Mass of the Fayet Hypermultiplet Induced by a Central Charge Constraint

TL;DR

The paper demonstrates that the mass of the Fayet hypermultiplet in N=2 supersymmetric Yang-Mills theory can be generated via a generalized central charge constraint, remaining unrenormalized at the quantum level.

Contribution

It introduces a generalized central charge constraint that induces the hypermultiplet mass, which is a novel approach in supersymmetric matter sector analysis.

Findings

Mass can be induced through a generalized central charge constraint

Mass parameter remains unrenormalized at quantum level

Provides a new perspective on supersymmetry transformations

Abstract

We show that the mass of the Fayet hypermultiplet, which represents the matter sector of N=2 supersymmetric Yang-Mills theory, may be induced through a generalization of the central charge constraint usually proposed in the literature. This mass showing up as a parameter of the supersymmetry transformations, we conclude that it will stay unrenormalized at the quantum level.