Mathematical structures behind supersymmetric dualities

Gahramanov, Ilmar

Archivum mathematicum, Tome 51 (2015) no. 5, pp. 273-286

Abstract (VO)

The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.

Détail

DOI : 10.5817/AM2015-5-273

Classification : 33D60, 33D90, 33E20, 39A13, 81T60
Keywords: elliptic hypergeometric function; hypergeometric series on root systems; basic hypergeometric integrals; hyperbolic hypergeometric integrals; superconformal index; supersymmetric duality; Seiberg duality; mirror symmetry

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