Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions

Details Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions

2006-01-05

arxiv.org/abs/hep-th/0601026v2

Prog.Theor.Phys. 115 (2006) 1129-1136

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, uses PTPTeX.cls, the final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.115.1129

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 ($k geq1$) makes use of the SO(8) instanton on $S^8$.

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