Non-Relativistic Maxwell Chern-Simons Gravity

Abstract

We consider a non-relativistic (NR) limit of (2+1)-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] \ u(1) 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), which does not contain Extended Bargmann gravity (EBG); or, ii) the NR limit of [Maxwell] \ u(1) u(1) u(1), which is a Maxwellian generalization of the EBG.

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