Effective Action in $\mathcal{N}=2,4$ Supersymmetric Yang-Mills Theories

Abstract

We review the approach to calculation of one-loop effective action in $\mathcal{N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in $\mathcal{N}=2$, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for $R_{\xi }$-gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of the Euler dilogarithm function for a specific choice of gauge parameters.We also discuss the calculations of hypermultiplet dependence of $\mathcal{N}=4$ SYM effective action.

arXiv comment13 pages, LaTeX, Based on the talks given by authors at the International Conference on Theoretical and Experimental Problems of General Relativity and Gravitation and International Workshop on Gravity, Strings and Quantum Field Theory (GRG 11), Tomsk, Russia, 1-10

Cited by in corpus (1)

• Studies of low-energy effective actions in supersymmetric field theories