Integral pentagon relations for 3d superconformal indices
Paper in proceedings, 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.

manifolds

Basic hypergeometric function

elliptic hypergeometry

3-manifolds

superconformal index

n=1

dualities

supersymmetric gauge-theories

mirror symmetry

pentagon identity

operators

q-hypergeometric function

dimensions

Author

I. Gahramanov

Bogazici Universitesi

Hjalmar Rosengren

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

String-Math 2014

Vol. 93 167-175

Subject Categories

Mathematics

DOI

10.1090/pspum/093/01569

More information

Latest update

1/31/2020