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We study massless and massive graviton modes that bind on thick branes which are supergravity domain walls solutions in D-dimensional supergravity theories where only the supergravity multiplet and the scalar supermultiplet are turned on. The domain walls are bulk solutions provided by tachyon potentials. Such domain walls are regarded as Bogomol'nyi-Prasad-Sommerfield (BPS) branes of one lower dimension that are formed due to tachyon potentials on a non-BPS D-brane.
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Bazeia et al. (2003) studied this question.
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