New fields on super Riemann surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12pp, kcl-th-94-7

Scientific paper

10.1088/0264-9381/11/11/005

A new $(1,1)$-dimensional super vector bundle which exists on any super Riemann surface is described. Cross-sections of this bundle provide a new class of fields on a super Riemann surface which closely resemble holomorphic functions on a super Riemann surface, but which (in contrast to the case with holomorphic functions) form spaces which have a well defined dimension which does not change as odd moduli become non-zero.

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