# The rapid-turn inflationary attractor

## TL;DR

This paper proves the existence and stability of a broad class of rapidly turning two-field inflationary attractors, unifying several models and highlighting their compatibility with swampland conjectures.

## Contribution

It introduces a general class of rapidly turning inflationary attractors, providing a complete solution framework without specific metric or potential assumptions.

## Key findings

- Several models are special cases of this attractor class
- Solutions simplify significantly in the very rapid turn limit
- The attractors are linearly stable under perturbations

## Abstract

We prove the existence of a general class of rapidly turning two-field inflationary attractors. By only requiring a large, slowly varying turn rate, we solve the system completely without specifying any metric or potential, and prove the linear stability of the solution. Several recently studied turning inflation models, including hyperinflation, side-tracked inflation, and a flat field-space model, turn out to be examples of this general class of attractor solutions. Very rapidly turning models are of particular interest since they can be compatible with the swampland conjectures, and we show that the solutions further simplify in this limit.