New supersymmetric vacua on solvmanifolds. (English) Zbl 1388.83718
Summary: We obtain new supersymmetric flux vacua of type II supergravities on fourdimensional Minkowski times six-dimensional solvmanifolds. The orientifold \(O_{4}\), \(O_{5}\), \(O_{6}\), \(O_{7}\), or \(O_{8}\)-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 Kähler.
MSC:
| 83E50 | Supergravity |
Keywords:
flux compactifications; superstring vacua; differential and algebraic geometry; supergravity modelsReferences:
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