Abstract
We find that the conjectured heterotic SO ( 32 ) five-brane sigma model develops necessarily k-anomalies, and we investigate their form. We show that these anomalies can be absorbed by modifications of the superspace constraints, that satisfy automatically the modified Bianchi-identity d H 7 = X 8 of N = 1 , D = 10 supergravity. The k-anomalies induce in particular a quantum deformation of the torsion constraint T α β a = 2 γ α β a .
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