Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-08
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages
Scientific paper
We discuss some phenomenological aspects of gauged supersymmetric $\gs$--models on homogeneous coset-spaces $\ESO$ and $SO(10)/U(5)$ which are some of the most interesting for phenomenology. We investigate in detail the vacuum configurations of these models, and study the resulting consequences for supersymmetry breaking and breaking of the internal symmetry. Some supersymmetric minima for both models with gauged full isometry groups $E_6$ and SO(10) are physically problematic as the Kaehler metric becomes singular and hence the kinetic terms of the Goldstone boson multiplets vanish. This leads us to introduce recently proposed soft supersymmetry-breaking mass terms which displace the minimum away from the singular point. A non-singular Kaehler metric breaks the linear subgroup $SO(10)\times U(1)$ of the $E_6$ model spontaneously. The particle spectrum of all these different models is computed.
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