Non-relativistic AdS branes and Newton-Hooke superalgebra

We examine a non-relativistic limit of D-branes in AdS(5) x S-5 and M-branes in AdS(4/7) x S-7/4. First, Newton-Hooke superalgebras for the AdS branes are derived from AdS x S superalgebras as Inonu-Wigner contractions. It is shown that the directions along which the AdS-brane worldvolume extends are restricted by requiring that the isometry on the AdS-brane worldvolume and the Lorentz symmetry in the transverse space naturally extend to the super-isometry. We also derive Newton-Hooke superalgebras for pp-wave branes and show that the directions along which a brane worldvolume extends are restricted. Then the Wess-Zumino terms of the AdS branes are derived by using the Chevalley-Eilenberg cohomology on the super-AdS x S algebra, and the non-relativistic limit of the AdS-brane actions is considered. We show that the consistent limit is possible for the following branes: Dp (even, even) for p = 1 mod 4 and Dp (odd, odd) for p = 3 mod 4 in AdS(5) x S-5, and M2 (0,3), M2 (2,1), M5 (1,5) and M5 (3,3) in AdS(4) x S-7 and S-4 x AdS(7). We furthermore present non-relativistic actions for the AdS branes.