TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.3.110
TI  - Unveiling UV/IR mixing via symmetry defects: A view from topological entanglement entropy
PY  - 2025/03/25
UR  - https://scipost.org/SciPostPhys.18.3.110
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 3
SP  - 110
A1  - Kim, Jintae
AU  - Oh, Yun-Tak
AU  - Bulmash, Daniel
AU  - Han, Jung Hoon
AB  - Some topological lattice models in two spatial dimensions exhibit intricate lattice size dependence in their ground state degeneracy (GSD). This and other features such as the position-dependent anyonic excitations are manifestations of UV/IR mixing. In the first part of this paper, we perform an exact calculation of the topological entanglement entropy (TEE) for a specific model, the rank-2 toric code. This analysis includes both contractible and non-contractible boundaries, with the minimum entropy states identified specifically for non-contractible boundaries. Our results show that TEE for a contractible boundary remains independent of lattice size, whereas TEE for non-contractible boundaries, similarly to the GSD, shows intricate lattice-size dependence. In the latter part of the paper we focus on the fact that the rank-2 toric code is an example of a translation symmetry-enriched topological phase, and show that viewing distinct lattice size as a consequence of different translation symmetry defects can explain both our TEE results and the GSD of the rank-2 toric code. Our work establishes the translation symmetry defect framework as a robust description of the UV/IR mixing in topological lattice models.
ER  -

@Article{10.21468/SciPostPhys.18.3.110,
	title={{Unveiling UV/IR mixing via symmetry defects: A view from topological entanglement entropy}},
	author={Jintae Kim and Yun-Tak Oh and Daniel Bulmash and Jung Hoon Han},
	journal={SciPost Phys.},
	volume={18},
	pages={110},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.3.110},
	url={https://scipost.org/10.21468/SciPostPhys.18.3.110},
}