Anomalies in M-theory on singular G_2-manifolds

Details Anomalies in M-theory on singular G_2-manifolds Anomalies in M-theory on singular G_2-manifolds

2003-03-27

arxiv.org/abs/hep-th/0303243v3

Nucl.Phys. B672 (2003) 239-263

Physics

High Energy Physics

High Energy Physics - Theory

29 pages; references added, version to appear in Nucl.Phys. B

Scientific paper

10.1016/j.nuclphysb.2003.08.044

When M-theory is compactified on G_2-holonomy manifolds with conical singularities, charged chiral fermions are present and the low-energy four-dimensional theory is potentially anomalous. We reconsider the issue of anomaly cancellation, first studied by Witten. We propose a mechanism that provides local cancellation of all gauge and mixed gauge-gravitational anomalies, i.e. separately for each conical singularity. It is similar in spirit to the one used to cancel the normal bundle anomaly in the presence of five-branes. It involves smoothly cutting off all fields close to the conical singularities, resulting in an anomalous variation of the 3-form C and of the non-abelian gauge fields present if there are also ADE singularities.

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