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.
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
Författare
I. Gahramanov
Bogazici Universitesi
Hjalmar Rosengren
Chalmers, Matematiska vetenskaper, Matematik
Göteborgs universitet
String-Math 2014
Vol. 93 167-175
Ämneskategorier
Matematik
DOI
10.1090/pspum/093/01569