Transport coefficients of D1-D5-P system and the membrane paradigm

TL;DR

This paper calculates transport coefficients for the D1-D5-P system using string theory and shows they match the membrane paradigm predictions for a five-dimensional black hole, confirming a deep correspondence.

Contribution

It provides an explicit calculation of transport coefficients in the D1-D5-P system and demonstrates their exact agreement with membrane paradigm results, strengthening the string-black hole connection.

Findings

Transport coefficients match membrane paradigm predictions

Explicit calculation using the Kubo formula

Supports the string theory and black hole correspondence

Abstract

I discuss a correspondence between string theory and the black hole membrane paradigm in the context of the D1-D5-P system. By using the Kubo formula, I calculate transport coefficients of the effective string model induced by two kinds of minimal scalars. Then, I show that these transport coefficients exactly agree with the corresponding membrane transport coefficients of a five-dimensional near-extremal black hole with three charges.