Restoration of chiral symmetry: a supergravity perspective

The supergravity dual of N regular and M fractional D3-branes on the conifo ld has a naked singularity in the infrared. Supersymmetric resolution of th is singularity requires deforming the conifold: this is the supergravity du al of chiral symmetry breaking. Buchel suggested that at sufficiently high temperature there is no need to deform the conifold: the singularity may be cloaked by a horizon. This would be the supergravity manifestation of chir al symmetry restoration. In previous work [hep-th/0102105] the ansatz and t he system of second-order radial differential equations necessary to find s uch a solution were written down. In this paper we find smooth solutions to this system in a perturbation theory that is valid when the Hawking temper ature of the horizon is very high.