西班牙高等科学研究理事会理论物理研究所

摘要：

The Kramers-Wannier self-duality of classical statistical or quantum many-body models at criticality is one prototypical example of the so-called non-invertible symmetries. In this talk, we will revisit the Kramers-Wannier self-duality in lattice systems from the perspective of model wave functions. Although generalisable to certain more complicated models, the approach will be illustrated with the simplest example, namely the critical quantum Ising chain in a transverse magnetic field. We shall see that the Kramers-Wannier self-duality follows from a 'half-step translation symmetry' (which we will define) of the model wave function; the symmetry operator implementing this transformation, in turn, is directly related to 'topological' data in the conformal field theory describing the criticality.

报告人简介：

张华琛，2017年本科毕业于山东大学，2022年于中国科学院物理研究所获博士学位。自2020年起至今先后于德国德累斯顿工业大学、丹麦奥胡斯大学及西班牙高等科学研究理事会下属之理论物理研究所从事访学以及博士后工作。研究兴趣包括量子多体系统和场论的一些方面，例如物质的拓扑态、严格可解模型以及共形场理论的应用等。近来主要关注广义对称性（generalised symmetries）在场论和晶格模型中的实现。

邀请人：廖海军（82649377）