Old and New Fields on Super Riemann Surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/0264-9381/13/5/009

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.

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