论文标题

Brane合并的全息BCFT光谱

Holographic BCFT Spectra from Brane Mergers

论文作者

Biswas, Shovon, Kastikainen, Jani, Shashi, Sanjit, Sully, James

论文摘要

我们使用全息图来研究边界综合场理论(BCFTS)的光谱。为此,我们考虑了一个二维欧几里得BCFT,其两个圆形边界对应于三维重力中的动态末端晶体。这些麸皮之间的相互作用为操作员含量和双BCFT的能量谱。作为概念证明,我们首先考虑了两个高度分离的麸皮,唯一的相互作用被视为由标量场介导。标量介导的交换的全息计算在双BCFT的封闭弦通道中重现了光标度原发性及其全局后代。然后,我们考虑具有点颗粒的重力模型。在这里,两个分离的麸皮的相互作用对应于一个位于黑洞阈值以下的重型操作员。但是,我们也可以考虑有限分离时“合并”不平滑的麸皮。这样的Brane合并可用于描述BCFT开放弦谱频谱中的单一子阈值改变边界条件的操作员。我们还发现了一类新的阈值欧几里得烤炉鞍鞍,具有用于封闭弦振幅的分解难题。

We use holography to study the spectra of boundary conformal field theories (BCFTs). To do so, we consider a 2-dimensional Euclidean BCFT with two circular boundaries that correspond to dynamical end-of-the-world branes in 3-dimensional gravity. Interactions between these branes inform the operator content and the energy spectrum of the dual BCFT. As a proof of concept, we first consider two highly separated branes whose only interaction is taken to be mediated by a scalar field. The holographic computation of the scalar-mediated exchange reproduces a light scalar primary and its global descendants in the closed-string channel of the dual BCFT. We then consider a gravity model with point particles. Here, the interaction of two separated branes corresponds to a heavy operator which lies below the black hole threshold. However, we may also consider branes at finite separation that "merge" non-smoothly. Such brane mergers can be used to describe unitary sub-threshold boundary-condition-changing operators in the open-string spectrum of the BCFT. We also find a new class of sub-threshold Euclidean bra-ket wormhole saddles with a factorization puzzle for closed-string amplitudes.

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