2017/01/19 by Cyril Closset, Heeyeon Kim, Brian Willett · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep03(2017)074
84 pages plus appendix, 8 figures; v2: added references
arxiv created 2017/01/19 · arxiv updated 2017/04/05
We study three-dimensional N=2 supersymmetric gauge theories on Mg,p, an oriented circle bundle of degree p over a closed Riemann surface, Σg. We compute the Mg,p supersymmetric partition function and correlation functions of supersymmetric loop operators. This uncovers interesting relations between observables on manifolds of different topologies. In particular, the familiar supersymmetric partition function on the round S3 can be understood as the expectation value of a so-called "fibering operator" on S2 × S1 with a topological twist. More generally, we show that the 3d N=2 supersymmetric partition functions (and supersymmetric Wilson loop correlation functions) on Mg,p are fully determined by the two-dimensional A-twisted topological field theory obtained by compactifying the 3d theory on a circle. We give two complementary derivations of the result. We also discuss applications to F-maximization and to three-dimensional supersymmetric dualities.