Automorphism groups of N=2 superconformal super-Riemann spheres

2008/10/01 by Katrina Barron, Barron, Katrina
Mathematics · Physics and Astronomy · #17B66 #32C11 #32Q30 #51P05. #58A50 #81T40 #81T60 #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA #msc:17B66 #msc:32C11 #msc:32Q30 #msc:51P05. #msc:58A50 #msc:81T40 #msc:81T60

paper · pdf · doi:10.48550/arxiv.0810.0054

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

openalex publication_date 2008/10/01 · arxiv created 2010/04/11 · arxiv updated 2010/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• 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

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