The Yang-Mills and chiral fields in six dimensions

In previous work [15], we constructed an action in six dimensions using YangMills 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-shell theory of chiral tensor fields.