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Non-relativistic Maxwell Chern-Simons gravity

2018; Springer Nature; Volume: 2018; Issue: 5 Linguagem: Inglês

10.1007/jhep05(2018)047

1127-2236

Luis Avilés, Ernesto Frodden, Joaquim Gomis, Diego Hidalgo, Jorge Zanelli,

Noncommutative and Quantum Gravity Theories

A bstract 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.