On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure

Abstract

We show that supersymmetric flux vacua with intermediate SU(2) structure is closely related to some special classes of half-flat structures. More concretely, solutions of the SUSY equations IIA possess a symplectic half-flat structure, whereas solutions of the SUSY equations IIB admit a half-flat structure which is in certain sense near to the balanced condition. Using this result we show that compact simply connected manifolds do not admit type IIB solutions. New solutions of the SUSY equations IIA and IIB are constructed from hyperkähler 4-manifolds, special hypo 5-manifolds and 6-dimensional solvmanifolds.

arXiv comment21 pages; to be published in Classical Quantum Gravity

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Cited by in corpus (4)

• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
• New supersymmetric vacua on solvmanifolds
• Homogeneous symplectic half-flat 6-manifolds
• On the automorphism group of a symplectic half-flat 6-manifold