Seiberg dual theories can be derived from $SL(3,\mathbb{Z})$-modular transformation properties of the kernels of dual indices.