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SUMMARY:Fixed-point tensor network construction for rational conformal fie
 ld theory - Zheng-Cheng Gu\, Chinese University of Hong Kong
DTSTART:20241121T141500Z
DTEND:20241121T151500Z
UID:TALK224665@talks.cam.ac.uk
CONTACT:Laurens Lootens
DESCRIPTION:The novel concept of entanglement renormalization and its corr
 esponding tensor network renormalization technique have been highly succes
 sful in developing a controlled real space renormalization group (RG) sche
 me. In this talk\, I will present an explicit analytical construction of t
 he fixed point(FP) tensor for 2D rational CFT. We define it as a correlati
 on function between the "boundary-changing operators" on triangles. Our co
 nstruction fully captures all the real-space RG conditions. We also provid
 e a concrete example using the Ising model to compute the scaling dimensio
 ns explicitly based on the corresponding FP tensor. Interestingly\, our co
 nstruction of FP tensors is closely related to a strange correlator\, wher
 e the holographic picture naturally emerges. Our results also open a new d
 oor towards understanding CFT in higher dimensions.
LOCATION:MR2
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