Nonperturbative flipped SU(5) vacua in heterotic M-theory

Abstract

The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) representation. Such an embedding is afforded by the realistic free fermionic heterotic-string models. In this paper we advance the study of these string models toward a non-perturbative analysis by generalizing the work of Donagi, Pantev, Ovrut and Waldram from the case of G = SU (2n + 1) to G = SU (2n) stable holomorphic vector bundles on elliptically fibered Calabi-Yau manifolds with fundamental group Z 2 . We demonstrate existence of G = SU (4) solutions with three generations and SO(10) observable gauge group over Hirzebruch base surface, whereas we show that certain classes of del Pezzo base surface do not admit such solutions. The SO(10) symmetry is broken to SU (5) × U (1) by Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed. * faraggi@thphys.ox.ac.uk

Yukawa couplings in SO(10) heterotic M-theory vacua

“…It is interesting to note that the requirement of vanishing instanton charges on the observable orbifold plane rules out the n = 4 Hirzebruch solutions presented in [7].…”

“…Instead of restricting ourselves to a set of sufficient (but not necessary) constraints on the vector bundles (as was done in [5,6,7,8]), we consider the most general case. Indeed, the vacua obtained in Section 5 require this generalization.…”

So(10) Heterotic M-Theory Vacua

“…4 N gen = 3, H = SO(10) vacua N gen = 3, H = SO(10) heterotic M-theory vacua with nonvanishing and vanishing instanton charges in the observable sector are searched for in [13] and [14], respectively. In the former work, the search is restricted to vector bundles satisfying the Class A or Class B constraints: where m ∈ Z.…”

“…The new results presented in this talk have been published by Faraggi, Garavuso and Isidro [13] and Faraggi and Garavuso [14]. Section 2 reviews realistic free-fermionic models and their Z 2 × Z 2 correspondence, explains the connection [13] with the Calabi-Yau 3-folds Z and X, and offers a proposal to obtain a nonperturbative extension [14] of the top quark Yukawa coupling calculation flipped SU (5) [15].…”

“…Section 2 reviews realistic free-fermionic models and their Z 2 × Z 2 correspondence, explains the connection [13] with the Calabi-Yau 3-folds Z and X, and offers a proposal to obtain a nonperturbative extension [14] of the top quark Yukawa coupling calculation flipped SU (5) [15]. We will see that, although the precise geometrical realization of the full N gen = 3 models is unknown, this coupling can be computed as a 27 3 E 6 or 16 · 16 · 10 SO(10) coupling with N gen = 24.…”