It's a sunny Wednesday and Natalia Saulina convinced me to attend a seminar of Martijn Wijnholt, a Harvard alumnus, at the M.I.T. He's been working on it with Leonardo Rastelli, also at Princeton. Their work, a topological simplified version of the AdS/CFT correspondence, relates two theories:
- the B-model on "H3 x S3" where the hyperboloid "H3" is a Euclidean version of "AdS3" (as a reader reminded me - thanks - the obvious answer why "H3" and not "AdS3" is that one needs an even number of time dimensions (0) for the complex structure to exist, so that we can twist the theory)
- a subset of the symmetric orbifold CFT, living on the boundary
Unfortunately, Martijn did not really have time to discuss the second theory, namely the boundary CFT, and he focused on the bulk description. However, there were some interesting points already in the bulk description. The most important one is that he argued that the twisted WZW model is equivalent to
- the bosonic (p,1) minimal model
Martijn also realized that Vafa et al. argued that the minimal models were equivalent to a Calabi-Yau space, and he conjectured that "H3 x S3" is T-dual to the Calabi-Yau space where the required T-duality acts on two circles. I am slightly skeptical about this claim.