标题： 具有$T\bar T$变形的全息边界共形场论 显示英文标题

标题： Holographic boundary conformal field theory with $T\bar T$ deformation

摘要： 我们提出了一种边界共形场论（BCFT）的全息对偶，其中包含$T\bar T$扰动，即$T\bar T$BCFT 的对偶。我们的全息提议根据$T\bar T$扰动是否改变边界，区分了两种类型的$T\bar T$BCFT。对于边界被扰动的情况，我们发现边界熵可以作为有效度量来量化边界扰动的影响。在此情形下，我们在有限区间内计算了$T\bar T$BCFT 的能量谱，以支持所提出的对偶性。对于边界未扰动的情况，我们从场论侧和引力侧分别计算了纠缠熵和 Rényi 熵，并发现它们相匹配。 显示英文摘要

摘要： We propose a holographic dual of boundary conformal field theory (BCFT) with $T\bar T$ deformation, i.e. of $T\bar T$ BCFT. Our holographic proposal distinguishes two types of $T\bar T$ BCFTs, depending on whether the $T\bar T$ deformation deforms the boundary. For the boundary-deformed case, we find that boundary entropy serves as an effective measure to quantify the impact of boundary deformation. In this scenario, we calculate the energy spectrum for the $T\bar T$ BCFT within a finite interval to support the proposed dual. For the boundary-undeformed case, we calculate the entanglement entropy and R\'enyi entropy from both the field theory side and the gravity side, and find that they match.