TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.076
TI  - Composing topological domain walls and anyon mobility
PY  - 2023/09/04
UR  - https://www.scipost.org/SciPostPhys.15.3.076
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 076
A1  - Huston, Peter
AU  - Burnell, Fiona
AU  - Jones, Corey
AU  - Penneys, David
AB  - Topological domain walls separating 2+1 dimensional topologically ordered phases can be understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk topological orders. However, this picture does not provide a framework for decomposing stacks of multiple domain walls into superselection sectors — i.e., into fundamental domain wall types that cannot be mixed by any local operators. Such a decomposition can be understood using an alternate framework in the case that the topological order is anomaly-free, in the sense that it can be realized by a commuting projector lattice model. By placing these Witt equivalences in the context of a 3-category of potentially anomalous (2+1)D topological orders, we develop a framework for computing the decomposition of parallel topological domain walls into indecomposable superselection sectors, extending the previous understanding to topological orders with non-trivial anomaly. We characterize the superselection sectors in terms of domain wall particle mobility, which we formalize in terms of tunnelling operators. The mathematical model for the 3-category of topological orders is the 3-category of fusion categories enriched over a fixed unitary modular tensor category.
ER  -

@Article{10.21468/SciPostPhys.15.3.076,
	title={{Composing topological domain walls and anyon mobility}},
	author={Peter Huston and Fiona Burnell and Corey Jones and David Penneys},
	journal={SciPost Phys.},
	volume={15},
	pages={076},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.076},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.076},
}