20 citations · 83 across the 9 of their papers we have counts for
10 papers
Computing associators of endomorphism fusion categories
Daniel Barter, Jacob C. Bridgeman, Ramona Wolf
Many applications of fusion categories, particularly in physics, require the associators or -symbols to be known explicitly. Finding these matrices typically involves solving va…
Computing data for Levin-Wen with defects
Jacob C. Bridgeman, Daniel Barter
We demonstrate how to do many computations for non-chiral topological phases with defects. These defects may be 1-dimensional domain walls or 0-dimensional point defects. Using $\o…
Computing Defects Associated to Bounded Domain Wall Structures: The Case
Jacob C. Bridgeman, Daniel Barter
A domain wall structure consists of a planar graph with faces labeled by fusion categories/topological phases. Edges are labeled by bimodules/domain walls. When the vertices are la…
Fusing Binary Interface Defects in Topological Phases: The case
Jacob C. Bridgeman, Daniel Barter, Corey Jones
A binary interface defect is any interface between two (not necessarily invertible) domain walls. We compute all possible binary interface defects in Kitaev's $\mathbb{Z}/p\mathbb{…
Domain walls in topological phases and the Brauer-Picard ring for
Daniel Barter, Jacob C. Bridgeman, Corey Jones
We show how to calculate the relative tensor product of bimodule categories (not necessarily invertible) using ladder string diagrams. As an illustrative example, we compute the Br…
Deligne categories and representations of the infinite symmetric group
Daniel Barter, Inna Entova-Aizenbud, Thorsten Heidersdorf
We establish a connection between two settings of representation stability for the symmetric groups over . One is the symmetric monoidal category ${\rm Rep}(S_{\i…