Super-b4 coefficients

For a class of supersymmetric theories coupled to background Yang-Mills superfields and on a curved superspace background, the superfield analogue of the heat kernel is defined and the corresponding b₄ superfields are computed. In specific cases, these super-b₄ coefficients are shown to determine the one loop trace supermultiplet and the logarithmically divergent part of the effective action.

Supported in part by a Hackett Studentship from the University of Western Australia.