论文标题
D1D5 CFT的动力演化
Dynamical evolution in the D1D5 CFT
论文作者
论文摘要
有趣的是：径向空间方向如何从仪表奖励双重性中从CFT中出现？在这种情况下，我们通过D1D5 CFT中两类状态的重力来解决一个长期的难题。对于每个类别，CFT状态都位于未介绍的部门中，这表明能量差距应为$ 1/r_y $，其中$ r_y $是D1D5 CFT被压缩的圆圈的半径。对于一个类别的状态，重力二的确确实具有此差距，而对于另一类，重力双重二元的喉咙很深，导致能量差距小于$ 1/r_y $。我们通过表明对于后一种状态来解决这个难题，从而使CFT从其自由点扰动会导致CFT中的频带结构的形成。我们还解释了为什么第一类国家不会出现这种频段结构。因此，对于重力描述中深喉出现的情况，在CFT中将喉咙掉落的动力学描述为在自由点的状态之间的顺序“跳”。这种跳跃振幅将整数间距频谱转换为一个距离距离紧密的能量水平。
It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggesting that the energy gap should be $1/R_y$ where $R_y$ is the radius of the circle on which the D1D5 CFT is compactified. For one class of states, the gravity dual indeed has exactly this gap, while for the other class, the gravity dual has a very deep throat, leading to an energy gap much smaller than $1/R_y$. We resolve this puzzle by showing that for the latter class of states, perturbing the CFT off its free point leads to the formation of a band structure in the CFT. We also explain why such a band structure does not arise for the first class of states. Thus for the case where a deep throat emerges in the gravity description, the dynamics of falling down this throat is described in the CFT as a sequential `hopping' between states all of which have the same energy at the free point; this hopping amplitude converts an integer spaced spectrum into a closely spaced band of energy levels.
