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Recently there has been much progress in building models of gauge mediation, often with predictions different than those of minimal gauge mediation.
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For early constructions with more general spectra, see, for example: S. Dimopoulos, S. D. Thomas and J. D. Wells, Nucl. Phys. B 488
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For a review of gauge mediation, with extensive references, see G. F. Giudice and R. Rattazzi, Phys. Rept. 322
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M. Dine, J. L. Feng and E. Silverstein, arXiv:hep-th/0608159
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