Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

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Abstract

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, ℤ)-modular transformation properties of the kernels of dual indices.

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Spiridonov, V. P., & Vartanov, G. S. (2012). Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. Journal of High Energy Physics, 2012(6). https://doi.org/10.1007/JHEP06(2012)016

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