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Remarks on the warped deformed conifold

Christopher P. Herzog, Igor R. Klebanov, Peter Ouyang

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Abstract

We assemble a few remarks on the supergravity solution of hep-th/0007191, whose UV asymptotic form was previously found in hep-th/0002159. First, by normalizing the R-R fluxes, we compare the logarithmic flow of couplings in supergravity with that in field theory, and find exact agreement. We also write the 3-form field strength $G_3 = F_3 - \\tau H_3$ present in the solution in a manifestly SO(4) invariant $(2,1)$ form. In addition, we discuss various issues related to the chiral symmetry breaking and wrapped branes.

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What this paper is about

We assemble a few remarks on the supergravity solution of hep-th/0007191, whose UV asymptotic form was previously found in hep-th/0002159. First, by normalizing the R-R fluxes, we compare the logarithmic flow of couplings in supergravity with that in field theory, and find exact agreement. We also write the 3-form field strength $G_3 = F_3 - \\tau H_3$ present in the solution in a manifestly SO(4) invariant $(2,1)$ form. In addition, we discuss various issues related to the chiral symmetry breaking and wrapped branes.

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Available abstract

We assemble a few remarks on the supergravity solution of hep-th/0007191, whose UV asymptotic form was previously found in hep-th/0002159. First, by normalizing the R-R fluxes, we compare the logarithmic flow of couplings in supergravity with that in field theory, and find exact agreement. We also write the 3-form field strength $G_3 = F_3 - \\tau H_3$ present in the solution in a manifestly SO(4) invariant $(2,1)$ form. In addition, we discuss various issues related to the chiral symmetry breaking and wrapped branes.

Key concepts: Supergravity, Conifold, Physics, Logarithm, Invariant (physics), Mathematical physics, Field (mathematics), Symmetry (geometry)

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