Automorphism groups of N=2 superconformal super-Riemann spheres

Abstract

Communicated by C.A. Weibel MSC: Primary: 32C11; 58A50; 17B66; 17B68; 32Q30 Secondary: 81T60; 81T40; 51P05 a b s t r a c tWe 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.