# Observational Constraints on Two-field Warm Inflation

## TL;DR

This paper investigates two-field warm inflation models with specific potentials and temperature-dependent dissipation, deriving perturbation evolution without slow-roll assumptions, and constrains model parameters using Planck data.

## Contribution

It extends single-field warm inflation to a two-field scenario, deriving perturbation equations numerically and comparing predictions with observational data.

## Key findings

- Derived evolution equations for perturbations without slow-roll approximation.
- Computed the curvature power spectrum and spectral index numerically.
- Constrained model parameters using Planck observational data.

## Abstract

We study the two-field warm inflation models with a double quadratic potential and a linear temperature dependent dissipative coefficient. We derived the evolution equation of all kinds of perturbations without assuming slow-roll approximation, and obtained the curvature power spectrum at the end of inflation with a fully numerical method. Then we compute the scalar spectral index $n_s$, tensor-to-scalar ratio $r$ for several representative potentials, and compare our results with observational data. At last, we use Planck data to constrain the parameters in our models. This work is a natural extension of single-field warm inflation, and the aim of this work is to present some features of multi-field warm inflation using a simple two-field model.