TY - JOUR

T1 - Supersymmetric partition functions and the three-dimensional A-twist

AU - Closset, Cyril

AU - Kim, Heeyeon

AU - Willett, Brian

PY - 2017/3/14

Y1 - 2017/3/14

N2 - We study three-dimensional N=2 supersymmetric gauge theories on Mg,p, an oriented circle bundle of degree p over a closed Riemann surface, Σ g . 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 S 3 can be understood as the expectation value of a so-called “fibering operator” on S 2 ×S 1 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.

AB - We study three-dimensional N=2 supersymmetric gauge theories on Mg,p, an oriented circle bundle of degree p over a closed Riemann surface, Σ g . 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 S 3 can be understood as the expectation value of a so-called “fibering operator” on S 2 ×S 1 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.

UR - http://inspirehep.net/record/1508874

U2 - 10.1007/JHEP03(2017)074

DO - 10.1007/JHEP03(2017)074

M3 - Article

SN - 1126-6708

JO - JHEP

JF - JHEP

M1 - 74

ER -