TY  - EJOUR
AU  - Leite Antunes, António
AU  - Behan, Connor
TI  - Coupled minimal models revisited II: Constraints from permutation symmetry
IS  - arXiv:2412.21107
M1  - PUBDB-2025-05185
M1  - arXiv:2412.21107
PY  - 2025
N1  - SciPost Phys. 18, 132 (2025). 35 pages + references, 3 figures, 13 tables; v2: added references, fixed typo, v3: more discussion and code, v4: clarifications, v5: published version
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<sub>N</sub> 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.
LB  - PUB:(DE-HGF)25
UR  - https://bib-pubdb1.desy.de/record/641775
ER  -