(Slow-)Twisting inflationary attractors

Understand

We explore in detail the dynamics of multi-field inflationary models.

• We first revisit the two-field case and rederive the coordinate independent expression for the attractor solution with either small or large turn rate, emphasizing the role of isometries for the existence of rapid-turn solutions.
• Then, for three fields in the slow-twist regime we provide elegant expressions for the attractor solution for generic field-space geometries and potentials and study the behaviour of first order perturbations.
• For generic $\mathcal{N}$-field models, our method quickly grows in algebraic complexity.