Deformed one-loop amplitudes in N = 4 super-Yang-Mills theory

TL;DR

This paper explores deformations of one-loop amplitudes in N=4 super-Yang-Mills theory using algebraic methods, revealing new insights into their structure and representations.

Contribution

It introduces a novel algebraic framework for Yangian-invariant deformations of one-loop amplitudes in N=4 super-Yang-Mills theory.

Findings

Reproduces the deformed massless box integral for four-point amplitudes

Compares different realizations of deformed one-loop amplitudes

Provides a new perspective on amplitude deformations in supersymmetric gauge theories

Abstract

We investigate Yangian-invariant deformations of one-loop amplitudes in N = 4 super-Yang-Mills theory employing an algebraic representation of amplitudes. In this language, we reproduce the deformed massless box integral describing the deformed four-point one-loop amplitude and compare different realizations of said amplitude.