71 citations · 368 across the 51 of their papers we have counts for
61 papers
Superselection theory for 2D braided quantum spin systems via Connes fusion
Gregory Faurot, Charlton Li, David Penneys +1
The article arXiv:2410.21454 constructed a braided -tensor category of superselection sectors associated to a net of von Neumann algebras on a suitably geometric pose…
Orthonormal bases for higher Hilbert spaces
Giovanni Ferrer, Brett Hungar, David Penneys +1
In our previous article [arxiv:2410.05120], we introduced the notion of a finite dimensional 3-Hilbert space, categorifying Baez's 2-Hilbert spaces. In this article, by further cat…
The many faces of higher Hilbert spaces
Giovanni Ferrer, Lukas Müller, David Penneys +1
Finite-dimensional operator algebras can be viewed as , , or -algebras, leading to different notions for their categories of modules and c…
Non-invertible symmetry enriched string net topological orders
Luisa Eck, Peter Huston, Kyle Kawagoe +1
We propose a definition of a non-invertible symmetry enriched topological order (NI-SETO), and we implement our definition for string net models. We do so in two ways, using full i…
Local topological order, Haag duality, and reflection positivity
Pieter Naaijkens, David Penneys, Daniel Wallick
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for abstract quantum spin systems which allow one to access topological order via a b…
Holography for bulk-boundary local topological order
Corey Jones, Pieter Naaijkens, David Penneys
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for quantum spin systems which allowed us to define a physical boundary (associated t…