Noncommutative gravity in the N=1 case
We show that N=1 super Yang-Mills (SYM) theory is able to be noncommutative in the N=1 case. For the basic matter charge of the theory, this is achieved by a change of the field equations. For the phase space, in particular the phase space of the SYM theory, we compute the noncommutative current equation and find that for the SyM charge the noncommutative current equation is the usual one. Then, the noncommutativity parameter leads to the existence of the noncommutative phase space of the SYM theory. This is a contribution to the forthcoming monograph `Let's talk about GR'.