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arXiv · 1801.04697

Gauge anomaly with vector and axial-vector fields in six dimensional curved space

Satoshi Yajima·Kohei Eguchi·Makoto Fukuda·Tomonori Oka
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Abstract

Imposing the conservation equation of the vector current for a fermion of spin $\frac{1}{2}$ at the quantum level, a gauge anomaly for the fermion coupling with non-Abelian vector and axial--vector fields in six--dimensional curved space is expressed in tensorial form. The anomaly consists of terms that resemble the chiral U(1) anomaly and the commutator terms that disappear if the axial--vector field is Abelian.

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Satoshi Yajima, Kohei Eguchi, Makoto Fukuda, Tomonori Oka. 2018-01-15. Gauge anomaly with vector and axial-vector fields in six dimensional curved space. https://doi.org/10.1093/ptep/pty007

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