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One Formulation for both Lineal Gravities through a Dimensional Reduction

The two lineal gravities --- based on the de Sitter group or a central extension of the Poincaré 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).

preprint1992arXivOpen access
Daniel Cangemi
gr-qchep-th
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Daniel Cangemi

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