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@ARTICLE{LeiteAntunes:641775,
      author       = {Leite Antunes, António and Behan, Connor},
      title        = {{C}oupled minimal models revisited {II}: {C}onstraints from
                      permutation symmetry},
      reportid     = {PUBDB-2025-05185, arXiv:2412.21107},
      year         = {2025},
      note         = {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},
      abstract     = {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.},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe
                      (390833306) / FUNBOOTS - Solving Conformal Field Theories
                      with the Functional Bootstrap (101043588)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306 /
                      G:(EU-Grant)101043588},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2412.21107},
      howpublished = {arXiv:2412.21107},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2412.21107;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/641775},
}