Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-21
Nucl.Phys.B791:125-163,2008
Physics
High Energy Physics
High Energy Physics - Theory
50 pages with 1 figure. Dedicated to M. Quiros for his 60th birthday. Refs added and typos corrected. Version to appear in Nuc
Scientific paper
10.1016/j.nuclphysb.2007.09.010
We consider a space-time with extra dimensions containing sectors, branes and bulk, that communicate only through gravitational interactions. In each sector, if considered separately, supersymmetry could be spontaneously broken, leading to the appearance of Goldstinos. However, when taken all together, only certain combinations of the latter states turn out to be true ``would be Goldstinos'', eaten by the gravitinos. The other (orthogonal) combinations, we call pseudo-Goldstinos, remain in the low energy spectrum. We discuss explicitly how this happen in the simplest set-up of five-dimensional space compactified on S^1/Z_2 . Our results divide into two parts that can be considered separately. First, we build an extension of the bulk five-dimensional supergravity, by a set of new auxiliary fields, that allows coupling it to branes where supersymmetry is spontaneously broken. Second, we discuss in details the super Higgs mechanism in the R_\xi and unitary gauges, in the presence of both of a bulk Scherk-Schwarz mechanism and brane localized F-terms. This leads us to compute the gravitino mass and provide explicit formulae for the pseudo-Goldstinos spectrum.
Benakli Karim
Moura Cesar
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