Abstract
With the previously obtained classification of potentially supersymmetric models in noncommutative geometry we now address the question on how to naturally break supersymmetry. In this chapter we will shortly review soft supersymmetry breaking and analyze the question which soft supersymmetry breaking terms are present in the spectral action. We find that all possible soft supersymmetry breaking terms can be generated by simply taking into account additional contributions to the action that arise from introducing gaugino masses. In addition there can be contributions from the second Seeley-DeWitt coefficient that is already part of the spectral action.
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Notes
- 1.
Here we assume that each component of the finite Dirac operator generates only a single field, instead of—say—two composite ones.
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Beenakker, W., van den Broek, T., van Suijlekom, W.D. (2016). Supersymmetry Breaking. In: Supersymmetry and Noncommutative Geometry. SpringerBriefs in Mathematical Physics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-24798-4_3
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DOI: https://doi.org/10.1007/978-3-319-24798-4_3
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