Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter

TL;DR

This paper develops a method to compute the one-loop effective action of hypermultiplet matter coupled to N=2 gauge fields, revealing both superconformal and anomaly corrections in a unified framework.

Contribution

It introduces a novel operator symbol technique in N=1 superspace to systematically derive the structure of the effective action in N=2 supersymmetric theories.

Findings

Explicit form of leading low-energy effective action contributions

Unified treatment of superconformal and anomaly corrections

Development of a general derivative expansion approach

Abstract

We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action based on an operator symbol technique adopted to N=1 supersymmetric field models. The approach under consideration allows to investigate on a unique ground a general structure of effective action and obtain both N=2 superconformal invariant (non-holomorphic) corrections and anomaly (holomorphic) corrections. The leading low-energy contributions to effective action are found in explicit form.