On the stability of a non-supersymmetric ground state
نویسنده
چکیده
We consider the gauged N = 2 (simple) supersymmetric seven-dimensional ( d = 7 ) supergravity theory with the scalar field potential having two critical points. Applying a modified Witten argument reduces the question of stability to deciding if a particular non-linear ordinary differential equation has a global solution. We show that it does and that therefore the non-supersymmetric ground state is stable against arbitrary spin-0, spin-1 and spin-2 fluctuations.
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