Spectral Flow in AdS(3)/CFT(2)

Details Spectral Flow in AdS(3)/CFT(2) Spectral Flow in AdS(3)/CFT(2)

2007-12-18

arxiv.org/abs/0712.3046v2

JHEP 0806:013,2008

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, 2 figures

Scientific paper

10.1088/1126-6708/2008/06/013

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.

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