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

Anna Fino (1) , Luis Ugarte (2)

1 Dipartimento di Matematica
2 Departamento de Matemáticas

We show that supersymmetric flux vacua with constant intermediate SU(2) structure are 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.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Anna Fino, Luis Ugarte. On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure. Classical and Quantum Gravity, 2011, 28 (7), pp.75004. ⟨10.1088/0264-9381/28/7/075004⟩. ⟨hal-00686090⟩