Generalized Cardy conditions of topological defect lines

2023/10/24 by Xia Gu, Gu, Xia, Xianjin Xie +1 · 1 citation
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Digital Image Processing Techniques #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2310.15487

openalex publication_date 2023/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a systematic procedure to work out systems of topological defect lines (TDLs) in minimal models. The only input of this method is the modular invariant partition function. For diagonal and permutation diagonal models, we prove there is a bijection between simple TDLs and primary fields preserving fusion rules. For block-diagonal models, we work out simple TDLs in the 3-state Potts model as an example. The results agree with those in 3D topological field theory methods.

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