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Non-Relativistic Maxwell Chern-Simons Gravity
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abstract
We consider a non-relativistic (NR) limit of $(2+1)$-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] $\oplus \ u(1)\oplus u(1)$. 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] $\oplus\ u(1)$, which does not contain Extended Bargmann gravity (EBG); or, ii) the NR limit of [Maxwell] $\oplus\ u(1)\oplus u(1)\oplus u(1)$, which is a Maxwellian generalization of the EBG.
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Cited by 3 Pith papers
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Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
The su(1,2)⊕u(1) Chern-Simons theory is torsional Newton-Cartan gravity whose 1/c expansion reproduces the extended z=2 Schrödinger gravity and whose asymptotic symmetry is the W_3^(2)⊕u(1) algebra.
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On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
New infinite-dimensional superalgebras, the deformed and enlarged super-BMS3 algebras for N=1,2,4, are produced by S-expanding super-Virasoro and are related by a flat limit.
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Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
The asymptotic symmetry algebra of three-dimensional Maxwell Chern-Simons gravity with spin-3 fields is a new nonlinear algebra, hs3max-bms3, which is also obtained as the flat limit of three copies of the W3 algebra.
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