Noether Symmetry Approach in multiple scalar fields Scenario

Understand

In this Letter, we find suitable potentials in the multiple scalar fields scenario by using the Noether symmetry approach.

• We discussed three models with multiple scalar fields: N-quintessence with positive kinetic terms, N-phantom with negative kinetic terms and N-quintom with both positive and negative kinetic terms.
• In the N-quintessence case, the exponential potential which could be derived from several theoretic models is obtained from the Noether conditions.
• In the N-phantom case, the potential $\frac{V_{0}}{2}(1-\cos(\sqrt{\frac{3N}{2}}\frac{\phi}{m_{pl}}))$, which could be derived from the Pseudo Nambu-Goldstone boson model, is chosen as the Noether conditions required.