Probing near extremal black holes with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-branes

Abstract

We calculate the one loop effective action for $D$-brane probes moving in the presence of near Bogomol'nyi-Prasad-Sommerfield $D$-branes. The ${v}^{2}$ term agrees with supergravity in all cases and the static force agrees for a five-dimensional black hole with two large charges. It also agrees qualitatively in all the other cases. We make some comments on the $M(\mathrm{atrix})$ theory interpretation of these results.