Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions

  title={Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions},
  author={Michael H. Freedman and Matthew B. Hastings and C. Nayak and Xiao-liang Qi and Kevin Walker and Zhenghan Wang},
  journal={Physical Review B},
In a recent paper, Teo and Kane [Phys. Rev. Lett. 104, 046401 (2010)] proposed a three-dimensional (3D) model in which the defects support Majorana fermion zero modes. They argued that exchanging and twisting these defects would implement a set $\mathcal{R}$ of unitary transformations on the zero-mode Hilbert space which is a ``ghostly'' recollection of the action of the braid group on Ising anyons in two dimensions. In this paper, we find the group ${\mathcal{T}}_{2n}$, which governs the… Expand
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