论文标题
LST和单个跟踪的全息复杂性$ t \ bar {t} $，$ j \ bar {t} $和$ t \ bar {
Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
论文作者
论文摘要
这项工作是我们以前的工作[1]的扩展，我们利用全息图来计算Little String理论（LST）的复杂性特征，这是一种非局部，非倾向场理论，该理论通过可通过可集成的无关（tt）变形而流向RG中的IR局部2D CFT。在这里，我们可以通过将Lorentz违反TT变形的洛伦兹违反无关的JT和TJ变形来捕获lorentz违法的新型特征（在非局限性的基础上），从而在量子复杂度上捕获了新颖的特征，从而探讨了紫外线通过将2D CFT变形而获得的更通用的LST。为了期待双重场理论违反了洛伦兹的事实，我们计算了两个不同的洛伦兹框架中的体积复杂性，并在结果之间进行了比较。事实证明，对于该系统，非局部性和洛伦兹违规效应在量子复杂性的紫外线差异结构中密不可分。分歧的系数带有洛伦兹的签名，增强了侵犯。我们还计算了显示（Hagedorn）相变的子区域复杂性，其过渡点与纠缠熵的相变相同[2]。这些新结果与我们以前的工作一致[1]。 Null Warped ADS3被视为有趣的特殊情况。
This work is an extension of our previous work [1] where we exploited holography to compute the complexity characteristics of Little String Theory (LST), a nonlocal, nongravitational field theory which flows to a local 2d CFT in the IR under RG via an integrable irrelevant (TT) deformation. Here we look at the more general LST obtained by UV deforming the 2d CFT by incorporating Lorentz violating irrelevant JT and TJ deformations on top of TT deformation, in an effort to capture the novel signatures of Lorentz violation (on top of nonlocality) on quantum complexity. In anticipation of the fact that the dual field theory is Lorentz violating, we compute the volume complexity in two different Lorentz frames and the comparison is drawn between the results. It turns out that for this system the nonlocality and Lorentz violation effects are inextricably intertwined in the UV divergence structure of the quantum complexity. The coefficients of the divergences carry the signature of Lorentz boost violation. We also compute the subregion complexity which displays a (Hagedorn) phase transition with the transition point being the same as that for the phase transition of entanglement entropy [2]. These new results are consistent with our previous work [1]. Null warped AdS3 is treated as an interesting special case.
