Alternative extension of supersymmetry

Physics

Scientific paper

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Supersymmetry, Supergravity, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Renormalization

Scientific paper

Alternative extensions of supersymmetry in higher dimensions are explored. A general Weyl-spinor-type extension is found that becomes just N=1 supersymmetry in 3+1 dimensions. In higher dimensions it can be broken to (N=1 supersymmetry) ⊗ (internal group), where the internal group can easily contain the standard model. Off-shell superspace actions are constructed. The flat-space generalization of the Wess-Zumino action is quantized and shown to be ultraviolet finite to all orders, when in higher dimensions. An off-shell superspace action for supergravity based on the alternative supersymmetry is given, and some prospects for quantization and dimensional reduction of this action are discussed.

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