One Formulation for both Lineal Gravities through a Dimensional Reduction

Daniel Cangemi

One Formulation for both Lineal Gravities through a Dimensional Reduction

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arxiv gr-qc/9207004 v1 pith:UJSHNJYE submitted 1992-07-23 gr-qc hep-th

Daniel Cangemi This is my paper

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The two lineal gravities --- based on the de Sitter group or a central extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive classically from a unique topological gauge theory. This one is obtained after a dimensional reduction of a Chern--Simons model, which describes pure gravity in 2+1 dimensions, the gauge symmetry being given by an extension of ISO(2,1).

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Boundary dynamics of Maxwell-invariant three-dimensional Chern-Simons gravity
hep-th 2025-06 conditional novelty 5.0 of 10

A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.

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