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arXiv · 0712.3046

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

Gaston Giribet·Ari Pakman·Leonardo Rastelli
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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.

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Gaston Giribet, Ari Pakman, Leonardo Rastelli. 2007-12-19. Spectral Flow in AdS(3)/CFT(2). https://doi.org/10.1088/1126-6708%2F2008%2F06%2F013

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