Nekrasov's uniqueness conjecture for noncommutative Hermitian Yang–Mills solutions

Let Equation

$$denote Nekrasov's equation, and impose an appropriate boundary condition at infinity. **Nekrasov's uniqueness conjecture.** Equation$$

has a unique solution with a given appropriate boundary condition at infinity. This is an informal conjecture attributed to Nekrasov; the source does not specify the equation or boundary condition precisely, and its resolution is not established here.