论文标题
费米对称性保护拓扑状态的非亚伯式琼脂化
Non-abelian bosonization of fermion symmetry-protected topological states
论文作者
论文摘要
应用参考文献[1]的结果，我们为一类自由羊式对称性保护拓扑状态（SPTS）进行了非亚伯隆化。由此产生的玻色子理论是具有拓扑$θ$项的非线性Sigma模型，从而统一了（自由）费米子和玻色子SPT的场理论描述。将$θ$从$ 0 $到$2π$触发到非平凡的相转换。此外，将相同的想法应用于受对称保护的临界旋转液体，我们获得了生活在一个空间维度上的旋转SPT的NL $ \ s $模型。
Applying the results of Ref.[1], we carry out the non-abelian bosonization for a class of free fermion symmetry-protected topological states (SPTs). The resulting boson theories are non-linear sigma models with topological $θ$ term, thus unifying the field theory description of the (free) fermionic and bosonic SPTs. Tuning $θ$ from $0$ to $2π$ triggers the topological trivial to non-trivial phase transitions. In addition, applying the same idea to the symmetry-protected critical spin liquids, we obtain the NL$\s$ models for spin SPTs living in one spatial dimension higher.
