论文标题
关于界面和边界CFT的分析引导程序
On Analytic Bootstrap for Interface and Boundary CFT
论文作者
论文摘要
我们为具有接口或边界的CFT使用分析性引导技术。利用大量和边界共形块的分析结构，我们提取了CFT数据。我们通过将运动方程应用于边界操作员的扩展来进一步限制CFT数据。本文介绍的方法是一般的，它在扰动的威尔逊 - 菲什（Wilson-Fisher）理论的背景下进行了说明。特别是，我们在$ 4-ε$ dimensions（$ \ Mathcal {o}（ε^2）$）上找到了共形界面CFT的OPE系数的约束，并具有$ ϕ^4 $ - 互动。我们还计算了在$ 6-ε$中的非独立$ ϕ^3 $ - 理论的相应系数。
We use analytic bootstrap techniques for a CFT with an interface or a boundary. Exploiting the analytic structure of the bulk and boundary conformal blocks we extract the CFT data. We further constrain the CFT data by applying the equation of motion to the boundary operator expansion. The method presented in this paper is general, and it is illustrated in the context of perturbative Wilson-Fisher theories. In particular, we find constraints on the OPE coefficients for the conformal interface CFT in $4 - ε$ dimensions (upto order $\mathcal{O}(ε^2)$) with $ϕ^4$-interactions in the bulk. We also compute the corresponding coefficients for the non-unitary $ϕ^3$-theory in $6 - ε$ dimensions in the presence of a conformal boundary equipped with either Dirichlet or Neumann boundary conditions upto order $\mathcal{O}(ε)$, or an interface upto order $\mathcal{O}(\sqrtε)$.
