All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity

Abstract

D3-branes wrapping constant curvature Riemann surfaces give rise to 2D N = (0,2) SCFTs, where the superconformal fixed-points are mapped to vacua of 3D N =2 U(1)^3 gauged supergravity. In this work we determine the fermionic supersymmetry variations of the theory and present all supersymmetric solutions. For spacetimes with a timelike Killing vector, we identify new timelike warped AdS_3 (Gödel) and timelike warped dS_3 critical points. We outline the construction of numerical solutions interpolating between fixed-points, demonstrate that these flows are driven by an irrelevant scalar operator in the SCFT and identify the inverse of the superpotential as a candidate c-function. We further classify all spacetimes with a null Killing vector, in the process producing loci in parameter space where null-warped AdS_3 vacua with Schrodinger z=2 symmetry exist. We construct non-supersymmetric spacelike warped AdS_3 geometries based on D3-branes.

28 pages, 6 figures; v2 32 pages, 6 figures, references added, abstract shortened, appendix on spacelike warped AdS3 added; v3 32 pages, typos corrected, slight rewordings, references added, agrees with published version

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Cited by in corpus (3)

• 3D supergravity from wrapped M5-branes
• On the supersymmetric solutions of the Heterotic Superstring effective action
• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models