论文标题
IKKT矩阵模型中的古典时空几何形状
Classical space-time geometry in the IKKT matrix model
论文作者
论文摘要
我们讨论了从协变量量子空间作为IKKT矩阵模型中的背景的通用3+1维时空几何的重建。提供了一个明确的食谱，以实现通用的古典几何形状。即使这通常需要一些更高的贡献，但这些贡献并不能显着修改模型在弱重力制度中的物理内容。这证明了半古典基质模型给出的紧急重力的框架，并补充了诱导的爱因斯坦 - 希尔伯特作用，该动作在存在模糊的额外尺寸的情况下产生。
We discuss the reconstruction of generic 3+1-dimensional space-time geometries from covariant quantum spaces as backgrounds in the IKKT matrix model. An explicit recipe to realize generic classical geometries is provided. Even though this typically entails some higher-spin contributions, these do not significantly modify the physical content of the model in the weak gravity regime. This justifies the framework for emergent gravity given by the semi-classical matrix model, supplemented by an induced Einstein-Hilbert action which arises in the presence of fuzzy extra dimensions.
