# Effective actions in $$\mathcal{N}=1$$ , D5 supersymmetric gauge theories: harmonic superspace approach

Journal of High Energy Physics, Nov 2015

We consider the off-shell formulation of the 5D, $$\mathcal{N}=1$$ super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to constructing the one-loop effective action both in super Yang-Mills and super Chern-Simons models. On the base of this approach we compute the leading low-energy quantum contribution to the effective action on the Abelian vector multiplet background. This contribution corresponds to the ‘F 4’ invariant which is given in 5D superfield form.

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I. L. Buchbinder, N. G. Pletnev. Effective actions in $$\mathcal{N}=1$$ , D5 supersymmetric gauge theories: harmonic superspace approach, Journal of High Energy Physics, 2015, 130, DOI: 10.1007/JHEP11(2015)130