Chen Lan (St.Petersburg State Univ.)
Integrable model of cosmology with scalar fields and its extension in PT symmetric model ( candidate thesis)
Integrable model of cosmology with scalar fields of two types is considered. It could be able to describe inflation and post-inflation in evolution of the Universe including period with equation of state by phantom type. The model includes a kinetic term which is mixing scalar fields and resulting in an integrable case. The exact solutions are found for both classic and quantum cases for the Friedman-Robertson-Walker metric. It is suggested an extension of the sector of scalar matter by complex potentials which are preserving PT symmetry in classic and quantum models.