# Notes on 8 Majorana Fermions

### Submission summary

 As Contributors: David Tong · Carl Turner Arxiv Link: https://arxiv.org/abs/1906.07199v2 (pdf) Date accepted: 2020-03-26 Date submitted: 2020-03-05 01:00 Submitted by: Turner, Carl Submitted to: SciPost Physics Lecture Notes Academic field: Physics Specialties: Condensed Matter Physics - Theory High-Energy Physics - Theory Approach: Theoretical

### Abstract

Eight Majorana fermions in $d=1+1$ dimensions enjoy a triality that permutes the representation of the $SO(8)$ 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 ${\bf Z}_2$ global and gauge symmetries and their coupling to background spin structures.

### Ontology / Topics

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Published as SciPost Phys. Lect. Notes 14 (2020)