Covariantized matrix theory for D-particles

We reformulate the matrix theory of d-particles in a manifestly lorentz-covariant fashion in the sense of 11 dimesnional flat minkowski space-time, from the view-point of the so-called dlcq interpretation of the light-front matrix theory. the theory is characterized by various symmetry properties including higher gauge symmetries, which contain the usual su(n ) symmetry as a special case and are extended from the structure naturally appearing in association with a discretized version of nambu’s 3-bracket. the theory is scale invariant, and the emergence of the 11 dimensional gravitational length, or m-theory scale, is interpreted as a consequence of a breaking of the scaling symmetry through a super-selection rule. in the light-front gauge with the dlcq compactification of 11 dimensions, the theory reduces to the usual light-front formulation. in the time-like gauge with the ordinary m-theory spatial compactification, it reduces to a non-abelian born-infeld-like theory, which in the limit of large n becomes equivalent with the original bfss theory.