Supergravity and light-like non-commutativity

We construct dual supergravity descriptions of field theories and little string theories with light-like non-commutativity. The field theories are realized on the world-volume of Dp-branes with light-like NS B-field and M5-branes with light-like C-field. The little string theories are realized on the world-volume of NS5-branes with light-like RR A-fields. The supergravity backgrounds are closely related to the A = 0, B = 0, C = 0 backgrounds. We discuss the implications of these results. We also construct dual supergravity descriptions of ODp theories realized on the worldvolume of NS5-branes with RR backgrounds.