Anomaly cancellation in M-theory: a critical review

Details Anomaly cancellation in M-theory: a critical review Anomaly cancellation in M-theory: a critical review

2003-07-17

arxiv.org/abs/hep-th/0307152v1

Nucl.Phys. B675 (2003) 416-446

Physics

High Energy Physics

High Energy Physics - Theory

35 pages

Scientific paper

10.1016/j.nuclphysb.2003.10.002

We carefully review the basic examples of anomaly cancellation in M-theory: the 5-brane anomalies and the anomalies on S^1/Z_2. This involves cancellation between quantum anomalies and classical inflow from topological terms. To correctly fix all coefficients and signs, proper attention is paid to issues of orientation, chirality and the Euclidean continuation. Independent of the conventions chosen, the Chern-Simons and Green-Schwarz terms must always have the same sign. The reanalysis of the reduction to the heterotic string on S^1/Z_2 yields a surprise: a previously neglected factor forces us to slightly modify the Chern-Simons term, similar to what is needed for cancelling the normal bundle anomaly of the 5-brane. This modification leads to a local cancellation of the anomaly, while maintaining the periodicity on S^1.

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