Integral pentagon relations for 3d superconformal indices
Paper i 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.

Basic hypergeometric function

manifolds

n=1

3-manifolds

pentagon identity

operators

dualities

dimensions

superconformal index

supersymmetric gauge-theories

elliptic hypergeometry

q-hypergeometric function

mirror symmetry

Författare

I. Gahramanov

Hjalmar Rosengren

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

String-Math 2014

Vol. 93 167-175

Ämneskategorier

Matematik

DOI

10.1090/pspum/093/01569

ISBN

978-1-4704-1992-9

Mer information

Skapat

2017-10-08