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The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals.
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Y. Terashima and M. Yamazaki, Emergent 3-manifolds from 4d Superconformal Indices
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2010
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E. M. Rains, Transformations of elliptic hypergeometric integrals
2010
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2011
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A. Kapustin, H. Kim and J. Park, Dualities for 3d Theories with Tensor Matter
2011
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2011
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V. Spiridonov and G. Vartanov, Elliptic Hypergeometry of Supersymmetric Dualities
2011
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2012
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I. Gahramanov and H. Rosengren, A new pentagon identity for the tetrahedron index
2013
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2013
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I. Gahramanov and G. Vartanov, Extended global symmetries for 4D N N = 1 SQCD theories
2013
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Y. Terashima and M. Yamazaki, Semiclassical Analysis of the 3d/3d Relation
2013
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T. Dimofte, D. Gaiotto, and S. Gukov, Gauge Theories Labelled by Three-Manifolds
2014
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2014
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C. Hwang, H. C. Kim and J. Park, Factorization of the 3d superconformal index
2014
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