论文标题
3D超级全息RG流动的稳定性分析
Stability analysis of holographic RG flows in 3d supergravity
论文作者
论文摘要
我们从动力学系统理论侧面研究了3D超级重力模型中的全息RG流动。运动的重力方程还原为自主动力学系统。然后，我们找到系统的平衡点并分析它们以稳定。我们还恢复了临界点附近的渐近解决方案。我们找到了两种类型的解决方案：具有渐近广告指标和违反指标的超级标准。我们在不稳定（鞍）UV固定点和稳定（稳定节点）IR固定点之间写下可能的RG流。我们还分析了模型中的分叉。
We study holographic RG flows in a 3d supergravity model from the side of the dynamical system theory. The gravity equations of motion are reduced to an autonomous dynamical system. Then we find equilibrium points of the system and analyze them for stability. We also restore asymptotic solutions near the critical points. We find two types of solutions: with asymptotically AdS metrics and hyperscaling violating metrics. We write down possible RG flows between an unstable (saddle) UV fixed point and a stable (stable node) IR fixed point. We also analyze bifurcations in the model.
