Correlation Functions in AdS3/CFT2

Recently, an exact AdS3/CFT2 duality was proposed. String theory on AdS3xS3xT4 with one unit of pure NS-NS background flux was conjectured to be dual to the symmetric product orbifold of T4. This is established at the level of the full spectrum of the CFT. In this talk I will report on the matching of sphere correlation functions. This involves crucially the so-called spectrally flowed representations. The moduli space integral of n-point functions for n>3 is argued to localise to a finite sum. I will also discuss the corresponding classical solution of the SL(2,R) WZW model and show that their on-shell action precisely reproduce the correlation functions in the symmetric product orbifold as calculated by path integral methods.

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Affiliation

Member, School of Natural Sciences, IAS