A STABLE SUPERMEMBRANE VACUUM WITH A DISCRETE SPECTRUM
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We examine the massless spectrum of the supermembrane in the background of four-dimensional anti-de Sitter space times a compact internal space, by considering quantization about a collapsed membrane configuration. We also observe that the vacuum is stable and that the spectrum of massive states is necessarily discrete. In this respect, the supermembrane favours anti-de Sitter over Minkowski space, where the spectrum seems likely to be continuous. 1989.