Geodesic
Mathematical structures behind supersymmetric dualities
Archivum mathematicum, Tome 51 (2015) no. 5, pp. 273-286.

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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.
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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     title = {Mathematical structures behind supersymmetric dualities},
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Gahramanov, Ilmar. Mathematical structures behind supersymmetric dualities. Archivum mathematicum, Tome 51 (2015) no. 5, pp. 273-286. doi : 10.5817/AM2015-5-273. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-5-273/

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