Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory

Details Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory

1999-03-02

arxiv.org/abs/hep-th/9903028v1

Nucl.Phys.B554:437-483,1999

Physics

High Energy Physics

High Energy Physics - Theory

56 pages, Latex

Scientific paper

10.1016/S0550-3213(99)00294-1

A systematic program is developed for analyzing and cancelling local anomalies on networks of intersecting orbifold planes in the context of M-theory. Through a delicate balance of factors, it is discovered that local anomaly matching on the lower-dimensional intersection of two orbifold planes may require twisted matter on those planes which do not conventionally support an anomaly (such as odd-dimensional planes). In this way, gravitational anomalies can, in principle, tell us about (twisted) gauge groups on subspaces which are not necessarily ten-, six- or two-dimensional. An example is worked out for the case of an $S^1/{\bf Z}_2\times T^4/{\bf Z}_2$ orbifold and possible implications for four-dimensional physics are speculated on.

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