Notes on 8 Majorana Fermions

Author:

Tong David1,Turner Carl1

Affiliation:

1. University of Cambridge

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 {\bf Z}_2 global and gauge symmetries and their coupling to background spin structures.

Funder

Gonville and Caius College, University of Cambridge

Science and Technology Facilities Council

Simons Foundation

Publisher

Stichting SciPost

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