Anisotropic Hyperbolic Inflation

TL;DR

This paper extends hyperbolic inflation models by incorporating gauge fields, identifying four attractor solutions, analyzing their stability, and exploring transitions, revealing widespread destabilization of standard slow-roll inflation in multi-field scenarios.

Contribution

It introduces a new class of anisotropic hyperbolic inflation models with gauge fields and analyzes their stability and transition behaviors.

Findings

Four attractor solutions identified: slow-roll, hyperbolic, anisotropic slow roll, anisotropic hyperbolic.

Stability analysis performed using dynamical systems method.

Destabilization of standard slow-roll inflation is common in multi-scalar-gauge field models.

Abstract

Hyperbolic inflation is an extension of the slow-roll inflation in multi-field models. We extend hyperbolic inflation by adding a gauge field and find four-type attractor solutions: slow-roll inflation, hyperbolic inflation, anisotropic slow roll inflation, and anisotropic hyperbolic inflation. We perform the stability analysis with the dynamical system method. We also study the transition behaviors of solutions between anisotropic slow roll inflation and anisotropic hyperbolic inflation. Our result indicates that destabilization of the standard slow-roll inflation ubiquitously occurs in multi-scalar-gauge field inflationary scenarios.