Abstract
D3-branes wrapping constant curvature Riemann surfaces give rise to 2D \( \mathcal{N}=\left(0,2\right) \) SCFTs, where the superconformal fixed-points are mapped to vacua of 3D \( \mathcal{N}=2 \) 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 AdS3 (Gödel) and timelike warped dS3 fixed-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 AdS3 vacua with Schrödinger z = 2 symmetry exist. We construct non-supersymmetric spacelike warped AdS3 geometries based on D3-branes.
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Colgáin, E.Ó. All supersymmetric solutions of 3D U(1)3 gauged supergravity.. J. High Energ. Phys. 2015, 116 (2015). https://doi.org/10.1007/JHEP11(2015)116
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DOI: https://doi.org/10.1007/JHEP11(2015)116