物理所-量子计算研究中心

摘要：

A challenge in the study of conformal field theory (CFT) is to characterize the possible defects in specific bulk CFTs. Given the success of numerical bootstrap techniques applied to the characterization of bulk CFTs, it is desirable to develop similar tools to study conformal defects. In this work, we successfully demonstrate this possibility for endable conformal line defects. We achieve this by incorporating the endpoints of a conformal line defect into the numerical four-point bootstrap and exploit novel crossing symmetry relations that mix bulk and defect CFT data in a way that further possesses positivity, so that rigorous numerical bootstrap techniques are applicable. We implement this approach for the pinning field line defect of the 3d Ising CFT, obtaining estimates of its defect CFT data that agree well with other recent estimates, particularly those obtained via the fuzzy sphere regularization. An interesting consequence of our bounds is nearly rigorous evidence that the Z2-symmetric defect exhibiting long range order obtained as a direct sum of two conjugate pinning field defects is unstable to domain wall proliferation.

报告人简介：

刘尚2016年本科毕业于北京大学物理学院，2021年在哈佛大学获得物理学博士学位，导师为Ashvin Vishwanath教授。此后，他分别在加州大学圣芭芭拉分校Kavli理论物理研究所和加州理工学院进行了博士后研究，于2025年3月入职中国科学院物理研究所任特聘研究员。刘尚的主要研究兴趣是量子多体理论以及与之相关的量子信息与计算、量子场论等方向。

主持人：周毅

地点：M楼830