4 citations · 15 across the 6 of their papers we have counts for
5 papers · 1 filter
Classification of -quadratic unitary fusion categories
Cain Edie-Michell, Masaki Izumi, David Penneys
A unitary fusion category is called -quadratic if it has a group of invertible objects and one other orbit of simple objects under…
Q-system completion is a 3-functor
Quan Chen, David Penneys
Q-systems are unitary versions of Frobenius algebra objects which appeared in the theory of subfactors. In recent joint work with R. Hernández Palomares and C. Jones, the authors d…
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…
The Extended Haagerup fusion categories
Pinhas Grossman, Scott Morrison, David Penneys +2
In this paper we construct two new fusion categories and many new subfactors related to the exceptional Extended Haagerup subfactor. The Extended Haagerup subfactor has two even pa…
Unitary dual functors for unitary multitensor categories
David Penneys
We classify which dual functors on a unitary multitensor category are compatible with the dagger structure in terms of groupoid homomorphisms from the universal grading groupoid to…