Covariant Harmonic Supergraphity for N = 2 Super Yang--Mills Theories

Abstract

We review the background field method for general N = 2 super Yang-Mills theories formulated in the N = 2 harmonic superspace. The covariant harmonic supergraph technique is then applied to rigorously prove the N=2 non-renormalization theorem as well as to compute the holomorphic low-energy action for the N = 2 SU(2) pure super Yang-Mills theory and the leading non-holomorphic low-energy correction for N = 4 SU(2) super Yang-Mills theory.

17 pages, LAMUPHYS LaTeX, no figures; based on talks given by I. Buchbinder and S. Kuzenko at the International Seminar ``Supersymmetries and Quantum Symmetries'', July 1997, Dubna; to be published in the proceedings

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• On the D = 4, N = 2 Non-Renormalization Theorem
• Comments on the Background Field Method in Harmonic Superspace: Non-holomorphic Corrections in N=4 SYM
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