Superconformal Primary Fields on a Graded Riemann Sphere

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.

LaTeX2e, 23 pages; fixed typos, sorted references, modified definition of primary superfield on page 7

References in corpus (3)

• Singular Vectors of the $N=2$ Superconformal Algebra
• Null vectors of the superconformal algebra: the Ramond sector
• Classification of Two Dimensional N=4 Superconformal Symmetries

Cited by in corpus (3)

• Logarithmic Primary Fields in Conformal and Superconformal Field Theory
• On Stochastic Evolutions and Superconformal Field Theory
• On Extensions of Superconformal Algebras