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A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs

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arxiv 2310.14877 v2 pith:DEGHXL7Z submitted 2023-10-23 hep-th

Dongmin Gang , Dongyeob Kim , Sungjay Lee This is my paper · ORCID
classification hep-th
keywords non-unitaryrcftsscftsconformalfieldtheoriesbulk-boundarycharacters
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abstract

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.

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Cited by 3 Pith papers

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