Using an elementary method, we show that an odd number of Majorana fermions in 8k + 1 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 (k ≥ 1) makes use of the SO(8) instanton on S8.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)