Abstract
The conditions for cancellation of gravitational anomalies in d=6 chiral supergravities based on the systematic use of index theorems are examined here. The authors point out the minimal necessary combinations of chiral fermions (with spin 3/2 and 1/2) and (anti-) self-dual antisymmetric tensors, as well as the corresponding combinations of N=1, d=6 supermultiplets that ensure cancellation of gravitational anomalies.
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