Superconformal Primary Fields on a Graded Riemann Sphere

TL;DR

This paper constructs primary superfields on a graded Riemann sphere within 2D superconformal field theory, specifically applying to the N=3 Neveu-Schwarz case, and computes key quantities like the super-Mobius group elements and two-point functions.

Contribution

It introduces a sheaf-theoretic construction of primary superfields on a graded Riemann sphere and applies it to the N=3 superconformal case, providing explicit calculations.

Findings

Explicit construction of primary superfields as sheaf sections.

Calculation of super-Mobius group elements in N=3 theory.

Derivation of the two-point function for N=3 superconformal fields.

Abstract

Primary superfields for a two dimensional Euclidean superconformal field theory are constructed as sections of a sheaf over a graded Riemann sphere. The construction is then applied to the N=3 Neveu-Schwarz case. Various quantities in the N=3 theory are calculated and discussed, such as formal elements of the super-Mobius group, and the two-point function.