TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.5.157
TI  - Intertwined order of generalized global symmetries
PY  - 2025/05/15
UR  - https://scipost.org/SciPostPhys.18.5.157
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 5
SP  - 157
A1  - Moy, Benjamin
AU  - Fradkin, Eduardo
AB  - We investigate the interplay of generalized global symmetries in 2+1 dimensions in a lattice model that couples a $\mathbb{Z}_N$ clock model to a $\mathbb{Z}_N$ gauge theory via a topological interaction. This coupling binds the charges of one symmetry to the disorder operators of the other, and when these composite objects condense, they give rise to emergent generalized symmetries with mixed 't Hooft anomalies. These anomalies result in phases with ordinary symmetry breaking, topological order, and symmetry-protected topological (SPT) order, where the different types of order are not independent but intimately related. We further explore the gapped boundary states of these exotic phases and develop theories for phase transitions between them. Additionally, we extend this lattice model to incorporate a non-invertible global symmetry, which can be spontaneously broken, leading to domain walls with non-trivial fusion rules.
ER  -

@Article{10.21468/SciPostPhys.18.5.157,
	title={{Intertwined order of generalized global symmetries}},
	author={Benjamin Moy and Eduardo Fradkin},
	journal={SciPost Phys.},
	volume={18},
	pages={157},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.5.157},
	url={https://scipost.org/10.21468/SciPostPhys.18.5.157},
}