标题： 关于IKKT矩阵模型中$SO(9) \rightarrow SO(3) \times SO(6)$对称性破缺的起源 显示英文标题

标题： On the Origin of the $SO(9) \rightarrow SO(3) \times SO(6)$ Symmetry Breaking in the IKKT Matrix Model

摘要： 我们提出了一种动力学机制，该机制解释了为什么在超对称IKKT矩阵模型中，拉格朗日的$SO(9)$对称性自发破缺为$SO(3) \times SO(6)$，从而只允许三个大的经典空间维度出现。 这一论点依赖于将D1-弦识别为宇宙背景附近矩阵的稳定激发，并且平行D1-弦激发之间不存在力。只有当缠绕该方向的D1-弦能够湮灭时，空间维度才能变得很大。在没有力的情况下，这就要求弦世界面相交，而如果超过三个空间维度较大，这个过程会被高度抑制。 讨论了这种机制对最近提出的矩阵宇宙学场景的影响。 显示英文摘要

摘要： We suggest a dynamical mechanism which explains why in the supersymmetric IKKT matrix model the $SO(9)$ symmetry of the Lagrangian is spontaneously broken to $SO(3) \times SO(6)$, allowing only three large classical spatial dimensions to emerge. The argument relies on the identification of D1-strings as stable excitations of the matrices about the cosmological background, and the absence of forces between parallel D1-string excitations. A spatial dimension can only become large if the D1-strings winding that direction can annihilate. In the absence of forces, this requires the string world sheets to intersect, a process which is highly suppressed if more than three dimensions of space are large. Implications for a recently proposed matrix cosmology scenario are discussed.