Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions
High Energy Physics - Theory
2009-11-11 v2 High Energy Physics - Lattice
Abstract
Using an elementary method, we show that an odd number of Majorana fermions in dimensions suffer from a gauge anomaly that is analogous to the Witten global gauge anomaly. This anomaly cannot be removed without sacrificing the perturbative gauge invariance. Our construction of higher-dimensional examples () makes use of the SO(8) instanton on .
Cite
@article{arxiv.hep-th/0601026,
title = {Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions},
author = {Masashi Hayakawa and Hiroshi Suzuki},
journal= {arXiv preprint arXiv:hep-th/0601026},
year = {2009}
}
Comments
10 pages, uses PTPTeX.cls, the final version to appear in Prog. Theor. Phys