论文标题
$ ads_3/cft_2 $无关变形的字符串
Strings in Irrelevant Deformations of $AdS_3/CFT_2$
论文作者
论文摘要
我们将探针字符串动力学的最新分析(2006.13249)概括为一般单条跟踪$ t \ bar t $,$ j \ bar t $和$ t \ bar j $变形的情况。我们表明,在整体几何形状平滑的耦合空间的区域中,此类字符串的经典轨迹是平滑的,并且在遥远的过去或遥远的未来处接近线性dilaton边界。这些轨迹产生了任意高能量的量子散射状态。当散装几何形状关闭了时机曲线(CTC)时,这些轨迹对于高于临界值$ e_c $的能量是单数的。这种奇异性发生在该地区的CTC中,$ e_c $的值与从双边界理论中读取的所有值和电荷值都一致。
We generalize our recent analysis [2006.13249] of probe string dynamics to the case of general single-trace $T\bar T$, $J\bar T$ and $T\bar J$ deformations. We show that in regions in coupling space where the bulk geometry is smooth, the classical trajectories of such strings are smooth and approach the linear dilaton boundary at either the far past or the far future. These trajectories give rise to quantum scattering states with arbitrarily high energies. When the bulk geometry has closed timelike curves (CTC's), the trajectories are singular for energies above a critical value $E_c$. This singularity occurs in the region with CTC's, and the value of $E_c$ agrees with that read off from the dual boundary theory for all values of the couplings and charges.