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From my previous post, I found out from the comments that there are various generalisations of AdS/CFT with different things replacing the CFT on the RHS; such as AdS/CMT, AdS/QCD, and also with the AdS replaced on the LHS, like Kerr/CFT a hydrodynamic dual, etc.

I am thus led to ask, "Is there a generalisation of AdS/CFT with string theories on both sides?"

I can think of at least 1 example of a/n (holographic?) equivalence between a $D$ - dimensional string theory and a $D+1$ - dimensional string theory, T-Duality. E.g. the Type I String Theory and the Type I' String Theory, etc.

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  • $\begingroup$ Why do you say that T-duality is holographic? $\endgroup$
    – Matthew
    Aug 23, 2013 at 20:10
  • $\begingroup$ @Matthew: It was meant to be a questionmark, i.e. "holographic?", since a side question was whether there any holographic cases of T-duality. $\endgroup$
    – Abhimanyu Pallavi Sudhir
    Aug 24, 2013 at 2:08

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There are some examples of such phenomena if strings are topological on both sides. It was discovered by Gopakumar and Vafa in the paper On the Gauge Theory/Geometry Correspondence as the duality between topological A-models on deformed and resolved conifolds.

There exists a generalization of this duality to more general manifolds. Look, for example, at the paper by Gomis and Okuda D-branes as a Bubbling Calabi-Yau.

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