Abstract
We construct supersymmetric domain wall solutions of type IIB supergravity that interpolate between AdS5 × T 1,1 in the UV and AdS3 × \( \mathbb{R} \) 2 × S 2 × 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 AdS3 solutions in the IR have an enhanced (4, 2) superconformal supersymmetry and are related by two T-dualities to the AdS3 × S 3 × S 3 × S 1 type IIB solutions which preserve a large (4, 4) superconformal super-symmetry. 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.
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Donos, A., Gauntlett, J.P. Flowing from AdS5 to AdS3 with T 1,1 . J. High Energ. Phys. 2014, 6 (2014). https://doi.org/10.1007/JHEP08(2014)006
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DOI: https://doi.org/10.1007/JHEP08(2014)006