Superconformal field theories in analytic superspace

Details Superconformal field theories in analytic superspace Superconformal field theories in analytic superspace

2004-03-13

arxiv.org/abs/hep-th/0403144v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. The paper will appear in the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS

Scientific paper

We summarise recent work on superconformal field theories using analytic superspace. All operators of N=4 SYM can be given as unconstrained superfields on analytic superspace. We show how to write down operators as superfields on analytic superspace and how to completely solve the Ward indentities for their correlation functions. We discuss the non-renormalisation of certain operators, and of some of their correlation functions. We discuss the relationship between harmonic and analytic superspace. Finally we discuss applications of these techniques to superconformal field theory in 6 dimensions.

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