Fractional D1-Branes at Finite Temperature

Details Fractional D1-Branes at Finite Temperature Fractional D1-Branes at Finite Temperature

2001-04-09

arxiv.org/abs/hep-th/0104069v2

Nucl.Phys. B610 (2001) 97-116

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, v2: minor changes

Scientific paper

10.1016/S0550-3213(01)00320-0

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.

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