紧致区域上D=11超膜和矩阵模型的基态
The ground state of the D=11 supermembrane and matrix models on compact regions
摘要：
建立了一个分析紧致区域上矩阵模型零能边值问题的一般框架。本文在有限半径的球上得到了正则化超膜理论的质量算符，即超对称$SU(N)$矩阵模型的$\mathcal{N}=16$的基态波函数的存在唯一性.我们的结果依赖于相关的Dirichlet形式的结构和分解的超对称收费。它们还依赖于势能的多项式结构和系统的各种其他超对称性质。
英文摘要：
We establish a general framework for the analysis of boundary value problems of matrix models at zero energy on compact regions. We derive existence and uniqueness of ground state wavefunctions for the mass operator of the $D=11$ regularized supermembrane theory, that is the $\mathcal{N}=16$ supersymmetric $SU(N)$ matrix model, on balls of finite radius. Our results rely on the structure of the associated Dirichlet form and a factorization in terms of the supersymmetric charges. They also rely on the polynomial structure of the potential and various other supersymmetric properties of the system.
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。
