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Supersymmetric Three-Form Flux Perturbations on $AdS_5$

Mariana Graña·Joseph Polchinski
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Abstract

We consider warped type IIB supergravity solutions with three-form flux and ${\cal N}=1$ supersymmetry, which arise as the supergravity duals of confining gauge theories. We first work in a perturbation expansion around $AdS_5 \times S^5$, as in the work of Polchinski and Strassler, and from the ${\cal N}=1$ conditions and the Bianchi identities recover their first-order solution generalized to an arbitrary ${\cal N}=1$ superpotential. We find the second order dilaton and axion by the same means. We also find a simple family of exact solutions, which can be obtained from solutions found by Becker and Becker, and which includes the recent Klebanov--Strassler solution.

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Mariana Graña, Joseph Polchinski. 2007-06-18. Supersymmetric Three-Form Flux Perturbations on $AdS_5$. https://doi.org/10.1103/physrevd.63.026001

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