Constraint on the Higgs-Dilaton Potential via Warm Inflation in Two-Time Physics

Abstract

Within the S P 2 , R symmetry, the two-time model (2T model) has six dimensions with two dimensions of time and the dilaton field that can be identified as inflaton in a warm inflation scenario with potential of the form ~ ϕ 4 . From that consideration, we derive the range of parameters for the Higgs-Dilaton potential, the coupling constant between Higgs and Dilaton ( α ) is larger than 0.0053 and the mass of Dilaton is smaller than 1 0 − 7 GeV. Therefore, the 2T model indirectly suggests that extra dimension can also be a source of inflation.

Shaft inflation in Randall-Sundrum model

“…In this model, there are 4 flat, non-compact spatial dimensions and 2 temporal dimensions. Interested readers can confer ref [6]. for an inflationary scenario in this model.…”