On aspherical symplectic fillings with finite capacities of the prequantization bundles

A prequantization bundle is a negative circle bundle over a symplectic surface together with a contact form induced by a S1-invariant connection. Given a symplectically aspherical symplectic filling of a prequantization bundle satisfying certain topological conditions, suppose that a version of symplectic capacity of the symplectic filling is finite. Then, we show that the symplectic filling is diffeomorphic to the associated disk bundle.