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Gauge Anomaly associated with the Majorana Fermion in \(8k+1\) dimensions
Preprint
05 January 2006
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Abstract
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 \(S^8\).