Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorBozkurt, Deniz N.-
dc.contributor.authorGahramanov, Ilmar-
dc.contributor.authorMullahasanoglu, Mustafa-
dc.description.abstractWe study the three-dimensional lens partition function for N=2 supersymmetric gauge dual theories on S3/Zr by using the gauge/Yang-Baxter equation correspondence. This correspondence relates supersymmetric gauge theories to exactly solvable models of statistical mechanics. The equality of partition functions for the three-dimensional supersymmetric dual theories can be written as an integral identity for hyperbolic hypergeometric functions. We obtain such an integral identity which can be written as the star-triangle relation for Ising type integrable models and as the integral pentagon identity. The latter represents the basic 2-3 Pachner move for triangulated 3-manifolds. A special case of our integral identity can be used for proving orthogonality and completeness relation of the Clebsch-Gordan coefficients for the self-dual continuous series of Uq(osp(1|2)).en_US
dc.publisherPhysical Review Den_US
dc.relation.ispartofseriesVol. 103;-
dc.titleLens partition function, pentagon identity, and star-triangle relationen_US
Appears in Collections:Publication

Files in This Item:
File Description SizeFormat 
Lens partition function, pentagon identity, and star-triangle relation.pdf616.75 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.