Non-Relativistic AdS Branes and Newton-Hooke Superalgebra

TL;DR

This paper explores non-relativistic limits of AdS branes, deriving associated superalgebras, restrictions on brane directions, and constructing non-relativistic brane actions, extending the understanding of brane dynamics in non-relativistic regimes.

Contribution

It introduces a systematic derivation of Newton-Hooke superalgebras for AdS branes and constructs their non-relativistic actions, revealing new restrictions on brane configurations.

Findings

Derived Newton-Hooke superalgebras from AdS superalgebras.

Identified restrictions on brane worldvolume directions.

Constructed non-relativistic brane actions in AdS backgrounds.

Abstract

We examine a non-relativistic limit of D-branes in AdS_5xS^5 and M-branes in AdS_{4/7}xS^{7/4}. First, Newton-Hooke superalgebras for the AdS branes are derived from AdSxS 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-AdSxS 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_5xS^5, and M2 (0,3), M2 (2,1), M5 (1,5) and M5 (3,3) in AdS_{4}xS^{7} and S^{4}xAdS_{7}. We furthermore present non-relativistic actions for the AdS branes.