Cosmic inflation refers to the exponential expansion period at the very beginning of the Universe. This period can naturally explain the observed homogeneity of perturbations and the flatness of geometry implied mainly from the cosmic microwave background radiation. Although the nature of the so-called "inflaton field" that drove inflation remains unknown and the predicted associated gravitational waves has not yet been observed, inflation still proves to be a physically reasonable paradigm.
Predictions of inflation depend not only on the inflaton model, but also on the assumption of the cosmological background. It turns out that the existence of (spatial or temporal) extra dimension(s) could affect the predictions of a given inflationary model by modifying the effective Hubble rate in our spacetime.
I'm interested in exploring various inflationary models and their observational consequences in the context of standard 4D spacetime or extra dimension.
Ngo Phuc Duc Loc, "Shaft inflation in Randall-Sundrum model", JCAP 02 (2023) 020
Vo Quoc Phong, Ngo Phuc Duc Loc, "Constraint on the Higgs-Dilaton potential via Warm inflation in Two-Time Physics", Adv. High Energy Phys. 2022 (2022) 5313952
Ngo Phuc Duc Loc , "Inflation with a class of concave inflaton potentials in Randall-Sundrum model", Eur. Phys. J. C 80 (2020) 768