Probing Near Extremal Black Holes with D-branes

TL;DR

This paper calculates the one-loop effective action for D-brane probes near near BPS D-branes, confirming supergravity predictions and exploring implications for M(atrix) theory.

Contribution

It provides a detailed comparison between D-brane probe calculations and supergravity for near extremal black holes, including new insights into M(atrix) theory.

Findings

$v^2$ term matches supergravity in all cases

Static force agrees for five-dimensional black holes with two large charges

Qualitative agreement in other cases

Abstract

We calculate the one loop effective action for D-brane probes moving in the presence of near BPS 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(atrix) theory interpretation of these results.