Fixed-point tensor network construction for rational conformal field theory

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• Zheng-Cheng Gu, Chinese University of Hong Kong
• Thursday 21 November 2024, 14:15-15:15
• MR2.

If you have a question about this talk, please contact Laurens Lootens.

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.

This talk is part of the CQIF Seminar series.

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