Newton-Hooke algebras, nonrelativistic branes, and generalized pp-wave metrics

Abstract

The Newton-Hooke algebras in $d$ dimensions are constructed as contractions of dS(AdS) algebras. Nonrelativistic brane actions are WZ terms of these Newton-Hooke algebras. The NH algebras appear also as subalgebras of multitemporal relativistic conformal algebras, $SO(d+1,p+2)$. We construct generalizations of pp-wave metrics from these algebras.