4dN =4超级Yang-Mills的一个无微调公式
A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
摘要:
最近,结合二维格点和矩阵模型技术,提出了一种不需要微扰理论中的任何阶次微调的4dN =4超Yang-Mills理论的非微扰形式.本文利用Kaplan等人的解构方法,提出了一个类似的模型。平面波变形的二维晶格是从一个矩阵模型中解构出来的,而通过Myers效应,又增加了两个维度。换句话说,我们构造了一个D1-膜理论,由此产生了一个D3-膜理论。行动是比以前的配方简单得多,因此数值研究,这使我们能够测试的AdS/CFT对偶在完全非微扰的水平,变得容易得多。
英文摘要:
Recently, a nonperturbative formulation of 4d N=4 super Yang-Mills theory which does not require fine tuning at least to all order in perturbation theory has been proposed by combining two-dimensional lattice and matrix model techniques. In this paper we provide an analogous model by utilizing deconstruction approach of Kaplan et al. Two-dimensional lattice with a plane wave deformation is deconstructed from a matrix model and two additional dimensions emerge through the Myers effect. In other words we construct a D1-brane theory from which a D3-brane theory comes out. The action is much simpler than the previous formulation and hence numerical study, which enables us to test the AdS/CFT duality at fully nonperturbative level, becomes much easier.
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