Wilson Lines and a Canonical Basis of SU(4) Heterotic Standard Models
Mar, 2012Citations per year
Abstract: (arXiv)
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. We compute their spectra directly from string theory, and adjust the associated mass parameter so that all gauge parameters exactly unify. A detailed analysis of the running gauge couplings and soft gaugino masses is presented.Note:
- 59 pages, 9 figures
- coupling: gauge
- neutrino: right-handed
- mixing: kinetic
- gaugino: mass
- algebra: Lie
- supersymmetry: symmetry breaking
- Wilson loop
- heterotic
- gauge field theory: SU(4)
- gauge field theory: SU(3) x SU(2) x U(1) x U(1)
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Figures(7)
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