Constant-roll warm inflation and the β -function approach

We propose a new approach to constant-roll warm inflation as generalization of inflation. Based on the $\beta$-function formalism, it is shown that models with natural end fall into universality classes defined by three different types $\beta$-functions, under assumption radiation energy density quasi-stable. Given completely specified and dissipation coefficient ratio, we investigate whether or not can physically be realized for enough number e-foldings at background level some combinations $\beta$-functions non-trivial ratios.