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Two More Fermionic Minimal Models

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arxiv 2003.04278 v1 pith:DWZJNVIO submitted 2020-03-09 hep-th cond-mat.stat-mechcond-mat.str-el

Justin Kulp This is my paper · ORCID
classification hep-thcond-mat.stat-mechcond-mat.str-el
keywords minimalmodelsfermionicunitarycasescommentexceptionalexistence
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this short note, we comment on the existence of two more fermionic unitary minimal models not included in recent work by Hsieh, Nakayama, and Tachikawa. These theories are obtained by fermionizing the $\mathbb{Z}_2$ symmetry of the m=11 and m=12 exceptional unitary minimal models. Furthermore, these should be the only missing cases.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fermionic Villain model with exact lattice chiral symmetries

    hep-th 2026-08 conditional novelty 7.0 of 10

    A fermionic Villain lattice Hamiltonian exactly realizes the chiral U(1) L x U(1) R symmetry and anomalies of a massless Dirac fermion, enabling exact studies of symmetric mass generation and chiral lattice gauge theories.

  2. ADE triality via (non-)invertible symmetry gauging

    hep-th 2025-06 conditional novelty 6.0 of 10

    Gauging a non-invertible symmetry exchanges the D7 and E6 minimal models, completing the ADE triality.

  3. SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions

    hep-th 2024-11 conditional novelty 6.0 of 10

    The authors derive partition functions of orbifolded, fermionized, and para-fermionized 2D CFTs from topological boundary states of the 3D SymTFT, introducing para-fermionic Lagrangian algebras.

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