Cosmological Implications of the Supergravity Track - ing Potential

It is demonstrated that any realistic model of quintessence should be based on Supergravity since, when the scalar field is on tracks today, Q ≈ m Pl. This improves the agreement between theoretical predictions and the current observations. In particular, a generic property is that ratio ωQ ≡ pQ/ρQ is pushed towards −1. A string-inspired model is proposed where the potential is given by V (Q) = Λ 4+α Q α e κ 2 Q 2. The model predicts ωQ ≈ −0.82, a value less that one sigma from the current likehood value.