TY - JOUR

T1 - Non-extremal gravity duals for fractional D3-branes on the conifold

AU - Buchel, Alexander

AU - Klebanov, Igor R.

AU - Herzog, Christopher P.

AU - Zayas, Leopoldo Pando

AU - Tseytlin, Arkady A.

PY - 2001

Y1 - 2001

N2 - The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal N = 1 supersymmetric SU (N + M) × 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.

AB - The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal N = 1 supersymmetric SU (N + M) × 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.

KW - Ads-cft correspondance

KW - Black holes in string theory

KW - D-branes

KW - Duality in gauge field theories

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U2 - 10.1088/1126-6708/2001/04/033

DO - 10.1088/1126-6708/2001/04/033

M3 - Article

AN - SCOPUS:33744751882

SN - 1126-6708

VL - 5

SP - XXXXIII-18

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 4

ER -