Twisted Sectors and Chern-Simons Terms in M-Theory Orbifolds

Abstract

It is shown that the twisted sector spectrum, as well as the associated Chern-Simons interactions, can be determined on M-theory orbifold fixed planes that do not admit gravitational anomalies. This is demonstrated for the seven-planes arising within the context of an explicit $R^6\times S^1/Z_2\times T^4/Z_2$ orbifold, although the results are completely general. Local anomaly cancellation in this context is shown to require fractional anomaly data that can only arise from a twisted sector on the seven-planes, thus determining the twisted spectrum up to a small ambiguity. These results open the door to the construction of arbitrary M-theory orbifolds, including those containing fixed four-planes which are of phenomenological interest.

21 pages, LaTeX

References in corpus (1)

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

Cited by in corpus (2)

• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Quiver Gauge Theory and Conformality at the TeV Scale