TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.2.064
TI  - A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
PY  - 2024/08/23
UR  - https://scipost.org/SciPostPhys.17.2.064
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 2
SP  - 064
A1  - Gang, Dongmin
AU  - Kim, Dongyeob
AU  - Lee, Sungjay
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.2.064,
	title={{A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs}},
	author={Dongmin Gang and Dongyeob Kim and Sungjay Lee},
	journal={SciPost Phys.},
	volume={17},
	pages={064},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.2.064},
	url={https://scipost.org/10.21468/SciPostPhys.17.2.064},
}