Anomaly cancellation and selfdual lattices
Abstract
We give a simple proof that a heterotic string in 8_{m}+2 dimensions whose bosonic sector has been compactified on any selfdual lattice gives rise to a field theory in which the anomaly can be cancelled by the simplest GreenSchwarz mechanism. We obtain a generating function for the anomalies of these heterotic string theories. The fact that the anomalies do not cancel completely is related to an anomalous modular transformation property of the generating function.
Work supported in part by National Science Foundation Grant #8407109 and by the US Department of Energy (DOE) under contract #DEAC0276ER03069.
 Publication:

Physics Letters B
 Pub Date:
 December 1986
 DOI:
 10.1016/03702693(86)900596
 Bibcode:
 1986PhLB..181..339S