Supersymmetric Yang-Mills theory in D=6 without anti-commuting variables

TL;DR

This paper formulates six-dimensional supersymmetric Yang-Mills theory without anti-commuting variables using a novel Nicolai map, revealing potential ambiguities and extending previous work in this area.

Contribution

It introduces a new Nicolai map for 6D supersymmetric Yang-Mills theory without anti-commuting variables, advancing the formalism and highlighting ambiguities.

Findings

Developed a third-order Nicolai map in coupling constant

Presented the second such map in six dimensions

Identified potential ambiguities in the formalism

Abstract

Supersymmetric Yang-Mills theory is formulated in six dimensions, without the use of anti-commuting variables. This is achieved using a new Nicolai map, to third order in the coupling constant. This is the second such map in six dimensions and highlights a potential ambiguity in the formalism.