Constant-roll warm inflation and the \(\beta\)-function approach

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