2021年7月
Non-perturbative tests of duality cascades in three dimensional supersymmetric gauge theories
Journal of High Energy Physics
- ,
- 巻
- 2021
- 号
- 7
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/jhep07(2021)012
- 出版者・発行元
- Springer Science and Business Media LLC
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.
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.
- リンク情報
- ID情報
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- DOI : 10.1007/jhep07(2021)012
- eISSN : 1029-8479
- arXiv ID : arXiv:2010.15656