论文标题
LST和单个跟踪的全息复杂性$ t \ bar {t} $
Holographic Complexity of LST and Single Trace $T\bar{T}$
论文作者
论文摘要
在这项工作中，我们继续对弦理论进行研究，以在紫外线中使用线性dilaton插入IR的$ ADS_3 $之间。边界双重理论在IR中的CFT $ _2 $之间插值到紫外线中的某些二维小弦理论（LST）。特别是，我们通过全息图研究了这种理论的\ emph {计算复杂性}，并研究了复杂性的短距离行为中非局部性的特征。当截止紫外线量表比非本地性（Hagedorn）量表小得多时，我们发现异国情调的二次和对数差异（对于体积和动作复杂性），这在局部量子场理论中却没有预期。我们还概括了计算以包括有限温度的影响。在有限温度校正中最多可二阶，与零温度情况相比，我们没有发现更新的外来紫外线差异。
In this work, we continue our study of string theory in the background that interpolates between $AdS_3$ in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT$_2$ in the IR to a certain two-dimensional Little String Theory (LST) in the UV. In particular, we study \emph{computational complexity} of such a theory through the lens of holography and investigate the signature of non-locality in the short distance behavior of complexity. When the cutoff UV scale is much smaller than the non-locality (Hagedorn) scale, we find exotic quadratic and logarithmic divergences (for both volume and action complexity) which are not expected in a local quantum field theory. We also generalize our computation to include the effects of finite temperature. Up to second order in finite temperature correction, we do not any find newer exotic UV-divergences compared to the zero temperature case.
