Delta(54) flavor phenomenology and strings

Understand

Delta(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored.

• We show that in a classification of semi-realistic Z3xZ3 heterotic string orbifolds, Delta(54) turns out to be the most natural flavor symmetry, providing additional motivation for its study.
• We revisit its phenomenological potential from a low-energy perspective and subject to the constraints of string models.
• We find a model with Delta(54) arising from heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks and charged-leptons.