Structure of Low-Energy Effective Action in N=4 Supersymmetric Yang-Mills Theories

TL;DR

This paper investigates the structure of the low-energy effective action in N=4 super Yang-Mills theories using harmonic superspace and background field methods, providing a framework for calculating leading corrections.

Contribution

It introduces a harmonic superspace approach and applies N=2 background field method to analyze the effective action in N=4 SYM, detailing the structure and calculation procedures.

Findings

General structure of low-energy corrections discussed

Explicit calculational procedures presented

Effective action for broken N=4 SYM analyzed

Abstract

We study a problem of low-energy effective action in N=4 super Yang-Mills theories. Using harmonic superspace approach we consider N=4 SYM in terms of unconstrained N=2 superfield and apply N=2 background field method to finding effective action for N=4 SU(n) SYM broken down to U(n)$^{n-1}$. General structure of leading low-energy corrections to effective action is discussed and calculational procedure for their explicit finding is presented.