9 papers · 1 filter
Unitary connections on Bratteli diagrams
Paramita Das, Mainak Ghosh, Shamindra Ghosh +1
In this paper, we extend Ocneanu's theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unit…
Rank-finiteness for G-crossed braided fusion categories
Corey Jones, Scott Morrison, Dmitri Nikshych +1
We establish rank-finiteness for the class of -crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braid…
Spontaneous symmetry breaking from anyon condensation
Marcel Bischoff, Corey Jones, Yuan-Ming Lu +1
In a physical system undergoing a continuous quantum phase transition, spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the g…
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…
Vanishing of categorical obstructions for permutation orbifolds
Terry Gannon, Corey Jones
The orbifold construction for a finite group is fundamental in rational conformal field theory. The construction of from on the categorical l…