Boundary and interface CFTs from the conformal bootstrap
Boundary and interface CFTs from the conformal bootstrap
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DOI：
10.1007/jhep05(2015)036
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发表时间：
2015-02
影响因子：
5.4
通讯作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago
中科院分区：
文献类型：
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作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago
我们探索了缺陷共形场论交叉对称性的一些后果，重点关注余维缺陷，例如平坦边界或界面。我们通过用行列式方法数值求解交叉方程来研究3D Ising和其他O（N）模型的表面跃迁。在非凡的过渡，在那里的表面运营商的低洼频谱是已知的，我们使用的自助方程，以获得大量的理论频谱的信息。在普通的过渡的知识，低洼的散装频谱允许计算的规模尺寸的相关表面运营商，这与已知的结果相比，在3D的两个循环计算。还获得了各种OPE系数的估计。我们还分析了四维O（N）模型与自由理论之间的重整化群界面，并对三维结果进行了数值检验。
We explore some consequences of the crossing symmetry for defect conformal field theories, focusing on codimension one defects like flat boundaries or interfaces. We study surface transitions of the 3d Ising and other O (N) models through numerical solutions to the crossing equations with the method of determinants. In the extraordinary transition, where the low-lying spectrum of the surface operators is known, we use the bootstrap equations to obtain information on the bulk spectrum of the theory. In the ordinary transition the knowledge of the low-lying bulk spectrum allows to calculate the scale dimension of the relevant surface operator, which compares well with known results of two-loop calculations in 3d. Estimates of various OPE coefficients are also obtained. We also analyze in 4-ϵ dimensions the renormalization group interface between the O (N) model and the free theory and check numerically the results in 3d.