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

Author

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

Mathematics

Physical Sciences

Roots

Basic sciences

DOI

10.1007/JHEP11(2013)128

More information

Latest update

3/29/2018