
TL;DR
This paper explores the dynamics of branes near black holes, comparing gauge theory and supergravity calculations, and discusses implications for gauge/gravity duality and Matrix theory.
Contribution
It provides a detailed one-loop analysis of brane interactions near extremal black holes and discusses the correspondence between gauge theories and supergravity in this context.
Findings
Effective actions match at one-loop for extremal black holes
Insights into gauge/gravity duality near black holes
Comments on higher-loop corrections and Matrix theory
Abstract
We consider a brane moving close to a large number of coincident branes. We compare the calculation of the effective action using the gauge theory living on the brane and the calculation using the supergravity approximation. We discuss some general features about the correspondence between large N gauge theories and black holes. Then we do a one loop calculation which applies for extremal and near extremal black holes. We comment on the expected results for higher loop calculations. We make some comments on the Matrix theory interpretation of these results.
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