论文标题
SPT指数从二维量子自旋系统中的翻译不变性出现
SPT indices emerging from translation invariance in two dimensional quantum spin systems
论文作者
论文摘要
我们考虑使用现场$ g $（$ g $是任何有限的组）对称性的SPT浓度，用于二维量子旋转系统。然后，我们朝着一个方向强加了翻译不变性，并观察到$ h^3（g，\ mathbb {t}）$ - 在\ cite {ogata2021h3gmathbb}中构建的符合索引，另一种$ h^2（g，mathbb {t} t}）我们还表明，如果我们在两个方向上强加翻译不变性，除了预期的$ h^3（g，\ mathbb {t}）\ oplus h^2（g，g，\ mathbb {t}）\ oplus h^2（g，mathbb {t}）出现。
We consider SPT-phases with on-site $G$ (where $G$ is any finite group) symmetry for two-dimensional quantum spin systems. We then impose translation invariance in one direction and observe that on top of the $H^3(G,\mathbb{T})$-valued index constructed in \cite{ogata2021h3gmathbb}, an additional $H^2(G,\mathbb{T})$-valued index emerges. We also show that if we impose translation invariance in two directions, on top of the expected $H^3(G,\mathbb{T})\oplus H^2(G,\mathbb{T})\oplus H^2(G,\mathbb{T})$ valued index, an additional $H^1(G,\mathbb{T})$-valued index emerges.
