On the Extension of Stringlike Localised Sectors in 2+1 Dimensions
On the Extension of Stringlike Localised Sectors in 2+1 Dimensions
In the framework of algebraic quantum field theory, we study the category $${\Delta_{{\rm BF}}^{\mathfrak{A}}}$$ of stringlike localised representations of a net of observables $${\mathcal{O} \mapsto \mathfrak{A}(\mathcal{O})}$$ in three dimensions. It is shown that compactly localised (DHR) representations give rise to a non-trivial centre of $${\Delta_{{\rm BF}}^{\mathfrak{A}}}$$ with respect to the …