Gravity duals of supersymmetric gauge theories

186

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 nonextremal 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. 02/01

“…Our ansatz for the p-form fields is dictated by symmetries and thus is exactly the same as in the extremal KT case [1]: 2…”

Section: Non-extremal Generalization Of the Kt Ansatzmentioning

confidence: 99%

Section: Non-extremal Generalization Of the Kt Ansatzmentioning

confidence: 99%

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

Buchel

Klebanov

Herzog

et al. 2001

186

“…Their BPS equations are obtained from the generic case taking the limit u Λ , v (Λ) → 0 and g → 0, respectively. 13 In the latter case, the kinetic term of the scalars is simple given by u Λ .…”

Section: Analyzing the Deformationmentioning

confidence: 99%

Null deformed domain wall

Celi

2007

We study null 1/4 BPS deformations of flat Domain Wall solutions (NDDW) in N = 2, d = 5 gauged supergravity with hypermultiplets and vector multiplets coupled. These are uncharged timedependent configurations and contain as special case, 1/2 supersymmetric flat domain walls (DW) and, as well, 1/2 BPS null solutions of the ungauged supergravity. Combining our analysis with the classification method initiated by Gauntlett et al., we prove that all the possible deformations of the DW have origin in the hypermultiplet sector or/and are null. Here, we classify all the null deformations: we show that they naturally organize in "gauging" (v-deformation) and "non gauging" (u-deformation). They have different properties: only in presence of v-deformation the solution is supported by a timedependent scalar potential. Furthermore we show that u-deformation forces the number of multiplets coupled to be different by one. We discuss the general procedure for constructing explicit solutions, stressing the crucial role taken by the integrability conditions of the scalars as spacetime functions. Two analytical solutions are presented. Finally, we comment on the holographic applications of NDDW, in relation with the recently proposed timedependent AdS/CFT.

“…This is realized by the introduction of fractional D3-branes on the gravity side. The coupling running [6,7] and the duality cascade [8] caused by the introduction of the fractional branes are studied by using dual gravity solutions.…”

Section: Introductionmentioning

confidence: 99%

Global symmetries and 't Hooft anomalies in brane tilings

Imamura¹

2006

We investigate the relation between gauge theories and brane configurations described by brane tilings. We identify U (1) B (baryonic), U (1) M (mesonic), and U (1) R global symmetries in gauge theories with gauge symmetries in the brane configurations. We also show that U (1) M U (1) 2 B and U (1) R U (1) 2 B 't Hooft anomalies are reproduced as gauge transformations of the classical brane action. *