在单迹与双迹 $T\ar T$ 之间插值：将 LST 移入体空间
Interpolating between single and double trace $T\bar T$ by moving LST into the bulk
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中文总结 AI 辅助
本文构造了在单迹与双迹T反T形变间插值的一大类理论，通过移动LST并施加径向截断，计算了黑洞谱，展示了领头阶谱相同而高阶不同的特性。
中文摘要 AI 辅助
我们描述了一大类理论，这些理论在 AdS$_3$/CFT$_2$ 的单迹与双迹 $T\ar T$ 形变之间连续插值。该理论通过从时空 $M_3$ 出发获得，$M_3$ 在红外区域插值到 AdS$_3$，在紫外区域插值到线性膨胀时空，并在径向方向施加紫外截断。当截断位于 $M_3$ 的 AdS$_3$ 区域深处时，这导致双迹 $T\ar T$ 形变。当截断趋于无穷时，我们恢复单迹形变理论。我们提出了关于膨胀子的一大类可能的边界条件，并在几个例子中计算了由此产生的黑洞谱。在所有构造中，在低能展开的领头阶，所得谱是单迹加双迹形变 CFT 的谱，但在更高阶，不同理论具有不同的谱。在我们分析的一个例子中，完整理论是单迹加双迹 $T\ar T$ 形变 CFT。另一个例子给出了一个有趣的谱，由无限组能带组成。
英文摘要
We describe a large class of theories that continuously interpolate between single and double trace $T\bar T$ deformations of AdS$_3$/CFT$_2$. It is obtained by starting with the spacetime $M_3$, which interpolates between AdS$_3$ in the IR and a linear dilaton spacetime in the UV, and imposing a UV cutoff on the radial direction. When the cutoff is deep in the AdS$_3$ region of $M_3$, this leads to double trace $T\bar T$. When it goes to infinity, we recover the single trace deformed theory. We present a large class of possible boundary conditions on the dilaton, and compute the resulting black hole spectrum in a few examples. In all these constructions, to leading order in the low energy expansion, the resulting spectrum is that of a single $+$ double trace deformed CFT, but at higher orders the different theories have different spectra. In one of the examples that we analyze, the full theory is single $+$ double trace $T\bar T$ deformed CFT. Another gives rise to an interesting spectrum, that consists of an infinite set of energy bands.
发表机构
- Leinweber Institute for Theoretical Physics, Enrico Fermi Institute, and Department of Physics, University of Chicago（芝加哥大学莱因韦伯理论物理研究所、恩里科·费米研究所和物理系）
- Racah Institute of Physics, The Hebrew University（希伯来大学拉卡赫物理研究所）
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