Non-invertible symmetries in $S_N$ orbifold CFTs and holography
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917674326425600 |
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| author | Gutperle, Michael Li, Yan-Yan Rathore, Dikshant Roumpedakis, Konstantinos |
| author_facet | Gutperle, Michael Li, Yan-Yan Rathore, Dikshant Roumpedakis, Konstantinos |
| contents | We study non-invertible defects in two-dimensional $S_N$ orbifold CFTs. We construct universal defects which do not depend on the details of the seed CFT and hence exist in any orbifold CFT. Additionally, we investigate non-universal defects arising from the topological defects of the seed CFT. We argue that there exist universal defects that are non-trivial in the large-$N$ limit, making them relevant for the AdS$_3$/CFT$_2$ correspondence. We then focus on AdS$_3\times$S$^3\times \mathcal M_4$ with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15693 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-invertible symmetries in $S_N$ orbifold CFTs and holography Gutperle, Michael Li, Yan-Yan Rathore, Dikshant Roumpedakis, Konstantinos High Energy Physics - Theory We study non-invertible defects in two-dimensional $S_N$ orbifold CFTs. We construct universal defects which do not depend on the details of the seed CFT and hence exist in any orbifold CFT. Additionally, we investigate non-universal defects arising from the topological defects of the seed CFT. We argue that there exist universal defects that are non-trivial in the large-$N$ limit, making them relevant for the AdS$_3$/CFT$_2$ correspondence. We then focus on AdS$_3\times$S$^3\times \mathcal M_4$ with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet. |
| title | Non-invertible symmetries in $S_N$ orbifold CFTs and holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.15693 |