TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.3.097
TI  - Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries
PY  - 2025/03/17
UR  - https://scipost.org/SciPostPhys.18.3.097
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 3
SP  - 097
A1  - Moradi, Heidar
AU  - Aksoy, Ömer Mert
AU  - Bardarson, Jens H
AU  - Tiwari, Apoorv
AB  - We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential mixed ‘t Hooft anomalies. We demonstrate that the mixed anomalies manifest as the symmetry fractionalization of higher-form symmetries participating in the mixed anomaly. Gauging is realized as an isomorphism or duality between the bond algebras that generate the space of quantum spin models with the dual generalized symmetry structures. We explore the mapping of gapped phases under such gauging related dualities for 0-form and 1-form symmetries in spatial dimension $d=2$ and 3. In $d=2$, these include several non-trivial dualities between short-range entangled gapped phases with 0-form symmetries and 0-form symmetry enriched Higgs and (twisted) deconfined phases of the gauged theory with possible symmetry fractionalizations. Such dualities also imply strong constraints on several unconventional, i.e., deconfined or topological transitions. In $d=3$, among others, we find, dualities between topological orders via gauging of 1-form symmetries. Hamiltonians self-dual under gauging of 1-form symmetries host emergent non-invertible symmetries, realizing higher-categorical generalizations of the Tambara-Yamagami fusion category.
ER  -

@Article{10.21468/SciPostPhys.18.3.097,
	title={{Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries}},
	author={Heidar Moradi and Ömer M. Aksoy and Jens H. Bardarson and Apoorv Tiwari},
	journal={SciPost Phys.},
	volume={18},
	pages={097},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.3.097},
	url={https://scipost.org/10.21468/SciPostPhys.18.3.097},
}