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Published November 2021 | Submitted + Published
Journal Article Open

An index for two-dimensional SPT states

Abstract

We define an index for 2D G-invariant invertible states of bosonic lattice systems in the thermodynamic limit for a finite symmetry group G with a unitary action. We show that this index is an invariant of the symmetry protected phase.

Additional Information

© 2021 Published under an exclusive license by AIP Publishing. Submitted: 1 May 2021; Accepted: 10 October 2021; Published Online: 1 November 2021. I would like to thank Anton Kapustin for many inspiring discussions and comments on the draft. This research was supported, in part, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. The authors have no conflicts to disclose. Data Availability: Data sharing is not applicable to this article as no new data were created or analyzed in this study.

Attached Files

Published - 111901_1_online.pdf

Submitted - 2101-00801.pdf

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Additional details

Created:
October 5, 2023
Modified:
October 24, 2023