N=2超共形超黎曼球面的自同构群
Automorphism groups of N=2 superconformal super-Riemann spheres
摘要：
在以前的工作中，作者证明了存在可数无限族的具有闭亏格零体的DeWitt N=2超共形超Riemann曲面的N=2超共形等价类.本文确定了N=2超共形超Riemann曲面的自同构群，并分析了这些自同构群的Lie结构。在N=2超共形结构与N=1超解析结构的对应下，所得结果推广到N=1超解析DeWitt超Riemann曲面的自同构群的确定.
英文摘要：
In previous work, the author proved that there is a countably infinite family of N=2 superconformal equivalence classes of DeWitt N=2 superconformal super-Riemann surfaces with closed, genus-zero body. In this paper, we determine the automorphism groups for these N=2 superconformal super-Riemann surfaces, and analyze the Lie structure of these groups. Under the correspondence between N=2 superconformal and N=1 superanalytic structures, the results extend to the determination of automorphism groups of N=1 superanalytic DeWitt super-Riemann surfaces with closed, genus-zero body.
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