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Fermionic minimal models

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arxiv 2002.12283 v2 pith:THC6HMDX submitted 2020-02-27 cond-mat.str-el cond-mat.stat-mechhep-th

Chang-Tse Hsieh , Yu Nakayama , Yuji Tachikawa This is my paper · ORCID
classification cond-mat.str-elcond-mat.stat-mechhep-th
keywords minimalfermionicmajoranamodelmodelschainsconformalcontains
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abstract

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 $c=1-6/m(m+1)$, $m\ge 3$. This generalizes the Majorana fermion for $c=1/2$, $m=3$ and the smallest $\mathcal{N}{=}1$ supersymmetric minimal model for $c=7/10$, $m=4$. We provide explicit Hamiltonians on Majorana chains realizing these fermionic minimal models.

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Cited by 7 Pith papers

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