On a canonical quantization of 3D Anti de Sitter pure gravity
On a canonical quantization of 3D Anti de Sitter pure gravity
We perform a canonical quantization of pure gravity on AdS 3 using as a technical tool its equivalence at the classical level with a Chern-Simons theory with gauge group $$ \mathrm{S}\mathrm{L}\left(2,\mathbb{R}\right)\times \mathrm{S}\mathrm{L}\left(2,\mathbb{R}\right) $$ . We first quantize the theory canonically on an asymptotically AdS space -which is topologically the real …