论文标题

从字符串场理论中的保形缺陷

Conformal Defects from String Field Theory

论文作者

Budzik, Kasia, Rapcak, Miroslav, Rojas, Jairo M.

论文摘要

与共形边界条件不同,Virasoro最小模型的共形缺陷缺乏分类。另外,除了缺陷扰动理论和截断的共形空间方法,我们采用开放的弦场理论(OSFT)技术来探索保形缺陷的空间。我们通过分析与$(1,2)$的拓扑缺陷相关的OSFT分析对角统一模型中的拓扑缺陷。 OSFT方程的数值分析导致识别一个不错的解决方案家族,从而恢复了由于Kormos,Runkel和Watts引起的红外固定点的图片。特别是,我们在ISING模型案例中找到了解决方案的连续性和其他最小模型的6个解决方案。 OSFT为我们提供了边界状态的G功能和其他系数的数值估计。

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT) techniques to explore the space of conformal defects. We illustrate the method by an analysis of OSFT around the background associated to the $(1,2)$ topological defect in diagonal unitary minimal models. Numerical analysis of OSFT equations of motion leads to an identification of a nice family of solutions, recovering the picture of infrared fixed points due to Kormos, Runkel and Watts. In particular, we find a continuum of solutions in the Ising model case and 6 solutions for other minimal models. OSFT provides us with numerical estimates of the g-function and other coefficients of the boundary state.

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