  We construct the low energy effective action for the bosonic sector on a
Dp-brane in large constant RR (p-1)-form field background. The action is
invariant under both U(1) gauge symmetry and the volume-preserving
diffeomorphism characterizing the RR-field background. Scalar fields
representing transverse coordinates of the Dp-brane are included. It also
respects T-duality and is consistent with the action for M5-brane in C-field
background.
