D-term Dynamical Supersymmetry Breaking Generating Split N=2 Gaugino Masses of Mixed Majorana-Dirac Type
arXiv:1109.2276 · doi:10.1142/S0217751X1250159X
Abstract
Under a few mild assumptions, N=1 supersymmetry in four dimensions is shown to be spontaneously broken in a self-consistent Hartree-Fock approximation of BCS/NJL type to one-loop off-shell, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possesses N=2 extended supersymmetry spontaneously broken to N=1 at tree level. The N=2 gauginos receive mixed Majorana-Dirac masses and are split. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution.
4 pages, the paper extended (a numerical plot of the solution to the gap equation, an estimate of the decay rate of the metastable vacuum, and discussion on nonvanishing <F^0> term induced by the D term dynamical supersymmetry breaking diven), references added
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