A less-constrained (2,0) super-Yang-Mills model: The coupling to non-linear sigma-models

Considering a class of (2,0) super-Yang-Mills multiplets characterized by the appearance of a pair of independent gauge potentials, we present here their coupling to nonlinear sigma-models in (2,0)-superspace. Contrary to the case of the coupling to (2,0) matter superfields, the extra gauge potential present in the Yang-Mills sector does not decouple from the theory in the case one gauges isometry groups of sigma-models.