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The equations of motion of multiple M0{brane (multiple M-wave or mM0) systemin an arbitrary D = 11 supergravity superspace, which generalize the Matrixmodel equations for the case of inter- action with a generic 11D supergravitybackground, are obtained in the frame of superembedding approach. We alsoderive the BPS equations for supersymmetric bosonic solutions of these mM0equations and show that the set of 1/2 BPS solutions contain a fuzzy spheremodeling M2 brane as well as that the Nahm equation appears as a particularcase of the 1/4 BPS equations.

Multiple M0-brane system in an arbitrary eleven dimensional supergravity background