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We briefly review studies of off-shell stability of vacuum geometries insemiclassical gravity. We propose a study of off-shell stability of vacua instring theory by a distinct, though somewhat related approach -- by studyingtheir stability under suitable world-sheet sigma model renormalization group(RG) flows. Stability under RG flow is a mathematically well-posed andtractable problem in many cases, as we illustrate through examples. Theadvantage is that we can make definite predictions about late time behaviourand endpoints of off-shell processes in string theory. This is a contributionto the proceedings of Theory Canada 4, CRM Montreal.

A proposal for studying off-shell stability of vacuum geometries in string theory