Coupled minimal models revisited II: Constraints from permutation symmetry
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...
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2025-04-01
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| author | António Antunes, Connor Behan |
| author_facet | António Antunes, Connor Behan |
| author_sort | António Antunes, Connor Behan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-86edf5e3e2594ad2a8be1b913255fc33 |
| institution | OA Journals |
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| language | English |
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| spelling | doaj-art-86edf5e3e2594ad2a8be1b913255fc332025-08-20T02:12:06ZengSciPostSciPost Physics2542-46532025-04-0118413210.21468/SciPostPhys.18.4.132Coupled minimal models revisited II: Constraints from permutation symmetryAntónio Antunes, Connor BehanCoupling $N$ 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.https://scipost.org/SciPostPhys.18.4.132 |
| spellingShingle | António Antunes, Connor Behan Coupled minimal models revisited II: Constraints from permutation symmetry SciPost Physics |
| title | Coupled minimal models revisited II: Constraints from permutation symmetry |
| title_full | Coupled minimal models revisited II: Constraints from permutation symmetry |
| title_fullStr | Coupled minimal models revisited II: Constraints from permutation symmetry |
| title_full_unstemmed | Coupled minimal models revisited II: Constraints from permutation symmetry |
| title_short | Coupled minimal models revisited II: Constraints from permutation symmetry |
| title_sort | coupled minimal models revisited ii constraints from permutation symmetry |
| url | https://scipost.org/SciPostPhys.18.4.132 |
| work_keys_str_mv | AT antonioantunesconnorbehan coupledminimalmodelsrevisitediiconstraintsfrompermutationsymmetry |