The factorization problem in Jackiw-Teitelboim Gravity

I discuss the quantum mechanics of a very simple theory of quantum gravity in 1+1 dimensions, the Jackiw-Teitelboim theory which arises in the near horizon limit of extremal Reissner-Nordstrom black holes. This theory is interesting as a simple example of a theory of quantum gravity in asymptotically-AdS space which does NOT have a CFT dual. The argument for this is very likely also correct for pure Einstein gravity in 2+1 dimensions, where it would establish once and for all that there is no CFT dual to pure gravity. Indeed most of the puzzles of 2+1 dimensional gravity have simple avatars in JT gravity.

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