The N=2 Super Yang-Mills Low-Energy Effective Action at Two Loops

TL;DR

This paper performs a two-loop calculation of the low-energy effective action in N=2 supersymmetric Yang-Mills theory and finds that the two-loop contribution cancels out completely, resulting in a zero net effect.

Contribution

It provides a detailed two-loop analysis showing the exact cancellation of contributions in the low-energy effective action for N=2 SYM with hypermultiplets.

Findings

Two-loop contributions cancel exactly at the integrand level.

The effective action receives no two-loop corrections.

The result supports non-renormalization properties of N=2 SYM.

Abstract

We have carried out a two loop computation of the low-energy effective action for the four-dimensional N=2 supersymmetric Yang-Mills system coupled to hypermultiplets, with the chiral superfields of the vector multiplet lying in an abelian subalgebra. We have found a complete cancellation at the level of the integrands of Feynman amplitudes, and therefore the two loop contribution to the action, effective or Wilson, is identically zero.