F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
arXiv:1107.0497 · doi:10.1016/j.nuclphysb.2011.10.031
Abstract
The localized fermions on the intersection curve of D7-branes, are connected to a N=2 supersymmetric quantum mechanics algebra. Due to this algebra the fields obey a global U(1) symmetry. This symmetry restricts the proton decay operators and the neutrino mass terms. Particularly, we find that several proton decay operators are forbidden and the Majorana mass term is the only one allowed in the theory. A special SUSY QM algebra is studied at the end of the paper. In addition we study the impact of a non-trivial holomorphic metric perturbation on the localized solutions along each matter curve. Moreover, we study the connection of the localized solutions to an N=2 supersymmetric quantum mechanics algebra when background fluxes are turned on.
References added, New Material Added, Published version
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Cited by in corpus (7)
- Models of Particle Physics from Type IIB String Theory and F-theory: A Review
- Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
- Wavefunctions and the Point of E8 in F-theory
- Qubits from Black Holes in M-theory on K3 Surface
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- Graded Geometric Structures Underlying F-Theory Related Defect Theories
- A Criterion for Physically Acceptable Extra Dimensions with Boundaries