Contents Online

# Advances in Theoretical and Mathematical Physics

## Volume 13 (2009)

### Number 2

### Exact chiral ring of AdS_{3}/CFT_{2}

Pages: 409 – 462

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n2.a2

#### Authors

#### Abstract

We carry out an exact worldsheet computation of tree level threepoint correlators of chiral operators in type IIB string theory on $AdS_3 × S^3 × T^4$ with NS-NS flux. We present a simple representation for the string chiral operators in the coordinate basis of the dual boundary CFT. Striking cancelations occur between the three-point functions of the $\H_+^{3}$ and the SU(2) WZW models which result in a simple factorized form for the final correlators. We show, by fixing a single free parameter in the $\H_+^{3}$ WZW model, that the fusion rules and the structure constants of the N = 2 chiral ring in the bulk are in precise agreement with earlier computations in the boundary CFT of the symmetric product of $T^4$ at the orbifold point in the large N limit.