论文标题
矩阵理论的新兴度量时空
Emergent Metric Space-Time from Matrix Theory
论文作者
论文摘要
IKKT矩阵模型产生了一个新兴的时空。我们进一步发展了这些想法，并为新兴指标提供了建议。基于以前对该模型的数值研究，我们提供了证据表明，在空间和时间上，新兴时空是连续和无限的，并且公制在空间上是平坦的。时间演化描述了从字符串理论的新兴阶段过渡到该模型的$（9）$对称的阶段，自发地破坏了$（6）\ times so（3）$（3）$，三个维度扩大，变得经典，后来在散热范围内的较高的宇宙中像散热量一样稳定了六个尺寸，并且在距离稳定的范围内均匀稳定了量。我们推测如何扩展该分析以产生早期的宇宙宇宙学，除了上述特性外，还导致了宇宙学波动和重力波的大致规模不变频谱。
The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite in extent, both in space and in time, and that the metric is spatially flat. The time evolution describes the transition from a string-theoretic emergent phase to a phase in which the $SO(9)$ symmetry of the model is spontaneously broken to $SO(6) \times SO(3)$, with three dimensions of space expanding, becoming classical and at later times evolving like in a radiation-dominated universe, and the remaining six dimensions of space stabilized at the string scale. We speculate on how this analysis can be extended to yield an early universe cosmology which, in addition to the above-mentioned properties, also leads to a roughly scale-invariant spectrum of cosmological fluctuations and gravitational waves.
