High Energy Theory Seminar

Series: High Energy Theory Seminar Series

Fixed-point tensor network construction for rational conformal field theory

Zheng-Cheng Gu, Chinese University of Hong Kong,

Special date/time and location.

The talk is in 269 Lauritsen.

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.

Update: This talk will not be via Zoom.

Event Sponsors:

For more information, please visit http://www.theory.caltech.edu/seminars/high-energy-theory-seminars.