超环面3-Sasakian流形上的7维超对称Yang-Mills
7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds
摘要：
本文研究了3-Sasakian流形上的7 D极大超对称Yang-Mills理论。对于超Kähler锥是超环面的流形，我们导出了配分函数的微扰部分。答案涉及到一个特殊的功能，计算整数格点的有理凸多面体锥确定的超环面数据。这也给了文献中全纯函数的计数结果一个更几何的结构。基于物理直观，我们给出了这类函数的一个因式分解结果。使用指数计算的这种因式分解的充分证明将在即将发表的论文中详细说明。
英文摘要：
We study 7D maximally supersymmetric Yang-Mills theory on 3-Sasakian manifolds. For manifolds whose hyper-Kähler cones are hypertoric we derive the perturbative part of the partition function. The answer involves a special function that counts integer lattice points in a rational convex polyhedral cone determined by hypertoric data. This also gives a more geometric structure to previous enumeration results of holomorphic functions in the literature. Based on physics intuition, we provide a factorisation result for such functions. The full proof of this factorisation using index calculations will be detailed in a forthcoming paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
