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Notes on 8 Majorana Fermions

High Energy Physics - Theory 2020-04-01 v2 Strongly Correlated Electrons

Abstract

Eight Majorana fermions in d=1+1d=1+1 dimensions enjoy a triality that permutes the representation of the SO(8)SO(8) global symmetry in which the fermions transform. This triality plays an important role in the quantization of the superstring, and in the analysis of interacting topological insulators and the associated phenomenon of symmetric mass generation. The purpose of these notes is to provide an introduction to the triality and its applications, with careful attention paid to various Z2{\bf Z}_2 global and gauge symmetries and their coupling to background spin structures.

Keywords

Cite

@article{arxiv.1906.07199,
  title  = {Notes on 8 Majorana Fermions},
  author = {David Tong and Carl Turner},
  journal= {arXiv preprint arXiv:1906.07199},
  year   = {2020}
}

Comments

19 pages plus 2 appendices. v2: Typos fixed

R2 v1 2026-06-23T09:56:03.273Z