We classify N = 2 Minkowski4solutions of IIB supergravity with an SU(2)Rsymmetry geometrically realized by an S2-foliation in the remaining six dimensions. For the various cases of the classification, we reduce the supersymmetric system of equations to PDEs. These cases often accommodate systems of intersecting branes and half-maximally supersymmetric AdS5, 6, 7solutions when they exist. As an example, we analyze the AdS6case in more detail, reducing the supersymmetry equations to a single cylindrical Laplace equation. We also recover an already known linear dilaton background dual to the (1, 1) Little String Theory (LST) living on NS5-branes, and we find a new Minkowski5linear dilaton solution from brane intersections. Finally, we also discuss some simple Minkowski4solutions based on compact conformal Calabi-Yau manifolds
Apruzzi, F., Geipel, J., Legramandi, A., Macpherson, N., Zagermann, M. (2018). Minkowski4×S2 Solutions of IIB Supergravity. FORTSCHRITTE DER PHYSIK, 66(3) [10.1002/prop.201800006].
Minkowski4×S2 Solutions of IIB Supergravity
LEGRAMANDI, ANDREA;Macpherson, NT.;
2018
Abstract
We classify N = 2 Minkowski4solutions of IIB supergravity with an SU(2)Rsymmetry geometrically realized by an S2-foliation in the remaining six dimensions. For the various cases of the classification, we reduce the supersymmetric system of equations to PDEs. These cases often accommodate systems of intersecting branes and half-maximally supersymmetric AdS5, 6, 7solutions when they exist. As an example, we analyze the AdS6case in more detail, reducing the supersymmetry equations to a single cylindrical Laplace equation. We also recover an already known linear dilaton background dual to the (1, 1) Little String Theory (LST) living on NS5-branes, and we find a new Minkowski5linear dilaton solution from brane intersections. Finally, we also discuss some simple Minkowski4solutions based on compact conformal Calabi-Yau manifolds
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