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

TL;DR

This paper explores phenomenological aspects of M-theory on $S^1/Z_2$, including unification, dark matter candidates, and soft supersymmetry breaking terms, with calculations of gravitino mass and effective potentials.

Contribution

It provides new insights into the phenomenology of M-theory compactifications, including the possibility of lowering the Planck scale and detailed calculations of soft terms and effective potentials.

Findings

Planck scale can be pushed to TeV range with weak hidden sector coupling

Hidden sector particles may serve as dark matter candidates

Calculated gravitino mass and effective potentials for large corrections

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.