We present a complete nonlinear action for the dynamical system of nearly coincident multiple D$0$-branes (mD$0$) which possesses, besides manifest spacetime (target superspace) supersymmetry, also the worldline supersymmetry, a counterpart of the local fermionic $\kappa$-symmetry of single D$0$-brane (Dirichlet superparticle). The action contains an arbitrary non-vanishing function ${ \cal M}({ \cal H})$ of the relative motion Hamiltonian ${ \cal H}$. The $D=10$ mD$0$ model with particular form of ${ \cal M}({ \cal H})$ can be obtained by dimensional reduction from the action of eleven-dimensional ($D=11$) multiple M-wave (mM$0$) system.
Categories: hep-th gr-qc math-ph math.MP