Free Energies and Probe Actions for Near-horizon D-branes and D1 + D5 System

TL;DR

This paper explores the free energy of near-horizon D-brane solutions, revealing relations to probe actions and transitions among different theoretical frameworks, including supergravity, super Yang-Mills, and M theory.

Contribution

It derives a novel relation between free energy and probe actions for Dp-branes and D1+D5 systems, connecting supergravity solutions with string theory probes.

Findings

Established a relation between free energy and probe actions for Dp-branes.

Linked the free energy of five-dimensional black holes to D1 and D5 brane probes.

Explained relations through massive open strings between D-branes.

Abstract

By working with the free energy for the type II supergravity near-horizon solution of N coincident non-extremal Dp-branes we study the transitions among the non-conformal Dp-brane system, the perturbative super Yang-Mills theory and a certain system associated with M theory. We derive a relation between this free energy and the action of a Dp-brane probe in the N Dp-brane background. Constructing the free energy for the five dimensional black hole labeled by the D1-brane and D5-brane charges we find the similar relation between it and the action of a D1 or D5 brane probe in the D1 + D5 brane background. These relations are explained by the massive open strings stretched between the relevant D-branes