N=2 Supermultiplet of Currents and Anomalous Transformations in Supersymmetric Gauge Theory

TL;DR

This paper investigates the structure and quantum anomalies of a supermultiplet in N=2 supersymmetric Yang-Mills theory, focusing on currents, supercurrents, and the energy-momentum tensor, with one-loop order calculations.

Contribution

It identifies the supermultiplet structure and computes anomalous supersymmetry transformations related to the central charge and energy-momentum tensor at one-loop.

Findings

Supermultiplet includes U(1)_J current, supercurrents, and energy-momentum tensor.

Superconformal improvement involves adding a supermultiplet with the U(1)_R current.

Quantum anomalies in supersymmetry transformations are calculated at one-loop order.

Abstract

We examine some properties of supermultiplet consisting of the U(1)_{J} current, extended supercurrents, energy-momentum tensor and the central charge in N=2 supersymmetric Yang-Mills theory. The superconformal improvement requires adding another supermultiplet beginning with the U(1)_{R} current. We determine the anomalous (quantum mechanical) supersymmetry transformation associated with the central charge and the energy-momentum tensor to one-loop order.