Constraint on the Higgs-Dilaton potential via warm inflation in two-time physics (Q2099773)

Summary: Within the \(SP(2,R)\) 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 \(\sim \phi^4\). 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.