Speaker
Description
Symmetry principles have long been applied to the flavour puzzle. In a bottom-up approach, the variety of possible symmetry groups and symmetry breaking sectors is huge, the predictability is reduced and the number of allowed models diverges. A relatively well-motivated and more constrained framework is provided by supersymmetric theories where a discrete subgroup Γ of a non-compact Lie group G plays the role of flavour symmetry and the symmetry breaking sector spans a coset space G/K, K being a compact subgroup of G. For a general choice of G, K, Γ and a generic matter content, we show how to construct a minimal Kaehler potential and a general superpotential, for both rigid and local N = 1 supersymmetric theories. We also describe a concrete model of lepton masses, specializing the construction to the case G = Sp(2g,R), K = U(g) and Γ = Sp(2g, Z).
