Integral pentagon relations for 3d superconformal indices
Paper in proceeding, 2016

The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals. Some of these integral identities have the form of the pentagon identity which can be interpreted as the 2-3 Pachner move for triangulated 3-manifolds.

n=1

dualities

operators

q-hypergeometric function

elliptic hypergeometry

pentagon identity

manifolds

supersymmetric gauge-theories

dimensions

mirror symmetry

superconformal index

Basic hypergeometric function

3-manifolds

Author

I. Gahramanov

Bogazici University

Hjalmar Rosengren

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

String-Math 2014

Vol. 93 167-175

Subject Categories

Mathematics

More information

Latest update

10/25/2022