标题： 三维爱因斯坦引力与负宇宙常数的渐近动力学 显示英文标题

标题： The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant

摘要： Liouville理论被证明可以描述三维爱因斯坦引力在负宇宙常数下的渐近动力学。 这是因为(i)在具有圆柱形边界的空间时间上，规范群为$SL(2,R) \times SL(2,R)$的Chern-Simons理论等价于非手征的$SL(2,R)$WZW模型；以及(ii)反德西特边界条件实现了将WZW模型约化为Liouville理论的约束。 显示英文摘要

摘要： Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern-Simons theory with a gauge group $SL(2,R) \times SL(2,R)$ on a space-time with a cylindrical boundary is equivalent to the non-chiral $SL(2,R)$ WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory.