Automorphism groups of N=2 superconformal super-Riemann spheres

Abstract

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.

Corollary 6.1 renamed a Theorem; minor adjustments. Final version; to appear in J. Pure Appl. Alg.

References in corpus (3)

• N=1 Neveu-Schwarz vertex operator superalgebras over Grassmann algebras and with odd formal variables
• On axiomatic aspects of N=2 vertex superalgebras with odd formal variables, and deformations of N=1 vertex superalgebras
• On uniformization of N=2 superconformal and N=1 superanalytic DeWitt super-Riemann surfaces