Journal Article

PUBDB-2025-04358

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Coupled minimal models revisited II: Constraints from permutation symmetry

Leite Antunes, A. (Corresponding author)Extern*DESY* ; Behan, C.

2025
SciPost Foundation Amsterdam

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Please use a persistent id in citations: doi:10.21468/SciPostPhys.18.4.132  doi:10.3204/PUBDB-2025-04358

Report No.: arXiv:2412.21107

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.

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

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. FUNBOOTS - Solving Conformal Field Theories with the Functional Bootstrap (101043588) (101043588)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Leite Antunes, A. (Corresponding author)DESY* ; Behan, C.
Coupled minimal models revisited II: Constraints from permutation symmetry
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