Spectral Flow in AdS(3)/CFT(2)
Dec, 2007
50 pages
Published in:
- JHEP 06 (2008) 013
e-Print:
- 0712.3046 [hep-th]
Report number:
- YITP-SB-07-38
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Abstract: (arXiv)
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.- AdS/CFT
- string model
- supersymmetry
- duality
- space-time: anti-de Sitter
- dimension: 10
- space: S(3)
- space: T(4)
- field theory: conformal
- spectral representation
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