标题： 不同维度下的超对称杨-米尔斯量子力学 显示英文标题

标题： Supersymmetric Yang-Mills quantum mechanics in various dimensions

摘要： 超对称杨-米尔斯量子力学（SYMQM）源于时空维度为$D$的杨-米尔斯场论约化到$D-1$维空间中的一个点。它也可以被视为原始理论零动量模式的有效量子力学。这些系统在80年代初被考虑为简单的超对称模型。独立地，零体积场论（特别是纯杨-米尔斯理论）被用作小体积展开的起点，这是早期格点计算的重要理论工具。后来，在$D=10, SU(\infty)$SYMQM 和 D0 膜的 M 理论等价假设提出后，这些模型引起了新一轮的兴趣。本次演讲将介绍一些关于具有 SU(2) 规范对称性的 D=4 系统的新结果。 显示英文摘要

摘要： Supersymmetric Yang-Mills quantum mechanics (SYMQM) results from the dimensional reduction of the Yang-Mills field theory in $D$ space-time dimensions to a single point in the $D-1$ dimensional space. It can be also viewed as the effective quantum mechanics of zero momentum modes of the original theory. These systems were first considered in 80's as simple models with supersymmetry. Independently, zero-volume field theories (especially pure Yang-Mills) were employed as the starting point of the small volume expansion, which is an important theoretical tool complementary to early lattice calculations. Later the models attracted a new wave of interest after the hypothesis of the equivalence, between the $D=10, SU(\infty)$ SYMQM and a M-theory of D0 branes. In this talk some new results obtained for the D=4 system with SU(2) gauge symmetry will be presented.