论文标题

来自矩阵模型的本地字符串压缩

Local String Compactifications from Matrix Model

论文作者

Honda, Masaki

论文摘要

矩阵模型被提出为超弦理论的非扰动公式。我们研究了矩阵模型和场理论之间的分析结果的具体对应关系。在本文中,我们专注于模糊球体和复杂的投影空间。我们在连续/模糊球体上显示了Dirac运算符的零模式的波函数/状态对应关系。此外,我们为矩阵模型的标量扇区提出了一个laplacian,并获得了它的混凝土结构。

Matrix models are proposed as nonperturbative formulations of superstring theory. We study a concrete correspondence of the analytical result between the matrix model and the field theory. In this paper, we focus on a fuzzy sphere and a complex projective space. We show a wave functions/states correspondence of the zero modes of the Dirac operators under the 't Hooft-Polyakov monopole background on the continuous/fuzzy sphere. In addition, we propose a Laplacian for a scalar sector of the matrix model and obtain a concrete construction of it.

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