(2+1)-dimensional q gravity from q gravity in 3+1 dimensions

Details (2+1)-dimensional q gravity from q gravity in 3+1 dimensions (2+1)-dimensional q gravity from q gravity in 3+1 dimensions

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvd..65j7501s&link_type=abstract

Physical Review D, vol. 65, Issue 10, id. 107501

Mathematics

Logic

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We discuss a q deformation of the formalism proposed by Stelle and West and Grignani and Nardelli using the quantum Poincaré algebra. It is shown that the q-deformed formalism permits constructing an action for (3+1)-dimensional q gravity genuinely invariant under ISO(3,1). It is proved that, in the context of a q-Poincaré gauge formulation, q gravity in 3+1 dimensions can be dimensionally reduced to gravity in 2+1 dimensions with or without a cosmological constant. The dimensional reduction is consistent with the gauge symmetries, mapping ISOq(3,1) gauge transformations onto ISOq(2,1) ones.

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