English

Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions

High Energy Physics - Theory 2020-07-02 v3 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.2004.01203,
  title  = {Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions},
  author = {Patrick Concha and Marcelo Ipinza and Evelyn Rodríguez},
  journal= {arXiv preprint arXiv:2004.01203},
  year   = {2020}
}

Comments

v3, 19 pages, Discussion added in section 4, reference added, version accepted in Physics Letters B

R2 v1 2026-06-23T14:37:17.214Z