  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 Dialton
($\alpha$) 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.
