63 citations · 270 across the 21 of their papers we have counts for
5 papers · 1 filter
A remark about the anomalies of cyclic holomorphic permutation orbifolds
Marcel Bischoff
Using a result of Longo and Xu, we show that the anomaly arising from a cyclic permutation orbifold of order 3 of a holomorphic conformal net with central charge $c=8k…
Hopf algebra actions in tensor categories
Marcel Bischoff, Alexei Davydov
We prove that commutative algebras in braided tensor categories do not admit faithful Hopf algebra actions unless they come from group actions. We also show that a group action all…
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 rank of -crossed braided extensions of modular tensor categories
Marcel Bischoff
We give a short proof for a well-known formula for the rank of a -crossed braided extension of a modular tensor category.
Conformal Net Realizability of Tambara-Yamagami Categories and Generalized Metaplectic Modular Categories
Marcel Bischoff
We show that all isomorphism classes of even rank Tambara-Yamagami categories arise as -twisted representations of conformal nets. As a consequence, we show that thei…