Cosmology of the Next-to-Minimal Supersymmetric Standard Model

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We discuss the domain wall problem in the Next-to-Minimal Supersymmetric Standard Model, with particular attention to the usual solution of explicit breaking of the discrete symmetry by non-renormalisable operators. This ``solution'' leads to a contradiction between the requirements of cosmology and those of avoiding the destabilisation of the hierarchy.
6 pages LaTeX, needs sprocl.sty (included at end) Talk presented by P.L. White at Valencia 95

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