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Hypermultiplet dependence of one-loop effective action in the N = 2 superconformal theories

We study one-loop low-energy effective action in the hypermultiplet sector for N = 2 superconformal models. Any such a model contains N = 2 vector multiplet and some number of hypermultiplets. Gauge group G is assumed to be broken down to G̃×K where K is an Abelian subgroup and a background vector multiplet belongs to the Cartan subalgebra corresponding to K. We find a general expression for the low-energy effective action in a form of a proper-time integral. The leading spacetime dependent contributions to the effective action are derived and their bosonic component structure is analyzed. The component action contains the terms with three and four space-time derivatives of component fields and has the Chern-Simons form.