论文标题
尼古拉（Nicolai
The Nicolai map for super Yang-Mills theory and application to the supermembrane
论文作者
论文摘要
通过在全球超对称理论中整合所有抗强制变量和辅助变量而获得的非局部骨气理论的特征是尼古拉图。我们以综合耦合流动器的有序指数为单位，为后者提供了通用公式，可以在规范上构造。同样，对于超对称量规的理论，这使我们能够用树图明确地扰动地构建尼古拉图。对于脱壳超对称性，这在任何规格中都起作用，在壳体中，需要Landau仪表。众所周知，已知$ d {=} 10 $超级阳米尔斯的尺寸超级对称SU（$ n $）矩阵力学（BFSS模型）可以通过单个区域范围的范围的范围来提供$ d {=} 11 $超级脑的正规化。我们展示了一个定义明确的相应的尼古拉地图如何在小张力机制中触及线性地线性地线性化，并指向计算顶点操作器相关器的道路。
The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric theory is characterized by the Nicolai map. We present a universal formula for the latter in terms of an ordered exponential of the integrated coupling flow operator, which can be canonically constructed. Also for supersymmetric gauge theories, this allows us to perturbatively construct the Nicolai map explicitly in terms of tree diagrams. For off-shell supersymmetry this works in any gauge, in the on-shell case the Landau gauge is required. The dimensional reduction of $D{=}10$ super Yang-Mills to maximally supersymmetric SU($N$) matrix mechanics (the BFSS model) is known to provide a regularization of the $D{=}11$ supermembrane in light-cone gauge via its incarnation as a one-dimensional gauge theory of area-preserving membrane diffeomorphisms. We show how a well-defined corresponding Nicolai map perturbatively linearizes the supermembrane in the small-tension regime and points the way for a computation of vertex-operator correlators.
