BMN膜动力学的湍流特性
Turbulent aspects of BMN membrane dynamics
AI总结：
本文研究了11维平面波背景下BMN矩阵模型的大N极限，对M2-brane配置进行分类，发现其微扰在次主导阶表现出不稳定性的湍流级联现象。
摘要：
我们研究了具有球形拓扑并在11维极大超对称平面波背景中自旋的经典玻色膜的BMN矩阵模型的大N极限。首先，我们基于其组件在SO(3)xSO(6)对称平面波时空内的分布，对所有可能的M2-brane配置进行了分类。然后，我们制定了若干简单但极具代表性的在该空间中旋转的介电陀螺ansatzes。我们考察了这些配置在广泛范围内的主导阶径向和角/多极稳定性。通过分析次主导阶的微扰，我们发现它们表现出不稳定性的湍流级联现象。因此，长波长微扰通过其非线性耦合产生了高阶多极不稳定性。
英文摘要：
We investigate the large-N limit of the BMN matrix model with classical bosonic membranes which have spherical topologies and spin inside the 11-dimensional maximally supersymmetric plane-wave background. First we classify all possible M2-brane configurations based on the distribution of their components inside the SO(3)xSO(6) symmetric plane-wave spacetime. We then formulate a number of simple but very representative ansatzes of dielectric tops that rotate in this space. We examine the leading-order radial and angular/multipole stability for a wide range of these configurations. By analyzing perturbations at the next-to-leading order, we find that they exhibit the phenomenon of turbulent cascading of instabilities. Thereby, long-wavelength perturbations generate higher-order multipole instabilities through their nonlinear couplings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
