Induced mass in N=2 super Yang-Mills theories

TL;DR

This paper explores how matter field masses in N=2 Super-Yang-Mills theories can be understood through deformed supersymmetry transformations involving central charges, extending previous free matter analyses.

Contribution

It provides explicit forms of deformed supersymmetry transformations and invariant Lagrangian for matter fields coupled to gauge supermultiplets in N=2 theories.

Findings

Explicit deformed supersymmetry transformations derived.

Invariant Lagrangian constructed with gauge interactions.

Generalization of previous free matter work achieved.

Abstract

The masses of the matter fields of N=2 Super-Yang-Mills theories can be defined as parameters of deformed supersymmetry transformations. The formulation used involves central charges for the matter fields. The explicit form of the deformed supersymmetry transformations and of the invariant Lagrangian in presence of the gauge supermultiplet are constructed. This works generalizes a former one, due to the same authors, which presented the free matter case.