Abstract We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity theory based on this new algebra is also constructed and discussed. We point out that the extended Bargmann and its Maxwellian generalization are particular sub-cases of the generalized Maxwellian extended Bargmann gravity introduced here. The extension of our results using the semigroup expansion method is also discussed.

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三个时空维度的广义麦克斯韦奇异巴格曼引力理论

摘要 我们通过考虑在三个时空维度中定义的广义麦克斯韦代数的非相对论限制，提出了所谓麦克斯韦扩展巴格曼代数的推广。还构建和讨论了基于这种新代数的非相对论陈-西蒙斯引力理论。我们指出扩展巴格曼引力及其麦克斯韦泛化是这里介绍的广义麦克斯韦扩展巴格曼引力的特例。还讨论了使用半群扩展方法扩展我们的结果。