Matrix theory in a constant C field background Original Research Article

D0-branes moving in a constant antisymmetric C field are found to be described by quantum mechanics of the supersymmetric matrix model with a similarity transformation. Sometimes this similarity transformation is singular or ill-defined and cannot be ignored. As an example, when there are nonvanishing C−ij components, we obtain the theory for Dp-branes which is effectively the noncommutative super Yang–Mills theory. We also briefly discuss the effects of other nonvanishing components such as C+ij and Cijk.