Automorphic forms and fermion masses

Automorphic forms and fermion masses

Blog Article

Abstract We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups Γ, that allow the presence of several moduli and make connection with the theory of automorphic forms.Moduli span a coset space G/K, where G is a Lie group and K is a compact subgroup of G, modded out by Γ.For a general choice of G, K, Γ and a generic matter content, we explicitly construct a minimal Beko ASL1331PX Stainless Steel American Fridge Freezer Kähler potential and a general superpotential, for both rigid and local N $$ mathcal{N} $$ = 1 supersymmetric theories.

We also specialize our construction to the case G = Karaoke CDs Sp(2g, ℝ), K = U(g) and Γ = Sp(2g, ℤ), whose automorphic forms are Siegel modular forms.We show how our general theory can be consistently restricted to multi-dimensional regions of the moduli space enjoying residual symmetries.After choosing g = 2, we present several examples of models for lepton and quark masses where Yukawa couplings are Siegel modular forms of level 2.