Scale Invariant Low-Energy Effective Action in N=3 SYM Theory

TL;DR

This paper constructs a scale-invariant low-energy effective action in N=3 SYM theory using harmonic superspace, generalizing the F^4/ component term and extending to higher-order terms within the Born-Infeld framework.

Contribution

It introduces a novel N=3 superspace formulation of the effective action, including the first nontrivial scale-invariant Born-Infeld term and its higher-order completions.

Findings

Constructed a scale-invariant effective action in N=3 superspace.

Generalized the F^4/ term to N=3 superfield form.

Extended the action to include all higher-order Born-Infeld terms.

Abstract

Using the harmonic superspace approach we study the problem of low-energy effective action in N=3 SYM theory. The candidate effective action is a scale and \gamma_5-invariant functional in full N=3 superspace built out of N=3 off-shell superfield strengths. This action is constructed as N=3 superfield generalization of F^4/\phi^4 component term which is leading in the low-energy effective action and is simultaneously the first nontrivial term in scale invariant Born-Infeld action. All higher-order terms in the scale invariant Born-Infeld action are also shown to admit an off-shell superfield completion in N=3 harmonic superspace.