Fractional D1-Branes at Finite Temperature

TL;DR

This paper derives differential equations for finite-temperature supergravity solutions involving fractional D1-branes on a specific manifold, showing high-temperature solutions can cloak singularities with horizons.

Contribution

It formulates the equations needed to find finite-temperature supergravity duals for fractional D1-branes on Q^{1,1,1} and provides perturbative high-temperature solutions.

Findings

Differential equations for D1-branes at finite temperature are derived.

High-temperature solutions successfully cloak infrared singularities.

The approach extends previous D3-brane analyses to D1-branes.

Abstract

The supergravity dual of $N$ regular and $M$ fractional D1-branes on the cone over the Einstein manifold $Q^{1,1,1}$ has a naked singularity in the infrared. The supergravity dual of $N$ regular and $M$ fractional D3-branes on the conifold also has such a singularity. Buchel suggested and Gubser et al. have shown that in the D3-brane case, the naked singularity is cloaked by a horizon at a sufficiently high temperature. In this paper we derive the system of second-order differential equations necessary to find such a solution for $Q^{1,1,1}$. We also find solutions to this system in perturbation theory that is valid when the Hawking temperature of the horizon is very high.