来自$T\bar T$流的膜有效作用量及其岛规则
Brane effective actions and their island rule from $T\overline T$ flows
浏览论文内容
中文总结 AI 辅助
该研究通过求解径向哈密顿流推导半经典AdS₃引力的二维有效作用量，验证其全息对偶提议，完成非渐近膜的岛规则计算，为T$\bar T$纠缠提供Wald熵解释。
中文摘要 AI 辅助
我们通过导数展开求解径向哈密顿流，推导了具有任意张力的EOW膜的半经典AdS$_3$引力的二维有效作用量。将径向流解释为RG流，该有效理论被认定为类$T\bar T$形变CFT。这使我们提出，具有Neumann或共形边界条件的半经典AdS$_3$引力的全息对偶可通过让类$T\bar T$形变CFT自由获得。我们针对对应于空AdS$_3$中$(A)dS_2$膜的鞍点明确验证了该提议。我们讨论了将有效膜理论分解为物质部分（分别为$T\bar T$形变、类$T\bar T$形变及未形变CFT）和对应膜世界引力部分的三种有用方式。特别地，耦合到类$T\bar T$形变Liouville引力的$T\bar T$形变CFT的拆分，将积分Weyl反常的Liouville描述直接扩展到了体空间。随后，该有效作用量被用于AdS/bCFT设置中非渐近膜的岛规则计算，发现其与Ryu-Takayanagi结果完全一致。这将岛规则的先前全息检验扩展到了非渐近应用区域，并为$T\bar T$纠缠提供了Wald熵解释。最后，我们通过对壳上作用量的显式计算，将有效理论及其高阶导数修正与具有波动径向截断的AdS$_3$引力关联起来。
英文摘要
We derive a $2d$ effective action for semi-classical AdS$_3$ gravity with an EOW brane of arbitrary tension by solving the radial Hamiltonian flow in a derivative expansion. Interpreting the radial flow as an RG flow, the effective theory is identified with a $T\bar T$-like deformed CFT. This leads us to propose that the holographic dual for semi-classical AdS$_3$ gravity with Neumann or conformal boundary conditions is obtained by setting the $T\bar T$-like deformed CFT free. We verify our proposal explicitly for saddles corresponding to $(A)dS_2$ branes in empty AdS$_3$. We discuss three useful ways to decompose the effective brane theory into a matter sector ($T\bar T$-deformed, $T\bar T$-like deformed, and undeformed CFT, respectively) and a corresponding braneworld gravity sector. In particular, the split into $T\bar T$-deformed CFT coupled to $T\bar T$-like deformed Liouville gravity directly extends the Liouville description of the integrated Weyl anomaly into the bulk. The effective action is then used to perform an island-rule calculation for a non-asymptotic brane in an AdS/bCFT set-up, finding exact agreement with the Ryu-Takayanagi result. This extends previous holographic checks on the island rule to non-asymptotic regimes of application, as well as provides a Wald entropy interpretation for $T\bar T$ entanglement. Finally, we relate our effective theory and its higher derivative corrections to AdS$_3$ gravity with a fluctuating radial cutoff by explicit calculation of the on-shell action.
发表机构
- Institute for Theoretical Physics, University of Cologne（科隆大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
