Spectral Flow in AdS(3)/CFT(2)
Abstract
We study the spectral flowed sectors of the H3 WZW model in the context of the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4 with NSNS flux and the symmetric product orbifold of T^4. We construct explicitly the physical vertex operators in the flowed sectors that belong to short representations of the superalgebra, thus completing the bulk-to-boundary dictionary for 1/2 BPS states. We perform a partial calculation of the string three-point functions of these operators. A complete calculation would require the three-point couplings of non-extremal flowed operators in the H3 WZW model, which are at present unavailable. In the unflowed sector, perfect agreement has recently been found between the bulk and boundary three-point functions of 1/2 BPS operators. Assuming that this agreement persists in the flowed sectors, we determine certain unknown three-point couplings in the H3 WZW model in terms of three-point couplings of affine descendants in the SU(2) WZW model.
Cite
@article{arxiv.0712.3046,
title = {Spectral Flow in AdS(3)/CFT(2)},
author = {Gaston Giribet and Ari Pakman and Leonardo Rastelli},
journal= {arXiv preprint arXiv:0712.3046},
year = {2009}
}
Comments
50 pages, 2 figures