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

TL;DR

This paper reviews a method for calculating the one-loop low-energy effective action in N=2 superconformal theories, focusing on hypermultiplet contributions and deriving a general proper-time integral expression.

Contribution

It provides a general formula for the effective action in N=2 superconformal models, including explicit derivation of leading space-time dependent terms and their bosonic structure.

Findings

Derived a proper-time integral expression for the effective action.

Identified leading derivative contributions with Chern-Simons-like structure.

Analyzed the bosonic component structure of the effective action.

Abstract

I review the approach [1] to the one-loop low-energy effective action in the hypermultiplet sector for N=2 superconformal models. Any such a model contains an N=2 vector multiplet and some number of hypermultiplets. We found a general expression for the low-energy effective action in the 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 terms with three and four space-time derivatives of component fields and has the Chern-Simons-like form.