A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
Dongmin Gang, Dongyeob Kim, Sungjay Lee
SciPost Phys. 17, 064 (2024) · published 23 August 2024
- doi: 10.21468/SciPostPhys.17.2.064
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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 $\mathcal{N}=4$ 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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Dongmin Gang,
- 1 2 Dongyeob Kim,
- 3 Sungjay Lee
- 1 서울대학교 / Seoul National University [SNU]
- 2 Princeton University
- 3 고등과학원 / Korea Institute for Advanced Study [KIAS]