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arXiv · 1309.2195

A new pentagon identity for the tetrahedron index

Ilmar Gahramanov·Hjalmar Rosengren
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Abstract

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.

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Ilmar Gahramanov, Hjalmar Rosengren. 2013-11-19. A new pentagon identity for the tetrahedron index. https://doi.org/10.1007/jhep11(2013)128

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