Yang–Mills characterization conjecture for regular Markovian holonomy fields

Let ${\sf HF}$ be a regular Markovian holonomy field, and let an admissible Lévy process determine a Yang–Mills field through the Yang–Mills-fields construction. Yang–Mills characterization conjecture. Every regular Markovian holonomy field is a Yang–Mills field. This would show that the two arrows between regular Markovian holonomy fields and admissible Lévy processes are inverse to each other, completing the characterization of regular Markovian holonomy fields by admissible Lévy processes. The source does not state a resolution of this conjecture.