Missing Mirrors: Type IIA Supergravity on the Resolved Conifold

Abstract

We consider massive IIA supergravity on the resolved conifold with $SU(2{)}_L^2\times U(1{)}_R$ symmetry and $\mathbb{N}=1$ supersymmetry. A one dimensional family of such regular solutions was found by Brandhuber and we propose this to be the mirror to one dimension of the moduli space of IIB solutions on the deformed conifold found by Butti et al. This family provides a description of the geometric transition in terms of a smooth family of flux backgrounds. The remaining dimension of the moduli space of Butti et al contains the baryonic branch of Klebanov-Strassler and we propose that the mirror of this is either some stringy resolution of a family of singular solutions found here or must be entirely non-geometric.

27 pages, 2 figures.

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Cited by in corpus (8)

• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• The warped, resolved, deformed conifold gets flavoured
• Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler
• Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
• A composite light scalar, electro-weak symmetry breaking and the recent LHC searches
• Toward the Gravity Dual of Heterotic Small Instantons
• On the Scalar Spectrum of the Y^{p,q} Manifolds
• The Structure of the Non-SUSY Baryonic Branch of Klebanov-Strassler