Abstract
The requirement of integrability in all light-like superplanes yields the proper constraints for ordinary (N=1) and extended (N=2, 4) supersymmetric Yang-Mills theories (SSYM) and for ordinary (N=1) supergravity. It is suggested that this geometrical principle yields the proper constraints for all ordinary and extended SSYM and supergravity theories in all space-time dimensions where such theories exist.
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