مشخصات پژوهش

We obtain (2+1)-dimensional gravity with cosmological constant which is coupled to gauge fields, using Maxwell and semisimple extension of the Poincaré gauge symmetric models (i.e., Chern-Simons models with these gauge groups). Also, we obtain some AdS-and BTZ-type solutions for the classical equations of motion for these (2 þ 1)-dimensional gravities. For the semisimple extension of the Poincaré gauge group we investigate the AdS/CFT correspondence and show that the model at the boundary is equivalent to the sum of three Wess-Zumino-Witten models over group SOð2; 1Þ. Then, we show that the central charge of the CFT is the same as that of CFTat the boundary of AdS spacetime related to the Chern- Simons model with gauge group SOð2; 2Þ. Finally, we show that these two (2 þ 1)-dimensional gravity models are dual (canonically transformed) to each other.