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Let's consider superstring theory on a 10 dimensional Minkowski background. And assume there is a D3-brane on which the open strings end and closed strings wander around freely in the background. I want to know, in what limit this gives a supergravity theory in which I can study it by using the brane's SEM tensor in the Einstein's equations to find the curved metric? And in what limit this gives a U(1) gauge theory?(Its easy to say the low energy limit, but how is it that there are two different low energy limits? How are these low energy limits derived from the full theory?)
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