Superconformal primary fields on a graded Riemann sphere
Abstract
Primary superfields for a twodimensional Euclidean superconformal field theory are constructed as sections of a sheaf over a graded Riemann sphere. The transformation law is found to be the same as that of an O(N) extended primary field. The construction is then applied to the N=3 NeveuSchwarz case. Various quantities in the N=3 theory are calculated, such as elements of the superMöbius group, and the twopoint function. Applications of the construction to calculate threepoint functions and fusion rules in a manifestly supersymmetric fashion are discussed.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 June 2004
 DOI:
 10.1063/1.1739295
 arXiv:
 arXiv:hepth/0309243
 Bibcode:
 2004JMP....45.2492N
 Keywords:

 11.25.Hf;
 11.30.Pb;
 11.30.Ly;
 11.10.Cd;
 11.10.Lm;
 02.30.Uu;
 Conformal field theory algebraic structures;
 Supersymmetry;
 Other internal and higher symmetries;
 Axiomatic approach;
 Nonlinear or nonlocal theories and models;
 Integral transforms;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 LaTeX2e, 23 pages