The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real space renormalization group (RG) scheme. In this talk, I will present an explicit analytical construction of the fixed point(FP) tensor for 2D rational CFT. We define it as a correlation 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 Ising model to compute the scaling dimensions explicitly based on the corresponding FP tensor. Interestingly, our construction of FP tensors is closely related to a strange correlator, where the holographic picture naturally emerges. Our results also open a new door towards understanding CFT in higher dimensions.
Host: Meng Cheng (m.cheng@yale.edu)
Condensed Matter Theory Seminar: Zheng-Cheng Gu, The Chinese University of Hong Kong, “Fixed-point tensor network construction for rational conformal field theory”
Event time:
Friday, July 26, 2024 - 11:00am to 12:00pm
Location:
Sloane Physics Laboratory SPL, Room 51
217 Prospect Street
New Haven, CT
06511
Speaker/Performer:
Zheng-Cheng Gu, The Chinese University of Hong Kong
Event description:
Admission:
Free
Contact:
Kirstin Franzman