# Which AdS/CFT correspondences have been found so far?

When I read about AdS/CFT correspondence, there always comes the most famous example of conjectured correspondence, which is the one between type IIB string theory (AdS side) and $$\mathcal{N}=4$$ supersymmetric Yang-Mills (CFT). I was wondering, if there were other correspondences that are being conjectured out there, but that maybe do not get so much "mainstream" attention?

As I understand it, the difficulty of finding the correspondences is that often one side can be treated perturbatively, while the other side not. In 2D CFT, I believe there are theories (correct me if I am wrong) that can be solved exactly. Was there any correspondence found there? I also heard about the AdS/CFT being a potential solution to the black hole information paradox. Is something specific conjectured here?

I am looking mostly for a list of the conjectured correspondences, if any, but any detail would be highly appreciated.

• @PeterKravchuk Right, but most of the CFT duals are not known, right? I mean, it seems to me that the systematics of AdS/CFT would be easier to study for theories in lower dimensions with exact known solutions, such as some 2D CFTs for example. Or is the supersymmetry of $\mathcal{N}=4$ making it easier than anything else? – Jxx Jun 20 at 22:47