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Prog. Theor. Phys. Vol. 115 No. 6 (2006) pp. 1129-1136
Gauge Anomaly Associated with the Majorana Fermion in 8k + 1 Dimensions
Masashi Hayakawa* and
Hiroshi Suzuki**
Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan
(Received January 23, 2006)
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 ≥1) makes use of the SO(8)
instanton on S8.
URL :
http://ptp.ipap.jp/link?PTP/115/1129/
DOI : 10.1143/PTP.115.1129
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 197-215
:
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Overlap Lattice Fermion in a Gravitational Field
-
Masashi Hayakawa, Hiroto So and Hiroshi Suzuki
