Abstract
It has been conjectured that duality cascade occurs in the mathcal{N} = 3 supersymmetric Yang-Mills Chern-Simons theory with the gauge group U(N)k × U(N + M)−k coupled to two bi-fundamental hypermultiplets. The brane picture suggests that this duality cascade can be generalized to a class of 3d mathcal{N} = 3 supersymmetric quiver gauge theories coming from so-called Hanany-Witten type brane configurations. In this paper we perform non-perturbative tests of the duality cascades using supersymmetry localization. We focus on S3 partition functions and prove predictions from the duality cascades. We also discuss that our result can be applied to generate new dualities for more general theories which include less supersymmetric theories and theories without brane constructions.
Highlights
We focus on S3 partition functions and prove that the problem of showing the duality cascades is reduced to show a duality relation coming from a worldvolume theory of a building block of Hanany-Witten type brane configurations which we refer to as the local theory
In this paper we have studied the conjectural duality cascades in the 3d N = 3 supersymmetric gauge theories coming from the Hanany-Witten brane configurations
We have made the non-perturbative tests of the duality cascades using supersymmetry localization
Summary
After the discovery of the Seiberg duality, various dualities which have natural interpretations from string theory have been found (see e.g. [9, 10, 23]). [9, 10, 23]) It was pointed out in [17, 18] that the duality cascade for the ABJ theory can be captured from the viewpoint of the brane constructions, especially using the Hanany-Witten effect. We see that this viewpoint naturally leads to the duality cascade for general 3d SUSY gauge theories
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