Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields

Autor: Zeng, Xiangdong, Hung, Ling-Yan
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
DOI: 10.3390/e25111543
Popis: In this paper, we would like to study operator reconstruction in a class of holographic tensor networks describing renormalization group flows studied in arXiv:2210.12127. We study examples of 2d bulk holographic tensor networks constructed from Dijkgraaf-Witten theories and found that for both $\mathbb{Z}_n$ group and $S_3$ group the number of bulk operators behaving like a generalized free field in the bulk scales as the order of the group. We also generalize our study to 3d bulks and found the same scaling for $\mathbb{Z}_n$ theories. However, there is no generalized free field when the bulk comes from more generic fusion categories such as the Fibonacci model.
Comment: 11 pages, 3 figures
Databáze: arXiv
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