Compactifications of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi></mml:math>theory and their phenomenological consequences

Abstract

We compactify the $M$ theory proposed by Horava and Witten on a Calabi-Yau manifold with a boundary ${S}_{1}{/Z}_{2}$. A no-scale-like K\"ahler potential, the superpotential, and the gauge kinetic function are obtained in this four-dimensional ${\mathrm{E}}_{6}\ifmmode\times\else\texttimes\fi{}{\mathrm{E}}_{8}$ model. We also study the general phenomenological consequences of the resulting $M$-theory-inspired model, which may include very light gravitinos, axions, and axinos.