论文标题
IKKT矩阵模型中新兴时空的签名更改
Signature change of the emergent space-time in the IKKT matrix model
论文作者
论文摘要
IKKT矩阵模型（或IIB型矩阵模型）被称为在十个维度中非扰动表达理论的有前途的候选者。作为最吸引人的特征，该模型承认了（3+1）维时空的出现，与（9+1） - 维型洛伦兹对称性的自发断裂相关。对这种现象的数值确认已尝试了二十年。最近发现，可以通过复杂的langevin方法克服符号问题，即模拟该模型的主要障碍。已经表明，该模型的洛伦兹版本与欧几里得版本平稳连接，其中SO（10）对称性被发现自发破坏至SO（3）。在这里，我们建议在原始模型中添加Lorentz不变的“质量”术语，并讨论一个场景，即（3+1） - 维度扩展时空随Lorentzian签名的后期出现。提出了一些支持这种情况的数值结果。
The IKKT matrix model (or the type IIB matrix model) is known as a promising candidate for a nonperturbative formulation of superstring theory in ten dimensions. As a most attractive feature, the model admits the emergence of (3+1)-dimensional space-time associated with the spontaneous breaking of the (9+1)-dimensional Lorentz symmetry. Numerical confirmation of such a phenomenon has been attempted for more than two decades. Recently it has been found that the sign problem, the main obstacle in simulating this model, can be overcome by the complex Langevin method. It has been shown that the Lorenzian version of the model is smoothly connected with the Euclidean version, in which the SO(10) symmetry is found to be spontaneously broken to SO(3). Here we propose to add a Lorentz invariant "mass" term to the original model and discuss a scenario that (3+1)-dimensional expanding space-time with Lorentzian signature appears at late times. Some numerical results supporting this scenario are presented.
