SUSY properties of warped AdS${}_3$

Abstract

We examine supersymmetric properties of null-warped AdS${}_3$, or alternatively Schrodinger geometries, dual to putative warped CFTs in two dimensions. We classify super Schrodinger subalgebras of the superalgebra psu(1, 1$|$2) $\oplus$ psu(1, 1$|$2), corresponding to the superconformal algebra of the AdS${}_3\times$ S${}^3$ geometry. We comment on geometric realisations and provide a string theory description with enhanced supersymmetry in terms of intersecting D3-branes. For type IIB supergravity solutions based on T${}^{1,1}$, we consider the relationship between five-dimensional Schrodinger solutions and their three-dimensional null-warped counterparts, corresponding to R symmetry twists. Finally, we study a family of null-warped AdS${}_3$ solutions in a setting where there is an ambiguity over the R symmetry and confirm that, for examples admitting a Kaluza-Klein (KK) reduction to three dimensions, the minimisation of a real superpotential of the three-dimensional gauged supergravity captures the central charge and R symmetry.

44 pages, v2 reference added, typos corrected, acknowledgements added

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• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• Warped Black Holes in Lower-Spin Gravity
• N=(0,4) Black String Chains
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Null warped AdS in higher spin gravity