Localization of Gauge Theories on the Three-Sphere
Localization of Gauge Theories on the Three-Sphere
复制标题
三球体规范理论的本地化
DOI：
10.7907/8amg-0b70
复制
发表时间：
2012
影响因子：
3.4
通讯作者：
Itamar Yaakov
中科院分区：
文献类型：
--
作者：
Itamar Yaakov
我们描述了定域化技术在三维超对称规范理论路径积分中的应用。局部化过程将BPS能观量期望值的计算简化为矩阵模型中的计算。我们描述了用于一般箭图规范理论的这个模型的组成部分，以及超对称形变和可观测项的结合。我们使用矩阵模型表达式来检验超对称规范理论的几个对偶猜想。我们对三维箭图规范理论的镜像对称性和类Seiberg对偶进行了检验。具体地说，我们显式地证明了变形的高度非平凡函数对的配分函数是一致的。我们描述了可以从配分函数的形式推断的这些对偶性的扩展。本文回顾了矩阵模型在重整化群流和三维空间共形场理论研究中的应用。
We describe the application of localization techniques to the path integral for supersymmetric gauge theories in three dimensions. The localization procedure reduces the computation of the expectation value of BPS observables to a calculation in a matrix model. We describe the ingredients of this model for a general quiver gauge theory and the incorporation of supersymmetric deformations and observables. We use the matrix model expressions to test several duality conjectures for supersymmetric gauge theories. We perform tests of mirror symmetry of three-dimensional quiver gauge theories and of Seiberg-like dualities. Specifically, we explicitly show that the partition functions of the dual pairs, which are highly nontrivial functions of the deformations, agree. We describe extensions of these dualities which can be inferred from the form of the partition functions. We review the application of the matrix model to the study of renormalization group flow and the space of conformal field theories in three dimensions.
影响因子：
5.4
作者：
N. Drukker;J. Plefka;D. Young
通讯作者：
N. Drukker;J. Plefka;D. Young