TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.132
TI  - Coupled minimal models revisited II: Constraints from permutation symmetry
PY  - 2025/04/23
UR  - https://scipost.org/SciPostPhys.18.4.132
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 132
A1  - Antunes, Antonio
AU  - Behan, Connor
AB  - Coupling $N$ large $m$ minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vacuum. In this paper, we build on the construction of [A. Antunes and C. Behan, Phys. Rev. Lett. 130, 071602 (2023)], establishing that, for spins less than 10, additional currents transforming in non-trivial irreducible representations of the permutation symmetry $S_N$ are not conserved at the IR fixed points. Along the way, we develop a finer understanding of the spectrum of these theories, of the special properties of the $N=4$ case and of non-invertible symmetries that constrain them. We also discuss variations of the original setup of [A. Antunes and C. Behan, Phys. Rev. Lett. 130, 071602 (2023)], some of which can exist for smaller values of the UV central charge.
ER  -

@Article{10.21468/SciPostPhys.18.4.132,
	title={{Coupled minimal models revisited II: Constraints from permutation symmetry}},
	author={António Antunes and Connor Behan},
	journal={SciPost Phys.},
	volume={18},
	pages={132},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.132},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.132},
}