Non-invertible and higher-form symmetries in 2+1d lattice gauge theories

Autor:	Choi, Yichul, Sanghavi, Yaman, Shao, Shu-Heng, Zheng, Yunqin
Rok vydání:	2024
Předmět:	Condensed Matter - Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We explore exact generalized symmetries in the standard 2+1d lattice $\mathbb{Z}_2$ gauge theory coupled to the Ising model, and compare them with their continuum field theory counterparts. One model has a (non-anomalous) non-invertible symmetry, and we identify two distinct non-invertible symmetry protected topological phases. The non-invertible algebra involves a lattice condensation operator, which creates a toric code ground state from a product state. Another model has a mixed anomaly between a 1-form symmetry and an ordinary symmetry. This anomaly enforces a nontrivial transition in the phase diagram, consistent with the "Higgs=SPT" proposal. Finally, we discuss how the symmetries and anomalies in these two models are related by gauging, which is a 2+1d version of the Kennedy-Tasaki transformation. Comment: 33 pages plus appendices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.13105 Zobrazit plný text záznamu View this record from Arxiv