We give a twisted holomorphic superspace description for the super-Yang–Mills theory, using holomorphic and antiholomorphic decompositions of twisted spinors. We consider the case of the N = 1 super-Yang–Mills theory in four dimensions. We solve the constraints in two different manners, without and with a prepotential. This might have further application for an holomorphic superspace description of N = 1,d = 10 theory. We also explain how the N = 1 and N = 2 holomorphic superspaces are related
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