Abstract
We describe in detail a Z 6 orbifold compactification of the heterotic E 8 × E 8 string which leads to the (supersymmetric) Standard Model gauge group and matter content. The quarks and leptons appear as three 16-plets of SO ( 10 ) , two of which are localized at fixed points with local SO ( 10 ) symmetry. The model has supersymmetric vacua without exotics at low energies and is consistent with gauge coupling unification. Supersymmetry can be broken via gaugino condensation in the hidden sector. The model has large vacuum degeneracy. Certain vacua with approximate B – L symmetry have attractive phenomenological features. The top quark Yukawa coupling arises from gauge interactions and is of the order of the gauge couplings. The other Yukawa couplings are suppressed by powers of Standard Model singlet fields, similarly to the Froggatt–Nielsen mechanism.
Highlights
ÙØ ÙÐÐÝ ÖÐÞÒØÒ Ó ×Ø Ð ÓÒ Ø Ô Ø ØÓÛ Ö × ÙÒ Ø ÓÒ Ö Ø À × Ð × ̧ Û Ö SU(2)L ÓÙ Ð Ø× ̧ Û Ð Ø ×Ñ ÐÐ ×Ø SO(10) Ö ÔÖ × ÒØ Ø ÓÒ ÓÒØ Ò Ò Ø À × ÓÙ Ð Ø× ̧ Ø.
10 ÔÐ Ø ÔÖ Ø× Ø ÓÒ Ð SU(3)c ØÖ ÔÐ Ø×o Ì Ø Ø Ø À × Ð × ÓÖÑ Ò ÓÑ1 ÔÐ Ø ×ÔÐ Ø3 ÍÌ Ö ÔÖ × ÒØ Ø ÓÒ× × Ô ÖØ ÙÐ ÖÐÝ ÔÙÞÞÐ Ò Ò ×ÙÔ Ö×ÝÑÑ ØÖ Ø ÓÖ ×.
ÓÖ ÓÐ ÍÌ× Û ÓÒ Ó Ø Ò× ÓÖ ØÛÓ ÓÑÔ Ø Ñ Ò× ÓÒ× Ó × Þ 1/MGUTo Ì Ý Ø1ÁÐ ÓÔÓÙÐÓ× ́ Áμ D1Ø ÖÑ Ó Ò ÒÓÑ ÐÓÙ× U(1) ØÖ Ö× ÙÖØ Ö ×ÝÑÑ ØÖÝ.
Summary
Ò Ó ×Ø Ð ÓÒ Ø Ô Ø ØÓÛ Ö × ÙÒ Ø ÓÒ Ö Ø À × Ð × ̧ Û Ö SU(2)L ÓÙ Ð Ø× ̧ Û Ð Ø ×Ñ ÐÐ ×Ø SO(10) Ö ÔÖ × ÒØ Ø ÓÒ ÓÒØ Ò Ò Ø À × ÓÙ Ð Ø× ̧ Ø. 10 ÔÐ Ø ÔÖ Ø× Ø ÓÒ Ð SU(3)c ØÖ ÔÐ Ø×o Ì Ø Ø Ø À × Ð × ÓÖÑ Ò ÓÑ1 ÔÐ Ø ×ÔÐ Ø3 ÍÌ Ö ÔÖ × ÒØ Ø ÓÒ× × Ô ÖØ ÙÐ ÖÐÝ ÔÙÞÞÐ Ò Ò ×ÙÔ Ö×ÝÑÑ ØÖ Ø ÓÖ ×. ÓÖ ÓÐ ÍÌ× Û ÓÒ Ó Ø Ò× ÓÖ ØÛÓ ÓÑÔ Ø Ñ Ò× ÓÒ× Ó × Þ 1/MGUTo Ì Ý Ø1ÁÐ ÓÔÓÙÐÓ× ́ Áμ D1Ø ÖÑ Ó Ò ÒÓÑ ÐÓÙ× U(1) ØÖ Ö× ÙÖØ Ö ×ÝÑÑ ØÖÝ.
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