论文标题
连接和循环交织
Connections and loops intertwinning
论文作者
论文摘要
在有限的图上,我们证明,整体的痕迹决定了合并和切割发电机在地球循环集合集合和Casimir操作员在单一连接的集合上之间的相互交织关系。通过将变形零件添加到发电机的循环中,该结果将扩展到Casimir操作员修改的Casimir操作员,以便相对于Yang-Mills度量进行自我伴随。
On a finite graph, we prove that trace of holonomies determine an intertwining relation between merge-and-split generators on collections of geodesic loops ensembles and Casimir operators on unitary connections. By adding a deformation part to the generator on loops, this result is extended to the Casimir operator modified in order to be self adjoint with respect to Yang- Mills measure.