Daniel Barter

collaborators

Showing math.QAShow all

3 papers · 1 filter

math.QA2019

Computing Defects Associated to Bounded Domain Wall Structures: The $Vec (Z / p Z)$ 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…

math.QA2018

Fusing Binary Interface Defects in Topological Phases: The $Vec (Z / p Z)$ 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{…

math.QA2018

Domain walls in topological phases and the Brauer-Picard ring for $Vec (Z / p Z)$

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…

Computing Defects Associated to Bounded Domain Wall Structures: The Vec(Z/pZ) Case

Fusing Binary Interface Defects in Topological Phases: The Vec(Z/pZ) case

Domain walls in topological phases and the Brauer-Picard ring for Vec(Z/pZ)

Computing Defects Associated to Bounded Domain Wall Structures: The $Vec (Z / p Z)$ Case

Fusing Binary Interface Defects in Topological Phases: The $Vec (Z / p Z)$ case

Domain walls in topological phases and the Brauer-Picard ring for $Vec (Z / p Z)$