Title: Fixed-Point Tensor Network Construction andGeneralized Symmetry for Conformal Field Theory

Speaker:  Prof. Zheng- heng Gu, The Chinese University ofHong Kong

Time: 10:00 am,June 10(Tuesday),2025

Place: Room M830, IOP-CAS (中国科学院物理研究所M830)

Abstract:

The novel concept of entanglement renormalization and itscorresponding tensor network renormalization technique have been highlysuccessful in developing a controlled real space renormalization group(RG) scheme. In this talk, I will present an explicit analytical constructionof the fixed point(FP)tensor for 2D rational CFT We define it as acorrelation function between the "boundary-changing operators" on triangles. Our construction fully captures all the real-space RG conditions. We also provide a concrete example using the several models to computethe scaling dimensions explicitly. Interestingly, our construction of Fftensors is closely related to a strange correlator, where the holographic picture and generalize symmetries naturally emerge. If time permits, I will also discuss some unpublished results on irrational CFT and evencomplex CFT,Our results open a new door towards understanding CFT in higher dimensions.

About the speaker:

Prof, Zheng-Cheng Gu obtained his B Sc.in 2003 and Ph.D.in 2007 from Tsinghua University. He then worked in MIT, UCSB, Perimeter Institute and Caltech before he ioined the faculty of the Chinese University of Hong Kong in 2016.His research focuses on topological phases and tensor network simulations of quantum many-body systems and topological aspects of fundamental particles, topological quantum field theory and quantum gravity.