Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach

Abstract

We develop a systematic approach to construct the one-loop $\mathcal{N}=4$ SYM effective action depending on both $\mathcal{N}=2$ vector multiplet and hypermultiplet background fields. Beginning with the formulation of $\mathcal{N}=4$ SYM theory in terms of $\mathcal{N}=2$ harmonic superfields, we construct the one-loop effective action using the covariant $\mathcal{N}=2$ harmonic supergraphs and calculate it in $\mathcal{N}=2$ harmonic superfield form for constant Abelian strength $F_{mn}$ and corresponding constant hypermultiplet fields. The hypermultiplet-dependent effective action is derived and given by integral over the analytic subspace of harmonic superspace. We show that each term in the Schwinger-De Witt expansion of the low-energy effective action is written as integral over full $\mathcal{N}=2$ superspace.

35 pages, JHEP style

References in corpus (1)

• Exact propagators in harmonic superspace

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