Beyond N = 1 Supergravity
The gauge symmetry describing electro-weak unification has to be put in by hand. Thus, we really need two fundamental principles to derive the laws of physics: first, the equivalence principle to derive gravitational forces; and second, the local Yang-Mills symmetry to derive the rest of the interactions. It certainly would be more satisfying if both these principles could be combined into one.
The matter fields are chosen to fit phenomenology rather than being an outcome of the theoretical principles. It would certainly be more desirable if the basic principle that yields the physical laws could also yield the matter multiplets.
Finally, the age-old problem of divergences that beset the local field theories since their introduction to physics does not get resolved by the N = 1 supergravity theories. In fact, this problem is worse for N = 1 supergravity theories than either globaly supersymmetric or non-supersymmetric theories. In that sense, it could be construed as a step backward in the quest for the ultimate theory.
KeywordsGauge Group Clifford Algebra Supergravity Theory Supersymmetric Theory Weyl Spinor
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