论文标题
$ t \ bar {t} $的全息研究类似于变形的HV QFTS：全息纠缠熵
Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
论文作者
论文摘要
我们在存在有限温度$ t $和UV截止$ r_c $的情况下研究$（d+2）$ - 尺寸违反（HV）几何形状。该引力系统被猜想为二\ bar {t} $，例如变形的HV QFTS。我们考虑全息图中的代表性量子纠缠数量，即纠缠熵$ s（a）$，并在所有可能的参数范围内进行完整的分析，用于高分违规指数$θ$和关键的动力学指数$ z $，以研究温度和临界值的影响。我们发现温度与参数无关：它在较小的截止限制中增强了$ s（a）$，而在较大的截止极限中无关紧要。对于截止效果，我们发现该截止单调抑制了$ s（a）$，其中其行为取决于参数范围。作为有限温度分析的应用，我们研究了纠缠熵的第一定律，$ s_ {t} -s_ {t = 0} \ sim \ ell^λ$，在小子系统大小$ \ ell $ limit中。我们发现，在小截止中，$λ$ interpolates在$λ= 1+z $之间，在大截止中$λ= 3 $，与参数范围无关。我们还以$ z = d-θ$提供了分析全息结果，并讨论了其与现场理论结果进行比较的可能性。
We study the $(d+2)$-dimensional Hyperscaling Violating (HV) geometries in the presence of both a finite temperature $T$ and a UV cutoff $r_c$. This gravitational system is conjectured to be dual to $T\bar{T}$ like deformed HV QFTs. We consider the representative quantum entanglement quantity in holography, i.e. the entanglement entropy $S(A)$, and perform a complete analysis in all possible parameter ranges of the hyperscaling violation exponent $θ$ and the critical dynamical exponent $z$ to study the effect of the temperature and the cutoff. We find that the temperature has a universal effect independent of the parameters: it enhances $S(A)$ in the small cutoff limit, while it is irrelevant in the large cutoff limit. For the cutoff effect, we find that the cutoff monotonically suppresses $S(A)$ where its behavior depends on the parameter range. As an application of the finite temperature analysis, we study the first law of entanglement entropy, $S_{T}-S_{T=0}\sim\ell^λ$, in the small subsystem size $\ell$ limit. We find that $λ$ interpolates between $λ=1+z$ in the small cutoff and $λ=3$ in the large cutoff, independent of the parameter range. We also provide the analytic holographic result at $z=d-θ$ and discuss its possibility of comparison with the field theoretic result.
