1203.5677 (V. P. Spiridonov et al.)

Elliptic hypergeometric integrals and 't Hooft anomaly matching
conditions    [PDF]

V. P. Spiridonov, G. S. Vartanov

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.

View original: http://arxiv.org/abs/1203.5677