Fermionic Minimal Models

We show that there is a fermionic minimal model, i.e., a 1 + 1D conformal field theory which contains operators of half-integral spins in its spectrum, for each c = 1–6/m(m + 1), m ≥ 3. This generalizes the Majorana fermion for c = 1/2, m = 3 and the smallest N = 1 supersymmetric minimal model for c...

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Bibliographic Details
Published in:Physical review letters 2021-05, Vol.126 (19), p.1-195701, Article 195701
Main Authors: Hsieh, Chang-Tse, Nakayama, Yu, Tachikawa, Yuji
Format: Article
Language:English
Subjects:
Fermions
Field theory
Operators (mathematics)
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Summary:We show that there is a fermionic minimal model, i.e., a 1 + 1D conformal field theory which contains operators of half-integral spins in its spectrum, for each c = 1–6/m(m + 1), m ≥ 3. This generalizes the Majorana fermion for c = 1/2, m = 3 and the smallest N = 1 supersymmetric minimal model for c = 7/10, m = 4. We provide explicit Hamiltonians on Majorana chains realizing these fermionic minimal models.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.126.195701