Abstract
The structure of gauge supersymmetry (with field equations R AB = λg AB ) before and after spontaneous breakdown is analysed. The gauge group of the vacuum metric, after the breakdown is examined. For real gravitational interactions, a metric is constructed which is covariant with respect to Einstein and local vierbein transformations. For the case λ ≠ 0 cancellation of all cosmological terms at the tree level in the gravitational equations that arise from the Bose-Bose sector, R μν = λg μν , and the Bose-Fermi sector, R μα = λg μα , of the superspace equations is exhibited. The field equations arising from the two sectors are shown to be consistent. For the general case the relationship of the broken gauge and internal symmetry, fictitious Goldstone particles (Goldstone bosons as well as germions) and mass growth for high-spin particles (such as spin 3 2 , spin 2 etc.) is discussed. An expansion of the Lagrangian quadratic in fields (e.g. kinetic energy and mass matrices) needed for diagonalization of the theory is given. Details of superspace Riemannian geometry are discussed.
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