Exact Local Supersymmetry, Absence of Superpartners, and Noncommutative Geometries

Abstract

It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle will then be associated with the other layers of such a universe. A concrete model realizing this scenario is exhibited in \2 dimensions, and it is suggested that it may be realizable in 3+1 dimensions. The connection between this nonclassical geometry and noncommutative geometries is discussed.

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