Phenomenology Remarks in M-theory on $S^1/Z_2$

Abstract

In the simplest compactification, we discuss the intermediate unification in M-theory on $S^1/Z_2$, and point out that we can push the eleven dimension Planck scale to the TeV range if the gauge coupling in the hidden sector is super weak, and the particles in the hidden sector might become candidates of dark matter. We also discuss the soft terms in non-standard embedding. To the next leading order, we compactify the perfect square and calculate the gravitino mass. Furthermore, we give the general K\"ahler potential, gauge kinetic function and superpotential if the next order correction is very large, i. e., ${{\alpha T}\over S}$ is close to 1.