Hi Arituay,
Welcome to the BAUT forum.
I don't think you can say that String/M/Brane theory being correct says that it is certain that gravity leaks from brane to brane. There are many such models, and not all agree about visible multi-dimensional consequences.
I personally don't have links to papers on this, but since there is no shortage, I'm sure someone on the forum will drop by with some pointers soon.
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Forming opinions as we speak
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