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.

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

Författare

I. Gahramanov

Bogazici Universitesi

Hjalmar Rosengren

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

String-Math 2014

Vol. 93 167-175

Ämneskategorier

Matematik

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Senast uppdaterat

2022-10-25