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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.14877 |
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| _version_ | 1866929476291526656 |
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| author | Gang, Dongmin Kim, Dongyeob Lee, Sungjay |
| author_facet | Gang, Dongmin Kim, Dongyeob Lee, Sungjay |
| contents | We introduce a novel class of two-dimensional non-unitary rational conformal field theories (RCFTs) whose modular data are identical to the generalized Haagerup-Izumi modular data. Via the bulk-boundary correspondence, they are related to the three-dimensional non-unitary Haagerup topological field theories, recently constructed by a topological twisting of three-dimensional ${\cal N}=4$ rank-zero superconformal field theories (SCFTs), called S-fold SCFTs. We propose that, up to the overall factors, the half-indices of the rank-zero SCFTs give the explicit Nahm representation of four conformal characters of the RCFTs including the vacuum character. Using the theory of Bantay-Gannon, we can successfully complete them into the full admissible conformal characters of the RCFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14877 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs Gang, Dongmin Kim, Dongyeob Lee, Sungjay High Energy Physics - Theory We introduce a novel class of two-dimensional non-unitary rational conformal field theories (RCFTs) whose modular data are identical to the generalized Haagerup-Izumi modular data. Via the bulk-boundary correspondence, they are related to the three-dimensional non-unitary Haagerup topological field theories, recently constructed by a topological twisting of three-dimensional ${\cal N}=4$ rank-zero superconformal field theories (SCFTs), called S-fold SCFTs. We propose that, up to the overall factors, the half-indices of the rank-zero SCFTs give the explicit Nahm representation of four conformal characters of the RCFTs including the vacuum character. Using the theory of Bantay-Gannon, we can successfully complete them into the full admissible conformal characters of the RCFTs. |
| title | A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.14877 |