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

Abstract

Within the $SP\left(2,R\right)$ 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 $~{\varphi }^4$ . From that consideration, we derive the range of parameters for the Higgs-Dilaton potential, the coupling constant between Higgs and Dilaton ( $\alpha$ ) is larger than 0.0053 and the mass of Dilaton is smaller than $10^{-7}$  GeV. Therefore, the 2T model indirectly suggests that extra dimension can also be a source of inflation.