Structure of Low-Energy Effective Action in N=4 Supersymmetric Yang-Mills Theories

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We study a problem of low-energy effective action in N=4 super Yang-Mills theories. Using harmonic superspace approach we consider N=4 SYM in terms of unconstrained N=2 superfield and apply N=2 background field method to finding effective action for N=4 SU(n) SYM broken down to U(n)$^{n-1}$. General structure of leading low-energy corrections to effective action is discussed and calculational procedure for their explicit finding is presented.
11 pages, LaTeX, talk given at the International Workshop "Supersymmetry and Quantum Symmetries", Dubna, Russia, July 26-31, to appear in the Proceedings

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