The Yang-Mills and chiral fields in six dimensions

TL;DR

This paper demonstrates that a six-dimensional gauge theory with Yang-Mills and auxiliary fields encapsulates the dynamics of the (2,0) supersymmetric chiral tensor field theory, revealing a unified framework for these complex fields.

Contribution

It shows that a constructed 6D gauge theory reproduces the equations and constraints of the (2,0) chiral tensor field theory, linking gauge and tensor formulations.

Findings

Reproduces all dynamical equations of (2,0) theory

Derives constraints consistent with self-dual tensor fields

Indicates gauge theory contains complete information of chiral tensor fields

Abstract

In previous work (Singh, 2011), we constructed an action in six dimensions using Yang-Mills fields and an auxiliary Abelian field. Here we first write down all the equations of motion and the constraints which arise from such an action. From these equations we reproduce all dynamical equations and the constraints required for self-dual tensor field theory constructed by Lambert-Papageorgakis, which describes (2,0) supersymmetric CFT in 6D. This is an indication of the fact that our 6D gauge theory contains all the same information as the on-shall theory of chiral tensor fields.