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arXiv 2009.06567hep-th
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弦场论的共形亏损

Conformal Defects from String Field Theory

Kasia Budzik, Miroslav Rapcak, Jairo M. Rojas

摘要:

与共形边界条件不同,Virasoro极小模型的共形缺陷缺乏分类。替代缺陷微扰理论和截断共形空间方法,我们采用开弦场论(OSFT)技术来探索共形缺陷的空间。我们说明了该方法通过分析OSFT周围的背景相关的对角酉极小模型的$(1,2)$拓扑缺陷。OSFT运动方程的数值分析导致识别一个很好的家庭的解决方案,恢复由于Kormos,Runkel和Watts的红外固定点的图片。特别是,我们发现一个连续的解决方案,在伊辛模型的情况下和6个解决方案,其他极小模型。OSFT为我们提供了边界状态的g函数和其他系数的数值估计。

英文摘要:

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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