Non-relativistic $k$-contractions of the Coadjoint Poincar\'e algebra
General Physics
2020-05-20 v2 High Energy Physics - Theory
Abstract
We study a class of extensions of the k-contracted Poincar\'e algebra under the hipotesis of generalizing the Bargmann algebra and his central charge. As we will see this type of contractions will lead in a natural way to consider the codajoint Poincar\'e algebra and some of their contractions. Among them there is one such that. considering the quotient of it by a suitable ideal, the (stringy) p-brane Galilei algebra is recovered.
Cite
@article{arxiv.1910.11682,
title = {Non-relativistic $k$-contractions of the Coadjoint Poincar\'e algebra},
author = {Andrea Barducci and Roberto Casalbuoni and Joaquim Gomis},
journal= {arXiv preprint arXiv:1910.11682},
year = {2020}
}
Comments
A few typos have been corrected