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arXiv · 1910.11682

Non-relativistic $k$-contractions of the Coadjoint Poincar\'e algebra

Andrea Barducci·Roberto Casalbuoni·Joaquim Gomis
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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.

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Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis. 2019-10-24. Non-relativistic $k$-contractions of the Coadjoint Poincar\'e algebra. https://doi.org/10.1142/s0217751x20500098

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