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This PhD thesis aims at combining the framework of noncommutative geometryand supersymmetry. A particular class of non-commutative geometries calledalmost-commutative geometries can be used to describe particle theories. Thisthesis contains a systematic search for such almost-commutative geometrieswhose corresponding spectral action exhibits supersymmetry. Chapter 2 discussesextensions of the Standard Model in the context of noncommutative geometry ingeneral. In Chapter three a framework is developed to build and analyzepotential supersymmetric theories. Chapter 4 covers supersymmetry breakingmechanisms in this context. Finally, the approach of Chapter three is appliedto what is to yield the non-commutative version of the MSSM in Chapter 5.

Supersymmetry and the Spectral Action. On a geometrical interpretation of the MSSM