A new pentagon identity for the tetrahedron index
Journal article, 2013

Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a special combination of hyperbolic Gamma functions. Following their idea we have obtained a new pentagon identity for a certain combination of so-called tetrahedron indices arising from the equality of superconformal indices of dual three-dimensional N=2 supersymmetric theories and give a mathematical proof of it.

Nonperturbative Effects

Supersymmetry and Duality

Supersymmetric gauge theory


Ilmar Gahramanov

Azerbaijan National Academy of Sciences

Humboldt University of Berlin

Hjalmar Rosengren

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

128 1-11

Subject Categories


Physical Sciences


Basic sciences



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