Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory

TL;DR

This paper develops a systematic approach to analyze and cancel local anomalies on intersecting orbifold planes in M-theory, revealing that anomaly matching can require twisted matter even on planes that typically do not support anomalies, with implications for lower-dimensional physics.

Contribution

It introduces a method for local anomaly cancellation in intersecting orbifold planes in M-theory, highlighting the role of twisted matter in anomaly matching on various dimensional planes.

Findings

Local anomalies can be canceled through a systematic approach.

Twisted matter may be necessary on anomaly-free planes.

Implications for four-dimensional physics are discussed.

Abstract

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.