Hidden symmetries of two-field cosmological models

Lilia Anguelova, Elena Mirela Babalic, Calin Iuliu Lazaroiu
2019 Journal of High Energy Physics  
We determine the most general time-independent Noether symmetries of twofield cosmological models with rotationally-invariant scalar manifold metrics. In particular, we show that such models can have hidden symmetries, which arise if and only if the scalar manifold metric has Gaussian curvature −3/8, i.e. when the model is of elementary αattractor type with a fixed value of the parameter α. In this case, we find explicitly all scalar potentials compatible with hidden Noether symmetries, thus
more » ... ssifying all models of this type. We also discuss some implications of the corresponding conserved quantity.
doi:10.1007/jhep09(2019)007 fatcat:mknzxrifyfab5kmxxejtuinb3q