The scalar potential of theories with broken supersymmetry can have a number
of local minima characterized by different gauge groups. Symmetry properties of
the physical vacuum constrain the parameters of the MSSM. We discuss these
constraints, in particular those that result from the vacuum stability with
respect to quantum tunneling.Comment: 3 pages, latex, macros and three figures included, complete
postscript file is available at
ftp://dept.physics.upenn.edu/pub/Kusenko/SUSY96.ps . Talk presented at
SUSY'96, University of Maryland, May 29 - June 1, 199