# Constant roll warm inflation in high dissipative regime

## TL;DR

This paper introduces a constant-roll warm inflation model with high dissipation, providing exact solutions, analyzing primordial inhomogeneities, and demonstrating consistency with observational data within certain parameter ranges.

## Contribution

It presents a novel exact solution approach for warm inflation with constant dissipation and explores primordial perturbations beyond slow-roll, extending previous cold inflation methods.

## Key findings

- Model shows 1σ consistency with observational constraints for specific Q and β values.
- Exact solutions for the coupled equations in warm inflation are derived.
- Possible enhancement of super-horizon perturbations beyond slow-roll is discussed.

## Abstract

Constant-roll warm inflation is introduced in this work. A novel approach to finding an exact solution for Friedman equations coupled to scalar field equation of motion is presented for cold inflation and is extended to warm inflation with the constant dissipative parameter $Q=\frac{\Gamma}{3H}$. The evolution of the primordial inhomogeneities of a scalar field in a thermal bath is also studied. The $1\sigma$ consistency between the theoretical predictions of the model and observational constraints has been proven for a range of $Q$ and $\beta=\frac{\ddot{\phi}}{3H\phi}$ (constant rate of inflaton roll). In addition, we briefly investigate the possible enhancement of super-horizon perturbations beyond the slow-roll approximation.