Comments on Flipped SU(5) (and F-theory)
arXiv:1009.2510 · doi:10.1007/JHEP03(2011)020
Abstract
We study the impact of nonrenormalizable operators in flipped SU(5) that can generate a large mu term, R-parity violation, and rapid proton decay. While our motivation is to determine whether F-theory can naturally realize flipped SU(5), this analysis is general and leads to a characterization of symmetries capable of controlling such operators and should be independent of F-theory. We then discuss some specific implications for F-theory model building, where a significant mu problem is unavoidable. Finally, we mention previously noted difficulties associated to engineering GUT-Higgs fields in F-theory, suggest a direct engineering of SU(5) \times U(1)_Ï as an alternative, and present a sample construction of this type.
39 pages