Global Anomalies in Canonical Gravity

Details Global Anomalies in Canonical Gravity Global Anomalies in Canonical Gravity

1997-09-23

arxiv.org/abs/hep-th/9709170v2

Nucl.Phys. B523 (1998) 391-402

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, uses packages amstex, amssymb. One reference added, one sign error corrected. Conclusions unchanged. To appea

Scientific paper

10.1016/S0550-3213(98)00286-7

In this note we study the structure of diffeomorphism anomalies in 3+1 canonical gravity coupled to a chiral massless fermion. We find that when the spatial manifold is S^3 or a Lens space L(p,q), the first homotopy group of the related diffeomorphism group can be nontrivial and hence the question of global anomalies becomes relevant. Here we show that for gravity coupled to SU(2) chiral fermions, assuming the strong form of the Hatcher conjecture, SU(2)-induced diffeomorphism anomalies do not occur whenever the spatial manifold is S^3 or a Lens space.

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