Abstract
We determine the automorphism groups for the countably infinite family of N = 2 superconformal equivalence classes of DeWitt N = 2 superconformal super-Riemann surfaces with closed, genus-zero body. We then 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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