Generalised conditions for rapid-turn inflation

TL;DR

This paper derives generalized conditions for sustained rapid-turn inflation in two-field models, providing a practical tool to identify such trajectories without solving complex equations, and introduces a Python package for this purpose.

Contribution

It extends the understanding of rapid-turn inflation by formulating generalized conditions applicable to arbitrary field-space metrics and potentials, and offers a computational tool for trajectory identification.

Findings

Derived generalized consistency conditions for rapid-turn inflation.

Provided a Python package for numerical exploration of inflationary trajectories.

Identified conditions that allow for rapid-turn trajectories with arbitrary parameters.

Abstract

Rapid-turn slow-roll inflationary trajectories have been shown to be an attractor in two-field models, provided the turn rate is near constant and larger than the slow-roll parameters. These trajectories can produce primordial spectra consistent with current observations on CMB scales. We present the generalized consistency condition for sustained rapid-turn inflationary trajectory with two fields, arbitrary field-space metric and potential valid for any value of the turn rate. This has to be supplemented by a second condition to ensure slow roll evolution. Both conditions together constitute a tool to identify inflationary trajectories with arbitrary values of the turning rate without having to solve the equations of motion. We present a Python package for the numerical identification of regions in field-space and parameter space that allow for rapid-turn trajectories.