将超对称大统一理论嵌入扩充超引力的尝试

AN ATTEMPT TO EMBED SUSY GUT INTO ESG

本文假设N=8扩充超引力能形成复合超多重态,并探讨了{3/2,}_(N=8)^(SU(8))和{2,}_(N=8)^(SU(8))两种复合超多重态容纳SU(5)超对称大统一理论的可能性。在较为苛刻的假设下,能由{3/2,}_(N=8)^(SU(8))方案得到三代轻子夸克和较满意的SU(5)超对称大统一粒子谱。在较为合理的假设下,能由{2,}_(N=8)^(SU(8))方案得到五代(或经过改进后得四代)轻子夸克。

This paper supposes that N=8 Extended Supergravity (ESG) can form the composite supermultiplets, and discusses the possibility of containing SU(5) Supersymme-tric Grand Unification Theory (SUSY GUT) in both composite supermultiplets {3/2, 8}(?) and {2,28}(?) Under some harsh assumptions, it is possible to obtain 3 generations of leptons and quarks and satisfactory particle spectrum of SU (5) SUSY GUT in the {3/2, 8} (?) scheme. Under some reasonable assumptions, it is possible to obtain 5 generations of leptons and quarks (or after some modification, 4 generations) in the {2,28}(?) scheme.