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Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

A. Buchel·C. P. Herzog·I. R. Klebanov·L. Pando Zayas·A. A. Tseytlin
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Abstract

The world volume theory on $N$ regular and $M$ fractional D3-branes at the conifold singularity is a non-conformal ${\cal N}=1$ supersymmetric $SU(N+M)\times SU(N)$ gauge theory. In previous work the extremal Type IIB supergravity dual of this theory at zero temperature was constructed. Regularity of the solution requires a deformation of the conifold: this is a reflection of the chiral symmetry breaking. To study the non-zero temperature generalizations non-extremal solutions have to be considered, and in the high temperature phase the chiral symmetry is expected to be restored. Such a solution is expected to have a regular Schwarzschild horizon. We construct an ansatz necessary to study such non-extremal solutions and show that the simplest possible solution has a singular horizon. We derive the system of second order equations in the radial variable whose solutions may have regular horizons.

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A. Buchel, C. P. Herzog, I. R. Klebanov, L. Pando Zayas, A. A. Tseytlin. 2001-03-01. Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold. https://doi.org/10.1088/1126-6708%2F2001%2F04%2F033

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