An index for two-dimensional SPT states
Mathematical Physics
2021-11-24 v3 Strongly Correlated Electrons
math.MP
Quantum Physics
Abstract
We define an index for 2d -invariant invertible states of bosonic lattice systems in the thermodynamic limit for a finite symmetry group . We show that this index is an invariant of SPT phase.
Cite
@article{arxiv.2101.00801,
title = {An index for two-dimensional SPT states},
author = {Nikita Sopenko},
journal= {arXiv preprint arXiv:2101.00801},
year = {2021}
}
Comments
20 pages, 4 figures v3: Appendix A has been rewritten to make it more self-consistent. Lemma 2.6 from the previous version is replaced by Lemma A.6. Submitted to JMP