论文标题
在三维超对称理论中的二元性级联反应的非扰动测试
Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
论文作者
论文摘要
已经猜想二元性级联发生在$ \ Mathcal {n} = 3 $超对称Yang-Mills Chern-Simons理论，具有量规组$ u（n）_k \ times u（n+m）_ { - k} _ { - k} $ coupled to tus tus tus tus tus tus tus tuce。 Brane图片表明，这种双重性级联可以推广到一类3D $ \ MATHCAL {N} = 3 $ supersymmetric Quiver仪表理论，来自所谓的Hanany-Witten类型Brane配置。在本文中，我们使用超对称性定位对双重性级联反应进行非扰动测试。我们专注于$ s^3 $分区功能，并从二元级联级别证明预测。我们还讨论了我们的结果可用于为更一般的理论生成新的双重性，这些理论包括较少的超对称理论和没有毛构造的理论。
It has been conjectured that duality cascade occurs in the $\mathcal{N}=3$ supersymmetric Yang-Mills Chern-Simons theory with the gauge group $U(N )_k \times U(N+M )_{-k}$ 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 $S^3$ 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.
