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Within the $SP(2,R)$ symmetry, the Two-time model (2T model) has sixdimensions with two dimensions of time and the dilaton field that can beidentified as inflaton in a warm inflation scenario with potential of the form$\sim\phi^4$. From that consideration, we derive the range of parameters forthe 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-dimensioncan also be a source of inflation.

Constraint on the Higgs-Dilaton potential via Warm inflation in Two-Time Physics