Lessons from eclectic flavor symmetries
Por:
Nilles, Hans Peter, Ramos-Sanchez, Saul, Vaudrevange, Patrick K. S.
Publicada:
1 ago 2020
Categoría:
Nuclear and high energy physics
Resumen:
A top-down approach to the flavor problem motivated from string theory
leads to the concept of eclectic flavor groups that combine traditional
and modular flavor symmetries. To make contact with models constructed
in the bottom-up approach, we analyze a specific example based on the
eclectic flavor group Omega(1) (a nontrivial combination of the
traditional flavor group Delta(54) and the finite modular group T') in
order to extract general lessons from the eclectic scheme. We observe
that this scheme is highly predictive since it severely restricts the
possible group representations and modular weights of matter fields.
Thereby, it controls the structure of the Kahler potential and the
superpotential, which we discuss explicitly. In particular, both Kahler
potential and superpotential are shown to transform nontrivially, but
combine to an invariant action. Finally, we find that discrete
R-symmetries are intrinsic to eclectic flavor groups. (C) 2020 The
Author(s). Published by Elsevier B.V.
Filiaciones:
Nilles, Hans Peter:
Univ Bonn, Bethe Ctr Theoret Phys, Nussallee 12, D-53115 Bonn, Germany
Univ Bonn, Phys Inst, Nussallee 12, D-53115 Bonn, Germany
Ramos-Sanchez, Saul:
Univ Nacl Autonoma Mexico, Inst Fis, POB 20-364, Mexico City 01000, DF, Mexico
Tech Univ Munich, Phys Dept T75, James Franck Str 1, D-85748 Garching, Germany
Vaudrevange, Patrick K. S.:
Tech Univ Munich, Phys Dept T75, James Franck Str 1, D-85748 Garching, Germany
|