Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics

TL;DR

This paper explores the structure of Newton-Hooke algebras derived from (A)dS spaces, their role in non-relativistic brane actions, and the construction of generalized pp-wave metrics based on these algebras.

Contribution

It introduces new generalized pp-wave metrics from Newton-Hooke algebras and links these algebras to non-relativistic brane actions and multi-temporal conformal algebras.

Findings

Newton-Hooke algebras are contractions of (A)dS algebras.

Non-relativistic brane actions are WZ terms of Newton-Hooke algebras.

Generalized pp-wave metrics are constructed from these algebras.

Abstract

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