On two-dimensional tensor network group symmetries

• URL: http://arxiv.org/abs/2507.16475v1
• Date: Tue, 22 Jul 2025 11:28:59 GMT
• Title: On two-dimensional tensor network group symmetries
• Authors: José Garre-Rubio, András Molnár,
• Abstract summary: We introduce two-dimensional tensor network representations of finite groups carrying a 4-cocycle index.<n>We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor network ground states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce two-dimensional tensor network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor network ground states. We further develop related tensor network unitaries that generate symmetric states representing (3+1)D symmetry protected topological phases. Although aspects of these constructions have been previously addressed, our contribution unifies them within a single tensor network framework and emphasizes the explicit formulation of local tensor equations encoding global consistency conditions.

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