Global Anomalies in Six Dimensions

摘要

Applying Witten's formula for global gauge and gravitational anomalies to six dimensional supergravities, we find: (a) The perturbatively anomaly free N=4 chiral supergravity coupled to 21 tensor multiplets is global anomaly free for any choice of space-time manifold with vanishing third Betti number (b/sub 3/). (b) The perturbatively anomaly free matter coupled N=2 chiral supergravities with arbitrary number of tensor multiplets, whose Yang-Mills gauge groups do not include G/sub 2/, SU(2), or SU(3) are free of global anomalies if the theory is formulated on S/sup 6/. In the case of 9 tensor multiplets coupled to supergravity this result holds for any spacetime with vanishing b/sub 3/. (c) The N=6 chiral supergravity has perturbative gravitational anomalies, and therefore the global anomalies need not be considered in this case. 26 refs. (Atomindex citation 18:010780)