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20122023
most citedOperator algebras in rigid C*-tensor categories

71 citations · 232 across the 20 of their papers we have counts for

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math.QA2018★ 19 cited

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…

math.QA2018★ 18 cited

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{…

math.QA2018★ 16 cited

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…

math.QA2018★ 12 cited

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…

math.QA2018

Free oriented extensions of subfactor planar algebras

Shamindra Kumar Ghosh, Corey Jones, B Madhav Reddy

We show that the restriction functor from oriented factor planar algebras to subfactor planar algebras admits a left adjoint, which we call the free oriented extension functor. We…

math.QA2018★ 4 cited

Fusion Rules for Permutation Gauging

Cain Edie-Michell, Corey Jones, Julia Plavnik

In this note, we examine the gauging of the permutation action on the tensor square of a modular tensor category. When has no nontrivial inve…