【摘要】 本文应用超空间的规范超群的规范作用机制和将所论的超引力的引力部分看做引力规范理论,提出一种ISO（3,1|N）Poincare扩展超引力和一种OS_p（N|4）deSitte^r扩展超引力,给出了ISO（3,1|N）生成元和OS_p（N|4）生成元的一种新表示,得到了iso（3,1|N）和osp（N|4）超代数的交换和反交换关系,构造了这两种超引力的作用量,同时讨论了一些其它问题。文中,用于这两种超引力中的基于超对称变换的粒子多重态方法被给出,同时也给出了这两种超引力中不同旋性的可能粒子的数目。如果我们选取一个适当的表示,我们将得到H₁ⁱ,H₃ⁱ是升高旋性1/2和H₂ⁱ,H₄ⁱ是下降旋性1/2的算符的结论,并且对于算符O_αⁱ也得到类似的结果。本文构造了一系列具有不同旋性的多重态,同时也得到了旋性为J_max-t/2的粒子态将按内对称规范群的反对称t秩张量表示变换的结果。对于OS_p（N|4）超引力,如果我们对一个粒于态连续施行两次超对称变换,得到的各粒子态将与原始态间还将差有转动。更多还原

【Abstract】 In this paper we advanced a ISO（3, 1|N） Poincare extended supergravityand a OS_p（N|4） de Sitter one by using the supergauge action mechnisms ofsupergroups on the superspaces and by treating the gravitational part of thesetwo supergravities as the gauge theory of gravity, given a new matrix repre-sentation of ISO（3, 1|N） generators and anew one of OS_p（N|4） ones, obtainedthe commutation and anticommutation relations of ISO（3, 1|N） and OS_p（N|4）superalgebras, constructed the actions of these supergravities, and discussedsome other problems. The particle multiplets way which is based on the super-symmetry transformation and used in these supergravities is given and theprobable numbers of the particles of diffenent helicities in the two super-gravities are given. If a suitable representation is chosen, we can obtained theconclusion that H₁ⁱ, H₃ⁱ are the operators raising helicity 1/2 and H₂ⁱ, H₄ⁱare the ones lowering helicity 1/2, and a same result can be obtained for theoperators O₂ⁱ. A series of multiplets with distinct helicities are constructed andthe conclusion that the particle states of helicity J_max- t/2 will be transfor-med according to the trank antisymmetric tensor representation of internalsymmetric gauge group is arrived also. For the OS_p（N|4） supergravity if weexert twice supersymmetry transformations in a particle state successively,the obtained particle states are different from original state in the rotati-onsalso.更多还原