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Construction of one-loop SYM effective action on the mixed branch in the harmonic superspace approach
We develop a systematic approach to construct the one-loop SYM
effective action depending on both vector multiplet and
hypermultiplet background fields. Beginning with the formulation of SYM theory in terms of harmonic superfields, we construct
the one-loop effective action using the covariant harmonic
supergraphs and calculate it in harmonic superfield form for
constant Abelian strength 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 superspace.Comment: 35 pages, JHEP styl