Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$

Abstract

We construct supersymmetric domain wall solutions of type IIB supergravity that interpolate between $Ad{S}_5\times T^{1,1}$ in the UV and $Ad{S}_3\times {\mathbb{R}}^2\times S^2\times S^3$ solutions in the IR. The ${\mathbb{R}}^2$ factor can be replaced with a two-torus and then the solution describes a supersymmetric flow across dimensions, similar to wrapped brane solutions. While the domain wall solutions preserve $(0,2)$ supersymmetry, the $Ad{S}_3$ solutions in the IR have an enhanced $(4,2)$ superconformal supersymmetry and are related by two T-dualities to the $Ad{S}_3\times S^3\times S^3\times S^1$ type IIB solutions which preserve a large $(4,4)$ superconformal supersymmetry. The domain wall solutions exist within the $N=4$ $D=5$ gauged supergravity theory that is obtained from a consistent Kaluza-Klein truncation of type IIB supergravity on $T^{1,1}$; a feature driving the flows is that two $D=5$ axion like fields, residing in the $N=4$ Betti multiplet, depend linearly on the two legs of the ${\mathbb{R}}^2$ factor.

35 pages, 1 figure. References added, minor changes

References in corpus (12)

• On String Theory Duals of Lifshitz-like Fixed Points
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Lifshitz Solutions of D=10 and D=11 supergravity
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• Sasaki-Einstein Metrics on S^2 x S^3
• A supersymmetric consistent truncation for conifold solutions
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• Branes, Calibrations and Supergravity
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds

Cited by in corpus (3)

• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds