标题： IKKT矩阵模型中自发对称破缺的复数朗之万动力学研究 显示英文标题

标题： Complex Langevin study of spontaneous symmetry breaking in IKKT matrix model

摘要： IKKT矩阵模型在大-$N$ 极限下被认为是非微扰定义的十维IIB型超弦理论。在本工作中，我们研究了欧几里得IKKT模型中十维旋转对称性自发破缺的可能性。由于在排除费米子后有效作用量本质上是复数，我们使用复数朗之万动力学来研究该模型。为了规避模型中的奇异漂移问题，我们添加了保持超对称性的变形，然后取变形消失的极限。我们的分析表明，配分函数的相位确实诱导了欧几里得IKKT模型中SO(10)对称性的自发破缺。 显示英文摘要

摘要： The IKKT matrix model, in the large-$N$ limit, is conjectured to be a non-perturbative definition of the ten-dimensional type IIB superstring theory. In this work, we investigate the possibility of spontaneous breaking of the ten-dimensional rotational symmetry in the Euclidean IKKT model. Since the effective action, after integrating out the fermions, is inherently complex, we use the complex Langevin dynamics to study the model. In order to evade the singular-drift problem in the model, we add supersymmetry preserving deformations and then take the vanishing limit of the deformations. Our analysis suggests that the phase of the Pfaffian indeed induces the spontaneous SO(10) symmetry breaking in the Euclidean IKKT model.