String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry

TL;DR

This paper derives explicit one-loop gauge theory amplitudes with half-maximal supersymmetry in six dimensions using string-inspired methods, confirming their consistency with string theory limits and gauge invariance.

Contribution

It provides a first-principles derivation of 3- and 4-point amplitudes in 6D Yang-Mills with half-maximal supersymmetry, connecting string theory and field theory results.

Findings

Unique amplitude expressions from gauge invariance and locality

Matching with string theory in the field-theory limit

Validation of string-inspired amplitude construction

Abstract

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields unique expressions for the 3- and 4-point amplitudes. We check that the results are reproduced in the field-theory limit $\alpha' \rightarrow 0$ of string amplitudes in K3 orbifolds, using simplifications made in a companion string-theory paper 1603.05262.