A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
arXiv:1309.6434 · doi:10.1007/JHEP03(2014)064
Abstract
We study two well-known classes of dualities in three dimensional N=2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have Chern-Simons terms in the action. An RG flows connecting the first dual pair to the second one has been studied in the past and tested on the partition function on the squashed three sphere. Recently an opposite RG flow connecting the second dual pair to the first one has been studied in the case of unitary gauge groups. In this paper we study this flow on the partition function on the squashed three sphere. We verify that the equality between the partition functions of the original dual models is preserved in the IR, where the other dual pair is reached. We generalize the analysis to the case of symplectic and of orthogonal groups.
25 pages
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Cited by in corpus (8)
- IR Dualities in General 3d Supersymmetric SU(N) QCD Theories
- Chern-Simons and RG Flows: Contact with Dualities
- String theory and the 4D/3D reduction of Seiberg duality. A Review
- Generalized Giveon-Kutasov duality
- Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
- A journey to 3d: exact relations for adjoint SQCD from dimensional reduction
- The braneology of 3D dualities
- 4D/3D reduction of dualities: mirrors on the circle