# Contractions of the Maxwell algebra

## TL;DR

This paper systematically constructs various non-relativistic contractions of the Maxwell algebra, including Galilei and Carroll types, in different space-time dimensions, expanding the algebraic framework for theoretical physics models.

## Contribution

It provides a comprehensive classification of all possible k-contractions of the Maxwell algebra in arbitrary dimensions, a novel extension in algebraic contractions.

## Key findings

- Classified all non-relativistic k-contractions of Maxwell algebra
- Extended the algebraic framework for p-brane theories
- Identified new algebraic structures relevant for theoretical physics

## Abstract

We construct all the possible non-relativistic, non-trivial, Galilei and Carroll k-contractions also known as k-1 p-brane contractions of the Maxwell algebra in $D+1$ space-time dimensions. $k$ has to do with the number of space-time dimensions one is contracting.