标题： IIB矩阵模型的近期发展 显示英文标题

标题： Recent developments in the type IIB matrix model

摘要： 我们回顾了IIB矩阵模型的最新进展，该模型被认为是非微扰弦理论的一种表述。 在第一部分，我们回顾了欧几里得模型的最新结果，这些结果表明SO(10)对称性可能自发破缺。 在第二部分，我们回顾了洛伦兹模型的最新结果。 特别是，我们讨论了蒙特卡洛模拟的结果，这些结果显示了一个（3+1）维膨胀宇宙的动力学形成。 我们还讨论了一些结果，这些结果表明了指数膨胀和后期幂律膨胀的出现。 更晚时间的行为通过经典的运动方程来研究。 我们讨论了一种代表三维膨胀空间的解，这可能为宇宙常数问题提供一种可能的解答。 显示英文摘要

摘要： We review recent developments in the type IIB matrix model, which was conjectured to be a nonperturbative formulation of superstring theory. In the first part we review the recent results for the Euclidean model, which suggest that SO(10) symmetry is spontaneously broken. In the second part we review the recent results for the Lorentzian model. In particular, we discuss Monte Carlo results, which suggest that (3+1)-dimensional expanding universe emerges dynamically. We also discuss some results suggesting the emergence of exponential expansion and the power-law expansion at later times. The behaviors at much later times are studied by the classical equation of motion. We discuss a solution representing 3d expanding space, which suggests a possible solution to the cosmological constant problem.