Generalized Cardy conditions of topological defect lines

Xia Gu; Xianjin Xie

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arXiv · 2310.15487

Generalized Cardy conditions of topological defect lines

Xia Gu·Xianjin Xie

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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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Xia Gu, Xianjin Xie. 2023-10-24. Generalized Cardy conditions of topological defect lines. https://arxiv.org/abs/2310.15487

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