Speaker
Hirotaka Hayashi
(The University of Tokyo)
Description
Recently, supersymmetric compactifications of F-theory have been considerably studied for the construction of realistic GUT models in string theory. In supersymmetric compactifications for realistic models, dimension-4 proton decay operators have to be brought under control. So-called factorized spectral surface scenario, which uses an U(1) symmetry to forbid dimension-4 proton decay operators, has been considered as one of solutions to the dimension-4 proton decay problems in F-theory. However, the factorized spectral surface scenario is not without a theoretical concern. In this talk, I will discuss whether the U(1) symmetry in such a scenario is maintained or not in global F-theory compactifications and show that it is generally broken and dimension-4 proton decay operators are likely to be generated in a simple factorized spectral surface scenario. I will also present a list of chances to save the scenario.
Summary
We revisit the dimension-4 proton decay problems in F-theory. We study the U(1) symmetry which forbids dimension-4 proton decay operators in the factorized spectral surface scenario and show that it is generally broken and dimension-4 proton decay operators are likely to be generated in such a scenario. A list of loopholes is also presented.
Primary author
Hirotaka Hayashi
(The University of Tokyo)
Co-authors
Prof.
Taizan Watari
(IPMU)
Prof.
Teruhiko Kawano
(The University of Tokyo)
Mr
Yoichi Tsuchiya
(The University of Tokyo)
