1 citations · 1 across the 2 of their papers we have counts for
5 papers
Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system
Peter E. Finch
In this article we consider conditions under which projection operators in multiplicity free semi-simple tensor categories satisfy Temperley-Lieb like relations. This is then used…
clock models and chains of non-Abelian anyons: symmetries, integrable points and low energy properties
Peter E. Finch, Michael Flohr, Holger Frahm
We study two families of quantum models which have been used previously to investigate the effect of topological symmetries in one-dimensional correlated matter. Various striking s…
Classification of Metaplectic Fusion Categories
Eddy Ardonne, Peter E. Finch, Matthew Titsworth
In this paper, we study a family of fusion and modular systems realizing fusion categories Grothendieck equivalent to the representation category for . These categories…
From tensor category to Temperley-Lieb algebra representation
Peter E. Finch, Zoltan Kadar, Paul Martin
We construct a representation of the Temperley-Lieb algebra from a multiplicity-free semisimple monoidal Abelian category , with two simple objects and such that…
Exact solution of the non-Abelian anyon chain
Natalia Braylovskaya, Peter E. Finch, Holger Frahm
Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensional irreducible representation of the dihedral group (or, equivalently, t…