Old and New Fields on Super Riemann Surfaces

Abstract

The ``new fields" or ``superconformal functions" on $N=1$ super Riemann surfaces introduced recently by Rogers and Langer are shown to coincide with the Abelian differentials (plus constants), viewed as a subset of the functions on the associated $N=2$ super Riemann surface. We confirm that, as originally defined, they do not form a super vector space.

arXiv comment9 pages, LaTex. Published version: minor changes for clarity, two new references

References in corpus (1)

• New fields on super Riemann surfaces