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April 2009 Exact chiral ring of AdS3/CFT2
Atish Dabholkar, Ari Pakman
Adv. Theor. Math. Phys. 13(2): 409-462 (April 2009).

Abstract

We carry out an exact worldsheet computation of tree level threepoint correlators of chiral operators in type IIB string theory on AdS3 × S3 × T4 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 $\mathbb{H}_+^{3}$ 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 $\mathbb{H}_+^{3}$ 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 T4 at the orbifold point in the large N limit.

Citation

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Atish Dabholkar. Ari Pakman. "Exact chiral ring of AdS3/CFT2." Adv. Theor. Math. Phys. 13 (2) 409 - 462, April 2009.

Information

Published: April 2009
First available in Project Euclid: 17 February 2009

zbMATH: 1166.81357
MathSciNet: MR2481270

Rights: Copyright © 2009 International Press of Boston

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Vol.13 • No. 2 • April 2009
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