Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-16
Physics
High Energy Physics
High Energy Physics - Theory
9 pages. Invited talk presented at the String Phenomenology 2003 Workshop, IPPP, Durham UK, 29 July - 4 August 2003
Scientific paper
This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X / tau_{X} with first homotopy group pi_{1}(Z) = Z_{2}. Here X is an elliptically fibered Calabi-Yau 3-fold which admits two global sections and \tau_{X} is a freely acting involution on X. The vacua in this class have net number of three generations of chiral fermions in the observable sector and may contain M5-branes in the bulk space which wrap holomorphic curves in Z. Vacua with nonvanishing and vanishing instanton charges in the observable sector are considered. The latter case corresponds to potentially viable matter Yukawa couplings. Since pi_{1}(Z) = Z_{2}, the grand unification group can be broken with Z_{2} Wilson lines. The motivation is to use the above formalism to extend realistic free-fermionic models to the nonperturbative regime. The correspondence between these models and Z_{2} x Z_{2} orbifold compactification of the weakly coupled 10-dimensional heterotic string identifies associated Calabi-Yau 3-folds which possess the structure of the above Z and X. A nonperturbative extension of the top quark Yukawa coupling is discussed.
No associations
LandOfFree
SO(10) heterotic M-theory vacua does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with SO(10) heterotic M-theory vacua, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SO(10) heterotic M-theory vacua will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-84460