论文标题
M理论是动态系统生成器
M-theory as a dynamical system generator
论文作者
论文摘要
我们在BMN矩阵模型的大N极限中回顾了有关椭圆形M2-Brane溶液的最新工作。这些玻色子有限能源膜生活在So(3)XSO(6)对称平面波的空间内,对应于能量功能的局部极端。它们在SO(3)中是静态的,而So(6)中的静止。混乱通过明确衍生的特征值出现在径向稳定性分析的水平上。角度扰动分析表明存在弱湍流不稳定性,这些不稳定性从扰动理论中从低阶传播到高阶。
We review our recent work on ellipsoidal M2-brane solutions in the large-N limit of the BMN matrix model. These bosonic finite-energy membranes live inside SO(3)xSO(6) symmetric plane-wave spacetimes and correspond to local extrema of the energy functional. They are static in SO(3) and stationary in SO(6). Chaos appears at the level of radial stability analysis through the explicitly derived spectrum of eigenvalues. The angular perturbation analysis is suggestive of the presence of weak turbulence instabilities that propagate from low to high orders in perturbation theory.