论文标题
复杂的Langevin研究欧几里得IKKT矩阵模型中额外尺寸的动态压缩
Complex Langevin studies of the dynamical compactification of extra dimensions in the Euclidean IKKT matrix model
论文作者
论文摘要
IIB型矩阵模型，也称为IKKT矩阵模型，是非扰动表达理论的有前途的候选人。在本次演讲中，我们研究了IKKT矩阵模型的欧几里得版，该版本由于PFAFFIAN来自融合了Fermionic自由度而存在“标志问题”。为了研究SO（10）旋转对称性的自发断裂，我们将复杂的Langevin方法（CLM）应用于欧几里得IKKT矩阵模型。我们得出的结论是，SO（10）对称性被打破到SO（3），与先前的高斯膨胀方法（GEM）一致。我们还将GEM应用于变形模型，并找到与CLM结果的一致性。这些是基于论文Arxiv：2002.07410的8月4日至7日在亚太晶格野外理论（APLAT 2020）上的Takehiro Azuma会议论文集。
The type IIB matrix model, also known as the IKKT matrix model, is a promising candidate for a nonperturbative formulation of superstring theory. In this talk we study the Euclidean version of the IKKT matrix model, which has a "sign problem" due to the Pfaffian coming from integrating out the fermionic degrees of freedom. To study the spontaneous breaking of the SO(10) rotational symmetry, we apply the Complex Langevin Method (CLM) to the Euclidean IKKT matrix model. We conclude that the SO(10) symmetry is broken to SO(3), in agreement with the previous studies by the Gaussian Expansion Method (GEM). We also apply the GEM to the deformed model and find consistency with the CLM result. These are proceedings of Takehiro Azuma's talk at Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020) on August 4-7, 2020, based on the paper arXiv:2002.07410.
