Non-relativistic strings and branes as non-linear realizations of Galilei groups

TL;DR

This paper develops actions for non-relativistic strings and membranes using Wess-Zumino terms derived from Galilei groups, providing a group-theoretic foundation for non-relativistic extended objects.

Contribution

It introduces a novel approach to formulating non-relativistic string and brane actions as non-linear realizations of Galilei groups, emphasizing a purely algebraic construction.

Findings

Actions constructed as Wess-Zumino terms for Galilei groups

Provides a group-theoretic framework for non-relativistic strings and branes

Lays groundwork for further exploration of non-relativistic extended objects

Abstract

We construct actions for non-relativistic strings and membranes purely as Wess-Zumino terms of the underlying Galilei groups.