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Hypermultiplet dependence of one-loop effective action in the ${\cal N}=2$ superconformal theories

I. L. Buchbinder N. G. Pletnev
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Abstract

We study one-loop low-energy effective action in the hypermultiplet sector for ${\cal N}=2$ superconformal models. Any such a model contains ${\cal N}=2$ vector multiplet and some number of hypermultiplets. Gauge group $G$ is assumed to be broken down to $\tilde{G}\times K$ 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 space-time 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.

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I. L. Buchbinder N. G. Pletnev. 2007-04-18. Hypermultiplet dependence of one-loop effective action in the ${\cal N}=2$ superconformal theories. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F096

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