Wilson Lines and a Canonical Basis of SU(4) Heterotic Standard Models

Understand

The spontaneous breaking of SU(4) heterotic standard models by Z_3 x Z_3 Wilson lines to the MSSM with three right-handed neutrino supermultiplets and gauge group SU(3)_C x SU(2)_L x U(1) x U(1) is explored.

• The two-dimensional subspace of the Spin(10) Lie algebra that commutes with su(3)_C + su(2)_L is analyzed.
• It is shown that there is a unique basis for which the initial soft supersymmetry breaking parameters are uncorrelated and for which the U(1) x U(1) field strengths have no kinetic mixing at any scale.
• If the Wilson lines "turn on" at different scales, there is an intermediate regime with either a left-right or a Pati-Salam type model.