Non-relativistic $k$-contractions of the Coadjoint Poincaré algebra

Abstract

We study a class of extensions of the k-contracted Poincaré 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 Poincaré 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.

A few typos have been corrected

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Cited by in corpus (5)

• Limits of JT gravity
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Non-relativistic limits and three-dimensional coadjoint Poincare gravity
• Three-dimensional Newtonian gravity with cosmological constant and torsion
• Colourful Poincaré symmetry, gravity and particle actions