4 citations · 20 across the 17 of their papers we have counts for
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Boundary algebras of the Kitaev Quantum Double model
Mario Tomba, Shuqi Wei, Brett Hungar +4
The recent article [arXiv:2307.12552] gave local topological order (LTO) axioms for a quantum spin system, showed they held in Kitaev's Toric Code and in Levin-Wen string net model…
Classification of finite depth objects in bicommutant categories via anchored planar algebras
André Henriques, David Penneys, James Tener
In our article [arXiv:1511.05226], we studied the commutant of a unitary fusion category , where is a hyperfinite facto…
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys +1
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's T…
Enriched string-net models and their excitations
David Green, Peter Huston, Kyle Kawagoe +3
Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations. Give…