Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911774506221568 |
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| author | Zeng, Xiangdong Hung, Ling-Yan |
| author_facet | Zeng, Xiangdong Hung, Ling-Yan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03178 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields Zeng, Xiangdong Hung, Ling-Yan High Energy Physics - Theory 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. |
| title | Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.03178 |