Role of the Dilatonic potential to the Quantum stabilization of dilatonic Anti-de Sitter Universe

Quantum effects lead to the annihilation of AdS Universe when dilaton is absent. We consider here the role of the form for the dilatonic potential in the quantum creation of a dilatonic AdS Universe and its stabilization. Using the conformal anomaly for dilaton coupled scalar, the anomaly induced action and the equations of motion are obtained. Using numerical methods the solutions of the full theory which correspond to quantum-corrected AdS Universe are given for a particular case of dilatonic potential.