论文标题

费米原模型

Fermionic minimal models

论文作者

Hsieh, Chang-Tse, Nakayama, Yu, Tachikawa, Yuji

论文摘要

我们表明,有一个费米的最小模型,即1+1d的形式场理论,其中包含其光谱中半融合旋转的运算符,每个$ c = 1-6/m(m+1)$,$ m \ ge 3 $。这将$ C = 1/2 $,$ M = 3 $的Majorana Fermion概括为最小的$ \ Mathcal {n} {=} {=} 1 $ supersymmetric的最小模型,$ c = 7/10 $,$ m = 4 $。我们在Majoara链上提供明确的汉密尔顿人,以实现这些费米子的最低模型。

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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