English

Non-Relativistic Maxwell Chern-Simons Gravity

High Energy Physics - Theory 2018-06-13 v2

Abstract

We consider a non-relativistic (NR) limit of (2+1)(2+1)-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell]  u(1)u(1)\oplus \ u(1)\oplus u(1). We obtain a finite NR CS gravity with a degenerate invariant bilinear form. We find two ways out of this difficulty: To consider i) [Maxwell]  u(1)\oplus\ u(1), which does not contain Extended Bargmann gravity (EBG); or, ii) the NR limit of [Maxwell]  u(1)u(1)u(1)\oplus\ u(1)\oplus u(1)\oplus u(1), which is a Maxwellian generalization of the EBG.

Keywords

Cite

@article{arxiv.1802.08453,
  title  = {Non-Relativistic Maxwell Chern-Simons Gravity},
  author = {Luis Avilés and Ernesto Frodden and Joaquim Gomis and Diego Hidalgo and Jorge Zanelli},
  journal= {arXiv preprint arXiv:1802.08453},
  year   = {2018}
}

Comments

19 pages, 1 table, subsection 3.3 added, abstract and references modified

R2 v1 2026-06-23T00:31:11.605Z