Compactified String Theories -- Generic Predictions for Particle Physics

In recent years it has been realized that in string/$M$ theories compactified to four dimensions which satisfy cosmological constraints, it is possible to make some generic predictions for particle physics and dark matter: a non-thermal cosmological history before primordial nucleosynthesis, a scale of supersymmetry breaking which is "high" as in gravity mediation, scalar superpartners too heavy to be produced at the LHC (although gluino production is expected in many cases), and a significant fraction of dark matter in the form of axions. When the matter and gauge spectrum below the compactification scale is that of the MSSM, a robust prediction of about 125 GeV for the Higgs boson mass, predictions for various aspects of dark matter physics, as well as predictions for future precision measurements, can be made. As a prototypical example, $M$ theory compactified on a manifold of $G_2$ holonomy leads to a good candidate for our "string vacuum", with the TeV scale emerging from the Planck scale, a de Sitter vacuum, robust electroweak symmetry breaking, and solutions of the weak and strong CP problems. In this article we review how these and other results were derived, from the key theoretical ideas to the final phenomenological predictions.Comment: 30 pages, 1 figure. Invited Review for International Journal of Modern Physics

On Mirror Symmetry for Manifolds of Exceptional Holonomy

We consider Type II string theories on ${\bf T^n}/{{\bf Z_2}^m}$ Joyce orbifolds. This class contains orbifolds which can be desingularised to give manifolds of $G_2$ $({\bf n}$$=$$7)$ and $Spin(7)$ holonomy $({\bf n}$$=$$8)$. In the $G_2$ holonomy case we present two types of $T$-duality transformation which are clearly generalisations of the $T$-duality/mirror transformation in Calabi-Yau spaces. The first maps Type IIA theory on one such space from this class to Type IIB theory on another such space. The second maps Type IIA (IIB) to Type IIA (IIB). In the case of $Spin(7)$ holonomy we present a $T$-duality transformation which maps Type IIA (IIB) theory on one such space to Type IIA (IIB) on another such space. As orbifold conformal field theories these $T$-dual target spaces are related via the inclusion/exclusion of discrete torsion and the $T$-duality is proven to genus $g$ in string perturbation theory. We then apply a Strominger, Yau, Zaslow type argument which suggests that manifolds of $G_2$ holonomy which have a ``mirror'' of the first (second) type admit supersymmetric ${\bf T^3}$ (${\bf T^4}$) fibrations and that manifolds of $Spin(7)$ holonomy for which a mirror exists admit fibration by supersymmetric $4$-tori. Further evidence for this suggestion is given by examining the moduli space structure of wrapped D-branes.Comment: 20 Pages, Late

A Non-thermal WIMP Miracle

Light scalar fields with only gravitational strength couplings are typically present in UV complete theories of physics beyond the Standard Model. In the early universe it is natural for these fields to dominate the energy density, and their subsequent decay, if prior to BBN, will typically yield some dark matter particles in their decay products. In this paper we make the observation that a Non-thermal WIMP `Miracle' may result: that is, in the simplest solution to the cosmological moduli problem, non-thermally produced WIMPs can naturally account for the observed dark matter relic density. Such a solution may be generic in string theory compactifications.Comment: 6 pages, no figures, References added, minor errors correcte

Characteristics of Youth Dating Violence and Risk Factors in Mexico: An Analysis From a National Sample

Dating violence is a significant issue affecting today’s youth and can affect anyone regardless of age, gender, ethnicity, socioeconomic, racial, and religious backgrounds, and it occurs in heterosexual, gay, and lesbian relationships. This study examines and identifies the different types of dating violence, and their associated risk factors in Mexico considering the data from a national sample. In 2007, the National Institute of Statistics, Geography and Information (INEGI) conducted a nationwide survey of youth (15-24 years old), to address the problem of dating violence among these demographic group. The survey was conducted in all 32 states of Mexico, which included 4,147 males and 3,807 females. Results indicate that young females in Mexico suffered different types of dating violence from their counterpart. It also found that dating violence has a greater impact on the health status of girls. In addition, this study shows that dating violence has led many young females toward substance abuse