论文标题
部分可观测时空混沌系统的无模型预测
Complex Langevin study of spontaneous symmetry breaking in IKKT matrix model
论文作者
论文摘要
IKKT矩阵模型在很大程度上是限制的，被认为是十维IIB级超弦理论的非扰动定义。在这项工作中，我们研究了欧几里得IKKT模型中十维旋转对称性自发断裂的可能性。由于有效的动作（在整合了费米子之后）本质上是复杂的，因此我们使用复杂的Langevin动力学来研究该模型。为了逃避模型中的奇异性问题，我们添加了超对称性保留变形，然后采取变形的消失极限。我们的分析表明，Pfaffian的阶段确实诱导了欧几里得IKKT模型中的自发SO（10）对称性破裂。
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.
