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 (SSIF 2011)
Mathematics