Abstract
We consider the role of a 3-form gauge field and a dynamical supermembrane coupled to the former in the Veneziano–Yankielowicz effective field theory describing the gaugino condensate of $$\mathcal{N} = 1$$ , $$D = 4$$ SYM. In particular, we show how these objects provide a self-consistent description of BPS domain walls interpolating between two different SYM vacua and get their explicit shape by solving corresponding BPS equations.
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