Correlation Functions in N=3 Superconformal Theory

Details Correlation Functions in N=3 Superconformal Theory Correlation Functions in N=3 Superconformal Theory

2010-06-17

arxiv.org/abs/1006.3346v3

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, jheppub class

Scientific paper

Using a superspace representation of the N=3 Neveau-Schwarz super Virasoro algebra, we find solutions of N=3 super Ward identities. Global transformations generated by the non-abelian supercurrent require not only superfields, but also functions of Grassmann variables (in particular correlation functions and their linear combinations) to be su(2) representations. As a consequence, the only admissible fields in the theory are isospin singlets and doublets. We show how to compute the generic form of any N=3 n-point function and demonstrate a construction of all su(2) representations on the space of N=3 superfunctions.

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