Gauge anomaly associated with the Majorana fermion in 8k + 1 dimensions

Masashi Hayakawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1129-1136
Number of pages8
JournalProgress of Theoretical Physics
Issue number6
Publication statusPublished - Jun 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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