Instanton-soliton loops in 5D super-Yang-Mills

TL;DR

This paper investigates instanton-soliton loops in 5D super-Yang-Mills, showing they do not suppress perturbative contributions faster than any power, impacting the understanding of the theory's UV behavior and its relation to 6D CFT.

Contribution

It demonstrates that instanton-soliton form factors in 5D super-Yang-Mills do not lead to rapid suppression of perturbative effects, providing insights into the theory's UV properties.

Findings

Instanton-soliton form factors do not cause faster-than-power suppression.

Implications for the UV behavior of 5D super-Yang-Mills.

Relation to the (2,0) CFT in 6D.

Abstract

Soliton contributions to perturbative processes in QFT are controlled by a form factor, which depends on the soliton size. We provide a demonstration of this fact in a class of scalar theories with generic moduli spaces. We then argue that for instanton-solitons in 5D super-Yang-Mills theory the analogous form factor does not lead to faster-than-any-power suppression in the perturbative coupling. We also discuss the implications of such contributions for the UV behavior of maximally supersymmetric Yang-Mills in 5D and its relation to the (2,0) CFT in 6D. This is a contribution to the proceedings of the "String Math 2013'" conference and is a condensed version of results appearing in 1404.0016 and 1403.5017.