Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-19
Nucl.Phys.B540:149-186,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
35 pages, Latex, 9 figures, discussion of the extension of the results to the gauged supergravity model has been added at the
Scientific paper
10.1016/S0550-3213(98)00749-4
We discuss the reduction of the eleven-dimensional M-theory effective Lagrangian, considering first compactification from eleven to five dimensions on a Calabi-Yau manifold, followed by reduction to four dimensions on an S_1/Z_2 line segment at a larger distance scale. The Calabi-Yau geometry leads to a structure of the five-dimensional Lagrangian that has more freedom than the eleven-dimensional theory. In five dimensions one obtains a non-linear sigma-model coupled to gravity, which implies non-trivial dynamics for the scalar moduli fields in the bulk of the Z_2 orbifold. We discuss solutions to the five-dimensional equations of motion in the presence of sources localized on the boundaries of the Z_2 orbifold that may trigger supersymmetry breaking, e.g., gaugino condensates. The transmission of supersymmetry breaking from the hidden wall to the visible wall is demonstrated in specific models. The role of the messenger of supersymmetry breaking may be played by the gravity supermultiplet and/or by scalar hypermultiplets. The latter include the universal hypermultiplet associated with the Calabi-Yau volume, and also the hypermultiplets associated with deformations of its complex structure, which mix in general.
Ellis John
Lalak Zygmunt
Pokorski Stefan
Pokorski Witold
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