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Beyond the polynomial ansatz: regular $AdS_3\times M_8$ solutions of M-theory
We study regular compact solutions of the cohomogeneity-one $AdS_3\times M_8$ system of Gauntlett, Mac Conamhna, Mateos and Waldram, where $M_8$ is an $S^2$ bundle over three constant-curvature Riemann surfaces. We find that an endpoint argument rules out every non-flat curvature-sign sector without
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