Majorana Fermions and Representations of the Braid Group

  title={Majorana Fermions and Representations of the Braid Group},
  author={Louis H. Kauffman},
  journal={arXiv: Geometric Topology},
  • L. Kauffman
  • Published 2017
  • Physics, Mathematics
  • arXiv: Geometric Topology
In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra. The paper recalls and proves a general result about braid group representations associated with Clifford algebras, and compares this result with the Ivanov braiding associated with Majorana operators. The paper generalizes observations of Kauffman and Lomonaco and of Mo-Lin Ge to show that certain strings of… Expand

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