Add to ORKGBy a special symplectic connection we mean a torsion free connection which is either the Levi-Civita connection of a Bochner-Kähler metric of arbitrary signature, a Bochner-bi-Lagrangian connection, a connection of Ricci type or a connection with special symplectic holonomy. A symplectic manifold or orbifold with such a connection is called special symplectic. We show that any special symplectic connection can be constructed using symplectic real-izations of quadratic deformations of a certain linear Poisson structures. Moreover, we show that these Poisson structures cannot be symplectically integrated by a Hausdorff groupoid. As a consequence, we obtain a canonical principal line bundle over any special symplectic manifold or orbifold, an...
