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arxiv: 1507.00014 · v2 · pith:4GVQXEFBnew · submitted 2015-06-30 · ✦ hep-th · math-ph· math.DG· math.MP

New supersymmetric vacua on solvmanifolds

classification ✦ hep-th math-phmath.DGmath.MP
keywords solvmanifoldsvacuasupersymmetricadditionahlercalabi-yaucorrespondingd-branes
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We obtain new supersymmetric flux vacua of type II supergravities on four-dimensional Minkowski times six-dimensional solvmanifolds. The orientifold O4, O5, O6, O7, or O8-planes and D-branes are localized. All vacua are in addition not T-dual to a vacuum on the torus. The corresponding solvmanifolds are proven to be Calabi-Yau, with explicit metrics. Other Ricci flat solvmanifolds are shown to be only K\"ahler.

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