Gauge Anomaly associated with the Majorana Fermion in 8 k + 1 dimensions
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چکیده
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 S. ∗) E-mail: [email protected] ∗∗) E-mail: [email protected] 1 typeset using PTPTEX.cls 〈Ver.0.9〉
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تاریخ انتشار 2006