Dimensional Reduction over Coset Spaces and Supersymmetry Breaking

Abstract

We address the question of supersymmetry breaking of a higher dimensional supersymmetric theory due to coset space dimensional reduction. In particular we study a ten-dimensional supersymmetric $E_8$ gauge theory which is reduced over all six-dimensional coset spaces. We find that the original supersymmetry is completely broken in the process of dimensional reduction when the coset spaces are symmetric. On the contrary softly broken four-dimensional supersymmetric theories result when the coset spaces are non-symmetric. From our analysis two promising cases are emerging which lead to interesting GUTs with three fermion families in four dimensions, one being non-supersymmetric and the other softly broken supersymmetric.

32 pages, misprints corrected, references added

References in corpus (3)

• The Origin of Spontaneous Symmetry Breaking in Theories with Large Extra Dimensions
• Models with Extra Dimensions and Their Phenomenology
• Soft Supersymmetry Breaking due to Dimensional Reduction over Non-Symmetric Coset Spaces

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• On the consistency of coset space dimensional reduction
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• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
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• Soft Supersymmetry Breaking from Coset Space Dimensional Reduction
• Nearly-Kaehler dimensional reduction of the heterotic string